On the contrary, think from the larger side.
We tend to think from the smaller side, but when the larger side is more constraining, we can sometimes solve the problem by thinking from the larger side.
When considering matching in a set, if you first choose the largest value x, the constraint "less than x" is added to the other vertices
relevance
---
This page is auto-translated from /nishio/逆に大きい方から考える. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I'm very happy to spread my thought to non-Japanese readers.