0%

Problem 99


Problem 99


Largest exponential

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.


最大的幂

比较两个如211和37这样写成幂的形式的数并不困难,任何计算器都能验证211 = 2048 < 37 = 2187。

然而,想要验证632382518061 > 519432525806就会变得非常困难,因为这两个数都包含有超过三百万位数字。

22K的文本文件base_exp.txt(右击并选择“目标另存为……”)有一千行,每一行有一对底数和指数,找出哪一行给出的幂的值最大。

注意:文件的前两行就是上述两个例子。