Cyy and Fzz are Han Move lovers. One day, they gather together to run. They choose a circular track whose length is L m. Cyy’s speed is A m/s and Fzz’s speed is B m/s. They may choose the direction separately, i.e. they may start with the same direction or different direction. As they’re crazy, they’ll run infinitely. Gatevin, their friend, wonders the possibility of their distance is less than D m. The distance is defined as the distance on the track. The possibility is defined as the ratio between the sum of time satisfying the condition and the total time.
Input
The input file consists of multiple test cases ( around 1000000 ). Each test case consists of 5 integers L, A, B, D, Dir in a line. The meanings of L, A, B, D are as described above. Dir means whether they are in the same direction. Dir = 1 means they are in the same direction, while Dir = 0 means they are in the opposite direction. ( 1 <= L, A, B, D <= 32768, 0 <= Dir <= 1 )
Output
For each test case, output the possibility rounded to 6 demical places in a line.
