Math Problem Statement
Solution
To solve this, let's go through the first step of the insertion sort on the list [7, 3, 5, 9, 6].
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Insertion sort starts by assuming the first element (7) is sorted, so the algorithm moves to the second element (3) and checks if it needs to be placed before 7.
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Comparing 3 and 7: Since 3 is smaller than 7, we swap them to put 3 in the correct sorted position relative to 7.
After this step, the list becomes [3, 7, 5, 9, 6].
The correct answer is therefore C. 37596.
Would you like further details or have any questions? Here are some related questions:
- What is insertion sort, and how does it work in detail?
- How many steps does it take to fully sort the list [7, 3, 5, 9, 6]?
- How does insertion sort compare to other sorting algorithms, like bubble sort?
- Can insertion sort be optimized for larger lists?
- What is the time complexity of insertion sort?
Tip: Insertion sort is generally efficient for small or nearly sorted lists.
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Math Problem Analysis
Mathematical Concepts
Sorting Algorithms
Insertion Sort
Formulas
Insertion sort step-by-step element placement
Theorems
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Suitable Grade Level
Grades 10-12
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