The idea of hyperspace travel often comes down to optimizing routes and minimizing the cost of moving between nodes, almost like solving for the most efficient network path. Many solutions focus on graph traversal techniques where time or distance is the weight to minimize. It’s a bit like planning a group ride or choosing this rentalwhen the path matters as much as the destination. Thinking about shortcuts and wormholes in these problems is similar to finding a smarter way in real journeys—efficiency depends on how well each step is mapped.

I recently came across this problem, and it reminded me of planning a meetup with friends in a big city. Just like choosing the most convenient spot to minimize everyone's travel, the optimal meeting point in this problem is found using the median of the given coordinates. It’s fascinating how math simplifies real-world decisions! Also, while reading about travel experiences on qataralive, I realized how crucial central locations are for seamless gatherings.

Speaking of travelling, I can tell you that I'm planning a trip to Hawaii, and I hope that I won't even think of work. Not so long ago, I discovered a great camera on https://snorkelstore.net/9-underwater-cameras-for-snorkeling-that-are-powerful-and-affordable-and-not-gopros/, so the only thing I'll think about will be the underwater wonders.

The word "lexicographic" in this problem statement is very misleading. The standard definition of lexicographic is that the numbers are compared to each other in an alphabetical sense, as if the numbers were strings ([https://en.wikipedia.org/wiki/Lexicographical_order]). So a lexicographic comparison is the same as a numerical comparison if either number is positive. However if both numbers are negative, the comparison reverses, since the string '-1' is less than the string '-5'.

The answer expected by the grader here is simply the minimum possible numerical value, for each dimension, that optimizes the total distance traveled.

can anyone help me plz how we start this problem