题目地址:POJ 1905
用二分枚举h,然后判断弧长是否符合条件。重点还是在精度问题上,具体看代码吧。。
#include <iostream>
#include <string.h>
#include <math.h>
#include <queue>
#include <algorithm>
#include <stdlib.h>
#include <map>
#include <set>
#include <stdio.h>
using namespace std;
#define LL __int64
#define pi acos(-1.0)
const int mod=9901;
const int INF=0x3f3f3f3f;
const double eqs=1e-6;
bool Judge(double f1, double f2)
{
return f2-f1>1e-4;
}
bool judge(double f1, double f2)
{
return fabs(f1-f2)<eqs;
}
double bin_search(double lenth, double L)
{
double low=0, high=L/2, mid, r;
while(Judge(low,high)){
mid=(low+high)/2;
r=(4*mid*mid+L*L)/(8*mid);
if(2*r*asin(L/(2*r)) < lenth)
low=mid;
else high=mid;
}
return mid;
}
int main()
{
double L, c, n, lenth;
while(scanf("%lf%lf%lf",&L,&c,&n)!=EOF&&L>=0){
lenth=(1+n*c)*L;
printf("%.3f\n",bin_search(lenth, L));
}
return 0;
}