Easy does it! The Smart Scholar Method

It is easy to see that the ‘givens’ in the problem are powers of 2 because 4 = 2^1, 32 = 2^5, and 512 = 2^9.

Now do you see the connection with the first magic square? The powers of 2 in the second square are the numbers in the first!

So, even without solving the square, we know d = 2^7 = 128 and f = 2^3 = 8. Therefore d + f = 128 + 8 = 136.

The magic square would be as under and the /magic product would be 2^15 = 32768.

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