Problem p01602 - Generation 1

Orig Description

()
Problem Statement
Given a string S. Initially, S is an empty string.
You perform the following operation n times in order:
Add x_i occurrences of p_i (which is either "(" or ")") to the end of S.
Determine whether or not S becomes a balanced string after the operations.
A string is balanced if:
The empty string is balanced.
If a and b are balanced strings, then a + b is also balanced.
If a is a balanced string, then "(" + a + ")" is also balanced.
Input
The input is in the following format. All numbers given are integers.
n
p_1 x_1
. . .
p_n x_n
Constraints
1≦n≦1,000
1≦x_i≦10^6
p_i is either "(" or ")".
Output
If S becomes a balanced string, print "YES" on a line. Otherwise, print "NO" on a line.
Sample Input 1
3
( 5
) 4
) 1
Output for the Sample Input 1
YES
The string S="((((()))))" is balanced.
Sample Input 2
5
( 2
) 2
( 3
) 1
) 2
Output for the Sample Input 2
YES
Sample Input 3
2
) 1
( 1
Output for the Sample Input 3
NO

Extracted Specification

An integer n (1 ≤ n ≤ 1,000), representing some quantity or size.
A list of tuples, each containing a character p_i from the set {'(', ')'} and an integer x_i (1 ≤ x_i ≤ 10^6).

### Example Input:

```
3
( 5
) 4
) 1
```

### Function Signature:
Write a function f(inputs) that takes in the input.
def f(inputs: List[Tuple[str, int]]):
    '''
    inputs: a list of tuples, each containing a character and an integer
    '''

Test Case Generator

Sure, I can help you write a test case generator for the given problem statement. The generator will create random inputs that adhere to the constraints and format specified in the problem. Here's the Python code for the test case generator:

```python
import random

def tcgen():
    # Number of operations
    n = random.randint(1, 1000)
    
    operations = []
    for _ in range(n):
        p_i = random.choice(['(', ')'])
        x_i = random.randint(1, 10**6)
        operations.append((p_i, x_i))
    
    return n, operations

def format_test_case(n, operations):
    test_case = f"{n}\n"
    for p_i, x_i in operations:
        test_case += f"{p_i} {x_i}\n"
    return test_case

# Generating a test case
n, operations = tcgen()
test_case = format_test_case(n, operations)
print(test_case)
```

This code defines two functions:

1. `tcgen()`: Generates the number of operations `n` and a list of tuples representing the operations. Each tuple consists of a character `p_i` (either '(' or ')') and an integer `x_i` (number of occurrences).

2. `format_test_case(n, operations)`: Formats the generated test case into the required input format as a multi-line string.

You can run this code to generate and print a random test case for the problem. The output will adhere to the input constraints and format specified in the problem statement.

Let me know if you need any further assistance!

Extract Arguments

def extract_arguments(fh):
    n = int(fh.readline().strip())
    operations = []
    for _ in range(n):
        p, x = fh.readline().strip().split()
        x = int(x)
        operations.append((p, x))
    return n, operations