Angel musicians are an integral part of Erzgebirgian Christmas traditions. In many homes there is a cloud with such wooden angels. Here is a puzzle with domino stones on which Christmas angels can be seen. The domino pieces shown at the bottom have been arranged to form a rectangle. After that the borderlines between the pieces have been removed. Reconstruct the missing lines so that every domino piece exists exactly once in the grid.

Draw a closed loop into the diagram, that goes through every field exactly once. The line passes from every center of a field to the center of the next field. In a field with a circle the line has to bent 90°. Additionally, when following the line, between two circles, the line bents exactly once 90°.

Example:

Puzzle:

Fill in the grid so that the grid contains the digits 1 through 9. Digits in the outside equal the sum of the three numbers of the corresponding row or column.

Fill in the grid so that every row/column contains all the numbers from 1 to the length of that particular row/column. The sum of the digits within each sub-region is equal to the specified number. No digits can be repeated in any cage.

Fill in the grid so that every row, every column, and every 5x2 box contains the digits 1 through 4. Each row, column, and 5x2 box contains one 1, two 2's, three 3's and four 4's. Orthogonally adjazent cells must have different digits.

Fill in the grid so that every row, every column, and every 5x2 box contains the digits 1 through 4. Each row, column, and 5x2 box contains one 1, two 2's, three 3's and four 4's. Orthogonally adjazent cells must have different digits.

Fill in the grid so that every row, every column, and every 3x2 box contains the digits 1 through 3. Each row, column, and 3x2 box contains one 1, two 2's, and three 3's.

Fill in the grid so that every row, every column, and every 3x3 box contains the digits 1, 2 and 6. Each row, column, and 3x3 box contains one 1, two 2's and six 6's.

Fill in the grid so that every row/column contains all the numbers from 1 to the length of that particular row/column.