oj.uz

Submission #949249

# Submission time Handle Problem Language Result Execution time Memory
949249 2024-03-19T04:09:43 Z Tuanlinh123 Mergers (JOI19_mergers) C++17
70 / 100
 206 ms 262144 KB 
#include<bits/stdc++.h>
#define ll long long
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
#define sz(a) ((ll)(a).size())
using namespace std;
 
const ll maxn=500005;
pll sp[20][maxn*2];
vector <pll> euler;
vector <ll> leaf, A[maxn];
ll P[maxn], col[maxn], lca[maxn], pa[maxn], dsu[maxn];
 
void dfs(ll u)
{
    lca[u]=sz(euler)+1, euler.pb({lca[u], u});
    for (ll v:A[u])
        if (v!=pa[u])
            pa[v]=u, dfs(v), euler.pb({lca[u], u});
    if (sz(A[u])==1) leaf.pb(u);
}
 
void initlca()
{
    ll n=sz(euler);
    for (ll i=0; i<n; i++)
        sp[0][i+1]=euler[i];
    for (ll i=1; i<20; i++)
        for (ll j=1; j+(1<<i)<=n+1; j++)
            sp[i][j]=min(sp[i-1][j], sp[i-1][j+(1<<i-1)]);
}
 
ll LCA(ll u, ll v)
{
    if (!u || !v) return u+v;
    ll l=lca[u], r=lca[v];
    if (l>r) swap(l, r);
    ll j=__lg(r-l+1);
    return min(sp[j][l], sp[j][r-(1<<j)+1]).se;
}
 
ll Find(ll i)
{
    if (dsu[i]<0) return i;
    return dsu[i]=Find(dsu[i]);
}
 
void Union(ll a, ll b)
{
    a=Find(a), b=Find(b);
    if (a==b) return;
    if (dsu[a]>dsu[b]) swap(a, b);
    P[a]=LCA(P[a], P[b]), dsu[a]+=dsu[b], dsu[b]=a;
}
 
void dfs1(ll u)
{
    for (ll v:A[u])
        if (v!=pa[u])
            dfs1(v), P[col[u]]=LCA(P[col[u]], P[col[v]]);
}
 
int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    ll n, k; cin >> n >> k;
    for (ll i=1; i<n; i++)
    {
        ll u, v; cin >> u >> v;
        A[u].pb(v), A[v].pb(u);
    }
    dfs(1), initlca();
    for (ll i=1; i<=n; i++)
        cin >> col[i], P[col[i]]=LCA(P[col[i]], i), dsu[i]=-1;
    dfs1(1);
    for (ll i=1; i<=n; i++)
        if (i!=P[col[i]])
            Union(col[i], col[pa[i]]);
    for (ll i=1; i<=n; i++) col[i]=Find(col[i]);
    for (ll i=1; i<=k; i++) P[i]=0;
    for (ll i=1; i<=n; i++)
        for (ll j:A[i])
            if (col[i]!=col[j])
            {
                if (P[col[i]]==0) P[col[i]]=col[j];
                else if (P[col[i]]!=col[j]) P[col[i]]=-1;
            }
    ll cnt=0;
    for (ll i=1; i<=k; i++)
        cnt+=P[i]>0;
    cout << (cnt+1)/2;
 
