#include <bits/stdc++.h>
using namespace std;
const int mxN=100, mxM=2*mxN+4, MG1=1000696969;
int n, s, a[mxM], b[mxM], m;
double d[2*mxM][2*mxM], ans=6969;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> s;
for(int i=0; i<n; ++i)
cin >> a[2*i] >> b[2*i] >> a[2*i+1] >> b[2*i+1];
a[2*n]=a[2*n+1]=b[2*n]=b[2*n+3]=s;
a[2*n+2]=a[2*n+3]=b[2*n+1]=b[2*n+2]=-s;
m=2*n+4;
for(int i=0; i<2*m; ++i)
for(int j=0; j<2*m; ++j)
d[i][j]=8*s;
auto o1=[&](long long x1, long long y1, int x2, int y2) {
return x1*y2==x2*y1?0:(x1*y2>x2*y1?1:-1);
};
auto il=[&](int x1, int y1, int x2, int y2, int x3, int y3, int x4, int y4) {
int a=o1(x2-x1, y2-y1, x3-x1, y3-y1), b=o1(x2-x1, y2-y1, x4-x1, y4-y1), c=o1(x4-x3, y4-y3, x1-x3, y1-y3), d=o1(x4-x3, y4-y3, x2-x3, y2-y3);
return a&&b&&c&&d&&a!=b&&c!=d;
};
auto gc=[&](int x1, int y1, int x2, int y2) {
return il(x1, y1, x2, y2, 0, 0, MG1, 1)?o1(x1, y1, MG1, 1):0;
};
auto aa=[&](int u, int v, double e, int c) {
c&=1;
d[u][v+c*m]=min(e, d[u][v+c*m]);
d[v+c*m][u]=min(e, d[v+c*m][u]);
d[u+m][v+(1-c)*m]=min(e, d[u+m][v+(1-c)*m]);
d[v+(1-c)*m][u+m]=min(e, d[v+(1-c)*m][u+m]);
};
for(int i=0; i<n; ++i)
for(int j=i+1; j<n; ++j)
if(il(a[2*i], b[2*i], a[2*i+1], b[2*i+1], a[2*j], b[2*j], a[2*j+1], b[2*j+1]))
for(int k=0; k<4; ++k)
aa(2*i+k%2, 2*j+k/2, 0, gc(a[2*i+k%2], b[2*i+k%2], a[2*j+k/2], b[2*j+k/2]));
auto is=[&](long long x1, long long y1, int x2, int y2, int s, double &d) {
for(int i=2*n; i<2*n+2; ++i)
if(il(x1, y1, x2, y2, a[i]*s, b[i]*s, a[i+2]*s, b[i+2]*s))
return;
d=sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2))/s;
};
for(int i=0; i<m; ++i) {
for(int j=0; 2*j<m; ++j) {
double d1=8*s;
for(int k=2*j; k<2*j+2; ++k, d1=8*s) {
is(a[i], b[i], a[k], b[k], 1, d1);
if(d1<8*s)
aa(i, k, d1, gc(a[i], b[i], a[k], b[k]));
}
if(j<n) {
int bx=a[2*j+1]-a[2*j], by=b[2*j+1]-b[2*j], bm=bx*bx+by*by, adb=(a[i]-a[2*j])*bx+(b[i]-b[2*j])*by;
if(0<=adb&&adb<=bm) {
int cx=adb*bx+a[2*j]*bm, cy=adb*by+b[2*j]*bm;
is(a[i]*bm, b[i]*bm, cx, cy, bm, d1);
if(d1<8*s)
for(int k=2*j; k<2*j+2; ++k)
aa(i, k, d1, gc(a[i]*bm, b[i]*bm, cx, cy)+gc(cx, cy, a[k]*bm, b[k]*bm));
}
}
}
}
for(int k=0; k<2*m; ++k)
for(int i=0; i<2*m; ++i)
for(int j=0; j<2*m; ++j)
d[i][j]=min(d[i][k]+d[k][j], d[i][j]);
for(int i=0; i<m; ++i)
ans=min(d[i][i+m], ans);
cout << fixed << setprecision(9) << ans;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
508 KB |
Output is correct |
| 3 |
Correct |
2 ms |
508 KB |
Output is correct |
| 4 |
Correct |
2 ms |
508 KB |
Output is correct |
| 5 |
Correct |
2 ms |
584 KB |
Output is correct |
| 6 |
Correct |
2 ms |
584 KB |
Output is correct |
| 7 |
Correct |
2 ms |
644 KB |
Output is correct |
| 8 |
Correct |
2 ms |
644 KB |
Output is correct |
| 9 |
Correct |
2 ms |
644 KB |
Output is correct |
| 10 |
Correct |
2 ms |
644 KB |
Output is correct |
| 11 |
Correct |
2 ms |
676 KB |
Output is correct |
| 12 |
Correct |
2 ms |
676 KB |
Output is correct |
| 13 |
Correct |
2 ms |
676 KB |
Output is correct |
| 14 |
Correct |
2 ms |
676 KB |
Output is correct |
| 15 |
Correct |
2 ms |
676 KB |
Output is correct |
| 16 |
Correct |
2 ms |
676 KB |
Output is correct |
| 17 |
Correct |
