oj.uz

Submission #824219

# Submission time Handle Problem Language Result Execution time Memory
824219 2023-08-13T19:07:42 Z vjudge1 Mergers (JOI19_mergers) C++17
100 / 100
 900 ms 233108 KB 
#include <bits/stdc++.h>
using namespace std;
// 123

static const int N = 1e6 + 10;
class lca_t {
       public:
        int rmq[20][N];
        int pos[N], d[N];
        vector<int> adj[N];
        int timer;
        int n;

        lca_t(int n = 0) : n(n) {}

        void add_edge(int u, int v) {
                adj[u].emplace_back(v);
                adj[v].emplace_back(u);
        }

        void dfs(int u, int p) {
                rmq[0][timer++] = u;
                for (int v : adj[u]) {
                        if (v == p) continue;
                        d[v] = d[u] + 1;
                        dfs(v, u);
                        rmq[0][timer++] = u;
                }
        }

        void build(int root) {
                timer = 0;
                d[root] = 0;
                dfs(root, -1);
                for (int i = 0; i < timer; i++) pos[rmq[0][i]] = i;
                assert(__lg(timer) < 20);
                for (int i = 1; i <= __lg(timer); i++) {
                        for (int j = 0; j + (1 << i) <= timer; j++) {
                                rmq[i][j] = d[rmq[i - 1][j]] < d[rmq[i - 1][j + (1 << (i - 1))]]
                                                ? rmq[i - 1][j]
                                                : rmq[i - 1][j + (1 << (i - 1))];
                        }
                }
        }

        int get(int u, int v) {
                int l = pos[u], r = pos[v];
                if (l > r) swap(l, r);
                int i = __lg(r - l + 1);
                r -= (1 << i) - 1;
                return d[rmq[i][l]] < d[rmq[i][r]] ? rmq[i][l] : rmq[i][r];
        }

} lca;

class DSU {
       public:
        DSU(int n) {
                prt.resize(n + 1, -1);
        }

        int SZ(int u) {
                return -prt[root(u)];
        }

        int root(int u) {
                return (prt[u] < 0 ? u : (prt[u] = root(prt[u])));
        }

        bool connected(int u, int v) {
                return ((u = root(u)) == (v = root(v)));
        }

        bool unite(int u, int v) {
                if ((u = root(u)) == (v = root(v))) {
                        return 0;
                }

                if (prt[u] > prt[v]) {
                        u ^= v ^= u ^= v;
                }

                prt[u] += prt[v];
                prt[v] = u;
                return 1;
        }

       private:
        vector<int> prt;
};

int32_t main() {
        ios_base::sync_with_stdio(0);
        cin.tie(0);
        int n, k;
        cin >> n >> k;
        vector<vector<int>> adj(n);
        for (int i = 0; i < n - 1; i++) {
                int u, v;
                cin >> u >> v;
                u--, v--;
                adj[u].emplace_back(v);
                adj[v].emplace_back(u);
                lca.add_edge(u, v);
        }
        vector<vector<int>> group(k);
        vector<int> a(n);
        for (int i = 0; i < n; i++) cin >> a[i], a[i]--;
        for (int i = 0; i < n; i++) group[a[i]].emplace_back(i);
        lca.build(0);
        vector<int> pf(n, 0);
        for (int i = 0; i < k; i++) {
                int top = group[i][0];
                for (int j : group[i]) top = lca.get(top, j);
                pf[top] -= group[i].size();
                for (int j : group[i]) pf[j]++;
        }
        DSU dsu(n);
        function<void(int, int)> dfs = [&](int u, int p) {
                for (int v : adj[u]) {
                        if (v == p) continue;
                        dfs(v, u);
                        pf[u] += pf[v];
                        if (pf[v]) {
                                dsu.unite(u, v);
                        }
                }
        };
        dfs(0, -1);
        vector<int> deg(n);
        for (int i = 0; i < n; i++) {
                for (int j : adj[i]) {
                        if (i > j) continue;
                        int x = dsu.root(i), y = dsu.root(j);
                        if (x == y) continue;
                        deg[x]++, deg[y]++;
                }
        }
        int res = 0;
        for (int i = 0; i < n; i++) res += deg[i] == 1;
        cout << (res + 1 >> 1);
}

