LogiQuest

436. Array Partition (Max Sum of Pair Minimums)

EasySortingGreedy

Group the 2k numbers into k pairs to maximise the sum of the smaller number in each pair. Print that sum.

Input format

Line 1: n (even) Line 2: n integers

Output format

The maximum sum.

Example 1

Input

4
1 4 3 2

Output

4

Example 2

Input

6
6 2 6 5 1 2

Output

9

Constraints

2 ≤ n ≤ 10⁴

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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