Rectangle outline Sudoku

Each of the main diagonals of this sudoku must contain the numbers 1 to 9 and each rectangle width the numbers 1 to 4.

Problem



Invented by Henry Kwok

 

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Rectangle Outline Sudoku



 

Rules of Rectangle Outline Sudoku



This Sudoku variant has two additional rules.

As usual, the object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 so that each row, each column and each box must contain all the nine different numbers 1 to 9 irrespective of order.

The two additional rules of the variant are as follows:

 

  1. Each of the two main diagonals of the puzzle must have the numbers 1 to 9.
  2. Within the 9x9 pattern there is a highlighted "rectangle" with its width four and length six cells respectively. Each width of the "rectangle" outline must contain all the four numbers 1 to 4. Similarly, each length of the "rectangle" must contain all the six numbers 1 to 6.