oj.uz

Submission #1039545

# Submission time Handle Problem Language Result Execution time Memory
1039545 2024-07-31T04:14:33 Z DucNguyen2007 Mergers (JOI19_mergers) C++14
100 / 100
 890 ms 169748 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pii pair<int,int>
#define pll pair<ll,ll>
#define fi first
#define se second
const int maxN=5e5+5,LG=__lg(maxN)+5;
const ll inf=2e18;
int n,k,a[maxN+1],num[maxN+1],timer=0,h[maxN+1],up[maxN+1][LG+1],f[maxN+1];
vector<int> adj[maxN+1],vec[maxN+1],nadj[maxN+1];
void dfs(int u)
{
    num[u]=++timer;
    for(auto v:adj[u])
    {
        if(v==up[u][0])
        {
            continue;
        }
        up[v][0]=u;
        h[v]=h[u]+1;
        for(int j=1;j<=LG;j++)
        {
            up[v][j]=up[up[v][j-1]][j-1];
        }
        dfs(v);
    }
}
int lca(int u,int v)
{
    if(h[u]<h[v])
    {
        swap(u,v);
    }
    for(int j=LG;j>=0;j--)
    {
        if(h[up[u][j]]>=h[v])
        {
            u=up[u][j];
        }
    }
    if(u==v)
    {
        return u;
    }
    for(int j=LG;j>=0;j--)
    {
        if(up[u][j]!=up[v][j])
        {
            u=up[u][j];
            v=up[v][j];
        }
    }
    return up[u][0];
}
void dfs1(int u)
{
    for(auto v:adj[u])
    {
        if(v!=up[u][0])
        {
            dfs1(v);
            f[u]+=f[v];
        }
    }
}
void dfs2(int u,int p)
{
    for(auto v:adj[u])
    {
        if(v!=up[u][0])
        {
            int nv=p;
            if(!f[v])
            {
                //cout<<u<<" "<<v<<'\n';
                nadj[v].push_back(p);
                nadj[p].push_back(v);
                nv=v;
            }
            dfs2(v,nv);
        }
    }
}
int main()
{
    //freopen("","r",stdin);
    //freopen("","w",stdout);
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin>>n>>k;
    for(int i=1;i<n;i++)
    {
        int u,v;
        cin>>u>>v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    h[1]=1;
    dfs(1);
    for(int i=1;i<=n;i++)
    {
        cin>>a[i];
        vec[a[i]].push_back(i);
    }
    for(int i=1;i<=k;i++)
    {
        sort(vec[i].begin(),vec[i].end(),[&](int x,int y)
        {
            return num[x]<num[y];
        });
        int len=vec[i].size();
        if(len==1)
        {
            continue;
        }
        for(int j=0;j<len;j++)
        {
            int u=vec[i][j],v=vec[i][(j+1)%len];
            f[u]++;
            f[lca(u,v)]--;
        }
    }
    dfs1(1);
    dfs2(1,1);
    int cnt=0;
    for(int i=1;i<=n;i++)
    {
        cnt+=(nadj[i].size()==1);
    }
    cout<<(cnt+1)/2;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 35676 KB Output is correct
2 Correct 16 ms 35672 KB Output is correct
3 Correct 16 ms 35704 KB Output is correct
4 Correct 16 ms 35664 KB Output is correct
5 Correct 18 ms 35676 KB Output is correct
6 Correct 16 ms 35672 KB Output is correct
7 Correct 16 ms 35676 KB Output is correct
8 Correct 19 ms 35676 KB Output is correct
9 Correct 18 ms 35672 KB Output is correct
10 Correct 16 ms 35676 KB Output is correct
11 Correct 15 ms 35696 KB Output is correct
12 Correct 16 ms 35676 KB Output is correct
13 Correct 15 ms 35696 KB Output is correct
14 Correct 16 ms 35676 KB Output is correct
15 Correct 15 ms 35676 KB Output is correct
16 Correct 15 ms 35676 KB Output is correct
17 Correct 21 ms 35700 KB Output is correct
18 Correct 19 ms 35672 KB Output is correct
19 Correct 22 ms 35676 KB Output is correct
20 Correct 16 ms 35672 KB Output is correct
21 Correct 17 ms 35676 KB Output is correct
22 Correct 18 ms 35676 KB Output is correct
23 Correct 16 ms 35672 KB Output is correct
24 Correct 16 ms 35728 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 35676 KB Output is correct
2 Correct 16 ms 35672 KB Output is correct
3 Correct 16 ms 35704 KB Output is correct
4 Correct 16 ms 35664 KB Output is correct
5 Correct 18 ms 35676 KB Output is correct
6 Correct 16 ms 35672 KB Output is correct
7 Correct 16 ms 35676 KB Output is correct
8 Correct 19 ms 35676 KB Output is correct
9 Correct 18 ms 35672 KB Output is correct
10 Correct 16 ms 35676 KB Output is correct
11 Correct 15 ms 35696 KB Output is correct
12 Correct 16 ms 35676 KB Output is correct
13 Correct 15 ms 35696 KB Output is correct
14 Correct 16 ms 35676 KB Output is correct
15 Correct 15 ms 35676 KB Output is correct
16 Correct 15 ms 35676 KB Output is correct
17 Correct 21 ms 35700 KB Output is correct
18 Correct 19 ms 35672 KB Output is correct
19 Correct 22 ms 35676 KB Output is correct
20 Correct 16 ms 35672 KB Output is correct
21 Correct 17 ms 35676 KB Output is correct
22 Correct 18 ms 35676 KB Output is correct
23 Correct 16 ms 35672 KB Output is correct
24 Correct 16 ms 35728 KB Output is correct
25 Correct 18 ms 35672 KB Output is correct
26 Correct 22 ms 36208 KB Output is correct
27 Correct 19 ms 36184 KB Output is correct
28 Correct 18 ms 36444 KB Output is correct
29 Correct 18 ms 36188 KB Output is correct
30 Correct 17 ms 36188 KB Output is correct
31 Correct 17 ms 35676 KB Output is correct
32 Correct 17 ms 36468 KB Output is correct
33 Correct 16 ms 35676 KB Output is correct
34 Correct 17 ms 36032 KB Output is correct
35 Correct 18 ms 36188 KB Output is correct
36 Correct 17 ms 36060 KB Output is correct
37 Correct 21 ms 36188 KB Output is correct
38 Correct 15 ms 35676 KB Output is correct
39 Correct 18 ms 36184 KB Output is correct
40 Correct 19 ms 36184 KB Output is correct
41 Correct 18 ms 36188 KB Output is correct
42 Correct 17 ms 36188 KB Output is correct
43 Correct 16 ms 36308 KB Output is correct
44 Correct 15 ms 35672 KB Output is correct
45 Correct 17 ms 36184 KB Output is correct
46 Correct 17 ms 36188 KB Output is correct
47 Correct 18 ms 35676 KB Output is correct
48 Correct 18 ms 36220 KB Output is correct
49 Correct 17 ms 36184 KB Output is correct
50 Correct 18 ms 36188 KB Output is correct
51 Correct 18 ms 36188 KB Output is correct
52 Correct 17 ms 36188 KB Output is correct
53 Correct 17 ms 36188 KB Output is correct
54 Correct 19 ms 36188 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 35676 KB Output is correct
2 Correct 16 ms 35672 KB Output is correct
3 Correct 16 ms 35704 KB Output is correct
4 Correct 16 ms 35664 KB Output is correct
5 Correct 18 ms 35676 KB Output is correct
6 Correct 16 ms 35672 KB Output is correct
7 Correct 16 ms 35676 KB Output is correct
8 Correct 19 ms 35676 KB Output is correct
9 Correct 18 ms 35672 KB Output is correct
10 Correct 16 ms 35676 KB Output is correct
11 Correct 15 ms 35696 KB Output is correct
12 Correct 16 ms 35676 KB Output is correct
13 Correct 15 ms 35696 KB Output is correct
14 Correct 16 ms 35676 KB Output is correct
15 Correct 15 ms 35676 KB Output is correct
16 Correct 15 ms 35676 KB Output is correct
17 Correct 21 ms 35700 KB Output is correct
18 Correct 19 ms 35672 KB Output is correct
19 Correct 22 ms 35676 KB Output is correct
20 Correct 16 ms 35672 KB Output is correct
21 Correct 17 ms 35676 KB Output is correct
22 Correct 18 ms 35676 KB Output is correct
23 Correct 16 ms 35672 KB Output is correct
24 Correct 16 ms 35728 KB Output is correct
25 Correct 16 ms 35672 KB Output is correct
26 Correct 90 ms 52448 KB Output is correct
27 Correct 88 ms 51808 KB Output is correct
28 Correct 21 ms 36188 KB Output is correct
29 Correct 16 ms 35676 KB Output is correct
30 Correct 15 ms 35732 KB Output is correct
31 Correct 82 ms 51668 KB Output is correct
32 Correct 17 ms 36188 KB Output is correct
33 Correct 117 ms 58964 KB Output is correct
34 Correct 96 ms 51796 KB Output is correct
35 Correct 17 ms 36188 KB Output is correct
36 Correct 96 ms 52308 KB Output is correct
37 Correct 17 ms 36068 KB Output is correct
38 Correct 17 ms 36144 KB Output is correct
39 Correct 83 ms 51952 KB Output is correct
40 Correct 17 ms 36188 KB Output is correct
41 Correct 85 ms 51600 KB Output is correct
42 Correct 107 ms 54096 KB Output is correct
43 Correct 16 ms 35676 KB Output is correct
44 Correct 119 ms 59008 KB Output is correct
45 Correct 109 ms 55592 KB Output is correct
46 Correct 17 ms 36184 KB Output is correct
47 Correct 17 ms 35996 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 52104 KB Output is correct
2 Correct 79 ms 58056 KB Output is correct
3 Correct 21 ms 36208 KB Output is correct
4 Correct 17 ms 36216 KB Output is correct
5 Correct 16 ms 35676 KB Output is correct
6 Correct 15 ms 35676 KB Output is correct
7 Correct 17 ms 36188 KB Output is correct
8 Correct 94 ms 53328 KB Output is correct
9 Correct 17 ms 36188 KB Output is correct
10 Correct 93 ms 51960 KB Output is correct
11 Correct 17 ms 35932 KB Output is correct
12 Correct 96 ms 51796 KB Output is correct
13 Correct 95 ms 53592 KB Output is correct
14 Correct 90 ms 57936 KB Output is correct
15 Correct 77 ms 52120 KB Output is correct
16 Correct 17 ms 36100 KB Output is correct
17 Correct 16 ms 35676 KB Output is correct
18 Correct 93 ms 57416 KB Output is correct
19 Correct 103 ms 61588 KB Output is correct
20 Correct 17 ms 36184 KB Output is correct
21 Correct 17 ms 35672 KB Output is correct
22 Correct 101 ms 53824 KB Output is correct
23 Correct 17 ms 36184 KB Output is correct
24 Correct 92 ms 52560 KB Output is correct
25 Correct 98 ms 60240 KB Output is correct
26 Correct 16 ms 36188 KB Output is correct
27 Correct 22 ms 36184 KB Output is correct
28 Correct 17 ms 36184 KB Output is correct
29 Correct 17 ms 36184 KB Output is correct
30 Correct 17 ms 36188 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 35676 KB Output is correct
2 Correct 16 ms 35672 KB Output is correct
3 Correct 16 ms 35704 KB Output is correct
4 Correct 16 ms 35664 KB Output is correct
5 Correct 18 ms 35676 KB Output is correct
6 Correct 16 ms 35672 KB Output is correct
7 Correct 16 ms 35676 KB Output is correct
8 Correct 19 ms 35676 KB Output is correct
9 Correct 18 ms 35672 KB Output is correct
10 Correct 16 ms 35676 KB Output is correct
11 Correct 15 ms 35696 KB Output is correct
12 Correct 16 ms 35676 KB Output is correct
13 Correct 15 ms 35696 KB Output is correct
14 Correct 16 ms 35676 KB Output is correct
15 Correct 15 ms 35676 KB Output is correct
16 Correct 15 ms 35676 KB Output is correct
17 Correct 21 ms 35700 KB Output is correct
18 Correct 19 ms 35672 KB Output is correct
19 Correct 22 ms 35676 KB Output is correct
20 Correct 16 ms 35672 KB Output is correct
21 Correct 17 ms 35676 KB Output is correct
22 Correct 18 ms 35676 KB Output is correct
23 Correct 16 ms 35672 KB Output is correct
24 Correct 16 ms 35728 KB Output is correct
25 Correct 18 ms 35672 KB Output is correct
26 Correct 22 ms 36208 KB Output is correct
27 Correct 19 ms 36184 KB Output is correct
28 Correct 18 ms 36444 KB Output is correct
29 Correct 18 ms 36188 KB Output is correct
30 Correct 17 ms 36188 KB Output is correct
31 Correct 17 ms 35676 KB Output is correct
32 Correct 17 ms 36468 KB Output is correct
33 Correct 16 ms 35676 KB Output is correct
34 Correct 17 ms 36032 KB Output is correct
35 Correct 18 ms 36188 KB Output is correct
36 Correct 17 ms 36060 KB Output is correct
37 Correct 21 ms 36188 KB Output is correct
38 Correct 15 ms 35676 KB Output is correct
39 Correct 18 ms 36184 KB Output is correct
40 Correct 19 ms 36184 KB Output is correct
41 Correct 18 ms 36188 KB Output is correct
42 Correct 17 ms 36188 KB Output is correct
43 Correct 16 ms 36308 KB Output is correct
44 Correct 15 ms 35672 KB Output is correct
45 Correct 17 ms 36184 KB Output is correct
46 Correct 17 ms 36188 KB Output is correct
47 Correct 18 ms 35676 KB Output is correct
48 Correct 18 ms 36220 KB Output is correct
49 Correct 17 ms 36184 KB Output is correct
50 Correct 18 ms 36188 KB Output is correct
51 Correct 18 ms 36188 KB Output is correct
52 Correct 17 ms 36188 KB Output is correct
53 Correct 17 ms 36188 KB Output is correct
54 Correct 19 ms 36188 KB Output is correct
55 Correct 16 ms 35672 KB Output is correct
56 Correct 90 ms 52448 KB Output is correct
57 Correct 88 ms 51808 KB Output is correct
58 Correct 21 ms 36188 KB Output is correct
59 Correct 16 ms 35676 KB Output is correct
60 Correct 15 ms 35732 KB Output is correct
61 Correct 82 ms 51668 KB Output is correct
62 Correct 17 ms 36188 KB Output is correct
63 Correct 117 ms 58964 KB Output is correct
64 Correct 96 ms 51796 KB Output is correct
65 Correct 17 ms 36188 KB Output is correct
66 Correct 96 ms 52308 KB Output is correct
67 Correct 17 ms 36068 KB Output is correct
68 Correct 17 ms 36144 KB Output is correct
69 Correct 83 ms 51952 KB Output is correct
70 Correct 17 ms 36188 KB Output is correct
71 Correct 85 ms 51600 KB Output is correct
72 Correct 107 ms 54096 KB Output is correct
73 Correct 16 ms 35676 KB Output is correct
74 Correct 119 ms 59008 KB Output is correct
75 Correct 109 ms 55592 KB Output is correct
76 Correct 17 ms 36184 KB Output is correct
77 Correct 17 ms 35996 KB Output is correct
78 Correct 72 ms 52104 KB Output is correct
79 Correct 79 ms 58056 KB Output is correct
80 Correct 21 ms 36208 KB Output is correct
81 Correct 17 ms 36216 KB Output is correct
82 Correct 16 ms 35676 KB Output is correct
83 Correct 15 ms 35676 KB Output is correct
84 Correct 17 ms 36188 KB Output is correct
85 Correct 94 ms 53328 KB Output is correct
86 Correct 17 ms 36188 KB Output is correct
87 Correct 93 ms 51960 KB Output is correct
88 Correct 17 ms 35932 KB Output is correct
89 Correct 96 ms 51796 KB Output is correct
90 Correct 95 ms 53592 KB Output is correct
91 Correct 90 ms 57936 KB Output is correct
92 Correct 77 ms 52120 KB Output is correct
93 Correct 17 ms 36100 KB Output is correct
94 Correct 16 ms 35676 KB Output is correct
95 Correct 93 ms 57416 KB Output is correct
96 Correct 103 ms 61588 KB Output is correct
97 Correct 17 ms 36184 KB Output is correct
98 Correct 17 ms 35672 KB Output is correct
99 Correct 101 ms 53824 KB Output is correct
100 Correct 17 ms 36184 KB Output is correct
101 Correct 92 ms 52560 KB Output is correct
102 Correct 98 ms 60240 KB Output is correct
103 Correct 16 ms 36188 KB Output is correct
104 Correct 22 ms 36184 KB Output is correct
105 Correct 17 ms 36184 KB Output is correct
106 Correct 17 ms 36184 KB Output is correct
107 Correct 17 ms 36188 KB Output is correct
108 Correct 461 ms 125884 KB Output is correct
109 Correct 874 ms 134120 KB Output is correct
110 Correct 859 ms 145344 KB Output is correct
111 Correct 890 ms 169748 KB Output is correct
112 Correct 722 ms 154788 KB Output is correct
113 Correct 481 ms 146220 KB Output is correct
114 Correct 591 ms 116328 KB Output is correct
115 Correct 604 ms 116156 KB Output is correct
116 Correct 691 ms 120916 KB Output is correct
117 Correct 633 ms 148312 KB Output is correct
118 Correct 541 ms 116564 KB Output is correct
119 Correct 618 ms 148304 KB Output is correct
120 Correct 774 ms 161744 KB Output is correct
121 Correct 634 ms 148300 KB Output is correct
122 Correct 704 ms 128968 KB Output is correct
123 Correct 507 ms 149436 KB Output is correct
124 Correct 771 ms 140148 KB Output is correct