Spiral view of diamond element in square matrix
The Spiral view of diamond elements in a square matrix is a problem where you need to traverse and print certain elements of a square matrix in a spiral pattern. The matrix is divided into four quadrants, and the diagonal elements from each quadrant are traversed in a spiral order.
Problem Statement
Given a square matrix, the task is to traverse and print its diagonal elements in a spiral order, starting from the topleft corner and moving towards the center.
Example
Consider the following 7x7 square matrix:
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30 31 32 33 34 35
36 37 38 39 40 41 42
43 44 45 46 47 48 49
The diagonal elements in the spiral view are:
4 12 20 28 34 40 46 38 30 22 16 10 11 19 27 33 39 31 23 17 18 26 32 24 25
Idea to Solve the Problem
To solve this problem, we need to divide the matrix into four quadrants: P1, P2, P3, and P4. The diagonal elements of these quadrants are traversed in a spiral order, and the elements are printed accordingly.
Pseudocode
function spiralDiamondView(matrix, x, y, m, n, k):
midCol = y + (n  y) / 2
midRow = midCol
Traverse diagonal elements in quadrant P1 and print them
Traverse diagonal elements in quadrant P2 and print them
Traverse diagonal elements in quadrant P3 and print them
Traverse diagonal elements in quadrant P4 and print them
if x + 1 <= m  1 and k > 0:
Recursive call with inner submatrix
function diamondSpiral(matrix):
row = number of rows in matrix
col = number of columns in matrix
if row != col or col is even:
Print "Not perfect odd square matrix"
return
Call spiralDiamondView with initial parameters
Algorithm Explanation

The
spiralDiamondView
function takes a matrix and boundaries (x
,y
,m
,n
) as inputs. 
It calculates the middle column and row indices.

It traverses the diagonal elements in quadrant P1 and prints them.

It traverses the diagonal elements in quadrant P2 and prints them.

It traverses the diagonal elements in quadrant P3 and prints them.

It traverses the diagonal elements in quadrant P4 and prints them.

If there is an inner submatrix (when
x + 1 <= m  1
), the algorithm makes a recursive call to the same function with the inner submatrix as arguments. 
The
diamondSpiral
function checks if the matrix is a perfect odd square matrix and then callsspiralDiamondView
with initial parameters.
Program List

1) Spiral view of diamond elements in square matrix in java
2) Spiral view of diamond elements in square matrix in c++
3) Spiral view of diamond elements in square matrix in c
4) Spiral view of diamond elements in square matrix in c#
5) Spiral view of diamond elements in square matrix in vb.net
6) Spiral view of diamond elements in square matrix in php
7) Spiral view of diamond elements in square matrix in node js
8) Spiral view of diamond elements in square matrix in typescript
9) Spiral view of diamond elements in square matrix in python
10) Spiral view of diamond elements in square matrix in ruby
11) Spiral view of diamond elements in square matrix in scala
12) Spiral view of diamond elements in square matrix in swift
13) Spiral view of diamond elements in square matrix in kotlin
14) Spiral view of diamond elements in square matrix in golang
Time Complexity
The time complexity of the diagonal spiral traversal algorithm is O(n), where n is the number of elements in the matrix. This is because each element is visited exactly once.
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