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def find_minimum(arr):
    # Find the smallest element
    min_value = arr[0]
    for value in arr:
        if value < min_value:
            min_value = value
    return min_value

array = [18, 6, 66, 44, 9, 22, 14]

print("Minimum value:", find_minimum(array))

# Problem Solving in an Algorithm

When you are training your logical thinking by solving algorithm problems, it is crucial to fully understand the problem and approach it by breaking it down into smaller stages.

## Tips on Problem Solving

1. **Understand the Problem Thoroughly**: Do not start coding until you have completely understood the problem. If necessary, look at the problem multiple times and use the provided examples to accurately comprehend the requirements.

2. **Use the Divide and Resolve Technique**: Break bigger problems into smaller parts, solve them individually, and combine the results. This structured approach simplifies complex tasks and makes the process more efficient.

3. **Experience Solving Different Types of Problems**: Algorithm problems often follow recurring patterns. By troubleshooting various problems, you can improve your ability to quickly recognize and resolve similar ones.

4. **Analyze Other Solutions**: After solving a problem, compare your solution with others' solutions found on the internet.

<br />

Let's take a simple algorithm as an example to find the smallest element in a given array.

The code sets the first element of the array as the minimum value and iterates through all elements of the array to find the minimum value using conditional statements.

```python title="Finding the Minimum Element in an Array"
def find_minimum(arr):
    min_value = arr[0] # Set the first element of the array as the minimum value
    for value in arr: # Traverse all elements of the array
        if value < min_value: # If an element smaller than the minimum value is found
            min_value = value # Update the minimum value to this element
    return min_value # Return the minimum value
```

<br />

Initially, applying logical thinking to solving problems in code may not be easy. However, as you work through more problems, you will naturally gain proficiency in handling algorithmic challenges.

In the following lessons, we will deal with simple algorithm problems to train your logical thinking. Solutions and Python example code will be provided for each problem, but try fixing it on your own before checking the solutions.