QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#103463 | #3184. Around the Track | PetroTarnavskyi | AC ✓ | 4ms | 3848kb | C++17 | 4.7kb | 2023-05-05 22:12:01 | 2023-05-05 22:12:01 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define FOR(i, a, b) for (int i = (a); i<(b); ++i)
#define RFOR(i, b, a) for (int i = (b)-1; i>=(a); --i)
#define MP make_pair
#define PB push_back
#define F first
#define S second
typedef long long LL;
typedef pair<int, int> PII;
typedef vector<int> VI;
const int N = 107;
const double INF = 1e47;
struct Point {
int x, y;
Point() {}
Point(int _x, int _y): x(_x), y(_y) {}
Point operator-(const Point& p) const {
return Point(x - p.x, y - p.y);
}
int operator*(const Point& p) const {
return x * p.y - p.x * y;
}
bool operator<(const Point& p) const {
return x != p.x ? x < p.x : y < p.y;
}
bool operator==(const Point& p) const {
return x == p.x && y == p.y;
}
int dot(const Point& p) const {
return x * p.x + y * p.y;
}
int d2() const {
return x * x + y * y;
}
double len() const {
return sqrt(d2());
}
};
int sign(int x) {
if (x == 0) {
return 0;
}
return x > 0 ? 1 : -1;
}
bool intersect(const Point& a, const Point& b, const Point& c, const Point& d) {
return sign((b - a) * (c - a)) * sign((b - a) * (d - a)) <= 0 &&
sign((d - c) * (a - c)) * sign((d - c) * (b - c)) < 0;
}
bool belongs(const Point& a, const Point& b, const Point& c) {
return (b - a) * (c - a) == 0 && (b - a).dot(c - a) >= 0 && (a - b).dot(c - b) >= 0;
}
int area(const vector<Point>& p) {
int res = 0;
FOR(i, 0, SZ(p) - 1) {
res += (p[i + 1] - p[0]) * (p[i] - p[0]);
}
return abs(res);
}
bool segmentInside(const vector<Point>& p, const Point& a, const Point& b, bool needStrictly) {
int i = find(ALL(p), a) - p.begin(), j = find(ALL(p), b) - p.begin();
if (((i + 1) % SZ(p) == j || (j + 1) % SZ(p) == i) && needStrictly) {
return false;
}
vector<Point> ij, ji;
for (int k = i; ; k = (k + 1) % SZ(p)) {
ij.push_back(p[k]);
if (k == j) {
break;
}
}
for (int k = j; ; k = (k + 1) % SZ(p)) {
ji.push_back(p[k]);
if (k == i) {
break;
}
}
return area(ij) + area(ji) == area(p);
}
double dist[N][N];
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout << fixed << setprecision(10);
vector<Point> p[2];
FOR(i, 0, 2) {
int n;
cin >> n;
p[i].resize(n);
for (Point& pij : p[i]) {
cin >> pij.x >> pij.y;
}
}
int iMinPoint[2] = {0, 0};
FOR(j, 0, 2) {
FOR(i, 0, SZ(p[j])) {
if (p[j][i] < p[j][iMinPoint[j]]) {
iMinPoint[j] = i;
}
}
}
vector<int> U, D;
vector<int> idxes(SZ(p[0]));
iota(ALL(idxes), 0);
sort(ALL(idxes), [&](int i, int j) {return p[0][i] < p[0][j];});
for (int j : idxes) {
while (SZ(U) > 1 && (p[0][U.back()] - p[0][U[SZ(U) - 2]]) * (p[0][j] - p[0][U[SZ(U) - 2]]) >= 0) {
U.pop_back();
}
while (SZ(D) > 1 && (p[0][D.back()] - p[0][D[SZ(D) - 2]]) * (p[0][j] - p[0][D[SZ(D) - 2]]) <= 0) {
D.pop_back();
}
U.push_back(j);
D.push_back(j);
}
vector<int> convex = D;
RFOR(j, SZ(U) - 1, 0) {
convex.push_back(U[j]);
}
assert(convex[0] == iMinPoint[0] && convex.back() == iMinPoint[0]);
double ans = 0;
