Submission #950533

#	Time	Username	Problem	Language	Result	Execution time	Memory
950533		arbuzick	Garden (JOI23_garden)	C++17	45 / 100	3069 ms	13488 KiB

garden

#include <bits/stdc++.h>

using namespace std;

struct Node {
    int mx_pref, mx_suff, mx_segm, len;

    Node(int _len = 0, int _val = 0) {
        mx_pref = mx_suff = mx_segm = _val;
        len = _len;
    }

    Node operator+(Node b) {
        Node ans;
        ans.len = len + b.len;
        if (mx_pref == len) {
            ans.mx_pref = len + b.mx_pref;
        } else {
            ans.mx_pref = mx_pref;
        }
        if (b.mx_suff == b.len) {
            ans.mx_suff = b.len + mx_suff;
        } else {
            ans.mx_suff = b.mx_suff;
        }
        ans.mx_segm = max(mx_suff + b.mx_pref, max(mx_segm, b.mx_segm));
        return ans;
    }
};

constexpr int R = 1 << 13;

Node tree[R * 2];

void build(int d) {
    for (int i = 0; i < d; ++i) {
        tree[i + R] = Node(1, 1);
    }
    for (int i = R - 1; i > 0; --i) {
        tree[i] = tree[i * 2] + tree[i * 2 + 1];
    }
}

void change(int pos, int val) {
    pos += R;
    tree[pos] = Node(1, val);
    for (pos /= 2; pos > 0; pos /= 2) {
        tree[pos] = tree[pos * 2] + tree[pos * 2 + 1];
    }
}

void solve() {
    int n, m, d;
    cin >> n >> m >> d;
    vector<int> p(n), q(n);
    for (int i = 0; i < n; ++i) {
        cin >> p[i] >> q[i];
    }
    vector<int> r(m), s(m);
    for (int i = 0; i < m; ++i) {
        cin >> r[i] >> s[i];
    }
    int ans = d * d;
    if (m <= 8) {
        vector<int> p_nw, q_nw;
        for (int i = 0; i < n; ++i) {
            p_nw.push_back(p[i]);
            p_nw.push_back(p[i] + d);
            q_nw.push_back(q[i]);
            q_nw.push_back(q[i] + d);
        }
        sort(p_nw.begin(), p_nw.end());
        sort(q_nw.begin(), q_nw.end());
        for (int mask = 0; mask < (1 << m); ++mask) {
            int mnx = d, mny = d;
            for (int i = 0; i < d; ++i) {
                int posx = lower_bound(p_nw.begin(), p_nw.end(), i) - p_nw.begin();
                int rx = p_nw[posx + n - 1] + 1;
                for (int j = 0; j < m; ++j) {
                    if (mask & (1 << j)) {
                        if (i <= r[j]) {
                            rx = max(rx, r[j] + 1);
                        } else {
                            rx = max(rx, r[j] + d + 1);
                        }
                    }
                }
                mnx = min(mnx, rx - i);
                int posy = lower_bound(q_nw.begin(), q_nw.end(), i) - q_nw.begin();
                int ry = q_nw[posy + n - 1] + 1;
                for (int j = 0; j < m; ++j) {
                    if (!(mask & (1 << j))) {
                        if (i <= s[j]) {
                            ry = max(ry, s[j] + 1);
                        } else {
                            ry = max(ry, s[j] + d + 1);
                        }
                    }
                }
                mny = min(mny, ry - i);
            }
            ans = min(ans, mnx * mny);
        }
    } else {
        build(d);
        vector<int> cnt(d);
        for (int i = 0; i < n; ++i) {
            cnt[q[i]]++;
            if (cnt[q[i]] == 1) {
                change(q[i], 0);
            }
        }
        vector<int> inds(m);
        iota(inds.begin(), inds.end(), 0);
        sort(inds.begin(), inds.end(), [&](int i, int j) {
            int ri = r[i] + 1, rj = r[j] + 1;
            return ri < rj;
        });
        int pos = 0;
        for (int lx = 0; lx < d; ++lx) {
            int rx = lx + 1;
            for (int i = 0; i < n; ++i) {
                if (lx <= p[i]) {
                    rx = max(rx, p[i] + 1);
                } else {
                    rx = max(rx, p[i] + d + 1);
                }
            }
            for (int i = 0; i < m; ++i) {
                cnt[s[i]]++;
                if (cnt[s[i]] == 1) {
                    change(s[i], 0);
                }
            }
            for (int i = pos; i < m; ++i) {
                ans = min(ans, (rx - lx) * (d - max(tree[1].mx_segm, tree[1].mx_pref + tree[1].mx_suff)));
                if (lx <= r[inds[i]]) {
                    rx = max(rx, r[inds[i]] + 1);
                } else {
                    rx = max(rx, r[inds[i]] + d + 1);
                }
                cnt[s[inds[i]]]--;
                if (cnt[s[inds[i]]] == 0) {
                    change(s[inds[i]], 1);
                }
            }
            for (int i = 0; i < pos; ++i) {
                ans = min(ans, (rx - lx) * (d - max(tree[1].mx_segm, tree[1].mx_pref + tree[1].mx_suff)));
                if (lx <= r[inds[i]]) {
                    rx = max(rx, r[inds[i]] + 1);
                } else {
                    rx = max(rx, r[inds[i]] + d + 1);
                }
                cnt[s[inds[i]]]--;
                if (cnt[s[inds[i]]] == 0) {
                    change(s[inds[i]], 1);
                }
            }
            ans = min(ans, (rx - lx) * (d - max(tree[1].mx_segm, tree[1].mx_pref + tree[1].mx_suff)));
            while (pos < m && r[inds[pos]] == lx) {
                pos++;
            }
        }
    }
    cout << ans << '\n';
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
    return 0;
}

• Subtask 1: 15 / 15
• Subtask 2: 6 / 6
• Subtask 3: 8 / 8
• Subtask 4: 16 / 16
• Subtask 5: 0 / 30
• Subtask 6: 0 / 25