# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
771370 |
2023-07-02T22:56:27 Z |
TimDee |
Rectangles (IOI19_rect) |
C++17 |
|
4505 ms |
383880 KB |
#include "rect.h"
#pragma GCC optimize("O3","unroll-loops")
#pragma GCC target("avx2,popcnt")
#include <bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0; i<n; ++i)
#define pi pair<int,int>
#define f first
#define s second
#define ll long long
#define pb push_back
#define all(x) x.begin(),x.end()
struct DSU {
vector<int> p, sz, l, r, t, d;
int m;
DSU(int n, int _m) {
m=_m;
forn(i,n*m) {
p.pb(i);
sz.pb(1);
l.pb(i%m);
r.pb(i%m);
t.pb(i/m);
d.pb(i/m);
}
}
int get(int u) {
return p[u]==u?u:get(p[u]);
}
void uni(int u, int v) {
u=get(u), v=get(v);
if (u==v) return;
if (sz[u]<sz[v]) swap(u,v);
p[v]=u;
sz[u]+=sz[v];
l[u]=min(l[u],l[v]);
r[u]=max(r[u],r[v]);
t[u]=min(t[u],t[v]);
d[u]=max(d[u],d[v]);
}
void uni(int a, int b, int c, int d) {
uni(a*m+b,c*m+d);
}
};
ll wrong(vector<vector<int>> b) {
int n=b.size(), m=b[0].size();
vector<vector<int>> a(n+2,vector<int>(m+2,-1));
forn(i,n) forn(j,m) a[i+1][j+1]=b[i][j];
vector<pi> v;
n+=2, m+=2;
DSU dsu(n,m);
forn(i,n) forn(j,m) if (a[i][j]!=-1) v.pb({a[i][j],i*m+j});
sort(all(v));
vector<vector<int>> ok(n,vector<int>(m,0));
forn(i,n) forn(j,m) {
if (i==0 || i==n-1) ok[i][j]=1;
if (j==0 || j==m-1) ok[i][j]=1;
}
forn(i,n) forn(j,m) if (ok[i][j]) dsu.uni(i,j,0,0);
ll ans=0;
int N=v.size();
for(int i=0; i<N; ) {
vector<int> z;
int x=v[i].f;
while (i<N && v[i].f==x) {
z.pb(v[i].s);
++i;
}
for(auto&it:z) {
int x=it/m, y=it%m;
if (ok[x-1][y]) dsu.uni(x-1,y,x,y);
if (ok[x+1][y]) dsu.uni(x+1,y,x,y);
if (ok[x][y-1]) dsu.uni(x,y-1,x,y);
if (ok[x][y+1]) dsu.uni(x,y+1,x,y);
ok[x][y]=1;
}
map<int,int> was;
for(auto&it:z) {
int x=it/m, y=it%m;
int u=dsu.get(it);
if (was[u]) continue;
was[u]=1;
int b=dsu.l[u];
int a=dsu.t[u];
int d=dsu.r[u];
int c=dsu.d[u];
int k=(c-a+1)*(d-b+1);
if (k==dsu.sz[u]) ++ans;
}
}
return ans-1;
}
const int N=700;
struct dsu {
vector<int> p,sz,l,r;
dsu(int n) {
forn(i,n) p.pb(i), sz.pb(1);
l=r=p;
}
int get(int u) {
return p[u]==u?u:get(p[u]);
}
void uni(int u, int v) {
u=get(u),v=get(v);
if (u==v) return;
if (sz[u]<sz[v]) swap(u,v);
p[v]=u;
sz[u]+=sz[v];
l[u]=min(l[u],l[v]);
r[u]=max(r[u],r[v]);
}
};
vector<dsu> dsu1(N,dsu(N)), dsu2(N,dsu(N));
int ok[N][N];
int a[N][N];
bitset<N> dp1[N][N], dp2[N][N];
ll count_rectangles(vector<vector<int>> b) {
int n=b.size(), m=b[0].size();
if (min(n,m)<3) return 0;
int mx=0; for(auto&x:b) for(auto&y:x) mx=max(mx,y);
if (mx==1) return wrong(b);
if (n==3) {
ll ans=0;
for (int i=0; i<m; ++i) {
int mx=0;
for (int j=i+1; j<m-1; ++j) {
if (b[0][j]<=b[1][j] || b[1][j]>=b[2][j]) break;
mx=max(mx,b[1][j]);
ans += b[1][i]>mx && mx<b[1][j+1];
}
}
return ans;
}
if (max(n,m)>N) exit(0);
forn(i,n) forn(j,m) a[i][j]=b[i][j];
forn(i,n) {
for (int l=0; l<m; ++l) {
int mx=0;
for (int r=l+1; r+1<m; ++r) {
mx=max(mx,a[i][r]);
dp1[i][l+1][r]=a[i][l]>mx && mx<a[i][r+1];
}
}
}
forn(i,m) {
for (int l=0; l<n; ++l) {
int mx=0;
for (int r=l+1; r+1<n; ++r) {
mx=max(mx,a[r][i]);
dp2[i][l+1][r]=a[l][i]>mx && mx<a[r+1][i];
}
}
}
vector<pi> v;
forn(i,n) forn(j,m) v.pb({a[i][j],i*m+j});
sort(all(v));
ll ans=0;
int N=v.size();
map<ll,ll> was;
for(int i=0; i<N; ) {
vector<int> z;
int x=v[i].f;
while (i<N && v[i].f==x) {
z.pb(v[i].s);
++i;
}
for(auto&it:z) {
int x=it/m, y=it%m;
if (x) if (ok[x-1][y]) dsu1[y].uni(x-1,x);
if (x<n-1) if (ok[x+1][y]) dsu1[y].uni(x+1,x);
if (y) if (ok[x][y-1]) dsu2[x].uni(y-1,y);
if (y<m-1) if (ok[x][y+1]) dsu2[x].uni(y+1,y);
ok[x][y]=1;
}
for(auto&it:z) {
int x=it/m, y=it%m;
int u=dsu1[y].get(x);
int a=dsu1[y].l[u], c=dsu1[y].r[u];
int v=dsu2[x].get(y);
int b=dsu2[x].l[v], d=dsu2[x].r[v];
if (a==0 || b==0 || c==n-1 || d==m-1) continue;
if (was[a*m+b+n*m*(c*m+d)]) continue;
was[a*m+b+n*m*(c*m+d)]=1;
int ok=1;
for (int i=a; i<=c; ++i) {
ok&=dp1[i][b][d];
}
for (int i=b; i<=d; ++i) {
ok&=dp2[i][a][c];
}
ans+=ok;
}
}
return ans;
}
Compilation message
rect.cpp: In function 'long long int wrong(std::vector<std::vector<int> >)':
rect.cpp:83:8: warning: unused variable 'x' [-Wunused-variable]
83 | int x=it/m, y=it%m;
| ^
rect.cpp:83:16: warning: unused variable 'y' [-Wunused-variable]
83 | int x=it/m, y=it%m;
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
16468 KB |
Output is correct |
3 |
Correct |
9 ms |
16468 KB |
Output is correct |
4 |
Correct |
9 ms |
16440 KB |
Output is correct |
5 |
Correct |
9 ms |
16408 KB |
Output is correct |
6 |
Correct |
10 ms |
16428 KB |
Output is correct |
7 |
Correct |
11 ms |
16212 KB |
Output is correct |
8 |
Correct |
15 ms |
16184 KB |
Output is correct |
9 |
Correct |
10 ms |
16376 KB |
Output is correct |
10 |
Correct |
9 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
16468 KB |
Output is correct |
12 |
Correct |
9 ms |
16468 KB |
Output is correct |
13 |
Correct |
8 ms |
15828 KB |
Output is correct |
14 |
Correct |
8 ms |
15764 KB |
Output is correct |
15 |
Correct |
9 ms |
15992 KB |
Output is correct |
16 |
Correct |
8 ms |
15780 KB |
Output is correct |
17 |
Correct |
8 ms |
15828 KB |
Output is correct |
18 |
Correct |
8 ms |
15828 KB |
Output is correct |
19 |
Correct |
8 ms |
15828 KB |
Output is correct |
20 |
Correct |
9 ms |
15848 KB |
Output is correct |
21 |
Correct |
8 ms |
15828 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
16468 KB |
Output is correct |
3 |
Correct |
9 ms |
16468 KB |
Output is correct |
4 |
Correct |
9 ms |
16440 KB |
Output is correct |
5 |
Correct |
9 ms |
16408 KB |
Output is correct |
6 |
Correct |
10 ms |
16428 KB |
Output is correct |
7 |
Correct |
11 ms |
16212 KB |
Output is correct |
