She sings through geometry, a quirky cadence, solving the five-point path with the segment lengths √10, 5, √10, √10 in order. No labels? No problem. She dances between algebra and geometry, invoking Pythagoras like a pop refrain, squaring to match 10 or 25 and stepping to coordinates. Permutations were auditioned, eliminated, and the single correct path emerged, flawless. Her spatial reasoning is crisp, computations accurate, strategy explicit. This thirteen-year-old delivered an exemplary ACARA v9 outcome, confident, ingenious, theatrical - proof that logical rigor and creative flair can harmonize into a beautiful, correct solution. Bravo, bravo; learning as performance art, truly. Well done.