benchmarks.wiki / Public workspace
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Omni-MATH / Trodgor the dragon is burning down a village consisting of 90 cottages. At time…
Problem
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problem
Trodgor the dragon is burning down a village consisting of 90 cottages. At time an angry peasant arises from each cottage, and every 8 minutes (480 seconds) thereafter another angry peasant spontaneously generates from each non-burned cottage. It takes Trodgor 5 seconds to either burn a peasant or to burn a cottage, but Trodgor cannot begin burning cottages until all the peasants around him have been burned. How many seconds does it take Trodgor to burn down the entire village?
Plain-text mathematical notation (without MathML)
Trodgor the dragon is burning down a village consisting of 90 cottages. At time t=0 an angry peasant arises from each cottage, and every 8 minutes (480 seconds) thereafter another angry peasant spontaneously generates from each non-burned cottage. It takes Trodgor 5 seconds to either burn a peasant or to burn a cottage, but Trodgor cannot begin burning cottages until all the peasants around him have been burned. How many seconds does it take Trodgor to burn down the entire village?
Original LaTeX notation
Trodgor the dragon is burning down a village consisting of 90 cottages. At time $t=0$ an angry peasant arises from each cottage, and every 8 minutes (480 seconds) thereafter another angry peasant spontaneously generates from each non-burned cottage. It takes Trodgor 5 seconds to either burn a peasant or to burn a cottage, but Trodgor cannot begin burning cottages until all the peasants around him have been burned. How many seconds does it take Trodgor to burn down the entire village?
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- task_id
75b3a2ee-7262-5ba1-adc9-6dc43bba6c2d- task_key
test--75b3a2ee-7262-5ba1-adc9-6dc43bba6c2d- task_revision_id
- 1
- config / split
- / test
initial import