#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
void print(long double t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T> void print(T v[],T n) {cerr << "["; for(int i = 0; i < n; i++) {cerr << v[i] << " ";} cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
long long ka() {
long long x = 0;
bool z = false;
while (1)
{
char y = getchar();
if (y == '-')
z = true;
else if ('0' <= y && y <= '9')
x = x * 10 + y - '0';
else
{
if (z)
x *= -1;
return x;
}
}
}
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 3e5 + 10;
vector<int> adj[N], qq[N];
bool used[N], vis[N], used_color[N];
int n, k, ans, compSize, cc[N];
int cnt_color[N], sz[N];
vector<int> use;
queue<int> q, qu;
int p[N];
void dfs(int node, int parent, bool flag) {
sz[node] = 1;
p[node] = parent;
if(flag) {
compSize++;
cnt_color[cc[node]]++;
if(cnt_color[cc[node]] == 1) {
use.push_back(cc[node]);
}
}
for(auto i: adj[node]) {
if(i == parent || used[i]) continue;
dfs(i, node, flag);
sz[node] += sz[i];
}
}
int get_centroid(int node, int parent) {
for(auto i: adj[node]) {
if(i == parent || used[i]) continue;
if(sz[i] * 2 > compSize) {
return get_centroid(i, node);
}
}
return node;
}
int centroid(int u) {
compSize = 0;
dfs(u, 0, true);
int pp = get_centroid(u, 0);
dfs(pp, 0, false);
return pp;
}
int curr;
void add_group(int group) {
curr++;
for(auto i: qq[group]) {
if(!vis[i]) {
qu.push(i);
}
}
used_color[group] = true;
}
void go_up(int node) {
if(vis[node]) {
return;
} else if(!used_color[cc[node]]) {
add_group(cc[node]);
}
vis[node] = true;
node = p[node];
go_up(node);
}
bool valid(int color) {
return cnt_color[color] == sz(qq[color]);
}
void centroid_depomposition() {
queue<int> q;
q.push(1);
while(!q.empty()) {
auto u = q.front();
q.pop();
int centr = centroid(u);
vector<int> nodes;
if(valid(cc[centr])) {
curr = 0;
vis[centr] = true;
add_group(cc[centr]);
int ok = 1;
while(!qu.empty()) {
auto u = qu.front();
nodes.push_back(u);
qu.pop();
if(!valid(cc[u])) {
ok = 0;
break;
}
go_up(u);
}
while(!qu.empty()) qu.pop();
if(ok) {
ans = min(ans, curr - 1);
}
}
for(auto i: use) {
cnt_color[i] = 0;
used_color[i] = 0;
}
use.clear();
for(auto i: nodes) {
vis[i] = false;
}
used[centr] = true;
for(auto i: adj[centr]) {
if(used[i]) continue;
q.push(i);
}
}
}
void solve_() {
cin >> n >> k;
for(int i = 1; i <= n - 1; i++) {
int a, b; cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for(int i = 1; i <= n; i++) {
int c; cin >> c;
cc[i] = c;
qq[c].push_back(i);
}
ans = k - 1;
centroid_depomposition();
cout << ans << '\n';
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message
capital_city.cpp: In function 'void setIO(std::string)':
capital_city.cpp:88:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
88 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:89:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
89 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 2 |
Correct |
7 ms |
14380 KB |
Output is correct |
| 3 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 4 |
Correct |
8 ms |
14456 KB |
Output is correct |
| 5 |
Correct |
9 ms |
14420 KB |
Output is correct |
| 6 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 7 |
Correct |
7 ms |
14360 KB |
Output is correct |
| 8 |
Correct |
8 ms |
14420 KB |
Output is correct |
| 9 |
Correct |
8 ms |
14420 KB |
Output is correct |
| 10 |
Correct |
7 ms |
14420 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 2 |
Correct |
7 ms |
14380 KB |
Output is correct |
| 3 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 4 |
Correct |
8 ms |
14456 KB |
Output is correct |
| 5 |
Correct |
9 ms |
14420 KB |
Output is correct |
| 6 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 7 |
Correct |
7 ms |
14360 KB |
Output is correct |
| 8 |
Correct |
8 ms |
14420 KB |
Output is correct |
| 9 |
Correct |
8 ms |
14420 KB |
Output is correct |
| 10 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 11 |
Correct |
9 ms |
14592 KB |
Output is correct |
| 12 |
Correct |
8 ms |
14548 KB |
Output is correct |
| 13 |
Correct |
8 ms |
14548 KB |
Output is correct |
| 14 |
Correct |
9 ms |
14548 KB |
Output is correct |
| 15 |
Incorrect |
9 ms |
14548 KB |
Output isn't correct |
| 16 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
586 ms |
42816 KB |
Output is correct |
| 2 |
Correct |
194 ms |
43276 KB |
Output is correct |
| 3 |
Correct |
588 ms |
42400 KB |
Output is correct |
| 4 |
Correct |
186 ms |
43176 KB |
Output is correct |
| 5 |
Correct |
518 ms |
39532 KB |
Output is correct |
| 6 |
Correct |
189 ms |
43160 KB |
Output is correct |
| 7 |
Correct |
500 ms |
39808 KB |
Output is correct |
| 8 |
Correct |
188 ms |
42624 KB |
Output is correct |
| 9 |
Incorrect |
2001 ms |
38488 KB |
Output isn't correct |
| 10 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 2 |
Correct |
7 ms |
14380 KB |
Output is correct |
| 3 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 4 |
Correct |
8 ms |
14456 KB |
Output is correct |
| 5 |
Correct |
9 ms |
14420 KB |
Output is correct |
| 6 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 7 |
Correct |
7 ms |
14360 KB |
Output is correct |
| 8 |
Correct |
8 ms |
14420 KB |
Output is correct |
| 9 |
Correct |
8 ms |
14420 KB |
Output is correct |
| 10 |
Correct |
7 ms |
14420 KB |
Output is correct |
| 11 |
Correct |
9 ms |
14592 KB |
Output is correct |
| 12 |
Correct |
8 ms |
14548 KB |
Output is correct |
| 13 |
Correct |
8 ms |
14548 KB |
Output is correct |
| 14 |
Correct |
9 ms |
14548 KB |
Output is correct |
| 15 |
Incorrect |
9 ms |
14548 KB |
Output isn't correct |
| 16 |
Halted |
0 ms |
0 KB |
- |
