Fill in all cells of the grid so that every row, every column and every 3x3 block contains the digits 1 to 9 once. Make also a dissection of the grid into rectangles, one side of length 1 and the other one of at least 2. Each rectangle contains exactly one of the small numbers. The small numbers represent the sum of the cells of their rectangles.

Fill cages in the grid so that each cell is part of exactly one cage. Additional fill digits in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. In the upper left cell of every cage is exactly one number and this is the sum of the digits in this cage. In cages no number is repeated.

One cage border is given.

Fill cages in the grid so that each cell is part of exactly one cage. Additional fill digits in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. In every cage is exactly one number and this is the sum of the digits in this cage. All cages have two or three cells. In cages no number is repeated.

Fill cages in the grid so that each cell is part of exactly one cage. Additional fill digits in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. In every cage is exactly one number and this is the sum of the digits in this cage. All cages are rectangles or squares of at least two cells. In cages no number is repeated.

Example:

Puzzle:

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: