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Submission #1047693

# Submission time Handle Problem Language Result Execution time Memory
1047693 2024-08-07T15:07:21 Z vjudge1 Rectangles (IOI19_rect) C++17
100 / 100
 2733 ms 902288 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
const int N = 2510;
int n,m;
vector<array<int, 2>> gdr[N][N];
vector<array<int, 2>> gdc[N][N];

struct Side {
	int r1, r2, c1, c2;
};


int fen[N];
void upd(int at, int add) {
	at++;
	while(at) {
		fen[at]+=add;
		at-=at&(-at);
	}
}
int qry(int at) {
	at++;
	int sum=0;
	while(at<N) {
		sum+=fen[at];
		at+=at&(-at);
	}
	return sum;
}
vector<int> stk;

long long count_rectangles(std::vector<std::vector<int> > a) {
	n = a.size();
	m = a[0].size();
	for(int i = 0;i<n;i++) {
			stk.clear();
		for(int j = 0;j<m;j++) {
			while(stk.size() and a[i][stk.back()] < a[i][j]){
				stk.pop_back();
			}
			if(stk.size()) {
				gdr[i][j].push_back({stk.back(), 1});
			}
			stk.push_back(j);
		}
		stk.clear();
		for(int j = m-1;j>=0;j--) {
			while(stk.size() and a[i][stk.back()] < a[i][j])stk.pop_back();
			if(stk.size()) {
				if(a[i][j] != a[i][stk.back()]) {
					gdr[i][stk.back()].push_back({j,1});
				}
			}
			stk.push_back(j);
		}
	}
	for(int i = 0;i<m;i++) {
			stk.clear();
		for(int j = 0;j<n;j++) {

			while(stk.size() and a[stk.back()][i] < a[j][i]){
				stk.pop_back();
			}
			if(stk.size()) {
				gdc[j][i].push_back({stk.back(),1});
			}
			stk.push_back(j);
		}
		stk.clear();
		for(int j = n-1;j>=0;j--) {
			while(stk.size() and a[stk.back()][i] < a[j][i])stk.pop_back();
			if(stk.size()) {
				if(a[j][i] != a[stk.back()][i]) {
					gdc[stk.back()][i].push_back({j, 1});
				}
			}
			stk.push_back(j);
		}
	}


	long long ans=0;
	for(int i = 0;i<n;i++) {
		for(int j = 0;j<m;j++) {
		sort(gdr[i][j].begin(), gdr[i][j].end());
		sort(gdc[i][j].begin(), gdc[i][j].end());
		gdr[i][j].erase(unique(gdr[i][j].begin(), gdr[i][j].end()), gdr[i][j].end());
		gdc[i][j].erase(unique(gdc[i][j].begin(), gdc[i][j].end()), gdc[i][j].end());
		if(i) {
				for(auto &[u, v]:gdr[i][j]) {
					auto it = lower_bound(gdr[i-1][j].begin(), gdr[i-1][j].end(), array<int,2>{u, 0});
					if(it!=gdr[i-1][j].end() and (*it)[0] == u) {
						v+=(*it)[1];
					}
				}
			}
			if(j) {
				for(auto &[u, v]:gdc[i][j]) {
					auto it = lower_bound(gdc[i][j-1].begin(), gdc[i][j-1].end(), array<int,2>{u, 0});
					if(it!=gdc[i][j-1].end() and (*it)[0] == u) {
						v+=(*it)[1];
					}
				}
			}
			if(i and j) {
				vector<pair<int,int>> A;
				vector<pair<int,int>> B;
				for(auto k:gdr[i-1][j]) {
					if(k[0]+1==j)continue;
					A.push_back(pair<int,int>(k[0], max(0, i-k[1]-1)));
				}
				for(auto k:gdc[i][j-1]) {
					if(k[0]+1 == i)continue;
					B.push_back(pair<int,int>(max(0, j-k[1]-1), k[0]));
				}
				sort(A.begin(),A.end());
				sort(B.begin(),B.end());
//				A[0] >= B[0]
//
//				B[1] >= A[1]
				int p1 = 0;
				for(auto k:A) {
					while(p1 < (int)B.size() and B[p1].first <= k.first) {
						upd(B[p1].second, 1);
						p1++;
					}
					ans+=qry(k.second);
				}
				while(p1 < B.size()) {
						upd(B[p1].second, 1);
						p1++;
				}
				for(auto k:B)upd(k.second, -1);
			}
		}
	}
	return ans;
}

Compilation message

rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:131:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  131 |     while(p1 < B.size()) {
      |           ~~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296284 KB Output is correct
2 Correct 40 ms 296272 KB Output is correct
3 Correct 41 ms 296276 KB Output is correct
4 Correct 40 ms 296276 KB Output is correct
5 Correct 42 ms 296272 KB Output is correct
6 Correct 41 ms 296276 KB Output is correct
7 Correct 45 ms 296284 KB Output is correct
8 Correct 41 ms 296276 KB Output is correct
9 Correct 40 ms 296284 KB Output is correct
10 Correct 41 ms 296276 KB Output is correct
11 Correct 42 ms 296148 KB Output is correct
12 Correct 42 ms 296272 KB Output is correct
13 Correct 40 ms 296276 KB Output is correct
14 Correct 42 ms 296276 KB Output is correct
15 Correct 40 ms 296332 KB Output is correct
16 Correct 41 ms 296280 KB Output is correct
17 Correct 40 ms 296272 KB Output is correct
18 Correct 42 ms 296284 KB Output is correct
19 Correct 43 ms 296280 KB Output is correct
20 Correct 41 ms 296148 KB Output is correct
21 Correct 41 ms 296148 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296284 KB Output is correct
2 Correct 40 ms 296272 KB Output is correct
3 Correct 41 ms 296276 KB Output is correct
4 Correct 40 ms 296276 KB Output is correct
5 Correct 42 ms 296272 KB Output is correct
6 Correct 41 ms 296276 KB Output is correct
7 Correct 45 ms 296284 KB Output is correct
8 Correct 41 ms 296276 KB Output is correct
9 Correct 40 ms 296284 KB Output is correct
10 Correct 41 ms 296276 KB Output is correct
11 Correct 42 ms 296148 KB Output is correct
12 Correct 42 ms 296272 KB Output is correct
13 Correct 40 ms 296276 KB Output is correct
14 Correct 42 ms 296276 KB Output is correct
15 Correct 40 ms 296332 KB Output is correct
16 Correct 41 ms 296280 KB Output is correct
17 Correct 40 ms 296272 KB Output is correct
18 Correct 42 ms 296284 KB Output is correct
19 Correct 43 ms 296280 KB Output is correct
20 Correct 41 ms 296148 KB Output is correct
21 Correct 41 ms 296148 KB Output is correct
22 Correct 42 ms 296796 KB Output is correct
23 Correct 41 ms 296784 KB Output is correct
24 Correct 42 ms 296836 KB Output is correct
25 Correct 45 ms 296788 KB Output is correct
26 Correct 44 ms 296784 KB Output is correct
27 Correct 43 ms 296788 KB Output is correct
28 Correct 42 ms 296784 KB Output is correct
29 Correct 42 ms 296580 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296284 KB Output is correct
2 Correct 40 ms 296272 KB Output is correct
3 Correct 41 ms 296276 KB Output is correct
4 Correct 40 ms 296276 KB Output is correct
5 Correct 42 ms 296272 KB Output is correct
6 Correct 41 ms 296276 KB Output is correct
7 Correct 45 ms 296284 KB Output is correct
8 Correct 41 ms 296276 KB Output is correct
9 Correct 40 ms 296284 KB Output is correct
10 Correct 41 ms 296276 KB Output is correct
11 Correct 42 ms 296148 KB Output is correct
12 Correct 42 ms 296272 KB Output is correct
13 Correct 40 ms 296276 KB Output is correct
14 Correct 42 ms 296276 KB Output is correct
15 Correct 40 ms 296332 KB Output is correct
16 Correct 41 ms 296280 KB Output is correct
17 Correct 42 ms 296796 KB Output is correct
18 Correct 41 ms 296784 KB Output is correct
19 Correct 42 ms 296836 KB Output is correct
20 Correct 45 ms 296788 KB Output is correct
21 Correct 44 ms 296784 KB Output is correct
22 Correct 43 ms 296788 KB Output is correct
23 Correct 42 ms 296784 KB Output is correct
24 Correct 42 ms 296580 KB Output is correct
25 Correct 40 ms 296272 KB Output is correct
26 Correct 42 ms 296284 KB Output is correct
27 Correct 43 ms 296280 KB Output is correct
28 Correct 41 ms 296148 KB Output is correct
29 Correct 41 ms 296148 KB Output is correct
30 Correct 51 ms 300120 KB Output is correct
31 Correct 49 ms 300036 KB Output is correct
32 Correct 50 ms 300112 KB Output is correct
33 Correct 50 ms 299088 KB Output is correct
34 Correct 53 ms 299604 KB Output is correct
35 Correct 54 ms 299868 KB Output is correct
36 Correct 55 ms 299704 KB Output is correct
37 Correct 53 ms 299612 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296284 KB Output is correct
2 Correct 40 ms 296272 KB Output is correct
3 Correct 41 ms 296276 KB Output is correct
4 Correct 40 ms 296276 KB Output is correct
5 Correct 42 ms 296272 KB Output is correct
6 Correct 41 ms 296276 KB Output is correct
7 Correct 45 ms 296284 KB Output is correct
8 Correct 41 ms 296276 KB Output is correct
9 Correct 40 ms 296284 KB Output is correct
10 Correct 41 ms 296276 KB Output is correct
11 Correct 42 ms 296148 KB Output is correct
12 Correct 42 ms 296272 KB Output is correct
13 Correct 40 ms 296276 KB Output is correct
14 Correct 42 ms 296276 KB Output is correct
15 Correct 40 ms 296332 KB Output is correct
16 Correct 41 ms 296280 KB Output is correct
17 Correct 42 ms 296796 KB Output is correct
18 Correct 41 ms 296784 KB Output is correct
19 Correct 42 ms 296836 KB Output is correct
20 Correct 45 ms 296788 KB Output is correct
21 Correct 44 ms 296784 KB Output is correct
22 Correct 43 ms 296788 KB Output is correct
23 Correct 42 ms 296784 KB Output is correct
24 Correct 42 ms 296580 KB Output is correct
25 Correct 51 ms 300120 KB Output is correct
26 Correct 49 ms 300036 KB Output is correct
27 Correct 50 ms 300112 KB Output is correct
28 Correct 50 ms 299088 KB Output is correct
29 Correct 53 ms 299604 KB Output is correct
30 Correct 54 ms 299868 KB Output is correct
31 Correct 55 ms 299704 KB Output is correct
32 Correct 53 ms 299612 KB Output is correct
33 Correct 40 ms 296272 KB Output is correct
34 Correct 42 ms 296284 KB Output is correct
35 Correct 43 ms 296280 KB Output is correct
36 Correct 41 ms 296148 KB Output is correct
37 Correct 41 ms 296148 KB Output is correct
38 Correct 122 ms 337772 KB Output is correct
39 Correct 134 ms 335208 KB Output is correct
40 Correct 125 ms 334848 KB Output is correct
41 Correct 123 ms 332112 KB Output is correct
42 Correct 152 ms 343120 KB Output is correct
43 Correct 159 ms 343120 KB Output is correct
44 Correct 152 ms 343120 KB Output is correct
45 Correct 148 ms 340560 KB Output is correct
46 Correct 133 ms 331484 KB Output is correct
47 Correct 149 ms 332136 KB Output is correct
48 Correct 216 ms 337232 KB Output is correct
49 Correct 227 ms 338076 KB Output is correct
50 Correct 123 ms 317068 KB Output is correct
51 Correct 129 ms 317012 KB Output is correct
52 Correct 222 ms 337256 KB Output is correct
53 Correct 221 ms 337356 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 296784 KB Output is correct
2 Correct 42 ms 296660 KB Output is correct
3 Correct 42 ms 296788 KB Output is correct
4 Correct 40 ms 296284 KB Output is correct
5 Correct 43 ms 296788 KB Output is correct
6 Correct 44 ms 296788 KB Output is correct
7 Correct 43 ms 296788 KB Output is correct
8 Correct 43 ms 296740 KB Output is correct
9 Correct 44 ms 296784 KB Output is correct
10 Correct 41 ms 296272 KB Output is correct
11 Correct 42 ms 296404 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296272 KB Output is correct
2 Correct 42 ms 296284 KB Output is correct
3 Correct 43 ms 296280 KB Output is correct
4 Correct 41 ms 296148 KB Output is correct
5 Correct 41 ms 296148 KB Output is correct
6 Correct 43 ms 296276 KB Output is correct
7 Correct 678 ms 499864 KB Output is correct
8 Correct 1457 ms 738672 KB Output is correct
9 Correct 1502 ms 741716 KB Output is correct
10 Correct 1447 ms 739012 KB Output is correct
11 Correct 389 ms 515156 KB Output is correct
12 Correct 718 ms 711704 KB Output is correct
13 Correct 740 ms 739200 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296284 KB Output is correct
2 Correct 40 ms 296272 KB Output is correct
3 Correct 41 ms 296276 KB Output is correct
4 Correct 40 ms 296276 KB Output is correct
5 Correct 42 ms 296272 KB Output is correct
6 Correct 41 ms 296276 KB Output is correct
7 Correct 45 ms 296284 KB Output is correct
8 Correct 41 ms 296276 KB Output is correct
9 Correct 40 ms 296284 KB Output is correct
10 Correct 41 ms 296276 KB Output is correct
11 Correct 42 ms 296148 KB Output is correct
12 Correct 42 ms 296272 KB Output is correct
13 Correct 40 ms 296276 KB Output is correct
14 Correct 42 ms 296276 KB Output is correct
15 Correct 40 ms 296332 KB Output is correct
16 Correct 41 ms 296280 KB Output is correct
17 Correct 42 ms 296796 KB Output is correct
18 Correct 41 ms 296784 KB Output is correct
19 Correct 42 ms 296836 KB Output is correct
20 Correct 45 ms 296788 KB Output is correct
21 Correct 44 ms 296784 KB Output is correct
22 Correct 43 ms 296788 KB Output is correct
23 Correct 42 ms 296784 KB Output is correct
24 Correct 42 ms 296580 KB Output is correct
25 Correct 51 ms 300120 KB Output is correct
26 Correct 49 ms 300036 KB Output is correct
27 Correct 50 ms 300112 KB Output is correct
28 Correct 50 ms 299088 KB Output is correct
29 Correct 53 ms 299604 KB Output is correct
30 Correct 54 ms 299868 KB Output is correct
31 Correct 55 ms 299704 KB Output is correct
32 Correct 53 ms 299612 KB Output is correct
33 Correct 122 ms 337772 KB Output is correct
34 Correct 134 ms 335208 KB Output is correct
35 Correct 125 ms 334848 KB Output is correct
36 Correct 123 ms 332112 KB Output is correct
37 Correct 152 ms 343120 KB Output is correct
38 Correct 159 ms 343120 KB Output is correct
39 Correct 152 ms 343120 KB Output is correct
40 Correct 148 ms 340560 KB Output is correct
41 Correct 133 ms 331484 KB Output is correct
42 Correct 149 ms 332136 KB Output is correct
43 Correct 216 ms 337232 KB Output is correct
44 Correct 227 ms 338076 KB Output is correct
45 Correct 123 ms 317068 KB Output is correct
46 Correct 129 ms 317012 KB Output is correct
47 Correct 222 ms 337256 KB Output is correct
48 Correct 221 ms 337356 KB Output is correct
49 Correct 46 ms 296784 KB Output is correct
50 Correct 42 ms 296660 KB Output is correct
51 Correct 42 ms 296788 KB Output is correct
52 Correct 40 ms 296284 KB Output is correct
53 Correct 43 ms 296788 KB Output is correct
54 Correct 44 ms 296788 KB Output is correct
55 Correct 43 ms 296788 KB Output is correct
56 Correct 43 ms 296740 KB Output is correct
57 Correct 44 ms 296784 KB Output is correct
58 Correct 41 ms 296272 KB Output is correct
59 Correct 42 ms 296404 KB Output is correct
60 Correct 43 ms 296276 KB Output is correct
61 Correct 678 ms 499864 KB Output is correct
62 Correct 1457 ms 738672 KB Output is correct
63 Correct 1502 ms 741716 KB Output is correct
64 Correct 1447 ms 739012 KB Output is correct
65 Correct 389 ms 515156 KB Output is correct
66 Correct 718 ms 711704 KB Output is correct
67 Correct 740 ms 739200 KB Output is correct
68 Correct 40 ms 296272 KB Output is correct
69 Correct 42 ms 296284 KB Output is correct
70 Correct 43 ms 296280 KB Output is correct
71 Correct 41 ms 296148 KB Output is correct
72 Correct 41 ms 296148 KB Output is correct
73 Correct 1118 ms 810132 KB Output is correct
74 Correct 1160 ms 767600 KB Output is correct
75 Correct 1141 ms 767568 KB Output is correct
76 Correct 1151 ms 736444 KB Output is correct
77 Correct 1829 ms 854356 KB Output is correct
78 Correct 1497 ms 604780 KB Output is correct
79 Correct 1643 ms 622124 KB Output is correct
80 Correct 2733 ms 822260 KB Output is correct
81 Correct 1715 ms 634624 KB Output is correct
82 Correct 2185 ms 747652 KB Output is correct
83 Correct 2714 ms 860508 KB Output is correct
84 Correct 1516 ms 624048 KB Output is correct
85 Correct 2593 ms 855132 KB Output is correct
86 Correct 2449 ms 839660 KB Output is correct
87 Correct 1033 ms 664024 KB Output is correct
88 Correct 1887 ms 901476 KB Output is correct
89 Correct 1851 ms 902288 KB Output is correct
90 Correct 1883 ms 902144 KB Output is correct