Submission #1273968

#TimeUsernameProblemLanguageResultExecution timeMemory
1273968antonnGrowing Vegetables is Fun 5 (JOI24_vegetables5)C++20
0 / 100
5093 ms33292 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = 3e5 + 7;

int n;
int a[2 * N], b[N], c[N];

pair<int, int> inter(pair<int, int> a, pair<int, int> b) {
    return {max(a.first, b.first), min(a.second, b.second)};
}

bool check(int mid) {
    bool ret = 0;
    for (int it = 0; it < 2; ++it) {
        vector<int> l(2 * n + 1), r(2 * n + 1);
        {
            int ptrl = 1, ptrr = 0;
            for (int i = 1; i <= 2 * n; ++i) {
                int low = 1, high = n, sol = n + 1;
                while (low <= high) {
                    int m = (low + high) / 2;
                    if (b[m] >= a[i] - mid) {
                        sol = m;
                        high = m - 1;
                    } else {
                        low = m + 1;
                    }
                }
                l[i] = sol;
                low = 1, high = n, sol = 0;
                while (low <= high) {
                    int m = (low + high) / 2;
                    if (b[m] <= a[i] + mid) {
                        sol = m;
                        low = m + 1;
                    } else {
                        high = m - 1;
                    }
                }
                r[i] = sol;
            }
        }
        vector<int> lc(2 * n + 1), rc(2 * n + 1);
        {
            int ptrl = 1, ptrr = 0;
            for (int i = 1; i <= 2 * n; ++i) {
                int low = 1, high = n, sol = n + 1;
                while (low <= high) {
                    int m = (low + high) / 2;
                    if (c[m] >= a[i] - mid) {
                        sol = m;
                        high = m - 1;
                    } else {
                        low = m + 1;
                    }
                }
                lc[i] = sol;
                low = 1, high = n, sol = 0;
                while (low <= high) {
                    int m = (low + high) / 2;
                    if (c[m] <= a[i] + mid) {
                        sol = m;
                        low = m + 1;
                    } else {
                        high = m - 1;
                    }
                }
                rc[i] = sol;
            }
        }
        
        //if (it == 1) {
            //for (int i = 1; i <= 2 * n; ++i) {
                //cout << "B " << l[i] << " " << r[i] << "\n";
            //}
            //for (int i = 1; i <= 2 * n; ++i) {
                //cout << "C " << l[i] << " " << r[i] << "\n";
            //}
        //}
        
        vector<pair<int, int>> pref(2 * n + 2), suff(2 * n + 2);
        pref[0] = {-1e9, 1e9};
        int cnt = 0;
        for (int i = 1; i <= 2 * n; ++i) {
            ++cnt;
            pref[i] = inter(pref[i - 1], {lc[i] - cnt, rc[i] - cnt});
        }
        suff[2 * n + 1] = {-1e9, 1e9};
        cnt = 0;
        for (int i = 2 * n; i >= 1; --i) {
            ++cnt;
            suff[i] = inter(suff[i + 1], {lc[i] - cnt, rc[i] - cnt});
        }
        vector<pair<int, int>> mid_pref(2 * n + 2), mid_suff(2 * n + 2);
        mid_pref[n] = {-1e9, 1e9};
        cnt = 0;
        for (int i = n + 1; i <= 2 * n; ++i) {
            ++cnt;
            mid_pref[i] = inter({mid_pref[i - 1].first - 1, mid_pref[i - 1].second - 1}, {l[i], r[i]});
        }
        mid_suff[n + 1] = {-1e9, 1e9};
        cnt = 0;
        for (int i = n; i >= 1; --i) {
            ++cnt;
            mid_suff[i] = inter(mid_suff[i + 1], {l[i] - cnt, r[i] - cnt});
        }
        for (int i = 1; i <= n; ++i) {
            pair<int, int> f1 = inter(pref[i - 1], {suff[i + n].first - (i - 1), suff[i + n].second - (i - 1)});
            pair<int, int> f2 = inter(mid_suff[i], {mid_pref[i + n - 1].first - (n - i + 1), mid_pref[i + n - 1].second - (n - i + 1)});
            if (f1.first <= f1.second && f2.first <= f2.second) {
                ret = 1;
            }
            //if (it == 1 && i == 2) {
                //cout << f2.first << " " << f2.second << "\n"; 
                //cout << f1.first << " " << f1.second << "\n"; 
            //} 
        }
        for (int i = 1; i <= n; ++i) swap(b[i], c[i]);
    }
    return ret;
}

/*
2
1 2 6 3
2 5
3 4


*/

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cin >> n;
    for (int i = 1; i <= 2 * n; ++i) cin >> a[i];
    for (int i = 1; i <= n; ++i) cin >> b[i];
    for (int i = 1; i <= n; ++i) cin >> c[i];
    
    sort(b + 1, b + n + 1);
    sort(c + 1, c + n + 1);
    
    //cout << check(2) << "\n";
    //return 0;
    
    int low = 0, high = 1e9, sol = 0;
    while (low <= high) {
        int mid = (low + high) / 2;
        if (check(mid)) {
            sol = mid;
            high = mid - 1;
        } else {
            low = mid + 1;
        }
    }
    cout << sol << "\n";
    return 0;
}
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