// what is matter? never mind. 
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2")
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define ull unsigned long long
//#define int long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
	char c=getchar();int x=0;bool f=0;
	for(;!isdigit(c);c=getchar())f^=!(c^45);
	for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
	return f?-x:x;
}

#define mod 1000000007
struct modint{
	unsigned int x;
	modint(int o=0){x=o;}
	modint &operator = (int o){return x=o,*this;}
	modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
	modint &operator -=(modint o){return x=x<o.x?x-o.x+mod:x-o.x,*this;}
	modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
	modint &operator ^=(int b){
		modint a=*this,c=1;
		for(;b;b>>=1,a*=a)if(b&1)c*=a;
		return x=c.x,*this;
	}
	modint &operator /=(modint o){return *this *=o^=mod-2;}
	friend modint operator +(modint a,modint b){return a+=b;}
	friend modint operator -(modint a,modint b){return a-=b;}
	friend modint operator *(modint a,modint b){return a*=b;}
	friend modint operator /(modint a,modint b){return a/=b;}
	friend modint operator ^(modint a,int b){return a^=b;}
	friend bool operator ==(modint a,modint b){return a.x==b.x;}
	friend bool operator !=(modint a,modint b){return a.x!=b.x;}
	bool operator ! () {return !x;}
	modint operator - () {return x?mod-x:0;}
	bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}

vector<modint> fac,ifac,iv;
inline void initC(int n)
{
	if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
	int m=iv.size(); ++n;
	if(m>=n)return;
	iv.resize(n),fac.resize(n),ifac.resize(n);
	For(i,2,n-1)fac[i]=fac[i-1]*i;
	ifac[n-1]=1/fac[n-1];
	Rep(i,n-2,0)ifac[i]=ifac[i+1]*(i+1),iv[i+1]=ifac[i+1]*fac[i];
}
inline modint C(int n,int m){
	if(m<0||n<m)return 0;
	return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;

#define maxn 1000005
#define inf 0x3f3f3f3f3f3f3f3f

int n,k,vis[maxn],a[maxn],to[maxn];
vi e[maxn];
pii res[maxn];

pii operator +(pii a,int b){
	return mkp(a.fi+b,a.se);
}

bool on[maxn];
int q[maxn],len;

int ps[maxn];
int cnt[maxn];
vi buc[maxn];

pii Q(int id,int col,int k){
	int sz=buc[col].size()/2;
	if(!sz) return mkp(inf,col);
	
	int cnt=(k-1)/sz;
	int res=0;
	
	res+=cnt*len;
	k-=cnt*sz;
	
	auto it=lower_bound(ALL(buc[col]),id);
	it+=(k-1);
	
	res+=(*it)-id;

	return mkp(res,col);
}

vi stk[maxn];
int dep[maxn];
int upid;

void dfs(int u,int pa){
	vis[u]=1;
	dep[u]=dep[pa]+1;
	stk[a[u]].pb(u);
	if(stk[a[u]].size()>=k) {
		int anc=stk[a[u]][stk[a[u]].size()-k];
		res[u]=min(res[u],mkp(dep[u]-dep[anc],a[u]));
	}else{
		int tmp=k-(stk[a[u]].size()-1);
		res[u]=min(res[u],Q((upid+1)%len,a[u],k-stk[a[u]].size())+dep[u]+1);
	}
	for(int v:e[u]){
		if(v==pa||on[v]) continue;
		res[v]=min(res[v],res[u]+1);
		dfs(v,u);
	}
	stk[a[u]].pop_back();
}

void solve(int u){
	while(!vis[u]) vis[u]=1,u=to[u];
	len=0; 
	while(!on[u]) q[len++]=u,on[u]=1,u=to[u];
	
	For(i,0,len-1) buc[a[q[i]]].clear();
	For(i,0,len-1) {
		ps[i]=buc[a[q[i]]].size();
		buc[a[q[i]]].pb(i);
	}
	For(i,0,len-1) {
		buc[a[q[i]]].pb(i+len);
	}
	
	For(i,0,len-1) {
		int u=q[i];
		res[u]=Q(i,a[u],k);
	}
	For(_,0,2) {
		Rep(i,len-1,0) 
			res[q[i]]=min(res[q[i]],res[q[(i+1)%len]]+1);
	}
	For(i,0,len-1){
		int u=q[i];
		upid=i;
		dfs(u,0);
	}
}

void work()
{
	n=read(),k=read();
	For(i,1,n)e[i].clear(),vis[i]=0,res[i]=mkp(inf,-1),on[i]=0,dep[i]=0;
	
	For(i,1,n)a[i]=read();
	For(i,1,n)to[i]=read(),e[to[i]].pb(i);
	
	For(i,1,n) if(!vis[i]) solve(i);
	
//	For(i,1,n) cout<<res[i].fi<<" "<<res[i].se<<"\n"; cout<<" res\n";
	
	int out=0;
	For(i,1,n)out+=res[i].se*i;
	cout<<out<<endl;
}

signed main()
{
//	freopen("my.out","w",stdout);
	int T=read();
	while(T--)work();
	return 0;
}
/*
3
5 3
2 2 1 3 3
2 5 1 2 4
5 4
2 2 1 3 3
2 5 1 2 4
3 10
1 2 3
1 3 2
*/