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Meeting Time

USACO · 2015 · January · bronze-4

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graph-algorithms · path-enumeration

The organizer’s problem statement is available at the official source link.

sample trace

Meeting Time: compare possible routes

The sample has two possible routes to field 3. Enumerating the route choices reveals that both cows can arrive after 2 time units.

  1. 1

    Build the route graph

    Fields are vertices; each edge stores Bessie?s and Elsie?s separate travel times.
  2. 2

    Enumerate paths

    The Bronze solution explores each downward route and records the arrival times each cow can achieve.
  3. 3

    Match times

    Bessie?s route 1-2-3 takes 2; Elsie?s direct route 1-3 also takes 2, the earliest common arrival.
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