We have a sequence of N \times K integers: X=(X_0,X_1,\cdots,X_{N \times K-1}). Its elements are represented by another sequence of N integers: A=(A_0,A_1,\cdots,A_{N-1}). For each pair i, j (0 \leq i \leq K-1,\ 0 \leq j \leq N-1), X_{i \times N + j}=A_j holds.

Snuke has an integer sequence s, which is initially empty. For each i=0,1,2,\cdots,N \times K-1, in this order, he will perform the following operation:

* If s does not contain X_i: add X_i to the end of s.
* If s does contain X_i: repeatedly delete the element at the end of s until s no longer contains X_i. Note that, in this case, we do not add X_i to the end of s.



Find the elements of s after Snuke finished the operations.

Constraints

* 1 \leq N \leq 2 \times 10^5
* 1 \leq K \leq 10^{12}
* 1 \leq A_i \leq 2 \times 10^5
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


N K
A_0 A_1 \cdots A_{N-1}


Output

Print the elements of s after Snuke finished the operations, in order from beginning to end, with spaces in between.

Examples

Input

3 2
1 2 3


Output

2 3


Input

5 10
1 2 3 2 3


Output

3


Input

6 1000000000000
1 1 2 2 3 3


Output




Input

11 97
3 1 4 1 5 9 2 6 5 3 5


Output

9 2 6
N, K = map(int, input().split())
A = list(map(int, input().split()))

table = {}
init_table = {}
move = {}

for i in range(N):
    if A[i] not in table:
        table[A[i]] = i
        init_table[A[i]] = i
    else:        
        move[table[A[i]]], move[i] = i+1, init_table[A[i]]+1
        table[A[i]] = i

T = K
idx = 0
remain = [0]
for i in range(1, K+1):
    while idx in move and idx < move[idx]:
        idx = move[idx]
    remain.append(idx)
    if(idx == N and i != K):
        T = K % i
        break
    if idx in move:
        idx = move[idx]
    else:
        idx += 1

if(T == 0):
    print()
    exit()
idx = remain[T]
ret = []
while idx < len(A):
    while idx in move and idx < move[idx]:
        idx = move[idx]
    if(idx < len(A)):
        ret.append(A[idx])
    idx += 1

print(*ret)

