Question

IN PYTHON 4) Write an algorithm for a function called add3D which takes 2 parameters: two different, non-jagged 3D sequences. You may assume that the arrays are the same size and contain compatible types. The function should create a new sequence of the appropriate size, add the two elements at the corresponding spots together, store them in the new 3D array, and return the new 3D array. NOTE: This may be done in pseudo-code or the language of your choice

Answer 1

Solution to the given problem:

def add3D(a,b):
sum=[[[0,0,0],[0,0,0],[0,0,0]],[[0,0,0],[0,0,0],[0,0,0]],[[0,0,0],[0,0,0],[0,0,0]]]
for i in range(3):
for j in range(3):
for k in range(3):
sum[i][j][k]=(a[i][j][k] + b[i][j][k])
return sum

Problem Explanation:

• Given Problem is to Write a Function that accepts two 3d Array and sums them ,store in another 3d array and Returns that 3d array
• A typical 3d array(3-dimensional array) will be in format :

3D_ARRAY =[

[[<data>,<data>,<data>], [<data>,<data>,<data>], [<data>,<data>,<data>]],
[[<data>,<data>,<data>], [<data>,<data>,<data>], [<data>,<data>,<data>]],
[[<data>,<data>,<data>], [<data>,<data>,<data>], [<data>,<data>,<data>]]
]

Or

3D_ARRAY =[[[<data>,<data>,<data>], [<data>,<data>,<data>], [<data>,<data>,<data>]],[[<data>,<data>,<data>], [<data>,<data>,<data>], [<data>,<data>,<data>]],[[<data>,<data>,<data>], [<data>,<data>,<data>], [<data>,<data>,<data>]]]

Explanation for Solution :

• Initially we get the two 3D_ARRAYs in function by having the as parameters
• Then we create a empty 3D_ARRAY with every data set as 0 ,we call 3D_ARRAY as sum
• Then using three for loops we get the values from the two given 3D_ARRAYs and add those values and Store in sum array​​​​​​​
• Then we return the sum array using return statement

An Example for the question:

def add3D(a,b):
c=[[[0,0,0],[0,0,0],[0,0,0]],[[0,0,0],[0,0,0],[0,0,0]],[[0,0,0],[0,0,0],[0,0,0]]]
for i in range(3):
for j in range(3):
for k in range(3):
c[i][j][k]=(a[i][j][k] + b[i][j][k])
return c
x=[ [ [1,1,1],[1,2,3],[1,2,3] ] , [ [1,1,1],[1,2,3],[1,2,3] ],[ [1,1,1],[1,2,3],[1,2,3] ] ]
y=[ [ [1,1,1],[1,2,3],[1,2,3] ] , [ [1,1,1],[1,2,3],[1,2,3] ],[ [1,1,1],[1,2,3],[1,2,3] ] ]
print(add3D(x,y))

Output :

[[[2, 2, 2], [2, 4, 6], [2, 4, 6]], [[2, 2, 2], [2, 4, 6], [2, 4, 6]], [[2, 2, 2], [2, 4, 6], [2, 4, 6]]]
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