Submission #860088

# Submission time Handle Problem Language Result Execution time Memory
860088 2023-10-11T15:19:13 Z sunwukong123 Rectangles (IOI19_rect) C++14
72 / 100
5000 ms 1048576 KB
#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
void debug_out() {cerr<<endl;}
template <typename Head, typename... Tail>
void debug_out(Head _H, Tail... _T) {cerr<<" "<<to_string(_H);debug_out(_T...);}
#define debug(...) cerr<<"["<<#__VA_ARGS__<<"]:",debug_out(__VA_ARGS__)
#pragma GCC target optimize("O3")
const int MAXN = 2505;
const int inf=1000000500ll;
const long long oo =1000000000000000500ll;
const int MOD = (int)1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef pair<int,int> pi; 
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
int n,m;
long long ans;
struct fenw {
	int fw[MAXN];
	void update(int x, int nval){
		for(;x<MAXN;x+=x&-x)fw[x]+=nval;
	}
	int point(int x){
		int res=0;
		for(;x;x-=x&-x)res+=fw[x];
		return res;
	}
}fw;
vector<int> vxi[MAXN][MAXN];
vector<int> vyi[MAXN][MAXN];
vector<pi> H[MAXN][MAXN];
vector<pi> V[MAXN][MAXN];
struct hash_pair {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
    size_t operator()(pair<uint64_t,uint64_t> x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x.first + FIXED_RANDOM)^(splitmix64(x.second + FIXED_RANDOM) >> 1);
    }
};

long long count_rectangles(std::vector<std::vector<int> > A) {
	n=A.size();
	m=A[0].size();
	for(int i=1;i<=n;i++){
		vector<pi> E;
		for(int j=1;j<=m;j++){
			E.push_back({A[i-1][j-1],j});
		}
		sort(E.begin(),E.end(),greater<pi>());
		
		set<int> s;
		vector<int> lazy;
		int pre=-1;
		unordered_set<pi,hash_pair> st;
		for(auto x:E){
			if(x.first!=pre){
				for(auto y:lazy){
					s.insert(y);
				}
				lazy.clear();
			}
			//debug(x.first,x.second);
			auto it=s.lower_bound(x.second);
			if(it == s.begin() || it==s.end());
			else {
				int L=*prev(it);
				int R=*it;
				st.insert({L+1,R-1});
				
			}
			lazy.push_back(x.second);
			pre=x.first;
		}
		for(auto x:st){
			int L=x.first;
			int R=x.second;
			vyi[L][R].push_back(i);
		}
	}

	for(int i=1;i<=m;i++){
		vector<pi> E;
		for(int j=1;j<=n;j++){
			E.push_back({A[j-1][i-1],j});
		}
		sort(E.begin(),E.end(),greater<pi>());
		set<int> s;
		vector<int> lazy;
		int pre=-1;
		unordered_set<pi,hash_pair> st;
		for(auto x:E){
			if(x.first!=pre){
				for(auto y:lazy){
					s.insert(y);
				}
				lazy.clear();
			}
			//debug(x.first,x.second);
			auto it=s.lower_bound(x.second);
			if(it == s.begin() || it==s.end());
			else {
				int L=*prev(it);
				int R=*it;
				//vxi[L][R].push_back(i);
				st.insert({L+1,R-1});
			}
			lazy.push_back(x.second);
			pre=x.first;
		}
		for(auto x:st){
			int L=x.first;
			int R=x.second;
			vxi[L][R].push_back(i);
		}
	}
	for(int i=1;i<=n;i++){
		for(int j=i;j<=n;j++){
			int st=0;

			for(int k=0;k<(int)vxi[i][j].size();k++){
				//debug(i,j,k,vxi[i][j][k]);
				int col=vxi[i][j][k];
				V[j][col].push_back({i,vxi[i][j][st]});
				
				if(k==((int)vxi[i][j].size()-1) || vxi[i][j][k]+1!=vxi[i][j][k+1]){

					st=k+1;
				} else{
				
				}
			}
		}
	}
	for(int i=1;i<=m;i++){
		for(int j=i;j<=m;j++){
			int st=0;
			for(int k=0;k<(int)vyi[i][j].size();k++){
				int row=vyi[i][j][k];
				H[row][j].push_back({vyi[i][j][st],i});
				if(k==((int)vyi[i][j].size()-1) || vyi[i][j][k]+1!=vyi[i][j][k+1]){

					st=k+1;
				} else{
					
				}
			}
		}
	}
	for(int i=2;i<=n-1;i++){
		for(int j=2;j<=m-1;j++){
			// try this guy as the bottom right corner
			sort(H[i][j].begin(),H[i][j].end(),[](pi x, pi y) { return x.second>y.second; });
			sort(V[i][j].begin(),V[i][j].end(),[](pi x, pi y) { return x.second>y.second; });
			

			int idx=0;

			for(int k=0;k<(int)V[i][j].size();k++){
				while(idx<(int)H[i][j].size() && H[i][j][idx].second >= V[i][j][k].second) {
					fw.update(H[i][j][idx].first,1);
					++idx;
				}

				ans+=fw.point(V[i][j][k].first);
			}
			for(int k=0;k<idx;k++){
				fw.update(H[i][j][k].first,-1);
			}
		}
	}
	return ans;
}

Compilation message

rect.cpp:8:20: warning: '#pragma GCC option' is not a string [-Wpragmas]
    8 | #pragma GCC target optimize("O3")
      |                    ^~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 127 ms 589652 KB Output is correct
2 Correct 126 ms 589908 KB Output is correct
3 Correct 129 ms 589868 KB Output is correct
4 Correct 126 ms 589800 KB Output is correct
5 Correct 130 ms 589944 KB Output is correct
6 Correct 128 ms 589760 KB Output is correct
7 Correct 125 ms 589760 KB Output is correct
8 Correct 129 ms 589648 KB Output is correct
9 Correct 132 ms 589748 KB Output is correct
10 Correct 127 ms 589908 KB Output is correct
11 Correct 125 ms 589736 KB Output is correct
12 Correct 124 ms 589904 KB Output is correct
13 Correct 127 ms 589648 KB Output is correct
14 Correct 130 ms 589652 KB Output is correct
15 Correct 128 ms 589684 KB Output is correct
16 Correct 130 ms 589656 KB Output is correct
17 Correct 126 ms 589648 KB Output is correct
18 Correct 125 ms 589648 KB Output is correct
19 Correct 127 ms 589700 KB Output is correct
20 Correct 128 ms 589672 KB Output is correct
21 Correct 130 ms 589760 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 127 ms 589652 KB Output is correct
2 Correct 126 ms 589908 KB Output is correct
3 Correct 129 ms 589868 KB Output is correct
4 Correct 126 ms 589800 KB Output is correct
5 Correct 130 ms 589944 KB Output is correct
6 Correct 128 ms 589760 KB Output is correct
7 Correct 125 ms 589760 KB Output is correct
8 Correct 129 ms 589648 KB Output is correct
9 Correct 132 ms 589748 KB Output is correct
10 Correct 127 ms 589908 KB Output is correct
11 Correct 125 ms 589736 KB Output is correct
12 Correct 124 ms 589904 KB Output is correct
13 Correct 127 ms 589648 KB Output is correct
14 Correct 130 ms 589652 KB Output is correct
15 Correct 128 ms 589684 KB Output is correct
16 Correct 130 ms 589656 KB Output is correct
17 Correct 126 ms 589648 KB Output is correct
18 Correct 125 ms 589648 KB Output is correct
19 Correct 127 ms 589700 KB Output is correct
20 Correct 128 ms 589672 KB Output is correct
21 Correct 130 ms 589760 KB Output is correct
22 Correct 127 ms 590176 KB Output is correct
23 Correct 132 ms 590176 KB Output is correct
24 Correct 128 ms 590164 KB Output is correct
25 Correct 128 ms 589908 KB Output is correct
26 Correct 137 ms 590160 KB Output is correct
27 Correct 133 ms 590248 KB Output is correct
28 Correct 128 ms 590160 KB Output is correct
29 Correct 126 ms 589908 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 127 ms 589652 KB Output is correct
2 Correct 126 ms 589908 KB Output is correct
3 Correct 129 ms 589868 KB Output is correct
4 Correct 126 ms 589800 KB Output is correct
5 Correct 130 ms 589944 KB Output is correct
6 Correct 128 ms 589760 KB Output is correct
7 Correct 125 ms 589760 KB Output is correct
8 Correct 129 ms 589648 KB Output is correct
9 Correct 132 ms 589748 KB Output is correct
10 Correct 127 ms 589908 KB Output is correct
11 Correct 125 ms 589736 KB Output is correct
12 Correct 124 ms 589904 KB Output is correct
13 Correct 127 ms 589648 KB Output is correct
14 Correct 130 ms 589652 KB Output is correct
15 Correct 128 ms 589684 KB Output is correct
16 Correct 130 ms 589656 KB Output is correct
17 Correct 127 ms 590176 KB Output is correct
18 Correct 132 ms 590176 KB Output is correct
19 Correct 128 ms 590164 KB Output is correct
20 Correct 128 ms 589908 KB Output is correct
21 Correct 137 ms 590160 KB Output is correct
22 Correct 133 ms 590248 KB Output is correct
23 Correct 128 ms 590160 KB Output is correct
24 Correct 126 ms 589908 KB Output is correct
25 Correct 126 ms 589648 KB Output is correct
26 Correct 125 ms 589648 KB Output is correct
27 Correct 127 ms 589700 KB Output is correct
28 Correct 128 ms 589672 KB Output is correct
29 Correct 130 ms 589760 KB Output is correct
