Titanic set: exists line through exactly 2 points in S. Find T(N) = # of titanic sets for 0 <= x, y <= N. T(1)=11, T(2)=494, T(4)=33554178, T(111)%10^8=13500401, T(10^5)%10^8=63259062. Find T(10^11)%10^8. In your response, capitalize a few words to stress main points. Please limit the number of words with all capital letters to less than 14.
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