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Nonogram

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91:—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. 1093: 1880: 1014: 42: 955: 914: 1574:
Using this technique for all rows and columns at the start of the puzzle produces a good head start into completing it. Note: Some rows/columns won't yield any results initially. For example, a row of 20 cells with a clue of 1 4 2 5 will yield 1 + 1 + 4 + 1 + 2 + 1 + 5 = 15. 20 - 15 = 5. None of the
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Sometimes, there is a box near the border that is not farther from the border than the length of the first clue. In this case, the first clue will spread through that box and will be forced outward from the border. In the simplest case, whenever a box is present in the first or last cells of a row or
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Consequently, the first block of four boxes definitely includes the third and fourth cells, while the second block of three boxes definitely includes the eighth cell. Boxes can therefore be placed in the third, fourth and eighth cells. When determining boxes in this way, boxes can be placed in cells
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consists of a grid, with numbers filling some squares; pairs of numbers must be located correctly and connected with a line filling a total of squares equal to that number. There is only one unique way to link all the squares in a properly-constructed puzzle. When completed, the squares that have
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If there is a box in a row that is in the same distance from the border as the length of the first clue, the first cell will be a space. This is because the first clue would not fit to the left of the box. It will have to spread through that box, leaving the first cell behind. Furthermore, when the
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To solve a puzzle, one needs to determine which cells will be boxes and which will be empty. Solvers often use a dot or a cross to mark cells they are certain are spaces. Cells that can be determined by logic should be filled. If guessing is used, a single error can spread over the entire field and
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Nonograms are also known by many other names, including Hanjie puzzle, Paint by Numbers, Crosspix, 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
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Subtract this number from the total available in the row (usually the width or height of the puzzle). For example, if the clue in step 1 is in a row 15 cells wide, the difference is 15 - 13 = 2. Note: If spaces can be used on the left or right (top or bottom) borders, this "shrinks" the available
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also uses a grid with numbers within. In this format, each number indicates how many of the squares immediately surrounding it, and itself, will be filled. A square marked "9," for example, will have all eight surrounding squares and itself filled. If it is marked "0" those squares are all blank.
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portable system in 2007. It contains several stages of varying difficulty, from 5x5 grids to 25x20 grids. Normal mode tells players if they made an error (with a time penalty) and free mode does not. A hint is available before starting the puzzle in all modes; the game reveals a complete row and
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Many puzzles can be solved by reasoning on a single row or column at a time only, then trying another row or column, and repeating until the puzzle is complete. More difficult puzzles may also require several types of "what if?" reasoning that include more than one row (or column). This works on
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Paint by numbers have been published by Sanoma Uitgevers in the Netherlands, Puzzler Media (formerly British European Associated Publishers) in the UK and Nikui Rosh Puzzles in Israel. Magazines with nonogram puzzles are published in the US, UK, Germany, Netherlands, Italy, Hungary, Finland, the
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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
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was initially released in Japan on March 14, 1995 to decent success. However, the game failed to become a hit in the U.S. market, despite a heavy advertising campaign by Nintendo. The game is of an escalating difficulty, with successive puzzle levels containing larger puzzles. Each puzzle has a
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From the right: Starting from the right, the clues that are to the right of the 6 clue must be accounted for. Starting from cell 15, count 3 cells for the 3 clue (to cell 13), then a space (12), then the 2 clue (10), then a space (9), then the 6 clue (3). From the 3rd cell, "backfill" 4 blocks,
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For each clue in step 3, subtract the number in step 2 to determine the number of blocks that can be filled in. For example, the 6 clue will have (6 - 2 =) 4 blocks filled in and the 3 clue will have (3 - 2 =) 1. Note: Applying the same procedure to a clue that "failed" step 3 will produce a
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in the role. These rounds vary by removing the hint function, and mistakes are not penalized—at the price that mistakes are not even revealed. These rounds can only be cleared when all correct boxes are marked, with no mistakes. The time limit was also removed. Nintendo also released eight
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completely ruin the solution. An error sometimes comes to the surface only after a while, when it is very difficult to correct the puzzle. The hidden picture may help locate and eliminate an error, but otherwise it plays little part in the solving process, as it may mislead.
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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.
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To fill in the blocks, assume the blocks are all pushed to one side, count from that side "through" the blocks, and backfill the appropriate number of blocks. This can be done from either direction. For example, the 6 clue can be done either of two ways as follows:
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It is possible to get a start to a puzzle using a mathematical technique to fill in blocks for rows/columns independent of other rows/columns. This is a good "first step" and is a mathematical shortcut to techniques described above. The process is as follows:
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clues are greater than 5. Also, this technique can be used on a smaller scale. If there are available spaces in the center or either side, even if certain clues are already discovered, this method can be used with the remaining clues and available spaces.
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In this method, the significance of the spaces will be shown. A space placed somewhere in the middle of an uncompleted row may force a large block to one side or the other. Also, a gap that is too small for any possible block may be filled with spaces.
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column at random. Additional puzzles were available through Nintendo Wi-Fi Connection; some of the original Mario Picross puzzles were available. However, the service was shut down on 20 May 2014. Nintendo made new releases available bi-weekly.
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Some puzzles may require to go deeper with searching for the contradictions. This is, however, not possible simply by a pen and pencil, because of the many possibilities that must be searched. This method is practical for a computer to use.
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At the beginning of the solution, a simple method can be used to determine as many boxes as possible. This method uses conjunctions of possible places for each block of boxes. For example, in a row of ten cells with only one clue of
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number of squares in each row or column that will be filled in and irregular sections within the grid have borders around them that indicate that, if one of the squares within it is filled in, all of them must be filled in.
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This method consists of determining spaces by searching for cells that are out of range of any possible blocks of boxes. For example, considering a row of ten cells with boxes in the fourth and ninth cell and with clues of
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The problem of this method is that there is no quick way to tell which empty cell to try first. Usually only a few cells lead to any progress, and the other cells lead to dead ends. Most worthy cells to start with may be:
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uses a maze in a standard grid. When the single correct route from beginning to end is located, each 'square' of the solution is filled in (alternatively, all non-solution squares are filled in) to create the picture.
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In some cases, reasoning over a set of rows may also lead to the next step of the solution even without contradictions and deeper recursion. However, finding such sets is usually as difficult as finding contradictions.
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However, certain classes of puzzles, such as those in which each row or column has only one block of cells and all cells are connected, may be solved in polynomial time by transforming the problem into an instance of
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can only spread somewhere between the second cell and the sixth cell, because it always has to include the fourth cell; however, this may leave cells that may not be boxes in any case, i.e. the first and the seventh.
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to a block of three boxes in the fourth row. However, that is wrong because the third column does not allow any boxes there, which leads to a conclusion that the tried cell must not be a box, so it must be a space.
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From the left: Since the 6 is the first number, count 6 blocks from the left edge, ending in the 6th block. Now "backfill" 4 blocks (the number obtained in step 4), so that cells 3 through 6 are filled.
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In the illustration, row 1 shows the cells that are filled under this procedure, rows 2 and 4 show how the blocks are pushed to one side in step 5, and rows 3 and 5 show the cells backfilled in step 5.
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was released by Deniam Corp in 1996, with a sequel released the following year. UK games developer Jagex released a nonogram puzzle in 2011 as part of their annual Halloween event for their
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non-positive number, indicating that no blocks will be filled in for this clue. The clue 2 produces the number (2 - 2 =) 0; if there were a 1 clue, it would produce the number (1 - 2 =) -1.
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Boxes closer to each other may be sometimes joined together into one block or split by a space into several blocks. When there are two blocks with an empty cell between, this cell will be:
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In 1988, Non Ishida published three picture grid puzzles in Japan under the name of "Window Art Puzzles". In 1990, James Dalgety in the UK invented the name Nonograms after Non Ishida, and
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will always span from the third to the fifth cell (but not necessarily to the second or the sixth). It is therefore possible to mark the third, fourth and fifth cell as belonging to the
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limited amount of time to be cleared. Hints (line clears) may be requested at a time penalty, and mistakes made earn time penalties as well (the amount increasing for each mistake).
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on July 30, 2007 and has been received well by critics, including Craig Harris, Jessica Wadleigh and Dave McCarthy labelling the game "Addictive". A 3D version of the game, titled
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Note: In this example all blocks are accounted for; this is not always the case. The player must be careful for there may be clues or blocks that are not bound to each other yet.
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overlaps; in this example, there is overlap in the sixth cell, but it is from different blocks, and so it cannot yet be said whether or not the sixth cell will contain a box.
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Increased popularity in Japan launched new publishers and by now there were several monthly magazines, some of which contained up to 100 puzzles. The Japanese arcade game
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Square, Logicolor, Logik-Puzzles, Logimage, Oekaki Logic, Paint Logic, Picture Logic, Tsunamii, Paint by Sudoku, Picture-forming logic puzzles, and Binary Coloring Books.
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in which cells in a grid must be colored or left blank according to numbers at the edges of the grid to reveal a hidden picture. In this puzzle, the numbers are a form of
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Tetsuya Nishio invented the same puzzles independently, and published them in another magazine. At this time, nonograms were also called picture-forming logic puzzles.
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ran a competition in 1998 to choose a new name for their puzzles. Griddlers was the winning name that readers chose. 1993, Ishida published the "Book of Nonograms".
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lines are filled; the contrast with the blank squares reveals the picture. (As above, colored versions exist that involving matching numbers of the same color.)
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box is actually a block of more boxes to the right, there will be more spaces at the beginning of the row, determined by using this method several times.
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To solve the puzzle, it is usually also very important to enclose each bound or completed block of boxes immediately by separating spaces as described in
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An extensive comparison and discussion of nonogram solving algorithms is found at the WebPBN site (Web Paint-By-Number). A nonogram solver written in
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Any clues that are greater than the number in step 2 will have some blocks filled in. In the example, this applies to the clues 6 and 3, but not 2.
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Example of a nonogram puzzle being solved using crosses to mark logically-confirmed spaces. Some of the steps of the process are grouped together.
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Add the clues together, plus 1 for each "space" in between. For example, if the clue is 6 2 3, this step produces the sum 6 + 1 + 2 + 1 + 3 = 13.
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For example, considering a row of fifteen cells with boxes in the third, fourth, sixth, seventh, eleventh and thirteenth cell and with clues of
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has been presented as a worthy heir to Picross on PC by Rock, Paper, Shotgun. In particular, the game enables players to share their creations.
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will join the first two blocks by a box into one large block, because a space would produce a block of only 4 boxes that is not enough there.
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published a dedicated puzzle book titled the "Book of Nonograms". Nonograms were also published in Sweden, the United States (originally by
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searching for contradictions, e.g., when a cell cannot be a box because some other cell would produce an error, it must be a space.
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Paint by numbers puzzles were implemented by 1995 on hand held electronic toys such as Game Boy and on other plastic puzzle toys.
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will split the last two blocks by a space, because a box would produce a block of 3 continuous boxes, which is not allowed there.
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Some more difficult puzzles may also require advanced reasoning. When all simple methods above are exhausted, searching for
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Salcedo-Sanz, Sancho; Ortiz-Garcia, Emilio G.; Perez-Bellido, Angel M.; Portilla-Figueras, Antonio; Yao, Xin (April 2007).
