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I'd like something like

int minIndex = list.FindMin(delegate (MyClass a, MyClass b) {returns a.CompareTo(b);});

Is there a builtin way to do this in .NET?

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Try looking at these:

Min

Max

As long as your class implements IComparable, all you have to do is:

List<MyClass> list = new List();
//add whatever you need to add

MyClass min = list.Min();
MyClass max = list.Max();

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