Submission #297995

# Submission time Handle Problem Language Result Execution time Memory
297995 2020-09-12T09:22:33 Z erd1 Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 952936 KB
#include "rect.h"
#include<bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define pb push_back
#define all(x) (x).begin(), (x).end()
typedef int64_t lld;
typedef pair<int, int> pii;

/*
#include<bits/extc++.h>
using namespace __gnu_pbds;
template<typename T, typename comp = greater<T>>
using OST = tree<T, null_type, comp, rb_tree_tag, tree_order_statistics_node_update>;
*/

template<typename T1, typename T2>
ostream& operator<<(ostream& out, pair<T1, T2> p){
	return out << "(" << p.ff << ", " << p.ss << ")";
}

vector<pii> tmp;
vector<vector<int>> U, D, L, R;

template<typename Cmp>
struct node{
	node *L, *R;
	int l, r, mid, s;
	int cmp(int a, int b){ return Cmp()(a, b)?a:b; }
	vector<int> data;
	node(int ll, int rr, int st, const vector<vector<int>>& v) : l(ll), r(rr), mid((l+r)/2), s(st) {
		data.resize(s*4);
		if(l != r){
			L = new node(l, mid, s, v), R = new node(mid+1, r, s, v);
			for(int i = 0; i < data.size(); i++)data.at(i) = cmp(L->data.at(i), R->data.at(i));
		}
		else build_data(1, 0, s, v.at(l));
	}
	void build_data(int i, int ll, int rr, const vector<int>& v){
		if(data.size() <= i)data.resize(i+1);
		if(ll == rr)data[i] = v[ll];
		else build_data(i<<1, ll, (ll+rr)>>1, v), build_data((i<<1)+1, ((ll+rr)>>1)+1, rr, v), data[i] = cmp(data[i<<1], data[(i<<1)+1]);
	}
	int query_data(int i, int ll, int rr, int ql, int qr){
		//cout << ll << " " << rr << " " << ql << " " << qr << endl;
		assert(ql <= rr && qr >= ll);
		if(ql <= ll && qr >= rr)return data[i];
		if(qr <= ((ll+rr)>>1))return query_data(i<<1, ll, (ll+rr)>>1, ql, qr);
		if(ql > ((ll+rr)>>1))return query_data((i<<1)+1, ((ll+rr)>>1)+1, rr, ql, qr);
		return cmp(query_data(i<<1, ll, (ll+rr)>>1, ql, qr), query_data((i<<1)+1, ((ll+rr)>>1)+1, rr, ql, qr));

	}
	int query(int l1, int r1, int l2, int r2){
		assert(l1 <= r && r1 >= l);
		if(l1 <= l && r1 >= r)return query_data(1, 0, s, l2, r2);
		if(l1 > mid)return R->query(l1, r1, l2, r2);
		if(r1 <= mid)return L->query(l1, r1, l2, r2);
		return cmp(L->query(l1, r1, l2, r2), R->query(l1, r1, l2, r2));
	}
};

node<greater<int>> *d, *r;
node<less<int>> *u, *l;
set<tuple<int, int, int, int>> st;

long long count_rectangles(vector<vector<int>> a) {
	int n = a.size(), m = a[0].size();
	U = D = L = R = a;
	for(int i = 1; i < n; i++){
		tmp.resize(0); tmp.pb({INT_MAX, -1});
		for(int j = 0; j < m; j++){
			while(tmp.back().ff <= a[i][j])tmp.pop_back();
			L[i][j] = tmp.back().ss;
			tmp.pb({a[i][j], j});
		}
		tmp.resize(0); tmp.pb({INT_MAX, m});
		for(int j = m-1; j > 0; j--){
			while(tmp.back().ff <= a[i][j])tmp.pop_back();
			R[i][j] = tmp.back().ss;
			tmp.pb({a[i][j], j});
		}
	}
	for(int j = 1; j < m; j++){
		tmp.resize(0); tmp.pb({INT_MAX, -1});
		for(int i = 0; i < n; i++){
			while(tmp.back().ff <= a[i][j])tmp.pop_back();
			U[i][j] = tmp.back().ss;
			tmp.pb({a[i][j], i});
		}
		tmp.resize(0); tmp.pb({INT_MAX, n});
		for(int i = n-1; i > 0; i--){
			while(tmp.back().ff <= a[i][j])tmp.pop_back();
			D[i][j] = tmp.back().ss;
			tmp.pb({a[i][j], i});
		}
	}
	u = new node<less<int>>(0, n-1, m-1, U), l = new node<less<int>>(0, n-1, m-1, L);
	d = new node<greater<int>>(0, n-1, m-1, D), r = new node<greater<int>>(0, n-1, m-1, R);
	for(int i = 1; i <= n-2; i++)
		for(int j = 1; j <= m-2; j++){
			if(U[i][j] < 0 || D[i][j] >= n || L[i][j] < 0 || R[i][j] >= m)goto next;
			//cout << i << " " << j << " " << U[i][j] << D[i][j] << L[i][j] << R[i][j] << " " << u->query(U[i][j]+1, D[i][j]-1, L[i][j]+1, R[i][j]-1) << endl;
			if(u->query(U[i][j]+1, D[i][j]-1, L[i][j]+1, R[i][j]-1) != U[i][j])goto next;
			if(l->query(U[i][j]+1, D[i][j]-1, L[i][j]+1, R[i][j]-1) != L[i][j])goto next;
			if(d->query(U[i][j]+1, D[i][j]-1, L[i][j]+1, R[i][j]-1) != D[i][j])goto next;
			if(r->query(U[i][j]+1, D[i][j]-1, L[i][j]+1, R[i][j]-1) != R[i][j])goto next;
			st.insert({U[i][j], L[i][j], D[i][j], R[i][j]});
			next:;
		}
	return st.size();
}