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A box if splitting the two blocks by a space would produce a too small block that does not have enough free cells remaining
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started publishing them on a weekly basis. By 1993, the first book of nonograms was published by Non Ishida in Japan. The
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is another type of picture logic puzzle by Nikoli. It works like regular nonograms except that it only specifies the
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In this example a box is tried in the first row, which leads to a space at the beginning of that row. The space then
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for the Game Boy, was released outside Japan. Since then, one of the most prolific Picross game developers has been
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If an error is found, the tried cell will not be a box for sure. It will be a space (or a box, if space was tried).
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clue may also be preceded by some other clues, if all the clues are already bound to the left of the forcing space.
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may help. It is wise to use a pencil (or other color) for that to facilitate corrections. The procedure includes:
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Chrobak, Marek; Dürr, Christoph (1999), "Reconstructing hv-convex polyominoes from orthogonal projections",
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in 2015. Another downloadable version of the game was released for Nintendo 3DS's Nintendo eShop, called
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For example, considering a row of ten cells with spaces in the fifth and seventh cells and with clues of
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The same applies when there are more clues in the row. For example, in a row of ten cells with clues of
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Kuba, Attila; Balogh, Emese (2002), "Reconstruction of convex 2D discrete sets in polynomial time",
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series for the Nintendo 3DS eShop (along with 5 character-specific titles, including ones featuring
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filling cells 3 through 6. The results are the same as doing it from the left in the step above.
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area. If it is known that the rightmost cell is a space, the difference is 14 - 13 = 1.
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Note: This method may also work in the middle of a row, farther away from the borders.
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was released for Nintendo 3DS on March 31, 2016, exclusively as a premium reward for
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Batenburg, K.J; Kosters, W.A. (2009). "Solving Nonograms by combining relaxations".
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Hoogeboom, Hendrik Jan; Kosters, Walter; van Rijn, Jan N.; Vis, Jonathan K. (2014).
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A space may act as a border, if the first clue is forced to the right of that space.
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shapes must be placed in the grid, without touching each other (even diagonally).
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column, the first or last clue must be aligned to the edge of that row or column.
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crowded to the right, one just next to the other, leaving two spaces to the left;
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series for the Nintendo Switch (along with two character-specific ones featuring
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Considering a row of ten cells with a box in the third cell and with a clue of
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Nonograms were named after Non Ishida, one of the two inventors of the puzzle.
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Playing Games: The complexity of Klondike, Mahjong, Nonograms and Animal Chess
30:"Picross" redirects here. For the video game series developed by Jupiter, see 2853: 1830:
Other companies have also released nonogram video games, such as Falcross on
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for the Super Famicom, neither of which were translated for the U.S. market (
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crowded to the left, one next to the other, leaving two spaces to the right;
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A space if joining the two blocks by a box would produce a too large block
