UVa - 10341
Solve the equation:
p ∗ e ^−x + q ∗ sin(x) + r ∗ cos(x) + s ∗ tan(x) + t ∗ x ^2 + u = 0
2 + u = 0
where 0 ≤ x ≤ 1.
Input
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.
Output
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.
Sample Input
0 0 0 0 -2 1
1 0 0 0 -1 2
1 -1 1 -1 -1 1
Sample Output
0.7071
No solution
0.7554
解题思路:
直接二分从0.0000搜到1.0000,搜到就输入没搜到就返回-1;注意这个函数是递减的
二分代码:
double solve() { double low=0,high=1,mid; if(fuck(low)*fuck(high)>0) return -1; while(high-low>1e-8) { mid = low+(high-low)/2; if(fuck(mid)<0) high=mid; else low=mid; } return low; }