#include "rect.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mt make_tuple
#define pb push_back
const int N=2505;
const int M=2*N;
const int inf=1e9+7;
int a[N][N],n,m,U1[N][N],D1[N][N],L1[N][N],R1[N][N],U2[N][N],D2[N][N],L2[N][N],R2[N][N],S[N],c;
struct SegmentTreeMax
{
int mx[M];
SegmentTreeMax(){ for(int i=0;i<M;i++) mx[i]=-inf;}
void Set(int i, int f){ for(i+=N;i;i>>=1) mx[i]=max(mx[i],f);}
int Get(int l, int r)
{
int ans=-inf;
for(l+=N,r+=N;l<=r;l>>=1,r>>=1)
{
if(l%2==1) ans=max(ans,mx[l++]);
if(r%2==0) ans=max(ans,mx[r--]);
}
return ans;
}
} RMX[N],CMX[N];
struct SegmentTreeMin
{
int mn[M];
SegmentTreeMin(){ for(int i=0;i<M;i++) mn[i]=inf;}
void Set(int i, int f){ for(i+=N;i;i>>=1) mn[i]=min(mn[i],f);}
int Get(int l, int r)
{
int ans=inf;
for(l+=N,r+=N;l<=r;l>>=1,r>>=1)
{
if(l%2==1) ans=min(ans,mn[l++]);
if(r%2==0) ans=min(ans,mn[r--]);
}
return ans;
}
} RMN[N],CMN[N];
void Build()
{
for(int i=1;i<=n;i++)
{
S[c=0]=0;
for(int j=1;j<=m;j++)
{
while(c && a[i][S[c]]<=a[i][j]) c--;
L1[i][j]=S[c];S[++c]=j;
}
S[c=0]=m+1;
for(int j=m;j>=1;j--)
{
while(c && a[i][S[c]]<=a[i][j]) c--;
R1[i][j]=S[c];S[++c]=j;
}
S[c=0]=0;
for(int j=1;j<=m;j++)
{
while(c && a[i][S[c]]<a[i][j]) c--;
L2[i][j]=S[c];S[++c]=j;
CMX[j].Set(i,L2[i][j]);
}
S[c=0]=m+1;
for(int j=m;j>=1;j--)
{
while(c && a[i][S[c]]<a[i][j]) c--;
R2[i][j]=S[c];S[++c]=j;
CMN[j].Set(i,R2[i][j]);
}
}
for(int j=1;j<=m;j++)
{
S[c=0]=0;
for(int i=1;i<=n;i++)
{
while(c && a[S[c]][j]<=a[i][j]) c--;
U1[i][j]=S[c];S[++c]=i;
}
S[c=0]=n+1;
for(int i=n;i>=1;i--)
{
while(c && a[S[c]][j]<=a[i][j]) c--;
D1[i][j]=S[c];S[++c]=i;
}
S[c=0]=0;
for(int i=1;i<=n;i++)
{
while(c && a[S[c]][j]<a[i][j]) c--;
U2[i][j]=S[c];S[++c]=i;
RMX[i].Set(j,U2[i][j]);
}
S[c=0]=n+1;
for(int i=n;i>=1;i--)
{
while(c && a[S[c]][j]<a[i][j]) c--;
D2[i][j]=S[c];S[++c]=i;
RMN[i].Set(j,D2[i][j]);
}
}
}
struct Rectangle
{
int x1,y1,x2,y2;
Rectangle(){}
Rectangle(int a, int b, int c, int d):x1(a),y1(b),x2(c),y2(d){}
bool operator == (Rectangle b){ return mt(x1,y1,x2,y2)==mt(b.x1,b.y1,b.x2,b.y2);}
bool operator < (Rectangle b){ return mt(x1,y1,x2,y2)<mt(b.x1,b.y1,b.x2,b.y2);}
};
vector<Rectangle> work;
void Try(int x, int y)
{
if(L1[x][y]!=0 && R1[x][y]!=m+1 && U1[x][y]!=0 && D1[x][y]!=n+1)
{
int x1=U1[x][y];
int y1=L1[x][y];
int x2=D1[x][y];
int y2=R1[x][y];
work.pb(Rectangle(x1,y1,x2,y2));
}
}
ll Solve()
{
Build();
for(int i=1;i<=n;i++) for(int j=1;j<=m;j++) Try(i,j);
sort(work.begin(),work.end());
work.resize(unique(work.begin(),work.end())-work.begin());
ll ans=0;
for(Rectangle r:work)
{
int x1,y1,x2,y2;
tie(x1,y1,x2,y2)=mt(r.x1,r.y1,r.x2,r.y2);
int ok=0;
if(RMN[x1].Get(y1+1,y2-1)>=x2) ok++;
if(RMX[x2].Get(y1+1,y2-1)<=x1) ok++;
if(CMN[y1].Get(x1+1,x2-1)>=y2) ok++;
if(CMX[y2].Get(x1+1,x2-1)<=y1) ok++;
if(ok==4) ans++;
}
return ans;
}
ll count_rectangles(vector<vector<int> > a)
{
n=a.size();m=a[0].size();
for(int i=1;i<=n;i++) for(int j=1;j<=m;j++) ::a[i][j]=a[i-1][j-1];
return Solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
171 ms |
197112 KB |
Output is correct |
2 |
Correct |
171 ms |
198012 KB |
Output is correct |
3 |
Correct |
170 ms |
198136 KB |
Output is correct |
4 |
Correct |
170 ms |
198008 KB |
Output is correct |
5 |
Correct |
175 ms |
198008 KB |
Output is correct |
6 |
Correct |
172 ms |
197984 KB |
Output is correct |
7 |
Correct |
196 ms |
198076 KB |
Output is correct |
8 |
Correct |
178 ms |
197264 KB |
Output is correct |
9 |
Correct |
171 ms |
197952 KB |
Output is correct |
10 |
Correct |
189 ms |
197968 KB |
Output is correct |
11 |
Correct |
173 ms |
197996 KB |
Output is correct |
12 |
Correct |
171 ms |
197980 KB |
Output is correct |
13 |
Correct |
169 ms |
196868 KB |
Output is correct |
14 |
Correct |
169 ms |
197112 KB |
Output is correct |
15 |
Correct |
179 ms |
197240 KB |
Output is correct |
16 |
Correct |
168 ms |
196948 KB |
Output is correct |
17 |
Correct |
169 ms |
196984 KB |
Output is correct |
18 |
Correct |
171 ms |
196860 KB |
Output is correct |
19 |
Correct |
176 ms |
197980 KB |
Output is correct |
20 |
Correct |
171 ms |
197980 KB |
Output is correct |
21 |
Correct |
170 ms |
197232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
171 ms |
197112 KB |
Output is correct |
2 |
Correct |
171 ms |
198012 KB |
Output is correct |
3 |
Correct |
170 ms |
198136 KB |
Output is correct |
4 |
Correct |
170 ms |
198008 KB |
Output is correct |
5 |
Correct |
175 ms |
198008 KB |
Output is correct |
6 |
Correct |
172 ms |
197984 KB |
Output is correct |
7 |
Correct |
196 ms |
198076 KB |
Output is correct |
8 |
Correct |
178 ms |
197264 KB |
Output is correct |
9 |
Correct |
171 ms |
197952 KB |
Output is correct |
10 |
Correct |
189 ms |
197968 KB |
Output is correct |
11 |
Correct |
173 ms |
197996 KB |
Output is correct |
12 |
Correct |
171 ms |
197980 KB |
Output is correct |
13 |
Correct |
169 ms |
196868 KB |
Output is correct |
14 |
Correct |
169 ms |
197112 KB |
Output is correct |
15 |
Correct |
179 ms |
197240 KB |
Output is correct |
16 |
Correct |
168 ms |
196948 KB |
Output is correct |
17 |
Correct |
173 ms |
200272 KB |
Output is correct |
18 |
Correct |
219 ms |
200232 KB |
Output is correct |
19 |
Correct |
179 ms |
200176 KB |
Output is correct |
20 |
Correct |
176 ms |
200156 KB |
Output is correct |
21 |
Correct |
173 ms |
200156 KB |
Output is correct |
22 |
Correct |
181 ms |
200236 KB |
Output is correct |
23 |
Correct |
175 ms |
200188 KB |
Output is correct |
24 |
Correct |
172 ms |
199928 KB |
Output is correct |
25 |
Correct |
169 ms |
196984 KB |
Output is correct |
26 |
Correct |
171 ms |
196860 KB |
Output is correct |
27 |
Correct |
176 ms |
197980 KB |
Output is correct |
28 |
Correct |
171 ms |
197980 KB |
Output is correct |
29 |
Correct |
170 ms |
197232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
171 ms |
197112 KB |
Output is correct |
2 |
Correct |
171 ms |
198012 KB |
Output is correct |
3 |
Correct |
170 ms |
198136 KB |
Output is correct |
4 |
Correct |
170 ms |
198008 KB |
Output is correct |
5 |
Correct |
175 ms |
198008 KB |
Output is correct |
6 |
Correct |
172 ms |
197984 KB |
Output is correct |
7 |
Correct |
196 ms |
198076 KB |
Output is correct |
8 |
Correct |
178 ms |
197264 KB |
Output is correct |
9 |
Correct |
171 ms |
197952 KB |
Output is correct |
10 |
Correct |
189 ms |
197968 KB |
Output is correct |
11 |
Correct |
173 ms |
197996 KB |
Output is correct |
12 |
Correct |
171 ms |
197980 KB |
Output is correct |
13 |
Correct |
169 ms |
196868 KB |
Output is correct |
14 |
