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Commit 04a93df

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least common ancestor
1 parent 4a424e2 commit 04a93df

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  • Data-Structure/Tree/Binary Tree/LCA

1 file changed

+53
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'use strict';
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class Node {
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constructor(data) {
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this.data = data;
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this.leftNode = this.rightNode = null;
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}
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}
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function LCA(root, data1, data2) {
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if (root == null) return null;
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if (root.data == data1 || root.data == data2) return root;
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let leftLCA = LCA(root.leftNode, data1, data2);
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let rightLCA = LCA(root.rightNode, data1, data2);
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if (leftLCA != null && rightLCA != null) return root;
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return leftLCA != null ? leftLCA : rightLCA;
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}
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//level - 1
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let tree = new Node(1);
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// level - 2
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tree.leftNode = new Node(2);
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tree.rightNode = new Node(3);
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// level - 3
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tree.leftNode.leftNode = new Node(4);
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tree.leftNode.rightNode = new Node(5);
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tree.rightNode.leftNode = new Node(6);
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tree.rightNode.rightNode = new Node(7);
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// level - 4
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tree.leftNode.leftNode.leftNode = new Node(8);
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tree.leftNode.leftNode.rightNode = new Node(9);
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tree.leftNode.rightNode.leftNode = new Node(10);
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tree.leftNode.rightNode.rightNode = new Node(11);
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tree.rightNode.leftNode.leftNode = new Node(12);
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tree.rightNode.leftNode.rightNode = new Node(13);
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tree.rightNode.rightNode.leftNode = new Node(14);
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tree.rightNode.rightNode.rightNode = new Node(15);
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// 1
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// / \
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// 2 3
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// / \ / \
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// 4 5 6 7
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// / \ / \ / \ / \
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// 8 9 10 11 12 13 14 15
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let k1 = 4, k2 = 10;
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let lcaNode = LCA(tree, k1, k2);
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console.log('LCA of ' + k1 + ' and ' + k2 + ' => ', lcaNode != null ? lcaNode.data : 0);

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