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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OTHER PROBLEMS OF THIS CHALLENGE

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