# Bonus Puzzler

#1

The last puzzler of the season was about the couple trying to get a free meal at a restaurant, claiming it was their wedding anniversary.

For bonus points: If the same thing happened 100 years earlier, in 1914 instead of 2014, would the result be the same?

#2

I looked at the http://www.cartalk.com/content/puzzlers#lastweekspuzzler and did not see that puzzle. What were the details of the puzzle?

#3

From the archives:

http://www.cartalk.com/content/free-anniversary-dinner-0?question

#4

It’s the 7.3.2014 show’s puzzler. Click above on “our show”, then “puzzler”, then “archives” (for 2014).

Note: You might be confused b/c there’s puzzlers posted after that date on the website, but those were not recently broadcast. They’re for listeners who want to do a puzzler once week even if the “Puzzler” doesn’t appear on the show during the summer.

#5

Answer: It wouldn’t work in 1914 because 1900 wasn’t a leap year.

#6

That’s true because a centennial year must be divisible by 400.

#7

For double bonus points: If the same thing happened in 1914 in St. Petersburg, Russia, would the result be the same?

#8

Thu 7/23/1885; Fri 7/23/1886 (+28 years) = Thu 7/23/1914; Wed 7/23/2014

• Microsoft Outlook Calendar

#9

You are right @insightful and @missileman , and as verified by @ArlHtsMelissa‌ . For the repeat to work, all years evenly divided by four in the time interval of interest must be a leap year. But the way the calendar works to keep the seasons matching to the months, years ending in “00” – centennial years – are only a leap year if they are evenly divisible by 400. 2000 is. 1900 isn’t.

Good job everybody!

#10

" years ending in “00” are only a leap year if they are evenly divisible by 400."

So are the years 4000, 8000, etc. leap years? (Look before you jump!)

#11

True, it may be a little out of sync by then, but I’m not doing much worrying about it … lol …

#12

For triple bonus points: Why won’t the calendar ever get out of sync again?

Edit: Trick question; @Mechaniker gives a clue.