#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 = 2e5 + 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;
}
bool valid(int color) {
return cnt_color[color] == sz(qq[color]);
}
int curr, ok = 1;
void add_group(int group) {
if(!valid(group)) {
ok = 0;
return;
}
curr++;
for(auto i: qq[group]) {
if(!vis[i]) {
qu.push(i);
}
}
used_color[group] = true;
}
vector<int> nodes;
void go_up(int node) {
if(vis[node]) {
return;
} else if(!used_color[cc[node]]) {
add_group(cc[node]);
}
nodes.push_back(node);
vis[node] = true;
node = p[node];
go_up(node);
}
void centroid_depomposition() {
queue<int> q;
q.push(1);
while(!q.empty()) {
auto u = q.front();
q.pop();
int centr = centroid(u);
if(valid(cc[centr])) {
curr = 0, ok = 1;
vis[centr] = true;
nodes.push_back(centr);
add_group(cc[centr]);
while(!qu.empty()) {
auto u = qu.front();
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;
}
for(auto i: nodes) {
vis[i] = false;
}
nodes.clear();
use.clear();
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);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
9684 KB |
Output is correct |
2 |
Correct |
8 ms |
9736 KB |
Output is correct |
3 |
Correct |
6 ms |
9684 KB |
Output is correct |
4 |
Correct |
6 ms |
9684 KB |
Output is correct |
5 |
Correct |
6 ms |
9684 KB |
Output is correct |
6 |
Correct |
8 ms |
9676 KB |
Output is correct |
7 |
Correct |
8 ms |
9740 KB |
Output is correct |
8 |
Correct |
6 ms |
9684 KB |
Output is correct |
9 |
Correct |
6 ms |
9740 KB |
Output is correct |
10 |
Correct |
5 ms |
9684 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
9684 KB |
Output is correct |
2 |
Correct |
8 ms |
9736 KB |
Output is correct |
3 |
Correct |
6 ms |
9684 KB |
Output is correct |
4 |
Correct |
6 ms |
9684 KB |
Output is correct |
5 |
Correct |
6 ms |
9684 KB |
Output is correct |
6 |
Correct |
8 ms |
9676 KB |
Output is correct |
7 |
Correct |
8 ms |
9740 KB |
Output is correct |
8 |
Correct |
6 ms |
9684 KB |
Output is correct |
9 |
Correct |
6 ms |
9740 KB |
Output is correct |
10 |
Correct |
5 ms |
9684 KB |
Output is correct |
11 |
Correct |
7 ms |
9808 KB |
Output is correct |
12 |
Correct |
7 ms |
9812 KB |
Output is correct |
13 |
Correct |
7 ms |
9812 KB |
Output is correct |
14 |
Correct |
8 ms |
9848 KB |
Output is correct |
15 |
Correct |
7 ms |
9940 KB |
Output is correct |
16 |
Correct |
7 ms |
9812 KB |
Output is correct |
17 |
Correct |
7 ms |
9940 KB |
Output is correct |
18 |
Correct |
8 ms |
9940 KB |
Output is correct |
19 |
Correct |
6 ms |
9928 KB |
Output is correct |
20 |
Correct |
7 ms |
9940 KB |
Output is correct |
21 |
Correct |
6 ms |
9880 KB |
Output is correct |
22 |
Correct |
7 ms |
10068 KB |
Output is correct |
23 |
Correct |
8 ms |
9888 KB |
Output is correct |
24 |
Correct |
7 ms |
9940 KB |
Output is correct |
25 |
Correct |
7 ms |
9940 KB |
Output is correct |
26 |
Correct |
11 ms |
10000 KB |
Output is correct |
27 |
Correct |
7 ms |
9940 KB |
Output is correct |
28 |
Correct |
7 ms |
9940 KB |
Output is correct |
29 |
Correct |
7 ms |
9940 KB |
Output is correct |
30 |
Correct |
8 ms |
9880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
626 ms |
38372 KB |
Output is correct |
2 |
Correct |
194 ms |
38956 KB |
Output is correct |
3 |
Correct |
622 ms |
38076 KB |
Output is correct |
4 |
Correct |
227 ms |
38852 KB |
Output is correct |
5 |
Correct |
654 ms |
35212 KB |
Output is correct |
6 |
Correct |
213 ms |
38768 KB |
Output is correct |
7 |
Correct |
723 ms |
35580 KB |
Output is correct |
8 |
Correct |
203 ms |
38488 KB |
Output is correct |
9 |
Correct |
736 ms |
33860 KB |
Output is correct |
10 |
Correct |
720 ms |
31444 KB |
Output is correct |
11 |
Correct |
733 ms |
34344 KB |
Output is correct |
12 |
Correct |
787 ms |
37028 KB |
Output is correct |
13 |
Correct |
771 ms |
31160 KB |
Output is correct |
14 |
Correct |
836 ms |
37456 KB |
Output is correct |
15 |
Correct |
752 ms |
37076 KB |
Output is correct |
16 |
Correct |
782 ms |
31876 KB |
Output is correct |
17 |
Correct |
818 ms |
32824 KB |
Output is correct |
18 |
Correct |
846 ms |
32724 KB |
Output is correct |
19 |
Correct |
772 ms |
35920 KB |
Output is correct |
20 |
Correct |
688 ms |
38012 KB |
Output is correct |
21 |
Correct |
6 ms |
9740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
9684 KB |
Output is correct |
2 |
Correct |
8 ms |
9736 KB |
Output is correct |
3 |
Correct |
6 ms |
9684 KB |
Output is correct |
4 |
Correct |
6 ms |
9684 KB |
Output is correct |
5 |
Correct |
6 ms |
9684 KB |
Output is correct |
6 |
Correct |
8 ms |
9676 KB |
Output is correct |
7 |
Correct |
8 ms |
9740 KB |
Output is correct |
8 |
Correct |
6 ms |
9684 KB |
Output is correct |
9 |
Correct |
6 ms |
9740 KB |
Output is correct |
10 |
Correct |
5 ms |
9684 KB |
Output is correct |
11 |
Correct |
7 ms |
9808 KB |
Output is correct |
12 |
Correct |
7 ms |
9812 KB |
Output is correct |
13 |
Correct |
7 ms |
9812 KB |
Output is correct |
14 |
Correct |
8 ms |
9848 KB |
Output is correct |
15 |
Correct |
7 ms |
9940 KB |
Output is correct |
16 |
Correct |
7 ms |
9812 KB |
Output is correct |
17 |
Correct |
7 ms |
9940 KB |
Output is correct |
18 |
Correct |
8 ms |
9940 KB |
Output is correct |
19 |
Correct |
6 ms |
9928 KB |
Output is correct |
20 |
Correct |
7 ms |
9940 KB |
Output is correct |
21 |
Correct |
6 ms |
9880 KB |
Output is correct |
22 |
Correct |
7 ms |
10068 KB |
Output is correct |
23 |
Correct |
8 ms |
9888 KB |
Output is correct |
24 |
Correct |
7 ms |
9940 KB |
Output is correct |
25 |
Correct |
7 ms |
9940 KB |
Output is correct |
26 |
Correct |
11 ms |
10000 KB |
Output is correct |
27 |
Correct |
7 ms |
9940 KB |
Output is correct |
28 |
Correct |
7 ms |
9940 KB |
Output is correct |
29 |
Correct |
7 ms |
9940 KB |
Output is correct |
30 |
Correct |
8 ms |
9880 KB |
Output is correct |
31 |
Correct |
626 ms |
38372 KB |
Output is correct |
32 |
Correct |
194 ms |
38956 KB |
Output is correct |
33 |
Correct |
622 ms |
38076 KB |
Output is correct |
34 |
Correct |
227 ms |
38852 KB |
Output is correct |
35 |
Correct |
654 ms |
35212 KB |
Output is correct |
36 |
Correct |
213 ms |
38768 KB |
Output is correct |
37 |
Correct |
723 ms |
35580 KB |
Output is correct |
38 |
Correct |
203 ms |
38488 KB |
Output is correct |
39 |
Correct |
736 ms |
33860 KB |
Output is correct |
40 |
Correct |
