qyliang/CodeNanoFix huggingface dataset:
Buggy code:
def main():
    n,k = map(int, input().split())
    town = list(map(int, input().split()))
    town = [i-1 for i in town]
    visited = [-1] * n
    current_town = 0
    current_order = 0
    memo = []
    while visited[current_town] == -1:
        visited[current_town] = current_order
        memo.append(current_town)
        current_town = town[current_town]
        current_order += 1
    loop_start = visited[current_order]
    if k < len(memo):
        print(memo[k])
    else:
        loop_length = len(memo) - loop_start
        k %= loop_length
        print(memo[k+loop_start]+1)

if __name__ == '__main__':
    main()

Fixed code:
def main():
    n,k = map(int, input().split())
    town = list(map(int, input().split()))
    town = [i-1 for i in town]
    visited = [-1] * n
    current_town = 0
    current_order = 0
    memo = []
    while visited[current_town] == -1:
        visited[current_town] = current_order
        memo.append(current_town)
        current_town = town[current_town]
        current_order += 1
    loop_start = visited[current_town]
    if k < len(memo):
        print(memo[k]+1)
    else:
        loop_length = len(memo) - loop_start
        k =  (k - loop_start) % loop_length
        print(memo[k+loop_start]+1)
if __name__ == '__main__':
    main()
Buggy code:
a,b=map(int,input().split())
c=[0]+list(map(int,input().split()))

d=set()
e=[]
mir=1
while 1:
  if mir in d:
    g=e.index(mir)
    f=e[g:]
    e=e[:g]
    break
  else:
    d.add(mir)
    e.append(mir)
    mir=c[mir]
print(e)
print(f)
if b<len(e):
  print(e[b])
else:
  b=b-len(e)
  print(f[b%(len(f))])
  

Fixed code:
a,b=map(int,input().split())
c=[0]+list(map(int,input().split()))

d=set()
e=[]
mir=1
while 1:
  if mir in d:
    g=e.index(mir)
    f=e[g:]
    e=e[:g]
    break
  else:
    d.add(mir)
    e.append(mir)
    mir=c[mir]
if b<len(e):
  print(e[b])
else:
  b=b-len(e)
  print(f[b%(len(f))])
Buggy code:
n,k = map(int,input().split()) 
A=list(map(int,input().split()) )

kyori = [-1] *len(A)

junban =[]

x=0
d=0
while kyori[x] == -1:
    
    junban.append(x)
    kyori[x]=d
    d+=1
    x=A[x]-1
    
    
roop_x = x
roop_d = d - kyori[x]

for k in range(100):

    if k<d:
        print(junban[k]+1)
        
    else:
        
        k0 = kyori[x]
        k1 = (k-k0)%roop_d
        
        print(junban[k0+k1]+1)


Fixed code:
n,k = map(int,input().split()) 
A=list(map(int,input().split()) )

kyori = [-1] *len(A)

junban =[]

x=0
d=0
while kyori[x] == -1:
    
    junban.append(x)
    kyori[x]=d
    d+=1
    x=A[x]-1
    
    
roop_x = x
roop_d = d - kyori[x]

# for k in range(100):

if k<d:
    print(junban[k]+1)
    
else:
    
    k0 = kyori[x]
    k1 = (k-k0)%roop_d
    
    print(junban[k0+k1]+1)
Buggy code:
dic = {}
for key, a in zip(range(1, n+1), list(map(int,input().split()))):
    dic[key] = a
 
keynum = 0
log = [-1]*(n+1)
next = dic[1]
step = 1
log[next] = step
k -= 1
while k:
    next = dic[next]
    step += 1
    k -= 1
    if log[next] != -1:
        k %= log[next] - step
    else:
        log[next] = step
print(next)

