Best sum of pair minimums

Split 2N numbers into N pairs so that the sum of the smaller number in each pair is as large as possible. Print that sum.

Reported in: Capgemini (2026 batch) (memory-based)

Input

First line: 2N (an even number). Second line: the 2N integers.

Output

The largest possible sum of pair minimums.

Constraints

2 ≤ 2N ≤ 10^5.

Example 1

Input:
4
1 4 3 2

Output:
4

Example 2

Input:
6
6 2 6 5 1 2

Output:
9

Hint: Sort, then pair neighbours: add every second element starting from the first.

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