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Largest Series Product

# Largest Series Product

Medium

## Instructions

Given a string of digits, calculate the largest product for a contiguous substring of digits of length n.

For example, for the input `'1027839564'`, the largest product for a series of 3 digits is 270 `(9 * 5 * 6)`, and the largest product for a series of 5 digits is 7560 `(7 * 8 * 3 * 9 * 5)`.

Note that these series are only required to occupy adjacent positions in the input; the digits need not be numerically consecutive.

For the input `'73167176531330624919225119674426574742355349194934'`, the largest product for a series of 6 digits is 23520.

For a series of zero digits, the largest product is 1 because 1 is the multiplicative identity. (You don't need to know what a multiplicative identity is to solve this problem; it just means that multiplying a number by 1 gives you the same number.)

### Source

A variation on Problem 8 at Project Euler
Last updated 22 November 2022
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