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Polish tree dfs challenge and solution (#78)
Update constraints and algorithm discussion.
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"cell_type": "markdown",
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"cell_type": "markdown",
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"metadata": {},
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"metadata": {},
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"source": [
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"source": [
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"## Problem: Implement depth-first searches (in-order, pre-order, post-order traversals) on a binary tree.\n",
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"## Problem: Implement depth-first traversals (in-order, pre-order, post-order) on a binary tree.\n",
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"\n",
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"\n",
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"* [Constraints](#Constraints)\n",
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"* [Constraints](#Constraints)\n",
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"* [Test Cases](#Test-Cases)\n",
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"* [Test Cases](#Test-Cases)\n",
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"## Constraints\n",
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"## Constraints\n",
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"\n",
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"\n",
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"* Can we assume we already have a Node class with an insert method?\n",
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"* Can we assume we already have a Node class with an insert method?\n",
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" * Yes\n",
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"* What should we do with each node when we process it?\n",
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" * Call an input method `visit_func` on the node\n",
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"* Can we assume this fits in memory?\n",
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" * Yes"
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" * Yes"
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]
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]
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},
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},
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@ -203,21 +207,21 @@
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],
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],
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"metadata": {
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"metadata": {
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"kernelspec": {
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"kernelspec": {
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"display_name": "Python 2",
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"display_name": "Python 3",
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"language": "python",
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"language": "python",
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"name": "python2"
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"name": "python3"
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},
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},
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"language_info": {
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"language_info": {
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"codemirror_mode": {
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"codemirror_mode": {
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"name": "ipython",
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"name": "ipython",
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"version": 2
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"version": 3
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},
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},
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"file_extension": ".py",
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"mimetype": "text/x-python",
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"name": "python",
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"name": "python",
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"nbconvert_exporter": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython2",
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"pygments_lexer": "ipython3",
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"version": "2.7.10"
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"version": "3.5.0"
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}
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}
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},
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},
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"nbformat": 4,
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"nbformat": 4,
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@ -18,7 +18,7 @@
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"cell_type": "markdown",
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"cell_type": "markdown",
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"metadata": {},
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"metadata": {},
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"source": [
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"source": [
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"## Problem: Implement depth-first searches (in-order, pre-order, post-order traversals) on a binary tree.\n",
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"## Problem: Implement depth-first traversals (in-order, pre-order, post-order) on a binary tree.\n",
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"\n",
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"\n",
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"* [Constraints](#Constraints)\n",
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"* [Constraints](#Constraints)\n",
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"* [Test Cases](#Test-Cases)\n",
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"* [Test Cases](#Test-Cases)\n",
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@ -34,6 +34,10 @@
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"## Constraints\n",
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"## Constraints\n",
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"\n",
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"\n",
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"* Can we assume we already have a Node class with an insert method?\n",
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"* Can we assume we already have a Node class with an insert method?\n",
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" * Yes\n",
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"* What should we do with each node when we process it?\n",
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" * Call an input method `visit_func` on the node\n",
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"* Can we assume this fits in memory?\n",
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" * Yes"
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" * Yes"
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]
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]
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},
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},
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@ -67,6 +71,10 @@
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"\n",
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"\n",
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"## Test Cases\n",
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"## Test Cases\n",
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"\n",
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"\n",
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"Note:\n",
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"\n",
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"* This following are all forms of depth-first traversals\n",
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"\n",
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"### In-Order Traversal\n",
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"### In-Order Traversal\n",
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"\n",
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"\n",
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"* Recursively call in-order traversal on the left child\n",
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"* Recursively call in-order traversal on the left child\n",
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@ -77,9 +85,6 @@
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"* Time: O(n)\n",
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"* Time: O(n)\n",
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"* Space: O(m), where m is the recursion depth, or O(1) if using an iterative approach\n",
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"* Space: O(m), where m is the recursion depth, or O(1) if using an iterative approach\n",
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"\n",
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"\n",
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"Note:\n",
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"* This is a form of a depth-first traversal\n",
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"\n",
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"### Pre-Order Traversal\n",
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"### Pre-Order Traversal\n",
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"\n",
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"\n",
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"* Visit the current node\n",
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"* Visit the current node\n",
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@ -90,9 +95,6 @@
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"* Time: O(n)\n",
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"* Time: O(n)\n",
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"* Space: O(m), where m is the recursion depth, or O(1) if using an iterative approach\n",
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"* Space: O(m), where m is the recursion depth, or O(1) if using an iterative approach\n",
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"\n",
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"\n",
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"Note:\n",
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"* This is a form of a depth-first traversal\n",
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"\n",
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"### Post-Order Traversal\n",
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"### Post-Order Traversal\n",
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"\n",
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"\n",
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"* Recursively call post-order traversal on the left child\n",
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"* Recursively call post-order traversal on the left child\n",
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@ -101,10 +103,7 @@
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"\n",
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"\n",
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"Complexity:\n",
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"Complexity:\n",
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"* Time: O(n)\n",
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"* Time: O(n)\n",
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"* Space: O(m), where m is the recursion depth, or O(1) if using an iterative approach\n",
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"* Space: O(m), where m is the recursion depth, or O(1) if using an iterative approach"
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"\n",
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"Note:\n",
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"* This is a form of a depth-first traversal"
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]
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]
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},
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},
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{
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{
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@ -279,7 +278,7 @@
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"name": "python",
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"name": "python",
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"nbconvert_exporter": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"pygments_lexer": "ipython3",
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"version": "3.4.3"
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"version": "3.5.0"
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}
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}
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},
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},
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"nbformat": 4,
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"nbformat": 4,
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