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Submission #1034906

# Submission time Handle Problem Language Result Execution time Memory
1034906 2024-07-25T20:57:13 Z amirhoseinfar1385 Rectangles (IOI19_rect) C++17
100 / 100
 2906 ms 873636 KB 
#include "rect.h"
#include<bits/stdc++.h>
using namespace std;
const int maxn=2500+10;
int all[maxn][maxn],n,m,dpp[maxn][maxn];
vector<int>alll[maxn][maxn];
vector<pair<int,int>>allq[maxn][maxn];
vector<pair<int,int>>addy[maxn];
long long mainres=0;

struct fenwick{
	int fn[maxn];
	vector<int>allind;
	void clear(){
		for(auto x:allind){
			while(x<maxn){
				fn[x]=0;
				x+=((-x)&x);
			}
		}
		allind.shrink_to_fit();
		allind.clear();
	}
	void add(int i,int w){
		i++;
		allind.push_back(i);
		while(i<maxn){
			fn[i]+=w;
			i+=((-i)&i);
		}
	}
	int pors(int l,int r){
		int ret=0;
		r++;
		while(l>0){
			ret-=fn[l];
			l-=((-l)&l);
		}
		while(r>0){
			ret+=fn[r];
			r-=((-r)&r);
		}
		return ret;
	}
}fen;

void solveq(int i,int j){
	sort(addy[i].begin(),addy[i].end());
	sort(allq[i][j].begin(),allq[i][j].end());
	while((int)addy[i].size()>0&&(int)allq[i][j].size()>0){
		if(addy[i].back().first>=allq[i][j].back().first){
			fen.add(addy[i].back().second,1);
			addy[i].pop_back();
		}else{
			mainres+=fen.pors(allq[i][j].back().second,j-2);
			allq[i][j].pop_back();
		}
	}
	while((int)allq[i][j].size()>0){
		mainres+=fen.pors(allq[i][j].back().second,j-2);
		allq[i][j].pop_back();
	}
	fen.clear();
}


void calq(){
	for(int j=1;j<=m;j++){
		vector<pair<int,int>>allv;
		for(int i=n;i>=1;i--){
			while((int)allv.size()>0&&allv.back().first<all[i][j]){
				alll[i][j].push_back(allv.back().second);
				allv.pop_back();
			}
			if((int)allv.size()>0){
				alll[i][j].push_back(allv.back().second);
			}
			if((int)allv.size()>0&&allv.back().first==all[i][j]){
				allv.pop_back();
			}
			allv.push_back(make_pair(all[i][j],i));
		}
	}
	for(int i=1;i<=n;i++){
		for(int j=1;j<=m;j++){
			for(auto x:alll[i][j]){
				if(x<=i+1){
					continue;
				}
				dpp[x][j]=dpp[x][j-1]+1;
				allq[i+1][j+1].push_back(make_pair((x-i-1),j-dpp[x][j]));
			}
		}
		for(int j=1;j<=m;j++){
			for(auto x:alll[i][j]){
				if(x<=i+1){
					continue;
				}
				dpp[x][j]=0;
			}
		}
	}
	for(int i=1;i<=n;i++){
		for(int j=1;j<=m;j++){
			alll[i][j].clear();
		}
	}



	for(int i=1;i<=n;i++){
		vector<pair<int,int>>allv;
		for(int j=1;j<=m;j++){
			while((int)allv.size()>0&&allv.back().first<all[i][j]){
				alll[i][j].push_back(allv.back().second);
				allv.pop_back();
			}
			if((int)allv.size()>0){
				alll[i][j].push_back(allv.back().second);
			}
			if((int)allv.size()>0&&allv.back().first==all[i][j]){
				allv.pop_back();
			}
			allv.push_back(make_pair(all[i][j],j));
		}
	}


	for(int j=1;j<=m;j++){
		for(int i=n;i>=1;i--){
			for(auto x:alll[i][j]){
				if(x+1>=j){
					continue;
				}
				dpp[i][x]=dpp[i+1][x]+1;
				addy[i].push_back(make_pair(dpp[i][x],x));
			}
			solveq(i,j);
		}
		for(int i=n;i>=1;i--){
			for(auto x:alll[i][j]){
				if(x+1>=j){
					continue;
				}
				dpp[i][x]=0;
			}
			addy[i].clear();
			allq[i][j].clear();
			addy[i].shrink_to_fit();
			allq[i][j].shrink_to_fit();
		}
	}
}

