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답안 #670041

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
670041 2022-12-07T21:47:42 Z finn__ Park (BOI16_park) C++17
100 / 100
 373 ms 56700 KB 
#include <bits/stdc++.h>
using namespace std;

#define sq(x) ((x) * (x))
#define dis(x1, y1, x2, y2, r1, r2) (sqrt(sq(x1 - x2) + sq(y1 - y2)) - r1 - r2)

struct dsu
{
    vector<int> z;

    dsu(size_t n)
    {
        z = vector<int>(n, -1);
    }

    int repr(int u)
    {
        return z[u] < 0 ? u : (z[u] = repr(z[u]));
    }

    void unite(int u, int v)
    {
        u = repr(u);
        v = repr(v);

        if (u == v)
            return;

        if (z[u] < z[v])
            swap(u, v);
        z[v] += z[u];
        z[u] = v;
    }

    bool connected(int u, int v)
    {
        return repr(u) == repr(v);
    }
};

struct tree
{
    int64_t x, y, r;
};

struct event
{
    size_t i, j;
    double t;

    bool operator<(event const &e) const
    {
        return t < e.t;
    }
};

struct visitor
{
    int64_t r, e;
    size_t i;

    bool operator<(visitor const &v) const
    {
        return r < v.r;
    }
};

int main()
{
    size_t n, m, w, h;
    cin >> n >> m >> w >> h;

    vector<tree> trees(n);
    for (auto &[x, y, r] : trees)
        cin >> x >> y >> r;
    vector<visitor> visitors(m);
    for (size_t i = 0; i < m; i++)
    {
        cin >> visitors[i].r >> visitors[i].e;
        visitors[i].i = i;
    }

    vector<event> events;
    for (size_t i = 0; i < n; i++)
    {
        auto const &[x1, y1, r1] = trees[i];
        for (size_t j = i + 1; j < n; j++)
        {
            auto const &[x2, y2, r2] = trees[j];
            events.push_back({i, j, dis(x1, y1, x2, y2, r1, r2)});
        }

        events.push_back({i, n, (double)(x1 - r1)});
        events.push_back({i, n + 1, (double)(y1 - r1)});
        events.push_back({i, n + 2, (double)(w - x1 - r1)});
        events.push_back({i, n + 3, (double)(h - y1 - r1)});
    }

    sort(events.begin(), events.end());
    sort(visitors.begin(), visitors.end());

    dsu d(n + 4);
    auto it = events.begin();
    vector<vector<int>> ans(m);

    for (auto const [r, e, i] : visitors)
    {
        while (it != events.end() && it->t + 1e-3 <= 2.0 * (double)r)
        {
            d.unite(it->i, it->j);
            it++;
        }

        ans[i].push_back(e);

        switch (e)
        {
        case 1:
            if (!d.connected(n, n + 1))
            {
                if (!d.connected(n + 1, n + 3) && !d.connected(n + 1, n + 2))
                    ans[i].push_back(2);
                if (!d.connected(n, n + 2) && !d.connected(n + 1, n + 3) && !d.connected(n + 2, n + 3))
                    ans[i].push_back(3);
                if (!d.connected(n, n + 2) && !d.connected(n, n + 3))
                    ans[i].push_back(4);
            }
            break;
        case 2:
            if (!d.connected(n + 1, n + 2))
            {
                if (!d.connected(n, n + 2) && !d.connected(n + 2, n + 3))
                    ans[i].push_back(3);
                if (!d.connected(n, n + 2) && !d.connected(n + 1, n + 3) && !d.connected(n, n + 3))
                    ans[i].push_back(4);
                if (!d.connected(n + 1, n + 3) && !d.connected(n, n + 1))
                    ans[i].push_back(1);
            }
            break;
        case 3:
            if (!d.connected(n + 2, n + 3))
            {
                if (!d.connected(n + 1, n + 3) && !d.connected(n, n + 3))
                    ans[i].push_back(4);
                if (!d.connected(n, n + 2) && !d.connected(n + 1, n + 3) && !d.connected(n, n + 1))
                    ans[i].push_back(1);
                if (!d.connected(n, n + 2) && !d.connected(n + 1, n + 2))
                    ans[i].push_back(2);
            }
            break;
        case 4:
            if (!d.connected(n, n + 3))
            {
                if (!d.connected(n, n + 2) && !d.connected(n, n + 1))
                    ans[i].push_back(1);
                if (!d.connected(n, n + 2) && !d.connected(n + 1, n + 3) && !d.connected(n + 1, n + 2))
                    ans[i].push_back(2);
                if (!d.connected(n + 1, n + 3) && !d.connected(n + 2, n + 3))
                    ans[i].push_back(3);
            }
            break;
        }

        sort(ans[i].begin(), ans[i].end());
    }

    for (auto const &v : ans)
    {
        for (auto const x : v)
            cout << x;
        cout << '\n';
    }
}

Subtask #1
27.0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Correct 272 ms 49756 KB Output is correct
2 Correct 267 ms 49704 KB Output is correct
3 Correct 273 ms 49744 KB Output is correct
4 Correct 272 ms 49700 KB Output is correct
5 Correct 269 ms 49816 KB Output is correct
6 Correct 271 ms 49780 KB Output is correct
7 Correct 252 ms 49768 KB Output is correct
8 Correct 247 ms 49692 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct

Subtask #2
31.0 / 31.0

# 결과 실행 시간 메모리 Grader output
1 Correct 88 ms 9948 KB Output is correct
2 Correct 86 ms 9928 KB Output is correct
3 Correct 89 ms 9860 KB Output is correct
4 Correct 85 ms 9932 KB Output is correct
5 Correct 95 ms 9940 KB Output is correct
6 Correct 90 ms 10056 KB Output is correct
7 Correct 82 ms 9528 KB Output is correct
8 Correct 83 ms 9536 KB Output is correct

Subtask #3
42.0 / 42.0

# 결과 실행 시간 메모리 Grader output
1 Correct 272 ms 49756 KB Output is correct
2 Correct 267 ms 49704 KB Output is correct
3 Correct 273 ms 49744 KB Output is correct
4 Correct 272 ms 49700 KB Output is correct
5 Correct 269 ms 49816 KB Output is correct
6 Correct 271 ms 49780 KB Output is correct
7 Correct 252 ms 49768 KB Output is correct
8 Correct 247 ms 49692 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 88 ms 9948 KB Output is correct
12 Correct 86 ms 9928 KB Output is correct
13 Correct 89 ms 9860 KB Output is correct
14 Correct 85 ms 9932 KB Output is correct
15 Correct 95 ms 9940 KB Output is correct
16 Correct 90 ms 10056 KB Output is correct
17 Correct 82 ms 9528 KB Output is correct
18 Correct 83 ms 9536 KB Output is correct
19 Correct 361 ms 56616 KB Output is correct
20 Correct 355 ms 56596 KB Output is correct
21 Correct 360 ms 56684 KB Output is correct
22 Correct 347 ms 56608 KB Output is correct
23 Correct 373 ms 56576 KB Output is correct
24 Correct 348 ms 56700 KB Output is correct