Submission #1235848

#TimeUsernameProblemLanguageResultExecution timeMemory
1235848M_SH_OThe Kingdom of JOIOI (JOI17_joioi)C++20
100 / 100
271 ms79124 KiB
/*#pragma GCC optimize("O3")
#pragma GCC optimization("Ofast,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")*/
#include <bits/stdc++.h>
/*#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>*/

#define ll int
#define ll1 long long
#define ull unsigned long long
#define dou long double
#define str string
#define vll vector<ll>
#define vi vector<int>
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vbool vector<bool>
#define vstr vector<str>
#define vvll vector<vll>
#define pb push_back
#define pf push_front
#define endl "\n"
#define fr first
#define se second
// #define sortcmp(a) sort(a.begin(), a.end(), cmp)
#define sort(a) sort(a.begin(), a.end())
#define reverse(a) reverse(a.begin(), a.end())
#define speed ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0)
#define INF 1000000007
#define ordered_set tree<ll, null_type, less_equal<ll>, rb_tree_tag, tree_order_statistics_node_update>

using namespace std;
//using namespace __gnu_pbds;

mt19937 rng(time(0));
ll randll(ll l, ll r) {
    return uniform_int_distribution<ll>(l, r)(rng);
}

vvll pmx, pmn, smx, smn;

bool f(ll l, ll r, ll l1, ll r1, ll d, ll n, ll m, vvll& a) {
    ll minl = m;
    bool q = 1;
    for (int i = 0; i < n; i ++) {
        ll l_ = -1, r_ = minl;
        while (r_ - l_ > 1) {
            ll x = (l_+r_)/2;
            if (pmx[i][x] <= r && pmn[i][x] >= l) l_ = x;
            else r_ = x;
        }
        minl = r_;
        if (r_ < m && (smx[i][r_] > r1 || smn[i][l_] < l1)){
            q = 0;
            break;
        }
    }
    if (q) return 1;
    q = 1;
    minl = m;
    for (int i = n-1; i >= 0; i --) {
        ll l_ = -1, r_ = minl;
        while (r_ - l_ > 1) {
            ll x = (l_+r_)/2;
            if (pmx[i][x] <= r && pmn[i][x] >= l) l_ = x;
            else r_ = x;
        }
        minl = r_;
        if (r_ < m && (smx[i][r_] > r1 || smn[i][r_] < l1)){
            q = 0;
            break;
        }
    }
    if (q) return 1;
    q = 1;
    minl = -1;
    for (int i = 0; i < n; i ++) {
        ll l_ = minl, r_ = m;
        while (r_ - l_ > 1) {
            ll x = (l_+r_)/2;
            if (smx[i][x] <= r && smn[i][x] >= l) r_ = x;
            else l_ = x;
        }
        minl = l_;
        if (l_ >= 0 && (pmx[i][l_] > r1 || pmn[i][l_] < l1)){
            q = 0;
            break;
        }
    }
    if (q) return 1;
    q = 1;
    minl = -1;
    for (int i = n-1; i >= 0; i --) {
        ll l_ = minl, r_ = m;
        while (r_ - l_ > 1) {
            ll x = (l_+r_)/2;
            if (smx[i][x] <= r && smn[i][x] >= l) r_ = x;
            else l_ = x;
        }
        minl = l_;
        if (l_ >= 0 && (pmx[i][l_] > r1 || pmn[i][l_] < l1)){
            q = 0;
            break;
        }
    }
    if (q) return 1;
    return 0;
}

int main(){
    speed;
    srand(time(0));

    ll n, m;
    cin >> n >> m;

    vvll a(n, vll(m));
    ll maxl = -INF, minl = INF;
    for (int i =0 ; i < n; i ++) {
        for (int j = 0; j < m; j ++) {
            cin >> a[i][j];
            maxl = max(maxl, a[i][j]);
            minl = min(minl, a[i][j]);
        }
    }

    pmx.resize(n, vll(m));
    pmn.resize(n, vll(m));
    smx.resize(n, vll(m));
    smn.resize(n, vll(m));

    for (int i = 0; i < n; i ++) {
        pmx[i][0] = a[i][0];
        pmn[i][0] = a[i][0];
        smx[i][m-1] = a[i][m-1];
        smn[i][m-1] = a[i][m-1];

        for (int j = 1; j < m; j ++) {
            pmx[i][j] = max(pmx[i][j-1], a[i][j]);
            pmn[i][j] = min(pmn[i][j-1], a[i][j]);
        }
        for (int j = m-2; j >= 0; j --) {
            smx[i][j] = max(smx[i][j+1], a[i][j]);
            smn[i][j] = min(smn[i][j+1], a[i][j]);
        }
    }

    ll l = -1, r = maxl-minl+1;
    while (r-l > 1) {
        ll x = (l+r)/2;
        ll mx = minl+x;
        if (f(minl, minl+x, maxl-x, maxl, x, n, m, a) || f(maxl-x, maxl, minl, minl+x, x, n, m, a)) r = x;
        else l = x;
    }

    cout << r << endl;

}

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