# Inserting an Element into Deaps

Data Structure AlgorithmsAnalysis of AlgorithmsAlgorithms

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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=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;
}