Submission #533032

# Submission time Handle Problem Language Result Execution time Memory
533032 2022-03-04T14:05:57 Z rk42745417 The Kingdom of JOIOI (JOI17_joioi) C++17
100 / 100
2810 ms 54820 KB
#include <bits/stdc++.h>
using namespace std;

#define EmiliaMyWife ios::sync_with_stdio(0); cin.tie(0);
using ll = int64_t;
using ull = uint64_t;
using uint = uint32_t;
using ld = long double;
const int INF = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
const ll LINF = ll(4e18) + ll(2e15);
const double EPS = 1e-9;
static int LamyIsCute = []() {
	EmiliaMyWife
	return 48763;
}();

signed main() {
	int n, m;
	cin >> n >> m;
	vector<vector<int>> arr(n + 2, vector<int>(m + 1));

	int max_val = -INF, min_val = INF;

	for(int i = 1; i <= n; i++)
		for(int j = 1; j <= m; j++) {
			cin >> arr[i][j];
			max_val = max(max_val, arr[i][j]);
			min_val = min(min_val, arr[i][j]);
		}
	auto rot = [&]() {
		reverse(arr.begin(), arr.end());
	};
	auto go = [&](int k) {
		pair<int, int> cur_interval = {0, 0};
		for(int i = 1; i <= n; i++) {
			vector<int> suf_min(m + 1);
			for(int j = m; j; j--) {
				suf_min[j] = arr[i][j];
				if(j + 1 <= m)
					suf_min[j] = min(suf_min[j], suf_min[j + 1]);
			}

			pair<int, int> new_interval = {INF, -INF};
			for(int j = 0, mx = 0; j <= m; j++) {
				if(j)
					mx = max(mx, arr[i][j]);
				int r = (j < m ? suf_min[j + 1] : INF);
				if(mx <= min_val + k && max_val - k <= r && cur_interval.first <= j) {
					new_interval.first = min(new_interval.first, j);
					new_interval.second = max(new_interval.second, j);
				}
			}
			cur_interval = new_interval;
		}
		if(cur_interval.first <= cur_interval.second)
			return true;

		cur_interval = {0, 0};
		for(int i = 1; i <= n; i++) {
			vector<int> suf_max(m + 1);
			for(int j = m; j; j--) {
				suf_max[j] = arr[i][j];
				if(j + 1 <= m)
					suf_max[j] = max(suf_max[j], suf_max[j + 1]);
			}

			pair<int, int> new_interval = {INF, -INF};
			for(int j = 0, mn = INF; j <= m; j++) {
				if(j)
					mn = min(mn, arr[i][j]);
				int r = (j < m ? suf_max[j + 1] : 0);
				if(r <= min_val + k && max_val - k <= mn && cur_interval.first <= j) {
					new_interval.first = min(new_interval.first, j);
					new_interval.second = max(new_interval.second, j);
				}
			}
			cur_interval = new_interval;
		}
		if(cur_interval.first <= cur_interval.second)
			return true;
		return false;
	};
	auto check = [&](int k) {
		bool ok = false;
		for(int i = 0; i < 2; i++)
			ok |= go(k), rot();
		return ok;
	};
	int l = 0, r = INF;
	while(l < r) {
		int m = l + r >> 1;
		if(check(m))
			r = m;
		else
			l = m + 1;
	}
	cout << l << '\n';
}

Compilation message

joioi.cpp: In function 'int main()':
joioi.cpp:92:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   92 |   int m = l + r >> 1;
      |           ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 308 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 308 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 15 ms 460 KB Output is correct
17 Correct 22 ms 716 KB Output is correct
18 Correct 22 ms 716 KB Output is correct
19 Correct 24 ms 708 KB Output is correct
20 Correct 22 ms 588 KB Output is correct
21 Correct 30 ms 844 KB Output is correct
22 Correct 29 ms 820 KB Output is correct
23 Correct 34 ms 844 KB Output is correct
24 Correct 24 ms 716 KB Output is correct
25 Correct 29 ms 940 KB Output is correct
26 Correct 28 ms 836 KB Output is correct
27 Correct 28 ms 844 KB Output is correct
28 Correct 26 ms 844 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 308 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 2 ms 332 KB Output is correct
16 Correct 15 ms 460 KB Output is correct
17 Correct 22 ms 716 KB Output is correct
18 Correct 22 ms 716 KB Output is correct
19 Correct 24 ms 708 KB Output is correct
20 Correct 22 ms 588 KB Output is correct
21 Correct 30 ms 844 KB Output is correct
22 Correct 29 ms 820 KB Output is correct
23 Correct 34 ms 844 KB Output is correct
24 Correct 24 ms 716 KB Output is correct
25 Correct 29 ms 940 KB Output is correct
26 Correct 28 ms 836 KB Output is correct
27 Correct 28 ms 844 KB Output is correct
28 Correct 26 ms 844 KB Output is correct
29 Correct 2021 ms 37392 KB Output is correct
30 Correct 2097 ms 36396 KB Output is correct
31 Correct 1999 ms 39056 KB Output is correct
32 Correct 2110 ms 39100 KB Output is correct
33 Correct 1758 ms 34120 KB Output is correct
34 Correct 2221 ms 39328 KB Output is correct
35 Correct 2588 ms 54820 KB Output is correct
36 Correct 2384 ms 47700 KB Output is correct
37 Correct 2810 ms 51968 KB Output is correct