### Canonicalized Input Description:

An integer N (1 ≤ N ≤ 6), representing some quantity or size.
An integer M (2 ≤ M ≤ 10^9), representing a limit or threshold.
An integer L (1 ≤ L ≤ 10^9), representing a number of periods or iterations.
A sequence of 2N-1 lines, where each line consists of non-negative integers smaller than M, representing some initial values. The first line has N integers, the second line has N+1 integers, and so on until the middle line, then the lines start decreasing in length symmetrically until the last line which has N integers.

### Example Input:

```
3 3 1
1 0 0
0 0 0 0
0 0 0 0 0
0 0 0 0
0 0 1
```

### Function Signature:

Write a function f(inputs) that takes in the input.
```python
def f(inputs: List[Tuple[int, int, int, List[List[int]]]]):
    '''
    inputs: a list of tuples, where each tuple consists of:
        - an integer N
        - an integer M
        - an integer L
        - a list of lists of integers representing initial values
    '''
```