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diff --git a/_lectures/CS24_Lecture8_ann.pdf b/_lectures/CS24_Lecture8_ann.pdf
new file mode 100644
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new file mode 100644
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diff --git a/_lectures/lect08.md b/_lectures/lect08.md
index b152463..dfd6c88 100644
--- a/_lectures/lect08.md
+++ b/_lectures/lect08.md
@@ -5,12 +5,9 @@ desc: "Big-O running time analysis"
 ready: true
 pdfurl: /lectures/CS24_Lecture8.pdf
 annotatedpdfurl: /lectures/CS24_Lecture8_ann.pdf
-annotatedready: false	
+annotatedready: true	
 ---
-# Code from lecture
-[{{site.lect_repo}}/tree/main/{{page.num}}]({{site.lect_repo}}/tree/main/{{page.num}})
 
 # Topics
-* We'll wrap up our discussion of BSTs
-  - Remaining BST operations (predecessor, successor, delete)
-* Discuss and motivate runtime analysis
\ No newline at end of file
+* Big-O formal definition and examples
+* Analysis of recursive fibonacci algorithm (two different ways)
diff --git a/_lectures/lect09.md b/_lectures/lect09.md
new file mode 100644
index 0000000..8b62609
--- /dev/null
+++ b/_lectures/lect09.md
@@ -0,0 +1,16 @@
+---
+lecture_date: 2023-10-30
+num: "lect09"
+desc: "running time analysis – best/worst case and BST operations"
+ready: true
+pdfurl: /lectures/CS24_Lecture9.pdf
+annotatedpdfurl: /lectures/CS24_Lecture9_ann.pdf
+annotatedready: false	
+---
+# Code from lecture
+[{{site.lect_repo}}/tree/main/{{page.num}}]({{site.lect_repo}}/tree/main/{{page.num}})
+
+# Topics
+* Big Omega and big theta
+* Best case and worst case analysis of binary search 
+* Best case and worst case analysis of BST operations
\ No newline at end of file
diff --git a/_site/assets/js/calendar.js b/_site/assets/js/calendar.js
index 7b6d6d8..72a02de 100644
--- a/_site/assets/js/calendar.js
+++ b/_site/assets/js/calendar.js
@@ -160,6 +160,18 @@ var dates = [{
     
       "date" : "2023-10-25",
     
+}
+,{
+    "type" : "lectures",
+    "url" :  "/f23/lectures/lect09/",	   
+    "num" : "lect09",
+    
+        
+    "ready" : "true",
+    "desc" : "running time analysis – best/worst case and BST operations",
+    
+      "date" : "2023-10-30",
+    
 }
 ,];
 
diff --git a/_site/assets/js/scrape.js b/_site/assets/js/scrape.js
index 0b82836..bd49d3d 100644
--- a/_site/assets/js/scrape.js
+++ b/_site/assets/js/scrape.js
@@ -145,6 +145,12 @@ var DEBUGGING_ONLY = {
 		   "num" : "lect08",
 		},
 	        
+		{
+		   "collection" : "lectures",
+		   "url" : "/lectures/lect09/",
+		   "num" : "lect09",
+		},
+	        
 	    ]
 	},
 	
diff --git a/_site/index.html b/_site/index.html
index 80880ed..ed168d9 100644
--- a/_site/index.html
+++ b/_site/index.html
@@ -380,7 +380,20 @@ <h1 id="cs-24-f23-problem-solving-with-computers-ii">CS 24 F23: Problem Solving
   <td class="lect_num">2023-10-25</td>
   <td class="lect_num"><a href="/f23/lectures/lect08/" data-ajax="false">lect08</a></td>
   <td class="lect_ready">true</td>
-  <td class="lect_desc">Big-O running time analysis&nbsp;(<a href="/f23/lectures/CS24_Lecture8.pdf">slides</a>)</td>
+  <td class="lect_desc">Big-O running time analysis&nbsp;(<a href="/f23/lectures/CS24_Lecture8.pdf">slides</a>)&nbsp;(<a href="/f23/lectures/CS24_Lecture8_ann.pdf">annotated slides</a>)</td>
+
+ 
+</tr>
+
+
+
+
+ 
+<tr class="ready">
+  <td class="lect_num">2023-10-30</td>
+  <td class="lect_num"><a href="/f23/lectures/lect09/" data-ajax="false">lect09</a></td>
+  <td class="lect_ready">true</td>
+  <td class="lect_desc">running time analysis – best/worst case and BST operations&nbsp;(<a href="/f23/lectures/CS24_Lecture9.pdf">slides</a>)</td>
 
  
 </tr>
diff --git a/_site/lectures/CS24_Lecture8_ann.pdf b/_site/lectures/CS24_Lecture8_ann.pdf
new file mode 100644
index 0000000..596e87c
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diff --git a/_site/lectures/CS24_Lecture9.pdf b/_site/lectures/CS24_Lecture9.pdf
new file mode 100644
index 0000000..5fecb00
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diff --git a/_site/lectures/lect08/index.html b/_site/lectures/lect08/index.html
index 835c4dc..5073c31 100644
--- a/_site/lectures/lect08/index.html
+++ b/_site/lectures/lect08/index.html
@@ -251,21 +251,16 @@
   
