oj.uz

Submission #414562

# Submission time Handle Problem Language Result Execution time Memory
414562 2021-05-30T16:25:47 Z usachevd0 Hamburg Steak (JOI20_hamburg) C++17
15 / 100
 421 ms 21696 KB 
#include <bits/stdc++.h>

using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define Time (clock() * 1.0 / CLOCKS_PER_SEC)
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1& x, T2 y) {
    return y < x ? (x = y, true) : false;
}
template<typename T1, typename T2> bool chkmax(T1& x, T2 y) {
    return y > x ? (x = y, true) : false;
}
void debug_out() {
    cerr << endl;
}
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) {
    cerr << ' ' << A;
    debug_out(B...);
}
template<typename T> void mdebug_out(T* a, int n) {
    for (int i = 0; i < n; ++i)
        cerr << a[i] << ' ';
    cerr << endl;
}
#ifdef LOCAL
    #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
    #define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
    #define debug(...) 1337
    #define mdebug(a, n) 1337
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T>& v) {
    for (auto& x : v)
        stream << x << ' ';
    return stream;
}
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& p) {
    return stream << p.first << ' ' << p.second;
}

const int INF32 = 1e9;

using Point = array<int, 2>;

using Segm = Point;
Segm universe_segm;
Segm intersect(const Segm& s1, const Segm& s2) {
    return {max(s1[0], s2[0]), min(s1[1], s2[1])};
}
void uintersect(Segm& s1, const Segm& s2) {
    chkmax(s1[0], s2[0]);
    chkmin(s1[1], s2[1]);
}
bool in(int x, const Segm& s) {
    return s[0] <= x && x <= s[1];
}
bool empt(const Segm& s) {
    return s[0] > s[1];
}

struct Rect {
    Segm s[2];
    
    Rect() {}
    
    void read() {
        cin >> s[0][0] >> s[1][0] >> s[0][1] >> s[1][1];
    }
    
    bool in(Point P) {
        return ::in(P[0], s[0]) && ::in(P[1], s[1]);
    }
} universe_rect;

Rect intersect(const Rect& r1, const Rect& r2) {
    Rect r3;
    for (int a = 0; a < 2; ++a) {
        r3.s[a][0] = max(r1.s[a][0], r2.s[a][0]);
        r3.s[a][1] = min(r1.s[a][1], r2.s[a][1]);
    }
    return r3;
}





vector<Point> solve(int k, vector<Rect> rects, vector<Point> points) {
    if (rects.empty()) {
        while (k--)
            points.push_back({0, 0});
        return points;
    }
    Rect I = universe_rect;
    for (Rect& r : rects)
        I = intersect(I, r);
    if (k == 1) {
        if (I.s[0][0] > I.s[0][1] || I.s[1][0] > I.s[1][1]) {
            return {};
        } else {
            points.push_back({I.s[0][0], I.s[1][0]});
            return points;
        }
    }
    for (int i = 0; i < 2; ++i) {
        for (int j = 0; j < 2; ++j) {
            Point P{I.s[0][i], I.s[1][j]};
            points.push_back(P);
            vector<Rect> new_rects;
            for (auto r : rects)
                if (!r.in(P))
                    new_rects.push_back(r);
            auto res = solve(k - 1, new_rects, points);
            if (!res.empty()) {
                return res;
            }
            points.pop_back();
        }
    }
    return {};
}

int32_t main() {
#ifdef LOCAL
    freopen("in", "r", stdin);
#endif
    ios::sync_with_stdio(0);
    cin.tie(0);
    
    universe_rect.s[0][0] = universe_rect.s[1][0] = 0;
    universe_rect.s[0][1] = universe_rect.s[1][1] = +INF32;
    universe_segm = {0, +INF32};
    
    int n, k;
    cin >> n >> k;
    vector<int> rx;
    vector<Rect> rects(n);
    for (auto& r : rects) {
        r.read();
        for (int a = 0; a < 2; ++a)
            for (int b = 0; b < 2; ++b)
                rx.push_back(r.s[a][b]);
    }
    sort(all(rx));
    rx.resize(unique(all(rx)) - rx.begin());
    int X = rx.size();
    for (auto& r : rects)
        for (int a = 0; a < 2; ++a)
            for (int b = 0; b < 2; ++b)
                r.s[a][b] = lower_bound(all(rx), r.s[a][b]) - rx.begin();
    auto easy = solve(k, rects, {});
    if (!easy.empty()) {
        for (auto P : easy)
            cout << rx[P[0]] << ' ' << rx[P[1]] << '\n';
        exit(0);
    }
    assert(k == 4);
    Rect I = universe_rect;
    for (Rect& r : rects)
        I = intersect(I, r);
    int R = I.s[0][0], L = I.s[0][1];
    int U = I.s[1][0], D = I.s[1][1];
    assert(L < R);
    assert(D < U);
    
