#include <bits/stdc++.h>
using namespace std;
#ifdef tabr
#include "library/debug.cpp"
#else
#define debug(...)
#endif
struct dsu {
vector<int> p;
vector<int> sz;
vector<int> mn;
vector<int> mx;
int n;
dsu(int _n) : n(_n) {
p = vector<int>(n);
iota(p.begin(), p.end(), 0);
sz = vector<int>(n, 1);
mx = p;
mn = p;
}
inline int get(int x) {
if (p[x] == x) {
return x;
} else {
return p[x] = get(p[x]);
}
}
inline bool unite(int x, int y) {
x = get(x);
y = get(y);
if (x == y) {
return false;
}
p[x] = y;
sz[y] += sz[x];
mn[y] = min(mn[y], mn[x]);
mx[y] = max(mx[y], mx[x]);
return true;
}
inline bool same(int x, int y) {
return (get(x) == get(y));
}
inline int size(int x) {
return sz[get(x)];
}
inline bool root(int x) {
return (x == get(x));
}
};
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename T>
using pbds = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
pbds<int> segs[2500][2500];
set<pair<int, int>> ngs[2500][2500];
int first_ng[2500][2500];
int last_ng[2500][2500];
long long count_rectangles(vector<vector<int>> a) {
int h = (int) a.size();
int w = (int) a[0].size();
for (int j = 0; j < w; j++) {
vector<int> s;
for (int i = h - 1; i >= 0; i--) {
while (!s.empty() && a[s.back()][j] < a[i][j]) {
s.pop_back();
}
if (!s.empty()) {
first_ng[i][j] = s.back();
} else {
first_ng[i][j] = h;
}
s.emplace_back(i);
}
}
for (int j = 0; j < w; j++) {
vector<int> s;
for (int i = 0; i < h; i++) {
while (!s.empty() && a[s.back()][j] < a[i][j]) {
s.pop_back();
}
if (!s.empty()) {
last_ng[i][j] = s.back();
} else {
last_ng[i][j] = -1;
}
s.emplace_back(i);
}
}
long long res = 0;
set<pair<int, int>> cnt;
for (int i = 1; i < h - 1; i++) {
vector<vector<int>> bound(w);
map<int, vector<int>> v;
for (int j = 0; j < w; j++) {
v[a[i][j]].emplace_back(j);
}
dsu uf(w);
for (auto p : v) {
for (int j : p.second) {
if (j - 1 >= 0 && a[i][j] >= a[i][j - 1]) {
uf.unite(j - 1, j);
}
if (j + 1 < w && a[i][j] >= a[i][j + 1]) {
uf.unite(j + 1, j);
}
}
for (int j : p.second) {
if (uf.root(j) && uf.mn[j] > 0 && uf.mx[j] < w - 1) {
bound[uf.mx[j]].emplace_back(uf.mn[j]);
}
}
}
set<pair<int, int>> new_cnt;
vector<int> v_min, v_max;
int up_last = 0;
int down_last = 0;
for (int j = 1; j < w - 1; j++) {
while (!v_min.empty() && first_ng[i - 1][v_min.back()] >= first_ng[i - 1][j]) {
v_min.pop_back();
}
v_min.emplace_back(j);
while (!v_max.empty() && last_ng[i + 1][v_max.back()] <= last_ng[i + 1][j]) {
v_max.pop_back();
}
v_max.emplace_back(j);
if (a[i][j] >= a[i - 1][j]) {
up_last = j;
}
if (a[i][j] >= a[i + 1][j]) {
down_last = j;
}
for (int k : bound[j]) {
new_cnt.emplace(k, j);
if (up_last < k) {
segs[k][j].insert(i);
ngs[k][j].emplace(first_ng[i - 1][*lower_bound(v_min.begin(), v_min.end(), k)], i);
}
auto iter = ngs[k][j].begin();
while (iter != ngs[k][j].end() && iter->first == i) {
segs[k][j].erase(iter->second);
iter = ngs[k][j].erase(iter);
}
if (down_last < k) {
res += (int) (segs[k][j].size() - segs[k][j].order_of_key(last_ng[i + 1][*lower_bound(v_max.begin(), v_max.end(), k)] + 1));
}
}
}
for (auto p : cnt) {
if (!new_cnt.count(p)) {
segs[p.first][p.second].clear();
ngs[p.first][p.second].clear();
}
}
swap(cnt, new_cnt);
}
return res;
}
#ifdef tabr
mt19937 rng((unsigned int) chrono::steady_clock::now().time_since_epoch().count());
int rand_int(int a, int b) { // [a, b]
return uniform_int_distribution<int>(a, b)(rng);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
debug(count_rectangles({{4, 8, 7, 5, 6},
{7, 4, 10, 3, 5},
{9, 7, 20, 14, 2},
{9, 14, 7, 3, 6},
{5, 7, 5, 2, 7},
{4, 5, 13, 5, 6}}));
debug(count_rectangles({{5, 7, 5},
{9, 4, 7},
{9, 7, 20},
{7, 4, 10},
{4, 8, 7}}));
debug(count_rectangles({{10, 10, 10},
{10, 9, 10},
{10, 0, 10},
{10, 1, 10},
{10, 5, 10},
{10, 10, 10}}));
vector<vector<int>> a(6, vector<int>(3, 10));
for (int i = 1; i < 5; i++) {
for (int j = 1; j < 2; j++) {
a[i][j] = rand_int(0, 9);
}
}
for (auto b : a) debug(b);
debug(count_rectangles(a));
return 0;
}
#endif
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
544 ms |
783064 KB |
Output is correct |
2 |
Correct |
510 ms |
783336 KB |
Output is correct |
3 |
Correct |
507 ms |
783432 KB |
Output is correct |
4 |
Correct |
506 ms |
783484 KB |
Output is correct |
5 |
Correct |
503 ms |
783336 KB |
Output is correct |
6 |
Correct |
506 ms |
783284 KB |
Output is correct |
7 |
Correct |
514 ms |
783244 KB |
Output is correct |
8 |
Correct |
513 ms |
783244 KB |
Output is correct |
9 |
Correct |
512 ms |
783324 KB |
Output is correct |
10 |
Correct |
508 ms |
783232 KB |
Output is correct |
11 |
Correct |
517 ms |
783436 KB |
Output is correct |
12 |
Correct |
531 ms |
783224 KB |
Output is correct |
13 |
Correct |
518 ms |
783080 KB |
Output is correct |
14 |
Correct |
504 ms |
783064 KB |
Output is correct |
15 |
Correct |
521 ms |
783092 KB |
Output is correct |
16 |
Correct |
522 ms |
783036 KB |
Output is correct |
17 |
Correct |
504 ms |
783020 KB |
Output is correct |
18 |
Correct |
521 ms |
783032 KB |
Output is correct |
19 |
Correct |
513 ms |
783212 KB |
Output is correct |
20 |
Correct |
518 ms |
783344 KB |
Output is correct |
21 |
Correct |
510 ms |
783144 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
544 ms |
783064 KB |
Output is correct |
2 |
Correct |
510 ms |
783336 KB |
Output is correct |
3 |
Correct |
507 ms |
783432 KB |
Output is correct |
4 |
Correct |
506 ms |
783484 KB |
Output is correct |
5 |
Correct |
503 ms |
783336 KB |
Output is correct |
6 |
Correct |
506 ms |
783284 KB |
Output is correct |
7 |
Correct |
514 ms |
783244 KB |
Output is correct |
8 |
Correct |
513 ms |
783244 KB |
Output is correct |
9 |
Correct |
512 ms |
783324 KB |
Output is correct |
10 |
Correct |
508 ms |
783232 KB |
Output is correct |
11 |
Correct |
517 ms |
783436 KB |
Output is correct |
12 |
Correct |
531 ms |
783224 KB |
Output is correct |
13 |
Correct |
518 ms |
783080 KB |
Output is correct |
14 |
Correct |
504 ms |
783064 KB |
Output is correct |
15 |
Correct |
521 ms |
783092 KB |
Output is correct |
16 |
Correct |
522 ms |
783036 KB |
Output is correct |
17 |
Correct |
504 ms |
783020 KB |
Output is correct |
18 |
Correct |
521 ms |
783032 KB |
Output is correct |
19 |
Correct |
513 ms |
783212 KB |
Output is correct |
20 |
Correct |
518 ms |
783344 KB |
Output is correct |
21 |
Correct |
510 ms |
783144 KB |
Output is correct |
22 |
Correct |
529 ms |
784420 KB |
Output is correct |
23 |
Correct |
512 ms |
784352 KB |
Output is correct |
24 |
Correct |
567 ms |
784356 KB |
Output is correct |
25 |
Correct |
524 ms |
783888 KB |
Output is correct |
26 |
Correct |
510 ms |
783856 KB |
Output is correct |
27 |
Correct |
512 ms |
783816 KB |
Output is correct |
28 |
Correct |
530 ms |
783820 KB |
Output is correct |
29 |
Correct |
506 ms |
783824 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
544 ms |
783064 KB |
Output is correct |
2 |
Correct |
510 ms |
783336 KB |
Output is correct |
3 |
Correct |
507 ms |
783432 KB |
Output is correct |
4 |
Correct |
506 ms |
783484 KB |
Output is correct |
5 |
Correct |
503 ms |
783336 KB |
Output is correct |
6 |
Correct |
506 ms |
783284 KB |
Output is correct |
7 |
Correct |
514 ms |
783244 KB |
Output is correct |
8 |
Correct |
513 ms |
783244 KB |
Output is correct |
9 |
Correct |
512 ms |
783324 KB |
Output is correct |
10 |
Correct |
508 ms |
783232 KB |
Output is correct |
11 |
Correct |
517 ms |
783436 KB |
Output is correct |
12 |
Correct |
531 ms |
783224 KB |
Output is correct |
13 |
Correct |
518 ms |
783080 KB |
Output is correct |
14 |
Correct |
504 ms |
783064 KB |
Output is correct |
15 |
Correct |
521 ms |
783092 KB |
Output is correct |
16 |
Correct |
522 ms |
783036 KB |
Output is correct |
17 |
Correct |
529 ms |
784420 KB |
Output is correct |
18 |
Correct |
512 ms |
784352 KB |
Output is correct |
19 |
Correct |
567 ms |
784356 KB |
Output is correct |
20 |
Correct |
524 ms |
783888 KB |
Output is correct |
21 |
Correct |
510 ms |
783856 KB |
Output is correct |
22 |
Correct |
512 ms |
783816 KB |
Output is correct |
23 |
Correct |
530 ms |
783820 KB |
Output is correct |
24 |
Correct |
506 ms |
783824 KB |
Output is correct |
25 |
Correct |
504 ms |
783020 KB |
Output is correct |
26 |
Correct |
521 ms |
783032 KB |
Output is correct |
27 |
Correct |
513 ms |
783212 KB |
Output is correct |
28 |
Correct |
518 ms |
783344 KB |
Output is correct |
29 |
Correct |
510 ms |
783144 KB |
Output is correct |
30 |
Correct |
546 ms |
789172 KB |
Output is correct |
31 |
Correct |
556 ms |
789236 KB |
Output is correct |
32 |
Correct |
553 ms |
789320 KB |
Output is correct |
33 |
Correct |
514 ms |
785340 KB |
Output is correct |
34 |
Correct |
539 ms |
785480 KB |
Output is correct |
35 |
Correct |
554 ms |
785668 KB |
Output is correct |
36 |
Correct |
541 ms |
785536 KB |
Output is correct |
37 |
Correct |
545 ms |
785604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
544 ms |
783064 KB |
Output is correct |
2 |
Correct |
510 ms |
783336 KB |
Output is correct |
3 |
Correct |
507 ms |
783432 KB |
Output is correct |
4 |
Correct |
506 ms |
783484 KB |
Output is correct |
5 |
Correct |
503 ms |
783336 KB |
Output is correct |
6 |
Correct |
506 ms |
783284 KB |
Output is correct |
7 |
Correct |
514 ms |
783244 KB |
Output is correct |
8 |
Correct |
513 ms |
783244 KB |
Output is correct |
9 |
Correct |
512 ms |
783324 KB |
Output is correct |
10 |
Correct |
508 ms |
783232 KB |
Output is correct |
11 |
Correct |
517 ms |
783436 KB |
Output is correct |
12 |
Correct |
531 ms |
783224 KB |
Output is correct |
13 |
Correct |
518 ms |
783080 KB |
Output is correct |
14 |
Correct |
504 ms |
783064 KB |
Output is correct |
15 |
Correct |
521 ms |
783092 KB |
Output is correct |
16 |
Correct |
522 ms |
783036 KB |
Output is correct |
17 |
Correct |
529 ms |
784420 KB |
Output is correct |
18 |
Correct |
512 ms |
784352 KB |
Output is correct |
19 |
Correct |
567 ms |
784356 KB |
Output is correct |
20 |
Correct |
524 ms |
783888 KB |
Output is correct |
21 |
Correct |
510 ms |
783856 KB |
Output is correct |
22 |
Correct |
512 ms |
783816 KB |
Output is correct |
23 |
Correct |
530 ms |
783820 KB |
Output is correct |
24 |
Correct |
506 ms |
783824 KB |
Output is correct |
25 |
Correct |
546 ms |
789172 KB |
Output is correct |
26 |
Correct |
556 ms |
789236 KB |
Output is correct |
27 |
Correct |
553 ms |
789320 KB |
Output is correct |
28 |
Correct |
514 ms |
785340 KB |
Output is correct |
29 |
Correct |
539 ms |
785480 KB |
Output is correct |
30 |
Correct |
554 ms |
785668 KB |
Output is correct |
