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Submission #223024

# Submission time Handle Problem Language Result Execution time Memory
223024 2020-04-14T13:46:09 Z abeker Rectangles (IOI19_rect) C++17
100 / 100
 4740 ms 961212 KB 
#include <bits/stdc++.h>
using namespace std;

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

const int MAXN = 2.5e3 + 5;

short foo[MAXN];
vector <short> rows[MAXN][MAXN], cols[MAXN][MAXN];
vector <pii> in[MAXN][MAXN], out[MAXN][MAXN];
int f[MAXN][MAXN];

void update(int r, int x, int val) {
	for (x++; x < MAXN; x += x & -x)
		f[r][x] += val;
}

int get(int r, int x) {
	int res = 0;
	for (x++; x; x -= x & -x)
		res += f[r][x];
	return res;
}

void find_pairs(const vector <int> &arr, vector <short> ref[MAXN][MAXN], int idx) {
	int n = arr.size(), sz = 0;
	for (int i = 0; i < n; i++) {
		while (sz && arr[foo[sz - 1]] < arr[i])
			sz--;
		if (sz && foo[sz - 1] < i - 1)
			ref[foo[sz - 1]][i].push_back(idx);
		foo[sz++] = i;
	}
	sz = 0;
	for (int i = n - 1; i >= 0; i--) {
		while (sz && arr[foo[sz - 1]] < arr[i])
			sz--;
		if (sz && arr[foo[sz - 1]] > arr[i] && foo[sz - 1] > i + 1)
			ref[i][foo[sz - 1]].push_back(idx);
		foo[sz++] = i;
	}
}

ll count_rectangles(vector <vector <int>> a) {
	int N = a.size();
	int M = a[0].size();

	for (int i = 0; i < N; i++) 
		find_pairs(a[i], rows, i);
	
	for (int j = 0; j < M; j++) {
		vector <int> curr;
		for (int i = 0; i < N; i++)
			curr.push_back(a[i][j]);
		find_pairs(curr, cols, j);
	}
	
	for (int i = 0; i < N; i++)
		for (int j = i + 2; j < N; j++) {
			int lst = 0;
			int sz = cols[i][j].size();
			for (int k = 0; k < sz; k++) 
				if (k == sz - 1 || cols[i][j][k + 1] > cols[i][j][k] + 1) {
					int lo = max(cols[i][j][lst] - 1, 0);
					int hi = min(cols[i][j][k] + 1, M - 1);
					for (int l = lo; l <= hi; l++) {
						in[l][lo].push_back({i, j});
						out[l][hi].push_back({i, j});
					}
					lst = k + 1;
				}	
		}
	
	ll sol = 0;
	for (int i = 0; i < M; i++)
		for (int j = 0; j < M; j++) {
			for (auto it : in[i][j])
				update(it.first, it.second, 1);
			if (j > i + 1) {
				int lst = 0;
				int sz = rows[i][j].size();
				for (int k = 0; k < sz; k++) 
					if (k == sz - 1 || rows[i][j][k + 1] > rows[i][j][k] + 1) {
						int lo = max(rows[i][j][lst] - 1, 0);
						int hi = min(rows[i][j][k] + 1, N - 1);
						for (int l = lo; l <= hi; l++) 
							sol += get(l, hi) - get(l, lo - 1);
						lst = k + 1;
					}	
			}
			for (auto it : out[i][j])
				update(it.first, it.second, -1);
		}
	
