Complete the code to identify the common prefix in the grammar productions.
common_prefix = [1] if production1.startswith([1]) and production2.startswith([1]) else ""
The common prefix between the two productions is "a" because both start with "a".
Complete the code to extract the suffix after the common prefix in a production.
suffix = production[len([1]):]
The suffix is extracted by removing the common prefix "ab" from the start of the production.
Fix the error in the code that performs left factoring on two productions.
if production1.startswith(common_prefix) and production2.startswith(common_prefix): new_production = common_prefix + [1]
The new production after left factoring should concatenate the common prefix with a new non-terminal symbol, here "X".
Fill both blanks to complete the left factoring transformation for two productions.
factored_productions = {
[2]: [common_prefix + [1]],
[1]: [suffix1, suffix2]
}The common prefix is followed by a new non-terminal "X". The original start symbol is replaced by "S'" to represent the new grammar start.
Fill all three blanks to complete the dictionary comprehension that performs left factoring on a grammar dictionary.
left_factored = { [1]: [prod[len([2]):] for prod in prods] for [3], prods in grammar.items() if prods[0].startswith(common_prefix) }The new key is the common prefix plus a new non-terminal "X". The suffix is sliced by the length of the common prefix. The loop variable for keys is "non_terminal".