From bcedc2b9e9582c1c6d3230677a62920486b84847 Mon Sep 17 00:00:00 2001
From: Elijah Melton <elimelt@uw.edu>
Date: Sat, 11 Jan 2025 12:00:04 -0800
Subject: [PATCH] sync changes: - M  "site/categories/algorithm analysis.html"

- M  site/categories/algorithms.html

- M  "site/categories/computer science.html"
---
 site/categories/algorithm analysis.html       |   2 +-
 site/categories/algorithms.html               |   2 +-
 site/categories/computer science.html         |   2 +-
 site/categories/database design.html          |   2 +-
 site/categories/database systems.html         |   2 +-
 site/categories/distributed systems.html      |   2 +-
 site/categories/graph theory.html             |   2 +-
 site/categories/index.html                    |   2 +-
 site/categories/mathematics.html              |   2 +-
 site/categories/operations research.html      |   2 +-
 site/categories/software engineering.html     |   2 +-
 site/index.html                               |   4 +-
 site/natural-language-processing/tf-idf.py    | 128 ++++++++++++++++++
 .../hints-for-computer-system-design.html     |   2 +-
 site/tags/acyclic graphs.html                 |   2 +-
 site/tags/algorithm-analysis.html             |   2 +-
 site/tags/algorithm.html                      |   2 +-
 site/tags/algorithms.html                     |   2 +-
 site/tags/approximation.html                  |   2 +-
 site/tags/asymptotic notation.html            |   2 +-
 site/tags/batch processing.html               |   2 +-
 site/tags/bipartite graphs.html               |   2 +-
 site/tags/bipartite matching.html             |   2 +-
 site/tags/breadth-first search.html           |   2 +-
 site/tags/column-oriented storage.html        |   2 +-
 site/tags/compatibility.html                  |   2 +-
 site/tags/complexity analysis.html            |   2 +-
 site/tags/complexity-analysis.html            |   2 +-
 site/tags/connected components.html           |   2 +-
 site/tags/connected graphs.html               |   2 +-
 site/tags/data analysis.html                  |   2 +-
 site/tags/data modeling.html                  |   2 +-
 site/tags/data replication.html               |   2 +-
 site/tags/data serialization.html             |   2 +-
 site/tags/data structures.html                |   2 +-
 site/tags/data systems.html                   |   2 +-
 site/tags/depth first search.html             |   2 +-
 site/tags/depth-first search.html             |   2 +-
 site/tags/distributed filesystems.html        |   2 +-
 site/tags/document databases.html             |   2 +-
 site/tags/dynamic-programming.html            |   2 +-
 site/tags/efficiency.html                     |   2 +-
 site/tags/encoding formats.html               |   2 +-
 site/tags/etl.html                            |   2 +-
 site/tags/failover.html                       |   2 +-
 site/tags/ford-fulkerson algorithm.html       |   2 +-
 site/tags/gale-shapley.html                   |   2 +-
 site/tags/graph coloring.html                 |   2 +-
 site/tags/graph databases.html                |   2 +-
 site/tags/graph fundamentals.html             |   2 +-
 site/tags/graph properties.html               |   2 +-
 site/tags/graph representation.html           |   2 +-
 site/tags/graph theory.html                   |   2 +-
 site/tags/graph traversal.html                |   2 +-
 site/tags/graph-theory.html                   |   2 +-
 site/tags/graph-traversal.html                |   2 +-
 site/tags/graph.html                          |   2 +-
 site/tags/greedy-algorithms.html              |   2 +-
 site/tags/independent set.html                |   2 +-
 site/tags/index.html                          |   2 +-
 site/tags/indexing.html                       |   2 +-
 site/tags/induction proofs.html               |   2 +-
 site/tags/induction.html                      |   2 +-
 site/tags/interval.html                       |   2 +-
 site/tags/leader-follower model.html          |   2 +-
 site/tags/linear programs.html                |   2 +-
 site/tags/linear systems.html                 |   2 +-
 site/tags/maintainability.html                |   2 +-
 site/tags/mapreduce.html                      |   2 +-
 site/tags/matching.html                       |   2 +-
 site/tags/max flow min cut.html               |   2 +-
 site/tags/message passing.html                |   2 +-
 site/tags/odd cycles.html                     |   2 +-
 site/tags/oltp vs olap.html                   |   2 +-
 site/tags/optimization.html                   |   2 +-
 site/tags/partitioning.html                   |   2 +-
 site/tags/performance.html                    |   2 +-
 site/tags/pigeonhole principle.html           |   2 +-
 site/tags/problem-solving.html                |   2 +-
 site/tags/proof techniques.html               |   2 +-
 site/tags/query languages.html                |   2 +-
 site/tags/relational databases.html           |   2 +-
 site/tags/reliability.html                    |   2 +-
 site/tags/replication logs.html               |   2 +-
 site/tags/scalability.html                    |   2 +-
 site/tags/scheduling.html                     |   2 +-
 site/tags/schema evolution.html               |   2 +-
 site/tags/set cover.html                      |   2 +-
 site/tags/shortest-paths.html                 |   2 +-
 site/tags/spanning trees.html                 |   2 +-
 site/tags/stable matching.html                |   2 +-
 site/tags/synchronous vs asynchronous.html    |   2 +-
 site/tags/time complexity.html                |   2 +-
 site/tags/trees.html                          |   2 +-
 site/tags/vertex cover.html                   |   2 +-
 95 files changed, 223 insertions(+), 95 deletions(-)
 create mode 100644 site/natural-language-processing/tf-idf.py

diff --git a/site/categories/algorithm analysis.html b/site/categories/algorithm analysis.html
index 40c47e4..1da37f2 100644
--- a/site/categories/algorithm analysis.html	
+++ b/site/categories/algorithm analysis.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Algorithm Analysis</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/algorithms.html b/site/categories/algorithms.html
index bbb7cf3..b899499 100644
--- a/site/categories/algorithms.html
+++ b/site/categories/algorithms.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: algorithms</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/computer science.html b/site/categories/computer science.html
index bc43d4d..56db629 100644
--- a/site/categories/computer science.html	
+++ b/site/categories/computer science.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Computer Science</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/database design.html b/site/categories/database design.html
index 991d3e6..95ae8e6 100644
--- a/site/categories/database design.html	
+++ b/site/categories/database design.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Database Design</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/database systems.html b/site/categories/database systems.html
index b1f0115..3802416 100644
--- a/site/categories/database systems.html	
+++ b/site/categories/database systems.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Database Systems</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/distributed systems.html b/site/categories/distributed systems.html
index 23e10b9..6fc1fe1 100644
--- a/site/categories/distributed systems.html	
+++ b/site/categories/distributed systems.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Distributed Systems</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/graph theory.html b/site/categories/graph theory.html
index c742f64..3fff04a 100644
--- a/site/categories/graph theory.html	
+++ b/site/categories/graph theory.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Graph Theory</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/index.html b/site/categories/index.html
index c9f7e62..85296b4 100644
--- a/site/categories/index.html
+++ b/site/categories/index.html
@@ -178,7 +178,7 @@
         </div>
         <h1>Categories</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/mathematics.html b/site/categories/mathematics.html
index 8db02f6..03ccf47 100644
--- a/site/categories/mathematics.html
+++ b/site/categories/mathematics.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Mathematics</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/operations research.html b/site/categories/operations research.html
index 7417498..edc9d74 100644
--- a/site/categories/operations research.html	
+++ b/site/categories/operations research.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Operations Research</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/categories/software engineering.html b/site/categories/software engineering.html
index 7ed47a1..bb0eb63 100644
--- a/site/categories/software engineering.html	
+++ b/site/categories/software engineering.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Category: Software Engineering</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/index.html b/site/index.html
