5815: Bear and Prime Numbers
内存限制：256 MB
时间限制：2 S
题面：传统
评测方式：文本比较
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题目描述
time limit per test
2 secondsmemory limit per test
512 megabytesinput
standard inputoutput
standard outputRecently, the bear started studying data structures and faced the following problem.
You are given a sequence of integers x1,x2,...,xn of length n and m queries, each of them is characterized by two integers li,ri. Let's introduce f(p) to represent the number of such indexes k, that xk is divisible by p. The answer to the query li,ri is the sum:
, where S(li,ri) is a set of prime numbers from segment [li,ri] (both borders are included in the segment).
Help the bear cope with the problem.
You are given a sequence of integers x1,x2,...,xn of length n and m queries, each of them is characterized by two integers li,ri. Let's introduce f(p) to represent the number of such indexes k, that xk is divisible by p. The answer to the query li,ri is the sum:
, where S(li,ri) is a set of prime numbers from segment [li,ri] (both borders are included in the segment).Help the bear cope with the problem.
Input
The first line contains integer n (1≤n≤106). The second line contains n integers x1,x2,...,xn (2≤xi≤107). The numbers are not necessarily distinct.The third line contains integer m (1≤m≤50000). Each of the following m lines contains a pair of space-separated integers, li and ri (2≤li≤ri≤2·109) − the numbers that characterize the current query.
Output
Print m integers − the answers to the queries on the order the queries appear in the input.Examples
Input
6
5 5 7 10 14 15
3
2 11
3 12
4 4
Output
9
7
0
Input
7
2 3 5 7 11 4 8
2
8 10
2 123
Output
0
7
Note
Consider the first sample. Overall, the first sample has 3 queries.- The first query l=2, r=11 comes. You need to count f(2)+f(3)+f(5)+f(7)+f(11)=2+1+4+2+0=9.
- The second query comes l=3, r=12. You need to count f(3)+f(5)+f(7)+f(11)=1+4+2+0=7.
- The third query comes l=4, r=4. As this interval has no prime numbers, then the sum equals 0.
输入样例 复制
输出样例 复制