The numbers 1 up to 16 must be placed in the circles of the square depicted below, in such a way that the sum of the numbers in each row, column, and diagonal amounts to 34. How should the numbers be arranged in the square?

Each empty white square in the grid contains one of the numbers 1, 2, 3,..., 8. Each of the horizontal and vertical equations must be true and each number must be used exactly once.

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