QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#708309#9520. Concave HulllzyAC ✓60ms12980kbC++233.7kb2024-11-03 21:19:102024-11-03 21:19:16

Judging History

你现在查看的是最新测评结果

  • [2024-11-03 21:19:16]
  • 评测
  • 测评结果:AC
  • 用时:60ms
  • 内存:12980kb
  • [2024-11-03 21:19:10]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define IOS ios::sync_with_stdio(0);cin.tie(0);cout.tie(0)
typedef long long ll;
const double pi=acos(-1.0); //圆周率,精确到了15位。圆周率:3.14159265358979323846
const double eps=1e-8;   //偏差值。
int sgn(double x)
{
	if(fabs(x)<eps) return 0;  //x==0,返回0。
	else return x<0?-1:1;     //x<0返回-1,x>0返回1。
}
int dcmp(double x,double y)
{
	if(fabs(x-y)<eps) return 0;
	else return x<y?-1:1;
}
struct Point{
	ll x,y;
	int id;
	Point(){}
	Point(ll x,ll y):x(x),y(y){}
	Point operator + (Point B) {return Point(x+B.x,y+B.y);}
	Point operator - (Point B) {return Point(x-B.x,y-B.y);}
	Point operator * (double k) {return Point(x*k,y*k);}
	Point operator / (double k) {return Point(x/k,y/k);}
	bool operator == (Point B) {return sgn(x-B.x)==0&&sgn(y-B.y)==0;}
	bool operator < (Point B){
		return (sgn(x-B.x)<0)||(sgn(x-B.x)==0&&sgn(y-B.y)<0);
	}
};
//两点间距离
double Dist(Point A,Point B) { return sqrt((A.x-B.x)*(A.x-B.x)+(A.y-B.y)*(A.y-B.y));}

typedef Point Vector;

//点积,>0锐角,<0钝角,=0直角
double Dot(Vector A,Vector B){ return A.x*B.x+A.y*B.y; }

//求向量A的长度
//有小数
double Len1(Vector A){return sqrt(Dot(A,A));}
//不开方,用于比较长度
double Lne2(Vector A){return Dot(A,A);}

//求向量A和向量B的夹角
double Angle(Vector A,Vector B){return acos(Dot(A,B)/Len1(A)/Len1(B));}

//叉积 >0在A的逆时针方向,<0在A的顺时针方向,=0共线(可能同向或反向)
ll Cross(Vector A,Vector B){return A.x*B.y-A.y*B.x;}

//已知一条直线两点a,b,求点c到直线的距离
double dist_line(Point a,Point b,Point c)
{
    Point v1=b-a,v2=c-b;
    return fabs(Cross(v1,v2)/Len1(v1));
}

ll S(Point a,Point b,Point c)
{
	return abs(Cross(a-b,a-c));
}

int Convex_hull(Point *p,int n,Point *ch)
{
	//n=unique(p,p+n)-p;//对点去重
	sort(p,p+n);  //对点排序:
	int v=0;
	//求下凸包,如果p[i]是右拐弯的,这个点不在凸包上,退回
	for(int i=0;i<n;i++)
	{
		while(v>1&&sgn(Cross(ch[v-1]-ch[v-2],p[i]-ch[v-1]))<=0)
			v--;
		ch[v++]=p[i];
	}
	int j=v;
	//求上凸包
	for(int i=n-2;i>=0;i--)
	{
		while(v>j&&sgn(Cross(ch[v-1]-ch[v-2],p[i]-ch[v-1]))<=0)
			v--;
		ch[v++]=p[i];
	}
	if(n>1)    //返回值v是凸包的顶点数
		v--;
	return v;
}
const int N=1e5+10;
Point p[N],ch[N],p1[N],ch1[N];
int main()
{
	IOS;
	int T;
	cin>>T;
	while(T--)
	{
		ll n;
		cin>>n;
		for(int i=0;i<n;i++)
		{
			cin>>p[i].x>>p[i].y;
			p[i].id=i;
		}
		vector<ll>vis(n+10);
		int t=Convex_hull(p,n,ch);
		if(t==n)
		{
			cout<<"-1\n";
		}
		else
		{
			ll sum=0;
			for(int i=0;i<t;i++)
			{
				long double t1;
				vis[ch[i].id]=1;
				t1=Cross(ch[i],ch[(i+1)%n]);
				sum+=t1;
			}
			sum=abs(sum);
			ll m=0;
			for(int i=0;i<n;i++)
			{
				if(vis[p[i].id]==0)
				{
					p1[m]=p[i];
					m++;
				}
			}
			if(m<3)
			{
				ll max1=0;
				for(int i=0;i<m;i++)
				{
					for(int j=0;j<t;j++)
					{
						ll t1=S(p1[i],ch[j],ch[(j+1)%t]);
						if(t1)
							max1=max(max1,sum-t1);
					}
				}
				cout<<(ll)max1<<"\n";
			}
			else
			{
				int t1=Convex_hull(p1,m,ch1);
				ll min1;
				ll l=0;
				for(int i=0;i<t1;i++)
				{
					if(S(ch1[i],ch[0],ch[1])<S(ch1[l],ch[0],ch[1]))
						l=i;
				}
				min1=S(ch1[l],ch[0],ch[1]);
				for(int i=0;i<t;i++)
				{
					ll x=(i+1)%t;
					while(S(ch1[(l+1)%t1],ch[i],ch[x])<S(ch1[l],ch[i],ch[x]))
						l=(l+1)%t1;
					while(S(ch1[(l-1+t1)%t1],ch[i],ch[x])<S(ch1[l],ch[i],ch[x]))
						l=(l-1+t1)%t1;
					min1=min(min1,S(ch1[l],ch[i],ch[x]));
				}
				cout<<(ll)(sum-min1)<<"\n";
			}
		}
	}
	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: 2ms
memory: 9976kb

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: 9676kb

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: 20ms
memory: 10020kb

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: 30ms
memory: 9776kb

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: 52ms
memory: 10036kb

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: 41ms
memory: 12108kb

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: 26ms
memory: 11464kb

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: 59ms
memory: 12368kb

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: 60ms
memory: 12980kb

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: 1ms
memory: 9748kb

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