}

Compilation message

mergers.cpp: In function 'void initlca()':
mergers.cpp:34:53: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   34 |             sp[i][j]=min(sp[i-1][j], sp[i-1][j+(1<<i-1)]);
      |                                                    ~^~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25092 KB Output is correct
2 Correct 6 ms 33304 KB Output is correct
3 Correct 6 ms 33116 KB Output is correct
4 Correct 5 ms 26968 KB Output is correct
5 Correct 5 ms 24924 KB Output is correct
6 Correct 5 ms 33116 KB Output is correct
7 Correct 3 ms 18900 KB Output is correct
8 Correct 6 ms 33332 KB Output is correct
9 Correct 4 ms 26972 KB Output is correct
10 Correct 4 ms 23024 KB Output is correct
11 Correct 6 ms 33112 KB Output is correct
12 Correct 5 ms 33112 KB Output is correct
13 Correct 5 ms 26972 KB Output is correct
14 Correct 5 ms 33112 KB Output is correct
15 Correct 5 ms 33112 KB Output is correct
16 Correct 4 ms 24924 KB Output is correct
17 Correct 4 ms 24924 KB Output is correct
18 Correct 5 ms 33116 KB Output is correct
19 Correct 4 ms 25100 KB Output is correct
20 Correct 5 ms 24924 KB Output is correct
21 Correct 5 ms 33292 KB Output is correct
22 Correct 5 ms 33116 KB Output is correct
23 Correct 5 ms 26972 KB Output is correct
24 Correct 5 ms 27228 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25092 KB Output is correct
2 Correct 6 ms 33304 KB Output is correct
3 Correct 6 ms 33116 KB Output is correct
4 Correct 5 ms 26968 KB Output is correct
5 Correct 5 ms 24924 KB Output is correct
6 Correct 5 ms 33116 KB Output is correct
7 Correct 3 ms 18900 KB Output is correct
8 Correct 6 ms 33332 KB Output is correct
9 Correct 4 ms 26972 KB Output is correct
10 Correct 4 ms 23024 KB Output is correct
11 Correct 6 ms 33112 KB Output is correct
12 Correct 5 ms 33112 KB Output is correct
13 Correct 5 ms 26972 KB Output is correct
14 Correct 5 ms 33112 KB Output is correct
15 Correct 5 ms 33112 KB Output is correct
16 Correct 4 ms 24924 KB Output is correct
17 Correct 4 ms 24924 KB Output is correct
18 Correct 5 ms 33116 KB Output is correct
19 Correct 4 ms 25100 KB Output is correct
20 Correct 5 ms 24924 KB Output is correct
21 Correct 5 ms 33292 KB Output is correct
22 Correct 5 ms 33116 KB Output is correct
23 Correct 5 ms 26972 KB Output is correct
24 Correct 5 ms 27228 KB Output is correct
25 Correct 6 ms 31232 KB Output is correct
26 Correct 10 ms 43868 KB Output is correct
27 Correct 8 ms 43964 KB Output is correct
28 Correct 9 ms 44380 KB Output is correct
29 Correct 9 ms 43868 KB Output is correct
30 Correct 8 ms 43964 KB Output is correct
31 Correct 5 ms 31068 KB Output is correct
32 Correct 8 ms 44124 KB Output is correct
33 Correct 5 ms 31068 KB Output is correct
34 Correct 7 ms 43868 KB Output is correct
35 Correct 8 ms 43868 KB Output is correct
36 Correct 8 ms 43868 KB Output is correct
37 Correct 8 ms 43908 KB Output is correct
38 Correct 6 ms 33112 KB Output is correct
39 Correct 9 ms 43868 KB Output is correct
40 Correct 8 ms 43868 KB Output is correct
41 Correct 9 ms 43868 KB Output is correct
42 Correct 9 ms 43868 KB Output is correct
43 Correct 8 ms 44124 KB Output is correct
44 Correct 6 ms 33116 KB Output is correct
45 Correct 8 ms 43864 KB Output is correct
46 Correct 8 ms 43868 KB Output is correct
47 Correct 6 ms 33116 KB Output is correct
48 Correct 8 ms 43916 KB Output is correct
49 Correct 8 ms 43868 KB Output is correct
50 Correct 8 ms 43868 KB Output is correct
51 Correct 10 ms 43868 KB Output is correct
52 Correct 7 ms 43868 KB Output is correct
53 Correct 8 ms 43972 KB Output is correct
54 Correct 8 ms 43868 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25092 KB Output is correct
2 Correct 6 ms 33304 KB Output is correct
3 Correct 6 ms 33116 KB Output is correct
4 Correct 5 ms 26968 KB Output is correct
5 Correct 5 ms 24924 KB Output is correct
6 Correct 5 ms 33116 KB Output is correct
