답안 #970219

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
970219	2024-04-26T08:26:09 Z	_callmelucian	Mergers (JOI19_mergers)	C++14	100 / 100	892 ms	149712 KB

mergers

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

const int mn = 5e5 + 5;

int up[mn][19], depth[mn], curLCA[mn], deg[mn];
vector<int> state[mn], adj[mn];
bool mark[mn], vis[mn];
vector<pii> edge;

void preDfs (int u, int p, int d) {
    up[u][0] = p, depth[u] = d;
    for (int i = 1; i < 19; i++)
        up[u][i] = up[up[u][i - 1]][i - 1];
    for (int v : adj[u])
        if (v != p) preDfs(v, u, d + 1);
}

int goUp (int a, int k) {
    for (int i = 0; i < 19; i++)
        if (k & (1 << i)) a = up[a][i];
    return a;
}

int lca (int a, int b) {
    if (depth[b] > depth[a]) swap(a, b);
    a = goUp(a, depth[a] - depth[b]);
    if (a == b) return a;
    for (int i = 18; i >= 0; i--)
        if (up[a][i] != up[b][i])
            a = up[a][i], b = up[b][i];
    return up[a][0];
}

struct DSU {
    vector<int> lab;
    DSU (int sz) : lab(sz + 1, -1) {}

    int get (int u) {
        if (lab[u] < 0) return u;
        return lab[u] = get(lab[u]);
    }

    void unite (int a, int b) {
        a = get(a), b = get(b);
        if (a == b) return;
        if (-lab[a] < -lab[b]) swap(a, b);
        lab[a] += lab[b], lab[b] = a;
    }
} dsu(mn);

void dfs (int u, int p) {
    for (int v : adj[u]) {
        if (v == p) continue;
        dfs(v, u);
        curLCA[u] = lca(curLCA[u], curLCA[v]);
    }
    if (curLCA[u] == u && u != p) {
        // for edge that separates the tree into groups
        // create an edge in the new graph
        edge.push_back({u, p});
    }
    else if (u != p) {
        // compress nodes for other edges
        dsu.unite(u, p);
    }
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    int n, k; cin >> n >> k;
    for (int i = 1; i < n; i++) {
        int a, b; cin >> a >> b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    preDfs(1, 1, 1);

    for (int i = 1; i <= n; i++) {
        int j; cin >> j;
        state[j].push_back(i);
    }
    for (int i = 1; i <= k; i++) {
        int cur = 0;
        for (int u : state[i]) {
            if (!cur) cur = u;
            else cur = lca(cur, u);
        }
        for (int u : state[i]) curLCA[u] = cur;
    }
    dfs(1, 1);

    for (pii it : edge) {
        int a, b; tie(a, b) = it;
        a = dsu.get(a), b = dsu.get(b);
        deg[a]++, deg[b]++;
    }

    int ans = 0;
    for (int i = 1; i <= n; i++) {
        int cur = dsu.get(i);
        if (vis[cur]) continue;
        vis[cur] = 1, ans += (deg[cur] == 1 ? 1 : 0);
        // i hate greedy: every pair of leaves (in the new graph)
        // can be merged to satisfy the constraints
    }
    cout << (ans + 1) / 2;

    return 0;
}

Subtask #1
10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	13 ms	33112 KB	Output is correct
2	Correct	10 ms	33116 KB	Output is correct
3	Correct	9 ms	33116 KB	Output is correct
4	Correct	8 ms	33116 KB	Output is correct
5	Correct	7 ms	33116 KB	Output is correct
6	Correct	8 ms	33116 KB	Output is correct
7	Correct	7 ms	33116 KB	Output is correct
8	Correct	8 ms	33116 KB	Output is correct
9	Correct	8 ms	33116 KB	Output is correct
10	Correct	7 ms	33116 KB	Output is correct
11	Correct	8 ms	33116 KB	Output is correct
12	Correct	7 ms	33116 KB	Output is correct
13	Correct	7 ms	33112 KB	Output is correct
14	Correct	7 ms	33204 KB	Output is correct
15	Correct	8 ms	33112 KB	Output is correct
16	Correct	7 ms	33116 KB	Output is correct
17	Correct	8 ms	33116 KB	Output is correct
18	Correct	8 ms	33116 KB	Output is correct
19	Correct	8 ms	33116 KB	Output is correct
20	Correct	7 ms	33116 KB	Output is correct
21	Correct	7 ms	33116 KB	Output is correct
22	Correct	7 ms	33116 KB	Output is correct
23	Correct	7 ms	33116 KB	Output is correct
24	Correct	7 ms	33112 KB	Output is correct

Subtask #2
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	13 ms	33112 KB	Output is correct
2	Correct	10 ms	33116 KB	Output is correct
3	Correct	9 ms	33116 KB	Output is correct
4	Correct	8 ms	33116 KB	Output is correct
5	Correct	7 ms	33116 KB	Output is correct
6	Correct	8 ms	33116 KB	Output is correct
7	Correct	7 ms	33116 KB	Output is correct
8	Correct	8 ms	33116 KB	Output is correct
9	Correct	8 ms	33116 KB	Output is correct
10	Correct	7 ms	33116 KB	Output is correct
11	Correct	8 ms	33116 KB	Output is correct
12	Correct	7 ms	33116 KB	Output is correct
13	Correct	7 ms	33112 KB	Output is correct
14	Correct	7 ms	33204 KB	Output is correct
15	Correct	8 ms	33112 KB	Output is correct
16	Correct	7 ms	33116 KB	Output is correct
17	Correct	8 ms	33116 KB	Output is correct
18	Correct	8 ms	33116 KB	Output is correct
19	Correct	8 ms	33116 KB	Output is correct
20	Correct	7 ms	33116 KB	Output is correct
21	Correct	7 ms	33116 KB	Output is correct
22	Correct	7 ms	33116 KB	Output is correct
23	Correct	7 ms	33116 KB	Output is correct
24	Correct	7 ms	33112 KB	Output is correct
25	Correct	7 ms	33116 KB	Output is correct
26	Correct	9 ms	33372 KB	Output is correct
27	Correct	8 ms	33232 KB	Output is correct
28	Correct	9 ms	33372 KB	Output is correct
29	Correct	10 ms	33372 KB	Output is correct
30	Correct	10 ms	33116 KB	Output is correct
31	Correct	7 ms	33112 KB	Output is correct
32	Correct	9 ms	33556 KB	Output is correct
33	Correct	7 ms	33116 KB	Output is correct
34	Correct	8 ms	33116 KB	Output is correct
35	Correct	9 ms	33372 KB	Output is correct
36	Correct	9 ms	33116 KB	Output is correct
37	Correct	9 ms	33252 KB	Output is correct
38	Correct	7 ms	33112 KB	Output is correct
39	Correct	9 ms	33116 KB	Output is correct
40	Correct	9 ms	33300 KB	Output is correct
41	Correct	9 ms	33116 KB	Output is correct
42	Correct	9 ms	33208 KB	Output is correct
43	Correct	9 ms	33628 KB	Output is correct
44	Correct	7 ms	33116 KB	Output is correct
45	Correct	9 ms	33372 KB	Output is correct
46	Correct	10 ms	33372 KB	Output is correct
47	Correct	7 ms	33116 KB	Output is correct
48	Correct	10 ms	33116 KB	Output is correct
49	Correct	8 ms	33372 KB	Output is correct
50	Correct	9 ms	33372 KB	Output is correct
51	Correct	9 ms	33220 KB	Output is correct
52	Correct	8 ms	33116 KB	Output is correct
53	Correct	8 ms	33372 KB	Output is correct
54	Correct	9 ms	33116 KB	Output is correct

