//#pragma GCC optimize(3)
#include<bits/stdc++.h>
#define SZ(x) ((int)x.size())
#define uni(x) sort(all(x)),x.resize(unique(all(x))-x.begin());
#define GETPOS(c,x) (lower_bound(all(c),x)-c.begin())
#define lown1(x,val) low(in(x),val)-x
#define lowm1(x,val) low(im(x),val)-x
#define low1(x,nums,val) low(x+1,x+nums+1,val)-x
#define mst(x,val) memset((x),val,sizeof((x)))
#define ls rt<<1
#define rs rt<<1|1
#define lson rt<<1,l,M
#define rson rt<<1|1,M+1,r
#define PI acos(-1)
#define MM int M=(l+r)>>1;
#define fu(i,r,t) for(int i=r;i<=t;i++)
#define fd(i,r,t) for(int i=r;i>=t;i--)
#define fh(i,be,e) for(int i=head[be];~i;i=e[i].next)
#define fa(i,V) for(auto i:V)
#define far(i,V) for(auto &i:V)
#define IOS ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define lcm(a,b) ((a)*(b))/__gcd(a,b)
#define cp(i,ans) printf("%.if",ans);
#define cpp(i,ans) cout<<setprecision(i)<<fixed<<ans<<endl;
#define ppb pop_back
#define ppf pop_front
#define pb push_back
#define pf push_front
#define pq priority_queue
#define lowbit(x) ((x)&(-x))
#define all(V) V.begin(),V.end()
#define ms multiset
#define mod(x) ((x+mo_num)%mo_num)
#define vc vector
#define vct vector<int>
#define out(i) cout<<(i)<<endl;
#define fi first
#define se second
#define fun(i) fu(i,1,n)
#define fut(i) fu(i,1,t)
#define fum(i) fu(i,1,m)
#define ld long double
#define umap unordered_map
#define Umap unordered_map<int,int>
#define P pair<int,int>
#define SET set<int>
#define mk make_tuple
#define eps 1e-6
//Remember cancel"#define endl '\n'" in interactive questions or use "<<flush"
#define endl '\n'
#define low lower_bound
#define upp upper_bound
#define yn(key) out(key?"YES":"NO")
//#define yn(key) out(key?"Yes":"No")
#define in(i) i+1,i+1+n
#define im(i) i+1,i+1+m
#define ik(i,k) i+1,i+1+k
#define bffs(i) __builtin_ffs(i)
#define bcount(i) __builtin_popcount(i)
#define bone(i) ((1<<i)-1)
#define db double
#define ll long long
#define got(container,num) get<num-1>(container)
#define int long long
#define print(a,n) fun(i)cout<<a[i]<<(i!=n?' ':endl);
#define outcase(x) cout<<"Case #"<<(++case_of_T)<<": "<<x<<endl;
#define ptcase(x) printf("Case #%d: %d\n",++case_of_T,x);
#define plcase(x) printf("Case #%lld: %lld\n",++case_of_T,x);
using namespace std;
//Remember to cancel the line below and declare INT=INT_MAX/2; when you want to change long to int
const int INF=LLONG_MAX/4,SINF=0x3f3f3f3f,Lim=1<<20,MINF=LLONG_MAX;
//const int INF=INT_MAX/4;
// use C:printf("%.16f", x);  ->  printf("%.10f", x); can accelerate the program
//typedef unsigned long long ull; template<class T> void _R(T &x) { cin >> x; }void _R(int32_t &x) { scanf("%d", &x); }void _R(long long &x) { scanf("%lld", &x); }void _R(ull &x) { scanf("%llu", &x); }void _R(double &x) { scanf("%lf", &x); }void _R(char &x) { scanf(" %c", &x); }void _R(char *x) { scanf("%s", x); }void R() {}template<class T, class... U> void R(T &head, U &... tail) { _R(head); R(tail...); }template<class T> void _W(const T &x) { cout << x; }void _W(const int32_t &x) { printf("%d", x); }void _W(const long long &x) { printf("%lld", x); }void _W(const double &x) { printf("%.16f", x); }void _W(const char &x) { putchar(x); }void _W(const char *x) { printf("%s", x); }template<class T,class U> void _W(const pair<T,U> &x) {_W(x.F); putchar(' '); _W(x.S);}template<class T> void _W(const vector<T> &x) { for (auto i = x.begin(); i != x.end(); _W(*i++)) if (i != x.cbegin()) putchar(' '); }void W() {}template<class T, class... U> void W(const T &head, const U &... tail) { _W(head); putchar(sizeof...(tail) ? ' ' : '\n'); W(tail...); }
const int dx[]={0,0,-1,1},dy[]={-1,1,0,0};//down up left right
const int maxn=1e6+1e5;
int mo_num=1e9+7;
//const int mo_num=998244353;
int n,m,t,a[maxn],b[maxn],ans,case_of_T;
int zq,f[maxn],vis[maxn];
void deal(int now,int times,int have)
{
    f[times]=have+b[a[now]];
    if(vis[now])
    {
        zq=times-1;
        return;
    }
    vis[now]=1;
    deal(a[now],times+1,f[times]);
}
void solve()
{
    cin>>n>>m;
    fun(i)cin>>a[i];
    fun(i)cin>>b[i];
    ans=-INF;
    fun(i)
    {
        fun(j)f[j]=vis[j]=0;
        deal(i,1,0);
        if(m<=zq)
        {
            fum(j)ans=max(ans,f[j]);
        }else{
            int num=0;
            fu(j,1,zq)num=max(num,f[j]);
            ans=max(ans,num);
            int mx=0;
            fu(j,1,m%zq)mx=max(mx,f[j]);
            ans=max({ans,m/zq*f[zq]+mx,(m/zq-1)*f[zq]+num});
        }
    }
    out(ans)

    return ;
}
main()
{
    IOS
    int T=1;
    //cin>>T;
    while(T--)solve();
    return 0;
}

Measured memory_bytes: 3796