qyliang/CodeNanoFix huggingface dataset:
Buggy code:
n,k=map(int,input().split())
A=[int(i) for i in input().split()]

went={i:0 for i in range(1,n+1)}

now=1
cnt=1
for i in range(n+1):
    if went[now]>0:
        t=cnt
        s=went[now]
        break
    else:
        went[now]=cnt
        now=A[now-1]
        cnt+=1

val=((k-t)%(t-s+1)-1)%(t-s+1)+s
for ele in went:
    if went[ele]==val:
        print(ele)
        break

Fixed code:
n,k=map(int,input().split())
A=[int(i) for i in input().split()]

went={i:0 for i in range(1,n+1)}

now=1
cnt=1
for i in range(n+1):
    if went[now]>0:
        t=cnt-1
        s=went[now]
        break
    else:
        went[now]=cnt
        now=A[now-1]
        cnt+=1


if k <= t-1:
    val=k+1
else:
    val=((k+1-t)%(t-s+1)-1)%(t-s+1)+s
for ele in went:
    if went[ele]==val:
        print(ele)
        break
Buggy code:
N,K=map(int, input().split())
A = list(map(int, input().split()))

A0=list(range(N))

def calc_zero(n):
    return n * 0

A0 = list(map(calc_zero, A0))

temp=0
tempv=[]

for i in range(K):
  if A0[temp]>=1:
    loop=i-A0[temp]
    t=(K-A0[temp])%loop
    temp=tempv[A0[temp]+t-1]
    break
  else:
    A0[temp]=i
    temp=A[temp]-1
    tempv.append(temp)
    print(i)
    print(temp)

print(tempv)
print(temp+1)

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

A0=list(range(N))

def calc_zero(n):
    return n * 0

A0 = list(map(calc_zero, A0))

temp=0
tempv=[]

for i in range(K):
  if A0[temp]>=1:
    loop=i-A0[temp]
    t=(K-A0[temp])%loop
    temp=tempv[A0[temp]+t-1]
    break
  else:
    A0[temp]=i
    temp=A[temp]-1
    tempv.append(temp)

print(temp+1)
Buggy code:
N, K = map(int, input().split(" "))
A = [i for i in map(int, input().split(" "))]

hist = [0 for i in range(N)]
route = []
loop = []

jump = 1
cur = A[0] - 1
route.append(0)
hist[0] = jump
while hist[cur] == 0:
    jump = jump + 1
    route.append(cur)
    hist[cur] = jump
    cur = A[cur] - 1

loop = route[cur:]

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


Fixed code:
N, K = map(int, input().split(" "))
A = [i for i in map(int, input().split(" "))]

hist = [-1 for i in range(N)]
route = []
loop = []

jump = 0
cur = A[0] - 1
route.append(0)
hist[0] = jump
while hist[cur] == -1:
    jump = jump + 1
    route.append(cur)
    hist[cur] = jump
    cur = A[cur] - 1

loop = route[hist[cur]:]

#print(cur, hist, route, loop)

if K < len(route):
    print(route[K] + 1)
else:
    K = K - len(route)
    #print(K)
    K = K % len(loop)
    #print(K)
    print(loop[K] + 1)
Buggy code:
n, k = map(int, input().split())
a = list(map(int, input().split()))

arr = [-1]*n
next_town = 0
arr[0] = 0
flag = False
for i in range(1, k+1):
    print(next_town+1)
    next_town = a[next_town] - 1
    if arr[next_town] >= 0:
        flag = True
        x = i - arr[next_town]
        l = arr[next_town]
        break
    else:
        arr[next_town] = i
print(flag, x, k%x)
if flag == False:
    print(next_town+1)
else:
    for i in range((k-l)%x):
        print(next_town+1)
        next_town = a[next_town] - 1

    print(next_town+1)

