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Submission #399801

# Submission time Handle Problem Language Result Execution time Memory
399801 2021-05-06T16:22:42 Z azberjibiou Mergers (JOI19_mergers) C++17
100 / 100
 1008 ms 141484 KB 
#include <bits/stdc++.h>
#define gibon ios::sync_with_stdio(false); cin.tie(0);
#define bp __builtin_popcount
#define fir first
#define sec second
#define pii pair<int, int>
#define pll pair<ll, ll>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
typedef long long ll;
using namespace std;
int dx[4]={0, 1, 0, -1}, dy[4]={1, 0, -1 , 0};
const int mxN=502000;
const int mxM=104;
const int mxK=1000000;
const ll MOD=1000000007;
const ll INF=100000000000001;
int N, K;
vector <int> v[mxN];
vector <pii> E;
vector <int> grp[mxN];
int par[mxN][20], dep[mxN];
int S[mxN];
int root[mxN];  ///lca of all node
int uf[mxN];
int deg[mxN];
int ans;
void dfs(int now, int pre)
{
    for(int nxt : v[now])
    {
        if(nxt==pre)    continue;
        par[nxt][0]=now;
        dep[nxt]=dep[now]+1;
        dfs(nxt, now);
    }
}
int findpar(int a)
{
    if(uf[a]==a)    return a;
    return uf[a]=findpar(uf[a]);
}
int lca(int a, int b)
{
    if(dep[a]<dep[b])   return lca(b, a);
    for(int i=19;i>=0;i--)
    {
        if(dep[a]>=dep[b]+(1<<i))
        {
            a=par[a][i];
        }
    }
    if(a==b)    return a;
    for(int i=19;i>=0;i--)
    {
        if(par[a][i]!=par[b][i])    a=par[a][i], b=par[b][i];
    }
    return par[a][0];
}
int main()
{
    gibon
    cin >> N >> K;
    for(int i=1;i<=N;i++)   uf[i]=i;
    for(int i=1;i<N;i++)
    {
        int a, b;   cin >> a >> b;
        v[a].push_back(b);  v[b].push_back(a);
        E.push_back({a, b});
    }
    dfs(1, -1);
    for(int i=1;i<=19;i++)  for(int j=1;j<=N;j++)   par[j][i]=par[par[j][i-1]][i-1];
    for(int i=1;i<=N;i++)   cin >> S[i];
    for(int i=1;i<=N;i++)   grp[S[i]].push_back(i);
    for(int i=1;i<=K;i++)
    {
        for(int ele : grp[i])
        {
            if(!root[i])
            {
                root[i]=ele;    continue;
            }
            root[i]=lca(root[i], ele);
        }
    }
    for(int i=1;i<=K;i++)
    {
        for(int ele : grp[i])
        {
            int now=ele;
            while(findpar(now)!=findpar(root[i]))
            {
                now=findpar(now);
                uf[now]=par[now][0];
                now=par[now][0];
            }
        }
    }
    for(pii ele : E)
    {
        int a=findpar(ele.fir), b=findpar(ele.sec);
        if(a==b)  continue;
        deg[a]++;   deg[b]++;
    }
    for(int i=1;i<=N;i++)
    {
        if(deg[i]==1)   ans++;
    }
    cout << (ans+1)/2;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23896 KB Output is correct
2 Correct 13 ms 23880 KB Output is correct
3 Correct 14 ms 23884 KB Output is correct
4 Correct 13 ms 23848 KB Output is correct
5 Correct 13 ms 23900 KB Output is correct
6 Correct 13 ms 23956 KB Output is correct
7 Correct 13 ms 23920 KB Output is correct
8 Correct 13 ms 23884 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 13 ms 23904 KB Output is correct
11 Correct 13 ms 23904 KB Output is correct
12 Correct 14 ms 23884 KB Output is correct
13 Correct 14 ms 23884 KB Output is correct
14 Correct 15 ms 23848 KB Output is correct
15 Correct 13 ms 23928 KB Output is correct
16 Correct 13 ms 23884 KB Output is correct
17 Correct 14 ms 23900 KB Output is correct
18 Correct 13 ms 23932 KB Output is correct
19 Correct 14 ms 23852 KB Output is correct
20 Correct 13 ms 23904 KB Output is correct
21 Correct 13 ms 23900 KB Output is correct
22 Correct 14 ms 23884 KB Output is correct
23 Correct 13 ms 23908 KB Output is correct
24 Correct 13 ms 23840 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23896 KB Output is correct
2 Correct 13 ms 23880 KB Output is correct
3 Correct 14 ms 23884 KB Output is correct
4 Correct 13 ms 23848 KB Output is correct
5 Correct 13 ms 23900 KB Output is correct
6 Correct 13 ms 23956 KB Output is correct
7 Correct 13 ms 23920 KB Output is correct
8 Correct 13 ms 23884 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 13 ms 23904 KB Output is correct
11 Correct 13 ms 23904 KB Output is correct
12 Correct 14 ms 23884 KB Output is correct
13 Correct 14 ms 23884 KB Output is correct
14 Correct 15 ms 23848 KB Output is correct
15 Correct 13 ms 23928 KB Output is correct
16 Correct 13 ms 23884 KB Output is correct
17 Correct 14 ms 23900 KB Output is correct
18 Correct 13 ms 23932 KB Output is correct
19 Correct 14 ms 23852 KB Output is correct
20 Correct 13 ms 23904 KB Output is correct
21 Correct 13 ms 23900 KB Output is correct
22 Correct 14 ms 23884 KB Output is correct
23 Correct 13 ms 23908 KB Output is correct
24 Correct 13 ms 23840 KB Output is correct
25 Correct 13 ms 23884 KB Output is correct
26 Correct 15 ms 24372 KB Output is correct
27 Correct 15 ms 24364 KB Output is correct
28 Correct 16 ms 24560 KB Output is correct
29 Correct 16 ms 24416 KB Output is correct
30 Correct 17 ms 24296 KB Output is correct
31 Correct 14 ms 23876 KB Output is correct
32 Correct 15 ms 24576 KB Output is correct
33 Correct 14 ms 23904 KB Output is correct
34 Correct 15 ms 24300 KB Output is correct
35 Correct 15 ms 24408 KB Output is correct
36 Correct 15 ms 24396 KB Output is correct
37 Correct 16 ms 24396 KB Output is correct
38 Correct 14 ms 23884 KB Output is correct
39 Correct 15 ms 24428 KB Output is correct
40 Correct 15 ms 24396 KB Output is correct
41 Correct 15 ms 24408 KB Output is correct
42 Correct 17 ms 24388 KB Output is correct
43 Correct 15 ms 24524 KB Output is correct
44 Correct 15 ms 23896 KB Output is correct
45 Correct 15 ms 24432 KB Output is correct
46 Correct 16 ms 24372 KB Output is correct
47 Correct 14 ms 23884 KB Output is correct
48 Correct 16 ms 24396 KB Output is correct
49 Correct 16 ms 24388 KB Output is correct
50 Correct 16 ms 24448 KB Output is correct
51 Correct 15 ms 24396 KB Output is correct
52 Correct 15 ms 24384 KB Output is correct
53 Correct 16 ms 24436 KB Output is correct
54 Correct 16 ms 24408 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23896 KB Output is correct
2 Correct 13 ms 23880 KB Output is correct
3 Correct 14 ms 23884 KB Output is correct
4 Correct 13 ms 23848 KB Output is correct
5 Correct 13 ms 23900 KB Output is correct
6 Correct 13 ms 23956 KB Output is correct
7 Correct 13 ms 23920 KB Output is correct
8 Correct 13 ms 23884 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 13 ms 23904 KB Output is correct
11 Correct 13 ms 23904 KB Output is correct
12 Correct 14 ms 23884 KB Output is correct
13 Correct 14 ms 23884 KB Output is correct
14 Correct 15 ms 23848 KB Output is correct
15 Correct 13 ms 23928 KB Output is correct
16 Correct 13 ms 23884 KB Output is correct
17 Correct 14 ms 23900 KB Output is correct
18 Correct 13 ms 23932 KB Output is correct
19 Correct 14 ms 23852 KB Output is correct
20 Correct 13 ms 23904 KB Output is correct
21 Correct 13 ms 23900 KB Output is correct
22 Correct 14 ms 23884 KB Output is correct
23 Correct 13 ms 23908 KB Output is correct
24 Correct 13 ms 23840 KB Output is correct
25 Correct 13 ms 23884 KB Output is correct
26 Correct 85 ms 39164 KB Output is correct
27 Correct 103 ms 38832 KB Output is correct
28 Correct 17 ms 24396 KB Output is correct
29 Correct 13 ms 23956 KB Output is correct
30 Correct 14 ms 23884 KB Output is correct
31 Correct 102 ms 38964 KB Output is correct
32 Correct 16 ms 24396 KB Output is correct
33 Correct 132 ms 46012 KB Output is correct
