BERBA

문제

How many ways can the following inequality be satisfied if the question marks are replaced by positive integers? 

\[\frac{A_1}{A_2} < \frac{?}{B} < \frac{?}{C} < \frac{?}{D} < \frac{E_1}{E_2}\]

입력

The first line contains three integers B, C and D (1 ≤ B, C, D ≤ 1000). 

The second line contains two integers A₁ and A₂ (1 ≤ A₁, A₂ ≤ 1000). 

The third line contains two integers E₁ and E₂ (1 ≤ E₁, E₂ ≤ 1000). 

출력

Output the number of ways to satisfy the inequality. 

힌트

In the third example, the three ways to satisfy the inequality are:

\[\frac{14}{5} < \frac{3}{1} < \frac{28}{9} < \frac{22}{7} < \frac{10}{3}\]\[\frac{14}{5} < \frac{3}{1} < \frac{28}{9} < \frac{23}{7} < \frac{10}{3}\]\[\frac{14}{5} < \frac{3}{1} < \frac{29}{9} < \frac{23}{7} < \frac{10}{3}\]

3 2 4
2 7
4 5

1

5 5 5
999 1
1000 1

4

1 9 7
14 5
10 3

3