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    C#: method name should be PascalCase (Please refer to implementation of backward compatibility here )

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    Tests in R are disproportionately harder than in other languages. 1000 tests make fail many approaches valid elsewhere (~100 tests in Python and NASM, ~30 in JS and C...).

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    Honestly, great Job.

    the only thing i can say to make it better is this.
    E.G: You need help booking an appartment.

    good fun kata!.

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    This is free using any BigInteger type.

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    Improve your explanation as it is not clear why intervalList1 should to give false answer. Test basic is clearly in proper range, room is not occupied in its time interval.

            StartDate = DateTime.Parse("4/6/2019 1:02:32 PM"),
            EndDate = DateTime.Parse("4/6/2019 1:03:32 PM")
    

    if we will confront it with list when the room is occupied

            StartDate = DateTime.Parse("3/2/2019 3:04:32 PM"),
            EndDate = DateTime.Parse("3/5/2019 5:06:32 PM")
    
            StartDate = DateTime.Parse("4/6/2019 1:04:32 PM"),
            EndDate = DateTime.Parse("4/6/2019 1:06:32 PM")
    
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    Why don't you block access to biginteger? Your kata will be much more interesting.