oj.uz

Submission #711803

# Submission time Handle Problem Language Result Execution time Memory
711803 2023-03-17T14:25:50 Z lukameladze Mergers (JOI19_mergers) C++14
100 / 100
 1259 ms 135944 KB 
# include <bits/stdc++.h>
using namespace std;
#define f first
#define s second
//#define int long long
#define pii pair <int, int>
#define pb push_back
const int N = 5e5 + 5;
int t,n,a[N],sz[N],tin,in[N],out[N],p[N],par[N][20],k,x[N],lv[N],deg[N];
vector <int> v[N];
vector <pii> vec[N];
void dfs(int a, int p) {
    tin++;
    in[a] = tin;
    par[a][0] = p;
    for (int i = 1; i <= 18; i++) {
        if (par[a][i - 1]) par[a][i] = par[par[a][i - 1]][i - 1];
    }
    lv[a] = lv[p] + 1;
    for (int to : v[a]) {
        if (to == p) continue;
        dfs(to, a);
    }
    out[a] = tin;
}
void init() {
    for (int i = 1; i <= n; i++) {
        p[i] = i; sz[i] = 1;
    }
}
int get_col(int a) {
    if (a == p[a]) return a;
    else return p[a] = get_col(p[a]); 
}
void col(int a, int b) {
    a = get_col(a); b = get_col(b);
    if (a == b) return ;
    if (lv[a] > lv[b]) swap(a, b);
    p[b] = a;
}
void merge(int a, int lc) {
    while (get_col(a) != get_col(lc)) {
        col(a, par[get_col(a)][0]);
    }
}
int upper(int a, int b) {
    return (in[a] <= in[b] && out[a] >= out[b]);
}
int lca(int a, int b) {
    if (upper(a, b)) return a;
    for (int i = 18; i >= 0; i--) {
        if (par[a][i] && !upper(par[a][i], b)) a = par[a][i];
    }
    return par[a][0];
}
main() {
    std::ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
    cin>>n>>k;
    vector <pii> edges;
    for (int i = 1; i <= n - 1; i++) {
        int a, b;
        cin>>a>>b;
        v[a].pb(b);
        v[b].pb(a);
        edges.pb({a,b});
    }
    dfs(1, 0);
    for (int i = 1; i <= n; i++) {
        cin>>x[i];
    }
    init();
    for (int i = 1; i <= n; i++) {
        vec[x[i]].pb({in[i], i});
    }
    for (int i = 1; i <= k; i++) {
        for (int j = 0; j < vec[i].size(); j++) {
            int a = vec[i][j].s, b = vec[i][(j + 1) % vec[i].size()].s, lc = lca(a, b);
            merge(a, lc); merge(b, lc);
        }
    }
    for (pii sth : edges) {
        if (get_col(sth.f) != get_col(sth.s)) {
            deg[get_col(sth.f)]++; deg[get_col(sth.s)]++;
        }
    }
    int cnt = 0;
    for (int i = 1; i <= n; i++) {
        cnt += (int)(deg[i] == 1);
    }
    cout<<(cnt + 1) / 2<<"\n";
}

Compilation message

mergers.cpp:56:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   56 | main() {
      | ^~~~
mergers.cpp: In function 'int main()':
mergers.cpp:76:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   76 |         for (int j = 0; j < vec[i].size(); j++) {
      |                         ~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23764 KB Output is correct
2 Correct 14 ms 23836 KB Output is correct
3 Correct 15 ms 23824 KB Output is correct
4 Correct 14 ms 23748 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 14 ms 23828 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 16 ms 23856 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23812 KB Output is correct
11 Correct 14 ms 23856 KB Output is correct
12 Correct 13 ms 23764 KB Output is correct
13 Correct 12 ms 23804 KB Output is correct
14 Correct 13 ms 23876 KB Output is correct
15 Correct 14 ms 23864 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 15 ms 23764 KB Output is correct
19 Correct 14 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 13 ms 23764 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 13 ms 23876 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23764 KB Output is correct