Correct |
169 ms |
197112 KB |
Output is correct |
15 |
Correct |
179 ms |
197240 KB |
Output is correct |
16 |
Correct |
168 ms |
196948 KB |
Output is correct |
17 |
Correct |
173 ms |
200272 KB |
Output is correct |
18 |
Correct |
219 ms |
200232 KB |
Output is correct |
19 |
Correct |
179 ms |
200176 KB |
Output is correct |
20 |
Correct |
176 ms |
200156 KB |
Output is correct |
21 |
Correct |
173 ms |
200156 KB |
Output is correct |
22 |
Correct |
181 ms |
200236 KB |
Output is correct |
23 |
Correct |
175 ms |
200188 KB |
Output is correct |
24 |
Correct |
172 ms |
199928 KB |
Output is correct |
25 |
Correct |
196 ms |
206968 KB |
Output is correct |
26 |
Correct |
198 ms |
207036 KB |
Output is correct |
27 |
Correct |
208 ms |
207048 KB |
Output is correct |
28 |
Correct |
193 ms |
206456 KB |
Output is correct |
29 |
Correct |
200 ms |
207184 KB |
Output is correct |
30 |
Correct |
197 ms |
206964 KB |
Output is correct |
31 |
Correct |
229 ms |
206968 KB |
Output is correct |
32 |
Correct |
199 ms |
206828 KB |
Output is correct |
33 |
Correct |
169 ms |
196984 KB |
Output is correct |
34 |
Correct |
171 ms |
196860 KB |
Output is correct |
35 |
Correct |
176 ms |
197980 KB |
Output is correct |
36 |
Correct |
171 ms |
197980 KB |
Output is correct |
37 |
Correct |
170 ms |
197232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
171 ms |
197112 KB |
Output is correct |
2 |
Correct |
171 ms |
198012 KB |
Output is correct |
3 |
Correct |
170 ms |
198136 KB |
Output is correct |
4 |
Correct |
170 ms |
198008 KB |
Output is correct |
5 |
Correct |
175 ms |
198008 KB |
Output is correct |
6 |
Correct |
172 ms |
197984 KB |
Output is correct |
7 |
Correct |
196 ms |
198076 KB |
Output is correct |
8 |
Correct |
178 ms |
197264 KB |
Output is correct |
9 |
Correct |
171 ms |
197952 KB |
Output is correct |
10 |
Correct |
189 ms |
197968 KB |
Output is correct |
11 |
Correct |
173 ms |
197996 KB |
Output is correct |
12 |
Correct |
171 ms |
197980 KB |
Output is correct |
13 |
Correct |
169 ms |
196868 KB |
Output is correct |
14 |
Correct |
169 ms |
197112 KB |
Output is correct |
15 |
Correct |
179 ms |
197240 KB |
Output is correct |
16 |
Correct |
168 ms |
196948 KB |
Output is correct |
17 |
Correct |
173 ms |
200272 KB |
Output is correct |
18 |
Correct |
219 ms |
200232 KB |
Output is correct |
19 |
Correct |
179 ms |
200176 KB |
Output is correct |
20 |
Correct |
176 ms |
200156 KB |
Output is correct |
21 |
Correct |
173 ms |
200156 KB |
Output is correct |
22 |
Correct |
181 ms |
200236 KB |
Output is correct |
23 |
Correct |
175 ms |
200188 KB |
Output is correct |
24 |
Correct |
172 ms |
199928 KB |
Output is correct |
25 |
Correct |
196 ms |
206968 KB |
Output is correct |
26 |
Correct |
198 ms |
207036 KB |
Output is correct |
27 |
Correct |
208 ms |
207048 KB |
Output is correct |
28 |
Correct |
193 ms |
206456 KB |
Output is correct |
29 |
Correct |
200 ms |
207184 KB |
Output is correct |
30 |
Correct |
197 ms |
206964 KB |
Output is correct |
31 |
Correct |
229 ms |
206968 KB |
Output is correct |
32 |
Correct |
199 ms |
206828 KB |
Output is correct |
33 |
Correct |
405 ms |
243284 KB |
Output is correct |
34 |
Correct |
416 ms |
243320 KB |
Output is correct |
35 |
