solved 040

Author: MrDeshaies

euler_040.py

@@ -0,0 +1,30 @@
+# Champernowne 
+# 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 dn represents the nth digit of the fractional part, find the value of the following expression.
+# 
+# d1 × d10 × d100 × d1000 × d10000 × d100000 × d1000000
+
+def champernowne():
+    i = 1
+    while True:
+        digits = str(i)
+        for d in digits:
+            yield int(d)
+        i += 1
+
+keepers = []
+prod = i = 1
+for d in champernowne():
+    if i == 1 or i == 10 or i == 100 or i == 1000 or i == 10000 or i == 100000 or i == 1000000:
+        keepers.append(d)
+        prod *= d
+        if i == 1000000:
+            break
+    i += 1
+print(keepers)
+print(prod)