8 |
Correct |
15 ms |
16184 KB |
Output is correct |
9 |
Correct |
10 ms |
16376 KB |
Output is correct |
10 |
Correct |
9 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
16468 KB |
Output is correct |
12 |
Correct |
9 ms |
16468 KB |
Output is correct |
13 |
Correct |
8 ms |
15828 KB |
Output is correct |
14 |
Correct |
8 ms |
15764 KB |
Output is correct |
15 |
Correct |
9 ms |
15992 KB |
Output is correct |
16 |
Correct |
8 ms |
15780 KB |
Output is correct |
17 |
Correct |
8 ms |
15828 KB |
Output is correct |
18 |
Correct |
8 ms |
15828 KB |
Output is correct |
19 |
Correct |
8 ms |
15828 KB |
Output is correct |
20 |
Correct |
9 ms |
15848 KB |
Output is correct |
21 |
Correct |
8 ms |
15828 KB |
Output is correct |
22 |
Correct |
17 ms |
18516 KB |
Output is correct |
23 |
Correct |
17 ms |
18408 KB |
Output is correct |
24 |
Correct |
13 ms |
18516 KB |
Output is correct |
25 |
Correct |
12 ms |
18288 KB |
Output is correct |
26 |
Correct |
14 ms |
18388 KB |
Output is correct |
27 |
Correct |
14 ms |
18356 KB |
Output is correct |
28 |
Correct |
15 ms |
18388 KB |
Output is correct |
29 |
Correct |
13 ms |
17492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
16468 KB |
Output is correct |
3 |
Correct |
9 ms |
16468 KB |
Output is correct |
4 |
Correct |
9 ms |
16440 KB |
Output is correct |
5 |
Correct |
9 ms |
16408 KB |
Output is correct |
6 |
Correct |
10 ms |
16428 KB |
Output is correct |
7 |
Correct |
11 ms |
16212 KB |
Output is correct |
8 |
Correct |
15 ms |
16184 KB |
Output is correct |
9 |
Correct |
10 ms |
16376 KB |
Output is correct |
10 |
Correct |
9 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
16468 KB |
Output is correct |
12 |
Correct |
9 ms |
16468 KB |
Output is correct |
13 |
Correct |
8 ms |
15828 KB |
Output is correct |
14 |
Correct |
8 ms |
15764 KB |
Output is correct |
15 |
Correct |
9 ms |
15992 KB |
Output is correct |
16 |
Correct |
8 ms |
15780 KB |
Output is correct |
17 |
Correct |
17 ms |
18516 KB |
Output is correct |
18 |
Correct |
17 ms |
18408 KB |
Output is correct |
19 |
Correct |
13 ms |
18516 KB |
Output is correct |
20 |
Correct |
12 ms |
18288 KB |
Output is correct |
21 |
Correct |
14 ms |
18388 KB |
Output is correct |
22 |
Correct |
14 ms |
18356 KB |
Output is correct |
23 |
Correct |
15 ms |
18388 KB |
Output is correct |
24 |
Correct |
13 ms |
17492 KB |
Output is correct |
25 |
Correct |
8 ms |
15828 KB |
Output is correct |
26 |
Correct |
8 ms |
15828 KB |
Output is correct |
27 |
Correct |
8 ms |
15828 KB |
Output is correct |
28 |
Correct |
9 ms |
15848 KB |
Output is correct |
29 |
Correct |
8 ms |
15828 KB |
Output is correct |
30 |
Correct |
69 ms |
28484 KB |
Output is correct |
31 |
Correct |
71 ms |
28416 KB |
Output is correct |
32 |
Correct |
77 ms |
28388 KB |
Output is correct |
33 |
Correct |
44 ms |
27464 KB |
Output is correct |
34 |
Correct |
58 ms |
28276 KB |
Output is correct |
35 |
Correct |
60 ms |
28196 KB |
Output is correct |
36 |
Correct |
65 ms |
27896 KB |
Output is correct |
37 |
Correct |
55 ms |
27764 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
16468 KB |
Output is correct |
3 |
Correct |
9 ms |
16468 KB |
Output is correct |
4 |
Correct |
9 ms |
16440 KB |
Output is correct |
5 |
Correct |
9 ms |
16408 KB |
Output is correct |
6 |
Correct |
10 ms |
16428 KB |
Output is correct |
7 |
Correct |
11 ms |
16212 KB |
Output is correct |
8 |
Correct |
15 ms |
16184 KB |
Output is correct |
9 |
Correct |
10 ms |
16376 KB |
Output is correct |
10 |
Correct |
9 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
16468 KB |
Output is correct |
12 |
Correct |
9 ms |
16468 KB |
Output is correct |
13 |
Correct |
8 ms |
15828 KB |
Output is correct |
14 |
Correct |
8 ms |
15764 KB |
Output is correct |
15 |
Correct |
9 ms |
15992 KB |
Output is correct |
16 |
Correct |
8 ms |
15780 KB |
Output is correct |
17 |
Correct |
17 ms |
18516 KB |
Output is correct |
18 |
Correct |
17 ms |
18408 KB |
Output is correct |
19 |
Correct |
13 ms |
18516 KB |
Output is correct |
20 |
Correct |
12 ms |
18288 KB |
Output is correct |
21 |
Correct |
14 ms |
18388 KB |
Output is correct |
22 |
Correct |
14 ms |
18356 KB |
Output is correct |
23 |
Correct |
15 ms |
18388 KB |
Output is correct |
24 |
Correct |
13 ms |
17492 KB |
Output is correct |
25 |
Correct |
69 ms |
28484 KB |
Output is correct |
26 |
Correct |
71 ms |
28416 KB |
Output is correct |
27 |
Correct |
77 ms |
28388 KB |
Output is correct |
28 |
Correct |
44 ms |
27464 KB |
Output is correct |
29 |
Correct |
58 ms |
28276 KB |
Output is correct |
30 |
Correct |
60 ms |
28196 KB |
Output is correct |
31 |
Correct |
65 ms |
27896 KB |
Output is correct |
32 |
Correct |
55 ms |
27764 KB |
Output is correct |
33 |
Correct |
8 ms |
15828 KB |
Output is correct |
34 |
Correct |
8 ms |
15828 KB |
Output is correct |
35 |
Correct |
8 ms |
15828 KB |
Output is correct |
36 |
Correct |
9 ms |
15848 KB |
Output is correct |
37 |
Correct |
8 ms |
15828 KB |
Output is correct |
38 |
Correct |
896 ms |
111968 KB |
Output is correct |
39 |
Correct |
892 ms |
111912 KB |
Output is correct |
40 |
Correct |
882 ms |
111872 KB |
Output is correct |
41 |
Correct |
887 ms |
111900 KB |
Output is correct |
42 |
Correct |
4505 ms |
142268 KB |
Output is correct |
43 |
Correct |
4453 ms |
142076 KB |
Output is correct |
44 |
Correct |
4501 ms |
142364 KB |
Output is correct |
45 |
Correct |
4045 ms |
136560 KB |
Output is correct |
46 |
Correct |
115 ms |
43508 KB |
Output is correct |
47 |
Correct |
1061 ms |
130764 KB |
Output is correct |
48 |
Correct |
1557 ms |
141308 KB |
Output is correct |
49 |
Correct |
1631 ms |
141260 KB |
Output is correct |
50 |
Correct |
677 ms |
83016 KB |
Output is correct |
51 |
Correct |
655 ms |
81080 KB |
Output is correct |
52 |
Correct |
1431 ms |
136100 KB |
Output is correct |
53 |
Correct |
1509 ms |
136404 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
15828 KB |
Output is correct |
2 |
Correct |
12 ms |
15828 KB |
Output is correct |
3 |
Correct |
8 ms |
15828 KB |
Output is correct |
4 |
Correct |
10 ms |
15828 KB |
Output is correct |
5 |
Correct |
8 ms |
15868 KB |
Output is correct |
6 |
Correct |
10 ms |
15956 KB |
Output is correct |
7 |
Correct |
11 ms |
15828 KB |
Output is correct |
8 |
Correct |
8 ms |
15900 KB |
Output is correct |
9 |
Correct |
9 ms |
15888 KB |
Output is correct |
10 |
Correct |
9 ms |
15828 KB |
Output is correct |
11 |
Correct |
10 ms |
15828 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
15828 KB |
Output is correct |
2 |
Correct |
8 ms |
15828 KB |
Output is correct |
3 |
Correct |
8 ms |
15828 KB |
Output is correct |
4 |
Correct |
9 ms |
15848 KB |
Output is correct |
5 |
Correct |
8 ms |
15828 KB |
Output is correct |
6 |
Correct |
8 ms |
15828 KB |
Output is correct |
7 |
Correct |
612 ms |
182172 KB |
Output is correct |
8 |
Correct |
1413 ms |
376452 KB |
Output is correct |
9 |
Correct |
1464 ms |
378408 KB |
Output is correct |
10 |
Correct |
1456 ms |
378356 KB |
Output is correct |
11 |
Correct |
495 ms |
201904 KB |
Output is correct |
12 |
Correct |
1135 ms |
364240 KB |
Output is correct |
13 |
Correct |
1295 ms |
383880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
15956 KB |
Output is correct |
2 |
Correct |
9 ms |
16468 KB |
Output is correct |
3 |
Correct |
9 ms |
16468 KB |
Output is correct |
4 |
Correct |
9 ms |
16440 KB |
Output is correct |
5 |
Correct |
9 ms |
16408 KB |
Output is correct |
6 |
Correct |
10 ms |
16428 KB |
Output is correct |
7 |
Correct |
11 ms |
16212 KB |
Output is correct |
8 |
Correct |
15 ms |
16184 KB |
Output is correct |
9 |
Correct |
10 ms |
16376 KB |
Output is correct |
10 |
Correct |
9 ms |
16468 KB |
Output is correct |
11 |
Correct |
9 ms |
16468 KB |
Output is correct |
12 |
Correct |
9 ms |
16468 KB |
Output is correct |
13 |
Correct |
8 ms |
15828 KB |
Output is correct |
14 |
Correct |
8 ms |
15764 KB |
Output is correct |
15 |
Correct |
9 ms |
15992 KB |
Output is correct |
16 |
Correct |
8 ms |
15780 KB |
Output is correct |
17 |
Correct |
17 ms |
18516 KB |
Output is correct |
18 |
Correct |
17 ms |
18408 KB |
Output is correct |
19 |
Correct |
13 ms |
18516 KB |
Output is correct |
20 |
Correct |
12 ms |
18288 KB |
Output is correct |
21 |
Correct |
14 ms |
18388 KB |
Output is correct |
22 |
Correct |
14 ms |
18356 KB |
Output is correct |
23 |
Correct |
15 ms |
18388 KB |
Output is correct |
24 |
Correct |
13 ms |
17492 KB |
Output is correct |
25 |
Correct |
69 ms |
28484 KB |
Output is correct |
26 |
Correct |
71 ms |
28416 KB |
Output is correct |
27 |
Correct |
77 ms |
28388 KB |
Output is correct |
28 |
Correct |
44 ms |
27464 KB |
Output is correct |
29 |
Correct |
58 ms |
28276 KB |
Output is correct |
30 |
Correct |
60 ms |
28196 KB |
Output is correct |
31 |
Correct |
65 ms |
27896 KB |
Output is correct |
32 |
Correct |
55 ms |
27764 KB |
Output is correct |
33 |
Correct |
896 ms |
111968 KB |
Output is correct |
34 |
Correct |
892 ms |
111912 KB |
Output is correct |
35 |
Correct |
882 ms |
111872 KB |
Output is correct |
36 |
Correct |
887 ms |
111900 KB |
Output is correct |
37 |
Correct |
4505 ms |
142268 KB |
Output is correct |
38 |
Correct |
4453 ms |
142076 KB |
Output is correct |
39 |
Correct |
4501 ms |
142364 KB |
Output is correct |
40 |
Correct |
4045 ms |
136560 KB |
Output is correct |
41 |
Correct |
115 ms |
43508 KB |
Output is correct |
42 |
Correct |
1061 ms |
130764 KB |
Output is correct |
43 |
Correct |
1557 ms |
141308 KB |
Output is correct |
44 |
Correct |
1631 ms |
141260 KB |
Output is correct |
45 |
Correct |
677 ms |
83016 KB |
Output is correct |
46 |
Correct |
655 ms |
81080 KB |
Output is correct |
47 |
Correct |
1431 ms |
136100 KB |
Output is correct |
48 |
Correct |
1509 ms |
136404 KB |
Output is correct |
49 |
Correct |
12 ms |
15828 KB |
Output is correct |
50 |
Correct |
12 ms |
15828 KB |
Output is correct |
51 |
Correct |
8 ms |
15828 KB |
Output is correct |
52 |
Correct |
10 ms |
15828 KB |
Output is correct |
53 |
Correct |
8 ms |
15868 KB |
Output is correct |
54 |
Correct |
10 ms |
15956 KB |
Output is correct |
55 |
Correct |
11 ms |
15828 KB |
Output is correct |
56 |
Correct |
8 ms |
15900 KB |
Output is correct |
57 |
Correct |
9 ms |
15888 KB |
Output is correct |
58 |
Correct |
9 ms |
15828 KB |
Output is correct |
59 |
Correct |
10 ms |
15828 KB |
Output is correct |
60 |
Correct |
8 ms |
15828 KB |
Output is correct |
61 |
Correct |
612 ms |
182172 KB |
Output is correct |
62 |
Correct |
1413 ms |
376452 KB |
Output is correct |
63 |
Correct |
1464 ms |
378408 KB |
Output is correct |
64 |
Correct |
1456 ms |
378356 KB |
Output is correct |
65 |
Correct |
495 ms |
201904 KB |
Output is correct |
66 |
Correct |
1135 ms |
364240 KB |
Output is correct |
67 |
Correct |
1295 ms |
383880 KB |
Output is correct |
68 |
Correct |
8 ms |
15828 KB |
Output is correct |
69 |
Correct |
8 ms |
15828 KB |
Output is correct |
70 |
Correct |
8 ms |
15828 KB |
Output is correct |
71 |
Correct |
9 ms |
15848 KB |
Output is correct |
72 |
Correct |
8 ms |
15828 KB |
Output is correct |
73 |
Incorrect |
197 ms |
64864 KB |
Unexpected end of file - token expected |
74 |
Halted |
0 ms |
0 KB |
- |