Problems > All the Gaps

All the Gaps

Difficulty: 1500 3500 ms 128 MB

math sorting

Print ∑ |ai − aj| over all pairs i < j.

Input: the first line has N; the second line has N integers.

Output: the sum of absolute differences over all pairs.

Constraints:

  • 2 ≤ N ≤ 105
  • |ai| ≤ 104

Sample Tests

Input 1
3
1 4 6
Output 1
10
Input 2
2
5 5
Output 2
0

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