QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#712811 | #2950. Growing Some Oobleck | stavage | AC ✓ | 5ms | 3984kb | C++20 | 2.6kb | 2024-11-05 17:08:12 | 2024-11-05 17:08:13 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef long double LD;
#define int LL
#define double LD
const int N = 1e5 + 5;
const int INF = 0x3f3f3f3f;
const double eps = 1e-8;
const double PI = acosl(-1);
struct Point {
double x, y;
Point(double x = 0, double y = 0) : x(x), y(y) {}
};
typedef Point Vector;
Point operator+(Point a, Point b) { return Point(a.x + b.x, a.y + b.y); }
Point operator-(Point a, Point b) { return Point(a.x - b.x, a.y - b.y); }
Point operator*(Point a, double p) { return Point(a.x * p, a.y * p); }
Point operator/(Point a, double p) { return Point(a.x / p, a.y / p); }
bool operator<(const Point &a, const Point &b) { return a.x < b.x || (a.x == b.x && a.y < b.y); }
struct Circle {
double x, y, r, s;
Circle(double x = 0, double y = 0, double r = 0, double s = 0) : x(x), y(y), r(r), s(s) {}
};
Circle read_C()
{
Circle c;
cin >> c.x >> c.y >> c.r >> c.s;
return c;
}
double dis(Circle a, Circle b)
{
return sqrtl((a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y));
}
double ctime(Circle a, Circle b)
{
return (dis(a, b) - a.r - b.r) / (a.s + b.s);
}
vector<Circle> v;
int merge(int k)
{
Circle c;
Circle now = v[k];
int cnt = 0;
for (int i = 0; i < v.size();) {
if (dis(now, v[i]) - now.r - v[i].r <= 0) {
c.r += (v[i].r * v[i].r);
c.s = max(c.s, v[i].s);
c.x += v[i].x;
c.y += v[i].y;
cnt++;
swap(v[i], v[(int)v.size() - 1]);
v.pop_back();
}
else i++;
}
c.x /= cnt;
c.y /= cnt;
c.r = sqrtl(c.r);
v.push_back(c);
return cnt;
}
int n;
void solve()
{
cin >> n;
for (int i = 1; i <= n; i++) {
Circle x;
x = read_C();
v.push_back(x);
}
while (v.size() > 1) {
int l = -1, r = -1;
for (int i = 0; i < v.size(); i++) {
for (int j = i + 1; j < v.size(); j++) {
if (l == -1 || ctime(v[l], v[r]) > ctime(v[i], v[j])) {
l = i;
r = j;
}
}
}
double t = ctime(v[l], v[r]);
for (int i = 0; i < v.size(); i++) {
v[i].r += t * v[i].s;
}
while (merge(l) > 1) {
l = v.size() - 1;
}
}
cout << v[0].x << " " << v[0].y << "\n" << v[0].r << "\n";
}
signed main()
{
cin.tie(nullptr)->ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
int _ = 1;
while (_--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3848kb
input:
3 10 10 5 1 24 10 7 1 16 2 2 1
output:
16.5000000000 6.0000000000 10.4403065089
result:
ok 3 numbers
Test #2:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
5 -5 0 1 1 6 0 1 1 0 7 1 1 0 -8 1 1 0 0 1 2
output:
1.1875000000 -3.1250000000 7.6167768131
result:
ok 3 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
2 -1000000000 0 1 1 1000000000 0 1 1
output:
0.0000000000 0.0000000000 1414213562.3730950488
result:
ok 3 numbers
Test #4:
score: 0
Accepted
time: 0ms
memory: 3964kb
input:
4 -100000000 -1000000000 1 2 1000000000 -1000000000 1 2 -1000000000 1000000000 1 3 1000000000 1000000000 1 3
output:
225000000.0000000000 0.0000000000 1673350486.9608103293
result:
ok 3 numbers
Test #5:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
4 -100000000 -1000000000 1 1000000 1000000000 -1000000000 1 1000000 -1000000000 1000000000 1 3 1000000000 1000000000 1 3
output:
