제출 #952245

#제출 시각아이디문제언어결과실행 시간메모리
952245arbuzickGarden (JOI23_garden)C++17
45 / 100
3030 ms18612 KiB
#include <bits/stdc++.h>

using namespace std;

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 {
        vector<int> pp = p;
        sort(pp.begin(), pp.end());
        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 = pp[n - 1] + 1;
            int pos_nw = lower_bound(pp.begin(), pp.end(), lx) - pp.begin();
            if (pos_nw != 0) {
                pos_nw--;
                rx = max(rx, pp[pos_nw] + d + 1);
            }
            vector<int> ll(d, -1), rr(d, d);
            set<int> used;
            vector<int> cnt(d);
            for (int i = 0; i < n; ++i) {
                cnt[q[i]]++;
                if (cnt[q[i]] == 1) {
                    auto it = used.lower_bound(q[i]);
                    if (it != used.end()) {
                        ll[*it] = q[i];
                        rr[q[i]] = *it;
                    }
                    if (it != used.begin()) {
                        it--;
                        rr[*it] = q[i];
                        ll[q[i]] = *it;
                    }
                    used.insert(q[i]);
                }
            }
            for (int i = 0; i < m; ++i) {
                cnt[s[i]]++;
                if (cnt[s[i]] == 1) {
                    auto it = used.lower_bound(s[i]);
                    if (it != used.end()) {
                        ll[*it] = s[i];
                        rr[s[i]] = *it;
                    }
                    if (it != used.begin()) {
                        it--;
                        rr[*it] = s[i];
                        ll[s[i]] = *it;
                    }
                    used.insert(s[i]);
                }
            }
            int len_pr = 0, len_suff = 0, mx_diff = 0;
            for (int i = 0; i < d; ++i) {
                if (cnt[i] > 0) {
                    if (ll[i] == -1) {
                        len_pr = max(len_pr, i);
                    } else {
                        mx_diff = max(mx_diff, i - ll[i] - 1);
                    }
                    if (rr[i] == d) {
                        len_suff = max(len_suff, d - i - 1);
                    }
                }
            }
            for (int i = pos; i < m; ++i) {
                ans = min(ans, (rx - lx) * (d - max(len_pr + len_suff, mx_diff)));
                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) {
                    if (ll[s[inds[i]]] != -1) {
                        rr[ll[s[inds[i]]]] = rr[s[inds[i]]];
                        if (rr[ll[s[inds[i]]]] == d) {
                            len_suff = max(len_suff, d - ll[s[inds[i]]] - 1);
                        } else {
                            mx_diff = max(mx_diff, rr[ll[s[inds[i]]]] - ll[s[inds[i]]] - 1);
                        }
                    }
                    if (rr[s[inds[i]]] != d) {
                        ll[rr[s[inds[i]]]] = ll[s[inds[i]]];
                        if (ll[rr[s[inds[i]]]] == -1) {
                            len_pr = max(len_pr, rr[s[inds[i]]]);
                        }
                    }
                }
            }
            for (int i = 0; i < pos; ++i) {
                ans = min(ans, (rx - lx) * (d - max(len_pr + len_suff, mx_diff)));
                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) {
                    if (ll[s[inds[i]]] != -1) {
                        rr[ll[s[inds[i]]]] = rr[s[inds[i]]];
                        if (rr[ll[s[inds[i]]]] == d) {
                            len_suff = max(len_suff, d - ll[s[inds[i]]] - 1);
                        } else {
                            mx_diff = max(mx_diff, rr[ll[s[inds[i]]]] - ll[s[inds[i]]] - 1);
                        }
                    }
                    if (rr[s[inds[i]]] != d) {
                        ll[rr[s[inds[i]]]] = ll[s[inds[i]]];
                        if (ll[rr[s[inds[i]]]] == -1) {
                            len_pr = max(len_pr, rr[s[inds[i]]]);
                        }
                    }
                }
            }
            ans = min(ans, (rx - lx) * (d - max(len_pr + len_suff, mx_diff)));
            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;
}
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