Problem p03252 - Generation 3

Orig Description

Score : 300 points
Problem StatementYou are given strings S and T consisting of lowercase English letters.
You can perform the following operation on S any number of times:
Operation: Choose two distinct lowercase English letters c_1 and c_2, then replace every occurrence of c_1 with c_2, and every occurrence of c_2 with c_1.
Determine if S and T can be made equal by performing the operation zero or more times.
Constraints
1 \leq |S| \leq 2 \times 10^5
|S| = |T|
S and T consists of lowercase English letters.
InputInput is given from Standard Input in the following format:
S
T
OutputIf S and T can be made equal, print Yes; otherwise, print No.
Sample Input 1azzel
apple
Sample Output 1Yes
azzel can be changed to apple, as follows:
Choose e as c_1 and l as c_2. azzel becomes azzle.
Choose z as c_1 and p as c_2. azzle becomes apple.
Sample Input 2chokudai
redcoder
Sample Output 2No
No sequences of operation can change chokudai to redcoder.
Sample Input 3abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu
Sample Output 3Yes

Extracted Specification

An integer \( N \) (1 ≤ \( N \) ≤ 2 \times 10^5), representing the length of two strings.
A string \( S \) of length \( N \) consisting of lowercase English letters.
A string \( T \) of length \( N \) consisting of lowercase English letters.

### Example Input:

```
5
azzel
apple
```

### Function Signature:
Write a function f(N, S, T) that takes in the input.
```python
def f(N: int, S: str, T: str):
    '''
    N: an integer
    S: a string
    T: a string
    '''
```

Test Case Generator

Sure! Let's create a test case generator for the problem statement you provided.

### Test Case Generator for the Problem Statement

The goal is to generate random strings \( S \) and \( T \) of equal length such that they follow the constraints given. The strings should consist of lowercase English letters and have lengths between 1 and 200,000.

Here is the code for the test case generator:

```python
import random
import string

def tcgen():
    # Define the length of the strings
    length = random.randint(1, 2 * 10**5)
    
    # Generate two random strings of the same length
    S = ''.join(random.choices(string.ascii_lowercase, k=length))
    T = ''.join(random.choices(string.ascii_lowercase, k=length))
    
    return S, T

# Example usage:
for _ in range(5):
    S, T = tcgen()
    print(f"S: {S}")
    print(f"T: {T}")
    print()
```

Here is a breakdown of the code:
1. **Import the necessary modules**: `random` for generating random numbers and `string` for accessing lowercase English letters.
2. **Define the length of the strings**: A random integer between 1 and 200,000 is chosen.
3. **Generate two random strings**: Both strings \( S \) and \( T \) are generated using `random.choices` which selects random characters from `string.ascii_lowercase` and forms a string of the specified length.
4. **Return the generated strings**: The function returns the two generated strings \( S \) and \( T \).

This function will generate random test cases for the problem statement you provided. Note that the generated strings are completely random and do not guarantee any specific relationship between \( S \) and \( T \), which is suitable for general testing.

Extract Arguments

def extract_arguments(fh):
    S = fh.readline().strip()
    T = fh.readline().strip()
    return S, T