Microwave

To prepare a meal, JOI wants to heat a piece of meat from $A$°C to $B$°C in a microwave. The meat is frozen when its temperature is below 0°C and not frozen when it is above 0°C. When the temperature is exactly 0°C, the meat may be either frozen or not frozen.

JOI assumes that the meat heats up according to the rules below and uses them to estimate how long the heating takes.

• While the meat is frozen and its temperature is below 0°C, the temperature rises by 1°C every $C$ seconds.
• While the meat is frozen and its temperature is exactly 0°C, thawing it into the not frozen state takes $D$ seconds.
• While the meat is not frozen, the temperature rises by 1°C every $E$ seconds.

Using these rules, find how many seconds it takes to heat the meat to $B$°C.

The input has five lines, each containing one integer.

• The first line contains the initial temperature $A$ of the meat. $A$ is between $-100$ and $100$ inclusive and is not 0.
• The second line contains the target temperature $B$. $B$ is between $1$ and $100$ inclusive and is greater than $A$.
• The third line contains $C$, the time needed to raise the temperature of frozen meat by 1°C.
• The fourth line contains $D$, the time needed to thaw frozen meat.
• The fifth line contains $E$, the time needed to raise the temperature of meat that is not frozen by 1°C.

$C$, $D$, and $E$ are each between $1$ and $100$ inclusive.

Print on one line the time in seconds needed to heat the meat to $B$°C.

In sample 1, the meat starts frozen at $-10$°C. The time is made up as follows.

• Heating from $-10$°C to 0°C takes $5 \times 10 = 50$ seconds.
• Thawing the meat at 0°C takes 10 seconds.
• Heating from 0°C to 20°C takes $3 \times 20 = 60$ seconds.

The total is 120 seconds.

In sample 2, the meat is not frozen at the start, so heating it from 35°C to 92°C takes 627 seconds.