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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#745768#9520. Concave HulluukuAC ✓31ms10384kbC++148.8kb2024-11-14 11:28:122024-11-14 11:28:17

Judging History

你现在查看的是最新测评结果

  • [2024-11-14 11:28:17]
  • 评测
  • 测评结果:AC
  • 用时:31ms
  • 内存:10384kb
  • [2024-11-14 11:28:12]
  • 提交

answer

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

namespace ModInt{
	template <uint32_t mod>
	struct mint
	{
		#define i32 int32_t
		#define u32 uint32_t
		#define u64 uint64_t
		static constexpr u32 get_r(){u32 ret=mod;for(i32 i=0;i<4;++i)ret*=2-mod*ret;return ret;}
		static constexpr u32 r=get_r();
		static const u32 n2=-u64(mod)%mod;
		static const u32 mod2=mod<<1;
		u32 a;
		constexpr mint():a(0){}
		constexpr mint(const int64_t &b):a(reduce(u64(b%mod+mod)*n2)){};
		static constexpr u32 reduce(const u64 &b){return (b+u64(u32(b)*u32(-r))*mod)>>32;}
		const mint &operator+=(const mint &b){if(i32(a+=b.a-mod2)<0)a+=mod2;return *this;}
		const mint &operator-=(const mint &b){if(i32(a-=b.a)<0)a+=mod2;return *this;}
		const mint &operator*=(const mint &b){a=reduce(u64(a)*b.a);return *this;}
		const mint &operator/=(const mint &b){*this*=b.inverse();return *this;}
		const mint operator+(const mint &b)const{return mint(*this)+=b;}
		const mint operator-(const mint &b)const{return mint(*this)-=b;}
		const mint operator*(const mint &b)const{return mint(*this)*=b;}
		const mint operator/(const mint &b)const{return mint(*this)/=b;}
		const bool operator==(const mint &b)const{return(a>=mod?a-mod:a)==(b.a>=mod?b.a-mod:b.a);}
		const bool operator!=(const mint &b)const{return(a>=mod?a-mod:a)!=(b.a>=mod?b.a-mod:b.a);}
		const mint operator-()const{return mint()-mint(*this);}
		const mint ksm(u64 n)const{mint ret(1);for(mint mul(*this);n;n>>=1,mul*=mul)if(n&1)ret*=mul;return ret;}
		const mint inverse()const{return ksm(mod-2);}
		friend ostream &operator<<(ostream &os, const mint &b){return os<<b.get();}
		friend istream &operator>>(istream &is, mint &b){int64_t t;is>>t;b=mint(t);return(is);}
		const u32 get()const{u32 ret=reduce(a);return ret>=mod?ret-mod:ret;}
		static const u32 get_mod(){return mod;}
	};
}
using namespace ModInt;

namespace FAST_IO{
	#define ll long long
	#define ull unsigned long long
	#define db double
	#define _8 __int128_t
	#define Get() (BUF[Pin++])
	const int LEN=1<<20;
	char BUF[LEN];
	int Pin=LEN;
	inline void flushin(){memcpy(BUF,BUF+Pin,LEN-Pin),fread(BUF+LEN-Pin,1,Pin,stdin),Pin=0;return;}
	inline char Getc(){return (Pin==LEN?(fread(BUF,1,LEN,stdin),Pin=0):0),BUF[Pin++];}
	template<typename tp>inline tp read(){(Pin+40>=LEN)?flushin():void();tp res=0;char f=1,ch=' ';for(;ch<'0'||ch>'9';ch=Get())if(ch=='-')f=-1;for(;ch>='0'&&ch<='9';ch=Get())res=(res<<3)+(res<<1)+ch-48;return res*f;}
	template<typename tp>inline void read(tp &n){(Pin+40>=LEN)?flushin():void();tp res=0;char f=1,ch=' ';for(;ch<'0'||ch>'9';ch=Get())if(ch=='-')f=-1;for(;ch>='0'&&ch<='9';ch=Get())res=(res<<3)+(res<<1)+ch-48;n=res*f;return;}
	inline int readstr(char *s){int len=0;char ch=Getc();while(!isalnum(ch))ch=Getc();while(isalnum(ch))s[len++]=ch,ch=Getc();return len;}
	#define Put(x) (PUF[Pout++]=x)
	char PUF[LEN];
	int Pout;
	inline void flushout(){fwrite(PUF,1,Pout,stdout),Pout=0;return;}
	inline void Putc(char x){if(Pout==LEN)flushout(),Pout=0;PUF[Pout++]=x;}
	template<typename tp>inline void write(tp a,char b='\n'){static int stk[40],top;(Pout+50>=LEN)?flushout():void();if(a<0)Put('-'),a=-a;else if(a==0)Put('0');for(top=0;a;a/=10)stk[++top]=a%10;for(;top;--top)Put(stk[top]^48);Put(b);return;}
	inline void wt_str(string s){for(char i:s)Putc(i);return;}
}
using namespace FAST_IO;