Fixed code:
n,k = map(int,input().split())
a = list(map(int,input().split()))
dic = {}
for key, a in zip(range(1, n+1), a):
    dic[key] = a
 
log = [-1]*(n+1)
next = dic[1]
step = 1
log[next] = step
k -= 1
while k:
    next = dic[next]
    step += 1
    k -= 1
    if log[next] != -1:
        k %= log[next] - step
    else:
        log[next] = step
print(next)
Buggy code:
n,k = map(int, input().split())
a = list(map(int, input().split()))

tele = [1]
went = set(tele)
now = 1
cnt = 0
flag = True

for i in range(k):
  now = a[now-1]
  if now in went:
    tele = tele[tele.index(now):]
    cnt = len(tele)
    flag = False
    break
  tele.append(now)
  went.add(now)

if flag == True:
  print(tele[-1])

else:
  cnt = k % cnt
  print(tele[cnt])

print(tele)

Fixed code:
n,k = map(int, input().split())
a = list(map(int, input().split()))

tele = [1]
went = set(tele)
now = 1
cnt = 0
flag = True

for i in range(k):
  now = a[now-1]
  if i != k-1 and now in went:
    tele = tele[tele.index(now):]
    cnt = i+1
    flag = False
    break
  tele.append(now)
  went.add(now)

if flag == True:
  print(tele[-1])

else:
  k -= cnt
  cnt = k % len(tele)
  print(tele[cnt])
Buggy code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
A = [-1] + A

visit = {}
n = 1
cnt = 0
remain = K
# print("remain:", remain)
while(n not in visit.keys()):
    visit[n] = cnt
    cnt+=1
    n = A[n]
    remain -= 1
    if (remain==0):
        print(n)
        exit()
# remain -=1

print(n, visit[n], cnt)
d = cnt - visit[n]
print(d)
print("d: ", d)
print("remain:", remain)
remain = remain%d
print("remain:", remain)
print("current: ", n)
while(remain > 0):
    remain -= 1
    n = A[n]
    # print("new n:", n)
print(n)



Fixed code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
A = [-1] + A

visit = {}
n = 1
cnt = 0
remain = K
# print("remain:", remain)
while(n not in visit.keys()):
    visit[n] = cnt
    cnt+=1
    n = A[n]
    remain -= 1
    if (remain==0):
        print(n)
        exit()
# remain -=1

# print(n, visit[n], cnt)
d = cnt - visit[n]
# print(d)
# print("d: ", d)
# print("remain:", remain)
remain = remain%d
# print("remain:", remain)
# print("current: ", n)
while(remain > 0):
    remain -= 1
    n = A[n]
    # print("new n:", n)
print(n)
Buggy code:
n,k=map(int,input().split())
a=list(input().split())
p = [0]*200000
q = [0]*200000
p[0]=1
p[1]=int(a[0])
q[0]=1
q[p[1]-1]=2
f=0
for i in range(k-1):
    p[i+2]=int(a[p[i+1]-1])
    if q[p[i+2]]>0:
        r=q[p[i+2]]
        q=i+2-r
        f=1
        break
    if f==1:
        break
    q[p[i+2]]=i+3
l=k-r
l%=q
s=p[r+l]
if f==0:    
    print(p[k])
else:
    print(s)

Fixed code:
n,k=map(int,input().split())
a=list(input().split())
p = [0]*200000
q = [0]*200000
p[0]=1
p[1]=int(a[0])
q[0]=1
q[p[1]-1]=2
f=0
for i in range(k-1):
    p[i+2]=int(a[p[i+1]-1])
    if q[p[i+2]-1]>0:
        r=q[p[i+2]-1]-1
        q=i+2-r
        f=1
        l=k-r
        l%=q
        s=p[r+l]
        break
    if f==1:
        break
    q[p[i+2]-1]=i+3
if f==0:    
    print(p[k])
else:
    print(s)
Buggy code:
import copy
N,K = list(map(int, input().split()))
 
A = list(map(int, input().split()))
 
count = [0]
Check = [0] * N
for i in range(K):
    count.append(A[count[-1]]-1)
    if(Check[count[-1] - 1] == 1):
        break
 
    Check[count[-1]] = 1
    i += 1
 
 
saisyo = count.index(count[-1]) + 1
 
loop_kazu = len(count) - saisyo
K_loop = K - saisyo
 
ans_index = K_loop % loop_kazu
ans = count[saisyo + ans_index] + 1
 
print(ans)
 

Fixed code:
import copy
N,K = list(map(int, input().split()))
 
A = list(map(int, input().split()))
 
count = [0]
Check = [0] * N
for i in range(K):
    count.append(A[count[-1]]-1)
#    print(count)
    if(Check[count[-1]-1] == 1):
        break
 
    Check[count[-1]-1] = 1
    i += 1
 
saisyo = count.index(count[-1]) + 1
#print(count,saisyo)
 
if(saisyo == len(count)):
    saisyo = 0
 
loop_kazu = len(count) - saisyo
 
if(K > loop_kazu):
    K_loop = K - saisyo
 
    ans_index = K_loop % loop_kazu
    ans = count[saisyo + ans_index] + 1
 
    print(ans)
 
else:
    print(count[K]+1)
Buggy code:
from collections import deque
import numpy as np

N, K = map(int, input().split())

tele = list(input().split())
tele = [int(tele[i]) for i in range(N)]
tele = np.array(tele)
seen = set([])
now = 1
w_num = 0


while now not in seen and w_num < K:
    seen.add(now)
    now = tele[now - 1]
    w_num += 1
    
if w_num == K:
    print(now)
else:
    seen = list(seen)
    roop_in_index = seen.index(now)
    roop = list(seen)[roop_in_index:]
    roop_len = len(roop)
    last = (K - (w_num - 1)) % roop_len
    print(roop[last - 1])


Fixed code:
from collections import deque
import numpy as np

N, K = map(int, input().split())

tele = list(input().split())
tele = np.array([int(tele[i]) for i in range(N)])
seen = set([])
roop_in = deque([])
now = 1
w_num = 0

while now not in seen and w_num < K:
    seen.add(now)
    roop_in.append(now)
    now = tele[now - 1]
    w_num += 1

if w_num == K:
    print(now)
else:
    roop_in_index = roop_in.index(now)
    roop = list(roop_in)[roop_in_index:]
    roop_len = len(roop)
    last = (K - (w_num - 1)) % roop_len
    print(roop[last - 1])
Buggy code:
n, k = map(int,input().split())
a = list(map(int,input().split()))
from collections import deque

ans = deque()
ans.appendleft(1)
count = 1
s = -1
zeros = [0]*n

while True:
    if zeros[a[count-1]] == 1:
        s = a[count-1]
        break
    else:
        ans.append(a[count-1])
        zeros[count-1]=1
        count = a[count-1]

ans = list(ans)
if s == -1:
    print(ans[k])
else:
    t = ans.index(s)
    if t >= k:
        print(ans[k])
    else:
        ans = ans[t:]
        print(ans[(k-t)%len(ans)])


Fixed code:
n, k = map(int,input().split())
a = list(map(int,input().split()))
from collections import deque

ans = deque()
ans.appendleft(1)
count = 1
s = -1
zeros = [0]*n

while True:
    if zeros[a[count-1]-1] == 1:
        s = a[count-1]
        break
    else:
        ans.append(a[count-1])
        zeros[count-1]=1
        count = a[count-1]

ans = list(ans)
if s == -1:
    print(ans[k])
else:
    t = ans.index(s)
    if t >= k:
        print(ans[k])
    else:
        ans = ans[t:]
        print(ans[(k-t)%len(ans)])
Buggy code:
N,K = map(int,input().split())
A = list(map(int,input().split()))

cnt = 0
dic = {}
x = 1
for i in range(N):
    y = A[x-1]
    cnt += 1
    if y in dic:
        x = A[y]
        break
    else:
        dic[y] = cnt
        x = y

    if cnt == K:
        print(x)
        quit()
        break
        
s = (K-A[x]) %(cnt - A[x])
for i in range(s):    
    y = A[x-1]
    x = y
print(x)

Fixed code:
N,K = map(int,input().split())
A = list(map(int,input().split()))

cnt = 0
dic = {1:0}
x = 1
for i in range(N):
    y = A[x-1]
    cnt += 1
    if y in dic:
        x = y        
        break
    else:
        dic[y] = cnt
        x = y

    if cnt == K:
        print(y)
        quit()
       
loop = (K-dic[x]) % (cnt - dic[x])

for i in range(loop):
    x = A[x-1]
print(x)
Buggy code:
N, M = map(int, input().split())
P = [i -1 for i in map(int,input().split())]
ss = set([])
point = 0
for i in range(N):
    if point in ss:
        break
    ss.add(point)
    point = P[point]
S = [0]
points = 0
for i in range(len(ss)-1):
    points = P[points]
    S.append(points)
loop = S[S.index(points):]
ll = len(S)
l = len(loop)
if ll >= M:
    print(S[M]+1)
else:
    print(loop[(M-ll)%l]+1)


Fixed code:
N, M = map(int, input().split())
P = [i -1 for i in map(int,input().split())]
ss = set([])
point = 0
for i in range(N):
    if point in ss:
        break
    ss.add(point)
    point = P[point]
S = [0]
points = 0
for i in range(len(ss)-1):
    points = P[points]
    S.append(points)
loop = S[S.index(point):]
ll = len(S)
l = len(loop)
if ll > M:
    print(S[M]+1)
elif ll == M:
    print(point+1)
else:
    print(loop[(M-ll)%l]+1)
Buggy code:
N,K=map(int,input().split())
A=list(map(int,input().split()))
now=1
count=0
a=0
l=[1]
b=0
c=0
q=[True]*N
while a==0and count<K:
    now=A[now-1]
    count+=1
    if q[now-1]:
        a=1
    else:
        l.append(now)
        q[now-1]=False
        
b=l.index(now)
c=count-b
if count==K:
    print(now)
else:
    n= ((K-b)%c)
    print(l[b+n])



Fixed code:
N,K=map(int,input().split())
A=list(map(int,input().split()))
now=1
count=0
a=0
l=[1]
b=0
c=0
q=[False]*N
while a==0and count<K:
    now=A[now-1]
    count+=1
    if q[now-1]:
        a=1
    else:
        l.append(now)
        q[now-1]=True
        
b=l.index(now)
c=count-b
if count==K:
    print(now)
else:
    n= ((K-b)%c)
    print(l[b+n])
Buggy code:
n,k=map(int,input().split())
a=list(map(int,input().split()))
for i in range(n):
  a[i]-=1
kai=[-1 for i in range(n)]
nx=0
now=0
kai[0]=0

if k<=n:
  for i in range(k):
    nx=a[now]
    now=nx
    #print(nx)
  ans=nx+1
else:
  for i in range(n):
    nx=a[now]
    if kai[nx]==-1:
      kai[nx]=i+1
      now=nx
    else:
      T=i+1-kai[nx]
      break
  id=nx+(k-kai[nx])%T
  ans=a[id]+1
print(ans)

Fixed code:
n,k=map(int,input().split())
a=list(map(int,input().split()))
for i in range(n):
  a[i]-=1
kai=[-1 for i in range(n)]
nx=0
now=0
kai[0]=0

if k<=n:
  for i in range(k):
    nx=a[now]
    now=nx
    #print(nx)
  ans=nx+1
else:
  for i in range(n):
    nx=a[now]
    if kai[nx]==-1:
      kai[nx]=i+1
      now=nx
    else:
      T=i+1-kai[nx]
      break
  times=kai[nx]+(k-kai[nx])%T
  now=0
  nx=0
  for i in range(times):
    nx=a[now]
    now=nx
    #print(nx)
  ans=nx+1
print(ans)
Buggy code:
n, k = map(int,input().split())
town = list(map(int,input().split()))
cnt = 1
step = 1
now = town[0]
via = [1]
s = {1}
while True:
  now = town[via[-1]-1-
  if not now in s:
    via.append(now)
    s.add(now)
  else:
    start = via.index(now)
    roop = len(via) - start
    break


if len(via) == 1:
    print(1)
    exit()
 
elif len(via) > k:
    print(via[k])
    exit()
 
else:
    roop_remainder = (k + 1 - start) % roop
    if roop_remainder == 0:
        print(via[-1])
    else:
        print(via[start + roop_remainder -1])


Fixed code:
n, k = map(int,input().split())
town = list(map(int,input().split()))
cnt = 1
step = 1
now = town[0]
via = [1]
s = {1}
while True:
  now = town[via[-1]-1]
  if not now in s:
    via.append(now)
    s.add(now)
  else:
    start = via.index(now)
    roop = len(via) - start
    break
 
 
if len(via) == 1:
    print(1)
    exit()
 
elif len(via) > k:
    print(via[k])
    exit()
 
else:
    roop_remainder = (k + 1 - start) % roop
    if roop_remainder == 0:
        print(via[-1])
    else:
        print(via[start + roop_remainder -1])
Buggy code:
N,K = map(int,input().split())
A = list(map(int,input().split()))
A = [0] + A
c = {}
c[1] = 0
n = 0
k = 1
while c.get(A[k]) is None or c[A[k]] != 2:
    if c.get(A[k]) is None:
        c[A[k]] = 0
    else:
        c[A[k]] += 1
    n += 1
    k = A[k]

from collections import Counter
if n >= K:
    num = Counter(c.values())[2]
    sa = len(c)-num
    bbb = K - sa
    m = bbb % num
    abc = list(c.keys())
    abc = abc[sa:len(c)]
    print(abc[m])
else:
    a = 1
    for i in range(K):
        a = A[a]
    print(a)

Fixed code:
N,K = map(int,input().split())
A = list(map(int,input().split()))
A = [0] + A
c = {}
c[1] = 0
n = 0
k = 1
while c.get(A[k]) is None or c[A[k]] != 2:
    if c.get(A[k]) is None:
        c[A[k]] = 0
    else:
        c[A[k]] += 1
    n += 1
    k = A[k]

from collections import Counter
if n <= K:
    num = Counter(c.values())[2]
    sa = len(c)-num
    bbb = K - sa
    m = bbb % num
    abc = list(c.keys())
    abc = abc[sa:len(c)]
    print(abc[m])
else:
    a = 1
    for i in range(K):
        a = A[a]
    print(a)
Buggy code:
# D - Teleporter

N, K = map(int, input().split())
A = list(int(x) for x in input().split())

done = set()
path = []
now = 0
while True:
    if now in done:
        break
    else:
        path.append(now)
        done.add(now)
        now = A[now] - 1

start = path.index(now)
loop = len(path) - start
if K < start:
    steps = K
else:
    steps = (K - start)%loop + start

print(start, loop, steps, path)
print(path[steps]+1)

Fixed code:
# D - Teleporter

N, K = map(int, input().split())
A = list(int(x) for x in input().split())

done = set()
path = []
now = 0
while True:
    if now in done:
        break
    else:
        path.append(now)
        done.add(now)
        now = A[now] - 1

start = path.index(now)
loop = len(path) - start
if K < start:
    steps = K
else:
    steps = (K - start)%loop + start

#print(start, loop, steps, path)
print(path[steps]+1)
Buggy code:
import sys
import time

N, K = map(int, input().split())
town_list = list(map(int, input().split()))

queue = {}

start = -1
count = 1

now_town = 1

for i in range(N):
    if town_list[now_town - 1] in queue:
        start = town_list[now_town - 1]
        break
    queue[town_list[now_town - 1]] = count
    now_town = town_list[now_town - 1]
    count += 1

if start == -1:
    print(queue[now_town])
    sys.exit()

before_len = len(queue) - queue[start] - 1
roop = len(queue) - before_len

print(list(queue.keys())[(K - before_len) % roop + before_len - 1])


Fixed code:
import sys
import time

N, K = map(int, input().split())
town_list = list(map(int, input().split()))

queue = {}

start = -1
count = 1

now_town = 1

for i in range(K):
    if town_list[now_town - 1] in queue:
        start = town_list[now_town - 1]
        break
    queue[town_list[now_town - 1]] = count
    now_town = town_list[now_town - 1]
    count += 1

if start == -1:
    print(now_town)
    sys.exit()

roop = len(queue) - (queue[start] - 1)
before_len = queue[start]

print(list(queue.keys())[(K - before_len) % roop + before_len - 1])
Buggy code:
import sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = 10**20
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    A = LI_()

    ord = [-1]*N

    city = 0
    cnt = 0
    teleport_path = []
    while ord[city]==-1:
        ord[city] = cnt
        teleport_path.append(city)
        city = A[city]
        cnt += 1
    loop_head = ord[city]
    loop_length = len(teleport_path) - loop_head
    # print(teleport_path, loop_head, loop_length)

    if K-1<loop_head:
        print(teleport_path[K]+1)
    else:
        K = loop_head + (K-loop_head)%loop_length
        print(teleport_path[K]+1)

if __name__ == '__main__':
    r

Fixed code:
import sys
input = lambda: sys.stdin.readline().rstrip() 
sys.setrecursionlimit(10**7)
INF = 10**20
def I(): return int(input())
def F(): return float(input())
def S(): return input()
def LI(): return [int(x) for x in input().split()]
def LI_(): return [int(x)-1 for x in input().split()]
def LF(): return [float(x) for x in input().split()]
def LS(): return input().split()

def resolve():
    N, K = LI()
    A = LI_()

    ord = [-1]*N

    city = 0
    cnt = 0
    teleport_path = []
    while ord[city]==-1:
        ord[city] = cnt
        teleport_path.append(city)
        city = A[city]
        cnt += 1
    loop_head = ord[city]
    loop_length = len(teleport_path) - loop_head
    # print(teleport_path, loop_head, loop_length)

    if K-1<loop_head:
        print(teleport_path[K]+1)
    else:
        K = loop_head + (K-loop_head)%loop_length
        print(teleport_path[K]+1)

if __name__ == '__main__':
    resolve()
Buggy code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
B = []
i = 0
B.append(1)
for n in range(N):
  B.append(A[i])
  i = A[i]-1
if K>N:
  start = 0
  num = 0
  for j in range(len(B)):
    if B[len(B)-1] == B[j]:
      start = j
      break
  for j in range(1,len(B)-start):
    if B[start+j] == B[start]:
      num = j
      break
  print(B[((K-start)%num)+start],((K-start)%num)+start)
else:
  print(B[K])

Fixed code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
B = []
i = 0
B.append(1)
for n in range(N):
  B.append(A[i])
  i = A[i]-1
if K>N:
  start = 0
  num = 0
  for j in range(len(B)):
    if B[len(B)-1] == B[j]:
      start = j
      break
  for j in range(1,len(B)-start):
    if B[start+j] == B[start]:
      num = j
      break
  print(B[((K-start)%num)+start])
else:
  print(B[K])
Buggy code:
N,K = map(int, input().split())
A =[0]
B=list(map(int, input().split()))
for m in range(N):
    A.append(B[m])
place=set([])
i=1
count=0
while i not in place:
    place.add(i)
    i=A[i]
    count+=1
if count>=K:
    print(place[K])
else:
    loop=[i]
    start=i
    j=A[i]
    count+=1
    while j!=start:
        loop.append(j)
        j=A[j]
        count+=1
    if count>=K:
        print(loop[K-len(place)-1])
    else:
        num=(K-count)%len(loop)
        print(loop[num])

