oj.uz

Submission #772768

# Submission time Handle Problem Language Result Execution time Memory
772768 2023-07-04T11:03:51 Z I_Love_EliskaM_ Rectangles (IOI19_rect) C++14
72 / 100
 3010 ms 396080 KB 
    #include "rect.h"
    //#pragma GCC optimize("O3","unroint-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);
    	}
    };
    int 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);
     
    	int 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) {
    		int 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[l+1][r][i]=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[l+1][r][i]=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));
     
    	int ans=0;
    	int N=v.size();
    	map<int,int> 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[b][d][i];
    			}
    			for (int i=b; i<=d; ++i) {
    				ok&=dp2[a][c][i];
    			}
    			ans+=ok;
    		}
    	}
    	return ans;
    }

Compilation message

rect.cpp: In function 'int wrong(std::vector<std::vector<int> >)':
rect.cpp:83:12: warning: unused variable 'x' [-Wunused-variable]
   83 |        int x=it/m, y=it%m;
      |            ^
rect.cpp:83:20: warning: unused variable 'y' [-Wunused-variable]
   83 |        int x=it/m, y=it%m;
      |                    ^

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Correct 11 ms 16400 KB Output is correct
3 Correct 9 ms 16340 KB Output is correct
4 Correct 9 ms 16340 KB Output is correct
5 Correct 9 ms 16340 KB Output is correct
6 Correct 9 ms 16388 KB Output is correct
7 Correct 10 ms 16212 KB Output is correct
8 Correct 8 ms 16060 KB Output is correct
9 Correct 9 ms 16312 KB Output is correct
10 Correct 9 ms 16340 KB Output is correct
11 Correct 8 ms 16276 KB Output is correct
12 Correct 9 ms 16340 KB Output is correct
13 Correct 8 ms 15828 KB Output is correct
14 Correct 8 ms 15828 KB Output is correct
15 Correct 8 ms 15900 KB Output is correct
16 Correct 8 ms 15884 KB Output is correct
17 Correct 8 ms 15828 KB Output is correct
18 Correct 9 ms 15828 KB Output is correct
19 Correct 8 ms 15884 KB Output is correct
20 Correct 8 ms 15888 KB Output is correct
21 Correct 9 ms 15888 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Correct 11 ms 16400 KB Output is correct
3 Correct 9 ms 16340 KB Output is correct
4 Correct 9 ms 16340 KB Output is correct
5 Correct 9 ms 16340 KB Output is correct
6 Correct 9 ms 16388 KB Output is correct
7 Correct 10 ms 16212 KB Output is correct
8 Correct 8 ms 16060 KB Output is correct
9 Correct 9 ms 16312 KB Output is correct
10 Correct 9 ms 16340 KB Output is correct
11 Correct 8 ms 16276 KB Output is correct
12 Correct 9 ms 16340 KB Output is correct
13 Correct 8 ms 15828 KB Output is correct
14 Correct 8 ms 15828 KB Output is correct
15 Correct 8 ms 15900 KB Output is correct
16 Correct 8 ms 15884 KB Output is correct
17 Correct 8 ms 15828 KB Output is correct
18 Correct 9 ms 15828 KB Output is correct
19 Correct 8 ms 15884 KB Output is correct
20 Correct 8 ms 15888 KB Output is correct
21 Correct 9 ms 15888 KB Output is correct
22 Correct 12 ms 17852 KB Output is correct
23 Correct 12 ms 17840 KB Output is correct
24 Correct 15 ms 17816 KB Output is correct
25 Correct 12 ms 17748 KB Output is correct
26 Correct 13 ms 17716 KB Output is correct
27 Correct 13 ms 17748 KB Output is correct
28 Correct 12 ms 17748 KB Output is correct
29 Correct 11 ms 17176 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Correct 11 ms 16400 KB Output is correct
3 Correct 9 ms 16340 KB Output is correct
4 Correct 9 ms 16340 KB Output is correct
5 Correct 9 ms 16340 KB Output is correct
6 Correct 9 ms 16388 KB Output is correct
7 Correct 10 ms 16212 KB Output is correct
8 Correct 8 ms 16060 KB Output is correct
9 Correct 9 ms 16312 KB Output is correct
10 Correct 9 ms 16340 KB Output is correct
11 Correct 8 ms 16276 KB Output is correct
12 Correct 9 ms 16340 KB Output is correct
13 Correct 8 ms 15828 KB Output is correct
14 Correct 8 ms 15828 KB Output is correct
15 Correct 8 ms 15900 KB Output is correct
16 Correct 8 ms 15884 KB Output is correct
17 Correct 12 ms 17852 KB Output is correct
18 Correct 12 ms 17840 KB Output is correct
19 Correct 15 ms 17816 KB Output is correct
20 Correct 12 ms 17748 KB Output is correct
21 Correct 13 ms 17716 KB Output is correct
22 Correct 13 ms 17748 KB Output is correct
23 Correct 12 ms 17748 KB Output is correct
24 Correct 11 ms 17176 KB Output is correct
25 Correct 8 ms 15828 KB Output is correct
26 Correct 9 ms 15828 KB Output is correct
27 Correct 8 ms 15884 KB Output is correct
28 Correct 8 ms 15888 KB Output is correct
29 Correct 9 ms 15888 KB Output is correct
30 Correct 64 ms 24644 KB Output is correct
31 Correct 53 ms 24660 KB Output is correct
32 Correct 53 ms 24652 KB Output is correct
33 Correct 35 ms 23744 KB Output is correct
34 Correct 46 ms 24376 KB Output is correct
35 Correct 54 ms 24524 KB Output is correct
36 Correct 48 ms 24268 KB Output is correct
37 Correct 45 ms 24264 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Correct 11 ms 16400 KB Output is correct
3 Correct 9 ms 16340 KB Output is correct
4 Correct 9 ms 16340 KB Output is correct
5 Correct 9 ms 16340 KB Output is correct
6 Correct 9 ms 16388 KB Output is correct
7 Correct 10 ms 16212 KB Output is correct
8 Correct 8 ms 16060 KB Output is correct
9 Correct 9 ms 16312 KB Output is correct
10 Correct 9 ms 16340 KB Output is correct
11 Correct 8 ms 16276 KB Output is correct
12 Correct 9 ms 16340 KB Output is correct
13 Correct 8 ms 15828 KB Output is correct
14 Correct 8 ms 15828 KB Output is correct
15 Correct 8 ms 15900 KB Output is correct
16 Correct 8 ms 15884 KB Output is correct
17 Correct 12 ms 17852 KB Output is correct
18 Correct 12 ms 17840 KB Output is correct
19 Correct 15 ms 17816 KB Output is correct
20 Correct 12 ms 17748 KB Output is correct
21 Correct 13 ms 17716 KB Output is correct
22 Correct 13 ms 17748 KB Output is correct
23 Correct 12 ms 17748 KB Output is correct
24 Correct 11 ms 17176 KB Output is correct
25 Correct 64 ms 24644 KB Output is correct
26 Correct 53 ms 24660 KB Output is correct
27 Correct 53 ms 24652 KB Output is correct
28 Correct 35 ms 23744 KB Output is correct
29 Correct 46 ms 24376 KB Output is correct
30 Correct 54 ms 24524 KB Output is correct
31 Correct 48 ms 24268 KB Output is correct
32 Correct 45 ms 24264 KB Output is correct
33 Correct 8 ms 15828 KB Output is correct
34 Correct 9 ms 15828 KB Output is correct
35 Correct 8 ms 15884 KB Output is correct
36 Correct 8 ms 15888 KB Output is correct
37 Correct 9 ms 15888 KB Output is correct
38 Correct 2211 ms 78188 KB Output is correct
39 Correct 2352 ms 78244 KB Output is correct
40 Correct 2185 ms 78140 KB Output is correct
41 Correct 2267 ms 78204 KB Output is correct
42 Correct 3010 ms 101064 KB Output is correct
43 Correct 2860 ms 100908 KB Output is correct
44 Correct 2933 ms 101364 KB Output is correct
45 Correct 2535 ms 96224 KB Output is correct
46 Correct 108 ms 44408 KB Output is correct
47 Correct 2222 ms 90528 KB Output is correct
48 Correct 2681 ms 98836 KB Output is correct
49 Correct 2596 ms 100736 KB Output is correct
50 Correct 821 ms 66836 KB Output is correct
51 Correct 861 ms 64708 KB Output is correct
52 Correct 2528 ms 95836 KB Output is correct
53 Correct 2604 ms 97168 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 15900 KB Output is correct
2 Correct 11 ms 15956 KB Output is correct
3 Correct 8 ms 15880 KB Output is correct
4 Correct 8 ms 15828 KB Output is correct
5 Correct 8 ms 15868 KB Output is correct
6 Correct 10 ms 15896 KB Output is correct
7 Correct 8 ms 15900 KB Output is correct
8 Correct 8 ms 15956 KB Output is correct
9 Correct 11 ms 15912 KB Output is correct
10 Correct 8 ms 15828 KB Output is correct
11 Correct 9 ms 15908 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15828 KB Output is correct
2 Correct 9 ms 15828 KB Output is correct
3 Correct 8 ms 15884 KB Output is correct
4 Correct 8 ms 15888 KB Output is correct
5 Correct 9 ms 15888 KB Output is correct
6 Correct 8 ms 15888 KB Output is correct
7 Correct 648 ms 187720 KB Output is correct
8 Correct 1464 ms 388616 KB Output is correct
9 Correct 1450 ms 390548 KB Output is correct
10 Correct 1451 ms 390664 KB Output is correct
11 Correct 550 ms 207908 KB Output is correct
12 Correct 1119 ms 375700 KB Output is correct
13 Correct 1246 ms 396080 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15956 KB Output is correct
2 Correct 11 ms 16400 KB Output is correct
3 Correct 9 ms 16340 KB Output is correct
4 Correct 9 ms 16340 KB Output is correct
5 Correct 9 ms 16340 KB Output is correct
6 Correct 9 ms 16388 KB Output is correct
7 Correct 10 ms 16212 KB Output is correct
8 Correct 8 ms 16060 KB Output is correct
9 Correct 9 ms 16312 KB Output is correct
10 Correct 9 ms 16340 KB Output is correct
11 Correct 8 ms 16276 KB Output is correct
12 Correct 9 ms 16340 KB Output is correct
13 Correct 8 ms 15828 KB Output is correct
14 Correct 8 ms 15828 KB Output is correct
15 Correct 8 ms 15900 KB Output is correct
16 Correct 8 ms 15884 KB Output is correct
17 Correct 12 ms 17852 KB Output is correct
18 Correct 12 ms 17840 KB Output is correct
19 Correct 15 ms 17816 KB Output is correct
20 Correct 12 ms 17748 KB Output is correct
21 Correct 13 ms 17716 KB Output is correct
22 Correct 13 ms 17748 KB Output is correct
23 Correct 12 ms 17748 KB Output is correct
24 Correct 11 ms 17176 KB Output is correct
25 Correct 64 ms 24644 KB Output is correct
26 Correct 53 ms 24660 KB Output is correct
27 Correct 53 ms 24652 KB Output is correct
28 Correct 35 ms 23744 KB Output is correct
29 Correct 46 ms 24376 KB Output is correct
30 Correct 54 ms 24524 KB Output is correct
31 Correct 48 ms 24268 KB Output is correct
32 Correct 45 ms 24264 KB Output is correct
33 Correct 2211 ms 78188 KB Output is correct
34 Correct 2352 ms 78244 KB Output is correct
35 Correct 2185 ms 78140 KB Output is correct
36 Correct 2267 ms 78204 KB Output is correct
37 Correct 3010 ms 101064 KB Output is correct
38 Correct 2860 ms 100908 KB Output is correct
39 Correct 2933 ms 101364 KB Output is correct
40 Correct 2535 ms 96224 KB Output is correct
41 Correct 108 ms 44408 KB Output is correct
42 Correct 2222 ms 90528 KB Output is correct
43 Correct 2681 ms 98836 KB Output is correct
44 Correct 2596 ms 100736 KB Output is correct
45 Correct 821 ms 66836 KB Output is correct
46 Correct 861 ms 64708 KB Output is correct
47 Correct 2528 ms 95836 KB Output is correct
48 Correct 2604 ms 97168 KB Output is correct
49 Correct 12 ms 15900 KB Output is correct
50 Correct 11 ms 15956 KB Output is correct
51 Correct 8 ms 15880 KB Output is correct
52 Correct 8 ms 15828 KB Output is correct
53 Correct 8 ms 15868 KB Output is correct
54 Correct 10 ms 15896 KB Output is correct
55 Correct 8 ms 15900 KB Output is correct
56 Correct 8 ms 15956 KB Output is correct
57 Correct 11 ms 15912 KB Output is correct
58 Correct 8 ms 15828 KB Output is correct
59 Correct 9 ms 15908 KB Output is correct
60 Correct 8 ms 15888 KB Output is correct
61 Correct 648 ms 187720 KB Output is correct
62 Correct 1464 ms 388616 KB Output is correct
63 Correct 1450 ms 390548 KB Output is correct
64 Correct 1451 ms 390664 KB Output is correct
65 Correct 550 ms 207908 KB Output is correct
66 Correct 1119 ms 375700 KB Output is correct
67 Correct 1246 ms 396080 KB Output is correct
68 Correct 8 ms 15828 KB Output is correct
69 Correct 9 ms 15828 KB Output is correct
70 Correct 8 ms 15884 KB Output is correct
71 Correct 8 ms 15888 KB Output is correct
72 Correct 9 ms 15888 KB Output is correct
73 Incorrect 246 ms 73400 KB Unexpected end of file - token expected
74 Halted 0 ms 0 KB -