The cheerful and diligent little fisherman#4790
You're a sailor, I'm a sailor,
You're a fisher, I'm a fisher,
You're on land, I'm at sea,
We won't meet at all!
Sava was in high spirits, humming a cheerful tune as he fished, because the fish were biting very actively that day...
After another successful catch, releasing the fish back into the water according to all the rules of sport fishing, he pondered an intriguing question: What path does the fish take from the moment it bites to when it's pulled out of the water near the stern?
More formally: you are given the length of the fishing rod (in meters), the casting distance (in meters), the angle described by the rod while reeling (in degrees), the reeling time (in seconds), and the line reeling speed (in m/s). While reeling, the length of the fishing line remains constant and equal to the length of the rod. Throughout the entire reeling process (the moment of casting the bait is not considered), the rod is always held in a vertical position. You need to determine the length of the fish's trajectory (in meters).
Your task is to answer the question that popped into the cheerful and clever Sava's mind.
A single line contains numbers: (the length of the fishing rod, in meters), (the casting distance, in meters), (the angle described by the rod while reeling, in degrees), (the reeling time, in seconds), (the reeling speed, in m/s). During reeling, the length of the fishing line remains constant and equal to . All input values are non-negative real numbers not exceeding 10^6.
Print a single number — the answer to the problem, with a precision of at least decimal places.
Example 1