A Tasty Morsel
Baloo, the easygoing brown bear, who instructs the wolf cubs in the Law of the Jungle, roams freely as he feeds only on nuts, honey, and roots.
This story unfolds when Baloo was teaching Mowgli the Law of the Jungle. The dignified brown bear was impressed with Mowgli's skills, as wolf cubs typically learn only what is essential for their Pack and tribe from the Law of the Jungle. However, Mowgli, being a human child, needed to grasp much more.
During geometry lessons, Baloo sketched a coordinate grid in the valley. At the heart of the valley, at point A with coordinates (0, 0), stood a tree where the wolf cubs gathered for their lessons. Baloo positioned himself at point D with integer coordinates (a, b), while a juicy piece of meat was cleverly concealed at point E with integer coordinates (x, y). It was known to all the pupils that the area of triangle EDA was minimized, yet despite searching the entire valley, only Mowgli could swiftly pinpoint the location of the delicious treat.
How did he manage to do it?
Input
Two integers a and b (-10^9 ≤ a, b ≤ 10^9).
Output
Print the minimum possible area of triangle EDA with one decimal place.