# 5 Best Ways to Check if a String Follows an b^n Pattern in Python

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π‘ Problem Formulation: In Python, checking if a string adheres to a specific pattern can be a common task. For this article, we will focus on validating whether a given string follows an `a^n b^n` pattern, which means it starts with a number of ‘a’ characters followed by an equal number of ‘b’ characters. Example: input ‘aaabbb’ should be identified as True since it follows the `a^3 b^3` pattern.

## Method 1: Iterative Check

This method involves iterating over the string characters while counting ‘a’s and ‘b’s to ensure they are in the correct `a^n b^n` order and quantity. It is simple and straightforward but not the most efficient for very long strings.

Here’s an example:

```def is_an_bn(string):
a_count = b_count = 0
for char in string:
if char == 'a':
if b_count: return False
a_count += 1
elif char == 'b':
b_count += 1
return a_count == b_count and a_count != 0

# Test the function
print(is_an_bn("aaabbb"))```

Output:

`True`

This code snippet defines a function `is_an_bn()` that counts ‘a’s and ‘b’s while ensuring ‘a’s come before ‘b’s. It returns True only if the counts are equal and non-zero, verifying the string follows the `a^n b^n` pattern.

## Method 2: Using Regular Expressions

Regular Expressions (regex) provide a powerful way to search for patterns in text. We can design a regex pattern to match strings that follow the `a^n b^n` format. This method is efficient for pattern matching but may be overcomplicated for simple scenarios.

Here’s an example:

```import re

def is_an_bn(string):
return bool(re.fullmatch(r'(a*b*)(?<=b+a)', string))

# Test the function
print(is_an_bn("aaabbb"))```

Output:

`True`

This code snippet utilizes the regex `re.fullmatch()` function, matching the entire string against a pattern that checks for zero or more ‘a’s followed by zero or more ‘b’s but uses a positive lookbehind to ensure the number of ‘a’s equals the number of ‘b’s.

## Method 3: Splitting and Comparison

This method checks the string by splitting it into two halves and comparing if both halves consist of the same character and if one is all ‘a’s and the other all ‘b’s. It is quick for strings that are correctly formatted but slower for invalid strings.

Here’s an example:

```def is_an_bn(string):
half = len(string) // 2
return string[:half] == 'a' * half and string[half:] == 'b' * half

# Test the function
print(is_an_bn("aaabbb"))```

Output:

`True`

This code splits the string in half and then checks if the first half consists entirely of ‘a’s and the second half entirely of ‘b’s, confirming that the pattern `a^n b^n` holds true.

## Method 4: Pythonic Approach with all() and enumerate()

The combination of `all()` and `enumerate()` allows for a concise, Pythonic way to check if the string matches the `a^n b^n` pattern. It is clean and efficient but might be slightly harder to read than the iterative approach.

Here’s an example:

```def is_an_bn(string):
n = len(string) // 2
return all(c == 'a' if i < n else c == 'b' for i, c in enumerate(string))

# Test the function
print(is_an_bn("aaabbb"))```

Output:

`True`

This code snippet employs `all()` with a generator expression that iterates over each character and its index, checking if ‘a’s are in the first half and ‘b’s are in the second half of the string.

## Bonus One-Liner Method 5: Lambda and List Comprehension

This method uses a lambda function along with a list comprehension for a compact solution. It succinctly checks the `a^n b^n` pattern in one line but might be less clear for beginners to understand.

Here’s an example:

```is_an_bn = lambda s: s == "a" * (len(s)//2) + "b" * (len(s)//2)

# Test the function
print(is_an_bn("aaabbb"))```

Output:

`True`

The lambda function constructs a string with equal halves of ‘a’s and ‘b’s and compares it to the input string, determining if it follows the `a^n b^n` pattern.

## Summary/Discussion

• Method 1: Iterative Check. Simple to implement. Less efficient for long strings.
• Method 2: Using Regular Expressions. Efficient for pattern matching. Can be complex for simple cases.
• Method 3: Splitting and Comparison. Fastest on correctly formatted strings. Slower on invalid inputs.
• Method 4: Pythonic Approach with `all()` and `enumerate()`. Clean and efficient. Slightly less readable.
• Bonus Method 5: Lambda and List Comprehension. Very concise. Potentially confusing for newcomers to Python.