Epoch time starts from 1970. Given a date in YYYY-MM-DD, list all dates that evaluates to 1970. For example, 2005-11-24 = 1970.
In python:
[(yyyy,mm,dd)
for dd in range(1,31)
for mm in range(1,12)
for yyyy in range(1970+1+1,1970+12+31)
if time.localtime(time.mktime((yyyy,mm,dd,0,0,0,0,0,0)))[:3] == (yyyy,mm,dd)
and yyyy-mm-dd == 1970]
So, 1970+12+31 = 2013
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