oj.uz

Submission #1069793

# Submission time Handle Problem Language Result Execution time Memory
1069793 2024-08-22T08:58:21 Z Gromp15 Rectangles (IOI19_rect) C++17
72 / 100
 1448 ms 1048576 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;

template<typename T> struct fenwick {
    int n; vector<T> bit;
    fenwick(int a) : n(a), bit(a+1) {}
    T sum(int pos) {
        T s = 0;
        for (; pos; s += bit[pos], pos -= pos&-pos);
        return s;
    }
    T query(int l, int r) {
        return sum(r+1) - sum(l);
    }
    void update(int pos, T x) {
        pos++;
        for (; pos <= n; bit[pos] += x, pos += pos&-pos);
    }
};
 
const int nax = 2505;
short st[nax], idx[nax], idx2[nax];
vector<short> who[nax][nax], who2[nax][nax], to[nax][nax], to2[nax][nax];
fenwick<int> fw(nax);
 
long long count_rectangles(std::vector<std::vector<int>> a) {
	int n = sz(a), m = sz(a[0]);
	vector<vector<short>> u(n, vector<short>(m));
	vector<vector<short>> d(n, vector<short>(m));
	vector<vector<short>> l(n, vector<short>(m));
	vector<vector<short>> r(n, vector<short>(m));
	for (int i = 0, tp = 0; i < n; i++) {
		for (int j = 0; j < m; j++) {
			while (tp && a[i][j] >= a[i][st[tp]]) tp--;
			l[i][j] = tp ? st[tp] : m + 1;
			st[++tp] = j;
		}
		tp = 0;
		for (int j = m-1; j >= 0; j--) {
			while (tp && a[i][j] >= a[i][st[tp]]) tp--;
			r[i][j] = tp ? st[tp] : -2;
			st[++tp] = j;
		}
	}
	for (int i = 0, tp = 0; i < m; i++) {
		for (int j = 0; j < n; j++) {
			while (tp && a[j][i] >= a[st[tp]][i]) tp--;
			u[j][i] = tp ? st[tp] : n + 1;
			st[++tp] = j;
		}
		tp = 0;
		for (int j = n-1; j >= 0; j--) {
			while (tp && a[j][i] >= a[st[tp]][i]) tp--;
			d[j][i] = tp ? st[tp] : -2;
			st[++tp] = j;
		}
	}
	for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) { 
		int L = l[i][j] + 1, R = r[i][j] - 1;
		if (L <= R) who[i][L].emplace_back(R);
		int U = u[i][j] + 1, D = d[i][j] - 1;
		if (U <= D) who2[U][j].emplace_back(D);
	}
	u.clear(); u.shrink_to_fit();
	r.clear(); r.shrink_to_fit();
	l.clear(); l.shrink_to_fit();
	d.clear(); d.shrink_to_fit();
	for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) {
		sort(all(who[i][j]));
		sort(all(who2[i][j]));
		who[i][j].erase(unique(all(who[i][j])), who[i][j].end());
		who2[i][j].erase(unique(all(who2[i][j])), who2[i][j].end());
		to[i][j].resize(sz(who[i][j]));
		to2[i][j].resize(sz(who2[i][j]));
	}
	for (int i = n-1; i >= 0; i--) {
		for (int j = m-1; j >= 0; j--) {
			for (int k = 0; k < sz(who[i][j]); k++) {
				int r = who[i][j][k];
				if (i+1 < n) {
					auto it = lower_bound(all(who[i+1][j]), r);
					if (it != who[i+1][j].end() && *it == r) to[i][j][k] = to[i+1][j][it - who[i+1][j].begin()];
					else to[i][j][k] = i;
				}
				else to[i][j][k] = i;
			}
			for (int k = 0; k < sz(who2[i][j]); k++) {
				int d = who2[i][j][k];
				if (j+1 < m) {
					auto it = lower_bound(all(who2[i][j+1]), d);
					if (it != who2[i][j+1].end() && *it == d) to2[i][j][k] = to2[i][j+1][it - who2[i][j+1].begin()];
					else to2[i][j][k] = j;
				}
				else to2[i][j][k] = j;
			}
		}
	}
	ll ans = 0;
	for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) {
		iota(idx, idx + sz(who[i][j]), 0);
		sort(idx, idx + sz(who[i][j]), [&](int x, int y) { return who[i][j][x] < who[i][j][y]; });
		iota(idx2, idx2 + sz(who2[i][j]), 0);
		sort(idx2, idx2 + sz(who2[i][j]), [&](int x, int y) { return to2[i][j][x] < to2[i][j][y]; });
		int t = 0;
		for (int k = 0; k < sz(who2[i][j]); k++) {
			while (t < sz(who[i][j]) && who[i][j][idx[t]] <= to2[i][j][idx2[k]]) {
				fw.update(to[i][j][idx[t++]], 1);
			}
			ans += fw.query(who2[i][j][idx2[k]], nax-1);
		}
		for (int k = 0; k < t; k++) fw.update(to[i][j][idx[k]], -1);
	}