#define pii pair<int,int>
#define fi first
#define se second
#define ls (rt<<1)
#define rs (rt<<1|1)
#define Ls (tr[rt].lc)
#define Rs (tr[rt].rc)

#define JH ll

const db eps = 1e-8;

int sgn(JH x)
{
	if(fabs(x) < eps) return 0;
	if(x < 0) return -1;
	return 1;
}

struct Point{
	JH x,y;
	Point(){}
	Point(JH _x, JH _y):x(_x),y(_y){}
	Point operator + (const Point b) const {
		return {x + b.x, y + b.y};
	}
	Point operator - (const Point b) const {
		return {x - b.x, y - b.y};
	}
	JH operator * (const Point b) const {
		return x * b.x + y * b.y;
	}
	JH operator ^ (const Point b) const {
		return x * b.y - y * b.x;
	} // a^b>0 则 b 在 a 的逆时针方向, 
	  //a^b<0 则 b 在 a 的顺时针方向, 
	  //a^b=0 则通过 a*b 判断同向或反向 
	  
	double dist(const Point b) const {
		return sqrtl((x - b.x) * (x - b.x) + (y - b.y) * (y - b.y));
	}
	Point operator * (const JH k) const {
		return {x * k, y * k};
	} 
	Point operator / (const JH k) const {
		return {x / k, y / k};
	} 
	bool operator == (const Point b) const{
		return sgn(x - b.x) == 0 && sgn(y - b.y) == 0;
	}
	bool operator < (const Point b) const {
		return sgn(x - b.x) == 0 ? sgn(y - b.y) < 0 : sgn(x - b.x) < 0;
	}
    ///逆时针旋转90度
    Point rotleft(){
        return {y,-x};
    }
    ///顺时针旋转90度
    Point rotright(){
        return {y,-x};
    }
};

struct Segment{
	Point a, b;
	Segment() {}
	Segment(Point _a, Point _b):a(_a), b(_b) {}
	
	bool ifPointOn(const Point p) const {
		return sgn( (p - a) ^ (b - a) ) == 0 && sgn( (p - a) * (p - b) ) <= 0;
	}
	
	double disPoint(const Point p) const {
		if( sgn( (p - a) * (b - a) ) < 0 || sgn ( (p - b) * (a - b) ) < 0)
			return min(p.dist(a), p.dist(b));
		return fabs( (p - a) ^ (b - a) ) / (p - a).dist({0, 0});
	}
	
	//2 规范相交
	//1 非规范相交
	//0 不相交 
	
	int crossSeg(const Segment v) const {
		int d1 = sgn((b - a) ^ (v.a - a));
		int d2 = sgn((b - a) ^ (v.b - a));
		int d3 = sgn((v.b - v.a) ^ (a - v.a));
		int d4 = sgn((v.b - v.a) ^ (b - v.a));
		if((d1 ^ d2) == -2 && (d3 ^ d4) == -2) return 2;
		
		return (d1 == 0 && sgn((v.a - a) * (v.a - b)) <= 0) ||
			   (d2 == 0 && sgn((v.b - a) * (v.b - b)) <= 0) ||
			   (d3 == 0 && sgn((a - v.a) * (a - v.b)) <= 0) ||
			   (d4 == 0 && sgn((b - v.a) * (b - v.b)) <= 0); 
	} 
	
	double disSeg(const Segment v) const {
		return min({disPoint(v.a), disPoint(v.b), v.disPoint(a), v.disPoint(b)});
	}
};

struct Line{
	Point a, b;
	Line() {}
	Line(Point _a, Point _b):a(_a), b(_b) {} 
	
	//-1 p 在 ab 左侧, 0 p 在 ab 上, 1 p 在 ab 右侧. 
	int relation(const Point p) const {
		return sgn( (p - a) ^ (b - a) );
	}
	// 点到直线距离 
	double disPoint(const Point p) const {
		return fabs( (p - a) ^ (b - a) ) / (p - a).dist({0, 0});
	}
};