-137500000.0000000000 500000000.0000000000 2074241311.0123999462
result:
ok 3 numbers
Test #6:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
10 -1 1 1 1 3 1 1 1 8 1 1 1 21 1 1 1 55 1 1 1 155 1 1 1 355 1 1 1 900 1 1 1 2000 1 1 1 20000 1 1 1
output:
10640.5898437500 1.0000000000 13239.1427921418
result:
ok 3 numbers
Test #7:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
10 1 1 1 1 1 -3 1 1 1 -8 1 1 1 -21 1 1 1 -55 1 1 1 -155 1 1 1 -355 1 1 1 -900 1 1 1 -2000 1 1 1 -20000 1 1
output:
1.0000000000 -10640.5898437500 13239.1427921418
result:
ok 3 numbers
Test #8:
score: 0
Accepted
time: 0ms
memory: 3976kb
input:
8 -1 1 1 2 -5 5 1 2 0 6 1 1 -6 0 1 1 1001 -1 1 3 1005 -5 1 3 1006 0 1 1 1000 -6 1 1
output:
500.0000000000 0.0000000000 725.2586984934
result:
ok 3 numbers
Test #9:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
4 0 1 2 3 7 1 3 1 17 1 1 1 17 10 1 1
output:
13.6250000000 5.5000000000 11.2291473407
result:
ok 3 numbers
Test #10:
score: 0
Accepted
time: 1ms
memory: 3720kb
input:
4 0 1 2 1 7 1 3 3 17 1 1 1 17 10 1 1
output:
13.6250000000 5.5000000000 11.2458325614
result:
ok 3 numbers
Test #11:
score: 0
Accepted
time: 1ms
memory: 3976kb
input:
100 0 0 1 1 0 10 1 1 0 20 1 1 0 30 1 1 0 40 1 1 0 50 1 1 0 60 1 1 0 70 1 1 0 80 1 1 0 90 1 1 0 100 1 1 0 110 1 1 0 120 1 1 0 130 1 1 0 140 1 1 0 150 1 1 0 160 1 1 0 170 1 1 0 180 1 1 0 190 1 1 0 200 1 1 0 210 1 1 0 220 1 1 0 230 1 1 0 240 1 1 0 250 1 1 0 260 1 1 0 270 1 1 0 280 1 1 0 290 1 1 0 300 1...
output:
0.0000000000 10.0000000000 25.6486108721
result:
ok 3 numbers
Test #12:
score: 0
Accepted
time: 1ms
memory: 3872kb
input:
100 0 0 1 1 0 10 1 1 0 20 1 1 0 30 1 1 0 40 1 1 0 50 1 1 0 60 1 1 0 70 1 1 0 80 1 1 0 90 1 1 0 100 1 1 0 110 1 1 0 120 1 1 0 130 1 1 0 140 1 1 0 150 1 1 0 160 1 1 0 170 1 1 0 180 1 1 0 190 1 1 0 200 1 1 0 210 1 1 0 220 1 1 0 230 1 1 0 240 1 1 0 250 1 1 0 260 1 1 0 270 1 1 0 280 1 1 0 290 1 1 0 300 1...
output:
50.0000000000 261.2490855048 375.5689469117
result:
ok 3 numbers
Test #13:
score: 0
Accepted
time: 4ms
memory: 3972kb
input:
100 0 0 1 1 10 20 1 1 20 80 1 1 30 180 1 1 40 320 1 1 50 500 1 1 60 720 1 1 70 980 1 1 80 1280 1 1 90 1620 1 1 100 2000 1 1 110 2420 1 1 120 2880 1 1 130 3380 1 1 140 3920 1 1 150 4500 1 1 160 5120 1 1 170 5780 1 1 180 6480 1 1 190 7220 1 1 200 8000 1 1 210 8820 1 1 220 9680 1 1 230 10580 1 1 240 11...
output:
681.1535644531 107695.5786132812 84684.9815604907
result:
ok 3 numbers
Test #14:
score: 0
Accepted
time: 1ms
memory: 3716kb
input:
3 -1000000000 0 1 100000 1000000000 0 1 100000 1000000000 1000000000 1000000 1
output:
0.0000000000 250000000.0000000000 1457737973.7113698217
result:
ok 3 numbers
Test #15:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
4 -1000000000 0 1 100000 1000000000 0 1 100000 1000000000 1000000000 1000000 1 0 0 2 2
output:
250000000.0000000000 250000000.0000000000 1414185636.9978044289
result:
ok 3 numbers
Test #16:
score: 0
Accepted
time: 4ms
memory: 3928kb
input:
100 -993853835 -889234028 372418 480830 967974474 863745382 845086 316834 902310614 -902493899 405732 380202 -37824102 -287741231 400050 942967 971969049 92047940 468507 921761 -600612683 -278056632 977642 172884 235442253 851973492 855665 943236 407860875 592755649 345538 823894 227087840 -93883735...
