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 length between 1 and 100,000 consisting of lowercase English letters.
An integer N (1 ≤ N ≤ 100,000), representing some quantity or number of operations.
N pairs of integers (L_i, R_i) where 1 ≤ L_i ≤ R_i ≤ |S|, indicating some ranges.
### 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
Certainly! To generate test cases for the given problem, we need to create a string \( S \), an integer \( N \) representing the number of operations, and \( N \) pairs of integers \( (L_i, R_i) \) representing the ranges for each operation. Here is a Python function to generate such test cases:
```python
import random
import string
def generate_test_case():
# Generate a random length for the string S
S_length = random.randint(1, 10**5)
# Generate a random string S of lowercase English letters
S = ''.join(random.choices(string.ascii_lowercase, k=S_length))
# Generate a random number of operations N
N = random.randint(1, 10**5)
operations = []
for _ in range(N):
# Randomly generate L_i and R_i such that 1 <= L_i <= R_i <= |S|
L_i = random.randint(1, S_length)
R_i = random.randint(L_i, S_length)
operations.append((L_i, R_i))
return S, N, operations
def print_test_case():
S, N, operations = generate_test_case()
print(S)
print(N)
for L, R in operations:
print(L, R)
# Example usage
print_test_case()
```
This function will generate and print a random test case each time it is called. Here's a breakdown of what each part does:
1. **`S_length`**: Randomly determines the length of the string \( S \) (between 1 and \( 10^5 \)).
2. **`S`**: Generates a random string of lowercase English letters of length `S_length`.
3. **`N`**: Randomly determines the number of operations (between 1 and \( 10^5 \)).
4. **Operations**: For each operation, generate a pair \( (L_i, R_i) \) such that \( 1 \leq L_i \leq R_i \leq |S| \).
5. **`print_test_case`**: This function prints the generated test case in the required format.
You can run the `print_test_case()` function to see how it generates and prints a new random test case each time. This should be helpful for testing your solution to the problem.
Extract Arguments
def extract_arguments(fh):
S = fh.readline().strip()
N = int(fh.readline().strip())
operations = [tuple(map(int, fh.readline().strip().split())) for _ in range(N)]
return S, N, operations