Largest Exponential ¶

Instead of trying to compare the powers $x^y$ directly, compare their logarithms $y\log{x}$.

In [1]:

with open("txt/0099_base_exp.txt") as f:
    pairs = tuple(tuple(int(x) for x in line.split(",")) for line in f)

In [2]:

logpows = {(x, y): y * log(x) for (x, y) in pairs}
max(enumerate(logpows, start=1), key=lambda x: logpows[x[1]])

Out[2]:

(709, (895447, 504922))

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