## Goal

Ataria lives on a **toroidal map** known as the Mystic Rectangle, where **opposite edges** of the map are **connected**. Crossing an edge teleports her to the opposite side. Ataria can move in any of the four **cardinal** directions or along the four **diagonals** of 45 degrees.

Given Ataria's coordinates and the coordinates of the goal, find the fastest `time` for her to reach the goal, assuming no obstacles.

Moving East or West ±1 unit in `x` takes 0.3 seconds.

Moving North or South ±1 unit in `y` takes 0.4 seconds.

It takes 0.5 seconds to move diagonally, 1 unit East/West plus 1 unit North/South.

After travelling for **1 minute** in any single cardinal direction (that is, 200 units East/West, or 150 units North/South), she ends up returning to the same place.

**Example**

Suppose Ataria starts near the top of the map and travels diagonally 15 units NorthEast and then straight 5 units due North. In doing so, she **wraps around** to the bottom of the map, arriving at the goal. Then at 9.5 seconds, this direct route makes the best `time` to the goal.
Input

**Line 1:** Two space separated integers `x` and `y` for the current position

**Line 2:** Two space separated integers `u` and `v` for the location of the goal

Output

**Line 1:** The decimal `time` to the goal in seconds, with precision of tenths

Constraints

0 ≤ `x`, `u` < 200

0 ≤ `y`, `v` < 150