Rally

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

Output

Print the minimum total stamina the N people have to spend.

Examples

Input

2 1 4

Output

5

Input

7 14 14 2 13 56 2 37

Output

2354

inputFormat

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

outputFormat

Output

Print the minimum total stamina the N people have to spend.

Examples

Input

2 1 4

Output

5

Input

7 14 14 2 13 56 2 37

Output

2354

样例

7
14 14 2 13 56 2 37

2354