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  1. Practice
  2. Python
  3. Basic Data Types
  4. 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]]