3458: Yaroslav and Divisors
[Creator : ]
Description
time limit per test
2 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputYaroslav has an array p=p1,p2,...,pn (1≤pi≤n), consisting of n distinct integers. Also, he has m queries:
- Query number i is represented as a pair of integers li, ri (1≤li≤ri≤n).
- The answer to the query li,ri is the number of pairs of integers q, w (li≤q,w≤ri) such that pq is the divisor of pw.
Help Yaroslav, answer all his queries.
Input
The first line contains the integers n and m (1≤n,m≤2·105). The second line contains n distinct integers p1,p2,...,pn (1≤pi≤n). The following m lines contain Yaroslav's queries. The i-th line contains integers li,ri (1≤li≤ri≤n).
Output
Print m integers − the answers to Yaroslav's queries in the order they appear in the input.
Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
1 1
1
1 1
Output
1
Input
10 9
1 2 3 4 5 6 7 8 9 10
1 10
2 9
3 8
4 7
5 6
2 2
9 10
5 10
4 10
Output
27
14
8
4
2
1
2
7
9