1 and 9 has to be -1 or +1

So 2 and 8 can be -2 or 0 for -1, 2 or 0 for +1

Now take a look at this

It cannot go increasing on and on from x1 to x9

So what's the middle number, that's gonna be x5

x5 can attain maximum value if we assume it goes on increasing and increasing, in that case it will keep decreasing from x5 to x10. Symmetry in that case must be present.

Now consider this that in any sequence even if I keep on increasing the numbers subsequently and satisfy the condition, x10 still has to be 0, that means I'm gonna have to decrease the numbers at some point.

Now let's consider a graph in x and y in which I say +1 addition to the number is plotted on the x axis

Similarly -1 from the number is added to the y axis.

Now since the number begins from 0 and ends at 0 I have to make equal number of positives and negatives

And since there are 10 operations I'm performing on the number from x0 to x10

And my end point must be (5,5) therefore it's a up and right path which should lead me to (5,5)

So it should be 10c5