AMC 10 Step by Step
2007 AMC 10BProblem 9P1-10~3 minPrint

A cryptographic code is designed as follows. The first time a letter appears in a given message it is replaced by the letter that is 11 place to its right in the alphabet (asumming that the letter AA is one place to the right of the letter ZZ ). The second time this same letter appears in the given message, it is replaced by the letter that is 1+21+2 places to the right, the third time it is replaced by the letter that is 1+2+31+2+3 places to the right, and so on. For example, with this code the word "banana" becomes "cbodqg". What letter will replace the last letter ss in the message "Lee’s sis is a Mississippi miss, Chriss!"?\text{"Lee's sis is a Mississippi miss, Chriss!"?}

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.