Submission #1047541

# Submission time Handle Problem Language Result Execution time Memory
1047541 2024-08-07T13:56:51 Z fuad27 Rectangles (IOI19_rect) C++17
72 / 100
3905 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];


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].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++) {
			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[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<n;i++) {
//		gdr[i].clear();
//	}
	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;
			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:137:8: warning: unused variable 'tmp' [-Wunused-variable]
  137 |    int tmp=0;
      |        ^~~
rect.cpp:98:10: warning: 'seg.Side::c1' may be used uninitialized in this function [-Wmaybe-uninitialized]
   98 |    seg.c1--;
      |    ~~~~~~^~
# Verdict Execution time Memory Grader output
1 Correct 39 ms 296284 KB Output is correct
2 Correct 41 ms 296272 KB Output is correct
3 Correct 41 ms 296280 KB Output is correct
4 Correct 39 ms 296276 KB Output is correct
5 Correct 39 ms 296280 KB Output is correct
6 Correct 40 ms 296296 KB Output is correct
7 Correct 39 ms 296272 KB Output is correct
8 Correct 40 ms 296280 KB Output is correct
9 Correct 40 ms 296536 KB Output is correct
10 Correct 41 ms 296532 KB Output is correct
11 Correct 40 ms 296288 KB Output is correct
12 Correct 40 ms 296272 KB Output is correct
13 Correct 44 ms 296280 KB Output is correct
14 Correct 41 ms 296276 KB Output is correct
15 Correct 42 ms 296284 KB Output is correct
16 Correct 39 ms 296284 KB Output is correct
17 Correct 45 ms 296416 KB Output is correct
18 Correct 40 ms 296408 KB Output is correct
19 Correct 41 ms 296268 KB Output is correct
20 Correct 40 ms 296284 KB Output is correct
21 Correct 40 ms 296420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 296284 KB Output is correct
2 Correct 41 ms 296272 KB Output is correct
3 Correct 41 ms 296280 KB Output is correct
4 Correct 39 ms 296276 KB Output is correct
5 Correct 39 ms 296280 KB Output is correct
6 Correct 40 ms 296296 KB Output is correct
7 Correct 39 ms 296272 KB Output is correct
8 Correct 40 ms 296280 KB Output is correct
9 Correct 40 ms 296536 KB Output is correct
10 Correct 41 ms 296532 KB Output is correct
11 Correct 40 ms 296288 KB Output is correct
12 Correct 40 ms 296272 KB Output is correct
13 Correct 44 ms 296280 KB Output is correct
14 Correct 41 ms 296276 KB Output is correct
15 Correct 42 ms 296284 KB Output is correct
16 Correct 39 ms 296284 KB Output is correct
17 Correct 45 ms 296416 KB Output is correct
18 Correct 40 ms 296408 KB Output is correct
19 Correct 41 ms 296268 KB Output is correct
20 Correct 40 ms 296284 KB Output is correct
21 Correct 40 ms 296420 KB Output is correct
22 Correct 40 ms 296788 KB Output is correct
23 Correct 43 ms 296752 KB Output is correct
24 Correct 41 ms 296788 KB Output is correct
25 Correct 44 ms 296784 KB Output is correct
26 Correct 44 ms 297040 KB Output is correct
27 Correct 45 ms 297048 KB Output is correct
28 Correct 44 ms 297048 KB Output is correct
29 Correct 43 ms 296784 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 296284 KB Output is correct
2 Correct 41 ms 296272 KB Output is correct
3 Correct 41 ms 296280 KB Output is correct
4 Correct 39 ms 296276 KB Output is correct
5 Correct 39 ms 296280 KB Output is correct
6 Correct 40 ms 296296 KB Output is correct
7 Correct 39 ms 296272 KB Output is correct
8 Correct 40 ms 296280 KB Output is correct
9 Correct 40 ms 296536 KB Output is correct
10 Correct 41 ms 296532 KB Output is correct
11 Correct 40 ms 296288 KB Output is correct
12 Correct 40 ms 296272 KB Output is correct
13 Correct 44 ms 296280 KB Output is correct
14 Correct 41 ms 296276 KB Output is correct
15 Correct 42 ms 296284 KB Output is correct
16 Correct 39 ms 296284 KB Output is correct
17 Correct 40 ms 296788 KB Output is correct
18 Correct 43 ms 296752 KB Output is correct
19 Correct 41 ms 296788 KB Output is correct
20 Correct 44 ms 296784 KB Output is correct
21 Correct 44 ms 297040 KB Output is correct
22 Correct 45 ms 297048 KB Output is correct
23 Correct 44 ms 297048 KB Output is correct
24 Correct 43 ms 296784 KB Output is correct
25 Correct 45 ms 296416 KB Output is correct
26 Correct 40 ms 296408 KB Output is correct
27 Correct 41 ms 296268 KB Output is correct
28 Correct 40 ms 296284 KB Output is correct
29 Correct 40 ms 296420 KB Output is correct
30 Correct 50 ms 299120 KB Output is correct
31 Correct 48 ms 299008 KB Output is correct
32 Correct 49 ms 299088 KB Output is correct
33 Correct 56 ms 300116 KB Output is correct
34 Correct 70 ms 301392 KB Output is correct
35 Correct 70 ms 301432 KB Output is correct
36 Correct 75 ms 301080 KB Output is correct
37 Correct 70 ms 300880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 296284 KB Output is correct
2 Correct 41 ms 296272 KB Output is correct
3 Correct 41 ms 296280 KB Output is correct
4 Correct 39 ms 296276 KB Output is correct
5 Correct 39 ms 296280 KB Output is correct
6 Correct 40 ms 296296 KB Output is correct
7 Correct 39 ms 296272 KB Output is correct
8 Correct 40 ms 296280 KB Output is correct
9 Correct 40 ms 296536 KB Output is correct
10 Correct 41 ms 296532 KB Output is correct
11 Correct 40 ms 296288 KB Output is correct
12 Correct 40 ms 296272 KB Output is correct
13 Correct 44 ms 296280 KB Output is correct
14 Correct 41 ms 296276 KB Output is correct
15 Correct 42 ms 296284 KB Output is correct
16 Correct 39 ms 296284 KB Output is correct
17 Correct 40 ms 296788 KB Output is correct
18 Correct 43 ms 296752 KB Output is correct
19 Correct 41 ms 296788 KB Output is correct
20 Correct 44 ms 296784 KB Output is correct
21 Correct 44 ms 297040 KB Output is correct
22 Correct 45 ms 297048 KB Output is correct
23 Correct 44 ms 297048 KB Output is correct
24 Correct 43 ms 296784 KB Output is correct
25 Correct 50 ms 299120 KB Output is correct
26 Correct 48 ms 299008 KB Output is correct
27 Correct 49 ms 299088 KB Output is correct
28 Correct 56 ms 300116 KB Output is correct
29 Correct 70 ms 301392 KB Output is correct
30 Correct 70 ms 301432 KB Output is correct
31 Correct 75 ms 301080 KB Output is correct
32 Correct 70 ms 300880 KB Output is correct
33 Correct 45 ms 296416 KB Output is correct
34 Correct 40 ms 296408 KB Output is correct
35 Correct 41 ms 296268 KB Output is correct
36 Correct 40 ms 296284 KB Output is correct
37 Correct 40 ms 296420 KB Output is correct
38 Correct 203 ms 332880 KB Output is correct
39 Correct 168 ms 335620 KB Output is correct
40 Correct 193 ms 335708 KB Output is correct
41 Correct 173 ms 338516 KB Output is correct
42 Correct 167 ms 332492 KB Output is correct
43 Correct 169 ms 332564 KB Output is correct
44 Correct 166 ms 332624 KB Output is correct
45 Correct 154 ms 330576 KB Output is correct
46 Correct 246 ms 333896 KB Output is correct
47 Correct 285 ms 338768 KB Output is correct
48 Correct 481 ms 360308 KB Output is correct
49 Correct 476 ms 360784 KB Output is correct
50 Correct 269 ms 328708 KB Output is correct
51 Correct 262 ms 328640 KB Output is correct
52 Correct 437 ms 354240 KB Output is correct
53 Correct 452 ms 354388 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 47 ms 296716 KB Output is correct
2 Correct 42 ms 296792 KB Output is correct
3 Correct 43 ms 296540 KB Output is correct
4 Correct 41 ms 296280 KB Output is correct
5 Correct 45 ms 297048 KB Output is correct
6 Correct 49 ms 296788 KB Output is correct
7 Correct 46 ms 296840 KB Output is correct
8 Correct 42 ms 296944 KB Output is correct
9 Correct 56 ms 296876 KB Output is correct
10 Correct 41 ms 296528 KB Output is correct
11 Correct 42 ms 296572 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 296416 KB Output is correct
2 Correct 40 ms 296408 KB Output is correct
3 Correct 41 ms 296268 KB Output is correct
4 Correct 40 ms 296284 KB Output is correct
5 Correct 40 ms 296420 KB Output is correct
6 Correct 40 ms 296196 KB Output is correct
7 Correct 1278 ms 510072 KB Output is correct
8 Correct 2738 ms 749652 KB Output is correct
9 Correct 2754 ms 751680 KB Output is correct
10 Correct 2803 ms 751952 KB Output is correct
11 Correct 340 ms 408144 KB Output is correct
12 Correct 692 ms 499532 KB Output is correct
13 Correct 682 ms 512596 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 39 ms 296284 KB Output is correct
2 Correct 41 ms 296272 KB Output is correct
3 Correct 41 ms 296280 KB Output is correct
4 Correct 39 ms 296276 KB Output is correct
5 Correct 39 ms 296280 KB Output is correct
6 Correct 40 ms 296296 KB Output is correct
7 Correct 39 ms 296272 KB Output is correct
8 Correct 40 ms 296280 KB Output is correct
9 Correct 40 ms 296536 KB Output is correct
10 Correct 41 ms 296532 KB Output is correct
11 Correct 40 ms 296288 KB Output is correct
12 Correct 40 ms 296272 KB Output is correct
13 Correct 44 ms 296280 KB Output is correct
14 Correct 41 ms 296276 KB Output is correct
15 Correct 42 ms 296284 KB Output is correct
16 Correct 39 ms 296284 KB Output is correct
17 Correct 40 ms 296788 KB Output is correct
18 Correct 43 ms 296752 KB Output is correct
19 Correct 41 ms 296788 KB Output is correct
20 Correct 44 ms 296784 KB Output is correct
21 Correct 44 ms 297040 KB Output is correct
22 Correct 45 ms 297048 KB Output is correct
23 Correct 44 ms 297048 KB Output is correct
24 Correct 43 ms 296784 KB Output is correct
25 Correct 50 ms 299120 KB Output is correct
26 Correct 48 ms 299008 KB Output is correct
27 Correct 49 ms 299088 KB Output is correct
28 Correct 56 ms 300116 KB Output is correct
29 Correct 70 ms 301392 KB Output is correct
30 Correct 70 ms 301432 KB Output is correct
31 Correct 75 ms 301080 KB Output is correct
32 Correct 70 ms 300880 KB Output is correct
33 Correct 203 ms 332880 KB Output is correct
34 Correct 168 ms 335620 KB Output is correct
35 Correct 193 ms 335708 KB Output is correct
36 Correct 173 ms 338516 KB Output is correct
37 Correct 167 ms 332492 KB Output is correct
38 Correct 169 ms 332564 KB Output is correct
39 Correct 166 ms 332624 KB Output is correct
40 Correct 154 ms 330576 KB Output is correct
41 Correct 246 ms 333896 KB Output is correct
42 Correct 285 ms 338768 KB Output is correct
43 Correct 481 ms 360308 KB Output is correct
44 Correct 476 ms 360784 KB Output is correct
45 Correct 269 ms 328708 KB Output is correct
46 Correct 262 ms 328640 KB Output is correct
47 Correct 437 ms 354240 KB Output is correct
48 Correct 452 ms 354388 KB Output is correct
49 Correct 47 ms 296716 KB Output is correct
50 Correct 42 ms 296792 KB Output is correct
51 Correct 43 ms 296540 KB Output is correct
52 Correct 41 ms 296280 KB Output is correct
53 Correct 45 ms 297048 KB Output is correct
54 Correct 49 ms 296788 KB Output is correct
55 Correct 46 ms 296840 KB Output is correct
56 Correct 42 ms 296944 KB Output is correct
57 Correct 56 ms 296876 KB Output is correct
58 Correct 41 ms 296528 KB Output is correct
59 Correct 42 ms 296572 KB Output is correct
60 Correct 40 ms 296196 KB Output is correct
61 Correct 1278 ms 510072 KB Output is correct
62 Correct 2738 ms 749652 KB Output is correct
63 Correct 2754 ms 751680 KB Output is correct
64 Correct 2803 ms 751952 KB Output is correct
65 Correct 340 ms 408144 KB Output is correct
66 Correct 692 ms 499532 KB Output is correct
67 Correct 682 ms 512596 KB Output is correct
68 Correct 45 ms 296416 KB Output is correct
69 Correct 40 ms 296408 KB Output is correct
70 Correct 41 ms 296268 KB Output is correct
71 Correct 40 ms 296284 KB Output is correct
72 Correct 40 ms 296420 KB Output is correct
73 Correct 2062 ms 706016 KB Output is correct
74 Correct 1979 ms 754400 KB Output is correct
75 Correct 2411 ms 754264 KB Output is correct
76 Correct 2077 ms 803616 KB Output is correct
77 Correct 2552 ms 700760 KB Output is correct
78 Correct 3616 ms 761548 KB Output is correct
79 Correct 3792 ms 789044 KB Output is correct
80 Runtime error 3905 ms 1048576 KB Execution killed with signal 9
81 Halted 0 ms 0 KB -