1232312213

its 14

Here, we use a bit of imagination and let $s$ stand for the sum of the $x$ and $y$ coordinates of the grasshopper's current location. Initially, $s = 0$. After the first move, the grasshopper is at $(3,4)$, so $s = 7$. The next move adds either $(3,3)$ or...

from AOPS website