Amazon Online Assessment 2021 (OA) - Split String Into Unique Primes

Given a string made up of integers 0 to 9, count the number of ways to split the string into prime numbers in the range of 2 to 1000 inclusive, using up all the characters in the string.

Each prime number, pn, must not contain leading 0s, and 2 <= pn <= 1000.

Constraints

The input string does not contain any leading 0s.

Examples

Example 1:

Input: "31173"
Output: 6
Explanation:

The string "31173" can be split into prime numbers in 6 ways:

  • [3, 11, 7, 3]
  • [3, 11, 73]
  • [31, 17, 3]
  • [31, 173]
  • [311, 7, 3]
  • [311, 73]

Try it yourself

Solution

Title

Script

Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem Ipsum has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book.

Contrary to popular belief, Lorem Ipsum is not simply random text.

  >>> a = [1, 2, 3]
  >>> a[-1]
  3

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