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How to Solve a Nonogram: 4 Beginner Hints (Simple 7)

Nonogram The JoyPlus Soft Planning Team

A nonogram never asks you to guess. Every square can be worked out from the numbers, one row or one column at a time. Instead of listing tips, let's solve one real board from the game together: Simple 7, a 10x10 picture. Four hints come up along the way, in the order you need them, and they are the same four you will use on every board after this one.

Nonograms go by many names, picross and griddlers among them, but the rules are the same everywhere.

The rules

Pick the check button to paint or the X button to mark, then tap a square, or drag along a line to do several at once. An X means "this square stays empty". It is only a note for you, but it is what makes the next move visible, so use it a lot. Rows are counted from the top and columns from the left.

Simple 7. Ten rows, ten columns, nothing painted yet.
Simple 7. Ten rows, ten columns, nothing painted yet.

Hint 1: Lines the numbers fill completely

Rows 3 to 6 are fully decided by their numbers. New painted squares are blue and new X marks are red.
Rows 3 to 6 are fully decided by their numbers. New painted squares are blue and new X marks are red.

Add up the numbers in a line, plus one empty square between each pair of runs. If the total is 10, the line has no room to move. Row 3 is 2 + 1 + 7 = 10, row 4 is 1 + 1 + 8 = 10, row 5 is 1 + 1 + 6 + 1 + 1 = 10, and row 6 is simply 10. Paint them and put an X in each gap.

Hint 2: Big numbers overlap

Row 2 (4 4) and row 7 (5 2) still have a little room, but some of their squares are painted wherever the runs end up.
Row 2 (4 4) and row 7 (5 2) still have a little room, but some of their squares are painted wherever the runs end up.

Row 2 needs 4 + 1 + 4 = 9 squares, one less than 10. Push both runs all the way to the left, then all the way to the right: each 4 moves by only one square, so its middle three squares are painted either way. Row 7 needs 5 + 1 + 2 = 8, so it has two spare squares. The 5 can slide by two, which still leaves its middle three (columns 3 to 5) painted. The 2 is no longer than the spare room, so it gives nothing yet.

Hint 3: Grow from the squares you know

Column 1 is a single 5, and rows 3 to 6 are already painted. A run of 5 that covers them can reach row 2 or row 7 at most, so rows 1 and 8 to 10 are X.
Column 1 is a single 5, and rows 3 to 6 are already painted. A run of 5 that covers them can reach row 2 or row 7 at most, so rows 1 and 8 to 10 are X.

Once a line has painted squares or X marks, push its runs left and right again. This time a run cannot cross an X or the edge, and it cannot leave a painted square uncovered. Squares that every position covers are painted, and squares that no run can reach are X.

Column 2 is 3 2, and the X marks in rows 4 and 5 split it. The 3 already has rows 2 and 3 and cannot go below the X, so it is rows 1 to 3. The 2 has row 6 and cannot go above the X, so it is rows 6 and 7. The rest is X.
Column 2 is 3 2, and the X marks in rows 4 and 5 split it. The 3 already has rows 2 and 3 and cannot go below the X, so it is rows 1 to 3. The 2 has row 6 and cannot go above the X, so it is rows 6 and 7. The rest is X.
Row 1 starts with an X and then a painted square. That square belongs to the first 2, which cannot move left past the X, so the 2 is columns 2 and 3 and column 4 is X.
Row 1 starts with an X and then a painted square. That square belongs to the first 2, which cannot move left past the X, so the 2 is columns 2 and 3 and column 4 is X.

X marks also make a line shorter, and Hint 2 works on the part that is left.

Row 8 (3 2) has X in its first two squares, leaving eight. 3 + 1 + 2 = 6, two spare, so the middle of the 3 (column 5) is painted.
Row 8 (3 2) has X in its first two squares, leaving eight. 3 + 1 + 2 = 6, two spare, so the middle of the 3 (column 5) is painted.

Keep going with Hint 3

7. Column 3: the 5 is stopped by the X in row 3, so it is rows 4 to 8. Row 8: the 3 is columns 3 to 5. Column 4: the 8 is rows 2 to 9.
7. Column 3: the 5 is stopped by the X in row 3, so it is rows 4 to 8. Row 8: the 3 is columns 3 to 5. Column 4: the 8 is rows 2 to 9.
8. Row 9: column 4 is the 1, so column 5 is X. Column 5: the 6 is done, so the 1 goes in row 10. Row 2: the first 4 is columns 1 to 4.
8. Row 9: column 4 is the 1, so column 5 is X. Column 5: the 6 is done, so the 1 goes in row 10. Row 2: the first 4 is columns 1 to 4.

Hint 4: A finished line gets X

Column 1 now has five painted squares in a row, exactly its 5. Every other square in it is X.
Column 1 now has five painted squares in a row, exactly its 5. Every other square in it is X.

When a line has all of its runs painted, everything left in it is empty. It sounds obvious, but it is easy to forget, and those X marks are often what unlock the crossing lines.

The rest: Hints 3 and 4 again

10. Row 7: the 5 is columns 2 to 6 and the 2 covers column 9. Row 10: the 2 is columns 5 and 6. Column 6 and row 2 finish their runs.
10. Row 7: the 5 is columns 2 to 6 and the 2 covers column 9. Row 10: the 2 is columns 5 and 6. Column 6 and row 2 finish their runs.
11. Column 10 has its 5. The rest is X.
11. Column 10 has its 5. The rest is X.
12. In rows 1, 7 and 8 the last 2 can only sit around column 8, so column 8 is painted. That finishes column 8.
12. In rows 1, 7 and 8 the last 2 can only sit around column 8, so column 8 is painted. That finishes column 8.
13. Row 9 and column 7 place their 2, row 8 is finished, and the last square goes in row 1.
13. Row 9 and column 7 place their 2, row 8 is finished, and the last square goes in row 1.
Solved! The finished board turns into a full-color heart.
Solved! The finished board turns into a full-color heart.

Habits for any nonogram

  1. Start with the biggest numbers. Add the numbers and the gaps and compare the total with the line length (Hints 1 and 2).
  2. Mark X as soon as you know a square is empty. X marks shorten lines and open new moves.
  3. After every change, look at the crossing lines. A new square in a row is new information for its column.
  4. When a line is finished, fill the rest with X (Hint 4).
  5. Never guess. If nothing moves, look for a line where pushing the runs left and right gives something (Hint 3).
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