Category: Binary Search
Solve the equation:
p × e−x + q × sin(x) + r × cos(x) + s × tan(x) + t × x2 + u = 0
where 0 ≤ x ≤ 1.
Input consists of multiple test cases and terminated by an EOF. Each test case consists of 6 integers in a single line: p, q, r, s, t and u (where 0 ≤ p, r ≤ 20 and −20 ≤ q, s, t ≤ 0). There will be maximum 2100 lines in the input file.
For each set of input, there should be a line containing the value of x, correct up to 4 decimal places, or the string "No solution", whichever is applicable.
You may assume that there is no such case that all the coefficients are 0.