Fill in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. The sum of the digits within each sub-region is equal to the specified number. No digits can be repeated in any cage.

Every bold outlined section must contain the consecutive integers from 1 to the quantity of cells in that section inclusive.

If two identical numbers appear in the same row or column, at least that many cells with other numbers must separate them. For example, two cells both containing '1' may not be orthogonally adjacent, but must have at least one cell between them with a different number. Two cells marked '2' in the same row or column must have at least two cells with other numbers between them in that row or column, and so on.

Every bold outlined section must contain the consecutive integers from 1 to the quantity of cells in that section inclusive.

If two identical numbers appear in the same row or column, at least that many cells with other numbers must separate them. For example, two cells both containing '1' may not be orthogonally adjacent, but must have at least one cell between them with a different number. Two cells marked '2' in the same row or column must have at least two cells with other numbers between them in that row or column, and so on.

Divide the grid into rectangular and square pieces such that each piece contains exactly one number, that each cell is part of one piece and that number represents the sum
of the width and height of the rectangle.

Example:

Puzzle:

Divide the grid into areas of 4 cells and fill the cells with the numbers 1 through 4 such that each if you read from the top to the bottom and from the left to the right in each area is each number and these numbers have the order 1 - 2 - 3 - 4.

Example:

Puzzle:

Fill in the grid so that every row, every column, 3x3 box and both diagonals contain the digits 1 through 9. The same digits can not touch each other diagonally.

Divide the grid into rectangular and square pieces of at least 2 cells. Additional fill digits in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. The arrows show which cell is part of the rectangle with the greater number of cells. In every piece is exactly one number and this is the sum of the digits in this piece. In pieces no number is repeated.

Example with the digits 1 through 6:

Puzzle:

Divide the grid into rectangular and square pieces. The greater less signs show which area cell is part of the rectangle with the greater number of cells.

Example:

Puzzle:

Fill the grid with the digits 1 to 9. Each row, column and 3x3-box has exactly one of each digit. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors.

Fill the grid with the digits 1 to 9. Each row, column and 3x3-box has exactly one of each digit. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors.