Showing posts with label matrix. Show all posts
Showing posts with label matrix. Show all posts

07 October 2010

Print a Matrix in diagonal zig zag order

Problem:
Given a square matrix, write a program to print the items in zig zag diagonal order.

Following is an example,

So the output expected for the above example is,

1 -> 2 -> 6 -> 3 -> 7 -> 11 -> 4 -> 8 -> 12 -> 16 -> 5 -> 9 -> 13 -> 17 -> 21 -> 10 -> 14 -> 18 -> 22 -> 15 -> 19 -> 23 -> 20 -> 24 -> 25

Solution:

This program is a bit tricky and is very hard to solve immediately when asked in an interview. People who try to attack problems involving matrices always think they need at least two loops to arrive at the solution. But the surprise here is the problem can be solved in just a single loop with a very simple logic. I have provided the solution in C++ below, you may also try to solve the same in the language of your choice!!


Cheers!!
Jack