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Please note that White must not fall into the trap of playing the kikashi of first. Black will answer at , connecting his partial groups in the upper right, so gaining one liberty back in the sequence (not sufficient here, but maybe in other comparable cases).
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At the decisive moment (when White has just captured the nakade on the left for the last time), Black's group at top left has four direct liberties () and one approach-move liberty ().
The (real) approach-move liberty is due to Black's eye. In the professional solution, Black has seven liberties at this point ( 720), so he has lost two moves by playing .