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Not a perfect square

Source: Cono Sur 1994-problem 1

June 1, 2006
algebra unsolvedalgebra

Problem Statement

The positive integrer number nn has 19941994 digits. 1414 of its digits are 00's and the number of times that the other digits: 1,2,3,4,5,6,7,8,91, 2, 3, 4, 5, 6, 7, 8, 9 appear are in proportion 1:2:3:4:5:6:7:8:91: 2: 3: 4: 5: 6: 7: 8: 9, respectively. Prove that nn is not a perfect square.
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