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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#24113#2950. Growing Some Oobleckmaze#AC ✓7ms3920kbC++142.8kb2022-03-26 15:15:562022-04-30 04:57:33

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-04-30 04:57:33]
  • 评测
  • 测评结果:AC
  • 用时:7ms
  • 内存:3920kb
  • [2022-03-26 15:15:56]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

#define N 110
#define eps 1e-8

struct circle
{
    double x, y;
    double r;
    double s;
    int id;
};

vector<circle> S;

double dist(circle &c1, circle &c2)
{
    return sqrt((c1.x - c2.x) * (c1.x - c2.x) + (c1.y - c2.y) * (c1.y - c2.y)) - sqrt((c1.r + c2.r) * (c1.r + c2.r));
}

bool intersect(circle &c1, circle &c2)
{
    return dist(c1, c2) < eps;
}

double getT()
{
    double t = 1e18;
    for (circle &c1 : S)
    {
        for (circle &c2 : S)
        {
            if (c1.id == c2.id)
                continue;
            t = min(t, dist(c1, c2) / (c1.s + c2.s));
        }
    }
    return t;
}

void addT(double t)
{
    for (circle &c : S)
        c.r += c.s * t;
}

int f[N];

int getf(int k)
{
    if (f[k] == k)
        return k;
    return f[k] = getf(f[k]);
}

void qmerge(int a, int b)
{
    int t1 = getf(a);
    int t2 = getf(b);
    if (t1 != t2)
        f[t1] = t2;
}

circle temp[N];
int cntf[N];

void merge()
{
    int sz = S.size();
    for (int i = 0; i < N; i++)
        f[i] = i;

    for (circle &c1 : S)
    {
        for (circle &c2 : S)
        {
            if (c1.id == c2.id)
                continue;
            if (intersect(c1, c2))
            {
                qmerge(c1.id, c2.id);
            }
        }
    }

    for (int i = 1; i <= sz; i++)
    {
        temp[i].id = i;
        temp[i].r = 0;
        temp[i].x = 0;
        temp[i].y = 0;
        temp[i].s = 0;
        cntf[i] = 0;
    }

    for (circle &c : S)
    {
        int fa = getf(c.id);
        temp[fa].x += c.x;
        temp[fa].y += c.y;
        temp[fa].r += c.r * c.r;
        temp[fa].s = max(temp[fa].s, c.s);
        cntf[fa]++;
    }

    S.clear();

    int cnt = 0;
    for (int i = 1; i <= sz; i++)
    {
        if (getf(i) == i)
        {
            circle c;
            c.id = ++cnt;
            c.r = sqrt(temp[i].r);
            c.x = temp[i].x / cntf[i];
            c.y = temp[i].y / cntf[i];
            c.s = temp[i].s;
            S.push_back(c);
        }
    }
}

int main()
{
    int n;
    scanf("%d", &n);
    for (int i = 1; i <= n; i++)
    {
        circle c;
        c.id = i;
        scanf("%lf%lf%lf%lf", &c.x, &c.y, &c.r, &c.s);
        S.push_back(c);
    }
    while (S.size() > 1)
    {
        double t = getT();
        // for (circle &c : S)
        // {
        //     printf("%.8f %.8f %.8f\n", c.x, c.y, c.r);
        // }
        while (t <= 0)
        {
            merge();
            t = getT();
        }
        if (S.size() > 1)
            addT(t);
    }

    for (circle &c : S)
    {
        printf("%.8f %.8f\n%.8f\n", c.x, c.y, c.r);
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 3760kb

input:

3
10 10 5 1
24 10 7 1
16 2 2 1

output:

16.50000000 6.00000000
10.44030651

result:

ok 3 numbers

Test #2:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

5
-5 0 1 1
6 0 1 1
0 7 1 1
0 -8 1 1
0 0 1 2

output:

1.18750000 -3.12500000
7.61677681

result:

ok 3 numbers

Test #3:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

2
-1000000000 0 1 1
1000000000 0 1 1

output:

0.00000000 0.00000000
1414213562.37309504

result:

ok 3 numbers

Test #4:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

4
-100000000 -1000000000 1 2
1000000000 -1000000000 1 2
-1000000000 1000000000 1 3
1000000000 1000000000 1 3

output:

225000000.00000000 0.00000000
1673350486.96081042

result:

ok 3 numbers

Test #5:

score: 0
Accepted
time: 2ms
memory: 3720kb

input:

4
-100000000 -1000000000 1 1000000
1000000000 -1000000000 1 1000000
-1000000000 1000000000 1 3
1000000000 1000000000 1 3

output:

-137500000.00000000 500000000.00000000
2074241311.01239991

result:

ok 3 numbers

Test #6:

score: 0
Accepted
time: 3ms
memory: 3760kb

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:

10640.58984375 1.00000000
13239.14279214

result:

ok 3 numbers

Test #7:

score: 0
Accepted
time: 0ms
memory: 3784kb

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:

1.00000000 -10640.58984375
13239.14279214

result:

ok 3 numbers

Test #8:

score: 0
Accepted
time: 3ms
memory: 3796kb

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:

500.00000000 0.00000000
725.25869849

result:

ok 3 numbers

Test #9:

score: 0
Accepted
time: 2ms
memory: 3916kb

input:

4
0 1 2 3
7 1 3 1
17 1 1 1
17 10 1 1

output:

13.62500000 5.50000000
11.22914734

result:

ok 3 numbers

Test #10:

score: 0
Accepted
time: 3ms
memory: 3852kb

input:

4
0 1 2 1
7 1 3 3
17 1 1 1
17 10 1 1

output:

13.62500000 5.50000000
11.24583256

result:

ok 3 numbers

Test #11:

score: 0
Accepted
time: 3ms
memory: 3796kb

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:

0.00000000 10.00000000
25.64861087

result:

ok 3 numbers

Test #12:

score: 0
Accepted
time: 3ms
memory: 3768kb

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:

50.00000000 261.24908550
375.56894691

result:

ok 3 numbers

Test #13:

score: 0
Accepted
time: 7ms
memory: 3812kb

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:

681.15356445 107695.57861328
84684.98156049

result:

ok 3 numbers

Test #14:

score: 0
Accepted
time: 3ms
memory: 3768kb

input:

3
-1000000000 0 1 100000
1000000000 0 1 100000
1000000000 1000000000 1000000 1

output:

0.00000000 250000000.00000000
1457737973.71136975

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 3ms
memory: 3792kb

input:

4
-1000000000 0 1 100000
1000000000 0 1 100000
1000000000 1000000000 1000000 1
0 0 2 2

output:

250000000.00000000 250000000.00000000
1414185636.99780464

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 3ms
memory: 3876kb

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:

712148141.45800769 752427048.44842720
940126064.81128061

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 3ms
memory: 3668kb

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:

371827339.39731562 266951144.24226552
1209296596.11454988

result:

ok 3 numbers

Test #18:

score: 0
Accepted
time: 7ms
memory: 3868kb

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:

198360260.46110663 170910810.39474142
1440508744.01245475

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 7ms
memory: 3780kb

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:

-131644699.44937944 639893986.29087949
1135881519.56232357

result:

ok 3 numbers

Test #20:

score: 0
Accepted
time: 7ms
memory: 3752kb

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:

231242612.12221247 -300376760.26704323
1068567816.80806708

result:

ok 3 numbers

Test #21:

score: 0
Accepted
time: 2ms
memory: 3776kb

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:

372796359.89645743 -441709616.79407591
1155102638.88453507

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 7ms
memory: 3780kb

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:

-579117325.74601567 -700064522.09957027
1179476387.71650338

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 7ms
memory: 3780kb

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:

435381577.18684793 349150452.24600387
1522214340.97188830

result:

ok 3 numbers

Test #24:

score: 0
Accepted
time: 2ms
memory: 3868kb

input:

2
1 1 1 1
5 1 1 1

output:

3.00000000 1.00000000
2.82842712

result:

ok 3 numbers

Test #25:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

5
3 4 5 1
17 4 7 1
10 -13 6 2
10 21 7 1
-7 4 1 1

output:

1.50000000 4.00000000
15.23154621

result:

ok 3 numbers