void solve(){
	calq();
}
long long count_rectangles(std::vector<std::vector<int> > a) {
	n=a.size();
	m=a[0].size();
	for(int i=1;i<=n;i++){
		for(int j=1;j<=m;j++){
			all[i][j]=a[i-1][j-1];
		}
	}
	solve();
	return mainres;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 296272 KB Output is correct
2 Correct 114 ms 296496 KB Output is correct
3 Correct 114 ms 296528 KB Output is correct
4 Correct 109 ms 296540 KB Output is correct
5 Correct 111 ms 296528 KB Output is correct
6 Correct 112 ms 296472 KB Output is correct
7 Correct 140 ms 296532 KB Output is correct
8 Correct 110 ms 296276 KB Output is correct
9 Correct 112 ms 296692 KB Output is correct
10 Correct 135 ms 296564 KB Output is correct
11 Correct 119 ms 296548 KB Output is correct
12 Correct 110 ms 296532 KB Output is correct
13 Correct 112 ms 296200 KB Output is correct
14 Correct 111 ms 296392 KB Output is correct
15 Correct 109 ms 296276 KB Output is correct
16 Correct 109 ms 296276 KB Output is correct
17 Correct 107 ms 296276 KB Output is correct
18 Correct 109 ms 296148 KB Output is correct
19 Correct 105 ms 296528 KB Output is correct
20 Correct 106 ms 296532 KB Output is correct
21 Correct 116 ms 296276 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 296272 KB Output is correct
2 Correct 114 ms 296496 KB Output is correct
3 Correct 114 ms 296528 KB Output is correct
4 Correct 109 ms 296540 KB Output is correct
5 Correct 111 ms 296528 KB Output is correct
6 Correct 112 ms 296472 KB Output is correct
7 Correct 140 ms 296532 KB Output is correct
8 Correct 110 ms 296276 KB Output is correct
9 Correct 112 ms 296692 KB Output is correct
10 Correct 135 ms 296564 KB Output is correct
11 Correct 119 ms 296548 KB Output is correct
12 Correct 110 ms 296532 KB Output is correct
13 Correct 112 ms 296200 KB Output is correct
14 Correct 111 ms 296392 KB Output is correct
15 Correct 109 ms 296276 KB Output is correct
16 Correct 109 ms 296276 KB Output is correct
17 Correct 107 ms 296276 KB Output is correct
18 Correct 109 ms 296148 KB Output is correct
19 Correct 105 ms 296528 KB Output is correct
20 Correct 106 ms 296532 KB Output is correct
21 Correct 116 ms 296276 KB Output is correct
22 Correct 112 ms 297508 KB Output is correct
23 Correct 131 ms 297552 KB Output is correct
24 Correct 161 ms 297560 KB Output is correct
25 Correct 138 ms 297300 KB Output is correct
26 Correct 108 ms 297368 KB Output is correct
27 Correct 109 ms 297444 KB Output is correct
28 Correct 118 ms 297300 KB Output is correct
29 Correct 182 ms 297164 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 296272 KB Output is correct
2 Correct 114 ms 296496 KB Output is correct
3 Correct 114 ms 296528 KB Output is correct
4 Correct 109 ms 296540 KB Output is correct
5 Correct 111 ms 296528 KB Output is correct
6 Correct 112 ms 296472 KB Output is correct
7 Correct 140 ms 296532 KB Output is correct
8 Correct 110 ms 296276 KB Output is correct
9 Correct 112 ms 296692 KB Output is correct
10 Correct 135 ms 296564 KB Output is correct
11 Correct 119 ms 296548 KB Output is correct
12 Correct 110 ms 296532 KB Output is correct
13 Correct 112 ms 296200 KB Output is correct
14 Correct 111 ms 296392 KB Output is correct
15 Correct 109 ms 296276 KB Output is correct
16 Correct 109 ms 296276 KB Output is correct
17 Correct 112 ms 297508 KB Output is correct
18 Correct 131 ms 297552 KB Output is correct
19 Correct 161 ms 297560 KB Output is correct
20 Correct 138 ms 297300 KB Output is correct
21 Correct 108 ms 297368 KB Output is correct
22 Correct 109 ms 297444 KB Output is correct
23 Correct 118 ms 297300 KB Output is correct
24 Correct 182 ms 297164 KB Output is correct
25 Correct 107 ms 296276 KB Output is correct
26 Correct 109 ms 296148 KB Output is correct
27 Correct 105 ms 296528 KB Output is correct
28 Correct 106 ms 296532 KB Output is correct
29 Correct 116 ms 296276 KB Output is correct
30 Correct 112 ms 301136 KB Output is correct
31 Correct 109 ms 301076 KB Output is correct
