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In this lesson we are going to solve deprogramming interview question and the question is given a two-dimensionalarray of integers we want to traverse and print the elements in the array in spiral order for example if we have a 2darray like this let#39’s call this input array we have four rows and four columns here our input array may have any number of rows and any number of columns and now let's say we want to traverse this array in spiral order in clockwise direction so what we will do is we will start at two and first reverse the to prow we will go like two four six eights we will go right, and then we will godown along the rightmost column and thence will again go left along thebottommost row, and we will traverse the array something like this and as output we have to print all the elements in the array as we traverse it in spiral orders let's say we want to print acomma-separated list of elements, so our list will be something like 2 4 6 8 16 98 1 2 3 2 5 9 12 5 and 11 so how do we approach this problem there are some straightforward observations the first observation is that we can have 4possible directions while traversing the array we can go along a row from left tonight, or we can go along a column from top to bottom let#39’s call this direction down, or we can go along it will row from right to left let's call this direction left, or we can go along a column from top to bottom let#39’s call this direction up we will go on changing directions in acyclic manner from right we will godown down to left to up and from up again to right, and we will not go in grow or column twice so once we are done with row or column we will not go to that row or column again we can perceive this problem something like this first we will print the top row from left to right, and now we do not need to come back to this row again owlet#39’s say we will keep on reducing the array as we traverse a row or column so that the array that remains to be traversed is there and that which is traversed is not there, so first we will traverse the top row, and then we will change our direction and traverse the rightmost column and once we are done with the rightmost column we will traverse the bottom most row and then Weill goes to the leftmost column and once again we will go to the topmost row whatever is the topmost after all this removal of rows and columns once again we will go to rightmost column this time we have only one element in the column and once again we will go to bottom mos trow this is what we will be left with after all the peeling off let us now implement this logic of peeling off grow or column once we are done traversing it we do not actually need to delete elements from the array to achieve this what we can do is we can mark the boundaries of the un--traversed array using some variables so what I'm going to take do is I'm going to take four variables one to mark the topmost row of the UN-- traversed array another to month bottom most row of then--...
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