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A11798 | Nastya Studies Informatics

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题目描述

Today on Informatics class Nastya learned about GCD and LCM (see links below). Nastya is very intelligent, so she solved all the tasks momentarily and now suggests you to solve one of them as well.

We define a pair of integers $(a,b)$ good, if $GCD(a,b)=x$ and $LCM(a,b)=y$ , where $GCD(a,b)$ denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor) of $a$ and $b$ , and $LCM(a,b)$ denotes the [least common multiple](https://en.wikipedia.org/wiki/Least_common_multiple) of $a$ and $b$ .

You are given two integers $x$ and $y$ . You are to find the number of good pairs of integers $(a,b)$ such that $l<=a,b<=r$ . Note that pairs $(a,b)$ and $(b,a)$ are considered different if $a≠b$ .

输入格式

The only line contains four integers $l,r,x,y$ ( $1<=l<=r<=10^{9}$ , $1<=x<=y<=10^{9}$ ).

输出格式

In the only line print the only integer — the answer for the problem.

输入输出样例

输入 #1
1 2 1 2
输出 #1
2
输入 #2
1 12 1 12
输出 #2
4
输入 #3
50 100 3 30
输出 #3
0
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