FOR(i, 0, SZ(convex) - 1) {
const Point& a = p[0][convex[i]], b = p[0][convex[i + 1]];
vector<Point> points;
for (int j = convex[i]; ; j = (j + 1) % SZ(p[0])) {
points.push_back(p[0][j]);
if (j == convex[i + 1]) {
break;
}
}
int s = 0, t = SZ(points) - 1;
bool inside = false;
FOR(j, iMinPoint[1], iMinPoint[1] + SZ(p[1])) {
const Point& c = p[1][j % SZ(p[1])], d = p[1][(j + 1) % SZ(p[1])];
if (belongs(a, b, c)) {
inside = (b - a) * (d - a) > 0;
}
else {
inside ^= intersect(a, b, c, d);
}
if (inside || belongs(a, b, d)) {
points.push_back(d);
}
}
int m = SZ(points);
FOR(j, 0, m) {
dist[j][j] = 0;
FOR(k, j + 1, m) {
dist[j][k] = dist[k][j] = INF;
double len = (points[k] - points[j]).len();
bool can = true;
const Point& c = points[j], d = points[k];
FOR(it, 0, 2) {
FOR(l, 0, SZ(p[it])) {
const Point& e = p[it][l], f = p[it][(l + 1) % SZ(p[it])];
if ((d - c) * (f - e) == 0) {
continue;
}
can &= !intersect(c, d, e, f);
}
}
if (!can) {
continue;
}
if ((j <= t) ^ (k <= t)) {
dist[j][k] = dist[k][j] = len;
continue;
}
if (j <= t) {
can &= !segmentInside(p[0], c, d, true);
}
else {
can &= segmentInside(p[1], c, d, false);
}
if (can) {
dist[j][k] = dist[k][j] = len;
}
}
}
FOR(l, 0, m) {
FOR(j, 0, m) {
FOR(k, 0, m) {
dist[j][k] = min(dist[j][k], dist[j][l] + dist[k][l]);
}
}
}
ans += dist[s][t];
}
cout << ans << "\n";
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 3788kb
input:
3 1 1 2 1 1 2 3 0 0 4 0 0 4
output:
3.4142135624
result:
ok found '3.4142136', expected '3.4142136', error '0.0000000'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
5 1 1 5 1 5 5 3 3 1 5 4 0 0 6 0 6 6 0 6
output:
16.0000000000
result:
ok found '16.0000000', expected '16.0000000', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
5 1 1 5 1 5 5 3 3 1 5 5 0 0 6 0 6 6 3 4 0 6
output:
16.4721359550
result:
ok found '16.4721360', expected '16.4721360', error '0.0000000'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
5 2 2 6 2 6 6 4 4 2 6 4 0 0 8 0 8 8 0 8
output:
16.0000000000
result:
ok found '16.0000000', expected '16.0000000', error '0.0000000'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
5 2 2 6 2 6 6 4 4 2 6 5 0 0 8 0 8 8 4 5 0 8
output:
16.4721359550
result:
ok found '16.4721360', expected '16.4721360', error '0.0000000'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3644kb
input:
12 1 1 1 4 -1 4 -1 1 -4 1 -4 -1 -1 -1 -1 -4 1 -4 1 -1 4 -1 4 1 12 2 2 2 5 -2 5 -2 2 -5 2 -5 -2 -2 -2 -2 -5 2 -5 2 -2 5 -2 5 2
output:
25.8885438200
result:
ok found '25.8885438', expected '25.8885438', error '0.0000000'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3656kb
input:
8 1 1 15 1 15 7 14 7 14 2 2 2 2 7 1 7 15 0 0 16 0 16 8 13 8 12 4 11 6 10 3 9 6 8 5 7 6 6 3 5 6 4 4 3 8 0 8
output:
43.6832385059
result:
ok found '43.6832385', expected '43.6832385', error '0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
8 1 1 15 1 15 7 14 7 14 2 2 2 2 7 1 7 15 0 0 16 0 16 8 13 8 12 4 11 8 10 3 9 8 8 5 7 8 6 3 5 8 4 4 3 8 0 8
output:
43.6832385059
result:
