Donut Hole

Problem

You brought a flat, holeless donut with a $W$ horizontal $H$ vertical $H$ rectangle for ACPC. Place this donut on the $2$ dimension plane coordinate $(0,0)$ with the center of the donut so that the side of length H and the $y$ axis are parallel.

On the ACPC $1$ day you ate a donut that was in the range of $w$ vertical $h$ centered on the coordinates ($x$, $y$). If you want to eat the same amount on the $2$ and $3$ days, divide the donut by a straight line passing through the coordinates $(0,0)$, and the sum of the donut areas in the area on one side of the straight line is on the other side I want it to be equal to the sum of the donut areas in the area of.

Find one slope of such a straight line.

Constraints

The input satisfies the following conditions.

• $1 \ lt h \ lt H \ lt 10 ^ 6$
• $1 \ lt w \ lt W \ lt 10 ^ 6$
• $1 \ le y \ le (h / 2 + H-1)-H / 2$
• $1 \ le x \ le (w / 2 + W-1)-W / 2$
• $W$, $H$, $w$, $h$ are even numbers

Input

The input is given in the following format.

$W$ $H$ $w$ $h$ $x$ $y$

Output

Output the slope of a straight line in one line. If the absolute error or relative error is $10 ^ {-6}$ or less, the answer is correct.

Examples

Input

6000 5000 20 10 400 300

Output

0.75

Input

10 10 8 8 8 8

Output

1

inputFormat

input satisfies the following conditions.

• $1 \ lt h \ lt H \ lt 10 ^ 6$
• $1 \ lt w \ lt W \ lt 10 ^ 6$
• $1 \ le y \ le (h / 2 + H-1)-H / 2$
• $1 \ le x \ le (w / 2 + W-1)-W / 2$
• $W$, $H$, $w$, $h$ are even numbers

Input

The input is given in the following format.

$W$ $H$ $w$ $h$ $x$ $y$

outputFormat

Output

Output the slope of a straight line in one line. If the absolute error or relative error is $10 ^ {-6}$ or less, the answer is correct.

Examples

Input

6000 5000 20 10 400 300

Output

0.75

Input

10 10 8 8 8 8

Output

1

样例

6000 5000 20 10 400 300

0.75