Ladies and Gentlemen, here it comes, from the deepest pit of hell, the LINE that divides mortals from Demigods;
A problem so hardcore, it's reputation better be unknown, so people don't quit before trying. Let me be clear, if you can solve this, you won't be a mortal anymore, you would be a DemiGod or a Goddess! Your soul would be near ultimate perfectness.
An anti-Pascal triangle is an equilateral triangular array of numbers such that, except for the numbers in the bottom row, each number is the absolute value of the difference of the two numbers immediately below it.
For example, the following array is an anti-Pascal triangle with four rows which contains every integer from 1 to 10.
4 2 6 5 7 1 8 3 10 9
Does there exist an anti-Pascal triangle with 2018 rows which contains every integer from 1 to 1 + 2 + · · · + 2018?
Side note: Note that the exact amount of int variables of the triangle is equal to the summation of every integer from 1 to n = amount of rows.