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Submission #836514

# Submission time Handle Problem Language Result Execution time Memory
836514 2023-08-24T12:10:19 Z Rafi22 Rectangles (IOI19_rect) C++14
100 / 100
 4804 ms 496324 KB 
#include <bits/stdc++.h>
     
using namespace std;
     
#define ll long long 
#define ld long double
#define pb push_back
#define st first
#define nd second
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
int inf=1000000007;
ll infl=1000000000000000007;

const int N=2507,pot=1<<12;

vector<int>V[N][N];
int U[N][2*pot+7];
int D[N][2*pot+7];
int n,m;

int queU(int v,int a,int b,int l,int r,int i)
{
	if(a<=l&&b>=r) return U[i][v];
	if(r<a||l>b) return -1;
	return max(queU(2*v,a,b,l,(l+r)/2,i),queU(2*v+1,a,b,(l+r)/2+1,r,i));
}
int queD(int v,int a,int b,int l,int r,int i)
{
	if(a<=l&&b>=r) return D[i][v];
	if(r<a||l>b) return n;
	return min(queD(2*v,a,b,l,(l+r)/2,i),queD(2*v+1,a,b,(l+r)/2+1,r,i));
}

int BIT[N];

int que(int x) 
{
	int s=0;
	for (;x;x-=x&-x) s+=BIT[x];
	return s;
}
void ins(int x,int s) {
	for (;x<N;x+=x&-x) BIT[x]+=s;
}

bool alive[N];

     
ll count_rectangles(vector<vector<int>>a)
{
	ll ans=0;
	n=sz(a),m=sz(a[0]);
	for(int i=1;i<n-1;i++)
	{
		deque<pair<int,int>>Q;
		Q.pb({a[i][0],0});
		for(int j=1;j<m;j++)
		{
			while(sz(Q)>0&&Q.back().st<a[i][j]) Q.pop_back();
			if(sz(Q)>0) V[Q.back().nd+1][j-1].pb(i);
			Q.pb({a[i][j],j});
		}
		Q.clear();
		Q.pb({a[i][m-1],m-1});
		for(int j=m-2;j>=0;j--)
		{
			while(sz(Q)>0&&Q.back().st<a[i][j]) Q.pop_back();
			if(sz(Q)>0) V[j+1][Q.back().nd-1].pb(i);
			Q.pb({a[i][j],j});
		}
	}
	for(int i=0;i<n;i++)
	{
		 for(int j=1;j<2*pot;j++) 
		 {
			 U[i][j]=-1;
			 D[i][j]=n;
		 }
	}
	for(int j=0;j<m;j++)
	{
		deque<pair<int,int>>Q;
		Q.pb({a[0][j],0});
		for(int i=1;i<n;i++)
		{
			while(sz(Q)>0&&Q.back().st<a[i][j]) Q.pop_back();
			if(sz(Q)>0) U[i][j+pot]=Q.back().nd;
			Q.pb({a[i][j],i});
		}
		Q.clear();
		Q.pb({a[n-1][j],n-1});
		for(int i=n-2;i>=0;i--)
		{
			while(sz(Q)>0&&Q.back().st<a[i][j]) Q.pop_back();
			if(sz(Q)>0) D[i][j+pot]=Q.back().nd;;
			Q.pb({a[i][j],i});
		}
	}
	for(int i=0;i<n;i++)
	{
		for(int j=pot-1;j>0;j--)
		{
			U[i][j]=max(U[i][2*j],U[i][2*j+1]);
			D[i][j]=min(D[i][2*j],D[i][2*j+1]);
		}
	}
	for(int i=0;i<m;i++)
	{
		for(int j=i;j<m;j++)
		{
			if(sz(V[i][j])==0) continue;
			sort(all(V[i][j]));
			int l=-2,p=-1;
			priority_queue<pair<int,int>>Q;
			for(auto x:V[i][j]) 
			{
				if(x==l) continue;
				if(x!=l+1)
				{
					for(int y=p;y<l+1;y++)
					{
						if(alive[y])
						{
							ins(y+1,-1);
							alive[y]=0;
						}
					}
					p=x;
				}
				l=x;
				ins(x+1,1);
				alive[x]=1;
				Q.push({-queD(1,i+1,j+1,1,pot,x-1),x});
				while(sz(Q)>0&&-Q.top().st<=x)
				{
					if(alive[Q.top().nd])
					{
						ins(Q.top().nd+1,-1);
						alive[Q.top().nd]=0;
					}
					Q.pop();
				}
				ans+=(ll)que(x+1)-que(queU(1,i+1,j+1,1,pot,x+1)+1);
			}
			for(int y=p;y<l+1;y++)
			{
				if(alive[y])
				{
					ins(y+1,-1);
					alive[y]=0;
				}
			}
		}
	}
	return ans;
}
/*
int main()
{
	cout<<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}})<<endl;
	return 0;
}*/

