Would a tiagra 50/34 crank work with the alivio or deore shifters? Im guessing I would have to get road bike front derailleur and not sure about the shifting.

I'm basically looking at getting a deore or alivio groupset. Only issue is the large gear. The deore double crank maxes at 38 teeth and the alivio triple maxes out at 40 teeth (at least the ones I can find cheap). Not sure if thats enough for me.