2 Correct 14 ms 23836 KB Output is correct
3 Correct 15 ms 23824 KB Output is correct
4 Correct 14 ms 23748 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 14 ms 23828 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 16 ms 23856 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23812 KB Output is correct
11 Correct 14 ms 23856 KB Output is correct
12 Correct 13 ms 23764 KB Output is correct
13 Correct 12 ms 23804 KB Output is correct
14 Correct 13 ms 23876 KB Output is correct
15 Correct 14 ms 23864 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 15 ms 23764 KB Output is correct
19 Correct 14 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 13 ms 23764 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 13 ms 23876 KB Output is correct
25 Correct 13 ms 23764 KB Output is correct
26 Correct 14 ms 24384 KB Output is correct
27 Correct 13 ms 24312 KB Output is correct
28 Correct 14 ms 24404 KB Output is correct
29 Correct 16 ms 24352 KB Output is correct
30 Correct 14 ms 24276 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 15 ms 24400 KB Output is correct
33 Correct 12 ms 23764 KB Output is correct
34 Correct 15 ms 24316 KB Output is correct
35 Correct 15 ms 24336 KB Output is correct
36 Correct 16 ms 24412 KB Output is correct
37 Correct 17 ms 24292 KB Output is correct
38 Correct 12 ms 23768 KB Output is correct
39 Correct 19 ms 24244 KB Output is correct
40 Correct 14 ms 24276 KB Output is correct
41 Correct 17 ms 24344 KB Output is correct
42 Correct 14 ms 24300 KB Output is correct
43 Correct 14 ms 24428 KB Output is correct
44 Correct 12 ms 23764 KB Output is correct
45 Correct 14 ms 24428 KB Output is correct
46 Correct 14 ms 24356 KB Output is correct
47 Correct 14 ms 23764 KB Output is correct
48 Correct 14 ms 24276 KB Output is correct
49 Correct 14 ms 24428 KB Output is correct
50 Correct 19 ms 24404 KB Output is correct
51 Correct 16 ms 24256 KB Output is correct
52 Correct 16 ms 24276 KB Output is correct
53 Correct 14 ms 24388 KB Output is correct
54 Correct 14 ms 24276 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23764 KB Output is correct
2 Correct 14 ms 23836 KB Output is correct
3 Correct 15 ms 23824 KB Output is correct
4 Correct 14 ms 23748 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 14 ms 23828 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 16 ms 23856 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23812 KB Output is correct
11 Correct 14 ms 23856 KB Output is correct
12 Correct 13 ms 23764 KB Output is correct
13 Correct 12 ms 23804 KB Output is correct
14 Correct 13 ms 23876 KB Output is correct
15 Correct 14 ms 23864 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 15 ms 23764 KB Output is correct
19 Correct 14 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 13 ms 23764 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 13 ms 23876 KB Output is correct
25 Correct 11 ms 23764 KB Output is correct
26 Correct 72 ms 39376 KB Output is correct
27 Correct 110 ms 39124 KB Output is correct
28 Correct 15 ms 24276 KB Output is correct
29 Correct 14 ms 23880 KB Output is correct
30 Correct 13 ms 23764 KB Output is correct
31 Correct 100 ms 39120 KB Output is correct
32 Correct 15 ms 24276 KB Output is correct
33 Correct 139 ms 43224 KB Output is correct
34 Correct 111 ms 39092 KB Output is correct
35 Correct 15 ms 24344 KB Output is correct
36 Correct 126 ms 39504 KB Output is correct
37 Correct 15 ms 24276 KB Output is correct
38 Correct 15 ms 24276 KB Output is correct
39 Correct 75 ms 39352 KB Output is correct
