oj.uz

Submission #949226

# Submission time Handle Problem Language Result Execution time Memory
949226 2024-03-19T04:00:14 Z Tuanlinh123 Mergers (JOI19_mergers) C++17
70 / 100
 710 ms 241948 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];
vector <pll> euler;
vector <ll> leaf, A[maxn];
ll P[maxn], col[maxn], lca[maxn], pa[maxn], dsu[maxn], cnt[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), cnt[u]+=cnt[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[col[i]]=-1;
    for (ll i=1; i<=n; i++)
        cnt[i]++, cnt[P[col[i]]]--;
    dfs1(1);
    for (ll i=1; i<=n; i++)
        if (pa[i] && cnt[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++)
        if (!cnt[i] && pa[i])
            P[col[i]]++, P[col[pa[i]]]++;
    ll cnt=0;
    for (ll i=1; i<=k; i++)
        cnt+=P[i]==1;
    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 5 ms 26972 KB Output is correct
2 Correct 6 ms 35164 KB Output is correct
3 Correct 6 ms 35164 KB Output is correct
4 Correct 5 ms 29208 KB Output is correct
5 Correct 5 ms 26972 KB Output is correct
6 Correct 6 ms 35164 KB Output is correct
7 Correct 4 ms 20828 KB Output is correct
8 Correct 5 ms 35160 KB Output is correct
9 Correct 5 ms 29020 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 35164 KB Output is correct
12 Correct 6 ms 35160 KB Output is correct
13 Correct 5 ms 29192 KB Output is correct
14 Correct 7 ms 35164 KB Output is correct
15 Correct 6 ms 35160 KB Output is correct
16 Correct 5 ms 26972 KB Output is correct
17 Correct 5 ms 26972 KB Output is correct
18 Correct 6 ms 35164 KB Output is correct
19 Correct 5 ms 26972 KB Output is correct
20 Correct 5 ms 27072 KB Output is correct
21 Correct 6 ms 35160 KB Output is correct
22 Correct 6 ms 35160 KB Output is correct
23 Correct 6 ms 29016 KB Output is correct
24 Correct 5 ms 29020 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 26972 KB Output is correct
2 Correct 6 ms 35164 KB Output is correct
3 Correct 6 ms 35164 KB Output is correct
4 Correct 5 ms 29208 KB Output is correct
5 Correct 5 ms 26972 KB Output is correct
6 Correct 6 ms 35164 KB Output is correct
7 Correct 4 ms 20828 KB Output is correct
8 Correct 5 ms 35160 KB Output is correct
9 Correct 5 ms 29020 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 35164 KB Output is correct
12 Correct 6 ms 35160 KB Output is correct
13 Correct 5 ms 29192 KB Output is correct
14 Correct 7 ms 35164 KB Output is correct
15 Correct 6 ms 35160 KB Output is correct
16 Correct 5 ms 26972 KB Output is correct
17 Correct 5 ms 26972 KB Output is correct
18 Correct 6 ms 35164 KB Output is correct
19 Correct 5 ms 26972 KB Output is correct
20 Correct 5 ms 27072 KB Output is correct
21 Correct 6 ms 35160 KB Output is correct
22 Correct 6 ms 35160 KB Output is correct
23 Correct 6 ms 29016 KB Output is correct
24 Correct 5 ms 29020 KB Output is correct
25 Correct 7 ms 33116 KB Output is correct
26 Correct 21 ms 48048 KB Output is correct
27 Correct 9 ms 47964 KB Output is correct
28 Correct 10 ms 48220 KB Output is correct
29 Correct 8 ms 47964 KB Output is correct
30 Correct 8 ms 47964 KB Output is correct
31 Correct 6 ms 33116 KB Output is correct
32 Correct 9 ms 48220 KB Output is correct
33 Correct 6 ms 33116 KB Output is correct
34 Correct 9 ms 47964 KB Output is correct
35 Correct 9 ms 47964 KB Output is correct
36 Correct 10 ms 47964 KB Output is correct
37 Correct 37 ms 47960 KB Output is correct
38 Correct 6 ms 35160 KB Output is correct
39 Correct 10 ms 47960 KB Output is correct
40 Correct 9 ms 47964 KB Output is correct
41 Correct 9 ms 47964 KB Output is correct
42 Correct 8 ms 47964 KB Output is correct
43 Correct 8 ms 48220 KB Output is correct
44 Correct 6 ms 35160 KB Output is correct
45 Correct 9 ms 47964 KB Output is correct
46 Correct 10 ms 47980 KB Output is correct
47 Correct 7 ms 35160 KB Output is correct
48 Correct 8 ms 47964 KB Output is correct
49 Correct 10 ms 47964 KB Output is correct
50 Correct 9 ms 47964 KB Output is correct
51 Correct 9 ms 47964 KB Output is correct
52 Correct 8 ms 47960 KB Output is correct
53 Correct 8 ms 47960 KB Output is correct
54 Correct 9 ms 47964 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 26972 KB Output is correct
2 Correct 6 ms 35164 KB Output is correct
3 Correct 6 ms 35164 KB Output is correct
4 Correct 5 ms 29208 KB Output is correct
5 Correct 5 ms 26972 KB Output is correct
6 Correct 6 ms 35164 KB Output is correct
7 Correct 4 ms 20828 KB Output is correct
8 Correct 5 ms 35160 KB Output is correct
9 Correct 5 ms 29020 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 35164 KB Output is correct
12 Correct 6 ms 35160 KB Output is correct
13 Correct 5 ms 29192 KB Output is correct
14 Correct 7 ms 35164 KB Output is correct
15 Correct 6 ms 35160 KB Output is correct
16 Correct 5 ms 26972 KB Output is correct
17 Correct 5 ms 26972 KB Output is correct
18 Correct 6 ms 35164 KB Output is correct
19 Correct 5 ms 26972 KB Output is correct
20 Correct 5 ms 27072 KB Output is correct
21 Correct 6 ms 35160 KB Output is correct
22 Correct 6 ms 35160 KB Output is correct
23 Correct 6 ms 29016 KB Output is correct
24 Correct 5 ms 29020 KB Output is correct
25 Correct 6 ms 33368 KB Output is correct
26 Correct 67 ms 85312 KB Output is correct
27 Correct 92 ms 76128 KB Output is correct
28 Correct 9 ms 47964 KB Output is correct
29 Correct 6 ms 33116 KB Output is correct
30 Correct 5 ms 33116 KB Output is correct
31 Correct 89 ms 123700 KB Output is correct
32 Correct 8 ms 47964 KB Output is correct
33 Correct 106 ms 133440 KB Output is correct
34 Correct 79 ms 116004 KB Output is correct
35 Correct 10 ms 47964 KB Output is correct
36 Correct 85 ms 101896 KB Output is correct
37 Correct 9 ms 48012 KB Output is correct
38 Correct 8 ms 48024 KB Output is correct
39 Correct 57 ms 104160 KB Output is correct
40 Correct 9 ms 48216 KB Output is correct
41 Correct 68 ms 103096 KB Output is correct
42 Correct 77 ms 105904 KB Output is correct
43 Correct 6 ms 35160 KB Output is correct
44 Correct 83 ms 109512 KB Output is correct
45 Correct 80 ms 108132 KB Output is correct
46 Correct 8 ms 47960 KB Output is correct
47 Correct 8 ms 47964 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 101312 KB Output is correct
2 Correct 58 ms 127568 KB Output is correct
3 Correct 10 ms 48052 KB Output is correct
4 Correct 8 ms 47960 KB Output is correct
5 Correct 6 ms 33116 KB Output is correct
6 Correct 6 ms 33116 KB Output is correct
7 Correct 8 ms 48020 KB Output is correct
8 Correct 82 ms 121192 KB Output is correct
9 Correct 9 ms 47904 KB Output is correct
10 Correct 92 ms 123788 KB Output is correct
11 Correct 6 ms 35164 KB Output is correct
12 Correct 97 ms 122608 KB Output is correct
13 Correct 94 ms 126048 KB Output is correct
14 Correct 71 ms 112832 KB Output is correct
15 Correct 63 ms 103216 KB Output is correct
16 Correct 8 ms 47964 KB Output is correct
17 Correct 6 ms 35164 KB Output is correct
18 Correct 65 ms 91824 KB Output is correct
19 Correct 93 ms 87996 KB Output is correct
20 Correct 7 ms 13660 KB Output is correct
21 Correct 6 ms 35372 KB Output is correct
22 Correct 66 ms 127640 KB Output is correct
23 Correct 9 ms 47960 KB Output is correct
24 Correct 94 ms 123712 KB Output is correct
25 Correct 82 ms 122020 KB Output is correct
26 Correct 10 ms 47964 KB Output is correct
27 Correct 8 ms 48216 KB Output is correct
28 Correct 9 ms 47964 KB Output is correct
29 Correct 8 ms 47964 KB Output is correct
30 Correct 8 ms 48040 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 26972 KB Output is correct
2 Correct 6 ms 35164 KB Output is correct
3 Correct 6 ms 35164 KB Output is correct
4 Correct 5 ms 29208 KB Output is correct
5 Correct 5 ms 26972 KB Output is correct
6 Correct 6 ms 35164 KB Output is correct
7 Correct 4 ms 20828 KB Output is correct
8 Correct 5 ms 35160 KB Output is correct
9 Correct 5 ms 29020 KB Output is correct
10 Correct 5 ms 24924 KB Output is correct
11 Correct 6 ms 35164 KB Output is correct
12 Correct 6 ms 35160 KB Output is correct
13 Correct 5 ms 29192 KB Output is correct
14 Correct 7 ms 35164 KB Output is correct
15 Correct 6 ms 35160 KB Output is correct
16 Correct 5 ms 26972 KB Output is correct