7 Correct 3 ms 18900 KB Output is correct
8 Correct 6 ms 33332 KB Output is correct
9 Correct 4 ms 26972 KB Output is correct
10 Correct 4 ms 23024 KB Output is correct
11 Correct 6 ms 33112 KB Output is correct
12 Correct 5 ms 33112 KB Output is correct
13 Correct 5 ms 26972 KB Output is correct
14 Correct 5 ms 33112 KB Output is correct
15 Correct 5 ms 33112 KB Output is correct
16 Correct 4 ms 24924 KB Output is correct
17 Correct 4 ms 24924 KB Output is correct
18 Correct 5 ms 33116 KB Output is correct
19 Correct 4 ms 25100 KB Output is correct
20 Correct 5 ms 24924 KB Output is correct
21 Correct 5 ms 33292 KB Output is correct
22 Correct 5 ms 33116 KB Output is correct
23 Correct 5 ms 26972 KB Output is correct
24 Correct 5 ms 27228 KB Output is correct
25 Correct 5 ms 31068 KB Output is correct
26 Correct 54 ms 122576 KB Output is correct
27 Correct 74 ms 121588 KB Output is correct
28 Correct 8 ms 43864 KB Output is correct
29 Correct 5 ms 31068 KB Output is correct
30 Correct 5 ms 31064 KB Output is correct
31 Correct 80 ms 121552 KB Output is correct
32 Correct 7 ms 43868 KB Output is correct
33 Correct 75 ms 130748 KB Output is correct
34 Correct 76 ms 122164 KB Output is correct
35 Correct 8 ms 43868 KB Output is correct
36 Correct 67 ms 122024 KB Output is correct
37 Correct 9 ms 43868 KB Output is correct
38 Correct 8 ms 43864 KB Output is correct
39 Correct 56 ms 122640 KB Output is correct
40 Correct 8 ms 44124 KB Output is correct
41 Correct 76 ms 122144 KB Output is correct
42 Correct 72 ms 124488 KB Output is correct
43 Correct 5 ms 33112 KB Output is correct
44 Correct 90 ms 130848 KB Output is correct
45 Correct 74 ms 127416 KB Output is correct
46 Correct 7 ms 43868 KB Output is correct
47 Correct 8 ms 43916 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 122552 KB Output is correct
2 Correct 59 ms 123448 KB Output is correct
3 Correct 9 ms 44124 KB Output is correct
4 Correct 8 ms 43868 KB Output is correct
5 Correct 5 ms 31068 KB Output is correct
6 Correct 5 ms 31068 KB Output is correct
7 Correct 8 ms 43908 KB Output is correct
8 Correct 83 ms 121828 KB Output is correct
9 Correct 8 ms 43868 KB Output is correct
10 Correct 85 ms 121632 KB Output is correct
11 Correct 5 ms 33368 KB Output is correct
12 Correct 73 ms 121340 KB Output is correct
13 Correct 85 ms 121904 KB Output is correct
14 Correct 74 ms 122312 KB Output is correct
15 Correct 61 ms 122684 KB Output is correct
16 Correct 8 ms 43868 KB Output is correct
17 Correct 5 ms 33116 KB Output is correct
18 Correct 57 ms 123448 KB Output is correct
19 Correct 87 ms 126632 KB Output is correct
20 Correct 9 ms 43864 KB Output is correct
21 Correct 5 ms 33312 KB Output is correct
22 Correct 59 ms 123328 KB Output is correct
23 Correct 8 ms 43864 KB Output is correct
24 Correct 89 ms 120868 KB Output is correct
25 Correct 87 ms 126656 KB Output is correct
26 Correct 7 ms 43864 KB Output is correct
27 Correct 8 ms 43868 KB Output is correct
28 Correct 8 ms 43868 KB Output is correct
29 Correct 8 ms 43868 KB Output is correct
30 Correct 8 ms 43864 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 25092 KB Output is correct
2 Correct 6 ms 33304 KB Output is correct
3 Correct 6 ms 33116 KB Output is correct
4 Correct 5 ms 26968 KB Output is correct
5 Correct 5 ms 24924 KB Output is correct
6 Correct 5 ms 33116 KB Output is correct
7 Correct 3 ms 18900 KB Output is correct
8 Correct 6 ms 33332 KB Output is correct
9 Correct 4 ms 26972 KB Output is correct
10 Correct 4 ms 23024 KB Output is correct
11 Correct 6 ms 33112 KB Output is correct
12 Correct 5 ms 33112 KB Output is correct
13 Correct 5 ms 26972 KB Output is correct
14 Correct 5 ms 33112 KB Output is correct
15 Correct 5 ms 33112 KB Output is correct
16 Correct 4 ms 24924 KB Output is correct
17 Correct 4 ms 24924 KB Output is correct
18 Correct 5 ms 33116 KB Output is correct
19 Correct 4 ms 25100 KB Output is correct
20 Correct 5 ms 24924 KB Output is correct
21 Correct 5 ms 33292 KB Output is correct
22 Correct 5 ms 33116 KB Output is correct
23 Correct 5 ms 26972 KB Output is correct
24 Correct 5 ms 27228 KB Output is correct
25 Correct 6 ms 31232 KB Output is correct
26 Correct 10 ms 43868 KB Output is correct
27 Correct 8 ms 43964 KB Output is correct
28 Correct 9 ms 44380 KB Output is correct
29 Correct 9 ms 43868 KB Output is correct
30 Correct 8 ms 43964 KB Output is correct
31 Correct 5 ms 31068 KB Output is correct
32 Correct 8 ms 44124 KB Output is correct
33 Correct 5 ms 31068 KB Output is correct
34 Correct 7 ms 43868 KB Output is correct
35 Correct 8 ms 43868 KB Output is correct
36 Correct 8 ms 43868 KB Output is correct
37 Correct 8 ms 43908 KB Output is correct
38 Correct 6 ms 33112 KB Output is correct
39 Correct 9 ms 43868 KB Output is correct
40 Correct 8 ms 43868 KB Output is correct
41 Correct 9 ms 43868 KB Output is correct
42 Correct 9 ms 43868 KB Output is correct
43 Correct 8 ms 44124 KB Output is correct
44 Correct 6 ms 33116 KB Output is correct
45 Correct 8 ms 43864 KB Output is correct
46 Correct 8 ms 43868 KB Output is correct
47 Correct 6 ms 33116 KB Output is correct
48 Correct 8 ms 43916 KB Output is correct
49 Correct 8 ms 43868 KB Output is correct
50 Correct 8 ms 43868 KB Output is correct
51 Correct 10 ms 43868 KB Output is correct
52 Correct 7 ms 43868 KB Output is correct
53 Correct 8 ms 43972 KB Output is correct
54 Correct 8 ms 43868 KB Output is correct
55 Correct 5 ms 31068 KB Output is correct
56 Correct 54 ms 122576 KB Output is correct
57 Correct 74 ms 121588 KB Output is correct
58 Correct 8 ms 43864 KB Output is correct
59 Correct 5 ms 31068 KB Output is correct
60 Correct 5 ms 31064 KB Output is correct
61 Correct 80 ms 121552 KB Output is correct
62 Correct 7 ms 43868 KB Output is correct
63 Correct 75 ms 130748 KB Output is correct
64 Correct 76 ms 122164 KB Output is correct
65 Correct 8 ms 43868 KB Output is correct
66 Correct 67 ms 122024 KB Output is correct
67 Correct 9 ms 43868 KB Output is correct
68 Correct 8 ms 43864 KB Output is correct
69 Correct 56 ms 122640 KB Output is correct
70 Correct 8 ms 44124 KB Output is correct
71 Correct 76 ms 122144 KB Output is correct
72 Correct 72 ms 124488 KB Output is correct
73 Correct 5 ms 33112 KB Output is correct
74 Correct 90 ms 130848 KB Output is correct
75 Correct 74 ms 127416 KB Output is correct
76 Correct 7 ms 43868 KB Output is correct
77 Correct 8 ms 43916 KB Output is correct
78 Correct 56 ms 122552 KB Output is correct
79 Correct 59 ms 123448 KB Output is correct
80 Correct 9 ms 44124 KB Output is correct
81 Correct 8 ms 43868 KB Output is correct
82 Correct 5 ms 31068 KB Output is correct
83 Correct 5 ms 31068 KB Output is correct
84 Correct 8 ms 43908 KB Output is correct
85 Correct 83 ms 121828 KB Output is correct
86 Correct 8 ms 43868 KB Output is correct
87 Correct 85 ms 121632 KB Output is correct
88 Correct 5 ms 33368 KB Output is correct
89 Correct 73 ms 121340 KB Output is correct
90 Correct 85 ms 121904 KB Output is correct
91 Correct 74 ms 122312 KB Output is correct
92 Correct 61 ms 122684 KB Output is correct
93 Correct 8 ms 43868 KB Output is correct
94 Correct 5 ms 33116 KB Output is correct
95 Correct 57 ms 123448 KB Output is correct
96 Correct 87 ms 126632 KB Output is correct
97 Correct 9 ms 43864 KB Output is correct
98 Correct 5 ms 33312 KB Output is correct
99 Correct 59 ms 123328 KB Output is correct
100 Correct 8 ms 43864 KB Output is correct
101 Correct 89 ms 120868 KB Output is correct
102 Correct 87 ms 126656 KB Output is correct
103 Correct 7 ms 43864 KB Output is correct
104 Correct 8 ms 43868 KB Output is correct
105 Correct 8 ms 43868 KB Output is correct
106 Correct 8 ms 43868 KB Output is correct
107 Correct 8 ms 43864 KB Output is correct
108 Runtime error 206 ms 262144 KB Execution killed with signal 9
109 Halted 0 ms 0 KB -