Three Cards

AtCoder

IDarc146_a

Time2000ms

Memory256MB

Difficulty—

There are $N$ cards, numbered $1$ to $N$. Card $i$ has a positive integer $A_i$ written on it. You can choose three of these cards and concatenate the integers written on them in any order you like to make a new integer. For example, if you choose cards with $1$, $23$, and $4$ written on them, you can make integers such as $1234$ and $4231$. Find the maximum integer you can make. ## Constraints * $3 \le N \le 2 \times 10^5$ * $1 \le A_i < 10^6$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $N$ $A_1$ $A_2$ $\dots$ $A_N$ [samples]

Samples

Input #1

5
1 4 3 5 8

Output #1

854

If you choose cards with $4$, $5$, and $8$ written on them, you can make $458$, $485$, $548$, $584$, $845$, or $854$.
You can make nothing greater than $854$, so the answer is $854$.

Input #2

8
813 921 481 282 120 900 555 409

Output #2

921900813

API Response (JSON)

{
  "problem": {
    "name": "Three Cards",
    "description": {
      "content": "There are $N$ cards, numbered $1$ to $N$. Card $i$ has a positive integer $A_i$ written on it. You can choose three of these cards and concatenate the integers written on them in any order you like to",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "arc146_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are $N$ cards, numbered $1$ to $N$.\nCard $i$ has a positive integer $A_i$ written on it.\nYou can choose three of these cards and concatenate the integers written on them in any order you like to...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments