[Verse 1] Five nodes scattered like stars on the map A through E connected with weighted paths Start at A, mark distance as zero clean Set infinity for every node unseen Build a table, track the shortest route Greedy choices, no disputes or disputes [Chorus] Pick the closest, lock it down Update neighbors all around Dijkstra's method, step by step Shortest paths with no regret Distance table tells the tale Optimal routes that never fail [Verse 2] A to B costs three, A to C costs one Choose node C, the smallest sum has won Lock C tight, it's permanent now Update D through C, six total somehow B gets cheaper through this new connection Two beats three in our inspection [Chorus] Pick the closest, lock it down Update neighbors all around Dijkstra's method, step by step Shortest paths with no regret Distance table tells the tale Optimal routes that never fail [Verse 3] B comes next at distance two Lock it solid, we're breaking through From B to D costs four more steps Six total beats our previous best E gets touched at distance five Keep the table sharp and live [Bridge] Greedy algorithm, locally smart Global optimum, mathematical art No negative edges, that's the rule Positive weights make this our tool [Verse 4] D locks in at distance six E follows at five, the final fix Every vertex visited once Shortest tree built without stunts From source A to every destination Mathematical navigation [Outro] Priority queue keeps order tight Relaxation makes distances right Dijkstra solved the shortest way Graph traversal holds the day
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