#include <iostream>
#include <iosfwd>
#include <iomanip>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <ctime>
#include <cmath>
#include <cassert>
#include <cctype>
#include <climits>
#include <vector>
#include <bitset>
#include <set>
#include <queue>
#include <stack>
#include <map>
#include <deque>
#include <string>
#include <list>
#include <iterator>
#include <sstream>
#include <complex>
#include <fstream>
#include <functional>
#include <numeric>
#include <utility>
#include <algorithm>
#include <chrono>
#include <unordered_set>
#include <unordered_map>
#include <random>
#include <ext/pb_ds/assoc_container.hpp> 
#include <ext/pb_ds/tree_policy.hpp> 

using namespace __gnu_pbds;
using namespace std;

template<class T> using OrderedSet = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

// MACROS_BEGIN
#define CLEAR() cerr << endl;
#define LET(x, a) __typeof(a) x = a
#define FOREACH(it, v) for (LET(it, (v).begin()); it != (v).end(); ++it)
#define REPEAT(i, n) for (int i = 0; i < (n); ++i)
// MACROS_END

// GENERIC_UTILITIES_BEGIN
// template <class T> inline int size(const T& c) {return (int) c.size();}
inline long long two(int x) {return (1LL << (x));}

vector<string> split(string s, string delim) {
    s += delim[0];
    string tmp;
    vector<string> result;
    for (int i = 0; i < size(s); ++i) {
        if (delim.find(s[i]) == string::npos) {
            tmp.push_back(s[i]);
        }
        else {
            if (tmp != "") result.push_back(tmp);
            tmp.clear();
        }
    }
    return result;
}
// GENERIC_UTILITIES_END

// FAST_IO_BEGIN
// FAST_IO_END

// STANDARD_IO_BEGIN
#ifndef USING_FAST_IO
int readInt() {int N = -1; scanf("%d", &N); return N;}
double readDouble() {double D; scanf("%lf", &D); return D;}
string readString() {char buffer[1 << 20]; scanf("%s", buffer); return buffer;}
long long readLongLong() {long long N = -1; scanf("%lld", &N); return N;}
#endif // NOT DEFINED USING_FAST_IO
// STANDARD_IO_END


// OUTPUT_UTILITIES_BEGIN
template <class A, class B> ostream& operator << (ostream& o, const pair<A, B>& p);
template <class T> ostream& operator << (ostream& o, const vector<T>& v);
template <class A, class B> ostream& operator << (ostream& o, const map<A, B>& m);
template <class T> ostream& operator << (ostream& o, const set<T>& s);
template <class T> ostream& operator << (ostream& o, const queue<T>& q);
template <class T> ostream& operator << (ostream& o, const stack<T>& s);

template <class A, class B> ostream& operator << (ostream& o, const pair<A, B>& p) {
    o << "(" << p.first << "," << p.second << ")"; return o;
}

template <class T> ostream& operator << (ostream& o, const vector<T>& v) {
    o << "{"; bool first = true; FOREACH(it, v) { if (!first) o << ","; first = false; o << *it; } return o << "}";
}

template <class A, class B> ostream& operator << (ostream& o, const map<A, B>& m) {
    o << "{"; bool first = true; FOREACH(it, m) { if (!first) o << ","; first = false; o << *it; } return o << "}";
}

template <class T> ostream& operator << (ostream& o, const set<T>& s) {
    o << "{"; bool first = true; FOREACH(it, s) { if (!first) o << ","; first = false; o << *it; } return o << "}";
}

template <class T> ostream& operator << (ostream& o, const queue<T>& q) {
    o << "{"; bool first = true; queue<T> p = q; while (!p.empty()) { if (!first) o << ","; first = false; o << p.front(); p.pop(); } return o << "}";
}

template <class T> ostream& operator << (ostream& o, const stack<T>& s) {
    o << "{"; bool first = true; stack<T> r = s; while (!r.empty()) { if (!first) o << ","; first = false; o << r.top(); r.pop(); } return o << "}";
}
// OUTPUT_UTILITIES_END

// DEBUGGING_UTILITIES_BEGIN
// DEBUGGING SWITCH
#define PHOENIX_DEBUG

#ifdef PHOENIX_DEBUG
#define DEBUG(...) __f(__LINE__, #__VA_ARGS__, __VA_ARGS__)

template<typename Arg> void __print(const string& name, Arg&& arg) {
    cerr << "[" << name << ": " << arg << "]" << " ";
}

void __printLine(int line) {
    cerr << "LINE " << line << ": ";
    cerr << boolalpha;    
}

template<typename Arg> void __g(vector<string>& names, int idx, Arg&& arg) {
    __print(names[idx], arg);
}

template<typename Arg, typename... Args> void __g(vector<string>& names, int idx, Arg&& arg, Args&&... args) {
    __g(names, idx, arg); __g(names, idx + 1, args...);
}

template <typename Arg> void __f(int line, const string& name, Arg&& arg) {
    __printLine(line);
    __print(name, arg); CLEAR();
}

template <typename Arg, typename... Args> void __f(int line, const string& _names, Arg&& arg, Args&&... args) {
    __printLine(line);
    vector<string> names = split(_names, ", "); __g(names, 0, arg, args...); CLEAR();
}
#else
#define DEBUG(...)
#endif
// DEBUGGING_UTILITIES_END

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const double epsilon = 1e-8;
const int infinite    = 2000000000; // 2 * 10^9
const long long infiniteLL = 2000000000000000000LL; // 2 * 10^18
const long long modulo = 1000000007;

struct Task {
    int N, K;
    vector<int> p;
    vector<long long> c;
    long long answer;

    void readInput() {
        N = readInt(), K = readInt();
        p.resize(N);
        c.resize(N);

        for (int i = 0; i < N; ++i) {
            p[i] = readInt() - 1;
        }

        for (int i = 0; i < N; ++i) {
            c[i] = readInt();
        }

        answer = -infiniteLL;
    }

    void explore(vector<int>& v) {
        int M = size(v);
        long long sum = 0;

        for (int i = 0; i < M; ++i) {
            sum += c[v[i]];
        }

        if (sum > 0) {
            long long tmp = sum * 1LL * (K / M);
            int pending = K % M;
            vector<int> w = v;

            for (int i = 0; i < M; ++i) {
                w.push_back(v[i]);
            }

            answer = max(answer, tmp);

            for (int i = 0; i < M; ++i) {
                long long tmp2 = 0;

                for (int j = i; j < min(i + M, i + pending); ++j) {
                    tmp2 += c[w[j]];
                    answer = max(answer, tmp + tmp2);
                }
            }

            if ((K > M) >= 1) {
                long long tmp = sum * 1LL * ((K - M) / M);
                int pending = M;

                for (int i = 0; i < M; ++i) {
                    long long tmp2 = 0;

                    for (int j = i; j < min(i + M, i + pending); ++j) {
                        tmp2 += c[w[j]];
                        answer = max(answer, tmp + tmp2);
                    }
                }                
            }
        } else {
            vector<int> w = v;

            for (int i = 0; i < M; ++i) {
                w.push_back(v[i]);
            }

            for (int i = 0; i < M; ++i) {
                long long tmp = 0;

                for (int j = i; j < min(i + M, i + K); ++j) {
                    tmp += c[w[j]];

                    answer = max(answer, tmp);
                }
            }
        }
    }

    void solve() {
        vector<bool> visited(N, false);

        for (int i = 0; i < N; ++i) {
            if (!visited[i]) {
                vector<int> v;
                int x = i;

                while (!visited[x]) {
                    v.push_back(p[x]);
                    visited[x] = true;
                    x = p[x];
                }

                explore(v);
            }
        }

        printf("%lld\n", answer);
    }

    void perform() {
        readInput();
        solve();
    }
};

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    Task task;
    task.perform();

    return 0;
}

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Measured memory_bytes: 3936