Solution:
Magic numbers are :
4,23 = 92 and 23
first off lets note that such a coupe j,i is a representation of two numbers ij and i
Now , the first sentence in the intersection of two lists , the list of addition and division guy conditions , it is the following
5,12 11,6
3,24 23,4
2,47 4,24
2,45 4,23 8,12 11,9
2,33 4,17 8,9 16,5 32,3
2,29 4,15 7,9 8,8 14,5 28,3
you can verify the evidence of this list by this little xls tool
Xls file
this scripted excel sheet extracts the list of numbers which fits that the diference guy knows that summer knows that he doesnt know for sure , the second sheet shows how subtractor is sure about divisor knows that subtractor dosent know with a perfect explanation.
the final list is an intersection of those two lists.
now divisor knows the numbers which means j>33.
now both guys knows also which means the list will be truncated to :
2,47 4,24
2,45 4,23 8,12 11,9
the list concerning summer and intersecting the upper lists is
2,47 3,31 4,23 6,15 8,11 12,7 16,5 24,3 32,2
2,45 4,22 23,3
know divisor made a mistake which means such a couple 2,x is excluded , the only couple which appears twice in last two lists apart 2,x is 4,23
to be honest i cant go with explanation further than this.
thanks for your downvotes.
