Coding - Substring Pattern Matches

Problem Statement

You are given two strings, pattern and value. The pattern consists of a sequence of * which can match any sequence of characters (including an empty sequence) and + which can match any single character.

The function match returns true if the pattern matches the value and false otherwise.

Implement the function match based on the given specifications:

Function Signature

python def match(pattern, value):

Constraints

• 0 <= len(pattern) <= 100
• 0 <= len(value) <= 100

Examples

1. Example 1:

   Input: pattern = "abc+*" value = "ab"

   Output: False

   Explanation: The pattern can be interpreted as "a followed by b followed by any single character followed by any sequence of characters". The value "ab" does not match this pattern.

2. Example 2:

   Input: pattern = "*+*+*" value = "a"

   Output: True

   Explanation: The pattern can be interpreted as "any sequence of characters followed by 'a' followed by any single character followed by any sequence of characters". The value "a" matches this pattern.

3.Example 3:

Input: pattern = "*+*+*" value = "aa"

Output: True

Explanation: The pattern can be interpreted as "any sequence of characters followed by 'a' followed by any single character followed by any sequence of characters". The value "aa" matches this pattern.

4. Example 4:

   Input: pattern = "*+*+*" value = "b"

   Output: True

   Explanation: The pattern can be interpreted as "any sequence of characters followed by 'b' followed by any single character followed by any sequence of characters". The value "b" matches this pattern.

Hints

• Consider the pattern as a regular expression and use dynamic programming to solve the problem.
• Use a 2D array to store the intermediate results to avoid recalculating them.