Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
As = list(map(int, input().split()))

def getDistNexts(As):
    lenA = len(As)
    poss = dict()
    for i, A in enumerate(As):
        if A not in poss:
            poss[A] = i + lenA

    distNexts = [0]*(lenA)
    for i in reversed(range(lenA)):
        distNexts[i] = poss[As[i]] - i
        poss[As[i]] = i
    return distNexts

distNexts = getDistNexts(As)

maxD = (N*K).bit_length() - 1

dp = [[0]*(N) for _ in range(maxD+1)]
for i in range(N):
    dp[0][i] = distNexts[i] + 1
for d in range(1, maxD+1):
    for i in range(N):
        i2 = i + dp[d-1][i]
        dp[d][i] = i2 + dp[d-1][i2%N] - i

iNow = 0
dist = 0
for d in reversed(range(maxD+1)):
    if dist+dp[d][iNow] <= N*K-1:
        dist += dp[d][iNow]
        iNow = dist%N

Ss = []
setS = set()
for A in As[iNow:]:
    if A in setS:
        S = ''
        while S != A:
            S = Ss.pop()
            setS.remove(S)
    else:
        Ss.append(A)
        setS.add(A)

if Ss:
    print(' '.join(map(str, Ss)))


Fixed submission:
def solve():
    N, K = map(int, input().split())
    As = list(map(int, input().split()))

    def getDistNexts(As):
        lenA = len(As)
        poss = dict()
        for i, A in enumerate(As):
            if A not in poss:
                poss[A] = i + lenA

        distNexts = [0]*(lenA)
        for i in reversed(range(lenA)):
            distNexts[i] = poss[As[i]] - i
            poss[As[i]] = i
        return distNexts

    distNexts = getDistNexts(As)

    NK = N*K
    maxD = (NK).bit_length() - 1

    dp = [[0]*(N) for _ in range(maxD+1)]
    for i in range(N):
        dp[0][i] = distNexts[i] + 1
    for d in range(1, maxD+1):
        for i in range(N):
            i2 = i + dp[d-1][i]
            dp[d][i] = i2 + dp[d-1][i2%N] - i

    iNow = 0
    dist = 0
    for d in reversed(range(maxD+1)):
        if dist+dp[d][iNow] < NK:
            dist += dp[d][iNow]
            iNow = dist%N

    Ss = []
    setS = set()
    for A in As[iNow:]:
        if A in setS:
            S = ''
            while S != A:
                S = Ss.pop()
                setS.remove(S)
        else:
            Ss.append(A)
            setS.add(A)

    if Ss:
        print(' '.join(map(str, Ss)))


solve()

Buggy python submission (verdict: Time Limit Exceeded):
N, K = map(int, input().split())
As = list(map(int, input().split()))

def getDistNexts(As):
    lenA = len(As)
    poss = dict()
    for i, A in enumerate(As):
        if A not in poss:
            poss[A] = i + lenA

    distNexts = [0]*(lenA)
    for i in reversed(range(lenA)):
        distNexts[i] = poss[As[i]] - i
        poss[As[i]] = i
    return distNexts

distNexts = getDistNexts(As)

maxD = (N*K).bit_length() - 1

dp = [[0]*(N) for _ in range(maxD+1)]
for i in range(N):
    dp[0][i] = distNexts[i] + 1
for d in range(1, maxD+1):
    for i in range(N):
        i2 = i + dp[d-1][i]
        dp[d][i] = i2 + dp[d-1][i2%N] - i

iNow = 0
dist = 0
for d in reversed(range(maxD+1)):
    if dist+dp[d][iNow] <= N*K-1:
        dist += dp[d][iNow]
        iNow = dist%N

Ss = []
setS = set()
for A in As[iNow:]:
    if A in setS:
        S = ''
        while S != A:
            S = Ss.pop()
            setS.remove(S)
    else:
        Ss.append(A)
        setS.add(A)

if Ss:
    print(' '.join(map(str, Ss)))


Fixed submission:
def solve():
    N, K = map(int, input().split())
    As = list(map(int, input().split()))

    def getDistNexts(As):
        lenA = len(As)
        poss = dict()
        for i, A in enumerate(As):
            if A not in poss:
                poss[A] = i + lenA

        distNexts = [0]*(lenA)
        for i in reversed(range(lenA)):
            distNexts[i] = poss[As[i]] - i
            poss[As[i]] = i
        return distNexts

    distNexts = getDistNexts(As)

    NK = N*K
    maxD = (NK).bit_length() - 1

    dp = [[0]*(N) for _ in range(maxD+1)]
    for i in range(N):
        dp[0][i] = distNexts[i] + 1
    for d in range(1, maxD+1):
        for i in range(N):
            i2 = i + dp[d-1][i]
            dp[d][i] = i2 + dp[d-1][i2%N] - i

    iNow = 0
    dist = 0
    for d in reversed(range(maxD+1)):
        if dist+dp[d][iNow] < NK:
            dist += dp[d][iNow]
            iNow = dist%N

    Ss = []
    setS = set()
    for A in As[iNow:]:
        if A in setS:
            S = ''
            while S != A:
                S = Ss.pop()
                setS.remove(S)
        else:
            Ss.append(A)
            setS.add(A)

    if Ss:
        print(' '.join(map(str, Ss)))


solve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys

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

# 各文字が最初に出現するインデックス
posFirst = {}
for i, A in enumerate(As):
    if A not in posFirst:
        posFirst[A] = i + N

# 次に同じ文字が出現するインデックス
nexts = [-1] * N
posLast = {}
for i in reversed(range(N)):
    A = As[i]
    if A not in posLast:
        nexts[i] = posFirst[A]
    else:
        nexts[i] = posLast[A]
    posLast[A] = i

v0s = [-1] * N
v2s = [-1] * N
for i in range(N):
    if nexts[i] < N-1:
        v2s[i] = nexts[i] + 1
        v0s[nexts[i] + 1] = i
    else:
        v2s[i] = i

v9s = [-1] * N
for i in reversed(range(N)):
    if v9s[i] == -1:
        v9s[i] = v2s[i]
    v9s[v0s[i]] = v9s[i]

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow]
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if vNow == N-1:
        break
    vNow += 1

K %= (numLoop+1)

if K == 0:
    print()
    sys.exit()

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow] + 1
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if numLoop == K-1:
        break

ss = []
s2s = set()
for v in range(vNow, N):
    X = As[v]
    if X not in s2s:
        ss.append(X)
        s2s.add(X)
    else:
        s = ss.pop()
        s2s.discard(s)
        while s != X:
            s = ss.pop()
            s2s.discard(s)

print(' '.join(map(str, ss)))



Fixed submission:
def solve():
    N, K = map(int, input().split())
    As = list(map(int, input().split()))

    def getDistNexts(As):
        lenA = len(As)
        poss = dict()
        for i, A in enumerate(As):
            if A not in poss:
                poss[A] = i + lenA

        distNexts = [0]*(lenA)
        for i in reversed(range(lenA)):
            distNexts[i] = poss[As[i]] - i
            poss[As[i]] = i
        return distNexts

    distNexts = getDistNexts(As)

    NK = N*K
    maxD = (NK).bit_length() - 1

    dp = [[0]*(N) for _ in range(maxD+1)]
    for i in range(N):
        dp[0][i] = distNexts[i] + 1
    for d in range(1, maxD+1):
        for i in range(N):
            i2 = i + dp[d-1][i]
            dp[d][i] = i2 + dp[d-1][i2%N] - i

    iNow = 0
    dist = 0
    for d in reversed(range(maxD+1)):
        if dist+dp[d][iNow] < NK:
            dist += dp[d][iNow]
            iNow = dist%N

    Ss = []
    setS = set()
    for A in As[iNow:]:
        if A in setS:
            S = ''
            while S != A:
                S = Ss.pop()
                setS.remove(S)
        else:
            Ss.append(A)
            setS.add(A)

    if Ss:
        print(' '.join(map(str, Ss)))


solve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys

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

# 各文字が最初に出現するインデックス
posFirst = {}
for i, A in enumerate(As):
    if A not in posFirst:
        posFirst[A] = i + N

# 次に同じ文字が出現するインデックス
nexts = [-1] * N
posLast = {}
for i in reversed(range(N)):
    A = As[i]
    if A not in posLast:
        nexts[i] = posFirst[A]
    else:
        nexts[i] = posLast[A]
    posLast[A] = i

v0s = [-1] * N
v2s = [-1] * N
for i in range(N):
    if nexts[i] < N-1:
        v2s[i] = nexts[i] + 1
        v0s[nexts[i] + 1] = i
    else:
        v2s[i] = i

v9s = [-1] * N
for i in reversed(range(N)):
    if v9s[i] == -1:
        v9s[i] = v2s[i]
    v9s[v0s[i]] = v9s[i]

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow]
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if vNow == N-1:
        break
    vNow += 1

K %= (numLoop+1)

if K == 0:
    print()
    sys.exit()

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow] + 1
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if numLoop == K-1:
        break

ss = []
s2s = set()
for v in range(vNow, N):
    X = As[v]
    if X not in s2s:
        ss.append(X)
        s2s.add(X)
    else:
        s = ss.pop()
        s2s.discard(s)
        while s != X:
            s = ss.pop()
            s2s.discard(s)

print(' '.join(map(str, ss)))



Fixed submission:
def solve():
    N, K = map(int, input().split())
    As = list(map(int, input().split()))

    def getDistNexts(As):
        lenA = len(As)
        poss = dict()
        for i, A in enumerate(As):
            if A not in poss:
                poss[A] = i + lenA

        distNexts = [0]*(lenA)
        for i in reversed(range(lenA)):
            distNexts[i] = poss[As[i]] - i
            poss[As[i]] = i
        return distNexts

    distNexts = getDistNexts(As)

    NK = N*K
    maxD = (NK).bit_length() - 1

    dp = [[0]*(N) for _ in range(maxD+1)]
    for i in range(N):
        dp[0][i] = distNexts[i] + 1
    for d in range(1, maxD+1):
        for i in range(N):
            i2 = i + dp[d-1][i]
            dp[d][i] = i2 + dp[d-1][i2%N] - i

    iNow = 0
    dist = 0
    for d in reversed(range(maxD+1)):
        if dist+dp[d][iNow] < NK:
            dist += dp[d][iNow]
            iNow = dist%N

    Ss = []
    setS = set()
    for A in As[iNow:]:
        if A in setS:
            S = ''
            while S != A:
                S = Ss.pop()
                setS.remove(S)
        else:
            Ss.append(A)
            setS.add(A)

    if Ss:
        print(' '.join(map(str, Ss)))


solve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys

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

# 各文字が最初に出現するインデックス
posFirst = {}
for i, A in enumerate(As):
    if A not in posFirst:
        posFirst[A] = i + N

# 次に同じ文字が出現するインデックス
nexts = [-1] * N
posLast = {}
for i in reversed(range(N)):
    A = As[i]
    if A not in posLast:
        nexts[i] = posFirst[A]
    else:
        nexts[i] = posLast[A]
    posLast[A] = i

v0s = [-1] * N
v2s = [-1] * N
for i in range(N):
    if nexts[i] < N-1:
        v2s[i] = nexts[i] + 1
        v0s[nexts[i] + 1] = i
    else:
        v2s[i] = i

v9s = [-1] * N
for i in reversed(range(N)):
    if v9s[i] == -1:
        v9s[i] = v2s[i]
    v9s[v0s[i]] = v9s[i]

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow]
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if vNow == N-1:
        break
    vNow += 1

K %= (numLoop+1)

if K == 0:
    print()
    sys.exit()

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow] + 1
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if numLoop == K-1:
        break

ss = []
for v in range(vNow, N):
    X = As[v]
    if X not in ss:
        ss.append(X)
    else:
        s = ss.pop()
        while s != X:
            s = ss.pop()

print(' '.join(map(str, ss)))


Fixed submission:
def solve():
    N, K = map(int, input().split())
    As = list(map(int, input().split()))

    def getDistNexts(As):
        lenA = len(As)
        poss = dict()
        for i, A in enumerate(As):
            if A not in poss:
                poss[A] = i + lenA

        distNexts = [0]*(lenA)
        for i in reversed(range(lenA)):
            distNexts[i] = poss[As[i]] - i
            poss[As[i]] = i
        return distNexts

    distNexts = getDistNexts(As)

    NK = N*K
    maxD = (NK).bit_length() - 1

    dp = [[0]*(N) for _ in range(maxD+1)]
    for i in range(N):
        dp[0][i] = distNexts[i] + 1
    for d in range(1, maxD+1):
        for i in range(N):
            i2 = i + dp[d-1][i]
            dp[d][i] = i2 + dp[d-1][i2%N] - i

    iNow = 0
    dist = 0
    for d in reversed(range(maxD+1)):
        if dist+dp[d][iNow] < NK:
            dist += dp[d][iNow]
            iNow = dist%N

    Ss = []
    setS = set()
    for A in As[iNow:]:
        if A in setS:
            S = ''
            while S != A:
                S = Ss.pop()
                setS.remove(S)
        else:
            Ss.append(A)
            setS.add(A)

    if Ss:
        print(' '.join(map(str, Ss)))


solve()

Buggy python submission (verdict: Time Limit Exceeded):
import sys

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

# 各文字が最初に出現するインデックス
posFirst = {}
for i, A in enumerate(As):
    if A not in posFirst:
        posFirst[A] = i + N

# 次に同じ文字が出現するインデックス
nexts = [-1] * N
posLast = {}
for i in reversed(range(N)):
    A = As[i]
    if A not in posLast:
        nexts[i] = posFirst[A]
    else:
        nexts[i] = posLast[A]
    posLast[A] = i

v0s = [-1] * N
v2s = [-1] * N
for i in range(N):
    if nexts[i] < N-1:
        v2s[i] = nexts[i] + 1
        v0s[nexts[i] + 1] = i
    else:
        v2s[i] = i

v9s = [-1] * N
for i in reversed(range(N)):
    if v9s[i] == -1:
        v9s[i] = v2s[i]
    v9s[v0s[i]] = v9s[i]

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow]
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if vNow == N-1:
        break
    vNow += 1

K %= (numLoop+1)

if K == 0:
    print()
    sys.exit()

numLoop = 0
vNow = 0
while True:
    vNow = nexts[vNow] + 1
    if vNow >= N:
        numLoop += 1
    vNow %= N
    if numLoop == K-1:
        break

ss = []
for v in range(vNow, N):
    X = As[v]
    if X not in ss:
        ss.append(X)
    else:
        s = ss.pop()
        while s != X:
            s = ss.pop()

print(' '.join(map(str, ss)))


Fixed submission:
def solve():
    N, K = map(int, input().split())
    As = list(map(int, input().split()))

    def getDistNexts(As):
        lenA = len(As)
        poss = dict()
        for i, A in enumerate(As):
            if A not in poss:
                poss[A] = i + lenA

        distNexts = [0]*(lenA)
        for i in reversed(range(lenA)):
            distNexts[i] = poss[As[i]] - i
            poss[As[i]] = i
        return distNexts

    distNexts = getDistNexts(As)

    NK = N*K
    maxD = (NK).bit_length() - 1

    dp = [[0]*(N) for _ in range(maxD+1)]
    for i in range(N):
        dp[0][i] = distNexts[i] + 1
    for d in range(1, maxD+1):
        for i in range(N):
            i2 = i + dp[d-1][i]
            dp[d][i] = i2 + dp[d-1][i2%N] - i

    iNow = 0
    dist = 0
    for d in reversed(range(maxD+1)):
        if dist+dp[d][iNow] < NK:
            dist += dp[d][iNow]
            iNow = dist%N

    Ss = []
    setS = set()
    for A in As[iNow:]:
        if A in setS:
            S = ''
            while S != A:
                S = Ss.pop()
                setS.remove(S)
        else:
            Ss.append(A)
            setS.add(A)

    if Ss:
        print(' '.join(map(str, Ss)))


solve()