Initial speed
"One of two things: either these bees are wrong, or the honey is wrong..."
(the persistent thought of Winnie-the-Pooh)
Despite the Ukrainian women's team in the 4×100 meters relay at the London Olympic Games—comprising Khrystyna Stuy, Olesya Povh, Yelyzaveta Bryzgina, and Mariya Ryemyen—performing admirably and securing bronze medals, programmer Vasya was plagued by a similar thought.
After conducting thorough experimental checks, Vasya discovered that the model he developed for the "Cruising Speed" task was not entirely accurate. His extensive observations during the training sessions of both Ukrainian athletes and sprinters from other countries revealed that some athletes accelerate at the start, while others decelerate. However, after the initial 25 meters, all athletes continue to move at a uniform speed.
Vasya explained the "slowing down" phenomenon from a physics perspective. At the start, each athlete has an initial speed gained from a powerful push-off from the starting blocks. This speed can be either less than or greater than the "cruising" speed. In the first scenario, the athlete needs to strengthen their leg muscles to enhance the push-off force. In the second scenario, the muscles are already developed, but since air resistance depends on the athlete's body contact area, this resistance increases as the athlete straightens up at the start, becoming constant only after the first 25 meters.
Pleased with his logical explanation for the varying starting speeds of athletes, Vasya decided to determine the speed of each athlete immediately after the push-off from the starting blocks.
Your task is to assist Vasya by calculating this speed, assuming that during the first 25 meters, the athlete's movement is uniformly accelerated, regardless of whether they are accelerating or decelerating.
Input
The input consists of a single line containing 2 real numbers, separated by a space, representing the athlete's times for the 100 and 200 meters distances, respectively.
Output
Output a single line with the athlete's starting speed, accurate to at least 6 decimal places.