Let the year when the ancient city was buried be d.
The year of its heyday is Q.
The year when the excavation began was n years.
It can be seen from the description that N- 1669=D, N+2 12-Q=2039, and q =-d.
After several steps of equivalent substitution, we can get: n+212+n-1669 = 2039.
In this way, n can be calculated, that is, the excavation began in A.D. 1748, reached its peak in 79 BC and ended in A.D. 1960.
PS: Actually, there is no need to calculate. Go to Baidu Encyclopedia and look up "Pompeii Ancient City". The year and everything are clearly written.