Correct |
414 ms |
243308 KB |
Output is correct |
36 |
Correct |
415 ms |
243320 KB |
Output is correct |
37 |
Correct |
556 ms |
251612 KB |
Output is correct |
38 |
Correct |
570 ms |
251584 KB |
Output is correct |
39 |
Correct |
549 ms |
251740 KB |
Output is correct |
40 |
Correct |
541 ms |
248576 KB |
Output is correct |
41 |
Correct |
471 ms |
247484 KB |
Output is correct |
42 |
Correct |
526 ms |
251740 KB |
Output is correct |
43 |
Correct |
609 ms |
251644 KB |
Output is correct |
44 |
Correct |
572 ms |
254228 KB |
Output is correct |
45 |
Correct |
378 ms |
238696 KB |
Output is correct |
46 |
Correct |
366 ms |
224240 KB |
Output is correct |
47 |
Correct |
548 ms |
251612 KB |
Output is correct |
48 |
Correct |
556 ms |
251616 KB |
Output is correct |
49 |
Correct |
169 ms |
196984 KB |
Output is correct |
50 |
Correct |
171 ms |
196860 KB |
Output is correct |
51 |
Correct |
176 ms |
197980 KB |
Output is correct |
52 |
Correct |
171 ms |
197980 KB |
Output is correct |
53 |
Correct |
170 ms |
197232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
176 ms |
197256 KB |
Output is correct |
2 |
Correct |
204 ms |
197300 KB |
Output is correct |
3 |
Correct |
260 ms |
197276 KB |
Output is correct |
4 |
Correct |
171 ms |
197112 KB |
Output is correct |
5 |
Correct |
174 ms |
197240 KB |
Output is correct |
6 |
Correct |
175 ms |
197212 KB |
Output is correct |
7 |
Correct |
178 ms |
197348 KB |
Output is correct |
8 |
Correct |
213 ms |
197260 KB |
Output is correct |
9 |
Correct |
187 ms |
197184 KB |
Output is correct |
10 |
Correct |
181 ms |
197072 KB |
Output is correct |
11 |
Correct |
173 ms |
197112 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
170 ms |
197220 KB |
Output is correct |
2 |
Correct |
1895 ms |
361308 KB |
Output is correct |
3 |
Correct |
3994 ms |
531196 KB |
Output is correct |
4 |
Correct |
4026 ms |
532412 KB |
Output is correct |
5 |
Correct |
3988 ms |
532496 KB |
Output is correct |
6 |
Correct |
1572 ms |
330104 KB |
Output is correct |
7 |
Correct |
2884 ms |
463628 KB |
Output is correct |
8 |
Correct |
3090 ms |
467064 KB |
Output is correct |
9 |
Correct |
169 ms |
196984 KB |
Output is correct |
10 |
Correct |
171 ms |
196860 KB |
Output is correct |
11 |
Correct |
176 ms |
197980 KB |
Output is correct |
12 |
Correct |
171 ms |
197980 KB |
Output is correct |
13 |
Correct |
170 ms |
197232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
171 ms |
197112 KB |
Output is correct |
2 |
Correct |
171 ms |
198012 KB |
Output is correct |
3 |
Correct |
170 ms |
198136 KB |
Output is correct |
4 |
Correct |
170 ms |
198008 KB |
Output is correct |
5 |
Correct |
175 ms |
198008 KB |
Output is correct |
6 |
Correct |
172 ms |
197984 KB |
Output is correct |
7 |
Correct |
196 ms |
198076 KB |
Output is correct |
8 |
Correct |
178 ms |
197264 KB |
Output is correct |
9 |
Correct |
171 ms |
197952 KB |
Output is correct |
10 |
Correct |
189 ms |
197968 KB |
Output is correct |
11 |
Correct |
173 ms |
197996 KB |
Output is correct |
12 |
Correct |
171 ms |
197980 KB |
Output is correct |
13 |
Correct |
169 ms |
196868 KB |
Output is correct |
14 |
Correct |
169 ms |
197112 KB |
Output is correct |
15 |
Correct |
179 ms |
197240 KB |
Output is correct |
