fix parentheses
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"id": "ab8e7abc",
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"id": "ab8e7abc",
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"metadata": {},
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"metadata": {},
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"source": [
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"source": [
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"In the language of graph theory, the problem is to find a [5-clique](https://en.wikipedia.org/wiki/Clique_(graph_theory)) in this graph where the sum of the vertices is minimized. [The problem of finding cliques](https://en.wikipedia.org/wiki/Clique_problem) is hard (i.e. NP-complete) in general, but we can find 5-cliques in our graph in polynomial time by simply iterating through every combination of 5 vertices in the graph and seeing if those vertices form a complete subgraph.\n",
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"In the language of graph theory, the problem is to find a [5-clique](https://w.wiki/EoNJ) in this graph where the sum of the vertices is minimized. [The problem of finding cliques](https://en.wikipedia.org/wiki/Clique_problem) is hard (i.e. NP-complete) in general, but we can find 5-cliques in our graph in polynomial time by simply iterating through every combination of 5 vertices in the graph and seeing if those vertices form a complete subgraph.\n",
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"\n",
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"\n",
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"Alternatively, SageMath includes an algorithm for finding cliques."
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"Alternatively, SageMath includes an algorithm for finding cliques."
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]
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]
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