#include <bits/stdc++.h>
#define FOR(i,x,n) for(int i=x; i<n; i++)
#define F0R(i,n) FOR(i,0,n)
#define ROF(i,x,n) for(int i=n-1; i>=x; i--)
#define R0F(i,n) ROF(i,0,n)
#define WTF cout << "WTF" << endl
#define IOS ios::sync_with_stdio(false); cin.tie(0)
#define F first
#define S second
#define pb push_back
#define ALL(x) x.begin(), x.end()
#define RALL(x) x.rbegin(), x.rend()
using namespace std;
typedef long long LL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef vector<int> VI;
typedef vector<LL> VLL;
typedef vector<PII> VPII;
typedef vector<PLL> VPLL;
const int N = 2e5 + 7;
const int ALPHA = 27;
const int INF = 1e9 + 7;
const int MOD = 1e9 + 7;
const int LOG = 22;
int n, k, vcnt;
int eset[N][2], ns[N];
int comp[N], par[N], sz[N];
bool valid[N], vis[N];
VI adj[N], rs, group[N];
void init() {
cin >> n >> k;
F0R(i, n - 1) {
cin >> eset[i][0] >> eset[i][1];
eset[i][0]--; eset[i][1]--;
}
F0R(i, n) {
cin >> ns[i];
ns[i]--;
group[ ns[i] ].pb(i);
}
fill(valid, valid + k, 1);
vcnt = k;
return;
}
void preD(int now, int c) {
vis[now] = 1;
comp[now] = c;
for(int on : adj[now]) if (!vis[on]) preD(on, c);
return;
}
bool buildGraph() {
F0R(i, n) adj[i].clear();
rs.clear();
F0R(i, n - 1) {
if (valid[ ns[ eset[i][0] ] ] && valid[ ns[ eset[i][1] ] ]) {
adj[ eset[i][0] ].pb(eset[i][1]);
adj[ eset[i][1] ].pb(eset[i][0]);
}
}
memset(vis, 0, sizeof vis);
int c = 0;
F0R(i, n) if (!vis[i]) {
rs.pb(i);
preD(i, c);
c++;
}
F0R(i, k) {
FOR(j, 1, group[i].size()) {
if (valid[i] && comp[ group[i][j] ] != comp[ group[i][j - 1] ]) {
vcnt--;
valid[i] = 0;
}
}
}
return 1;
}
int getSz(int now, int p) {
sz[now] = 1;
for(int on : adj[now]) if (on != p) sz[now] += getSz(on, now);
return sz[now];
}
int getCent(int now, int p, int s) {
for(int on : adj[now]) if (on != p)
if (sz[on] > (s / 2)) return getCent(on, now, s);
return now;
}
void getPar(int now, int p) {
par[now] = p;
for(int on : adj[now]) if (on != p) getPar(on, now);
return;
}
int solve(int root) {
getSz(root, -1);
int c = getCent(root, -1, sz[root]);
getPar(c, -1);
int ret = 0;
if (!valid[ ns[c] ]) return INF;
queue<int> keep;
keep.push(ns[c]);
assert(!vis[ ns[c] ]);
vis[ ns[c] ] = 1;
while(!keep.empty()) {
int now = keep.front();
keep.pop();
for(int on : group[now]) {
int p = par[on];
if (p == -1) continue;
if (!valid[ ns[p] ]) return INF;
if (!vis[ ns[p] ]) {
keep.push(ns[p]);
vis[ ns[p] ] = 1;
ret++;
}
}
}
if (valid[ ns[c] ]) vcnt--;
valid[ ns[c] ] = 0;
return ret;
}
int main() {
IOS;
init();
int ans = INF;
int cc = 0;
while(buildGraph() && vcnt) {
cc++;
assert(cc <= 1000);
memset(vis, 0, sizeof vis);
for(const int &on : rs)
ans = min(ans, solve(on));
}
cout << ans;
}
Compilation message
capital_city.cpp: In function 'bool buildGraph()':
capital_city.cpp:3:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
3 | #define FOR(i,x,n) for(int i=x; i<n; i++)
......
