Submission #978011

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
978011	2024-05-08T16:10:15 Z	happy_node	Mergers (JOI19_mergers)	C++17	100 / 100	1272 ms	170744 KB

mergers

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

const int MX=5e5+5;
int N,K;
int S[MX];
vector<int> adj[MX];

int up[MX][20];
int timer=0,tin[MX],tout[MX];

void dfs(int v, int p) {
	up[v][0]=p;
	tin[v]=++timer;
	for(int k=1;k<20;k++) {
		up[v][k]=up[up[v][k-1]][k-1];
	}
	for(auto u:adj[v]) {
		if(u==p) continue;
		dfs(u,v);
	}
	tout[v]=timer;
}

bool isAnc(int anc, int nd) {
	return tin[anc]<=tin[nd] && tout[nd]<=tout[anc];
}

int LCA(int u, int v) {
	if(isAnc(u,v)) return u;
	if(isAnc(v,u)) return v;
	for(int k=19;k>=0;k--) {
		if(up[u][k]!=0 && !isAnc(up[u][k],v)) {
			u=up[u][k];
		}
	}
	return up[u][0];
}

struct fenwick {
	int t[MX];

	void upd(int pos, int val) {
		for(int i=pos;i<=N;i+=i&-i) t[i]+=val;
	}

	int que(int pos) {
		int res=0;
		for(int i=pos;i>0;i-=i&-i) res+=t[i];
		return res;
	}

	int que(int l, int r) {
		return que(r)-que(l-1);
	}
} ft;

vector<int> pos[MX];

struct dsu {
	int par[MX];

	int find(int v) {
		return par[v]==v?v:par[v]=find(par[v]);
	}

	bool merge(int u, int v) {
		u=find(u),v=find(v);
		if(u==v) return false;
		par[u]=v;
		return true;
	}

	void prep() {
		for(int i=1;i<=N;i++) par[i]=i;
	}
} ds;

int deg[MX];

void dfs2(int v, int p) {
	for(auto u:adj[v]) {
		if(u==p) continue;
		dfs2(u,v);
	}
	int k=ft.que(tin[v],tout[v]);
	if(k>0) {
		if(p!=0) ds.merge(v,p);
	}
}

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

	cin>>N>>K;

	for(int i=0;i<N-1;i++) {
		int u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}

	for(int i=1;i<=N;i++) {
		cin>>S[i];
		pos[S[i]].push_back(i);
	}

	dfs(1,0);

	for(int c=1;c<=K;c++) {
		if(pos[c].empty()) continue;
		int cur=pos[c][0];
		for(auto p:pos[c]) {
			cur=LCA(cur,p);
		}
		for(auto p:pos[c]) {
			ft.upd(tin[p],1);
			ft.upd(tin[cur],-1);
		}
	}	

	ds.prep();
	dfs2(1,0);

	set<pair<int,int>> e;
	for(int i=1;i<=N;i++) {
		for(auto j:adj[i]) {
			if(ds.find(i)!=ds.find(j)) {
				int u=ds.find(i);
				int v=ds.find(j);
				if(u>v) swap(u,v);
				e.insert({u,v});
			}
		}
	}

