QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#533073#5079. Empty QuadrilateralsBongoCatEnjoyerAC ✓952ms3912kbC++145.3kb2024-08-25 16:49:172024-08-25 16:49:17

Judging History

你现在查看的是最新测评结果

  • [2024-08-25 16:49:17]
  • 评测
  • 测评结果:AC
  • 用时:952ms
  • 内存:3912kb
  • [2024-08-25 16:49:17]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

#define int long long
#define ll long long
#define forn(i, n) for (ll i = 0; i < n; ++i)
#define forr(i, s, n) for (ll i = s; i < n; ++i)
#define fori(i, s, n) for (ll i = s; i > n; --i)
#define fora(i, n) for (auto i: n)
#define vi vector<int>
#define vll vector<ll>
#define prints(n) cout << (n) << " "
#define println(n) cout << (n) << "\n"

const int MOD = 998244353;
// const int MOD = 1e9 + 7;



 template <class T> int sgn(T x){return (x>0)-(x<0);}
 template<class T>
 struct Point{
 typedef Point P;
 T x,y;
 explicit Point(T x=0,T y=0):x(x),y(y){}
 bool operator<(P p) const{return tie(x,y)<tie(p.x,p.y);}
 bool operator==(P p)const{return tie(x,y)==tie(p.x,p.y);}
 P operator+(P p) const{return P(x+p.x,y+p.y);}
 P operator-(P p) const{return P(x-p.x,y-p.y);}
 P operator*(T d) const{return P(x*d,y*d);}
 P operator/(T d) const{return P(x/d,y/d);}
 T dot(P p) const{return x*p.x+y*p.y;}
 T cross(P p) const{return x*p.y-y*p.x;}
 T cross(P a,P b) const{return (a-*this).cross(b-*this);}
 T dist2() const{return x*x+y*y;}
 double dist() const{return sqrt((double)dist2());}
 // angle to x axis in interval [ pi, pi]
 double angle() const{return atan2(y,x);}
 P unit() const{return *this/dist();}//makes dist()=1
 P perp() const{return P(-y,x);}// rotates+90degrees
 P normal() const{return perp().unit();}
 // returns point rotated a radians ccwaround the origin
 P rotate(double a) const{
 return P(x*cos(a)-y*sin(a),x*sin(a)+y*cos(a));}
 friend ostream& operator<<(ostream&os,P p){
 return os<<"("<<p.x<<","<<p.y<<")";}
 };

typedef Point<long long> P;
vector<P> point;


class Compare
{
public:
    bool operator() (const P& a, const P& b)
    {
        return true;
    }
};

void solve() {

    int n;
    cin >> n;
    point.resize(n);
    for (auto& i : point) cin >> i.x >> i.y;


    int nonConvex = 0, convex = 0;
    for (int i = 0;i < point.size();i++){
        for (int j = i+1;j < point.size();j++){
            vector<P> lP;
            vector<P> rP;
            for (int k = 0;k < point.size();k++){
                if (k == i || k == j) continue;
                if (point[i].cross(point[j],point[k]) > 0) lP.push_back(point[k]);
                else rP.push_back(point[k]);
            }
            // cout << "i " << i << " " << j << endl;

            auto smallerAngleA = [&] (const P& a, const P& b){
                return point[i].cross(a,b) >= 0;
            };

            auto smallerAngleB = [&] (const P& a, const P& b){
                return point[j].cross(a,b) <= 0;
            };

            auto smallerAngleAInv = [&] (const P& a, const P& b){
                return point[i].cross(a,b) <= 0;
            };

            auto smallerAngleBInv = [&] (const P& a, const P& b){
                return point[j].cross(a,b) >= 0;
            };


            vector<P> valLP;
            vector<P> valRP;

            sort(lP.begin(), lP.end(), smallerAngleA);

            priority_queue<P, vector<P>, decltype(smallerAngleBInv)> pq(smallerAngleBInv);
            for (int k = 0;k < lP.size();k++){
                pq.push(lP[k]);
                // cout << "top: "<< pq.top() << endl;
                if (lP[k] == pq.top()){
                    valLP.push_back(lP[k]);

                }
            }

            sort(rP.begin(), rP.end(), smallerAngleBInv);

            // cout << "rp sorted:\n";
            // for (auto i : rP){
            //     cout << i << endl;
            // }
            // cout << "-----\n";      

            priority_queue<P, vector<P>, decltype(smallerAngleA)> pq2(smallerAngleA);
            for (int k = 0;k < rP.size();k++){
                pq2.push(rP[k]);
                if (rP[k] == pq2.top()){
                    valRP.push_back(rP[k]);
                }
            }

