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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#554607#7906. Almost Convexliqingyang#TL 895ms3692kbC++141.8kb2024-09-09 12:54:572024-09-09 12:54:59

Judging History

你现在查看的是最新测评结果

  • [2024-09-09 12:54:59]
  • 评测
  • 测评结果:TL
  • 用时:895ms
  • 内存:3692kb
  • [2024-09-09 12:54:57]
  • 提交

answer

#include<iostream>
#include<vector>
#include<algorithm>
#include<cstring>
using namespace std;
struct point
{
	int x,y;
};
inline bool operator <(const point &a,const point &b)
{
	return a.x==b.x?a.y<b.y:a.x<b.x;
}
inline point operator -(const point &a,const point &b)
{
	return {a.x-b.x,a.y-b.y};
}
inline long long operator *(const point &a,const point &b)
{
	return (long long)a.x*b.y-(long long)a.y*b.x;
}
int n,head,sta[2010],num,p[2010];
point a[2010],A;
bool mark[2010],Mark[2010];
vector<int> v;
inline bool cmp(int x,int y)
{
	point p=a[x]-A,q=a[y]-A;
	return ((p.x<0)==(q.x<0))?p*q>0:p.x<0;
}
inline bool in(int x,int y,int z)
{
	bool t=(a[p[x]]-A)*(a[z]-A)>0;
	return t==((A-a[p[y]])*(a[z]-a[p[y]])>0)
	&&t==((a[p[y]]-a[p[x]])*(a[z]-a[p[x]])>0);
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0);
	cin>>n;
	for(int i=1;i<=n;i++)
	{
		cin>>a[i].x>>a[i].y;
	}
	sort(a+1,a+n+1),sta[head=1]=1;
	for(int i=2;i<=n;i++)
	{
		while(head>1&&(a[sta[head]]-a[sta[head-1]])
		*(a[i]-a[sta[head-1]])>0)
		{
			head--;
		}
		sta[++head]=i;
	}
	num=head,memcpy(p,sta,sizeof(p));
	sta[head=1]=n;
	for(int i=n-1;i;i--)
	{
		while(head>1&&(a[sta[head]]-a[sta[head-1]])
		*(a[i]-a[sta[head-1]])>0)
		{
			head--;
		}
		sta[++head]=i;
	}
	for(int i=2;i<=head;i++)
	{
		p[++num]=sta[i];
	}
	for(int i=1;i<=num;i++)
	{
		mark[p[i]]=1;
	}
	int ans=1;
	for(int i=1;i<=n;i++)
	{
		if(mark[i])
		{
			continue;
		}
		A=a[i],v.clear();
		for(int j=1;j<=n;j++)
		{
			if(i!=j&&!mark[j])
			{
				v.emplace_back(j);
			}
		}
		sort(v.begin(),v.end(),cmp);
		memset(Mark,0,sizeof(Mark));
		for(int j=0,k=1;j<v.size();j++)
		{
			while(!in(k,k+1,v[j]))
			{
				k=k+1<num?k+1:1;
			}
			Mark[k]=1;
		}
		for(int j=1;j<num;j++)
		{
			ans+=!Mark[j];
		}
	}
	cout<<ans<<endl;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3596kb

input:

7
1 4
4 0
2 3
3 1
3 5
0 0
2 4

output:

9

result:

ok 1 number(s): "9"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

5
4 0
0 0
2 1
3 3
3 1

output:

5

result:

ok 1 number(s): "5"

Test #3:

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

input:

3
0 0
3 0
0 3

output:

1

result:

ok 1 number(s): "1"

Test #4:

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

input:

6
0 0
3 0
3 2
0 2
1 1
2 1

output:

7

result:

ok 1 number(s): "7"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

4
0 0
0 3
3 0
3 3

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 318ms
memory: 3668kb

input:

