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Inserting an Element into Deaps
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; }
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