Difference between revisions of "Talk:TADM2E 4.4"

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             swap(a,++index_blue,index)
 
             swap(a,++index_blue,index)
  
The  ''swap''' above makes it a non-stable sort.
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The  ''swap'' above makes it a non-stable sort.
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''Any stable source can do'' looks inaccurate to me. Insert and selection are O(n^2). Bucket sort and the variant at the top seem the only ways to do it in O(n).

Latest revision as of 00:12, 21 November 2019

Why break up the pairs and use buckets? It seems like you simply need three passes: First pass - get the reds and insert them in order into a new array of size n (assuming we can use additional space) Second pass - get the blues and insert them in order into the array Third pass - get the yellows and insert them in order into the array

Each pass is O(n) since we have to visit each element, so the entire algorithm is O(n).


EDIT: Why three passes ? .Two passes can do it

   index_red=-1
   for index =0 to a.length-1
      if a[index].color == "Red"
         swap(a,++index_red,index)
   index_blue=index_red
   for index = index_blue+1 to a.length-1
       if a[index].color=="blue"
            swap(a,++index_blue,index)

The swap above makes it a non-stable sort.

Any stable source can do looks inaccurate to me. Insert and selection are O(n^2). Bucket sort and the variant at the top seem the only ways to do it in O(n).