I'm trying to work out the best method to search a vector of type "Tracklet" (a class I have built myself) to find the first and last occurrence of a given value for one of its variables. For example, I have the following classes (simplified for this example):

```
class Tracklet {
    TimePoint *start;
    TimePoint *end;
    int angle;

    public:
        Tracklet(CvPoint*, CvPoint*, int, int);
}

class TimePoint {
    int x, y, t;

    public:
        TimePoint(int, int, int);
        TimePoint(CvPoint*, int);
        // Relevant getters and setters exist here   
};

```

I have a vector "`vector<Tracklet> tracklets`" and I need to search for any tracklets with a given value of "t" for the end timepoint. The vector is ordered in terms of end time (i.e. `tracklet.end->t`).

I'm happy to code up a search algorithm, but am unsure of which route to take with it. I'm not sure binary search would be suitable, as I seem to remember it won't necessarily find the first. I was thinking of a method where I use binary search to find an index of an element with the correct time, then iterate back to find the first and forward to find the last. I'm sure there's a better way than that, since it wastes binary searches O(log n) by iterating.

Hopefully that makes sense: I struggled to explain it a bit!
Cheers!