qyliang/CodeNanoFix huggingface dataset:
Buggy code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
A = list(map(lambda x:x-1, A))

visited = [False for _ in range(N)]
visited[0] = True
pattern = [0]
x = 0
start = 0
patternBegin = 0
while True:
    x = A[x]
    if visited[x]:
        patternBegin = x
        break
    pattern.append(x)
    visited[x] = True

print(pattern)
patternBeginIndex = pattern.index(patternBegin)
beforeLoop = pattern[0:patternBeginIndex]
repeat = pattern[patternBeginIndex:]
print(beforeLoop, repeat)

if len(pattern) > K:
    print(pattern[K]+1)
else:
    ans = repeat[(K - len(beforeLoop))%len(repeat)]
    # print(pattern)
    print(ans+1)


Fixed code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
A = list(map(lambda x:x-1, A))

visited = [False for _ in range(N)]
visited[0] = True
pattern = [0]
x = 0
start = 0
patternBegin = 0
while True:
    x = A[x]
    if visited[x]:
        patternBegin = x
        break
    pattern.append(x)
    visited[x] = True

# print(pattern)
patternBeginIndex = pattern.index(patternBegin)
beforeLoop = pattern[0:patternBeginIndex]
repeat = pattern[patternBeginIndex:]
# print(beforeLoop, repeat)

if len(pattern) > K:
    print(pattern[K]+1)
else:
    ans = repeat[(K - len(beforeLoop))%len(repeat)]
    # print(pattern)
    print(ans+1)
Buggy code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
memo = [-1] * N
checked_num = {}

teleporter = A[0]
memo[0] = teleporter
repeat_point = -1
flag = False

for i in range(1, N):
    memo[i] = A[teleporter-1]
    teleporter = A[teleporter-1]
    checked_num[memo[i]] = None
    if memo[i] in checked_num and flag == False:
        repeat_point = i
        flag = True

start_point = memo.index(memo[repeat_point])
repeat = repeat_point - start_point
# print(memo, start_point, repeat_point)

if K <= N:
    print(memo[K-1])
else:
    mod = K % repeat
    print(memo[mod-1])


Fixed code:
N, K = map(int, input().split())
A = list(map(int, input().split()))
memo = [-1] * (N+1)
checked_num = {1:None}
memo[0] = 1

teleporter = A[0]
memo[1] = teleporter
checked_num[memo[1]] = None
repeat_point = -1
flag = False

for i in range(2, N+1):
    # print(i, checked_num)
    memo[i] = A[teleporter-1]
    teleporter = A[teleporter-1]
    if memo[i] in checked_num and flag == False:
        repeat_point = i
        flag = True
    checked_num[memo[i]] = None

# print(memo)

start_point = memo.index(memo[repeat_point])
repeat = repeat_point - start_point
# print(memo, start_point, repeat_point)

if K <= N:
    print(memo[K])
else:
    mod = (K-start_point) % repeat
    # print(memo, start_point, repeat_point, mod)
    print(memo[mod+start_point])
Buggy code:
#!/usr/bin/env python3


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools
def main(n, k, a):
    ck=[-1]*n
    tak=0
    c=0
    ck[0]=c
    for i in range(n):
        c+=1
        tak=a[tak]-1
        if ck[tak]!=-1:
            loop=c-ck[tak]
            lps=ck[tak]
            break
        ck[tak]=c
    print(ck, loop, lps)

    tak=0
    for i in range((k-lps)%(loop)+lps):
        tak=a[tak]-1

    print(tak+1)


if __name__ == '__main__':
    n,k=map(int, input().split())
    a=list(map(int, input().split()))
    main(n, k, a)


Fixed code:
#!/usr/bin/env python3


# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools
def main(n, k, a):
    ck=[-1]*n
    tak=0
    c=0
    ck[0]=c
    for i in range(n):
        c+=1
        tak=a[tak]-1
        if ck[tak]!=-1:
            loop=c-ck[tak]
            lps=ck[tak]
            break
        ck[tak]=c

    tak=0
    for i in range(min(k, (k-lps)%(loop)+lps)):
        tak=a[tak]-1

    print(tak+1)


if __name__ == '__main__':
    n,k=map(int, input().split())
    a=list(map(int, input().split()))
    main(n, k, a)
Buggy code:
n, k = list(map(int,input().split()))
a = list(map(int,input().split()))
 
position = 1
exp = [1]
count = 0
 
if n >= k:
  for i in range(k):
    position = a[position - 1]
  print(position)
else:
  for i in range(k):
    position = a[position - 1]
    count += 1
    if position in exp:
      exp.append(position)
    else:
      break
  init = exp.index(position)
  res = (k - init) % (count - init)
  print(exp[init + res])

Fixed code:
n, k = list(map(int,input().split()))
a = list(map(int,input().split()))
 
position = 1
exp1 = [0] * n
exp1[0] = 1
exp = [1]
count = 0
 
if n >= k:
  for i in range(k):
    position = a[position - 1]
  print(position)
else:
  for i in range(k):
    position = a[position - 1]
    count += 1
    if exp1[position - 1] == 0:
      exp.append(position)
      exp1[position - 1] += 1
    else:
      break
  init = exp.index(position)
  res = (k - init) % (count - init)
  print(exp[init + res])
Buggy code:
n,k=map(int,input().split())
a=list(map(int,input().split()))
ok=set()
now=0
l=[]
while now not in ok and k:
    l.append(now)
    ok.add(now)
    now=a[now]-1
    k-=1
length=len(ok)-(h:=l.index(now))
l=l[h:]
print(l,h,length)
k=(k)%length

print(l[k]+1)

Fixed code:
n,k=map(int,input().split())
a=list(map(int,input().split()))
ok=set()
now=0
l=[]
while now not in ok and k:
    l.append(now)
    ok.add(now)
    now=a[now]-1
    k-=1
if k==0:print(now+1);exit()
length=len(ok)-(h:=l.index(now))
l=l[h:]

k=(k)%length

print(l[k]+1)
Buggy code:
N,K=map(int,input().split())
A=list(map(int,input().split()))
kari=set()
hako=set()
count=0
cnt=0
zahyo=0
ans=0
kari.add(0)
if K<=10**6:
    for i in range(K):
        ans=A[ans]-1
    print(ans+1)
    exit()
for i in range(N):
    zahyo=A[zahyo]-1
    if zahyo not in kari:
        kari.add(zahyo)
        count+=1
    else:
        break
zahyo+=1
hako.add(zahyo)
for i in range(N):
    zahyo=A[zahyo]-1
    if zahyo not in hako:
        hako.add(zahyo)
        cnt+=1
    else:
        break
kaisu=K-count
if kaisu>N:
    kaisu=kaisu%cnt
for i in range(kaisu):
    zahyo=A[zahyo]-1
    print(zahyo,kaisu,count,cnt)
print(zahyo+1)

Fixed code:
N,K=map(int,input().split())
A=list(map(int,input().split()))
kari=set()
hako=set()
count=1
cnt=1
zahyo=0
ans=0
kari.add(zahyo)
if K<=10**6:
    for i in range(K):
        ans=A[ans]-1
    print(ans+1)
    exit()
for i in range(N):
    zahyo=A[zahyo]-1
    if zahyo not in kari:
        kari.add(zahyo)
        count+=1
    else:
        break

hako.add(zahyo)
for i in range(N):
    zahyo=A[zahyo]-1
    if zahyo not in hako:
        hako.add(zahyo)
        cnt+=1
    else:
        break
count=len(kari)
cnt=len(hako)
kaisu=K-count
#print(zahyo)
if kaisu>N:
    kaisu=kaisu%cnt
for i in range(kaisu):
    zahyo=A[zahyo]-1
#print(zahyo,kaisu,count,cnt)
#print(kari,hako)
print(zahyo+1)
Buggy code:
n, k = map(int, input().split())
q = list(map(int, input().split()))
v = [-1]*(n+1)
p = []
a = 1
c = 0
while 1:
    if v[a] != -1:
        l = c-v[a]
        if k < c:
            print(p[k])
        else:
            print(p[(k-v[a])%l+v[a]])
        break
    v[a] = c
    c += 1
    p.append(a)
    a = q[a]

Fixed code:
n, k = map(int, input().split())
q = list(map(int, input().split()))
v = [-1]*(n+1)
p = []
a = 1
c = 0
while 1:
    if v[a] != -1:
        l = c-v[a]
        if k < c:
            print(p[k])
        else:
            print(p[(k-v[a])%l+v[a]])
        break
    v[a] = c
    c += 1
    p.append(a)
    a = q[a-1]
Buggy code:
inpl = lambda: list(map(int,input().split()))
N, K = inpl()
A = inpl()
for i in range(N):
    A[i] -= 1
P = dict()
k = 0
former = True
i = 0
while i < K:
    if k in P.keys() and former:
        loop = i - P[k]
        K = i + (K-i) % loop
        former = False
    else:
        P[k] = i
        k = A[k]
    i += 1
else:
    print(k+1)


Fixed code:
inpl = lambda: list(map(int,input().split()))
N, K = inpl()
A = inpl()
for i in range(N):
    A[i] -= 1
P = dict()
k = 0
former = True
i = 1
while i <= K:
    if k in P.keys() and former:
        loop = i - P[k]
        K = i + (K-i) % loop
        former = False
    else:
        P[k] = i
    k = A[k]
    i += 1
else:
    print(k+1)
Buggy code:
¥from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
import bisect
import random
from itertools import permutations, accumulate, combinations, product
import sys
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor
from operator import mul
from functools import reduce
from operator import mul


sys.setrecursionlimit(2147483647)
INF = 10 ** 20
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def I(): return int(sys.stdin.buffer.readline())
def LS(): return sys.stdin.buffer.readline().rstrip().decode('utf-8').split()
def S(): return sys.stdin.buffer.readline().rstrip().decode('utf-8')
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
def SRL(n): return [list(S()) for i in range(n)]
def MSRL(n): return [[int(j) for j in list(S())] for i in range(n)]
mod = 1000000007


n, k = LI()
A = LI()
now = 0
if k < n:
    for j in range(k):
        now = A[now] - 1
    print(now + 1)
    exit()


D = {0:-1}
for i in range(n):
    now = A[now] - 1
    if now in D:
        break
    D[now] = i


k -= (i + 1)
b = now
c = k % (i - D[now])
for j in range(c):
    b = A[b] - 1

print(b + 1)








Fixed code:
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
import bisect
import random
from itertools import permutations, accumulate, combinations, product
import sys
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor
from operator import mul
from functools import reduce
from operator import mul


sys.setrecursionlimit(2147483647)
INF = 10 ** 20
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def I(): return int(sys.stdin.buffer.readline())
def LS(): return sys.stdin.buffer.readline().rstrip().decode('utf-8').split()
def S(): return sys.stdin.buffer.readline().rstrip().decode('utf-8')
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
def SRL(n): return [list(S()) for i in range(n)]
def MSRL(n): return [[int(j) for j in list(S())] for i in range(n)]
mod = 1000000007


n, k = LI()
A = LI()
now = 0
D = {0:-1}
for i in range(min(k, n)):
    now = A[now] - 1
    if now in D:
        break
    D[now] = i

if k < n:
    print(now + 1)
    exit()

k -= (i + 1)
b = now
c = k % (i - D[now])
for j in range(c):
    b = A[b] - 1

print(b + 1)
Buggy code:
n,k = map(int, input().split())
a = list(map(lambda x : int(x) -1,  map(int, input().split()))

s = {0}
loop = [0]

while a[loop[-1]] not in s:
    loop.append(a[loop[-1]])
    s.add(loop[-1])

    
idx = loop.index(a[loop[-1]])

if k <= len(loop):
    print(loop[k-1]+1)
else:
    print(loop[(k - idx)% (len(loop) - idx) + idx] + 1)


Fixed code:
n,k = map(int, input().split())
a = list(map(lambda x : int(x) -1,  map(int, input().split())))

s = {0}
loop = [0]

while a[loop[-1]] not in s:
    loop.append(a[loop[-1]])
    s.add(loop[-1])

    
idx = loop.index(a[loop[-1]])

if k < len(loop):
    print(loop[k]+1)
else:
    print(loop[(k - idx)% (len(loop) - idx) + idx] + 1)
Buggy code:
N, K = list(map(int,input().split()))
move_list = list(map(int,input().split()))
 
  
test = 1
find_f = {}
for i in range(N):
  find_f[i+1]=[]
 
find_f[1].append(0)
for i in range(K):
  test = move_list[test-1]
  find_f[test].append(i+1)
  if len(find_f[test]) == 2 and find_f[test][1]-find_f[test][0]<=100000:
    state ,f = test, find_f[test]
    break
try:
  K = K-f[0]
  f = f[1]-f[0]
  remain = K%f
  if remain == 0:
    print(state)
 
  for i in range(remain):
    state = move_list[state-1]
 
  print(state)
except:
  print(test)
#state = 1

Fixed code:
N, K = list(map(int,input().split()))
move_list = list(map(int,input().split()))
 
  
test = 1
find_f = {}
for i in range(N):
  find_f[i+1]=[]
 
find_f[1].append(0)
for i in range(K):
  test = move_list[test-1]
  find_f[test].append(i+1)
  if len(find_f[test]) == 2 and find_f[test][1]-find_f[test][0]<=1000000:
    state ,f = test, find_f[test]
    break
try:
  K = K-f[0]
  f = f[1]-f[0]
  remain = K%f
  for i in range(remain):
    state = move_list[state-1]
 
  print(state)
except:
  print(test)
#state = 1
Buggy code:
# -*- coding: utf-8 -*-
"""
Created on Sun May 10 20:50:56 2020
"""

import sys
#import numpy as np

sys.setrecursionlimit(10 ** 9)
#def input():
#    return sys.stdin.readline()[:-1]
mod = 10**9+7

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

city = [False for i in range(N)]
city[1-1] =True
now = 1

counta1 = 0
while True:
    counta1 += 1
    prev = now
    now = A[now-1]
    print(prev,now,counta1)
    if city[now-1]:
        break
    elif counta1 == K:
        print(now)
        sys.exit()
    else:
        city[now-1] = True

counta = 1
rout = []
rout.append(now)
while now != prev:
    now = A[now-1]
    rout.append(now)
    counta +=1
    print(now,rout,counta)

ans = rout[(K-counta1) % counta]
print(ans)


Fixed code:
# -*- coding: utf-8 -*-
"""
Created on Sun May 10 20:50:56 2020
"""

import sys
#import numpy as np

sys.setrecursionlimit(10 ** 9)
#def input():
#    return sys.stdin.readline()[:-1]
mod = 10**9+7

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

city = [False for i in range(N)]
city[1-1] =True
now = 1

counta1 = 0
while True:
    counta1 += 1
    prev = now
    now = A[now-1]
#    print(prev,now,counta1)
    if city[now-1]:
        break
    elif counta1 == K:
        print(now)
        sys.exit()
    else:
        city[now-1] = True

counta = 1
rout = []
rout.append(now)
while now != prev:
    now = A[now-1]
    rout.append(now)
    counta +=1
#    print(now,rout,counta)

ans = rout[(K-counta1) % counta]
print(ans)
Buggy code:
from collections import deque
def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))
    A.insert(0, 0)
    J = [-1] * (N + 1)
    T = []
    que = deque([1])
    count = 0
    l = 0
    while que:
        i = que.popleft()
        if J[i] != -1:
            l = J[i]
            break
        J[i] = count
        count += 1
        T.append(i)
        que.append(A[i])
    if K < l:
        return T[K]
    else:
        return T[(K-(l+1))%(len(T)-l)]
print(main())

Fixed code:
from collections import deque
def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))
    A.insert(0, 0)
    J = [-1] * (N + 1)
    T = []
    que = deque([1])
    count = 0
    l = 0
    while que:
        i = que.popleft()
        if J[i] != -1:
            l = J[i]
            break
        J[i] = count
        count += 1
        T.append(i)
        que.append(A[i])
    if K < l:
        return T[K]
    else:
        return T[(K-l)%(len(T)-l) + l]
print(main())
Buggy code:
import collections

n,k = list(map(int,input().split()))
a = list(map(int,input().split()))
a = [int(i)-1 for i in a]

ex = collections.defaultdict(lambda:-1)
step=1
cur=0
ex[0]=0
while 1:
    if ex[a[cur]]!=-1:
        cycle = step-ex[a[cur]]
        k-=ex[a[cur]]-1
        #print(k%cycle)
        break
    else:
        ex[a[cur]]=step
        cur=a[cur]
    step+=1

print(ex,k%cycle)
for i in range(k%cycle):
    cur = a[cur]
print(cur+1)

Fixed code:
import collections
 
n,k = list(map(int,input().split()))
a = list(map(int,input().split()))
a = [int(i)-1 for i in a]
 
ex = collections.defaultdict(lambda:-1)
step=1
cur=0
ex[0]=0
while 1:
    if ex[a[cur]]!=-1:
        cycle = step-ex[a[cur]]
        k-=ex[a[cur]]-1
        #print(k%cycle)
        break
    else:
        if step==k:
            print(a[cur]+1)
            exit()
        ex[a[cur]]=step
        cur=a[cur]
    step+=1

#print(ex,k%cycle)
for i in range(k%cycle):
    cur = a[cur]
print(cur+1)
Buggy code:
n, k = map(int, input().split())
a = [0] + list(map(int, input().split()))

loop = [1]
now = 1
d = set([1])
for i in range(n):
    now = a[now]
    if now in d:
        for j in range(len(loop)):
            if now == loop[j]:
                ind = j
                break
    d.add(now)
    loop.append(now)

if len(loop) >= k:
    print(loop[k-1])

else:
    k -= ind
    loop = loop[ind:]
    print(loop[k%len(loop)])


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

loop = [1]
now = 1
d = set([1])
for i in range(n):
    now = a[now]
    if now in d:
        for j in range(len(loop)):
            if now == loop[j]:
                ind = j
        break
    d.add(now)
    loop.append(now)

if len(loop) >= k+1:

    print(loop[k])

else:
    k -= ind
    loop = loop[ind:]
    print(loop[k%len(loop)])
Buggy code:
import sys
import re
import math
import collections
import decimal
import bisect
import itertools
import fractions
import functools
import copy

# import heapq
# from collections import deque
# import decimal

sys.setrecursionlimit(10000001)
INF = sys.maxsize
MOD = 10 ** 9 + 7

ni = lambda: int(sys.stdin.readline())
ns = lambda: map(int, sys.stdin.readline().split())
na = lambda: list(map(int, sys.stdin.readline().split()))


# ===CODE===

def main():
    n, k = ns()
    a = na()
    a = [ai - 1 for ai in a]

    junkan_point = 0
    visited = [0, a[0]]
    next = a[0]

    visited_set = set(visited)

    for _ in range(n):
        if a[next] in visited_set:
            flg = True
            junkan_point = a[next]
            break
        else:
            visited.append(a[next])
            visited_set.add(a[next])
            next = a[next]

    tmp_idx = visited.index(junkan_point)
    junkan_visited = visited[tmp_idx:]

    tmp = len(visited) - len(junkan_visited)
    if k <= tmp:
        print(k)
    else:
        idx = (k-tmp) % len(junkan_visited)
        print(tmp+idx+1)


if __name__ == '__main__':
    main()


Fixed code:
import sys
import re
import math
import collections
import decimal
import bisect
import itertools
import fractions
import functools
import copy

# import heapq
# from collections import deque
# import decimal

sys.setrecursionlimit(10000001)
INF = sys.maxsize
MOD = 10 ** 9 + 7

ni = lambda: int(sys.stdin.readline())
ns = lambda: map(int, sys.stdin.readline().split())
na = lambda: list(map(int, sys.stdin.readline().split()))


# ===CODE===

def main():
    n, k = ns()
    a = na()
    a = [ai - 1 for ai in a]

    junkan_point = 0
    visited = [0, a[0]]
    next = a[0]

    visited_set = set(visited)

    for _ in range(n+5):
        if a[next] in visited_set:
            junkan_point = a[next]
            break
        else:
            visited.append(a[next])
            visited_set.add(a[next])
            next = a[next]

    tmp_idx = visited.index(junkan_point)
    junkan_visited = visited[tmp_idx:]

    tmp = len(visited) - len(junkan_visited)
    if k < tmp:
        print(visited[k]+1)
    else:
        idx = (k - tmp) % len(junkan_visited)
        print(junkan_visited[idx] + 1)


if __name__ == '__main__':
    main()
Buggy code:
import math
from math import gcd
INF = float("inf")

import sys
input=sys.stdin.readline
sys.setrecursionlimit(500*500)
import itertools
from collections import Counter,deque

def main():
    n,k = map(int, input().split())
    a = list(map(int, input().split()))

    c = []
    mark = [-1]*n
    pos,l = 0,0
    while 1:
        if mark[pos] >= 0:
            l = mark[pos]
            break
        mark[pos] = len(c)
        c.append(pos)
        pos = a[pos] - 1
    if k <= 1:
        print(c[k] + 1)
    else:
        k -= l
        print(c[l + k%(len(c) - 1)] + 1)
if __name__=="__main__":
    main()


Fixed code:
import math
from math import gcd
INF = float("inf")

import sys
input=sys.stdin.readline
sys.setrecursionlimit(500*500)
import itertools
from collections import Counter,deque

def main():
    n,k = map(int, input().split())
    a = list(map(int, input().split()))

    c = []
    mark = [-1]*n
    pos,l = 0,0
    while 1:
        if mark[pos] >= 0:
            l = mark[pos]
            break
        mark[pos] = len(c)
        c.append(pos)
        pos = a[pos] - 1
    if k <= l:
        print(c[k] + 1)
    else:
        k -= l
        print(c[l + k%(len(c) - l)] + 1)
if __name__=="__main__":
    main()
Buggy code:
import sys

# print('input >>')
N, K = map(int,(input().split()))
As = list(map(lambda x: int(x)-1,(input().split())))

visited = [0] * N
visited[0] = 1
roots = [0]
now = 0

# print('-----output-----')
while True:
    now = As[now]
    if visited[now] == 1:
        p = now
        rep_start = roots.index(now)
        move = len(roots) - rep_start
        break
    roots.append(now)
    visited[now] = 1

now = 0
if rep_start > K:
    for i in range(K+1):
        now = As[now]
        print(now+1)
        sys.exit()

# now = p
# for i in range(rep_start):
    # now = As[now]


K -= rep_start
K %= move
now = p

# print('K', K)
# print('now',now)

for i in range(K):
    print(now+1)
    now = As[now]

print(now+1)

