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Programming Enigma Puzzles

6 March 2013

Posted by on **From New Scientist #2615, 4th August 2007**

Harry, Tom and I each replaced each asterisk with a digit in such a way that the six-digit number that could be read down, the five-digit number that could be read from left to right and the four-digit number that could be read at an angle of 45° to each of the other two were fourth powers. We did not mind whether the four-digit number was read from bottom left to top right or from top right to bottom left.

No two of our solutions were identical, but Harry and Tom’s solutions had two fourth powers in common.

Which three fourth powers did I use in my solution?

[enigma1454]

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This Python program runs in 35ms.

Solution:You used 2401 (= 7^{4}), 20736 (= 12^{4}) and 130321 (= 19^{4}) in your solution.