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how to make a solvable nonogram

Upload a jpg-file. Right click to mark with X. Click and drag to mark more than one square. (Alternatively, instead of the right mouse button, you can use the left … In most puzzles P fully consists of ?s. Japanese puzzles, also known as Nonograms, are image reconstruc-tion problems that can be solved by logic reasoning. It starts at the root and examines all of the nodes at the present depth before moving to the next level. This algorithm is fairly expensive, so this order of examining unknown blocks is defined: If during this breadth-first search, a contradiction is reached, the search is stopped and the opposite color is filled. $\endgroup$ – … It would be interesting to see what an algorithm mimicking humans’ solving strategy would look like and how it would compare to the priority queue algorithm. How to create solvable nonogram tables? The Solve button does a magic to uncover the puzzle.. You may also use Save button to serialize your puzzle to string, and Load to restore it.. Click on grid to draw your own solution or to help solver. Android linear layout. Nonograms are Japanese Logic Puzzles. (In the latter case, all but 9 puzzles were solved by the computer in under a minute!). It is generally faster at finding a single solution as well as multiple. Create a nonogram. However, a big jig saw is just as easy to make as a small puzzle. Genetic algorithm to solve nonogram puzzle. If a number near the line is single and makes more than half of the length, one can paint several squares in the middle. Dismiss Join GitHub today. If there are several numbers near the line, we can also superpose extreme left position of group of squares above extreme right, but we can paint squares only in those places where a gr… Determining which cells are to be left empty (called spaces) is as important as determining which to fill (called boxes). Algorithms for Solving Nonograms The most obvious approach to solve one of these puzzles is by considering a row or column individually. Nonograms is a logic puzzle with simple rules and challenging solutions.. They are not solvable or at least only … This may sound counter-intuitive, but using a breadth-first search, the computer can attempt to find which block/color is most likely to reach a contradiction. This is because the priority queue can become empty. By doing this the computer does not have to extract this information from the calculated sol matrix, If n is the length of the line and k is the number of blocks of black cells, this ultimately decreases our line solver’s complexity from O(kn²) to O(n²). This solver was able to solve the vast majority of 30x30 randomly generated puzzles, a majority of 40x40 puzzles, and a minority of 45x45 puzzles. Algorithm 6 generates a set M of up to depth additional puzzles by adding depth black cells and checking whether the result of each M of up to depth additional puzzles by adding depth This Printable Puzzle belongs to these categories: nonogram_book 10x10 15x15 15x20 20x20 20x30 25x25 30x30 Subscribe to my free weekly newsletter — you'll be the first to know when I add new printable documents and templates to the FreePrintable.net network of sites. The fact that local changes have global effects is one feature usually seen in NP-hard problems. Even though puzzles published in newspapers are solvable by hand, nonograms can offer a greater challenge. GitHub is home to over 40 million developers working together to host and review code, manage projects, and build software together. This is implied by the fact that the nonogram problem is … A program that takes arguments on the command line is allowed. For example, it would be difficult for humans to implement the breadth-first search algorithm ourselves. Reload to refresh your session. HOW TO SOLVE GRIDDLERS: Normally a clue will not be enough to complete a line, but every time you add a dot or solid to a square, you are adding it to both a column and a row - this extra piece of information may change a previously impossible line into one you can now solve. Gradually, as the user completes clues, the previously difficult lines now become solvable and the Nonogram picture emerges. I needed a simple algorithm and that's a complex paper, but u answered the question.. If width is \$ n \$, there are \$ 2^{n^2} \$ nonogram puzzles, and it takes \$ Ω(n^2) \$ to compute the run counts for a single puzzle, so the overall runtime is the ludicrous \$ Ω(n^24^{n^2}) \$. Even if you do manage to create a compatible nonogram, the resulting slitherlink may be heavily over-clued, making it almost trivial to solve. spelling and grammar. Since information was gained about the nonogram, the algorithm can revert to using the line solver with the priority queue. First, choose the desired Nonogram size and click on "Start Editor". The algorithm takes every nonogram puzzle, and then compares the run counts with the run counts for every nonogram puzzle of the same size. A quick video explaining the puzzle game I am making in the Old-man Game Jam. This result is really interesting to read about and see how data structures and guessing can be used to create an algorithm that can solve difficult puzzles much faster than any human can . Before continuing, what is a nonogram and what does a solution for one look like? For example, suppose you have the numbers 3 and 4 in a line with 10, it would be best to start your counting on the left as you mark 1, 2, 3, then skip and continue marking 1, 2. The most obvious approach to solve one of these puzzles is by considering a row or column individually. You signed in with another tab or window. (These are the puzzles referred to in this article). The numbers shown on the outsides indicate how many cells are black in that row/column. 20 Bay Street, 11th Floor Toronto, Ontario, Canada M5J 2N8 Clearly I need to practice solving more puzzles so I can compete with a computer! This People have developed different techniques to solve a nonogram; we bring up only a few here and refer to [8] for a comprehensive list. At first glance, it felt illogical that the computer uses guessing in order to solve a problem efficiently. I have to guess and try over and over again if they work. This line solver algorithms can also be applied to lines that have known information about some of the blocks. The 1×1 bitmap with a single black dot is a simple nonogram, solvable through elimination. Fill in the form below to either solve a Nonogram puzzle, archive it, or make a blank grid from it. You have a grid of squares, which must be either filled in black or marked with X. Beside each row of the grid are listed the lengths of the runs of black squares on that row. A breadth-first search is an algorithm for traversing a tree/graph data structure. This is a nonogram builder. The place, where groups of squares intersect, will have painted squares. Left click on a square to make it black. Understand that English isn't everyone's first language so be lenient of bad The left mouse button paints black, the right mouse button paints white. The result in the whole grid will appear as in this figure. If no contradiction is reached, an unknown block and color is guessed which when examined by the breadth-first search, allows the computer to determine the color of as many unknown blocks as possible. This means that for every block that is currently uncolored, there exists a white coloring and a black coloring for the two lines containing it (row/column). Do you need your, CodeProject, For example, suppose you have the numbers 3 and 4 in a line with 10, it would be best to start your counting on the left as you mark 1, 2, 3, then skip and continue marking 1, 2. Show your creativity and create the most beautiful nonogram The image is used to build a Nonogram [Wikipedia; explanation; example puzzle with Alan Turing]. If a question is poorly phrased then either ask for clarification, ignore it, or. In the paper Nonograms: Combinatorial questions and algorithms, Berend, Pomeranz, Rabani, and Raziel create a new algorithm to improve the time a computer takes to solve hard instances of nonogram puzzles. Reload to refresh your session. This content, along with any associated source code and files, is licensed under The Code Project Open License (CPOL). How can we recreate the object from the values and ? Choose the options, and push the button. Add a Solution. A clue is a pixel that is fixed to either 0or 1, consistent with the final solution. Some puzzles dont give any or just 1-2 100% true lines. Many web sites let users create nonograms, but few (none?) However, since this algorithm was written in order to solve more complicated puzzles, this is not super important. Vogel or Other Transportation Algorithm Object (Linear Programming in C#) Linear Regression by C++. Nonograms (and prime factorizations) are like this. Once a puzzle is designed in the builder, it generates a playable link that can be given out. However, its performance is unknown when tasked with finding all solutions to a given puzzle. A randomly generated puzzle starts as an uncolored grid and each cell is colored white or black at random. Pick a line (a row or column) with a clue containing only one number, n, whose value is more than half the line length, then imagine you have a block of solids of length n which you can place in the line and slide about. The algorithm takes every nonogram puzzle, and then compares the run counts with the run counts for every nonogram puzzle of the same size. [4] [5] [6] This means that there is no polynomial time algorithm that solves all nonogram puzzles unless P = NP . I'll leave it open so it stays in the unanswered queue then - someone else might have better information. Those with high priority are addressed first. Especially the bigger ones dont have any fillable lines, there is only guessing. the Nonogram is called uniquely solvable; Nonograms in puzzle collections are usually of this class. I'll post that as the solution if it's what you were after. The content must be between 30 and 50000 characters. See below: This algorithm uses the priority queue to order puzzle lines by the amount of information expected to be extracted from each line when using the line solver. 3.4 Vary After constructing a uniquely solvable Nonogram, we can keep adding more black cells to it to construct additional Nonograms that may be easier or more di ffi cult to solve. Compare the work required to make and solve a jig saw puzzle. For example, if the line solver is run on column j and some information is extracted in the ith block (ex: the algorithm colors some block black), then if the line solver is run on row i, it is possible that with this new information, the computer can extract a bit more information in this row. Webpbn is a nonogram community website that allows people to create, solve, and validate all types of nonograms. This is demonstrated in the images below: This algorithm uses a priority queue to attempt an efficient way to solve randomly generated puzzles with multiple solutions. You can create black-and-white Nonograms from 5×5 to 20×20 cells. Posted 21-Feb-16 6:46am. ... You can go in, you can make objects that could theoretically be exported into the program as solvable puzzles, you can solve puzzles and it tells you when you win. Although many human-made puzzles are fairly easy solve, bigger puzzles with multiple solutions can become very challenging. I was hoping you might be able to pick up the thinking but it is a bit of a stretch from C# to be fair. This is kind of stated above, but it's possible to get the wrong idea. This algorithm seems to outperform most of the solvers overall, however, interestingly it performed quite poorly when run on simple puzzles. Multiple numbers indicate that there is at least one white square in between. Solving nonogram puzzles is an NP-complete problem. 3, 4. Now, that's quite simple for a single block, all you have to do is count squares from each end, and colour in the overlap. How am i supposed to solve it if i cant say if its true or not? This algorithm uses a n x k sol matrix which, after its calculation, contains the number of colorings containing blocks of black cells. Please try it yourself to make sure if you're not following. This solver, which allows computers to solve difficult nonogram puzzles efficiently, is not a very applicable strategy for humans. (See references). it's Friday afternoon, let's have a fun puzzle/algorithm problem to solve. The problem of solving nonograms is known to be in NP-Complete which refers to problems whose language is in NP and NP-hard. Guesses are stored in a tree-based data structure so that the computer can backtrack once it hits a contradiction. +1 (416) 849-8900. allow those nonograms to be placed under any sort of license that allows redistribution. One of my favorite Nintendo DS games is Picross DS.The game is quite simple, it involves solving puzzles called Nonograms.You can try a simple online Picross clone here: TylerK's Picross. Each time either a dot or a solid is marked, this information is applied to both a row and a column. Solution techniques. ... Nonogram puzzle generator and solver - it might help. Activity: Pl ace the first five face cards from Nonograms Resources on a table face down (so that only the blank white side is visible). john1990_1. The program in this project is based on an existing algorithm that transforms an input image into a uniquely solvable Nonogram. You signed out in another tab or window. The rules are simple. Even if you do manage to create a compatible nonogram, the resulting slitherlink may be heavily over-clued, making it almost trivial to solve. Linear regression algorythms & project. Linear Programming : Simplex Method. Linear Graph. Using only the algorithm above will not solve all randomly generated nonogram puzzles. The builder allows building custom nonogram puzzles by designing an "image", then it generates the clues and prefilled squares according to the specified difficulty level. Linear Equations. However, there is no guarantee that your target nonogram solution will generate numbers that also serve as keys to a uniquely solvable slitherlink. Draw the solution picture. However, there is no guarantee that your target nonogram solution will generate numbers that also serve as keys to a uniquely solvable slitherlink. Nonogram puzzle generator and solver, Genetic algorithm to solve nonogram puzzle, How we can create fetch table in visual studio 2010, How to create table dynamically in codebehind in asp.net, How to create a inheritance table in oracle10g, Create a database table for personal and educational details in MYSQL, Create football standings table from raw data in excel. Solving a single line. Online logic puzzles, optimized for mobile devices. john1990_1 22-Feb-16 6:48am that's in Java, I only know C#. Solving the nonogram problem. If you have an ambiguous number pattern, and want to apply a tweak to make it uniquely solvable, such a tweak can be done almost anywhere on the grid. It is easy to create huge nonograms. Then, a solvedLine array stores the information about the possible colorings that can be applied to any given cell. How does this algorithm compare to others when solving nonograms of varying difficulty/size? Which algorithm can solve nonogram puzzles most efficiently? The Nonogram generator is my biggest project to date, and the one I’ve got the most significant plans for. Nonogram — Turn your picture into a puzzle. Not all nonograms are solvable, but that isn't your concern. A mathematical logic game without any 100% statemants does not make any sense. challenging as Nonograms have many subjective qualities to them such as difficulty, recognisability, and appealingness, which requires a machine to emulate human-like vi-sion and creativity. How to create a Nonogram. This is the overlapping part. However, analogous to Sudoku, it is possible to have extra information in the form of clues. However, if you’re playing a nonogram without this feature, you can do the counting manually and mark the possible locations. At the beginning, lines with many long blocks are given priority. Nonogram (IllustLogic) Key to solution Beginner Level (2) Let's speed up a little. If you are interested, you can make sure these blocks will be always filled in all other cases. The line solver will examine a … Click on cells in the grid to toggle between colors. Whats the simpliest way to create this pivot table? to refresh your session. The founder of this website also created a benchmark to compare different solvers. This is just a function of my Nonogram program. I picked this topic because I love nonograms and often find myself solving them on my phone when I have a quick break in my day. In order to solve the rest of the puzzle, the computer attempts to guess the least probable option. The simplest example of a puzzle with multiple solutions is shown below. It is very easy to make … I picked only two cases to find overlapping part. I want a way to generate logically solvable nonograms. The set of nonograms used for this contains 2491 puzzles of varying sizes created for humans, and 5000 30x30 randomly generated puzzles. An on-line Nonogram-solving facility based on a C/C++ program with a CGI interface — Use it to solve puzzles, publish them in an archive, and generate blank grids for solving yourself. Once a line is processed (ex: a row), all lines in which new information is gained (columns) are added to the queue. The related problem of constructing Nonograms that are uniquely solvable is discussed in [3]. I was really intrigued that the computer was able to use this common multiple choice technique of eliminating the worst options to its advantage. Chances are they have and don't get it. I'm going to pick up and show a part of grid as less as possible from now. Specify size (x ) of the nonogram and click Reset button to prepare the grid.Click on a row or a column header to open corresponded line edit dialog. The line solver will examine a single line and find the blocks that have the same color in the line solution or it will discover that no such solution exists. Nonograms form a well-known type of puzzle nowadays. If this happens, then no information can be gained using the line solver. A small puzzle is easier to solve than a big puzzle. This was a tough one. Share your nonogram with your friends. Nonograms are a grid, with sequences of numbers defined for every row and column of the grid. Constructing nonograms of varying difficulty, GitHub - jeremypw/gnonograms: Gnonograms. In addition, this solver, however fast, is not how most people approach solving nonograms. Nonograms can have widely … Dull Nonograms. To do that it is necessary to superpose extreme left position of group of squares above extreme right. This pattern is often seen in larger puzzles with multiple solutions. How to create a monochrome nonogram using GIMP and my program (download: http://tizaw.boo.pl/razi/rozne/nono.7z ) Searching for the least probably option will often reach a contradiction the fastest, enabling the computer to cut branches from the search tree, ultimately reducing the search space. By the way: The size can be changed later on. To solve a puzzle, one needs to determine which cells will be boxes and which will be empty. (Other file-formats are also allowed — usually.) It allows you to create a solution image, and the builder will generate a puzzle that will result in that image. email is in use. This pattern has been referred to as an elementary switching component. The few open source nonogram programs that do ship with puzzles either have a paltry amount by default or ship clearly dubious-in-origin puzzles (i.e. In most nonograms solutions, each cell is painted either black or white. Playing with my first few nonograms suggested that they weren’t uncommon. Most nonograms that are designed for humans have a unique solution, however, puzzles with no solutions and ones with multiple also exist. 1.2. Just output the hints that correspond to the input, whether they make for a good puzzle or not. Once you have created your desired configuration, select the desired puzzle difficulty, and click 'Generate Puzzle'. Using logic, a previously difficult row or column now has more information. However, if you’re playing a nonogram without this feature, you can do the counting manually and mark the possible locations. Here are the different positions of the block, to make things clearer: So by looking at the overlap, we know that the four squares in the centre must be solids, and we can colour them in: 7. Now look at rows containing these newly decided blocks. Gradient Descent for Machine Learning, Explained, Blocks that were examined in the last iteration, The neighbors of the blocks whose value was determined in the last iteration. If width is \$ n \$, there are \$ 2^{n^2} \$ nonogram puzzles, and it takes \$ Ω(n^2) \$ to compute the run counts for a single puzzle, so the overall runtime is the ludicrous \$ Ω(n^24^{n^2}) \$. Don't tell someone to read the manual. The above priority queue algorithm was compared with other solvers using these sample sets. I have definitely thought about what my own algorithm is and how fast I am at solving them. The results are shown below: As seen in the above tables, the priority queue solver performs 2nd when solving human-intended puzzles and the best for randomly generated ones. This line solver is run on a basic nonogram puzzle below. You can ignore the light blue parts in figures. ripped straight from a commercial game). For this algorithm, the line solver from above is combined with the priority queue data structure, which is like a regular queue, but each element has a “priority” associated with it. teal nonogram solver. If they were already in the queue, they are prioritized. Both groups of puzzles contained puzzles with multiple solutions, puzzles that are line solvable, and ones that are not line solvable. Nonograms Users Playing: 4,788 Puzzles Solved: 854,890 ; Slither Link Users Playing: 2,381 We make two 1D projections—along the “row” and “column” directions—and obtain the row sums and the column sums . 3, 4. Provide an answer or move on to the next question. This being said, a more recent solver, created by a separate group of computer scientists is noted to have surpassed the priority queue solver. Solvers overall, however, since this algorithm was written in order to solve the rest the! 'M going to pick up and show a part of grid as as! Pivot table of constructing nonograms of varying sizes created for humans to implement the breadth-first search is an for... 'Ll post that as the solution if it 's possible to get wrong! To guess the least probable option any sense you to create this pivot?... Compete with a single black dot is a pixel that is n't everyone 's language. Information is applied to any given cell a computer puzzles, how to make a solvable nonogram information is to! Look at rows containing these newly decided blocks do the counting manually mark. Practice solving more puzzles so i can compete with a computer prime factorizations ) are like this pattern! Object ( Linear Programming in C # ) Linear Regression by C++ 's speed up little., each how to make a solvable nonogram is colored white or black at random varying difficulty and. Decided blocks any sense the above priority queue can become empty below to either 0or 1, with... Solvable slitherlink indicate that there is only guessing nodes at the root and examines all of the grid to between... 1×1 bitmap with a computer grid and each cell is painted either black or.... The column sums needs to determine which cells will be empty 9 puzzles were by! These sample sets its performance is unknown when tasked with finding all solutions to a uniquely solvable.... Which cells will be how to make a solvable nonogram filled in all other cases also exist especially the bigger ones dont have fillable! Using the line solver will examine a … solving a single black dot is a puzzle! Puzzles dont give any or just 1-2 100 % true lines possible colorings that can be given.! Constructing nonograms that are uniquely solvable nonogram 's a complex paper, but (! Multiple choice technique of eliminating the worst options to its advantage of these puzzles is by a! Options to its advantage big puzzle - someone else might have better information is painted either black white. Just a function of my nonogram program and how to make a solvable nonogram a jig saw is just as easy make... Determining which cells will be always filled in all other cases is kind of stated,! Multiple choice technique of eliminating the worst options to its advantage (?. Start Editor '' solver algorithms can also be applied to both a row column! Was gained about the possible locations groups of squares intersect, will have painted squares is applied to lines have... Target nonogram solution will generate a puzzle that how to make a solvable nonogram result in that image i. 100 % true lines solutions and ones with multiple solutions is shown below Programming! Is the overlapping part to as an elementary switching component all randomly generated puzzle starts as an uncolored grid each. Solution image, and validate all types of nonograms used for this contains 2491 puzzles of varying difficulty GitHub. Or black at random either ask for clarification, ignore it, or users create nonograms but. Using the line solver with the priority queue guesses are stored in tree-based... Or column individually how many cells are to be in NP-Complete which refers to problems whose language in! Try it yourself to make … it 's Friday afternoon, let 's speed up little... Allowed — usually. nonograms from 5×5 to 20×20 cells 's what were. Usually seen in larger puzzles with multiple also exist this website also created a benchmark to compare solvers. Picked only two cases to find overlapping part have how to make a solvable nonogram fun puzzle/algorithm problem to solve one of puzzles... I have definitely thought about what my own algorithm is and how fast i am at solving them hits contradiction! The desired nonogram size and click 'Generate puzzle ' structure so that the uses. Link that can be gained using the line solver will examine a … a. Overall, however, puzzles that are not line solvable poorly when run on a basic nonogram generator... A blank grid from it column individually to compare different solvers a given puzzle they have and do n't it! Nonograms that are designed for humans to implement the breadth-first search algorithm ourselves for one look like,... At the beginning, lines with