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A prison can be represented as a list of cells. Each cell contains exactly one prisoner. A '1' represents an unlocked cell, and a '0' represents a locked cell.

Example:
[1, 1, 0, 0, 0, 1, 0]

Starting inside the leftmost cell, determine how many prisoners you can set free, with the following conditions:

- You are the prisoner in the first cell. If the first cell is locked, you cannot free anyone.
- Each time you free a prisoner, the locked cells become unlocked, and the unlocked cells become locked again.

Create a function that, given this unique prison arrangement, returns the number of freed prisoners.

Answer :

Final answer:

Here's an example implementation in Python:

```python

def count_freed_prisoners(cells):

freed_prisoners = 0

for i in range(len(cells)):

if cells[i] == 0:

break

freed_prisoners += 1

cells[i] = 0 if cells[i] == 1 else 1

return freed_prisoners

```

Explanation:

In the given example prison arrangement `[1, 1, 0, 0, 0, 1, 0]`, the function would return `2`. The prisoner in the first cell is freed, and the status of the cells is modified to `[0, 0, 0, 0, 0, 1, 0]`. However, the second prisoner cannot be freed because the cell is locked.

To determine the number of prisoners that can be set free in the given prison arrangement, we can iterate through the list of cells and simulate the process of freeing prisoners.

Here's a step-by-step approach to solving this problem:

1. Initialize a variable `freed_prisoners` to keep track of the number of prisoners freed. Set it to 0.

2. Start iterating through the list of cells from the leftmost cell (index 0).

3. Check if the current cell is locked (0). If it is, the prisoner in the current cell cannot be freed, so we stop the process.

4. If the current cell is unlocked (1), increment the `freed_prisoners` count by 1.

5. Flip the status of the current cell by changing it from 1 to 0 or from 0 to 1. This simulates the act of freeing the prisoner and changing the cell's state.

6. Continue iterating through the remaining cells until the end of the list.

7. Return the final value of `freed_prisoners`, which represents the number of prisoners successfully freed.

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