Friday, September 18, 2009

Euler Project 99


Comparing two numbers written in index form like 211 and 37 is not difficult, as any calculator would confirm that 211 = 2048 < 37 = 2187.



However, confirming that 632382518061 > 519432525806 would be much more difficult, as both numbers contain over three million digits.



Using base_exp.txt (right click and 'Save Link/Target As...'), a 22K text file containing one thousand lines with a base/exponent pair on each line, determine which line number has the greatest numerical value.



NOTE: The first two lines in the file represent the numbers in the example given above.








My Solution Using Mathematic



MaxIndex = 0;MaxNum=0;





For[i = 1, i < 2000, i = i + 2, 


 TempValue = N[Log[10, ToExpression[fs[[i]]]], 20]*ToExpression[fs[[i + 1]]]; 


                 If[TempValue > MaxNum, MaxNum = TempValue; MaxIndex = i]]




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