	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 589648 KB Output is correct
2 Correct 172 ms 589924 KB Output is correct
3 Correct 177 ms 589908 KB Output is correct
4 Correct 168 ms 589776 KB Output is correct
5 Correct 165 ms 589648 KB Output is correct
6 Correct 181 ms 589840 KB Output is correct
7 Correct 177 ms 589912 KB Output is correct
8 Correct 172 ms 589908 KB Output is correct
9 Correct 175 ms 589708 KB Output is correct
10 Correct 230 ms 589928 KB Output is correct
11 Correct 196 ms 589736 KB Output is correct
12 Correct 177 ms 589884 KB Output is correct
13 Correct 174 ms 589648 KB Output is correct
14 Correct 190 ms 589652 KB Output is correct
15 Correct 195 ms 589648 KB Output is correct
16 Correct 176 ms 589764 KB Output is correct
17 Correct 196 ms 589652 KB Output is correct
18 Correct 193 ms 589784 KB Output is correct
19 Correct 174 ms 589816 KB Output is correct
20 Correct 184 ms 589824 KB Output is correct
21 Correct 165 ms 589848 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 589648 KB Output is correct
2 Correct 172 ms 589924 KB Output is correct
3 Correct 177 ms 589908 KB Output is correct
4 Correct 168 ms 589776 KB Output is correct
5 Correct 165 ms 589648 KB Output is correct
6 Correct 181 ms 589840 KB Output is correct
7 Correct 177 ms 589912 KB Output is correct
8 Correct 172 ms 589908 KB Output is correct
9 Correct 175 ms 589708 KB Output is correct
10 Correct 230 ms 589928 KB Output is correct
11 Correct 196 ms 589736 KB Output is correct
12 Correct 177 ms 589884 KB Output is correct
13 Correct 174 ms 589648 KB Output is correct
14 Correct 190 ms 589652 KB Output is correct
15 Correct 195 ms 589648 KB Output is correct
16 Correct 176 ms 589764 KB Output is correct
17 Correct 196 ms 589652 KB Output is correct
18 Correct 193 ms 589784 KB Output is correct
19 Correct 174 ms 589816 KB Output is correct
20 Correct 184 ms 589824 KB Output is correct
21 Correct 165 ms 589848 KB Output is correct
22 Correct 167 ms 590672 KB Output is correct
23 Correct 168 ms 590672 KB Output is correct
24 Correct 166 ms 590676 KB Output is correct
25 Correct 173 ms 590024 KB Output is correct
26 Correct 182 ms 590156 KB Output is correct
27 Correct 174 ms 590100 KB Output is correct
28 Correct 181 ms 590176 KB Output is correct
29 Correct 176 ms 590048 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 589648 KB Output is correct
2 Correct 172 ms 589924 KB Output is correct
3 Correct 177 ms 589908 KB Output is correct
4 Correct 168 ms 589776 KB Output is correct
5 Correct 165 ms 589648 KB Output is correct
6 Correct 181 ms 589840 KB Output is correct
7 Correct 177 ms 589912 KB Output is correct
8 Correct 172 ms 589908 KB Output is correct
9 Correct 175 ms 589708 KB Output is correct
10 Correct 230 ms 589928 KB Output is correct
11 Correct 196 ms 589736 KB Output is correct
12 Correct 177 ms 589884 KB Output is correct
13 Correct 174 ms 589648 KB Output is correct
14 Correct 190 ms 589652 KB Output is correct
15 Correct 195 ms 589648 KB Output is correct
16 Correct 176 ms 589764 KB Output is correct
17 Correct 167 ms 590672 KB Output is correct
18 Correct 168 ms 590672 KB Output is correct
19 Correct 166 ms 590676 KB Output is correct
20 Correct 173 ms 590024 KB Output is correct
21 Correct 182 ms 590156 KB Output is correct
22 Correct 174 ms 590100 KB Output is correct
23 Correct 181 ms 590176 KB Output is correct
24 Correct 176 ms 590048 KB Output is correct
25 Correct 196 ms 589652 KB Output is correct
26 Correct 193 ms 589784 KB Output is correct
27 Correct 174 ms 589816 KB Output is correct
28 Correct 184 ms 589824 KB Output is correct
29 Correct 165 ms 589848 KB Output is correct
30 Correct 175 ms 595024 KB Output is correct
31 Correct 191 ms 594904 KB Output is correct
