Submission #362110

# Submission time Handle Problem Language Result Execution time Memory
362110 2021-02-01T19:09:48 Z HoneyBadger The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
1520 ms 18668 KB
#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';
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 4 ms 1388 KB Output is correct
17 Correct 6 ms 1516 KB Output is correct
18 Correct 5 ms 1516 KB Output is correct
19 Correct 6 ms 1536 KB Output is correct
20 Correct 7 ms 1388 KB Output is correct
21 Correct 7 ms 1644 KB Output is correct
22 Correct 7 ms 1644 KB Output is correct
23 Correct 8 ms 1644 KB Output is correct
24 Correct 8 ms 1516 KB Output is correct
25 Correct 7 ms 1644 KB Output is correct
26 Correct 7 ms 1644 KB Output is correct
27 Correct 7 ms 1644 KB Output is correct
28 Correct 7 ms 1644 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 4 ms 1388 KB Output is correct
17 Correct 6 ms 1516 KB Output is correct
18 Correct 5 ms 1516 KB Output is correct
19 Correct 6 ms 1536 KB Output is correct
20 Correct 7 ms 1388 KB Output is correct
21 Correct 7 ms 1644 KB Output is correct
22 Correct 7 ms 1644 KB Output is correct
23 Correct 8 ms 1644 KB Output is correct
24 Correct 8 ms 1516 KB Output is correct
25 Correct 7 ms 1644 KB Output is correct
26 Correct 7 ms 1644 KB Output is correct
27 Correct 7 ms 1644 KB Output is correct
28 Correct 7 ms 1644 KB Output is correct
29 Correct 541 ms 16180 KB Output is correct
30 Correct 531 ms 17388 KB Output is correct
31 Correct 598 ms 17744 KB Output is correct
32 Correct 560 ms 17644 KB Output is correct
33 Correct 441 ms 15596 KB Output is correct
34 Correct 581 ms 17516 KB Output is correct
35 Correct 1359 ms 18668 KB Output is correct
36 Correct 1143 ms 18284 KB Output is correct
37 Correct 1520 ms 18604 KB Output is correct