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  3. Project Euler #32: Pandigital products

Project Euler #32: Pandigital products

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This problem is a programming version of Problem 32 from projecteuler.net

We shall say that an -digit number is pandigital if it makes use of all the digits to 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 pandigital.

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

Input Format

Input contains an integer

Constraints

Output Format

Print the answer corresponding to the test case.

Sample Input

4

Sample Output

12

Author

shashank21j

Difficulty

Easy

Max Score

100

Submitted By

3034

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