| Analysis | 
                        
                        
                           | 
                        
                        
                          
                            - Any object not seen cannot be in top-
  list 
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                            - Due to monotonicity property
 
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                          |   | 
                          
                              in earlier example 
                            | 
                        
                        
                          
                            - Comparison with brute-force (BF) algorithm
 
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                            - Assume a disk page contains one object and its associated score
 
                            | 
                        
                        
                          
                            - BF does 
  random accesses and   sequential accesses 
                            | 
                        
                        
                          
                            - Denote cost of random access by 
  and sequential access by   
                            | 
                        
                        
                           | 
                        
                        
                          |   | 
                          
                            - Database access cost of BF is 
  
                            | 
                        
                        
                          |   | 
                          
                            - Cost of FA is 
  
                            | 
                        
                        
                          
                            - FA does lesser sequential accesses but more random accesses
 
                            | 
                          
                        
                          
                            - " Seen" list is long leading to many random accesses
 
                            | 
                        
                        
                          
                            - Finding 
  "full" objects may need deep probing into the lists 
                            |