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Submission #1047493

# Submission time Handle Problem Language Result Execution time Memory
1047493 2024-08-07T13:38:20 Z vjudge1 Rectangles (IOI19_rect) C++17
72 / 100
 4032 ms 1048576 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
const int N = 2510;
int n,m;
vector<pair<int,int>> gdr[N];
vector<pair<int,int>> gdc[N];

struct Side {
	int r1, r2, c1, c2;
};
vector<pair<int,int>> hsides[N][N];
vector<pair<int,int>> vsides[N][N];
vector<pair<int,int>> swp[N];


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;
}
			

long long count_rectangles(std::vector<std::vector<int> > a) {
	n = a.size();
	m = a[0].size();
	for(int i = 0;i<n;i++) {
		vector<int> stk;
		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].push_back({stk.back(), j});
			}
			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].push_back({j, stk.back()});
			}
			stk.push_back(j);
		}
		sort(gdr[i].begin(), gdr[i].end());
	}
	for(int i = 0;i<m;i++) {
		vector<int> stk;
		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[i].push_back({stk.back(), j});
			}
			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()) {
				gdc[i].push_back({j, stk.back()});
			}
			stk.push_back(j);
		}
		sort(gdc[i].begin(), gdc[i].end());
		gdc[i].erase(unique(gdc[i].begin(), gdc[i].end()), gdc[i].end());
	}
	Side seg;
	for(int i = 0;i<n;i++) {
		for(auto pr:gdr[i]) {

			if(pr.first +1 == pr.second)continue;
			if(i!=n-1 and (*lower_bound(gdr[i+1].begin(), gdr[i+1].end(), pr)) == pr)continue;
			seg.r1 = pr.first;
			seg.r2 = pr.second;
			seg.c2 = i;
			for(int j = i;j>=0;j--){
				auto it = (lower_bound(gdr[j].begin(), gdr[j].end(), pr));
				if(it == gdr[j].end())break;
				if((*it)!=pr)break;
				seg.c1=j;
			}
			seg.c1--;
			seg.c2++;
			seg.c1=max(seg.c1, 0);
			seg.c2=min(seg.c2, n-1);
			for(int j = seg.c1;j<=seg.c2;j++) {
				hsides[j][seg.r2].push_back(pair<int,int>(seg.c1, seg.r1));
			}
		}
	}
	for(int i = 0;i<m;i++) {
		for(auto pr:gdc[i]) {
			if(pr.first +1 == pr.second)continue;
			if(i!=m-1 and (*lower_bound(gdc[i+1].begin(), gdc[i+1].end(), pr)) == pr)continue;
			seg.r1 = pr.first;
			seg.r2 = pr.second;
			seg.c2 = i;
			for(int j = i;j>=0;j--){
				auto it = (lower_bound(gdc[j].begin(), gdc[j].end(), pr));
				if(it == gdc[j].end())break;
				if((*it)!=pr)break;
				seg.c1=j;
			}
			seg.c1--;
			seg.c2++;
			seg.c1=max(seg.c1, 0);
			seg.c2=min(seg.c2, m-1);
			for(int j = seg.c1;j<=seg.c2;j++) {
				vsides[seg.r2][j].push_back(pair<int,int>(seg.r1, seg.c1));
			}
		}
	}


	long long ans=0;
	for(int i = 0;i<n;i++) {
		for(int j = 0;j<m;j++) {
			int tmp=0;
//			for(auto k:vsides[i][j]) {
//				for(auto k2:hsides[i][j]) {
//					if(k2.second >= k.second and k2.first <= k.first) {
//						ans++;
//						tmp++;
//					}
//				}
//			}
			sort(vsides[i][j].begin(), vsides[i][j].end());
			sort(hsides[i][j].begin(), hsides[i][j].end());
			int p1 = 0;
			for(auto k:vsides[i][j]) {
				while(p1 < (int)hsides[i][j].size() and hsides[i][j][p1].first <= k.first) {
					upd(hsides[i][j][p1++].second, 1);
				}
				ans+=qry(k.second);
			}
			while(p1 < (int)hsides[i][j].size()) {
				upd(hsides[i][j][p1++].second, 1);
			}
			for(auto k:hsides[i][j]) {
				upd(k.second, -1);
			}
		}
	}
	return ans;
}

Compilation message

rect.cpp: In function 'long long int count_rectangles(std::vector<std::vector<int> >)':
rect.cpp:135:8: warning: unused variable 'tmp' [-Wunused-variable]
  135 |    int tmp=0;
      |        ^~~
rect.cpp:99:10: warning: 'seg.Side::c1' may be used uninitialized in this function [-Wmaybe-uninitialized]
   99 |    seg.c1--;
      |    ~~~~~~^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296288 KB Output is correct
2 Correct 54 ms 296304 KB Output is correct
3 Correct 40 ms 296528 KB Output is correct
4 Correct 50 ms 296540 KB Output is correct
5 Correct 44 ms 296408 KB Output is correct
6 Correct 47 ms 296532 KB Output is correct
7 Correct 48 ms 296540 KB Output is correct
8 Correct 41 ms 296536 KB Output is correct
9 Correct 40 ms 296540 KB Output is correct
10 Correct 46 ms 296528 KB Output is correct
11 Correct 59 ms 296532 KB Output is correct
12 Correct 41 ms 296532 KB Output is correct
13 Correct 42 ms 296272 KB Output is correct
14 Correct 74 ms 296468 KB Output is correct
15 Correct 70 ms 296272 KB Output is correct
16 Correct 52 ms 296452 KB Output is correct
17 Correct 60 ms 296352 KB Output is correct
18 Correct 58 ms 296404 KB Output is correct
19 Correct 51 ms 296532 KB Output is correct
20 Correct 65 ms 296276 KB Output is correct
21 Correct 42 ms 296280 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296288 KB Output is correct
2 Correct 54 ms 296304 KB Output is correct
3 Correct 40 ms 296528 KB Output is correct
4 Correct 50 ms 296540 KB Output is correct
5 Correct 44 ms 296408 KB Output is correct
6 Correct 47 ms 296532 KB Output is correct
7 Correct 48 ms 296540 KB Output is correct
8 Correct 41 ms 296536 KB Output is correct
9 Correct 40 ms 296540 KB Output is correct
10 Correct 46 ms 296528 KB Output is correct
11 Correct 59 ms 296532 KB Output is correct
12 Correct 41 ms 296532 KB Output is correct
13 Correct 42 ms 296272 KB Output is correct
14 Correct 74 ms 296468 KB Output is correct
15 Correct 70 ms 296272 KB Output is correct
16 Correct 52 ms 296452 KB Output is correct
17 Correct 60 ms 296352 KB Output is correct
18 Correct 58 ms 296404 KB Output is correct
19 Correct 51 ms 296532 KB Output is correct
20 Correct 65 ms 296276 KB Output is correct
21 Correct 42 ms 296280 KB Output is correct
22 Correct 57 ms 296928 KB Output is correct
23 Correct 49 ms 296932 KB Output is correct
24 Correct 46 ms 297012 KB Output is correct
25 Correct 49 ms 296980 KB Output is correct
26 Correct 56 ms 297080 KB Output is correct
27 Correct 76 ms 297300 KB Output is correct
28 Correct 79 ms 297300 KB Output is correct
29 Correct 51 ms 296788 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296288 KB Output is correct
2 Correct 54 ms 296304 KB Output is correct
3 Correct 40 ms 296528 KB Output is correct
4 Correct 50 ms 296540 KB Output is correct
5 Correct 44 ms 296408 KB Output is correct
6 Correct 47 ms 296532 KB Output is correct
7 Correct 48 ms 296540 KB Output is correct
8 Correct 41 ms 296536 KB Output is correct
9 Correct 40 ms 296540 KB Output is correct
10 Correct 46 ms 296528 KB Output is correct
11 Correct 59 ms 296532 KB Output is correct
12 Correct 41 ms 296532 KB Output is correct
13 Correct 42 ms 296272 KB Output is correct
14 Correct 74 ms 296468 KB Output is correct
15 Correct 70 ms 296272 KB Output is correct
16 Correct 52 ms 296452 KB Output is correct
17 Correct 57 ms 296928 KB Output is correct
18 Correct 49 ms 296932 KB Output is correct
19 Correct 46 ms 297012 KB Output is correct
20 Correct 49 ms 296980 KB Output is correct
21 Correct 56 ms 297080 KB Output is correct
22 Correct 76 ms 297300 KB Output is correct
23 Correct 79 ms 297300 KB Output is correct
24 Correct 51 ms 296788 KB Output is correct
25 Correct 60 ms 296352 KB Output is correct
26 Correct 58 ms 296404 KB Output is correct
27 Correct 51 ms 296532 KB Output is correct
28 Correct 65 ms 296276 KB Output is correct
29 Correct 42 ms 296280 KB Output is correct
30 Correct 87 ms 299064 KB Output is correct
31 Correct 64 ms 299092 KB Output is correct
32 Correct 65 ms 299112 KB Output is correct
33 Correct 72 ms 300116 KB Output is correct
34 Correct 98 ms 301520 KB Output is correct
35 Correct 109 ms 301396 KB Output is correct
36 Correct 111 ms 301104 KB Output is correct
37 Correct 106 ms 300916 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296288 KB Output is correct
2 Correct 54 ms 296304 KB Output is correct
3 Correct 40 ms 296528 KB Output is correct
4 Correct 50 ms 296540 KB Output is correct
5 Correct 44 ms 296408 KB Output is correct
6 Correct 47 ms 296532 KB Output is correct
7 Correct 48 ms 296540 KB Output is correct
8 Correct 41 ms 296536 KB Output is correct
9 Correct 40 ms 296540 KB Output is correct
10 Correct 46 ms 296528 KB Output is correct
11 Correct 59 ms 296532 KB Output is correct
12 Correct 41 ms 296532 KB Output is correct
13 Correct 42 ms 296272 KB Output is correct
14 Correct 74 ms 296468 KB Output is correct
15 Correct 70 ms 296272 KB Output is correct
16 Correct 52 ms 296452 KB Output is correct
17 Correct 57 ms 296928 KB Output is correct
18 Correct 49 ms 296932 KB Output is correct
19 Correct 46 ms 297012 KB Output is correct
20 Correct 49 ms 296980 KB Output is correct
21 Correct 56 ms 297080 KB Output is correct
22 Correct 76 ms 297300 KB Output is correct
23 Correct 79 ms 297300 KB Output is correct
24 Correct 51 ms 296788 KB Output is correct
25 Correct 87 ms 299064 KB Output is correct
26 Correct 64 ms 299092 KB Output is correct
27 Correct 65 ms 299112 KB Output is correct
28 Correct 72 ms 300116 KB Output is correct
29 Correct 98 ms 301520 KB Output is correct
30 Correct 109 ms 301396 KB Output is correct
31 Correct 111 ms 301104 KB Output is correct
32 Correct 106 ms 300916 KB Output is correct
33 Correct 60 ms 296352 KB Output is correct
34 Correct 58 ms 296404 KB Output is correct
35 Correct 51 ms 296532 KB Output is correct
36 Correct 65 ms 296276 KB Output is correct
37 Correct 42 ms 296280 KB Output is correct
38 Correct 205 ms 332992 KB Output is correct
39 Correct 184 ms 335784 KB Output is correct
40 Correct 209 ms 335820 KB Output is correct
41 Correct 235 ms 338792 KB Output is correct
42 Correct 185 ms 332624 KB Output is correct
43 Correct 300 ms 332612 KB Output is correct
44 Correct 202 ms 332628 KB Output is correct
45 Correct 262 ms 330840 KB Output is correct
46 Correct 280 ms 334168 KB Output is correct
47 Correct 291 ms 338900 KB Output is correct
48 Correct 540 ms 360492 KB Output is correct
49 Correct 641 ms 360948 KB Output is correct
50 Correct 304 ms 328824 KB Output is correct
51 Correct 340 ms 328732 KB Output is correct
52 Correct 486 ms 354128 KB Output is correct
53 Correct 440 ms 354516 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 296784 KB Output is correct
2 Correct 80 ms 296688 KB Output is correct
3 Correct 89 ms 296720 KB Output is correct
4 Correct 54 ms 296276 KB Output is correct
5 Correct 66 ms 297044 KB Output is correct
6 Correct 47 ms 297044 KB Output is correct
7 Correct 99 ms 297040 KB Output is correct
8 Correct 73 ms 296844 KB Output is correct
9 Correct 47 ms 297048 KB Output is correct
10 Correct 98 ms 296528 KB Output is correct
11 Correct 81 ms 296640 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 296352 KB Output is correct
2 Correct 58 ms 296404 KB Output is correct
3 Correct 51 ms 296532 KB Output is correct
4 Correct 65 ms 296276 KB Output is correct
5 Correct 42 ms 296280 KB Output is correct
6 Correct 45 ms 296396 KB Output is correct
7 Correct 1374 ms 510220 KB Output is correct
8 Correct 3023 ms 749632 KB Output is correct
9 Correct 3111 ms 751908 KB Output is correct
10 Correct 2945 ms 758504 KB Output is correct
11 Correct 444 ms 411332 KB Output is correct
12 Correct 747 ms 505584 KB Output is correct
13 Correct 785 ms 518904 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 296288 KB Output is correct
2 Correct 54 ms 296304 KB Output is correct
3 Correct 40 ms 296528 KB Output is correct
4 Correct 50 ms 296540 KB Output is correct
5 Correct 44 ms 296408 KB Output is correct
6 Correct 47 ms 296532 KB Output is correct
7 Correct 48 ms 296540 KB Output is correct
8 Correct 41 ms 296536 KB Output is correct
9 Correct 40 ms 296540 KB Output is correct
10 Correct 46 ms 296528 KB Output is correct
11 Correct 59 ms 296532 KB Output is correct
12 Correct 41 ms 296532 KB Output is correct
13 Correct 42 ms 296272 KB Output is correct
14 Correct 74 ms 296468 KB Output is correct
15 Correct 70 ms 296272 KB Output is correct
16 Correct 52 ms 296452 KB Output is correct
17 Correct 57 ms 296928 KB Output is correct
18 Correct 49 ms 296932 KB Output is correct
19 Correct 46 ms 297012 KB Output is correct
20 Correct 49 ms 296980 KB Output is correct
21 Correct 56 ms 297080 KB Output is correct
22 Correct 76 ms 297300 KB Output is correct
23 Correct 79 ms 297300 KB Output is correct
24 Correct 51 ms 296788 KB Output is correct
25 Correct 87 ms 299064 KB Output is correct
26 Correct 64 ms 299092 KB Output is correct
27 Correct 65 ms 299112 KB Output is correct
28 Correct 72 ms 300116 KB Output is correct
29 Correct 98 ms 301520 KB Output is correct
30 Correct 109 ms 301396 KB Output is correct
31 Correct 111 ms 301104 KB Output is correct
32 Correct 106 ms 300916 KB Output is correct
33 Correct 205 ms 332992 KB Output is correct
34 Correct 184 ms 335784 KB Output is correct
35 Correct 209 ms 335820 KB Output is correct
36 Correct 235 ms 338792 KB Output is correct
37 Correct 185 ms 332624 KB Output is correct
38 Correct 300 ms 332612 KB Output is correct
39 Correct 202 ms 332628 KB Output is correct
40 Correct 262 ms 330840 KB Output is correct
41 Correct 280 ms 334168 KB Output is correct
42 Correct 291 ms 338900 KB Output is correct
43 Correct 540 ms 360492 KB Output is correct
44 Correct 641 ms 360948 KB Output is correct
45 Correct 304 ms 328824 KB Output is correct
46 Correct 340 ms 328732 KB Output is correct
47 Correct 486 ms 354128 KB Output is correct
48 Correct 440 ms 354516 KB Output is correct
49 Correct 84 ms 296784 KB Output is correct
50 Correct 80 ms 296688 KB Output is correct
51 Correct 89 ms 296720 KB Output is correct
52 Correct 54 ms 296276 KB Output is correct
53 Correct 66 ms 297044 KB Output is correct
54 Correct 47 ms 297044 KB Output is correct
55 Correct 99 ms 297040 KB Output is correct
56 Correct 73 ms 296844 KB Output is correct
57 Correct 47 ms 297048 KB Output is correct
58 Correct 98 ms 296528 KB Output is correct
59 Correct 81 ms 296640 KB Output is correct
60 Correct 45 ms 296396 KB Output is correct
61 Correct 1374 ms 510220 KB Output is correct
62 Correct 3023 ms 749632 KB Output is correct
63 Correct 3111 ms 751908 KB Output is correct
64 Correct 2945 ms 758504 KB Output is correct
65 Correct 444 ms 411332 KB Output is correct
66 Correct 747 ms 505584 KB Output is correct
67 Correct 785 ms 518904 KB Output is correct
68 Correct 60 ms 296352 KB Output is correct
69 Correct 58 ms 296404 KB Output is correct
70 Correct 51 ms 296532 KB Output is correct
71 Correct 65 ms 296276 KB Output is correct
72 Correct 42 ms 296280 KB Output is correct
73 Correct 2120 ms 729540 KB Output is correct
74 Correct 2102 ms 801304 KB Output is correct
75 Correct 2467 ms 797008 KB Output is correct
76 Correct 2375 ms 850448 KB Output is correct
77 Correct 2747 ms 748804 KB Output is correct
78 Correct 3748 ms 775132 KB Output is correct
79 Correct 4032 ms 811380 KB Output is correct
80 Runtime error 4011 ms 1048576 KB Execution killed with signal 9
81 Halted 0 ms 0 KB -