In the puzzle Wolves and Goats ...

In the puzzle "Wolves and Goats", you need to draw straight lines that separate the wolves from the goats. Dots placed on certain borders allow you to turn a line 90 degrees if needed. There may also be unused, free dots.
The puzzle is solved logically by gradually finding segments that are definitely black (solid) and areas where segments cannot exist.
Let’s analyze the puzzle: https://en.grandgames.net/goats/id572963

The first and most obvious step is to draw black lines between the wolves and the goats.

If there are no dots, the line should go from edge to edge. If there are dots, the line should go at least to the dot, and then either turn or continue further. Using this rule, we can extend the lines as follows:

Since the puzzle does not allow any areas completely without goats or wolves, we cannot separate the bottom-right cell from the goat above it. Therefore, we can mark this border with a white line (right mouse button, or select the second button at the bottom). We can also extend this white line to the nearest dot.

For the goat in the middle, there is only one way to separate it from the diagonally adjacent wolf — by drawing a vertical line.

Again, using the rule that no empty areas are allowed, we can place white markings for several horizontal lines in the upper-right part of the puzzle. Near the dot, it’s not yet clear where the line will go — it might go upward, left, or right.

Continue these white lines to the edge of the grid (or to a dot), so that new clues appear for the next steps.

In the middle column, we need to somehow separate the goat from the wolf. Thanks to the white lines we’ve drawn, we can see there’s only one segment left where a black line can be placed. Draw it and extend it to the nearest dots.

We can also draw another white line, since no black line can be placed there (it would create an empty area), and also draw a black segment — since there’s no other way to separate the remaining goat from the two wolves below.

No more obvious moves are visible, but we can do a shallow analysis of areas where there are only two possible continuations to get a clue. For example, there are only two ways to separate the remaining goat from the wolf in the third column, last row. There must be a line either between the first and second columns or between the second and third. If we draw the line between 2 and 3, as shown below, then when continuing the line from the dot above, empty areas inevitably appear — either next to the goat or at the top.

Therefore, the separation can only be made between the first and second columns. If you see a more obvious continuation for this step, please share it in the comments.

Next, we separate the remaining wolf in the only possible way.

Finally, we complete the solution by extending the lines from the dots so that no empty areas are formed. The puzzle is solved!