32 Correct 118 ms 301140 KB Output is correct
33 Correct 112 ms 300116 KB Output is correct
34 Correct 119 ms 300624 KB Output is correct
35 Correct 127 ms 300624 KB Output is correct
36 Correct 123 ms 300572 KB Output is correct
37 Correct 119 ms 300508 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 296272 KB Output is correct
2 Correct 114 ms 296496 KB Output is correct
3 Correct 114 ms 296528 KB Output is correct
4 Correct 109 ms 296540 KB Output is correct
5 Correct 111 ms 296528 KB Output is correct
6 Correct 112 ms 296472 KB Output is correct
7 Correct 140 ms 296532 KB Output is correct
8 Correct 110 ms 296276 KB Output is correct
9 Correct 112 ms 296692 KB Output is correct
10 Correct 135 ms 296564 KB Output is correct
11 Correct 119 ms 296548 KB Output is correct
12 Correct 110 ms 296532 KB Output is correct
13 Correct 112 ms 296200 KB Output is correct
14 Correct 111 ms 296392 KB Output is correct
15 Correct 109 ms 296276 KB Output is correct
16 Correct 109 ms 296276 KB Output is correct
17 Correct 112 ms 297508 KB Output is correct
18 Correct 131 ms 297552 KB Output is correct
19 Correct 161 ms 297560 KB Output is correct
20 Correct 138 ms 297300 KB Output is correct
21 Correct 108 ms 297368 KB Output is correct
22 Correct 109 ms 297444 KB Output is correct
23 Correct 118 ms 297300 KB Output is correct
24 Correct 182 ms 297164 KB Output is correct
25 Correct 112 ms 301136 KB Output is correct
26 Correct 109 ms 301076 KB Output is correct
27 Correct 118 ms 301140 KB Output is correct
28 Correct 112 ms 300116 KB Output is correct
29 Correct 119 ms 300624 KB Output is correct
30 Correct 127 ms 300624 KB Output is correct
31 Correct 123 ms 300572 KB Output is correct
32 Correct 119 ms 300508 KB Output is correct
33 Correct 107 ms 296276 KB Output is correct
34 Correct 109 ms 296148 KB Output is correct
35 Correct 105 ms 296528 KB Output is correct
36 Correct 106 ms 296532 KB Output is correct
37 Correct 116 ms 296276 KB Output is correct
38 Correct 191 ms 333140 KB Output is correct
39 Correct 192 ms 330740 KB Output is correct
40 Correct 181 ms 330580 KB Output is correct
41 Correct 177 ms 328276 KB Output is correct
42 Correct 209 ms 343116 KB Output is correct
43 Correct 220 ms 342964 KB Output is correct
44 Correct 212 ms 343124 KB Output is correct
45 Correct 210 ms 340056 KB Output is correct
46 Correct 191 ms 328788 KB Output is correct
47 Correct 203 ms 330132 KB Output is correct
48 Correct 255 ms 335184 KB Output is correct
49 Correct 261 ms 335440 KB Output is correct
50 Correct 184 ms 318548 KB Output is correct
51 Correct 188 ms 315728 KB Output is correct
52 Correct 256 ms 334672 KB Output is correct
53 Correct 289 ms 334708 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 296856 KB Output is correct
2 Correct 104 ms 296788 KB Output is correct
3 Correct 106 ms 296656 KB Output is correct
4 Correct 107 ms 296348 KB Output is correct
5 Correct 115 ms 296784 KB Output is correct
6 Correct 106 ms 296704 KB Output is correct
7 Correct 112 ms 296784 KB Output is correct
8 Correct 102 ms 296772 KB Output is correct
9 Correct 104 ms 296788 KB Output is correct
10 Correct 101 ms 296452 KB Output is correct
11 Correct 106 ms 296492 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 296276 KB Output is correct
2 Correct 109 ms 296148 KB Output is correct
3 Correct 105 ms 296528 KB Output is correct
4 Correct 106 ms 296532 KB Output is correct
5 Correct 116 ms 296276 KB Output is correct
6 Correct 102 ms 296384 KB Output is correct
7 Correct 753 ms 455252 KB Output is correct
8 Correct 1584 ms 637364 KB Output is correct
9 Correct 1593 ms 639056 KB Output is correct
10 Correct 1567 ms 639060 KB Output is correct
11 Correct 419 ms 429504 KB Output is correct
12 Correct 737 ms 550476 KB Output is correct
13 Correct 774 ms 565620 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 296272 KB Output is correct
2 Correct 114 ms 296496 KB Output is correct
3 Correct 114 ms 296528 KB Output is correct