31 |
Correct |
541 ms |
785536 KB |
Output is correct |
32 |
Correct |
545 ms |
785604 KB |
Output is correct |
33 |
Correct |
504 ms |
783020 KB |
Output is correct |
34 |
Correct |
521 ms |
783032 KB |
Output is correct |
35 |
Correct |
513 ms |
783212 KB |
Output is correct |
36 |
Correct |
518 ms |
783344 KB |
Output is correct |
37 |
Correct |
510 ms |
783144 KB |
Output is correct |
38 |
Correct |
678 ms |
797372 KB |
Output is correct |
39 |
Correct |
692 ms |
797420 KB |
Output is correct |
40 |
Correct |
788 ms |
797608 KB |
Output is correct |
41 |
Correct |
942 ms |
797736 KB |
Output is correct |
42 |
Correct |
1183 ms |
843380 KB |
Output is correct |
43 |
Correct |
1132 ms |
843248 KB |
Output is correct |
44 |
Correct |
1112 ms |
843192 KB |
Output is correct |
45 |
Correct |
1074 ms |
839376 KB |
Output is correct |
46 |
Correct |
624 ms |
797276 KB |
Output is correct |
47 |
Correct |
657 ms |
797512 KB |
Output is correct |
48 |
Correct |
858 ms |
797604 KB |
Output is correct |
49 |
Correct |
913 ms |
797528 KB |
Output is correct |
50 |
Correct |
728 ms |
793580 KB |
Output is correct |
51 |
Correct |
709 ms |
790988 KB |
Output is correct |
52 |
Correct |
884 ms |
797568 KB |
Output is correct |
53 |
Correct |
887 ms |
797668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
527 ms |
784032 KB |
Output is correct |
2 |
Correct |
514 ms |
784160 KB |
Output is correct |
3 |
Correct |
512 ms |
783256 KB |
Output is correct |
4 |
Correct |
520 ms |
783064 KB |
Output is correct |
5 |
Correct |
513 ms |
783860 KB |
Output is correct |
6 |
Correct |
522 ms |
783756 KB |
Output is correct |
7 |
Correct |
535 ms |
783968 KB |
Output is correct |
8 |
Correct |
512 ms |
783804 KB |
Output is correct |
9 |
Correct |
521 ms |
783852 KB |
Output is correct |
10 |
Correct |
513 ms |
783064 KB |
Output is correct |
11 |
Correct |
502 ms |
783176 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
504 ms |
783020 KB |
Output is correct |
2 |
Correct |
521 ms |
783032 KB |
Output is correct |
3 |
Correct |
513 ms |
783212 KB |
Output is correct |
4 |
Correct |
518 ms |
783344 KB |
Output is correct |
5 |
Correct |
510 ms |
783144 KB |
Output is correct |
6 |
Correct |
517 ms |
783128 KB |
Output is correct |
7 |
Correct |
1156 ms |
832164 KB |
Output is correct |
8 |
Correct |
1831 ms |
882980 KB |
Output is correct |
9 |
Correct |
1828 ms |
883836 KB |
Output is correct |
10 |
Correct |
1854 ms |
883844 KB |
Output is correct |
11 |
Correct |
746 ms |
834036 KB |
Output is correct |
12 |
Correct |
982 ms |
880600 KB |
Output is correct |
13 |
Correct |
1030 ms |
883816 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
544 ms |
783064 KB |
Output is correct |
2 |
Correct |
510 ms |
783336 KB |
Output is correct |
3 |
Correct |
507 ms |
783432 KB |
Output is correct |
4 |
Correct |
506 ms |
783484 KB |
Output is correct |
5 |
Correct |
503 ms |
783336 KB |
Output is correct |
6 |
Correct |
506 ms |
783284 KB |
Output is correct |
7 |
Correct |
514 ms |
783244 KB |
Output is correct |
8 |
Correct |
513 ms |
783244 KB |
Output is correct |
9 |
Correct |
512 ms |
783324 KB |
Output is correct |
10 |
Correct |
508 ms |
783232 KB |
Output is correct |
11 |
Correct |
517 ms |
783436 KB |
Output is correct |
12 |
Correct |
531 ms |
783224 KB |
Output is correct |
13 |
Correct |
518 ms |
783080 KB |
Output is correct |
14 |
Correct |
504 ms |
783064 KB |
Output is correct |
15 |
Correct |
521 ms |
783092 KB |
Output is correct |
16 |
Correct |
