Match Matching

AtCoder

IDabc118_d

Time2000ms

Memory256MB

Difficulty—

Find the largest integer that can be formed with exactly $N$ matchsticks, under the following conditions: * Every digit in the integer must be one of the digits $A_1, A_2, ..., A_M (1 \leq A_i \leq 9)$. * The number of matchsticks used to form digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ should be $2, 5, 5, 4, 5, 6, 3, 7, 6$, respectively. ## Constraints * All values in input are integers. * $2 \leq N \leq 10^4$ * $1 \leq M \leq 9$ * $1 \leq A_i \leq 9$ * $A_i$ are all different. * There exists an integer that can be formed by exactly $N$ matchsticks under the conditions. ## Input Input is given from Standard Input in the following format: $N$ $M$ $A_1$ $A_2$ $...$ $A_M$ [samples]

Samples

Input #1

20 4
3 7 8 4

Output #1

777773

The integer $777773$ can be formed with $3 + 3 + 3 + 3 + 3 + 5 = 20$ matchsticks, and this is the largest integer that can be formed by $20$ matchsticks under the conditions.

Input #2

101 9
9 8 7 6 5 4 3 2 1

Output #2

71111111111111111111111111111111111111111111111111

The output may not fit into a $64$\-bit integer type.

Input #3

15 3
5 4 6

Output #3

API Response (JSON)

{
  "problem": {
    "name": "Match Matching",
    "description": {
      "content": "Find the largest integer that can be formed with exactly $N$ matchsticks, under the following conditions: *   Every digit in the integer must be one of the digits $A_1, A_2, ..., A_M (1 \\leq A_i \\leq",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc118_d"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Find the largest integer that can be formed with exactly $N$ matchsticks, under the following conditions:\n\n*   Every digit in the integer must be one of the digits $A_1, A_2, ..., A_M (1 \\leq A_i \\leq...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments