oj.uz

Submission #919126

# Submission time Handle Problem Language Result Execution time Memory
919126 2024-01-31T10:49:16 Z ttamx Mergers (JOI19_mergers) C++14
100 / 100
 884 ms 113228 KB 
#include<bits/stdc++.h>

using namespace std;

const int N=5e5+5;

int n,k;
pair<int,int> edge[N];
vector<int> adj[N],comp[N];
int sz[N],hv[N],lv[N],hd[N],pa[N];
int a[N],deg[N];
int fa[N];

int fp(int u){
    return fa[u]=fa[u]==u?u:fp(fa[u]);
}

void uni(int u,int v){
    fa[fp(u)]=fp(v);
}

void dfs(int u,int p=0){
    pa[u]=p;
    sz[u]=1;
    for(auto v:adj[u])if(v!=p){
        lv[v]=lv[u]+1;
        dfs(v,u);
        sz[u]+=sz[v];
        if(sz[v]>sz[hv[u]])hv[u]=v;
    }
}

void hld(int u,int p=0){
    if(!hd[u])hd[u]=u;
    if(hv[u])hd[hv[u]]=hd[u],hld(hv[u],u);
    for(auto v:adj[u])if(v!=p&&v!=hv[u])hld(v,u);
}

int lca(int u,int v){
    while(hd[u]!=hd[v]){
        if(lv[hd[u]]<lv[hd[v]])swap(u,v);
        u=pa[hd[u]];
    }
    return lv[u]<lv[v]?u:v;
}

void dfs2(int u,int p=0){
    for(auto v:adj[u])if(v!=p){
        dfs2(v,u);
        a[u]+=a[v];
        if(a[v])uni(u,v);
    }
}

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> k;
    for(int i=1;i<n;i++){
        auto &[u,v]=edge[i];
        cin >> u >> v;
        adj[u].emplace_back(v);
        adj[v].emplace_back(u);
    }
    for(int i=1;i<=n;i++){
        int x;
        cin >> x;
        comp[x].emplace_back(i);
    }
    dfs(1);
    hld(1);
    for(int i=1;i<=k;i++){
        for(int j=1;j<comp[i].size();j++){
            int u=comp[i][j-1],v=comp[i][j];
            a[u]++,a[v]++,a[lca(u,v)]-=2;
        }
    }
    iota(fa+1,fa+n+1,1);
    dfs2(1);
    for(int i=1;i<n;i++){
        auto [u,v]=edge[i];
        u=fp(u),v=fp(v);
        if(u!=v)deg[u]++,deg[v]++;
    }
    int ans=0;
    for(int i=1;i<=n;i++)ans+=deg[i]==1;
    cout << (ans+1)/2;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:59:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   59 |         auto &[u,v]=edge[i];
      |               ^
mergers.cpp:72:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |         for(int j=1;j<comp[i].size();j++){
      |                     ~^~~~~~~~~~~~~~~
mergers.cpp:80:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   80 |         auto [u,v]=edge[i];
      |              ^

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 33112 KB Output is correct
2 Correct 8 ms 33116 KB Output is correct
3 Correct 9 ms 33500 KB Output is correct
4 Correct 9 ms 33112 KB Output is correct
5 Correct 8 ms 31064 KB Output is correct
6 Correct 8 ms 31068 KB Output is correct
7 Correct 7 ms 29020 KB Output is correct
8 Correct 8 ms 31064 KB Output is correct
9 Correct 9 ms 33112 KB Output is correct
10 Correct 8 ms 33116 KB Output is correct
11 Correct 8 ms 33116 KB Output is correct
12 Correct 9 ms 33112 KB Output is correct
13 Correct 8 ms 33112 KB Output is correct
14 Correct 9 ms 33116 KB Output is correct
15 Correct 9 ms 33112 KB Output is correct
16 Correct 8 ms 31068 KB Output is correct
17 Correct 8 ms 33112 KB Output is correct
18 Correct 8 ms 31068 KB Output is correct
19 Correct 9 ms 31064 KB Output is correct
20 Correct 8 ms 31068 KB Output is correct
21 Correct 7 ms 31064 KB Output is correct
22 Correct 8 ms 31064 KB Output is correct
23 Correct 8 ms 31064 KB Output is correct
24 Correct 8 ms 33116 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 33112 KB Output is correct
2 Correct 8 ms 33116 KB Output is correct
3 Correct 9 ms 33500 KB Output is correct
4 Correct 9 ms 33112 KB Output is correct
5 Correct 8 ms 31064 KB Output is correct
6 Correct 8 ms 31068 KB Output is correct
7 Correct 7 ms 29020 KB Output is correct
8 Correct 8 ms 31064 KB Output is correct
9 Correct 9 ms 33112 KB Output is correct
10 Correct 8 ms 33116 KB Output is correct
11 Correct 8 ms 33116 KB Output is correct
12 Correct 9 ms 33112 KB Output is correct
13 Correct 8 ms 33112 KB Output is correct
14 Correct 9 ms 33116 KB Output is correct
15 Correct 9 ms 33112 KB Output is correct
16 Correct 8 ms 31068 KB Output is correct
17 Correct 8 ms 33112 KB Output is correct
18 Correct 8 ms 31068 KB Output is correct
19 Correct 9 ms 31064 KB Output is correct
20 Correct 8 ms 31068 KB Output is correct
21 Correct 7 ms 31064 KB Output is correct
22 Correct 8 ms 31064 KB Output is correct
23 Correct 8 ms 31064 KB Output is correct
24 Correct 8 ms 33116 KB Output is correct
25 Correct 9 ms 33112 KB Output is correct
26 Correct 10 ms 33372 KB Output is correct
27 Correct 9 ms 33368 KB Output is correct
28 Correct 10 ms 33628 KB Output is correct
29 Correct 10 ms 33556 KB Output is correct
30 Correct 10 ms 33368 KB Output is correct
31 Correct 8 ms 33112 KB Output is correct
32 Correct 10 ms 33624 KB Output is correct
33 Correct 8 ms 33112 KB Output is correct
34 Correct 9 ms 31320 KB Output is correct
35 Correct 9 ms 31320 KB Output is correct
36 Correct 9 ms 33368 KB Output is correct
37 Correct 11 ms 33368 KB Output is correct
38 Correct 8 ms 33112 KB Output is correct
39 Correct 10 ms 33368 KB Output is correct
40 Correct 10 ms 31252 KB Output is correct
41 Correct 10 ms 33368 KB Output is correct
42 Correct 9 ms 33372 KB Output is correct
43 Correct 9 ms 31576 KB Output is correct
44 Correct 8 ms 33116 KB Output is correct
45 Correct 11 ms 33624 KB Output is correct
46 Correct 10 ms 33372 KB Output is correct
47 Correct 8 ms 33112 KB Output is correct
48 Correct 10 ms 33372 KB Output is correct
49 Correct 10 ms 31320 KB Output is correct
50 Correct 9 ms 31576 KB Output is correct
51 Correct 10 ms 33368 KB Output is correct
52 Correct 9 ms 31576 KB Output is correct
53 Correct 10 ms 33368 KB Output is correct
54 Correct 10 ms 31320 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 33112 KB Output is correct
2 Correct 8 ms 33116 KB Output is correct
3 Correct 9 ms 33500 KB Output is correct
4 Correct 9 ms 33112 KB Output is correct
5 Correct 8 ms 31064 KB Output is correct
6 Correct 8 ms 31068 KB Output is correct
7 Correct 7 ms 29020 KB Output is correct
8 Correct 8 ms 31064 KB Output is correct
9 Correct 9 ms 33112 KB Output is correct
10 Correct 8 ms 33116 KB Output is correct
11 Correct 8 ms 33116 KB Output is correct
12 Correct 9 ms 33112 KB Output is correct
13 Correct 8 ms 33112 KB Output is correct
14 Correct 9 ms 33116 KB Output is correct
15 Correct 9 ms 33112 KB Output is correct
16 Correct 8 ms 31068 KB Output is correct
17 Correct 8 ms 33112 KB Output is correct
18 Correct 8 ms 31068 KB Output is correct
19 Correct 9 ms 31064 KB Output is correct
20 Correct 8 ms 31068 KB Output is correct
21 Correct 7 ms 31064 KB Output is correct
22 Correct 8 ms 31064 KB Output is correct
23 Correct 8 ms 31064 KB Output is correct
24 Correct 8 ms 33116 KB Output is correct
25 Correct 9 ms 33112 KB Output is correct
26 Correct 44 ms 41364 KB Output is correct
27 Correct 66 ms 40528 KB Output is correct
28 Correct 9 ms 33368 KB Output is correct
29 Correct 8 ms 33116 KB Output is correct
30 Correct 8 ms 33112 KB Output is correct
31 Correct 54 ms 40276 KB Output is correct
32 Correct 10 ms 31516 KB Output is correct
33 Correct 61 ms 50516 KB Output is correct
34 Correct 61 ms 41808 KB Output is correct
35 Correct 9 ms 33368 KB Output is correct
36 Correct 69 ms 42740 KB Output is correct
37 Correct 9 ms 31320 KB Output is correct
38 Correct 12 ms 33368 KB Output is correct
39 Correct 46 ms 42812 KB Output is correct
40 Correct 9 ms 31576 KB Output is correct
41 Correct 65 ms 41676 KB Output is correct
42 Correct 75 ms 44728 KB Output is correct
43 Correct 8 ms 33112 KB Output is correct
44 Correct 79 ms 50660 KB Output is correct
45 Correct 62 ms 46160 KB Output is correct
46 Correct 9 ms 31320 KB Output is correct
47 Correct 9 ms 31320 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 41416 KB Output is correct
2 Correct 55 ms 40904 KB Output is correct
3 Correct 12 ms 33368 KB Output is correct
4 Correct 10 ms 33368 KB Output is correct
5 Correct 9 ms 33112 KB Output is correct
6 Correct 9 ms 33112 KB Output is correct
7 Correct 9 ms 31320 KB Output is correct
8 Correct 76 ms 41508 KB Output is correct
9 Correct 9 ms 33368 KB Output is correct
10 Correct 57 ms 42068 KB Output is correct
11 Correct 10 ms 33112 KB Output is correct
12 Correct 55 ms 41808 KB Output is correct
13 Correct 67 ms 43088 KB Output is correct
14 Correct 65 ms 43088 KB Output is correct
15 Correct 45 ms 42564 KB Output is correct
16 Correct 10 ms 33364 KB Output is correct
17 Correct 9 ms 33328 KB Output is correct
18 Correct 52 ms 44368 KB Output is correct
19 Correct 80 ms 47940 KB Output is correct
20 Correct 11 ms 33360 KB Output is correct
21 Correct 9 ms 33112 KB Output is correct
22 Correct 57 ms 43976 KB Output is correct
23 Correct 10 ms 33368 KB Output is correct
24 Correct 65 ms 42224 KB Output is correct
25 Correct 70 ms 46144 KB Output is correct
26 Correct 9 ms 31320 KB Output is correct
27 Correct 10 ms 31580 KB Output is correct
28 Correct 10 ms 33368 KB Output is correct
29 Correct 9 ms 31324 KB Output is correct
30 Correct 12 ms 33368 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 33112 KB Output is correct
2 Correct 8 ms 33116 KB Output is correct
3 Correct 9 ms 33500 KB Output is correct
4 Correct 9 ms 33112 KB Output is correct
5 Correct 8 ms 31064 KB Output is correct
6 Correct 8 ms 31068 KB Output is correct
7 Correct 7 ms 29020 KB Output is correct
8 Correct 8 ms 31064 KB Output is correct
9 Correct 9 ms 33112 KB Output is correct
10 Correct 8 ms 33116 KB Output is correct
11 Correct 8 ms 33116 KB Output is correct
12 Correct 9 ms 33112 KB Output is correct
13 Correct 8 ms 33112 KB Output is correct
14 Correct 9 ms 33116 KB Output is correct
15 Correct 9 ms 33112 KB Output is correct
16 Correct 8 ms 31068 KB Output is correct
17 Correct 8 ms 33112 KB Output is correct
18 Correct 8 ms 31068 KB Output is correct
19 Correct 9 ms 31064 KB Output is correct
20 Correct 8 ms 31068 KB Output is correct
21 Correct 7 ms 31064 KB Output is correct
22 Correct 8 ms 31064 KB Output is correct
23 Correct 8 ms 31064 KB Output is correct
24 Correct 8 ms 33116 KB Output is correct
25 Correct 9 ms 33112 KB Output is correct
26 Correct 10 ms 33372 KB Output is correct
27 Correct 9 ms 33368 KB Output is correct
28 Correct 10 ms 33628 KB Output is correct
29 Correct 10 ms 33556 KB Output is correct
30 Correct 10 ms 33368 KB Output is correct
31 Correct 8 ms 33112 KB Output is correct
32 Correct 10 ms 33624 KB Output is correct
33 Correct 8 ms 33112 KB Output is correct
34 Correct 9 ms 31320 KB Output is correct
35 Correct 9 ms 31320 KB Output is correct
36 Correct 9 ms 33368 KB Output is correct
37 Correct 11 ms 33368 KB Output is correct
38 Correct 8 ms 33112 KB Output is correct
39 Correct 10 ms 33368 KB Output is correct
40 Correct 10 ms 31252 KB Output is correct
41 Correct 10 ms 33368 KB Output is correct
42 Correct 9 ms 33372 KB Output is correct
43 Correct 9 ms 31576 KB Output is correct
44 Correct 8 ms 33116 KB Output is correct
45 Correct 11 ms 33624 KB Output is correct
46 Correct 10 ms 33372 KB Output is correct
47 Correct 8 ms 33112 KB Output is correct
48 Correct 10 ms 33372 KB Output is correct
49 Correct 10 ms 31320 KB Output is correct
50 Correct 9 ms 31576 KB Output is correct
51 Correct 10 ms 33368 KB Output is correct
52 Correct 9 ms 31576 KB Output is correct
53 Correct 10 ms 33368 KB Output is correct
54 Correct 10 ms 31320 KB Output is correct
55 Correct 9 ms 33112 KB Output is correct
56 Correct 44 ms 41364 KB Output is correct
57 Correct 66 ms 40528 KB Output is correct
58 Correct 9 ms 33368 KB Output is correct
59 Correct 8 ms 33116 KB Output is correct
60 Correct 8 ms 33112 KB Output is correct
61 Correct 54 ms 40276 KB Output is correct
62 Correct 10 ms 31516 KB Output is correct
63 Correct 61 ms 50516 KB Output is correct
64 Correct 61 ms 41808 KB Output is correct
65 Correct 9 ms 33368 KB Output is correct
66 Correct 69 ms 42740 KB Output is correct
67 Correct 9 ms 31320 KB Output is correct
68 Correct 12 ms 33368 KB Output is correct
69 Correct 46 ms 42812 KB Output is correct
70 Correct 9 ms 31576 KB Output is correct
71 Correct 65 ms 41676 KB Output is correct
72 Correct 75 ms 44728 KB Output is correct
73 Correct 8 ms 33112 KB Output is correct
74 Correct 79 ms 50660 KB Output is correct
75 Correct 62 ms 46160 KB Output is correct
76 Correct 9 ms 31320 KB Output is correct
77 Correct 9 ms 31320 KB Output is correct
78 Correct 42 ms 41416 KB Output is correct
79 Correct 55 ms 40904 KB Output is correct
80 Correct 12 ms 33368 KB Output is correct
81 Correct 10 ms 33368 KB Output is correct
82 Correct 9 ms 33112 KB Output is correct
83 Correct 9 ms 33112 KB Output is correct
84 Correct 9 ms 31320 KB Output is correct
85 Correct 76 ms 41508 KB Output is correct
86 Correct 9 ms 33368 KB Output is correct
87 Correct 57 ms 42068 KB Output is correct
88 Correct 10 ms 33112 KB Output is correct
89 Correct 55 ms 41808 KB Output is correct
90 Correct 67 ms 43088 KB Output is correct
91 Correct 65 ms 43088 KB Output is correct
92 Correct 45 ms 42564 KB Output is correct
93 Correct 10 ms 33364 KB Output is correct
94 Correct 9 ms 33328 KB Output is correct
95 Correct 52 ms 44368 KB Output is correct
96 Correct 80 ms 47940 KB Output is correct
97 Correct 11 ms 33360 KB Output is correct
98 Correct 9 ms 33112 KB Output is correct
99 Correct 57 ms 43976 KB Output is correct
100 Correct 10 ms 33368 KB Output is correct
101 Correct 65 ms 42224 KB Output is correct
102 Correct 70 ms 46144 KB Output is correct
103 Correct 9 ms 31320 KB Output is correct
104 Correct 10 ms 31580 KB Output is correct
105 Correct 10 ms 33368 KB Output is correct
106 Correct 9 ms 31324 KB Output is correct
107 Correct 12 ms 33368 KB Output is correct
108 Correct 446 ms 82804 KB Output is correct
109 Correct 765 ms 91068 KB Output is correct
110 Correct 742 ms 104380 KB Output is correct
111 Correct 884 ms 113228 KB Output is correct
112 Correct 748 ms 101120 KB Output is correct
113 Correct 421 ms 85724 KB Output is correct
114 Correct 552 ms 69480 KB Output is correct
115 Correct 607 ms 69188 KB Output is correct
116 Correct 625 ms 74172 KB Output is correct
117 Correct 535 ms 85160 KB Output is correct
118 Correct 595 ms 70656 KB Output is correct
119 Correct 644 ms 85072 KB Output is correct
120 Correct 728 ms 101968 KB Output is correct
121 Correct 630 ms 85072 KB Output is correct
122 Correct 703 ms 78928 KB Output is correct
123 Correct 418 ms 85548 KB Output is correct
124 Correct 754 ms 84304 KB Output is correct