diff --git a/38/main.py b/38/main.py new file mode 100644 index 0000000..f641bb9 --- /dev/null +++ b/38/main.py @@ -0,0 +1,57 @@ +''' +Take the number 192 and multiply it by each of 1, 2, and 3: + +192 × 1 = 192 +192 × 2 = 384 +192 × 3 = 576 +By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3) + +The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5). + +What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n > 1? +''' + +def conLength(n): + i = 1 + p = len(str(n)) + while p < 9: + i += 1 + p += len(str(i * n)) + + if p == 9: + return True + + return False + +def isPandigital(n): + digits = {1, 2, 3, 4, 5, 6, 7, 8, 9} + if set(map(int, str(n))) == digits: + return True + return False + +def concatProduct(n): + i = 1 + d = n + + while len(str(d)) < 9: + i += 1 + d = int(str(d) + str(n * i)) + + return d + +def main(): + print("Hello this is Patrick") + + m = 0 + + for i in range(1, 54321): + if conLength(i): + d = concatProduct(i) + + if isPandigital(d) and d > m: + m = d + + print(m) + +if __name__ == "__main__": + main() \ No newline at end of file