// #Sazaの1日1AC
#include<bits/stdc++.h>
using namespace std;
const long long mod=1000000000+7;
const long long INF=9e15;
const double PI=3.14159265358979323846;

//マクロ
//型エイリアス
using ll = long long;
using P=pair<long long,long long>;
using vl=vector<long long>;
using vvl=vector<vector<long long>>;
using vP=vector<pair<long long, long long>>;
//ショートカット
#define rep(i,n) for(long long i = 0; i < n; i++)
#define rep2(i,k,n) for(long long i = k; i < n; i++) //半開区間
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(),v.rend()
#define pb push_back
#define mkp make_pair
//入力
#define vin(v,N) for(long long i=0;i<N;i++) cin>>v.at(i)
#define lin(n) long long n;cin>>n
#define chin(x) char x;cin>>x;
#define sin(s) string s;cin>>s;
#define vlin(v,N) vector<long long>v(N);for(long long i=0;i<N;i++)cin>>v.at(i)

#define max(a,b) max((ll)a,(ll)b)
#define min(a,b) min((ll)a,(ll)b)

//関数
//最大公約数
long long gcd(long long m, long long n){
  long long a=max(m,n);
  long long b=min(m,n);
  long long r=a%b;
  while(r!=0){
    a=b; b=r; r=a%b;
  }
  return b;
}
// 最小公倍数
long long lcd(long long m, long long n){
  return m*n/gcd(m,n);
}
//xのn乗
long long power(long long x, long long N){
  long long ret=1;
  for(long long i=0;i<N;i++)   
    ret*=x;
  return ret;
}
//繰り返し二乗法
long long repeat_squaring(long long x, long long n){
  if(n==0) return 1;
  else if(n%2==0){
    long long t=repeat_squaring(x,n/2);
    return t*t%mod;
  }
  else
    return x*repeat_squaring(x,n-1);
}
//素因数分解(mapで返す)
map<long long,long long> factor(long long p){
  ll p1=p;
  map<long long,long long>ret;
  for(long long i=2;i*i<=p1;i++){
     while(p%i==0){
      ret[i]++;
      p/=i;
    }
  }
  if(p!=1)
  ret[p]++;
  return ret;
}
//素数判定
bool is_prime(long long N){
  for(long long i=2;i*i<=N;i++){
    if(N%i==0)
      return false;
  }
  return true;
}
//最大値更新
void chmax(long long &a,long long b){
  a=max(a,b);
}
//最小値更新
void chmin(long long &a,long long b){
  a=min(a,b);
}

//構造体

//Union-Find木
struct UnionFind{
  //メンバ変数 
  vector<long long>par; //par[i]:=頂点iの親
  vector<long long>s; //s[i]:=頂点iが属する集合の個数(iが根のとき)
  
  //コンストラクタ
  UnionFind(long long N):par(N),s(N){
    for(long long i=0;i<N;i++){
      par[i]=i; //最初はすべてが根として初期化
      s[i]=1;
    }
  }
  //メンバ関数
  //root(i):=頂点iの根
  long long root(long long i){
    if(par[i]==i) return i;
    par[i]=root(par[i]); //経路圧縮
    return root(par[i]); //再帰
  }
  //size[i]:=iが属する集合の個数
  long long size(long long i){
    return s[root(i)];
  }
  //same(x,y) xとyが同じ根を持つか(同じ集合に含まれるか)
  bool same(long long x, long long y){
    return root(x)==root(y);
  }
  //unite(x,y) xの根をyの根に繋げる(集合を合併)
  void unite(long long x, long long y){
    if(!same(x,y)){
      long long rx=root(x);
      long long ry=root(y);
      par[rx]=par[ry];
      s[ry]=s[rx]+s[ry];
    }
  }
};

/////////////////⊂('ω'⊂ )))Σ≡GO!/////////////////

//メイン関数
int main(){
  //doubleの桁数
  cout<<fixed<<setprecision(15);

  lin(N); lin(K);
  vlin(P, N); vlin(C, N);
  rep(i, N) P[i]--;

  ll res = -INF;

  rep(i, N){
    ll m = -INF; ll M = 0;
    ll cycle = 0;
    ll cnt = 1;
    ll p = i;
    cycle += C[p];
    p = P[i];
    while(p != i) {
      cnt++;
      cycle += C[p];
      p = P[p];
    }


    if(cycle > 0) {
      ll k = K % cnt;
      M += cycle * (K / cnt);
      ll c = 0;
      p = i;
      rep(j, k){
        p = P[p];
        c += C[p];
        m = max(m, c);
      }
      M += m;
      ll L = 0;
      L += cycle * (K / cnt - 1);
      c = 0; m = -INF;
      p = i;
      rep(j, cnt){
        p = P[p];
        c += C[p];
        m = max(m, c);
      }
      L += m;

      M = max(M, L);

      res = max(res, M);
    }
    else {
      ll k = K % cnt;
      //M += cycle * (K / cnt);
      ll c = 0;
      p = i;
      rep(j, min(K, cnt)){
        p = P[p];
        c += C[p];
        m = max(m, c);
      }
    M += m;
    res = max(res, M);
    }

    //cout << cycle << " " << m << endl;
  }

  cout << res << endl;
}

Measured memory_bytes: 3712