Sudoku with 5 magic squares

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Fill in the grid so that every row, every column, and every 3 x 3 box contains the digits 1 through 9. The 4 colored areas mark magic squares, i. e., the sums of any row, any column and both main diagonals in these areas are always the same.

If you have found it you can find an additional magic square.

There is only one solution. You can find it by logic.

Sudoku with 5 magic squares

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