#abc088b. [abc088_b]Card Game for Two

[abc088_b]Card Game for Two

Problem Statement

We have NN cards. A number aia_i is written on the ii-th card.
Alice and Bob will play a game using these cards. In this game, Alice and Bob alternately take one card. Alice goes first.
The game ends when all the cards are taken by the two players, and the score of each player is the sum of the numbers written on the cards he/she has taken. When both players take the optimal strategy to maximize their scores, find Alice's score minus Bob's score.

Constraints

  • NN is an integer between 11 and 100100 (inclusive).
  • ai(1leqileqN)a_i \\ (1 \\leq i \\leq N) is an integer between 11 and 100100 (inclusive).

Input

Input is given from Standard Input in the following format:

NN a1a_1 a2a_2 a3a_3 ...... aNa_N

Output

Print Alice's score minus Bob's score when both players take the optimal strategy to maximize their scores.


Sample Input 1

2
3 1

Sample Output 1

2

First, Alice will take the card with 33. Then, Bob will take the card with 11. The difference of their scores will be 33 - 11 = 22.


Sample Input 2

3
2 7 4

Sample Output 2

5

First, Alice will take the card with 77. Then, Bob will take the card with 44. Lastly, Alice will take the card with 22. The difference of their scores will be 77 - 44 + 22 = 55. The difference of their scores will be 33 - 11 = 22.


Sample Input 3

4
20 18 2 18

Sample Output 3

18