Compilation message

rect.cpp: In instantiation of 'node<Cmp>::node(int, int, int, const std::vector<std::vector<int> >&) [with Cmp = std::less<int>]':
rect.cpp:98:40:   required from here
rect.cpp:36:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   36 |    for(int i = 0; i < data.size(); i++)data.at(i) = cmp(L->data.at(i), R->data.at(i));
      |                   ~~^~~~~~~~~~~~~
rect.cpp: In instantiation of 'node<Cmp>::node(int, int, int, const std::vector<std::vector<int> >&) [with Cmp = std::greater<int>]':
rect.cpp:99:43:   required from here
rect.cpp:36:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
rect.cpp: In instantiation of 'void node<Cmp>::build_data(int, int, int, const std::vector<int>&) [with Cmp = std::less<int>]':
rect.cpp:38:8:   required from 'node<Cmp>::node(int, int, int, const std::vector<std::vector<int> >&) [with Cmp = std::less<int>]'
rect.cpp:98:40:   required from here
rect.cpp:41:18: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   41 |   if(data.size() <= i)data.resize(i+1);
      |      ~~~~~~~~~~~~^~~~
rect.cpp: In instantiation of 'void node<Cmp>::build_data(int, int, int, const std::vector<int>&) [with Cmp = std::greater<int>]':
rect.cpp:38:8:   required from 'node<Cmp>::node(int, int, int, const std::vector<std::vector<int> >&) [with Cmp = std::greater<int>]'
rect.cpp:99:43:   required from here
rect.cpp:41:18: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 0 ms 256 KB Output is correct
18 Correct 1 ms 256 KB Output is correct
19 Correct 1 ms 512 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 13 ms 1664 KB Output is correct
18 Correct 14 ms 1664 KB Output is correct
19 Correct 18 ms 1792 KB Output is correct
20 Correct 3 ms 1408 KB Output is correct
21 Correct 5 ms 1496 KB Output is correct
22 Correct 5 ms 1408 KB Output is correct
23 Correct 5 ms 1408 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 0 ms 256 KB Output is correct
26 Correct 1 ms 256 KB Output is correct
27 Correct 1 ms 512 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 13 ms 1664 KB Output is correct
18 Correct 14 ms 1664 KB Output is correct
19 Correct 18 ms 1792 KB Output is correct
20 Correct 3 ms 1408 KB Output is correct
21 Correct 5 ms 1496 KB Output is correct
22 Correct 5 ms 1408 KB Output is correct
23 Correct 5 ms 1408 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 122 ms 8988 KB Output is correct
26 Correct 122 ms 8824 KB Output is correct
27 Correct 129 ms 8824 KB Output is correct
28 Correct 21 ms 6656 KB Output is correct
29 Correct 29 ms 7160 KB Output is correct
30 Correct 32 ms 7160 KB Output is correct
31 Correct 37 ms 7160 KB Output is correct
32 Correct 34 ms 7160 KB Output is correct
33 Correct 0 ms 256 KB Output is correct
34 Correct 1 ms 256 KB Output is correct
35 Correct 1 ms 512 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 13 ms 1664 KB Output is correct
18 Correct 14 ms 1664 KB Output is correct
19 Correct 18 ms 1792 KB Output is correct
20 Correct 3 ms 1408 KB Output is correct
21 Correct 5 ms 1496 KB Output is correct
22 Correct 5 ms 1408 KB Output is correct
23 Correct 5 ms 1408 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 122 ms 8988 KB Output is correct
26 Correct 122 ms 8824 KB Output is correct
27 Correct 129 ms 8824 KB Output is correct
28 Correct 21 ms 6656 KB Output is correct
29 Correct 29 ms 7160 KB Output is correct
30 Correct 32 ms 7160 KB Output is correct
31 Correct 37 ms 7160 KB Output is correct
32 Correct 34 ms 7160 KB Output is correct
33 Correct 135 ms 73720 KB Output is correct
34 Correct 134 ms 73720 KB Output is correct
35 Correct 134 ms 73784 KB Output is correct
36 Correct 131 ms 73832 KB Output is correct
37 Correct 2643 ms 104312 KB Output is correct
38 Correct 2655 ms 104164 KB Output is correct
39 Correct 2652 ms 104296 KB Output is correct
40 Correct 2521 ms 97412 KB Output is correct
41 Correct 236 ms 74872 KB Output is correct
42 Correct 291 ms 76668 KB Output is correct
43 Correct 469 ms 84088 KB Output is correct
