Below we will explain the rules and solving techniques for cave puzzles aka Corral or Bag puzzles.
You can go to Cave puzzle online and test your our solving tips with these puzzles.
Look for the numbers 2 and see if you can mark cells that cannot be reached by number 2. If number 2 is next to another number, then the group of number 2 is already complete.
In the example, numbers 2 and 7 on the left form the group of number 2 and on the right numbers 2 and 5 form the group of another number 2. This allows you to exclude various cells by coloring them.
If there is an empty cekk between number 2 and another number, then this cell must be colored to avoid that number 2 becomes part of a group of 3 or more cells.
If a cell with number 3 is connected to another box with a number, look in which direction extension is impossible.
If you have an empty cell between number 3 and another cell with a number, you can investigate if it is possible to connect both.
Number 3 on the right should not connect with number, otherwise the group will be too large because number 5 has a connection with number 6.
The 3 on the bottom left is already complete. It has connections with numbers 4 and 6.
Number 3 above should expand to the right to make room for number 6.
Look for cells that are so far that they cannot be reached by any number. You can color these cells. Such cells are mainly located in rows or columns with few numbers.
Study the directions of the large numbers and see if you can determine which direction is definitely needed to obtain enough cells. In our example, we examine number 9. If we go maximum to the left, up and down, then we arrive at 6 cells. We need 3 more cells. The connection to the right with number 10 is necessary.