oj.uz

Submission #1051805

# Submission time Handle Problem Language Result Execution time Memory
1051805 2024-08-10T09:53:47 Z Tsovak The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
 833 ms 31884 KB 
// -------------------- Includes -------------------- //
#define _CRT_SECURE_NO_WARNINGS
#define _USE_MATH_DEFINES
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <stdio.h>
#include <cstdlib>
#include <stdlib.h>
#include <array>
#include <string>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <math.h>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <bitset>
#include <list>
#include <iterator>
#include <numeric>
#include <complex>
#include <tuple>
#include <utility>
#include <cassert>
#include <assert.h>
#include <climits>
#include <limits.h>
#include <ctime>
#include <time.h>
#include <random>
#include <chrono>
#include <fstream>
using namespace std;

// -------------------- Typedefs -------------------- //

typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;

// -------------------- Defines -------------------- //

#define pr pair
#define mpr make_pair
#define ff first
#define ss second

#define mset multiset
#define mmap multimap
#define uset unordered_set
#define umap unordered_map
#define umset unordered_multiset
#define ummap unordered_multimap
#define pqueue priority_queue

#define sz(x) (int((x).size()))
#define len(x) (int((x).length()))
#define all(x) (x).begin(), (x).end()
#define clr(x) (x).clear()

#define ft front
#define bk back
#define pf push_front
#define pb push_back
#define popf pop_front
#define popb pop_back

#define lb lower_bound
#define ub upper_bound
#define bs binary_search

// -------------------- Constants -------------------- //

const int MAX = int(1e9 + 5);
const ll MAXL = ll(1e18 + 5);
const ll MOD = ll(1e9 + 7);
const ll MOD2 = ll(998244353);

// -------------------- Functions -------------------- //

void fastio()
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	return;
}

void precision(int x)
{
	cout << fixed << setprecision(x);
	return;
}

ll gcd0(ll a, ll b)
{
	while (b) {
		a %= b;
		swap(a, b);
	}
	return a;
}

ll lcm0(ll a, ll b)
{
	return a / gcd0(a, b) * b;
}

bool is_prime(ll a)
{
	if (a == 1) return false;
	for (ll i = 2; i * i <= a; i++) if (a % i == 0) return false;
	return true;
}

bool is_square(ll a)
{
	ll b = ll(sqrtl(ld(a)));
	return (b * b == a);
}

bool is_cube(ll a)
{
	ll b = ll(cbrtl(ld(a)));
	return (b * b * b == a);
}

int digit_sum(ll a)
{
	int sum = 0;
	while (a) {
		sum += int(a % 10);
		a /= 10;
	}
	return sum;
}

ll binpow(ll a, int b)
{
	ll ans = 1;
	while (b) {
		if (b & 1) ans *= a;
		b >>= 1;
		a *= a;
	}
	return ans;
}

ll binpow_mod(ll a, ll b, ll mod)
{
	ll ans = 1;
	while (b) {
		if (b & 1) ans = (ans * a) % mod;
		b >>= 1;
		a = (a * a) % mod;
	}
	return ans;
}

ll factorial(int a)
{
	ll ans = 1;
	for (int i = 2; i <= a; i++) ans *= ll(i);
	return ans;
}

ll factorial_mod(int a, ll mod)
{
	ll ans = 1;
	for (int i = 2; i <= a; i++) ans = (ans * ll(i)) % mod;
	return ans;
}

