Black-and-White Nonograms[edit | edit source]

Basic rules[edit | edit source]

  • Numbers on the side (later clues) represent how many squares you need to color in that line.
  • Between those clues there must be at least one empty space.

Techniques:[edit | edit source]

These techniques are explained on a 10x10 grid. A "box" is a square colored black. A "cross" is a square which certainly isn't colored.

I consider all techniques as basic techniques, except for contradictions.

Overlapping

Example 1.

If the sum of the clue (you can measure it with a ruler) plus the largest number is greater than the line, you can use this technique. It's recommended to this when you start the puzzle. Example 1: There is a clue of 8. there are only 3 options this 8 can be positioned. Where they overlap there must be a box. If you've noticed, you can only put the 8 on the left and on the right and see where they overlap. Example 2: Be careful, if you have a clue of 4-3, that you don't put boxes where the 3 and 4 overlap. Only put boxes where the same numbers overlaps.

Example 2.

Simple spaces

You put crosses where the boxes cannot possibly be. Example 3: There is a clue of 3-1 and 2 boxes on the 4th and 9th square of the same row. Then you know that the right box is going to be 1 and the left box is going to be a part of 3. You put crosses on the right and left side of the right box and in between the right box and the right border. Then you look where the 3 can go and put crosses where it can't.

Forcing

When you already have some boxes or crosses in the line you can try to fit (force) the clues in the line. Example 4: You have a clue of 5 in the row and a box on the third square of the same row. That 5 can be either in the left corner or 2 squares to the right or in between that. You can see that they overlap on the fourth and fiftth column. There you put boxes. Example 5: You have a clue of 1-3 in the row and there are crosses in the 6th and 8th column. The clue 3 cannot fit in the right corner because of the 8th cross and it cannot fit in between the 6th and the 8th cross either. So you put crosses in the 7th, 9th and 10th square.

Joining and splitting

It's in the name. Example 6: You have a clue of 5 and you have 2 boxes on the 2nd and 4th square. Both boxes have to be parts of 5, so you put a box in the 3rd square. Example 2: You have a clue of 2-2 in the row and two boxes which are in the 4th and 6th square of that row. If you try to put a box in the 5th column you get 3 boxes in a row, which wouldn't be correct. So the only solution is to put a box in the 3rd and 7th column.

Contradictions

Sometimes it happens that none of the above techniques will help you further. This is more of a guessing technique, so it's better to check every row and column before you start using this, to avoid any mistakes. Here is probably the time when you would use weapons, but if you don't want, this technique will help you. It's probably a good idea to check for correctness and lock the puzzle, because if you find out that the box you put in is wrong you can just discard changes.

You try to put one box ("guess" box) in and try to solve as much as you can with techniques above. Also remember where you have put the box. When you come across a contradiction, you know that the box you first put in (the "guess" box), is suppose to be a cross. If you don't come across any contradiction, that doesn't necessarily mean that it's correct, so it's better to guess boxes that have only 2 options (if there is space for 6 boxes and you have a clue of 5 for example), which means a 50/50 chance to be correct. A special case of this technique is edge solving. This is done on the last row or column of the puzzle. Example: A clue of 4 on the last row. You try to put this 4 in the right side and try to solve with the techniques above. If you come across a contradiction you put a cross in right corner and only there. Then you move one square to the left and do the same thing. You can also go from left to right. If you are lucky enough, you can "guess" where this 4 is. And sometimes you just get some crosses in the corners of the puzzles that might help you in some other way. This technique is more useful if there is a clue of 5 or more on the edge and there is another large number beside it.

You can find more on: https://en.wikipedia.org/wiki/Nonogram.

Colored Nonograms[edit | edit source]

Colored Rules[edit | edit source]

  • The numbers on the side (later clues) represent the order and length in which that line is colored.
  • If the clue contains a color twice in a row there must be an empty space (later cross) between them.

They are usually easier to solve than black-and-white nonograms. Same techniques apply as for black and white nonograms. You can imagen them as multiple nonograms layered onto one each other.


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