It is true that the chance of meeting a job you like is less than one in a thousand. Instead of finding a job you like, you should like your current job first. It is impossible for everyone to work in mathematics in the future, but we can start with liking mathematics, do some thinking training, learn mathematics well and use it well.

In some problems in mathematics, quantity changes often occur, but when these quantities change, other quantities related to them will not change because of the increase or decrease of quantity. The "invariants" in the title play an important role in analyzing quantitative relations. If we can grasp it, we can solve the problem quickly.

Everyone will encounter problems in learning mathematics. Right? Smart two generations of love met a:

Two generations of love have the same number of gold and silver coins and a cornucopia. Every time he puts gold coins and silver coins into the cornucopia, the gold coins will double and the silver coins will triple.

The two generations put all the gold and silver coins in the cornucopia first, then took out the gold and silver coins and gave some of them to the eldest son (each at least 1 gold and silver coins), then put the remaining gold and silver coins in the cornucopia, took out some gold and silver coins and gave them to the second son, put the remaining gold and silver coins in the cornucopia and gave them to the third son.

Later, it was found that two generations of love gave the same amount of gold and silver coins to his three sons.

How many gold coins does each son get at least? How many silver coins?