Decrease (Judge ver.)

AtCoder

IDarc079_c

Time2000ms

Memory256MB

Difficulty—

We have a sequence of length $N$ consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes $N-1$ or smaller. (The operation is the same as the one in Problem D.) * Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by $N$, and increase each of the other elements by $1$. It can be proved that the largest element in the sequence becomes $N-1$ or smaller after a finite number of operations. You are given the sequence $a_i$. Find the number of times we will perform the above operation. ## Constraints * $2 ≤ N ≤ 50$ * $0 ≤ a_i ≤ 10^{16} + 1000$ ## Input Input is given from Standard Input in the following format: $N$ $a_1$ $a_2$ ... $a_N$ [samples]

Samples

Input #1

4
3 3 3 3

Output #1

Input #2

3
1 0 3

Output #2

Input #3

2
2 2

Output #3

Input #4

7
27 0 0 0 0 0 0

Output #4

Input #5

10
1000 193 256 777 0 1 1192 1234567891011 48 425

Output #5

1234567894848

API Response (JSON)

{
  "problem": {
    "name": "Decrease (Judge ver.)",
    "description": {
      "content": "We have a sequence of length $N$ consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes $N-1$ or smaller. ",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "arc079_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "We have a sequence of length $N$ consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes $N-1$ or smaller. ...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments