And it was Accies who made the breakthrough in the eighth-minute when Offiong met Mensing's cross to fire home from inside the six-yard box.
City's playmaker David Silva showed his customary sublime control to take Dzeko's low cross and fire in at the near post seven minutes after the break, but QPR leveled on 69 when Bothroyd's header hit teammate Heidar Helguson in the back and deflected past wrongfooted goalkeeper Joe Hart.
It was left to a more experienced head to make Chelsea's progression to the quarter-finals secure, as Deco was given time and space in the box to collect Cole's left-wing cross, control and fire in to the bottom right-hand corner of Al Habsi's net.
Steve McKimm's cross found Jimmy Jackson, who made no mistake to fire the ball home and double Gravesend's advantage.
Andy Little failed to clear from a cross and Vucinic's shot was blocked before Djalovic pounced to fire home from six yards.
Fulham also sent on Vincenzo Montella in a bid to add firepower, and he should have done better than fire wildly over from Brian McBride's cross after 64 minutes.
Stewart Downing had already sliced his way through Everton's left-hand flank before Ashley Young's pass allowed Luke Young to fire in a dangerous cross from the opposite side, but fortunately for the home side there was no-one on hand to apply the killer touch.
Under cross-examination, Mr McCarthy denied setting fire to the Sharkey's home.
The bombardment was designed to kill or demoralise the machine-gun armed German front line and allow Haig's men to cross safely to the trenches before they were exposed to deadly fire.
It got worse for the Dons four minutes into the second half, when Langfield smothered McDonald's attempt at a cross but let the ball slip from his grasp for the Australian striker to fire into the empty net.
Eboue then burst through down the right only to fire across goal and Siaka Tiene blasted over from a tight angle following Drogba's cross from the right.
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