Created
June 24, 2018 18:32
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Find the lowest common ancestor of 2 nodes in a BST.
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class Relationship { | |
constructor(root) { | |
this.relObj = {} | |
this.iterate(root, null, 0) | |
} | |
iterate(root, parent, level) { | |
if (root) { | |
this.relObj[root.val] = { level: level, parent: parent } | |
this.iterate(root.left, root, level + 1) | |
this.iterate(root.right, root, level + 1) | |
} | |
} | |
getParent(node) { | |
return (this.relObj[node.val] || {}).parent | |
} | |
getLevel(node) { | |
return (this.relObj[node.val] || {}).level | |
} | |
} | |
var moveQToPsLevel = function (p, q, rel) { | |
let pLevel = rel.getLevel(p) | |
let qLevel = rel.getLevel(q) | |
while(qLevel > pLevel) { | |
q = rel.getParent(q) | |
qLevel = rel.getLevel(q) | |
} | |
return { p: p, q: q } | |
} | |
/** | |
* Definition for a binary tree node. | |
* function TreeNode(val) { | |
* this.val = val; | |
* this.left = this.right = null; | |
* } | |
*/ | |
/** | |
* @param {TreeNode} root | |
* @param {TreeNode} p | |
* @param {TreeNode} q | |
* @return {TreeNode} | |
*/ | |
var lowestCommonAncestor = function(root, p, q) { | |
var rel = new Relationship(root) | |
let pLevel = rel.getLevel(p) | |
let qLevel = rel.getLevel(q) | |
if (pLevel < qLevel) { | |
var newPQ = moveQToPsLevel(p, q, rel) | |
p = newPQ.p | |
q = newPQ.q | |
} else if (pLevel > qLevel) { | |
var newPQ = moveQToPsLevel(q, p, rel) | |
p = newPQ.q | |
q = newPQ.p | |
} | |
if (p.val === q.val) { | |
return p | |
} else { | |
while(rel.getParent(p).val !== rel.getParent(q).val) { | |
p = rel.getParent(p) | |
q = rel.getParent(q) | |
} | |
return rel.getParent(p) | |
} | |
}; |
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