/*************************************
* author: marvinthang *
* created: 05.12.2023 09:58:14 *
*************************************/
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i-- > 0; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
// end of template
void process(void) {
int n, k; cin >> n >> k;
vector <vector <int>> adj(n);
REP(i, n - 1) {
int u, v; cin >> u >> v; --u; --v;
adj[u].push_back(v);
adj[v].push_back(u);
}
vector <int> c(n);
vector <vector <int>> list_idx(k);
REP(i, n) {
cin >> c[i];
list_idx[--c[i]].push_back(i);
}
vector <bool> used(n), exist(k);
vector <int> sz(n), par(n), cnt(k);
function<void(int, int)> dfs_sz = [&] (int u, int par) {
sz[u] = 1;
exist[c[u]] = false;
cnt[c[u]] = 0;
for (int v: adj[u]) if (!used[v] && v != par) {
dfs_sz(v, u);
sz[u] += sz[v];
}
};
function<int(int, int, int)> find = [&] (int u, int par, int n) {
for (int v: adj[u]) if (!used[v] && v != par && sz[v] >= n / 2) return find(v, u, n);
return u;
};
int res = k - 1;
function<void(int)> solve = [&] (int u) {
dfs_sz(u, -1);
u = find(u, -1, sz[u]);
par[u] = -1;
function<void(int)> dfs = [&] (int u) {
++cnt[c[u]];
for (int v: adj[u]) if (!used[v] && v != par[u]) {
par[v] = u;
dfs(v);
}
};
dfs(u);
queue <int> q;
q.push(c[u]);
int cc = 0;
exist[c[u]] = true;
while (!q.empty()) {
int f = q.front(); q.pop();
if (cnt[f] != (int) list_idx[f].size()) {
cc = k;
break;
}
++cc;
for (int u: list_idx[f]) {
u = par[u];
if (u >= 0 && !exist[c[u]]) {
exist[c[u]] = true;
q.push(c[u]);
}
}
}
res = min(res, cc - 1);
used[u] = true;
for (int v: adj[u]) if (!used[v]) solve(v);
};
solve(0);
cout << res << '\n';
}
int main(void) {
ios_base::sync_with_stdio(false); cin.tie(nullptr); // cout.tie(nullptr);
file("JOI20_capital_city");
// int t; cin >> t; while (t--)
process();
// cerr << "Time elapsed: " << TIME << " s.\n";
return (0^0);
}
Compilation message
capital_city.cpp: In function 'int main()':
capital_city.cpp:30:61: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:116:2: note: in expansion of macro 'file'
116 | file("JOI20_capital_city");
| ^~~~
capital_city.cpp:30:94: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:116:2: note: in expansion of macro 'file'
116 | file("JOI20_capital_city");
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
604 KB |
Output is correct |
12 |
Correct |
2 ms |
604 KB |
Output is correct |
13 |
Correct |
2 ms |
600 KB |
Output is correct |
14 |
Correct |
2 ms |
604 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
2 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
588 KB |
Output is correct |
21 |
Correct |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
2 ms |
724 KB |
Output is correct |
23 |
Correct |
2 ms |
604 KB |
Output is correct |
24 |
Correct |
2 ms |
604 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
2 ms |
604 KB |
Output is correct |
27 |
Correct |
2 ms |
640 KB |
Output is correct |
28 |
Correct |
2 ms |
604 KB |
Output is correct |
29 |
Correct |
2 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
532 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
355 ms |
41632 KB |
Output is correct |
2 |
Correct |
181 ms |
42128 KB |
Output is correct |
3 |
Correct |
341 ms |
41044 KB |
Output is correct |
4 |
Correct |
175 ms |
42128 KB |
Output is correct |
5 |
Correct |
377 ms |
37400 KB |
Output is correct |
6 |
Correct |
184 ms |
42068 KB |
Output is correct |
7 |
Correct |
353 ms |
37408 KB |
Output is correct |
8 |
Correct |
178 ms |
41168 KB |
Output is correct |
9 |
Correct |
448 ms |
34708 KB |
Output is correct |
10 |
Correct |
392 ms |
31760 KB |
Output is correct |
11 |
Correct |
422 ms |
35276 KB |
Output is correct |
12 |
Correct |
409 ms |
38224 KB |
Output is correct |
13 |
Correct |
422 ms |
31052 KB |
Output is correct |
14 |
Correct |
398 ms |
38740 KB |
Output is correct |
15 |
Correct |
420 ms |
38224 KB |
Output is correct |
16 |
Correct |
456 ms |
32208 KB |
Output is correct |
17 |
Correct |
403 ms |
33016 KB |
Output is correct |
18 |
Correct |
392 ms |
33620 KB |
Output is correct |
19 |
Correct |
422 ms |
37032 KB |
Output is correct |
20 |
Correct |
410 ms |
39652 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
604 KB |
Output is correct |
12 |
Correct |
2 ms |
604 KB |
Output is correct |
13 |
Correct |
2 ms |
600 KB |
Output is correct |
14 |
Correct |
2 ms |
604 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
2 ms |
604 KB |
Output is correct |
17 |
Correct |
1 ms |
604 KB |
Output is correct |
18 |
Correct |
1 ms |
604 KB |
Output is correct |
19 |
Correct |
1 ms |
724 KB |
Output is correct |
20 |
Correct |
1 ms |
588 KB |
Output is correct |
21 |
Correct |
1 ms |
604 KB |
Output is correct |
22 |
Correct |
2 ms |
724 KB |
Output is correct |
23 |
Correct |
2 ms |
604 KB |
Output is correct |
24 |
Correct |
2 ms |
604 KB |
Output is correct |
25 |
Correct |
2 ms |
604 KB |
Output is correct |
26 |
Correct |
2 ms |
604 KB |
Output is correct |
27 |
Correct |
2 ms |
640 KB |
Output is correct |
28 |
Correct |
2 ms |
604 KB |
Output is correct |
29 |
Correct |
2 ms |
604 KB |
Output is correct |
30 |
Correct |
2 ms |
532 KB |
Output is correct |
31 |
Correct |
355 ms |
41632 KB |
Output is correct |
32 |
Correct |
181 ms |
42128 KB |
Output is correct |
33 |
Correct |
341 ms |
41044 KB |
Output is correct |
34 |
Correct |
175 ms |
42128 KB |
Output is correct |
35 |
Correct |
377 ms |
37400 KB |
Output is correct |
36 |
Correct |
184 ms |
42068 KB |
Output is correct |
37 |
Correct |
353 ms |
37408 KB |
Output is correct |
38 |
Correct |
178 ms |
41168 KB |
Output is correct |
39 |
Correct |
448 ms |
34708 KB |
Output is correct |
40 |
Correct |
392 ms |
31760 KB |
Output is correct |
41 |
Correct |
422 ms |
35276 KB |
Output is correct |
42 |
Correct |
409 ms |
38224 KB |
Output is correct |
43 |
Correct |
422 ms |
31052 KB |
Output is correct |
44 |
Correct |
398 ms |
38740 KB |
Output is correct |
45 |
Correct |
420 ms |
38224 KB |
Output is correct |
46 |
Correct |
456 ms |
32208 KB |
Output is correct |
47 |
Correct |
403 ms |
33016 KB |
Output is correct |
48 |
Correct |
392 ms |
33620 KB |
Output is correct |
49 |
Correct |
422 ms |
37032 KB |
Output is correct |
50 |
Correct |
410 ms |
39652 KB |
Output is correct |
51 |
Correct |
0 ms |
344 KB |
Output is correct |
52 |
Correct |
227 ms |
19516 KB |
Output is correct |
53 |
Correct |
237 ms |
19536 KB |
Output is correct |
54 |
Correct |
298 ms |
19520 KB |
Output is correct |
55 |
Correct |
297 ms |
19592 KB |
Output is correct |
56 |
Correct |
288 ms |
19572 KB |
Output is correct |
57 |
Correct |
295 ms |
19576 KB |
Output is correct |
58 |
Correct |
278 ms |
25392 KB |
Output is correct |
59 |
Correct |
280 ms |
25668 KB |
Output is correct |
60 |
Correct |
362 ms |
24912 KB |
Output is correct |
61 |
Correct |
323 ms |
24496 KB |
Output is correct |
62 |
Correct |
179 ms |
42068 KB |
Output is correct |
63 |
Correct |
181 ms |
42068 KB |
Output is correct |
64 |
Correct |
184 ms |
41436 KB |
Output is correct |
65 |
Correct |
184 ms |
42096 KB |
Output is correct |
66 |
Correct |
249 ms |
30460 KB |
Output is correct |
67 |
Correct |
212 ms |
30352 KB |
Output is correct |
68 |
Correct |
229 ms |
30944 KB |
Output is correct |
69 |
Correct |
259 ms |
30680 KB |
Output is correct |
70 |
Correct |
235 ms |
30456 KB |
Output is correct |
71 |
Correct |
249 ms |
30568 KB |
Output is correct |
72 |
Correct |
219 ms |
30408 KB |
Output is correct |
73 |
Correct |
219 ms |
29584 KB |
Output is correct |
74 |
Correct |
237 ms |
30664 KB |
Output is correct |
75 |
Correct |
232 ms |
30632 KB |
Output is correct |
76 |
Correct |
354 ms |
30156 KB |
Output is correct |
77 |
Correct |
335 ms |
27924 KB |
Output is correct |
78 |
Correct |
438 ms |
32772 KB |
Output is correct |
79 |
Correct |
440 ms |
30564 KB |
Output is correct |
80 |
Correct |
444 ms |
39184 KB |
Output is correct |
81 |
Correct |
443 ms |
34900 KB |
Output is correct |
82 |
Correct |
419 ms |
35068 KB |
Output is correct |
83 |
Correct |
435 ms |
30896 KB |
Output is correct |
84 |
Correct |
429 ms |
38088 KB |
Output is correct |
85 |
Correct |
421 ms |
36248 KB |
Output is correct |
86 |
Correct |
438 ms |
30568 KB |
Output is correct |
87 |
Correct |
421 ms |
32592 KB |
Output is correct |
88 |
Correct |
375 ms |
33864 KB |
Output is correct |
89 |
Correct |
356 ms |
29140 KB |
Output is correct |
90 |
Correct |
379 ms |
28948 KB |
Output is correct |
91 |
Correct |
353 ms |
31824 KB |
Output is correct |
92 |
Correct |
376 ms |
30232 KB |
Output is correct |
93 |
Correct |
405 ms |
29848 KB |
Output is correct |
94 |
Correct |
356 ms |
29068 KB |
Output is correct |
95 |
Correct |
366 ms |
30888 KB |
Output is correct |
96 |
Correct |
362 ms |
29268 KB |
Output is correct |
97 |
Correct |
357 ms |
31572 KB |
Output is correct |