153 pebbles in a pile

Submitted by Cosmologicon 6 years, 7 months ago

You start with one pile comprising 153 pebbles. Every minute starting at 12:00, you remove one pebble from every existing pile and make a new pile out of them.

At 12:00, you have two piles, of size 152 and 1.

At 12:01, you have two piles, of size 151 and 2.

At 12:02, you have three piles, of size 150, 1, and 2.

At 12:03, you have three piles, of size 149, 1, and 3.

And so on.

How many piles do you have at 11:59 (i.e. the 720th minute)?

Attempt Info

  • Correct Attempts: 19
  • Incorrect Attempts: 25
  • Ungraded Attempts: 3
  • Total Attempts: 47

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