Friday, May 08, 2009

Palindrome Kisses

Our car almost has 100,000 miles.

This will be terrible for Palindrome Kisses. Years ago my wife and I decided it was special and deserving of a kiss when our odometer was a palindrome. They were quick kisses, unless we happened to be at a stoplight, but more kissing never hurt.

One "trick" we quickly adopted was willingness to not count the leading zero. For example, not only would 092290 count as a palindrome using all six odometer digits, but 093739 also would count (ignoring the hundred-thousands place).

Once the initial digit is non-zero we won't be able to justify ignoring it, and will lose out on all those five-digit palindromes. Maybe primes are also worthy of kisses. Or multiples of three...

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