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Submission #949253

# Submission time Handle Problem Language Result Execution time Memory
949253 2024-03-19T04:11:23 Z Tuanlinh123 Mergers (JOI19_mergers) C++17
70 / 100
 187 ms 262144 KB 
#include<bits/stdc++.h>
#define ll int
#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=2000005;
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 21 ms 59740 KB Output is correct
2 Correct 13 ms 68096 KB Output is correct
3 Correct 14 ms 68200 KB Output is correct
4 Correct 13 ms 62032 KB Output is correct
5 Correct 12 ms 59740 KB Output is correct
6 Correct 13 ms 68440 KB Output is correct
7 Correct 11 ms 53820 KB Output is correct
8 Correct 13 ms 68064 KB Output is correct
9 Correct 13 ms 61784 KB Output is correct
10 Correct 12 ms 57692 KB Output is correct
11 Correct 13 ms 68188 KB Output is correct
12 Correct 15 ms 68188 KB Output is correct
13 Correct 12 ms 61788 KB Output is correct
14 Correct 14 ms 68196 KB Output is correct
15 Correct 13 ms 68188 KB Output is correct
16 Correct 12 ms 59740 KB Output is correct
17 Correct 13 ms 59736 KB Output is correct
18 Correct 13 ms 68200 KB Output is correct
19 Correct 12 ms 59740 KB Output is correct
20 Correct 13 ms 59740 KB Output is correct
21 Correct 13 ms 68184 KB Output is correct
22 Correct 13 ms 68188 KB Output is correct
23 Correct 13 ms 61928 KB Output is correct
24 Correct 12 ms 61788 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 59740 KB Output is correct
2 Correct 13 ms 68096 KB Output is correct
3 Correct 14 ms 68200 KB Output is correct
4 Correct 13 ms 62032 KB Output is correct
5 Correct 12 ms 59740 KB Output is correct
6 Correct 13 ms 68440 KB Output is correct
7 Correct 11 ms 53820 KB Output is correct
8 Correct 13 ms 68064 KB Output is correct
9 Correct 13 ms 61784 KB Output is correct
10 Correct 12 ms 57692 KB Output is correct
11 Correct 13 ms 68188 KB Output is correct
12 Correct 15 ms 68188 KB Output is correct
13 Correct 12 ms 61788 KB Output is correct
14 Correct 14 ms 68196 KB Output is correct
15 Correct 13 ms 68188 KB Output is correct
16 Correct 12 ms 59740 KB Output is correct
17 Correct 13 ms 59736 KB Output is correct
18 Correct 13 ms 68200 KB Output is correct
19 Correct 12 ms 59740 KB Output is correct
20 Correct 13 ms 59740 KB Output is correct
21 Correct 13 ms 68184 KB Output is correct
22 Correct 13 ms 68188 KB Output is correct
23 Correct 13 ms 61928 KB Output is correct
24 Correct 12 ms 61788 KB Output is correct
25 Correct 13 ms 66140 KB Output is correct
26 Correct 17 ms 78552 KB Output is correct
27 Correct 15 ms 78684 KB Output is correct
28 Correct 16 ms 78684 KB Output is correct
29 Correct 16 ms 78568 KB Output is correct
30 Correct 16 ms 78684 KB Output is correct
31 Correct 13 ms 66140 KB Output is correct
32 Correct 16 ms 78680 KB Output is correct
33 Correct 14 ms 66132 KB Output is correct
34 Correct 15 ms 78684 KB Output is correct
35 Correct 17 ms 78680 KB Output is correct
36 Correct 18 ms 78684 KB Output is correct
37 Correct 17 ms 78680 KB Output is correct
38 Correct 14 ms 68188 KB Output is correct
39 Correct 17 ms 78704 KB Output is correct
40 Correct 16 ms 78584 KB Output is correct
41 Correct 16 ms 78684 KB Output is correct
42 Correct 15 ms 78684 KB Output is correct
43 Correct 16 ms 78940 KB Output is correct
44 Correct 15 ms 68188 KB Output is correct
45 Correct 16 ms 78684 KB Output is correct
46 Correct 17 ms 78684 KB Output is correct
47 Correct 13 ms 68040 KB Output is correct
48 Correct 16 ms 78580 KB Output is correct
49 Correct 17 ms 78680 KB Output is correct
50 Correct 15 ms 78712 KB Output is correct
51 Correct 17 ms 78684 KB Output is correct
52 Correct 15 ms 78684 KB Output is correct
53 Correct 16 ms 78552 KB Output is correct
54 Correct 18 ms 78684 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 59740 KB Output is correct
2 Correct 13 ms 68096 KB Output is correct
3 Correct 14 ms 68200 KB Output is correct
4 Correct 13 ms 62032 KB Output is correct
