Find the longest valid slice of a sequence of brackets after performing at most K bracket rotations.
  
  
  Stats:
  
    
      5347 started
    
    
      42 silver awards
    
    
      118 golden awards
    
  
  Hall of fame:
  
    
      
        
          
            
            
              
              
                1
              
             
           
          Tadeusz Sznuk
          
        
 
        
          Time: 5 hours, 40 minutes
        
       
    
      
        
          
            
            
              
              
                2
              
             
           
          Santosh Kalwar
          
        
 
        
          Time: 10 hours, 14 minutes
        
       
    
      
        
          
            
            
              
              
                3
              
             
           
          Abhimanyu Rawat
          
        
 
        
          Time: 13 hours, 18 minutes