            // cout << "lp:\n";
            // for (auto i : valLP){
            //     cout << i << endl;
            // }
            // cout << "-----\n";
            // cout << "rp:\n";
            // for (auto i : valRP){
            //     cout << i << endl;
            // }
            // cout << "-----\n";

            for (int k = 0;k < valLP.size();k++){
                // cout << "masukk\n";
                int idkiri = upper_bound(valRP.begin(),valRP.end(),true, [&] (bool val, const P& a){
                    return !(valLP[k].cross(point[i],a) < 0);
                }) - valRP.begin() - 1 ;
                int idkanan = upper_bound(valRP.begin(),valRP.end(),true, [&] (bool val, const P& a){
                    return !(valLP[k].cross(point[j],a) < 0);
                }) - valRP.begin() - 1;
                // cout << idkiri << " " << idkanan << endl;
                int addconvex = idkanan-idkiri;
                int addnon = valRP.size()-addconvex;
                convex += addconvex;
                nonConvex += addnon;

                // cout << "hasil nonconvex :" << nonConvex << endl;
                // cout << "hasil convex :" << convex << endl;
            }


        }
    }
    // cout << nonConvex << " " << convex <<
    cout << nonConvex + convex/2 << endl;
}

int32_t main() {
    ios::sync_with_stdio(false);
    cin.tie(NULL);

    int t = 1;
    // cin >> t;
    while (t--) solve();

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3560kb

input:

5
0 0
2 4
6 2
6 -2
7 3

output:

8

result:

ok single line: '8'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

4
0 0
10 0
5 10
3 2

output:

3

result:

ok single line: '3'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

10
10 10
1 0
4 8
-1 -4
-7 -4
-3 2
5 -10
-10 -5
1 1
5 -3

output:

170

result:

ok single line: '170'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

1
0 0

output:

0

result:

ok single line: '0'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

2
0 0
1 0

output:

0

result:

ok single line: '0'

Test #6:

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

input:

3
0 0
1 0
10 10

output:

0

result:

ok single line: '0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

4
0 0
1 0
1 1
0 1

output:

1

result:

ok single line: '1'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3508kb

input:

4
-1000000000 1000000000
1000000000 1000000000
1000000000 -1000000000
-1000000000 -1000000000

output:

1

result:

ok single line: '1'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

4
-8 -3
1 1
7 0
-10 1

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

5
-5 8
-7 6
8 9
-8 -7
3 1

output:

5

result:

ok single line: '5'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

10
-82 -34
9 -90
-67 13
80 -31
-45 51
28 90
-90 -75
58 33
-12 71
90 -80

output:

210

result:

ok single line: '210'

Test #12:

score: 0
Accepted
time: 26ms
memory: 3888kb

input:

100
3759 9658
2910 -9943
4170 9478
-7675 -6575
-6661 7820
6123 8295
9859 -498
9799 42
-2324 -9578
-6860 7649
2269 -9996
8777 4515
8363 5630
6479 8015
-9991 -1944
8574 -7477
8687 -7393
7206 7266
5208 8983
-9081 -4460
-4262 9116
9722 651
9881 -5725
-4899 8911
9867 -592
-7206 7053
-3828 -9346
7471 6976...

output:

3921225

result:

ok single line: '3921225'

Test #13:

score: 0
Accepted
time: 274ms
memory: 3600kb

input:

203
-980345 -265686
-146271 -978033
917841 -441678
-916267 446738
-928177 -428655
850137 -573235
-525140 -879110
-563115 -865718
19693 999740
-304353 -948387
287100 -986973
-329294 -941062
936446 -395687
-933810 -415914
-27770 -989661
120040 -999643
899311 -480711
793647 625727
999790 7708
991740 -1...

output:

68685050

result:

ok single line: '68685050'

Test #14:

score: 0
Accepted
time: 952ms
memory: 3616kb

input:

300
-109565666 -999084112
987010217 283882659
902175413 602257050
-649185052 919125832
776751215 -617742367
-997974804 287676067
-880568072 -587807228
-537465923 -936971665
-75548128 -997577354
-43885301 997630537
155312299 -972230096
-882508267 -583190585
-562836073 946534352
14128786 994305968
591...

output:

330791175

result:

ok single line: '330791175'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

4
-1 0
0 1
0 0
1 -1

output:

3

result:

ok single line: '3'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

4
-1000000 0
0 1000000
0 0
1000000 -1000000

output:

3

result:

ok single line: '3'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

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

output:

8

result:

ok single line: '8'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

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

output:

9

result:

ok single line: '9'

