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
An integer N (1 ≤ N ≤ 10^5), representing some quantity or size.
A string S of length |S| (1 ≤ |S| ≤ 10^5), consisting of lowercase English letters.
A list of N pairs (L_i, R_i), where each pair consists of two integers (1 ≤ L_i ≤ R_i ≤ |S|).
### Example Input:
```
bixzja
2
2 3
3 6
```
### Function Signature:
Write a function f(S, N, intervals) that takes in the input.
```python
def f(S: str, N: int, intervals: List[Tuple[int, int]]):
'''
S: a string
N: an integer
intervals: a list of tuples, where each tuple contains two integers
'''
Test Case Generator
Certainly! Here's a test case generator for the problem statement described:
```python
import random
import string
def generate_string(length):
return ''.join(random.choices(string.ascii_lowercase, k=length))
def tcgen():
# Length of string S
S_len = random.randint(1, 10**5)
S = generate_string(S_len)
# Number of operations N
N = random.randint(1, 10**5)
operations = []
for _ in range(N):
L = random.randint(1, S_len)
R = random.randint(L, S_len)
operations.append((L, R))
return S, N, operations
# Function to print the generated test case in the required format
def print_test_case(S, N, operations):
print(S)
print(N)
for L, R in operations:
print(L, R)
# Example usage
S, N, operations = tcgen()
print_test_case(S, N, operations)
```
### Explanation:
1. **generate_string(length)**: This function generates a random string of lowercase English letters of a given length.
2. **tcgen()**:
- Generates a random length for the string \( S \) between 1 and \( 10^5 \).
- Generates the random string \( S \) using the `generate_string` function.
- Generates a random number \( N \) for the number of operations between 1 and \( 10^5 \).
- For each operation, generates two random integers \( L \) and \( R \) such that \( 1 \leq L \leq R \leq |S| \).
3. **print_test_case(S, N, operations)**:
- Prints the string \( S \), the number \( N \), and the list of operations in the required format.
This generator will create random test cases that adhere to the constraints of the problem. You can run this code to generate a test case and print it in the format specified in the problem statement.
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