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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#253443#800. TrianglesCamillus#0 0ms4080kbC++203.7kb2023-11-17 00:21:312024-07-04 02:51:44

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 02:51:44]
  • 评测
  • 测评结果:0
  • 用时:0ms
  • 内存:4080kb
  • [2023-11-17 00:21:31]
  • 提交

answer

/// @author Camillus <3
#include "bits/stdc++.h"

#ifdef LOCAL

struct Point {
    int x = 0, y = 0;

    Point() = default;
    Point(int x, int y) : x(x), y(y) {}
    Point(const Point &A, const Point &B) {
        x = B.x - A.x;
        y = B.y - A.y;
    }

    Point operator+(const Point &other) const {
        return {x + other.x, y + other.y};
    }

    Point operator-(const Point &other) const {
        return {x - other.x, y - other.y};
    }

    int64_t operator%(const Point &other) const {
        return 1ll * x * other.y - 1ll * y * other.x;
    }
};

std::vector<Point> P;

int get_n() {
    int n;
    std::cin >> n;

    P.resize(n + 1);

    for (int i = 1; i <= n; i++) {
        std::cin >> P[i].x >> P[i].y;
    }

    return n;
}

bool is_clockwise(int a, int b, int c) {
    Point A = P[a];
    Point B = P[b];
    Point C = P[c];

    return Point(A, B) % Point(A, C) < 0;
}

void give_answer(int s) {
    std::cout << s << '\n';
    exit(0);
}

#else
#   include "trilib.h"
#endif

using namespace std;

mt19937_64 rnd(228);

int rand(int n) {
    return rnd() % n;
}

int rand(int l, int r) {
    return l + rand(r - l + 1);
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int n = get_n();

    int u = rand(1, n);
    int v = rand(1, n - 1);

    if (v >= u) {
        v++;
    }

    vector<int> A, B;

    for (int x = 1; x <= n; x++) {
        if (x != u && x != v) {
            if (is_clockwise(u, v, x)) {
                A.push_back(x);
            } else {
                B.push_back(x);
            }
        }
    }

    sort(A.begin(), A.end(), [&u](int x, int y) {
        return is_clockwise(u, y, x);
    });

    sort(B.begin(), B.end(), [&v](int x, int y) {
        return is_clockwise(v, y, x);
    });

    vector<int> hullA = {u};
    A.push_back(v);

    for (int c : A) {
        while (hullA.size() >= 2) {
            int b = hullA[hullA.size() - 1];
            int a = hullA[hullA.size() - 2];

            if (is_clockwise(a, b, c)) {
                hullA.pop_back();
            } else {
                break;
            }
        }
        hullA.push_back(c);
    }

    vector<int> hullB = {v};
    B.push_back(u);

    for (int c : B) {
        while (hullB.size() >= 2) {
            int b = hullB[hullB.size() - 1];
            int a = hullB[hullB.size() - 2];

            if (is_clockwise(a, b, c)) {
                hullB.pop_back();
            } else {
                break;
            }
        }
        hullB.push_back(c);
    }

    vector<int> D = hullA;
    D.insert(D.end(), hullB.begin() + 1, hullB.end() - 1);

    int cnt = 0;

    int m = D.size();

    for (int i = 0; i < (int)D.size(); i++) {
        int a = D[(i + m - 1) % m];
        int b = D[i];
        int c = D[(i + 1) % m];

        if (is_clockwise(a, b, c)) {
            cnt++;
        }
    }

    auto pr = [&](int i) -> int {
        return (i + m - 1) % m;
    };

    auto nx = [&](int i) -> int {
        return (i + 1) % m;
    };

    int l = 0, r = 1;

    while (true) {
        if (is_clockwise(D[l], D[r], D[pr(l)])) {
            cnt++;
            l--;
        } else if (is_clockwise(D[l], D[r], D[nx(r)])) {
            cnt++;
            r++;
        } else {
            break;
        }
    }

    r = hullA.size();
    l = pr(r);

    while (true) {
        if (is_clockwise(D[l], D[r], D[pr(l)])) {
            cnt++;
            l--;
        } else if (is_clockwise(D[l], D[r], D[nx(r)])) {
            cnt++;
            r++;
        } else {
            break;
        }
    }

    give_answer(m - cnt);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 0
Runtime Error

Test #1:

score: 15
Accepted
time: 0ms
memory: 4080kb

input:

3
-843737031 -842526876
951189384 673353567
-450418999 301219510

output:

3

result:

ok single line: '3'

Test #2:

score: -15
Runtime Error

input:

50
4 -2
1 -1
7 49
11 121
9 81
144 -12
-121 11
-25 5
15 225
-49 7
-4 -16
196 -14
-144 12
225 -15
16 256
-13 -169
-14 -196
-8 -64
16 -4
-1 -1
81 -9
1 1
14 196
-196 14
169 -13
8 64
2 4
-15 -225
-225 15
12 144
49 -7
5 25
-64 8
-2 -4
-9 -81
13 169
121 -11
25 -5
-5 -25
-16 4
-12 -144
64 -8
-81 9
-169 13
-...

output:

Unauthorized output

result:


Subtask #2:

score: 0
Skipped

Dependency #1:

0%

Subtask #3:

score: 0
Skipped

Dependency #2:

0%

Subtask #4:

score: 0
Runtime Error

Test #97:

score: 0
Runtime Error

input:

3
498999289 500164826
0 0
-501000711 1000000000

output:

Unauthorized output

result:


Subtask #5:

score: 0
Skipped

Dependency #1:

0%