// 求向量 a,b 的夹角 
double rad(Point a, Point b) // atan2(y,x) 返回 y/x 的反正切, 返回值为 [-pi,pi] 的一个值 
{
	return fabs(atan2(fabs(a^b),a*b));
}

//2 规范相交 1 非规范相交(端点处相交) 0 不相交 
int LineCrossSeg(Line a, Segment b)
{
	int d1 = sgn( (b.b - b.a) ^ (a.a - b.a) );
	int d2 = sgn( (b.b - b.a) ^ (a.b - b.a) );
	if( (d1 ^ d2) == -2 ) return 2;
	return (d1 == 0 || d2 == 0);
}

vector<Point> ConvexHull(vector<Point> &p,vector<int>&used)
{
	vector<Point>ans;
	vector<int>stk;
	int n = p.size();
	stk.resize(n+10);
	used.resize(n);
	int top = 0;
	sort(p.begin(),p.end());
	for(int i = 0; i < n; ++i)
	{
		while(top>=2 && sgn((p[stk[top]] - p[stk[top - 1]]) ^ (p[i] - p[stk[top]])) <= 0)
			used[stk[top--]] = 0;
		used[i] = 1;
		stk[++top] = i;
	}
	used[0]=0;
	int tmp = top;
	for (int i = n - 1; i >= 0; i--)
		if(!used[i])
		{
			while(top > tmp && sgn((p[stk[top]] - p[stk[top - 1]]) ^ (p[i] - p[stk[top]])) <= 0)
				used[stk[top--]] = 0;
			used[i] = 1;
			stk[++top] = i;
		}
	top--;
	for(int i = 1; i <= top; i++)
		ans.push_back(p[stk[i]]);
	return ans;
}
const int N=1e5+10;
vector<Point>p,p2,CH,CH2;
vector<int>used;
Point tmp;
int n,T;
ll ans,S;
ll get_S(int i,int j)
{
	return abs((CH[i]-CH2[j])^(CH[(i+1)%CH.size()]-CH2[j]));
}
int main()
{
//	freopen("B.in","r",stdin);
	read(T);
	while(T--)
	{
		p.clear();
		p2.clear();
		CH.clear();
		CH2.clear();
		used.clear();
		read(n);
		for(int i=1,x,y;i<=n;i++)
		{
			read(x),read(y);
			p.push_back({x,y});
		}
		CH=ConvexHull(p,used);
//		puts("1111");
//		for(int i=0;i<n;i++)
//			printf("%d",used[i]);
//		puts("");
		for(int i=0;i<n;i++)
			if(!used[i])
				p2.push_back(p[i]);
		used.clear();
		if(p2.size()==0)
		{
			write(-1);
			continue;
		}
		if(p2.size()>2)	CH2=ConvexHull(p2,used);
		else CH2=p2;
		S = 0;
//		puts("222");
		for(int i = 0; i < CH.size(); i++)
			S += CH[i] ^ CH[(i + 1) % CH.size()];
		S = abs(S);
//		printf("S:%lld\n",S);
		ans = 4e18;
//		puts("1:");
//		for(Point p:CH)
//			printf("%d %d\n",p.x,p.y);
//		printf("%d\n",CH2.size());
//		puts("2:");
//		for(Point p:CH2)
//			printf("%d %d\n",p.x,p.y);
		for(int i = 0,pp = 0; i < CH.size(); i++)
		{
			while(get_S(i,(pp+1)%CH2.size())<get_S(i,pp))
			{
				pp=(pp+1)%CH2.size();
			}
			
			while(get_S(i,(pp+CH2.size()-1)%CH2.size())<get_S(i,pp))
			{
				pp=(pp+CH2.size()-1)%CH2.size();
			}
//			printf("%d %d %lld %lld\n",i,pp,get_S(i,(pp+1)%CH2.size()),get_S(i,2));
			ans=min(ans,get_S(i,pp));
		}
		write(S-ans);
		
	} 
	flushout();
	return 0;
}
/*
2
6
-2 0
1 -2
5 2
0 4
1 2
3 1
4
0 0
1 0
0 1
1 1
*/




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: 3904kb

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: 3892kb

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: 9ms
memory: 4760kb

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: 13ms
memory: 4776kb

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: 28ms
memory: 5080kb

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: 21ms
memory: 5180kb

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: 14ms
memory: 7832kb

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: 30ms
memory: 10236kb

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: 31ms
memory: 10384kb

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: 3832kb

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