Japanese scanwords online. Japanese crosswords. Instruction, rules for solving Japanese crosswords. Solving black and white crosswords
The most important rule when solving black-and-white Japanese crosswords is that there must be at least one non-filled cell between the blocks of filled cells!
Japanese crossword puzzle, original view:
The numbers on the left and on the top correspond to the number of painted blocks on the playing field, while the order of the numbers corresponds to the order of the painted cells: for rows it is from left to right, for columns it is from top to bottom. For example, take the first line from the top, we see two numbers: 5 and 4 - this means that the first line has two filled blocks, while the first on the left is a block of 5 cells, and then 4 cells and between these two blocks, according to the main rule, it is located at least one empty cell! Now let's look at the first column, there is only one number: 5, that is, in the first column there is only one filled block for 5 cells! If the column contains several numbers, then the order of the shaded blocks is from top to bottom.
Japanese crossword puzzle. Solution example
Step 1. We are looking for cells that we can paint over with 100% certainty. First of all, the last 2 lines are striking, with the numbers 30, so we will paint over all of them.
Step 2. Now let's pay attention to the numbers above. Since we have painted over the last 2 lines, we will be interested in the last digits in each column. We can safely take the last digit in each column (since we have filled fields at the border and we have only one option in which direction to paint further).
The game cells marked with red crosses are 100% empty cells. As you can see from the figure, we have completely filled in the last 4 lines (from 12 to 15) and our next step will be that we will fill in the 11 line, in the same way at the extreme numbers. That is, as we can see in line 11, we have 2 numbers 7 and 6, and there are already 2 blocks on the playing field located on the borders. The result is shown in the figure below:
Step 3. Having carefully looked at our black-and-white Japanese crossword puzzle, we will continue to paint over the cells 100% that are on the field. Thus, we can begin to paint over the 25th column, as we can see, there should be 2 blocks (2 and 2) in it, one block has already been painted over, and the second block has a 100% empty cell on one side (marked with a red cross). I would also like to draw your attention to line 19 with the numbers 8 and 2, the number 2 is crossed out (already drawn) and for the number 8 we have 10 unknown cells (white), so we can fill in the part of the block corresponding to the number 8.
Let's take a closer look at how we filled in these 6 cells in column 19. And why exactly 6 cells, and not 8?
In the picture on the left you can see the column of interest to us: at the very bottom there are 5 filled cells (10-15 rows) for the previous steps (3 are exactly empty and 2 filled). We also have 2 additional filled cells in the middle of the empty one. playing field(line 3 and line 8). How did we get them? The answer is simple. For the number 8, we had a range of 10 cells (from 1 to 10 lines inclusive), of which only 8 should be painted over. First of all, we measure the 8 cells we need from the upper border (line 1) and paint over it, then from the lower border (10th row) subtract 8 cells, we get row 3. Those cells that are between these two cells are 100% filled cells!
Step 4. Our further actions will be similar to the actions in the previous steps, we will paint over the cells with 100% probability that are on the field and we will start from line 10! Here's what we got:
Step 5. As you can see, we are almost done with our black and white Japanese crossword puzzle. But we only ended up with the easiest part of it. Let's consider now what to do next. We can ignore columns from 7 to 14, because the remaining numbers are too small for the remaining playing range. But in columns 15, 16 and 17, we can paint over some of the cells. If everything is clear with column 17 (by analogy with number 8 from the last step, only in this case we have number 3), then lines 15 and 16 will be considered in more detail. The remaining numbers 1 and 2 for the playing range of 5 cells, it is also necessary to take into account that there must be at least 1 unpainted cell between the two blocks.
a) Let's make the assumption that the first filled block (number 1) is located at the very border, as you can see in the figure on the left (we also remember the empty cell between the two blocks)
b) And so we have 3 empty cells for the number 2, we already know what to do next (by analogy with the numbers 3 and 8).
And now it is necessary to remove the filled-in cell from step "a", because it may not be on the border. The final range should look like in the picture on the right.
