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
#625695#7906. Almost ConvexflsTL 727ms3936kbC++205.0kb2024-10-09 20:30:502024-10-09 20:30:54

Judging History

你现在查看的是最新测评结果

  • [2024-10-09 20:30:54]
  • 评测
  • 测评结果:TL
  • 用时:727ms
  • 内存:3936kb
  • [2024-10-09 20:30:50]
  • 提交

answer

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

#define qmx(a,b) a<b?b:a
#define qmn(a,b) a>b?b:a
#define i64 long long
#define fr first
#define se second

template <class T, class G>
struct BaseVector2 {
    T x, y;
    constexpr BaseVector2() : BaseVector2(T{}, T{}) {}
    constexpr BaseVector2(T x, T y) : x{x}, y{y} {}

    // 运算
    constexpr BaseVector2 operator+(BaseVector2 a) const {
        return BaseVector2(x + a.x, y + a.y);
    }
    constexpr BaseVector2 operator-(BaseVector2 a) const {
        return BaseVector2(x - a.x, y - a.y);
    }
    constexpr BaseVector2 operator-() const {
        return BaseVector2(-x, -y);
    }
    constexpr G operator*(BaseVector2 a) const {
        return G(x) * a.x + G(y) * a.y;
    }
    constexpr G operator%(BaseVector2 a) const {
        return G(x) * a.y - G(y) * a.x;
    }
    constexpr BaseVector2 rotate() const {
        return BaseVector2(-y, x);
    }
    template<class Float>
    constexpr BaseVector2 rotate(Float theta) const {
        BaseVector2 b(cosl(theta), sinl(theta));
        return BaseVector2(x * b.x - y * b.y,
                           x * b.y + y * b.x);
    }
    constexpr friend BaseVector2 operator*(const T &a, BaseVector2 b) {
        return BaseVector2(a * b.x, a * b.y);
    }

    // 比较
    constexpr bool operator<(BaseVector2 a) const {
        if (x == a.x) {
            return y < a.y;
        }
        return x < a.x;
    }

    constexpr bool operator>(BaseVector2 a) const {
        if (x == a.x) {
            return y > a.y;
        }
        return x > a.x;
    }

    constexpr bool operator<=(BaseVector2 a) const {
        if (x == a.x) {
            return y <= a.y;
        }
        return x <= a.x;
    }

    constexpr bool operator>=(BaseVector2 a) const {
        if (x == a.x) {
            return y >= a.y;
        }
        return x >= a.x;
    }

    constexpr bool operator==(BaseVector2 a) const {
        return x == a.x and y == a.y;
    }

    constexpr bool operator!=(BaseVector2 a) const {
        return x != a.x or y != a.y;
    }

    // 输入输出
    friend std::istream &operator>>(std::istream &in, BaseVector2 &p) {
        return in >> p.x >> p.y;
    }
    friend std::ostream &operator<<(std::ostream &ot, BaseVector2 p) {
        return ot << '(' << p.x << ", " << p.y << ')';
    }
};

template <class T, class G>
G dis2(BaseVector2<T, G> a, BaseVector2<T, G> b = BaseVector2<T, G>(0, 0)) {
    BaseVector2<T, G> p = a - b;
    return p * p;
}
template <class T, class G>
auto dis(BaseVector2<T, G> a, BaseVector2<T, G> b = BaseVector2<T, G>(0, 0)) {
    return sqrtl(dis2(a, b));
}

template <class T, class G>
int sgn(BaseVector2<T, G> p) {
    if (p.x < 0 or p.x == 0 and p.y > 0) {
        return 1;
    } else
        return 0;
    // 以41象限为先
}

template <class Vector>
bool polarCmp(Vector p, Vector q) {
    if (sgn(p) == sgn(q)) {
        if (p % q == 0) {
            return dis2(p) < dis2(q);
        } else {
            return p % q > 0;
        }
    } else {
        return sgn(p) < sgn(q);
    }
}

using Point = BaseVector2<int, i64>;
using Vector = Point;
using PS = std::vector<Point>;

PS convex(PS ps) {
    std::sort(ps.begin(), ps.end());
    ps.erase(std::unique(ps.begin(), ps.end()), ps.end());

    const int n = ps.size();
    if (n <= 1) {
        return ps;
    }

    PS hull(n + 1);
    int k = -1;

    for (int i = 0; i < n; i++) {
        while (k >= 1 and (hull[k] - hull[k - 1]) % (ps[i] - hull[k]) <= 0) {
            k -= 1;
        }
        hull[++k] = ps[i];
    }

    for (int i = n - 2, m = k + 1; i >= 0; i--) {
        while (k >= m and (hull[k] - hull[k - 1]) % (ps[i] - hull[k]) <= 0) {
            k -= 1;
        }
        hull[++k] = ps[i];
    }