Fixed code:
import sys

# print('input >>')
N, K = map(int,(input().split()))
As = list(map(lambda x: int(x)-1,(input().split())))

visited = [0] * N
visited[0] = 1
roots = [0]
now = 0

# print('-----output-----')
while True:
    now = As[now]
    if visited[now] == 1:
        p = now
        rep_start = roots.index(now)
        move = len(roots) - rep_start
        break
    roots.append(now)
    visited[now] = 1

now = 0
if rep_start > K:
    for i in range(K):
        now = As[now]
    print(now+1)
    sys.exit()

# now = p
# for i in range(rep_start):
    # now = As[now]


K -= rep_start
K %= move
now = p

# print('K', K)
# print('now',now)

for i in range(K):
    now = As[now]

print(now+1)
Buggy code:
n,k=map(int,input().split())
A=[0]+list(map(int,input().split()))
from collections import defaultdict

reached=defaultdict(int)
reached[1]=1
i=1
for j in range(1,n+1):
    if reached[A[i]]==0:
        reached[A[i]]=j+1
    else:
        t1=reached[A[i]]
        t2=j+1
        break
    i=A[i]
reached=dict(reached)
print(reached)
ama=(k-(t1-1))%(t2-t1)
ans=[s for s,h in reached.items() if h==t1+ama]
print(ans[0])

Fixed code:
n,k=map(int,input().split())
A=[0]+list(map(int,input().split()))
from collections import defaultdict

reached=defaultdict(int)
reached[1]=1
i=1
for j in range(1,n+1):
    if reached[A[i]]==0:
        reached[A[i]]=j+1
    else:
        t1=reached[A[i]]
        t2=j+1
        break
    i=A[i]
reached=dict(reached)
if k>t1-1:
    ama=(k-(t1-1))%(t2-t1)
    ans=[s for s,h in reached.items() if h==t1+ama]
else:
    ans=[s for s,h in reached.items() if h==k+1]
print(ans[0])
Buggy code:
N, K = map(int, input().split())

A_list = [int(a) for a in input().split()]

# print(N, K)
# print(A_list)

keiro = [1]
visit_town = [0]*N

town = 1
c = 1
while True:
    visit_town[town - 1] = c
    c += 1
    town = A_list[town - 1]
    # print('town', town)

    if len(keiro) > 1 and visit_town[town-1] != 0:
        break
    keiro.append(town)

# print(keiro)
# print(visit_town)
# print(town)


first_visit = keiro[:visit_town[A_list[keiro[-1]-1]-1]-1]
loop_visit = keiro[visit_town[A_list[keiro[-1]-1]-1]-1:]

print(first_visit)
print(loop_visit)

if K <= len(first_visit):
    print(first_visit[k - 1])
else:
    l = K - len(first_visit)
    # print(l)
    c = (l-1) % len(loop_visit)
    # print(c)
    print(loop_visit[c-1])

# print(keiro[len(first_visit) + (K - len(first_visit)) % len(loop_visit)])


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

A_list = [int(a) for a in input().split()]

# print(N, K)
# print(A_list)

keiro = [1]
visit_town = [0]*N

town = 1
c = 1
while True:
    visit_town[town - 1] = c
    c += 1
    town = A_list[town - 1]
    # print('town', town)

    if len(keiro) > 1 and visit_town[town-1] != 0:
        break
    keiro.append(town)

# print(keiro)
# print(visit_town)
# print(town)


first_visit = keiro[:visit_town[A_list[keiro[-1]-1]-1]-1]
loop_visit = keiro[visit_town[A_list[keiro[-1]-1]-1]-1:]

# print(first_visit)
# print(loop_visit)

if K <= len(first_visit)-1:
    print(first_visit[K])
else:
    l = K - len(first_visit)
    # print(l)
    c = (l) % len(loop_visit)
    # print(c)
    print(loop_visit[c])

# print(keiro[len(first_visit) + (K - len(first_visit)) % len(loop_visit)])