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2018 Math Kangaroo

Problem 2

Problem 2 · 2018 Math Kangaroo Medium
Spatial & Visual Reasoning path-tracing

The rings shown are partially interlinked. How long is the longest chain built this way which also contains the thick light ring?

Figure for Math Kangaroo 2018 Problem 2
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Answer: C — 5
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Hint 1 of 2
A chain is a run of rings where each one is linked to the next.
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Hint 2 of 2
Start from the thick light ring and follow the links as far as they continue in each direction.
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Approach: trace the longest connected run of rings through the light ring
  1. Two rings belong to the same chain only when they are actually interlinked.
  2. Beginning at the thick light ring, follow the interlinked rings outward in both directions.
  3. The longest such run that includes the light ring contains 5 rings.
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