How should I explain dynamic programming to a 4-year-old?

How should I explain dynamic programming to a 4-year-old?




Writes down "1+1+1+1+1+1+1+1 =" on a sheet of paper.
"What's that equal to?"
Counting "Eight!"
Writes down another "1+" on the left.
"What about that?"
"Nine!" " How'd you know it was nine so fast?"
"You just added one more!"
"So you didn't need to recount because you remembered there were eight! Dynamic Programming is just a fancy way to say remembering stuff to save time later!"

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