Test #19:

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

input:

6
0 -4
2 4
8 -1
-2 0
6 -2
5 -3

output:

18

result:

ok single line: '18'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3556kb

input:

6
0 -4
2 4
8 -1
-2 0
6 -1
5 -3

output:

19

result:

ok single line: '19'

Test #21:

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

input:

6
0 -4
2 4
8 -1
-2 0
1 -1
5 -3

output:

20

result:

ok single line: '20'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

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

output:

22

result:

ok single line: '22'

Test #23:

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

input:

7
-63 100
51 -100
100 50
50 92
44 -96
0 90
-100 36

output:

37

result:

ok single line: '37'

Test #24:

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

input:

7
-63 100
51 -100
100 50
50 92
44 -96
40 80
-100 36

output:

38

result:

ok single line: '38'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

7
-63 100
51 -100
100 50
50 92
44 -96
0 0
-100 36

output:

39

result:

ok single line: '39'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

7
0 -40
20 40
80 -10
-20 00
60 -20
0 0
50 -30

output:

40

result:

ok single line: '40'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

7
0 -40
20 40
80 -10
-20 00
60 -10
0 0
50 -30

output:

42

result:

ok single line: '42'

Test #28:

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

input:

7
0 -40
20 40
80 -10
-20 00
60 -10
20 0
50 -30

output:

42

result:

ok single line: '42'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

7
0 -40
20 40
80 -10
-20 00
10 -10
20 0
50 -30

output:

40

result:

ok single line: '40'

Test #30:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

7
0 -40
20 40
80 -10
-20 00
40 -10
0 0
50 -30

output:

42

result:

ok single line: '42'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

7
-20 30
40 -10
50 30
20 20
40 10
30 0
80 0

output:

42

result:

ok single line: '42'

Test #32:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

9
-1000000 1000000
1000000 1000000
1000000 -1000000
-1000000 -1000000
-1 -2
1 0
3 1
5 0
1 4

output:

113

result:

ok single line: '113'

Test #33:

score: 0
Accepted
time: 845ms
memory: 3612kb

input:

300
0 -40
20 40
80 -10
-20 00
60 -20
0 0
50 -30
3759 9658
2910 -9943
4170 9478
-7675 -6575
-6661 7820
6123 8295
9859 -498
9799 42
-2324 -9578
-6860 7649
2269 -9996
8777 4515
8363 5630
6479 8015
-9991 -1944
8574 -7477
8687 -7393
7206 7266
5208 8983
-9081 -4460
-4262 9116
9722 651
9881 -5725
-4899 891...

output:

48777998

result:

ok single line: '48777998'

Test #34:

score: 0
Accepted
time: 851ms
memory: 3676kb

input:

300
-63 100
51 -100
100 50
50 92
44 -96
0 0
-100 36
3759 9658
2910 -9943
4170 9478
-7675 -6575
-6661 7820
6123 8295
9859 -498
9799 42
-2324 -9578
-6860 7649
2269 -9996
8777 4515
8363 5630
6479 8015
-9991 -1944
8574 -7477
8687 -7393
7206 7266
5208 8983
-9081 -4460
-4262 9116
9722 651
9881 -5725
-4899...

output:

45037874

result:

ok single line: '45037874'

Test #35:

score: 0
Accepted
time: 236ms
memory: 3900kb

input:

200
7006 -177
3756 -39
9872 -2618
8860 -8435
8567 -8858
3007 -9855
6431 -78
9573 -1996
645 -7499
3665 -9945
8083 -9316
4098 -11
8951 -1249
5575 -9951
8726 -1037
537 -1720
5520 -9957
9963 -4363
2960 -124
2250 -218
129 -5825
2687 -9786
6657 -9789
4055 -9977
9876 -5238
1496 -746
1577 -8771
2099 -290
12...

output:

9540323

result:

ok single line: '9540323'

Test #36:

score: 0
Accepted
time: 877ms
memory: 3640kb

input:

300
-501908338 -342208696
-10167056 -346610906
-674262068 -513861820
740719799 -20856381
668020647 118853908
-594640750 -576677796
300321882 646151426
-253013235 593016512
902927188 793410806
-301044865 318724915
-486058015 -496110017
-351177263 -743387574
807088372 54542457
208214529 -524493165
-69...

output:

2795836

result:

ok single line: '2795836'

Test #37:

score: 0
Accepted
time: 872ms
memory: 3664kb

input:

300
-482422458 -650575249
739358757 -239520925
-788783744 -570062901
-418837911 -745067752
423436230 819110878
841974335 -613836194
-768284217 720559856
-358549450 -256316335
291277639 -897729580
-110268594 -700475931
175686758 -367088054
-530875306 258552250
-212148201 -472842853
503829688 -1360053...

output:

2814628

result:

ok single line: '2814628'

Test #38:

score: 0
Accepted
time: 875ms
memory: 3868kb

input:

300
356181715 89939368
-72443051 -704507906
-690966591 -279739694
-976538108 -341475796
93551668 -148779235
251274485 -116441701
849551224 -933105925
221551672 -277806162
411595935 -508423498
-490878234 -526198472
901722131 -943273082
-34626519 -349420547
664149659 -282364112
188299626 -41569992
-51...

output:

2708850

result:

ok single line: '2708850'

Test #39:

score: 0
Accepted
time: 870ms
memory: 3612kb

input:

300
31840392 166106964
358911007 869126535
-621777650 -300184792
-67883155 -75407554
322946753 327310839
278025305 248174787
-126604649 -128856871
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-321890281 428431976
-4185200 870480695
65151553 948684572
157543013 327022326
-432953230 59313390
130872597 499753387
186866250 7853...

output:

2745119

result:

ok single line: '2745119'

Test #40:

score: 0
Accepted
time: 867ms
memory: 3840kb

input:

300
-4385121 -503122347
734999363 642635536
515185589 -470338969
375650132 185233124
477179262 101130709
1000000000 1000000000
347997647 -1000000000
-660477475 -261237081
920751336 820224292
524777849 -49304657
580674293 -194540800
748256112 384808467
112178604 145725198
310736009 -631543545
6096309...

output:

2698071

result:

ok single line: '2698071'

Test #41:

score: 0
Accepted
time: 876ms
memory: 3564kb

input:

300
203045772 308711983
-916118373 318797670
-41260195 -986552053
637476708 950931779
-528765585 -353147471
990296819 98284627
-699115850 782110838
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-229547159 -709125382
975139869 169993037
509469330 110669354
-675216600 637346207
-953801852 327918372
-22772314 -249145451
9276083...

output:

2796264

result:

ok single line: '2796264'

Test #42:

score: 0
Accepted
time: 874ms
memory: 3616kb

input:

300
-944766581 480214191
-248842272 -753277593
-448997872 -482488443
-996752701 -260550745
-204818531 281299141
233897455 758175732
688878436 765531134
-823381320 -303603411
403496227 89922133
-357366993 320790475
-1000000000 -59389753
-658015306 826763677
538496279 900395547
703071549 677054086
-45...

output:

3509126

result:

ok single line: '3509126'

Test #43:

score: 0
Accepted
time: 866ms
memory: 3912kb

input:

300
-182831980 -969196441
414272271 951848039
-548245229 -783948441
801132021 -563171314
-345329194 -598054683
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507769882 -860203633
-47508636 999965834
653109611 -727477703
-269444125 -940959595
-230881125 -955536641
569600375 5562516...

output:

4762046

result:

ok single line: '4762046'

Test #44:

score: 0
Accepted
time: 852ms
memory: 3620kb

input:

300
-771154090 780208833
-885146379 618774890
-929480005 524450406
988987341 -251030240
-528198190 935166148
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960637514 -395444073
789192595 -780327590
18...

output:

9910427

result:

ok single line: '9910427'

Test #45:

score: 0
Accepted
time: 861ms
memory: 3676kb

input:

300
771496631 -715636432
-284370823 -992031886
221646111 -984376736
-502926656 942054170
957030786 250826089
-724998045 856842554
477328838 -923763580
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330239361 976675527
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975961758 153079132
880348453 495048261
6464...

output:

45124100

result:

ok single line: '45124100'

Test #46:

score: 0
Accepted
time: 910ms
memory: 3616kb

input:

300
-999157963 -18189049
495673938 -900812371
695856806 879843169
-646890746 843856158
-607964011 -861384114
-642823118 846244239
-843220933 678715057
999228694 348303755
-866562377 -584734435
-987109903 -216026832
1000000000 336971228
-758379032 -733372125
-407150315 945513929
969993871 485721162
8...

output:

146429294

result:

ok single line: '146429294'

Test #47:

score: 0
Accepted
time: 937ms
memory: 3684kb

input:

300
-884798186 738312829
-878931221 747555150
-975559797 -87153305
90984653 986432102
948135107 239847165
-972411704 479962936
-457628206 -898161096
189527452 965324546
685266767 -798324643
702689516 701905705
726151515 -764601703
-951644487 -184972102
770505738 609751583
296791271 934118777
8649066...

output:

262517341

result:

ok single line: '262517341'