oj.uz

Submission #414554

# Submission time Handle Problem Language Result Execution time Memory
414554 2021-05-30T16:23:05 Z usachevd0 Hamburg Steak (JOI20_hamburg) C++17
15 / 100
 388 ms 22984 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 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 452 KB Output is correct
4 Correct 3 ms 460 KB Output is correct

Subtask #2
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 460 KB Output is correct
2 Correct 3 ms 456 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 4 ms 460 KB Output is correct

Subtask #3
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 548 KB Output is correct
4 Correct 3 ms 460 KB Output is correct
5 Correct 3 ms 460 KB Output is correct
6 Correct 3 ms 460 KB Output is correct
7 Correct 3 ms 460 KB Output is correct
8 Correct 5 ms 588 KB Output is correct
9 Correct 3 ms 452 KB Output is correct
10 Correct 4 ms 604 KB Output is correct
11 Correct 3 ms 588 KB Output is correct
12 Correct 3 ms 468 KB Output is correct

Subtask #4
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 456 KB Output is correct
4 Correct 4 ms 460 KB Output is correct
5 Correct 3 ms 556 KB Output is correct
6 Correct 3 ms 420 KB Output is correct
7 Correct 3 ms 456 KB Output is correct
8 Correct 4 ms 612 KB Output is correct
9 Correct 4 ms 588 KB Output is correct
10 Correct 5 ms 588 KB Output is correct
11 Correct 5 ms 668 KB Output is correct
12 Correct 4 ms 588 KB Output is correct
13 Correct 3 ms 544 KB Output is correct
14 Runtime error 5 ms 1628 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 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 452 KB Output is correct
4 Correct 3 ms 460 KB Output is correct
5 Correct 329 ms 11280 KB Output is correct
6 Correct 328 ms 11244 KB Output is correct
7 Correct 328 ms 11244 KB Output is correct
8 Correct 340 ms 11248 KB Output is correct

Subtask #6
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 460 KB Output is correct
2 Correct 3 ms 456 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 4 ms 460 KB Output is correct
5 Correct 329 ms 14692 KB Output is correct
6 Correct 349 ms 14972 KB Output is correct
7 Correct 365 ms 14436 KB Output is correct
8 Correct 339 ms 17128 KB Output is correct

Subtask #7
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 548 KB Output is correct
4 Correct 3 ms 460 KB Output is correct
5 Correct 3 ms 460 KB Output is correct
6 Correct 3 ms 460 KB Output is correct
7 Correct 3 ms 460 KB Output is correct
8 Correct 5 ms 588 KB Output is correct
9 Correct 3 ms 452 KB Output is correct
10 Correct 4 ms 604 KB Output is correct
11 Correct 3 ms 588 KB Output is correct
12 Correct 3 ms 468 KB Output is correct
13 Correct 335 ms 16224 KB Output is correct
14 Correct 347 ms 16260 KB Output is correct
15 Correct 335 ms 16820 KB Output is correct
16 Correct 331 ms 14516 KB Output is correct
17 Correct 343 ms 15260 KB Output is correct
18 Correct 347 ms 13296 KB Output is correct
19 Correct 341 ms 17124 KB Output is correct
20 Correct 388 ms 22984 KB Output is correct
21 Correct 339 ms 17204 KB Output is correct
22 Correct 357 ms 22256 KB Output is correct
23 Correct 364 ms 22128 KB Output is correct
24 Correct 361 ms 21620 KB Output is correct

Subtask #8
0 / 79.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 456 KB Output is correct
4 Correct 4 ms 460 KB Output is correct
5 Correct 3 ms 556 KB Output is correct
6 Correct 3 ms 420 KB Output is correct
7 Correct 3 ms 456 KB Output is correct
8 Correct 4 ms 612 KB Output is correct
9 Correct 4 ms 588 KB Output is correct
10 Correct 5 ms 588 KB Output is correct
11 Correct 5 ms 668 KB Output is correct
12 Correct 4 ms 588 KB Output is correct
13 Correct 3 ms 544 KB Output is correct
14 Runtime error 5 ms 1628 KB Execution killed with signal 6
15 Halted 0 ms 0 KB -