#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define ll long long
#define pii pair<int, int>
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T> inline T range(T l, T r) {
return uniform_int_distribution <T>(l, r)(rng);
}
const int N = 2e5 + 15;
const int inf = 2e9;
const int mod = 1e9 + 7;
int n, m, k, a[N];
vector <int> g[N];
bool used[N];
int total[N], cnt[N];
int cl, sz[N], now, ans = inf;
int curp[N];
int q[N], ql, qr;
vector <int> ord[N];
struct dsu {
int par[N];
int find(int v) {
if(v == par[v])
return v;
return par[v] = find(par[v]);
}
bool unio(int a, int b) {
a = find(a);
b = find(b);
if(a == b)
return false;
if(range(0, 1))
swap(a, b);
par[b] = a;
return true;
}
} st;
void dfs_sz(int v, int p) {
sz[v] = 1;
st.par[a[v]] = a[v];
ord[a[v]].clear();
for(int to : g[v])
if(to != p && !used[to]) {
curp[to] = v;
dfs_sz(to, v);
sz[v] += sz[to];
}
}
int centroid(int v, int p, int n) {
for(int to : g[v])
if(to != p && !used[to] && 2 * sz[to] > n)
return centroid(to, v, n);
return v;
}
void calc(int v, int p) {
ord[a[v]].pb(v);
for(int to : g[v])
if(to != p && !used[to])
calc(to, v);
}
void solve(int c) {
curp[c] = -1;
used[c] = true;
dfs_sz(c, c);
calc(c, c);
ql = 0, qr = -1;
for(int x : ord[a[c]])
q[++qr] = x;
int cur = 0, now = 0;
while(ql <= qr) {
int v = q[ql++];
cur += (int)ord[a[v]].size() - total[a[v]];
// if(c == 2)
// cout << ord[a[v]].size() << ' ' << total[a[v]] << endl;
if(curp[v] == -1)
continue;
if(st.unio(a[curp[v]], a[v])) {
++now;
for(int x : ord[a[curp[v]]])
q[++qr] = x;
}
}
if(cur == 0 && now < ans)
ans = now;
for(int to : g[c])
if(!used[to])
solve(centroid(to, c, sz[to]));
}
main() {
ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0);
cin >> n >> k;
for(int i = 1; i < n; ++i){
int u, v;
cin >> u >> v;
g[u].pb(v);
g[v].pb(u);
}
for(int i = 1; i <= n; ++i) {
cin >> a[i];
++total[a[i]];
}
dfs_sz(1, 1);
solve(centroid(1, 1, n));
cout << ans << endl;
return 0;
}
Compilation message
capital_city.cpp:106:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main() {
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
9728 KB |
Output is correct |
2 |
Correct |
10 ms |
9728 KB |
Output is correct |
3 |
Correct |
10 ms |
9728 KB |
Output is correct |
4 |
Correct |
10 ms |
9728 KB |
Output is correct |
5 |
Correct |
10 ms |
9728 KB |
Output is correct |
6 |
Correct |
10 ms |
9728 KB |
Output is correct |
7 |
Correct |
10 ms |
9728 KB |
Output is correct |
8 |
Correct |
10 ms |
9728 KB |
Output is correct |
9 |
Correct |
10 ms |
9728 KB |
Output is correct |
10 |
Correct |
9 ms |
9728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
9728 KB |
Output is correct |
2 |
Correct |
10 ms |
9728 KB |
Output is correct |
3 |
Correct |
10 ms |
9728 KB |
Output is correct |
4 |
Correct |
10 ms |
9728 KB |
Output is correct |
5 |
Correct |
10 ms |
9728 KB |
Output is correct |
6 |
Correct |
10 ms |
9728 KB |
Output is correct |
7 |
Correct |
10 ms |
9728 KB |
Output is correct |
8 |
Correct |
10 ms |
9728 KB |
Output is correct |
9 |
Correct |
10 ms |
9728 KB |
Output is correct |
10 |
Correct |
9 ms |
9728 KB |
Output is correct |
11 |
Correct |
14 ms |
10112 KB |
Output is correct |
12 |
Correct |
11 ms |
9984 KB |
Output is correct |
13 |
Correct |
11 ms |
9856 KB |
Output is correct |
14 |
Correct |
12 ms |
9856 KB |
Output is correct |
15 |
Correct |
11 ms |
9984 KB |
Output is correct |
16 |
Correct |
11 ms |
9856 KB |
Output is correct |
17 |
Correct |
11 ms |
9984 KB |
Output is correct |
18 |
Correct |
11 ms |
9984 KB |
Output is correct |
19 |
Correct |
11 ms |
9984 KB |
Output is correct |
20 |
Correct |
11 ms |
9984 KB |
Output is correct |
21 |
Correct |
11 ms |
9984 KB |
Output is correct |
22 |
Correct |
11 ms |
10112 KB |
Output is correct |
23 |
Correct |
11 ms |
9984 KB |
Output is correct |
24 |
Correct |
12 ms |
9984 KB |
Output is correct |
25 |
Correct |
12 ms |
9984 KB |
Output is correct |
26 |
Correct |
13 ms |
9984 KB |
Output is correct |
27 |
Correct |
13 ms |
9984 KB |
Output is correct |
28 |
Correct |
12 ms |
9984 KB |
Output is correct |
29 |
Correct |
12 ms |
9984 KB |
Output is correct |
30 |
Correct |
12 ms |
9984 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
758 ms |
34680 KB |
Output is correct |
2 |
Correct |
232 ms |
34936 KB |
Output is correct |
3 |
Correct |
759 ms |
34324 KB |
Output is correct |
4 |
Correct |
236 ms |
35068 KB |
Output is correct |
5 |
Correct |
738 ms |
31972 KB |
Output is correct |
6 |
Correct |
238 ms |
34936 KB |
Output is correct |
7 |
Correct |
739 ms |
32328 KB |
Output is correct |
8 |
Correct |
230 ms |
34548 KB |
Output is correct |
9 |
Correct |
908 ms |
30712 KB |
Output is correct |
10 |
Correct |
890 ms |
28664 KB |
Output is correct |
11 |
Correct |
919 ms |
31096 KB |
Output is correct |
12 |
Correct |
910 ms |
33016 KB |
Output is correct |
13 |
Correct |
892 ms |
28408 KB |
Output is correct |
14 |
Correct |
915 ms |
33404 KB |
Output is correct |
15 |
Correct |
909 ms |
33144 KB |
Output is correct |
16 |
Correct |
901 ms |
29120 KB |
Output is correct |
17 |
Correct |
908 ms |
29560 KB |
Output is correct |
18 |
Correct |
893 ms |
29688 KB |
Output is correct |
19 |
Correct |
905 ms |
32248 KB |
Output is correct |
20 |
Correct |
928 ms |
34076 KB |
Output is correct |
21 |
Correct |
10 ms |
9728 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
9728 KB |
Output is correct |
2 |
Correct |
10 ms |
9728 KB |
Output is correct |
3 |
Correct |
10 ms |
9728 KB |
Output is correct |
4 |
Correct |
10 ms |
9728 KB |
Output is correct |
5 |
Correct |
10 ms |
9728 KB |
Output is correct |
6 |
Correct |
10 ms |
9728 KB |
Output is correct |
7 |
Correct |
10 ms |
9728 KB |
Output is correct |
8 |
Correct |
10 ms |
9728 KB |
Output is correct |
9 |
Correct |
10 ms |
9728 KB |
Output is correct |
10 |
Correct |
9 ms |
9728 KB |
Output is correct |
11 |
Correct |
14 ms |
10112 KB |
Output is correct |
12 |
Correct |
11 ms |
9984 KB |
Output is correct |
13 |
Correct |
11 ms |
9856 KB |
Output is correct |
14 |
Correct |
12 ms |
9856 KB |
Output is correct |
15 |
Correct |
11 ms |
9984 KB |
Output is correct |
16 |
Correct |
11 ms |
9856 KB |
Output is correct |
17 |
Correct |
11 ms |
9984 KB |
Output is correct |
18 |
Correct |
11 ms |
9984 KB |
Output is correct |
19 |
Correct |
11 ms |
9984 KB |
Output is correct |
20 |
Correct |
11 ms |
9984 KB |
Output is correct |
21 |
Correct |
11 ms |
9984 KB |
Output is correct |
22 |
Correct |
11 ms |
10112 KB |
Output is correct |
23 |
Correct |
11 ms |
9984 KB |
Output is correct |
24 |
Correct |
12 ms |
9984 KB |
Output is correct |
25 |
Correct |
12 ms |
9984 KB |
Output is correct |
26 |
Correct |
13 ms |
9984 KB |
Output is correct |
27 |
Correct |
13 ms |
9984 KB |
Output is correct |
28 |
Correct |
12 ms |
9984 KB |
Output is correct |
29 |
Correct |
12 ms |
9984 KB |
Output is correct |
30 |
Correct |
12 ms |
9984 KB |
Output is correct |
31 |
Correct |
758 ms |
34680 KB |
Output is correct |
32 |
Correct |
232 ms |
34936 KB |
Output is correct |
33 |
Correct |
759 ms |
34324 KB |
Output is correct |
34 |
Correct |
236 ms |
35068 KB |
Output is correct |
35 |
Correct |
738 ms |
31972 KB |
Output is correct |
36 |
Correct |
238 ms |
34936 KB |
Output is correct |
37 |
Correct |
739 ms |
32328 KB |
Output is correct |
38 |
Correct |
230 ms |
34548 KB |
Output is correct |
39 |
Correct |
908 ms |
30712 KB |
Output is correct |
40 |
Correct |
890 ms |
28664 KB |
Output is correct |
41 |
Correct |
919 ms |
31096 KB |
Output is correct |
42 |
Correct |
910 ms |
33016 KB |
Output is correct |
43 |
Correct |
892 ms |
28408 KB |
Output is correct |
44 |
Correct |
915 ms |
33404 KB |
Output is correct |
45 |
Correct |
909 ms |
33144 KB |
Output is correct |
46 |
Correct |
901 ms |
29120 KB |
Output is correct |
47 |
Correct |
908 ms |
29560 KB |
Output is correct |
48 |
Correct |
893 ms |
29688 KB |
Output is correct |
49 |
Correct |
905 ms |
32248 KB |
Output is correct |
50 |
Correct |
928 ms |
34076 KB |
Output is correct |
51 |
Correct |
10 ms |
9728 KB |
Output is correct |
52 |
Correct |
513 ms |
21240 KB |
Output is correct |
53 |
Correct |
576 ms |
21368 KB |
Output is correct |
54 |
Correct |
562 ms |
21240 KB |
Output is correct |
55 |
Correct |
572 ms |
21240 KB |
Output is correct |
56 |
Correct |
588 ms |
21484 KB |
Output is correct |
57 |
Correct |
562 ms |
21240 KB |
Output is correct |
58 |
Correct |
586 ms |
24056 KB |
Output is correct |
59 |
Correct |
557 ms |
24180 KB |
Output is correct |
60 |
Correct |
694 ms |
23800 KB |
Output is correct |
61 |
Correct |
770 ms |
23672 KB |
Output is correct |
62 |
Correct |
228 ms |
34936 KB |
Output is correct |
63 |
Correct |
231 ms |
34936 KB |
Output is correct |
64 |
Correct |
233 ms |
34936 KB |
Output is correct |
65 |
Correct |
222 ms |
34936 KB |
Output is correct |
66 |
Correct |
399 ms |
28396 KB |
Output is correct |
67 |
Correct |
410 ms |
28272 KB |
Output is correct |
68 |
Correct |
400 ms |
28528 KB |
Output is correct |
69 |
Correct |
393 ms |
28400 KB |
Output is correct |
70 |
Correct |
413 ms |
28528 KB |
Output is correct |
71 |
Correct |
392 ms |
28400 KB |
Output is correct |
72 |
Correct |
406 ms |
28528 KB |
Output is correct |
73 |
Correct |
425 ms |
27632 KB |
Output is correct |
74 |
Correct |
403 ms |
28524 KB |
Output is correct |
75 |
Correct |
403 ms |
28400 KB |
Output is correct |
76 |
Correct |
654 ms |
27256 KB |
Output is correct |
77 |
Correct |
622 ms |
25848 KB |
Output is correct |
78 |
Correct |
916 ms |
29432 KB |
Output is correct |
79 |
Correct |
905 ms |
27896 KB |
Output is correct |
80 |
Correct |
889 ms |
33656 KB |
Output is correct |
81 |
Correct |
908 ms |
30712 KB |
Output is correct |
82 |
Correct |
908 ms |
30840 KB |
Output is correct |
83 |
Correct |
909 ms |
28152 KB |
Output is correct |
84 |
Correct |
910 ms |
33016 KB |
Output is correct |
85 |
Correct |
939 ms |
31676 KB |
Output is correct |
86 |
Correct |
911 ms |
27896 KB |
Output is correct |
87 |
Correct |
906 ms |
29304 KB |
Output is correct |
88 |
Correct |
798 ms |
30072 KB |
Output is correct |
89 |
Correct |
792 ms |
26916 KB |
Output is correct |
90 |
Correct |
770 ms |
26616 KB |
Output is correct |
91 |
Correct |
753 ms |
28664 KB |
Output is correct |
92 |
Correct |
789 ms |
27576 KB |
Output is correct |
93 |
Correct |
776 ms |
27384 KB |
Output is correct |
94 |
Correct |
779 ms |
26936 KB |
Output is correct |
95 |
Correct |
806 ms |
28148 KB |
Output is correct |
96 |
Correct |
772 ms |
27128 KB |
Output is correct |
97 |
Correct |
767 ms |
28536 KB |
Output is correct |