2000
86166 617851
383354 -277127
844986 386868
-577988 453392
-341125 -386775
-543914 -210860
-429613 606701
-343534 893727
841399 339305
446761 -327040
-218558 -907983
787284 361823
950395 287044
-351577 -843823
-198755 138512
-306560 -483261
-487474 -857400
885637 -240518
-297576 603522
-748283 33...

output:

718

result:

ok 1 number(s): "718"

Test #7:

score: 0
Accepted
time: 317ms
memory: 3688kb

input:

2000
571314 -128802
-57762 485216
-713276 485201
-385009 -844644
371507 403789
338703 -272265
-913641 438001
-792118 -481524
709494 213762
-913577 432978
-397111 709021
840950 328210
-843628 452653
-20721 126607
-107804 -338102
930109 -89787
-949115 -76479
-862141 455623
991761 94852
-635475 625573
...

output:

658

result:

ok 1 number(s): "658"

Test #8:

score: 0
Accepted
time: 316ms
memory: 3612kb

input:

2000
-510540 -289561
-602648 -189950
-403224 944455
-369582 -41334
358122 -598933
-817147 470207
-440180 -735160
-705634 61719
319062 897001
-905089 -755682
-408371 -520115
-423336 548115
-590242 835990
208155 883477
-202087 142035
-71545 411206
570690 -673204
-228451 -903435
-732876 -570271
-246755...

output:

309

result:

ok 1 number(s): "309"

Test #9:

score: 0
Accepted
time: 316ms
memory: 3680kb

input:

2000
-532115 566389
138405 49337
398814 -97324
116833 113216
381728 877609
222402 641022
109920 952381
-113880 395181
13780 -572931
-676608 605202
-74328 -503839
-207767 926500
-663270 -146303
197877 280349
275865 -663892
-630214 3286
973786 304855
-493735 841584
394901 -505975
757960 204724
-373328...

output:

239

result:

ok 1 number(s): "239"

Test #10:

score: 0
Accepted
time: 315ms
memory: 3672kb

input:

2000
512636 509804
-661126 -592269
755566 -721837
-878213 441853
-236050 -89069
-181220 155656
203391 691764
940154 260513
747075 373881
620423 840991
-409624 335472
270937 -710659
-751290 -673585
250341 -193243
-250535 618887
-739996 543936
-547741 -213681
-82920 -364319
-611672 737719
930798 46731...

output:

1025

result:

ok 1 number(s): "1025"

Test #11:

score: 0
Accepted
time: 314ms
memory: 3612kb

input:

2000
943353 817289
237151 899722
682851 -464873
854225 205354
834550 257948
-260874 298196
-224572 -269157
-667301 881130
-45920 -696359
-634337 792620
-408527 -947513
582880 172669
921645 839423
833813 721080
-836662 -287230
-55783 -408594
108996 -122012
365647 -789544
313812 833502
970009 -737736
...

output:

218

result:

ok 1 number(s): "218"

Test #12:

score: 0
Accepted
time: 319ms
memory: 3668kb

input:

2000
619248 227987
-252490 -553032
148050 -479727
-333707 -591482
-40488 -503144
561909 255624
-402541 -798967
-245811 -610006
-146584 -517935
226433 -92580
-81939 -828480
72540 -845547
502613 220323
66708 -573015
601886 258752
406443 257854
232970 -671600
-37023 -683767
602339 456757
-440096 -71899...

output:

7

result:

ok 1 number(s): "7"

Test #13:

score: 0
Accepted
time: 316ms
memory: 3632kb

input:

2000
-602451 2956
85982 141739
-185932 -208897
-716095 58215
-468047 155612
-791626 -3105
75700 -484098
609608 -304849
689485 -106857
533177 -285261
-659400 -241162
-369302 165482
406663 265940
-353843 -788313
805885 -75440
-571955 -60471
351360 -81373
-510926 -59456
591713 179588
534794 -118
201630...

output:

66

result:

ok 1 number(s): "66"

Test #14:

score: 0
Accepted
time: 316ms
memory: 3692kb

input:

2000
41203 -675424
-158994 366628
-133859 -595680
435466 687630
687811 -35017
314337 133049
-384711 444777
54850 -760922
526166 282618
572292 94793
-324003 621393
-30308 242225
612969 -231837
-56628 -892609
-492077 58749
29597 -349591
198510 219502
380955 -59845
839171 -40068
88185 -820614
-572977 -...

output:

43

result:

ok 1 number(s): "43"

Test #15:

score: 0
Accepted
time: 316ms
memory: 3692kb

input:

2000
-814040 46114
-324077 -522697
388552 -604274
-252898 43028
-757069 141507
413462 -649779
-281915 -316285
-498931 -573214
-408766 670792
-271435 -393170
87187 731739
89312 -853584
-768680 -307261
-185324 234729
-70493 -354866
16452 164338
-650791 -518077
851196 -259322
-85395 -509349
241593 5074...

output:

129

result:

ok 1 number(s): "129"

Test #16:

score: 0
Accepted
time: 318ms
memory: 3604kb

input:

2000
23103 -796677
-148322 67634
-525131 -446626
2672 584671
-712789 -69579
-91150 -429393
-375635 -487235
-680553 -370975
793181 -383683
-234131 -462420
-734705 -171834
322671 -355011
760005 224249
700248 -352775
416862 -125857
-497951 717254
677084 -451876
-220123 616240
525973 -144881
-300828 553...

output:

1466

result:

ok 1 number(s): "1466"

Test #17:

score: 0
Accepted
time: 320ms
memory: 3668kb

input:

2000
-185174 470373
-772343 -70370
-182314 851727
661615 -250979
-581175 527646
332025 141502
-659052 -506788
-378459 -553180
11233 162287
469975 -572356
679074 217029
-137967 727723
581696 140544
452574 -319370
120895 129820
772655 -330960
122860 823902
-786221 147543
-206152 -373647
-212943 4820
6...

output:

2801

result:

ok 1 number(s): "2801"

Test #18:

score: 0
Accepted
time: 342ms
memory: 3684kb

input:

2000
-718158 695879
655921 595312
-509080 -860718
540612 244159
-83221 -865654
-460513 -542465
102321 -775593
328552 799263
-284269 -725108
152140 549502
-108610 465054
-97837 -449762
-772869 -171472
293831 -711723
508617 -157976
170737 323070
544222 385453
-633043 -233165
-620164 -459706
507218 338...

output:

14445

result:

ok 1 number(s): "14445"

Test #19:

score: 0
Accepted
time: 431ms
memory: 3600kb

input:

2000
-587991 -165467
-530325 -5525
-574943 180654
-496535 -748102
-436469 -160646
110285 237070
-822862 -141480
-177189 327799
-424868 331309
-999274 38095
-745710 192605
-234174 -804258
586432 -176239
-626756 499109
-562606 826724
890245 455480
-32262 -298900
550800 516690
-588632 -368654
405331 -3...

output:

64358

result:

ok 1 number(s): "64358"

Test #20:

score: 0
Accepted
time: 895ms
memory: 3604kb

input:

2000
441575 -414673
651578 -449237
287355 -489950
606811 -30288
-733692 679481
-652568 89883
-360110 616801
190405 -368787
-352383 935855
118240 73038
-374899 -927065
-22183 -491455
-146229 638417
998825 -48442
-374469 243261
988830 149043
-778607 -291542
-277026 -167975
372912 -405043
535321 425727...

output:

233885

result:

ok 1 number(s): "233885"

Test #21:

score: -100
Time Limit Exceeded

input:

2000
-369265 -366669
-225059 -65255
750236 -107534
-252341 967638
533029 -79205
-482639 504243
-164616 -477455
-219649 975578
222020 297565
-548636 -836060
595498 -345235
-971961 -235140
179392 983777
747498 664263
-458850 -513884
-456639 186799
508542 -359953
630300 5257
-294961 -599723
999627 2729...

output:


result: