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Submission #799782

# Submission time Handle Problem Language Result Execution time Memory
799782 2023-08-01T02:21:43 Z Alish Mergers (JOI19_mergers) C++14
100 / 100
 911 ms 136088 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long int	ll;
typedef long double	ld;
typedef pair<int, int>	pii;
typedef pair<ll, ll>	pll;


#define F		        first
#define S		        second
#define pb		        push_back
#define endl            '\n'
#define Mp		        make_pair
#define all(x)          x.begin(), x.end()
#define debug(x)        cerr << #x << " = " << x << endl
#define set_dec(x)	    cout << fixed << setprecision(x);
#define fast_io         ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define file_io         freopen("in.txt" , "r+" , stdin) ; freopen("out.txt" , "w+" , stdout);


ll mod = 998244353;

ll power(ll a, ll b)
{
    return (!b ? 1 : (b & 1 ? a * power(a * a % mod, b / 2) % mod : power(a * a % mod, b / 2) % mod));
}

const int N = 5e5+23, L =23 ;

vector<int>g[N], buc[N];
int st[N], h[N], par[N][L], sz[N], sum[N], is[N];
int ans;
int n , k ;
int a[N];

int tim;
void dfs(int v, int p=0){
    sz[v]=1;
    st[v]=++tim;
    for (int u: g[v]) {
        if(u==p)continue;
        h[u]=h[v]+1;
        par[u][0]=v;
        dfs(u,v);
        sz[v]+=sz[u];
    }
}

void DFS(int v, int p=0){

    int temp=0;
    for (int u: g[v]){
        if(u==p) continue;
        DFS(u,v);
        is[v]+=is[u];
        sum[v]+=sum[u];
    }

    if(sum[v]==sz[v]){
        if(is[v]==0 && v!=1)ans++;
        if(is[v]==1 && v==1) ans++;
        is[v]=1;
    }
}

int LCA(int v, int u){

    if(h[v]>h[u])swap(u,v);

    int d =h[u]-h[v];
    for (int i=L-1; i>=0; i--) {
        if(d>>i&1) u=par[u][i];
    }

    if(u==v) return v;

    for (int i=L-1; i>=0; i--){
        if(par[u][i]!=par[v][i]){
            v=par[v][i];
            u=par[u][i];
        }
    }

    return par[v][0];

}

int main()
{
    fast_io
    cin>>n>>k;
    for (int i=0; i<n-1; i++){
        int u , v; cin>>v>>u;
        g[v].pb(u);
        g[u].pb(v);
    }
    for (int i=1; i<=n; i++){
        cin>>a[i];
        buc[a[i]].pb(i);
    }

    dfs(1);

    for (int j=1; j<L; j++){
        for (int i=1; i<=n; i++){
            par[i][j]=par[par[i][j-1]][j-1];
        }
    }

    for (int w=1; w<=k; w++){
        vector<pii> vec;
        for (int i: buc[w]) vec.pb({st[i], i});
        sort(all(vec));
        int lca=LCA(vec[0].S, vec.back().S);
        sum[lca]+=buc[w].size();
    }

    DFS(1);

    //cout<<ans<<" ";
    cout<<(ans+1)/2<<endl;

}

Compilation message

mergers.cpp: In function 'void DFS(int, int)':
mergers.cpp:53:9: warning: unused variable 'temp' [-Wunused-variable]
   53 |     int temp=0;
      |         ^~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23804 KB Output is correct
2 Correct 12 ms 23764 KB Output is correct
3 Correct 12 ms 23820 KB Output is correct
4 Correct 11 ms 23740 KB Output is correct
5 Correct 12 ms 23816 KB Output is correct
6 Correct 13 ms 23760 KB Output is correct
7 Correct 11 ms 23812 KB Output is correct
8 Correct 12 ms 23820 KB Output is correct
9 Correct 11 ms 23804 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 11 ms 23876 KB Output is correct
13 Correct 11 ms 23816 KB Output is correct
14 Correct 11 ms 23792 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 12 ms 23740 KB Output is correct
17 Correct 12 ms 23836 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 12 ms 23764 KB Output is correct
20 Correct 12 ms 23816 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 14 ms 23892 KB Output is correct
23 Correct 13 ms 23844 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23804 KB Output is correct
2 Correct 12 ms 23764 KB Output is correct
3 Correct 12 ms 23820 KB Output is correct
4 Correct 11 ms 23740 KB Output is correct
5 Correct 12 ms 23816 KB Output is correct
6 Correct 13 ms 23760 KB Output is correct
7 Correct 11 ms 23812 KB Output is correct
8 Correct 12 ms 23820 KB Output is correct
9 Correct 11 ms 23804 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 11 ms 23876 KB Output is correct
13 Correct 11 ms 23816 KB Output is correct
14 Correct 11 ms 23792 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 12 ms 23740 KB Output is correct
17 Correct 12 ms 23836 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 12 ms 23764 KB Output is correct
20 Correct 12 ms 23816 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 14 ms 23892 KB Output is correct
23 Correct 13 ms 23844 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct
25 Correct 10 ms 23764 KB Output is correct
26 Correct 13 ms 24300 KB Output is correct
27 Correct 12 ms 24276 KB Output is correct
28 Correct 13 ms 24468 KB Output is correct
29 Correct 13 ms 24532 KB Output is correct
30 Correct 13 ms 24276 KB Output is correct
31 Correct 13 ms 23764 KB Output is correct
32 Correct 13 ms 24600 KB Output is correct
33 Correct 12 ms 23776 KB Output is correct
34 Correct 12 ms 24276 KB Output is correct
35 Correct 13 ms 24404 KB Output is correct
36 Correct 12 ms 24276 KB Output is correct
37 Correct 13 ms 24276 KB Output is correct
38 Correct 11 ms 23764 KB Output is correct
39 Correct 13 ms 24372 KB Output is correct
40 Correct 12 ms 24404 KB Output is correct
41 Correct 13 ms 24276 KB Output is correct
42 Correct 13 ms 24372 KB Output is correct
43 Correct 14 ms 24532 KB Output is correct
44 Correct 12 ms 23812 KB Output is correct
45 Correct 13 ms 24404 KB Output is correct
46 Correct 14 ms 24276 KB Output is correct
47 Correct 11 ms 23764 KB Output is correct
48 Correct 13 ms 24340 KB Output is correct
49 Correct 13 ms 24404 KB Output is correct
50 Correct 13 ms 24472 KB Output is correct
51 Correct 14 ms 24296 KB Output is correct
52 Correct 12 ms 24276 KB Output is correct
53 Correct 13 ms 24304 KB Output is correct
54 Correct 12 ms 24276 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23804 KB Output is correct
2 Correct 12 ms 23764 KB Output is correct
3 Correct 12 ms 23820 KB Output is correct
4 Correct 11 ms 23740 KB Output is correct
5 Correct 12 ms 23816 KB Output is correct
6 Correct 13 ms 23760 KB Output is correct
7 Correct 11 ms 23812 KB Output is correct
8 Correct 12 ms 23820 KB Output is correct
9 Correct 11 ms 23804 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 11 ms 23876 KB Output is correct
13 Correct 11 ms 23816 KB Output is correct
14 Correct 11 ms 23792 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 12 ms 23740 KB Output is correct
17 Correct 12 ms 23836 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 12 ms 23764 KB Output is correct