ok found '43.6832385', expected '43.6832385', error '0.0000000'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3636kb
input:
8 1 1 15 1 15 7 14 7 14 2 2 2 2 7 1 7 15 0 0 16 0 16 8 13 8 12 4 11 7 10 3 9 7 8 5 7 7 6 3 5 7 4 4 3 8 0 8
output:
43.6832385059
result:
ok found '43.6832385', expected '43.6832385', error '0.0000000'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
12 1 1 10 1 10 6 9 6 9 2 6 2 6 4 5 4 5 2 2 2 2 6 1 6 12 0 0 11 0 11 7 8 7 8 3 7 3 7 5 4 5 4 3 3 3 3 7 0 7
output:
33.1529824451
result:
ok found '33.1529824', expected '33.1529824', error '0.0000000'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3628kb
input:
7 1 1 5 1 5 19 4 2 3 18 2 2 1 19 9 0 0 6 0 6 20 5 20 4 3 3 19 2 3 1 20 0 20
output:
102.1290318405
result:
ok found '102.1290318', expected '102.1290318', error '0.0000000'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3652kb
input:
12 1 1 12 1 12 5 11 5 11 2 8 2 8 6 7 6 7 2 2 2 2 5 1 5 16 0 0 13 0 13 9 4 9 4 4 5 4 5 8 10 8 10 3 9 3 9 7 6 7 6 3 3 3 3 6 0 6
output:
36.7966912753
result:
ok found '36.7966913', expected '36.7966913', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
12 1 1 12 1 12 5 11 5 11 2 8 2 8 6 7 6 7 2 2 2 2 5 1 5 12 0 0 13 0 13 9 4 9 4 4 5 4 5 8 6 8 6 3 3 3 3 6 0 6
output:
33.5214512633
result:
ok found '33.5214513', expected '33.5214513', error '0.0000000'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3788kb
input:
8 1 3 4 2 4 1 5 4 6 4 3 5 3 6 2 3 4 0 0 7 0 7 7 0 7
output:
14.4222051019
result:
ok found '14.4222051', expected '14.4222051', error '0.0000000'
Test #15:
score: 0
Accepted
time: 2ms
memory: 3640kb
input:
8 1 2 2 1 4 3 4 5 5 5 4 6 2 4 2 2 4 2 0 6 4 4 7 0 3
output:
12.9574173292
result:
ok found '12.9574173', expected '12.9574173', error '0.0000000'
Test #16:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
8 2 2 4 2 6 4 5 5 5 4 3 4 1 2 2 1 4 3 0 7 4 4 6 0 2
output:
12.9574173292
result:
ok found '12.9574173', expected '12.9574173', error '0.0000000'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3620kb
input:
12 1 3 4 2 9 2 9 1 10 4 10 9 11 9 8 10 3 10 3 11 2 8 2 3 4 0 3 9 0 12 9 3 12
output:
33.0451886950
result:
ok found '33.0451887', expected '33.0451887', error '0.0000000'
Test #18:
score: 0
Accepted
time: 2ms
memory: 3636kb
input:
44 21 -7 21 5 20 5 20 -6 17 -6 17 4 16 4 16 -5 13 -5 13 3 12 3 12 -4 9 -4 9 2 8 2 8 -3 5 -3 5 1 4 1 4 -2 1 -2 1 0 -1 0 -1 -2 -4 -2 -4 1 -5 1 -5 -3 -8 -3 -8 2 -9 2 -9 -4 -12 -4 -12 3 -13 3 -13 -5 -16 -5 -16 4 -17 4 -17 -6 -20 -6 -20 5 -21 5 -21 -7 44 22 -8 22 6 19 6 19 -5 18 -5 18 5 15 5 15 -4 14 -4 ...
output:
200.7120663779
result:
ok found '200.7120664', expected '200.7120664', error '0.0000000'
Test #19:
score: 0
Accepted
time: 4ms
memory: 3700kb
input:
47 23 -13 22 11 21 -12 20 10 19 -11 18 9 17 -10 16 8 15 -9 14 7 13 -8 12 6 11 -7 10 5 9 -6 8 4 7 -5 6 3 5 -4 4 2 3 -3 2 1 1 -2 0 0 -1 -2 -2 1 -3 -3 -4 2 -5 -4 -6 3 -7 -5 -8 4 -9 -6 -10 5 -11 -7 -12 6 -13 -8 -14 7 -15 -9 -16 8 -17 -10 -18 9 -19 -11 -20 10 -21 -12 -22 11 -23 -13 47 24 -14 22 12 21 -11...