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 148248 KB Output is correct
2 Correct 68 ms 149732 KB Output is correct
3 Correct 71 ms 149836 KB Output is correct
4 Correct 66 ms 149836 KB Output is correct
5 Correct 67 ms 149844 KB Output is correct
6 Correct 67 ms 149808 KB Output is correct
7 Correct 67 ms 149836 KB Output is correct
8 Correct 65 ms 148640 KB Output is correct
9 Correct 66 ms 149836 KB Output is correct
10 Correct 71 ms 149836 KB Output is correct
11 Correct 66 ms 149780 KB Output is correct
12 Correct 67 ms 149836 KB Output is correct
13 Correct 65 ms 147916 KB Output is correct
14 Correct 66 ms 148424 KB Output is correct
15 Correct 67 ms 148428 KB Output is correct
16 Correct 66 ms 148044 KB Output is correct
17 Correct 66 ms 147916 KB Output is correct
18 Correct 64 ms 147916 KB Output is correct
19 Correct 66 ms 149836 KB Output is correct
20 Correct 72 ms 149780 KB Output is correct
21 Correct 65 ms 148448 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 148248 KB Output is correct
2 Correct 68 ms 149732 KB Output is correct
3 Correct 71 ms 149836 KB Output is correct
4 Correct 66 ms 149836 KB Output is correct
5 Correct 67 ms 149844 KB Output is correct
6 Correct 67 ms 149808 KB Output is correct
7 Correct 67 ms 149836 KB Output is correct
8 Correct 65 ms 148640 KB Output is correct
9 Correct 66 ms 149836 KB Output is correct
10 Correct 71 ms 149836 KB Output is correct
11 Correct 66 ms 149780 KB Output is correct
12 Correct 67 ms 149836 KB Output is correct
13 Correct 65 ms 147916 KB Output is correct
14 Correct 66 ms 148424 KB Output is correct
15 Correct 67 ms 148428 KB Output is correct
16 Correct 66 ms 148044 KB Output is correct
17 Correct 66 ms 147916 KB Output is correct
18 Correct 64 ms 147916 KB Output is correct
19 Correct 66 ms 149836 KB Output is correct
20 Correct 72 ms 149780 KB Output is correct
21 Correct 65 ms 148448 KB Output is correct
22 Correct 69 ms 153140 KB Output is correct
23 Correct 89 ms 153140 KB Output is correct
24 Correct 71 ms 153100 KB Output is correct
25 Correct 71 ms 153164 KB Output is correct
26 Correct 72 ms 153016 KB Output is correct
27 Correct 72 ms 153164 KB Output is correct
28 Correct 70 ms 153136 KB Output is correct
29 Correct 69 ms 153036 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 148248 KB Output is correct
2 Correct 68 ms 149732 KB Output is correct
3 Correct 71 ms 149836 KB Output is correct
4 Correct 66 ms 149836 KB Output is correct
5 Correct 67 ms 149844 KB Output is correct
6 Correct 67 ms 149808 KB Output is correct
7 Correct 67 ms 149836 KB Output is correct
8 Correct 65 ms 148640 KB Output is correct
9 Correct 66 ms 149836 KB Output is correct
10 Correct 71 ms 149836 KB Output is correct
11 Correct 66 ms 149780 KB Output is correct
12 Correct 67 ms 149836 KB Output is correct
13 Correct 65 ms 147916 KB Output is correct
14 Correct 66 ms 148424 KB Output is correct
15 Correct 67 ms 148428 KB Output is correct
16 Correct 66 ms 148044 KB Output is correct
17 Correct 69 ms 153140 KB Output is correct
18 Correct 89 ms 153140 KB Output is correct
19 Correct 71 ms 153100 KB Output is correct
20 Correct 71 ms 153164 KB Output is correct
21 Correct 72 ms 153016 KB Output is correct
22 Correct 72 ms 153164 KB Output is correct
23 Correct 70 ms 153136 KB Output is correct
24 Correct 69 ms 153036 KB Output is correct
25 Correct 66 ms 147916 KB Output is correct
26 Correct 64 ms 147916 KB Output is correct
27 Correct 66 ms 149836 KB Output is correct
28 Correct 72 ms 149780 KB Output is correct
29 Correct 65 ms 148448 KB Output is correct
30 Correct 88 ms 161484 KB Output is correct
31 Correct 88 ms 161488 KB Output is correct
32 Correct 86 ms 161500 KB Output is correct
33 Correct 81 ms 161612 KB Output is correct
34 Correct 88 ms 161540 KB Output is correct
35 Correct 88 ms 161600 KB Output is correct
36 Correct 88 ms 161512 KB Output is correct
37 Correct 88 ms 161376 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 148248 KB Output is correct
2 Correct 68 ms 149732 KB Output is correct
3 Correct 71 ms 149836 KB Output is correct
4 Correct 66 ms 149836 KB Output is correct
5 Correct 67 ms 149844 KB Output is correct
6 Correct 67 ms 149808 KB Output is correct
7 Correct 67 ms 149836 KB Output is correct
8 Correct 65 ms 148640 KB Output is correct
9 Correct 66 ms 149836 KB Output is correct
10 Correct 71 ms 149836 KB Output is correct
11 Correct 66 ms 149780 KB Output is correct
12 Correct 67 ms 149836 KB Output is correct
13 Correct 65 ms 147916 KB Output is correct
14 Correct 66 ms 148424 KB Output is correct
15 Correct 67 ms 148428 KB Output is correct
16 Correct 66 ms 148044 KB Output is correct
17 Correct 69 ms 153140 KB Output is correct
18 Correct 89 ms 153140 KB Output is correct
19 Correct 71 ms 153100 KB Output is correct
20 Correct 71 ms 153164 KB Output is correct
21 Correct 72 ms 153016 KB Output is correct
22 Correct 72 ms 153164 KB Output is correct
23 Correct 70 ms 153136 KB Output is correct
24 Correct 69 ms 153036 KB Output is correct
25 Correct 88 ms 161484 KB Output is correct
26 Correct 88 ms 161488 KB Output is correct
27 Correct 86 ms 161500 KB Output is correct
28 Correct 81 ms 161612 KB Output is correct
29 Correct 88 ms 161540 KB Output is correct
30 Correct 88 ms 161600 KB Output is correct
31 Correct 88 ms 161512 KB Output is correct
32 Correct 88 ms 161376 KB Output is correct
33 Correct 66 ms 147916 KB Output is correct
34 Correct 64 ms 147916 KB Output is correct
35 Correct 66 ms 149836 KB Output is correct
36 Correct 72 ms 149780 KB Output is correct
37 Correct 65 ms 148448 KB Output is correct
38 Correct 265 ms 207180 KB Output is correct
39 Correct 218 ms 207184 KB Output is correct
40 Correct 269 ms 207176 KB Output is correct
41 Correct 218 ms 207196 KB Output is correct
42 Correct 337 ms 202412 KB Output is correct
43 Correct 337 ms 202456 KB Output is correct
44 Correct 348 ms 202316 KB Output is correct
45 Correct 318 ms 199240 KB Output is correct
46 Correct 179 ms 204332 KB Output is correct
47 Correct 204 ms 201292 KB Output is correct
48 Correct 306 ms 202700 KB Output is correct
49 Correct 310 ms 202700 KB Output is correct
50 Correct 197 ms 197792 KB Output is correct
51 Correct 187 ms 175496 KB Output is correct
52 Correct 294 ms 202212 KB Output is correct
53 Correct 294 ms 202148 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 148300 KB Output is correct
2 Correct 74 ms 148344 KB Output is correct
3 Correct 76 ms 148212 KB Output is correct
4 Correct 69 ms 148168 KB Output is correct
5 Correct 76 ms 148216 KB Output is correct
6 Correct 77 ms 148300 KB Output is correct
7 Correct 77 ms 148208 KB Output is correct
8 Correct 77 ms 148300 KB Output is correct
9 Correct 76 ms 148176 KB Output is correct
10 Correct 77 ms 147916 KB Output is correct
11 Correct 74 ms 148028 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 147916 KB Output is correct
2 Correct 64 ms 147916 KB Output is correct
3 Correct 66 ms 149836 KB Output is correct
4 Correct 72 ms 149780 KB Output is correct
5 Correct 65 ms 148448 KB Output is correct
6 Correct 66 ms 148428 KB Output is correct
7 Correct 961 ms 278564 KB Output is correct
8 Correct 1844 ms 418048 KB Output is correct
9 Correct 1872 ms 421884 KB Output is correct
10 Correct 1873 ms 422348 KB Output is correct
11 Correct 602 ms 292556 KB Output is correct
12 Correct 1155 ms 423260 KB Output is correct
13 Correct 1205 ms 430424 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 148248 KB Output is correct
2 Correct 68 ms 149732 KB Output is correct
3 Correct 71 ms 149836 KB Output is correct
4 Correct 66 ms 149836 KB Output is correct
5 Correct 67 ms 149844 KB Output is correct
