Problem p03974 - Generation 1

Orig Description

Score : 1100 points
Problem StatementThere are N strings of lowercase alphabet only. The i-th string is S_i. Every string is unique.
Provide answers for the Q queries below. The i-th query has the following format:
Query: An integer k_i and a string p_{i,1}p_{i,2}...p_{i,26} that results from permuting {a,b,...,z} are given. Output the sequence of the string S_{k_i} among the N strings in lexicographical order when the literal sequence is p_{i,1}
                

Extracted Specification

An integer N (1 ≤ N ≤ 100000), representing some quantity or size.
A list of N unique strings, each consisting of lowercase alphabet characters.
An integer Q (1 ≤ Q ≤ 100000), representing the number of queries.
Q queries, where each query consists of:
- An integer k (1 ≤ k ≤ N)
- A permutation of the lowercase alphabet (a string of length 26)

### Example Input:

```
5
aa
abbaa
abbba
aaab
aaaaaba
5
1 abcdefghijklmnopqrstuvwxyz
2 bacdefghijklmnopqrstuvwxyz
3 abcdefghijklmnopqrstuvwxyz
4 bacdefghijklmnopqrstuvwxyz
5 abcdefghijklmnopqrstuvwxyz
```

### Function Signature:
Write a function f(N, strings, Q, queries) that takes in the input.
def f(N: int, strings: List[str], Q: int, queries: List[Tuple[int, str]]):
    '''
    N: an integer
    strings: a list of strings
    Q: an integer
    queries: a list of tuples where each tuple consists of an integer and a string
    '''

Test Case Generator

Certainly! Here is a test case generator for the provided problem statement:

```python
import random
import string

def generate_random_string(max_length):
    length = random.randint(1, max_length)
    return ''.join(random.choice(string.ascii_lowercase) for _ in range(length))

def generate_permutation():
    return ''.join(random.sample(string.ascii_lowercase, 26))

def tcgen():
    max_total_length = 400000
    N = random.randint(1, 100000)
    strings = []
    total_length = 0
    
    for _ in range(N):
        if total_length >= max_total_length:
            break
        s = generate_random_string(min(max_total_length - total_length, 100))
        strings.append(s)
        total_length += len(s)
    
    N = len(strings)  # In case we had to stop early due to total_length constraint
    
    Q = random.randint(1, 100000)
    queries = []
    
    for _ in range(Q):
        k = random.randint(1, N)
        permutation = generate_permutation()
        queries.append((k, permutation))
    
    return N, strings, Q, queries

# Example usage:
N, strings, Q, queries = tcgen()
print(N)
for s in strings:
    print(s)
print(Q)
for k, p in queries:
    print(k, p)
```

This Python script generates random test cases for the problem described. The `generate_random_string` function creates a random string with a length between 1 and `max_length`. The `generate_permutation` function generates a random permutation of the 26 lowercase English letters.

The `tcgen` function generates the number of strings `N` and the list of unique strings, ensuring that the total length of all strings does not exceed 400,000 characters. It then generates `Q` queries, each consisting of a random integer `k` and a random permutation of the alphabet.

The `Example usage` section demonstrates how to use the `tcgen` function and print the generated test case.

Extract Arguments

def extract_arguments(fh):
    N = int(fh.readline().strip())
    S = [fh.readline().strip() for _ in range(N)]
    Q = int(fh.readline().strip())
    queries = []
    for _ in range(Q):
        line = fh.readline().strip().split()
        k_i = int(line[0])
        p_i = line[1]
        queries.append((k_i, p_i))
    return N, S, Q, queries