 <td>lect08</td>
 
+ <td><a href="/f23/lectures/lect09/">Next Lecture</a></td>
+
 </tr>
 </table>
 
  
-    <h1 id="code-from-lecture">Code from lecture</h1>
-<p><a href="https://github.com/ucsb-cs24-f23/cs24-f23-lectures/tree/main/lect08">https://github.com/ucsb-cs24-f23/cs24-f23-lectures/tree/main/lect08</a></p>
-
-<h1 id="topics">Topics</h1>
+    <h1 id="topics">Topics</h1>
 <ul>
-  <li>We’ll wrap up our discussion of BSTs
-    <ul>
-      <li>Remaining BST operations (predecessor, successor, delete)</li>
-    </ul>
-  </li>
-  <li>Discuss and motivate runtime analysis</li>
+  <li>Big-O formal definition and examples</li>
+  <li>Analysis of recursive fibonacci algorithm (two different ways)</li>
 </ul>
 
     </div><!-- content -->
diff --git a/_site/lectures/lect09/index.html b/_site/lectures/lect09/index.html
new file mode 100644
index 0000000..29fcaf3
--- /dev/null
+++ b/_site/lectures/lect09/index.html
@@ -0,0 +1,289 @@
+<!DOCTYPE html>
+<html lang="en">
+  <head>
+  <!-- head.html; common header items for all layouts -->
+<meta charset="utf-8">
+<meta name="viewport" content="width=device-width, initial-scale=1">
+
+
+
+<link rel="stylesheet" href="/f23/assets/css/main.css">
+  
+<script
+   src="https://code.jquery.com/jquery-3.3.1.min.js"
+   integrity="sha256-FgpCb/KJQlLNfOu91ta32o/NMZxltwRo8QtmkMRdAu8="
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+
+<link rel="stylesheet" href="https://use.fontawesome.com/releases/v5.6.3/css/all.css" integrity="sha384-UHRtZLI+pbxtHCWp1t77Bi1L4ZtiqrqD80Kn4Z8NTSRyMA2Fd33n5dQ8lWUE00s/" crossorigin="anonymous">
+
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+
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+
+<script src="https://maxcdn.bootstrapcdn.com/bootstrap/4.0.0/js/bootstrap.min.js" integrity="sha384-JZR6Spejh4U02d8jOt6vLEHfe/JQGiRRSQQxSfFWpi1MquVdAyjUar5+76PVCmYl" crossorigin="anonymous"></script>
+
+<script src="//cdnjs.cloudflare.com/ajax/libs/mousetrap/1.4.6/mousetrap.min.js"></script>
+
+
+<script src="/f23/assets/js/site.js"></script>
+
+<script>
+var nav ={
+    
+    "offerings": {
+	"title" : "F23",
+	"url" : "/",
+	"baseurl" : "/f23",
+	"items" : [
+	    
+	    {
+		"title" : "F23",
+		"url" : "/",
+		"baseurl" : "/f23",
+	    },
+	    
+	],
+    },
+    
+    
+    "offering_links": [
+	
+		{
+		    "title": "PA",		    
+		     "url": "/pa_list/", 		    
+		     "description": "Programming Assignments", 
+		    		    
+		},
+	
+		{
+		    "title": "Lab",		    
+		     "url": "/lab_list/", 		    
+		     "description": "Lab Assignments", 
+		    		    
+		},
+	
+		{
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+		     "url": "/info/calendar/", 		    
+		     "description": "Assignment Calendar", 
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+			    "title": "Info Pages",		    
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+			     "description": "List of General Information Pages", 
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+		{
+		    "title": "Links",		    
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+		    "dropdown" : [
+			
+			{
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+			    "url": "https://gauchospace.ucsb.edu", 
+			     "description": "Overall Grade Information", 
+			},
+			
+			{
+			    "title": "GradeScope",		    
+			    "url": "https://gradescope.com", 
+			     "description": "HW and Lab Grades", 
+			},
+			
+			{
+			    "title": "Piazza",		    
+			    "url": "https://piazza.com", 
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+			    "url": "https://github.com/ucsb-cs24-f23", 
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+     
+    ],
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+}
+;
+</script>
+
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+ 
+  <title> Lect09 |  CS24 Fall 2023</title>
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+  <td><a href="/f23/lectures/lect08/">Previous Lecture</a></td>
+  
+<td>lect09</td>
+
+</tr>
+</table>
+
+ 
+    <h1 id="code-from-lecture">Code from lecture</h1>
+<p><a href="https://github.com/ucsb-cs24-f23/cs24-f23-lectures/tree/main/lect09">https://github.com/ucsb-cs24-f23/cs24-f23-lectures/tree/main/lect09</a></p>
+
+<h1 id="topics">Topics</h1>
+<ul>
+  <li>Big Omega and big theta</li>
+  <li>Best case and worst case analysis of binary search</li>
+  <li>Best case and worst case analysis of BST operations</li>
+</ul>
+
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