Paddock had set his sights on Lollapalooza and had booked two rooms

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Stephen Paddock had his sights set on Lollapalooza in Chicago and even booked 2 rooms in a hotel that overlooked the massive outdoor venue ... TMZ has learned.

Paddock booked one room for August 1, 2017, 2 days before the August 3 kickoff. Paddock then booked a second room for an August 3 arrival. Both rooms had an August 6 checkout ... that's when Lollapalooza ended. 

The hotel directly overlooked the main stage as well as several adjoining stages. It also overlooks the main entrance and exit where thousands of people file through. And the hotel had a bird's-eye view of the crowd. We're told Paddock specifically requested both rooms be a "view room" which only face Grant Park, where the concert was being held. And here's the scariest part ... it's difficult if not impossible to flee because of Lake Michigan. Sources tell TMZ Paddock had never booked a room at the hotel before, nor had his girlfriend.

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