In the same way, we analyze other rows and columns, and this is what we should get after analyzing the columns: 
And here is what happens after the same analysis of strings: 
Step 6. Consider column 23. We have numbers 1 and 2, there are 4 cells on the playing field, 1 of which is exactly empty, the second is exactly painted over. The one that is painted over is the beginning of a block of 2 cells, since if we give it under the number 1, then under the number 2 we will no longer have space. Accordingly, there is one empty cell and the number 1 for it.
Consider line 4. We have 2 filled blocks (2 cells and 1 cell) between which there is exactly an empty cell. Our numbers on this line are 2,1,2. Using logic and knowledge, we can say for sure that the first filled block of 2 cells corresponds to the first digit 2, the second block of 1 cell corresponds to the digit 1 and, as a consequence, we will have 4 empty cells on this line (of which we will paint over one from the previous sentence, after considering column 23), by the last digit - 2. This is what we get: 
The further solution of Japanese crossover is to repeat the same actions as in the previous steps.
Japanese crossword puzzle, final image: 
Hello dear readers of the site. Japanese crosswords They differ from the usual ones in that their solution does not require racking your brains in order to guess a variety of intricate words. In a Japanese crossword puzzle, a picture is encrypted, which is necessary unravel by painting over the cells.
A crossword puzzle is a field consisting of a certain number of empty cells, which, in the process of solving, are painted over in the desired sequence, indicated by the clues numbers.
Hint numbers indicate the number of filled cells in the vertical and horizontal lines of the crossword puzzle, and each figure forms a group of solidly filled cells, between which leave a gap in one or more empty cells.
For the convenience of counting, the cells are combined into squares of 5 cells, and the squares themselves are highlighted with thick lines, which makes it possible to recount five cells at a time.
The groups of cells are painted over in the sequence in which the hint numbers are located: for a horizontal line, the countdown starts from left border fields, and for a vertical line from upper bound... But it should be borne in mind that, depending on the picture, there may be several empty cells between the first cell of the group and the border of the field.
For instance.
Horizontal line with numbers 5
, 3
, 1
five cells -> skip -> group of three cells -> skip -> one cell.
Vertical line with numbers 4 , 1 , 1 can be painted like this: a group of four cells -> skip -> one cell -> skip -> one cell.
They begin to solve the crossword by looking for the largest clue numbers located in the vertical and horizontal lines, because it is these numbers with a large number of merged cells that are painted over first, and then they are repelled from these painted cells when further solving the crossword puzzle.
When doing Japanese crosswords, learn a few rules:
1. Use a simple pencil, as this gives a chance in case of a mistake to erase the wrong solution and continue to solve the crossword puzzle. In case of an error, I recommend not to waste time looking for an error, but to clear the field completely and start solving the crossword from the beginning.
2.
In the process of solving a crossword puzzle, it is necessary to mark empty cells in which there cannot be a picture. This reduces the search area and makes it easier to figure out the pattern.
As a rule, empty cells are crossed out with a cross or marked with a dot. If you mark with dots, then the drawing is more expressive.
3 ... Each found group of filled cells is separated from both sides by a dot or a cross. Let's say that we have identified a group of five cells in the horizontal line 5, 3, 1. So, before the first and after the last cell we put a dot.
When all groups of cells 5, 3, 1 are found in the horizontal line, then each is separated from both sides.
Well, now, when all three groups of cells are finally found in the horizontal line 5, 3, 1, but there are still empty cells, we fill these empty cells with dots, since there should be no more filled cells in this line.
We do the same with the vertical line.
4 ... Hint numbers, the lines of which will be completely filled with dots and groups, should be crossed out. A crossed out number will indicate that the line is complete and should no longer be paid attention to.
5 ... There are no approximate solutions in the Japanese crossword puzzle - only exact calculation... You cannot roughly paint over a cell or select an empty one.
The process itself solving the Japanese crossword puzzle it is very difficult to describe, because when solving it, there are many “ifs” that cannot be explained within the framework of one page. Take at least one cell, when painting over which several variants with "if" may appear.
I suggest you watch videos where, in the process of solving crosswords, I tried to tell you the main points, possible nuances and little tricks. In the first video, an easy crossword puzzle is solved, designed for beginners, and in the second, a difficult one is solved, but the explanation is also given with a view to beginners.
Japanese crosswords (scanwords) are encoded images. Player challenge and goal logic game- to unravel this image.
The coding works like this. Let's say we have an image:
For each line, we count the lengths of the filled segments and write these numbers next to the corresponding strips:
Now we repeat the same operation for the columns of the scanword and write down the corresponding sets of numbers above the columns:
Now remove the image and leave only the numbers. This is a ready-made Japanese crossword puzzle:
The player's task is to restore the picture, having only numbers.
General logic and tactics for solving Japanese crosswords
The logic is very simple. It is necessary to find horizontal lines or vertical columns where you can make any conclusion about which cells are filled and which are not filled. You display these inferences with marks. As you get more and more leads, you move further and further until the scanword is completely solved.
Let's now look at some of the techniques.
How to start solving a Japanese crossword puzzle
At first, the scanword is empty. So far, you only know the numbers. Let's see what you can do in this situation.
The simplest techniques: solving at a glance
As you have seen, there are times when you can tell unambiguously how a row is filled. For instance:
can be filled in only one way - all cells are filled.
A slightly less obvious case:
turns out to be just as simple and unambiguous:
But such situations are not common.
Partial crossword puzzle solving at a glance
Often times, a row or column cannot be fully deciphered right away, but we can still draw some conclusions about how it is filled.
Let's consider an example:
There are three options for filling:
As you can see, in all these variants, the third cell is filled in. From this we can conclude: "We do not know exactly how this row is filled, but the third cell in it is exactly filled":
A similar approach works in more complex logical tasks... Example:
The following options are possible here:
and we can draw a conclusion about the four filled cells of the scanword:
We have not fully solved the series, but we have received quite a bit of information. Let's now see how to use it and continue solving.
How to continue solving the crossword puzzle using incomplete information.
So. Do you already know something, how to clarify these conclusions and get closer to a complete solution?
Let's introduce one more notation. We will denote by the symbol "✕" those positions about which we know for sure that they are not painted over.
Such information is also very valuable in guessing.
You know that something is painted over
If you already know that some cell in a row / column is painted over, then you can often conclude that some cells are definitely not painted over.
The simplest case is when there is only one strip in a row. Let's say you have a situation like this:
We already know that one cell must be painted over. And we are left with only three options:
That is, we can say with confidence that the two outermost cells on each side are definitely not painted over:
If there is more than one colored strip in a row / column, then the situation becomes more complicated, but even here it is possible to draw a conclusion.
Consider this example:
At first glance, the colored cell can be part of either of the two stripes, and we cannot say anything definite. But if you look closely, it becomes clear that the strip of two cells cannot be located to the right of the filled cell. After all, then they will stick together and there will no longer be two cells in the strip. This means that the rightmost cell is definitely empty:
And applying the knowledge from the previous presentation, we can draw a conclusion about two more cells:
And this is already very good.
You know that something is not painted over
At the previous step, cells began to appear, about which we know for sure that they are not painted over. This information is very useful and very easy to use.
Very often you can infer that there are other empty cells. Let's consider an example:
Here all the stripes are 2 in length, which means that none of them can fit to the right of the unpainted cell. This means that the rightmost cell is not painted over.
And of course, we can draw a conclusion about two more cells, using the techniques described above (having considered all the options for the location of the filled stripes, and highlighting the cells that turn out to be painted over in any case):
We found out the color of the three squares of the scanword.
Let's consider one more logical trick.
Unfilled cells break the line / column into segments, and quite often it is possible to determine which segments are in which strips. Look at an example:
For convenience, I have marked the segments with letters of the Latin alphabet.
It is clear that segment A is empty, since a segment of four filled cells cannot fit in it. First conclusion:
Two bicellular segments cannot fit in segment D (otherwise they will "stick together"). This means that each of our three segments occupies one of the three remaining segments. We can draw the following conclusions about the first two segments:
In total, we have not made bad progress.
