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String Normalization Combinatorics

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Your question is String Normalization Combinatorics. Start with the requirements on the right.

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Problem

Grammarly Editor may represent uncertain text with alternatives such as {grammarly|Grammarly}. Given a pattern, generate every possible combination and return the unique results after text normalization.

A pattern contains ordinary text and zero or more non-nested alternative groups. Each group has the form {option1|option2|...}. Alternatives may contain letters, digits, punctuation, and whitespace, but not {, }, or |.

Normalize each generated string by converting it to lowercase, replacing every consecutive whitespace sequence with one space, and removing leading or trailing spaces. Return the normalized strings in lexicographic order, without duplicates.

Formal Specification

Implement generate_normalized_variants(pattern). The input is a string, and the output is a list of strings. Every output string must result from selecting exactly one option from each alternative group, then applying the normalization rules.

Constraints

  • 1 <= len(pattern) <= 1000
  • The pattern contains at most 12 alternative groups
  • Every group contains at least two non-empty options
  • The total number of combinations is at most 5000
  • Groups are non-nested and braces are balanced

Function Signature

def generate_normalized_variants(pattern):
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