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algorithm's Introduction

Algorithm

Consist of some basic algorithms implemented in Java

  • Quick Find (Interpretation:- Let p and q be two elements of array, they are connected iff they have same ID's

    Find:- Check if p and q have same ID

       id[p]==id[q], connected, or
       id[p]!=id[q], not connected
    

    Union:- To merge components containing p and q, change all entries whose ID equals id[p] into id[q])

  • Quick Union (Interpretation:- Let p and q be two elements of array, they are connected via link such that q is the root element of p

    Find:- Check if p and q have the same root or not

       root(p)==root(q), connected, or
       root(p)!=root(q), not connected
    

    Union:- To merge components containing p and q, set the id of p's root to the id of q's root)

  • Weighted Quick Union (Interpretation:- Same as Quick Union except a size array sz[] is used which holds the number of elements in a tree

    Find:- Same as Qucick Union

    Union:-Modify Quick Union to:-

     1.)Link Root of a smaller tree to root of larger tree making it a child of larger tree.
     2.)Update the sz[] array to total no of elements now in a tree)
    

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