## List Comprehensions

Let’s learn about list comprehensions! You are given three integers x,y and z representing the dimensions of a cuboid along with an integer. Print a list of all possible coordinates given by(x,y,z) on a 3D grid where the sum of( i+j+k) is not equal to n. Here, o<=i<=x,0<=j<=y ,0<=k<=z . Please use list comprehensions rather than multiple loops, as a learning exercise.

**Example**

x=1

y=1

z=2

n=3

All permutations of [i,j,k] are:

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

Print an array of the elements that do not sum to n=3 .

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

**Input Format**

Four integers x,y,z and n , 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 x,y and z will have values of 0 or 1 . All permutations of lists in the form .

[i,j,k]=[[0,0,0],[0,0,1],[0,1,0],[0,1,1],[1,0,0],[1,0,1],[1,1,0],[1,1,1]]

Remove all arrays that sum to n=2 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

**Code:**

if __name__ == '__main__': a = int(input()) b = int(input()) c = int(input()) n = int(input()) print([[x,y,z] for x in range(a+1) for y in range(b+1) for z in range(c+1) if (x+y+z)!=n])

Disclaimer: These problems are originally created and published by HackerRank, we only provide solutions to those problems.Hence, doesn’t guarantee the truthfulness of the problem. This is only for information purposes.