Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
from bisect import bisect_right
N,K,*A = map(int, open(0).read().split())
a = A[0]
p = 0
ls = []
dic = defaultdict(list)
for i,c in enumerate(A):
  dic[c].append(i)
while True:
  ls.append(p)
  ind = bisect_right(dic[a],p%N)
  if ind==len(dic[a]):
    ind = 0
    p += N
  p = (p//N)*N+dic[a][ind]+1
  if p%N==0:
    M = p//N
    break
  a = A[p%N]
K %= M
X = N*K
I = bisect_right(ls,X)-1
X -= ls[I]
p = ls[I]%N
S = set()
cnt = 0
ans = []
while X:
  if A[p] not in S:
    S.add(A[p])
    ans.append(A[p])
    cnt += 1
  else:
    i = ans.index(A[p])
    ans = ans[:i]
    cnt = i
  X -= 1
  p += 1
  p %= N
print(' '.join(map(str,ans)))    

Fixed submission:
from bisect import bisect_left
from collections import defaultdict
N, K, *A = map(int, open(0).read().split())
dic = defaultdict(list)
for i, a in enumerate(A):
  dic[a] += [i]
ls = []
ps = 0
m = A[0]
cycle = 0
while True:
  ls.append(ps+N*cycle+1)
  i = bisect_left(dic[m],ps+1)
  ps = dic[m][i%len(dic[m])]
  if i>=len(dic[m]):
    cycle += 1
  ps += 1
  ps %= N
  m = A[ps]
  if ps==0:
    cycle += 1
    break
k = K%cycle
j = bisect_left(ls,k*N)
if ls[j]==k*N:
  c = (ls[j]-1)%N
  print(A[c])
elif ls[j]==k*N+1:
  pass
else:
  c = (ls[j-1]-1)%N
  M = k*N-ls[j-1]
  ans = [A[c]]
  log = set(ans)
  ind = {}
  ind[A[c]] = 0
  cnt = 0
  while M:
    c += 1
    c %= N
    cnt += 1
    cnt %= N
    M -= 1
    if not A[c] in log:
      log.add(A[c])
      ind[A[c]] = cnt
      ans += [A[c]]
    else:
      log.remove(A[c])
      ans = ans[:ind[A[c]]]
      log = set(ans)
      cnt = ind[A[c]]-1
  print(*ans)

Buggy python submission (verdict: Runtime Error):
from bisect import bisect_left
from collections import defaultdict
N, K, *A = map(int, open('0').read().split())
dic = defaultdict(list)
for i, a in enumerate(A):
  dic[a] += [i]
ls = []
ps = 0
m = A[0]
cycle = 0
while True:
  ls.append(ps+N*cycle+1)
  i = bisect_left(dic[m],ps+1)
  ps = dic[m][i%len(dic[m])]
  if i>=len(dic[m]):
    cycle += 1
  ps += 1
  ps %= N
  m = A[ps]
  if ps==0:
    cycle += 1
    break
k = K%cycle
j = bisect_left(ls,k*N)
if ls[j]==k*N:
  c = (ls[j]-1)%N
  print(A[c])
elif ls[j]==k*N+1:
  pass
else:
  c = (ls[j-1]-1)%N
  M = k*N-ls[j-1]
  ans = [A[c]]
  log = set(ans)
  ind = {}
  ind[A[c]] = 0
  cnt = 0
  while M:
    c += 1
    c %= N
    cnt += 1
    cnt %= N
    M -= 1
    if not A[c] in log:
      log.add(A[c])
      ind[A[c]] = cnt
      ans += [A[c]]
    else:
      log.remove(A[c])
      ans = ans[:ind[A[c]]]
      cnt = ind[A[c]]-1
  print(*ans)

Fixed submission:
from bisect import bisect_left
from collections import defaultdict
N, K, *A = map(int, open(0).read().split())
dic = defaultdict(list)
for i, a in enumerate(A):
  dic[a] += [i]
ls = []
ps = 0
m = A[0]
cycle = 0
while True:
  ls.append(ps+N*cycle+1)
  i = bisect_left(dic[m],ps+1)
  ps = dic[m][i%len(dic[m])]
  if i>=len(dic[m]):
    cycle += 1
  ps += 1
  ps %= N
  m = A[ps]
  if ps==0:
    cycle += 1
    break
k = K%cycle
j = bisect_left(ls,k*N)
if ls[j]==k*N:
  c = (ls[j]-1)%N
  print(A[c])
elif ls[j]==k*N+1:
  pass
else:
  c = (ls[j-1]-1)%N
  M = k*N-ls[j-1]
  ans = [A[c]]
  log = set(ans)
  ind = {}
  ind[A[c]] = 0
  cnt = 0
  while M:
    c += 1
    c %= N
    cnt += 1
    cnt %= N
    M -= 1
    if not A[c] in log:
      log.add(A[c])
      ind[A[c]] = cnt
      ans += [A[c]]
    else:
      log.remove(A[c])
      ans = ans[:ind[A[c]]]
      log = set(ans)
      cnt = ind[A[c]]-1
  print(*ans)