Solution to problem 40

src/Python/Problem040.py

@@ -0,0 +1,43 @@
+#!/usr/bin/env python3
+"""
+Created on 23 Jun 2021
+
+@author: David Doblas Jiménez
+@email: daviddoji@pm.me
+
+Solution for problem 40 of Project Euler
+https://projecteuler.net/problem=40
+"""
+
+from utils import timeit
+
+
+@timeit("Problem 40")
+def compute():
+    """
+    An irrational decimal fraction is created by concatenating the positive integers:
+
+        0.123456789101112131415161718192021...
+
+    It can be seen that the 12th digit of the fractional part is 1.
+
+    If d_n represents the n^th digit of the fractional part, find the value of the following expression.
+
+        d_1 × d_{10} × d_{100} × d_{1_000} × d_{10_000} × d_{100_000} × d_{1_000_000}
+
+    """
+
+    fraction = ''
+    for i in range(1, 1_000_000):
+        fraction += str(i)
+
+    ans = 1
+    for i in range(7):
+         ans*= int(fraction[10**i - 1])
+    
+    return ans
+
+
+if __name__ == "__main__":
+
+    print(f"Result for Problem 40: {compute()}")