QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#28344#2950. Growing Some Oobleckhld67890#AC ✓2ms2008kbC++172.5kb2022-04-13 17:57:312022-04-29 09:39:16

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-04-29 09:39:16]
  • Judged
  • Verdict: AC
  • Time: 2ms
  • Memory: 2008kb
  • [2022-04-13 17:57:31]
  • Submitted

answer

#include <stdio.h>
#include <algorithm>
#include <math.h>

using namespace std;

const double eps = 1e-7;
struct node {
	double x , y , r , s;
	int del;
} a[120] , b[120];
int n;
double dis ( double x1 , double y1 , double x2 , double y2 ) {
	return sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
}
double gettime () {
	int i , j;
	double ret = 1e15;
	for ( i = 1 ; i <= n ; i++ ) {
		for ( j = i + 1 ; j <= n ; j++ ) {
			//printf ( "%lf %lf\n" , dis (a[i].x,a[i].y,a[j].x,a[j].y)-a[i].r-a[j].r , a[i].s+a[j].s );
			ret = min ( ret , (dis (a[i].x,a[i].y,a[j].x,a[j].y)-a[i].r-a[j].r) / (a[i].s+a[j].s) );
		}
	}
	return ret;
}
void expand ( double t ) {
	int i;
	for ( i = 1 ; i <= n ; i++ ) {
		a[i].r += t * a[i].s;
	}
}
int touch ( node x1 , node x2 ) {
	//printf ( "%.10lf\n" , dis(x1.x,x1.y,x2.x,x2.y) - x1.r - x2.r );
	if ( dis(x1.x,x1.y,x2.x,x2.y) - x1.r - x2.r < eps ) return 1;
	return 0;
}
void merge () {
	int i , j , cnt , m;
	int fi = -1 , fj;
	node now , nnow;
	for ( i = 1 ; i <= n ; i++ ) {
		for ( j = i + 1 ; j <= n ; j++ ) {
			if ( touch ( a[i] , a[j] ) == 1 ) {
				fi = i;
				fj = j;
				break;
			}
		}
		if ( fi != -1 ) break;
	}
	//printf ( "%d\n" , fi );
	now.x = (a[fi].x + a[fj].x) / 2;
	now.y = (a[fi].y + a[fj].y) / 2;
	//printf ( "@@%lf %lf\n" , a[fi].r , a[fj].r );
	now.r = sqrt ( a[fi].r*a[fi].r + a[fj].r * a[fj].r );
	now.s = max ( a[fi].s , a[fj].s );
	now.del = 0;
	a[i].del = 1;
	a[j].del = 1;
	for ( i = 2 ; i <= n ; i++ ) {
		nnow = now;
		nnow.r = nnow.r * nnow.r;
		cnt = 1;
		for ( j = 1 ; j <= n ; j++ ) {
			if ( a[j].del == 0 ) {
				if ( touch ( now , a[j] ) == 1 ) {
					nnow.x += a[j].x;
					nnow.y += a[j].y;
					nnow.r += a[j].r * a[j].r;
					nnow.s = max ( nnow.s , a[j].s );
					cnt++;
					a[j].del = 1;
				}
			}
		}
		if ( cnt == 1 ) break;
		nnow.r = sqrt ( nnow.r );
		nnow.x /= cnt;
		nnow.y /= cnt;
		now = nnow;
	}
	m = 1;
	b[1] = now;
	for ( i = 1 ; i <= n ; i++ ) {
		if ( a[i].del == 0 ) b[++m] = a[i];
	}
	for ( i = 1 ; i <= m ; i++ ) {
		a[i] = b[i];
	}
	n = m;
}
void work () {
	int i;
	double t;
	scanf ( "%d" , &n );
	for ( i = 1 ; i <= n ; i++ ) {
		//a[i].x = i*i; a[i].y = 0; a[i].r = 0.1; a[i].s = 0;
		scanf ( "%lf%lf%lf%lf" , &a[i].x , &a[i].y , &a[i].r , &a[i].s );
	}
	while ( n > 1 ) {
		t = gettime ();
		expand ( t );
		merge ();
		//printf ( "%lf\n" , t );
	}
	printf ( "%.10lf %.10lf\n" , a[1].x , a[1].y );
	printf ( "%.10lf\n" , a[1].r );
}
int main () {
	work ();
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 1768kb

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: 1ms
memory: 1880kb

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: 1ms
memory: 1824kb

input:

2
-1000000000 0 1 1
1000000000 0 1 1

output:

0.0000000000 0.0000000000
1414213562.3730950356

result:

ok 3 numbers

Test #4:

score: 0
Accepted
time: 1ms
memory: 1772kb

input:

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

output:

225000000.0000000000 0.0000000000
1673350486.9608104229

result:

ok 3 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 1820kb

input:

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

output:

-137500000.0000000000 500000000.0000000000
2074241311.0123999119

result:

ok 3 numbers

Test #6:

score: 0
Accepted
time: 1ms
memory: 1704kb

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: 1ms
memory: 1772kb

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: 1816kb

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: 1ms
memory: 1768kb

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: 1772kb

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: 1964kb

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: 1772kb

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: 2ms
memory: 1968kb

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: 1768kb

input:

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

output:

0.0000000000 250000000.0000000000
1457737973.7113697529

result:

ok 3 numbers

Test #15:

score: 0
Accepted
time: 1ms
memory: 2008kb

input:

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

output:

250000000.0000000000 250000000.0000000000
1414185636.9978044033

result:

ok 3 numbers

Test #16:

score: 0
Accepted
time: 2ms
memory: 1764kb

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:

712148141.4580076933 752427048.4484272003
940126064.8112806082

result:

ok 3 numbers

Test #17:

score: 0
Accepted
time: 0ms
memory: 1708kb

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:

371827339.3973156214 266951144.2422655225
1209296596.1145498753

result:

ok 3 numbers

Test #18:

score: 0
Accepted
time: 2ms
memory: 1708kb

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:

198360260.4611066282 170910810.3947414160
1440508744.0124547482

result:

ok 3 numbers

Test #19:

score: 0
Accepted
time: 2ms
memory: 1772kb

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:

-131644699.4493794441 639893986.2908794880
1135881519.5623235703

result:

ok 3 numbers

Test #20:

score: 0
Accepted
time: 2ms
memory: 1824kb

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:

231242612.1222124696 -300376760.2670432329
1068567816.8080670834

result:

ok 3 numbers

Test #21:

score: 0
Accepted
time: 2ms
memory: 1772kb

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:

372796359.8964574337 -441709616.7940759063
1155102638.8845350742

result:

ok 3 numbers

Test #22:

score: 0
Accepted
time: 2ms
memory: 1776kb

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:

-579117325.7460156679 -700064522.0995702744
1179476387.7165031433

result:

ok 3 numbers

Test #23:

score: 0
Accepted
time: 2ms
memory: 1824kb

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:

435381577.1868479252 349150452.2460038662
1522214340.9718883038

result:

ok 3 numbers

Test #24:

score: 0
Accepted
time: 0ms
memory: 1796kb

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: 1ms
memory: 1772kb

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