5 Correct 12 ms 59740 KB Output is correct
6 Correct 13 ms 68440 KB Output is correct
7 Correct 11 ms 53820 KB Output is correct
8 Correct 13 ms 68064 KB Output is correct
9 Correct 13 ms 61784 KB Output is correct
10 Correct 12 ms 57692 KB Output is correct
11 Correct 13 ms 68188 KB Output is correct
12 Correct 15 ms 68188 KB Output is correct
13 Correct 12 ms 61788 KB Output is correct
14 Correct 14 ms 68196 KB Output is correct
15 Correct 13 ms 68188 KB Output is correct
16 Correct 12 ms 59740 KB Output is correct
17 Correct 13 ms 59736 KB Output is correct
18 Correct 13 ms 68200 KB Output is correct
19 Correct 12 ms 59740 KB Output is correct
20 Correct 13 ms 59740 KB Output is correct
21 Correct 13 ms 68184 KB Output is correct
22 Correct 13 ms 68188 KB Output is correct
23 Correct 13 ms 61928 KB Output is correct
24 Correct 12 ms 61788 KB Output is correct
25 Correct 13 ms 66136 KB Output is correct
26 Correct 58 ms 121796 KB Output is correct
27 Correct 70 ms 121028 KB Output is correct
28 Correct 16 ms 78596 KB Output is correct
29 Correct 14 ms 66140 KB Output is correct
30 Correct 13 ms 66140 KB Output is correct
31 Correct 81 ms 121176 KB Output is correct
32 Correct 18 ms 78684 KB Output is correct
33 Correct 78 ms 129292 KB Output is correct
34 Correct 76 ms 121640 KB Output is correct
35 Correct 17 ms 78680 KB Output is correct
36 Correct 92 ms 121968 KB Output is correct
37 Correct 18 ms 78680 KB Output is correct
38 Correct 16 ms 78684 KB Output is correct
39 Correct 63 ms 121956 KB Output is correct
40 Correct 16 ms 78940 KB Output is correct
41 Correct 75 ms 121028 KB Output is correct
42 Correct 89 ms 123880 KB Output is correct
43 Correct 14 ms 68188 KB Output is correct
44 Correct 89 ms 129784 KB Output is correct
45 Correct 86 ms 125584 KB Output is correct
46 Correct 16 ms 78572 KB Output is correct
47 Correct 17 ms 78684 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 121920 KB Output is correct
2 Correct 71 ms 122244 KB Output is correct
3 Correct 16 ms 78684 KB Output is correct
4 Correct 15 ms 78592 KB Output is correct
5 Correct 13 ms 66140 KB Output is correct
6 Correct 13 ms 66140 KB Output is correct
7 Correct 17 ms 78684 KB Output is correct
8 Correct 95 ms 121280 KB Output is correct
9 Correct 18 ms 78684 KB Output is correct
10 Correct 104 ms 121192 KB Output is correct
11 Correct 13 ms 68188 KB Output is correct
12 Correct 76 ms 120676 KB Output is correct
13 Correct 94 ms 121316 KB Output is correct
14 Correct 80 ms 121536 KB Output is correct
15 Correct 68 ms 121880 KB Output is correct
16 Correct 19 ms 78684 KB Output is correct
17 Correct 13 ms 68188 KB Output is correct
18 Correct 61 ms 122244 KB Output is correct
19 Correct 76 ms 125812 KB Output is correct
20 Correct 18 ms 78936 KB Output is correct
21 Correct 14 ms 68180 KB Output is correct
22 Correct 73 ms 122500 KB Output is correct
23 Correct 16 ms 78684 KB Output is correct
24 Correct 84 ms 120740 KB Output is correct
25 Correct 92 ms 124608 KB Output is correct
26 Correct 17 ms 78684 KB Output is correct
27 Correct 16 ms 78680 KB Output is correct
28 Correct 16 ms 78684 KB Output is correct
29 Correct 15 ms 78684 KB Output is correct
30 Correct 15 ms 78684 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 59740 KB Output is correct
2 Correct 13 ms 68096 KB Output is correct
3 Correct 14 ms 68200 KB Output is correct
4 Correct 13 ms 62032 KB Output is correct
5 Correct 12 ms 59740 KB Output is correct
6 Correct 13 ms 68440 KB Output is correct
7 Correct 11 ms 53820 KB Output is correct
8 Correct 13 ms 68064 KB Output is correct
9 Correct 13 ms 61784 KB Output is correct
10 Correct 12 ms 57692 KB Output is correct
11 Correct 13 ms 68188 KB Output is correct
12 Correct 15 ms 68188 KB Output is correct
13 Correct 12 ms 61788 KB Output is correct
14 Correct 14 ms 68196 KB Output is correct
15 Correct 13 ms 68188 KB Output is correct
16 Correct 12 ms 59740 KB Output is correct
17 Correct 13 ms 59736 KB Output is correct
18 Correct 13 ms 68200 KB Output is correct
19 Correct 12 ms 59740 KB Output is correct
20 Correct 13 ms 59740 KB Output is correct
21 Correct 13 ms 68184 KB Output is correct
22 Correct 13 ms 68188 KB Output is correct
23 Correct 13 ms 61928 KB Output is correct
24 Correct 12 ms 61788 KB Output is correct
25 Correct 13 ms 66140 KB Output is correct
26 Correct 17 ms 78552 KB Output is correct
27 Correct 15 ms 78684 KB Output is correct
28 Correct 16 ms 78684 KB Output is correct
29 Correct 16 ms 78568 KB Output is correct
30 Correct 16 ms 78684 KB Output is correct
31 Correct 13 ms 66140 KB Output is correct
32 Correct 16 ms 78680 KB Output is correct
33 Correct 14 ms 66132 KB Output is correct
34 Correct 15 ms 78684 KB Output is correct
35 Correct 17 ms 78680 KB Output is correct
36 Correct 18 ms 78684 KB Output is correct
37 Correct 17 ms 78680 KB Output is correct
38 Correct 14 ms 68188 KB Output is correct
39 Correct 17 ms 78704 KB Output is correct
40 Correct 16 ms 78584 KB Output is correct
41 Correct 16 ms 78684 KB Output is correct
42 Correct 15 ms 78684 KB Output is correct
43 Correct 16 ms 78940 KB Output is correct
44 Correct 15 ms 68188 KB Output is correct
45 Correct 16 ms 78684 KB Output is correct
46 Correct 17 ms 78684 KB Output is correct
47 Correct 13 ms 68040 KB Output is correct
48 Correct 16 ms 78580 KB Output is correct
49 Correct 17 ms 78680 KB Output is correct
50 Correct 15 ms 78712 KB Output is correct
51 Correct 17 ms 78684 KB Output is correct
52 Correct 15 ms 78684 KB Output is correct
53 Correct 16 ms 78552 KB Output is correct
54 Correct 18 ms 78684 KB Output is correct
55 Correct 13 ms 66136 KB Output is correct
56 Correct 58 ms 121796 KB Output is correct
57 Correct 70 ms 121028 KB Output is correct
58 Correct 16 ms 78596 KB Output is correct
59 Correct 14 ms 66140 KB Output is correct
60 Correct 13 ms 66140 KB Output is correct
61 Correct 81 ms 121176 KB Output is correct
62 Correct 18 ms 78684 KB Output is correct
63 Correct 78 ms 129292 KB Output is correct
64 Correct 76 ms 121640 KB Output is correct
65 Correct 17 ms 78680 KB Output is correct
66 Correct 92 ms 121968 KB Output is correct
67 Correct 18 ms 78680 KB Output is correct
68 Correct 16 ms 78684 KB Output is correct
69 Correct 63 ms 121956 KB Output is correct
70 Correct 16 ms 78940 KB Output is correct
71 Correct 75 ms 121028 KB Output is correct
72 Correct 89 ms 123880 KB Output is correct
73 Correct 14 ms 68188 KB Output is correct
74 Correct 89 ms 129784 KB Output is correct
75 Correct 86 ms 125584 KB Output is correct
76 Correct 16 ms 78572 KB Output is correct
77 Correct 17 ms 78684 KB Output is correct
78 Correct 59 ms 121920 KB Output is correct
79 Correct 71 ms 122244 KB Output is correct
80 Correct 16 ms 78684 KB Output is correct
81 Correct 15 ms 78592 KB Output is correct
82 Correct 13 ms 66140 KB Output is correct
83 Correct 13 ms 66140 KB Output is correct
84 Correct 17 ms 78684 KB Output is correct
85 Correct 95 ms 121280 KB Output is correct
86 Correct 18 ms 78684 KB Output is correct
87 Correct 104 ms 121192 KB Output is correct
88 Correct 13 ms 68188 KB Output is correct
89 Correct 76 ms 120676 KB Output is correct
90 Correct 94 ms 121316 KB Output is correct
91 Correct 80 ms 121536 KB Output is correct
92 Correct 68 ms 121880 KB Output is correct
93 Correct 19 ms 78684 KB Output is correct
94 Correct 13 ms 68188 KB Output is correct
95 Correct 61 ms 122244 KB Output is correct
96 Correct 76 ms 125812 KB Output is correct
97 Correct 18 ms 78936 KB Output is correct
98 Correct 14 ms 68180 KB Output is correct
99 Correct 73 ms 122500 KB Output is correct
100 Correct 16 ms 78684 KB Output is correct
101 Correct 84 ms 120740 KB Output is correct
102 Correct 92 ms 124608 KB Output is correct
103 Correct 17 ms 78684 KB Output is correct
104 Correct 16 ms 78680 KB Output is correct
105 Correct 16 ms 78684 KB Output is correct
106 Correct 15 ms 78684 KB Output is correct
107 Correct 15 ms 78684 KB Output is correct
108 Runtime error 187 ms 262144 KB Execution killed with signal 9
109 Halted 0 ms 0 KB -