Inserting an Element into Deaps

Data Structure AlgorithmsAnalysis of AlgorithmsAlgorithms

To insert element into deap data structure, we might need the procedures to calculate the minimum and maximum values as depicted below −

Procedure min_value(m): //To calculate the minimum value in deap. return m-2log2((m-1) ;

Procedure max_value(m): //To calculate the maximum value in deap. return m+2log2(m-1);

The insertion operation in deap data structure can be done in following way −

  • For any heap b[], we should check if m is a position within the maximum-heap of deap.
  • We shall then calculate the minimum and maximum values in deap.
  • Now, comparison is done between the key values at left sub-tree and right sub-tree.
  • At last, we perform the insertion operation with following Algorithm.
Procedure deap_insertion(b[], y, m):
if (m==1)
   b[2]=y;
else{
   if(m is in maximum subtree){
      index=min_value(m);
      if(y<b[index]){
         b[m]=b[index];
         insert y in minimum subtree;
      }
      else
         insert y in maximum subtree;
   } else {
      index=max_value(m);
   if(x>b[index]){
      b[m]=b[index];
      insert y into maximum subtree;
   }
   else
      insert y into minimum subtree;
}
raja
Published on 03-Jan-2020 10:07:19
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