1. Nonogram study 7
11 steps in the included checked route. Try the board first, then compare the reasoning.
PRACTICE COLLECTION
Choose the next useful line
Combine the four techniques without being told which one to use next. Check each conclusion against the displayed clues and leave unresolved squares open rather than completing an imagined picture.
Print these three studies with answers
Start with a decision
TRY IT 1 · nonograms-exact-fit-2
| C14 | C21 3 | C31 3 | C41 | C51 1 1 | |
|---|---|---|---|---|---|
| R12 · 1 | |||||
| R21 | |||||
| R33 · 1 | |||||
| R43 | |||||
| R55 |
What can you justify?
Use the exact fit technique. What does it prove about R3C1? Treat the displayed starting marks as established facts.
Written explanation
Row 3, clue 3, 1: 1 legal arrangement remains after respecting the current marks. Every arrangement agrees on R3C1 filled, R3C2 filled, R3C3 filled, R3C4 empty, R3C5 filled. Other undecided cells in this line are left open.
TRY IT 2 · nonograms-overlap-2
| C14 | C21 3 | C31 3 | C41 | C51 1 1 | |
|---|---|---|---|---|---|
| R12 · 1 | |||||
| R21 | |||||
| R33 · 1 | |||||
| R43 | |||||
| R55 |
What can you justify?
Use the overlap technique. What does it prove about R1C2? Treat the displayed starting marks as established facts.
Written explanation
Row 1, clue 2, 1: 3 legal arrangements remain after respecting the current marks. Every arrangement agrees on R1C2 filled. Other undecided cells in this line are left open.
TRY IT 3 · nonograms-completed-run-2
| C14 | C21 3 | C31 3 | C41 | C51 1 1 | |
|---|---|---|---|---|---|
| R12 · 1 | |||||
| R21 | |||||
| R33 · 1 | |||||
| R43 | |||||
| R55 |
What can you justify?
Use the completed runs technique. What does it prove about R1C4? Treat the displayed starting marks as established facts.
Written explanation
Column 4, clue 1: 1 legal arrangement remains after respecting the current marks. Every arrangement agrees on R1C4 empty, R2C4 empty, R4C4 empty. Other undecided cells in this line are left open.
TRY IT 4 · nonograms-crossing-2
| C14 | C21 3 | C31 3 | C41 | C51 1 1 | |
|---|---|---|---|---|---|
| R12 · 1 | |||||
| R21 | |||||
| R33 · 1 | |||||
| R43 | |||||
| R55 |
What can you justify?
Use the crossing information technique. What does it prove about R2C2? Treat the displayed starting marks as established facts.
Written explanation
Column 2, clue 1, 3: 1 legal arrangement remains after respecting the current marks. Every arrangement agrees on R2C2 empty, R3C2 filled, R4C2 filled, R5C2 filled. Other undecided cells in this line are left open.
Apply the ideas to a complete board
These are fixed original studies, not new daily puzzles. The three study links below and this collection’s printable pack use identical starting positions. Their checked solution routes are included on each practice page. A collection’s technique drills may also appear in its lessons.
2. Nonogram study 8
12 steps in the included checked route. Try the board first, then compare the reasoning.
3. Nonogram study 9
13 steps in the included checked route. Try the board first, then compare the reasoning.