Nonocross - Puzzle 20

Nonocross Puzzle 20 Answer — Willow

Nonocross Puzzle 20, Willow, is a 7×7 grid with 34 filled cells and 15 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 20 - solved boardWillow
7 x 7
Grid size
34
Filled cells
15
Empty cells
1
Valid grid for these clues

The clues

Nonocross Puzzle 20 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 20 has 7 rows and 7 columns.

Row clues and cells to fill for Nonocross puzzle 20
RowClueFill cells
Row 1222 - 3, 5 - 6
Row 21112, 4, 6
Row 32121 - 2, 4, 6 - 7
Row 42121 - 2, 4, 6 - 7
Row 571 - 7
Row 671 - 7
Row 733 - 5
Column clues and cells to fill for Nonocross puzzle 20
ColumnClueFill cells
Col 143 - 6
Col 261 - 6
Col 3131, 5 - 7
Col 462 - 7
Col 5131, 5 - 7
Col 661 - 6
Col 743 - 6

The answer

Nonocross Puzzle 20 Solved Grid

Puzzle 20 (Willow) is a 7×7 board with 34 filled cells and 15 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 20 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 20

Start with the lines that need no thinking: Row 3 (2 1 2 on 7 cells), Row 4 (2 1 2 on 7 cells), Row 5 (7 on 7 cells), Row 6 (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 2: 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 31 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 20

These deductions come from the actual clues of puzzle 20, applied one line at a time and repeated until nothing new follows.

1

Pass 1 · Row 3

(clue 2 1 2 on 7 cells): cells 1–2, 4, 6–7 must be filled and cells 3, 5 must be empty, whatever the rest of the grid holds.

2

Pass 1 · Row 4

(clue 2 1 2 on 7 cells): cells 1–2, 4, 6–7 must be filled and cells 3, 5 must be empty, whatever the rest of the grid holds.

3

Pass 1 · Row 5

(clue 7 on 7 cells): cells 1–7 must be filled, whatever the rest of the grid holds.

4

Pass 2 · Row 2

(clue 1 1 1): using the cells already fixed by crossing lines settles 4 more cells.

5

Pass 3 · Row 1

(clue 2 2): using the cells already fixed by crossing lines settles 5 more cells.

Watch out

Common Mistakes in Nonocross Puzzle 20

Joining two groups

Row 1 reads 2 2. In the finished board the groups of 2 and 2 are separated by a single empty cell (cell 4). Filling it would merge them into one block of 5 and break the clue.

Overthinking a full line

Row 3 (clue 2 1 2 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 20 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 2 2 and column 1 must read 4; the last row must read 3 and the last column 4.

The line with the most groups is Row 4, which must read 2 1 2; it is the quickest place to spot a merged or split group.

Uniqueness

Verification

How This Nonocross Puzzle 20 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 20

What is the answer to Nonocross Puzzle 20?

The solved 7×7 grid shown above is the only grid that satisfies all clues for Willow.

What are the row clues for Puzzle 20?

row 1: 2 2; row 2: 1 1 1; row 3: 2 1 2; row 4: 2 1 2; row 5: 7; row 6: 7; row 7: 3.

What are the column clues for Puzzle 20?

column 1: 4; column 2: 6; column 3: 1 3; column 4: 6; column 5: 1 3; column 6: 6; column 7: 4.

Is Nonocross Puzzle 20 uniquely solvable?

Yes. Exactly one grid satisfies the complete clue set.

How should I start solving Puzzle 20?

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.