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Submission #1048022

# Submission time Handle Problem Language Result Execution time Memory
1048022 2024-08-07T20:21:24 Z mariaclara Rectangles (IOI19_rect) C++17
100 / 100
 3398 ms 622928 KB 
#include "rect.h"
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int,int> pii;
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mk make_pair
#define pb push_back
#define fr first 
#define sc second
 
ll count_rectangles(vector<vector<int>> a) {
	int n = sz(a), m = sz(a[0]);
	// primeiro eu calculo os pares uteis
	vector<pii> line[n][m], col[n][m];

	// calculando os pares na linha
	vector<int> r(max(n,m));
	for(int i = 0; i < n; i++) {

		for(int j = 0; j < m; j++) {
			r[j] = j-1;
			// acho o primeiro cara maior ou igual (com indice menor)
			while(r[j] >= 0 and a[i][r[j]] < a[i][j]) r[j] = r[r[j]];
			if(r[j] >= 0 and r[j]+1 < j) line[i][j].pb({r[j], i});
		}

		for(int j = m-1; j >= 0; j--) {
			r[j] = j+1;
			// acho o primeiro cara maior ou igual (com indice maior)
			while(r[j] < m and a[i][r[j]] < a[i][j]) r[j] = r[r[j]];
			if(r[j] < m and j+1 < r[j] and a[i][j] != a[i][r[j]]) line[i][r[j]].pb({j, i});
		}
	}

	// calculando os pares na coluna
	for(int j = 0; j < m; j++) {

		for(int i = 0; i < n; i++) {
			r[i] = i-1;
			// acho o primeiro cara maior ou igual (com indice menor)
			while(r[i] >= 0 and a[r[i]][j] < a[i][j]) r[i] = r[r[i]];
			if(r[i] >= 0 and r[i]+1 < i) col[i][j].pb({r[i], j});
		}

		for(int i = n-1; i >= 0; i--) {
			r[i] = i+1;
			// acho o primeiro cara maior ou igual (com indice maior)
			while(r[i] < n and a[r[i]][j] < a[i][j]) r[i] = r[r[i]];
			if(r[i] < n and i+1 < r[i] and a[i][j] != a[r[i]][j]) col[r[i]][j].pb({i, j});
		}
	}

	for(int i = 0; i < n; i++) {
		for(int j = 0; j < m; j++) {
			sort(all(line[i][j]));
			sort(all(col[i][j]));

			for(int k = 0, ptr = 0; i != 0 and k < sz(line[i][j]); k++) {
				while(ptr < sz(line[i-1][j]) and line[i-1][j][ptr].fr < line[i][j][k].fr) ptr++;
				if(ptr >= sz(line[i-1][j])) break;
				if(line[i-1][j][ptr].fr == line[i][j][k].fr) line[i][j][k].sc = line[i-1][j][ptr].sc;
			}

			for(int k = 0, ptr = 0; j != 0 and k < sz(col[i][j]); k++) {
				while(ptr < sz(col[i][j-1]) and col[i][j-1][ptr].fr < col[i][j][k].fr) ptr++;
				if(ptr >= sz(col[i][j-1])) break;
				if(col[i][j-1][ptr].fr == col[i][j][k].fr) col[i][j][k].sc = col[i][j-1][ptr].sc;
			}
		}
	}

	// Toda parte anterior é em O(n*m*log)
	// Parte que calcula a resposta em O(n*m*min(n,m))

	int ans = 0;
	for(int i = 1; i < n; i++) {
		for(int j = 1; j < m; j++) {
			// aqui nos calculamos os retangulos com borda (i,j), ou seja:
			// (i,j-1), (i,j-2), ..., (i,j-x) fazem parte do retangulo
			// (i-1,j), (i-2,j), ..., (i-y,j) fazem parte do retangulo
			for(int x = 0; x < sz(col[i][j-1]); x++) {
				for(int y = 0; y < sz(line[i-1][j]); y++) {
					int v1 = col[i][j-1][x].fr, v2 = col[i][j-1][x].sc; 
					int v3 = line[i-1][j][y].fr, v4 = line[i-1][j][y].sc;
					if(v4 <= v1+1 and v2 <= v3+1) ans++; 
				}
			}
		}
	}

	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 404 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 404 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 856 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 1 ms 860 KB Output is correct
25 Correct 1 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 1 ms 860 KB Output is correct
28 Correct 1 ms 860 KB Output is correct
29 Correct 1 ms 604 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 404 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 1 ms 860 KB Output is correct
20 Correct 1 ms 860 KB Output is correct
21 Correct 1 ms 860 KB Output is correct
22 Correct 1 ms 860 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 4 ms 3420 KB Output is correct
31 Correct 4 ms 3420 KB Output is correct
32 Correct 4 ms 3408 KB Output is correct
33 Correct 4 ms 3420 KB Output is correct
34 Correct 8 ms 3928 KB Output is correct
35 Correct 8 ms 4028 KB Output is correct
36 Correct 7 ms 3732 KB Output is correct
37 Correct 8 ms 3932 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 404 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 1 ms 860 KB Output is correct
20 Correct 1 ms 860 KB Output is correct
21 Correct 1 ms 860 KB Output is correct
22 Correct 1 ms 860 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 4 ms 3420 KB Output is correct
26 Correct 4 ms 3420 KB Output is correct
27 Correct 4 ms 3408 KB Output is correct
28 Correct 4 ms 3420 KB Output is correct
29 Correct 8 ms 3928 KB Output is correct
30 Correct 8 ms 4028 KB Output is correct
31 Correct 7 ms 3732 KB Output is correct
32 Correct 8 ms 3932 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 101 ms 32852 KB Output is correct
39 Correct 44 ms 37716 KB Output is correct
40 Correct 43 ms 37716 KB Output is correct
41 Correct 52 ms 42576 KB Output is correct
42 Correct 51 ms 38376 KB Output is correct
43 Correct 51 ms 38504 KB Output is correct
44 Correct 50 ms 38500 KB Output is correct
45 Correct 56 ms 36188 KB Output is correct
46 Correct 51 ms 34828 KB Output is correct
47 Correct 62 ms 37488 KB Output is correct
48 Correct 104 ms 45240 KB Output is correct
49 Correct 106 ms 45192 KB Output is correct
50 Correct 50 ms 22712 KB Output is correct
51 Correct 49 ms 22868 KB Output is correct
52 Correct 99 ms 43860 KB Output is correct
53 Correct 103 ms 43860 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 860 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 0 ms 860 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 1 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 1 ms 860 KB Output is correct
9 Correct 1 ms 860 KB Output is correct
10 Correct 0 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 328 ms 202064 KB Output is correct
8 Correct 724 ms 438332 KB Output is correct
9 Correct 760 ms 440400 KB Output is correct
10 Correct 739 ms 440656 KB Output is correct
11 Correct 128 ms 169300 KB Output is correct
12 Correct 271 ms 321616 KB Output is correct
13 Correct 316 ms 342940 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 404 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 856 KB Output is correct
18 Correct 1 ms 860 KB Output is correct
19 Correct 1 ms 860 KB Output is correct
20 Correct 1 ms 860 KB Output is correct
21 Correct 1 ms 860 KB Output is correct
22 Correct 1 ms 860 KB Output is correct
23 Correct 1 ms 860 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 4 ms 3420 KB Output is correct
26 Correct 4 ms 3420 KB Output is correct
27 Correct 4 ms 3408 KB Output is correct
28 Correct 4 ms 3420 KB Output is correct
29 Correct 8 ms 3928 KB Output is correct
30 Correct 8 ms 4028 KB Output is correct
31 Correct 7 ms 3732 KB Output is correct
32 Correct 8 ms 3932 KB Output is correct
33 Correct 101 ms 32852 KB Output is correct
34 Correct 44 ms 37716 KB Output is correct
35 Correct 43 ms 37716 KB Output is correct
36 Correct 52 ms 42576 KB Output is correct
37 Correct 51 ms 38376 KB Output is correct
38 Correct 51 ms 38504 KB Output is correct
39 Correct 50 ms 38500 KB Output is correct
40 Correct 56 ms 36188 KB Output is correct
41 Correct 51 ms 34828 KB Output is correct
42 Correct 62 ms 37488 KB Output is correct
43 Correct 104 ms 45240 KB Output is correct
44 Correct 106 ms 45192 KB Output is correct
45 Correct 50 ms 22712 KB Output is correct
46 Correct 49 ms 22868 KB Output is correct
47 Correct 99 ms 43860 KB Output is correct
48 Correct 103 ms 43860 KB Output is correct
49 Correct 1 ms 860 KB Output is correct
50 Correct 1 ms 860 KB Output is correct
51 Correct 0 ms 860 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 860 KB Output is correct
54 Correct 1 ms 860 KB Output is correct
55 Correct 1 ms 860 KB Output is correct
56 Correct 1 ms 860 KB Output is correct
57 Correct 1 ms 860 KB Output is correct
58 Correct 0 ms 604 KB Output is correct
59 Correct 1 ms 604 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 328 ms 202064 KB Output is correct
62 Correct 724 ms 438332 KB Output is correct
63 Correct 760 ms 440400 KB Output is correct
64 Correct 739 ms 440656 KB Output is correct
65 Correct 128 ms 169300 KB Output is correct
66 Correct 271 ms 321616 KB Output is correct
67 Correct 316 ms 342940 KB Output is correct
68 Correct 0 ms 348 KB Output is correct
69 Correct 0 ms 344 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 3398 ms 404564 KB Output is correct
74 Correct 548 ms 471380 KB Output is correct
75 Correct 740 ms 471376 KB Output is correct
76 Correct 901 ms 552920 KB Output is correct
77 Correct 655 ms 507624 KB Output is correct
78 Correct 990 ms 358048 KB Output is correct
79 Correct 1060 ms 385744 KB Output is correct
80 Correct 1778 ms 596520 KB Output is correct
81 Correct 1008 ms 374100 KB Output is correct
82 Correct 1394 ms 498524 KB Output is correct
83 Correct 1754 ms 622928 KB Output is correct
84 Correct 942 ms 356440 KB Output is correct
85 Correct 1664 ms 607040 KB Output is correct
86 Correct 1592 ms 589484 KB Output is correct
87 Correct 393 ms 309048 KB Output is correct
88 Correct 646 ms 505876 KB Output is correct
89 Correct 671 ms 506076 KB Output is correct
90 Correct 661 ms 506116 KB Output is correct