6 Correct 67 ms 149808 KB Output is correct
7 Correct 67 ms 149836 KB Output is correct
8 Correct 65 ms 148640 KB Output is correct
9 Correct 66 ms 149836 KB Output is correct
10 Correct 71 ms 149836 KB Output is correct
11 Correct 66 ms 149780 KB Output is correct
12 Correct 67 ms 149836 KB Output is correct
13 Correct 65 ms 147916 KB Output is correct
14 Correct 66 ms 148424 KB Output is correct
15 Correct 67 ms 148428 KB Output is correct
16 Correct 66 ms 148044 KB Output is correct
17 Correct 69 ms 153140 KB Output is correct
18 Correct 89 ms 153140 KB Output is correct
19 Correct 71 ms 153100 KB Output is correct
20 Correct 71 ms 153164 KB Output is correct
21 Correct 72 ms 153016 KB Output is correct
22 Correct 72 ms 153164 KB Output is correct
23 Correct 70 ms 153136 KB Output is correct
24 Correct 69 ms 153036 KB Output is correct
25 Correct 88 ms 161484 KB Output is correct
26 Correct 88 ms 161488 KB Output is correct
27 Correct 86 ms 161500 KB Output is correct
28 Correct 81 ms 161612 KB Output is correct
29 Correct 88 ms 161540 KB Output is correct
30 Correct 88 ms 161600 KB Output is correct
31 Correct 88 ms 161512 KB Output is correct
32 Correct 88 ms 161376 KB Output is correct
33 Correct 265 ms 207180 KB Output is correct
34 Correct 218 ms 207184 KB Output is correct
35 Correct 269 ms 207176 KB Output is correct
36 Correct 218 ms 207196 KB Output is correct
37 Correct 337 ms 202412 KB Output is correct
38 Correct 337 ms 202456 KB Output is correct
39 Correct 348 ms 202316 KB Output is correct
40 Correct 318 ms 199240 KB Output is correct
41 Correct 179 ms 204332 KB Output is correct
42 Correct 204 ms 201292 KB Output is correct
43 Correct 306 ms 202700 KB Output is correct
44 Correct 310 ms 202700 KB Output is correct
45 Correct 197 ms 197792 KB Output is correct
46 Correct 187 ms 175496 KB Output is correct
47 Correct 294 ms 202212 KB Output is correct
48 Correct 294 ms 202148 KB Output is correct
49 Correct 78 ms 148300 KB Output is correct
50 Correct 74 ms 148344 KB Output is correct
51 Correct 76 ms 148212 KB Output is correct
52 Correct 69 ms 148168 KB Output is correct
53 Correct 76 ms 148216 KB Output is correct
54 Correct 77 ms 148300 KB Output is correct
55 Correct 77 ms 148208 KB Output is correct
56 Correct 77 ms 148300 KB Output is correct
57 Correct 76 ms 148176 KB Output is correct
58 Correct 77 ms 147916 KB Output is correct
59 Correct 74 ms 148028 KB Output is correct
60 Correct 66 ms 148428 KB Output is correct
61 Correct 961 ms 278564 KB Output is correct
62 Correct 1844 ms 418048 KB Output is correct
63 Correct 1872 ms 421884 KB Output is correct
64 Correct 1873 ms 422348 KB Output is correct
65 Correct 602 ms 292556 KB Output is correct
66 Correct 1155 ms 423260 KB Output is correct
67 Correct 1205 ms 430424 KB Output is correct
68 Correct 66 ms 147916 KB Output is correct
69 Correct 64 ms 147916 KB Output is correct
70 Correct 66 ms 149836 KB Output is correct
71 Correct 72 ms 149780 KB Output is correct
72 Correct 65 ms 148448 KB Output is correct
73 Correct 3199 ms 496324 KB Output is correct
74 Correct 2189 ms 496320 KB Output is correct
75 Correct 3242 ms 495564 KB Output is correct
76 Correct 2246 ms 495696 KB Output is correct
77 Correct 4804 ms 435696 KB Output is correct
78 Correct 2253 ms 319560 KB Output is correct
79 Correct 2305 ms 386608 KB Output is correct
80 Correct 3543 ms 435696 KB Output is correct
81 Correct 2238 ms 320592 KB Output is correct
82 Correct 2851 ms 409216 KB Output is correct
83 Correct 3621 ms 432948 KB Output is correct
84 Correct 2045 ms 313800 KB Output is correct
85 Correct 3403 ms 431432 KB Output is correct
86 Correct 3315 ms 424876 KB Output is correct
87 Correct 2916 ms 385776 KB Output is correct
88 Correct 4254 ms 435124 KB Output is correct
89 Correct 4589 ms 434376 KB Output is correct
90 Correct 4430 ms 434692 KB Output is correct