30 Correct 145 ms 591440 KB Output is correct
31 Correct 146 ms 591660 KB Output is correct
32 Correct 148 ms 591620 KB Output is correct
33 Correct 143 ms 591184 KB Output is correct
34 Correct 160 ms 592268 KB Output is correct
35 Correct 163 ms 592464 KB Output is correct
36 Correct 155 ms 592212 KB Output is correct
37 Correct 169 ms 592208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 127 ms 589652 KB Output is correct
2 Correct 126 ms 589908 KB Output is correct
3 Correct 129 ms 589868 KB Output is correct
4 Correct 126 ms 589800 KB Output is correct
5 Correct 130 ms 589944 KB Output is correct
6 Correct 128 ms 589760 KB Output is correct
7 Correct 125 ms 589760 KB Output is correct
8 Correct 129 ms 589648 KB Output is correct
9 Correct 132 ms 589748 KB Output is correct
10 Correct 127 ms 589908 KB Output is correct
11 Correct 125 ms 589736 KB Output is correct
12 Correct 124 ms 589904 KB Output is correct
13 Correct 127 ms 589648 KB Output is correct
14 Correct 130 ms 589652 KB Output is correct
15 Correct 128 ms 589684 KB Output is correct
16 Correct 130 ms 589656 KB Output is correct
17 Correct 127 ms 590176 KB Output is correct
18 Correct 132 ms 590176 KB Output is correct
19 Correct 128 ms 590164 KB Output is correct
20 Correct 128 ms 589908 KB Output is correct
21 Correct 137 ms 590160 KB Output is correct
22 Correct 133 ms 590248 KB Output is correct
23 Correct 128 ms 590160 KB Output is correct
24 Correct 126 ms 589908 KB Output is correct
25 Correct 145 ms 591440 KB Output is correct
26 Correct 146 ms 591660 KB Output is correct
27 Correct 148 ms 591620 KB Output is correct
28 Correct 143 ms 591184 KB Output is correct
29 Correct 160 ms 592268 KB Output is correct
30 Correct 163 ms 592464 KB Output is correct
31 Correct 155 ms 592212 KB Output is correct
32 Correct 169 ms 592208 KB Output is correct
33 Correct 126 ms 589648 KB Output is correct
34 Correct 125 ms 589648 KB Output is correct
35 Correct 127 ms 589700 KB Output is correct
36 Correct 128 ms 589672 KB Output is correct
37 Correct 130 ms 589760 KB Output is correct
38 Correct 418 ms 617804 KB Output is correct
39 Correct 421 ms 622704 KB Output is correct
40 Correct 447 ms 622672 KB Output is correct
41 Correct 415 ms 627460 KB Output is correct
42 Correct 428 ms 613924 KB Output is correct
43 Correct 433 ms 613968 KB Output is correct
44 Correct 430 ms 614168 KB Output is correct
45 Correct 398 ms 613204 KB Output is correct
46 Correct 319 ms 603936 KB Output is correct
47 Correct 368 ms 607312 KB Output is correct
48 Correct 603 ms 619700 KB Output is correct
49 Correct 571 ms 622140 KB Output is correct
50 Correct 334 ms 606036 KB Output is correct
51 Correct 354 ms 605904 KB Output is correct
52 Correct 534 ms 618388 KB Output is correct
53 Correct 563 ms 619344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 132 ms 590136 KB Output is correct
2 Correct 131 ms 590160 KB Output is correct
3 Correct 132 ms 589908 KB Output is correct
4 Correct 125 ms 589828 KB Output is correct
5 Correct 148 ms 590688 KB Output is correct
6 Correct 138 ms 590420 KB Output is correct
7 Correct 139 ms 590416 KB Output is correct
8 Correct 136 ms 590164 KB Output is correct
9 Correct 135 ms 590164 KB Output is correct
10 Correct 133 ms 590088 KB Output is correct
11 Correct 136 ms 590160 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 126 ms 589648 KB Output is correct
2 Correct 125 ms 589648 KB Output is correct
3 Correct 127 ms 589700 KB Output is correct
4 Correct 128 ms 589672 KB Output is correct
5 Correct 130 ms 589760 KB Output is correct
6 Correct 124 ms 589652 KB Output is correct
7 Correct 1258 ms 672440 KB Output is correct
8 Correct 2731 ms 768604 KB Output is correct
9 Correct 2679 ms 769756 KB Output is correct
10 Correct 2618 ms 769836 KB Output is correct
11 Correct 327 ms 620116 KB Output is correct