    assert(k >= 2);
    return hull.resize(k), hull;
}

inline bool belong(Point x, PS &st){
    for(auto pt : st){
        if(pt == x)
            return true;
    }
    return false;
}

inline PS calculate(PS &st, Point o){
    PS res;
    for(auto pt : st){
        if(pt != o){
            res.push_back(pt - o);
            //cerr << pt - o << endl;
        }
    }
    //cerr << endl;
    return res;
}

signed main(){
    int n, ans;
    PS p, convex_p, dcp;
    ios::sync_with_stdio(false);
    cin >> n;
    p.resize(n);
    for(int i = 0 ; i < n ; i++)
        cin >> p[i];
    
    convex_p = convex(p);

    ans = 1;

    for(int i = 0 ; i < n ; i++){
        if(!belong(p[i], convex_p)){
            dcp = calculate(p, p[i]);
            sort(dcp.begin(), dcp.end(), polarCmp<Point>);
            for(int j = 1 ; j < dcp.size() ; j++){
                if(belong(dcp[j] + p[i], convex_p) && belong(dcp[j - 1] + p[i], convex_p))
                    ans++;
            }
            if(belong(dcp[dcp.size() - 1] + p[i], convex_p) && belong(dcp[0] + p[i], convex_p) && dcp.size() > 1)
                ans++;
        }
    }

    cout << ans;
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3644kb

input:

7
1 4
4 0
2 3
3 1
3 5
0 0
2 4

output:

9

result:

ok 1 number(s): "9"

Test #2:

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

input:

5
4 0
0 0
2 1
3 3
3 1

output:

5

result:

ok 1 number(s): "5"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

3
0 0
3 0
0 3

output:

1

result:

ok 1 number(s): "1"

Test #4:

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

input:

6
0 0
3 0
3 2
0 2
1 1
2 1

output:

7

result:

ok 1 number(s): "7"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

4
0 0
0 3
3 0
3 3

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 408ms
memory: 3936kb

input:

2000
86166 617851
383354 -277127
844986 386868
-577988 453392
-341125 -386775
-543914 -210860
-429613 606701
-343534 893727
841399 339305
446761 -327040
-218558 -907983
787284 361823
950395 287044
-351577 -843823
-198755 138512
-306560 -483261
-487474 -857400
885637 -240518
-297576 603522
-748283 33...

output:

718

result:

ok 1 number(s): "718"

Test #7:

score: 0
Accepted
time: 393ms
memory: 3684kb

input:

2000
571314 -128802
-57762 485216
-713276 485201
-385009 -844644
371507 403789
338703 -272265
-913641 438001
-792118 -481524
709494 213762
-913577 432978
-397111 709021
840950 328210
-843628 452653
-20721 126607
-107804 -338102
930109 -89787
-949115 -76479
-862141 455623
991761 94852
-635475 625573
...

output:

658

result:

ok 1 number(s): "658"

Test #8:

score: 0
Accepted
time: 373ms
memory: 3912kb

input:

2000
-510540 -289561
-602648 -189950
-403224 944455
-369582 -41334
358122 -598933
-817147 470207
-440180 -735160
-705634 61719
319062 897001
-905089 -755682
-408371 -520115
-423336 548115
-590242 835990
208155 883477
-202087 142035
-71545 411206
570690 -673204
-228451 -903435
-732876 -570271
-246755...

output:

309

result:

ok 1 number(s): "309"

Test #9:

score: 0
Accepted
time: 357ms
memory: 3880kb

input:

2000
-532115 566389
138405 49337
398814 -97324
116833 113216
381728 877609
222402 641022
109920 952381
-113880 395181
13780 -572931
-676608 605202
-74328 -503839
-207767 926500
-663270 -146303
197877 280349
275865 -663892
-630214 3286
973786 304855
-493735 841584
394901 -505975
757960 204724
-373328...

output:

239

result:

ok 1 number(s): "239"

Test #10:

score: 0
Accepted
time: 362ms
memory: 3664kb

input:

2000
512636 509804
-661126 -592269
755566 -721837
-878213 441853
-236050 -89069
-181220 155656
203391 691764
940154 260513
747075 373881
620423 840991
-409624 335472
270937 -710659
-751290 -673585
250341 -193243
-250535 618887
-739996 543936
-547741 -213681
-82920 -364319
-611672 737719
930798 46731...

output:

1025

result:

ok 1 number(s): "1025"

Test #11:

score: 0
Accepted
time: 350ms
memory: 3620kb

input:

2000
943353 817289
237151 899722
682851 -464873
854225 205354
834550 257948
-260874 298196
-224572 -269157
-667301 881130
-45920 -696359
-634337 792620
-408527 -947513
582880 172669
921645 839423
833813 721080
-836662 -287230
-55783 -408594
108996 -122012
365647 -789544
313812 833502
970009 -737736
...