17 Correct 5 ms 26972 KB Output is correct
18 Correct 6 ms 35164 KB Output is correct
19 Correct 5 ms 26972 KB Output is correct
20 Correct 5 ms 27072 KB Output is correct
21 Correct 6 ms 35160 KB Output is correct
22 Correct 6 ms 35160 KB Output is correct
23 Correct 6 ms 29016 KB Output is correct
24 Correct 5 ms 29020 KB Output is correct
25 Correct 7 ms 33116 KB Output is correct
26 Correct 21 ms 48048 KB Output is correct
27 Correct 9 ms 47964 KB Output is correct
28 Correct 10 ms 48220 KB Output is correct
29 Correct 8 ms 47964 KB Output is correct
30 Correct 8 ms 47964 KB Output is correct
31 Correct 6 ms 33116 KB Output is correct
32 Correct 9 ms 48220 KB Output is correct
33 Correct 6 ms 33116 KB Output is correct
34 Correct 9 ms 47964 KB Output is correct
35 Correct 9 ms 47964 KB Output is correct
36 Correct 10 ms 47964 KB Output is correct
37 Correct 37 ms 47960 KB Output is correct
38 Correct 6 ms 35160 KB Output is correct
39 Correct 10 ms 47960 KB Output is correct
40 Correct 9 ms 47964 KB Output is correct
41 Correct 9 ms 47964 KB Output is correct
42 Correct 8 ms 47964 KB Output is correct
43 Correct 8 ms 48220 KB Output is correct
44 Correct 6 ms 35160 KB Output is correct
45 Correct 9 ms 47964 KB Output is correct
46 Correct 10 ms 47980 KB Output is correct
47 Correct 7 ms 35160 KB Output is correct
48 Correct 8 ms 47964 KB Output is correct
49 Correct 10 ms 47964 KB Output is correct
50 Correct 9 ms 47964 KB Output is correct
51 Correct 9 ms 47964 KB Output is correct
52 Correct 8 ms 47960 KB Output is correct
53 Correct 8 ms 47960 KB Output is correct
54 Correct 9 ms 47964 KB Output is correct
55 Correct 6 ms 33368 KB Output is correct
56 Correct 67 ms 85312 KB Output is correct
57 Correct 92 ms 76128 KB Output is correct
58 Correct 9 ms 47964 KB Output is correct
59 Correct 6 ms 33116 KB Output is correct
60 Correct 5 ms 33116 KB Output is correct
61 Correct 89 ms 123700 KB Output is correct
62 Correct 8 ms 47964 KB Output is correct
63 Correct 106 ms 133440 KB Output is correct
64 Correct 79 ms 116004 KB Output is correct
65 Correct 10 ms 47964 KB Output is correct
66 Correct 85 ms 101896 KB Output is correct
67 Correct 9 ms 48012 KB Output is correct
68 Correct 8 ms 48024 KB Output is correct
69 Correct 57 ms 104160 KB Output is correct
70 Correct 9 ms 48216 KB Output is correct
71 Correct 68 ms 103096 KB Output is correct
72 Correct 77 ms 105904 KB Output is correct
73 Correct 6 ms 35160 KB Output is correct
74 Correct 83 ms 109512 KB Output is correct
75 Correct 80 ms 108132 KB Output is correct
76 Correct 8 ms 47960 KB Output is correct
77 Correct 8 ms 47964 KB Output is correct
78 Correct 57 ms 101312 KB Output is correct
79 Correct 58 ms 127568 KB Output is correct
80 Correct 10 ms 48052 KB Output is correct
81 Correct 8 ms 47960 KB Output is correct
82 Correct 6 ms 33116 KB Output is correct
83 Correct 6 ms 33116 KB Output is correct
84 Correct 8 ms 48020 KB Output is correct
85 Correct 82 ms 121192 KB Output is correct
86 Correct 9 ms 47904 KB Output is correct
87 Correct 92 ms 123788 KB Output is correct
88 Correct 6 ms 35164 KB Output is correct
89 Correct 97 ms 122608 KB Output is correct
90 Correct 94 ms 126048 KB Output is correct
91 Correct 71 ms 112832 KB Output is correct
92 Correct 63 ms 103216 KB Output is correct
93 Correct 8 ms 47964 KB Output is correct
94 Correct 6 ms 35164 KB Output is correct
95 Correct 65 ms 91824 KB Output is correct
96 Correct 93 ms 87996 KB Output is correct
97 Correct 7 ms 13660 KB Output is correct
98 Correct 6 ms 35372 KB Output is correct
99 Correct 66 ms 127640 KB Output is correct
100 Correct 9 ms 47960 KB Output is correct
101 Correct 94 ms 123712 KB Output is correct
102 Correct 82 ms 122020 KB Output is correct
103 Correct 10 ms 47964 KB Output is correct
104 Correct 8 ms 48216 KB Output is correct
105 Correct 9 ms 47964 KB Output is correct
106 Correct 8 ms 47964 KB Output is correct
107 Correct 8 ms 48040 KB Output is correct
108 Correct 422 ms 231192 KB Output is correct
109 Incorrect 710 ms 241948 KB Output isn't correct
110 Halted 0 ms 0 KB -