# Original solution
from copy import copy
n, k = list(map(int, input().split()))
p = list(map(int,input().split()))
c = list(map(int, input().split()))
di = {}
for i in range(n):
    di[i+1] = False
l = 1
cc = 0
per = [] # ループの順番
while cc < n:
    tmp = []
    while True:
        if di[l]:
            break
        else:
            tmp.append(l)
            di[l] = True
            cc += 1
            l = p[l-1]
    per.append(tmp)
    for i in range(n):
        if not di[i+1]:
            l = p[i]
#print(per)
dd = {} # 何個目のループに属するか
for i in range(n):
    dd[i+1] = 0
for i in range(len(per)):
    for j in per[i]:
        dd[j] = i
#print(dd)
su = [] # ループ１週の和
for i in range(len(per)):
    tmp = 0
    for j in per[i]:
        tmp += c[j-1]
    su.append(tmp)
#print(su)
s2 = [] # ループ１週何個か
for i in range(len(per)):
    s2.append(len(per[i]))
#print(s2)
ans = -1*(10**10)
#d2 = {} # per[dd]の中でなんばんめにあるか(0インデックス)
#for i in range(len(per)):
#    for j in range(len(per[i])):
#        d2[per[i][j]] = j
#print(d2)
aa = []
for i in range(n):
    loop = dd[i+1]
    w = i+1
    kk = copy(k)
    if k < s2[loop]:
        tmp = 0
        m = -10**9
        for j in range(k):
            w = p[w-1]
            tmp += c[w-1]
            aa.append(tmp)
    else:
        if su[loop] <= 0:
            tmp = 0
            m = -10**9
            for j in range(k):
                w = p[w-1]
                tmp += c[w-1]
                aa.append(tmp)
        else:
            m_loop = kk // (s2[loop])
            m_loop -= 1
            kk -= m_loop * s2[loop]
            tmp = su[loop]*m_loop
            m = -10**9
            for j in range(kk):
                w = p[w-1]
                tmp += c[w-1]
                if c[w-1] <= 0:
                    continue
                aa.append(tmp)
print((max(aa)))


# Optimized solution
from copy import copy
n, k = list(map(int, input().split()))
p = list(map(int,input().split()))
c = list(map(int, input().split()))
di = {}
for i in range(n):
    di[i+1] = False
l = 1
cc = 0
per = [] # ループの順番
while cc < n:
    tmp = []
    while True:
        if di[l]:
            break
        else:
            tmp.append(l)
            di[l] = True
            cc += 1
            l = p[l-1]
    per.append(tmp)
    for i in range(n):
        if not di[i+1]:
            l = p[i]
#print(per)
dd = {} # 何個目のループに属するか
for i in range(n):
    dd[i+1] = 0
for i in range(len(per)):
    for j in per[i]:
        dd[j] = i
#print(dd)
su = [] # ループ１週の和
for i in range(len(per)):
    tmp = 0
    for j in per[i]:
        tmp += c[j-1]
    su.append(tmp)
#print(su)
s2 = [] # ループ１週何個か
for i in range(len(per)):
    s2.append(len(per[i]))
#print(s2)
ans = -1*(10**10)
#d2 = {} # per[dd]の中でなんばんめにあるか(0インデックス)
#for i in range(len(per)):
#    for j in range(len(per[i])):
#        d2[per[i][j]] = j
#print(d2)
aa = []
for i in range(n):
    loop = dd[i+1]
    w = i+1
    kk = copy(k)
    if k < s2[loop]:
        tmp = 0
        m = -10**9
        for j in range(k):
            w = p[w-1]
            tmp += c[w-1]
            aa.append(tmp)
    else:
        if su[loop] <= 0:
            tmp = 0
            m = -10**9
            for j in range(n):
                w = p[w-1]
                tmp += c[w-1]
                aa.append(tmp)
        else:
            m_loop = kk // (s2[loop])
            m_loop -= 1
            kk -= m_loop * s2[loop]
            tmp = su[loop]*m_loop
            m = -10**9
            for j in range(kk):
                w = p[w-1]
                tmp += c[w-1]
                if c[w-1] <= 0:
                    continue
                aa.append(tmp)
print((max(aa)))