HMMT 2008 C4
- Combinatorics
- Answer
Kermit the frog enjoys hopping around the infinite square grid in his backyard. It takes him 1 Joule of energy to hop one step north or one step south, and 1 Joule of energy to hop one step east or one step west. He wakes up one morning on the grid with 100 Joules of energy, and hops till he falls asleep with 0 energy. How many different places could he have gone to sleep?
Dataset text NuminaMath olympiads. Quoted with source.
Also HMMT 2008 F5.
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10201
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