oj.uz

Submission #1047499

# Submission time Handle Problem Language Result Execution time Memory
1047499 2024-08-07T13:40:22 Z fuad27 Rectangles (IOI19_rect) C++17
72 / 100
 5000 ms 963924 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<short,short>> hsides[N][N];
vector<pair<short,short>> 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;
}
			

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;
			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:134:8: warning: unused variable 'tmp' [-Wunused-variable]
  134 |    int tmp=0;
      |        ^~~
rect.cpp:98:10: warning: 'seg.Side::c1' may be used uninitialized in this function [-Wmaybe-uninitialized]
   98 |    seg.c1--;
      |    ~~~~~~^~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 296344 KB Output is correct
2 Correct 41 ms 296276 KB Output is correct
3 Correct 41 ms 296488 KB Output is correct
4 Correct 44 ms 296284 KB Output is correct
5 Correct 42 ms 296280 KB Output is correct
6 Correct 44 ms 296540 KB Output is correct
7 Correct 43 ms 296424 KB Output is correct
8 Correct 45 ms 296284 KB Output is correct
9 Correct 42 ms 296540 KB Output is correct
10 Correct 44 ms 296648 KB Output is correct
11 Correct 43 ms 296464 KB Output is correct
12 Correct 42 ms 296312 KB Output is correct
13 Correct 44 ms 296276 KB Output is correct
14 Correct 43 ms 296212 KB Output is correct
15 Correct 43 ms 296312 KB Output is correct
16 Correct 54 ms 296272 KB Output is correct
17 Correct 42 ms 296260 KB Output is correct
18 Correct 45 ms 296284 KB Output is correct
19 Correct 41 ms 296264 KB Output is correct
20 Correct 42 ms 296284 KB Output is correct
21 Correct 46 ms 296180 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 296344 KB Output is correct
2 Correct 41 ms 296276 KB Output is correct
3 Correct 41 ms 296488 KB Output is correct
4 Correct 44 ms 296284 KB Output is correct
5 Correct 42 ms 296280 KB Output is correct
6 Correct 44 ms 296540 KB Output is correct
7 Correct 43 ms 296424 KB Output is correct
8 Correct 45 ms 296284 KB Output is correct
9 Correct 42 ms 296540 KB Output is correct
10 Correct 44 ms 296648 KB Output is correct
11 Correct 43 ms 296464 KB Output is correct
12 Correct 42 ms 296312 KB Output is correct
13 Correct 44 ms 296276 KB Output is correct
14 Correct 43 ms 296212 KB Output is correct
15 Correct 43 ms 296312 KB Output is correct
16 Correct 54 ms 296272 KB Output is correct
17 Correct 42 ms 296260 KB Output is correct
18 Correct 45 ms 296284 KB Output is correct
19 Correct 41 ms 296264 KB Output is correct
20 Correct 42 ms 296284 KB Output is correct
21 Correct 46 ms 296180 KB Output is correct
22 Correct 46 ms 296788 KB Output is correct
23 Correct 46 ms 296728 KB Output is correct
24 Correct 48 ms 296768 KB Output is correct
25 Correct 48 ms 296856 KB Output is correct
26 Correct 47 ms 297100 KB Output is correct
27 Correct 45 ms 297116 KB Output is correct
28 Correct 47 ms 297044 KB Output is correct
29 Correct 47 ms 296780 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 296344 KB Output is correct
2 Correct 41 ms 296276 KB Output is correct
3 Correct 41 ms 296488 KB Output is correct
4 Correct 44 ms 296284 KB Output is correct
5 Correct 42 ms 296280 KB Output is correct
6 Correct 44 ms 296540 KB Output is correct
7 Correct 43 ms 296424 KB Output is correct
8 Correct 45 ms 296284 KB Output is correct
9 Correct 42 ms 296540 KB Output is correct
10 Correct 44 ms 296648 KB Output is correct
11 Correct 43 ms 296464 KB Output is correct
12 Correct 42 ms 296312 KB Output is correct
13 Correct 44 ms 296276 KB Output is correct
14 Correct 43 ms 296212 KB Output is correct
15 Correct 43 ms 296312 KB Output is correct
16 Correct 54 ms 296272 KB Output is correct
17 Correct 46 ms 296788 KB Output is correct
18 Correct 46 ms 296728 KB Output is correct
19 Correct 48 ms 296768 KB Output is correct
20 Correct 48 ms 296856 KB Output is correct
21 Correct 47 ms 297100 KB Output is correct
