Work in harmony to achieve your goal
        
        
        
            
            
        
        
        
        
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            Example showing interleaved sequencing of moves.
        
        
            The top four discs         start to move. Once disc 5 is exposed and there is a free peg, it can move (but does not have to). Disc 1 moves on top of disc 5 but moves off before disc 5 needs to move.
            Disc 6 also moves before the top four discs are consolidated.
        
        
            The reassembly sequence again shows disc 1 moving onto disc 5; again it moves off before disc 5 needs to move.  This time disc 1 moves off disc 2 before disc 3 moves onto peg 1 - this is possible because disc 3 needs no additional free pegs to complete its move.