output:
712148141.4580076847 752427048.4484272641 940126064.8112806366
result:
ok 3 numbers
Test #17:
score: 0
Accepted
time: 2ms
memory: 3952kb
input:
100 -991006979 -78398598 888529 6397 -168191015 86162807 953291 446246 -941099384 195245041 482901 602525 843205725 396143650 458929 285642 -170766083 -799927656 886603 482177 -398289374 544239452 298537 456698 -873551763 873954869 686379 697063 -874344706 -15896687 396572 296644 151301482 -63675804...
output:
371827339.3973156293 266951144.2422654964 1209296596.1145499555
result:
ok 3 numbers
Test #18:
score: 0
Accepted
time: 4ms
memory: 3932kb
input:
100 -174958760 -871174978 565937 356774 -925634674 -432225577 701564 37257 -22555735 211243118 48552 255475 714731061 136239021 326781 837955 -932589505 37077711 508137 17719 -979235051 376608958 350534 645908 288796461 -543046646 582992 37683 172529142 294162972 97262 459348 -615050639 378778468 44...
output:
198360260.4611066315 170910810.3947414226 1440508744.0124546422
result:
ok 3 numbers
Test #19:
score: 0
Accepted
time: 5ms
memory: 3984kb
input:
100 641089458 483532290 243344 707151 464405314 -950613961 449837 114062 895987914 227241195 99998 394220 586256397 -123665608 708837 390270 453070722 874083079 615466 553261 587302921 208978464 888327 320914 -548855314 187435488 479604 864098 -780597010 604222630 797951 107848 766080888 -753168664 ...
output:
-131644699.4493794335 639893986.2908795675 1135881519.5623235785
result:
ok 3 numbers
Test #20:
score: 0
Accepted
time: 2ms
memory: 3928kb
input:
100 -690345971 -309244090 434956 543324 -293038345 678481303 198110 705072 -332952084 243239272 665648 47171 457781733 -383570237 576688 942583 -308752700 -436395201 237000 88803 6357244 41347970 940324 510123 760976558 917917621 862012 204718 413760485 914282289 498641 756346 -271233 262367852 4759...
output:
231242612.1222124735 -300376760.2670432197 1068567816.8080671501
result:
ok 3 numbers
Test #21:
score: 0
Accepted
time: 2ms
memory: 3980kb
input:
100 791419962 -705632280 273660 718513 -671760175 419287111 72247 757679 -947422084 -822503513 691371 616543 -680197423 560219273 767716 218740 -689664411 -17892517 547767 113677 789626230 -968725453 723426 604728 342150670 209416864 310319 617925 -62802591 -4429706 848985 580596 690294531 -30360571...
output:
372796359.8964574602 -441709616.7940758952 1155102638.8845349066
result:
ok 3 numbers
Test #22:
score: 0
Accepted
time: 5ms
memory: 3900kb
input:
100 -540015467 649074988 951067 68891 718279814 -99101273 820519 348689 -28878435 -806505436 742818 269493 -808672087 300314644 635568 285258 695995816 819112850 169301 649218 208680553 863644053 261219 793938 -495501106 939898998 206931 444340 -868445095 305629953 549675 743300 -76057590 711930803 ...
output:
-579117325.7460156282 -700064522.0995702744 1179476387.7165031740
result:
ok 3 numbers
Test #23:
score: 0
Accepted
time: 5ms
memory: 3880kb
input:
100 941750466 252686798 789771 244079 339557984 -358295465 694656 887091 -643348434 275235426 282746 838866 200832405 -903379495 826596 561415 315084105 -909868114 965863 674091 991949539 -293913017 44321 888543 -914326993 231398240 655237 371752 654991829 -613082042 900020 567550 614508174 14595723...
output:
435381577.1868479536 349150452.2460038299 1522214340.9718883871
result:
ok 3 numbers
Test #24:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
2 1 1 1 1 5 1 1 1
output:
3.0000000000 1.0000000000 2.8284271247
result:
ok 3 numbers
Test #25:
score: 0
Accepted
time: 0ms
memory: 3972kb
input:
5 3 4 5 1 17 4 7 1 10 -13 6 2 10 21 7 1 -7 4 1 1
output:
1.5000000000 4.0000000000 15.2315462117
result:
ok 3 numbers