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Calculate Wind Chill Index

Write a Python function `wind_chill(v, t)` that calculates the wind chill index given the wind velocity `v` in km/h and the temperature `t` in Celsius. The wind chill index is calculated using the formula:

\[
WCI = 13.12 + 0.6215 \cdot t - 11.37 \cdot v^{0.16} + 0.3965 \cdot t \cdot v^{0.16}
\]

The result should be rounded to the nearest integer.

#### Example Usage
```python [main.nopy]
print(wind_chill(120, 35))  # Expected output: 40
print(wind_chill(40, 20))   # Expected output: 19
print(wind_chill(10, 8))    # Expected output: 6
```

#### Constraints
- The function should handle positive values for `v` and `t`.
- Use the `math` module for calculations.
import math

def wind_chill(v, t):
    """
    Calculate the wind chill index given wind velocity and temperature.

    Args:
        v (float): Wind velocity in km/h.
        t (float): Temperature in Celsius.

    Returns:
        int: The wind chill index rounded to the nearest integer.
    """
    # Placeholder for the wind chill calculation
    pass
Intermediate mathfunctions
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