Problem p02457 - Generation 1

Orig Description

Set: Range Search
  For a set $S$ of integers, perform a sequence of the following operations. Note that each value in $S$ must be unique.
insert($x$): Insert $x$ to $S$ and report the number of elements in $S$ after the operation.
find($x$): Report the number of $x$ in $S$ (0 or 1).
delete($x$): Delete $x$ from $S$.
dump($L$, $R$): Print elements $x$ in $S$ such that $L \leq x \leq R$.
Input
  The input is given in the following format.
$q$
$query_1$
$query_2$
:
$query_q$
Each query $query_i$ is given by
0 $x$
or
1 $x$
or
2 $x$
or
3 $L$ $R$
where the first digits 0, 1, 2 and 3 represent insert, find, delete and dump operations respectively.
Output
For each insert operation, print the number of elements in $S$.
For each find operation, print the number of specified elements in $S$.
For each dump operation, print the corresponding elements in ascending order. Print an element in a line.
Constraints
$1 \leq q \leq 200,000$
$0 \leq x \leq 1,000,000,000$
The total number of elements printed by dump operations does not exceed $1,000,000$
Sample Input 1
9
0 1
0 2
0 3
2 2
1 1
1 2
1 3
0 4
3 2 4
Sample Output 1
1
2
3
1
0
1
3
3
4

Extracted Specification

An integer \( q \) (1 ≤ \( q \) ≤ 200,000), representing some quantity or size.
A list of \( q \) queries, where each query is either:
- Two integers (0 ≤ x ≤ 1,000,000,000) representing an operation and a value.
- Three integers (0 ≤ L ≤ 1,000,000,000, 0 ≤ R ≤ 1,000,000,000) representing an operation and a range.

### Example Input:

```
9
0 1
0 2
0 3
2 2
1 1
1 2
1 3
0 4
3 2 4
```

### Function Signature:
Write a function f(queries) that takes in the input.
def f(queries: List[Tuple[int, Union[int, Tuple[int, int]]]]):
    '''
    queries: a list of queries where each query is either a tuple of two integers or a tuple of three integers
    '''

Test Case Generator

Sure, I can help you generate a test case generator for the given problem statement.

### Problem Statement: Set: Range Search

**Test Case Generator:**

```python
import random

def tcgen():
    # Number of queries
    q = random.randint(1, 200000)

    # Initialize the set to keep track of inserted values
    current_set = set()

    queries = []
    
    for _ in range(q):
        operation_type = random.randint(0, 3)
        
        if operation_type == 0:
            # insert operation (0 x)
            x = random.randint(0, 1000000000)
            current_set.add(x)  # we can keep track of the current set for later operations
            queries.append(f"0 {x}")
        elif operation_type == 1:
            # find operation (1 x)
            x = random.randint(0, 1000000000)
            queries.append(f"1 {x}")
        elif operation_type == 2:
            # delete operation (2 x)
            if current_set:
                x = random.choice(list(current_set))
                current_set.remove(x)
            else:
                x = random.randint(0, 1000000000)
            queries.append(f"2 {x}")
        else:
            # dump operation (3 L R)
            if current_set:
                L = random.randint(0, min(current_set))
                R = random.randint(max(current_set), 1000000000)
            else:
                L = random.randint(0, 1000000000)
                R = random.randint(L, 1000000000)
            queries.append(f"3 {L} {R}")

    return q, queries

# Example of generating a test case
q, queries = tcgen()
print(q)
for query in queries:
    print(query)
```

### Explanation:

1. **`q`**: Randomly generate the number of queries between 1 and 200,000.
2. **`queries`**: Generate each query based on the randomly chosen operation type:
    - **Insert (0 x)**: Insert a random value `x` (0 ≤ `x` ≤ 1,000,000,000) to the set and keep track of the inserted values.
    - **Find (1 x)**: Check if a random value `x` (0 ≤ `x` ≤ 1,000,000,000) is in the set.
    - **Delete (2 x)**: Remove a value `x` from the set. If the set is not empty, pick a value from the set, otherwise, pick a random value.
    - **Dump (3 L R)**: Print all elements in the set within the range `[L, R]`. If the set is not empty, choose `L` from the minimum value in the set and `R` from the maximum value in the set, otherwise, choose random values.

This generator ensures that the constraints and conditions of the problem statement are respected while generating diverse and comprehensive test cases.

Extract Arguments

def extract_arguments(fh):
    q = int(fh.readline().strip())
    queries = []
    for _ in range(q):
        query = list(map(int, fh.readline().strip().split()))
        queries.append(query)
    return q, queries