Final answer:
After examining the options, none of the tasks listed has an exponential Big O runtime complexity. Tasks like finding duplicates or the largest value have quadratic or linear complexities, while determining if a number is even and searching a dictionary are constant or logarithmic, respectively.
Step-by-step explanation:
The question asked is about identifying which of the given options would have an exponential Big O runtime complexity. Comparing the given choices:
- Finding all duplicates in a list generally requires checking each element against every other, which usually results in quadratic time complexity, or O(n²), not exponential.
- Determining if a binary number is even or odd can be done by examining its last digit only, which has a constant time complexity, or O(1).
- Finding the largest value in an unsorted list requires a single pass through all elements, leading to a linear time complexity, or O(n).
- Efficiently finding the definition of a given word in a dictionary is often implemented using a search algorithm like binary search, which has a logarithmic time complexity, or O(log n).
Therefore, none of these options have an exponential time complexity.