GUESSBDAY  Guess the birthday of author or the coauthor
Your task is to guess the author or the coauthor birthday :v. Or else you can look for the roots of the polynomial below. There will be 2 valid positive integers from the polynomial that can be used as the date and month, and the first integer becomes the date of birth and the second integer becomes the month of birth.
Equations: f(x)=999999999999999989x^109  987654251999999989135803228x^108  68148146802999999250370385167x^107  1329382716839999985376790114760x^106 + 764444212358999991591113664051x^105 + 229229628379091997478474087829988x^104 + 1237928896835302986382782134811667x^103  7833027097191839913836701930889760x^102  62617185097307899311210963929613100x^101  87565432099859999036780246901540000x^100
Hint: Try to find the factors first :)
Input
There is no input.
Output
Output the answer in a line in a form of DDMM. There must be no trailing spaces at the end of printed lines, neither empty lines. The example below is an example for the correct output form of a wrong solution.
Example
Output: 0101
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weathervane:
20170324 21:01:52

Added by:  hanstan 
Date:  20160527 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: GOSU 
Resource:  Self 