#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, ss;
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() {
/*ifstream cin;
cin.open("input.txt");*/
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;
ss++;
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, mx = 0;
F0R(i, n) if (!vis[i]) {
rs.pb(i);
ss = 0;
preD(i, c);
mx = max(mx, ss);
c++;
}
//cout << "max size is " << mx << endl;
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] ]) {
if (valid[ ns[c] ]) vcnt--;
valid[ ns[c] ] = 0;
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++;
memset(vis, 0, sizeof vis);
for(const int &on : rs) {
int f = solve(on);
ans = min(ans, f);
}
//cout << vcnt << endl;
}
//cout << cc << endl;
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++)
......
96 | FOR(j, 1, group[i].size()) {
| ~~~~~~~~~~~~~~~~~~~~~
capital_city.cpp:96:9: note: in expansion of macro 'FOR'
96 | FOR(j, 1, group[i].size()) {
| ^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 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 |
9940 KB |
Output is correct |
5 |
Correct |
5 ms |
9940 KB |
Output is correct |
6 |
Correct |
6 ms |
9940 KB |
Output is correct |
7 |
Correct |
6 ms |
9940 KB |
Output is correct |
8 |
Correct |
5 ms |
9940 KB |
Output is correct |
9 |
Correct |
6 ms |
9872 KB |
Output is correct |
10 |
Correct |
6 ms |
9940 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 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 |
9940 KB |
Output is correct |
5 |
Correct |
5 ms |
9940 KB |
Output is correct |
6 |
Correct |
6 ms |
9940 KB |
Output is correct |
7 |
Correct |
6 ms |
9940 KB |
Output is correct |
8 |
Correct |
5 ms |
9940 KB |
Output is correct |
9 |
Correct |
6 ms |
9872 KB |
Output is correct |
10 |
Correct |
6 ms |
9940 KB |
Output is correct |
11 |
Correct |
6 ms |
10068 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 |
7 ms |
10068 KB |
Output is correct |
16 |
Correct |
7 ms |
10068 KB |
Output is correct |
17 |
Correct |
9 ms |
10220 KB |
Output is correct |
18 |
Correct |
7 ms |
10128 KB |
Output is correct |
19 |
Correct |
6 ms |
10068 KB |
Output is correct |
20 |
Correct |
9 ms |
10068 KB |
Output is correct |
21 |
Correct |
9 ms |
10068 KB |
Output is correct |
22 |
Correct |
7 ms |
10124 KB |
Output is correct |
23 |
Correct |
7 ms |
10068 KB |
Output is correct |
24 |
Correct |
8 ms |
10068 KB |
Output is correct |
25 |
Correct |
7 ms |
10120 KB |
Output is correct |
26 |
Correct |
7 ms |
10196 KB |
Output is correct |
27 |
Correct |
7 ms |
10120 KB |
Output is correct |
28 |
Correct |
6 ms |
10068 KB |
Output is correct |
29 |
Correct |
6 ms |
10120 KB |
Output is correct |
30 |
Correct |
7 ms |
10124 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
195 ms |
36320 KB |
Output is correct |
2 |
Correct |
94 ms |
36708 KB |
Output is correct |
3 |
Correct |
200 ms |
36080 KB |
Output is correct |
4 |
Correct |
110 ms |
36640 KB |
Output is correct |
5 |
Correct |
216 ms |
34792 KB |
Output is correct |
6 |
Correct |
109 ms |
37852 KB |
Output is correct |
7 |
Correct |
236 ms |
35044 KB |
Output is correct |
8 |
Correct |
112 ms |
40652 KB |
Output is correct |
9 |
Correct |
290 ms |
36660 KB |
Output is correct |
10 |
Correct |
317 ms |
34668 KB |
Output is correct |
11 |
Correct |
268 ms |
37060 KB |
Output is correct |
12 |
Correct |
344 ms |
39076 KB |
Output is correct |
13 |
Correct |
301 ms |
34380 KB |
Output is correct |
14 |
Correct |
336 ms |
39360 KB |
Output is correct |
15 |
Correct |
293 ms |
39112 KB |
Output is correct |
16 |
Correct |
324 ms |
35116 KB |
Output is correct |
17 |
Correct |
296 ms |
35520 KB |
Output is correct |
18 |
Correct |
307 ms |
32472 KB |
Output is correct |
19 |
Correct |
288 ms |
35048 KB |
Output is correct |
20 |
Correct |
332 ms |
36736 KB |
Output is correct |
21 |
Correct |
5 ms |
9936 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 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 |
9940 KB |
Output is correct |
5 |
Correct |
5 ms |
9940 KB |
Output is correct |
6 |
Correct |
6 ms |
9940 KB |
Output is correct |
7 |
Correct |
6 ms |
9940 KB |
Output is correct |
8 |
Correct |
5 ms |
9940 KB |
Output is correct |
9 |
Correct |
6 ms |
9872 KB |
Output is correct |
10 |
Correct |
6 ms |
9940 KB |
Output is correct |
11 |
Correct |
6 ms |
10068 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 |
7 ms |
10068 KB |
Output is correct |
16 |
Correct |
7 ms |
10068 KB |
Output is correct |
17 |
Correct |
9 ms |
10220 KB |
Output is correct |
18 |
Correct |
7 ms |
10128 KB |
Output is correct |
19 |
Correct |
6 ms |
10068 KB |
Output is correct |
20 |
Correct |
9 ms |
10068 KB |
Output is correct |
21 |
Correct |
9 ms |
10068 KB |
Output is correct |
22 |
Correct |
7 ms |
10124 KB |
Output is correct |
23 |
Correct |
7 ms |
10068 KB |
Output is correct |
24 |
Correct |
8 ms |
10068 KB |
Output is correct |
25 |
Correct |
7 ms |
10120 KB |
Output is correct |
26 |
Correct |
7 ms |
10196 KB |
Output is correct |
27 |
Correct |
7 ms |
10120 KB |
Output is correct |
28 |
Correct |
6 ms |
10068 KB |
Output is correct |
29 |
Correct |
6 ms |
10120 KB |
Output is correct |
30 |
Correct |
7 ms |
10124 KB |
Output is correct |
31 |
Correct |
195 ms |
36320 KB |
Output is correct |
32 |
Correct |
94 ms |
36708 KB |
Output is correct |
33 |
Correct |
200 ms |
36080 KB |
Output is correct |
34 |
Correct |
110 ms |
36640 KB |
Output is correct |
35 |
Correct |
216 ms |
34792 KB |
Output is correct |
36 |
Correct |
109 ms |
37852 KB |
Output is correct |
37 |
Correct |
236 ms |
35044 KB |
Output is correct |
38 |
Correct |
112 ms |
40652 KB |
Output is correct |
39 |
Correct |
290 ms |
36660 KB |
Output is correct |
40 |
Correct |
317 ms |
34668 KB |
Output is correct |
41 |
Correct |
268 ms |
37060 KB |
Output is correct |
42 |
Correct |
344 ms |
39076 KB |
Output is correct |
43 |
Correct |
301 ms |
34380 KB |
Output is correct |
44 |
Correct |
336 ms |
39360 KB |
Output is correct |
45 |
Correct |
293 ms |
39112 KB |
Output is correct |
46 |
Correct |
324 ms |
35116 KB |
Output is correct |
47 |
Correct |
296 ms |
35520 KB |
Output is correct |
48 |
Correct |
307 ms |
32472 KB |
Output is correct |
49 |
Correct |
288 ms |
35048 KB |
Output is correct |
50 |
Correct |
332 ms |
36736 KB |
Output is correct |
51 |
Correct |
5 ms |
9936 KB |
Output is correct |
52 |
Correct |
256 ms |
24040 KB |
Output is correct |
53 |
Correct |
262 ms |
23976 KB |
Output is correct |
54 |
Correct |
270 ms |
23960 KB |
Output is correct |
55 |
Correct |
293 ms |
23988 KB |
Output is correct |
56 |
Correct |
264 ms |
23980 KB |
Output is correct |
57 |
Correct |
276 ms |
24052 KB |
Output is correct |
58 |
Correct |
614 ms |
26908 KB |
Output is correct |
59 |
Correct |
612 ms |
30712 KB |
Output is correct |
60 |
Correct |
552 ms |
30144 KB |
Output is correct |
61 |
Correct |
549 ms |
30068 KB |
Output is correct |
62 |
Correct |
112 ms |
40256 KB |
Output is correct |
63 |
Correct |
124 ms |
40172 KB |
Output is correct |
64 |
Correct |
113 ms |
41212 KB |
Output is correct |
65 |
Correct |
112 ms |
41380 KB |
Output is correct |
66 |
Correct |
140 ms |
34408 KB |
Output is correct |
67 |
Correct |
170 ms |
34184 KB |
Output is correct |
68 |
Correct |
182 ms |
34380 KB |
Output is correct |
69 |
Correct |
176 ms |
34380 KB |
Output is correct |
70 |
Correct |
172 ms |
34316 KB |
Output is correct |
71 |
Correct |
158 ms |
34336 KB |
Output is correct |
72 |
Correct |
197 ms |
34320 KB |
Output is correct |
73 |
Correct |
165 ms |
33624 KB |
Output is correct |
74 |
Correct |
152 ms |
34308 KB |
Output is correct |
75 |
Correct |
196 ms |
34328 KB |
Output is correct |
76 |
Correct |
910 ms |
33448 KB |
Output is correct |
77 |
Correct |
843 ms |
31960 KB |
Output is correct |
78 |
Correct |
363 ms |
35756 KB |
Output is correct |
79 |
Correct |
297 ms |
34220 KB |
Output is correct |
80 |
Correct |
333 ms |
39852 KB |
Output is correct |
81 |
Correct |
328 ms |
36968 KB |
Output is correct |
82 |
Correct |
297 ms |
37208 KB |
Output is correct |
83 |
Correct |
332 ms |
34532 KB |
Output is correct |
84 |
Correct |
288 ms |
39252 KB |
Output is correct |
85 |
Correct |
332 ms |
37944 KB |
Output is correct |
86 |
Correct |
309 ms |
34116 KB |
Output is correct |
87 |
Correct |
270 ms |
35600 KB |
Output is correct |
88 |
Correct |
263 ms |
36612 KB |
Output is correct |
89 |
Correct |
233 ms |
33300 KB |
Output is correct |
90 |
Correct |
199 ms |
33072 KB |
Output is correct |
91 |
Correct |
270 ms |
34964 KB |
Output is correct |
92 |
Correct |
223 ms |
33924 KB |
Output is correct |
93 |
Correct |
224 ms |
33708 KB |
Output is correct |
94 |
Correct |
246 ms |
33224 KB |
Output is correct |
95 |
Correct |
225 ms |
34432 KB |
Output is correct |
96 |
Correct |
230 ms |
33400 KB |
Output is correct |
97 |
Correct |
225 ms |
34968 KB |
Output is correct |