This system has some flaws in a multi-person household. My wife would turn off the light, thinking she had turned it on—or she'd leave it on, thinking I had turned it on when I hadn't. Communication is hard!
But my wife loves making systems, so she hung a card by the light switch that I could flip over to signal that the light was lit on purpose. She labeled the sides of this card in a non-straightforward (yet curiously logical) manner, using two rubber stamps from my voluminous collection. Which two, and which means what?
Hint
No. 5 isn't one of them. That's just bait.
BONUS: Identify the people associated with the smallest and largest values (which are 31 and 4452).
The shortest- and longest-serving Presidents were William Henry Harrison and FDR.
Credit for the concept of this puzzle goes to Robert Hayden.
Solution
There were a few ways to figure this out. The spikes are at 1500 and 2900 days, which work out to about 4 and 8 years... and if you count the dots, there are 45 of them. These are the lengths of time former U. S. Presidents were in office. Maybe you can guess what was on my mind yesterday.
Congratulations to yesterday's solvers Jason, Kate, Dr. Yetman, Mr. Gregg, and Hazel. Go Team Grown-Ups! Thanks to everybody who made a guess!
Ten years later, Dr. Shapiro revived Puzzle of the Day at Proof School, writing each day's puzzle on a name tag. After 600 puzzles or so, he was just starting to feel normal about students reading his chest all the time when campus closed and the puzzle, like the rest of our lives, moved online. New puzzles are posted daily on school days.
Want to catch up on old PotDs? There's an archive currently containing puzzles from March to December 2020.