Forbidden List

AtCoder

IDabc170_c

Time2000ms

Memory256MB

Difficulty—

Given are an integer $X$ and an integer sequence of length $N$: $p_1, \ldots, p_N$. Among the integers not contained in the sequence $p_1, \ldots, p_N$ (not necessarily positive), find the integer nearest to $X$, that is, find the integer whose absolute difference with $X$ is the minimum. If there are multiple such integers, report the smallest such integer. ## Constraints * $1 \leq X \leq 100$ * $0 \leq N \leq 100$ * $1 \leq p_i \leq 100$ * $p_1, \ldots, p_N$ are all distinct. * All values in input are integers. ## Input Input is given from Standard Input in the following format: $X$ $N$ $p_1$ $...$ $p_N$ [samples]

Samples

Input #1

6 5
4 7 10 6 5

Output #1

8

Among the integers not contained in the sequence $4, 7, 10, 6, 5$, the one nearest to $6$ is $8$.

Input #2

10 5
4 7 10 6 5

Output #2

9

Among the integers not contained in the sequence $4, 7, 10, 6, 5$, the ones nearest to $10$ are $9$ and $11$. We should print the smaller one, $9$.

Input #3

100 0

Output #3

100

When $N = 0$, the second line in the input will be empty. Also, as seen here, $X$ itself can be the answer.

API Response (JSON)

{
  "problem": {
    "name": "Forbidden List",
    "description": {
      "content": "Given are an integer $X$ and an integer sequence of length $N$: $p_1, \\ldots, p_N$. Among the integers not contained in the sequence $p_1, \\ldots, p_N$ (not necessarily positive), find the integer nea",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc170_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Given are an integer $X$ and an integer sequence of length $N$: $p_1, \\ldots, p_N$.\nAmong the integers not contained in the sequence $p_1, \\ldots, p_N$ (not necessarily positive), find the integer nea...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments