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Nonogram
Nonograms, also known as Paint by Numbers, Picross, Griddlers, Pic-a-Pix, and various other names, are picture logic puzzles in which cells in a grid must be colored or left blank according to numbers at the side of the grid to reveal a hidden picture. In this puzzle type, the numbers are a form of discrete tomography that measures how many unbroken lines of filled-in squares there are in any given row or column. For example, a clue of “4 8 3” would mean there are sets of four, eight, and three filled squares, in that order, with at least one blank square between successive sets.

These puzzles are often black and white—describing a binary image—but they can also be colored. If colored, the number clues are also colored to indicate the color of the squares. Two differently colored numbers may or may not have a space in between them. For example, a black four followed by a red two could mean four black boxes, some empty spaces, and two red boxes, or it could simply mean four black boxes followed immediately by two red ones. Nonograms have no theoretical limits on size, and are not restricted to square layouts.

Nonograms were named after Non Ishida, one of the two inventors of the puzzle.

https://youtu.be/d-I5Ng2oYyM
How to Play Picture Cross (Picross / Nonograms / Griddlers)

Names of Nonogram
Nonograms are also known by many other names, including Paint by Numbers, Griddlers, Pic-a-Pix, Picross, Picma, PrismaPixels, Pixel Puzzles, Crucipixel, Edel, FigurePic, Hanjie, HeroGlyphix, Illust-Logic, Japanese Crosswords, Japanese Puzzles, Kare Karala!, Logic Art, Logic Square, Logicolor, Logik-Puzzles, Logimage, Oekaki Logic, Oekaki-Mate, Paint Logic, Picture Logic, Tsunamii, Paint by Sudoku and Binary Coloring Books.

History
In 1987, Non Ishida, a Japanese graphics editor, won a competition in Tokyo by designing grid pictures using skyscraper lights that were turned on or off. This led her to the idea of a puzzle based around filling in certain squares in a grid. Coincidentally, a professional Japanese puzzler named Tetsuya Nishio invented the same puzzles completely independently, and published them in another magazine.

Software solvers
An extensive comparison and discussion of nonogram solving algorithms is found at the WebPBN site (Web Paint-By-Number).
Some other online and offline solvers include:
⭕ Teal nonogram puzzle and solver
⭕ Nonogram Solver
⭕ Griddlers Solver with Animator
⭕ nonogram-solver (in Ruby)
⭕ nonogram-solver (in Python)
⭕ HTML5 Nonogram Solver (in browser)
⭕ Nonogram solver in C++ solving lines in quadratic time at most.
⭕ JavaScript Nonogram solver
⭕ QR code generator and solver (in Mathematica)
⭕ pynogram solver and animator (in Python)
⭕ nonogrid solver with browser frontend (in Rust)

How do you solve a Nonogram puzzle?
You can complete any line if the clues plus the minimum one dot between each of them equals the length of the line. In this case 2+1+3+1+3 equals the line length. If your clue is larger than half the available space see how far it could reach from either end. You know that the squares that overlap must be solids.

Is every Nonogram solvable?
Yes, most nonograms are line solvable. But that is just because most of them are designed in such a way that a human can solve them. There are also examples of nonograms that are not line solvable, see for Example 4 in the section on symmetry on this page

Discover the mystery of picture cross number puzzles! Solve the nonogram puzzles with simple rules and challenging solutions to uncover the picture! Exercise your logic with a picture cross game and become a real Nonogram master!

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How to solve Japanese crosswords
Solution of colour crosswords is a bit different from solution of black and white ones (as in black and white crosswords you don’t need to take into account the colour of the squares, the rules are a bit simpler) – that’s why so far we will talk only about black and white crosswords.

To solve a Japanese crossword a person should look at each line/column separately, always moving to the next columns and lines. In so doing the process of solving in each line/column comes to the following:
⭕ To define the squares which are sure to be painted (with any possible location of the groups) – so we paint them.
⭕ To define the squares in which it is impossible to have painted squares – such squares are marked with a cross (sometimes a bullet point is used instead of a cross).
⭕ To define the numbers, which location is already identified – usually these numbers are crossed out.

Thus, gradually there are marks in the field which help to identify new marks step by step, then more and more marks until finally the crossword is completely solved (it should be noted that if even only one mark is put incorrectly – it may lead to a deadlock solution).

Challenge yourself and enjoy hours of fun with logic number puzzles!