답안 #1014675

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1014675	2024-07-05T09:15:13 Z	NintsiChkhaidze	Mergers (JOI19_mergers)	C++17	100 / 100	2330 ms	215896 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 col[N],tin[N],timer,d[25][N],dep[N];
int edge[N],val[N],n,D,I,p[N],lz[N];
bool vis[N],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++)
		cin >> col[i],vec[col[i]].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:104:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  104 |   for (int j = 1; j < vec[i].size(); j++){
      |                   ~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	20 ms	47448 KB	Output is correct
2	Correct	21 ms	47452 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	22 ms	47452 KB	Output is correct
6	Correct	20 ms	47448 KB	Output is correct
7	Correct	24 ms	47452 KB	Output is correct
8	Correct	19 ms	47448 KB	Output is correct
9	Correct	23 ms	47444 KB	Output is correct
10	Correct	20 ms	47452 KB	Output is correct
11	Correct	20 ms	47536 KB	Output is correct
12	Correct	19 ms	47528 KB	Output is correct
13	Correct	20 ms	47584 KB	Output is correct
14	Correct	25 ms	47452 KB	Output is correct
15	Correct	21 ms	47452 KB	Output is correct
16	Correct	20 ms	47452 KB	Output is correct
17	Correct	20 ms	47448 KB	Output is correct
18	Correct	20 ms	47592 KB	Output is correct
19	Correct	21 ms	47612 KB	Output is correct
20	Correct	20 ms	47448 KB	Output is correct
21	Correct	24 ms	47452 KB	Output is correct
22	Correct	20 ms	47680 KB	Output is correct
23	Correct	20 ms	47452 KB	Output is correct
24	Correct	19 ms	47584 KB	Output is correct

Subtask #2
24.0 / 24.0

#	결과	실행 시간	메모리	Grader output
1	Correct	20 ms	47448 KB	Output is correct
2	Correct	21 ms	47452 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	22 ms	47452 KB	Output is correct
6	Correct	20 ms	47448 KB	Output is correct
7	Correct	24 ms	47452 KB	Output is correct
8	Correct	19 ms	47448 KB	Output is correct
9	Correct	23 ms	47444 KB	Output is correct
10	Correct	20 ms	47452 KB	Output is correct
11	Correct	20 ms	47536 KB	Output is correct
12	Correct	19 ms	47528 KB	Output is correct
13	Correct	20 ms	47584 KB	Output is correct
14	Correct	25 ms	47452 KB	Output is correct
15	Correct	21 ms	47452 KB	Output is correct
16	Correct	20 ms	47452 KB	Output is correct
17	Correct	20 ms	47448 KB	Output is correct
18	Correct	20 ms	47592 KB	Output is correct
19	Correct	21 ms	47612 KB	Output is correct
20	Correct	20 ms	47448 KB	Output is correct
21	Correct	24 ms	47452 KB	Output is correct
22	Correct	20 ms	47680 KB	Output is correct
23	Correct	20 ms	47452 KB	Output is correct
24	Correct	19 ms	47584 KB	Output is correct
25	Correct	19 ms	47452 KB	Output is correct
26	Correct	22 ms	48312 KB	Output is correct
27	Correct	23 ms	48216 KB	Output is correct
28	Correct	29 ms	48556 KB	Output is correct
29	Correct	22 ms	48476 KB	Output is correct
30	Correct	22 ms	48220 KB	Output is correct
31	Correct	20 ms	47452 KB	Output is correct
32	Correct	24 ms	48476 KB	Output is correct
33	Correct	20 ms	47488 KB	Output is correct
34	Correct	22 ms	48212 KB	Output is correct
35	Correct	21 ms	48472 KB	Output is correct
36	Correct	23 ms	48200 KB	Output is correct
37	Correct	23 ms	48256 KB	Output is correct
38	Correct	21 ms	47452 KB	Output is correct
39	Correct	23 ms	48352 KB	Output is correct
40	Correct	23 ms	48220 KB	Output is correct
41	Correct	24 ms	48476 KB	Output is correct
42	Correct	22 ms	48472 KB	Output is correct
43	Correct	24 ms	48376 KB	Output is correct
44	Correct	19 ms	47452 KB	Output is correct
45	Correct	23 ms	48472 KB	Output is correct
46	Correct	23 ms	48320 KB	Output is correct
47	Correct	20 ms	47452 KB	Output is correct
48	Correct	22 ms	48324 KB	Output is correct
49	Correct	21 ms	48476 KB	Output is correct
50	Correct	23 ms	48304 KB	Output is correct
51	Correct	23 ms	48220 KB	Output is correct
52	Correct	23 ms	48476 KB	Output is correct
53	Correct	22 ms	48356 KB	Output is correct
54	Correct	26 ms	48216 KB	Output is correct

