Sixteen-year-old Harry Cochrane opened the scoring at Tynecastle, Northern Ireland worldwide Kyle Lafferty added a superb second, and David Milinkovic made it three early in the second half before adding his second from the penalty spot.
Lustig sat out the 2-1 reverse against St Johnstone in May 2016, meaning his last loss to Scottish opposition occurred three months earlier against Aberdeen.
Craig Levein has admitted that he wouldn't put it past Celtic to go on another run of 69 games unbeaten as "they're that good".
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Brady was average at times but stepped up in the pocket for big deliveries at crucial moments, usually to Gronkowski. Williams bobbled the ball before hauling it in and returning the pick 13 yards to the Patriots' 22.
Hearts had two 16-year-olds on the field come full-time, and with players like Jack Aitchison and Liam Henderson waiting to break through, Celtic could do worse than give them a chance against Partick.
Celtic were thumped 4-0 by a rampant Hearts at Tynecastle. We didn't cope with their physicality, and we made too many mistakes.
Rodgers brought on the striker Moussa Dembélé and Stuart Armstrong for Tierney and Olivier Ntcham at the start of the second half but soon found themselves three down when Milinkovic took advantage of a Simunovic slip and rounded Gordon before knocking the ball into the net.
"I also want to congratulate my players", he added.
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Sunday's forecast calls for mostly cloudy skies with a high of 37 and a 20 percent chance of snow and rain before noon. Temperatures are forecast at above freezing for the weekend and into next week, according to weather service.
"They have been absolutely wonderful over those 18 months".
'Hearts were pressing us and I think and hope that if the pitch was a little bit better, we might have kept it better'. "It's a hard pitch so of course they were not going to want to play on the floor".
"We did our very best and unfortunately our best wasn't good enough".
After the final whistle, the Celtic boss and his players formed a huddle on the pitch, with Rodgers saying he was eager for the squad to reflect on the pain of defeat, and the magnitude of their achievements. "It was just a case of saying remember what this feels like - that obviously hurts - but also to remind them that what they've done is absolutely incredible".
Teen's Dramatic Video, Revealing His Acceptance By Harvard, Charms Internet
Earlier this December, Aryton's older brother Alex Little, a Senior at TM Landry, was accepted to Stanford University. Just like him, the whole room burst with happiness, chanting "three-peat".