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Answer :
Yes, there is an algorithm to find the flag with a time complexity linearly dependent on the distance of the flag from the origin. This algorithm is called linear search.
In a linear search, you start at the origin (0) and iteratively move one step at a time in either the positive or negative direction of the real line, checking each integer coordinate along the way until you find the flag.
Since you don't know the exact distance or direction of the flag, the worst-case scenario is having to search through all the integers up to the distance of the flag from the origin. Therefore, the time complexity of this algorithm is linearly dependent on the distance of the flag from the origin.
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