// -------------------- Solution -------------------- //

const int N = 2005, M = 2005;
int a[N][M], b[N][M];
int p[N];
int n, m, mn = MAX;

void rot()
{
	int i, j;

	for (i = 1; i <= n; i++) {
		for (j = 1; j <= m; j++) {
			b[j][n - i + 1] = a[i][j];
		}
	}

	swap(n, m);
	for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) a[i][j] = b[i][j];

	return;
}

bool check(int h)
{
	int i, j;

	for (i = 1; i <= n; i++) {
		for (j = 1; j <= m; j++) if (a[i][j] - mn > h) break;

		p[i] = min(p[i - 1], j - 1);
	}

	int mn1 = MAX, mx1 = 0;
	int mn2 = MAX, mx2 = 0;

	for (i = 1; i <= n; i++) {
		for (j = 1; j <= p[i]; j++) {
			mn1 = min(mn1, a[i][j]);
			mx1 = max(mx1, a[i][j]);
		}

		for (j = p[i] + 1; j <= m; j++) {
			mn2 = min(mn2, a[i][j]);
			mx2 = max(mx2, a[i][j]);
		}
	}

	return max(mx1 - mn1, mx2 - mn2) <= h;
}

void solve()
{
	int i, j;

	cin >> n >> m;

	for (i = 1; i <= n; i++) {
		for (j = 1; j <= m; j++) {
			cin >> a[i][j];
			mn = min(mn, a[i][j]);
		}
	}

	p[0] = MAX;

	int  l = 0, r = int(1e9), mid;

	while (l < r) {
		mid = (l + r) / 2;

		if (check(mid)) r = mid;
		else {
			rot();
			if (check(mid)) r = mid;
			else {
				rot();
				if (check(mid)) r = mid;
				else {
					rot();
					if (check(mid)) r = mid;
					else l = mid + 1;
				}
			}
		}
	}
	
	cout << l << "\n";

	return;
}

void precalc()
{
	return;
}

int main()
{
	fastio();

	precalc();

	int tests = 1, tc;
	//cin >> tests;
	for (tc = 1; tc <= tests; tc++) {
		solve();
	}

	return 0;
}

/*
	# # # #   # # # #   # # # #   #       #    #       #     #
	   #      #         #     #    #     #    # #      #   #
	   #      # # # #   #     #     #   #    #   #     # #
	   #            #   #     #      # #    # # # #    #   #
	   #      # # # #   # # # #       #    #       #   #     #
*/

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct

Subtask #2
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 6488 KB Output is correct
16 Correct 5 ms 6492 KB Output is correct
17 Correct 5 ms 6612 KB Output is correct
18 Correct 5 ms 6492 KB Output is correct
19 Correct 5 ms 6492 KB Output is correct
20 Correct 5 ms 6492 KB Output is correct
21 Correct 12 ms 6728 KB Output is correct
22 Correct 12 ms 6728 KB Output is correct
23 Correct 6 ms 6492 KB Output is correct
24 Correct 10 ms 6728 KB Output is correct
25 Correct 9 ms 6492 KB Output is correct
26 Correct 13 ms 6612 KB Output is correct
27 Correct 7 ms 6492 KB Output is correct
28 Correct 10 ms 6728 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 1 ms 6488 KB Output is correct
16 Correct 5 ms 6492 KB Output is correct
17 Correct 5 ms 6612 KB Output is correct
18 Correct 5 ms 6492 KB Output is correct
19 Correct 5 ms 6492 KB Output is correct
20 Correct 5 ms 6492 KB Output is correct
21 Correct 12 ms 6728 KB Output is correct
22 Correct 12 ms 6728 KB Output is correct
23 Correct 6 ms 6492 KB Output is correct
24 Correct 10 ms 6728 KB Output is correct
25 Correct 9 ms 6492 KB Output is correct
26 Correct 13 ms 6612 KB Output is correct
27 Correct 7 ms 6492 KB Output is correct
28 Correct 10 ms 6728 KB Output is correct
29 Correct 547 ms 31708 KB Output is correct
30 Correct 480 ms 31692 KB Output is correct
31 Correct 539 ms 31824 KB Output is correct
32 Correct 486 ms 31824 KB Output is correct
33 Correct 477 ms 31692 KB Output is correct
34 Correct 538 ms 31828 KB Output is correct
35 Correct 833 ms 31824 KB Output is correct
36 Correct 609 ms 31788 KB Output is correct
37 Correct 752 ms 31884 KB Output is correct