Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_right
from collections import defaultdict
import sys
input=sys.stdin.readline


def solve():
    N, K = map(int, input().split())
    *A, = map(int, input().split())
    dd = defaultdict(list)

    for i, j in enumerate(A):
        dd[j].append(i)

    conv = [0] * (N+1)
    for i, j in enumerate(A):
        pos = i

        while pos < N:
            v = A[pos]
            p = bisect_right(dd[v], pos)
            size = len(dd[v])
            if p < size:
                pos = dd[v][p]+1
                if pos == N:
                    conv[i] = 0
                    break
            else:
                conv[i] = dd[A[pos]][0] + 1
                break
    conv[N] = 0

    dp = [[0]*(N+1) for _ in range(41)]
    for i in range(N+1):
        dp[0][i] = conv[i]

    for k in range(1, 41):
        for n in range(N+1):
            dp[k][n] = dp[k - 1][dp[k - 1][n]]

    res = []
    t = K-1
    for i in range(41):
        if (t>>i)&1:
            res.append(i)
        
    pos = 0
    for i in res:
        pos = dp[i][pos]

    ans = []
    while pos < N:
        num = A[pos]
        pp = bisect_right(dd[num], pos)
        if pp < len(dd[num]):
            pos = dd[num][pp]+1
        else:
            ans.append(num)
            pos += 1
    print(*ans)


if __name__ == "__main__":
    solve()


Fixed submission:
from collections import defaultdict, Counter
from bisect import bisect_right, bisect_left

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

c = Counter(A)
target = []
d = defaultdict(list)

dd = defaultdict(list)
for i, j in enumerate(A):
    dd[j].append(i)

pos = 0
loop = 1
l = []

while pos < N:
    num = A[pos]
    
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        pos = dd[num][0]+1            
        loop += 1
    l.append((num, pos, loop))

for v, pos, p in l:
    if (K-p)%loop==0:
        break

pos = pos if pos<N else 0
ans = []
while pos < N:
    num = A[pos]
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        ans.append(num)
        pos += 1
print(*ans)

Buggy python submission (verdict: Time Limit Exceeded):
from bisect import bisect_right
from collections import defaultdict

N, K = map(int, input().split())
*A, = map(int, input().split())
dd = defaultdict(list)

for i, j in enumerate(A):
    dd[j].append(i)

conv = [0] * (N+1)
for i, j in enumerate(A):
    pos = i

    while pos < N:
        v = A[pos]
        p = bisect_right(dd[v], pos)
        size = len(dd[v])
        if p < size:
            pos = dd[v][p]+1
            if pos == N:
                conv[i] = 0
                break
        else:
            conv[i] = dd[A[pos]][0] + 1
            break
conv[N] = 0

dp = [[0]*(N+1) for _ in range(60)]
for i in range(N+1):
    dp[0][i] = conv[i]

for k in range(1, 60):
    for n in range(N+1):
        dp[k][n] = dp[k - 1][dp[k - 1][n]]

res = []
t = K-1
for i in range(60):
    if (t>>i)&1:
        res.append(i)
    
pos = 0
for i in res:
    pos = dp[i][pos]

ans = []
while pos < N:
    num = A[pos]
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        ans.append(num)
        pos += 1
print(*ans)

Fixed submission:
from collections import defaultdict, Counter
from bisect import bisect_right, bisect_left

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

c = Counter(A)
target = []
d = defaultdict(list)

dd = defaultdict(list)
for i, j in enumerate(A):
    dd[j].append(i)

pos = 0
loop = 1
l = []

while pos < N:
    num = A[pos]
    
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        pos = dd[num][0]+1            
        loop += 1
    l.append((num, pos, loop))

for v, pos, p in l:
    if (K-p)%loop==0:
        break

pos = pos if pos<N else 0
ans = []
while pos < N:
    num = A[pos]
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        ans.append(num)
        pos += 1
print(*ans)

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict
from bisect import bisect_right

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

dd = defaultdict(list)
for i, j in enumerate(A):
    dd[j].append(i)

pos = 0
loop = 1
# l = []
cic = defaultdict(list)

while pos < N:
    num = A[pos]
    
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        pos = dd[num][0]+1            
        loop += 1
    # l.append((pos, loop))
    cic[loop].append(pos)

# for pos, v in l:
#     if (K-v)%loop==0:
#         break

if cic[K%loop]:
    print()
else:
    pos = cic[K%loop][0] #pos if pos<N else 0
    ans = []
    while pos < N:
        num = A[pos]
        pp = bisect_right(dd[num], pos)
        if pp < len(dd[num]):
            pos = dd[num][pp]+1
        else:
            ans.append(num)
            pos += 1
    print(*ans)


Fixed submission:
from collections import defaultdict, Counter
from bisect import bisect_right, bisect_left

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

c = Counter(A)
target = []
d = defaultdict(list)

dd = defaultdict(list)
for i, j in enumerate(A):
    dd[j].append(i)

pos = 0
loop = 1
l = []

while pos < N:
    num = A[pos]
    
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        pos = dd[num][0]+1            
        loop += 1
    l.append((num, pos, loop))

for v, pos, p in l:
    if (K-p)%loop==0:
        break

pos = pos if pos<N else 0
ans = []
while pos < N:
    num = A[pos]
    pp = bisect_right(dd[num], pos)
    if pp < len(dd[num]):
        pos = dd[num][pp]+1
    else:
        ans.append(num)
        pos += 1
print(*ans)