output:
603.5146779550
result:
ok found '603.5146780', expected '603.5146780', error '0.0000000'
Test #20:
score: 0
Accepted
time: 2ms
memory: 3728kb
input:
8 -10 0 -10 -10 0 -10 10 -10 10 0 10 10 0 10 -10 10 8 -20 0 -20 -20 0 -20 20 -20 20 0 20 20 0 20 -20 20
output:
80.0000000000
result:
ok found '80.0000000', expected '80.0000000', error '0.0000000'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3788kb
input:
8 0 10 -10 10 -10 0 -10 -10 0 -10 10 -10 10 0 10 10 8 -20 0 -20 -20 0 -20 20 -20 20 0 20 20 0 20 -20 20
output:
80.0000000000
result:
ok found '80.0000000', expected '80.0000000', error '0.0000000'
Test #22:
score: 0
Accepted
time: 2ms
memory: 3784kb
input:
8 10 0 10 10 0 10 -10 10 -10 0 -10 -10 0 -10 10 -10 8 -20 0 -20 -20 0 -20 20 -20 20 0 20 20 0 20 -20 20
output:
80.0000000000
result:
ok found '80.0000000', expected '80.0000000', error '0.0000000'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3780kb
input:
8 0 -10 10 -10 10 0 10 10 0 10 -10 10 -10 0 -10 -10 8 -20 0 -20 -20 0 -20 20 -20 20 0 20 20 0 20 -20 20
output:
80.0000000000
result:
ok found '80.0000000', expected '80.0000000', error '0.0000000'
Test #24:
score: 0
Accepted
time: 3ms
memory: 3808kb
input:
4 -1000 -1000 0 0 1000 -1000 0 2000 50 1500 -1500 0 2500 -1500 -1500 -460 -730 -440 -720 -420 -710 -400 -700 -380 -690 -360 -680 -340 -670 -320 -660 -300 -650 -280 -640 -260 -630 -240 -620 -220 -610 -200 -600 -180 -590 -160 -580 -140 -570 -120 -560 -100 -550 -80 -540 -60 -530 -40 -520 -20 -510 0 -50...
output:
8560.6232978365
result:
ok found '8560.6232978', expected '8560.6232978', error '0.0000000'
Test #25:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
4 -1 -1 1 -1 1 1 -1 1 16 1 3 -1 3 -1 2 -2 1 -3 1 -3 -1 -2 -1 -1 -2 -1 -3 1 -3 1 -2 2 -1 3 -1 3 1 2 1 1 2
output:
8.0000000000
result:
ok found '8.0000000', expected '8.0000000', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
8 0 -1 3 -3 1 0 3 3 0 1 -3 3 -1 0 -3 -3 20 0 -2 7 -9 5 -6 6 -5 9 -7 2 0 9 7 6 5 5 6 7 9 0 2 -7 9 -5 6 -6 5 -9 7 -2 0 -9 -7 -6 -5 -5 -6 -7 -9
output:
25.2982212813
result:
ok found '25.2982213', expected '25.2982213', error '0.0000000'
Test #27:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
5 5 5 3 3 1 5 1 1 5 1 5 0 0 6 0 6 6 3 4 0 6
output:
16.4721359550
result:
ok found '16.4721360', expected '16.4721360', error '0.0000000'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3592kb
input:
12 45 45 135 45 135 108 243 108 162 45 315 45 270 225 189 225 234 117 135 117 162 225 45 108 16 0 0 138 0 138 93 143 98 148 72 211 99 155 44 342 -45 360 270 180 270 192 125 175 122 169 125 161 270 0 180 0 90
output:
1158.3531517499
result:
ok found '1158.3531517', expected '1158.3531517', error '0.0000000'
Test #29:
score: 0
Accepted
time: 1ms
memory: 3644kb
input:
4 -360 180 -297 270 -360 315 -405 225 6 -45 45 -270 270 -90 288 -90 450 -450 495 -540 135
output:
351.5425972393
result:
ok found '351.5425972', expected '351.5425972', error '0.0000000'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
49 0 -1 460 -1 460 0 450 999 440 0 430 999 420 0 410 999 400 0 390 999 380 0 370 999 360 0 350 999 340 0 330 999 320 0 310 999 300 0 290 999 280 0 270 999 260 0 250 999 240 0 230 999 220 0 210 999 200 0 190 999 180 0 170 999 160 0 150 999 140 0 130 999 120 0 110 999 100 0 90 999 80 0 70 999 60 0 50 ...
output:
46374.3044510818
result:
ok found '46374.3044511', expected '46374.3044511', error '0.0000000'
Test #31:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
50 -2255 1931 -2830 -3187 3406 -4113 -1883 -1838 2327 -1793 425 -1197 2782 -1197 -569 -601 -6 -1566 -1556 -1182 -793 124 3186 -187 481 523 1688 652 -1844 580 2726 1263 -1544 1419 2655 1961 -389 1916 2623 2899 -3785 4421 -4440 3211 -2902 3483 -4580 -3486 -2403 3382 -537 3211 425 2728 -1005 2345 -1696...