By combining these logical techniques, you can solve any Japanese crossword puzzle. Rather, any crossword puzzle on this site as there are unsolvable ambiguous Japanese crosswords. But all the scanwords on this site have been tested and are not only solvable, but also allow for a step-by-step solution.
This article is for fans of various puzzles. It will discuss how to correctly solve a Japanese crossword puzzle, and where you can find a huge selection of interesting tasks for free.
History of appearance
The birthplace of the puzzle, as the name suggests, is Land of the Rising Sun. The authorship is still disputed by two representatives of this country. But whoever showed up "Inventor" of this crossword puzzle, puzzle fans all over the world are enjoying their time solving these interesting tasks.
Later, another name for the puzzle appeared - NONOGRAM, on behalf of one of the inventors, a Japanese artist and designer Non Ishida... Since the beginning of the 90s, the puzzle begins to conquer the European continent, and later - both America, Australia and Africa.
In less than a decade nonorgammas conquer the whole world, Russia does not stand aside either. Puzzles are printed in various newspapers and magazines, published as separate brochures and, of course, published on gaming sites on the Internet.
How to solve
The puzzle is a grid of squares. Beyond the boundary of the playing field, horizontally and vertically, there are rows of numbers indicating how many cells in this line should be painted over. There are two types of puzzles- black and white and color. The algorithm is almost identical for all variations of the crossword puzzle, with minor differences. Let's consider the basic principles of working with nonograms.
Basic principles of the solution
For example, let's take a crossword puzzle with a small drawing. (size 13x12 cells), which we will solve later.
So, the solution algorithm:
Rule 1
There must be at least one empty cell between the filled cells of the same color. Explanation for colored crosswords - if cells of different colors, the gap may not be.
Rule 2
For convenience, it is advisable to put a "cross", "dot" or other small sign in the cells that will remain empty (not colored).
Rule 3
It is recommended to cross out the numbers that have already been used to create the picture. Before proceeding with the solution, let's carefully study the numbers located on the sides of the field.
Important rules for solving crossword puzzles
Rule 4
If there are values that match the width or height of the field, we start to paint over with them.
In our example, this is the first vertical column. (value 12 coincides with the number of cells in height) and the last horizontal line (value 13 is equal to the number of cells in width)... Thus, it is necessary to start filling in the drawing precisely from these lines.
Rule 5
If there is no number equal to the number of cells in length or width, you need to find a sequence of numbers, the sum of which is equal to the length / width of the playing field.
In our example, the first horizontal line falls under this norm: 8 + space + 1 + space + 2 = 13.
If the previous 2 options did not work, then move on to the next option. Let's call it “overlap”. The bottom line is as follows.
Rule 6
We are looking for a sequence, the sum of which is as close as possible to the number of uncolored cells. We try to draw it virtually from left to right (or from top to bottom), and then vice versa. The cells that fall on the intersection will be unambiguously filled. Let's give an example on the penultimate vertical row with the sequence "2; 7". This is not the largest sequence, but it may work as an option.
Lines 6 through 9 hit the overlay - they will be painted over.
Pay attention to the pattern: 2 + space + 7 = 10. The total length of the row is 13 cells. Total 13 - 10 = 3. This suggests that the block of cells is more than 3 pcs. will have an overlap. In example 7 - 3 = 4. We have it turned out 4 filled cells.
Rule 7
If there are shaded cells around the perimeter of the field, shade the boundary values.
For our example, let's take a vertical column and fill all the extreme positions as shown on the slide.
Five more important rules
Rule 8
If there are more empty cells than the length of the last painted block, then in the cells that will obviously not be filled, we put an empty cell sign (remember about crosses and dots?).
For clarity, take a look at the following figure. The shaded sequence must contain 5 elements of which 4 are already shaded. Therefore, on one of the sides you need to paint over 1 cell. On the left there are 2 empty fields, on the right - 1. Based on this requirement,the cell on the left is marked blank.
