time limit per test: 0.25 sec. memory limit per test: 4096 KB

input: standard input output: standard output

Petya is well-known with his famous cabbage patties. Petya's birthday will come very soon, and he wants to invite as many guests as possible. But the boy wants everybody to try his specialty of the house. That's why he needs to know the number of the patties he can cook using the stocked ingredients. Petya has P grams of flour, M milliliters of milk and C grams of cabbage. He has plenty of other ingredients. Petya knows that he needs K grams of flour, R milliliters of milk and V grams of cabbage to cook one patty. Please, help Petya calculate the maximum number of patties he can cook.

Input

The input file contains integer numbers P, M, C, K, R and V, separated by spaces and/or line breaks (1 <= P, M, C, K, R, V <= 10000).

Output

Output the maximum number of patties Petya can cook.

Sample test(s)

Input

3000 1000 500 30 15 60

Output

8

Author:

Andrew V. Lazarev

Resource:

ACM International Collegiate Programming Contest 2003-2004 North-Eastern European Region, Southern Subregion