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lec3 - MIT OpenCourseWare http/ocw.mit.edu 6.006...

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MIT OpenCourseWare http://ocw.mit.edu 6.006 Introduction to Algorithms Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .
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Lecture 3 Ver 2.0 Scheduling and Binary Search Trees 6.006 Spring 2008 Lecture 3: Scheduling and Binary Search Trees Lecture Overview Runway reservation system Definition How to solve with lists Binary Search Trees Operations Readings CLRS Chapter 10, 12. 1-3 Runway Reservation System Airport with single (very busy) runway (Boston 6 1) “Reservations” for future landings When plane lands, it is removed from set of pending events Reserve req specify “requested landing time” t Add t to the set of no other landings are scheduled within < 3 minutes either way. else error, don’t schedule Example 37 41 46 49 56 time (mins) now x x x x Figure 1: Runway Reservation System Example Let R denote the reserved landing times: R = (41 , 46 , 49 , 56) Request for time: 44 not allowed (46 �R ) 53 OK 20 not allowed (already past) | R | = n
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