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the empty gap on the sixth cell is too small to accommodate clues like
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is complete and there will be a space at each side of the bound block.
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cells that are close to the borders or close to the blocks of spaces;
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Czech Republic, Slovakia, Russia, Ukraine, and many other countries.
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would be forced to the left, because it could not fit anywhere else.
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with the theme of restoring an art gallery. Released early in 2017,
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has published several nonogram video games using the name "Picross"
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respectively, and another featuring intellectual properties from
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NP-completeness results for NONOGRAM via Parsimonious Reductions
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cells that are within rows that consist of more non-empty cells.
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Note: The examples above did not do that only to remain simple.
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are an offshoot that uses triangle shapes instead of squares.
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and released two "Picross" (picture crossword) titles for the
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This article is about the puzzle. For the star polygon, see
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My Nintendo Picross: The Legend of Zelda: Twilight Princess
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2007 IEEE Symposium on Computational Intelligence and Games
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Using all available methods to solve as much as possible.
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are further completed. This is, however, not part of the
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will spread through the ninth cell according to method
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The illustration picture also shows how the clues of
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These puzzles are often black and white—describing a
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spread through the six centermost cells in the row.
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Trying an empty cell to be a box (or then a space).
1425:method. Precise punctuating usually leads to more 2278:"An algorithm reconstructing convex lattice sets" 2137:"Wot I Think: Fantastic picross puzzler Pictopix" 1566:Repeat step 5 for all clues identified in step 3. 1132:the left border, leaving two spaces to the right; 1129:the right border, leaving two spaces to the left; 2851: 2586:"Falcross - Picross puzzles for iPhone and iPad" 2398: 45:A completed nonogram of the letter "W" from the 1806:spinoff on December 7, 2015 in the form of the 1802:released in 2014. Nintendo has also released a 1666: 2562: 2275: 1869: 1660: 2632: 1201:will spread through the fourth cell and clue 185:on the Nintendo DS in 2007, 8 titles in the 2309: 2134: 1429:and may be vital for finishing the puzzle. 1042:. Unsourced material may be challenged and 942:Learn how and when to remove these messages 2639: 2625: 2386:"Survey of Paint-by-Number Puzzle Solvers" 2354: 2177:: CS1 maint: location missing publisher ( 2058:"Solving Japanese Puzzles with Heuristics" 1451:pulls back from the sides of a container. 2420: 2368: 2323: 2238: 2163: 2153: 1920:Learn how and when to remove this message 1596: 1512:cells that have many non-empty neighbors; 1080:Learn how and when to remove this message 1062:Learn how and when to remove this message 137:), South Africa and other countries. The 2550: 2513: 2191: 2107:Games Magazine Presents Paint by Numbers 1612:that solves all nonogram puzzles unless 1522: 1344: 1091: 40: 16:Logic puzzle forming a picture in a grid 2154:Ueda, Nobuhisa; Nagao, Tadaaki (1996), 1447:technique. Its name comes from the way 966:instructions, advice, or how-to content 2852: 2538: 2463: 2383: 2276:Brunetti, Sara; Daurat, Alain (2003), 1834:, Across-Stitch by Knitwit Studios on 1820:The Legend of Zelda: Twilight Princess 1605:problem. This means that there is no 903: 2620: 2568:"Picross 3D Finally Getting a Sequel" 1154:, the bound blocks of boxes could be 594: 280: 169:series) in Japan. Only one of these, 144: 2488: 2221:"Acyclic Constraint Logic and Games" 2051: 2049: 2047: 2045: 2019: 2017: 2015: 2013: 2011: 2009: 2007: 2005: 1902:adding citations to reliable sources 1873: 1694:was, however, later released on the 1684:was released later for Game Boy and 1040:adding citations to reliable sources 1007: 948: 907: 2023: 1627: 1578: 975:so that it is more encyclopedic or 115: 13: 1530: 1453: 1374: 1324: 1299: 1241: 1207: 1156: 1120: 23:. For the calculating device, see 14: 2886: 2384:Wolter, Jan (25 September 2013). 