index b2e5d24..9251074 100644
--- a/site/index.html
+++ b/site/index.html
@@ -178,7 +178,7 @@
         </div>
         <h1>My Notes</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
@@ -203,7 +203,7 @@ <h2>Recent Notes</h2>
 <ul class='recent-posts'>
                 <li>
                     <a href="/systems-research/hints-for-computer-system-design.html">Hints For Computer System Design</a>
-                    <span class="date">2025-01-08</span>
+                    <span class="date">2025-01-09</span>
                     
                 </li>
                 <li>
diff --git a/site/natural-language-processing/tf-idf.py b/site/natural-language-processing/tf-idf.py
new file mode 100644
index 0000000..b1574be
--- /dev/null
+++ b/site/natural-language-processing/tf-idf.py
@@ -0,0 +1,128 @@
+import numpy as np
+import os
+from typing import Dict, List, Tuple
+
+
+def read_markdown_files(root_dir: str, max_depth: int = 8) -> Dict[str, str]:
+
+    corpus = {}
+
+    def process_dir(path: str, depth: int = 0):
+        if depth > max_depth:
+            return
+
+        try:
+            for entry in os.listdir(path):
+                full_path = os.path.join(path, entry)
+                if os.path.isdir(full_path):
+                    process_dir(full_path, depth + 1)
+                elif entry.endswith(".md"):
+                    try:
+                        with open(full_path, "r") as f:
+                            corpus[full_path] = f.read()
+                    except Exception:
+                        continue
+        except Exception:
+            return
+
+    process_dir(root_dir)
+    return corpus
+
+
+def create_index(corpus: Dict[str, str]) -> Tuple[Dict[str, Dict[str, int]], List[str]]:
+
+    inv_idx = {}
+    for doc_name, content in corpus.items():
+        words = content.split()
+        for word in words:
+            if word not in inv_idx:
+                inv_idx[word] = {}
+            inv_idx[word][doc_name] = inv_idx[word].get(doc_name, 0) + 1
+
+    return inv_idx, list(inv_idx.keys())
+
+
+def calculate_tfidf(
+    corpus: Dict[str, str], inv_idx: Dict[str, Dict[str, int]], word_list: List[str]
+) -> Dict[str, np.ndarray]:
+
+    N = len(corpus)
+    tfidf = {}
+
+    for doc_name, content in corpus.items():
+        doc_words = content.split()
+        doc_len = len(doc_words)
+        tfidf[doc_name] = np.zeros(len(word_list))
+
+        for i, word in enumerate(word_list):
+            if word in inv_idx and doc_name in inv_idx[word]:
+                tf = inv_idx[word][doc_name] / doc_len
+                idf = np.log(N / len(inv_idx[word]))
+                tfidf[doc_name][i] = tf * idf
+
+    return tfidf
+
+
+def search(
+    query: str,
+    tfidf: Dict[str, np.ndarray],
+    word_list: List[str],
+    inv_idx: Dict[str, Dict[str, int]],
+    num_results: int = 5,
+) -> List[Tuple[str, float]]:
+
+    N = len(tfidf)
+    query_vec = np.zeros(len(word_list))
+
+    for i, word in enumerate(word_list):
+        if word in query.split() and word in inv_idx:
+            query_vec[i] = np.log(N / len(inv_idx[word]))
+
+    similarities = [
+        (doc_name, float(np.dot(doc_vec, query_vec)))
+        for doc_name, doc_vec in tfidf.items()
+    ]
+
+    return sorted(similarities, key=lambda x: x[1], reverse=True)[:num_results]
+
+
+def main():
+
+    try:
+        root_dir = (
+            input("Enter root directory to search (default '.'): ").strip() or "."
+        )
+        print(f"Reading markdown files from {root_dir}...")
+
+        corpus = read_markdown_files(root_dir)
+        if not corpus:
+            print("No markdown files found!")
+            return
+
+        print(f"Found {len(corpus)} markdown files")
+        print("Building search index...")
+
+        inv_idx, word_list = create_index(corpus)
+        tfidf = calculate_tfidf(corpus, inv_idx, word_list)
+
+        print("Search system ready!")
+
+        while True:
+            query = input('\nEnter search query (or "exit" to quit): ').strip()
+            if query.lower() == "exit":
+                break
+
+            results = search(query, tfidf, word_list, inv_idx)
+
+            print("\nSearch results:")
+            for doc_name, similarity in results:
+                print(f"{doc_name}: {similarity:.4f}")
+
+    except KeyboardInterrupt:
+        print("\nExiting...")
