Submission #1014676

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1014676	2024-07-05T09:17:10 Z	NintsiChkhaidze	Mergers (JOI19_mergers)	C++17	100 / 100	2392 ms	209180 KB

mergers

#include <bits/stdc++.h>
#define pb push_back
#define s second
#define f first
#define pb push_back
#define pii pair <int,int>
#define ll long long
using namespace std;

const int N = 5e5 + 5;
vector <pii> v[N],vec[N];
int tin[N],timer,d[25][N],dep[N];
int edge[N],val[N],n,p[N],lz[N];
bool del[N];
set <int> st[N];

void dfs(int x,int par){
	d[0][x] = par;
	dep[x] = dep[par] + 1;
	tin[x] = ++timer;

	for (auto [to, id]: v[x]){
		if (to != par) {
			edge[to] = id;
			dfs(to,x);
		}
	}
}

int lca(int x,int y){
	if (dep[x] < dep[y ]) swap(x,y);
	for (int i = 20; i >= 0; i--)
		if (dep[d[i][x]] >= dep[y]) x = d[i][x];
	if (x == y) return x;

	for (int i = 20; i >= 0; i--)
		if (d[i][x] != d[i][y]) x = d[i][x],y = d[i][y];

	return d[0][x];
}

void getpath(int x,int y){
	int c = lca(x,y);
	lz[x] += 1;
	lz[y] += 1;
	lz[c] -= 2;
}	

int P(int x){
	if(x==p[x])return x;
	return p[x]=P(p[x]);
}

void dsu(int x,int y){
	int px = P(x),py = P(y);
	if ((int)st[px].size() < (int)st[py].size()) swap(px,py);
	p[py] = px;
	del[py] = 1;
	
	for (int v: st[py])
		st[px].insert(v);
	
	st[py].clear();
}

int dfs2(int x,int par){
	int s = lz[x];
	for (auto [to,id]: v[x]){
		if (to == par) continue;
		s += dfs2(to,x);
	}

	if (x > 1 && s > 0) {
		val[edge[x]] = 0;
	}
	return s;
}
signed main() {
	ios_base::sync_with_stdio(0),cin.tie(NULL),cout.tie(NULL);

	int k;
	cin>>n>>k;

	for (int i = 1; i < n; i++){
		int a,b;
		cin>>a>>b;
		st[a].insert(b);
		st[b].insert(a);
		v[a].pb({b,i});
		v[b].pb({a,i});
		val[i] = 1;
	}

	dfs(1,1);
	for (int j = 1; j <= 20 ; j++)
		for (int i = 1; i <= n; i++)
			d[j][i] = d[j - 1][d[j - 1][i]];

	for (int i = 1; i <= n; i++){
		int c;
		cin>>c;
		vec[c].pb({tin[i],i});
		p[i] = i;
	}

	for (int i = 1; i <= k; i++){
		sort(vec[i].begin(),vec[i].end());
		for (int j = 1; j < vec[i].size(); j++){
			getpath(vec[i][j].s,vec[i][j - 1].s);
		}
	}
	dfs2(1,1);

	for (int i = 2; i <= n; i++)
		if (!val[edge[i]]) dsu(i,d[0][i]);

	int ans = 0;
	for (int i = 1; i <= n;i++){
		if (del[i]) continue;
		set <int> nw;
		for (int v: st[i])
			nw.insert(P(v));

		if (nw.find(i) != nw.end()) nw.erase(nw.find(i));
		ans += ((int)nw.size() == 1);
	}
	cout<<(ans + 1)/2;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:108:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |   for (int j = 1; j < vec[i].size(); j++){
      |                   ~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	47452 KB	Output is correct
2	Correct	20 ms	47468 KB	Output is correct
3	Correct	21 ms	47452 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	23 ms	47452 KB	Output is correct
6	Correct	21 ms	47452 KB	Output is correct
7	Correct	23 ms	47452 KB	Output is correct
8	Correct	21 ms	47428 KB	Output is correct
9	Correct	22 ms	47444 KB	Output is correct
10	Correct	20 ms	47456 KB	Output is correct
11	Correct	21 ms	47448 KB	Output is correct
12	Correct	21 ms	47452 KB	Output is correct
13	Correct	22 ms	47480 KB	Output is correct
14	Correct	23 ms	47452 KB	Output is correct
15	Correct	21 ms	47428 KB	Output is correct
16	Correct	21 ms	47624 KB	Output is correct
17	Correct	27 ms	47452 KB	Output is correct
18	Correct	22 ms	47452 KB	Output is correct
19	Correct	23 ms	47452 KB	Output is correct
20	Correct	22 ms	47448 KB	Output is correct
21	Correct	20 ms	47452 KB	Output is correct
22	Correct	21 ms	47452 KB	Output is correct
23	Correct	21 ms	47612 KB	Output is correct
24	Correct	21 ms	47452 KB	Output is correct

Subtask #2
24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	47452 KB	Output is correct
2	Correct	20 ms	47468 KB	Output is correct
3	Correct	21 ms	47452 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	23 ms	47452 KB	Output is correct
6	Correct	21 ms	47452 KB	Output is correct
7	Correct	23 ms	47452 KB	Output is correct
8	Correct	21 ms	47428 KB	Output is correct
9	Correct	22 ms	47444 KB	Output is correct
10	Correct	20 ms	47456 KB	Output is correct
11	Correct	21 ms	47448 KB	Output is correct
12	Correct	21 ms	47452 KB	Output is correct
13	Correct	22 ms	47480 KB	Output is correct
14	Correct	23 ms	47452 KB	Output is correct
15	Correct	21 ms	47428 KB	Output is correct
16	Correct	21 ms	47624 KB	Output is correct
17	Correct	27 ms	47452 KB	Output is correct
18	Correct	22 ms	47452 KB	Output is correct
19	Correct	23 ms	47452 KB	Output is correct
20	Correct	22 ms	47448 KB	Output is correct
21	Correct	20 ms	47452 KB	Output is correct
22	Correct	21 ms	47452 KB	Output is correct
23	Correct	21 ms	47612 KB	Output is correct
24	Correct	21 ms	47452 KB	Output is correct
25	Correct	20 ms	47452 KB	Output is correct
26	Correct	22 ms	48220 KB	Output is correct
27	Correct	23 ms	48220 KB	Output is correct
28	Correct	24 ms	48448 KB	Output is correct
29	Correct	23 ms	48340 KB	Output is correct
30	Correct	24 ms	48220 KB	Output is correct
31	Correct	22 ms	47448 KB	Output is correct
32	Correct	23 ms	48476 KB	Output is correct
33	Correct	26 ms	47600 KB	Output is correct
34	Correct	23 ms	48220 KB	Output is correct
35	Correct	26 ms	48472 KB	Output is correct
36	Correct	23 ms	48220 KB	Output is correct
37	Correct	23 ms	48220 KB	Output is correct
38	Correct	22 ms	47424 KB	Output is correct
39	Correct	32 ms	48208 KB	Output is correct
40	Correct	24 ms	48412 KB	Output is correct
41	Correct	24 ms	48220 KB	Output is correct
42	Correct	23 ms	48452 KB	Output is correct
43	Correct	27 ms	48476 KB	Output is correct
44	Correct	21 ms	47452 KB	Output is correct
45	Correct	24 ms	48476 KB	Output is correct
46	Correct	35 ms	48448 KB	Output is correct
47	Correct	21 ms	47452 KB	Output is correct
48	Correct	23 ms	48444 KB	Output is correct
49	Correct	23 ms	48472 KB	Output is correct
50	Correct	23 ms	48476 KB	Output is correct
51	Correct	25 ms	48236 KB	Output is correct
52	Correct	24 ms	48396 KB	Output is correct
53	Correct	24 ms	48216 KB	Output is correct
54	Correct	25 ms	48216 KB	Output is correct

Subtask #3
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	47452 KB	Output is correct
2	Correct	20 ms	47468 KB	Output is correct
3	Correct	21 ms	47452 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	23 ms	47452 KB	Output is correct
6	Correct	21 ms	47452 KB	Output is correct
7	Correct	23 ms	47452 KB	Output is correct
8	Correct	21 ms	47428 KB	Output is correct
9	Correct	22 ms	47444 KB	Output is correct
10	Correct	20 ms	47456 KB	Output is correct
11	Correct	21 ms	47448 KB	Output is correct
12	Correct	21 ms	47452 KB	Output is correct
13	Correct	22 ms	47480 KB	Output is correct
14	Correct	23 ms	47452 KB	Output is correct
15	Correct	21 ms	47428 KB	Output is correct
16	Correct	21 ms	47624 KB	Output is correct
17	Correct	27 ms	47452 KB	Output is correct
18	Correct	22 ms	47452 KB	Output is correct
19	Correct	23 ms	47452 KB	Output is correct
20	Correct	22 ms	47448 KB	Output is correct
21	Correct	20 ms	47452 KB	Output is correct
22	Correct	21 ms	47452 KB	Output is correct
23	Correct	21 ms	47612 KB	Output is correct
24	Correct	21 ms	47452 KB	Output is correct
25	Correct	20 ms	47448 KB	Output is correct
26	Correct	151 ms	73948 KB	Output is correct
27	Correct	216 ms	73712 KB	Output is correct
28	Correct	32 ms	48208 KB	Output is correct
29	Correct	22 ms	47448 KB	Output is correct
30	Correct	21 ms	47448 KB	Output is correct
31	Correct	201 ms	73736 KB	Output is correct
32	Correct	24 ms	48220 KB	Output is correct
33	Correct	280 ms	79044 KB	Output is correct
34	Correct	204 ms	73700 KB	Output is correct
35	Correct	24 ms	48220 KB	Output is correct
36	Correct	221 ms	73736 KB	Output is correct
37	Correct	25 ms	48208 KB	Output is correct
38	Correct	24 ms	48220 KB	Output is correct
39	Correct	173 ms	75836 KB	Output is correct
40	Correct	28 ms	48476 KB	Output is correct
41	Correct	217 ms	73444 KB	Output is correct
42	Correct	243 ms	75024 KB	Output is correct
43	Correct	20 ms	47452 KB	Output is correct
44	Correct	262 ms	79048 KB	Output is correct
45	Correct	266 ms	77544 KB	Output is correct
46	Correct	25 ms	48220 KB	Output is correct
47	Correct	26 ms	48176 KB	Output is correct

Subtask #4
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	147 ms	73924 KB	Output is correct
2	Correct	136 ms	80580 KB	Output is correct
3	Correct	24 ms	48220 KB	Output is correct
4	Correct	24 ms	48216 KB	Output is correct
5	Correct	30 ms	47452 KB	Output is correct
6	Correct	21 ms	47452 KB	Output is correct
7	Correct	23 ms	48272 KB	Output is correct
8	Correct	177 ms	74904 KB	Output is correct
9	Correct	24 ms	48216 KB	Output is correct
10	Correct	191 ms	74068 KB	Output is correct
11	Correct	22 ms	47448 KB	Output is correct
12	Correct	181 ms	73300 KB	Output is correct
13	Correct	154 ms	74620 KB	Output is correct
14	Correct	122 ms	75756 KB	Output is correct
15	Correct	164 ms	75840 KB	Output is correct
16	Correct	25 ms	48468 KB	Output is correct
17	Correct	21 ms	47452 KB	Output is correct
18	Correct	160 ms	78912 KB	Output is correct
19	Correct	129 ms	78168 KB	Output is correct
20	Correct	23 ms	48220 KB	Output is correct
21	Correct	21 ms	47452 KB	Output is correct
22	Correct	155 ms	74980 KB	Output is correct
23	Correct	23 ms	48216 KB	Output is correct
24	Correct	159 ms	74068 KB	Output is correct
25	Correct	137 ms	78024 KB	Output is correct
26	Correct	23 ms	48476 KB	Output is correct
27	Correct	22 ms	48344 KB	Output is correct
28	Correct	24 ms	48372 KB	Output is correct
29	Correct	23 ms	48220 KB	Output is correct
30	Correct	23 ms	48220 KB	Output is correct

Subtask #5
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	21 ms	47452 KB	Output is correct
2	Correct	20 ms	47468 KB	Output is correct
3	Correct	21 ms	47452 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	23 ms	47452 KB	Output is correct
6	Correct	21 ms	47452 KB	Output is correct
7	Correct	23 ms	47452 KB	Output is correct
8	Correct	21 ms	47428 KB	Output is correct
9	Correct	22 ms	47444 KB	Output is correct
10	Correct	20 ms	47456 KB	Output is correct
11	Correct	21 ms	47448 KB	Output is correct
12	Correct	21 ms	47452 KB	Output is correct
13	Correct	22 ms	47480 KB	Output is correct
14	Correct	23 ms	47452 KB	Output is correct
15	Correct	21 ms	47428 KB	Output is correct
16	Correct	21 ms	47624 KB	Output is correct
17	Correct	27 ms	47452 KB	Output is correct
18	Correct	22 ms	47452 KB	Output is correct
19	Correct	23 ms	47452 KB	Output is correct
20	Correct	22 ms	47448 KB	Output is correct
21	Correct	20 ms	47452 KB	Output is correct
22	Correct	21 ms	47452 KB	Output is correct
23	Correct	21 ms	47612 KB	Output is correct
24	Correct	21 ms	47452 KB	Output is correct
25	Correct	20 ms	47452 KB	Output is correct
26	Correct	22 ms	48220 KB	Output is correct
27	Correct	23 ms	48220 KB	Output is correct
28	Correct	24 ms	48448 KB	Output is correct
29	Correct	23 ms	48340 KB	Output is correct
30	Correct	24 ms	48220 KB	Output is correct
31	Correct	22 ms	47448 KB	Output is correct
32	Correct	23 ms	48476 KB	Output is correct
33	Correct	26 ms	47600 KB	Output is correct
34	Correct	23 ms	48220 KB	Output is correct
35	Correct	26 ms	48472 KB	Output is correct
36	Correct	23 ms	48220 KB	Output is correct
37	Correct	23 ms	48220 KB	Output is correct
38	Correct	22 ms	47424 KB	Output is correct
39	Correct	32 ms	48208 KB	Output is correct
40	Correct	24 ms	48412 KB	Output is correct
41	Correct	24 ms	48220 KB	Output is correct
42	Correct	23 ms	48452 KB	Output is correct
43	Correct	27 ms	48476 KB	Output is correct
44	Correct	21 ms	47452 KB	Output is correct
45	Correct	24 ms	48476 KB	Output is correct
46	Correct	35 ms	48448 KB	Output is correct
47	Correct	21 ms	47452 KB	Output is correct
48	Correct	23 ms	48444 KB	Output is correct
49	Correct	23 ms	48472 KB	Output is correct
50	Correct	23 ms	48476 KB	Output is correct
51	Correct	25 ms	48236 KB	Output is correct
52	Correct	24 ms	48396 KB	Output is correct
53	Correct	24 ms	48216 KB	Output is correct
54	Correct	25 ms	48216 KB	Output is correct
55	Correct	20 ms	47448 KB	Output is correct
56	Correct	151 ms	73948 KB	Output is correct
57	Correct	216 ms	73712 KB	Output is correct
58	Correct	32 ms	48208 KB	Output is correct
59	Correct	22 ms	47448 KB	Output is correct
60	Correct	21 ms	47448 KB	Output is correct
61	Correct	201 ms	73736 KB	Output is correct
62	Correct	24 ms	48220 KB	Output is correct
63	Correct	280 ms	79044 KB	Output is correct
64	Correct	204 ms	73700 KB	Output is correct
65	Correct	24 ms	48220 KB	Output is correct
66	Correct	221 ms	73736 KB	Output is correct
67	Correct	25 ms	48208 KB	Output is correct
68	Correct	24 ms	48220 KB	Output is correct
69	Correct	173 ms	75836 KB	Output is correct
70	Correct	28 ms	48476 KB	Output is correct
71	Correct	217 ms	73444 KB	Output is correct
72	Correct	243 ms	75024 KB	Output is correct
73	Correct	20 ms	47452 KB	Output is correct
74	Correct	262 ms	79048 KB	Output is correct
75	Correct	266 ms	77544 KB	Output is correct
76	Correct	25 ms	48220 KB	Output is correct
77	Correct	26 ms	48176 KB	Output is correct
78	Correct	147 ms	73924 KB	Output is correct
79	Correct	136 ms	80580 KB	Output is correct
80	Correct	24 ms	48220 KB	Output is correct
81	Correct	24 ms	48216 KB	Output is correct
82	Correct	30 ms	47452 KB	Output is correct
83	Correct	21 ms	47452 KB	Output is correct
84	Correct	23 ms	48272 KB	Output is correct
85	Correct	177 ms	74904 KB	Output is correct
86	Correct	24 ms	48216 KB	Output is correct
87	Correct	191 ms	74068 KB	Output is correct
88	Correct	22 ms	47448 KB	Output is correct
89	Correct	181 ms	73300 KB	Output is correct
90	Correct	154 ms	74620 KB	Output is correct
91	Correct	122 ms	75756 KB	Output is correct
92	Correct	164 ms	75840 KB	Output is correct
93	Correct	25 ms	48468 KB	Output is correct
94	Correct	21 ms	47452 KB	Output is correct
95	Correct	160 ms	78912 KB	Output is correct
96	Correct	129 ms	78168 KB	Output is correct
97	Correct	23 ms	48220 KB	Output is correct
98	Correct	21 ms	47452 KB	Output is correct
99	Correct	155 ms	74980 KB	Output is correct
100	Correct	23 ms	48216 KB	Output is correct
101	Correct	159 ms	74068 KB	Output is correct
102	Correct	137 ms	78024 KB	Output is correct
103	Correct	23 ms	48476 KB	Output is correct
104	Correct	22 ms	48344 KB	Output is correct
105	Correct	24 ms	48372 KB	Output is correct
106	Correct	23 ms	48220 KB	Output is correct
107	Correct	23 ms	48220 KB	Output is correct
108	Correct	1092 ms	184700 KB	Output is correct
109	Correct	2318 ms	189280 KB	Output is correct
110	Correct	2392 ms	197192 KB	Output is correct
111	Correct	1051 ms	203452 KB	Output is correct
112	Correct	2003 ms	199868 KB	Output is correct
113	Correct	1129 ms	203564 KB	Output is correct
114	Correct	1756 ms	176620 KB	Output is correct
115	Correct	1805 ms	176568 KB	Output is correct
116	Correct	1785 ms	179220 KB	Output is correct
117	Correct	881 ms	184748 KB	Output is correct
118	Correct	1606 ms	174672 KB	Output is correct
119	Correct	864 ms	184660 KB	Output is correct
120	Correct	1000 ms	197172 KB	Output is correct
121	Correct	842 ms	185936 KB	Output is correct
122	Correct	1871 ms	181488 KB	Output is correct
123	Correct	935 ms	209180 KB	Output is correct
124	Correct	1109 ms	181704 KB	Output is correct

Submission #1014676

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