Fixed code:
N,K = map(int, input().split())
A =[0]
B=list(map(int, input().split()))
for m in range(N):
    A.append(B[m])
place=set([])
p=[]
i=1
count=0
while i not in place:
    place.add(i)
    p.append(i)
    i=A[i]
    count+=1
if count>K:
    print(p[K])
else:
    loop=[i]
    start=i
    j=A[i]
    count+=1
    while j!=start:
        loop.append(j)
        j=A[j]
        count+=1
    if count>K:
        print(loop[K-len(p)])
    else:
        num=(K-count)%len(loop)
        print(loop[num])
Buggy code:
# -*- coding: utf-8 -*-
N, K = map(int, input().split())
A_list = list(map(int, input().split()))

ans_list = [1]
history_list = [0 for _ in range(N)]
before_town = 1
loop_start_town = 10 ** 10
for i in range(N):
    now_town = A_list[before_town - 1]
    if history_list[now_town - 1] == 1
        break
    ans_list.append(now_town)
    before_town = now_town

if len(ans_list) >= K:
    print(ans_list[K])
else:
    loop_start_idx = ans_list.index(A_list[ans_list[-1] - 1])
    loop_len = len(ans_list)
    ans_list = ans_list[loop_start_idx:]
    mod_num = (K - loop_len) % (loop_len - loop_start_idx)
    print(ans_list[mod_num])

Fixed code:
# -*- coding: utf-8 -*-
N, K = map(int, input().split())
A_list = list(map(int, input().split()))

ans_list = [1]
history_list = [0 for _ in range(N)]
before_town = 1
loop_start_town = 10 ** 10
for i in range(N):
    now_town = A_list[before_town - 1]
    if history_list[now_town - 1] == 1:
        break
    ans_list.append(now_town)
    before_town = now_town

if len(ans_list) > K:
    print(ans_list[K])
else:
    loop_start_idx = ans_list.index(A_list[ans_list[-1] - 1])
    loop_len = len(ans_list)
    ans_list = ans_list[loop_start_idx:]
    mod_num = (K - loop_len) % (loop_len - loop_start_idx)
    print(ans_list[mod_num])
Buggy code:
n,k=map(int,input().split(' '))
a=list(map(int,input().split(' ')))
loc=1
begin=0
end=0
d={1:0}
for i in range(n+1):
    loc=a[loc-1]
    if loc in d.keys():
        begin=d[loc]
        end=i+1
        break
    d[loc]=i+1
if k<=end:
    end=0
if end==begin+1:
    k=begin
    end=0
if end !=0:
    k=(k-begin+1)%(end-begin)+begin-1
loc=1
for _ in range(k):
    loc=a[loc-1]
print(loc)

Fixed code:
n,k=map(int,input().split(' '))
a=list(map(int,input().split(' ')))
loc=1
begin=0
end=0
d={1:0}
for i in range(n+1):
    loc=a[loc-1]
    if loc in d.keys():
        begin=d[loc]
        end=i+1
        break
    d[loc]=i+1
if k<=end:
    end=0
if end==begin+1:
    k=begin
    end=0
if end != 0:
    x=(k-begin+1)%(end-begin)
    if x==0:
        x=end-begin
    k=x+begin-1
loc=1
for _ in range(k):
    loc=a[loc-1]
print(loc)
Buggy code:
N, K = map(int, input().split())
A = list(map(int, (input().split())))

done = [0]*N
now = 0
cnt = 1
while True:
    if done[now] != 0:
        start = done[now] - 1
        cycle = cnt - start - 1
        break
    else:
        done[now] = cnt
        now = A[now]-1
        cnt += 1
if K>=start:
    K -= start
    K %= cycle
for _ in range(K):
    now = A[now]-1
print(now+1)
print(start, cycle, now, done)

Fixed code:
N, K = map(int, input().split())
A = list(map(int, (input().split())))

done = [0]*N
now = 0
cnt = 1
while True:
    if done[now] != 0:
        start = done[now] - 1
        cycle = cnt - start - 1
        break
    else:
        done[now] = cnt
        now = A[now]-1
        cnt += 1
if K>=start:
    K -= start
    K %= cycle
else:
    now = 0
for _ in range(K):
    now = A[now]-1
print(now+1)