12 Correct 479 ms 647688 KB Output is correct
13 Correct 487 ms 651092 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 127 ms 589652 KB Output is correct
2 Correct 126 ms 589908 KB Output is correct
3 Correct 129 ms 589868 KB Output is correct
4 Correct 126 ms 589800 KB Output is correct
5 Correct 130 ms 589944 KB Output is correct
6 Correct 128 ms 589760 KB Output is correct
7 Correct 125 ms 589760 KB Output is correct
8 Correct 129 ms 589648 KB Output is correct
9 Correct 132 ms 589748 KB Output is correct
10 Correct 127 ms 589908 KB Output is correct
11 Correct 125 ms 589736 KB Output is correct
12 Correct 124 ms 589904 KB Output is correct
13 Correct 127 ms 589648 KB Output is correct
14 Correct 130 ms 589652 KB Output is correct
15 Correct 128 ms 589684 KB Output is correct
16 Correct 130 ms 589656 KB Output is correct
17 Correct 127 ms 590176 KB Output is correct
18 Correct 132 ms 590176 KB Output is correct
19 Correct 128 ms 590164 KB Output is correct
20 Correct 128 ms 589908 KB Output is correct
21 Correct 137 ms 590160 KB Output is correct
22 Correct 133 ms 590248 KB Output is correct
23 Correct 128 ms 590160 KB Output is correct
24 Correct 126 ms 589908 KB Output is correct
25 Correct 145 ms 591440 KB Output is correct
26 Correct 146 ms 591660 KB Output is correct
27 Correct 148 ms 591620 KB Output is correct
28 Correct 143 ms 591184 KB Output is correct
29 Correct 160 ms 592268 KB Output is correct
30 Correct 163 ms 592464 KB Output is correct
31 Correct 155 ms 592212 KB Output is correct
32 Correct 169 ms 592208 KB Output is correct
33 Correct 418 ms 617804 KB Output is correct
34 Correct 421 ms 622704 KB Output is correct
35 Correct 447 ms 622672 KB Output is correct
36 Correct 415 ms 627460 KB Output is correct
37 Correct 428 ms 613924 KB Output is correct
38 Correct 433 ms 613968 KB Output is correct
39 Correct 430 ms 614168 KB Output is correct
40 Correct 398 ms 613204 KB Output is correct
41 Correct 319 ms 603936 KB Output is correct
42 Correct 368 ms 607312 KB Output is correct
43 Correct 603 ms 619700 KB Output is correct
44 Correct 571 ms 622140 KB Output is correct
45 Correct 334 ms 606036 KB Output is correct
46 Correct 354 ms 605904 KB Output is correct
47 Correct 534 ms 618388 KB Output is correct
48 Correct 563 ms 619344 KB Output is correct
49 Correct 132 ms 590136 KB Output is correct
50 Correct 131 ms 590160 KB Output is correct
51 Correct 132 ms 589908 KB Output is correct
52 Correct 125 ms 589828 KB Output is correct
53 Correct 148 ms 590688 KB Output is correct
54 Correct 138 ms 590420 KB Output is correct
55 Correct 139 ms 590416 KB Output is correct
56 Correct 136 ms 590164 KB Output is correct
57 Correct 135 ms 590164 KB Output is correct
58 Correct 133 ms 590088 KB Output is correct
59 Correct 136 ms 590160 KB Output is correct
60 Correct 124 ms 589652 KB Output is correct
61 Correct 1258 ms 672440 KB Output is correct
62 Correct 2731 ms 768604 KB Output is correct
63 Correct 2679 ms 769756 KB Output is correct
64 Correct 2618 ms 769836 KB Output is correct
65 Correct 327 ms 620116 KB Output is correct
66 Correct 479 ms 647688 KB Output is correct
67 Correct 487 ms 651092 KB Output is correct
68 Correct 126 ms 589648 KB Output is correct
69 Correct 125 ms 589648 KB Output is correct
70 Correct 127 ms 589700 KB Output is correct
71 Correct 128 ms 589672 KB Output is correct
72 Correct 130 ms 589760 KB Output is correct
73 Correct 4359 ms 948304 KB Output is correct
74 Correct 4270 ms 1012260 KB Output is correct
75 Correct 4304 ms 1012280 KB Output is correct
76 Correct 3923 ms 1048576 KB Output is correct
77 Correct 4455 ms 899320 KB Output is correct
78 Correct 4607 ms 817020 KB Output is correct
79 Correct 4708 ms 841488 KB Output is correct
80 Execution timed out 5065 ms 721340 KB Time limit exceeded
81 Halted 0 ms 0 KB -