Rule 9
If it is impossible to fit a block of cells into an uncolored gap due to its length, such a gap will remain empty.
In our example, there are two areas that are not shaded. The length of the first is 4, the second is 2. Only the number 4 remains on the left panel. Therefore, the block of 4 squares will not fit in the second gap. We mark it as the one that will remain empty.
Rule 10
If there is a gap between two adjacent cells, filling which we get a contradiction with the condition of the task, then such a gap should remain unfilled.
In our case, there are two figures for 1 and 2 squares. Between them, the area to fill in or not is unknown. If we color this cell, we get a block of 4 cells. But by condition, only blocks 1-1-3-1 are possible in this line. Therefore, the available the interval is marked as "empty".
Regulation 11
For multi-colored crosswords, in addition to the above, color matching must be observed at the intersection of horizontal and vertical rows.
The example is simple. The extreme color conditions of the first 3 (green) and last 4 (blue) columns do not correspond to the color sequence of the block of the last horizontal row. In this way, these cells will be marked as "empty".
The last rule
Rule 12
The most important norm. Solving a puzzle doesn't have to be agony. He should give moral satisfaction.
Observing this non-tricky prescription, you can fully enjoy wonderful world drawn crosswords.
This concludes the theoretical part of the article. Let's move on to practical tasks.
Knowing the basic principles of solving a Japanese crossword puzzle, combining them, you can solve nonograms of almost any complexity. As you gain experience, you will develop your own style and methods of solving. Each next puzzle will be solved faster and easier than the previous one. But it is still desirable to start from simple drawings.
Solving black and white crosswords
To consider the main canons, the solutions of the crossword puzzle were chosen 2 easy tasks: one is black and white, the other is color. Let's solve them by applying 12 golden rules of decision.
We start with a mono color crossword puzzle. The first step consists of applying Rules No. 4(the length of the block is equal to the width or length of the field). At the same time, do not forget to cross out the numbers corresponding to the drawn blocks (Rule # 3). We look at the slide below.
The next step is to draw blocks around the perimeter of the field. (Rule # 7)... Draw on the left horizontally blocks of 8, 2, 1, 1, 1, 2, 2, 1, 1, 1 and 2 cells. Vertically fill the bottom of the cells for 2, 1, 1, 3, 4, 4, 4, 2, 1, 1, 7, 8 squares. Don't forget to mark the end of the blocks.
Pay attention to an important detail. In vertical rows No. 3 and 9 (counting from the left edge) all the necessary cells are drawn. Therefore, we mark the remaining ones with a cross, they will be without filling.
Having drawn the indicated sequences, we see that 2 sides have the ability to fill in the boundary blocks... This is the top side and the side right. Let's finish what we need.
There are only a few strokes left to complete solution tasks. Please note that 4 cells remain on the upper horizontal line. According to the assignment, there must be blocks of 1 and 2 cells 1 + 2 = 3. But we remember that between blocks of the same color there must be at least one empty cell. Total 3 +1 = 4 !!!
We finish filling in the field and get the desired picture.
Colored nonograms
A distinctive feature of such puzzles is multicolor... When solving, it is necessary not only to correctly arrange the sequence of cells, but also to paint them in the colors required, according to the conditions. The wrong color will negate all efforts. You should also remember the first condition - Between the filled cells one color must be at least one empty, if the cells are of different colors - there may be no gap.
All of the above affects appearance crossword puzzle- not just numbers are written along the edge of the field, these cells also contain the color that should be used when drawing.
As in the case of the black and white nonogram, take a step-by-step look at completing a color puzzle. The original field size is 14x14, contains 8 colors.
The algorithm for solving such a puzzle is identical to that used in black and white. By pursuing description of Regulation No. 11, one of the options for starting the assignment was given. Using the same norm as well as the property "Overlap" Let's start the solution in a different way.
In the 12th line horizontally, the values of the numbers are 4 + 2 + 1 + 4 = 11. The length of the field is 14. Thus, a sequence of more than 3 (14 - 11) can be reflected on the field. We draw a blue cube. Since this is the only figure in the vertical row, we mark the remaining cells of the 11th row vertically with an "x".