	for(auto [x,y]:e) {
		deg[x]+=1;
		deg[y]+=1;
	}

	int leafs=0;
	for(int i=1;i<=N;i++) {
		if(deg[i]==1) {
			leafs+=1;
		}
	}

	cout<<(leafs+1)/2<<'\n';
}

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	35164 KB	Output is correct
2	Correct	7 ms	35164 KB	Output is correct
3	Correct	7 ms	35164 KB	Output is correct
4	Correct	7 ms	35164 KB	Output is correct
5	Correct	7 ms	35160 KB	Output is correct
6	Correct	7 ms	35160 KB	Output is correct
7	Correct	7 ms	35160 KB	Output is correct
8	Correct	7 ms	35160 KB	Output is correct
9	Correct	6 ms	35164 KB	Output is correct
10	Correct	7 ms	35160 KB	Output is correct
11	Correct	7 ms	35300 KB	Output is correct
12	Correct	7 ms	35292 KB	Output is correct
13	Correct	7 ms	35164 KB	Output is correct
14	Correct	7 ms	35160 KB	Output is correct
15	Correct	7 ms	35164 KB	Output is correct
16	Correct	7 ms	35164 KB	Output is correct
17	Correct	7 ms	35164 KB	Output is correct
18	Correct	7 ms	35292 KB	Output is correct
19	Correct	7 ms	35164 KB	Output is correct
20	Correct	7 ms	35164 KB	Output is correct
21	Correct	7 ms	35296 KB	Output is correct
22	Correct	7 ms	35160 KB	Output is correct
23	Correct	8 ms	35164 KB	Output is correct
24	Correct	7 ms	35416 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	35164 KB	Output is correct
2	Correct	7 ms	35164 KB	Output is correct
3	Correct	7 ms	35164 KB	Output is correct
4	Correct	7 ms	35164 KB	Output is correct
5	Correct	7 ms	35160 KB	Output is correct
6	Correct	7 ms	35160 KB	Output is correct
7	Correct	7 ms	35160 KB	Output is correct
8	Correct	7 ms	35160 KB	Output is correct
9	Correct	6 ms	35164 KB	Output is correct
10	Correct	7 ms	35160 KB	Output is correct
11	Correct	7 ms	35300 KB	Output is correct
12	Correct	7 ms	35292 KB	Output is correct
13	Correct	7 ms	35164 KB	Output is correct
14	Correct	7 ms	35160 KB	Output is correct
15	Correct	7 ms	35164 KB	Output is correct
16	Correct	7 ms	35164 KB	Output is correct
17	Correct	7 ms	35164 KB	Output is correct
18	Correct	7 ms	35292 KB	Output is correct
19	Correct	7 ms	35164 KB	Output is correct
20	Correct	7 ms	35164 KB	Output is correct
21	Correct	7 ms	35296 KB	Output is correct
22	Correct	7 ms	35160 KB	Output is correct
23	Correct	8 ms	35164 KB	Output is correct
24	Correct	7 ms	35416 KB	Output is correct
25	Correct	7 ms	35164 KB	Output is correct
26	Correct	9 ms	35676 KB	Output is correct
27	Correct	10 ms	35604 KB	Output is correct
28	Correct	12 ms	35860 KB	Output is correct
29	Correct	18 ms	35928 KB	Output is correct
30	Correct	9 ms	35672 KB	Output is correct
31	Correct	7 ms	35164 KB	Output is correct
32	Correct	10 ms	35928 KB	Output is correct
33	Correct	7 ms	35160 KB	Output is correct
34	Correct	10 ms	35676 KB	Output is correct
35	Correct	11 ms	35864 KB	Output is correct
36	Correct	9 ms	35676 KB	Output is correct
37	Correct	9 ms	35584 KB	Output is correct
38	Correct	7 ms	35164 KB	Output is correct
39	Correct	9 ms	35684 KB	Output is correct
40	Correct	9 ms	35516 KB	Output is correct
41	Correct	8 ms	35672 KB	Output is correct
42	Correct	9 ms	35676 KB	Output is correct
43	Correct	8 ms	35932 KB	Output is correct
44	Correct	7 ms	35256 KB	Output is correct
45	Correct	10 ms	35676 KB	Output is correct
46	Correct	9 ms	35712 KB	Output is correct
47	Correct	7 ms	35164 KB	Output is correct
48	Correct	9 ms	35676 KB	Output is correct
49	Correct	10 ms	35992 KB	Output is correct
50	Correct	9 ms	36028 KB	Output is correct
51	Correct	11 ms	35676 KB	Output is correct
52	Correct	8 ms	35608 KB	Output is correct
53	Correct	10 ms	35824 KB	Output is correct
54	Correct	10 ms	35676 KB	Output is correct