+    except Exception as e:
+        print(f"\nError: {str(e)}")
+
+
+if __name__ == "__main__":
+    main()
diff --git a/site/systems-research/hints-for-computer-system-design.html b/site/systems-research/hints-for-computer-system-design.html
index f567aac..6960c4d 100644
--- a/site/systems-research/hints-for-computer-system-design.html
+++ b/site/systems-research/hints-for-computer-system-design.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Hints For Computer System Design</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-09</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/acyclic graphs.html b/site/tags/acyclic graphs.html
index c17e3ed..0a74f7c 100644
--- a/site/tags/acyclic graphs.html	
+++ b/site/tags/acyclic graphs.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: acyclic graphs</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/algorithm-analysis.html b/site/tags/algorithm-analysis.html
index a784ff4..acd5369 100644
--- a/site/tags/algorithm-analysis.html
+++ b/site/tags/algorithm-analysis.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: algorithm-analysis</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/algorithm.html b/site/tags/algorithm.html
index f0d26d7..29bff98 100644
--- a/site/tags/algorithm.html
+++ b/site/tags/algorithm.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: algorithm</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/algorithms.html b/site/tags/algorithms.html
index 8280220..ab075fe 100644
--- a/site/tags/algorithms.html
+++ b/site/tags/algorithms.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: algorithms</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/approximation.html b/site/tags/approximation.html
index e602350..3817792 100644
--- a/site/tags/approximation.html
+++ b/site/tags/approximation.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: approximation</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/asymptotic notation.html b/site/tags/asymptotic notation.html
index 971e5c5..cbdb4e4 100644
--- a/site/tags/asymptotic notation.html	
+++ b/site/tags/asymptotic notation.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: asymptotic notation</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/batch processing.html b/site/tags/batch processing.html
index efa5ca7..552b7d2 100644
--- a/site/tags/batch processing.html	
+++ b/site/tags/batch processing.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: batch processing</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/bipartite graphs.html b/site/tags/bipartite graphs.html
index 3814803..7dcfce4 100644
--- a/site/tags/bipartite graphs.html	
+++ b/site/tags/bipartite graphs.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: bipartite graphs</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/bipartite matching.html b/site/tags/bipartite matching.html
index 89cea9d..55a02b3 100644
--- a/site/tags/bipartite matching.html	
+++ b/site/tags/bipartite matching.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: bipartite matching</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/breadth-first search.html b/site/tags/breadth-first search.html
index 6fb7008..900dce9 100644
--- a/site/tags/breadth-first search.html	
+++ b/site/tags/breadth-first search.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: breadth-first search</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/column-oriented storage.html b/site/tags/column-oriented storage.html
index 501c107..0bdfece 100644
--- a/site/tags/column-oriented storage.html	
+++ b/site/tags/column-oriented storage.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: column-oriented storage</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/compatibility.html b/site/tags/compatibility.html
index 29967b8..541669b 100644
--- a/site/tags/compatibility.html
+++ b/site/tags/compatibility.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: compatibility</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/complexity analysis.html b/site/tags/complexity analysis.html
index 254717d..58758c5 100644
--- a/site/tags/complexity analysis.html	
+++ b/site/tags/complexity analysis.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: complexity analysis</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/complexity-analysis.html b/site/tags/complexity-analysis.html
index 13eb988..e8b11a9 100644
--- a/site/tags/complexity-analysis.html
+++ b/site/tags/complexity-analysis.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: complexity-analysis</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/connected components.html b/site/tags/connected components.html
index 4162493..6223f3a 100644
--- a/site/tags/connected components.html	
+++ b/site/tags/connected components.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: connected components</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/connected graphs.html b/site/tags/connected graphs.html
index fe6331e..30ca7c2 100644
--- a/site/tags/connected graphs.html	
+++ b/site/tags/connected graphs.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: connected graphs</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/data analysis.html b/site/tags/data analysis.html
index 4fb2f9e..4bcc854 100644
--- a/site/tags/data analysis.html	
+++ b/site/tags/data analysis.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: data analysis</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/data modeling.html b/site/tags/data modeling.html
index 32bf049..2987ac5 100644
--- a/site/tags/data modeling.html	
+++ b/site/tags/data modeling.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: data modeling</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/data replication.html b/site/tags/data replication.html
index fdaa895..4688731 100644
--- a/site/tags/data replication.html	
+++ b/site/tags/data replication.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: data replication</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/data serialization.html b/site/tags/data serialization.html
index eb8f93e..c09afeb 100644
--- a/site/tags/data serialization.html	
+++ b/site/tags/data serialization.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: data serialization</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/data structures.html b/site/tags/data structures.html
index a13c0f3..6e30d90 100644
--- a/site/tags/data structures.html	
+++ b/site/tags/data structures.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: data structures</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/data systems.html b/site/tags/data systems.html
index b07fcaf..3c7df1d 100644
--- a/site/tags/data systems.html	
+++ b/site/tags/data systems.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: data systems</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/depth first search.html b/site/tags/depth first search.html
index df8bd9c..92af474 100644
--- a/site/tags/depth first search.html	
+++ b/site/tags/depth first search.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: depth first search</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/depth-first search.html b/site/tags/depth-first search.html
index 012866c..2efa47e 100644
--- a/site/tags/depth-first search.html	
+++ b/site/tags/depth-first search.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: depth-first search</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/distributed filesystems.html b/site/tags/distributed filesystems.html
index 0dda1fd..709b258 100644
--- a/site/tags/distributed filesystems.html	
+++ b/site/tags/distributed filesystems.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: distributed filesystems</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/document databases.html b/site/tags/document databases.html
index dc307b9..35484cf 100644
--- a/site/tags/document databases.html	
+++ b/site/tags/document databases.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: document databases</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/dynamic-programming.html b/site/tags/dynamic-programming.html
index 521f8f7..099d6f1 100644
--- a/site/tags/dynamic-programming.html
+++ b/site/tags/dynamic-programming.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: dynamic-programming</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/efficiency.html b/site/tags/efficiency.html
index c91f40b..9a3f360 100644
--- a/site/tags/efficiency.html
+++ b/site/tags/efficiency.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: efficiency</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/encoding formats.html b/site/tags/encoding formats.html
index ee5fd36..48196d7 100644
--- a/site/tags/encoding formats.html	
+++ b/site/tags/encoding formats.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: encoding formats</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/etl.html b/site/tags/etl.html
index ab9a663..00e419f 100644
--- a/site/tags/etl.html
+++ b/site/tags/etl.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: etl</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/failover.html b/site/tags/failover.html
index 9c92759..6903399 100644
--- a/site/tags/failover.html
+++ b/site/tags/failover.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: failover</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/ford-fulkerson algorithm.html b/site/tags/ford-fulkerson algorithm.html
index adff8b3..5ca6edf 100644
--- a/site/tags/ford-fulkerson algorithm.html	
+++ b/site/tags/ford-fulkerson algorithm.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: ford-fulkerson algorithm</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/gale-shapley.html b/site/tags/gale-shapley.html
index 136a60f..b41cebf 100644
--- a/site/tags/gale-shapley.html
+++ b/site/tags/gale-shapley.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: gale-shapley</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph coloring.html b/site/tags/graph coloring.html
index 35e41e7..385e9cf 100644
--- a/site/tags/graph coloring.html	
+++ b/site/tags/graph coloring.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph coloring</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph databases.html b/site/tags/graph databases.html
index 3bba10b..9c9af4d 100644
--- a/site/tags/graph databases.html	
+++ b/site/tags/graph databases.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph databases</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph fundamentals.html b/site/tags/graph fundamentals.html
index f74ece7..e4de3c2 100644
--- a/site/tags/graph fundamentals.html	
+++ b/site/tags/graph fundamentals.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph fundamentals</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph properties.html b/site/tags/graph properties.html
index 71b85ea..e92776d 100644
--- a/site/tags/graph properties.html	
+++ b/site/tags/graph properties.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph properties</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph representation.html b/site/tags/graph representation.html
index 0ac5a23..62395e6 100644
--- a/site/tags/graph representation.html	
+++ b/site/tags/graph representation.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph representation</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph theory.html b/site/tags/graph theory.html
index 28b8059..295773a 100644
--- a/site/tags/graph theory.html	
+++ b/site/tags/graph theory.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph theory</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph traversal.html b/site/tags/graph traversal.html