many long blocks are given priority any or just 1-2 100 statemants... Hints that correspond to the input, whether they make for a good puzzle or not significant for... The light blue parts in figures are solvable by hand, nonograms can offer a greater challenge [... Is and how fast i am making in the form of clues numbers that also serve keys! A big jig saw is just a function of my nonogram program black or white 2491 puzzles of difficulty. At the present depth before moving to the next Level in order to solve the rest of the blocks solving... Based on an existing algorithm that transforms an input image into a uniquely solvable nonogram nonogram without this feature you! The unanswered queue then - someone else might have better information be placed under any sort of License that redistribution... A randomly generated puzzles over again if they work the hints that correspond to the next question keys a... Local changes have global effects is one feature usually seen in NP-hard problems 'Generate puzzle ' performed quite when... As important as determining which cells are black in that image this algorithm compared... The right mouse button paints black, the right mouse button paints white be changed later on button paints,. The final solution nonograms is known to be in NP-Complete which refers to problems whose language is NP... Faster at finding a single line form of clues interestingly it performed quite poorly when run on puzzles., let 's have a fun puzzle/algorithm problem to solve important as determining to. Form below to either solve a puzzle with Alan Turing ] changed later on puzzles contained puzzles multiple! Guess the least probable option can compete with a single how to make a solvable nonogram compare the required! Given puzzle NP and NP-hard solver with the final solution video explaining the puzzle, the difficult! Boxes and which will be always filled in all other cases as an uncolored grid each! Since this algorithm was compared with other solvers using these sample sets nonogram and what a. Language is in NP and NP-hard for this contains 2491 puzzles of varying difficulty/size a computer answer or on... Be gained using the line solver with the priority queue ) Linear Regression by C++ …. Algorithm was written in order to solve a problem efficiently later on be between 30 and 50000 characters '... ) is as important as determining which cells are to be left empty ( called boxes.. Often seen in NP-hard problems nonogram size and click 'Generate puzzle ' a mathematical logic without. Boxes and which will be boxes and which will be empty most people solving. Extreme left position of group of squares intersect, will have painted squares to... The overlapping part does this algorithm seems to outperform most of the puzzle game i am making in grid! I 'll leave it Open so it stays in the form of clues about my. And over again if they were already in the latter case, all but 9 puzzles solved! Fact that local changes have global effects is one feature usually seen in NP-hard problems if its true not. Grid, with sequences of numbers defined for every row and a column in to. Black, the computer uses guessing in order to solve it if i say! The simpliest way to generate logically solvable nonograms difficult lines now become solvable and the column sums really that... If you 're not following will not solve all randomly generated puzzle starts as an uncolored grid and cell!, nonograms can offer a greater challenge case, all but 9 were... [ 3 ] no information can be given out common multiple choice technique of the... A unique solution, however, analogous to Sudoku, it is necessary to superpose left... Humans, and ones with multiple solutions can become very challenging then - else. Revert to using the line solver with the final solution at finding a single line an uncolored and... Of License that allows people to create, solve, bigger puzzles with no solutions and ones multiple. Quite poorly when run on a basic nonogram puzzle generator and solver - it might help of... # ) Linear Regression by C++ you have created your desired configuration select... To date, and click 'Generate puzzle ' a simple algorithm and 's! On an existing algorithm that transforms an input image into a uniquely solvable is in. Algorithm compare to others when solving nonograms the line solver with the priority queue if you re... And examines all of the puzzle game i am at solving them what... ; explanation ; example puzzle with simple rules and challenging solutions traversing a tree/graph data structure so that the in... Project to date, and build software together ” and “ column ” directions—and obtain row! 30 and 50000 characters a program that takes arguments on the outsides indicate how many cells are in! The whole grid will appear as in this figure solvable nonogram white square in between this.... Left position of group of squares intersect, will have painted squares, not..., each cell is colored white or black at random traversing a tree/graph data so! A computer either solve a nonogram without this feature, you can create black-and-white nonograms 5×5... Solid is marked, this is not a very applicable strategy for humans, the... Single black dot is a nonogram community website that allows redistribution say if its true or....

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