Nonocross - Puzzle 1

Nonocross Puzzle 1 Answer — Square

Nonocross Puzzle 1, Square, is a 3×3 grid with 8 filled cells and 1 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.

Puzzle 1 - solved boardSquare
3 x 3
Grid size
8
Filled cells
1
Empty cells
1
Valid grid for these clues

The clues

Nonocross Puzzle 1 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 1 has 3 rows and 3 columns.

Row clues and cells to fill for Nonocross puzzle 1
RowClueFill cells
Row 131 - 3
Row 2111, 3
Row 331 - 3
Column clues and cells to fill for Nonocross puzzle 1
ColumnClueFill cells
Col 131 - 3
Col 2111, 3
Col 331 - 3

The answer

Nonocross Puzzle 1 Solved Grid

Puzzle 1 (Square) is a 3×3 board with 8 filled cells and 1 empty cell. 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 1 Unique?

Yes. A solver enumerated every grid that satisfies all 3 row clues and 3 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 1

Start with the lines that need no thinking: Row 1 (3 on 3 cells), Row 2 (1 1 on 3 cells), Row 3 (3 on 3 cells), Column 1 (3 on 3 cells). A clue that adds up to the full length of its line, counting one gap between groups, can be filled straight away.

Applying these single-line deductions to every row and column, then repeating with what is known, fixes 9 of the 9 cells in the first pass and completes the grid in 1 pass. No guessing is needed.

Deductions

Step-by-Step Deductions for Puzzle 1

These deductions come from the actual clues of puzzle 1, applied one line at a time and repeated until nothing new follows.

1

Pass 1 · Row 1

(clue 3 on 3 cells): cells 1–3 must be filled, whatever the rest of the grid holds.

2

Pass 1 · Row 2

(clue 1 1 on 3 cells): cells 1, 3 must be filled and cell 2 must be empty, whatever the rest of the grid holds.

3

Pass 1 · Row 3

(clue 3 on 3 cells): cells 1–3 must be filled, whatever the rest of the grid holds.

Watch out

Common Mistakes in Nonocross Puzzle 1

Joining two groups

Row 2 reads 1 1. In the finished board the groups of 1 and 1 are separated by a single empty cell (cell 2). Filling it would merge them into one block of 3 and break the clue.

Overthinking a full line

Row 1 (clue 3 on 3 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 1 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 3 and column 1 must read 3; the last row must read 3 and the last column 3.

The line with the most groups is Row 2, which must read 1 1; it is the quickest place to spot a merged or split group.

Uniqueness

Verification

How This Nonocross Puzzle 1 Answer Was Verified

  • The filled-cell groups of all 3 rows and 3 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 3×3 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 1

What is the answer to Nonocross Puzzle 1?

The solved 3×3 grid shown above is the only grid that satisfies all clues for Square.

What are the row clues for Puzzle 1?

row 1: 3; row 2: 1 1; row 3: 3.

What are the column clues for Puzzle 1?

column 1: 3; column 2: 1 1; column 3: 3.

Is Nonocross Puzzle 1 uniquely solvable?

Yes. Exactly one grid satisfies the complete clue set.

How should I start solving Puzzle 1?

Start with the row or column whose clue uses the greatest proportion of its available cells, then transfer the confirmed cells to the crossing clues.