Submission #1149883

#TimeUsernameProblemLanguageResultExecution timeMemory
1149883Shadow1The Kingdom of JOIOI (JOI17_joioi)C++20
100 / 100
491 ms31908 KiB
// Programmer: Shadow1

#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
using namespace std;

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using str = string; // yay python!

#define i64 int64_t
#define show(x) cerr << (#x) << " = " << (x) << '\n';
#define output_vector(v) for(auto &x : v){cout << x << ' ';}cout << '\n';
#define output_pairvector(v) for(auto &x : v){cout << x.first << " " << x.second << '\n';}
#define read_vector(v) for(auto &x : v){cin >> x;}
#define vt vector
#define prq priority_queue
#define pb push_back
#define eb emplace_back
#define pii pair<int,int>
#define fir first
#define sec second
#define sz(x) ll(x.size())
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
#define discretize(x) sort(x.begin(), x.end()); x.erase(unique(x.begin(), x.end()), x.end());

// 
const int INF = 1e9;
int a[2005][2005];
int mx = 0, mn = INF;
int n, m;

void rotx() {
    for(int i=0; i<n/2; ++i) {
        for(int j=0; j<m; ++j)
            swap(a[i][j], a[n-i-1][j]);
    }
}

void roty() {
    for(int i=0; i<n; ++i) {
        for(int j=0; j<m/2; ++j)
            swap(a[i][j], a[i][m-j-1]);
    }
}

bool check(int k) {
    int col = -1;
    for(int i=0; i<n; ++i) {
        for(int j=0; j<m; ++j) 
            if(mx - a[i][j] > k) col = max(col, j);
        for(int j=0; j<=col; ++j)
            if(a[i][j] - mn > k) return false;
    }
    return true;
}


int run() {
    int low = 0, high = 1e9;
    while(low < high) {
        int m = (low + high) / 2;
        if(check(m))
            high = m;
        else
            low = m+1;
    }
    return high;
}


void solve() {
    cin >> n >> 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]);
            mn = min(mn, a[i][j]);
        }
    }
    int ans = run();
    rotx();
    ans = min(ans, run());
    roty();
    ans = min(ans, run());
    rotx();
    ans = min(ans, run());
    cout << ans << '\n';

}



// CHECK YOUR OVERFLOWS!!!! 
signed main() {
    // freopen("output.txt", "w", stdout);
    // freopen("input.txt", "r", stdin);
    ios::sync_with_stdio(false);
    cin.tie(NULL); 
    int T = 1;
    // cin >> T;
    

    for(int tc = 1; tc <= T; ++tc) {
        // cout << "Case #" << tc << ": ";
        solve();
    }

    return 0;
}
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