By Tim Cocks and Muhanad Mohammed BAGHDAD, June 29 (Reuters) - U.S. troops pulled out of Baghdad on Monday, triggering jubilation among Iraqis hopeful that foreign military occupation is ending six years after the invasion to depose Saddam Hussein.

Iraqi soldiers paraded through the streets in their American-made vehicles draped with Iraqi flags and flowers, chanting, dancing and calling the pullout a "victory".

One drove a motorcycle with party streamers on it; another, a Humvee with a garland of plastic roses on the grill.

U.S. combat troops must pull out of Iraq's urban centres by midnight on Tuesday under a bilateral security pact that also requires all troops to leave the country by 2012.

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"They did a good job getting rid of that tyrant, Saddam, and we thank them for that, but it's really time for them to leave," said Talib Rasheed, 70, sitting outside in one of Baghdad's leafier suburbs. "Maybe they could leave us some electricity?"