Nonocross - Puzzle 31
Nonocross Puzzle 31 Answer — Tower
Nonocross Puzzle 31, Tower, is a 7×7 grid with 29 filled cells and 20 empty cells. The completed board is shown below with the exact row and column clues used to verify it. A solver found exactly one grid that satisfies every clue, so this solution is uniquely determined.
Use the clue tables and deduction steps to compare your progress. Every filled group must match the clue for its row and column exactly.
The clues
Nonocross Puzzle 31 Row and Column Clues
Each line shows its clue and the cells to fill, counted from the left for rows or from the top for columns. Puzzle 31 has 7 rows and 7 columns.
| Row | Clue | Fill cells |
|---|---|---|
| Row 1 | 111 | 2, 4, 6 |
| Row 2 | 5 | 2 - 6 |
| Row 3 | 3 | 3 - 5 |
| Row 4 | 3 | 3 - 5 |
| Row 5 | 3 | 3 - 5 |
| Row 6 | 5 | 2 - 6 |
| Row 7 | 7 | 1 - 7 |
| Column | Clue | Fill cells |
|---|---|---|
| Col 1 | 1 | 7 |
| Col 2 | 22 | 1 - 2, 6 - 7 |
| Col 3 | 6 | 2 - 7 |
| Col 4 | 7 | 1 - 7 |
| Col 5 | 6 | 2 - 7 |
| Col 6 | 22 | 1 - 2, 6 - 7 |
| Col 7 | 1 | 7 |
The answer
Nonocross Puzzle 31 Solved Grid
Puzzle 31 (Tower) is a 7×7 board with 29 filled cells and 20 empty cells. The board above is repeated here as plain text, one row per line, with ■ for a filled cell and · for an empty cell, so it can be copied or read by a screen reader.
·■·■·■· ·■■■■■· ··■■■·· ··■■■·· ··■■■·· ·■■■■■· ■■■■■■■
Is Nonocross Puzzle 31 Unique?
Yes. A solver enumerated every grid that satisfies all 7 row clues and 7 column clues and found exactly one. The displayed board is therefore forced by the clue set.
How to solve it
How to Solve Nonocross Puzzle 31
Start with the lines that need no thinking: Row 7 (7 on 7 cells), Column 4 (7 on 7 cells). A clue that adds up to the full length of its line, counting one gap between groups, can be filled straight away.
The strongest overlap is Column 3: its clue 6 needs 6 of the 7 cells, leaving 1 spare. The block of 6 can slide by at most 1, so cells 2–6 are filled in every placement.
Applying these single-line deductions to every row and column, then repeating with what is known, fixes 23 of the 49 cells in the first pass and completes the grid in 3 passes. No guessing is needed.
Deductions
Step-by-Step Deductions for Puzzle 31
These deductions come from the actual clues of puzzle 31, applied one line at a time and repeated until nothing new follows.
Pass 1 · Row 7
(clue 7 on 7 cells): cells 1–7 must be filled, whatever the rest of the grid holds.
Pass 1 · Column 4
(clue 7 on 7 cells): cells 1–7 must be filled, whatever the rest of the grid holds.
Pass 1 · Column 3
(clue 6 on 7 cells): cells 2–6 must be filled, whatever the rest of the grid holds.
Pass 2 · Column 1
(clue 1): using the cells already fixed by crossing lines settles 6 more cells.
Pass 3 · Row 1
(clue 1 1 1): using the cells already fixed by crossing lines settles 2 more cells.
Watch out
Common Mistakes in Nonocross Puzzle 31
Joining two groups
Row 1 reads 1 1 1. In the finished board the groups of 1 and 1 are separated by a single empty cell (cell 3). Filling it would merge them into one block of 3 and break the clue.
Overthinking a full line
Row 7 (clue 7 on 7 cells) has no spare cell, so every position in it is decided by the clue; there is nothing to test.
Using the answer
How to Check Your Nonocross Puzzle 31 Answer
Read the filled-cell groups in every row and column of your grid and compare them with the clue lists above. In this puzzle row 1 must read 1 1 1 and column 1 must read 1; the last row must read 7 and the last column 1.
The line with the most groups is Row 1, which must read 1 1 1; it is the quickest place to spot a merged or split group.
Uniqueness
Verification
How This Nonocross Puzzle 31 Answer Was Verified
- The filled-cell groups of all 7 rows and 7 columns of the stored board were read and compared with the clue sequences: every line matches.
- The stored board was compared cell by cell with the 7×7 grid drawn from the game’s own graphics files: identical.
- A solver counted the grids that satisfy the clues: one.
- Not established: this board has not been replayed in the live game app. How SolvedWise checks answers.
Questions
Questions About Nonocross Puzzle 31
What is the answer to Nonocross Puzzle 31?
What are the row clues for Puzzle 31?
What are the column clues for Puzzle 31?
Is Nonocross Puzzle 31 uniquely solvable?
How should I start solving Puzzle 31?
Keep going
More Nonocross Answers
Nearby