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  2007-06-04

Problem diagram.
Black plays.

Source:
Qi Jing Zhong Miao #494 , an ancient collection of mostly kyu level life and death problems. This problem is a classic about a freedom race, eyes, and seki.

Analysis:
   Myron Souris

Solution follows    (or click here to download SGF)






























Correct.
Black 1 through White 4 is the only way. Black 5 is the crucial move. Only the relative size of the internal eyes determines the semeai winner. White's eye now has only 3 points, Black's has 4.

The shared internal freedoms are more numerous than White's external freedoms. So to win, Black only has to eliminate White's outside freedoms, fill in the internal shared freedoms, and then take advantage of his extra freedom in his larger eye.


Continuation.
Black 13 at 8. Filling freedoms occupies both sides through White 22.


Continuation.
With the shared internal freedoms down to 1, Black 23's capture purchases 3 more freedoms. But White 26 can purchase only 2 more! Black 27 throws in to kill White.


Failure.
Black 1 lets a golden opportunity to kill White slip by. White 2 reduces the size of Black's eye. Now both Black and White's eyes will each have only 1 internal freedom nearing the end of the semeai. Because both sides share so many more internal freedoms than White's external freedoms, the result is a seki. Try it!


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