Subtask #3
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	35164 KB	Output is correct
2	Correct	7 ms	35164 KB	Output is correct
3	Correct	7 ms	35164 KB	Output is correct
4	Correct	7 ms	35164 KB	Output is correct
5	Correct	7 ms	35160 KB	Output is correct
6	Correct	7 ms	35160 KB	Output is correct
7	Correct	7 ms	35160 KB	Output is correct
8	Correct	7 ms	35160 KB	Output is correct
9	Correct	6 ms	35164 KB	Output is correct
10	Correct	7 ms	35160 KB	Output is correct
11	Correct	7 ms	35300 KB	Output is correct
12	Correct	7 ms	35292 KB	Output is correct
13	Correct	7 ms	35164 KB	Output is correct
14	Correct	7 ms	35160 KB	Output is correct
15	Correct	7 ms	35164 KB	Output is correct
16	Correct	7 ms	35164 KB	Output is correct
17	Correct	7 ms	35164 KB	Output is correct
18	Correct	7 ms	35292 KB	Output is correct
19	Correct	7 ms	35164 KB	Output is correct
20	Correct	7 ms	35164 KB	Output is correct
21	Correct	7 ms	35296 KB	Output is correct
22	Correct	7 ms	35160 KB	Output is correct
23	Correct	8 ms	35164 KB	Output is correct
24	Correct	7 ms	35416 KB	Output is correct
25	Correct	7 ms	35164 KB	Output is correct
26	Correct	59 ms	50320 KB	Output is correct
27	Correct	99 ms	49964 KB	Output is correct
28	Correct	10 ms	35704 KB	Output is correct
29	Correct	8 ms	35164 KB	Output is correct
30	Correct	7 ms	35356 KB	Output is correct
31	Correct	86 ms	49912 KB	Output is correct
32	Correct	9 ms	35760 KB	Output is correct
33	Correct	117 ms	60040 KB	Output is correct
34	Correct	77 ms	49976 KB	Output is correct
35	Correct	8 ms	35608 KB	Output is correct
36	Correct	87 ms	50888 KB	Output is correct
37	Correct	9 ms	35756 KB	Output is correct
38	Correct	10 ms	35676 KB	Output is correct
39	Correct	68 ms	49984 KB	Output is correct
40	Correct	10 ms	35944 KB	Output is correct
41	Correct	84 ms	49672 KB	Output is correct
42	Correct	120 ms	53272 KB	Output is correct
43	Correct	8 ms	35164 KB	Output is correct
44	Correct	106 ms	60280 KB	Output is correct
45	Correct	95 ms	55004 KB	Output is correct
46	Correct	9 ms	35772 KB	Output is correct
47	Correct	10 ms	35748 KB	Output is correct

Subtask #4
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	59 ms	48844 KB	Output is correct
2	Correct	137 ms	56076 KB	Output is correct
3	Correct	10 ms	35676 KB	Output is correct
4	Correct	9 ms	35676 KB	Output is correct
5	Correct	7 ms	35284 KB	Output is correct
6	Correct	7 ms	35164 KB	Output is correct
7	Correct	8 ms	35548 KB	Output is correct
8	Correct	97 ms	51952 KB	Output is correct
9	Correct	9 ms	35676 KB	Output is correct
10	Correct	89 ms	50292 KB	Output is correct
11	Correct	8 ms	35164 KB	Output is correct
12	Correct	73 ms	50032 KB	Output is correct
13	Correct	104 ms	52240 KB	Output is correct
14	Correct	125 ms	57872 KB	Output is correct
15	Correct	67 ms	49996 KB	Output is correct
16	Correct	8 ms	35672 KB	Output is correct
17	Correct	8 ms	35164 KB	Output is correct
18	Correct	106 ms	56800 KB	Output is correct
19	Correct	138 ms	63056 KB	Output is correct
20	Correct	10 ms	35672 KB	Output is correct
21	Correct	7 ms	35164 KB	Output is correct
22	Correct	93 ms	52324 KB	Output is correct
23	Correct	8 ms	35676 KB	Output is correct
24	Correct	92 ms	50960 KB	Output is correct
25	Correct	128 ms	61148 KB	Output is correct
26	Correct	9 ms	36184 KB	Output is correct
27	Correct	10 ms	35928 KB	Output is correct
28	Correct	9 ms	35672 KB	Output is correct
29	Correct	8 ms	35540 KB	Output is correct
30	Correct	8 ms	35672 KB	Output is correct

Subtask #5
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	35164 KB	Output is correct
2	Correct	7 ms	35164 KB	Output is correct
3	Correct	7 ms	35164 KB	Output is correct
4	Correct	7 ms	35164 KB	Output is correct
5	Correct	7 ms	35160 KB	Output is correct
6	Correct	7 ms	35160 KB	Output is correct
7	Correct	7 ms	35160 KB	Output is correct
8	Correct	7 ms	35160 KB	Output is correct
9	Correct	6 ms	35164 KB	Output is correct
10	Correct	7 ms	35160 KB	Output is correct
11	Correct	7 ms	35300 KB	Output is correct
12	Correct	7 ms	35292 KB	Output is correct
13	Correct	7 ms	35164 KB	Output is correct
14	Correct	7 ms	35160 KB	Output is correct
15	Correct	7 ms	35164 KB	Output is correct
16	Correct	7 ms	35164 KB	Output is correct
17	Correct	7 ms	35164 KB	Output is correct
18	Correct	7 ms	35292 KB	Output is correct
19	Correct	7 ms	35164 KB	Output is correct
20	Correct	7 ms	35164 KB	Output is correct
21	Correct	7 ms	35296 KB	Output is correct
22	Correct	7 ms	35160 KB	Output is correct
23	Correct	8 ms	35164 KB	Output is correct
24	Correct	7 ms	35416 KB	Output is correct
25	Correct	7 ms	35164 KB	Output is correct
26	Correct	9 ms	35676 KB	Output is correct
27	Correct	10 ms	35604 KB	Output is correct
28	Correct	12 ms	35860 KB	Output is correct
29	Correct	18 ms	35928 KB	Output is correct
30	Correct	9 ms	35672 KB	Output is correct
31	Correct	7 ms	35164 KB	Output is correct
32	Correct	10 ms	35928 KB	Output is correct
33	Correct	7 ms	35160 KB	Output is correct
34	Correct	10 ms	35676 KB	Output is correct
35	Correct	11 ms	35864 KB	Output is correct
36	Correct	9 ms	35676 KB	Output is correct
37	Correct	9 ms	35584 KB	Output is correct
38	Correct	7 ms	35164 KB	Output is correct
39	Correct	9 ms	35684 KB	Output is correct
40	Correct	9 ms	35516 KB	Output is correct
41	Correct	8 ms	35672 KB	Output is correct
42	Correct	9 ms	35676 KB	Output is correct
43	Correct	8 ms	35932 KB	Output is correct
44	Correct	7 ms	35256 KB	Output is correct
45	Correct	10 ms	35676 KB	Output is correct
46	Correct	9 ms	35712 KB	Output is correct
47	Correct	7 ms	35164 KB	Output is correct
48	Correct	9 ms	35676 KB	Output is correct
49	Correct	10 ms	35992 KB	Output is correct
50	Correct	9 ms	36028 KB	Output is correct
51	Correct	11 ms	35676 KB	Output is correct
52	Correct	8 ms	35608 KB	Output is correct
53	Correct	10 ms	35824 KB	Output is correct
54	Correct	10 ms	35676 KB	Output is correct
55	Correct	7 ms	35164 KB	Output is correct
56	Correct	59 ms	50320 KB	Output is correct
57	Correct	99 ms	49964 KB	Output is correct
58	Correct	10 ms	35704 KB	Output is correct
59	Correct	8 ms	35164 KB	Output is correct
60	Correct	7 ms	35356 KB	Output is correct
61	Correct	86 ms	49912 KB	Output is correct
62	Correct	9 ms	35760 KB	Output is correct
63	Correct	117 ms	60040 KB	Output is correct
64	Correct	77 ms	49976 KB	Output is correct
