// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
#pragma GCC optimize("O3")
//(UNCOMMENT WHEN HAVING LOTS OF RECURSIONS)\
#pragma comment(linker, "/stack:200000000")
//(UNCOMMENT WHEN NEEDED)\
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math")\
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
// -------------------</optimizations>--------------------
// ---------------<Headers and namespaces>----------------
#include <algorithm>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <ratio>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
*/
// ---------------</Headers and namespaces>---------------
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define ITR :: iterator it
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define TR(container,it) for(typeof(container.begin()) it=container.begin();it!=container.end();it++)
#define sqr(x) ((x)*(x))
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
#define FLSH fflush(stdout)
#define fileIO(name) \
freopen(name".in", "r", stdin); \
freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x);
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// ----------------</Defines and typedefs>----------------
// -------------------<Debugging stuff>-------------------
#define TRACE
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
const char* comma = strchr(names + 1, ',');cerr.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
// ------------------</Debugging stuff>-------------------
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
// ------------------------</RNG>-------------------------
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
const int FACSZ = 1; // Make sure to change this
int fact[FACSZ],ifact[FACSZ];
void precom(int c = MOD){
fact[0] = 1;
FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
REPD(i,FACSZ-1){
ifact[i] = mul(i+1,ifact[i+1],c);
}
}
int ncr(int n,int r,int c = MOD){
return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
}
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
void solvethetestcase();
signed main(){
// (UNCOMMENT FOR CIN/COUT) \
FAST_IO
PRECISION(10)
int t = 1;
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
sfl(t);
FOR(testcase,1,t+1){
// (UNCOMMENT FOR CODEJAM) \
printf("Case #%lld: ",testcase);
solvethetestcase();
}
}
int n,k;
vi adj[200005];
int c[200005];
vi gg[200005];
vi dirg[200005];
vi revg[200005];
int cnt[200005];
int par[200005],dep[200005];
int tim;
int lft[200005],rgt[200005];
void dfs(int u,int p,int d = 0){
par[u] = p;
lft[u] = tim;
tim++;
dep[u] = d;
for(auto v:adj[u]){
if(v == p) continue;
dfs(v,u,d+1);
}
rgt[u] = tim;
}
void dfstest(int u,int col){
cnt[u] = 0;
if(c[u] == col) cnt[u]++;
for(auto v:adj[u]){
if(v == par[u]) continue;
dfstest(v,col);
cnt[u] += cnt[v];
}
}
bitset<200005> vis;
vi order;
void dirdfs(int u){
vis[u] = 1;
for(auto v:dirg[u]){
if(!vis[v]) dirdfs(v);
}
order.pb(u);
}
vi sizes;
int comp[200005];
int compnum,compcnt;
void dirdfs2(int u){
vis[u] = 1;
compcnt++;
comp[u] = compnum;
for(auto v:revg[u]){
if(!vis[v]) dirdfs2(v);
}
}
void solvethetestcase(){
sfl2(n,k)
REP(i,n-1){
int u,v;
sfl2(u,v)
adj[u].pb(v);
adj[v].pb(u);
}
FOR(i,1,n+1){
sfl(c[i])
gg[c[i]].pb(i);
}
tim = 0;
dfs(1,1);
// FOR(i,1,n+1){
// trace(i,lft[i],rgt[i]);
// }
FOR(i,1,k+1){
dfstest(1,i);
vi mkc1,mkc2;
int lowd = -1;
for(auto x:gg[i]){
if(cnt[1] == cnt[x]) mkc1.pb(x);
if(lowd == -1 or dep[lowd] > dep[x]) lowd = x;
}
bool f = 1;
for(auto x:gg[i]){
if(x >= lft[lowd] and x < rgt[lowd]) continue;
f = 0;
break;
}
if(f) mkc2.pb(lowd);
assert(mkc1 == mkc2);
for(auto x:gg[i]){
if(x != lowd or f == 0){
if(c[par[x]] != i){
dirg[i].pb(c[par[x]]);
revg[c[par[x]]].pb(i);
}
}
}
}
FOR(i,1,k+1){
if(!vis[i]) dirdfs(i);
}
reverse(all(order));
vis.reset();
compnum = 0;
for(auto u:order){
compcnt = 0;
if(vis[u]) continue;
dirdfs2(u);
compnum++;
sizes.pb(compcnt);
}
FOR(i,1,k+1){
for(auto v:dirg[i]){
if(comp[v] == comp[i]) continue;
sizes[comp[i]] = INF;
break;
}
}
int ans = INF;
for(auto x:sizes) remin(ans,x);
pfl(ans-1)
}
/*
6 3
2 1
3 5
6 2
3 4
2 3
1 3 1 2 3 2
8 4
4 1
1 3
3 6
6 7
7 2
2 5
5 8
2 4 3 1 1 2 3 4
12 4
7 9
1 3
4 6
2 4
10 12
1 2
2 10
11 1
2 8
5 3
6 7
3 1 1 2 4 3 3 2 2 3 4 4
*/
Compilation message
capital_city.cpp:4:1: warning: multi-line comment [-Wcomment]
//(UNCOMMENT WHEN HAVING LOTS OF RECURSIONS)\
^
capital_city.cpp:6:1: warning: multi-line comment [-Wcomment]
//(UNCOMMENT WHEN NEEDED)\
^
capital_city.cpp:56:1: warning: multi-line comment [-Wcomment]
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
^
capital_city.cpp:212:2: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CIN/COUT) \
^
capital_city.cpp:217:2: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR MULTIPLE TEST CASES) \
^
capital_city.cpp:220:3: warning: multi-line comment [-Wcomment]
// (UNCOMMENT FOR CODEJAM) \
^
capital_city.cpp: In function 'void solvethetestcase()':
capital_city.cpp:96:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
~~~~~^~~~~~~~~~~~~~~~~~
capital_city.cpp:290:2: note: in expansion of macro 'sfl2'
sfl2(n,k)
^~~~
capital_city.cpp:96:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
~~~~~^~~~~~~~~~~~~~~~~~
capital_city.cpp:293:3: note: in expansion of macro 'sfl2'
sfl2(u,v)
^~~~
capital_city.cpp:95:21: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
#define sfl(x) scanf("%lld",&x);
~~~~~^~~~~~~~~~~
capital_city.cpp:298:3: note: in expansion of macro 'sfl'
sfl(c[i])
^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
18 ms |
19200 KB |
Output is correct |
| 2 |
Correct |
18 ms |
19072 KB |
Output is correct |
| 3 |
Correct |
16 ms |
19200 KB |
Output is correct |
| 4 |
Runtime error |
36 ms |
38648 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
18 ms |
19200 KB |
Output is correct |
| 2 |
Correct |
18 ms |
19072 KB |
Output is correct |
| 3 |
Correct |
16 ms |
19200 KB |
Output is correct |
| 4 |
Runtime error |
36 ms |
38648 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
302 ms |
88312 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
18 ms |
19200 KB |
Output is correct |
| 2 |
Correct |
18 ms |
19072 KB |
Output is correct |
| 3 |
Correct |
16 ms |
19200 KB |
Output is correct |
| 4 |
Runtime error |
36 ms |
38648 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
| 5 |
Halted |
0 ms |
0 KB |
- |
