Rules and how to solve Masyu.
Rules
  1. The square with ○● is the problem square. Draw a line segment that goes straight through the center of the problem cell and goes straight to the side, according to the following rules to create a connected loop.
  2. Line segments must not cross or branch.
  3. A vertical or horizontal straight line is always drawn on the ○ cell. The line segment must not bend on the ○ cell, but this line segment must be bent at a right angle in at least one of the adjacent cell.
  4. A line segment that extends at a right angle is always drawn on the ● cell. The line segment must bend on the ● cell, but this line must not bend on the next cell.
  5. The line segment eventually becomes a loop. It does not have multiple loops, breaks or goes out of the frame.
  6. Cell which line segment does not pass may remain. As long as the above rule is not violated, the line segment may be bent or not bent except in the problem square.


jump to Masyu problem.
Tips for solving
解くポイントはまず盤面の周囲にある○や●に注目します。最外周にある○枡では周辺に並行に線分が引け、最外周にある●枡では周辺に直行するように内側に向け中心から線分が引けます。
○や●の隣の枡にどのように線分がひかれたかも注目していきます。
また線分が袋小路に入ってしまわないように、小さな別ループが出来ないように引いて行くよう注意します。
それでは例題で説明します。
The point to solve is to pay attention to ○ and ● around the board first. At the outermost ○ cell, a line segment can be drawn parallel to the periphery, and at the outermost ● cell, a line segment can be drawn from the center toward the inside so as to go straight to the periphery.
Also pay attention to how the line segment was drawn on the cell next to ○ and ●.
Also, be careful not to create a small separate loop so that the line segment does not enter the dead end.
Let me explain with an example.
The following figure is the problem.The cell marked with ○ or ● is the problem cell.
First, notice the two ○ on the left and the ● on the right.
A straight line always passes through this ○ cell, and there is no turn on the ○ cell, so a vertical line segment passes through. On the other hand, in the case of ● cell, it is necessary to draw a line that turns at a right angle with the ● cell, so at least a line going inward is drawn. This line segment can not bend in the next square, so it will be drawn to another inner square.
ex0
The line drawn in the above explanation (light blue and blue) is the next figure.
Here, the line segment drawn from the rightmost ● cell was drawn to the center of the green frame ○ cell, but the line segment can not bend on the ○ measure, so this line segment extend to the other left side of the green frame cell.
On the other hand, the line segment drawn on the leftmost ○ cell must be bent at least on one side of the cell next to the cell, so a line segment that is bent to the right with a yellow-green frame can be drawn.
ex1
The line segment has been confirmed. (Green and yellow-green line segments) Next, pay attention to the ● cell near the center. A line drawn from a ● cell cannot bend at the next cell, so a line extending downward cannot be drawn. Therefore the line extending upward is determined.
Also, in the left direction, the line segment that has penetrated vertically has already been determined in the two cells ahead, so the line segment extending to the left can not be drawn, and the line segment in the right direction is determined.
In the purple framed ○ cell in the second cell from the bottom, the line segment penetrating in the horizontal direction is fixed to the cell above it, so the vertical line segment can not be drawn and the horizontal line segment is determined .
ex2
The purple line segment was determined in the previous explanation.
If you look at the rightmost ● cell again, to draw a downward line segment, the other line is drawn from the left to the lower cell and the length is not enough. Therefore, the upward line segment is determined.
Also, in the box with a red frame near the center, the line segment passing through the ○ cell on the right must turn, but it cannot turn upward.Therefore, turn down here.
ex3
The red line segment was decided in the previous explanation.
Attention is paid to the cell with a light blue frame when it is decided so far, and the line segment from the left side drawn to this cell can only be bent upward, so the upward line segment is drawn. Furthermore, since the upper cell is a ○ cell, it penetrates and extends to another upward cell.
In addition, the line drawn from the left to the cell with a blue frame bends downward, and then turns to the left of the board.
ex4
The light blue and blue line segments were determined in the previous explanation.
Let's pay attention to the green frame. The line segment that extends from the ○ cell on the right side has the option of turning down or extending to the left here, but if you turn down, a small loop will be created and you can not draw it.Therefore, the line extending to the left is determined.
In addition, the line segment of the cell in the yellow-green frame extends to the left as it is.
ex5
After that, if you can stretch the end of the line segment in one place and connect it, it should be completed. ex6
This is the correct solution. ex7
Next, I will introduce some patterns to solve. It's a good idea to consider why this happens.
As shown in the upper left of the following figure, if there are three ○ cells, the straight line segment whose direction is perpendicular to the arrangement are determined.(It is a red line segment)
As shown on the right, if there are two cascades of ●, the line segment will be determined in the direction of arrangement but there are no ● cascades. (Yellow-green line segment) If one ● cell and two ○ cell are lined up as shown in the lower left, the line segment is determined as shown in the figure. (Blue line segment)
ex10
As shown on the left side of the following figure, if two ● and one ○ are arranged, they can be drawn as the blue line on the right.
There are many other ways to do this.
ex11



2020.3.2 Modified
2010.6.13 First edition
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