From 5870547d6098d0d3d1ec765013041f23d6909ca4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?J=C3=A9r=C3=A9mie=20Gillet?= Date: Tue, 24 Jul 2018 17:32:30 +0900 Subject: [PATCH 1/3] Updating Scratch tree traversal with svgs --- contents/tree_traversal/code/scratch/bfs.svg | 1 + .../tree_traversal/code/scratch/dfs from.svg | 1 + .../tree_traversal/code/scratch/dfs-in.svg | 1 + .../tree_traversal/code/scratch/dfs-post.svg | 1 + .../tree_traversal/code/scratch/dfs-stack.svg | 1 + contents/tree_traversal/code/scratch/dfs.svg | 1 + .../code/scratch/scratch_tree.png | Bin 671540 -> 0 bytes .../tree_traversal/code/scratch/struct.svg | 1 + contents/tree_traversal/tree_traversal.md | 36 ++++++++++-------- 9 files changed, 28 insertions(+), 15 deletions(-) create mode 100644 contents/tree_traversal/code/scratch/bfs.svg create mode 100644 contents/tree_traversal/code/scratch/dfs from.svg create mode 100644 contents/tree_traversal/code/scratch/dfs-in.svg create mode 100644 contents/tree_traversal/code/scratch/dfs-post.svg create mode 100644 contents/tree_traversal/code/scratch/dfs-stack.svg create mode 100644 contents/tree_traversal/code/scratch/dfs.svg delete mode 100644 contents/tree_traversal/code/scratch/scratch_tree.png create mode 100644 contents/tree_traversal/code/scratch/struct.svg diff --git a/contents/tree_traversal/code/scratch/bfs.svg b/contents/tree_traversal/code/scratch/bfs.svg new file mode 100644 index 000000000..d7cf1e692 --- /dev/null +++ b/contents/tree_traversal/code/scratch/bfs.svg @@ -0,0 +1 @@ +definebfsdeleteallofbfsdeleteallofqueueiflengthoflChild>0thenadd1toqueuerepeatuntillengthofqueue=0repeatuntilnotitem1ofqueue=0delete1ofqueueiflengthofqueue>0thenadditem1ofqueuetobfsadditemitem1ofqueueoflChildtoqueueadditemitem1ofqueueofmChildtoqueueadditemitem1ofqueueofrChildtoqueuedelete1ofqueue \ No newline at end of file diff --git a/contents/tree_traversal/code/scratch/dfs from.svg b/contents/tree_traversal/code/scratch/dfs from.svg new file mode 100644 index 000000000..c74530663 --- /dev/null +++ b/contents/tree_traversal/code/scratch/dfs from.svg @@ -0,0 +1 @@ +definedfsfromiifi>0thenadditodfsdfsfromitemioflChilddfsfromitemiofmChilddfsfromitemiofrChild \ No newline at end of file diff --git a/contents/tree_traversal/code/scratch/dfs-in.svg b/contents/tree_traversal/code/scratch/dfs-in.svg new file mode 100644 index 000000000..058c1baa8 --- /dev/null +++ b/contents/tree_traversal/code/scratch/dfs-in.svg @@ -0,0 +1 @@ +definedfsin-orderfromiifi>0thendfsin-orderfromitemioflChildadditodfsdfspostorderfromitemiofrChild \ No newline at end of file diff --git a/contents/tree_traversal/code/scratch/dfs-post.svg b/contents/tree_traversal/code/scratch/dfs-post.svg new file mode 100644 index 000000000..6fb3c47a6 --- /dev/null +++ b/contents/tree_traversal/code/scratch/dfs-post.svg @@ -0,0 +1 @@ +definedfspostorderfromiifi>0thendfspostorderfromitemiofrChilddfspostorderfromitemiofmChilddfspostorderfromitemioflChildadditodfs \ No newline at end of file diff --git a/contents/tree_traversal/code/scratch/dfs-stack.svg b/contents/tree_traversal/code/scratch/dfs-stack.svg new file mode 100644 index 000000000..4dc97f2c2 --- /dev/null +++ b/contents/tree_traversal/code/scratch/dfs-stack.svg @@ -0,0 +1 @@ +definedfsstackdeleteallofdfsdeleteallofstackiflengthoflChild>0thenadd1tostackrepeatuntillengthofstack=0repeatuntilnotitem1ofstack=0delete1ofstackiflengthofstack>0thenadditem1ofstacktodfsdelete1ofstackinsertitemitemlastofdfsofrChildat1ofstackinsertitemitemlastofdfsofmChildat1ofstackinsertitemitemlastofdfsoflChildat1ofstack \ No newline at end of file diff --git a/contents/tree_traversal/code/scratch/dfs.svg b/contents/tree_traversal/code/scratch/dfs.svg new file mode 100644 index 000000000..8b600a461 --- /dev/null +++ b/contents/tree_traversal/code/scratch/dfs.svg @@ -0,0 +1 @@ +definedfsdeleteallofdfsiflengthoflChild>0thendfsfrom1 \ No newline at end of file diff --git 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a/contents/tree_traversal/tree_traversal.md +++ b/contents/tree_traversal/tree_traversal.md @@ -19,8 +19,9 @@ This has not been implemented in your chosen language, so here is the Julia code {% sample lang="py" %} [import:1-4, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -This has not been implemented in your chosen language, so here is the Julia code -[import:3-7, lang:"julia"](code/julia/Tree.jl) +

