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033/main.py

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+'''
+The fraction 49/98 is a curious fraction, as an inexperienced mathematician in attempting to simplify it may incorrectly believe that 49/98 = 4/8, which is correct, is obtained by cancelling the 9s.
+
+We shall consider fractions like, 30/50 = 3/5, to be trivial examples.
+
+There are exactly four non-trivial examples of this type of fraction, less than one in value, and containing two digits in the numerator and denominator.
+
+If the product of these four fractions is given in its lowest common terms, find the value of the denominator.
+'''
+
+def listify(i):
+    return [int(x) for x in str(i)]
+
+def check(num, denom):
+    result = False
+
+    frac = num / denom
+
+    lnum = listify(num)
+    ldenom = listify(denom)
+
+    if lnum[0] == ldenom[0] and ldenom[1] != 0:
+        result = lnum[1] / ldenom[1] == frac
+    elif lnum[1] == ldenom[0] and ldenom[1] != 0:
+        result = lnum[0] / ldenom[1] == frac
+    elif lnum[0] == ldenom[1]:
+        result = lnum[1] / ldenom[0] == frac
+    elif lnum[1] == ldenom[1]:
+        result = lnum[0] / ldenom[0] == frac
+
+    return result
+
+def main():
+    print("Hello, this is Patrick")
+
+    numres = 1
+    denomres = 1
+
+    for denom in range(11, 100):
+        for num in range(10, denom):
+            if not (denom % 10 == 0 and num % 10 == 0) and check(num, denom):
+                numres *= num
+                denomres *= denom
+
+                print(num, denom)
+
+    print(f"{numres}/{denomres}")
+
+
+
+
+if __name__ == "__main__":
+    main()