A Tasty Morsel#1413

A Tasty Morsel

1 second

64 megabytes

Medium

Baloo, the kind brown bear, teaches the wolf cubs the Law of the Jungle as he wanders freely, feeding only on nuts, honey, and roots.

This story takes place when Baloo was teaching Mowgli the Law of the Jungle. The dignified brown bear was impressed by Mowgli's abilities, because wolf cubs usually learn from the Law only what is needed for their pack and tribe. But, as a human child, Mowgli needed to know much more.

During geometry lessons, Baloo would draw a coordinate grid in the valley. At the center of the valley, at point $A$ with coordinates $(0, 0)$ , stood a tree where the wolf cubs would gather for lessons. Baloo himself stood at point $D$ with integer coordinates $(a, b)$ , and at point $E$ with integer coordinates $(x, y)$ (x,\ y) a juicy piece of meat was carefully hidden. All the pupils knew that the area of triangle $E D A$ was as small as possible, but even after searching the whole valley, only Mowgli could always quickly find where the delicious treat was hidden.

How did he do it?

Input

Two integers $a$ and $b$ ( $- 1 0^{9} \leq a, b \leq 1 0^{9}$ -10^9 \le a,\ b \le 10^9).

Output

Print the minimal possible area of triangle $E D A$ with one decimal place.

Examples

Example 1

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(x, y)

- 1 0^{9} \leq a, b \leq 1 0^{9}