# Brilliant and Problem Solving Streaks

Algebra Level 3

Brilliant has a feature that records the number of consecutive days that a certain user has been solving problems. This is called the problem solving streak. The problem solving streak for a user is shown next to a small fire icon, as shown above.

Suppose a user on Brilliant starts solving problems on January $$1, 2015$$ and gains a problem solving streak of $$2015$$ days. Let $$A$$ represent the date on which this user last solves problems, based on the streak. Let $$M, D,$$ and $$Y$$ be the positive integers that represent the month, day, and year, respectively, of $$A.$$

Given that there are $$181$$ days between January $$1$$ and June $$30$$, inclusive, of a leap year, calculate $$M + D + Y.$$

(As an example, if the date in question were March $$24, 2010,$$ or $$03/24/2010,$$ $$M = 3, D = 24,$$ and $$Y = 2010.$$)

×