Submission #554742

# Submission time Handle Problem Language Result Execution time Memory
554742 2022-04-29T10:37:39 Z keta_tsimakuridze Capital City (JOI20_capital_city) C++17
100 / 100
1004 ms 46348 KB
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define f first
#define s second
#define endl "\n"
const int N = 2e5 + 5, mod = 1e9 + 7; //!
int t, sz[N], f[N], n, vis[N], c[N], ans, p[N], col[N];
int cnt[N];
vector<int> rem, x[N];
vector<int> V[N];
queue<int> q;
void dfs0(int u,int p) {
	sz[u] = 1;
	for(int i = 0; i < V[u].size(); i++) {
		if(V[u][i] == p || f[V[u][i]]) continue;
		dfs0(V[u][i], u);
		sz[u] += sz[V[u][i]];
	}
}
int find(int u, int p, int SZ) {
	for(int i = 0; i < V[u].size(); i++) {
		if(V[u][i] == p || f[V[u][i]]) continue;
		if(sz[V[u][i]] > SZ / 2) return find(V[u][i], u, SZ);
	}
	return u;
}
void dfs(int u,int C) {
	rem.push_back(c[u]);
	x[c[u]].push_back(u);
	for(int i = 0; i < V[u].size(); i++) {
		if(V[u][i] == p[u] || f[V[u][i]]) continue;
		p[V[u][i]] = u;
		dfs(V[u][i], C);
	}
}
void decompose(int U) {
	dfs0(U, 0);
	int C = find(U, 0, sz[U]);
	p[C] = 0;
	dfs(C, C);
	int cn = 0; 
	q.push(C);
	
	while(q.size()) {
		int u = q.front();
		q.pop();
		if(cnt[c[u]] != x[c[u]].size()) cn = n;
		if(vis[u] == C) continue;
		if(col[c[u]] != C) { 
			cn++;
			for(int j = 0; j < x[c[u]].size(); j++) {
				q.push(x[c[u]][j]);
			}
		}
		col[c[u]] = C; vis[u] = C;
		if(p[u]) q.push(p[u]); 
	}
	while(rem.size()) x[rem.back()].clear(), rem.pop_back();
	ans = min(ans, cn);
	f[C] = 1;
	for(int i = 0; i < V[C].size(); i++) {
		if(!f[V[C][i]]) decompose(V[C][i]);
	}
}
main() {
	ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
	int k;
	cin >> n >> k;
	for(int i = 2; i <= n; i++) {
		int u, v;
		cin >> u >> v;
		V[u].push_back(v);
		V[v].push_back(u);
	}
	
	for(int i = 1; i <= n; i++) cin >> c[i], cnt[c[i]]++;
	ans = k;
	decompose(1);
	cout << --ans;
}

Compilation message

capital_city.cpp: In function 'void dfs0(long long int, long long int)':
capital_city.cpp:16:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   16 |  for(int i = 0; i < V[u].size(); i++) {
      |                 ~~^~~~~~~~~~~~~
capital_city.cpp: In function 'long long int find(long long int, long long int, long long int)':
capital_city.cpp:23:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   23 |  for(int i = 0; i < V[u].size(); i++) {
      |                 ~~^~~~~~~~~~~~~
capital_city.cpp: In function 'void dfs(long long int, long long int)':
capital_city.cpp:32:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   32 |  for(int i = 0; i < V[u].size(); i++) {
      |                 ~~^~~~~~~~~~~~~
capital_city.cpp: In function 'void decompose(long long int)':
capital_city.cpp:49:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   49 |   if(cnt[c[u]] != x[c[u]].size()) cn = n;
      |      ~~~~~~~~~~^~~~~~~~~~~~~~~~~
capital_city.cpp:53:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |    for(int j = 0; j < x[c[u]].size(); j++) {
      |                   ~~^~~~~~~~~~~~~~~~
capital_city.cpp:63:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |  for(int i = 0; i < V[C].size(); i++) {
      |                 ~~^~~~~~~~~~~~~
capital_city.cpp: At global scope:
capital_city.cpp:67:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   67 | main() {
      | ^~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9688 KB Output is correct
2 Correct 5 ms 9732 KB Output is correct
3 Correct 6 ms 9692 KB Output is correct
4 Correct 5 ms 9728 KB Output is correct
5 Correct 6 ms 9652 KB Output is correct
6 Correct 5 ms 9696 KB Output is correct
7 Correct 5 ms 9736 KB Output is correct
8 Correct 6 ms 9688 KB Output is correct
9 Correct 6 ms 9684 KB Output is correct
10 Correct 6 ms 9728 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9688 KB Output is correct
2 Correct 5 ms 9732 KB Output is correct
3 Correct 6 ms 9692 KB Output is correct
4 Correct 5 ms 9728 KB Output is correct
5 Correct 6 ms 9652 KB Output is correct
6 Correct 5 ms 9696 KB Output is correct
7 Correct 5 ms 9736 KB Output is correct
8 Correct 6 ms 9688 KB Output is correct
9 Correct 6 ms 9684 KB Output is correct
10 Correct 6 ms 9728 KB Output is correct
11 Correct 9 ms 9940 KB Output is correct
12 Correct 11 ms 9988 KB Output is correct
13 Correct 8 ms 9940 KB Output is correct
14 Correct 8 ms 9924 KB Output is correct
15 Correct 9 ms 9940 KB Output is correct
16 Correct 8 ms 10012 KB Output is correct
17 Correct 7 ms 9992 KB Output is correct
18 Correct 7 ms 10000 KB Output is correct
19 Correct 6 ms 10044 KB Output is correct
20 Correct 7 ms 9996 KB Output is correct
21 Correct 8 ms 10120 KB Output is correct
22 Correct 7 ms 10068 KB Output is correct
23 Correct 10 ms 9992 KB Output is correct
24 Correct 7 ms 9940 KB Output is correct
25 Correct 9 ms 10000 KB Output is correct
26 Correct 9 ms 10068 KB Output is correct
27 Correct 9 ms 10068 KB Output is correct
28 Correct 8 ms 10056 KB Output is correct
29 Correct 7 ms 9992 KB Output is correct
30 Correct 9 ms 9996 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 842 ms 42348 KB Output is correct
2 Correct 211 ms 46244 KB Output is correct
3 Correct 819 ms 45524 KB Output is correct
4 Correct 233 ms 46196 KB Output is correct
5 Correct 823 ms 43224 KB Output is correct
6 Correct 229 ms 46160 KB Output is correct
7 Correct 807 ms 43500 KB Output is correct
8 Correct 232 ms 46136 KB Output is correct
9 Correct 987 ms 41872 KB Output is correct
10 Correct 970 ms 40256 KB Output is correct
11 Correct 940 ms 42360 KB Output is correct
12 Correct 954 ms 44408 KB Output is correct
13 Correct 961 ms 39628 KB Output is correct
14 Correct 1004 ms 44728 KB Output is correct
15 Correct 922 ms 44324 KB Output is correct
16 Correct 934 ms 40320 KB Output is correct
17 Correct 939 ms 40892 KB Output is correct
18 Correct 924 ms 40892 KB Output is correct
19 Correct 996 ms 43440 KB Output is correct
20 Correct 957 ms 45392 KB Output is correct
21 Correct 5 ms 9684 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9688 KB Output is correct
2 Correct 5 ms 9732 KB Output is correct
