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  Diagram 21.1: Black to play 
Let us discuss this corner shape seemingly weakened by  . 
Suppose white just plays  , how can black respond?   
  Diagram 21.2: White fails 
  is incorrect, but   is wrong too. 
  is the key point and black is alive. 
  Diagram 21.3: Black fails 
  occupies the key point instead. 
  is the most tricky answer (clearly   or   not working). 
Although   is a good move (a common tesuji to avoid those big-eye killing shapes), it doesn't work here...... 
  Diagram 21.3: Black fails (continued) 
  is a calm move. Black is killed. 
  Diagram 21.4: Solution 
It becomes clear now that   is the key point. 
If white plays  , black has a number of forcing moves, followed by  . 
  Diagram 21.5: Solution (continued) 
  can be a tesuji sometimes. But because of the external liberty at 'a', 
black can use Oshi-tsubushi tesuji to kill the white stones. 
  Diagram 21.6: Black fails 
  also looks like a key point, but so is  . 
If black chooses  , white can form almost a picnic ko. Black clearly fails. 
  Diagram 21.7: Black fails too 
  here is better. 
After   there is just enough room for black to make two eyes. 
Black is successful in a pure life & death sense. 
But comparing to Diagram 21.4, black is almost 10 points worse off so I cannot accept this as an alternative solution. 
  Diagram 21.8: White fails 
  is slightly more challenging.   is incorrect. 
Black can play   and the corner is completely alive. 
  Diagram 21.9: Same as Diagram 21.6 
Apparently   is the key point. This results the same as Diagram 21.6. 
  Diagram 21.10: Black fails 
  doesn't work and the corner is killed by  . 
 
Conclusion: Diagram 21.4 is the only right solution. 
Luckily it is not hard to memorise that: 
  is almost always the key point for Carpenter's Square shapes. 
 
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