finding heap child and partents
up vote
0
down vote
favorite
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 |
up vote
0
down vote
favorite
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 |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
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
1
active
oldest
votes
up vote
0
down vote
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 |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1543656%2ffinding-heap-child-and-partents%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
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 |
up vote
0
down vote
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 |
up vote
0
down vote
up vote
0
down vote
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 |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1543656%2ffinding-heap-child-and-partents%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
