<s>[INST] # Problem
You have been hired by the Department of Fish and Wildlife to monitor the deer population in a given area. There are three main deer types: deer with white coats (W), deer with brown coats (B), and deer with spotted coats (S). The white deer are the rarest and most valuable, the brown deer are the most numerous, and the spotted deer are moderately rare and mobile. Assume that white deer reproduce every other year, brown deer reproduce every third year, and spotted deer reproduce every fourth year. You have a baseline population for each type of deer.

Let's create a program that can track and simulate the deer population over a number of years.

### Step 1: Outline the solution strategy
We will create an object-oriented program that can handle the different types of deer and their unique reproduction patterns. We'll define a `Deer` class with attributes for coat type, reproduction frequency, and current population. The `Deer` class will have a method to update the population based on the deer's reproduction pattern. We will then create separate subclasses for each deer type, each with its unique characteristics.

### Step 2: Define the `Deer` class
```python
class Deer:
    def __init__(self, coat_type, reproduction_frequency, initial_population):
        """
        Initialize a Deer object with coat type, reproduction frequency, and initial population.
        
        :param coat_type: str, type of deer (W, B, or S)
        :param reproduction_frequency: int, frequency of reproduction (in years)
        :param initial_population: int, initial population of deer
        """
        self.coat_type = coat_type
        self.reproduction_frequency = reproduction_frequency
        self.population = initial_population

    def update_population(self, year):
        """
        Update the population of deer based on the reproduction frequency.
        
        :param year: int, current year
        """
        if year % self.reproduction_frequency == 0:
            self.population *= 2

class WhiteDeer(Deer):
    def __init__(self, initial_population):
        super().__init__('W', 2, initial_population)

class BrownDeer(Deer):
    def __init__(self, initial_population):
        super().__init__('B', 3, initial_population)

class SpottedDeer(Deer):
    def __init__(self, initial_population):
        super().__init__('S', 4, initial_population)
```

### Step 3: Create a `DeerPopulation` class to manage the deer population
```python
class DeerPopulation:
    def __init__(self, white_deer, brown_deer, spotted_deer):
        """
        Initialize a DeerPopulation object with the initial populations of each deer type.
        
        :param white_deer: int, initial population of white deer
        :param brown_deer: int, initial population of brown deer
        :param spotted_deer: int, initial population of spotted deer
        """
        self.white_deer = WhiteDeer(white_deer)
        self.brown_deer = BrownDeer(brown_deer)
        self.spotted_deer = SpottedDeer(spotted_deer)

    def simulate(self, years):
        """
        Simulate the deer population over a number of years.
        
        :param years: int, number of years to simulate
        """
        for year in range(1, years + 1):
            self.white_deer.update_population(year)
            self.brown_deer.update_population(year)
            self.spotted_deer.update_population(year)
            print(f"Year {year}:")
            print(f"White Deer: {self.white_deer.population}")
            print(f"Brown Deer: {self.brown_deer.population}")
            print(f"Spotted Deer: {self.spotted_deer.population}")
            print()

# Create a DeerPopulation object and simulate the population over 10 years
population = DeerPopulation(10, 50, 20)
population.simulate(10)
```

### Step 4: Run the program and observe the output
The program will print the population of each deer type for each year in the simulation.

Please go ahead and answer the question:

What will be the total population of deer after 5 years, given the initial populations of white deer, brown deer, and spotted deer are 10, 50, and 20 respectively?[/INST]