Comparing two numbers written in index form like 2^11 and 3^7 is not difficult, as any calculator would confirm that 2^11 = 2048 < 3^7 = 2187.

However, confirming that a six-digit number raised to the power of another six-digit number would be considerably more difficult.

Using the text file provided below, 22K in size, containing one thousand lines with a base/exponent pair on each line, determine which line number has the greatest numerical value.

(This problem and its text come from Project Euler).