We use cookies to ensure you have the best browsing experience on our website. Please read our cookie policy for more information about how we use cookies.
  1. Prepare
  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]]