22 Correct 45 ms 297116 KB Output is correct
23 Correct 47 ms 297044 KB Output is correct
24 Correct 47 ms 296780 KB Output is correct
25 Correct 42 ms 296260 KB Output is correct
26 Correct 45 ms 296284 KB Output is correct
27 Correct 41 ms 296264 KB Output is correct
28 Correct 42 ms 296284 KB Output is correct
29 Correct 46 ms 296180 KB Output is correct
30 Correct 52 ms 298840 KB Output is correct
31 Correct 50 ms 298840 KB Output is correct
32 Correct 48 ms 298836 KB Output is correct
33 Correct 57 ms 300112 KB Output is correct
34 Correct 71 ms 300880 KB Output is correct
35 Correct 70 ms 300948 KB Output is correct
36 Correct 68 ms 300740 KB Output is correct
37 Correct 66 ms 300628 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 296344 KB Output is correct
2 Correct 41 ms 296276 KB Output is correct
3 Correct 41 ms 296488 KB Output is correct
4 Correct 44 ms 296284 KB Output is correct
5 Correct 42 ms 296280 KB Output is correct
6 Correct 44 ms 296540 KB Output is correct
7 Correct 43 ms 296424 KB Output is correct
8 Correct 45 ms 296284 KB Output is correct
9 Correct 42 ms 296540 KB Output is correct
10 Correct 44 ms 296648 KB Output is correct
11 Correct 43 ms 296464 KB Output is correct
12 Correct 42 ms 296312 KB Output is correct
13 Correct 44 ms 296276 KB Output is correct
14 Correct 43 ms 296212 KB Output is correct
15 Correct 43 ms 296312 KB Output is correct
16 Correct 54 ms 296272 KB Output is correct
17 Correct 46 ms 296788 KB Output is correct
18 Correct 46 ms 296728 KB Output is correct
19 Correct 48 ms 296768 KB Output is correct
20 Correct 48 ms 296856 KB Output is correct
21 Correct 47 ms 297100 KB Output is correct
22 Correct 45 ms 297116 KB Output is correct
23 Correct 47 ms 297044 KB Output is correct
24 Correct 47 ms 296780 KB Output is correct
25 Correct 52 ms 298840 KB Output is correct
26 Correct 50 ms 298840 KB Output is correct
27 Correct 48 ms 298836 KB Output is correct
28 Correct 57 ms 300112 KB Output is correct
29 Correct 71 ms 300880 KB Output is correct
30 Correct 70 ms 300948 KB Output is correct
31 Correct 68 ms 300740 KB Output is correct
32 Correct 66 ms 300628 KB Output is correct
33 Correct 42 ms 296260 KB Output is correct
34 Correct 45 ms 296284 KB Output is correct
35 Correct 41 ms 296264 KB Output is correct
36 Correct 42 ms 296284 KB Output is correct
37 Correct 46 ms 296180 KB Output is correct
38 Correct 171 ms 326112 KB Output is correct
39 Correct 166 ms 329324 KB Output is correct
40 Correct 175 ms 329552 KB Output is correct
41 Correct 169 ms 332884 KB Output is correct
42 Correct 159 ms 328788 KB Output is correct
43 Correct 164 ms 328784 KB Output is correct
44 Correct 162 ms 329044 KB Output is correct
45 Correct 152 ms 327244 KB Output is correct
46 Correct 224 ms 334644 KB Output is correct
47 Correct 270 ms 338484 KB Output is correct
48 Correct 448 ms 351824 KB Output is correct
49 Correct 454 ms 353108 KB Output is correct
50 Correct 240 ms 325208 KB Output is correct
51 Correct 260 ms 324944 KB Output is correct
52 Correct 410 ms 348500 KB Output is correct
53 Correct 411 ms 349084 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 297040 KB Output is correct
2 Correct 41 ms 296788 KB Output is correct
3 Correct 39 ms 296540 KB Output is correct
4 Correct 39 ms 296260 KB Output is correct
5 Correct 49 ms 296788 KB Output is correct
6 Correct 43 ms 296784 KB Output is correct
7 Correct 43 ms 296784 KB Output is correct
8 Correct 43 ms 296788 KB Output is correct
9 Correct 43 ms 296788 KB Output is correct
10 Correct 41 ms 296528 KB Output is correct
11 Correct 42 ms 296784 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 296260 KB Output is correct
2 Correct 45 ms 296284 KB Output is correct
3 Correct 41 ms 296264 KB Output is correct
4 Correct 42 ms 296284 KB Output is correct
5 Correct 46 ms 296180 KB Output is correct
6 Correct 41 ms 296460 KB Output is correct
7 Correct 1232 ms 512716 KB Output is correct