34 Correct 103 ms 38876 KB Output is correct
35 Correct 16 ms 24416 KB Output is correct
36 Correct 113 ms 39736 KB Output is correct
37 Correct 16 ms 24308 KB Output is correct
38 Correct 15 ms 24436 KB Output is correct
39 Correct 95 ms 39188 KB Output is correct
40 Correct 15 ms 24524 KB Output is correct
41 Correct 91 ms 39096 KB Output is correct
42 Correct 132 ms 41216 KB Output is correct
43 Correct 14 ms 23884 KB Output is correct
44 Correct 125 ms 46644 KB Output is correct
45 Correct 127 ms 42604 KB Output is correct
46 Correct 15 ms 24396 KB Output is correct
47 Correct 16 ms 24304 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 39184 KB Output is correct
2 Correct 83 ms 42800 KB Output is correct
3 Correct 15 ms 24396 KB Output is correct
4 Correct 17 ms 24396 KB Output is correct
5 Correct 14 ms 23904 KB Output is correct
6 Correct 13 ms 23944 KB Output is correct
7 Correct 16 ms 24396 KB Output is correct
8 Correct 126 ms 40916 KB Output is correct
9 Correct 15 ms 24396 KB Output is correct
10 Correct 102 ms 39420 KB Output is correct
11 Correct 14 ms 23884 KB Output is correct
12 Correct 115 ms 39352 KB Output is correct
13 Correct 113 ms 40700 KB Output is correct
14 Correct 98 ms 42556 KB Output is correct
15 Correct 86 ms 39080 KB Output is correct
16 Correct 15 ms 24396 KB Output is correct
17 Correct 14 ms 23952 KB Output is correct
18 Correct 96 ms 42664 KB Output is correct
19 Correct 112 ms 46520 KB Output is correct
20 Correct 15 ms 24356 KB Output is correct
21 Correct 14 ms 23920 KB Output is correct
22 Correct 93 ms 41032 KB Output is correct
23 Correct 16 ms 24384 KB Output is correct
24 Correct 111 ms 39840 KB Output is correct
25 Correct 109 ms 45236 KB Output is correct
26 Correct 15 ms 24432 KB Output is correct
27 Correct 16 ms 24556 KB Output is correct
28 Correct 16 ms 24348 KB Output is correct
29 Correct 16 ms 24396 KB Output is correct
30 Correct 16 ms 24416 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23896 KB Output is correct
2 Correct 13 ms 23880 KB Output is correct
3 Correct 14 ms 23884 KB Output is correct
4 Correct 13 ms 23848 KB Output is correct
5 Correct 13 ms 23900 KB Output is correct
6 Correct 13 ms 23956 KB Output is correct
7 Correct 13 ms 23920 KB Output is correct
8 Correct 13 ms 23884 KB Output is correct
9 Correct 14 ms 23884 KB Output is correct
10 Correct 13 ms 23904 KB Output is correct
11 Correct 13 ms 23904 KB Output is correct
12 Correct 14 ms 23884 KB Output is correct
13 Correct 14 ms 23884 KB Output is correct
14 Correct 15 ms 23848 KB Output is correct
15 Correct 13 ms 23928 KB Output is correct
16 Correct 13 ms 23884 KB Output is correct
17 Correct 14 ms 23900 KB Output is correct
18 Correct 13 ms 23932 KB Output is correct
19 Correct 14 ms 23852 KB Output is correct
20 Correct 13 ms 23904 KB Output is correct
21 Correct 13 ms 23900 KB Output is correct
22 Correct 14 ms 23884 KB Output is correct
23 Correct 13 ms 23908 KB Output is correct
24 Correct 13 ms 23840 KB Output is correct
25 Correct 13 ms 23884 KB Output is correct
26 Correct 15 ms 24372 KB Output is correct
27 Correct 15 ms 24364 KB Output is correct
28 Correct 16 ms 24560 KB Output is correct
29 Correct 16 ms 24416 KB Output is correct
30 Correct 17 ms 24296 KB Output is correct
31 Correct 14 ms 23876 KB Output is correct
32 Correct 15 ms 24576 KB Output is correct
33 Correct 14 ms 23904 KB Output is correct
34 Correct 15 ms 24300 KB Output is correct
35 Correct 15 ms 24408 KB Output is correct
36 Correct 15 ms 24396 KB Output is correct
37 Correct 16 ms 24396 KB Output is correct
38 Correct 14 ms 23884 KB Output is correct
39 Correct 15 ms 24428 KB Output is correct
40 Correct 15 ms 24396 KB Output is correct
41 Correct 15 ms 24408 KB Output is correct
42 Correct 17 ms 24388 KB Output is correct
43 Correct 15 ms 24524 KB Output is correct
44 Correct 15 ms 23896 KB Output is correct
45 Correct 15 ms 24432 KB Output is correct
46 Correct 16 ms 24372 KB Output is correct
47 Correct 14 ms 23884 KB Output is correct
48 Correct 16 ms 24396 KB Output is correct
49 Correct 16 ms 24388 KB Output is correct
50 Correct 16 ms 24448 KB Output is correct
51 Correct 15 ms 24396 KB Output is correct
52 Correct 15 ms 24384 KB Output is correct
53 Correct 16 ms 24436 KB Output is correct
54 Correct 16 ms 24408 KB Output is correct
55 Correct 13 ms 23884 KB Output is correct
56 Correct 85 ms 39164 KB Output is correct
57 Correct 103 ms 38832 KB Output is correct
58 Correct 17 ms 24396 KB Output is correct
59 Correct 13 ms 23956 KB Output is correct
60 Correct 14 ms 23884 KB Output is correct
61 Correct 102 ms 38964 KB Output is correct
62 Correct 16 ms 24396 KB Output is correct
63 Correct 132 ms 46012 KB Output is correct
64 Correct 103 ms 38876 KB Output is correct
65 Correct 16 ms 24416 KB Output is correct
66 Correct 113 ms 39736 KB Output is correct
67 Correct 16 ms 24308 KB Output is correct
68 Correct 15 ms 24436 KB Output is correct
69 Correct 95 ms 39188 KB Output is correct
70 Correct 15 ms 24524 KB Output is correct
71 Correct 91 ms 39096 KB Output is correct
72 Correct 132 ms 41216 KB Output is correct
73 Correct 14 ms 23884 KB Output is correct
74 Correct 125 ms 46644 KB Output is correct
75 Correct 127 ms 42604 KB Output is correct
76 Correct 15 ms 24396 KB Output is correct
77 Correct 16 ms 24304 KB Output is correct
78 Correct 83 ms 39184 KB Output is correct
79 Correct 83 ms 42800 KB Output is correct
80 Correct 15 ms 24396 KB Output is correct
81 Correct 17 ms 24396 KB Output is correct
82 Correct 14 ms 23904 KB Output is correct
83 Correct 13 ms 23944 KB Output is correct
84 Correct 16 ms 24396 KB Output is correct
85 Correct 126 ms 40916 KB Output is correct
86 Correct 15 ms 24396 KB Output is correct
87 Correct 102 ms 39420 KB Output is correct
88 Correct 14 ms 23884 KB Output is correct
89 Correct 115 ms 39352 KB Output is correct
90 Correct 113 ms 40700 KB Output is correct
91 Correct 98 ms 42556 KB Output is correct
92 Correct 86 ms 39080 KB Output is correct
93 Correct 15 ms 24396 KB Output is correct
94 Correct 14 ms 23952 KB Output is correct
95 Correct 96 ms 42664 KB Output is correct
96 Correct 112 ms 46520 KB Output is correct
97 Correct 15 ms 24356 KB Output is correct
98 Correct 14 ms 23920 KB Output is correct
99 Correct 93 ms 41032 KB Output is correct
100 Correct 16 ms 24384 KB Output is correct
101 Correct 111 ms 39840 KB Output is correct
102 Correct 109 ms 45236 KB Output is correct
103 Correct 15 ms 24432 KB Output is correct
104 Correct 16 ms 24556 KB Output is correct
105 Correct 16 ms 24348 KB Output is correct
106 Correct 16 ms 24396 KB Output is correct
107 Correct 16 ms 24416 KB Output is correct
108 Correct 664 ms 109536 KB Output is correct
109 Correct 981 ms 118312 KB Output is correct
110 Correct 1008 ms 130088 KB Output is correct
111 Correct 895 ms 141484 KB Output is correct
112 Correct 897 ms 132020 KB Output is correct
113 Correct 684 ms 118308 KB Output is correct
114 Correct 672 ms 99960 KB Output is correct
115 Correct 656 ms 100824 KB Output is correct
116 Correct 874 ms 105460 KB Output is correct
117 Correct 742 ms 118568 KB Output is correct
118 Correct 747 ms 100684 KB Output is correct
119 Correct 740 ms 118508 KB Output is correct
120 Correct 850 ms 132520 KB Output is correct
121 Correct 772 ms 118580 KB Output is correct
122 Correct 909 ms 111444 KB Output is correct
123 Correct 569 ms 120048 KB Output is correct
124 Correct 856 ms 116596 KB Output is correct