#include <iostream>
#include <iomanip>
#include <fstream>
#include <string>
#include <array>
#include <vector>
#include <deque>
#include <list>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <stack>
#include <queue>
#include <bitset>
#include <tuple>
#include <cmath>
#include <complex>
#include <algorithm>
#include <utility>
#include <regex>
#include <cstdint>
#include <numeric>
#include <functional>
#include <cassert>

using namespace std;

namespace utils{
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
    ///----- aliases
    using i32 = int32_t;
    using u32 = uint32_t;
    using i64 = int64_t;
    using u64 = uint64_t;
    using ll = long long int;
    using ull = u64;

    using f32 = float;
    using f64 = double;

    template<class T, class Compare> using p_queue = priority_queue<T, vector<T>, Compare>;
    template<class T> using min_queue = p_queue<T, greater<T>>;
    template<class T> using max_queue = p_queue<T, less<T>>;

    template<class T> inline bool CHMIN(T& X, const T& A){ if(X > A) {X = A; return true;} return false; }
    template<class T> inline bool CHMAX(T& X, const T& A){ if(X < A) {X = A; return true;} return false; }

    ///----- vector I/O
    template<class T>
    vector<T> VEC(size_t n, T t){
        return vector<T>(n, t);
    }

    template<class ...Ts>
    auto VEC(size_t n, Ts ... ts){
        return vector<decltype(VEC(ts...))>(n, VEC(ts...));
    }

    template<class T>
    vector<T> VIN(istream& is, size_t n){
        vector<T> v(n);
        for (int i = 0; i < n; ++i) {
            is >> v[i];
        } // end i
        return v;
    }

    template<class T>
    auto VIN(istream& is, size_t n, size_t ts...){
        auto v = vector<decltype(VIN<T>(is, ts))>(n);
        for (auto &&x : v) {
            x = VIN<T>(is, ts);
        } // end x
        return v;
    }

    template<class T>
    bool VOUT(ostream& os, vector<T>& v){
        for (auto &&x : v) {
            os << x  << ' ';
        } // end x
        return !!os;
    }

    template<class T>
    bool VOUT(ostream& os, vector<vector<T>>& v, char endc = '\n'){
        for (auto &&vs : v) {
            VOUT(os, vs);
            os << endc;
        } // end vs
        return !!os;
    }

    ///----- tuple I/O
    template <class S, class T>
    istream& operator>>(istream& is, tuple<S, T>& t){
        return is >> get<0>(t) >> get<1>(t);
    }

    template <class S, class T, class U>
    istream& operator>>(istream& is, tuple<S, T, U>& t){
        return is >> get<0>(t) >> get<1>(t) >> get<2>(t);
    }

    template <class S, class T>
    ostream& operator<<(ostream& os, const tuple<S, T>& t){
        return os << get<0>(t) << ' ' <<  get<1>(t);
    }

    template <class S, class T, class U>
    ostream& operator<<(ostream& os, const tuple<S, T, U>& t){
        return os << get<0>(t) << ' ' <<  get<1>(t) << ' ' <<  get<2>(t);
    }

    ///----- constants
    constexpr i64 INFLL   = 1'000'000'000'000'000'020ll;
    constexpr i32 INF     = 1'000'000'009;
    constexpr f64 PI      = 3.14'159'265'358'979'323'846;
    constexpr f64 EPS     = 1e-12;
}
using namespace utils;


class solver{
    istream& is;
    ostream& os;

public:
    solver(istream& I, ostream& O) :is(I), os(O) {}

    int N;
    int K;
    vector<int> next;
    vector<ll> score;
    bool input() {
        is >> N >> K;
        next = VIN<int>(is, N);
        score = VIN<ll>(is, N);
        return !!is;
    }


    ll calc(int v){
        ll mx = -INFLL;
        ll sc = 0;
        vector<ll> pst(N, -INFLL);
        vector<ll> count(N, 0);
        pst[v] = 0;
        auto k = K;
        ll c = 0;
        while(k > 0){
            k--;
            c++;
            v = next[v]-1;
            sc += score[v];
            CHMAX(mx, sc);
            if(pst[v] != -INFLL){
                ll d = sc - pst[v];
                if(d >= 0){
                    ll cc = c - count[v];
                    sc += d*( k / (cc));
                    k %= cc;
                    k += cc;
                    sc -= d;
                    CHMAX(mx, sc);
                    while(k > 0){
                        k--;
                        v = next[v]-1;
                        sc += score[v];
                        CHMAX(mx, sc);
                    }
                }
                return mx;
            }
            pst[v] = sc;
            count[v] = c;
        }
        return mx;
    }

    void run();
};

void solver::run(){
    if(!input()) return;
    ll mxsc = -INFLL;
    for (int i = 0; i < N; ++i) {
        CHMAX(mxsc, calc(i));
    } // end i
    cout << mxsc << endl;
}

int main(int argc, char *argv[]) {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << setprecision(16) << scientific;
#ifdef XELMH
    string test_cases = "test_D.txt";
    cerr << test_cases << " -->" << endl;
    auto fs = fstream(test_cases, fstream::in);
    int loop = 0;
    while(fs) {
        loop++;
        cout << '#' << loop << "#------\n";
        solver(fs, cout).run();
    }
    if(loop <= 1) {
        cout << "===" << endl;
        while(cin) solver(cin, cout).run();
    }
#else
    solver(cin, cout).run();
#endif
    return 0;
}


Measured memory_bytes: 3728