Permutation Division

AtCoder

IDarc114_f

Time2000ms

Memory256MB

Difficulty—

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: $N$ $K$ $P_1$ $P_2$ $\cdots$ $P_N$ [samples]

Samples

Input #1

3 2
1 2 3

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.

Input #2

4 3
4 3 1 2

Output #2

4 3 1 2

Input #3

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

Output #3

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

API Response (JSON)

{
  "problem": {
    "name": "Permutation Division",
    "description": {
      "content": "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 concatena",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "arc114_f"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "You are given a permutation $P$ of $1, 2, \\cdots, N$.\nYou can divide $P$ into exactly $K$ non-empty contiguous subsequences as you like.\nMaroon will rearrange those subsequences you make and concatena...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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