Question

Computer Science

Posted 3 months ago

```
Write a MATLAB program in a script file that finds a positive integer n such that the sum of all the integers 1+2+3+cdots+n is a number between 100 and 1000 whose three digits are identical. As output, the program displays the integer
n and the corresponding sum.
```

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Answer from Sia

Posted 3 months ago

matlab

Explanation

The MATLAB script initializes the sum and the integer n. It then enters a loop where it increments n and updates the sum of integers from 1 to n. The loop continues until the sum is within the specified range and has three identical digits. If the sum exceeds 1000, it displays a message that no such n exists within the range.

Step-by-step Instruction

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Start a loop that will run indefinitely until the condition is met or exceeded

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Increment n by 1 in each iteration of the loop

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Update the sum by adding the new value of n

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Check if the sum is within the specified range [100, 1000]

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Convert the sum to a string to check if all digits are identical

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If the digits are identical, display n and the sum and break the loop

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If the sum exceeds 1000, display a message that no such n exists and break the loop

Time Complexity

The time complexity is O(n) because the loop runs until n is found or the sum exceeds 1000. The number of iterations depends on the value of n that satisfies the condition.

Space Complexity

The space complexity is O(1) as the script uses a fixed amount of space for the variables sum_of_integers, n, and sum_str regardless of the input size.

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