Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Eulerian cycle | Statement: [Hamiltonian cycle, contrastedWith, Eulerian cycle]

Target entity: Eulerian cycle
Context triple: [Hamiltonian cycle, contrastedWith, Eulerian cycle]

• A. Eulerian trail chosen
  An Eulerian trail is a path in a graph that traverses every edge exactly once, possibly revisiting vertices.
• B. Hamiltonian cycle concept
  The Hamiltonian cycle concept is a fundamental idea in graph theory describing a cycle that visits each vertex of a graph exactly once and returns to the starting point.
• C. Orientzyklus
  Orientzyklus is a series of adventure novels by Karl May set in the Middle East, featuring the narrator Kara Ben Nemsi and his companion Hadschi Halef Omar.
• D. Eulerian digraph
  An Eulerian digraph is a directed graph in which every vertex has equal in-degree and out-degree, allowing for a closed trail that traverses each edge exactly once.
• E. Seven Bridges of Königsberg problem
  The Seven Bridges of Königsberg problem is a historic puzzle in graph theory that asks whether one can walk through the city of Königsberg crossing each of its seven bridges exactly once, leading Euler to found the field of topology.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.