- Prepare
- Python
- Basic Data Types
- List Comprehensions

# List Comprehensions

# List Comprehensions

Let's learn about list comprehensions! You are given three integers and representing the dimensions of a cuboid along with an integer . Print a list of all possible coordinates given by on a 3D grid where the sum of is not equal to . Here, . Please use list comprehensions rather than multiple loops, as a learning exercise.

**Example**

All permutations of are:

.

Print an array of the elements that do not sum to .

**Input Format**

Four integers and , each on a separate line.

**Constraints**

Print the list in lexicographic increasing order.

**Sample Input 0**

```
1
1
1
2
```

**Sample Output 0**

```
[[0, 0, 0], [0, 0, 1], [0, 1, 0], [1, 0, 0], [1, 1, 1]]
```

**Explanation 0**

Each variable and will have values of or . All permutations of lists in the form .

Remove all arrays that sum to to leave only the valid permutations.

**Sample Input 1**

```
2
2
2
2
```

**Sample Output 1**

```
[[0, 0, 0], [0, 0, 1], [0, 1, 0], [0, 1, 2], [0, 2, 1], [0, 2, 2], [1, 0, 0], [1, 0, 2], [1, 1, 1], [1, 1, 2], [1, 2, 0], [1, 2, 1], [1, 2, 2], [2, 0, 1], [2, 0, 2], [2, 1, 0], [2, 1, 1], [2, 1, 2], [2, 2, 0], [2, 2, 1], [2, 2, 2]]
```