2042: 2002: 1935:is a variant in which the twelve 1499:a box in the first column, which 1465: 923:This section has multiple issues. 203:characters), and 9 titles in the 1878: 1587: 1488: 1183: 1012: 953: 912: 2592: 2578: 2556: 2543: 2532: 2507: 2482: 2457: 2437: 2392: 2135:John Walker (12 January 2017). 1889:needs additional citations for 1601:Solving nonogram puzzles is an 1108: 931:or discuss these issues on the 2600:"Triddlers rules and examples" 2377: 2312:Information Processing Letters 2269: 2212: 2185: 2147: 2128: 2098: 1649: 1416: 1276:and may be filled with spaces. 1197:, the block bound to the clue 1: 2514:McCarthy, Dave (2007-04-09). 2370:10.1016/S0304-3975(01)00080-9 2342:10.1016/S0020-0190(99)00025-3 2297:10.1016/S0304-3975(03)00050-1 1996: 1636:and published in the journal 2464:Harris, Craig (2007-07-31). 2431:10.1016/j.patcog.2008.12.003 2357:Theoretical Computer Science 2285:Theoretical Computer Science 1722:peripheral in Japan, called 588: 274: 7: 2646: 1984: 1870:Other picture logic puzzles 1667: 1413:technique described above. 1205:will be at the ninth cell. 10: 2891: 1933:Pentomino paint-by-numbers 1766:on 11 May 2007 and in the 1435: 1233: 266: 106: 29: 18: 2822: 2793: 2768: 2761: 2739: 2714: 2689: 2682: 2654: 2192:van Rijn, Jan N. (2012), 1661: 153:picked up on this puzzle 1718:volumes on the Japanese 1135:or somewhere in between. 257: 97: 2074:10.1109/CIG.2007.368102 1860:Pixel Puzzle Collection 1798:released in 2013, with 1782:, was released for the 1291: 1139:As a result, the block 2838:O-Chan no Oekaki Logic 2249:10.3233/ICG-2014-37102 1854:'s fifth installment, 1743:Nintendo has released 1597:Nonograms in computing 1535: 1458: 1379: 1329: 1304: 1246: 1212: 1161: 1125: 1097: 49: 2784:Mario's Super Picross 1852:Deadly Rooms of Death 1692:Mario's Super Picross 1687:Mario's Super Picross 1534: 1523:Mathematical approach 1457: 1443:is a special case of 1407:Joining and splitting 1378: 1345:Joining and splitting 1328: 1303: 1279:finally, the clue of 1245: 1211: 1171:or somewhere between. 1160: 1124: 1095: 44: 2875:NP-complete problems 2453:. 15 September 2020. 2141:Rock, Paper, Shotgun 2068:. pp. 224–231. 1898:improve this article 1818:My Nintendo Picross 1673:. The Game Boy game 1036:improve this section 123:The Sunday Telegraph 2730:Picross 3D: Round 2 2659:Jupiter Corporation 2489:Wadleigh, Jessica. 2466:"Picross DS Review" 2413:2009PatRe..42.1672B 2401:Pattern Recognition 2334:1999cs........6021D 1991:Battleship (puzzle) 1779:Picross 3D: Round 2 1734:The Legend of Zelda 1709:as well, featuring 1639:Pattern Recognition 1409:technique, but the 973:rewrite the content 904:Solution techniques 591: 277: 177:Jupiter Corporation 81:discrete tomography 2566:(19 August 2015). 1816:for Nintendo 3DS. 1536: 1459: 1380: 1330: 1305: 1247: 1213: 1162: 1126: 1098: 589: 275: 145:Electronic puzzles 50: 2847: 2846: 2818: 2817: 2757: 2756: 2083:978-1-4244-0709-5 1930: 1929: 1922: 1844:Microsoft Windows 1836:Microsoft Windows 1222:Second, the clue 1090: 1089: 1082: 1072: 1071: 1064: 1006: 1005: 946: 901: 900: 897: 896: 583: 582: 238:role-playing game 161:and nine for the 2882: 2865:Digital geometry 2766: 2765: 2687: 2686: 2641: 2634: 2627: 2618: 2617: 2612: 2611: 2609: 2607: 2596: 2590: 2589: 2582: 2576: 2575: 2560: 2554: 2547: 2541: 2536: 2530: 2529: 2527: 2526: 2511: 2505: 2504: 2502: 2501: 2486: 2480: 2479: 2477: 2476: 2461: 2455: 2454: 2441: 2435: 2434: 2424: 2407:(8): 1672–1683. 2396: 2390: 2389: 2381: 2375: 2373: 2372: 2352: 2327: 2307: 2282: 2273: 2267: 2266: 2264: 2263: 2242: 2216: 2210: 2208: 2207: 2206: 2200: 2189: 2183: 2182: 2176: 2168: 2167: 2151: 2145: 2144: 2132: 2126: 2125: 2102: 2096: 2095: 2053: 2040: 2039: 2037: 2036: 2024:Dalgety, James. 