65	Correct	8 ms	35608 KB	Output is correct
66	Correct	87 ms	50888 KB	Output is correct
67	Correct	9 ms	35756 KB	Output is correct
68	Correct	10 ms	35676 KB	Output is correct
69	Correct	68 ms	49984 KB	Output is correct
70	Correct	10 ms	35944 KB	Output is correct
71	Correct	84 ms	49672 KB	Output is correct
72	Correct	120 ms	53272 KB	Output is correct
73	Correct	8 ms	35164 KB	Output is correct
74	Correct	106 ms	60280 KB	Output is correct
75	Correct	95 ms	55004 KB	Output is correct
76	Correct	9 ms	35772 KB	Output is correct
77	Correct	10 ms	35748 KB	Output is correct
78	Correct	59 ms	48844 KB	Output is correct
79	Correct	137 ms	56076 KB	Output is correct
80	Correct	10 ms	35676 KB	Output is correct
81	Correct	9 ms	35676 KB	Output is correct
82	Correct	7 ms	35284 KB	Output is correct
83	Correct	7 ms	35164 KB	Output is correct
84	Correct	8 ms	35548 KB	Output is correct
85	Correct	97 ms	51952 KB	Output is correct
86	Correct	9 ms	35676 KB	Output is correct
87	Correct	89 ms	50292 KB	Output is correct
88	Correct	8 ms	35164 KB	Output is correct
89	Correct	73 ms	50032 KB	Output is correct
90	Correct	104 ms	52240 KB	Output is correct
91	Correct	125 ms	57872 KB	Output is correct
92	Correct	67 ms	49996 KB	Output is correct
93	Correct	8 ms	35672 KB	Output is correct
94	Correct	8 ms	35164 KB	Output is correct
95	Correct	106 ms	56800 KB	Output is correct
96	Correct	138 ms	63056 KB	Output is correct
97	Correct	10 ms	35672 KB	Output is correct
98	Correct	7 ms	35164 KB	Output is correct
99	Correct	93 ms	52324 KB	Output is correct
100	Correct	8 ms	35676 KB	Output is correct
101	Correct	92 ms	50960 KB	Output is correct
102	Correct	128 ms	61148 KB	Output is correct
103	Correct	9 ms	36184 KB	Output is correct
104	Correct	10 ms	35928 KB	Output is correct
105	Correct	9 ms	35672 KB	Output is correct
106	Correct	8 ms	35540 KB	Output is correct
107	Correct	8 ms	35672 KB	Output is correct
108	Correct	509 ms	110884 KB	Output is correct
109	Correct	763 ms	125912 KB	Output is correct
110	Correct	873 ms	141764 KB	Output is correct
111	Correct	1201 ms	170744 KB	Output is correct
112	Correct	1084 ms	147796 KB	Output is correct
113	Correct	824 ms	135476 KB	Output is correct
114	Correct	631 ms	100508 KB	Output is correct
115	Correct	659 ms	100556 KB	Output is correct
116	Correct	729 ms	105812 KB	Output is correct
117	Correct	1150 ms	140096 KB	Output is correct
118	Correct	576 ms	101956 KB	Output is correct
119	Correct	1085 ms	140116 KB	Output is correct
120	Correct	1272 ms	159672 KB	Output is correct
121	Correct	1154 ms	140040 KB	Output is correct
122	Correct	837 ms	114224 KB	Output is correct
123	Correct	919 ms	141628 KB	Output is correct
124	Correct	1090 ms	130740 KB	Output is correct

Submission #978011

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