#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <numeric>
#include <deque>
#include <utility>
#include <bitset>
#include <iostream>
using namespace std;
typedef long long lint;
typedef long double llf;
typedef pair<double, double> pi;
int n;
int x[50005], y[50005];
struct line{
double a, b, c;
}v[50005];
pi rotate(pi a, pi b, double q){
int dx = a.second - b.second;
int dy = b.first - a.first;
double pyth = hypot(dx, dy);
return pi(b.first + (dx / pyth) * q, b.second + (dy / pyth) * q);
}
pi cross(line p, line q){
double base = p.a * q.b - p.b * q.a;
if(fabs(base) < 1e-5) return pi(1e9, 1e9);
return pi((p.b * q.c - q.b * p.c) / base, (p.c * q.a - q.c * p.a) / base);
}
bool ccw(pi a, pi b, pi c){
double dx1 = b.first - a.first;
double dy1 = b.second - a.second;
double dx2 = c.first - a.first;
double dy2 = c.second - a.second;
return dx1 * dy2 > dy1 * dx2;
}
double func(line a, pi b){
return a.a * b.first + a.b * b.second + a.c;
}
void half_plane_intersect(vector<pi> &ret){
for(int i=0; i<n; i++){
for(int j=i+1; j<n; j++){
pi crs = cross(v[i], v[j]);
if(fabs(crs.first - 1e9) < 1e-4) continue;
bool bad = 0;
for(int k=0; k<n; k++){
if(func(v[k], crs) < -1e-4){
bad = 1;
break;
}
}
if(!bad) ret.push_back(crs);
}
}
}
bool trial(double d){
for(int i=0; i<n; i++){
int a = y[i] - y[i+1];
int b = x[i+1] - x[i];
pi loc = rotate(pi(x[i], y[i]), pi(x[i+1], y[i+1]), d);
v[i] = {1.0 * a, 1.0 * b, - a * loc.first - b * loc.second}; // ax + by + c >= 0
}
vector<pi> points;
half_plane_intersect(points);
double ret = 0;
for(int i=0; i<points.size(); i++){
for(int j=0; j<i; j++){
ret = max(ret, hypot(points[j].first - points[i].first, points[j].second - points[i].second));
}
}
return ret >= 2 * d;
}
int main(){
scanf("%d",&n);
for(int i=0; i<n; i++){
scanf("%d %d",&x[i],&y[i]);
}
x[n] = x[0], y[n] = y[0];
double s = 0, e = 1e7;
for(int i=0; i<50; i++){
double m = (s+e)/2;
if(trial(m)) s = m;
else e = m;
}
printf("%.3f",s);
}
Compilation message
2circles.cpp: In function 'bool trial(double)':
2circles.cpp:84:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0; i<points.size(); i++){
^
2circles.cpp: In function 'int main()':
2circles.cpp:93:16: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d",&n);
^
2circles.cpp:95:29: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d",&x[i],&y[i]);
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
3596 KB |
Output is correct |
2 |
Correct |
0 ms |
3596 KB |
Output is correct |
3 |
Correct |
53 ms |
3596 KB |
Output is correct |
4 |
Correct |
126 ms |
3596 KB |
Output is correct |
5 |
Execution timed out |
4000 ms |
3596 KB |
Execution timed out |
6 |
Execution timed out |
4000 ms |
3596 KB |
Execution timed out |
7 |
Execution timed out |
4000 ms |
3596 KB |
Execution timed out |
8 |
Execution timed out |
4000 ms |
3596 KB |
Execution timed out |
9 |
Execution timed out |
4000 ms |
3596 KB |
Execution timed out |
10 |
Execution timed out |
4000 ms |
3596 KB |
Execution timed out |