2628: Math Problem - 1

Here has an function:

f(x) = | a*x³ + b*x² + c*x + d | (L <= x <= R)

Please figure out the maximum result of f(x).

Multiple test cases(less than 100). For each test case, there will be only 1 line contains 6 numbers a, b, c, d, L and R. (-10 <= a,b,c,d <= 10, -100 <= L <= R <= 100)(−10≤a,b,c,d≤10,−100≤L≤R≤100)

For each test case, print the answer that was rounded to 2 digits after decimal point in 1 line.

1.00 2.00 3.00 4.00 5.00 6.00

310.00