I hadn't seen that at the time I posted. And I had modified it by the time your response showed up. Now I've modified it again, and I think it's airtight. :-)
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Comment on Re^3: Challenge: Nearest Palindromic Number
Roy Johnson,
I tested it from N = 1 to N = 332_288 1_500_000 as well as 11_441 random numbers between 1 and 999_999_999. It provided acceptable solutions for all of them. Good job.