LogiQuest

457. Two City Scheduling

MediumGreedySorting

2k people will be flown to city A or B; person i costs a_i or b_i. Exactly k go to each city. Print the minimum total cost.

Input format

Line 1: n (= 2k) Next n lines: a b

Output format

The minimum cost.

Example 1

Input

4
10 20
30 200
400 50
30 20

Output

110

Example 2

Input

6
259 770
448 54
926 667
184 139
840 118
577 469

Output

1859

Constraints

2 ≤ n ≤ 100

Read input from standard input and print the answer to standard output. Your code is judged against 3 test cases, most of them hidden.

Loading the MyLoginn IDE…