I'm trying to figure out how to verify if a sequence is bitonic. I know bitonic sequences have an increasing trend followed by a decreasing trend, or vice versa. But what's the best way to check this mathematically or programmatically?
            
            
            
            
            
            
           
          
            6 answers
            
            
  
    
    Chloe_jackson_athlete
    Sat Oct 12 2024
   
  
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    charlotte_clark_doctor
    Sat Oct 12 2024
   
  
    Alternatively, a sequence can be deemed bitonic if, through a circular shift, it can be arranged to first monotonically increase and then monotonically decrease. 
  
  
 
            
            
  
    
    KatanaSwordsmanship
    Sat Oct 12 2024
   
  
    Monotonicity in this context refers to the property of a sequence where each element is either greater than or equal to (for increasing) or less than or equal to (for decreasing) its predecessor.
  
  
 
            
            
  
    
    ShintoSanctum
    Sat Oct 12 2024
   
  
    Bitonic sequences have applications in various fields, including sorting algorithms, where they can be utilized to optimize the sorting process by partitioning the sequence into increasing and decreasing subsequences.
  
  
 
            
            
  
    
    GinsengBoostPowerBoostVitality
    Sat Oct 12 2024
   
  
    A sequence is considered bitonic if it exhibits a specific pattern of change. This pattern involves an initial monotonic increase, followed by a monotonic decrease.