Subtask #3
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	20 ms	47448 KB	Output is correct
2	Correct	21 ms	47452 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	22 ms	47452 KB	Output is correct
6	Correct	20 ms	47448 KB	Output is correct
7	Correct	24 ms	47452 KB	Output is correct
8	Correct	19 ms	47448 KB	Output is correct
9	Correct	23 ms	47444 KB	Output is correct
10	Correct	20 ms	47452 KB	Output is correct
11	Correct	20 ms	47536 KB	Output is correct
12	Correct	19 ms	47528 KB	Output is correct
13	Correct	20 ms	47584 KB	Output is correct
14	Correct	25 ms	47452 KB	Output is correct
15	Correct	21 ms	47452 KB	Output is correct
16	Correct	20 ms	47452 KB	Output is correct
17	Correct	20 ms	47448 KB	Output is correct
18	Correct	20 ms	47592 KB	Output is correct
19	Correct	21 ms	47612 KB	Output is correct
20	Correct	20 ms	47448 KB	Output is correct
21	Correct	24 ms	47452 KB	Output is correct
22	Correct	20 ms	47680 KB	Output is correct
23	Correct	20 ms	47452 KB	Output is correct
24	Correct	19 ms	47584 KB	Output is correct
25	Correct	21 ms	47428 KB	Output is correct
26	Correct	147 ms	74428 KB	Output is correct
27	Correct	244 ms	74300 KB	Output is correct
28	Correct	23 ms	48220 KB	Output is correct
29	Correct	20 ms	47452 KB	Output is correct
30	Correct	19 ms	47448 KB	Output is correct
31	Correct	172 ms	74068 KB	Output is correct
32	Correct	23 ms	48216 KB	Output is correct
33	Correct	263 ms	79320 KB	Output is correct
34	Correct	209 ms	74064 KB	Output is correct
35	Correct	23 ms	48220 KB	Output is correct
36	Correct	207 ms	74052 KB	Output is correct
37	Correct	23 ms	48220 KB	Output is correct
38	Correct	23 ms	48472 KB	Output is correct
39	Correct	160 ms	76356 KB	Output is correct
40	Correct	24 ms	48476 KB	Output is correct
41	Correct	213 ms	73928 KB	Output is correct
42	Correct	227 ms	75600 KB	Output is correct
43	Correct	20 ms	47452 KB	Output is correct
44	Correct	296 ms	79312 KB	Output is correct
45	Correct	253 ms	78000 KB	Output is correct
46	Correct	23 ms	48472 KB	Output is correct
47	Correct	23 ms	48212 KB	Output is correct

Subtask #4
22.0 / 22.0

#	결과	실행 시간	메모리	Grader output
1	Correct	140 ms	74440 KB	Output is correct
2	Correct	132 ms	80960 KB	Output is correct
3	Correct	23 ms	48476 KB	Output is correct
4	Correct	22 ms	48212 KB	Output is correct
5	Correct	21 ms	47444 KB	Output is correct
6	Correct	21 ms	47448 KB	Output is correct
7	Correct	22 ms	48244 KB	Output is correct
8	Correct	156 ms	75180 KB	Output is correct
9	Correct	23 ms	48220 KB	Output is correct
10	Correct	192 ms	74328 KB	Output is correct
11	Correct	20 ms	47452 KB	Output is correct
12	Correct	168 ms	73812 KB	Output is correct
13	Correct	161 ms	75056 KB	Output is correct
14	Correct	129 ms	76040 KB	Output is correct
15	Correct	151 ms	76348 KB	Output is correct
16	Correct	23 ms	48456 KB	Output is correct
17	Correct	21 ms	47452 KB	Output is correct
18	Correct	153 ms	79344 KB	Output is correct
19	Correct	144 ms	78676 KB	Output is correct
20	Correct	23 ms	48220 KB	Output is correct
21	Correct	22 ms	47420 KB	Output is correct
22	Correct	163 ms	75436 KB	Output is correct
23	Correct	23 ms	48476 KB	Output is correct
24	Correct	164 ms	74580 KB	Output is correct
25	Correct	139 ms	78356 KB	Output is correct
26	Correct	25 ms	48464 KB	Output is correct
27	Correct	22 ms	48464 KB	Output is correct
28	Correct	27 ms	48216 KB	Output is correct
29	Correct	23 ms	48476 KB	Output is correct
30	Correct	23 ms	48296 KB	Output is correct

Subtask #5
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	20 ms	47448 KB	Output is correct
2	Correct	21 ms	47452 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	21 ms	47452 KB	Output is correct
5	Correct	22 ms	47452 KB	Output is correct
6	Correct	20 ms	47448 KB	Output is correct
7	Correct	24 ms	47452 KB	Output is correct
8	Correct	19 ms	47448 KB	Output is correct
9	Correct	23 ms	47444 KB	Output is correct
10	Correct	20 ms	47452 KB	Output is correct
11	Correct	20 ms	47536 KB	Output is correct
12	Correct	19 ms	47528 KB	Output is correct
13	Correct	20 ms	47584 KB	Output is correct
14	Correct	25 ms	47452 KB	Output is correct
15	Correct	21 ms	47452 KB	Output is correct
16	Correct	20 ms	47452 KB	Output is correct
17	Correct	20 ms	47448 KB	Output is correct
18	Correct	20 ms	47592 KB	Output is correct
19	Correct	21 ms	47612 KB	Output is correct
20	Correct	20 ms	47448 KB	Output is correct
21	Correct	24 ms	47452 KB	Output is correct
22	Correct	20 ms	47680 KB	Output is correct
23	Correct	20 ms	47452 KB	Output is correct
24	Correct	19 ms	47584 KB	Output is correct
25	Correct	19 ms	47452 KB	Output is correct
26	Correct	22 ms	48312 KB	Output is correct
27	Correct	23 ms	48216 KB	Output is correct
28	Correct	29 ms	48556 KB	Output is correct
29	Correct	22 ms	48476 KB	Output is correct
30	Correct	22 ms	48220 KB	Output is correct
31	Correct	20 ms	47452 KB	Output is correct
32	Correct	24 ms	48476 KB	Output is correct
33	Correct	20 ms	47488 KB	Output is correct
34	Correct	22 ms	48212 KB	Output is correct
35	Correct	21 ms	48472 KB	Output is correct
36	Correct	23 ms	48200 KB	Output is correct
37	Correct	23 ms	48256 KB	Output is correct
38	Correct	21 ms	47452 KB	Output is correct
39	Correct	23 ms	48352 KB	Output is correct
40	Correct	23 ms	48220 KB	Output is correct
41	Correct	24 ms	48476 KB	Output is correct
42	Correct	22 ms	48472 KB	Output is correct
43	Correct	24 ms	48376 KB	Output is correct
44	Correct	19 ms	47452 KB	Output is correct
45	Correct	23 ms	48472 KB	Output is correct
46	Correct	23 ms	48320 KB	Output is correct
47	Correct	20 ms	47452 KB	Output is correct
48	Correct	22 ms	48324 KB	Output is correct
49	Correct	21 ms	48476 KB	Output is correct
50	Correct	23 ms	48304 KB	Output is correct
51	Correct	23 ms	48220 KB	Output is correct
52	Correct	23 ms	48476 KB	Output is correct
53	Correct	22 ms	48356 KB	Output is correct
54	Correct	26 ms	48216 KB	Output is correct
55	Correct	21 ms	47428 KB	Output is correct
56	Correct	147 ms	74428 KB	Output is correct
57	Correct	244 ms	74300 KB	Output is correct
58	Correct	23 ms	48220 KB	Output is correct
59	Correct	20 ms	47452 KB	Output is correct
60	Correct	19 ms	47448 KB	Output is correct
61	Correct	172 ms	74068 KB	Output is correct
62	Correct	23 ms	48216 KB	Output is correct
63	Correct	263 ms	79320 KB	Output is correct
64	Correct	209 ms	74064 KB	Output is correct
65	Correct	23 ms	48220 KB	Output is correct
66	Correct	207 ms	74052 KB	Output is correct
67	Correct	23 ms	48220 KB	Output is correct
68	Correct	23 ms	48472 KB	Output is correct
69	Correct	160 ms	76356 KB	Output is correct
70	Correct	24 ms	48476 KB	Output is correct
71	Correct	213 ms	73928 KB	Output is correct
72	Correct	227 ms	75600 KB	Output is correct
73	Correct	20 ms	47452 KB	Output is correct
74	Correct	296 ms	79312 KB	Output is correct
75	Correct	253 ms	78000 KB	Output is correct
76	Correct	23 ms	48472 KB	Output is correct
77	Correct	23 ms	48212 KB	Output is correct
78	Correct	140 ms	74440 KB	Output is correct
79	Correct	132 ms	80960 KB	Output is correct
80	Correct	23 ms	48476 KB	Output is correct
81	Correct	22 ms	48212 KB	Output is correct
82	Correct	21 ms	47444 KB	Output is correct
83	Correct	21 ms	47448 KB	Output is correct
84	Correct	22 ms	48244 KB	Output is correct
85	Correct	156 ms	75180 KB	Output is correct
86	Correct	23 ms	48220 KB	Output is correct
87	Correct	192 ms	74328 KB	Output is correct
88	Correct	20 ms	47452 KB	Output is correct
89	Correct	168 ms	73812 KB	Output is correct
90	Correct	161 ms	75056 KB	Output is correct
91	Correct	129 ms	76040 KB	Output is correct
92	Correct	151 ms	76348 KB	Output is correct
93	Correct	23 ms	48456 KB	Output is correct
94	Correct	21 ms	47452 KB	Output is correct
95	Correct	153 ms	79344 KB	Output is correct
96	Correct	144 ms	78676 KB	Output is correct
97	Correct	23 ms	48220 KB	Output is correct
98	Correct	22 ms	47420 KB	Output is correct
99	Correct	163 ms	75436 KB	Output is correct
100	Correct	23 ms	48476 KB	Output is correct
101	Correct	164 ms	74580 KB	Output is correct
102	Correct	139 ms	78356 KB	Output is correct
103	Correct	25 ms	48464 KB	Output is correct
104	Correct	22 ms	48464 KB	Output is correct
105	Correct	27 ms	48216 KB	Output is correct
106	Correct	23 ms	48476 KB	Output is correct
107	Correct	23 ms	48296 KB	Output is correct
108	Correct	1078 ms	187780 KB	Output is correct
109	Correct	2279 ms	191716 KB	Output is correct
110	Correct	2330 ms	200608 KB	Output is correct
111	Correct	1088 ms	207676 KB	Output is correct
112	Correct	2138 ms	204040 KB	Output is correct
113	Correct	1106 ms	207712 KB	Output is correct
114	Correct	1780 ms	180032 KB	Output is correct
115	Correct	1796 ms	179896 KB	Output is correct
116	Correct	1749 ms	185260 KB	Output is correct
117	Correct	856 ms	191312 KB	Output is correct
118	Correct	1584 ms	180696 KB	Output is correct
119	Correct	895 ms	191572 KB	Output is correct
120	Correct	950 ms	203920 KB	Output is correct
121	Correct	863 ms	192852 KB	Output is correct
122	Correct	1862 ms	188244 KB	Output is correct
123	Correct	911 ms	215896 KB	Output is correct
124	Correct	1049 ms	188408 KB	Output is correct

답안 #1014675

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