201145: [AtCoder]ARC114 F - Permutation Division

Problem Statement

You are given a permutation $P$ of $1, 2, \cdots, N$.

You can divide $P$ into exactly $K$ non-empty contiguous subsequences as you like.

Maroon will rearrange those subsequences you make and concatenate them to make a new permutation $Q$. Here, he will lexicographically maximize $Q$.

You want to divide $P$ in a way that lexicographically minimizes $Q$. Find $Q$ in that case.

Constraints

• $1 \leq N \leq 2 \times 10^5$
• $1 \leq K \leq N$
• $1 \leq P_i \leq N$
• $P_i \neq P_j (i \neq j)$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$ $K$
$P_1$ $P_2$ $\cdots$ $P_N$

Output

Print $Q$ when you optimally divide $P$.

Sample Input 1

3 2
1 2 3

Sample Output 1

2 3 1

You have two ways to divide $P$: $(1, 2),(3)$ and $(1), (2, 3)$.

In the former case, Maroon will rearrange them in the order $(3), (1, 2)$ to get $Q = (3, 1, 2)$.

In the latter case, Maroon will rearrange them in the order $(2, 3), (1)$ to get $Q = (2, 3, 1)$.

Thus, you should choose the latter.

Sample Input 2

4 3
4 3 1 2

Sample Output 2

4 3 1 2

Sample Input 3

20 7
10 5 8 2 1 9 12 20 15 3 7 6 19 4 11 17 13 14 16 18

Sample Output 3

10 5 8 2 7 6 19 4 11 17 13 14 16 18 3 1 9 12 20 15