32 Correct 213 ms 595024 KB Output is correct
33 Correct 176 ms 591752 KB Output is correct
34 Correct 235 ms 592520 KB Output is correct
35 Correct 201 ms 592472 KB Output is correct
36 Correct 252 ms 592468 KB Output is correct
37 Correct 204 ms 592264 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 589648 KB Output is correct
2 Correct 172 ms 589924 KB Output is correct
3 Correct 177 ms 589908 KB Output is correct
4 Correct 168 ms 589776 KB Output is correct
5 Correct 165 ms 589648 KB Output is correct
6 Correct 181 ms 589840 KB Output is correct
7 Correct 177 ms 589912 KB Output is correct
8 Correct 172 ms 589908 KB Output is correct
9 Correct 175 ms 589708 KB Output is correct
10 Correct 230 ms 589928 KB Output is correct
11 Correct 196 ms 589736 KB Output is correct
12 Correct 177 ms 589884 KB Output is correct
13 Correct 174 ms 589648 KB Output is correct
14 Correct 190 ms 589652 KB Output is correct
15 Correct 195 ms 589648 KB Output is correct
16 Correct 176 ms 589764 KB Output is correct
17 Correct 167 ms 590672 KB Output is correct
18 Correct 168 ms 590672 KB Output is correct
19 Correct 166 ms 590676 KB Output is correct
20 Correct 173 ms 590024 KB Output is correct
21 Correct 182 ms 590156 KB Output is correct
22 Correct 174 ms 590100 KB Output is correct
23 Correct 181 ms 590176 KB Output is correct
24 Correct 176 ms 590048 KB Output is correct
25 Correct 175 ms 595024 KB Output is correct
26 Correct 191 ms 594904 KB Output is correct
27 Correct 213 ms 595024 KB Output is correct
28 Correct 176 ms 591752 KB Output is correct
29 Correct 235 ms 592520 KB Output is correct
30 Correct 201 ms 592472 KB Output is correct
31 Correct 252 ms 592468 KB Output is correct
32 Correct 204 ms 592264 KB Output is correct
33 Correct 196 ms 589652 KB Output is correct
34 Correct 193 ms 589784 KB Output is correct
35 Correct 174 ms 589816 KB Output is correct
36 Correct 184 ms 589824 KB Output is correct
37 Correct 165 ms 589848 KB Output is correct
38 Correct 258 ms 624292 KB Output is correct
39 Correct 218 ms 610132 KB Output is correct
40 Correct 284 ms 610176 KB Output is correct
41 Correct 224 ms 599120 KB Output is correct
42 Correct 315 ms 654860 KB Output is correct
43 Correct 319 ms 654636 KB Output is correct
44 Correct 298 ms 654676 KB Output is correct
45 Correct 308 ms 650580 KB Output is correct
46 Correct 251 ms 608944 KB Output is correct
47 Correct 295 ms 613968 KB Output is correct
48 Correct 347 ms 624208 KB Output is correct
49 Correct 393 ms 624312 KB Output is correct
50 Correct 268 ms 606992 KB Output is correct
51 Correct 267 ms 607020 KB Output is correct
52 Correct 393 ms 621904 KB Output is correct
53 Correct 342 ms 621908 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 190 ms 590416 KB Output is correct
2 Correct 171 ms 590416 KB Output is correct
3 Correct 173 ms 589948 KB Output is correct
4 Correct 176 ms 589656 KB Output is correct
5 Correct 163 ms 589984 KB Output is correct
6 Correct 168 ms 590124 KB Output is correct
7 Correct 173 ms 590152 KB Output is correct
8 Correct 191 ms 590160 KB Output is correct
9 Correct 178 ms 590020 KB Output is correct
10 Correct 173 ms 589904 KB Output is correct
11 Correct 172 ms 589912 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 589652 KB Output is correct
2 Correct 193 ms 589784 KB Output is correct
3 Correct 174 ms 589816 KB Output is correct
4 Correct 184 ms 589824 KB Output is correct
5 Correct 165 ms 589848 KB Output is correct
6 Correct 175 ms 589652 KB Output is correct
7 Correct 750 ms 701776 KB Output is correct
8 Correct 1429 ms 833108 KB Output is correct
9 Correct 1435 ms 834480 KB Output is correct
10 Correct 1448 ms 834524 KB Output is correct
11 Correct 320 ms 638416 KB Output is correct
12 Correct 477 ms 682068 KB Output is correct
13 Correct 490 ms 688204 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 589648 KB Output is correct
2 Correct 172 ms 589924 KB Output is correct
3 Correct 177 ms 589908 KB Output is correct
4 Correct 168 ms 589776 KB Output is correct
5 Correct 165 ms 589648 KB Output is correct
6 Correct 181 ms 589840 KB Output is correct
7 Correct 177 ms 589912 KB Output is correct
8 Correct 172 ms 589908 KB Output is correct
9 Correct 175 ms 589708 KB Output is correct
10 Correct 230 ms 589928 KB Output is correct
11 Correct 196 ms 589736 KB Output is correct
12 Correct 177 ms 589884 KB Output is correct
13 Correct 174 ms 589648 KB Output is correct
14 Correct 190 ms 589652 KB Output is correct
15 Correct 195 ms 589648 KB Output is correct
16 Correct 176 ms 589764 KB Output is correct
17 Correct 167 ms 590672 KB Output is correct
18 Correct 168 ms 590672 KB Output is correct
19 Correct 166 ms 590676 KB Output is correct
20 Correct 173 ms 590024 KB Output is correct
21 Correct 182 ms 590156 KB Output is correct
22 Correct 174 ms 590100 KB Output is correct
23 Correct 181 ms 590176 KB Output is correct
24 Correct 176 ms 590048 KB Output is correct
25 Correct 175 ms 595024 KB Output is correct
26 Correct 191 ms 594904 KB Output is correct
27 Correct 213 ms 595024 KB Output is correct
28 Correct 176 ms 591752 KB Output is correct
29 Correct 235 ms 592520 KB Output is correct
30 Correct 201 ms 592472 KB Output is correct
31 Correct 252 ms 592468 KB Output is correct
32 Correct 204 ms 592264 KB Output is correct
33 Correct 258 ms 624292 KB Output is correct
34 Correct 218 ms 610132 KB Output is correct
35 Correct 284 ms 610176 KB Output is correct
36 Correct 224 ms 599120 KB Output is correct
37 Correct 315 ms 654860 KB Output is correct
38 Correct 319 ms 654636 KB Output is correct
39 Correct 298 ms 654676 KB Output is correct
40 Correct 308 ms 650580 KB Output is correct
41 Correct 251 ms 608944 KB Output is correct
42 Correct 295 ms 613968 KB Output is correct
43 Correct 347 ms 624208 KB Output is correct
44 Correct 393 ms 624312 KB Output is correct
45 Correct 268 ms 606992 KB Output is correct
46 Correct 267 ms 607020 KB Output is correct
47 Correct 393 ms 621904 KB Output is correct
48 Correct 342 ms 621908 KB Output is correct
49 Correct 190 ms 590416 KB Output is correct
50 Correct 171 ms 590416 KB Output is correct
51 Correct 173 ms 589948 KB Output is correct
52 Correct 176 ms 589656 KB Output is correct
53 Correct 163 ms 589984 KB Output is correct
54 Correct 168 ms 590124 KB Output is correct
55 Correct 173 ms 590152 KB Output is correct
56 Correct 191 ms 590160 KB Output is correct
57 Correct 178 ms 590020 KB Output is correct
58 Correct 173 ms 589904 KB Output is correct
59 Correct 172 ms 589912 KB Output is correct
60 Correct 175 ms 589652 KB Output is correct
61 Correct 750 ms 701776 KB Output is correct
62 Correct 1429 ms 833108 KB Output is correct
63 Correct 1435 ms 834480 KB Output is correct
64 Correct 1448 ms 834524 KB Output is correct
65 Correct 320 ms 638416 KB Output is correct
66 Correct 477 ms 682068 KB Output is correct
67 Correct 490 ms 688204 KB Output is correct
68 Correct 196 ms 589652 KB Output is correct
69 Correct 193 ms 589784 KB Output is correct
70 Correct 174 ms 589816 KB Output is correct
71 Correct 184 ms 589824 KB Output is correct
72 Correct 165 ms 589848 KB Output is correct
73 Correct 1208 ms 1048576 KB Output is correct
74 Correct 1084 ms 873056 KB Output is correct
75 Correct 1103 ms 873376 KB Output is correct
76 Correct 889 ms 729892 KB Output is correct
77 Runtime error 835 ms 1048576 KB Execution killed with signal 9
78 Halted 0 ms 0 KB -