2021: 1925: 1918: 1914: 1911: 1905: 1882: 1874: 1758:was released in 1672: 1670: 1664: 1663: 1642:solves lines in 1628:Software solvers 1622:2-satisfiability 1579:Deeper recursion 1492: 1215:First, the clue 1085: 1078: 1067: 1060: 1056: 1053: 1047: 1016: 1008: 1001: 998: 992: 957: 956: 949: 938: 916: 915: 908: 592: 590:solved Nonogram 278: 271: 270: 139:Sunday Telegraph 128:Sunday Telegraph 116:Print publishing 61:Paint by Numbers 55:, also known as 2890: 2889: 2885: 2884: 2883: 2881: 2880: 2879: 2850: 2849: 2848: 2843: 2814: 2809:Pokémon Picross 2789: 2777:Mario's Picross 2753: 2735: 2710: 2678: 2650: 2645: 2615: 2605: 2603: 2602:. Griddlers.net 2598: 2597: 2593: 2584: 2583: 2579: 2561: 2557: 2548: 2544: 2537: 2533: 2524: 2522: 2512: 2508: 2499: 2497: 2487: 2483: 2474: 2472: 2462: 2458: 2443: 2442: 2438: 2397: 2393: 2382: 2378: 2280: 2274: 2270: 2261: 2259: 2217: 2213: 2204: 2202: 2198: 2190: 2186: 2170: 2169: 2152: 2148: 2133: 2129: 2122: 2104: 2103: 2099: 2084: 2054: 2043: 2034: 2032: 2022: 2003: 1999: 1987: 1926: 1915: 1909: 1906: 1895: 1883: 1872: 1813:Pokémon Picross 1711:Mario's nemesis 1707:Wario's Picross 1703:Hanabi Festival 1699:Virtual Console 1676:Mario's Picross 1658: 1652: 1630: 1607:polynomial time 1599: 1590: 1581: 1525: 1468: 1438: 1419: 1347: 1294: 1236: 1186: 1111: 1086: 1075: 1074: 1073: 1068: 1057: 1051: 1048: 1033: 1017: 1002: 996: 993: 970: 958: 954: 917: 913: 906: 276:empty Nonogram 269: 260: 179:, who released 172:Mario's Picross 147: 118: 109: 100: 39: 28: 17: 12: 11: 5: 2888: 2878: 2877: 2872: 2867: 2862: 2845: 2844: 2842: 2841: 2834: 2826: 2824: 2820: 2819: 2816: 2815: 2813: 2812: 2805: 2797: 2795: 2791: 2790: 2788: 2787: 2780: 2772: 2770: 2763: 2759: 2758: 2755: 2754: 2752: 2751: 2743: 2741: 2737: 2736: 2734: 2733: 2726: 2718: 2716: 2712: 2711: 2709: 2708: 2701: 2693: 2691: 2690:Picross series 2684: 2680: 2679: 2677: 2676: 2671: 2669:HAL Laboratory 2666: 2661: 2655: 2652: 2651: 2644: 2643: 2636: 2629: 2621: 2614: 2613: 2591: 2577: 2564:Jason Schreier 2555: 2542: 2531: 2506: 2481: 2456: 2436: 2391: 2376: 2363:(1): 223–242, 2318:(6): 283–289, 2291:(1–3): 35–57, 2268: 2211: 2184: 2165:10.1.1.57.5277 2146: 2127: 2120: 2097: 2082: 2041: 2000: 1998: 1995: 1994: 1993: 1986: 1983: 1949:Paint by pairs 1928: 1927: 1886: 1884: 1877: 1871: 1868: 1864:Picross Puzzle 1856:The Second Sky 1720:Nintendo Power 1651: 1648: 1644:quadratic time 1629: 1626: 1598: 1595: 1589: 1586: 1580: 1577: 1568: 1567: 1564: 1563: 1562: 1558: 1551: 1547: 1544: 1540: 1524: 1521: 1520: 1519: 1516: 1513: 1486: 1485: 1482: 1479: 1472:contradictions 1467: 1466:Contradictions 1464: 1437: 1434: 1418: 1415: 1396: 1395: 1388: 1358: 1357: 1354: 1346: 1343: 1342: 1341: 1334: 1311:, the clue of 1293: 1290: 1289: 1288: 1277: 1266: 1235: 1232: 1185: 1182: 1176:only when the 1173: 1172: 1169: 1166: 1137: 1136: 1133: 1130: 1110: 1107: 1088: 1087: 1070: 1069: 1020: 1018: 1011: 1004: 1003: 961: 959: 952: 947: 921: 920: 918: 911: 905: 902: 899: 898: 895: 894: 892: 890: 888: 886: 884: 882: 880: 878: 875: 872: 871: 869: 867: 865: 863: 861: 859: 857: 855: 852: 849: 848: 846: 844: 842: 840: 838: 836: 834: 832: 829: 826: 825: 823: 821: 819: 817: 815: 813: 811: 809: 806: 803: 802: 800: 798: 796: 794: 792: 790: 788: 786: 783: 780: 779: 777: 775: 773: 771: 769: 767: 765: 763: 760: 757: 756: 754: 752: 750: 748: 746: 744: 742: 740: 737: 733: 732: 730: 728: 726: 724: 722: 720: 718: 716: 713: 709: 708: 706: 704: 702: 700: 698: 696: 694: 692: 689: 686: 685: 683: 681: 679: 677: 675: 673: 671: 669: 666: 663: 662: 660: 658: 656: 654: 652: 650: 648: 646: 643: 640: 639: 636: 633: 630: 627: 624: 621: 618: 614: 613: 611: 609: 607: 604: 601: 599: 597: 595: 586: 584: 581: 580: 578: 576: 574: 572: 570: 568: 566: 564: 561: 558: 557: 555: 553: 551: 549: 547: 545: 543: 541: 538: 535: 534: 532: 530: 528: 526: 524: 522: 520: 518: 515: 512: 511: 509: 507: 505: 503: 501: 499: 497: 495: 492: 489: 488: 486: 484: 482: 480: 478: 476: 474: 472: 469: 466: 465: 463: 461: 459: 457: 455: 453: 451: 449: 446: 443: 442: 440: 438: 436: 434: 432: 430: 428: 426: 423: 419: 418: 416: 414: 412: 410: 408: 406: 404: 402: 399: 395: 394: 392: 390: 388: 386: 384: 382: 380: 378: 375: 372: 371: 369: 367: 365: 363: 361: 359: 357: 355: 352: 349: 348: 346: 344: 342: 340: 338: 336: 334: 332: 329: 326: 325: 322: 319: 316: 313: 310: 307: 304: 300: 299: 297: 295: 293: 290: 287: 285: 283: 281: 268: 265: 259: 256: 211:Kemono Friends 146: 143: 117: 114: 108: 105: 99: 96: 75:, are picture 47:Knowledge logo 15: 9: 6: 4: 3: 2: 2887: 2876: 2873: 2871: 2870:Logic puzzles 2868: 2866: 2863: 2861: 2858: 2857: 2855: 2840: 2839: 2835: 2833: 2832: 2828: 2827: 2825: 2821: 2811: 2810: 2806: 2804: 2803: 2799: 2798: 2796: 2792: 2786: 2785: 2781: 2779: 2778: 2774: 2773: 2771: 2767: 2764: 2760: 2750: 2749: 2745: 2744: 2742: 2738: 2732: 2731: 2727: 2725: 2724: 2720: 2719: 2717: 2713: 2707: 2706: 2702: 2700: 2699: 2695: 2694: 2692: 2688: 2685: 2681: 2675: 2672: 2670: 2667: 2665: 2662: 2660: 2657: 2656: 2653: 2649: 2642: 2637: 2635: 2630: 2628: 2623: 2622: 2619: 2601: 2595: 2587: 2581: 2573: 2569: 2565: 2559: 2552: 2551:McCarthy 2007 2546: 2540: 2535: 2521: 2517: 2510: 2496: 2492: 2485: 2471: 2467: 2460: 2452: 2451: 2446: 2440: 2432: 2428: 2423: 2422:10.1.1.177.76 2418: 2414: 2410: 2406: 2402: 2395: 2387: 2380: 