Living group is an important concept in go. Living group is safe against any play by the opponent. At the end of the game, all group should be able to defend themselves.
The player can capture a stone by playing into its last liberty. In the diagram a white stone A is captured when black plays to B. Liberties are empty intersection connected to a stone by line.
The game starts from an empty board, and black plays the first stone. The goal is to surround empty territory and capture opponents stones. Game ends when both players pass. Stones can be captured in the same way as in capture-go. Repetition of same board position is forbidden similarly to capture 3 game.
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In following problems you need to identify last remaining place, where points could earn, or reduced. The gained points are marked in the correct answer. The lost reduction opportunities are marked in wrong variations.