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Project Euler 32

  • 問題

Problem 32:Pandigital products
We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital.

The product 7254 is unusual, as the identity, 39 × 186 = 7254, containing multiplicand, multiplier, and product is 1 through 9 pandigital.

Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.

HINT: Some products can be obtained in more than one way so be sure to only include it once in your sum.

  • 解答例
l = []
for i in range(1, 10):
    for j in range(1000, 10000):
        temp = ''.join(sorted(str(i) + str(j) + str(i * j)))
        if temp == "123456789":
            l.append(i * j)

for i in range(10, 100):
    for j in range(100, 1000):
        temp = ''.join(sorted(str(i) + str(j) + str(i * j)))
        if temp == "123456789":
            l.append(i * j)

listUniq = list(set(l))
print(sum(listUniq))