I would like to say, "If I had got more time, I could have done it a lot better in a more efficient and short way."
But, how do I say that without having to use 'if'.
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Had I had the time is another way of saying it without "if". It is the inversion form of the third conditional, and it is a more formal way to say something. We can use the inversion form for all the conditionals:
Conditional type 1: If he refuses, let me know.
Inversion: Should he refuse, let me know.
Conditional type 2: If she were here, you would see it.
Inversion: Were she here, you would see it.
Conditional type 3: If you had been here, I'd have seen you.
Inversion: Had you been here, I'd have seen you.