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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]]
Four integers x, y, z and n, each on a separate line.
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]].
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], ]
if __name__ == '__main__':
x = int(input())
y = int(input())
z = int(input())
n = int(input())
output=[]
for i in range(x+1):
for j in range(y+1):
for k in range(z+1):
if i+j+k==n:
continue
else:
out.append([i,j,k])
print(output)
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