output:

218

result:

ok 1 number(s): "218"

Test #12:

score: 0
Accepted
time: 317ms
memory: 3624kb

input:

2000
619248 227987
-252490 -553032
148050 -479727
-333707 -591482
-40488 -503144
561909 255624
-402541 -798967
-245811 -610006
-146584 -517935
226433 -92580
-81939 -828480
72540 -845547
502613 220323
66708 -573015
601886 258752
406443 257854
232970 -671600
-37023 -683767
602339 456757
-440096 -71899...

output:

7

result:

ok 1 number(s): "7"

Test #13:

score: 0
Accepted
time: 321ms
memory: 3608kb

input:

2000
-602451 2956
85982 141739
-185932 -208897
-716095 58215
-468047 155612
-791626 -3105
75700 -484098
609608 -304849
689485 -106857
533177 -285261
-659400 -241162
-369302 165482
406663 265940
-353843 -788313
805885 -75440
-571955 -60471
351360 -81373
-510926 -59456
591713 179588
534794 -118
201630...

output:

66

result:

ok 1 number(s): "66"

Test #14:

score: 0
Accepted
time: 329ms
memory: 3620kb

input:

2000
41203 -675424
-158994 366628
-133859 -595680
435466 687630
687811 -35017
314337 133049
-384711 444777
54850 -760922
526166 282618
572292 94793
-324003 621393
-30308 242225
612969 -231837
-56628 -892609
-492077 58749
29597 -349591
198510 219502
380955 -59845
839171 -40068
88185 -820614
-572977 -...

output:

43

result:

ok 1 number(s): "43"

Test #15:

score: 0
Accepted
time: 339ms
memory: 3928kb

input:

2000
-814040 46114
-324077 -522697
388552 -604274
-252898 43028
-757069 141507
413462 -649779
-281915 -316285
-498931 -573214
-408766 670792
-271435 -393170
87187 731739
89312 -853584
-768680 -307261
-185324 234729
-70493 -354866
16452 164338
-650791 -518077
851196 -259322
-85395 -509349
241593 5074...

output:

129

result:

ok 1 number(s): "129"

Test #16:

score: 0
Accepted
time: 356ms
memory: 3932kb

input:

2000
23103 -796677
-148322 67634
-525131 -446626
2672 584671
-712789 -69579
-91150 -429393
-375635 -487235
-680553 -370975
793181 -383683
-234131 -462420
-734705 -171834
322671 -355011
760005 224249
700248 -352775
416862 -125857
-497951 717254
677084 -451876
-220123 616240
525973 -144881
-300828 553...

output:

1466

result:

ok 1 number(s): "1466"

Test #17:

score: 0
Accepted
time: 423ms
memory: 3932kb

input:

2000
-185174 470373
-772343 -70370
-182314 851727
661615 -250979
-581175 527646
332025 141502
-659052 -506788
-378459 -553180
11233 162287
469975 -572356
679074 217029
-137967 727723
581696 140544
452574 -319370
120895 129820
772655 -330960
122860 823902
-786221 147543
-206152 -373647
-212943 4820
6...

output:

2801

result:

ok 1 number(s): "2801"

Test #18:

score: 0
Accepted
time: 520ms
memory: 3676kb

input:

2000
-718158 695879
655921 595312
-509080 -860718
540612 244159
-83221 -865654
-460513 -542465
102321 -775593
328552 799263
-284269 -725108
152140 549502
-108610 465054
-97837 -449762
-772869 -171472
293831 -711723
508617 -157976
170737 323070
544222 385453
-633043 -233165
-620164 -459706
507218 338...

output:

14445

result:

ok 1 number(s): "14445"

Test #19:

score: 0
Accepted
time: 727ms
memory: 3688kb

input:

2000
-587991 -165467
-530325 -5525
-574943 180654
-496535 -748102
-436469 -160646
110285 237070
-822862 -141480
-177189 327799
-424868 331309
-999274 38095
-745710 192605
-234174 -804258
586432 -176239
-626756 499109
-562606 826724
890245 455480
-32262 -298900
550800 516690
-588632 -368654
405331 -3...

output:

64358

result:

ok 1 number(s): "64358"

Test #20:

score: -100
Time Limit Exceeded

input:

2000
441575 -414673
651578 -449237
287355 -489950
606811 -30288
-733692 679481
-652568 89883
-360110 616801
190405 -368787
-352383 935855
118240 73038
-374899 -927065
-22183 -491455
-146229 638417
998825 -48442
-374469 243261
988830 149043
-778607 -291542
-277026 -167975
372912 -405043
535321 425727...

output:


result: