AtCoder Beginner Contest 088
B
Card Game for Two
AtCoder
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原题
← AC →
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Problem Statement

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We have $N$ cards. A number $a_i$ is written on the $i$-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.

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Constraints

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  • $N$ is an integer between $1$ and $100$ (inclusive).
  • $a_i \ (1 \leq i \leq N)$ is an integer between $1$ and $100$ (inclusive).
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Input

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Input is given from Standard Input in the following format:

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N
a_1 a_2 a_3 ... a_N

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Output

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

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样例

Input #1
2
3 1
Output #1
2
First, Alice will take the card with $3$. Then, Bob will take the card with $1$. The difference of their scores will be $3$ - $1$ = $2$.
Input #2
3
2 7 4
Output #2
5
First, Alice will take the card with $7$. Then, Bob will take the card with $4$. Lastly, Alice will take the card with $2$. The difference of their scores will be $7$ - $4$ + $2$ = $5$. The difference of their scores will be $3$ - $1$ = $2$.
Input #3
4
20 18 2 18
Output #3
18
题目信息
题号
abc088_b
时间限制
2 s
内存限制
256 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。