SOLVE

LATER

Divisor Queries.

Problem

Editorial

Analytics

Consider the Function:

$$ F(X) $$ = Number of Divisors of Integer $$'X'$$

You have been given an array consisting of $$N$$ integers and $$M$$ queries .There can be only 1 type of query i.e :

$$query(l,r)$$ : You need to find product of all number in the range from $$l$$ to $$r$$ inclusive and then output the result of function $$F(X)$$ mod $$10^9 +7 $$ for that product.

**Input Format**:

The first line contains 2 integers $$N$$ and $$M$$ denoting the number of array elements and the number of queries The next line contains $$N$$ numbers denoting the elements of the array .

Each of the next M lines contains 2 integers $$l$$ and $$r$$ for whom the query needs to be answered.

**Output Format**:

For each query you need to print a single number denoting the answer to that query mod $$10^9 +7$$

**Constraints**:

$$ 1\le N \le 5*10^5 $$

$$1 \le M \le 4*10^5 $$

$$ 1 \le l \le r \le N $$

$$ 1 \le a[i] \le 10 $$

**Note**: Each element of the array shall not have a value greater than 10.

Explanation

For the 1st query, the product is 2 , F(2)=2. For the second query , product=720 , F(720)=30.

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

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