oj.uz

Submission #750360

# Submission time Handle Problem Language Result Execution time Memory
750360 2023-05-29T12:32:59 Z Dan4Life Capital City (JOI20_capital_city) C++17
100 / 100
 2575 ms 35380 KB 
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
const int mxN = (int)2e5+2;

int n, m, ans = mxN;
vector<int> adj[mxN], v[mxN];
int C[mxN], sub[mxN], p[mxN], vis[mxN], vis2[mxN];

int getSub(int s, int par){
	sub[s] = 1; p[s]=par;
	for(auto u : adj[s])
		if(u!=par and !vis[u]) 
			sub[s]+=getSub(u,s);
	return sub[s];
}

int findCen(int s, int p, int n){
	for(auto u : adj[s])
		if(u!=p and !vis[u] and sub[u]>n/2)
			return findCen(u,s,n);
	return s;
}

void dfs(int s, int par, bool ok){
	p[s] = ok?par:-1;
	if(ok) vis2[C[s]]=0;
	for(auto u : adj[s])
		if(u!=par and !vis[u]) dfs(u,s,ok);
}

void cenDec(int cen, int par){
	cen = findCen(cen,par,getSub(cen,cen)); 
	dfs(cen,cen,1); vis[cen]=vis2[C[cen]]=1;
	queue<int> Q = queue<int>();
	bool ok = 1; int cnt = 0;
	for(auto u : v[C[cen]]){
		if(ok and p[u]>=0) Q.push(u);
		else ok=0;
	}
	while(!Q.empty() and ok){
		auto a = Q.front(); Q.pop();
		int CP = C[p[a]];
		if(!vis2[CP]){
			for(auto u : v[CP]){
				if(ok and p[u]>=0) Q.push(u);
				else ok=0;
			}
			if(ok) vis2[CP]=1; cnt++;
		}
	}
	if(ok) ans = min(ans, cnt);
	dfs(cen,cen,0);
	for(auto u : adj[cen])
		if(u!=par and !vis[u]) cenDec(u,cen);
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(0);
	cin >> n >> m; 
	for(int i = 1; i < n; i++){
		int a, b; cin >> a >> b;
		adj[a].pb(b), adj[b].pb(a);
	}
	for(int i = 1; i <= n; i++) 
		cin >> C[i], v[C[i]].pb(i);
	cenDec(1,-1); cout << ans << "\n";
}

Compilation message

capital_city.cpp: In function 'void cenDec(int, int)':
capital_city.cpp:49:4: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
   49 |    if(ok) vis2[CP]=1; cnt++;
      |    ^~
capital_city.cpp:49:23: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
   49 |    if(ok) vis2[CP]=1; cnt++;
      |                       ^~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9724 KB Output is correct
3 Correct 6 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 7 ms 9684 KB Output is correct
6 Correct 6 ms 9696 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9744 KB Output is correct
9 Correct 5 ms 9748 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9724 KB Output is correct
3 Correct 6 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 7 ms 9684 KB Output is correct
6 Correct 6 ms 9696 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9744 KB Output is correct
9 Correct 5 ms 9748 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 7 ms 9812 KB Output is correct
12 Correct 7 ms 9812 KB Output is correct
13 Correct 7 ms 9784 KB Output is correct
14 Correct 8 ms 9812 KB Output is correct
15 Correct 7 ms 9908 KB Output is correct
16 Correct 7 ms 9812 KB Output is correct
17 Correct 7 ms 9796 KB Output is correct
18 Correct 6 ms 9812 KB Output is correct
19 Correct 7 ms 9812 KB Output is correct
20 Correct 7 ms 9932 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 7 ms 9940 KB Output is correct
23 Correct 7 ms 9940 KB Output is correct
24 Correct 7 ms 9812 KB Output is correct
25 Correct 7 ms 9940 KB Output is correct
26 Correct 8 ms 9940 KB Output is correct
27 Correct 8 ms 9940 KB Output is correct
28 Correct 10 ms 9940 KB Output is correct
29 Correct 9 ms 9812 KB Output is correct
30 Correct 8 ms 9812 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 582 ms 34856 KB Output is correct
2 Correct 219 ms 35292 KB Output is correct
3 Correct 622 ms 34448 KB Output is correct
4 Correct 200 ms 35380 KB Output is correct
5 Correct 590 ms 32064 KB Output is correct
6 Correct 212 ms 35228 KB Output is correct
7 Correct 747 ms 32332 KB Output is correct
8 Correct 474 ms 34932 KB Output is correct
9 Correct 964 ms 30836 KB Output is correct
10 Correct 1024 ms 28780 KB Output is correct
11 Correct 945 ms 31076 KB Output is correct
12 Correct 916 ms 33368 KB Output is correct
13 Correct 876 ms 28504 KB Output is correct
14 Correct 991 ms 33576 KB Output is correct
15 Correct 905 ms 33096 KB Output is correct
16 Correct 988 ms 29060 KB Output is correct
17 Correct 899 ms 29776 KB Output is correct
18 Correct 994 ms 29828 KB Output is correct
19 Correct 924 ms 32232 KB Output is correct
20 Correct 1319 ms 34132 KB Output is correct
21 Correct 6 ms 9684 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9724 KB Output is correct
3 Correct 6 ms 9684 KB Output is correct
4 Correct 5 ms 9684 KB Output is correct
5 Correct 7 ms 9684 KB Output is correct
6 Correct 6 ms 9696 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 5 ms 9744 KB Output is correct
9 Correct 5 ms 9748 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 7 ms 9812 KB Output is correct
12 Correct 7 ms 9812 KB Output is correct
13 Correct 7 ms 9784 KB Output is correct
14 Correct 8 ms 9812 KB Output is correct
15 Correct 7 ms 9908 KB Output is correct
16 Correct 7 ms 9812 KB Output is correct
17 Correct 7 ms 9796 KB Output is correct
18 Correct 6 ms 9812 KB Output is correct
19 Correct 7 ms 9812 KB Output is correct
20 Correct 7 ms 9932 KB Output is correct
21 Correct 6 ms 9812 KB Output is correct
22 Correct 7 ms 9940 KB Output is correct
23 Correct 7 ms 9940 KB Output is correct
24 Correct 7 ms 9812 KB Output is correct
25 Correct 7 ms 9940 KB Output is correct
26 Correct 8 ms 9940 KB Output is correct
27 Correct 8 ms 9940 KB Output is correct
28 Correct 10 ms 9940 KB Output is correct
29 Correct 9 ms 9812 KB Output is correct
30 Correct 8 ms 9812 KB Output is correct
31 Correct 582 ms 34856 KB Output is correct
32 Correct 219 ms 35292 KB Output is correct
33 Correct 622 ms 34448 KB Output is correct
34 Correct 200 ms 35380 KB Output is correct
35 Correct 590 ms 32064 KB Output is correct
36 Correct 212 ms 35228 KB Output is correct
37 Correct 747 ms 32332 KB Output is correct
38 Correct 474 ms 34932 KB Output is correct
39 Correct 964 ms 30836 KB Output is correct
40 Correct 1024 ms 28780 KB Output is correct
41 Correct 945 ms 31076 KB Output is correct
42 Correct 916 ms 33368 KB Output is correct
43 Correct 876 ms 28504 KB Output is correct
44 Correct 991 ms 33576 KB Output is correct
45 Correct 905 ms 33096 KB Output is correct
46 Correct 988 ms 29060 KB Output is correct
47 Correct 899 ms 29776 KB Output is correct
48 Correct 994 ms 29828 KB Output is correct
49 Correct 924 ms 32232 KB Output is correct
50 Correct 1319 ms 34132 KB Output is correct
51 Correct 6 ms 9684 KB Output is correct
52 Correct 509 ms 21496 KB Output is correct
53 Correct 530 ms 21492 KB Output is correct
54 Correct 484 ms 21500 KB Output is correct
55 Correct 478 ms 21512 KB Output is correct
56 Correct 503 ms 21604 KB Output is correct
57 Correct 479 ms 21508 KB Output is correct
58 Correct 411 ms 24064 KB Output is correct
59 Correct 432 ms 24384 KB Output is correct
60 Correct 509 ms 23880 KB Output is correct
61 Correct 601 ms 23672 KB Output is correct
62 Correct 238 ms 35092 KB Output is correct
63 Correct 197 ms 35028 KB Output is correct
64 Correct 365 ms 34844 KB Output is correct
65 Correct 199 ms 35244 KB Output is correct
66 Correct 2575 ms 28376 KB Output is correct
67 Correct 2308 ms 28384 KB Output is correct
68 Correct 2342 ms 28436 KB Output is correct
69 Correct 2360 ms 28340 KB Output is correct
70 Correct 2497 ms 28336 KB Output is correct
71 Correct 2537 ms 28340 KB Output is correct
72 Correct 2498 ms 28372 KB Output is correct
73 Correct 2423 ms 27628 KB Output is correct
74 Correct 2464 ms 28404 KB Output is correct
75 Correct 2308 ms 28228 KB Output is correct
76 Correct 540 ms 27280 KB Output is correct
77 Correct 513 ms 25612 KB Output is correct
78 Correct 792 ms 29644 KB Output is correct
79 Correct 880 ms 27980 KB Output is correct
80 Correct 1117 ms 33708 KB Output is correct
81 Correct 925 ms 31052 KB Output is correct
82 Correct 843 ms 31004 KB Output is correct
83 Correct 915 ms 28288 KB Output is correct
84 Correct 753 ms 32976 KB Output is correct
85 Correct 883 ms 31696 KB Output is correct
86 Correct 862 ms 27888 KB Output is correct
87 Correct 923 ms 29412 KB Output is correct
88 Correct 669 ms 30192 KB Output is correct
89 Correct 811 ms 27072 KB Output is correct
90 Correct 1108 ms 26968 KB Output is correct
91 Correct 954 ms 28876 KB Output is correct
92 Correct 698 ms 27800 KB Output is correct
93 Correct 841 ms 27536 KB Output is correct
94 Correct 804 ms 27072 KB Output is correct
95 Correct 806 ms 28224 KB Output is correct
96 Correct 686 ms 27044 KB Output is correct
97 Correct 793 ms 28812 KB Output is correct