Restructure blogs as Astro monorepo

sites/poetry/src/content/puzzles/graph-algorithms-assessment.md

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+---
+title: "Graph Algorithms: Assessment Highlights"
+description: "Interesting graph problems from recent course assessments with detailed solutions."
+pubDate: "Feb 28 2024"
+image: "https://images.unsplash.com/photo-1550751827-4bd374c3f58b?w=400&auto=format&fit=crop&q=60"
+authorImage: "/avatar/avatar1.png"
+authorName: "Neeldhara"
+---
+
+# Graph Algorithms: Assessment Highlights
+
+A collection of graph problems that test deep understanding rather than memorization.
+
+## The Bridge Detection Variant
+
+Find all edges whose removal increases the number of triangles in the graph.
+
+### Solution Approach
+
+Counter-intuitively, we need to count triangles that share exactly one edge with the candidate. The algorithm runs in O(m√m) time using careful enumeration.
+
+## Shortest Path with Wildcards
+
+Given a graph where some edge weights are variables, find assignments that minimize the longest shortest path.
+
+### Key Insight
+
+This reduces to a linear programming problem with interesting structure. The dual interpretation reveals connections to network flow.
+
+## Teaching Through Problems
+
+These problems help students see beyond standard algorithms to underlying principles.