This winter is so cold in Nvodsk! A group of $*n*$ friends decided to buy $*k*$ bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has $*l*$ milliliters of the drink. Also they bought $*c*$ limes and cut each of them into $*d*$ slices. After that they found $*p*$ grams of salt.

To make a toast, each friend needs $*nl*$ milliliters of the drink, a slice of lime and $*np*$ grams of salt. The friends want to make as many toasts as they can, provided they all drink the same amount. How many toasts can each friend make?

Input

The first and only line contains positive integers $*n*$, $*k*$, $*l*$, $*c*$, $*d*$, $*p*$, $*nl*$, $*np*$, not exceeding $1000$ and no less than $1$. The numbers are separated by exactly one space.

Output

Print a single integer — the number of toasts each friend can make.

Note

A comment to the first sample:

Overall the friends have $4 * 5 = 20$ milliliters of the drink, it is enough to make $20 / 3 = 6$ toasts. The limes are enough for $10 * 8 = 80$ toasts and the salt is enough for $100 / 1 = 100$ toasts. However, there are 3 friends in the group, so the answer is $*min*(6, 80, 100) / 3 = 2$.