Compilation message

mergers.cpp: In function 'int32_t main()':
mergers.cpp:141:22: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  141 |         cout << (res + 1 >> 1);
      |                  ~~~~^~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23852 KB Output is correct
2 Correct 11 ms 23892 KB Output is correct
3 Correct 11 ms 23816 KB Output is correct
4 Correct 12 ms 23816 KB Output is correct
5 Correct 11 ms 23816 KB Output is correct
6 Correct 11 ms 23816 KB Output is correct
7 Correct 11 ms 23832 KB Output is correct
8 Correct 12 ms 23816 KB Output is correct
9 Correct 11 ms 23816 KB Output is correct
10 Correct 11 ms 23824 KB Output is correct
11 Correct 11 ms 23892 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 11 ms 23816 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 13 ms 23816 KB Output is correct
18 Correct 13 ms 23896 KB Output is correct
19 Correct 12 ms 23812 KB Output is correct
20 Correct 11 ms 23764 KB Output is correct
21 Correct 11 ms 23892 KB Output is correct
22 Correct 11 ms 23892 KB Output is correct
23 Correct 11 ms 23816 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 11 ms 23852 KB Output is correct
2 Correct 11 ms 23892 KB Output is correct
3 Correct 11 ms 23816 KB Output is correct
4 Correct 12 ms 23816 KB Output is correct
5 Correct 11 ms 23816 KB Output is correct
6 Correct 11 ms 23816 KB Output is correct
7 Correct 11 ms 23832 KB Output is correct
8 Correct 12 ms 23816 KB Output is correct
9 Correct 11 ms 23816 KB Output is correct
10 Correct 11 ms 23824 KB Output is correct
11 Correct 11 ms 23892 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 11 ms 23816 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 13 ms 23816 KB Output is correct
18 Correct 13 ms 23896 KB Output is correct
19 Correct 12 ms 23812 KB Output is correct
20 Correct 11 ms 23764 KB Output is correct
21 Correct 11 ms 23892 KB Output is correct
22 Correct 11 ms 23892 KB Output is correct
23 Correct 11 ms 23816 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct
25 Correct 13 ms 23816 KB Output is correct
26 Correct 16 ms 24672 KB Output is correct
27 Correct 13 ms 24592 KB Output is correct
28 Correct 13 ms 24980 KB Output is correct
29 Correct 13 ms 24660 KB Output is correct
30 Correct 14 ms 24596 KB Output is correct
31 Correct 11 ms 23764 KB Output is correct
32 Correct 14 ms 25096 KB Output is correct
33 Correct 11 ms 23780 KB Output is correct
34 Correct 14 ms 24532 KB Output is correct
35 Correct 15 ms 24728 KB Output is correct
36 Correct 13 ms 24492 KB Output is correct
37 Correct 13 ms 24536 KB Output is correct
38 Correct 11 ms 23892 KB Output is correct
39 Correct 13 ms 24656 KB Output is correct
40 Correct 16 ms 24548 KB Output is correct
41 Correct 13 ms 24596 KB Output is correct
42 Correct 13 ms 24660 KB Output is correct
43 Correct 14 ms 24976 KB Output is correct
44 Correct 11 ms 23820 KB Output is correct
45 Correct 14 ms 24752 KB Output is correct
46 Correct 13 ms 24660 KB Output is correct
47 Correct 11 ms 23808 KB Output is correct
48 Correct 13 ms 24508 KB Output is correct
49 Correct 13 ms 24724 KB Output is correct
50 Correct 15 ms 24852 KB Output is correct
51 Correct 14 ms 24544 KB Output is correct
52 Correct 15 ms 24532 KB Output is correct
53 Correct 15 ms 24600 KB Output is correct
54 Correct 12 ms 24532 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23852 KB Output is correct
2 Correct 11 ms 23892 KB Output is correct
3 Correct 11 ms 23816 KB Output is correct
4 Correct 12 ms 23816 KB Output is correct
5 Correct 11 ms 23816 KB Output is correct
6 Correct 11 ms 23816 KB Output is correct
7 Correct 11 ms 23832 KB Output is correct
8 Correct 12 ms 23816 KB Output is correct
9 Correct 11 ms 23816 KB Output is correct
10 Correct 11 ms 23824 KB Output is correct
11 Correct 11 ms 23892 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 11 ms 23816 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 13 ms 23816 KB Output is correct
18 Correct 13 ms 23896 KB Output is correct
19 Correct 12 ms 23812 KB Output is correct
20 Correct 11 ms 23764 KB Output is correct
21 Correct 11 ms 23892 KB Output is correct
22 Correct 11 ms 23892 KB Output is correct
23 Correct 11 ms 23816 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct
25 Correct 11 ms 23892 KB Output is correct
26 Correct 64 ms 50312 KB Output is correct
27 Correct 81 ms 49768 KB Output is correct
28 Correct 13 ms 24532 KB Output is correct
29 Correct 12 ms 23820 KB Output is correct
30 Correct 12 ms 23892 KB Output is correct
31 Correct 86 ms 49668 KB Output is correct
32 Correct 12 ms 24592 KB Output is correct
33 Correct 105 ms 65484 KB Output is correct
34 Correct 97 ms 49808 KB Output is correct
35 Correct 13 ms 24532 KB Output is correct
36 Correct 82 ms 51344 KB Output is correct
37 Correct 13 ms 24464 KB Output is correct
38 Correct 13 ms 24592 KB Output is correct
39 Correct 64 ms 50332 KB Output is correct
40 Correct 13 ms 25128 KB Output is correct
41 Correct 78 ms 49672 KB Output is correct
42 Correct 103 ms 54864 KB Output is correct
43 Correct 11 ms 23892 KB Output is correct
44 Correct 122 ms 66088 KB Output is correct
45 Correct 86 ms 57912 KB Output is correct
46 Correct 12 ms 24532 KB Output is correct
47 Correct 16 ms 24592 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 49368 KB Output is correct
2 Correct 82 ms 54240 KB Output is correct
3 Correct 12 ms 24532 KB Output is correct
4 Correct 12 ms 24504 KB Output is correct
5 Correct 14 ms 23816 KB Output is correct
6 Correct 10 ms 23812 KB Output is correct
7 Correct 11 ms 24592 KB Output is correct
8 Correct 106 ms 51980 KB Output is correct
9 Correct 12 ms 24608 KB Output is correct
10 Correct 121 ms 49720 KB Output is correct
11 Correct 11 ms 23908 KB Output is correct
12 Correct 101 ms 49692 KB Output is correct
13 Correct 95 ms 51868 KB Output is correct
14 Correct 138 ms 54668 KB Output is correct
15 Correct 64 ms 50332 KB Output is correct
16 Correct 12 ms 24660 KB Output is correct
17 Correct 11 ms 23812 KB Output is correct
18 Correct 79 ms 54720 KB Output is correct
19 Correct 106 ms 63312 KB Output is correct
20 Correct 13 ms 24596 KB Output is correct
21 Correct 11 ms 23892 KB Output is correct
22 Correct 98 ms 52460 KB Output is correct
23 Correct 14 ms 24544 KB Output is correct
24 Correct 114 ms 50280 KB Output is correct
25 Correct 104 ms 60328 KB Output is correct
26 Correct 13 ms 24772 KB Output is correct
27 Correct 14 ms 24788 KB Output is correct
28 Correct 14 ms 24484 KB Output is correct
29 Correct 12 ms 24524 KB Output is correct
30 Correct 12 ms 24660 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 23852 KB Output is correct
2 Correct 11 ms 23892 KB Output is correct
3 Correct 11 ms 23816 KB Output is correct
4 Correct 12 ms 23816 KB Output is correct
5 Correct 11 ms 23816 KB Output is correct
6 Correct 11 ms 23816 KB Output is correct
7 Correct 11 ms 23832 KB Output is correct
8 Correct 12 ms 23816 KB Output is correct
9 Correct 11 ms 23816 KB Output is correct
10 Correct 11 ms 23824 KB Output is correct
11 Correct 11 ms 23892 KB Output is correct
12 Correct 12 ms 23784 KB Output is correct
13 Correct 11 ms 23764 KB Output is correct
14 Correct 11 ms 23816 KB Output is correct
15 Correct 12 ms 23816 KB Output is correct
16 Correct 11 ms 23764 KB Output is correct
17 Correct 13 ms 23816 KB Output is correct
18 Correct 13 ms 23896 KB Output is correct
19 Correct 12 ms 23812 KB Output is correct
20 Correct 11 ms 23764 KB Output is correct
21 Correct 11 ms 23892 KB Output is correct
22 Correct 11 ms 23892 KB Output is correct
23 Correct 11 ms 23816 KB Output is correct
24 Correct 12 ms 23812 KB Output is correct
25 Correct 13 ms 23816 KB Output is correct
26 Correct 16 ms 24672 KB Output is correct
27 Correct 13 ms 24592 KB Output is correct
28 Correct 13 ms 24980 KB Output is correct
29 Correct 13 ms 24660 KB Output is correct
30 Correct 14 ms 24596 KB Output is correct
31 Correct 11 ms 23764 KB Output is correct
32 Correct 14 ms 25096 KB Output is correct
33 Correct 11 ms 23780 KB Output is correct
34 Correct 14 ms 24532 KB Output is correct
35 Correct 15 ms 24728 KB Output is correct
36 Correct 13 ms 24492 KB Output is correct
37 Correct 13 ms 24536 KB Output is correct
38 Correct 11 ms 23892 KB Output is correct
39 Correct 13 ms 24656 KB Output is correct
40 Correct 16 ms 24548 KB Output is correct
41 Correct 13 ms 24596 KB Output is correct
42 Correct 13 ms 24660 KB Output is correct
43 Correct 14 ms 24976 KB Output is correct
44 Correct 11 ms 23820 KB Output is correct
45 Correct 14 ms 24752 KB Output is correct
46 Correct 13 ms 24660 KB Output is correct
47 Correct 11 ms 23808 KB Output is correct
48 Correct 13 ms 24508 KB Output is correct
49 Correct 13 ms 24724 KB Output is correct
50 Correct 15 ms 24852 KB Output is correct
51 Correct 14 ms 24544 KB Output is correct
52 Correct 15 ms 24532 KB Output is correct
53 Correct 15 ms 24600 KB Output is correct
54 Correct 12 ms 24532 KB Output is correct
55 Correct 11 ms 23892 KB Output is correct
56 Correct 64 ms 50312 KB Output is correct
57 Correct 81 ms 49768 KB Output is correct
58 Correct 13 ms 24532 KB Output is correct
59 Correct 12 ms 23820 KB Output is correct
60 Correct 12 ms 23892 KB Output is correct
61 Correct 86 ms 49668 KB Output is correct
62 Correct 12 ms 24592 KB Output is correct
63 Correct 105 ms 65484 KB Output is correct
64 Correct 97 ms 49808 KB Output is correct
65 Correct 13 ms 24532 KB Output is correct
66 Correct 82 ms 51344 KB Output is correct
67 Correct 13 ms 24464 KB Output is correct
68 Correct 13 ms 24592 KB Output is correct
69 Correct 64 ms 50332 KB Output is correct
70 Correct 13 ms 25128 KB Output is correct
71 Correct 78 ms 49672 KB Output is correct
72 Correct 103 ms 54864 KB Output is correct
73 Correct 11 ms 23892 KB Output is correct
74 Correct 122 ms 66088 KB Output is correct
75 Correct 86 ms 57912 KB Output is correct
76 Correct 12 ms 24532 KB Output is correct
77 Correct 16 ms 24592 KB Output is correct
78 Correct 67 ms 49368 KB Output is correct
79 Correct 82 ms 54240 KB Output is correct
80 Correct 12 ms 24532 KB Output is correct
81 Correct 12 ms 24504 KB Output is correct
82 Correct 14 ms 23816 KB Output is correct
83 Correct 10 ms 23812 KB Output is correct
84 Correct 11 ms 24592 KB Output is correct
85 Correct 106 ms 51980 KB Output is correct
86 Correct 12 ms 24608 KB Output is correct
87 Correct 121 ms 49720 KB Output is correct
88 Correct 11 ms 23908 KB Output is correct
89 Correct 101 ms 49692 KB Output is correct
90 Correct 95 ms 51868 KB Output is correct
91 Correct 138 ms 54668 KB Output is correct
92 Correct 64 ms 50332 KB Output is correct
93 Correct 12 ms 24660 KB Output is correct
94 Correct 11 ms 23812 KB Output is correct
95 Correct 79 ms 54720 KB Output is correct
96 Correct 106 ms 63312 KB Output is correct
97 Correct 13 ms 24596 KB Output is correct
98 Correct 11 ms 23892 KB Output is correct
99 Correct 98 ms 52460 KB Output is correct
100 Correct 14 ms 24544 KB Output is correct
101 Correct 114 ms 50280 KB Output is correct
102 Correct 104 ms 60328 KB Output is correct
103 Correct 13 ms 24772 KB Output is correct
104 Correct 14 ms 24788 KB Output is correct
105 Correct 14 ms 24484 KB Output is correct
106 Correct 12 ms 24524 KB Output is correct
107 Correct 12 ms 24660 KB Output is correct
108 Correct 536 ms 168968 KB Output is correct
109 Correct 815 ms 196704 KB Output is correct
110 Correct 879 ms 221364 KB Output is correct
111 Correct 900 ms 233108 KB Output is correct
112 Correct 842 ms 211592 KB Output is correct
113 Correct 552 ms 182388 KB Output is correct
114 Correct 639 ms 157064 KB Output is correct
115 Correct 686 ms 157176 KB Output is correct
116 Correct 759 ms 162160 KB Output is correct
117 Correct 745 ms 182328 KB Output is correct
118 Correct 695 ms 155528 KB Output is correct
119 Correct 736 ms 182272 KB Output is correct
120 Correct 831 ms 213088 KB Output is correct
121 Correct 809 ms 182328 KB Output is correct
122 Correct 825 ms 171440 KB Output is correct
123 Correct 550 ms 185196 KB Output is correct
124 Correct 878 ms 179000 KB Output is correct