Nonocross - Puzzle 37

Nonocross Puzzle 37 Answer — Heart

Nonocross Puzzle 37, Heart, is a 10×10 grid with 72 filled cells and 28 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 37 - solved boardHeart
10 x 10
Grid size
72
Filled cells
28
Empty cells
1
Valid grid for these clues

The clues

Nonocross Puzzle 37 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 37 has 10 rows and 10 columns.

Row clues and cells to fill for Nonocross puzzle 37
RowClueFill cells
Row 1222 - 3, 8 - 9
Row 2441 - 4, 7 - 10
Row 3101 - 10
Row 4101 - 10
Row 5101 - 10
Row 6101 - 10
Row 782 - 9
Row 863 - 8
Row 944 - 7
Row 1025 - 6
Column clues and cells to fill for Nonocross puzzle 37
ColumnClueFill cells
Col 152 - 6
Col 271 - 7
Col 381 - 8
Col 482 - 9
Col 583 - 10
Col 683 - 10
Col 782 - 9
Col 881 - 8
Col 971 - 7
Col 1052 - 6

The answer

Nonocross Puzzle 37 Solved Grid

Puzzle 37 (Heart) is a 10×10 board with 72 filled cells and 28 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 37 Unique?

Yes. A solver enumerated every grid that satisfies all 10 row clues and 10 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 37

Start with the lines that need no thinking: Row 3 (10 on 10 cells), Row 4 (10 on 10 cells), Row 5 (10 on 10 cells), Row 6 (10 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 3: its clue 8 needs 8 of the 10 cells, leaving 2 spare. The block of 8 can slide by at most 2, so cells 3–8 are filled in every placement.

Applying these single-line deductions to every row and column, then repeating with what is known, fixes 60 of the 100 cells in the first pass and completes the grid in 5 passes. No guessing is needed.

Deductions

Step-by-Step Deductions for Puzzle 37

These deductions come from the actual clues of puzzle 37, applied one line at a time and repeated until nothing new follows.

1

Pass 1 · Row 3

(clue 10 on 10 cells): cells 1–10 must be filled, whatever the rest of the grid holds.

2

Pass 1 · Row 4

(clue 10 on 10 cells): cells 1–10 must be filled, whatever the rest of the grid holds.

3

Pass 1 · Row 5

(clue 10 on 10 cells): cells 1–10 must be filled, whatever the rest of the grid holds.

4

Pass 2 · Row 8

(clue 6): using the cells already fixed by crossing lines settles 4 more cells.

5

Pass 3 · Row 9

(clue 4): using the cells already fixed by crossing lines settles 2 more cells.

Watch out

Common Mistakes in Nonocross Puzzle 37

Overthinking a full line

Row 3 (clue 10 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 37 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 5; the last row must read 2 and the last column 5.

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

Uniqueness

Verification

How This Nonocross Puzzle 37 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: one.
  • Not established: this board has not been replayed in the live game app. How SolvedWise checks answers.

Questions

Questions About Nonocross Puzzle 37

What is the answer to Nonocross Puzzle 37?

The solved 10×10 grid shown above is the only grid that satisfies all clues for Heart.

What are the row clues for Puzzle 37?

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

What are the column clues for Puzzle 37?

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

Is Nonocross Puzzle 37 uniquely solvable?

Yes. Exactly one grid satisfies the complete clue set.

How should I start solving Puzzle 37?

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.