+ +

{% sample lang="rs"%} [import:4-7, lang:"rust"](code/rust/tree.rs) {% sample lang="hs"%} @@ -45,8 +46,10 @@ Because of this, the most straightforward way to traverse the tree might be recu {% sample lang="py" %} [import:18-23, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -This has not been implemented in your chosen language, so here is the Julia code -[import:9-16, lang:"julia"](code/julia/Tree.jl) +

+ + +

{% sample lang="rs"%} [import:9-15 lang:"rust"](code/rust/tree.rs) {% sample lang="hs"%} @@ -81,8 +84,9 @@ This has not been implemented in your chosen language, so here is the Julia code {% sample lang="py" %} [import:26-31, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -This has not been implemented in your chosen language, so here is the Julia code -[import:18-26, lang:"julia"](code/julia/Tree.jl) +

+ +

{% sample lang="rs"%} This has not been implemented in your chosen language, so here is the Julia code [import:18-26, lang:"julia"](code/julia/Tree.jl) @@ -113,8 +117,9 @@ This has not been implemented in your chosen language, so here is the Julia code {% sample lang="py" %} [import:34-46, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -This has not been implemented in your chosen language, so here is the Julia code -[import:28-43, lang:"julia"](code/julia/Tree.jl) +

+ +

{% sample lang="rs"%} This has not been implemented in your chosen language, so here is the Julia code [import:28-43, lang:"julia"](code/julia/Tree.jl) @@ -154,8 +159,9 @@ In code, it looks like this: {% sample lang="py" %} [import:49-60, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -This has not been implemented in your chosen language, so here is the Julia code -[import:45-56, lang:"julia"](code/julia/Tree.jl) +

+ +

{% sample lang="rs"%} [import:17-24, lang:"rust"](code/rust/tree.rs) {% sample lang="hs"%} @@ -187,8 +193,9 @@ And this is exactly what Breadth-First Search (BFS) does! On top of that, it can {% sample lang="py" %} [import:63-74, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -This has not been implemented in your chosen language, so here is the Julia code -[import:58-69, lang:"julia"](code/julia/Tree.jl) +

+ +

{% sample lang="rs"%} [import:26-34, lang:"rust"](code/rust/tree.rs) {% sample lang="hs"%} @@ -222,9 +229,8 @@ MainClass.java [import, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %} -

