제출 #362110

#제출 시각아이디문제언어결과실행 시간메모리
362110HoneyBadgerThe Kingdom of JOIOI (JOI17_joioi)C++17
100 / 100
1520 ms18668 KiB
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <vector>
#include <bitset>
#include <string>
#include <cstring>
#include <map>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <utility>
#include <algorithm>
#include <random>
#include <cmath>
#include <cassert>
#include <climits>
#include <ctime>
#include <chrono>



#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,tune=native")



#ifdef LOCAL
	#define dbg(x) cout << #x << " : " << x << endl;
#else
	#define dbg(x)
#endif

#define pb push_back
#define ppb pop_back()
#define mp make_pair
#define fi(a, b) for (int i = a; i < b; i++)
#define fj(a, b) for (int j = a; j < b; j++)
#define fk(a, b) for (int k = a; k < b; k++)
#define fi1(a, b) for (int i = a - 1; i >= b; i--)
#define fj1(a, b) for (int j = a - 1; j >= b; j--)
#define fk1(a, b) for (int k = a - 1; k >= b; k--)
#define fx(x, a) for (auto& x : a)
#define rep(i, a, b) for (int i = a; i < b; ++i)
#define rep1(i, a, b) for (int i = a - 1; i >= b; --i)
#define siz(x) (int)x.size()
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()

using namespace std;

template<typename T1, typename T2>inline void mine(T1 &x, const T2 &y) { if (y < x) x = y; }
template<typename T1, typename T2>inline void maxe(T1 &x, const T2 &y) { if (x < y) x = y; }

ostream& operator << (ostream &out, const vector<int> &b) {
	for (auto k : b) out << k << ' ';
	return out;
}

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef char ch;
typedef string str;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<ch> vch;
typedef vector<vch> vvch;
typedef vector<str> vs;



const int MOD = 1000000007;
const int INF = 1000000050;
const long long BIG = (long long)2e18 + 50;
const int MX = 2010;
const double EPS = 1e-9;


mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int n, m;
int a[MX][MX];
int sm[MX];
int pm[MX];
int mni;
int mnj;
int mxi;
int mxj;

bool check(int x) {
	int ok = a[mni][mnj] + x;
	fj(0, m) {
		pm[j] = (j ? pm[j - 1] : n);
		fi(0, pm[j]) {
			if (a[i][j] > ok) {
				pm[j] = i;
				break;
			}
		}
	}
	fj1(m, 0) {
		sm[j] = (j < m - 1 ? sm[j + 1] : n);
		fi(0, sm[j]) {
			if (a[i][j] > ok) {
				sm[j] = i;
				break;
			}
		}
	}
	int ok2 = a[mxi][mxj] - x;
	if (sm[mnj] > mni) {
		bool nice = true;
		for (int j = 0; j < m && nice; ++j) {
			for (int i = sm[j]; i < n && nice; ++i) {
				nice &= a[i][j] >= ok2;
			}  
		}
		if (nice) return true;
	}	

	if (pm[mnj] > mni) {
		bool nice = true;
		for (int j = 0; j < m && nice; ++j) {
			for (int i = pm[j]; i < n && nice; ++i) {
				nice &= a[i][j] >= ok2;
			}  
		}
		if (nice) return true;
	}

	return false;
}

int ans = INF;

void solve() {
	mxi = mxj = mni = mnj = 0;
	fi(0, n) {
		fj(0, m) {
			if (a[i][j] < a[mni][mnj]) {
				mni = i;
				mnj = j;
			}
			if (a[i][j] > a[mxi][mxj]) {
				mxi = i;
				mxj = j;
			}
		}
	}
	int L = -1;
	int R = a[mxi][mxj] - a[mni][mnj];
	while (R - L > 1) {
		int x = (R + L) / 2;
		if (check(x))
			R = x;
		else
			L = x;
	}
	mine(ans, R);
}

int32_t main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> n >> m;
	fi(0, n) fj(0, m) cin >> a[i][j];
	solve();
	fi(0, n) fj(0, m) a[i][j] *= -1;
	solve();
	cout << ans << '\n';
}
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