Problem #327
My Disappointment is Immeasurable and My Day is Ruined
Compute the following summation :
Given that the answer is of the form \frac{p}{q}, where the greatest common divisor of p and q is 1, find the value of x where x \equiv p \cdot q^{-1} \text{mod } 1234567891 and 0 \leq x < 1234567891.