88 | FOR(j, 1, group[i].size()) {
| ~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:88:9: note: in expansion of macro 'FOR'
88 | FOR(j, 1, group[i].size()) {
| ^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
9940 KB |
Output is correct |
2 |
Correct |
5 ms |
9940 KB |
Output is correct |
3 |
Correct |
5 ms |
9940 KB |
Output is correct |
4 |
Correct |
5 ms |
9824 KB |
Output is correct |
5 |
Correct |
5 ms |
9940 KB |
Output is correct |
6 |
Correct |
5 ms |
9940 KB |
Output is correct |
7 |
Correct |
6 ms |
9940 KB |
Output is correct |
8 |
Correct |
7 ms |
9944 KB |
Output is correct |
9 |
Correct |
5 ms |
9940 KB |
Output is correct |
10 |
Correct |
5 ms |
9904 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
9940 KB |
Output is correct |
2 |
Correct |
5 ms |
9940 KB |
Output is correct |
3 |
Correct |
5 ms |
9940 KB |
Output is correct |
4 |
Correct |
5 ms |
9824 KB |
Output is correct |
5 |
Correct |
5 ms |
9940 KB |
Output is correct |
6 |
Correct |
5 ms |
9940 KB |
Output is correct |
7 |
Correct |
6 ms |
9940 KB |
Output is correct |
8 |
Correct |
7 ms |
9944 KB |
Output is correct |
9 |
Correct |
5 ms |
9940 KB |
Output is correct |
10 |
Correct |
5 ms |
9904 KB |
Output is correct |
11 |
Correct |
6 ms |
10028 KB |
Output is correct |
12 |
Correct |
6 ms |
10068 KB |
Output is correct |
13 |
Correct |
6 ms |
10068 KB |
Output is correct |
14 |
Correct |
6 ms |
10068 KB |
Output is correct |
15 |
Correct |
15 ms |
10068 KB |
Output is correct |
16 |
Correct |
10 ms |
10012 KB |
Output is correct |
17 |
Correct |
6 ms |
10068 KB |
Output is correct |
18 |
Correct |
6 ms |
10068 KB |
Output is correct |
19 |
Correct |
6 ms |
10068 KB |
Output is correct |
20 |
Correct |
6 ms |
10068 KB |
Output is correct |
21 |
Correct |
7 ms |
10068 KB |
Output is correct |
22 |
Correct |
6 ms |
10196 KB |
Output is correct |
23 |
Correct |
5 ms |
10068 KB |
Output is correct |
24 |
Correct |
25 ms |
10068 KB |
Output is correct |
25 |
Correct |
6 ms |
10068 KB |
Output is correct |
26 |
Correct |
6 ms |
10204 KB |
Output is correct |
27 |
Correct |
7 ms |
10088 KB |
Output is correct |
28 |
Correct |
6 ms |
10068 KB |
Output is correct |
29 |
Correct |
6 ms |
10036 KB |
Output is correct |
30 |
Correct |
7 ms |
10068 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
184 ms |
36160 KB |
Output is correct |
2 |
Correct |
89 ms |
36556 KB |
Output is correct |
3 |
Correct |
181 ms |
35916 KB |
Output is correct |
4 |
Correct |
89 ms |
36500 KB |
Output is correct |
5 |
Correct |
195 ms |
34696 KB |
Output is correct |
6 |
Correct |
100 ms |
37724 KB |
Output is correct |
7 |
Correct |
189 ms |
34860 KB |
Output is correct |
8 |
Correct |
102 ms |
37388 KB |
Output is correct |
9 |
Correct |
298 ms |
33256 KB |
Output is correct |
10 |
Correct |
298 ms |
31236 KB |
Output is correct |
11 |
Correct |
277 ms |
33576 KB |
Output is correct |
12 |
Correct |
282 ms |
35804 KB |
Output is correct |
13 |
Correct |
286 ms |
30988 KB |
Output is correct |
14 |
Correct |
378 ms |
35940 KB |
Output is correct |
15 |
Correct |
297 ms |
35780 KB |
Output is correct |
16 |
Correct |
326 ms |
31708 KB |
Output is correct |
17 |
Correct |
341 ms |
32140 KB |
Output is correct |
18 |
Correct |
282 ms |
32292 KB |
Output is correct |
19 |
Correct |
313 ms |
34932 KB |
Output is correct |
20 |
Correct |
322 ms |
36656 KB |
Output is correct |
21 |
Correct |
7 ms |
9940 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
9940 KB |
Output is correct |
2 |
Correct |
5 ms |
9940 KB |
Output is correct |
3 |
Correct |
5 ms |
9940 KB |
Output is correct |
4 |
Correct |
5 ms |
9824 KB |
Output is correct |
5 |
Correct |
5 ms |
9940 KB |
Output is correct |
6 |
Correct |
5 ms |
9940 KB |
Output is correct |
7 |
Correct |
6 ms |
9940 KB |
Output is correct |
8 |
Correct |
7 ms |
9944 KB |
Output is correct |
9 |
Correct |
5 ms |
9940 KB |
Output is correct |
10 |
Correct |
5 ms |
9904 KB |
Output is correct |
11 |
Correct |
6 ms |
10028 KB |
Output is correct |
12 |
Correct |
6 ms |
10068 KB |
Output is correct |
13 |
Correct |
6 ms |
10068 KB |
Output is correct |
14 |
Correct |
6 ms |
10068 KB |
Output is correct |
15 |
Correct |
15 ms |
10068 KB |
Output is correct |
16 |
Correct |
10 ms |
10012 KB |
Output is correct |
17 |
Correct |
6 ms |
10068 KB |
Output is correct |
18 |
Correct |
6 ms |
10068 KB |
Output is correct |
19 |
Correct |
6 ms |
10068 KB |
Output is correct |
20 |
Correct |
6 ms |
10068 KB |
Output is correct |
21 |
Correct |
7 ms |
10068 KB |
Output is correct |
22 |
Correct |
6 ms |
10196 KB |
Output is correct |
23 |
Correct |
5 ms |
10068 KB |
Output is correct |
24 |
Correct |
25 ms |
10068 KB |
Output is correct |
25 |
Correct |
6 ms |
10068 KB |
Output is correct |
26 |
Correct |
6 ms |
10204 KB |
Output is correct |
27 |
Correct |
7 ms |
10088 KB |
Output is correct |
28 |
Correct |
6 ms |
10068 KB |
Output is correct |
29 |
Correct |
6 ms |
10036 KB |
Output is correct |
30 |
Correct |
7 ms |
10068 KB |
Output is correct |
31 |
Correct |
184 ms |
36160 KB |
Output is correct |
32 |
Correct |
89 ms |
36556 KB |
Output is correct |
33 |
Correct |
181 ms |
35916 KB |
Output is correct |
34 |
Correct |
89 ms |
36500 KB |
Output is correct |
35 |
Correct |
195 ms |
34696 KB |
Output is correct |
36 |
Correct |
100 ms |
37724 KB |
Output is correct |
37 |
Correct |
189 ms |
34860 KB |
Output is correct |
38 |
Correct |
102 ms |
37388 KB |
Output is correct |
39 |
Correct |
298 ms |
33256 KB |
Output is correct |
40 |
Correct |
298 ms |
31236 KB |
Output is correct |
41 |
Correct |
277 ms |
33576 KB |
Output is correct |
42 |
Correct |
282 ms |
35804 KB |
Output is correct |
43 |
Correct |
286 ms |
30988 KB |
Output is correct |
44 |
Correct |
378 ms |
35940 KB |
Output is correct |
45 |
Correct |
297 ms |
35780 KB |
Output is correct |
46 |
Correct |
326 ms |
31708 KB |
Output is correct |
47 |
Correct |
341 ms |
32140 KB |
Output is correct |
48 |
Correct |
282 ms |
32292 KB |
Output is correct |
49 |
Correct |
313 ms |
34932 KB |
Output is correct |
50 |
Correct |
322 ms |
36656 KB |
Output is correct |
51 |
Correct |
7 ms |
9940 KB |
Output is correct |
52 |
Correct |
289 ms |
23588 KB |
Output is correct |
53 |
Correct |
285 ms |
23684 KB |
Output is correct |
54 |
Correct |
312 ms |
23576 KB |
Output is correct |
55 |
Correct |
258 ms |
23620 KB |
Output is correct |
56 |
Correct |
297 ms |
23580 KB |
Output is correct |
57 |
Correct |
295 ms |
23632 KB |
Output is correct |
58 |
Execution timed out |
3064 ms |
25988 KB |
Time limit exceeded |
59 |
Halted |
0 ms |
0 KB |
- |