522 ms |
783036 KB |
Output is correct |
17 |
Correct |
529 ms |
784420 KB |
Output is correct |
18 |
Correct |
512 ms |
784352 KB |
Output is correct |
19 |
Correct |
567 ms |
784356 KB |
Output is correct |
20 |
Correct |
524 ms |
783888 KB |
Output is correct |
21 |
Correct |
510 ms |
783856 KB |
Output is correct |
22 |
Correct |
512 ms |
783816 KB |
Output is correct |
23 |
Correct |
530 ms |
783820 KB |
Output is correct |
24 |
Correct |
506 ms |
783824 KB |
Output is correct |
25 |
Correct |
546 ms |
789172 KB |
Output is correct |
26 |
Correct |
556 ms |
789236 KB |
Output is correct |
27 |
Correct |
553 ms |
789320 KB |
Output is correct |
28 |
Correct |
514 ms |
785340 KB |
Output is correct |
29 |
Correct |
539 ms |
785480 KB |
Output is correct |
30 |
Correct |
554 ms |
785668 KB |
Output is correct |
31 |
Correct |
541 ms |
785536 KB |
Output is correct |
32 |
Correct |
545 ms |
785604 KB |
Output is correct |
33 |
Correct |
678 ms |
797372 KB |
Output is correct |
34 |
Correct |
692 ms |
797420 KB |
Output is correct |
35 |
Correct |
788 ms |
797608 KB |
Output is correct |
36 |
Correct |
942 ms |
797736 KB |
Output is correct |
37 |
Correct |
1183 ms |
843380 KB |
Output is correct |
38 |
Correct |
1132 ms |
843248 KB |
Output is correct |
39 |
Correct |
1112 ms |
843192 KB |
Output is correct |
40 |
Correct |
1074 ms |
839376 KB |
Output is correct |
41 |
Correct |
624 ms |
797276 KB |
Output is correct |
42 |
Correct |
657 ms |
797512 KB |
Output is correct |
43 |
Correct |
858 ms |
797604 KB |
Output is correct |
44 |
Correct |
913 ms |
797528 KB |
Output is correct |
45 |
Correct |
728 ms |
793580 KB |
Output is correct |
46 |
Correct |
709 ms |
790988 KB |
Output is correct |
47 |
Correct |
884 ms |
797568 KB |
Output is correct |
48 |
Correct |
887 ms |
797668 KB |
Output is correct |
49 |
Correct |
527 ms |
784032 KB |
Output is correct |
50 |
Correct |
514 ms |
784160 KB |
Output is correct |
51 |
Correct |
512 ms |
783256 KB |
Output is correct |
52 |
Correct |
520 ms |
783064 KB |
Output is correct |
53 |
Correct |
513 ms |
783860 KB |
Output is correct |
54 |
Correct |
522 ms |
783756 KB |
Output is correct |
55 |
Correct |
535 ms |
783968 KB |
Output is correct |
56 |
Correct |
512 ms |
783804 KB |
Output is correct |
57 |
Correct |
521 ms |
783852 KB |
Output is correct |
58 |
Correct |
513 ms |
783064 KB |
Output is correct |
59 |
Correct |
502 ms |
783176 KB |
Output is correct |
60 |
Correct |
517 ms |
783128 KB |
Output is correct |
61 |
Correct |
1156 ms |
832164 KB |
Output is correct |
62 |
Correct |
1831 ms |
882980 KB |
Output is correct |
63 |
Correct |
1828 ms |
883836 KB |
Output is correct |
64 |
Correct |
1854 ms |
883844 KB |
Output is correct |
65 |
Correct |
746 ms |
834036 KB |
Output is correct |
66 |
Correct |
982 ms |
880600 KB |
Output is correct |
67 |
Correct |
1030 ms |
883816 KB |
Output is correct |
68 |
Correct |
504 ms |
783020 KB |
Output is correct |
69 |
Correct |
521 ms |
783032 KB |
Output is correct |
70 |
Correct |
513 ms |
783212 KB |
Output is correct |
71 |
Correct |
518 ms |
783344 KB |
Output is correct |
72 |
Correct |
510 ms |
783144 KB |
Output is correct |
73 |
Correct |
3047 ms |
883816 KB |
Output is correct |
74 |
Correct |
2786 ms |
883720 KB |
Output is correct |
75 |
Correct |
3766 ms |
883540 KB |
Output is correct |
76 |
Correct |
3161 ms |
882824 KB |
Output is correct |
77 |
Execution timed out |
5132 ms |
1029636 KB |
Time limit exceeded |
78 |
Halted |
0 ms |
0 KB |
- |