- -

+The code snippets were taken from this [Scratch project](https://scratch.mit.edu/projects/174017753/) + {% sample lang="rs"%} [import, lang:"rust"](code/rust/tree.rs) {% sample lang="hs"%} From 72e3122db06c7574d6918ea591fdb3e6c1ca1f3b Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?J=C3=A9r=C3=A9mie=20Gillet?= Date: Tue, 24 Jul 2018 17:45:00 +0900 Subject: [PATCH 2/3] Fixed size of svgs --- .../scratch/{dfs from.svg => dfs-from.svg} | 0 .../tree_traversal/code/scratch/dfs-post.svg | 2 +- contents/tree_traversal/tree_traversal.md | 22 +++++++++---------- 3 files changed, 12 insertions(+), 12 deletions(-) rename contents/tree_traversal/code/scratch/{dfs from.svg => dfs-from.svg} (100%) diff --git a/contents/tree_traversal/code/scratch/dfs from.svg b/contents/tree_traversal/code/scratch/dfs-from.svg similarity index 100% rename from contents/tree_traversal/code/scratch/dfs from.svg rename to contents/tree_traversal/code/scratch/dfs-from.svg diff --git a/contents/tree_traversal/code/scratch/dfs-post.svg b/contents/tree_traversal/code/scratch/dfs-post.svg index 6fb3c47a6..4aec905f7 100644 --- a/contents/tree_traversal/code/scratch/dfs-post.svg +++ b/contents/tree_traversal/code/scratch/dfs-post.svg @@ -1 +1 @@ -definedfspostorderfromiifi>0thendfspostorderfromitemiofrChilddfspostorderfromitemiofmChilddfspostorderfromitemioflChildadditodfs \ No newline at end of file +definedfspostorderfromiifi>0thendfspostorderfromitemioflChilddfspostorderfromitemiofmChilddfspostorderfromitemiofrChildadditodfs diff --git a/contents/tree_traversal/tree_traversal.md b/contents/tree_traversal/tree_traversal.md index 5423093f1..4c783a38d 100644 --- a/contents/tree_traversal/tree_traversal.md +++ b/contents/tree_traversal/tree_traversal.md @@ -20,7 +20,7 @@ This has not been implemented in your chosen language, so here is the Julia code [import:1-4, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %}

- +

{% sample lang="rs"%} [import:4-7, lang:"rust"](code/rust/tree.rs) @@ -47,8 +47,8 @@ Because of this, the most straightforward way to traverse the tree might be recu [import:18-23, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %}

- - + +

{% sample lang="rs"%} [import:9-15 lang:"rust"](code/rust/tree.rs) @@ -59,7 +59,7 @@ Because of this, the most straightforward way to traverse the tree might be recu At least to me, this makes a lot of sense. We fight recursion with recursion! First, we first output the node we are on and then we call `DFS_recursive(...)` on each of its children nodes. This method of tree traversal does what its name implies: it goes to the depths of the tree first before going through the rest of the branches. In this case, the ordering looks like:

- +

Note that the in the code above, we are missing a crucial step: *checking to see if the node we are using actually exists!* Because we are using a vector to store all the nodes, we will be careful not to run into a case where we call `DFS_recursive(...)` on a node that has yet to be initialized; however, depending on the language we are using, we might need to be careful of this to avoid recursion errors! @@ -85,7 +85,7 @@ This has not been implemented in your chosen language, so here is the Julia code [import:26-31, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %}

- +

{% sample lang="rs"%} This has not been implemented in your chosen language, so here is the Julia code @@ -95,7 +95,7 @@ This has not been implemented in your chosen language, so here is the Julia code {% endmethod %}

- +

In this case, the first node visited is at the bottom of the tree and moves up the tree branch by branch. In addition to these two types, binary trees have an *in-order* traversal scheme that looks something like this: @@ -118,7 +118,7 @@ This has not been implemented in your chosen language, so here is the Julia code [import:34-46, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %}

- +

{% sample lang="rs"%} This has not been implemented in your chosen language, so here is the Julia code @@ -128,7 +128,7 @@ This has not been implemented in your chosen language, so here is the Julia code {% endmethod %}

- +

@@ -160,7 +160,7 @@ In code, it looks like this: [import:49-60, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %}

- +

{% sample lang="rs"%} [import:17-24, lang:"rust"](code/rust/tree.rs) @@ -172,7 +172,7 @@ This has not been implemented in your chosen language, so here is the Julia code All this said, there are a few details about DFS that might not be idea, depending on the situation. For example, if we use DFS on an incredibly long tree, we will spend a lot of time going further and further down a single branch without searching the rest of the data structure. In addition, it is not the natural way humans would order a tree if asked to number all the nodes from top to bottom. I would argue a more natural traversal order would look something like this:

- +

And this is exactly what Breadth-First Search (BFS) does! On top of that, it can be implemented in the same way as the `DFS_stack(...)` function above, simply by swapping the `stack` for a `queue`, which is similar to a stack, except that it only allows you to interact with the very first element instead of the last. In code, this looks something like: @@ -194,7 +194,7 @@ And this is exactly what Breadth-First Search (BFS) does! On top of that, it can [import:63-74, lang:"python"](code/python/Tree_example.py) {% sample lang="scratch" %}

- +

{% sample lang="rs"%} [import:26-34, lang:"rust"](code/rust/tree.rs) From 8bc0c13801f9e6da64e58eb08fbbbdc2f166ec54 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?J=C3=A9r=C3=A9mie=20Gillet?= Date: Tue, 24 Jul 2018 17:51:13 +0900 Subject: [PATCH 3/3] Modified size of other images by mistake --- contents/tree_traversal/tree_traversal.md | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/contents/tree_traversal/tree_traversal.md b/contents/tree_traversal/tree_traversal.md index 4c783a38d..c33c5bb83 100644 --- a/contents/tree_traversal/tree_traversal.md +++ b/contents/tree_traversal/tree_traversal.md @@ -59,7 +59,7 @@ Because of this, the most straightforward way to traverse the tree might be recu At least to me, this makes a lot of sense. We fight recursion with recursion! First, we first output the node we are on and then we call `DFS_recursive(...)` on each of its children nodes. This method of tree traversal does what its name implies: it goes to the depths of the tree first before going through the rest of the branches. In this case, the ordering looks like:

- +

Note that the in the code above, we are missing a crucial step: *checking to see if the node we are using actually exists!* Because we are using a vector to store all the nodes, we will be careful not to run into a case where we call `DFS_recursive(...)` on a node that has yet to be initialized; however, depending on the language we are using, we might need to be careful of this to avoid recursion errors! @@ -95,7 +95,7 @@ This has not been implemented in your chosen language, so here is the Julia code {% endmethod %}

- +

In this case, the first node visited is at the bottom of the tree and moves up the tree branch by branch. In addition to these two types, binary trees have an *in-order* traversal scheme that looks something like this: @@ -128,7 +128,7 @@ This has not been implemented in your chosen language, so here is the Julia code {% endmethod %}

- +

@@ -172,7 +172,7 @@ This has not been implemented in your chosen language, so here is the Julia code All this said, there are a few details about DFS that might not be idea, depending on the situation. For example, if we use DFS on an incredibly long tree, we will spend a lot of time going further and further down a single branch without searching the rest of the data structure. In addition, it is not the natural way humans would order a tree if asked to number all the nodes from top to bottom. I would argue a more natural traversal order would look something like this:

- +

And this is exactly what Breadth-First Search (BFS) does! On top of that, it can be implemented in the same way as the `DFS_stack(...)` function above, simply by swapping the `stack` for a `queue`, which is similar to a stack, except that it only allows you to interact with the very first element instead of the last. In code, this looks something like: