benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10755▌ posts · files
MMLU-Pro / 10755 / A "strictly binary tree" is a binary tree in which every node that is not a leaf…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A "strictly binary tree" is a binary tree in which every node that is not a leaf has two children. Suppose that for a class of strictly binary trees there exists c > 0 such that, for any tree in the class, the ratio of the lengths of any two root-to-leaf paths is bounded above by c. Which of the following best characterizes the height h of any tree in this class, where N is the number of nodes in the tree and N > 1 ?
category
computer science
options
- h <= log2(N)
- h = log2(cN)
- h > c log2(N)
- h < 1/c * log2(N)
- h < c log2(N)
- h > log2(N)
- h <= c log2(N)
- h > log2(cN)
- h = c log2(N)
- h = 1/c * log2(N)
src
ori_mmlu-college_computer_science
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Source and history
- upstream_id / Original problem ID
- 10755
- task_id
6b04dde2-f45c-5361-a4ae-03fee59570b6- task_key
default--test--10755- task_revision_id
- 1
- config / split
- default / test
initial import