Problem p03537 - Generation 1

Orig Description

Score : 1000 points
Problem StatementRingo has a string S.
He can perform the following N kinds of operations any number of times in any order.
Operation i: For each of the characters from the L_i-th through the R_i-th characters in S, replace it with its succeeding letter in the English alphabet. (That is, replace a with b, replace b with c and so on.) For z, we assume that its succeeding letter is a.
Ringo loves palindromes and wants to turn S into a palindrome.
Determine whether this is possible.
Constraints
1 \leq |S| \leq 10^5
S consists of lowercase English letters.
1 \leq N \leq 10^5
1 \leq L_i \leq R_i \leq |S|
InputInput is given from Standard Input in the following format:
S
N
L_1 R_1
L_2 R_2
:
L_N R_N
OutputPrint YES if it is possible to turn S into a palindrome; print NO if it is impossible.
Sample Input 1bixzja
2
2 3
3 6
Sample Output 1YES
For example, if we perform Operation 1, 2 and 1 in this order, S changes as bixzja → bjyzja → bjzakb → bkaakb and becomes a palindrome.
Sample Input 2abc
1
2 2
Sample Output 2NO
Sample Input 3cassert
4
1 2
3 4
1 1
2 2
Sample Output 3YES

Extracted Specification

Canonicalized Input Description:

A string S of lowercase English letters (1 ≤ |S| ≤ 10^5).
An integer N (1 ≤ N ≤ 10^5), representing some quantity or size.
N pairs of integers L and R, where 1 ≤ L ≤ R ≤ |S|.

### Example Input:

```
bixzja
2
2 3
3 6
```

### Function Signature:
Write a function f(S, N, operations) that takes in the input.
```python
def f(S: str, N: int, operations: List[Tuple[int, int]]):
    '''
    S: a string
    N: an integer
    operations: a list of tuples of integers
    '''
```

Test Case Generator

Sure, here is a test case generator for the given problem statement:

```python
import random

def tcgen():
    # Generate the string S
    S_length = random.randint(1, 10**5)
    S = ''.join(random.choices('abcdefghijklmnopqrstuvwxyz', k=S_length))
    
    # Generate the number of operations N
    N = random.randint(1, 10**5)
    
    # Generate the operations
    operations = []
    for _ in range(N):
        L = random.randint(1, S_length)
        R = random.randint(L, S_length)
        operations.append((L, R))
    
    # Construct the input format as specified
    input_data = f"{S}\n{N}\n"
    for L, R in operations:
        input_data += f"{L} {R}\n"
    
    return input_data.strip()

# Example usage
print(tcgen())
```

This script generates a random test case for the problem described. It builds a string \( S \) of random lowercase English letters, a random number of operations \( N \), and a list of \( N \) operations where each operation specifies a range \([L_i, R_i]\) within the string \( S \). The output is formatted as specified in the problem statement. You can run this function to generate random test cases for your competitive programming problem.

Extract Arguments

def extract_arguments(fh):
    S = fh.readline().strip()
    N = int(fh.readline().strip())
    operations = []
    for _ in range(N):
        L, R = map(int, fh.readline().strip().split())
        operations.append((L, R))
    return S, N, operations