Submission #1351016

#TimeUsernameProblemLanguageResultExecution timeMemory
1351016gayThe Kingdom of JOIOI (JOI17_joioi)C++20
100 / 100
1821 ms63316 KiB
#include <bits/stdc++.h>
#include <experimental/random>
#include <random>

//#include <ext/pb_ds/assoc_container.hpp>
//using namespace __gnu_pbds;

using namespace std;

using ld = long double;
using ll = long long;

const ll INF = 1e18, MOD = 1e9 + 7;

void solve();

signed main() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
    ios::sync_with_stdio(false);
    cin.tie(0);
    int q = 1;
    //cin >> q;
    while (q--) {
        solve();
    }
}

vector<vector<ll>> a;
ll mx = -INF;
ll n, m;

bool check(ll delta) {
    vector<vector<ll>> mn(n, vector<ll>(m + 1, INF));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            mn[i][j + 1] = min(mn[i][j], a[i][j]);
        }
    }
    vector<ll> hv;
    ll prev = m;
    for (int i = 0; i < n; i++) {
        ll l = 0, r = m + 1;
        while (r - l > 1) {
            ll mid = (l + r) / 2;
            if (mx - mn[i][mid] <= delta) {
                l = mid;
            } else {
                r = mid;
            }
        }
        prev = min(prev, l);
        hv.push_back(prev);
    }
    ll m1 = -INF, m2 = INF;
    for (int i = 0; i < n; i++) {
        for (ll j = hv[i]; j < m; j++) {
            m1 = max(m1, a[i][j]);
            m2 = min(m2, a[i][j]);
        }
    }
    return m1 - m2 <= delta;
}

void solve() {
    cin >> n >> m;
    a.resize(n, vector<ll>(m));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cin >> a[i][j];
            mx = max(mx, a[i][j]);
        }
    }
    ll l = -1, r = INF;
    while (r - l > 1) {
        ll mid = (l + r) / 2;
        if (check(mid)) {
            r = mid;
            continue;
        }
        for (int i = 0; i < n; i++) {
            reverse(a[i].begin(), a[i].end());
        }
        if (check(mid)) {
            r = mid;
            continue;
        }
        reverse(a.begin(), a.end());
        if (check(mid)) {
            r = mid;
            continue;
        }
        for (int i = 0; i < n; i++) {
            reverse(a[i].begin(), a[i].end());
        }
        if (check(mid)) {
            r = mid;
            continue;
        }
        reverse(a.begin(), a.end());
        l = mid;
    }
    cout << r;
}
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