Hey! Wanted to bring to you all the first MathDash Olympiad Contest!

The time limit is **4.5 hours** — you can take it at anytime here.

There are $$$8$$$ problems, meant to start at a level approachable to contestants at all math abilities, and end at a typical Olympiad level — with the last three problems meant to match the difficulty of the International Math Olympiad.

The question point values are $$$500, 1000, 1500, \cdots, 4000$$$. If your proof for problem 8 scores a $$$6$$$ out of $$$7$$$, you will receive $$$\text{round}(4000 \cdot \frac67) = 3429$$$ points. Ties are broken by time of last submission. You are allowed to submit as many times as you wish.

**Note**: Your submission's score is only finalized once a number shows up in your entry on the scoreboard — with no number, it is considered *pending*

We ask that you **do not discuss this contest** *except* in the Discussion chat room and forum that will be made available to you after the contest.

Think of this as a CodeForces Global Round — but for Math :)

We hope you enjoy the problems!