720 ms |
31444 KB |
Output is correct |
41 |
Correct |
733 ms |
34344 KB |
Output is correct |
42 |
Correct |
787 ms |
37028 KB |
Output is correct |
43 |
Correct |
771 ms |
31160 KB |
Output is correct |
44 |
Correct |
836 ms |
37456 KB |
Output is correct |
45 |
Correct |
752 ms |
37076 KB |
Output is correct |
46 |
Correct |
782 ms |
31876 KB |
Output is correct |
47 |
Correct |
818 ms |
32824 KB |
Output is correct |
48 |
Correct |
846 ms |
32724 KB |
Output is correct |
49 |
Correct |
772 ms |
35920 KB |
Output is correct |
50 |
Correct |
688 ms |
38012 KB |
Output is correct |
51 |
Correct |
6 ms |
9740 KB |
Output is correct |
52 |
Correct |
573 ms |
22444 KB |
Output is correct |
53 |
Correct |
534 ms |
22536 KB |
Output is correct |
54 |
Correct |
519 ms |
22516 KB |
Output is correct |
55 |
Correct |
598 ms |
22480 KB |
Output is correct |
56 |
Correct |
548 ms |
22468 KB |
Output is correct |
57 |
Correct |
576 ms |
22468 KB |
Output is correct |
58 |
Correct |
560 ms |
25696 KB |
Output is correct |
59 |
Correct |
548 ms |
25700 KB |
Output is correct |
60 |
Correct |
616 ms |
25012 KB |
Output is correct |
61 |
Correct |
800 ms |
24704 KB |
Output is correct |
62 |
Correct |
228 ms |
38808 KB |
Output is correct |
63 |
Correct |
217 ms |
38872 KB |
Output is correct |
64 |
Correct |
220 ms |
38588 KB |
Output is correct |
65 |
Correct |
211 ms |
38796 KB |
Output is correct |
66 |
Correct |
360 ms |
30660 KB |
Output is correct |
67 |
Correct |
380 ms |
30592 KB |
Output is correct |
68 |
Correct |
374 ms |
30672 KB |
Output is correct |
69 |
Correct |
353 ms |
30588 KB |
Output is correct |
70 |
Correct |
371 ms |
30676 KB |
Output is correct |
71 |
Correct |
401 ms |
30632 KB |
Output is correct |
72 |
Correct |
430 ms |
30672 KB |
Output is correct |
73 |
Correct |
382 ms |
29724 KB |
Output is correct |
74 |
Correct |
351 ms |
30708 KB |
Output is correct |
75 |
Correct |
409 ms |
30684 KB |
Output is correct |
76 |
Correct |
680 ms |
29336 KB |
Output is correct |
77 |
Correct |
665 ms |
27380 KB |
Output is correct |
78 |
Correct |
763 ms |
32424 KB |
Output is correct |
79 |
Correct |
726 ms |
30472 KB |
Output is correct |
80 |
Correct |
710 ms |
37956 KB |
Output is correct |
81 |
Correct |
794 ms |
34132 KB |
Output is correct |
82 |
Correct |
701 ms |
34112 KB |
Output is correct |
83 |
Correct |
707 ms |
30768 KB |
Output is correct |
84 |
Correct |
799 ms |
36776 KB |
Output is correct |
85 |
Correct |
777 ms |
35112 KB |
Output is correct |
86 |
Correct |
765 ms |
30308 KB |
Output is correct |
87 |
Correct |
764 ms |
32232 KB |
Output is correct |
88 |
Correct |
719 ms |
33168 KB |
Output is correct |
89 |
Correct |
635 ms |
29112 KB |
Output is correct |
90 |
Correct |
634 ms |
29064 KB |
Output is correct |
91 |
Correct |
613 ms |
31364 KB |
Output is correct |
92 |
Correct |
683 ms |
29956 KB |
Output is correct |
93 |
Correct |
601 ms |
29900 KB |
Output is correct |
94 |
Correct |
664 ms |
29172 KB |
Output is correct |
95 |
Correct |
622 ms |
30668 KB |
Output is correct |
96 |
Correct |
589 ms |
29384 KB |
Output is correct |
97 |
Correct |
557 ms |
31556 KB |
Output is correct |