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
1296:
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
1175:
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
1955:
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
1461:
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
1100:
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
102:
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
1542:
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
1962:
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.
1753:
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
1104:
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
262:
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
111:
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
1679:
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
1560:
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,
1549:
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
1713:
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
1858:. In it, nonogram puzzles (again called "Picross" puzzles) representing in-game objects are optional, unlockable puzzles late into the game that can be played in the level "The Central Station", and solving them unlocks bonus levels in the game. In 2018, Konami released a game titled
1101:
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.
83:
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.
1553:
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:
1527:
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:
1575:
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.
1238:
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.
1754:
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.
1583:
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.
1113:
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
1980:
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.
1188:
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
1507:
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:
1969:
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.
1592:
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.
1619:
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
1226:
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.
1503:
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.
1557:
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.
1490:
1570:
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.
1455:
1376:
1326:
1301:
1243:
1209:
1158:
1122:
236:
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
1550:
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.
1349:
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:
120:
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
1532:
1315:
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
1680:
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).
1770:
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
1230:
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.
1180:
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.
232:
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
103:
Square, Logicolor, Logik-Puzzles, Logimage, Oekaki Logic, Paint Logic, Picture Logic, Tsunamii, Paint by Sudoku, Picture-forming logic puzzles, and Binary
Coloring Books.
79:
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
2801:
112:
Tetsuya Nishio invented the same puzzles independently, and published them in another magazine. At this time, nonograms were also called picture-forming logic puzzles.
141:
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".
1956:
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.)
1462:
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.
1421:
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
1632:
An extensive comparison and discussion of nonogram solving algorithms is found at the WebPBN site (Web Paint-By-Number). A nonogram solver written in
1546:
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.
1096:
Example of a nonogram puzzle being solved using crosses to mark logically-confirmed spaces. Some of the steps of the process are grouped together.
1539:
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.
1360:
For example, considering a row of fifteen cells with boxes in the third, fourth, sixth, seventh, eleventh and thirteenth cell and with clues of
254:
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.
2178:
237:
1387:
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.
130:
published a dedicated puzzle book titled the "Book of Nonograms". Nonograms were also published in Sweden, the United States (originally by
1105:
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.
149:
Paint by numbers puzzles were implemented by 1995 on hand held electronic toys such as Game Boy and on other plastic puzzle toys.
1394:
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.
1819:
2081:
1470:
Some more difficult puzzles may also require advanced reasoning. When all simple methods above are exhausted, searching for
2056:
Salcedo-Sanz, Sancho; Ortiz-Garcia, Emilio G.; Perez-Bellido, Angel M.; Portilla-Figueras, Antonio; Yao, Xin (April 2007).
1356:
A box if splitting the two blocks by a space would produce a too small block that does not have enough free cells remaining
965:
126:
started publishing them on a weekly basis. By 1993, the first book of nonograms was published by Non Ishida in Japan. The
162:
2638:
2119:
1976:
is another type of picture logic puzzle by Nikoli. It works like regular nonograms except that it only specifies the
1919:
1495:
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
1079:
1061:
941:
1043:
175:
for the Game Boy, was released outside Japan. Since then, one of the most prolific Picross game developers has been
1484:
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).
1340:
clue may also be preceded by some other clues, if all the clues are already bound to the left of the forcing space.
1474:
may help. It is wise to use a pencil (or other color) for that to facilitate corrections. The procedure includes:
165:(eight of which were released in two-month intervals for the Nintendo Power Super Famicom Cartridge Writer as the
1901:
1039:
2874:
1705:, as well as on the Nintendo Switch Online service worldwide on September 23rd, 2020). Both games introduced
1638:
2310:
Chrobak, Marek; Dürr, Christoph (1999), "Reconstructing hv-convex polyominoes from orthogonal projections",
1786:
in 2015. Another downloadable version of the game was released for Nintendo 3DS's Nintendo eShop, called
1249:
For example, considering a row of ten cells with spaces in the fifth and seventh cells and with clues of
2158:, vol. TR96-0008, Technical Report, Department of Computer Science, Tokyo Institute of Technology,
1146:
The same applies when there are more clues in the row. For example, in a row of ten cells with clues of
2567:
2277:
1719:
1728:, each with a new set of puzzles, including puzzles based around various Nintendo characters, such as
2864:
1897:
1035:
927:
2355:
Kuba, Attila; Balogh, Emese (2002), "Reconstruction of convex 2D discrete sets in polynomial time",
191:
series for the Nintendo 3DS eShop (along with 5 character-specific titles, including ones featuring
2783:
2164:
1686:
1024:
2421:
1890:
1028:
1561:
filling cells 3 through 6. The results are the same as doing it from the left in the step above.
2869:
2837:
2416:
2159:
2136:
2220:
2631:
1851:
2465:
2408:
2329:
1471:
122:
8:
2729:
2658:
1990:
1778:
1733:
196:
176:
80:
2412:
2333:
1489:
1454:
1375:
1325:
1300:
1242:
1208:
1157:
1121:
2859:
2776:
2345:
2319:
2300:
2252:
2234:
2087:
1776:, was also released for the DS in Japan in 2009 and internationally in 2010. A sequel,
1675:
1543:
area. If it is known that the rightmost cell is a space, the difference is 14 - 13 = 1.
1322:
Note: This method may also work in the middle of a row, farther away from the borders.
171:
2808:
2515:
2369:
2341:
2296:
2055:
1850:. In addition, nonogram puzzles have appeared in non-picross puzzle games, such as in
1812:
976:
2172:
2115:
2077:
1843:
1835:
1823:
was released for Nintendo 3DS on March 31, 2016, exclusively as a premium reward for
1448:
2490:
2399:
Batenburg, K.J; Kosters, W.A. (2009). "Solving Nonograms by combining relaxations".
2219:
Hoogeboom, Hendrik Jan; Kosters, Walter; van Rijn, Jan N.; Vis, Jonathan K. (2014).
2091:
1333:
A space may act as a border, if the first clue is forced to the right of that space.
2624:
2426:
2364:
2349:
2337:
2304:
2292:
2256:
2244:
2201:, master's thesis, Leiden Institute of Advanced Computer Science, Leiden University
2193:
2069:
1621:
214:
131:
1939:
shapes must be placed in the grid, without touching each other (even diagonally).
1842:, and the Color Cross series of games by Little Worlds Studio on the Nintendo DS,
1297:
column, the first or last clue must be aligned to the edge of that row or column.
972:
2430:
2105:
1698:
1606:
1168:
crowded to the right, one just next to the other, leaving two spaces to the left;
209:
series for the Nintendo Switch (along with two character-specific ones featuring
2025:
2668:
2563:
2057:
1643:
1307:
Considering a row of ten cells with a box in the third cell and with a clue of
210:
94:
Nonograms were named after Non Ishida, one of the two inventors of the puzzle.
46:
2444:
2195:
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
1767:
1690:
for the Super Famicom, neither of which were translated for the U.S. market (
1092:
933:
222:
76:
2073:
1165:
crowded to the left, one next to the other, leaving two spaces to the right;
2830:
2248:
2225:
2111:
1783:
1702:
226:
88:
2599:
1353:
A space if joining the two blocks by a box would produce a too large block
1839:
1824:
1750:
1602:
246:. In 2013, Casual Labs released a mobile version of these puzzles called
1531:
2747:
2722:
2445:"NES & Super NES - September Game Updates - Nintendo Switch Online"
1904: in this section. Unsourced material may be challenged and removed.
1772:
1745:
1724:
1268:
the empty gap on the sixth cell is too small to accommodate clues like
1219:
is complete and there will be a space at each side of the bound block.
181:
1803:
1737:
192:
2704:
2697:
1936:
1763:
1609:
1515:
cells that are close to the borders or close to the blocks of spaces;
263:
Czech Republic, Slovakia, Russia, Ukraine, and many other countries.
242:
205:
187:
35:
31:
1879:
1265:
would be forced to the left, because it could not fit anywhere else.
1013:
250:
with the theme of restoring an art gallery. Released early in 2017,
2673:
2663:
2324:
2239:
1807:
1657:
has published several nonogram video games using the name "Picross"
1654:
158:
150:
24:
20:
2449:
1613:
217:
respectively, and another featuring intellectual properties from
2156:
NP-completeness results for NONOGRAM via Parsimonious Reductions
1518:
cells that are within rows that consist of more non-empty cells.
41:
1759:
1431:
Note: The examples above did not do that only to remain simple.
200:
1945:
are an offshoot that uses triangle shapes instead of squares.
157:
and released two "Picross" (picture crossword) titles for the
1729:
1710:
1633:
2385:
2026:"Origins of Cross Reference Grid & Picture Grid Puzzles"
1866:(ピクロジパズル), featuring classic Konami characters and sprites.
19:
This article is about the puzzle. For the star polygon, see
2802:
My Nintendo Picross: The Legend of Zelda: Twilight Princess
2585:
2218:
2065:
2062:
2007 IEEE Symposium on Computational Intelligence and Games
988:
218:
2616:
1118:, the bound block consisting of 8 boxes could spread from
980:
1847:
1831:
1695:
1481:
Using all available methods to solve as much as possible.
1405:
are further completed. This is, however, not part of the
154:
984:
1283:
will spread through the ninth cell according to method
1701:'s PAL service on September 14, 2007, as part of its
1401:
The illustration picture also shows how the clues of
87:
These puzzles are often black and white—describing a
1143:
spread through the six centermost cells in the row.
1478:
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:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.