oj.uz

Submission #702370

# Submission time Handle Problem Language Result Execution time Memory
702370 2023-02-23T17:25:23 Z onjo0127 Rectangles (IOI19_rect) C++17
100 / 100
 3128 ms 1048576 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
using pii = pair<int, int>;
const int _N = 2501;

int A[_N][_N], L[_N][_N], R[_N][_N], U[_N][_N], D[_N][_N], IU[_N][_N], IL[_N][_N];
vector<pii> IR[_N][_N], ID[_N][_N];

long long count_rectangles(vector<vector<int>> a) {
	int N = a.size(), M = a[0].size();
	for(int i=1; i<=N; i++) for(int j=1; j<=M; j++) A[i][j] = a[i-1][j-1];
	vector<int> S;
	for(int i=1; i<=N; i++) {
		S = {1};
		for(int j=2; j<=M; j++) {
			while(S.size() && A[i][S.back()] < A[i][j]) {
				R[i][S.back()] = j;
				S.pop_back();
			}
			S.push_back(j);
		}
		while(S.size()) {
			R[i][S.back()] = M+1;
			S.pop_back();
		}
		S = {M};
		for(int j=M-1; j>=1; j--) {
			while(S.size() && A[i][S.back()] <= A[i][j]) {
				L[i][S.back()] = j;
				S.pop_back();
			}
			S.push_back(j);
		}
	}
	for(int j=1; j<=M; j++) {
		S = {1};
		for(int i=2; i<=N; i++) {
			while(S.size() && A[S.back()][j] < A[i][j]) {
				D[S.back()][j] = i;
				S.pop_back();
			}
			S.push_back(i);
		}
		while(S.size()) {
			D[S.back()][j] = N+1;
			S.pop_back();
		}
		S = {N};
		for(int i=N-1; i>=1; i--) {
			while(S.size() && A[S.back()][j] <= A[i][j]) {
				U[S.back()][j] = i;
				S.pop_back();
			}
			S.push_back(i);
		}
	}
	auto fnd = [&](vector<pii> &S, int v) {
		int p = lower_bound(S.begin(), S.end(), make_pair(v, 0)) - S.begin();
		if(p < S.size() && S[p].first == v) return S[p].second;
		return 0;
	};
	for(int i=1; i<=N; i++) for(int j=1; j<=M; j++) {
		if(1 <= L[i][j] && R[i][j] <= M && A[i][L[i][j]] > A[i][j]) {
			IU[i][j] = i;
			int v = fnd(IR[i-1][L[i][j]], R[i][j]);
			if(v) IU[i][j] = v;
			IR[i][L[i][j]].push_back({R[i][j], IU[i][j]});
		}
	}
	for(int j=1; j<=M; j++) for(int i=1; i<=N; i++) {
		if(1 <= U[i][j] && D[i][j] <= N && A[U[i][j]][j] > A[i][j]) {
			IL[i][j] = j;
			int v = fnd(ID[U[i][j]][j-1], D[i][j]);
			if(v) IL[i][j] = v;
			ID[U[i][j]][j].push_back({D[i][j], IL[i][j]});
		}
	}
	vector<tuple<int, int, int, int>> V;
	for(int i=2; i<N; i++) {
		for(int j=2; j<M; j++) {
			if(IU[i][j] && IL[i][j]) {
				int vu = fnd(IR[D[i][j] - 1][L[i][j]], R[i][j]), vl = fnd(ID[U[i][j]][R[i][j] - 1], D[i][j]);
				if(vu && vu <= U[i][j] + 1 && vl && vl <= L[i][j] + 1) V.push_back({L[i][j], R[i][j], U[i][j], D[i][j]});
			}
		}
	}
	sort(V.begin(), V.end());
	return unique(V.begin(), V.end()) - V.begin();
}

Compilation message

rect.cpp: In lambda function:
rect.cpp:60:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   60 |   if(p < S.size() && S[p].first == v) return S[p].second;
      |      ~~^~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 294224 KB Output is correct
2 Correct 131 ms 294964 KB Output is correct
3 Correct 141 ms 294988 KB Output is correct
4 Correct 137 ms 294988 KB Output is correct
5 Correct 144 ms 294756 KB Output is correct
6 Correct 135 ms 294996 KB Output is correct
7 Correct 143 ms 294956 KB Output is correct
8 Correct 136 ms 294384 KB Output is correct
9 Correct 137 ms 294936 KB Output is correct
10 Correct 141 ms 294988 KB Output is correct
11 Correct 162 ms 294908 KB Output is correct
12 Correct 133 ms 294860 KB Output is correct
13 Correct 133 ms 294032 KB Output is correct
14 Correct 129 ms 294208 KB Output is correct
15 Correct 137 ms 294220 KB Output is correct
16 Correct 135 ms 294060 KB Output is correct
17 Correct 134 ms 294028 KB Output is correct
18 Correct 131 ms 294076 KB Output is correct
19 Correct 137 ms 294960 KB Output is correct
20 Correct 136 ms 294688 KB Output is correct
21 Correct 131 ms 294208 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 294224 KB Output is correct
2 Correct 131 ms 294964 KB Output is correct
3 Correct 141 ms 294988 KB Output is correct
4 Correct 137 ms 294988 KB Output is correct
5 Correct 144 ms 294756 KB Output is correct
6 Correct 135 ms 294996 KB Output is correct
7 Correct 143 ms 294956 KB Output is correct
8 Correct 136 ms 294384 KB Output is correct
9 Correct 137 ms 294936 KB Output is correct
10 Correct 141 ms 294988 KB Output is correct
11 Correct 162 ms 294908 KB Output is correct
12 Correct 133 ms 294860 KB Output is correct
13 Correct 133 ms 294032 KB Output is correct
14 Correct 129 ms 294208 KB Output is correct
15 Correct 137 ms 294220 KB Output is correct
16 Correct 135 ms 294060 KB Output is correct
17 Correct 134 ms 294028 KB Output is correct
18 Correct 131 ms 294076 KB Output is correct
19 Correct 137 ms 294960 KB Output is correct
20 Correct 136 ms 294688 KB Output is correct
21 Correct 131 ms 294208 KB Output is correct
22 Correct 139 ms 297092 KB Output is correct
23 Correct 135 ms 297228 KB Output is correct
24 Correct 133 ms 297164 KB Output is correct
25 Correct 143 ms 296652 KB Output is correct
26 Correct 140 ms 296780 KB Output is correct
27 Correct 134 ms 296876 KB Output is correct
28 Correct 138 ms 296784 KB Output is correct
29 Correct 134 ms 296608 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 294224 KB Output is correct
2 Correct 131 ms 294964 KB Output is correct
3 Correct 141 ms 294988 KB Output is correct
4 Correct 137 ms 294988 KB Output is correct
5 Correct 144 ms 294756 KB Output is correct
6 Correct 135 ms 294996 KB Output is correct
7 Correct 143 ms 294956 KB Output is correct
8 Correct 136 ms 294384 KB Output is correct
9 Correct 137 ms 294936 KB Output is correct
10 Correct 141 ms 294988 KB Output is correct
11 Correct 162 ms 294908 KB Output is correct
12 Correct 133 ms 294860 KB Output is correct
13 Correct 133 ms 294032 KB Output is correct
14 Correct 129 ms 294208 KB Output is correct
15 Correct 137 ms 294220 KB Output is correct
16 Correct 135 ms 294060 KB Output is correct
17 Correct 139 ms 297092 KB Output is correct
18 Correct 135 ms 297228 KB Output is correct
19 Correct 133 ms 297164 KB Output is correct
20 Correct 143 ms 296652 KB Output is correct
21 Correct 140 ms 296780 KB Output is correct
22 Correct 134 ms 296876 KB Output is correct
23 Correct 138 ms 296784 KB Output is correct
24 Correct 134 ms 296608 KB Output is correct
25 Correct 134 ms 294028 KB Output is correct
26 Correct 131 ms 294076 KB Output is correct
27 Correct 137 ms 294960 KB Output is correct
28 Correct 136 ms 294688 KB Output is correct
29 Correct 131 ms 294208 KB Output is correct
30 Correct 157 ms 304840 KB Output is correct
31 Correct 161 ms 304956 KB Output is correct
32 Correct 159 ms 304968 KB Output is correct
33 Correct 161 ms 302052 KB Output is correct
34 Correct 148 ms 302960 KB Output is correct
35 Correct 157 ms 303204 KB Output is correct
36 Correct 148 ms 303056 KB Output is correct
37 Correct 152 ms 302956 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 294224 KB Output is correct
2 Correct 131 ms 294964 KB Output is correct
3 Correct 141 ms 294988 KB Output is correct
4 Correct 137 ms 294988 KB Output is correct
5 Correct 144 ms 294756 KB Output is correct
6 Correct 135 ms 294996 KB Output is correct
7 Correct 143 ms 294956 KB Output is correct
8 Correct 136 ms 294384 KB Output is correct
9 Correct 137 ms 294936 KB Output is correct
10 Correct 141 ms 294988 KB Output is correct
11 Correct 162 ms 294908 KB Output is correct
12 Correct 133 ms 294860 KB Output is correct
13 Correct 133 ms 294032 KB Output is correct
14 Correct 129 ms 294208 KB Output is correct
15 Correct 137 ms 294220 KB Output is correct
16 Correct 135 ms 294060 KB Output is correct
17 Correct 139 ms 297092 KB Output is correct
18 Correct 135 ms 297228 KB Output is correct
19 Correct 133 ms 297164 KB Output is correct
20 Correct 143 ms 296652 KB Output is correct
21 Correct 140 ms 296780 KB Output is correct
22 Correct 134 ms 296876 KB Output is correct
23 Correct 138 ms 296784 KB Output is correct
24 Correct 134 ms 296608 KB Output is correct
25 Correct 157 ms 304840 KB Output is correct
26 Correct 161 ms 304956 KB Output is correct
27 Correct 159 ms 304968 KB Output is correct
28 Correct 161 ms 302052 KB Output is correct
29 Correct 148 ms 302960 KB Output is correct
30 Correct 157 ms 303204 KB Output is correct
31 Correct 148 ms 303056 KB Output is correct
32 Correct 152 ms 302956 KB Output is correct
33 Correct 134 ms 294028 KB Output is correct
34 Correct 131 ms 294076 KB Output is correct
35 Correct 137 ms 294960 KB Output is correct
36 Correct 136 ms 294688 KB Output is correct
37 Correct 131 ms 294208 KB Output is correct
38 Correct 229 ms 345544 KB Output is correct
39 Correct 215 ms 341760 KB Output is correct
40 Correct 203 ms 341716 KB Output is correct
41 Correct 188 ms 338024 KB Output is correct
42 Correct 311 ms 373160 KB Output is correct
43 Correct 306 ms 373120 KB Output is correct
44 Correct 322 ms 373392 KB Output is correct
45 Correct 298 ms 368952 KB Output is correct
46 Correct 227 ms 340256 KB Output is correct
47 Correct 237 ms 343300 KB Output is correct
48 Correct 331 ms 354976 KB Output is correct
49 Correct 347 ms 357104 KB Output is correct
50 Correct 237 ms 335472 KB Output is correct
51 Correct 239 ms 325684 KB Output is correct
52 Correct 324 ms 354572 KB Output is correct
53 Correct 345 ms 355560 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 134 ms 294768 KB Output is correct
2 Correct 136 ms 294668 KB Output is correct
3 Correct 139 ms 294248 KB Output is correct
4 Correct 134 ms 294108 KB Output is correct
5 Correct 151 ms 294576 KB Output is correct
6 Correct 150 ms 294576 KB Output is correct
7 Correct 154 ms 294508 KB Output is correct
8 Correct 141 ms 294564 KB Output is correct
9 Correct 158 ms 294472 KB Output is correct
10 Correct 133 ms 294224 KB Output is correct
11 Correct 147 ms 294296 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 134 ms 294028 KB Output is correct
2 Correct 131 ms 294076 KB Output is correct
3 Correct 137 ms 294960 KB Output is correct
4 Correct 136 ms 294688 KB Output is correct
5 Correct 131 ms 294208 KB Output is correct
6 Correct 136 ms 294308 KB Output is correct
7 Correct 636 ms 449324 KB Output is correct
8 Correct 1296 ms 616116 KB Output is correct
9 Correct 1241 ms 617484 KB Output is correct
10 Correct 1295 ms 617460 KB Output is correct
11 Correct 379 ms 379332 KB Output is correct
12 Correct 556 ms 463064 KB Output is correct
13 Correct 586 ms 466132 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 294224 KB Output is correct
2 Correct 131 ms 294964 KB Output is correct
3 Correct 141 ms 294988 KB Output is correct
4 Correct 137 ms 294988 KB Output is correct
5 Correct 144 ms 294756 KB Output is correct
6 Correct 135 ms 294996 KB Output is correct
7 Correct 143 ms 294956 KB Output is correct
8 Correct 136 ms 294384 KB Output is correct
9 Correct 137 ms 294936 KB Output is correct
10 Correct 141 ms 294988 KB Output is correct
11 Correct 162 ms 294908 KB Output is correct
12 Correct 133 ms 294860 KB Output is correct
13 Correct 133 ms 294032 KB Output is correct
14 Correct 129 ms 294208 KB Output is correct
15 Correct 137 ms 294220 KB Output is correct
16 Correct 135 ms 294060 KB Output is correct
17 Correct 139 ms 297092 KB Output is correct
18 Correct 135 ms 297228 KB Output is correct
19 Correct 133 ms 297164 KB Output is correct
20 Correct 143 ms 296652 KB Output is correct
21 Correct 140 ms 296780 KB Output is correct
22 Correct 134 ms 296876 KB Output is correct
23 Correct 138 ms 296784 KB Output is correct
24 Correct 134 ms 296608 KB Output is correct
25 Correct 157 ms 304840 KB Output is correct
26 Correct 161 ms 304956 KB Output is correct
27 Correct 159 ms 304968 KB Output is correct
28 Correct 161 ms 302052 KB Output is correct
29 Correct 148 ms 302960 KB Output is correct
30 Correct 157 ms 303204 KB Output is correct
31 Correct 148 ms 303056 KB Output is correct
32 Correct 152 ms 302956 KB Output is correct
33 Correct 229 ms 345544 KB Output is correct
34 Correct 215 ms 341760 KB Output is correct
35 Correct 203 ms 341716 KB Output is correct
36 Correct 188 ms 338024 KB Output is correct
37 Correct 311 ms 373160 KB Output is correct
38 Correct 306 ms 373120 KB Output is correct
39 Correct 322 ms 373392 KB Output is correct
40 Correct 298 ms 368952 KB Output is correct
41 Correct 227 ms 340256 KB Output is correct
42 Correct 237 ms 343300 KB Output is correct
43 Correct 331 ms 354976 KB Output is correct
44 Correct 347 ms 357104 KB Output is correct
45 Correct 237 ms 335472 KB Output is correct
46 Correct 239 ms 325684 KB Output is correct
47 Correct 324 ms 354572 KB Output is correct
48 Correct 345 ms 355560 KB Output is correct
49 Correct 134 ms 294768 KB Output is correct
50 Correct 136 ms 294668 KB Output is correct
51 Correct 139 ms 294248 KB Output is correct
52 Correct 134 ms 294108 KB Output is correct
53 Correct 151 ms 294576 KB Output is correct
54 Correct 150 ms 294576 KB Output is correct
55 Correct 154 ms 294508 KB Output is correct
56 Correct 141 ms 294564 KB Output is correct
57 Correct 158 ms 294472 KB Output is correct
58 Correct 133 ms 294224 KB Output is correct
59 Correct 147 ms 294296 KB Output is correct
60 Correct 136 ms 294308 KB Output is correct
61 Correct 636 ms 449324 KB Output is correct
62 Correct 1296 ms 616116 KB Output is correct
63 Correct 1241 ms 617484 KB Output is correct
64 Correct 1295 ms 617460 KB Output is correct
65 Correct 379 ms 379332 KB Output is correct
66 Correct 556 ms 463064 KB Output is correct
67 Correct 586 ms 466132 KB Output is correct
68 Correct 134 ms 294028 KB Output is correct
69 Correct 131 ms 294076 KB Output is correct
70 Correct 137 ms 294960 KB Output is correct
71 Correct 136 ms 294688 KB Output is correct
72 Correct 131 ms 294208 KB Output is correct
73 Correct 1306 ms 702792 KB Output is correct
74 Correct 1387 ms 639968 KB Output is correct
75 Correct 938 ms 639912 KB Output is correct
76 Correct 856 ms 577052 KB Output is correct
77 Correct 2917 ms 1048576 KB Output is correct
78 Correct 1649 ms 611420 KB Output is correct
79 Correct 1788 ms 698292 KB Output is correct
80 Correct 2710 ms 833928 KB Output is correct
81 Correct 1786 ms 627648 KB Output is correct
82 Correct 2360 ms 762312 KB Output is correct
83 Correct 2908 ms 861408 KB Output is correct
84 Correct 1630 ms 609572 KB Output is correct
85 Correct 2719 ms 845048 KB Output is correct
86 Correct 2645 ms 830344 KB Output is correct
87 Correct 1807 ms 823464 KB Output is correct
88 Correct 3128 ms 1048576 KB Output is correct
89 Correct 2882 ms 1048576 KB Output is correct
90 Correct 2965 ms 1048576 KB Output is correct