8 Correct 2675 ms 754680 KB Output is correct
9 Correct 2749 ms 750416 KB Output is correct
10 Correct 2693 ms 750804 KB Output is correct
11 Correct 339 ms 408144 KB Output is correct
12 Correct 600 ms 499536 KB Output is correct
13 Correct 655 ms 512592 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 296344 KB Output is correct
2 Correct 41 ms 296276 KB Output is correct
3 Correct 41 ms 296488 KB Output is correct
4 Correct 44 ms 296284 KB Output is correct
5 Correct 42 ms 296280 KB Output is correct
6 Correct 44 ms 296540 KB Output is correct
7 Correct 43 ms 296424 KB Output is correct
8 Correct 45 ms 296284 KB Output is correct
9 Correct 42 ms 296540 KB Output is correct
10 Correct 44 ms 296648 KB Output is correct
11 Correct 43 ms 296464 KB Output is correct
12 Correct 42 ms 296312 KB Output is correct
13 Correct 44 ms 296276 KB Output is correct
14 Correct 43 ms 296212 KB Output is correct
15 Correct 43 ms 296312 KB Output is correct
16 Correct 54 ms 296272 KB Output is correct
17 Correct 46 ms 296788 KB Output is correct
18 Correct 46 ms 296728 KB Output is correct
19 Correct 48 ms 296768 KB Output is correct
20 Correct 48 ms 296856 KB Output is correct
21 Correct 47 ms 297100 KB Output is correct
22 Correct 45 ms 297116 KB Output is correct
23 Correct 47 ms 297044 KB Output is correct
24 Correct 47 ms 296780 KB Output is correct
25 Correct 52 ms 298840 KB Output is correct
26 Correct 50 ms 298840 KB Output is correct
27 Correct 48 ms 298836 KB Output is correct
28 Correct 57 ms 300112 KB Output is correct
29 Correct 71 ms 300880 KB Output is correct
30 Correct 70 ms 300948 KB Output is correct
31 Correct 68 ms 300740 KB Output is correct
32 Correct 66 ms 300628 KB Output is correct
33 Correct 171 ms 326112 KB Output is correct
34 Correct 166 ms 329324 KB Output is correct
35 Correct 175 ms 329552 KB Output is correct
36 Correct 169 ms 332884 KB Output is correct
37 Correct 159 ms 328788 KB Output is correct
38 Correct 164 ms 328784 KB Output is correct
39 Correct 162 ms 329044 KB Output is correct
40 Correct 152 ms 327244 KB Output is correct
41 Correct 224 ms 334644 KB Output is correct
42 Correct 270 ms 338484 KB Output is correct
43 Correct 448 ms 351824 KB Output is correct
44 Correct 454 ms 353108 KB Output is correct
45 Correct 240 ms 325208 KB Output is correct
46 Correct 260 ms 324944 KB Output is correct
47 Correct 410 ms 348500 KB Output is correct
48 Correct 411 ms 349084 KB Output is correct
49 Correct 46 ms 297040 KB Output is correct
50 Correct 41 ms 296788 KB Output is correct
51 Correct 39 ms 296540 KB Output is correct
52 Correct 39 ms 296260 KB Output is correct
53 Correct 49 ms 296788 KB Output is correct
54 Correct 43 ms 296784 KB Output is correct
55 Correct 43 ms 296784 KB Output is correct
56 Correct 43 ms 296788 KB Output is correct
57 Correct 43 ms 296788 KB Output is correct
58 Correct 41 ms 296528 KB Output is correct
59 Correct 42 ms 296784 KB Output is correct
60 Correct 41 ms 296460 KB Output is correct
61 Correct 1232 ms 512716 KB Output is correct
62 Correct 2675 ms 754680 KB Output is correct
63 Correct 2749 ms 750416 KB Output is correct
64 Correct 2693 ms 750804 KB Output is correct
65 Correct 339 ms 408144 KB Output is correct
66 Correct 600 ms 499536 KB Output is correct
67 Correct 655 ms 512592 KB Output is correct
68 Correct 42 ms 296260 KB Output is correct
69 Correct 45 ms 296284 KB Output is correct
70 Correct 41 ms 296264 KB Output is correct
71 Correct 42 ms 296284 KB Output is correct
72 Correct 46 ms 296180 KB Output is correct
73 Correct 2017 ms 613852 KB Output is correct
74 Correct 1966 ms 659284 KB Output is correct
75 Correct 2300 ms 659968 KB Output is correct
76 Correct 2099 ms 706236 KB Output is correct
77 Correct 2412 ms 636080 KB Output is correct
78 Correct 3419 ms 686836 KB Output is correct
79 Correct 3547 ms 708752 KB Output is correct
80 Execution timed out 5031 ms 963924 KB Time limit exceeded
81 Halted 0 ms 0 KB -