An advertising agency wants to send a letter to all of its clients announcing a new fee schedule. The clients' names are in several different lists (arrays). The company merges the various lists to form one array, but clients could be listed in the array more than once.

Design a program that creates a new array that contains the same client information as the original, but with duplicates removed. Clinets rae identified by a four digit client code and client name.

Write an algorithm to solve the problem.

To solve this problem, you can follow the steps outlined below:

1. Create an empty array to store the unique client information.
2. Merge all the separate lists into one single array.
3. Iterate through each element in the merged array.
4. For each element, extract the client code and client name.
5. Check if the client code and client name combination already exists in the unique client array.
6. If the combination does not exist, add it to the unique client array.
7. Continue iterating until all elements in the merged array have been processed.
8. Return the unique client array.

Here's a detailed algorithm based on the steps:

Algorithm:

1. Define a function `removeDuplicates` that takes in multiple arrays as parameters.
2. Create an empty array `uniqueClients` to store the unique client information.
3. Merge all the separate arrays into one single array using a concatenation method or by iterating through each array and adding the elements to `mergedArray`.
4. Iterate through each element `client` in `mergedArray`.
- Extract the client code and client name from `client`.
- Define a variable `isDuplicate` and set it to false.
- Iterate through each element `uniqueClient` in `uniqueClients`.
- Check if the client code and client name combination already exists in `uniqueClient`.
- If yes, set `isDuplicate` to true and break out of the loop.
- If `isDuplicate` is false, add the client to `uniqueClients`.
5. Return `uniqueClients` as the final result.

Here's a Python implementation of the algorithm:

```python
def removeDuplicates(*arrays):
uniqueClients = []
mergedArray = []

for array in arrays:
mergedArray += array

for client in mergedArray:
clientCode, clientName = client[:4], client[4:]
isDuplicate = False

for uniqueClient in uniqueClients:
if uniqueClient[:4] == clientCode and uniqueClient[4:] == clientName:
isDuplicate = True
break

if not isDuplicate:
uniqueClients.append(client)

return uniqueClients
```

You can call the `removeDuplicates` function with your arrays as arguments, and it will return an array with the unique client information, removing any duplicates.