This deal was (mis)played in the 2017 Team Trials by a former world champion. Try your luck with his South cards:

AK86
J52
--
AKJ1052

At unfavorable vulnerability, he opened the bidding 1 in second seat. LHO overcalled 1 and partner made a Responder's double for takeout negative double (promising both majors). RHO made a constructive diamond raise and opener jumped to 4. Everyone passed and the A was led:

Q1072 Q764 K102 43
AK86 J52 -- AKJ1052

The A was led, ruffed by declarer. He played the AK (all following) and then a spade to the queen (RHO throwing a diamond). Now what?

A club was led to the jack and the finesse won. If you try the A next, you are down. Here is the Real deal:

Vul: North-South Dlr: East	Q1072  Q764  K102  43
543  K1098  AQ985  8		J9  A3  J7643  Q976
	AK86  J52  --  AKJ1052

After the A ruffed, declarer drew trumps. When a club to the jack held and the A revealed the 4-1 break, there was no recovery. Remember that declarer ruffed at trick one, so he was out of trumps.

The winning solution was unusual. After the J won, there was a 100% way to make the contract (assuming LHO didn't sneakily duck the offside Q). Declarer is left in this position:

Vul: North-South Dlr: East	10  Q764  K10  4
--  K1098  Q985		--  A3  J76  Q97
	--  J52  --  AK1052

Declarer wants to take another club finesse, but is stuck in hand. Laying down the A (as we've seen) fails if clubs are 4-1. Leading hearts could lead to the loss of 4 hearts tricks, but not if done properly. Leading a low heart to the queen and East's ace costs the loss of 4 heart tricks (East wins the ace and returns a heart). The sure way not to lose 4 heart tricks is, in the diagrammed position, to play a low heart from both hands (the J also will do, but it isn't as obvious). Whatever the opponents do (even if they can take 3 heart tricks), they then have to give you access to a repeat club finesse and 10 tricks. On the actual layout, you'd end up with 11.