给定一个包含 $n$ 个整数的序列 $a_i$。
令 $\text{mul}(l, r) = \prod_{i=l}^r a_i$，并令 $\text{fac}(l, r)$ 为 $\text{mul}(l, r)$ 的不同质因数个数。
请计算 $\sum_{i=1}^n \sum_{j=i}^n \text{fac}(i, j)$。
第一行包含一个整数 $n$ ($1 \le n \le 10^6$)，表示序列的长度。
第二行包含 $n$ 个整数 $a_i$ ($1 \le i \le n, 1 \le a_i \le 10^6$)，表示该序列。
输出方程的计算结果。
10 99 62 10 47 53 9 83 33 15 24
248
10 6 7 5 5 4 9 9 1 8 12
134
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