output:
67111.7337451839
result:
ok found '67111.7337452', expected '67111.7337452', error '0.0000000'
Test #32:
score: 0
Accepted
time: 3ms
memory: 3752kb
input:
50 -4856 -2492 2539 -4838 4880 4847 -4864 -2066 2295 -4254 4404 4050 -4153 -1952 2123 -3843 3981 3355 -3486 -1880 1931 -3331 3514 2614 -2659 -1781 1764 -2833 3058 1817 -1907 -1667 1540 -2336 2515 1035 -1144 -1509 1404 -1895 2059 295 -389 -1338 1220 -1509 1540 -442 373 -1155 1084 -1167 661 -1083 1468...
output:
258611.4291814968
result:
ok found '258611.4291815', expected '258611.4291815', error '0.0000000'
Test #33:
score: 0
Accepted
time: 3ms
memory: 3664kb
input:
50 1744 1847 -3538 3666 -3761 -4197 3609 -3486 4065 1874 1148 -2860 -1480 -3403 -2523 2444 -2299 -2917 -3050 -358 -2235 -3600 1456 -3046 3366 -160 3206 -3217 -3382 -3972 -2627 -3187 -3677 -3274 -3178 253 -2703 -571 -3370 3028 -2119 2800 -1068 -2548 2143 -912 -433 -643 -741 1521 -1037 -2420 -805 1646...
output:
55761.8456172589
result:
ok found '55761.8456173', expected '55761.8456173', error '0.0000000'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
50 -4197 3951 885 2572 -3773 3127 -3294 -3459 -2710 2474 -2862 -3900 -3933 -3642 -4293 -4340 4392 -4355 -2255 -3786 -2235 2330 3374 1305 -1428 -3331 3026 340 3194 -3558 -1684 -3471 2822 1107 -1939 1889 -2011 -3558 4848 -4325 4373 4334 1104 1874 -2299 2486 -2363 -4128 -2607 2557 -2798 2587 -3286 -247...
output:
114150.0917307214
result:
ok found '114150.0917307', expected '114150.0917307', error '0.0000000'
Test #35:
score: 0
Accepted
time: 4ms
memory: 3696kb
input:
50 -4704 -4583 2 4349 4616 -4667 2962 4706 -3697 4562 -4920 -4766 -805 -3984 -1080 -1224 417 -942 2091 -3729 -70 -2150 405 -3630 1456 -4340 2726 -4140 2411 -2860 1160 -885 142 -46 174 708 54 1206 -729 253 -421 -373 -1716 -472 -1005 978 -190 2018 301 1634 765 735 521 397 1033 10 1096 735 757 1832 46 ...
output:
43688.2184848068
result:
ok found '43688.2184848', expected '43688.2184848', error '0.0000000'
Test #36:
score: 0
Accepted
time: 1ms
memory: 3724kb
input:
50 -4325 -4311 3769 3951 -3921 -4367 3470 2713 -3318 -4595 4752 -4526 661 -1212 4077 -4311 -2619 -4284 3270 -3915 -2351 -3942 2846 -3573 206 -1224 4213 2926 4712 -3999 861 -1011 4904 -4269 4680 4604 -2978 -3444 4572 4661 -4876 4691 -4792 -4481 -4684 4520 -4652 -4412 -4440 4406 4105 4478 -4229 4080 3...
output:
131797.0929148330
result:
ok found '131797.0929148', expected '131797.0929148', error '0.0000000'
Test #37:
score: 0
Accepted
time: 0ms
memory: 3688kb
input:
50 -1400 0 900 1839 795 1976 682 2096 564 2197 440 2279 313 2340 182 2380 50 2399 -81 2396 -213 2373 -342 2327 -469 2262 -592 2176 -709 2070 -820 1946 -923 1805 -1019 1647 -1105 1475 -1181 1290 -1247 1093 -1302 886 -1345 671 -1376 451 -1394 226 -1401 0 -1394 -226 -1376 -451 -1345 -671 -1302 -886 -12...
output:
13435.2525506440
result:
ok found '13435.2525506', expected '13435.2525506', error '0.0000000'
Test #38:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
50 -4832 -4823 -2311 4706 4784 -2435 -4600 -4640 -2183 4236 4137 -2321 -4313 -4311 -2075 3738 3514 -2177 -4061 -4041 -1971 3241 3162 -2093 -3877 -3858 -1883 2770 2750 -1964 -3665 -3642 -1800 2474 2251 -1838 -3382 -3346 -1696 2075 1772 -1724 -3138 -3145 -1620 1661 1360 -1622 -2922 -2890 1552 -1667 -1...
output:
30903.7743764705
result:
ok found '30903.7743765', expected '30903.7743765', error '0.0000000'