Smallest Range K Lists HARD Arrays Sorting Searching 50 XP 0 solved
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Problem

Given K sorted lists of N integers each, find the smallest range [L, R] such that each of the K lists contains at least one number in this range.

Input format

Input input.txt

- The first line contains K and N (1 ≤ K,N ≤ 5). - Each of the next K lines contains N integers in increasing order.

Output format

Output output.txt

- Two integers L and R, the smallest range.

Example

input
3 4
4 10 15 24
0 9 12 20
5 18 22 30
output
20 24

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