40 Correct 14 ms 24428 KB Output is correct
41 Correct 101 ms 39568 KB Output is correct
42 Correct 154 ms 40468 KB Output is correct
43 Correct 14 ms 23764 KB Output is correct
44 Correct 159 ms 44028 KB Output is correct
45 Correct 171 ms 41224 KB Output is correct
46 Correct 15 ms 24276 KB Output is correct
47 Correct 18 ms 24276 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 39396 KB Output is correct
2 Correct 85 ms 41792 KB Output is correct
3 Correct 16 ms 24280 KB Output is correct
4 Correct 16 ms 24276 KB Output is correct
5 Correct 13 ms 23764 KB Output is correct
6 Correct 14 ms 23780 KB Output is correct
7 Correct 15 ms 24248 KB Output is correct
8 Correct 143 ms 40268 KB Output is correct
9 Correct 14 ms 24236 KB Output is correct
10 Correct 123 ms 39484 KB Output is correct
11 Correct 13 ms 23840 KB Output is correct
12 Correct 103 ms 39424 KB Output is correct
13 Correct 97 ms 40132 KB Output is correct
14 Correct 91 ms 41504 KB Output is correct
15 Correct 77 ms 39344 KB Output is correct
16 Correct 17 ms 24276 KB Output is correct
17 Correct 15 ms 23764 KB Output is correct
18 Correct 93 ms 41528 KB Output is correct
19 Correct 106 ms 43776 KB Output is correct
20 Correct 15 ms 24276 KB Output is correct
21 Correct 15 ms 23888 KB Output is correct
22 Correct 90 ms 40540 KB Output is correct
23 Correct 15 ms 24296 KB Output is correct
24 Correct 109 ms 39824 KB Output is correct
25 Correct 122 ms 42988 KB Output is correct
26 Correct 14 ms 24384 KB Output is correct
27 Correct 15 ms 24404 KB Output is correct
28 Correct 15 ms 24364 KB Output is correct
29 Correct 15 ms 24276 KB Output is correct
30 Correct 16 ms 24372 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 23764 KB Output is correct
2 Correct 14 ms 23836 KB Output is correct
3 Correct 15 ms 23824 KB Output is correct
4 Correct 14 ms 23748 KB Output is correct
5 Correct 14 ms 23808 KB Output is correct
6 Correct 14 ms 23828 KB Output is correct
7 Correct 13 ms 23764 KB Output is correct
8 Correct 16 ms 23856 KB Output is correct
9 Correct 13 ms 23764 KB Output is correct
10 Correct 12 ms 23812 KB Output is correct
11 Correct 14 ms 23856 KB Output is correct
12 Correct 13 ms 23764 KB Output is correct
13 Correct 12 ms 23804 KB Output is correct
14 Correct 13 ms 23876 KB Output is correct
15 Correct 14 ms 23864 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23764 KB Output is correct
18 Correct 15 ms 23764 KB Output is correct
19 Correct 14 ms 23764 KB Output is correct
20 Correct 12 ms 23764 KB Output is correct
21 Correct 13 ms 23764 KB Output is correct
22 Correct 13 ms 23764 KB Output is correct
23 Correct 12 ms 23764 KB Output is correct
24 Correct 13 ms 23876 KB Output is correct
25 Correct 13 ms 23764 KB Output is correct
26 Correct 14 ms 24384 KB Output is correct
27 Correct 13 ms 24312 KB Output is correct
28 Correct 14 ms 24404 KB Output is correct
29 Correct 16 ms 24352 KB Output is correct
30 Correct 14 ms 24276 KB Output is correct
31 Correct 12 ms 23764 KB Output is correct
32 Correct 15 ms 24400 KB Output is correct
33 Correct 12 ms 23764 KB Output is correct
34 Correct 15 ms 24316 KB Output is correct
35 Correct 15 ms 24336 KB Output is correct
36 Correct 16 ms 24412 KB Output is correct
37 Correct 17 ms 24292 KB Output is correct
38 Correct 12 ms 23768 KB Output is correct
39 Correct 19 ms 24244 KB Output is correct
40 Correct 14 ms 24276 KB Output is correct
41 Correct 17 ms 24344 KB Output is correct
42 Correct 14 ms 24300 KB Output is correct
43 Correct 14 ms 24428 KB Output is correct
44 Correct 12 ms 23764 KB Output is correct
45 Correct 14 ms 24428 KB Output is correct
46 Correct 14 ms 24356 KB Output is correct
47 Correct 14 ms 23764 KB Output is correct
48 Correct 14 ms 24276 KB Output is correct
49 Correct 14 ms 24428 KB Output is correct
50 Correct 19 ms 24404 KB Output is correct
51 Correct 16 ms 24256 KB Output is correct
52 Correct 16 ms 24276 KB Output is correct
53 Correct 14 ms 24388 KB Output is correct
54 Correct 14 ms 24276 KB Output is correct
55 Correct 11 ms 23764 KB Output is correct
56 Correct 72 ms 39376 KB Output is correct
57 Correct 110 ms 39124 KB Output is correct
58 Correct 15 ms 24276 KB Output is correct
59 Correct 14 ms 23880 KB Output is correct
60 Correct 13 ms 23764 KB Output is correct
61 Correct 100 ms 39120 KB Output is correct
62 Correct 15 ms 24276 KB Output is correct
63 Correct 139 ms 43224 KB Output is correct
64 Correct 111 ms 39092 KB Output is correct
65 Correct 15 ms 24344 KB Output is correct
66 Correct 126 ms 39504 KB Output is correct
67 Correct 15 ms 24276 KB Output is correct
68 Correct 15 ms 24276 KB Output is correct
69 Correct 75 ms 39352 KB Output is correct
70 Correct 14 ms 24428 KB Output is correct
71 Correct 101 ms 39568 KB Output is correct
72 Correct 154 ms 40468 KB Output is correct
73 Correct 14 ms 23764 KB Output is correct
74 Correct 159 ms 44028 KB Output is correct
75 Correct 171 ms 41224 KB Output is correct
76 Correct 15 ms 24276 KB Output is correct
77 Correct 18 ms 24276 KB Output is correct
78 Correct 96 ms 39396 KB Output is correct
79 Correct 85 ms 41792 KB Output is correct
80 Correct 16 ms 24280 KB Output is correct
81 Correct 16 ms 24276 KB Output is correct
82 Correct 13 ms 23764 KB Output is correct
83 Correct 14 ms 23780 KB Output is correct
84 Correct 15 ms 24248 KB Output is correct
85 Correct 143 ms 40268 KB Output is correct
86 Correct 14 ms 24236 KB Output is correct
87 Correct 123 ms 39484 KB Output is correct
88 Correct 13 ms 23840 KB Output is correct
89 Correct 103 ms 39424 KB Output is correct
90 Correct 97 ms 40132 KB Output is correct
91 Correct 91 ms 41504 KB Output is correct
92 Correct 77 ms 39344 KB Output is correct
93 Correct 17 ms 24276 KB Output is correct
94 Correct 15 ms 23764 KB Output is correct
95 Correct 93 ms 41528 KB Output is correct
96 Correct 106 ms 43776 KB Output is correct
97 Correct 15 ms 24276 KB Output is correct
98 Correct 15 ms 23888 KB Output is correct
99 Correct 90 ms 40540 KB Output is correct
100 Correct 15 ms 24296 KB Output is correct
101 Correct 109 ms 39824 KB Output is correct
102 Correct 122 ms 42988 KB Output is correct
103 Correct 14 ms 24384 KB Output is correct
104 Correct 15 ms 24404 KB Output is correct
105 Correct 15 ms 24364 KB Output is correct
106 Correct 15 ms 24276 KB Output is correct
107 Correct 16 ms 24372 KB Output is correct
108 Correct 557 ms 113800 KB Output is correct
109 Correct 1189 ms 120272 KB Output is correct
110 Correct 1259 ms 126004 KB Output is correct
111 Correct 873 ms 135944 KB Output is correct
112 Correct 944 ms 130180 KB Output is correct
113 Correct 607 ms 122308 KB Output is correct
114 Correct 617 ms 107792 KB Output is correct
115 Correct 628 ms 108580 KB Output is correct
116 Correct 841 ms 113492 KB Output is correct
117 Correct 650 ms 122256 KB Output is correct
118 Correct 673 ms 109432 KB Output is correct
119 Correct 691 ms 122260 KB Output is correct
120 Correct 789 ms 130432 KB Output is correct
121 Correct 662 ms 122300 KB Output is correct
122 Correct 778 ms 116724 KB Output is correct
123 Correct 543 ms 123908 KB Output is correct
124 Correct 792 ms 120036 KB Output is correct