Kostomuksha and AESC MSU

A famous student of AESC MSU, as you know, comes from Kostomuksha. Kostomuksha has a popular game called Doka. The essence of Doka is as follows: You are given an array $A$ and an integer $X$. You want to calculate how many subarrays of this array have a geometric mean of $X$. Formally, calculate the number of pairs of integers $(L, R)$ such that $1 \leq L \leq R \leq N$ and $$\sqrt[R-L+1]{A_L