While attending W.G.’s birthday party I reminded him that exactly one year ago I presented (double entendre) him a 15 digit number and challenged him to examine its structure and using any method to keep it in memory for another year.

“Yes, I sure remember it’s structure”, quipped he. “ Your number was composed of three 5-digit parts, each containing the same 5 distinct digits, the 1st had 4 successive digits like 1234 and additional digit, the second was like the 1st reversed and the 3rd used the same digits in a higgledy-piggledy arrangement. There were no leading zeroes, but to reconstruct the whole number I need some additional input….Otherwise there are like (paused for a minute) 1180 possible valid solutions…” “OK, I do not check this number, and I am more than happy to inform you that adding the 3 components of the 15-digit chain I got 175497.”

a. Could WG decipher my number?
b. How about you?
c. Is the 1180 correct number?

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Posted by Anonymously on 2024-02-14 08:25:38