# 153 pebbles in a pile

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