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Find the 2000th number

Source: Indian RMO 2000 Problem 4

October 27, 2005

Problem Statement

All the 77 digit numbers containing each of the digits 1,2,3,4,5,6,71,2,3,4,5,6,7 exactly once , and not divisible by 55 are arranged in increasing order. Find the 200th200th number in the list.
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