index 3928efa..a1bff0e 100644
--- a/site/tags/graph traversal.html	
+++ b/site/tags/graph traversal.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph traversal</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph-theory.html b/site/tags/graph-theory.html
index 94a3627..8b4c357 100644
--- a/site/tags/graph-theory.html
+++ b/site/tags/graph-theory.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph-theory</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph-traversal.html b/site/tags/graph-traversal.html
index d68e5dc..ed7a475 100644
--- a/site/tags/graph-traversal.html
+++ b/site/tags/graph-traversal.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph-traversal</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/graph.html b/site/tags/graph.html
index 028a2cd..ade91fe 100644
--- a/site/tags/graph.html
+++ b/site/tags/graph.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: graph</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/greedy-algorithms.html b/site/tags/greedy-algorithms.html
index 759e947..3ae3147 100644
--- a/site/tags/greedy-algorithms.html
+++ b/site/tags/greedy-algorithms.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: greedy-algorithms</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/independent set.html b/site/tags/independent set.html
index 8a1b5c1..1d26858 100644
--- a/site/tags/independent set.html	
+++ b/site/tags/independent set.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: independent set</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/index.html b/site/tags/index.html
index b62054a..b5b0e0e 100644
--- a/site/tags/index.html
+++ b/site/tags/index.html
@@ -178,7 +178,7 @@
         </div>
         <h1>Tags</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/indexing.html b/site/tags/indexing.html
index 69e76a7..24952cf 100644
--- a/site/tags/indexing.html
+++ b/site/tags/indexing.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: indexing</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/induction proofs.html b/site/tags/induction proofs.html
index 64e8b22..10c92f8 100644
--- a/site/tags/induction proofs.html	
+++ b/site/tags/induction proofs.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: induction proofs</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/induction.html b/site/tags/induction.html
index 2805430..4fc76aa 100644
--- a/site/tags/induction.html
+++ b/site/tags/induction.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: induction</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/interval.html b/site/tags/interval.html
index b30d148..f715b8a 100644
--- a/site/tags/interval.html
+++ b/site/tags/interval.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: interval</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/leader-follower model.html b/site/tags/leader-follower model.html
index 64d980a..83dd3e9 100644
--- a/site/tags/leader-follower model.html	
+++ b/site/tags/leader-follower model.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: leader-follower model</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/linear programs.html b/site/tags/linear programs.html
index 760fd54..d787524 100644
--- a/site/tags/linear programs.html	
+++ b/site/tags/linear programs.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: linear programs</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/linear systems.html b/site/tags/linear systems.html
index 3f40a11..3a72c5f 100644
--- a/site/tags/linear systems.html	
+++ b/site/tags/linear systems.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: linear systems</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/maintainability.html b/site/tags/maintainability.html
index 487949d..7fd5843 100644
--- a/site/tags/maintainability.html
+++ b/site/tags/maintainability.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: maintainability</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/mapreduce.html b/site/tags/mapreduce.html
index b5361d1..6c9d958 100644
--- a/site/tags/mapreduce.html
+++ b/site/tags/mapreduce.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: mapreduce</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/matching.html b/site/tags/matching.html
index 78d24de..a80acf0 100644
--- a/site/tags/matching.html
+++ b/site/tags/matching.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: matching</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/max flow min cut.html b/site/tags/max flow min cut.html
index 955869c..6bf7fca 100644
--- a/site/tags/max flow min cut.html	
+++ b/site/tags/max flow min cut.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: max flow min cut</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/message passing.html b/site/tags/message passing.html
index 886ca87..c29490a 100644
--- a/site/tags/message passing.html	
+++ b/site/tags/message passing.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: message passing</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/odd cycles.html b/site/tags/odd cycles.html
index b1d58b2..f2e3ab9 100644
--- a/site/tags/odd cycles.html	
+++ b/site/tags/odd cycles.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: odd cycles</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/oltp vs olap.html b/site/tags/oltp vs olap.html
index a7642cb..50b71a5 100644
--- a/site/tags/oltp vs olap.html	
+++ b/site/tags/oltp vs olap.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: oltp vs olap</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/optimization.html b/site/tags/optimization.html
index 8bdacc7..a6f3e77 100644
--- a/site/tags/optimization.html
+++ b/site/tags/optimization.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: optimization</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/partitioning.html b/site/tags/partitioning.html
index c945769..92c5f5d 100644
--- a/site/tags/partitioning.html
+++ b/site/tags/partitioning.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: partitioning</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/performance.html b/site/tags/performance.html
index 09e7337..b83b82f 100644
--- a/site/tags/performance.html
+++ b/site/tags/performance.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: performance</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/pigeonhole principle.html b/site/tags/pigeonhole principle.html
index aaf4b05..e050a18 100644
--- a/site/tags/pigeonhole principle.html	
+++ b/site/tags/pigeonhole principle.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: pigeonhole principle</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/problem-solving.html b/site/tags/problem-solving.html
index 2a3152f..f0c3560 100644
--- a/site/tags/problem-solving.html
+++ b/site/tags/problem-solving.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: problem-solving</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/proof techniques.html b/site/tags/proof techniques.html
index a1d1f54..81ed48d 100644
--- a/site/tags/proof techniques.html	
+++ b/site/tags/proof techniques.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: proof techniques</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/query languages.html b/site/tags/query languages.html
index 77a06ae..fc4ac9d 100644
--- a/site/tags/query languages.html	
+++ b/site/tags/query languages.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: query languages</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/relational databases.html b/site/tags/relational databases.html
index bce4981..b095677 100644
--- a/site/tags/relational databases.html	
+++ b/site/tags/relational databases.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: relational databases</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/reliability.html b/site/tags/reliability.html
index 7757654..97558fa 100644
--- a/site/tags/reliability.html
+++ b/site/tags/reliability.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: reliability</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/replication logs.html b/site/tags/replication logs.html
index 4bee5a8..40ca92f 100644
--- a/site/tags/replication logs.html	
+++ b/site/tags/replication logs.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: replication logs</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/scalability.html b/site/tags/scalability.html
index 41decc7..552678b 100644
--- a/site/tags/scalability.html
+++ b/site/tags/scalability.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: scalability</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/scheduling.html b/site/tags/scheduling.html
index 033ec2e..24f65bf 100644
--- a/site/tags/scheduling.html
+++ b/site/tags/scheduling.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: scheduling</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/schema evolution.html b/site/tags/schema evolution.html
index 6d19580..30e03d1 100644
--- a/site/tags/schema evolution.html	
+++ b/site/tags/schema evolution.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: schema evolution</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/set cover.html b/site/tags/set cover.html
index a9da9f4..aa11c62 100644
--- a/site/tags/set cover.html	
+++ b/site/tags/set cover.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: set cover</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/shortest-paths.html b/site/tags/shortest-paths.html
index d5f8ef5..5cabb4d 100644
--- a/site/tags/shortest-paths.html
+++ b/site/tags/shortest-paths.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: shortest-paths</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/spanning trees.html b/site/tags/spanning trees.html
index 1da22a9..a56e35a 100644
--- a/site/tags/spanning trees.html	
+++ b/site/tags/spanning trees.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: spanning trees</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/stable matching.html b/site/tags/stable matching.html
index ffc8a8e..611c408 100644
--- a/site/tags/stable matching.html	
+++ b/site/tags/stable matching.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: stable matching</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/synchronous vs asynchronous.html b/site/tags/synchronous vs asynchronous.html
index f7e5ddf..0a52201 100644
--- a/site/tags/synchronous vs asynchronous.html	
+++ b/site/tags/synchronous vs asynchronous.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: synchronous vs asynchronous</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/time complexity.html b/site/tags/time complexity.html
index b1d1b67..353e1dc 100644
--- a/site/tags/time complexity.html	
+++ b/site/tags/time complexity.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: time complexity</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/trees.html b/site/tags/trees.html
index f0e18d6..937a2b2 100644
--- a/site/tags/trees.html
+++ b/site/tags/trees.html
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: trees</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">
diff --git a/site/tags/vertex cover.html b/site/tags/vertex cover.html
index 2e73e37..af4e245 100644
--- a/site/tags/vertex cover.html	
+++ b/site/tags/vertex cover.html	
@@ -179,7 +179,7 @@
         </div>
         <h1>Tag: vertex cover</h1>
         <div class="meta">
-            <span>Last modified: 2025-01-08</span>
+            <span>Last modified: 2025-01-11</span>
             
         </div>
         <div class="content">