QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#745768 | #9520. Concave Hull | uuku | AC ✓ | 31ms | 10384kb | C++14 | 8.8kb | 2024-11-14 11:28:12 | 2024-11-14 11:28:17 |
Judging History
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?
详细
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