Problem:
Score : 200 points

Problem Statement

Evi has N integers a_1,a_2,..,a_N. His objective is to have N equal integers by transforming some of them.

He may transform each integer at most once. Transforming an integer x into another integer y costs him (x-y)^2 dollars. Even if a_i=a_j (i≠j), he has to pay the cost separately for transforming each of them (See Sample 2).

Find the minimum total cost to achieve his objective.

Constraints

1≦N≦100

-100≦a_i≦100

Input

The input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

Print the minimum total cost to achieve Evi's objective.

Sample Input 1

2
4 8

Sample Output 1

8

Transforming the both into 6s will cost (4-6)^2+(8-6)^2=8 dollars, which is the minimum.

Sample Input 2

3
1 1 3

Sample Output 2

3

Transforming the all into 2s will cost (1-2)^2+(1-2)^2+(3-2)^2=3 dollars. Note that Evi has to pay (1-2)^2 dollar separately for transforming each of the two 1s.

Sample Input 3

3
4 2 5

Sample Output 3

5

Leaving the 4 as it is and transforming the 2 and the 5 into 4s will achieve the total cost of (2-4)^2+(5-4)^2=5 dollars, which is the minimum.

Sample Input 4

4
-100 -100 -100 -100

Sample Output 4

0

Without transforming anything, Evi's objective is already achieved. Thus, the necessary cost is 0.

Solution in JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

'use strict'
function Main(input) {
  	// 情報の切り分け
    let Nums = input.trim().split('\n').map(x => x.split(' '));
  	// 最初の情報を取り出す
  	let info = Nums.shift();
  
  	// 小さい方で一番大きな値を出す
  	let minNums = Nums.map(num => num[0]);
  	let minNumsTop = Math.max(...minNums);
  
    // 小さい方で一番大きな値を出す
  	let maxNums = Nums.map(num => num[1]);
  	let maxNumsBottom = Math.min(...maxNums);
  	
  	let ans = maxNumsBottom - minNumsTop >= 0 ? 
        		maxNumsBottom - minNumsTop + 1:
    			1;
  	// 大きい方引く小さい方に一足したものが答え
    console.log(ans);
}


Main(require("fs").readFileSync("/dev/stdin", "utf8"));