Subtask #3
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	13 ms	33112 KB	Output is correct
2	Correct	10 ms	33116 KB	Output is correct
3	Correct	9 ms	33116 KB	Output is correct
4	Correct	8 ms	33116 KB	Output is correct
5	Correct	7 ms	33116 KB	Output is correct
6	Correct	8 ms	33116 KB	Output is correct
7	Correct	7 ms	33116 KB	Output is correct
8	Correct	8 ms	33116 KB	Output is correct
9	Correct	8 ms	33116 KB	Output is correct
10	Correct	7 ms	33116 KB	Output is correct
11	Correct	8 ms	33116 KB	Output is correct
12	Correct	7 ms	33116 KB	Output is correct
13	Correct	7 ms	33112 KB	Output is correct
14	Correct	7 ms	33204 KB	Output is correct
15	Correct	8 ms	33112 KB	Output is correct
16	Correct	7 ms	33116 KB	Output is correct
17	Correct	8 ms	33116 KB	Output is correct
18	Correct	8 ms	33116 KB	Output is correct
19	Correct	8 ms	33116 KB	Output is correct
20	Correct	7 ms	33116 KB	Output is correct
21	Correct	7 ms	33116 KB	Output is correct
22	Correct	7 ms	33116 KB	Output is correct
23	Correct	7 ms	33116 KB	Output is correct
24	Correct	7 ms	33112 KB	Output is correct
25	Correct	7 ms	33112 KB	Output is correct
26	Correct	56 ms	45440 KB	Output is correct
27	Correct	88 ms	45168 KB	Output is correct
28	Correct	9 ms	33116 KB	Output is correct
29	Correct	9 ms	33116 KB	Output is correct
30	Correct	7 ms	33116 KB	Output is correct
31	Correct	85 ms	45144 KB	Output is correct
32	Correct	8 ms	33300 KB	Output is correct
33	Correct	102 ms	55128 KB	Output is correct
34	Correct	75 ms	45392 KB	Output is correct
35	Correct	8 ms	33116 KB	Output is correct
36	Correct	79 ms	46248 KB	Output is correct
37	Correct	8 ms	33112 KB	Output is correct
38	Correct	9 ms	33116 KB	Output is correct
39	Correct	53 ms	45344 KB	Output is correct
40	Correct	10 ms	33628 KB	Output is correct
41	Correct	81 ms	45264 KB	Output is correct
42	Correct	100 ms	48280 KB	Output is correct
43	Correct	7 ms	33116 KB	Output is correct
44	Correct	92 ms	55644 KB	Output is correct
45	Correct	91 ms	50396 KB	Output is correct
46	Correct	8 ms	33116 KB	Output is correct
47	Correct	9 ms	33116 KB	Output is correct

Subtask #4
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	54 ms	45404 KB	Output is correct
2	Correct	66 ms	49164 KB	Output is correct
3	Correct	8 ms	33368 KB	Output is correct
4	Correct	9 ms	33116 KB	Output is correct
5	Correct	8 ms	32972 KB	Output is correct
6	Correct	8 ms	33112 KB	Output is correct
7	Correct	9 ms	33116 KB	Output is correct
8	Correct	88 ms	46316 KB	Output is correct
9	Correct	8 ms	33116 KB	Output is correct
10	Correct	77 ms	45116 KB	Output is correct
11	Correct	7 ms	33116 KB	Output is correct
12	Correct	78 ms	45140 KB	Output is correct
13	Correct	109 ms	46720 KB	Output is correct
14	Correct	82 ms	48708 KB	Output is correct
15	Correct	52 ms	45384 KB	Output is correct
16	Correct	9 ms	33372 KB	Output is correct
17	Correct	7 ms	33116 KB	Output is correct
18	Correct	72 ms	49020 KB	Output is correct
19	Correct	105 ms	54316 KB	Output is correct
20	Correct	9 ms	33368 KB	Output is correct
21	Correct	7 ms	33116 KB	Output is correct
22	Correct	59 ms	46928 KB	Output is correct
23	Correct	8 ms	33116 KB	Output is correct
24	Correct	75 ms	45648 KB	Output is correct
25	Correct	96 ms	52428 KB	Output is correct
26	Correct	8 ms	33368 KB	Output is correct
27	Correct	8 ms	33496 KB	Output is correct
28	Correct	9 ms	33116 KB	Output is correct
29	Correct	8 ms	33240 KB	Output is correct
30	Correct	10 ms	33372 KB	Output is correct

Subtask #5
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	13 ms	33112 KB	Output is correct
2	Correct	10 ms	33116 KB	Output is correct
3	Correct	9 ms	33116 KB	Output is correct
4	Correct	8 ms	33116 KB	Output is correct
5	Correct	7 ms	33116 KB	Output is correct
6	Correct	8 ms	33116 KB	Output is correct
7	Correct	7 ms	33116 KB	Output is correct
8	Correct	8 ms	33116 KB	Output is correct
9	Correct	8 ms	33116 KB	Output is correct
10	Correct	7 ms	33116 KB	Output is correct
11	Correct	8 ms	33116 KB	Output is correct
12	Correct	7 ms	33116 KB	Output is correct
13	Correct	7 ms	33112 KB	Output is correct
14	Correct	7 ms	33204 KB	Output is correct
15	Correct	8 ms	33112 KB	Output is correct
16	Correct	7 ms	33116 KB	Output is correct
17	Correct	8 ms	33116 KB	Output is correct
18	Correct	8 ms	33116 KB	Output is correct
19	Correct	8 ms	33116 KB	Output is correct
20	Correct	7 ms	33116 KB	Output is correct
21	Correct	7 ms	33116 KB	Output is correct
22	Correct	7 ms	33116 KB	Output is correct
23	Correct	7 ms	33116 KB	Output is correct
24	Correct	7 ms	33112 KB	Output is correct
25	Correct	7 ms	33116 KB	Output is correct
26	Correct	9 ms	33372 KB	Output is correct
27	Correct	8 ms	33232 KB	Output is correct
28	Correct	9 ms	33372 KB	Output is correct
29	Correct	10 ms	33372 KB	Output is correct
30	Correct	10 ms	33116 KB	Output is correct
31	Correct	7 ms	33112 KB	Output is correct
32	Correct	9 ms	33556 KB	Output is correct
33	Correct	7 ms	33116 KB	Output is correct
34	Correct	8 ms	33116 KB	Output is correct
35	Correct	9 ms	33372 KB	Output is correct
36	Correct	9 ms	33116 KB	Output is correct
37	Correct	9 ms	33252 KB	Output is correct
38	Correct	7 ms	33112 KB	Output is correct
39	Correct	9 ms	33116 KB	Output is correct
40	Correct	9 ms	33300 KB	Output is correct
41	Correct	9 ms	33116 KB	Output is correct
42	Correct	9 ms	33208 KB	Output is correct
43	Correct	9 ms	33628 KB	Output is correct
44	Correct	7 ms	33116 KB	Output is correct
45	Correct	9 ms	33372 KB	Output is correct
46	Correct	10 ms	33372 KB	Output is correct
47	Correct	7 ms	33116 KB	Output is correct
48	Correct	10 ms	33116 KB	Output is correct
49	Correct	8 ms	33372 KB	Output is correct
50	Correct	9 ms	33372 KB	Output is correct
51	Correct	9 ms	33220 KB	Output is correct
52	Correct	8 ms	33116 KB	Output is correct
53	Correct	8 ms	33372 KB	Output is correct
54	Correct	9 ms	33116 KB	Output is correct
55	Correct	7 ms	33112 KB	Output is correct
56	Correct	56 ms	45440 KB	Output is correct
57	Correct	88 ms	45168 KB	Output is correct
58	Correct	9 ms	33116 KB	Output is correct
59	Correct	9 ms	33116 KB	Output is correct
60	Correct	7 ms	33116 KB	Output is correct
61	Correct	85 ms	45144 KB	Output is correct
62	Correct	8 ms	33300 KB	Output is correct
63	Correct	102 ms	55128 KB	Output is correct
64	Correct	75 ms	45392 KB	Output is correct
65	Correct	8 ms	33116 KB	Output is correct
66	Correct	79 ms	46248 KB	Output is correct
67	Correct	8 ms	33112 KB	Output is correct
68	Correct	9 ms	33116 KB	Output is correct
69	Correct	53 ms	45344 KB	Output is correct
70	Correct	10 ms	33628 KB	Output is correct
71	Correct	81 ms	45264 KB	Output is correct
72	Correct	100 ms	48280 KB	Output is correct
73	Correct	7 ms	33116 KB	Output is correct
74	Correct	92 ms	55644 KB	Output is correct
75	Correct	91 ms	50396 KB	Output is correct
76	Correct	8 ms	33116 KB	Output is correct
77	Correct	9 ms	33116 KB	Output is correct
78	Correct	54 ms	45404 KB	Output is correct
79	Correct	66 ms	49164 KB	Output is correct
80	Correct	8 ms	33368 KB	Output is correct
81	Correct	9 ms	33116 KB	Output is correct
82	Correct	8 ms	32972 KB	Output is correct
83	Correct	8 ms	33112 KB	Output is correct
84	Correct	9 ms	33116 KB	Output is correct
85	Correct	88 ms	46316 KB	Output is correct
86	Correct	8 ms	33116 KB	Output is correct
87	Correct	77 ms	45116 KB	Output is correct
88	Correct	7 ms	33116 KB	Output is correct
89	Correct	78 ms	45140 KB	Output is correct
90	Correct	109 ms	46720 KB	Output is correct
91	Correct	82 ms	48708 KB	Output is correct
92	Correct	52 ms	45384 KB	Output is correct
93	Correct	9 ms	33372 KB	Output is correct
94	Correct	7 ms	33116 KB	Output is correct
95	Correct	72 ms	49020 KB	Output is correct
96	Correct	105 ms	54316 KB	Output is correct
97	Correct	9 ms	33368 KB	Output is correct
98	Correct	7 ms	33116 KB	Output is correct
99	Correct	59 ms	46928 KB	Output is correct
100	Correct	8 ms	33116 KB	Output is correct
101	Correct	75 ms	45648 KB	Output is correct
102	Correct	96 ms	52428 KB	Output is correct
103	Correct	8 ms	33368 KB	Output is correct
104	Correct	8 ms	33496 KB	Output is correct
105	Correct	9 ms	33116 KB	Output is correct
106	Correct	8 ms	33240 KB	Output is correct
107	Correct	10 ms	33372 KB	Output is correct
108	Correct	466 ms	97820 KB	Output is correct
109	Correct	819 ms	120980 KB	Output is correct
110	Correct	830 ms	136640 KB	Output is correct
111	Correct	891 ms	149712 KB	Output is correct
112	Correct	835 ms	135744 KB	Output is correct
113	Correct	500 ms	116092 KB	Output is correct
114	Correct	555 ms	95476 KB	Output is correct
115	Correct	608 ms	95684 KB	Output is correct
116	Correct	764 ms	100288 KB	Output is correct
117	Correct	707 ms	117172 KB	Output is correct
118	Correct	643 ms	96592 KB	Output is correct
119	Correct	681 ms	117204 KB	Output is correct
120	Correct	808 ms	136364 KB	Output is correct
121	Correct	679 ms	115908 KB	Output is correct
122	Correct	798 ms	106280 KB	Output is correct
123	Correct	512 ms	117612 KB	Output is correct
124	Correct	892 ms	115588 KB	Output is correct

답안 #970219

Compilation message

Subtask #1 10.0 / 10.0

Subtask #2 24.0 / 24.0

Subtask #3 14.0 / 14.0

Subtask #4 22.0 / 22.0

Subtask #5 30.0 / 30.0

Subtask #1
10.0 / 10.0

Subtask #2
24.0 / 24.0

Subtask #3
14.0 / 14.0

Subtask #4
22.0 / 22.0

Subtask #5
30.0 / 30.0