QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#771465#9520. Concave HullhuayucaijiAC ✓372ms17396kbC++143.0kb2024-11-22 13:16:252024-11-22 13:16:25

Judging History

你现在查看的是最新测评结果

  • [2024-11-22 13:16:25]
  • 评测
  • 测评结果:AC
  • 用时:372ms
  • 内存:17396kb
  • [2024-11-22 13:16:25]
  • 提交

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;

int read() {
	char ch=getchar();
	int f=1,x=0;
	while(ch<'0'||ch>'9') {
		if(ch=='-')
			f=-1;
		ch=getchar();
	}
	while(ch>='0'&&ch<='9') {
		x=x*10+ch-'0';
		ch=getchar();
	}
	return f*x;
}
char read_char() {
	char ch=getchar();
	while(!isalpha(ch)) {
		ch=getchar();
	}
	return ch;
}

const int MAXN=2e5+10;

int n,xmn,ymn;
struct point {
	int x,y;
	bool vis;
	point operator -(const point &p) {
		return (point){x-p.x,y-p.y,0};
	}
}p[MAXN];

int cross(point a,point b) {
	return a.x*b.y-a.y*b.x;
}
bool cmp(point a,point b) {
	if(a.vis^b.vis) {
		return !a.vis;
	}
	//long double k1=(long double)(a.y-ymn)/(long double)(a.x-xmn+1e-6);
	long double k1=atan2(a.y-ymn,a.x-xmn);
	//long double k2=(long double)(b.y-ymn)/(long double)(b.x-xmn+1e-6);
	long double k2=atan2(b.y-ymn,b.x-xmn);
	int dis1=(a.y-ymn)*(a.y-ymn)+(a.x-xmn)*(a.x-xmn);
	int dis2=(b.y-ymn)*(b.y-ymn)+(b.x-xmn)*(b.x-xmn);
	if(k1!=k2) {
		return k1<k2;
	}
	return dis1<dis2;
}

vector<point> cv[2];
stack<int> s;

void find_convex(int t) {
	int idx=0;
	for(int i=1;i<=n;i++) {
		if(p[i].vis) {
			continue;
		}
		if(!idx) {
			idx=i;
		}
		if(p[i].y<p[idx].y) {
			idx=i;
		}
		else if(p[i].y==p[idx].y&&p[i].x<p[idx].x) {
			idx=i;
		}
	}
	swap(p[1],p[idx]);
	ymn=p[1].y;
	xmn=p[1].x;
	sort(p+2,p+n+1,cmp);
	s.push(1);
	for(int i=2;i<=n;i++) {
		if(p[i].vis) {
			break;
		}
		while(s.size()>1) {
			int tp=s.top();
			s.pop();
			if(cross(p[tp]-p[s.top()],p[i]-p[tp])<0) {
				;
			}
			else {
				s.push(tp);
				break;
			}
		}
		s.push(i);
	}
	
	while(!s.empty()) {
		cv[t].push_back(p[s.top()]);
		p[s.top()].vis=1;
		s.pop();
	}
}

void solve() {
	cin>>n;
	for(int i=1;i<=n;i++) {
		p[i].x=read();p[i].y=read();
		p[i].vis=0;
	}
	
	find_convex(0);
	find_convex(1);
	if(cv[0].size()==n) {
		puts("-1");
		return ;
	} 
	
	for(int t=0;t<2;t++) {
		int sz=cv[t].size();
		for(int i=0;i<sz;i++) {
			cv[t].push_back(cv[t][i]);
		}
	}
	for(int t=0;t<2;t++) {
		int sz=cv[t].size();
		for(int i=0;i<sz;i++) {
			cv[t].push_back(cv[t][i]);
		}
	}
	
	int pos=0,mn=5e18,sum=0;
	int sz=cv[0].size();
	for(int j=0;j<cv[1].size()/4;j++) {
		if(abs(cross(cv[0][1]-cv[0][0],cv[0][0]-cv[1][pos]))<abs(cross(cv[0][1]-cv[0][0],cv[0][0]-cv[1][j]))) {
			pos=j;
		}
	}
	for(int i=0;i<sz/4;i++) {
		while(abs(cross(cv[0][i+1]-cv[0][i],cv[0][i]-cv[1][pos]))>abs(cross(cv[0][i+1]-cv[0][i],cv[0][i]-cv[1][pos+1]))) {
			pos=(pos+1)%(cv[1].size()/4);
		}
		mn=min(mn,abs(cross(cv[0][i+1]-cv[0][i],cv[0][i]-cv[1][pos])));
		/*for(int j=0;j<cv[1].size()/4;j++) {
			mn=min(mn,abs(cross(cv[0][i+1]-cv[0][i],cv[0][i]-cv[1][j])));
		}*/
		sum+=cross(cv[0][i],cv[0][i+1]);
	}
	sum=abs(sum); 
	cout<<(sum-mn)<<endl;
}

signed main() {
	//freopen(".in","r",stdin);
	//freopen(".out","w",stdout);
	
	int t=read();
	while(t--) {
		solve();
		cv[1].clear();
		cv[0].clear();
	}

	//fclose(stdin);
	//fclose(stdout);
	return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3956kb

input:

2
6
-2 0
1 -2
5 2
0 4
1 2
3 1
4
0 0
1 0
0 1
1 1

output:

40
-1

result:

ok 2 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 3996kb

input:

10
243
-494423502 -591557038
-493438474 -648991734
-493289308 -656152126
-491185085 -661710614
-489063449 -666925265
-464265894 -709944049
-447472922 -737242534
-415977509 -773788538
-394263365 -797285016
-382728841 -807396819
-373481975 -814685302
-368242265 -818267002
-344482838 -833805545
-279398...

output:

2178418010787347715
1826413114144932145
1651687576234220014
1883871859778998985
2119126281997959892
894016174881844630
2271191316922158910
1998643358049669416
1740474221286618711
1168195646932543192

result:

ok 10 lines

Test #3:

score: 0
Accepted
time: 93ms
memory: 3968kb

input:

1000
125
64661186 -13143076
302828013 -185438065
-418713797 -191594241
430218126 -397441626
354327250 -836704374
149668812 -598584998
311305970 66790541
199720625 -592356787
468137 -584752683
258775829 96211747
-358669612 -134890109
-129221188 -998432368
-277309896 -140056561
356901185 420557649
-51...

output:

1986320445246155278
1900093336073022078
1612088392301142476
2012259136539173407
1819942017252118749
1772230185841892196
1164835025329039520
1527446155241140517
1807368432185303666
1236918659444944569
1306839249967484778
1984123720246784099
1868728080720036006
667458140583450322
2127932992585026491
4...

result:

ok 1000 lines

Test #4:

score: 0
Accepted
time: 81ms
memory: 3952kb

input:

10000
9
484630042 51929469
-40468396 -517784096
98214104 -103353239
629244333 -475172587
106398764 153884485
49211709 -44865749
1 10
166321833 -247717657
406208245 668933360
13
548702216 -631976459
37150086 -292461024
707804811 -486185860
239775286 -903166050
10096571 -541890068
686103484 558731937
...

output:

950319193795831919
1661025342421008544
1285164852091455548
1159924751776806668
1206071151805176722
794021230296144371
699991678992587791
1133990718508584290
1486311831172661605
984875884297072200
1327767982175057345
758247019006396699
1355381234262206155
1139262078529131471
1613462877860621700
12392...

result:

ok 10000 lines

Test #5:

score: 0
Accepted
time: 269ms
memory: 4928kb

input:

100
439
471536154 -312612104
155692036 -937312180
-461624056 -357636609
236656684 -911414873
-288656914 -74788431
-465779694 -381475149
-334197401 -903065737
491513067 -447615916
337664889 -852236281
-281689379 -53519178
-159101704 -920779200
-326159514 -95396204
21868593 -994282736
488425383 -41046...

output:

1973162724053130487
2054612790507830954
1726805687754843724
1699420177872986528
2129388571309147631
2198295137903288810
1697185883164440272
1219697450095721478
2027023581922285255
1674691247127206655
1673105966817209954
2179188692918747442
2146544318743443141
2230356305133660648
1676850321902993764
...

result:

ok 100 lines

Test #6:

score: 0
Accepted
time: 212ms
memory: 4776kb

input:

100
1362
-467257672 -466669
-467054869 -478108
-466973270 -481776
-466556983 -499770
-466329414 -508693
-466248017 -511805
-466158865 -513786
-466101273 -515035
-465927700 -518748
-465717624 -522106
-465303448 -528127
-465124548 -530726
-464649746 -536693
-464554872 -537799
-464478196 -538680
-46416...

output:

1666097696993497
1791366071767866
1806187278469532
1683419854733713
1685891971828916
1730190225081651
1787048201197565
1850308098208660
1710694884375502
1826363113637639
1816375352374659
2047431269497691
1549806516003854
1829438662895747
1678707854135065
1687423392883819
2121960009997761
16687219538...

result:

ok 100 lines

Test #7:

score: 0
Accepted
time: 192ms
memory: 12208kb

input:

2
62666
-486101704 -505730259
-486101698 -506082699
-486101689 -506111362
-486101682 -506126031
-486101528 -506293759
-486101259 -506556385
-486101196 -506613483
-486101154 -506648604
-486100935 -506831392
-486100631 -507083675
-486100470 -507199151
-486100233 -507368923
-486100193 -507397039
-48609...

output:

2178736946152219010
1825181940245096152

result:

ok 2 lines

Test #8:

score: 0
Accepted
time: 337ms
memory: 13132kb

input:

2
100000
301945097 76373292
467957663 -286424714
8245445 -597212507
-474204621 -708828667
184159460 105942538
443435905 -429212625
490658771 -382198656
82512047 -612522436
-228221388 -965890088
394789011 -145801151
-106120174 -528202395
428939626 -194437311
497429477 -527407728
365739746 -114818962
...

output:

2502889432701099511
2267250485735988121

result:

ok 2 lines

Test #9:

score: 0
Accepted
time: 372ms
memory: 17396kb

input:

2
100000
221128057 -975244780
-618765360 -785575858
422567455 -906331476
-988680318 -150037424
-929870145 367887908
-757813541 -652471177
291995621 -956419655
-785381507 619012026
468864522 -883270094
-588416522 808557973
859345881 511394814
988105866 153775152
216931298 -976186873
467050734 8842305...

output:

6283183114882825575
6283183188903854361

result:

ok 2 lines

Test #10:

score: 0
Accepted
time: 0ms
memory: 4072kb

input:

7
5
-1000000000 -1000000000
1000000000 -1000000000
1000000000 1000000000
1 0
-1 0
5
1000000000 1000000000
-1000000000 -1000000000
-2 0
-1 0
1 -1
6
1000000000 1000000000
-1000000000 -1000000000
-3 0
-1 0
0 -1
1 -1
4
-1000000000 -1000000000
1000000000 -1000000000
1000000000 1000000000
-1000000000 1000...

output:

4000000000000000000
7000000000
9000000001
-1
6000000002000000000
7999999998000000000
-1

result:

ok 7 lines

Extra Test:

score: 0
Extra Test Passed