Rally

AtCoder

IDabc156_c

Time2000ms

Memory256MB

Difficulty—

There are $N$ people living on a number line. The $i$\-th person lives at coordinate $X_i$. You are going to hold a meeting that all $N$ people have to attend. The meeting can be held at any **integer coordinate**. If you choose to hold the meeting at coordinate $P$, the $i$\-th person will spend $(X_i - P)^2$ points of stamina to attend the meeting. Find the minimum total points of stamina the $N$ people have to spend. ## Constraints * All values in input are integers. * $1 \leq N \leq 100$ * $1 \leq X_i \leq 100$ ## Input Input is given from Standard Input in the following format: $N$ $X_1$ $X_2$ $...$ $X_N$ [samples]

Samples

Input #1

2
1 4

Output #1

5

Assume the meeting is held at coordinate $2$. In this case, the first person will spend $(1 - 2)^2$ points of stamina, and the second person will spend $(4 - 2)^2 = 4$ points of stamina, for a total of $5$ points of stamina. This is the minimum total stamina that the $2$ people have to spend.
Note that you can hold the meeting only at an integer coordinate.

Input #2

7
14 14 2 13 56 2 37

Output #2

API Response (JSON)

{
  "problem": {
    "name": "Rally",
    "description": {
      "content": "There are $N$ people living on a number line. The $i$\\-th person lives at coordinate $X_i$. You are going to hold a meeting that all $N$ people have to attend. The meeting can be held at any **integer",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc156_c"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "There are $N$ people living on a number line.\nThe $i$\\-th person lives at coordinate $X_i$.\nYou are going to hold a meeting that all $N$ people have to attend.\nThe meeting can be held at any **integer...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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