oj.uz

Submission #419317

# Submission time Handle Problem Language Result Execution time Memory
419317 2021-06-06T22:24:35 Z 2qbingxuan Cultivation (JOI17_cultivation) C++17
15 / 100
 2000 ms 856 KB 
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#ifdef local
#define safe cerr<<__PRETTY_FUNCTION__<<" line "<<__LINE__<<" safe\n"
#define pary(a...) danb(#a, a)
#define debug(a...) qqbx(#a, a)
template <typename ...T> void qqbx(const char *s, T ...a) {
    int cnt = sizeof...(T);
    ((std::cerr << "\033[1;32m(" << s << ") = (") , ... , (std::cerr << a << (--cnt ? ", " : ")\033[0m\n")));
}
template <typename T> void danb(const char *s, T L, T R) {
    std::cerr << "\033[1;32m[ " << s << " ] = [ ";
    for (int f = 0; L != R; ++L)
        std::cerr << (f++ ? ", " : "") << *L;
    std::cerr << " ]\033[0m\n";
}
#else
#define debug(...) ((void)0)
#define safe ((void)0)
#define pary(...) ((void)0)
#endif // local
#define all(v) begin(v),end(v)
#define pb emplace_back
#define get_pos(u,x) int(lower_bound(all(u),x)-begin(u))

using namespace std;
using ll = int_fast64_t;
using ld = long double;
template <typename T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
const int mod = 1000000007;
const int inf = 1e9;
const ll INF = 1e18;
const int maxn = 5025;
template <typename T> void sort_uni(T &v) { sort(all(v)), v.erase(unique(all(v)), v.end()); }

int calc(int R, int C, vector<pair<int,int>> pts) {
    int N = pts.size();
    auto solve = [&]() {
        sort(all(pts));

        vector<int> dx{0};
        for (int i = 0; i < N; i++) {
            for (int j = 0; j < i; j++) {
                dx.emplace_back(pts[i].first - pts[j].first - 1);
            }
            dx.emplace_back(pts[i].first - 1);
            dx.emplace_back(R - pts[i].first);
        }
        sort_uni(dx);

        int mina = pts[0].first - 1;
        int minb = R - pts[N-1].first;
        int minsum = 0;
        for (int i = 1; i < N; i++) minsum = max(minsum, pts[i].first - pts[i-1].first - 1);

        int res = 2e9;
        for (int a: dx) {
            if (a < mina) continue;
            for (int b: dx) {
                if (b < minb) continue;
                if (a + b < minsum) continue;
                vector<pair<int,int>> evt;
                for (auto [x, y]: pts) evt.emplace_back(x-a, y);
                for (auto [x, y]: pts) evt.emplace_back(x+b+1, -y);
                inplace_merge(evt.begin(), evt.begin() + N, evt.end());

                multiset<int> posy;
                multiset<int> diff;

                auto add = [&](int val) {
                    auto it = posy.insert(val);
                    if (it != posy.begin() && next(it) != posy.end())
                        diff.erase(diff.find(*next(it) - *prev(it)));
                    if (it != posy.begin())
                        diff.insert(val - *prev(it));
                    if (next(it) != posy.end())
                        diff.insert(*next(it) - val);
                };
                auto remove = [&](int val) {
                    auto it = posy.find(val);
                    if (it != posy.begin())
                        diff.erase(diff.find(val - *prev(it)));
                    if (next(it) != posy.end())
                        diff.erase(diff.find(*next(it) - val));
                    if (it != posy.begin() && next(it) != posy.end())
                        diff.insert(*next(it) - *prev(it));
                    posy.erase(it);
                };
                int ans = 0, minc = 0, mind = 0;
                for (int i = 0, j = 0; i < N*2; i = j) {
                    for (j = i; j < N*2; j++) {
                        if (evt[j].first != evt[i].first) break;
                        int y = evt[j].second;
                        if (y < 0) {
                            remove(-y);
                        } else {
                            add(y);
                        }
                    }
                    if (j == N*2) continue;
                    int l = evt[i].first;
                    int r = evt[j].first;
                    if (r <= 1 || l > R) continue;
                    assert (posy.size() > 0);
                    minc = max(minc, *posy.begin() - 1);
                    mind = max(mind, C - *prev(posy.end()));
                    if (diff.size())
                        ans = max(ans, *prev(diff.end()) - 1);
                }
                ans = max(ans, minc + mind);
                debug(a, b, ans);
                debug(minc, mind);
                res = min(res, a + b + ans);
            }
        }
        return res;
    };
    int res = solve();
    for (auto &[x, y]: pts) swap(x, y);
    swap(R, C);
    return min(res, solve());
}

int naive(int R, int C, vector<pair<int,int>> pts) {
    int grid = 0;
    for (auto [x, y]: pts) grid |= 1<<((x-1) * C + (y-1));
    unordered_map<int,int> dis;
    const int U = (1 << (R*C)) - 1;
    queue<int> q;
    dis[grid] = 0;
    q.push(grid);

    int mask1 = 0, mask2 = 0;
    for (int i = 0; i < R; i++) for (int j = 0; j < C; j++) {
        if (j - 1 >= 0)
            mask1 |= 1 << (i * C + j);
        if (j + 1 < C)
            mask2 |= 1 << (i * C + j);
    }
    while (!q.empty()) {
        int cur = q.front(); q.pop();
        if (int nxt = (cur | cur << C) & U; !dis.count(nxt))
            dis[nxt] = dis[cur] + 1, q.push(nxt);

        if (int nxt = (cur | cur >> C); !dis.count(nxt))
            dis[nxt] = dis[cur] + 1, q.push(nxt);

        if (int nxt = cur | ((cur & mask1) >> 1); !dis.count(nxt))
            dis[nxt] = dis[cur] + 1, q.push(nxt);

        if (int nxt = cur | ((cur & mask2) << 1); !dis.count(nxt))
            dis[nxt] = dis[cur] + 1, q.push(nxt);
    }
    return dis[U];
}
void verify() {
    int R, C;
    cin >> R >> C;
    for (int i = 1; i < (1<<(R*C)); i++) {
        vector<pair<int,int>> pts;
        for (int j = 0; j < R*C; j++) if (i >> j & 1) pts.emplace_back(j / C + 1, j % C + 1);
        if (naive(R, C, pts) != calc(R, C, pts)) {
            for (auto [x, y]: pts) cerr<<x<<','<<y<<'\n';
            exit(3);
        }
    }
    exit(0);
}
signed main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    // verify();

    int R, C, N;
    cin >> R >> C >> N;
    vector<pair<int,int>> pts(N);
    for (auto &[x, y]: pts) cin >> x >> y;
    // cerr << naive(R, C, pts) << '\n';
    cout << calc(R, C, pts) << '\n';
}

/*
4 4 2
1 2
2 1

4 3 2
1 1
1 3
 */

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 4 ms 204 KB Output is correct
18 Correct 50 ms 344 KB Output is correct
19 Correct 26 ms 316 KB Output is correct
20 Correct 8 ms 204 KB Output is correct
21 Correct 50 ms 328 KB Output is correct
22 Correct 262 ms 332 KB Output is correct
23 Correct 25 ms 204 KB Output is correct
24 Correct 462 ms 524 KB Output is correct
25 Correct 375 ms 332 KB Output is correct
26 Correct 737 ms 796 KB Output is correct
27 Correct 715 ms 816 KB Output is correct
28 Correct 439 ms 588 KB Output is correct
29 Correct 686 ms 756 KB Output is correct
30 Correct 704 ms 808 KB Output is correct
31 Correct 749 ms 856 KB Output is correct
32 Correct 726 ms 756 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 4 ms 204 KB Output is correct
18 Correct 50 ms 344 KB Output is correct
19 Correct 26 ms 316 KB Output is correct
20 Correct 8 ms 204 KB Output is correct
21 Correct 50 ms 328 KB Output is correct
22 Correct 262 ms 332 KB Output is correct
23 Correct 25 ms 204 KB Output is correct
24 Correct 462 ms 524 KB Output is correct
25 Correct 375 ms 332 KB Output is correct
26 Correct 737 ms 796 KB Output is correct
27 Correct 715 ms 816 KB Output is correct
28 Correct 439 ms 588 KB Output is correct
29 Correct 686 ms 756 KB Output is correct
30 Correct 704 ms 808 KB Output is correct
31 Correct 749 ms 856 KB Output is correct
32 Correct 726 ms 756 KB Output is correct
33 Execution timed out 2068 ms 716 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #4
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 247 ms 292 KB Output is correct
2 Correct 1496 ms 300 KB Output is correct
3 Correct 1634 ms 296 KB Output is correct
4 Incorrect 1245 ms 308 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 247 ms 292 KB Output is correct
2 Correct 1496 ms 300 KB Output is correct
3 Correct 1634 ms 296 KB Output is correct
4 Incorrect 1245 ms 308 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 4 ms 204 KB Output is correct
18 Correct 50 ms 344 KB Output is correct
19 Correct 26 ms 316 KB Output is correct
20 Correct 8 ms 204 KB Output is correct
21 Correct 50 ms 328 KB Output is correct
22 Correct 262 ms 332 KB Output is correct
23 Correct 25 ms 204 KB Output is correct
24 Correct 462 ms 524 KB Output is correct
25 Correct 375 ms 332 KB Output is correct
26 Correct 737 ms 796 KB Output is correct
27 Correct 715 ms 816 KB Output is correct
28 Correct 439 ms 588 KB Output is correct
29 Correct 686 ms 756 KB Output is correct
30 Correct 704 ms 808 KB Output is correct
31 Correct 749 ms 856 KB Output is correct
32 Correct 726 ms 756 KB Output is correct
33 Execution timed out 2068 ms 716 KB Time limit exceeded
34 Halted 0 ms 0 KB -