2 ms |
676 KB |
Output is correct |
| 18 |
Correct |
2 ms |
676 KB |
Output is correct |
| 19 |
Correct |
2 ms |
676 KB |
Output is correct |
| 20 |
Correct |
3 ms |
676 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
508 KB |
Output is correct |
| 3 |
Correct |
2 ms |
508 KB |
Output is correct |
| 4 |
Correct |
2 ms |
508 KB |
Output is correct |
| 5 |
Correct |
2 ms |
584 KB |
Output is correct |
| 6 |
Correct |
2 ms |
584 KB |
Output is correct |
| 7 |
Correct |
2 ms |
644 KB |
Output is correct |
| 8 |
Correct |
2 ms |
644 KB |
Output is correct |
| 9 |
Correct |
2 ms |
644 KB |
Output is correct |
| 10 |
Correct |
2 ms |
644 KB |
Output is correct |
| 11 |
Correct |
2 ms |
676 KB |
Output is correct |
| 12 |
Correct |
2 ms |
676 KB |
Output is correct |
| 13 |
Correct |
2 ms |
676 KB |
Output is correct |
| 14 |
Correct |
2 ms |
676 KB |
Output is correct |
| 15 |
Correct |
2 ms |
676 KB |
Output is correct |
| 16 |
Correct |
2 ms |
676 KB |
Output is correct |
| 17 |
Correct |
2 ms |
676 KB |
Output is correct |
| 18 |
Correct |
2 ms |
676 KB |
Output is correct |
| 19 |
Correct |
2 ms |
676 KB |
Output is correct |
| 20 |
Correct |
3 ms |
676 KB |
Output is correct |
| 21 |
Correct |
2 ms |
676 KB |
Output is correct |
| 22 |
Correct |
2 ms |
676 KB |
Output is correct |
| 23 |
Correct |
2 ms |
676 KB |
Output is correct |
| 24 |
Correct |
2 ms |
676 KB |
Output is correct |
| 25 |
Correct |
2 ms |
676 KB |
Output is correct |
| 26 |
Correct |
2 ms |
748 KB |
Output is correct |
| 27 |
Correct |
2 ms |
748 KB |
Output is correct |
| 28 |
Correct |
2 ms |
748 KB |
Output is correct |
| 29 |
Correct |
2 ms |
748 KB |
Output is correct |
| 30 |
Correct |
2 ms |
748 KB |
Output is correct |
| 31 |
Correct |
2 ms |
748 KB |
Output is correct |
| 32 |
Correct |
2 ms |
748 KB |
Output is correct |
| 33 |
Correct |
2 ms |
748 KB |
Output is correct |
| 34 |
Correct |
2 ms |
748 KB |
Output is correct |
| 35 |
Correct |
2 ms |
748 KB |
Output is correct |
| 36 |
Correct |
2 ms |
748 KB |
Output is correct |
| 37 |
Correct |
2 ms |
748 KB |
Output is correct |
| 38 |
Correct |
2 ms |
748 KB |
Output is correct |
| 39 |
Correct |
2 ms |
748 KB |
Output is correct |
| 40 |
Correct |
2 ms |
748 KB |
Output is correct |
| 41 |
Correct |
2 ms |
748 KB |
Output is correct |
| 42 |
Correct |
2 ms |
748 KB |
Output is correct |
| 43 |
Correct |
2 ms |
748 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
Output is correct |
| 2 |
Correct |
2 ms |
508 KB |
Output is correct |
| 3 |
Correct |
2 ms |
508 KB |
Output is correct |
| 4 |
Correct |
2 ms |
508 KB |
Output is correct |
| 5 |
Correct |
2 ms |
584 KB |
Output is correct |
| 6 |
Correct |
2 ms |
584 KB |
Output is correct |
| 7 |
Correct |
2 ms |
644 KB |
Output is correct |
| 8 |
Correct |
2 ms |
644 KB |
Output is correct |
| 9 |
Correct |
2 ms |
644 KB |
Output is correct |
| 10 |
Correct |
2 ms |
644 KB |
Output is correct |
| 11 |
Correct |
2 ms |
676 KB |
Output is correct |
| 12 |
Correct |
2 ms |
676 KB |
Output is correct |
| 13 |
Correct |
2 ms |
676 KB |
Output is correct |
| 14 |
Correct |
2 ms |
676 KB |
