Enigma 1384: Power grid
12 October 2013
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From New Scientist #2544, 25th March 2006
I have drawn a grid of five rows of nine boxes and have placed in each box a digit so that each digit occurs its own number of times (e.g. 4 occurs four times). The digits in one row form a number which is a fourth power, and another row contains only two different digits and is divisible by 33. Two other rows between them contain all the digits and are both fifth powers.
In ascending order, what are the nine digits occupying the remaining row?