As you already understood, you can start drawing in several ways. The result does not change, only the duration of the procedure and its complexity change. Agree, it's easier to determine the boundaries of color sequences than to calculate areas of overlap. But, we repeat, all comes with experience.
Continuation of solving the crossword puzzle
Draw on the bottom horizontal row block of 6 squares. Next, let's draw the boundary blocks. Let us mark with the symbol "x" those positions, where the picture will not be.
In the next step, let's pay attention to the 7th vertical row. Taking into account the already colored positions 12 cells remain. We check the initial condition 1 + 5 + 2 + 2 + 2 = 12. Feel free to paint over whole line in condition-specific colors.
We consistently fill in the boundary values, not forgetting to cross out the used numerical values and affix "x" in the identified places. We apply the learned rules and combine them we use to solve the nonogram.
As a result, we get a wonderful parrot and a lot positive emotions... It took to solve the task of this task just under 3 minutes.
Now you can safely start solving Japanese puzzles on your own. Below is an overview of the most popular free crossword resources.
Top services with crosswords
For fans of nonograms, as well as those who decided to try their hand at solving Japanese puzzles, our rating of sites on a given topic that provide big choice puzzles.
"Japanese crosswords"
First place in the TOP-5 is the resource with the same name "Japanese crosswords". Site contains order 20,000 crosswords of varying complexity and topics. The user can choose both mono color and color options of various sizes and complexity.
A distinctive feature of the site is the name of the puzzles. The user sees only the serial number of the task, not knowing what will be shown in the picture. This creates a certain intrigue in the decision.
A user-friendly interface, a timer and advanced settings for displaying the progress of the solution, along with a large base of nonograms, undoubtedly determine the primacy of the resource.
GrandGames
Honorary second place giving back to the resource dedicated to puzzles - GrandGames. Unlike the leader of the rating, the resource is not dedicated to exclusively for Japanese crosswords. There are other puzzles here as well.
A large database (up to 10,000 different tasks) of Japanese puzzles, a convenient search menu, a pleasant interface and advanced customization options make the resource the silver medalist of our TOP-parade.
Japanese crosswords
Japanese crossword puzzle is a puzzle in which a certain image is encrypted using numbers. The goal of the puzzle is to completely restore this image.
Japanese crosswords are divided into two types - black and white and color. In black and white crosswords, the image contains only two colors - black (with which we draw) and white (background color). In color crosswords, the image is created with several colors on a white background.
The field of the Japanese crossword puzzle is lined with horizontal and vertical lines of different thickness. The thickest lines separate the central part (picture field) from the numbers. With thinner lines, the field is divided into groups of 5 cells (both horizontally and vertically) - this is done solely for convenience (it is more convenient to count the width / height of cell groups). The image itself in a Japanese crossword puzzle is formed by painting over individual cells (central part) in the desired color. In this case, an uncolored cell is considered white.
The numbers indicated on the left and on the top of the crossword describe the groups of filled cells (going in a row, without gaps) horizontally and vertically, respectively. Moreover, the order of these numbers describes the order of the arrangement of these groups, but where each group begins and ends is not known (in fact, it is the task of the puzzle to determine their position). Each individual number denotes a separate group of a given size (i.e. number 5 - means a group of five cells filled in a row, 1 - a group of one single filled cell). In black-and-white crosswords, we always paint over the cell with black, in colored ones, we paint over the cell with the color that the number is marked with. Between groups of the same color there must be at least one uncolored cell (just otherwise they would be considered one group), between groups of different colors there may not be empty cells.
