oj.uz

Submission #1068020

# Submission time Handle Problem Language Result Execution time Memory
1068020 2024-08-21T06:43:37 Z Gromp15 Rectangles (IOI19_rect) C++17
59 / 100
 1606 ms 73468 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC target("avx2")
#include "rect.h"
#define ll long long
#define ar array
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }

using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)

struct fenwick {
	int n; vector<int> bit;
	fenwick(int a) : n(a), bit(a+1) {}
	void update(int pos, int x) {
		pos++;
		for (int i = pos; i <= n; i += i&-i) bit[i] += x;
	}
	int sum(int pos) {
		int res = 0;
		while (pos) res += bit[pos], pos -= pos&-pos;
		return res;
	}
	int query(int l, int r) {
		return sum(r+1) - sum(l);
	}
};

long long count_rectangles(std::vector<std::vector<int>> a) {
	int n = sz(a), m = sz(a[0]);
	if ((n <= 700 && m <= 700) || (n <= 3)) {
		vector ok(n, vector(n, vector<bool>(m)));
		for (int i = 0; i < m; i++) {
			for (int j = 1; j < n-1; j++) {
				int mx = 0;
				for (int k = j; k < n-1; k++) {
					ckmax(mx, a[k][i]);
					ok[j][k][i] = mx >= min(a[j-1][i], a[k+1][i]);
				}
			}
		}
		vector<vector<int>> right(n, vector<int>(m, -1)), left(n, vector<int>(m, m-1));
		for (int i = 0; i < n; i++) {
			for (int j = 1; j < m-1; j++) {
				int mx = 0;
				for (int k = j; k < m-1; k++) {
					ckmax(mx, a[i][k]);
					if (mx >= a[i][j-1]) break;
					right[i][j] = k;
				}
			}
			for (int j = m-2; j >= 1; j--) {
				int mx = 0;
				for (int k = j; k >= 1; k--) {
					ckmax(mx, a[i][k]);
					if (mx >= a[i][j+1]) break;
					left[i][j] = k;
				}
			}
		}
		long long ans = 0;
		for (int i = 1; i < n-1; i++) { 
			vector<int> R(m, m-2), L(m, -1);
			for (int j = i; j < n-1; j++) {
				for (int k = 0; k < m; k++) {
					ckmin(R[k], right[j][k]);
					ckmax(L[k], left[j][k]);
				}
				vector<int> to(m, -1);
				for (int k = m-1; k >= 0; k--) if (!ok[i][j][k]) {
					int l = k;
					while (l && !ok[i][j][l-1]) l--;
					for (int z = l; z <= k; z++) to[z] = k;
					k = l;
				}
				for (int k = 1; k < m-1; k++) {
					int r = min(to[k], R[k]);
					for (int l = k; l <= r; l++) ans += L[l] <= k;
				}
			}
		}
		return ans;
	}
	vector<vector<int>> to(n, vector<int>(m));
	for (int i = 1; i < m-1; i++) {
		for (int j = n-2; j > 0; j--) if (!a[j][i]) {
			int l = j;
			while (l-1 > 0 && !a[l-1][i]) l--;
			for (int k = l; k <= j; k++) to[k][i] = j;
			j = l;
		}
	}
	int ans = 0;
	for (int i = 0; i < n; i++) {
		vector<int> l(m), r(m, m-1);
		vector<int> st;
		for (int j = 0; j < m; j++) {
			while (st.size() && to[i][st.back()] >= to[i][j]) st.pop_back();
			if (st.size()) l[j] = st.back();
			st.emplace_back(j);
		}
		st.clear();
		for (int j = m-1; j >= 0; j--) {
			while (st.size() && to[i][st.back()] >= to[i][j]) st.pop_back();
			if (st.size()) r[j] = st.back();
			st.emplace_back(j);
		}
		for (int j = 0; j < m-1; j++) if (l[j] <= j && j <= r[j]) {
			ckmax(ans, (to[i][j] - i + 1) * (r[j] - l[j] - 1));
		}
	}
	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 2 ms 860 KB Output is correct
23 Correct 2 ms 860 KB Output is correct
24 Correct 2 ms 860 KB Output is correct
25 Correct 3 ms 860 KB Output is correct
26 Correct 2 ms 860 KB Output is correct
27 Correct 3 ms 860 KB Output is correct
28 Correct 3 ms 860 KB Output is correct
29 Correct 2 ms 856 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 2 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 3 ms 860 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 3 ms 860 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 28 ms 4488 KB Output is correct
31 Correct 30 ms 4444 KB Output is correct
32 Correct 28 ms 4444 KB Output is correct
33 Correct 24 ms 4488 KB Output is correct
34 Correct 25 ms 4488 KB Output is correct
35 Correct 25 ms 4444 KB Output is correct
36 Correct 25 ms 4488 KB Output is correct
37 Correct 27 ms 4440 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 2 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 3 ms 860 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 3 ms 860 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 28 ms 4488 KB Output is correct
26 Correct 30 ms 4444 KB Output is correct
27 Correct 28 ms 4444 KB Output is correct
28 Correct 24 ms 4488 KB Output is correct
29 Correct 25 ms 4488 KB Output is correct
30 Correct 25 ms 4444 KB Output is correct
31 Correct 25 ms 4488 KB Output is correct
32 Correct 27 ms 4440 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 1606 ms 73208 KB Output is correct
39 Correct 1572 ms 73304 KB Output is correct
40 Correct 1545 ms 73300 KB Output is correct
41 Correct 1522 ms 73300 KB Output is correct
42 Correct 1493 ms 73296 KB Output is correct
43 Correct 1600 ms 73280 KB Output is correct
44 Correct 1597 ms 73208 KB Output is correct
45 Correct 1320 ms 64592 KB Output is correct
46 Correct 1464 ms 73300 KB Output is correct
47 Correct 1440 ms 73204 KB Output is correct
48 Correct 1418 ms 73212 KB Output is correct
49 Correct 1429 ms 73468 KB Output is correct
50 Correct 551 ms 54152 KB Output is correct
51 Correct 284 ms 20560 KB Output is correct
52 Correct 1382 ms 73296 KB Output is correct
53 Correct 1450 ms 73280 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 348 KB Output is correct
2 Correct 6 ms 544 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 380 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct

Subtask #6
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Incorrect 111 ms 34184 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 2 ms 860 KB Output is correct
18 Correct 2 ms 860 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 3 ms 860 KB Output is correct
21 Correct 2 ms 860 KB Output is correct
22 Correct 3 ms 860 KB Output is correct
23 Correct 3 ms 860 KB Output is correct
24 Correct 2 ms 856 KB Output is correct
25 Correct 28 ms 4488 KB Output is correct
26 Correct 30 ms 4444 KB Output is correct
27 Correct 28 ms 4444 KB Output is correct
28 Correct 24 ms 4488 KB Output is correct
29 Correct 25 ms 4488 KB Output is correct
30 Correct 25 ms 4444 KB Output is correct
31 Correct 25 ms 4488 KB Output is correct
32 Correct 27 ms 4440 KB Output is correct
33 Correct 1606 ms 73208 KB Output is correct
34 Correct 1572 ms 73304 KB Output is correct
35 Correct 1545 ms 73300 KB Output is correct
36 Correct 1522 ms 73300 KB Output is correct
37 Correct 1493 ms 73296 KB Output is correct
38 Correct 1600 ms 73280 KB Output is correct
39 Correct 1597 ms 73208 KB Output is correct
40 Correct 1320 ms 64592 KB Output is correct
41 Correct 1464 ms 73300 KB Output is correct
42 Correct 1440 ms 73204 KB Output is correct
43 Correct 1418 ms 73212 KB Output is correct
44 Correct 1429 ms 73468 KB Output is correct
45 Correct 551 ms 54152 KB Output is correct
46 Correct 284 ms 20560 KB Output is correct
47 Correct 1382 ms 73296 KB Output is correct
48 Correct 1450 ms 73280 KB Output is correct
49 Correct 7 ms 348 KB Output is correct
50 Correct 6 ms 544 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 380 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 1 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Incorrect 111 ms 34184 KB Output isn't correct
62 Halted 0 ms 0 KB -