Find a solution to arrange the given numbers as follows using Top down design approach?Input: 55,32,6,12,78,105,20, 95,80Output:1 Split: 55 78 105 95 802 Split: 32,6,12,20Repeat until sorting all numbersFinal output: 6,12,20,32,55,78,80,95,105
Question
Find a solution to arrange the given numbers as follows using Top down design approach?Input: 55,32,6,12,78,105,20, 95,80Output:1 Split: 55 78 105 95 802 Split: 32,6,12,20Repeat until sorting all numbersFinal output: 6,12,20,32,55,78,80,95,105
Solution
The problem is about sorting a list of numbers in ascending order. Here is a step-by-step solution using the Top-down design approach:
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Identify the main problem: The main problem is to sort a list of numbers in ascending order.
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Break down the main problem into sub-problems: The main problem can be broken down into two sub-problems: a. Split the list into two halves. b. Sort each half of the list.
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Solve each sub-problem: a. Split the list into two halves: The given list is [55,32,6,12,78,105,20,95,80]. We can split it into two halves like this: [55,78,105,95,80] and [32,6,12,20]. b. Sort each half of the list: We can sort each half of the list using any sorting algorithm, like the bubble sort, selection sort, or insertion sort. After sorting, the two halves will look like this: [55,78,80,95,105] and [6,12,20,32].
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Combine the solutions of the sub-problems to solve the main problem: Now, we can combine the two sorted halves to get the final sorted list: [6,12,20,32,55,78,80,95,105].
This is the final output. The given list of numbers has been sorted in ascending order using the Top-down design approach.
Similar Questions
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