44 Correct 469 ms 84064 KB Output is correct
45 Correct 204 ms 42360 KB Output is correct
46 Correct 223 ms 42196 KB Output is correct
47 Correct 623 ms 84088 KB Output is correct
48 Correct 611 ms 84088 KB Output is correct
49 Correct 0 ms 256 KB Output is correct
50 Correct 1 ms 256 KB Output is correct
51 Correct 1 ms 512 KB Output is correct
52 Correct 1 ms 384 KB Output is correct
53 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 1440 KB Output is correct
2 Correct 4 ms 1280 KB Output is correct
3 Correct 2 ms 1280 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 3 ms 1280 KB Output is correct
6 Correct 3 ms 1280 KB Output is correct
7 Correct 3 ms 1280 KB Output is correct
8 Correct 2 ms 1280 KB Output is correct
9 Correct 3 ms 1280 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 2 ms 896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1380 ms 434296 KB Output is correct
3 Correct 3024 ms 942516 KB Output is correct
4 Correct 3028 ms 950972 KB Output is correct
5 Correct 3063 ms 951428 KB Output is correct
6 Correct 836 ms 464072 KB Output is correct
7 Correct 1533 ms 878328 KB Output is correct
8 Correct 1627 ms 935804 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 1 ms 256 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Correct 1 ms 512 KB Output is correct
6 Correct 1 ms 512 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 512 KB Output is correct
11 Correct 1 ms 512 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 256 KB Output is correct
17 Correct 13 ms 1664 KB Output is correct
18 Correct 14 ms 1664 KB Output is correct
19 Correct 18 ms 1792 KB Output is correct
20 Correct 3 ms 1408 KB Output is correct
21 Correct 5 ms 1496 KB Output is correct
22 Correct 5 ms 1408 KB Output is correct
23 Correct 5 ms 1408 KB Output is correct
24 Correct 3 ms 896 KB Output is correct
25 Correct 122 ms 8988 KB Output is correct
26 Correct 122 ms 8824 KB Output is correct
27 Correct 129 ms 8824 KB Output is correct
28 Correct 21 ms 6656 KB Output is correct
29 Correct 29 ms 7160 KB Output is correct
30 Correct 32 ms 7160 KB Output is correct
31 Correct 37 ms 7160 KB Output is correct
32 Correct 34 ms 7160 KB Output is correct
33 Correct 135 ms 73720 KB Output is correct
34 Correct 134 ms 73720 KB Output is correct
35 Correct 134 ms 73784 KB Output is correct
36 Correct 131 ms 73832 KB Output is correct
37 Correct 2643 ms 104312 KB Output is correct
38 Correct 2655 ms 104164 KB Output is correct
39 Correct 2652 ms 104296 KB Output is correct
40 Correct 2521 ms 97412 KB Output is correct
41 Correct 236 ms 74872 KB Output is correct
42 Correct 291 ms 76668 KB Output is correct
43 Correct 469 ms 84088 KB Output is correct
44 Correct 469 ms 84064 KB Output is correct
45 Correct 204 ms 42360 KB Output is correct
46 Correct 223 ms 42196 KB Output is correct
47 Correct 623 ms 84088 KB Output is correct
48 Correct 611 ms 84088 KB Output is correct
49 Correct 4 ms 1440 KB Output is correct
50 Correct 4 ms 1280 KB Output is correct
51 Correct 2 ms 1280 KB Output is correct
52 Correct 0 ms 256 KB Output is correct
53 Correct 3 ms 1280 KB Output is correct
54 Correct 3 ms 1280 KB Output is correct
55 Correct 3 ms 1280 KB Output is correct
56 Correct 2 ms 1280 KB Output is correct
57 Correct 3 ms 1280 KB Output is correct
58 Correct 1 ms 512 KB Output is correct
59 Correct 2 ms 896 KB Output is correct
60 Correct 0 ms 384 KB Output is correct
61 Correct 1380 ms 434296 KB Output is correct
62 Correct 3024 ms 942516 KB Output is correct
63 Correct 3028 ms 950972 KB Output is correct
64 Correct 3063 ms 951428 KB Output is correct
65 Correct 836 ms 464072 KB Output is correct
66 Correct 1533 ms 878328 KB Output is correct
67 Correct 1627 ms 935804 KB Output is correct
68 Correct 1762 ms 931724 KB Output is correct
69 Correct 1782 ms 931800 KB Output is correct
70 Correct 1762 ms 931856 KB Output is correct
71 Correct 1787 ms 931960 KB Output is correct
72 Execution timed out 5146 ms 952936 KB Time limit exceeded
73 Halted 0 ms 0 KB -