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

arr = [-1]*n
next_town = 0
arr[0] = 0
flag = False
for i in range(1, k+1):
    #print(next_town+1)
    next_town = a[next_town] - 1
    if arr[next_town] >= 0:
        flag = True
        x = i - arr[next_town]
        l = arr[next_town]
        break
    else:
        arr[next_town] = i
#print(flag, x, k%x)
if flag == False:
    print(next_town+1)
else:
    for i in range((k-l)%x):
        #print(next_town+1)
        next_town = a[next_town] - 1

    print(next_town+1)
Buggy code:
n, k = map(int, input().split())
A = [0] + list(map(int, input().split()))
now = 1
used = [-228] * (n + 191)
used[1] = -1
cn = -292
for _ in range(k):
    now = A[now]
    if used[now] != -228:
        cn = _ + 1 - used[now]
        break
    used[now] = _
if cn == -292:
    print(now)
    exit(0)
for i in range(k % cn):
    now = A[now]
print(now)


Fixed code:
n, k = map(int, input().split())
A = [0] + list(map(int, input().split()))
now = 1
used = [-228] * (n + 191)
used[1] = -1
cn = -292
ahah = 1
for _ in range(k):
    now = A[now]
    if used[now] != -228:
        cn = _ + 1 - used[now] - 1
        break
    used[now] = _
    ahah += 1
if cn == -292:
    print(now)
    exit(0)
for i in range((k - ahah) % cn):
    now = A[now]
print(now)
Buggy code:
n,k=map(int,input().split())
a=list(map(int,input().split()))

s=[]
d=[-1]*(n+1)

v=1
while(d[v]==-1):
    d[v]=len(s)
    s.append(v)
    v=a[v-1]
c=len(s)-d[v]
l=d[v]

if(k<l):print(s[k])
else:
    k-=l
    k%=c
    print(k+l)

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

s=[]
d=[-1]*(n+1)

v=1
while(d[v]==-1):
    d[v]=len(s)
    s.append(v)
    v=a[v-1]
c=len(s)-d[v]
l=d[v]

if(k<l):print(s[k])
else:
    k-=l
    k%=c
    print(s[k+l])
Buggy code:
N,K = map(int,input().split())
A = [0] + list(map(int,input().split()))

from collections import deque 
tmp = 1
num = []
seen = [-1]*(N+1)
 
while seen[tmp] == -1:
    seen[tmp] = tmp
    num.append(tmp)
    tmp = A[tmp]


l = num.index(tmp)

if K < len(num):
    print(num[K-1])
else:
    print(K%(len(num)-l) + l)

Fixed code:
N,K = map(int,input().split())
A = [0] + list(map(int,input().split()))

from collections import deque 
tmp = 1
num = []
seen = [-1]*(N+1)
 
while seen[tmp] == -1:
    seen[tmp] = tmp
    num.append(tmp)
    tmp = A[tmp]


l = num.index(tmp)
c = len(num) - l

if K < l:
    print(num[K])
else:
    print(num[(K-l)%c+l])
Buggy code:
N,k=map(int,input().split())
a=list(map(int,input().split()))
for i in range(N):
    a[i]-=1
if a[0]==1:print(1);exit()
c=dict()
visited=[False]*N
visited[0]=True
c[0]=0
cnt=0
dap=0
n=0
b=[0]
while True:
    n=a[n]
    if visited[n]:
        dap=c[n] 
        break
    visited[n]=True
    b.append(n)
    cnt+=1
    c[n]=cnt
l=len(c)
print(b[(k-dap)%(l-dap)+dap]+1,b)

Fixed code:
N,k=map(int,input().split())
a=list(map(int,input().split()))
for i in range(N):
    a[i]-=1
if a[0]==0:print(1);exit()
c=dict()
visited=[False]*N
visited[0]=True
c[0]=0
cnt=0
dap=0
n=0
b=[0]
while True:
    n=a[n]
    if visited[n]:
        dap=c[n] 
        break
    visited[n]=True
    b.append(n)
    cnt+=1
    c[n]=cnt
l=len(c)
if k<dap:
    print(b[k]+1)
else:
    print(b[(k-dap)%(l-dap)+dap]+1)
Buggy code:
def detectCycle(x, a):
    start,length = 0, 1
    p1, p2 = a[x], a[a[x]]
    while p1 != p2:
        p1, p2 = a[p1], a[a[p2]]

    p2 = x
    while p1 != p2:
        p1, p2 = a[p1], a[p2]
        start += 1

    p2 = a[p1]
    while p1 != p2:
        p2 = a[p2]
        length += 1
    
    return start,length

n, k = (int(x) for x in input().split())
a = [-1] + [int(x)-1 for x in input().split()]
start, length = detectCycle(1,a)

loc = 1
k -= start
for i in range(start):
    loc = a[loc]

k %= length
for i in range(k):
    loc = a[loc]
print(loc)

Fixed code:
def detectCycle(a):
    start, length = 0, 1
    p1, p2 = a[1], a[a[1]]
    while p1 != p2:
        p1, p2 = a[p1], a[a[p2]]
    
    p2 = 1
    while p1 != p2:
        p1, p2 = a[p1], a[p2]
        start += 1
    
    p2 = a[p1]
    while p1 != p2:
        p2 = a[p2]
        length += 1
    
    return start, length

n, k = (int(x) for x in input().split())
a = [-1] + [int(x) for x in input().split()]
start, length = detectCycle(a)

loc = 1
for i in range(min(start,k)):
    loc = a[loc]
k = max(k-start,0)

k %= length
for i in range(k):
    loc = a[loc]
print(loc)
Buggy code:
f=lambda:map(int,input().split())
n,k=f()
a=list(f())
lv=[-1]*n
lv[0]=0
p=0
for i in range(n):
  t=a[p]-1
  if lv[t]>=0:
    l,r=lv[t],i+1
    break
  lv[t]=i+1
  p=t
print(lv,l,r)
d,m=divmod(k-l,r-l)
print(d,m)
print(lv.index(l+(k-l)%(r-l) if k>l else k)+1)

Fixed code:
f=lambda:map(int,input().split())
n,k=f()
a=list(f())
lv=[-1]*n
lv[0]=0
p=0
for i in range(n):
  t=a[p]-1
  if lv[t]>=0:
    l,r=lv[t],i+1
    break
  lv[t]=i+1
  p=t
print(lv.index(l+(k-l)%(r-l) if k>l else k)+1)
Buggy code:
n,k = map(int,input().split())
a = list(map(int,input().split()))
path = [1]
pos = 1
TF = [False] + [True]*n
for i in range(k-1):
    pos = a[pos - 1]
    if TF[pos-1]:
        path.append(pos)
    else:
        break
first = path.index(pos)
ans = (k - first) % (len(path) - first) + first
print(path[ans])

Fixed code:
n, k = map(int, input().split())
a = list(map(int, input().split()))
pos = 1
path = [1]
TF = [False] + [True] * (n-1)
for i in range(k):
    pos = a[pos - 1]
    if TF[pos - 1]:
        path.append(pos)
        TF[pos - 1] = False
    else:
        break
first = path.index(pos)
ans = (k - first) % (len(path) - first) + first
print(path[ans])
Buggy code:
n,k= map(int, input().split())
a= list(map(int, input().split()))
a=[0]+a
x=[0]*(n+1)
s=a[1]
x[1]=1
v1=[1]
cnt1=1
v2=[]
cnt2=0
for i in range(10**7):
    print(s,a[s])
    if x[s]==0:
        x[s]+=1
        cnt1+=1
        v1.append(s)
        s=a[s]

    elif x[s]==1:
        cnt2+=1
        x[s] += 1
        v2.append(s)
        s = a[s]
    else:
        break

if k<cnt1:
    print(v1[k])
else:
    q=(k-cnt1)%cnt2
    print(v2[q])

Fixed code:
n,k= map(int, input().split())
a= list(map(int, input().split()))
a=[0]+a
x=[0]*(n+1)
s=a[1]
x[1]=1
v1=[1]
cnt1=1
v2=[]
cnt2=0
for i in range(10**7):
    if x[s]==0:
        x[s]+=1
        cnt1+=1
        v1.append(s)
        s=a[s]

    elif x[s]==1:
        cnt2+=1
        x[s] += 1
        v2.append(s)
        s = a[s]
    else:
        break

if k<cnt1:
    print(v1[k])
else:
    q=(k-cnt1)%cnt2
    print(v2[q])
Buggy code:
import sys

n, k, *aaa = map(int, sys.stdin.buffer.read().split())
shortest = [-1] * n
v = 0
d = 0
while shortest[v] == -1:
    shortest[v] = d
    v = aaa[v] - 1
    d += 1
    if d == k:
        print(v + 1)
        exit()

first = shortest[v]
loop = d - first
remaining = (k - first) % loop
print(v, first, loop, remaining + first, shortest)
ans = shortest.index(remaining + first) + 1
print(ans)


Fixed code:
import sys

n, k, *aaa = map(int, sys.stdin.buffer.read().split())
shortest = [-1] * n
v = 0
d = 0
while shortest[v] == -1:
    shortest[v] = d
    v = aaa[v] - 1
    d += 1
    if d == k:
        print(v + 1)
        exit()

first = shortest[v]
loop = d - first
remaining = (k - first) % loop
# print(v, first, loop, remaining + first, shortest)
ans = shortest.index(remaining + first) + 1
print(ans)
Buggy code:
N, K = [int(i) for i in input().split(' ')]
A = [0]
A.extend([int(a) for a in input().split(' ')])
check_list = [0] * (N + 1)

town = 1
check_point = 0
initial = -1
interval = -1

print(A)

for k in range(K):
    if check_list[town] > 0:
        check_point = town
        initial = check_list[town]
        interval = k - initial
        break
    check_list[town] = k
    print(check_list)
    town = A[town]

remain = K - k

rem = remain % interval

print(rem, remain, interval, initial)

check_list_ = list(map(lambda x: x - initial, check_list))

print(check_list_)

for i, c in enumerate(check_list_):
    if c == rem:
        print(i)
        exit(0)

Fixed code:
N, K = [int(i) for i in input().split(' ')]
A = [0]
A.extend([int(a) for a in input().split(' ')])
check_list = [0] * (N + 1)

town = 1
check_point = 0
initial = -1
interval = -1

for k in range(K):
    if check_list[town] > 0:
        check_point = town
        initial = check_list[town]
        interval = k - initial
        break
    check_list[town] = k
    town = A[town]

if interval == -1:
    print(town)
    exit(0)

remain = K - k

rem = remain % interval

check_list_ = list(map(lambda x: x - initial, check_list))

for i, c in enumerate(check_list_):
    if c == rem:
        print(i)
        exit(0)
Buggy code:
n,k = map(int,input().split())
a = input().split()
b = [0]*n
d = {}
ind = 1
num = 0
while True:
    if b[ind-1] == 0:
        b[ind-1] = -1
        d[ind] = num
        num += 1
        ind = int(a[ind-1])
    else:
        loop = num-d[ind]
        sup = d[ind]
        break


for i in range((k-sup)%loop):
    ind = int(a[ind-1])
print(int(a[ind]))

Fixed code:
n,k = map(int,input().split())
a = input().split()
b = [0]*n
d = {}
ind = 1
num = 0
loop = 1
sup =0

while num != k:
  if b[ind-1] == 0:
    b[ind-1] = -1
    d[ind] = num
    num += 1
    ind = int(a[ind-1])
  else:
    loop = num-d[ind]
    sup = d[ind]
    break

if k-sup >=0:
  for i in range((k-sup)%loop):
    ind = int(a[ind-1])

print(ind)
Buggy code:
n, k = map(int,input().split())
f = [int(x)-1 for x in input().split()]

def tortoise_and_hare(s,f):
    tortoise = f[s]
    hare = f[f[s]]

    while tortoise != hare:
        tortoise = f[tortoise]
        hare = f[f[hare]]

    rho = 0
    tortoise = s
    while tortoise != hare:
        tortoise = f[tortoise]
        hare = f[hare]
        rho += 1

    lamb = 1
    hare = f[hare]

    while tortoise != hare:
        hare = f[hare]
        lamb += 1

    return rho,lamb

rho, lamb = tortoise_and_hare(0,f)
print(rho,lamb)
if k <= rho:
    s = 0
    for i in range(k):
        s = f[s]
else:
    s = 0
    for i in range(rho):
        s = f[s]
    k = (k-rho)%lamb
    for i in range(k):
        s = f[s]

print(s+1)


Fixed code:
n, k = map(int,input().split())
f = [int(x)-1 for x in input().split()]

def tortoise_and_hare(s,f):
    tortoise = f[s]
    hare = f[f[s]]

    while tortoise != hare:
        tortoise = f[tortoise]
        hare = f[f[hare]]

    rho = 0
    tortoise = s
    while tortoise != hare:
        tortoise = f[tortoise]
        hare = f[hare]
        rho += 1

    lamb = 1
    hare = f[hare]

    while tortoise != hare:
        hare = f[hare]
        lamb += 1

    return rho,lamb

rho, lamb = tortoise_and_hare(0,f)

if k <= rho:
    s = 0
    for i in range(k):
        s = f[s]
else:
    s = 0
    for i in range(rho):
        s = f[s]
    k = (k-rho)%lamb
    for i in range(k):
        s = f[s]

print(s+1)
Buggy code:
N,K=(int(x) for x in input().split())
A=list(map(int, input().split()))
if K<=2*N:
    s=1
    for i in range(K):
        s=A[s-1]
    print(s)
else:
    s=1
    S={1}
    iloop=1
    while A[s-1] not in S:
        S.add(A[s-1])
        s=A[s-1]
        iloop=iloop+1
    p=s
    loop=1
    while A[s-1] != p:
        loop=loop+1
        s=A[s-1]
    g=(K-iloop)%loop+iloop
    s=1
    for i in range(g):
        s=A[s-1]
    print(s)
    print(iloop,loop,g)


Fixed code:
N,K=(int(x) for x in input().split())
A=list(map(int, input().split()))
if K<=N:
    s=1
    for i in range(K):
        s=A[s-1]
    print(s)
else:
    s=1
    S={1}
    iloop=1
    while A[s-1] not in S:
        S.add(A[s-1])
        s=A[s-1]
        iloop=iloop+1
    p=s
    loop=1
    while A[s-1] != p:
        loop=loop+1
        s=A[s-1]
    g=(K-iloop)%loop+iloop
    s=1
    for i in range(g):
        s=A[s-1]
    print(s)
Buggy code:
n,k = map(int ,input().split())
A = tuple(map(int, input().split()))
seen = [-1]*n
tmp = 0
count = 0

while True:
    tmp = A[tmp]-1
    count +=1
    if seen[tmp] != -1:
        seennum = seen.count(1)



        tm = tmp
        se = [-1]*n
        roopmem = []
        while True:
            roopmem.append(tm)
            tm = A[tm]-1
            if se[tm] != -1:
                roop = se.count(1)
                break
            se[tm] = 1
        break
    else:
        seen[A[tmp]-1] = 1

if k<n:
    no = 0
    for i in range(k):
        no = A[no]-1
    print(no+1)
else:
    tmp = k-seennum+roop
    tmp %= roop
    print(roopmem[tmp+1]+1)

Fixed code:
n,k = map(int ,input().split())
A = tuple(map(int, input().split()))
seen = [-1]*n
tmp = 0
count = 0

while True:
    tmp = A[tmp]-1
    count +=1
    if seen[tmp] != -1:
        seennum = seen.count(1)

        tm = tmp
        se = [-1]*n
        roopmem = []
        while True:

            if se[tm] != -1:
                roop = se.count(1)
                break
            else:
                roopmem.append(tm)
                se[tm] = 1
                tm = A[tm] - 1

        break
    else:
        seen[tmp] = 1

if k<=n:
    no = 0
    for i in range(k):
        no = A[no]-1
    print(no+1)
else:
    tmp = k-seennum
    tmp %= roop
    print(roopmem[tmp-1]+1)
Buggy code:
n, k = map(int, input().split())
a = list(map(int,input().split()))
timestamp = [0]*n
position = 1
period = 0
start=0
for i in range(n):
  if timestamp[position-1] != 0:
    start = timestamp[position-1]
    period = i-timestamp[position-1]
    break
  timestamp[position-1] =i
  position = a[position-1]
print(period,start)


if k <=start:
  position = 1
  for i in range(k-1):
    position = a[position-1]
  print(position)
  
else:
  cycle = (k-start)%period
  for i in range(cycle):
    position = a[position-1]
  print(position) 
  

Fixed code:
n, k = map(int, input().split())
a = list(map(int,input().split()))
timestamp = [0]*n
position = 1
period = 0
start=0
for i in range(n*2):
  if timestamp[position-1] != 0:
    start = timestamp[position-1]
    period = i-timestamp[position-1]
    break
  timestamp[position-1] =i
  position = a[position-1]
  

if k <=start:
  position = 1
  for i in range(k):
    position = a[position-1]
  print(position)
  
else:
  cycle = (k-start)%period
  for i in range(cycle):
    position = a[position-1]
  print(position)
Buggy code:
N,K = map(int,input().split())
A = list(map(int,input().split()))

town = [0 for i in range(N)]

def next(A,now):
    return(A[now-1])

now = 1
i = 0
while True:
    if town[now-1] != 0:
        roop_start = town[now-1]
        roop_end = i
        break
    town[now-1] = i+1
    now = next(A,now)
    i += 1

roop = roop_end - roop_start + 1
teleport = roop_start + (K - roop_start)%roop
print(teleport)
now = 1
for i in range(teleport):
    now = next(A,now)

print(now)


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

town = [0 for i in range(N+1)]

def next(A,now):
    return(A[now-1])

now = 1
i = 0
while True:
    if town[now] != 0:
        roop_start = town[now]
        roop_end = i
        break
    town[now] = i+1
    now = next(A,now)
    i += 1

roop = roop_end - roop_start + 1
teleport = min(roop_start + (K - roop_start)%roop,K)

now = 1
for i in range(teleport):
    now = next(A,now)

print(now)
Buggy code:
N, K = map(int, input().split())
A = list(map(int, input().split()))

m = {}
for i, a in enumerate(A):
    m[i+1] = a

visited = []
cycle = set()
current_city = 1
visited.append(current_city)
cycle.add(current_city)
cycle_start_index = -1
while 1:
    current_city = m[current_city]
    if current_city in cycle:
        cycle_start_index = visited.index(current_city)
        break
    else:
        visited.append(current_city)
        cycle.add(current_city)

cycle_before = visited[:cycle_start_index]
cycle_after = visited[cycle_start_index:]
if len(cycle_before) > K:
    print(cycle_after[(K - len(cycle_before)) % len(cycle_after)])
else:
    print(cycle_before[K - 1])

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

m = {}
for i, a in enumerate(A):
    m[i+1] = a

visited = []
cycle = set()
current_city = 1
visited.append(current_city)
cycle.add(current_city)
cycle_start_index = -1
while 1:
    current_city = m[current_city]
    if current_city in cycle:
        cycle_start_index = visited.index(current_city)
        break
    else:
        visited.append(current_city)
        cycle.add(current_city)

cycle_before = visited[:cycle_start_index]
cycle_after = visited[cycle_start_index:]
if len(cycle_before) - 1 < K:
    print(cycle_after[(K - len(cycle_before)) % len(cycle_after)])
else:
    print(cycle_before[K])
Buggy code:
n, k = map(int, input().split())
a = list(map(int, input().split()))
 
l = [1]
for i in range(n):
    l.append(a[l[i] - 1])
 
p = l.index(l[n])
 
if k <= n:
    print(l[k])
else:
    x = (k - n + 1) % (n - p)
    if x == 0:
        print(l[n - 1])

Fixed code:
n, k = map(int, input().split())
a = list(map(int, input().split()))
 
l = [1]
for i in range(n):
    l.append(a[l[i] - 1])
 
p = l.index(l[n])
 
if k <= n:
    print(l[k])
else:
    x = (k - n + 1) % (n - p)
    if x == 0:
        print(l[n - 1])
    else:
        print(l[x + p - 1])
Buggy code:
N, K = map(int, input().split())
T_list = list(map(int, input().split()))
T_list = [T_list[i]-1 for i in range(N)]

if K < N:
  while i < K:
  point = T_list[point]
  i += 1  

else:
  point = 0
  syuuki = 0
  i = 0
  while i < N:
    point = T_list[point]
    if point == 0:
      syuuki = i+1
      break
    i += 1

  second_point = point
  if syuuki != 0:
    L = K % syuuki

  else:
    j = 0
    while j < N:
      point = T_list[point]
      if point == second_point:
        syuuki = j+1
        break
      j += 1
    L = (K-i) % syuuki

  k = 0
  while k < L:
    point = T_list[point]
    k += 1
  
print(point+1)

Fixed code:
N, K = map(int, input().split())
T_list = list(map(int, input().split()))
T_list = [T_list[i]-1 for i in range(N)]
point = 0
syuuki = 0

if K < N:
  i = 0
  while i < K:
    point = T_list[point]
    i += 1  

else:
  i = 0
  while i < N:
    point = T_list[point]
    if point == 0:
      syuuki = i+1
      break
    i += 1
  second_point = point
  
  if syuuki != 0:
    L = K % syuuki

  else:
    j = 0
    while j < N:
      point = T_list[point]
      if point == second_point:
        syuuki = j+1
        break
      j += 1
    L = (K-i) % syuuki

  k = 0
  while k < L:
    point = T_list[point]
    k += 1
  
print(point+1)
Buggy code:
n,k = map(int,input().split())
A = [0]+list(map(int,input().split()))
visited = [False for _ in range(n+1)]
pos = 1
x = []
flg = False
for i in range(k):
    if visited[pos] == False:
        x.append(pos)
        visited[pos] = True
        pos = A[pos]
    else:
        flg = True
        pre = x.index(pos)
        loop = x[pre:]
        break
if not flg:
    print(pos)
else:
    print(loop[(k-pre)%len(loop)])
~                                   

Fixed code:
n,k = map(int,input().split())
A = [0]+list(map(int,input().split()))
visited = [False for _ in range(n+1)]
pos = 1
x = []
flg = False
for i in range(k):
    if visited[pos] == False:
        x.append(pos)
        visited[pos] = True
        pos = A[pos]
    else:
        flg = True
        pre = x.index(pos)
        loop = x[pre:]
        break
if not flg:
    print(pos)
else:
    print(loop[(k-pre)%len(loop)])
Buggy code:
#!/usr/bin/env python
# -*- coding: utf-8 -*-


def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))

    R = [False] * (N + 1)
    D = []

    p = 1

    while True:
        if R[p]:
            break
        D.append(p)
        R[p] = True
        p = A[p - 1]

    m = D.index(p)
    c = len(D) - m

    if K <= m:
        print(D[K])
    else:
        print(D[m + K - m] % c)


if __name__ == "__main__":
    main()


Fixed code:
#!/usr/bin/env python
# -*- coding: utf-8 -*-


def main():
    N, K = map(int, input().split())
    A = list(map(int, input().split()))

    R = [False] * (N + 1)
    D = []

    p = 1

    while True:
        if R[p]:
            break
        D.append(p)
        R[p] = True
        p = A[p - 1]

    m = D.index(p)
    c = len(D) - m

    if K <= m:
        print(D[K])
    else:
        print(D[m + (K - m) % c])


if __name__ == "__main__":
    main()
Buggy code:
import sys
sys.setrecursionlimit(10**6)

n, k = map(int, input().split())
A = list(map(int, input().split()))
L = [1]
S = {1}
def f(L, S):
    last = L[-1]-1
    if A[last] not in S:
        L.append(A[last])
        S |= {last}
        return f(L, S)
    else:
        return L
P = f(L, S)
a = A[P[-1]-1]
j = P.index(a)
r = len(P)
l = r - j

if k+1 <= j:
    print(P[k])
else:
    print(P[j+(k-j)%l])

Fixed code:
import sys
sys.setrecursionlimit(10**6)

n, k = map(int, input().split())
A = list(map(int, input().split()))
L = [1]
S = {1}

def f(L, S):
    last = L[-1]-1
    if A[last] not in S:
        L.append(A[last])
        S |= {A[last]}
        return f(L, S)
    else:
        return L
P = f(L, S)
a = A[P[-1]-1]
j = P.index(a)
r = len(P)
l = r - j

if k+1 <= j:
    print(P[k])
else:
    print(P[j+(k-j)%l])