Nonocross - Puzzle 56

Nonocross Puzzle 56 Answer — Snowman

Nonocross Puzzle 56, Snowman, is a 10×10 grid with 50 filled cells and 50 empty cells in the stored game board. The completed board is shown below with its row and column clues. These clues allow 2 valid grids, so the displayed board is a verified solution but not the only arrangement that satisfies every clue.

Use the clue tables and forced-cell information to compare your progress. A board can differ from the stored picture in the uncertain cells and still be correct if every row and column clue is satisfied.

Puzzle 56 - solved boardSnowman
10 x 10
Grid size
50
Filled cells
50
Empty cells
2
Valid grids for these clues
96
Forced cells
4
Uncertain cells

The clues

Nonocross Puzzle 56 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 56 has 10 rows and 10 columns.

Row clues and cells to fill for Nonocross puzzle 56
RowClueFill cells
Row 153 - 7
Row 2152, 4 - 8
Row 372 - 8
Row 411111, 4, 6, 8
Row 5134, 8 - 10
Row 6111112, 4, 6, 8, 10
Row 72122 - 3, 5, 8 - 9
Row 8223 - 4, 8 - 9
Row 9153, 5 - 9
Row 10134, 6 - 8
Column clues and cells to fill for Nonocross puzzle 56
ColumnClueFill cells
Col 114
Col 2222 - 3, 6 - 7
Col 31131, 3, 7 - 9
Col 46111 - 6, 8, 10
Col 53111 - 3, 7, 9
Col 64121 - 4, 6, 9 - 10
Col 7321 - 3, 9 - 10
Col 892 - 10
Col 9135, 7 - 9
Col 1025 - 6

The answer

Nonocross Puzzle 56 Solved Grid

Puzzle 56 (Snowman) is a 10×10 board with 50 filled cells and 50 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.

··■■■■■···
·■·■■■■■··
·■■■■■■■··
■··■·■·■··
···■···■■■
·■·■·■·■·■
·■■·■··■■·
··■■···■■·
··■·■■■■■·
···■·■■■··

Does Nonocross Puzzle 56 Have More Than One Solution?

Yes. A solver found 2 different grids that satisfy every row and column clue.

Of the 100 cells, 96 are identical in every valid grid and 4 can change between valid solutions. The displayed board is the grid stored with the puzzle, but another arrangement can also be correct if it satisfies every clue.

How to solve it

How to Solve Nonocross Puzzle 56

Start with the lines that need no thinking: Column 4 (6 1 1 on 10 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 8: its clue 9 needs 9 of the 10 cells, leaving 1 spare. The block of 9 can slide by at most 1, so cells 2–9 are filled in every placement.

Single-line deductions fix 26 of the 100 cells in the first pass and 96 after 6 passes, then stall. The remaining 4 cells are not forced by line logic alone.

Deductions

Step-by-Step Deductions for Puzzle 56

These deductions come from the actual clues of puzzle 56, applied one line at a time and repeated until nothing new follows.

1

Pass 1 · Column 4

(clue 6 1 1 on 10 cells): cells 1–6, 8, 10 must be filled and cells 7, 9 must be empty, whatever the rest of the grid holds.

2

Pass 1 · Column 8

(clue 9 on 10 cells): cells 2–9 must be filled, whatever the rest of the grid holds.

3

Pass 1 · Row 3

(clue 7 on 10 cells): cells 4–7 must be filled, whatever the rest of the grid holds.

4

Pass 2 · Row 6

(clue 1 1 1 1 1): using the cells already fixed by crossing lines settles 6 more cells.

5

Pass 3 · Column 10

(clue 2): using the cells already fixed by crossing lines settles 6 more cells.

Watch out

Common Mistakes in Nonocross Puzzle 56

Joining two groups

Row 2 reads 1 5. In the finished board the groups of 1 and 5 are separated by a single empty cell (cell 3). Filling it would merge them into one block of 7 and break the clue.

Treating a different valid grid as an error

4 cells of this puzzle can legitimately differ between valid grids. If your board satisfies every row and column clue it is a valid solution, even if it does not match the stored picture.

Overthinking a full line

Column 4 (clue 6 1 1 on 10 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 56 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 5 and column 1 must read 1; the last row must read 1 3 and the last column 2.

The line with the most groups is Row 6, which must read 1 1 1 1 1; it is the quickest place to spot a merged or split group.

Verification

How This Nonocross Puzzle 56 Answer Was Verified

  • The filled-cell groups of all 10 rows and 10 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 10×10 grid drawn from the game’s own graphics files: identical.
  • A solver counted the grids that satisfy the clues: 2.
  • Not established: this board has not been replayed in the live game app. How SolvedWise checks answers.

Questions

Questions About Nonocross Puzzle 56

What is the answer to Nonocross Puzzle 56?

The displayed 10×10 board is a valid solution for Snowman, but the clues allow 2 valid grids in total.

What are the row clues for Puzzle 56?

row 1: 5; row 2: 1 5; row 3: 7; row 4: 1 1 1 1; row 5: 1 3; row 6: 1 1 1 1 1; row 7: 2 1 2; row 8: 2 2; row 9: 1 5; row 10: 1 3.

What are the column clues for Puzzle 56?

column 1: 1; column 2: 2 2; column 3: 1 1 3; column 4: 6 1 1; column 5: 3 1 1; column 6: 4 1 2; column 7: 3 2; column 8: 9; column 9: 1 3; column 10: 2.

Is Nonocross Puzzle 56 uniquely solvable?

No. 2 grids satisfy the complete clue set.

How should I start solving Puzzle 56?

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.