Celtic have a massive mountain to climb if they're to progress to the Champions League playoff round.
Legia Warsaw strker Miroslav Radovic (pictured) dazzled and, as he did against St. Pats last week, scored a brace against the Hoops.
Michal Zyro and the man dubbed the Polish Messi, Jakub Kosecki, scored one each.
Callum McGregor had opened the scoring for the Hoops but it really started to dismantle for boss Ronny Deila when centre-half Efe Ambrose was sent off before the break.
Legia, who also missed two penalties, go to Murrayfield for the second leg next week.