list_comprehensions.py

""" 
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 N. 
You have to print a list of all possible coordinates given by (i, j, k) on a 3D grid where the sum of i+j+k 
is not equal to N. Here, o <= i <= X; o <= j <= Y; o <= k <= Z

INPUT FORMAT:-
Four integers X, Y, Z and N each on four separate lines, respectively.

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]]

EXPLAINATION 0:-
CONCEPT:-
You have already used lists in previous hacks. List comprehensions are an elegant way to build a list without having to use different for loops to append values one by one. This example might help.

Example: You are given two integers x and y . You need to find out the ordered pairs ( i , j ) , such that ( i + j ) is not equal to n and print them in lexicographic order.( 0 <= i <= x ) and ( 0 <= j <= y) This is the code if we dont use list comprehensions in Python.

python x = int ( raw_input()) y = int ( raw_input()) n = int ( raw_input()) ar = [] p = 0 for i in range ( x + 1 ) : for j in range( y + 1): if i+j != n: ar.append([]) ar[p] = [ i , j ] p+=1 print ar
Other smaller codes may also exist, but using list comprehensions is always a good option. Code using list comprehensions:

python x = int ( raw_input()) y = int ( raw_input()) n = int ( raw_input()) print [ [ i, j] for i in range( x + 1) for j in range( y + 1) if ( ( i + j ) != n )]

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]]
"""

#SOLUTIONS:-

def cuboid(x,y,z,n):
    return [[i,j,k] for i in range(0,x+1) for j in range(0,y+1) for k in range(0,z+1) if i+j+k != n]


if __name__ == '__main__':
    x = int(input())
    y = int(input())
    z = int(input())
    n = int(input())
    result = cuboid(x,y,z,n)
    print(result)