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답안 #386585

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
386585 2021-04-07T02:54:33 Z timmyfeng 함박 스테이크 (JOI20_hamburg) C++17
15 / 100
 243 ms 5196 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 200000, X = 1000000000;

vector<array<int, 2>> skewers;
array<int, 4> rects[N];
bool tested[N];
int n;

array<int, 4> bounds() {
    int x1 = X, x2 = 1, y1 = X, y2 = 1;
    for (int i = 0; i < n; ++i) {
        if (!tested[i]) {
            auto [x3, x4, y3, y4] = rects[i];
            x1 = min(x1, x4);
            x2 = max(x2, x3);
            y1 = min(y1, y4);
            y2 = max(y2, y3);
        }
    }
    return {x1, x2, y1, y2};
}

void print() {
    for (auto [x, y] : skewers) {
        cout << x << " " << y << "\n";
    }
    exit(0);
}

void solve(int k) {
    if (k == 0) {
        if (count(tested, tested + n, true) == n) {
            print();
        }
        return;
    }

    auto [x1, x2, y1, y2] = bounds();

    for (auto x : {x1, x2}) {
        for (auto y : {y1, y2}) {
            skewers.push_back({x, y});
            vector<int> undo;
            for (int i = 0; i < n; ++i) {
                if (!tested[i]) {
                    auto [x3, x4, y3, y4] = rects[i];
                    if (x3 <= x && x <= x4 && y3 <= y && y <= y4) {
                        tested[i] = true;
                        undo.push_back(i);
                    }
                }
            }

            solve(k - 1);

            for (auto i : undo) {
                tested[i] = false;
            }
            skewers.pop_back();
        }
    }
}

void build(vector<array<int, 2>> &points) {
    sort(rbegin(points), rend(points));
    vector<array<int, 2>> hull;
    for (auto [x, y] : points) {
        if (hull.empty() || hull.back()[1] > y) {
            hull.push_back({x, y});
        }
    }
    reverse(begin(hull), end(hull));
    points = hull;
}

int query(vector<array<int, 2>> &hull, int x) {
    auto it = upper_bound(begin(hull), end(hull), array<int, 2>{x, X});
    return it == end(hull) ? X : it->at(1);
}

void solve_4() {
    auto [x1, x2, y1, y2] = bounds();
    
    int l1 = y1 + 1, r1 = y1 + 1, l2 = y2 - 1, r2 = y2 - 1;
    int d1 = x1 + 1, u1 = x1 + 1, d2 = x2 - 1, u2 = x2 - 1;

    vector<array<int, 2>> ld, lu, dr, ur, du, lrud, lruu, lrdd, lrdu;
    vector<int> values;

    for (int i = 0; i < n; ++i) {
        auto [x3, x4, y3, y4] = rects[i];
        bool l = x3 <= x1, r = x4 >= x2, d = y3 <= y1, u = y4 >= y2;
        if (l + r + d + u <= 2) {
            if (l && r) {
                lrud.push_back({y3, -y3});
                lruu.push_back({y3, y4});
                lrdd.push_back({-y4, -y3});
                lrdu.push_back({-y4, y4});
            } else if (d && u) {
                du.push_back({x3, x4});
                u1 = max(u1, x3);
                d2 = min(d2, x4);
            } else if (l && d) {
                ld.push_back({-y4, x4});
            } else if (l && u) {
                lu.push_back({y3, x4});
            } else if (d && r) {
                dr.push_back({x3, y4});
            } else if (u && r) {
                ur.push_back({x3, -y3});
            } else if (l) {
                l1 = max(l1, y3);
                l2 = min(l2, y4);
            } else if (r) {
                r1 = max(r1, y3);
                r2 = min(r2, y4);
            } else if (d) {
                d1 = max(d1, x3);
                d2 = min(d2, x4);
            } else if (u) {
                u1 = max(u1, x3);
                u2 = min(u2, x4);
            }
        }
    }

    build(ld), build(lu), build(dr), build(ur), build(du);
    build(lrud), build(lruu), build(lrdd), build(lrdu);

    for (int i = 0; i < n; ++i) {
        for (auto l : rects[i]) {
            if (l1 <= l && l <= l2) {
                int d = min({d2, query(ld, -l)});
                if (d1 <= d) {
                    int u = min({u2, query(lu, l), query(du, d)});
                    if (u1 <= u) {
                        int r3 = max({r1, -query(ur, u), -query(lrud, l), -query(lrdd, -l)});
                        int r4 = min({r2, query(dr, d), query(lruu, l), query(lrdu, -l)});
                        if (r3 <= r4) {
                            skewers = {{x1, l}, {x2, r3}, {d, y1}, {u, y2}};
                            return;
                        }
                    }
                }
            }
        }
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int k;
    cin >> n >> k;

    for (int i = 0; i < n; ++i) {
        cin >> rects[i][0] >> rects[i][2] >> rects[i][1] >> rects[i][3];
    }

    solve(k);

    solve_4();

    if (!skewers.empty()) {
        print();
    }

    for (int i = 0; i < n; ++i) {
        auto &[x1, x2, y1, y2] = rects[i];
        y1 = X + 1 - y1;
        y2 = X + 1 - y2;
    }

    solve_4();

    for (auto &[x, y] : skewers) {
        y = X + 1 - y;
    }

    print();
}

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct

Subtask #2
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct

Subtask #3
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 3 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 4 ms 364 KB Output is correct
10 Correct 3 ms 364 KB Output is correct
11 Correct 2 ms 364 KB Output is correct
12 Correct 3 ms 364 KB Output is correct

Subtask #4
0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 364 KB Output is correct
2 Correct 3 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 3 ms 364 KB Output is correct
10 Correct 3 ms 364 KB Output is correct
11 Correct 2 ms 364 KB Output is correct
12 Correct 2 ms 364 KB Output is correct
13 Correct 8 ms 364 KB Output is correct
14 Correct 8 ms 384 KB Output is correct
15 Correct 8 ms 364 KB Output is correct
16 Correct 6 ms 364 KB Output is correct
17 Incorrect 10 ms 508 KB Unexpected end of file - int32 expected
18 Halted 0 ms 0 KB -

Subtask #5
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 91 ms 4716 KB Output is correct
6 Correct 91 ms 4716 KB Output is correct
7 Correct 92 ms 4716 KB Output is correct
8 Correct 92 ms 4716 KB Output is correct

Subtask #6
3.0 / 3.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 97 ms 4844 KB Output is correct
6 Correct 103 ms 5196 KB Output is correct
7 Correct 105 ms 4980 KB Output is correct
8 Correct 108 ms 4940 KB Output is correct

Subtask #7
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 364 KB Output is correct
2 Correct 2 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 3 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 4 ms 364 KB Output is correct
10 Correct 3 ms 364 KB Output is correct
11 Correct 2 ms 364 KB Output is correct
12 Correct 3 ms 364 KB Output is correct
13 Correct 96 ms 4844 KB Output is correct
14 Correct 97 ms 4716 KB Output is correct
15 Correct 96 ms 4844 KB Output is correct
16 Correct 95 ms 4844 KB Output is correct
17 Correct 97 ms 4844 KB Output is correct
18 Correct 98 ms 4844 KB Output is correct
19 Correct 99 ms 4844 KB Output is correct
20 Correct 110 ms 4716 KB Output is correct
21 Correct 243 ms 5168 KB Output is correct
22 Correct 184 ms 4764 KB Output is correct
23 Correct 144 ms 4872 KB Output is correct
24 Correct 152 ms 4924 KB Output is correct

Subtask #8
0 / 79.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 364 KB Output is correct
2 Correct 3 ms 364 KB Output is correct
3 Correct 2 ms 364 KB Output is correct
4 Correct 2 ms 364 KB Output is correct
5 Correct 2 ms 364 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 364 KB Output is correct
8 Correct 2 ms 364 KB Output is correct
9 Correct 3 ms 364 KB Output is correct
10 Correct 3 ms 364 KB Output is correct
11 Correct 2 ms 364 KB Output is correct
12 Correct 2 ms 364 KB Output is correct
13 Correct 8 ms 364 KB Output is correct
14 Correct 8 ms 384 KB Output is correct
15 Correct 8 ms 364 KB Output is correct
16 Correct 6 ms 364 KB Output is correct
17 Incorrect 10 ms 508 KB Unexpected end of file - int32 expected
18 Halted 0 ms 0 KB -