Score : $700$ points

Problem Statement

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.

3 2
1 2 3

2 3

In this case, $X=(1,2,3,1,2,3)$. We will perform the operations as follows:

• $i=0$: $s$ does not contain $1$, so we add $1$ to the end of $s$, resulting in $s=(1)$.
• $i=1$: $s$ does not contain $2$, so we add $2$ to the end of $s$, resulting in $s=(1,2)$.
• $i=2$: $s$ does not contain $3$, so we add $3$ to the end of $s$, resulting in $s=(1,2,3)$.
• $i=3$: $s$ does contain $1$, so we repeatedly delete the element at the end of $s$ as long as $s$ contains $1$, which causes the following changes to $s$: $(1,2,3) \to (1,2) \to (1) \to ()$.
• $i=4$: $s$ does not contain $2$, so we add $2$ to the end of $s$, resulting in $s=(2)$.
• $i=5$: $s$ does not contain $3$, so we add $3$ to the end of $s$, resulting in $s=(2,3)$.

5 10
1 2 3 2 3

3

6 1000000000000
1 1 2 2 3 3

$s$ may be empty in the end.

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

9 2 6