16 |
Correct |
168 ms |
196948 KB |
Output is correct |
17 |
Correct |
173 ms |
200272 KB |
Output is correct |
18 |
Correct |
219 ms |
200232 KB |
Output is correct |
19 |
Correct |
179 ms |
200176 KB |
Output is correct |
20 |
Correct |
176 ms |
200156 KB |
Output is correct |
21 |
Correct |
173 ms |
200156 KB |
Output is correct |
22 |
Correct |
181 ms |
200236 KB |
Output is correct |
23 |
Correct |
175 ms |
200188 KB |
Output is correct |
24 |
Correct |
172 ms |
199928 KB |
Output is correct |
25 |
Correct |
196 ms |
206968 KB |
Output is correct |
26 |
Correct |
198 ms |
207036 KB |
Output is correct |
27 |
Correct |
208 ms |
207048 KB |
Output is correct |
28 |
Correct |
193 ms |
206456 KB |
Output is correct |
29 |
Correct |
200 ms |
207184 KB |
Output is correct |
30 |
Correct |
197 ms |
206964 KB |
Output is correct |
31 |
Correct |
229 ms |
206968 KB |
Output is correct |
32 |
Correct |
199 ms |
206828 KB |
Output is correct |
33 |
Correct |
405 ms |
243284 KB |
Output is correct |
34 |
Correct |
416 ms |
243320 KB |
Output is correct |
35 |
Correct |
414 ms |
243308 KB |
Output is correct |
36 |
Correct |
415 ms |
243320 KB |
Output is correct |
37 |
Correct |
556 ms |
251612 KB |
Output is correct |
38 |
Correct |
570 ms |
251584 KB |
Output is correct |
39 |
Correct |
549 ms |
251740 KB |
Output is correct |
40 |
Correct |
541 ms |
248576 KB |
Output is correct |
41 |
Correct |
471 ms |
247484 KB |
Output is correct |
42 |
Correct |
526 ms |
251740 KB |
Output is correct |
43 |
Correct |
609 ms |
251644 KB |
Output is correct |
44 |
Correct |
572 ms |
254228 KB |
Output is correct |
45 |
Correct |
378 ms |
238696 KB |
Output is correct |
46 |
Correct |
366 ms |
224240 KB |
Output is correct |
47 |
Correct |
548 ms |
251612 KB |
Output is correct |
48 |
Correct |
556 ms |
251616 KB |
Output is correct |
49 |
Correct |
176 ms |
197256 KB |
Output is correct |
50 |
Correct |
204 ms |
197300 KB |
Output is correct |
51 |
Correct |
260 ms |
197276 KB |
Output is correct |
52 |
Correct |
171 ms |
197112 KB |
Output is correct |
53 |
Correct |
174 ms |
197240 KB |
Output is correct |
54 |
Correct |
175 ms |
197212 KB |
Output is correct |
55 |
Correct |
178 ms |
197348 KB |
Output is correct |
56 |
Correct |
213 ms |
197260 KB |
Output is correct |
57 |
Correct |
187 ms |
197184 KB |
Output is correct |
58 |
Correct |
181 ms |
197072 KB |
Output is correct |
59 |
Correct |
173 ms |
197112 KB |
Output is correct |
60 |
Correct |
170 ms |
197220 KB |
Output is correct |
61 |
Correct |
1895 ms |
361308 KB |
Output is correct |
62 |
Correct |
3994 ms |
531196 KB |
Output is correct |
63 |
Correct |
4026 ms |
532412 KB |
Output is correct |
64 |
Correct |
3988 ms |
532496 KB |
Output is correct |
65 |
Correct |
1572 ms |
330104 KB |
Output is correct |
66 |
Correct |
2884 ms |
463628 KB |
Output is correct |
67 |
Correct |
3090 ms |
467064 KB |
Output is correct |
68 |
Correct |
3216 ms |
466904 KB |
Output is correct |
69 |
Correct |
3282 ms |
466916 KB |
Output is correct |
70 |
Correct |
3164 ms |
466828 KB |
Output is correct |
71 |
Correct |
3180 ms |
466920 KB |
Output is correct |
72 |
Execution timed out |
5047 ms |
598100 KB |
Time limit exceeded |
73 |
Halted |
0 ms |
0 KB |
- |