    Segm baseL = {D + 1, U - 1};
    Segm baseR = {D + 1, U - 1};
    Segm baseD = {L + 1, R - 1};
    Segm baseU = {L + 1, R - 1};
    
    vector<Segm> prefLR(X + 1, universe_segm);
    vector<Segm> suffLR(X + 1, universe_segm);
    vector<Segm> prefDU(X + 1, universe_segm); // also prefUD
    vector<Segm> prefLU(X + 1, universe_segm);
    vector<Segm> suffLD(X + 1, universe_segm);
    vector<Segm> prefUR(X + 1, universe_segm);
    vector<Segm> prefDR(X + 1, universe_segm);
    
    int minxUD = +INF32;
    for (Rect& r : rects) {
        Segm rx = I.s[0], ry = I.s[1];
        int touchL = in(L, rx);
        int touchR = in(R, rx);
        int touchD = in(D, ry);
        int touchU = in(U, ry);
        int sum = touchL + touchR + touchD + touchU;
        if (sum == 0) throw;
        if (sum >= 3) continue;
        if (sum == 1) {
            if (touchL) {
                uintersect(baseL, ry);
            } else if (touchR) {
                uintersect(baseR, ry);
            } else if (touchD) {
                uintersect(baseD, rx);
            } else { // touchU
                uintersect(baseU, rx);
            }
        } else { // sum = 2
            if (touchL && touchR) {
                uintersect(prefLR[ry[0]], ry);
                uintersect(suffLR[ry[1] + 1], ry);
            } else if (touchD && touchU) {
                chkmin(minxUD, rx[1]);
                uintersect(prefDU[rx[0]], rx);
            } else if (touchL && touchU) {
                uintersect(prefLU[ry[0]], rx);
            } else if (touchL && touchD) {
                uintersect(suffLD[ry[1] + 1], rx);
            } else if (touchU && touchR) {
                uintersect(prefUR[rx[0]], ry);
            } else if (touchD && touchR) {
                uintersect(prefDR[rx[0]], ry);
            }
        }
    }
    
    for (int x = 0; x < X; ++x) {
        uintersect(suffLR[x + 1], suffLR[x]);
        uintersect(suffLD[x + 1], suffLD[x]);
    }
    for (int x = X - 1; x >= 0; --x) {
        uintersect(prefLR[x], prefLR[x + 1]);
        uintersect(prefDU[x], prefDU[x + 1]);
        uintersect(prefLU[x], prefLU[x + 1]);
        uintersect(prefUR[x], prefUR[x + 1]);
        uintersect(prefDR[x], prefDR[x + 1]);
    }
    
    for (int l = baseL[0]; l <= baseL[1]; ++l) {
        for (int rotUD = 0; rotUD < 2; ++rotUD) {
            auto segmU = intersect(baseU, prefLU[l + 1]);
            auto segmD = intersect(baseD, suffLD[l]);
            auto segmR = intersect(intersect(baseD, prefLR[l + 1]), suffLR[l]);
            int d, u;
            if (rotUD == 0) {
                // U <= D
                u = min(segmU[1], minxUD);
                if (u < segmU[0]) continue;
                uintersect(segmD, prefDU[u + 1]);
                uintersect(segmR, prefUR[u + 1]);
                if (empt(segmD)) continue;
                d = segmD[1];
                if (d < u) continue;
                uintersect(segmR, prefDR[d + 1]);
            } else {
                // U >= D
                d = min(segmD[1], minxUD);
                if (d < segmD[0]) continue;
                uintersect(segmU, prefDU[d + 1]);
                uintersect(segmR, prefDR[d + 1]);
                if (empt(segmU)) continue;
                u = segmU[1];
                if (u < d) continue;
                uintersect(segmR, prefUR[u + 1]);
            }
            if (empt(segmR)) continue;
            int r = segmR[1];
            cout << L << ' ' << rx[l] << '\n';
            cout << R << ' ' << rx[r] << '\n';
            cout << rx[d] << ' ' << D << '\n';
            cout << rx[u] << ' ' << U << '\n';
            exit(0);
        }
    }
    // throw;
    
    return 0;
}

Compilation message

hamburg.cpp: In function 'int32_t main()':
hamburg.cpp:191:16: warning: unused variable 'r' [-Wunused-variable]
  191 |     for (Rect& r : rects) {
      |                ^

