Solution to problem 63 in Python
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src/Python/Problem063.py
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src/Python/Problem063.py
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#!/usr/bin/env python3
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"""
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Created on 05 Aug 2022
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@author: David Doblas Jiménez
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@email: daviddoji@pm.me
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Solution for problem 63 of Project Euler
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https://projecteuler.net/problem=63
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"""
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from utils import timeit
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@timeit("Problem 63")
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def compute():
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"""
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The 5-digit number, 16807=7^5, is also a fifth power. Similarly, the
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9-digit number, 134217728=8^9, is a ninth power.
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How many n-digit positive integers exist which are also an nth power?
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"""
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ans = 0
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# no need to go higher than 10, because 10**2 = 100
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for number in range(1, 10):
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for pow in range(1, 30):
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if len(str(number**pow)) == pow:
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ans += 1
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return ans
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if __name__ == "__main__":
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print(f"Result for Problem 63: {compute()}")
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