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A Billion Bowling Pins

Week 5

You are casually enjoying the holidays bowling with your friend, when, out the blue, they pose the mathematical question "if I can make 1 row of pins with 1 pin, 2 rows with 3 pins, 3 rows with 6 pins and 4 rows with 10 pins...then how many rows could I make with 1 million or 1 billion pins"?

Unfortunately, maths isn't your friend's area of expertise - but you are curious to solve it and will tell them the answer next time you meet them

For example, if you only had 8 pins at your disposal, you'd only be able to make 3 full rows, since you don't have enough (10 required) to make 4 complete rows

You decide to create a program to help you answer your friend's question

Below shows 4 rows of bowling pins for reference:

Hints

Hints will be released at the start of each of the following days - e.g. the start of day 3 is 48 hours after the challenge starts

Release Day	Hint
2
5
6
7