| on a note | The main requirement for Japanese crosswords is that the crossword puzzle must have a single logical solution, achievable without various "guesses" (trial and error). But, unfortunately, quite often you can find crosswords that have several solutions, or crosswords that cannot be solved by purely analytical methods. Sometimes there are even crosswords that have errors (more precisely, typos) that make the crossword puzzle completely insoluble. For this reason, we recommend that beginners do not pay attention to cheap newspapers / magazines with Japanese crosswords, and be very careful about Japanese crosswords in newspapers that do not specialize in this type of crossword. errors are very common in such publications. We also want to note that for all crosswords located on our site, we give a guarantee that there are no errors in them and that they all have exactly one solution that is achievable without "guessing". |
How to solve Japanese crosswords
The solution of color crosswords and black-and-white crosswords is slightly different (because in black-and-white crosswords you do not need to take into account the color of the cells, the rules are slightly simplified) - so for now we will talk exclusively about black-and-white crosswords.
When solving Japanese crosswords, a person considers each row / column separately, constantly moving to the next columns and rows. In this case, the solution process in each row / column is reduced to:
- Determining the cells that will definitely be painted over (for any possible arrangement of groups) - we paint them over.
- Determination of cells in which the presence of filled cells is impossible - such cells are crossed out with a cross (sometimes a bold point is used instead of a cross).
- Determination of digits, the position of which has already been calculated - usually these digits are crossed out.
Thus, gradually marks appear on the field, which at the next step help to calculate new marks, then again and again, until the crossword puzzle is completely solved (it is worth noting that if at least one mark was set incorrectly, this can lead to a dead end solution).
Solution example
So let's try to solve the simplest black and white crossword puzzle:
 | Before us is a simple crossword puzzle of 9x9 cells. We will gradually solve this crossword puzzle, explaining each step. So that you do not get confused, we will mark new marks in blue. |
 | First, let's see if there are lines in the crossword that should be completely filled. It turns out that there is - in our case it is the number 9 in the fourth line. Because the width of the crossword puzzle is just 9 cells, which means that all cells in this line must be painted over. At the same time, we cross out the number 9 itself so that it does not distract us. |
 | By analogy, we are looking for columns that must be completely painted over. |
 | Let's look at the third line. Let's remember a little rule that will help us a lot - if there is only one number next to a row or column and is more than half the length, then you can paint over several cells in the middle. In our case, these are the central five cells. Why? No matter how you place a group of seven cells in nine cells, the five central ones will always be painted over (to calculate this, you can subtract the value of the number from the width of the crossword puzzle - we get the number 2, which means the number of "unknown" cells on the left and right, and paint over the remaining central five cells). |
 | Now we can mark the cells with crosses (or dots), which definitely cannot be painted over. Let's take a look at the first line - it is completely guessed, since we already have one filled-in cell, and there should not be more painted cells in it. This means that all other cells are marked with crosses. Likewise in the sixth and seventh lines. Do not forget to cross out the numbers in the solved lines. |
 | In the fifth line, we have one filled cell, and since in this line, apart from single cells, there is nothing else, we can mark the cells to the left / right of the solved one with crosses. We cannot cross out the numbers, because although we guessed one number, we do not know exactly which one. The situation is similar in the eighth line. Also in the ninth line, we can say for sure that the first two cells and the last two will definitely not be painted over. Why? It's just that we have already solved one cell in this line, and the only number in this line is a three, should be part of this filled cell. |
 | Now let's look at the first column - just like in the previous step, we have only one number in this column - two, and one solved cell. Accordingly, the first two and the last four cells will definitely not be painted over. The situation is similar in the second and last four columns. |
 | You can see that there are very few empty cells left in the central five columns, even more so - their number exactly corresponds to the numbers indicated above. This means that all these cells can be painted over. |
 | Moving on to the lines, we can see that the second and last two lines have already been resolved. And in the fifth line, we can put crosses to the left and right of the solved cells, because except for single cells, this line contains nothing. |
 | Now we can see that in the fifth row there are only two free cells, just under the two remaining ones. (it is worth noting that the fifth line could be solved from the very beginning, since in nine cells there is only one possible way to arrange five single cells of the same color) |
 | Moving on to the columns, we see that the first and last columns have already been deciphered. It remains only to paint over the last cells in the second and eighth columns, and ... Congratulations! The crossword puzzle is completely solved! |