3 Correct 6 ms 9692 KB Output is correct
4 Correct 5 ms 9728 KB Output is correct
5 Correct 6 ms 9652 KB Output is correct
6 Correct 5 ms 9696 KB Output is correct
7 Correct 5 ms 9736 KB Output is correct
8 Correct 6 ms 9688 KB Output is correct
9 Correct 6 ms 9684 KB Output is correct
10 Correct 6 ms 9728 KB Output is correct
11 Correct 9 ms 9940 KB Output is correct
12 Correct 11 ms 9988 KB Output is correct
13 Correct 8 ms 9940 KB Output is correct
14 Correct 8 ms 9924 KB Output is correct
15 Correct 9 ms 9940 KB Output is correct
16 Correct 8 ms 10012 KB Output is correct
17 Correct 7 ms 9992 KB Output is correct
18 Correct 7 ms 10000 KB Output is correct
19 Correct 6 ms 10044 KB Output is correct
20 Correct 7 ms 9996 KB Output is correct
21 Correct 8 ms 10120 KB Output is correct
22 Correct 7 ms 10068 KB Output is correct
23 Correct 10 ms 9992 KB Output is correct
24 Correct 7 ms 9940 KB Output is correct
25 Correct 9 ms 10000 KB Output is correct
26 Correct 9 ms 10068 KB Output is correct
27 Correct 9 ms 10068 KB Output is correct
28 Correct 8 ms 10056 KB Output is correct
29 Correct 7 ms 9992 KB Output is correct
30 Correct 9 ms 9996 KB Output is correct
31 Correct 842 ms 42348 KB Output is correct
32 Correct 211 ms 46244 KB Output is correct
33 Correct 819 ms 45524 KB Output is correct
34 Correct 233 ms 46196 KB Output is correct
35 Correct 823 ms 43224 KB Output is correct
36 Correct 229 ms 46160 KB Output is correct
37 Correct 807 ms 43500 KB Output is correct
38 Correct 232 ms 46136 KB Output is correct
39 Correct 987 ms 41872 KB Output is correct
40 Correct 970 ms 40256 KB Output is correct
41 Correct 940 ms 42360 KB Output is correct
42 Correct 954 ms 44408 KB Output is correct
43 Correct 961 ms 39628 KB Output is correct
44 Correct 1004 ms 44728 KB Output is correct
45 Correct 922 ms 44324 KB Output is correct
46 Correct 934 ms 40320 KB Output is correct
47 Correct 939 ms 40892 KB Output is correct
48 Correct 924 ms 40892 KB Output is correct
49 Correct 996 ms 43440 KB Output is correct
50 Correct 957 ms 45392 KB Output is correct
51 Correct 5 ms 9684 KB Output is correct
52 Correct 615 ms 34248 KB Output is correct
53 Correct 625 ms 34336 KB Output is correct
54 Correct 574 ms 34300 KB Output is correct
55 Correct 655 ms 34320 KB Output is correct
56 Correct 572 ms 34292 KB Output is correct
57 Correct 618 ms 34232 KB Output is correct
58 Correct 601 ms 36804 KB Output is correct
59 Correct 559 ms 37180 KB Output is correct
60 Correct 737 ms 36276 KB Output is correct
61 Correct 777 ms 36060 KB Output is correct
62 Correct 209 ms 46216 KB Output is correct
63 Correct 222 ms 46348 KB Output is correct
64 Correct 253 ms 46192 KB Output is correct
65 Correct 204 ms 46132 KB Output is correct
66 Correct 480 ms 40076 KB Output is correct
67 Correct 420 ms 40016 KB Output is correct
68 Correct 423 ms 40116 KB Output is correct
69 Correct 429 ms 40096 KB Output is correct
70 Correct 423 ms 40176 KB Output is correct
71 Correct 416 ms 40064 KB Output is correct
72 Correct 420 ms 39992 KB Output is correct
73 Correct 439 ms 39828 KB Output is correct
74 Correct 422 ms 40120 KB Output is correct
75 Correct 432 ms 40000 KB Output is correct
76 Correct 731 ms 39840 KB Output is correct
77 Correct 635 ms 38308 KB Output is correct
78 Correct 867 ms 40660 KB Output is correct
79 Correct 874 ms 39096 KB Output is correct
80 Correct 873 ms 44984 KB Output is correct
81 Correct 856 ms 42108 KB Output is correct
82 Correct 891 ms 42168 KB Output is correct
83 Correct 884 ms 39536 KB Output is correct
84 Correct 911 ms 44192 KB Output is correct
85 Correct 904 ms 42996 KB Output is correct
86 Correct 881 ms 39208 KB Output is correct
87 Correct 881 ms 40524 KB Output is correct
88 Correct 751 ms 41840 KB Output is correct
89 Correct 743 ms 38800 KB Output is correct
90 Correct 792 ms 38764 KB Output is correct
91 Correct 768 ms 40756 KB Output is correct
92 Correct 802 ms 39224 KB Output is correct
93 Correct 836 ms 39324 KB Output is correct
94 Correct 774 ms 38800 KB Output is correct
95 Correct 791 ms 40184 KB Output is correct
96 Correct 788 ms 38732 KB Output is correct
97 Correct 763 ms 40512 KB Output is correct