finding heap child and partents
I did anwer the question but I'm not sure if this is right. can you guys double check my answer and let me know if its wrong.
Question 1: For the heap element at position i in the underlying array of a 3-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i.)
my Answer1: 2i +1(left child) and 2i+2(right child) and i(parent)
Question 2: For the heap element at position i in the underlying array of a d-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i and d.)
my Answer2: di+1(left child) and di+2(right child)
trees
asked Nov 24 '15 at 0:34
dav
11
add a comment |
I did anwer the question but I'm not sure if this is right. can you guys double check my answer and let me know if its wrong.
Question 1: For the heap element at position i in the underlying array of a 3-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i.)
my Answer1: 2i +1(left child) and 2i+2(right child) and i(parent)
Question 2: For the heap element at position i in the underlying array of a d-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i and d.)
my Answer2: di+1(left child) and di+2(right child)
trees
asked Nov 24 '15 at 0:34
dav
11
add a comment |
I did anwer the question but I'm not sure if this is right. can you guys double check my answer and let me know if its wrong.
Question 1: For the heap element at position i in the underlying array of a 3-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i.)
my Answer1: 2i +1(left child) and 2i+2(right child) and i(parent)
Question 2: For the heap element at position i in the underlying array of a d-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i and d.)
my Answer2: di+1(left child) and di+2(right child)
trees
asked Nov 24 '15 at 0:34
dav
11
I did anwer the question but I'm not sure if this is right. can you guys double check my answer and let me know if its wrong.
Question 1: For the heap element at position i in the underlying array of a 3-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i.)
my Answer1: 2i +1(left child) and 2i+2(right child) and i(parent)
Question 2: For the heap element at position i in the underlying array of a d-heap, what are the positions of its immediate chidren and its parent? (Give formulas in terms of i and d.)
my Answer2: di+1(left child) and di+2(right child)
trees
trees
asked Nov 24 '15 at 0:34
dav
11
asked Nov 24 '15 at 0:34
dav
11
asked Nov 24 '15 at 0:34
dav
11
asked Nov 24 '15 at 0:34
dav
11
asked Nov 24 '15 at 0:34
dav
11
11
add a comment |
add a comment |
1 Answer
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Question 1: A 3-heap would have three children. So, the positions of the children of the element at position $i$ would be $3i+1,3i+2,and,3i+3$. The position of its parent would be $,floorleft( frac { (i-1) }{ 3 } right)$.
Question 2: The positions of the immediate children are $di+1$ through $di+d$. The position of the parent is $,floorleft( frac { (i-1) }{ d } right)$.
answered Nov 24 '15 at 0:42
acheigrec
11
add a comment |
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1 Answer
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1 Answer
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Question 1: A 3-heap would have three children. So, the positions of the children of the element at position $i$ would be $3i+1,3i+2,and,3i+3$. The position of its parent would be $,floorleft( frac { (i-1) }{ 3 } right)$.
Question 2: The positions of the immediate children are $di+1$ through $di+d$. The position of the parent is $,floorleft( frac { (i-1) }{ d } right)$.
answered Nov 24 '15 at 0:42
acheigrec
11
add a comment |
Question 1: A 3-heap would have three children. So, the positions of the children of the element at position $i$ would be $3i+1,3i+2,and,3i+3$. The position of its parent would be $,floorleft( frac { (i-1) }{ 3 } right)$.
Question 2: The positions of the immediate children are $di+1$ through $di+d$. The position of the parent is $,floorleft( frac { (i-1) }{ d } right)$.
answered Nov 24 '15 at 0:42
acheigrec
11
add a comment |
Question 1: A 3-heap would have three children. So, the positions of the children of the element at position $i$ would be $3i+1,3i+2,and,3i+3$. The position of its parent would be $,floorleft( frac { (i-1) }{ 3 } right)$.
Question 2: The positions of the immediate children are $di+1$ through $di+d$. The position of the parent is $,floorleft( frac { (i-1) }{ d } right)$.
answered Nov 24 '15 at 0:42
acheigrec
11
Question 1: A 3-heap would have three children. So, the positions of the children of the element at position $i$ would be $3i+1,3i+2,and,3i+3$. The position of its parent would be $,floorleft( frac { (i-1) }{ 3 } right)$.
Question 2: The positions of the immediate children are $di+1$ through $di+d$. The position of the parent is $,floorleft( frac { (i-1) }{ d } right)$.
answered Nov 24 '15 at 0:42
acheigrec
11
edited Nov 24 '15 at 0:56
answered Nov 24 '15 at 0:42
acheigrec
11
answered Nov 24 '15 at 0:42
acheigrec
11
answered Nov 24 '15 at 0:42
acheigrec
11
11
add a comment |
add a comment |
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