Sets of squares
(1) FIND the set of perfect squares that between them use each of the digits 1 to 9 exactly once whose sum is as small as possible. What is the sum of your set of squares?
(2) Find the set of perfect squares that between them use each of the digits 0 to 9 exactly once whose sum is as small as possible. Note: 0 must be used as a digit in a square, not as a square by itself and not as a leading digit. What is the sum of your set of squares?
£15 will be awarded to the sender of the first correct answer opened on 3 December. The Editor’s decision is final. Please send entries to Enigma 1518, ¿ìè¶ÌÊÓÆµ, Lacon House, 84 Theobald’s Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address). The winner of Enigma 1512 is John Cooke of Reading, Berkshire, UK.
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Answer to 1512 All square