Output is correct |
| 15 |
Correct |
2 ms |
676 KB |
Output is correct |
| 16 |
Correct |
2 ms |
676 KB |
Output is correct |
| 17 |
Correct |
2 ms |
676 KB |
Output is correct |
| 18 |
Correct |
2 ms |
676 KB |
Output is correct |
| 19 |
Correct |
2 ms |
676 KB |
Output is correct |
| 20 |
Correct |
3 ms |
676 KB |
Output is correct |
| 21 |
Correct |
2 ms |
676 KB |
Output is correct |
| 22 |
Correct |
2 ms |
676 KB |
Output is correct |
| 23 |
Correct |
2 ms |
676 KB |
Output is correct |
| 24 |
Correct |
2 ms |
676 KB |
Output is correct |
| 25 |
Correct |
2 ms |
676 KB |
Output is correct |
| 26 |
Correct |
2 ms |
748 KB |
Output is correct |
| 27 |
Correct |
2 ms |
748 KB |
Output is correct |
| 28 |
Correct |
2 ms |
748 KB |
Output is correct |
| 29 |
Correct |
2 ms |
748 KB |
Output is correct |
| 30 |
Correct |
2 ms |
748 KB |
Output is correct |
| 31 |
Correct |
2 ms |
748 KB |
Output is correct |
| 32 |
Correct |
2 ms |
748 KB |
Output is correct |
| 33 |
Correct |
2 ms |
748 KB |
Output is correct |
| 34 |
Correct |
2 ms |
748 KB |
Output is correct |
| 35 |
Correct |
2 ms |
748 KB |
Output is correct |
| 36 |
Correct |
2 ms |
748 KB |
Output is correct |
| 37 |
Correct |
2 ms |
748 KB |
Output is correct |
| 38 |
Correct |
2 ms |
748 KB |
Output is correct |
| 39 |
Correct |
2 ms |
748 KB |
Output is correct |
| 40 |
Correct |
2 ms |
748 KB |
Output is correct |
| 41 |
Correct |
2 ms |
748 KB |
Output is correct |
| 42 |
Correct |
2 ms |
748 KB |
Output is correct |
| 43 |
Correct |
2 ms |
748 KB |
Output is correct |
| 44 |
Correct |
71 ms |
1944 KB |
Output is correct |
| 45 |
Correct |
77 ms |
1944 KB |
Output is correct |
| 46 |
Correct |
73 ms |
1944 KB |
Output is correct |
| 47 |
Correct |
72 ms |
1944 KB |
Output is correct |
| 48 |
Correct |
74 ms |
1944 KB |
Output is correct |
| 49 |
Correct |
73 ms |
1944 KB |
Output is correct |
| 50 |
Correct |
100 ms |
1944 KB |
Output is correct |
| 51 |
Correct |
74 ms |
1944 KB |
Output is correct |
| 52 |
Correct |
71 ms |
1944 KB |
Output is correct |
| 53 |
Correct |
72 ms |
1944 KB |
Output is correct |
| 54 |
Correct |
74 ms |
1944 KB |
Output is correct |
| 55 |
Correct |
74 ms |
1944 KB |
Output is correct |
| 56 |
Correct |
75 ms |
1984 KB |
Output is correct |
| 57 |
Correct |
74 ms |
1984 KB |
Output is correct |
| 58 |
Correct |
74 ms |
1984 KB |
Output is correct |
| 59 |
Correct |
74 ms |
1984 KB |
Output is correct |
| 60 |
Correct |
73 ms |
1984 KB |
Output is correct |
| 61 |
Correct |
75 ms |
1984 KB |
Output is correct |
| 62 |
Correct |
3 ms |
1984 KB |
Output is correct |
| 63 |
Correct |
2 ms |
1984 KB |
Output is correct |
| 64 |
Correct |
66 ms |
1984 KB |
Output is correct |
| 65 |
Correct |
72 ms |
1984 KB |
Output is correct |
| 66 |
Correct |
66 ms |
1984 KB |
Output is correct |
| 67 |
Correct |
78 ms |
1984 KB |
Output is correct |
| 68 |
Correct |
64 ms |
1984 KB |
Output is correct |
| 69 |
Correct |
72 ms |
1984 KB |
Output is correct |
| 70 |
Correct |
62 ms |
1984 KB |
Output is correct |
| 71 |
Correct |
69 ms |
1984 KB |
Output is correct |
| 72 |
Correct |
73 ms |
1984 KB |
Output is correct |
