How to calculate the years of cadres and branches?

According to legend, dry branches were used to record the moon very early in ancient times. For example, in Historical Records, it is recorded that "there are twelve ways to match twelve sons and ten mothers in December …", in which "son" means "branch" and "mother" means "stem". This is described in more detail in historical records and almanac.

In the trunk-branch calendar, the calendar and branches of each month are fixed, that is, the first month is cloudy, February is Mao, March is Chen, April is Si, May is noon, June is Wei, July is Shen, August is unitary, September is imaginary, October is Hai, November is Zi, and December is ugly. On the premise that there is a fixed land support every month, plus the sky is dry, it is the method of recording the month. The method of observing the moon with branches takes five years as a week (there are no branches in the lunar leap month), and it goes on and on.

Since the monthly earthly branches have been fixed in the method of observing the moon, how to match the heavenly stems? In fact, there is a fixed law between heaven and earth, that is: year after year, year after year, year after year, year after year.

In 2008, when the sky was a or itself, the sky was c in the first month.

When the sky is B or G in 2008, the sky is E in the first month.

In 2008, when the sky was dry for C or Xin, it was dry for G in the first month.

In 2000, when the weather was dry, it was dry in the first month.

When the heavenly stems in 2008 are E or decyl, the heavenly stems in the first month are A. ..