	return sol;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 354 ms 589948 KB Output is correct
2 Correct 351 ms 590072 KB Output is correct
3 Correct 359 ms 590200 KB Output is correct
4 Correct 358 ms 590072 KB Output is correct
5 Correct 354 ms 589896 KB Output is correct
6 Correct 355 ms 590160 KB Output is correct
7 Correct 349 ms 590072 KB Output is correct
8 Correct 361 ms 589816 KB Output is correct
9 Correct 346 ms 590200 KB Output is correct
10 Correct 350 ms 590072 KB Output is correct
11 Correct 351 ms 590072 KB Output is correct
12 Correct 355 ms 590120 KB Output is correct
13 Correct 355 ms 589688 KB Output is correct
14 Correct 350 ms 589916 KB Output is correct
15 Correct 348 ms 589688 KB Output is correct
16 Correct 359 ms 589816 KB Output is correct
17 Correct 360 ms 589816 KB Output is correct
18 Correct 348 ms 589944 KB Output is correct
19 Correct 353 ms 590072 KB Output is correct
20 Correct 357 ms 589816 KB Output is correct
21 Correct 346 ms 589816 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 354 ms 589948 KB Output is correct
2 Correct 351 ms 590072 KB Output is correct
3 Correct 359 ms 590200 KB Output is correct
4 Correct 358 ms 590072 KB Output is correct
5 Correct 354 ms 589896 KB Output is correct
6 Correct 355 ms 590160 KB Output is correct
7 Correct 349 ms 590072 KB Output is correct
8 Correct 361 ms 589816 KB Output is correct
9 Correct 346 ms 590200 KB Output is correct
10 Correct 350 ms 590072 KB Output is correct
11 Correct 351 ms 590072 KB Output is correct
12 Correct 355 ms 590120 KB Output is correct
13 Correct 355 ms 589688 KB Output is correct
14 Correct 350 ms 589916 KB Output is correct
15 Correct 348 ms 589688 KB Output is correct
16 Correct 359 ms 589816 KB Output is correct
17 Correct 356 ms 590840 KB Output is correct
18 Correct 352 ms 590716 KB Output is correct
19 Correct 359 ms 590712 KB Output is correct
20 Correct 354 ms 590712 KB Output is correct
21 Correct 360 ms 590840 KB Output is correct
22 Correct 364 ms 590872 KB Output is correct
23 Correct 353 ms 590840 KB Output is correct
24 Correct 377 ms 590712 KB Output is correct
25 Correct 360 ms 589816 KB Output is correct
26 Correct 348 ms 589944 KB Output is correct
27 Correct 353 ms 590072 KB Output is correct
28 Correct 357 ms 589816 KB Output is correct
29 Correct 346 ms 589816 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 354 ms 589948 KB Output is correct
2 Correct 351 ms 590072 KB Output is correct
3 Correct 359 ms 590200 KB Output is correct
4 Correct 358 ms 590072 KB Output is correct
5 Correct 354 ms 589896 KB Output is correct
6 Correct 355 ms 590160 KB Output is correct
7 Correct 349 ms 590072 KB Output is correct
8 Correct 361 ms 589816 KB Output is correct
9 Correct 346 ms 590200 KB Output is correct
10 Correct 350 ms 590072 KB Output is correct
11 Correct 351 ms 590072 KB Output is correct
12 Correct 355 ms 590120 KB Output is correct
13 Correct 355 ms 589688 KB Output is correct
14 Correct 350 ms 589916 KB Output is correct
15 Correct 348 ms 589688 KB Output is correct
16 Correct 359 ms 589816 KB Output is correct
17 Correct 356 ms 590840 KB Output is correct
18 Correct 352 ms 590716 KB Output is correct
19 Correct 359 ms 590712 KB Output is correct
20 Correct 354 ms 590712 KB Output is correct
21 Correct 360 ms 590840 KB Output is correct
22 Correct 364 ms 590872 KB Output is correct
23 Correct 353 ms 590840 KB Output is correct
24 Correct 377 ms 590712 KB Output is correct
25 Correct 360 ms 593016 KB Output is correct
26 Correct 390 ms 592892 KB Output is correct
27 Correct 364 ms 592888 KB Output is correct
28 Correct 387 ms 592956 KB Output is correct
29 Correct 375 ms 594168 KB Output is correct
30 Correct 372 ms 594404 KB Output is correct
31 Correct 374 ms 593784 KB Output is correct
32 Correct 379 ms 594068 KB Output is correct
33 Correct 360 ms 589816 KB Output is correct
34 Correct 348 ms 589944 KB Output is correct
35 Correct 353 ms 590072 KB Output is correct
36 Correct 357 ms 589816 KB Output is correct
37 Correct 346 ms 589816 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 354 ms 589948 KB Output is correct
2 Correct 351 ms 590072 KB Output is correct
3 Correct 359 ms 590200 KB Output is correct
4 Correct 358 ms 590072 KB Output is correct
5 Correct 354 ms 589896 KB Output is correct
6 Correct 355 ms 590160 KB Output is correct
7 Correct 349 ms 590072 KB Output is correct
8 Correct 361 ms 589816 KB Output is correct
9 Correct 346 ms 590200 KB Output is correct
10 Correct 350 ms 590072 KB Output is correct
11 Correct 351 ms 590072 KB Output is correct
12 Correct 355 ms 590120 KB Output is correct
13 Correct 355 ms 589688 KB Output is correct
14 Correct 350 ms 589916 KB Output is correct
15 Correct 348 ms 589688 KB Output is correct
16 Correct 359 ms 589816 KB Output is correct
17 Correct 356 ms 590840 KB Output is correct
18 Correct 352 ms 590716 KB Output is correct
19 Correct 359 ms 590712 KB Output is correct
20 Correct 354 ms 590712 KB Output is correct
21 Correct 360 ms 590840 KB Output is correct
22 Correct 364 ms 590872 KB Output is correct
23 Correct 353 ms 590840 KB Output is correct
24 Correct 377 ms 590712 KB Output is correct
25 Correct 360 ms 593016 KB Output is correct
26 Correct 390 ms 592892 KB Output is correct
27 Correct 364 ms 592888 KB Output is correct
28 Correct 387 ms 592956 KB Output is correct
29 Correct 375 ms 594168 KB Output is correct
30 Correct 372 ms 594404 KB Output is correct
31 Correct 374 ms 593784 KB Output is correct
32 Correct 379 ms 594068 KB Output is correct
33 Correct 529 ms 625784 KB Output is correct
34 Correct 499 ms 625784 KB Output is correct
35 Correct 494 ms 625812 KB Output is correct
36 Correct 477 ms 625784 KB Output is correct
37 Correct 459 ms 610040 KB Output is correct
38 Correct 460 ms 610040 KB Output is correct
39 Correct 496 ms 610040 KB Output is correct
40 Correct 465 ms 609500 KB Output is correct
41 Correct 438 ms 606968 KB Output is correct
42 Correct 480 ms 607792 KB Output is correct
43 Correct 620 ms 626008 KB Output is correct
44 Correct 621 ms 626296 KB Output is correct
45 Correct 483 ms 611960 KB Output is correct
46 Correct 491 ms 608760 KB Output is correct
47 Correct 573 ms 616056 KB Output is correct
48 Correct 595 ms 615996 KB Output is correct
49 Correct 360 ms 589816 KB Output is correct
50 Correct 348 ms 589944 KB Output is correct
51 Correct 353 ms 590072 KB Output is correct
52 Correct 357 ms 589816 KB Output is correct
53 Correct 346 ms 589816 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 385 ms 590200 KB Output is correct
2 Correct 376 ms 590056 KB Output is correct
3 Correct 375 ms 589816 KB Output is correct
4 Correct 350 ms 589724 KB Output is correct
5 Correct 383 ms 590200 KB Output is correct
6 Correct 392 ms 590328 KB Output is correct
7 Correct 378 ms 590328 KB Output is correct
8 Correct 380 ms 590200 KB Output is correct
9 Correct 372 ms 590200 KB Output is correct
10 Correct 369 ms 589944 KB Output is correct
11 Correct 383 ms 589944 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 354 ms 589792 KB Output is correct
2 Correct 994 ms 662392 KB Output is correct
3 Correct 1717 ms 736652 KB Output is correct
4 Correct 1791 ms 737016 KB Output is correct
5 Correct 1789 ms 737016 KB Output is correct
6 Correct 490 ms 614908 KB Output is correct
7 Correct 573 ms 636792 KB Output is correct
8 Correct 588 ms 639968 KB Output is correct
9 Correct 360 ms 589816 KB Output is correct
10 Correct 348 ms 589944 KB Output is correct
11 Correct 353 ms 590072 KB Output is correct
12 Correct 357 ms 589816 KB Output is correct
13 Correct 346 ms 589816 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 354 ms 589948 KB Output is correct
2 Correct 351 ms 590072 KB Output is correct
3 Correct 359 ms 590200 KB Output is correct
4 Correct 358 ms 590072 KB Output is correct
5 Correct 354 ms 589896 KB Output is correct
6 Correct 355 ms 590160 KB Output is correct
7 Correct 349 ms 590072 KB Output is correct
8 Correct 361 ms 589816 KB Output is correct
9 Correct 346 ms 590200 KB Output is correct
10 Correct 350 ms 590072 KB Output is correct
11 Correct 351 ms 590072 KB Output is correct
12 Correct 355 ms 590120 KB Output is correct
13 Correct 355 ms 589688 KB Output is correct
14 Correct 350 ms 589916 KB Output is correct
15 Correct 348 ms 589688 KB Output is correct
16 Correct 359 ms 589816 KB Output is correct
17 Correct 356 ms 590840 KB Output is correct
18 Correct 352 ms 590716 KB Output is correct
19 Correct 359 ms 590712 KB Output is correct
20 Correct 354 ms 590712 KB Output is correct
21 Correct 360 ms 590840 KB Output is correct
22 Correct 364 ms 590872 KB Output is correct
23 Correct 353 ms 590840 KB Output is correct
24 Correct 377 ms 590712 KB Output is correct
25 Correct 360 ms 593016 KB Output is correct
26 Correct 390 ms 592892 KB Output is correct
27 Correct 364 ms 592888 KB Output is correct
28 Correct 387 ms 592956 KB Output is correct
29 Correct 375 ms 594168 KB Output is correct
30 Correct 372 ms 594404 KB Output is correct
31 Correct 374 ms 593784 KB Output is correct
32 Correct 379 ms 594068 KB Output is correct
33 Correct 529 ms 625784 KB Output is correct
34 Correct 499 ms 625784 KB Output is correct
35 Correct 494 ms 625812 KB Output is correct
36 Correct 477 ms 625784 KB Output is correct
37 Correct 459 ms 610040 KB Output is correct
38 Correct 460 ms 610040 KB Output is correct
39 Correct 496 ms 610040 KB Output is correct
40 Correct 465 ms 609500 KB Output is correct
41 Correct 438 ms 606968 KB Output is correct
42 Correct 480 ms 607792 KB Output is correct
43 Correct 620 ms 626008 KB Output is correct
44 Correct 621 ms 626296 KB Output is correct
45 Correct 483 ms 611960 KB Output is correct
46 Correct 491 ms 608760 KB Output is correct
47 Correct 573 ms 616056 KB Output is correct
48 Correct 595 ms 615996 KB Output is correct
49 Correct 385 ms 590200 KB Output is correct
50 Correct 376 ms 590056 KB Output is correct
51 Correct 375 ms 589816 KB Output is correct
52 Correct 350 ms 589724 KB Output is correct
53 Correct 383 ms 590200 KB Output is correct
54 Correct 392 ms 590328 KB Output is correct
55 Correct 378 ms 590328 KB Output is correct
56 Correct 380 ms 590200 KB Output is correct
57 Correct 372 ms 590200 KB Output is correct
58 Correct 369 ms 589944 KB Output is correct
59 Correct 383 ms 589944 KB Output is correct
60 Correct 354 ms 589792 KB Output is correct
61 Correct 994 ms 662392 KB Output is correct
62 Correct 1717 ms 736652 KB Output is correct
63 Correct 1791 ms 737016 KB Output is correct
64 Correct 1789 ms 737016 KB Output is correct
65 Correct 490 ms 614908 KB Output is correct
66 Correct 573 ms 636792 KB Output is correct
67 Correct 588 ms 639968 KB Output is correct
68 Correct 3119 ms 960508 KB Output is correct
69 Correct 2609 ms 961212 KB Output is correct
70 Correct 2279 ms 957176 KB Output is correct
71 Correct 1796 ms 957176 KB Output is correct
72 Correct 2066 ms 764792 KB Output is correct
73 Correct 2769 ms 804004 KB Output is correct
74 Correct 2927 ms 828152 KB Output is correct
75 Correct 4553 ms 913532 KB Output is correct
76 Correct 2911 ms 803784 KB Output is correct
77 Correct 3705 ms 885060 KB Output is correct
78 Correct 4740 ms 952052 KB Output is correct
79 Correct 2521 ms 761464 KB Output is correct
80 Correct 4040 ms 889360 KB Output is correct
81 Correct 3946 ms 885076 KB Output is correct
82 Correct 1344 ms 725060 KB Output is correct
83 Correct 2049 ms 811788 KB Output is correct
84 Correct 1998 ms 811896 KB Output is correct
85 Correct 2017 ms 811888 KB Output is correct
86 Correct 360 ms 589816 KB Output is correct
87 Correct 348 ms 589944 KB Output is correct
88 Correct 353 ms 590072 KB Output is correct
89 Correct 357 ms 589816 KB Output is correct
90 Correct 346 ms 589816 KB Output is correct