The Cow Run's Solution

Problems and Contests
#1

Here is the Question link

I understand the given solution mostly But I had one Doubt

int remaining = n - (j - i);

Why would we take remaining n - (j -i) instead of n - (j - i - 1)?
Considering we assume that i and j are the current taken range’s endpoints.
Help is appreciated.

#2

Try comparing the two on some tests.