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 332 KB Output is correct
4 Correct 4 ms 332 KB Output is correct

Subtask #2
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 332 KB Output is correct
4 Correct 4 ms 332 KB Output is correct

Subtask #3
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 460 KB Output is correct
2 Correct 3 ms 460 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 3 ms 332 KB Output is correct
5 Correct 3 ms 404 KB Output is correct
6 Correct 3 ms 332 KB Output is correct
7 Correct 4 ms 408 KB Output is correct
8 Correct 4 ms 460 KB Output is correct
9 Correct 3 ms 460 KB Output is correct
10 Correct 4 ms 460 KB Output is correct
11 Correct 4 ms 460 KB Output is correct
12 Correct 3 ms 460 KB Output is correct

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 4 ms 332 KB Output is correct
5 Correct 3 ms 408 KB Output is correct
6 Correct 3 ms 332 KB Output is correct
7 Correct 3 ms 384 KB Output is correct
8 Correct 6 ms 588 KB Output is correct
9 Correct 3 ms 404 KB Output is correct
10 Correct 5 ms 588 KB Output is correct
11 Correct 4 ms 588 KB Output is correct
12 Correct 5 ms 460 KB Output is correct
13 Correct 4 ms 460 KB Output is correct
14 Runtime error 5 ms 1500 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -

Subtask #5
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 332 KB Output is correct
4 Correct 4 ms 332 KB Output is correct
5 Correct 338 ms 9820 KB Output is correct
6 Correct 332 ms 9776 KB Output is correct
7 Correct 350 ms 9784 KB Output is correct
8 Correct 333 ms 9780 KB Output is correct

Subtask #6
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 332 KB Output is correct
4 Correct 4 ms 332 KB Output is correct
5 Correct 331 ms 13228 KB Output is correct
6 Correct 337 ms 13496 KB Output is correct
7 Correct 361 ms 13156 KB Output is correct
8 Correct 359 ms 15796 KB Output is correct

Subtask #7
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 460 KB Output is correct
2 Correct 3 ms 460 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 3 ms 332 KB Output is correct
5 Correct 3 ms 404 KB Output is correct
6 Correct 3 ms 332 KB Output is correct
7 Correct 4 ms 408 KB Output is correct
8 Correct 4 ms 460 KB Output is correct
9 Correct 3 ms 460 KB Output is correct
10 Correct 4 ms 460 KB Output is correct
11 Correct 4 ms 460 KB Output is correct
12 Correct 3 ms 460 KB Output is correct
13 Correct 334 ms 14904 KB Output is correct
14 Correct 372 ms 14900 KB Output is correct
15 Correct 336 ms 15416 KB Output is correct
16 Correct 337 ms 13108 KB Output is correct
17 Correct 365 ms 13880 KB Output is correct
18 Correct 333 ms 11952 KB Output is correct
19 Correct 354 ms 15800 KB Output is correct
20 Correct 395 ms 21696 KB Output is correct
21 Correct 336 ms 15800 KB Output is correct
22 Correct 357 ms 20928 KB Output is correct
23 Correct 421 ms 20792 KB Output is correct
24 Correct 368 ms 20280 KB Output is correct

Subtask #8
0 / 79.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB Output is correct
2 Correct 3 ms 332 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 4 ms 332 KB Output is correct
5 Correct 3 ms 408 KB Output is correct
6 Correct 3 ms 332 KB Output is correct
7 Correct 3 ms 384 KB Output is correct
8 Correct 6 ms 588 KB Output is correct
9 Correct 3 ms 404 KB Output is correct
10 Correct 5 ms 588 KB Output is correct
11 Correct 4 ms 588 KB Output is correct
12 Correct 5 ms 460 KB Output is correct
13 Correct 4 ms 460 KB Output is correct
14 Runtime error 5 ms 1500 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -