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Submission #596327

# Submission time Handle Problem Language Result Execution time Memory
596327 2022-07-14T15:28:22 Z alireza_kaviani Rectangles (IOI19_rect) C++17
100 / 100
 4153 ms 736340 KB 
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

#define X 		first
#define Y 		second
#define all(x)	(x).begin(), (x).end()
#define SZ(x)	int((x).size())
#define sep		' '

const int MAXN = 2510;
const int MOD = 1e9 + 7;

int n , m;
vector<pii> R[MAXN][MAXN] , D[MAXN][MAXN];

ll count_rectangles(vector<vector<int>> A) {
	n = SZ(A); m = SZ(A[0]);

	for(int i = 0 ; i < n ; i++){
		vector<int> stk;
		for(int j = 0 ; j < m ; j++){
			int flag = 1;
			while(SZ(stk) && A[i][j] >= A[i][stk.back()]){
				if(A[i][j] == A[i][stk.back()]) flag = 0;
				if(j - stk.back() > 1){
					R[i][stk.back() + 1].push_back({j - 1 , i});
				}
				stk.pop_back();
			}
			if(flag && SZ(stk) && j - stk.back() > 1){
				R[i][stk.back() + 1].push_back({j - 1 , i});
			}
			stk.push_back(j);
		}
	}

	for(int i = 0 ; i < m ; i++){
		vector<int> stk;
		for(int j = 0 ; j < n ; j++){
			int flag = 1;
			while(SZ(stk) && A[j][i] >= A[stk.back()][i]){
				if(A[j][i] == A[stk.back()][i])	flag = 0;
				if(j - stk.back() > 1){
					D[stk.back() + 1][i].push_back({j - 1 , i});
				}
				stk.pop_back();
			}
			if(flag && SZ(stk) && j - stk.back() > 1){
				D[stk.back() + 1][i].push_back({j - 1 , i});
			}
			stk.push_back(j);
		}
	}

	for(int i = n - 1 ; i >= 0 ; i--){
		for(int j = m - 1 ; j >= 0 ; j--){
			sort(all(R[i][j]));
			sort(all(D[i][j]));
			for(int k = 0 ; k < SZ(R[i][j]) ; k++){
				int ind = lower_bound(all(R[i + 1][j]) , R[i][j][k]) - R[i + 1][j].begin();
				if(ind == SZ(R[i + 1][j]) || R[i + 1][j][ind].X != R[i][j][k].X)	continue;
				R[i][j][k] = R[i + 1][j][ind];
			}
			for(int k = 0 ; k < SZ(D[i][j]) ; k++){
				int ind = lower_bound(all(D[i][j + 1]) , D[i][j][k]) - D[i][j + 1].begin();
				if(ind == SZ(D[i][j + 1]) || D[i][j + 1][ind].X != D[i][j][k].X)	continue;
				D[i][j][k] = D[i][j + 1][ind];
			}
		}
	}

	ll ans = 0;
	for(int i = 1 ; i + 1 < n ; i++){
		for(int j = 1 ; j + 1 < m ; j++){
			for(pii k : R[i][j]){
				for(pii l : D[i][j]){
					if(k.X <= l.Y && l.X <= k.Y){
						ans++;
					}
				}
			}
		}
	}

	return ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 296080 KB Output is correct
2 Correct 154 ms 296188 KB Output is correct
3 Correct 154 ms 296216 KB Output is correct
4 Correct 150 ms 296168 KB Output is correct
5 Correct 138 ms 296276 KB Output is correct
6 Correct 140 ms 296120 KB Output is correct
7 Correct 161 ms 296164 KB Output is correct
8 Correct 136 ms 296116 KB Output is correct
9 Correct 135 ms 296216 KB Output is correct
10 Correct 134 ms 296140 KB Output is correct
11 Correct 131 ms 296100 KB Output is correct
12 Correct 137 ms 296144 KB Output is correct
13 Correct 137 ms 296144 KB Output is correct
14 Correct 135 ms 296148 KB Output is correct
15 Correct 137 ms 296168 KB Output is correct
16 Correct 147 ms 296164 KB Output is correct
17 Correct 138 ms 296124 KB Output is correct
18 Correct 142 ms 296120 KB Output is correct
19 Correct 147 ms 296156 KB Output is correct
20 Correct 143 ms 296084 KB Output is correct
21 Correct 141 ms 296080 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 296080 KB Output is correct
2 Correct 154 ms 296188 KB Output is correct
3 Correct 154 ms 296216 KB Output is correct
4 Correct 150 ms 296168 KB Output is correct
5 Correct 138 ms 296276 KB Output is correct
6 Correct 140 ms 296120 KB Output is correct
7 Correct 161 ms 296164 KB Output is correct
8 Correct 136 ms 296116 KB Output is correct
9 Correct 135 ms 296216 KB Output is correct
10 Correct 134 ms 296140 KB Output is correct
11 Correct 131 ms 296100 KB Output is correct
12 Correct 137 ms 296144 KB Output is correct
13 Correct 137 ms 296144 KB Output is correct
14 Correct 135 ms 296148 KB Output is correct
15 Correct 137 ms 296168 KB Output is correct
16 Correct 147 ms 296164 KB Output is correct
17 Correct 138 ms 296124 KB Output is correct
18 Correct 142 ms 296120 KB Output is correct
19 Correct 147 ms 296156 KB Output is correct
20 Correct 143 ms 296084 KB Output is correct
21 Correct 141 ms 296080 KB Output is correct
22 Correct 160 ms 296528 KB Output is correct
23 Correct 141 ms 296524 KB Output is correct
24 Correct 140 ms 296560 KB Output is correct
25 Correct 134 ms 296340 KB Output is correct
26 Correct 151 ms 296488 KB Output is correct
27 Correct 134 ms 296324 KB Output is correct
28 Correct 137 ms 296396 KB Output is correct
29 Correct 141 ms 296216 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 296080 KB Output is correct
2 Correct 154 ms 296188 KB Output is correct
3 Correct 154 ms 296216 KB Output is correct
4 Correct 150 ms 296168 KB Output is correct
5 Correct 138 ms 296276 KB Output is correct
6 Correct 140 ms 296120 KB Output is correct
7 Correct 161 ms 296164 KB Output is correct
8 Correct 136 ms 296116 KB Output is correct
9 Correct 135 ms 296216 KB Output is correct
10 Correct 134 ms 296140 KB Output is correct
11 Correct 131 ms 296100 KB Output is correct
12 Correct 137 ms 296144 KB Output is correct
13 Correct 137 ms 296144 KB Output is correct
14 Correct 135 ms 296148 KB Output is correct
15 Correct 137 ms 296168 KB Output is correct
16 Correct 147 ms 296164 KB Output is correct
17 Correct 160 ms 296528 KB Output is correct
18 Correct 141 ms 296524 KB Output is correct
19 Correct 140 ms 296560 KB Output is correct
20 Correct 134 ms 296340 KB Output is correct
21 Correct 151 ms 296488 KB Output is correct
22 Correct 134 ms 296324 KB Output is correct
23 Correct 137 ms 296396 KB Output is correct
24 Correct 141 ms 296216 KB Output is correct
25 Correct 138 ms 296124 KB Output is correct
26 Correct 142 ms 296120 KB Output is correct
27 Correct 147 ms 296156 KB Output is correct
28 Correct 143 ms 296084 KB Output is correct
29 Correct 141 ms 296080 KB Output is correct
30 Correct 145 ms 298912 KB Output is correct
31 Correct 144 ms 298932 KB Output is correct
32 Correct 145 ms 298896 KB Output is correct
33 Correct 151 ms 297208 KB Output is correct
34 Correct 155 ms 297920 KB Output is correct
35 Correct 146 ms 297812 KB Output is correct
36 Correct 170 ms 297828 KB Output is correct
37 Correct 159 ms 297740 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 296080 KB Output is correct
2 Correct 154 ms 296188 KB Output is correct
3 Correct 154 ms 296216 KB Output is correct
4 Correct 150 ms 296168 KB Output is correct
5 Correct 138 ms 296276 KB Output is correct
6 Correct 140 ms 296120 KB Output is correct
7 Correct 161 ms 296164 KB Output is correct
8 Correct 136 ms 296116 KB Output is correct
9 Correct 135 ms 296216 KB Output is correct
10 Correct 134 ms 296140 KB Output is correct
11 Correct 131 ms 296100 KB Output is correct
12 Correct 137 ms 296144 KB Output is correct
13 Correct 137 ms 296144 KB Output is correct
14 Correct 135 ms 296148 KB Output is correct
15 Correct 137 ms 296168 KB Output is correct
16 Correct 147 ms 296164 KB Output is correct
17 Correct 160 ms 296528 KB Output is correct
18 Correct 141 ms 296524 KB Output is correct
19 Correct 140 ms 296560 KB Output is correct
20 Correct 134 ms 296340 KB Output is correct
21 Correct 151 ms 296488 KB Output is correct
22 Correct 134 ms 296324 KB Output is correct
23 Correct 137 ms 296396 KB Output is correct
24 Correct 141 ms 296216 KB Output is correct
25 Correct 145 ms 298912 KB Output is correct
26 Correct 144 ms 298932 KB Output is correct
27 Correct 145 ms 298896 KB Output is correct
28 Correct 151 ms 297208 KB Output is correct
29 Correct 155 ms 297920 KB Output is correct
30 Correct 146 ms 297812 KB Output is correct
31 Correct 170 ms 297828 KB Output is correct
32 Correct 159 ms 297740 KB Output is correct
33 Correct 138 ms 296124 KB Output is correct
34 Correct 142 ms 296120 KB Output is correct
35 Correct 147 ms 296156 KB Output is correct
36 Correct 143 ms 296084 KB Output is correct
37 Correct 141 ms 296080 KB Output is correct
38 Correct 212 ms 315280 KB Output is correct
39 Correct 195 ms 310540 KB Output is correct
40 Correct 206 ms 310476 KB Output is correct
41 Correct 269 ms 305804 KB Output is correct
42 Correct 233 ms 330644 KB Output is correct
43 Correct 248 ms 330600 KB Output is correct
44 Correct 238 ms 330640 KB Output is correct
45 Correct 252 ms 328312 KB Output is correct
46 Correct 194 ms 307676 KB Output is correct
47 Correct 212 ms 310240 KB Output is correct
48 Correct 291 ms 317980 KB Output is correct
49 Correct 281 ms 318156 KB Output is correct
50 Correct 206 ms 307148 KB Output is correct
51 Correct 202 ms 306996 KB Output is correct
52 Correct 273 ms 316552 KB Output is correct
53 Correct 275 ms 316736 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 296492 KB Output is correct
2 Correct 159 ms 296552 KB Output is correct
3 Correct 156 ms 296220 KB Output is correct
4 Correct 153 ms 296152 KB Output is correct
5 Correct 147 ms 296432 KB Output is correct
6 Correct 155 ms 296376 KB Output is correct
7 Correct 180 ms 296408 KB Output is correct
8 Correct 141 ms 296308 KB Output is correct
9 Correct 145 ms 296492 KB Output is correct
10 Correct 141 ms 296228 KB Output is correct
11 Correct 159 ms 296244 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 138 ms 296124 KB Output is correct
2 Correct 142 ms 296120 KB Output is correct
3 Correct 147 ms 296156 KB Output is correct
4 Correct 143 ms 296084 KB Output is correct
5 Correct 141 ms 296080 KB Output is correct
6 Correct 143 ms 296152 KB Output is correct
7 Correct 505 ms 363552 KB Output is correct
8 Correct 903 ms 442336 KB Output is correct
9 Correct 942 ms 442972 KB Output is correct
10 Correct 973 ms 443096 KB Output is correct
11 Correct 299 ms 320468 KB Output is correct
12 Correct 327 ms 342300 KB Output is correct
13 Correct 348 ms 345492 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 296080 KB Output is correct
2 Correct 154 ms 296188 KB Output is correct
3 Correct 154 ms 296216 KB Output is correct
4 Correct 150 ms 296168 KB Output is correct
5 Correct 138 ms 296276 KB Output is correct
6 Correct 140 ms 296120 KB Output is correct
7 Correct 161 ms 296164 KB Output is correct
8 Correct 136 ms 296116 KB Output is correct
9 Correct 135 ms 296216 KB Output is correct
10 Correct 134 ms 296140 KB Output is correct
11 Correct 131 ms 296100 KB Output is correct
12 Correct 137 ms 296144 KB Output is correct
13 Correct 137 ms 296144 KB Output is correct
14 Correct 135 ms 296148 KB Output is correct
15 Correct 137 ms 296168 KB Output is correct
16 Correct 147 ms 296164 KB Output is correct
17 Correct 160 ms 296528 KB Output is correct
18 Correct 141 ms 296524 KB Output is correct
19 Correct 140 ms 296560 KB Output is correct
20 Correct 134 ms 296340 KB Output is correct
21 Correct 151 ms 296488 KB Output is correct
22 Correct 134 ms 296324 KB Output is correct
23 Correct 137 ms 296396 KB Output is correct
24 Correct 141 ms 296216 KB Output is correct
25 Correct 145 ms 298912 KB Output is correct
26 Correct 144 ms 298932 KB Output is correct
27 Correct 145 ms 298896 KB Output is correct
28 Correct 151 ms 297208 KB Output is correct
29 Correct 155 ms 297920 KB Output is correct
30 Correct 146 ms 297812 KB Output is correct
31 Correct 170 ms 297828 KB Output is correct
32 Correct 159 ms 297740 KB Output is correct
33 Correct 212 ms 315280 KB Output is correct
34 Correct 195 ms 310540 KB Output is correct
35 Correct 206 ms 310476 KB Output is correct
36 Correct 269 ms 305804 KB Output is correct
37 Correct 233 ms 330644 KB Output is correct
38 Correct 248 ms 330600 KB Output is correct
39 Correct 238 ms 330640 KB Output is correct
40 Correct 252 ms 328312 KB Output is correct
41 Correct 194 ms 307676 KB Output is correct
42 Correct 212 ms 310240 KB Output is correct
43 Correct 291 ms 317980 KB Output is correct
44 Correct 281 ms 318156 KB Output is correct
45 Correct 206 ms 307148 KB Output is correct
46 Correct 202 ms 306996 KB Output is correct
47 Correct 273 ms 316552 KB Output is correct
48 Correct 275 ms 316736 KB Output is correct
49 Correct 145 ms 296492 KB Output is correct
50 Correct 159 ms 296552 KB Output is correct
51 Correct 156 ms 296220 KB Output is correct
52 Correct 153 ms 296152 KB Output is correct
53 Correct 147 ms 296432 KB Output is correct
54 Correct 155 ms 296376 KB Output is correct
55 Correct 180 ms 296408 KB Output is correct
56 Correct 141 ms 296308 KB Output is correct
57 Correct 145 ms 296492 KB Output is correct
58 Correct 141 ms 296228 KB Output is correct
59 Correct 159 ms 296244 KB Output is correct
60 Correct 143 ms 296152 KB Output is correct
61 Correct 505 ms 363552 KB Output is correct
62 Correct 903 ms 442336 KB Output is correct
63 Correct 942 ms 442972 KB Output is correct
64 Correct 973 ms 443096 KB Output is correct
65 Correct 299 ms 320468 KB Output is correct
66 Correct 327 ms 342300 KB Output is correct
67 Correct 348 ms 345492 KB Output is correct
68 Correct 138 ms 296124 KB Output is correct
69 Correct 142 ms 296120 KB Output is correct
70 Correct 147 ms 296156 KB Output is correct
71 Correct 143 ms 296084 KB Output is correct
72 Correct 141 ms 296080 KB Output is correct
73 Correct 1045 ms 540876 KB Output is correct
74 Correct 1119 ms 473632 KB Output is correct
75 Correct 714 ms 474008 KB Output is correct
76 Correct 4153 ms 406712 KB Output is correct
77 Correct 1741 ms 736308 KB Output is correct
78 Correct 1150 ms 463984 KB Output is correct
79 Correct 1215 ms 474224 KB Output is correct
80 Correct 1921 ms 576136 KB Output is correct
81 Correct 1231 ms 465264 KB Output is correct
82 Correct 1561 ms 521792 KB Output is correct
83 Correct 2015 ms 578260 KB Output is correct
84 Correct 1145 ms 454396 KB Output is correct
85 Correct 2105 ms 561964 KB Output is correct
86 Correct 1863 ms 553828 KB Output is correct
87 Correct 1094 ms 560156 KB Output is correct
88 Correct 1742 ms 735980 KB Output is correct
89 Correct 1768 ms 736340 KB Output is correct
90 Correct 1787 ms 736312 KB Output is correct