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List Comprehensions.py
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List Comprehensions.py
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"""
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. 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, 0<=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],[1,0,0],[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 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]]
"""
if __name__ == '__main__':
x = int(input())
y = int(input())
z = int(input())
n = int(input())
ans = [[i, j, k] for i in range(x + 1) for j in range(y + 1) for k in range(z + 1) if i + j + k != n]
print (ans);