4 Correct 109 ms 296540 KB Output is correct
5 Correct 111 ms 296528 KB Output is correct
6 Correct 112 ms 296472 KB Output is correct
7 Correct 140 ms 296532 KB Output is correct
8 Correct 110 ms 296276 KB Output is correct
9 Correct 112 ms 296692 KB Output is correct
10 Correct 135 ms 296564 KB Output is correct
11 Correct 119 ms 296548 KB Output is correct
12 Correct 110 ms 296532 KB Output is correct
13 Correct 112 ms 296200 KB Output is correct
14 Correct 111 ms 296392 KB Output is correct
15 Correct 109 ms 296276 KB Output is correct
16 Correct 109 ms 296276 KB Output is correct
17 Correct 112 ms 297508 KB Output is correct
18 Correct 131 ms 297552 KB Output is correct
19 Correct 161 ms 297560 KB Output is correct
20 Correct 138 ms 297300 KB Output is correct
21 Correct 108 ms 297368 KB Output is correct
22 Correct 109 ms 297444 KB Output is correct
23 Correct 118 ms 297300 KB Output is correct
24 Correct 182 ms 297164 KB Output is correct
25 Correct 112 ms 301136 KB Output is correct
26 Correct 109 ms 301076 KB Output is correct
27 Correct 118 ms 301140 KB Output is correct
28 Correct 112 ms 300116 KB Output is correct
29 Correct 119 ms 300624 KB Output is correct
30 Correct 127 ms 300624 KB Output is correct
31 Correct 123 ms 300572 KB Output is correct
32 Correct 119 ms 300508 KB Output is correct
33 Correct 191 ms 333140 KB Output is correct
34 Correct 192 ms 330740 KB Output is correct
35 Correct 181 ms 330580 KB Output is correct
36 Correct 177 ms 328276 KB Output is correct
37 Correct 209 ms 343116 KB Output is correct
38 Correct 220 ms 342964 KB Output is correct
39 Correct 212 ms 343124 KB Output is correct
40 Correct 210 ms 340056 KB Output is correct
41 Correct 191 ms 328788 KB Output is correct
42 Correct 203 ms 330132 KB Output is correct
43 Correct 255 ms 335184 KB Output is correct
44 Correct 261 ms 335440 KB Output is correct
45 Correct 184 ms 318548 KB Output is correct
46 Correct 188 ms 315728 KB Output is correct
47 Correct 256 ms 334672 KB Output is correct
48 Correct 289 ms 334708 KB Output is correct
49 Correct 108 ms 296856 KB Output is correct
50 Correct 104 ms 296788 KB Output is correct
51 Correct 106 ms 296656 KB Output is correct
52 Correct 107 ms 296348 KB Output is correct
53 Correct 115 ms 296784 KB Output is correct
54 Correct 106 ms 296704 KB Output is correct
55 Correct 112 ms 296784 KB Output is correct
56 Correct 102 ms 296772 KB Output is correct
57 Correct 104 ms 296788 KB Output is correct
58 Correct 101 ms 296452 KB Output is correct
59 Correct 106 ms 296492 KB Output is correct
60 Correct 102 ms 296384 KB Output is correct
61 Correct 753 ms 455252 KB Output is correct
62 Correct 1584 ms 637364 KB Output is correct
63 Correct 1593 ms 639056 KB Output is correct
64 Correct 1567 ms 639060 KB Output is correct
65 Correct 419 ms 429504 KB Output is correct
66 Correct 737 ms 550476 KB Output is correct
67 Correct 774 ms 565620 KB Output is correct
68 Correct 107 ms 296276 KB Output is correct
69 Correct 109 ms 296148 KB Output is correct
70 Correct 105 ms 296528 KB Output is correct
71 Correct 106 ms 296532 KB Output is correct
72 Correct 116 ms 296276 KB Output is correct
73 Correct 1577 ms 730340 KB Output is correct
74 Correct 1543 ms 673872 KB Output is correct
75 Correct 1159 ms 655844 KB Output is correct
76 Correct 1087 ms 633424 KB Output is correct
77 Correct 1572 ms 873568 KB Output is correct
78 Correct 1656 ms 566364 KB Output is correct
79 Correct 1755 ms 607336 KB Output is correct
80 Correct 2788 ms 746324 KB Output is correct
81 Correct 1640 ms 582260 KB Output is correct
82 Correct 2309 ms 687932 KB Output is correct
83 Correct 2906 ms 773400 KB Output is correct
84 Correct 1602 ms 569044 KB Output is correct
85 Correct 2705 ms 764396 KB Output is correct
86 Correct 2696 ms 751108 KB Output is correct
87 Correct 981 ms 658136 KB Output is correct
88 Correct 1562 ms 873160 KB Output is correct
89 Correct 1564 ms 873552 KB Output is correct
90 Correct 1586 ms 873636 KB Output is correct