Fruits

Anatoliy has $a$ apples and $b$ pears, while Borys has $c$ apples and $d$ pears. They want to distribute these fruits to $n$ children. Each child desires $x$ apples and $y$ pears. Determine if Anatoliy and Borys can distribute the apples and pears so that each child receives the desired amount.

Input

The first line contains seven integers: $a$, $b$, $c$, $d$, $n$, $x$, $y$ ($1\le a,b,c,d,n,x,y\le 100$).

Output

Print "Yes" if Anatoliy and Borys can fulfill the children's requests, or "No" if they cannot.

You may print the answer in any case.

Examples