20 Correct 12 ms 23816 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 14 ms 23892 KB Output is correct
23 Correct 13 ms 23844 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct
25 Correct 10 ms 23764 KB Output is correct
26 Correct 55 ms 39236 KB Output is correct
27 Correct 66 ms 39740 KB Output is correct
28 Correct 14 ms 24276 KB Output is correct
29 Correct 13 ms 23812 KB Output is correct
30 Correct 14 ms 23816 KB Output is correct
31 Correct 71 ms 39708 KB Output is correct
32 Correct 15 ms 24332 KB Output is correct
33 Correct 103 ms 46880 KB Output is correct
34 Correct 66 ms 39928 KB Output is correct
35 Correct 13 ms 24292 KB Output is correct
36 Correct 76 ms 40408 KB Output is correct
37 Correct 14 ms 24304 KB Output is correct
38 Correct 14 ms 24352 KB Output is correct
39 Correct 66 ms 39240 KB Output is correct
40 Correct 16 ms 24588 KB Output is correct
41 Correct 71 ms 39940 KB Output is correct
42 Correct 83 ms 42072 KB Output is correct
43 Correct 12 ms 23832 KB Output is correct
44 Correct 84 ms 47392 KB Output is correct
45 Correct 80 ms 43432 KB Output is correct
46 Correct 13 ms 24276 KB Output is correct
47 Correct 13 ms 24356 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 38560 KB Output is correct
2 Correct 90 ms 41988 KB Output is correct
3 Correct 14 ms 24276 KB Output is correct
4 Correct 14 ms 24276 KB Output is correct
5 Correct 12 ms 23796 KB Output is correct
6 Correct 11 ms 23860 KB Output is correct
7 Correct 13 ms 24276 KB Output is correct
8 Correct 77 ms 40764 KB Output is correct
9 Correct 12 ms 24316 KB Output is correct
10 Correct 64 ms 39796 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 71 ms 39708 KB Output is correct
13 Correct 82 ms 40700 KB Output is correct
14 Correct 82 ms 42252 KB Output is correct
15 Correct 70 ms 39276 KB Output is correct
16 Correct 13 ms 24340 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 72 ms 42296 KB Output is correct
19 Correct 93 ms 46372 KB Output is correct
20 Correct 14 ms 24288 KB Output is correct
21 Correct 24 ms 23828 KB Output is correct
22 Correct 82 ms 41060 KB Output is correct
23 Correct 14 ms 24360 KB Output is correct
24 Correct 77 ms 40016 KB Output is correct
25 Correct 84 ms 44868 KB Output is correct
26 Correct 13 ms 24404 KB Output is correct
27 Correct 12 ms 24404 KB Output is correct
28 Correct 13 ms 24336 KB Output is correct
29 Correct 13 ms 24340 KB Output is correct
30 Correct 13 ms 24336 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23804 KB Output is correct
2 Correct 12 ms 23764 KB Output is correct
3 Correct 12 ms 23820 KB Output is correct
4 Correct 11 ms 23740 KB Output is correct
5 Correct 12 ms 23816 KB Output is correct
6 Correct 13 ms 23760 KB Output is correct
7 Correct 11 ms 23812 KB Output is correct
8 Correct 12 ms 23820 KB Output is correct
9 Correct 11 ms 23804 KB Output is correct
10 Correct 12 ms 23764 KB Output is correct
11 Correct 12 ms 23764 KB Output is correct
12 Correct 11 ms 23876 KB Output is correct
13 Correct 11 ms 23816 KB Output is correct
14 Correct 11 ms 23792 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 12 ms 23740 KB Output is correct
17 Correct 12 ms 23836 KB Output is correct
18 Correct 12 ms 23764 KB Output is correct
19 Correct 12 ms 23764 KB Output is correct
20 Correct 12 ms 23816 KB Output is correct
21 Correct 12 ms 23764 KB Output is correct
22 Correct 14 ms 23892 KB Output is correct
23 Correct 13 ms 23844 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct
25 Correct 10 ms 23764 KB Output is correct
26 Correct 13 ms 24300 KB Output is correct
27 Correct 12 ms 24276 KB Output is correct
28 Correct 13 ms 24468 KB Output is correct
29 Correct 13 ms 24532 KB Output is correct
30 Correct 13 ms 24276 KB Output is correct
31 Correct 13 ms 23764 KB Output is correct
32 Correct 13 ms 24600 KB Output is correct
33 Correct 12 ms 23776 KB Output is correct
34 Correct 12 ms 24276 KB Output is correct
35 Correct 13 ms 24404 KB Output is correct
36 Correct 12 ms 24276 KB Output is correct
37 Correct 13 ms 24276 KB Output is correct
38 Correct 11 ms 23764 KB Output is correct
39 Correct 13 ms 24372 KB Output is correct
40 Correct 12 ms 24404 KB Output is correct
41 Correct 13 ms 24276 KB Output is correct
42 Correct 13 ms 24372 KB Output is correct
43 Correct 14 ms 24532 KB Output is correct
44 Correct 12 ms 23812 KB Output is correct
45 Correct 13 ms 24404 KB Output is correct
46 Correct 14 ms 24276 KB Output is correct
47 Correct 11 ms 23764 KB Output is correct
48 Correct 13 ms 24340 KB Output is correct
49 Correct 13 ms 24404 KB Output is correct
50 Correct 13 ms 24472 KB Output is correct
51 Correct 14 ms 24296 KB Output is correct
52 Correct 12 ms 24276 KB Output is correct
53 Correct 13 ms 24304 KB Output is correct
54 Correct 12 ms 24276 KB Output is correct
55 Correct 10 ms 23764 KB Output is correct
56 Correct 55 ms 39236 KB Output is correct
57 Correct 66 ms 39740 KB Output is correct
58 Correct 14 ms 24276 KB Output is correct
59 Correct 13 ms 23812 KB Output is correct
60 Correct 14 ms 23816 KB Output is correct
61 Correct 71 ms 39708 KB Output is correct
62 Correct 15 ms 24332 KB Output is correct
63 Correct 103 ms 46880 KB Output is correct
64 Correct 66 ms 39928 KB Output is correct
65 Correct 13 ms 24292 KB Output is correct
66 Correct 76 ms 40408 KB Output is correct
67 Correct 14 ms 24304 KB Output is correct
68 Correct 14 ms 24352 KB Output is correct
69 Correct 66 ms 39240 KB Output is correct
70 Correct 16 ms 24588 KB Output is correct
71 Correct 71 ms 39940 KB Output is correct
72 Correct 83 ms 42072 KB Output is correct
73 Correct 12 ms 23832 KB Output is correct
74 Correct 84 ms 47392 KB Output is correct
75 Correct 80 ms 43432 KB Output is correct
76 Correct 13 ms 24276 KB Output is correct
77 Correct 13 ms 24356 KB Output is correct
78 Correct 53 ms 38560 KB Output is correct
79 Correct 90 ms 41988 KB Output is correct
80 Correct 14 ms 24276 KB Output is correct
81 Correct 14 ms 24276 KB Output is correct
82 Correct 12 ms 23796 KB Output is correct
83 Correct 11 ms 23860 KB Output is correct
84 Correct 13 ms 24276 KB Output is correct
85 Correct 77 ms 40764 KB Output is correct
86 Correct 12 ms 24316 KB Output is correct
87 Correct 64 ms 39796 KB Output is correct
88 Correct 12 ms 23764 KB Output is correct
89 Correct 71 ms 39708 KB Output is correct
90 Correct 82 ms 40700 KB Output is correct
91 Correct 82 ms 42252 KB Output is correct
92 Correct 70 ms 39276 KB Output is correct
93 Correct 13 ms 24340 KB Output is correct
94 Correct 12 ms 23764 KB Output is correct
95 Correct 72 ms 42296 KB Output is correct
96 Correct 93 ms 46372 KB Output is correct
97 Correct 14 ms 24288 KB Output is correct
98 Correct 24 ms 23828 KB Output is correct
99 Correct 82 ms 41060 KB Output is correct
100 Correct 14 ms 24360 KB Output is correct
101 Correct 77 ms 40016 KB Output is correct
102 Correct 84 ms 44868 KB Output is correct
103 Correct 13 ms 24404 KB Output is correct
104 Correct 12 ms 24404 KB Output is correct
105 Correct 13 ms 24336 KB Output is correct
106 Correct 13 ms 24340 KB Output is correct
107 Correct 13 ms 24336 KB Output is correct
108 Correct 464 ms 105292 KB Output is correct
109 Correct 724 ms 117608 KB Output is correct
110 Correct 719 ms 128972 KB Output is correct
111 Correct 911 ms 136088 KB Output is correct
112 Correct 759 ms 126432 KB Output is correct
113 Correct 515 ms 112956 KB Output is correct
114 Correct 533 ms 99584 KB Output is correct
115 Correct 518 ms 99772 KB Output is correct
116 Correct 606 ms 102408 KB Output is correct
117 Correct 633 ms 112968 KB Output is correct
118 Correct 521 ms 99140 KB Output is correct
119 Correct 661 ms 113024 KB Output is correct
120 Correct 782 ms 126832 KB Output is correct
121 Correct 672 ms 112956 KB Output is correct
122 Correct 709 ms 106700 KB Output is correct
123 Correct 457 ms 114144 KB Output is correct
124 Correct 767 ms 110920 KB Output is correct