Data structure and algorithms time computation?

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SUMMARY

The discussion centers on the time complexity analysis of a given set of instructions for a search algorithm. The worst-case total time is expressed as An + B, where A = C2 + C3 + C4 + C5 and B = C1 + C2 + C6, with Ci representing constants for each line of code. A critical correction was identified, changing the condition from "i < n" to "i >= n" to ensure proper functionality. The analysis also highlights the implications of setting n to 1 during execution.

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mohamed el teir
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Moved from a technical forum, so homework template missing.
Assume the following set of instructions:

1. i = 0
2. if i < n, goto line 6
3. if A [ i ] = = x, goto line 7
4. i++
5. goto line 2
6. return false
7. return true

Assume that line i take Ci time, where Ci is a constant. The worst case total time of running this block of code can be calculated as: C1 + (n+1)C2 + nC3 + nC4 + nC5 + C6 = (C2 + C3 + C4 + C5)n + (C1 + C2 + C6) = An + B, where A = C2 + C3 + C4 + C5 and B = C1 + C2 + C6 are both constants.

is this right ?
 
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If n is 1 what will happen the first time line 2 is executed? Fix this so it works as intended and the rest of the answer is OK.

Please use a homework forum and template for homework or similar questions.
 
sorry it is supposed to be i >= n not i < n, regarding the homework thing : i didn't get this topic from college but from this site https://www.cpp.edu/~ftang/courses/CS240/lectures/analysis.htm while i was reading about algorithms. i saw that somethings in it are not right so i made some changes to it and asked about it after changing. sorry for any inconvenience
 

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