A device used to print large maps, drawings, graphs, etc is known as plotter. A plotter contains a printing head and a drum through which the paper comes out. The plotting pencil is held in a block which in turn is head by a system of four springs as shown. The spring constants of the four springs are k_(1) = 20 N//m, k_(2) = 30 N//m, k_(3) = 60 N//m and k_(4) = 30 N//m. Initialy, the pencil is in the middle i.e., at x = 0 and all the springs are in natural length. The velocity of paper coming out is v_(0) =0.2 m//s. The block is set up in motion by giving a velocity = 1m/s towards right. The mass of the pencil block with pencil is m_(1) = 0.7 kg. The friction is assumed to the absent in the system. Suppose the pencil block is in the mean position and moving towards left. A parrot of weight 2.1 kg sits gently on it. The parrot flies in upward direction when the block reaches extreme left. What is the distance moved by the parrot ?