Sure! To generate test cases for the given problem, we need to create a function that will randomly generate values for \(N\) (number of acorns), and the trading values for exchanges \(A\) and \(B\) (\(g_A\), \(s_A\), \(b_A\), \(g_B\), \(s_B\), and \(b_B\)) within the given constraints.

Here's the test case generator for the problem:

```python
import random

def tcgen():
    # Generate a random number of acorns N
    N = random.randint(1, 5000)
    
    # Generate random values for g_A, s_A, b_A within the given constraints
    g_A = random.randint(1, 5000)
    s_A = random.randint(1, 5000)
    b_A = random.randint(1, 5000)
    
    # Generate random values for g_B, s_B, b_B within the given constraints
    g_B = random.randint(1, 5000)
    s_B = random.randint(1, 5000)
    b_B = random.randint(1, 5000)
    
    return N, (g_A, s_A, b_A), (g_B, s_B, b_B)

# Example usage
for _ in range(5):
    N, (g_A, s_A, b_A), (g_B, s_B, b_B) = tcgen()
    print(f"Input:\n{N}\n{g_A} {s_A} {b_A}\n{g_B} {s_B} {b_B}\n")
```

This function `tcgen` will generate test cases as specified. Each call to `tcgen` will produce:

1. A random integer \(N\) representing the number of acorns Chokudai starts with.
2. Three random integers \(g_A\), \(s_A\), and \(b_A\) representing the number of acorns needed to gain 1 gram of gold, silver, and bronze respectively at Exchange A.
3. Three random integers \(g_B\), \(s_B\), and \(b_B\) representing the number of acorns needed to gain 1 gram of gold, silver, and bronze respectively at Exchange B.

The constraints ensure that \(N\) is between 1 and 5000, and each of \(g_A\), \(s_A\), \(b_A\), \(g_B\), \(s_B\), and \(b_B\) is between 1 and 5000. The example usage at the end demonstrates how to generate and print 5 test cases.