2371: 2366: 2362: 2358: 2351: 2347: 2343: 2339: 2335: 2331: 2326: 2321: 2317: 2313: 2306: 2302: 2298: 2294: 2290: 2286: 2279: 2272: 2258: 2254: 2250: 2246: 2241: 2236: 2232: 2228: 2227: 2222: 2215: 2197: 2196: 2188: 2180: 2174: 2166: 2161: 2157: 2150: 2142: 2138: 2131: 2123: 2121:0-8129-2384-7 2117: 2113: 2109: 2108: 2101: 2093: 2089: 2085: 2079: 2075: 2071: 2067: 2063: 2059: 2052: 2050: 2048: 2046: 2031: 2030:Puzzle Museum 2027: 2020: 2018: 2016: 2014: 2012: 2010: 2008: 2006: 2001: 1992: 1989: 1988: 1982: 1979: 1975: 1971: 1968: 1964: 1961: 1957: 1954: 1950: 1946: 1944: 1940: 1938: 1934: 1924: 1921: 1913: 1903: 1899: 1893: 1892: 1887:This section 1885: 1881: 1876: 1875: 1867: 1865: 1861: 1857: 1853: 1849: 1845: 1841: 1837: 1833: 1828: 1826: 1822: 1821: 1815: 1814: 1809: 1805: 1801: 1797: 1793: 1789: 1785: 1781: 1780: 1775: 1774: 1769: 1768:United States 1765: 1761: 1757: 1752: 1748: 1747: 1741: 1739: 1735: 1731: 1727: 1726: 1721: 1717: 1712: 1708: 1704: 1700: 1697: 1693: 1689: 1688: 1683: 1678: 1677: 1669: 1656: 1647: 1645: 1641: 1640: 1635: 1625: 1623: 1617: 1615: 1611: 1608: 1604: 1594: 1588:Multiple rows 1585: 1576: 1572: 1565: 1559: 1556: 1555: 1552: 1548: 1545: 1541: 1538: 1537: 1533: 1529: 1517: 1514: 1511: 1510: 1509: 1505: 1502: 1498: 1493: 1491: 1483: 1480: 1477: 1476: 1475: 1473: 1463: 1456: 1452: 1450: 1446: 1445:Simple spaces 1442: 1433: 1432: 1428: 1424: 1423:Simple spaces 1414: 1412: 1408: 1404: 1400: 1393: 1390:The clues of 1389: 1386: 1382: 1381: 1377: 1373: 1371: 1367: 1363: 1355: 1352: 1351: 1350: 1339: 1335: 1332: 1331: 1327: 1323: 1320: 1318: 1314: 1310: 1302: 1298: 1286: 1282: 1278: 1275: 1271: 1267: 1264: 1260: 1259: 1258: 1256: 1252: 1244: 1240: 1231: 1228: 1225: 1220: 1218: 1210: 1206: 1204: 1200: 1196: 1192: 1184:Simple spaces 1181: 1179: 1170: 1167: 1164: 1163: 1159: 1155: 1153: 1149: 1144: 1142: 1134: 1131: 1128: 1127: 1123: 1119: 1117: 1106: 1102: 1094: 1084: 1081: 1066: 1063: 1055: 1045: 1041: 1037: 1031: 1030: 1026: 1021:This section 1019: 1015: 1010: 1009: 1000: 990: 986: 982: 978: 974: 968: 967: 962:This section 960: 951: 950: 945: 943: 936: 935: 930: 929: 924: 919: 910: 909: 893: 891: 889: 887: 885: 883: 881: 879: 876: 874: 873: 870: 868: 866: 864: 862: 860: 858: 856: 853: 851: 850: 847: 845: 843: 841: 839: 837: 835: 833: 830: 828: 827: 824: 822: 820: 818: 816: 814: 812: 810: 807: 805: 804: 801: 799: 797: 795: 793: 791: 789: 787: 784: 782: 781: 778: 776: 774: 772: 770: 768: 766: 764: 761: 759: 758: 755: 753: 751: 749: 747: 745: 743: 741: 738: 735: 734: 731: 729: 727: 725: 723: 721: 719: 717: 714: 711: 710: 707: 705: 703: 701: 699: 697: 695: 693: 690: 688: 687: 684: 682: 680: 678: 676: 674: 672: 670: 667: 665: 664: 661: 659: 657: 655: 653: 651: 649: 647: 644: 642: 641: 637: 634: 631: 628: 625: 622: 619: 616: 615: 612: 610: 608: 605: 602: 600: 598: 596: 593: 587: 585: 579: 577: 575: 573: 571: 569: 567: 565: 562: 560: 559: 556: 554: 552: 550: 548: 546: 544: 542: 539: 537: 536: 533: 531: 529: 527: 525: 523: 521: 519: 516: 514: 513: 510: 508: 506: 504: 502: 500: 498: 496: 493: 491: 490: 487: 485: 483: 481: 479: 477: 475: 473: 470: 468: 467: 464: 462: 460: 458: 456: 454: 452: 450: 447: 445: 444: 441: 439: 437: 435: 433: 431: 429: 427: 424: 421: 420: 417: 415: 413: 411: 409: 407: 405: 403: 400: 397: 396: 393: 391: 389: 387: 385: 383: 381: 379: 376: 374: 373: 370: 368: 366: 364: 362: 360: 358: 356: 353: 351: 350: 347: 345: 343: 341: 339: 337: 335: 333: 330: 328: 327: 323: 320: 317: 314: 311: 308: 305: 302: 301: 298: 296: 294: 291: 288: 286: 284: 282: 279: 273: 272: 264: 255: 253: 249: 248:Paint it Back 245: 244: 239: 235: 230: 228: 224: 223:Master System 220: 216: 212: 208: 207: 202: 198: 194: 190: 189: 184: 183: 178: 174: 173: 168: 164: 163:Super Famicom 160: 156: 152: 142: 140: 136: 134: 129: 125: 124: 113: 104: 95: 92: 90: 85: 82: 78: 77:logic puzzles 74: 70: 66: 62: 58: 54: 48: 43: 37: 33: 26: 22: 2836: 2831:Colour Cross 2829: 2807: 2800: 2782: 2775: 2746: 2728: 2721: 2703: 2696: 2647: 2604:. Retrieved 2594: 2580: 2571: 2558: 2545: 2534: 2523:. Retrieved 2519: 2516:"Picross DS" 2509: 2498:. Retrieved 2494: 2491:"Picross DS" 2484: 2473:. Retrieved 2469: 2459: 2448: 2439: 2404: 2400: 2394: 2379: 2360: 2356: 2315: 2311: 2288: 2284: 2271: 2260:. Retrieved 2230: 2226:ICGA Journal 2224: 2214: 2203:, retrieved 2194: 2187: 2155: 2149: 2140: 2130: 2112:Random House 2106: 2100: 2061: 2033:. Retrieved 2029: 1977: 1973: 1972: 1966: 1965: 1959: 1958: 1952: 1948: 1947: 1942: 1941: 1932: 1931: 1916: 1910:January 2018 1907: 1896:Please help 1891:verification 1888: 1863: 1859: 1855: 1829: 1817: 1811: 1799: 1795: 1791: 1787: 1784:Nintendo 3DS 1777: 1771: 1755: 1744: 1742: 1723: 1715: 1706: 1691: 1685: 1681: 1674: 1653: 1637: 1631: 1618: 1600: 1591: 1582: 1573: 1569: 1526: 1506: 1500: 1496: 1494: 1487: 1469: 1460: 1444: 1440: 1439: 1430: 1426: 1422: 1420: 1410: 1406: 1402: 1398: 1397: 1391: 1384: 1383:The clue of 1369: 1365: 1361: 1359: 1348: 1337: 1321: 1316: 1312: 1308: 1306: 1295: 1285:Simple Boxes 1284: 1280: 1273: 1269: 1262: 1261:the clue of 1254: 1250: 1248: 1237: 1229: 1223: 1221: 1216: 1214: 1202: 1198: 1194: 1190: 1187: 1177: 1174: 1151: 1147: 1145: 1140: 1138: 1115: 1112: 1109:Simple boxes 1103: 1099: 1076: 1058: 1052:January 2018 1049: 1034:Please help 1022: 997:January 2014 994: 971:Please help 963: 939: 932: 926: 925:Please help 922: 261: 251: 247: 241: 233: 231: 204: 186: 180: 170: 166: 148: 138: 132: 127: 121: 119: 110: 101: 93: 89:binary image 86: 72: 68: 64: 60: 56: 52: 51: 2539:Harris 2007 2495:Thunderbolt 2233:(1): 3–16. 1840:Apple macOS 1825:My Nintendo 1751:Nintendo DS 1650:Video games 1603:NP-complete 1417:Punctuating 981:Wikiversity 2854:Categories 2748:Picross DS 2723:Picross 3D 2525:2013-12-18 2500:2013-12-18 2475:2013-12-18 2325:cs/9906021 2262:2019-02-24 2240:1604.05487 2205:2012-06-29 2035:2018-01-08 1997:References 1974:Tile Paint 1967:Maze-a-Pix 1960:Fill-a-Pix 1953:Link-a-Pix 1800:Picross e4 1796:Picross e3 1792:Picross e2 1773:Picross 3D 1756:Picross DS 1746:Picross DS 1725:NP Picross 1178:same block 989:Wikivoyage 928:improve it 182:Picross DS 2860:Nonograms 2705:Picross S 2698:Picross e 2606:1 January 2572:Kotaku UK 2520:Eurogamer 2417:CiteSeerX 2160:CiteSeerX 1943:Triddlers 1937:pentomino 1788:Picross e 1764:Australia 1682:Picross 2 1646:at most. 1610:algorithm 1023:does not 985:Wikibooks 964:contains 934:talk page 243:Runescape 234:Logic Pro 206:Picross S 188:Picross e 73:Pic-a-Pix 69:Griddlers 53:Nonograms 36:Picross S 32:Picross e 2762:Nintendo 2674:Nintendo 2664:Ape Inc. 2173:citation 2114:. 1994. 2092:13970109 1985:See also 1810:game of 1808:freemium 1749:for the 1668:Pikurosu 1655:Nintendo 252:Pictopix 215:Overlord 159:Game Boy 151:Nintendo 135:magazine 25:Nomogram 21:Nonagram 2823:Related 2683:Picross 2648:Picross 2450:YouTube 2409:Bibcode 2350:6799509 2330:Bibcode 2305:2803842 2257:3120304 1804:Pokémon 1738:Pokémon 1716:Picross 1449:mercury 1441:Mercury 1436:Mercury 1427:Forcing 1234:Forcing 1044:removed 1029:sources 267:Example 227:Genesis 193:Pokémon 107:History 65:Picross 2419:  2348:  2303:  2255:  2162:  2118:  2090:  2080:  1846:, and 1794:, and 1760:Europe 1736:, and 1614:P = NP 1497:forces 1287:above. 979:it to 201:Sanrio 71:, and 57:Hanjie 2794:Other 2769:Mario 2740:Other 2346:S2CID 2320:arXiv 2301:S2CID 2281:(PDF) 2253:S2CID 2235:arXiv 2199:(PDF) 2088:S2CID 1978:total 1862:, or 1730:Mario 1501:glues 1399:Note: 1338:first 987:, or 258:Today 197:Zelda 133:Games 98:Names 2608:2010 2179:link 2116:ISBN 2078:ISBN 2066:IEEE 1838:and 1762:and 1662:ピクロス 1411:Glue 1368:and 1336:The 1292:Glue 1253:and 1193:and 1150:and 1141:must 1027:any 1025:cite 977:move 225:and 219:Sega 213:and 199:and 34:and 2470:IGN 2427:doi 2365:doi 2361:283 2338:doi 2293:doi 2289:304 2245:doi 2070:doi 1951:or 1900:by 1848:iOS 1832:iOS 1696:Wii 1634:C++ 1272:or 1038:by 229:). 221:'s 155:fad 2856:: 2715:3D 2570:. 2518:. 2493:. 2468:. 2447:. 2425:. 2415:. 2405:42 2403:. 2359:, 2353:; 2344:, 2336:, 2328:, 2316:69 2314:, 2308:; 2299:, 2287:, 2283:, 2251:. 2243:. 2231:37 2229:. 2223:. 2175:}} 2171:{{ 2139:. 2110:. 2086:. 2076:. 2064:. 2060:. 2044:^ 2028:. 2004:^ 1827:. 1790:, 1740:. 1732:, 1665:, 1624:. 1616:. 1372:: 1364:, 1319:. 1257:: 983:, 937:. 638:0 606:2 603:2 324:0 292:2 289:2 240:, 195:, 167:NP 67:, 63:, 59:, 2640:e 2633:t 2626:v 2610:. 2588:. 2574:. 2553:) 2549:( 2528:. 2503:. 2478:. 2433:. 2429:: 2411:: 2388:. 2374:. 2367:: 2340:: 2332:: 2322:: 2295:: 2265:. 2247:: 2237:: 2209:. 2181:) 2143:. 2124:. 2094:. 2072:: 2038:. 1923:) 1917:( 1912:) 1908:( 1894:. 1671:) 1659:( 1403:2 1392:2 1385:5 1370:2 1366:2 1362:5 1317:5 1313:5 1309:5 1281:2 1274:3 1270:2 1263:3 1255:2 1251:3 1224:3 1217:1 1203:1 1199:3 1195:1 1191:3 1152:3 1148:4 1116:8 1083:) 1077:( 1065:) 1059:( 1054:) 1050:( 1046:. 1032:. 999:) 995:( 991:. 969:. 944:) 940:( 877:0 854:2 831:2 808:2 785:4 762:6 739:2 736:2 715:2 712:2 691:6 668:4 645:0 635:4 632:4 629:2 626:2 623:9 620:9 617:0 563:0 540:2 517:2 494:2 471:4 448:6 425:2 422:2 401:2 398:2 377:6 354:4 331:0 321:4 318:4 315:2 312:2 309:9 306:9 303:0 38:. 27:.

Index

Nonagram
Nomogram
Picross e
Picross S

Knowledge logo
logic puzzles
discrete tomography
binary image
The Sunday Telegraph
Games magazine
Nintendo
fad
Game Boy
Super Famicom
Mario's Picross
Jupiter Corporation
Picross DS
Picross e
Pokémon
Zelda
Sanrio
Picross S
Kemono Friends
Overlord
Sega
Master System
Genesis
role-playing game
Runescape

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