Enigma 1210: ELITE TILE
15 August 2015
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From New Scientist #2366, 26th October 2002 [link]
You are probably familiar with the puzzle consisting of 15 sliding tiles as shown.
By sliding the tiles around you can make various arrangements and then read off each row as one long number. For example, the first row might consist of 3, 1, 8 and 13, which could be read as the palindromic number 31813.
I formed one arrangement recently in which the numbers formed by three of the four rows were palindromic and the number formed by the remaining row was exactly six times a palindrome.
What was that non-palindromic row?