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The solution is a life of the type known as Dragon Eats Its Own Tail. White lives by making an encirclement long enough to join up into a single group with two eyes that look like false eyes. Two variations of the right answer are shown above. Below is an example of White's failure.
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This problem also appears in a modern collection called Showa no Tsumego, Vol. 1. There are three volumes in all. They are a compilation of problems from Kidos throughout the Showa era, each by a different player. They are generally on the easy side, but show a fascinating range of styles (e.g. Kitani Minoru seems to like problems with a perhaps obvious right answer but where there can be lots of wrinkles in the wrong answers). The books are published by the Nihon Ki-in at only ¥810. The ISBN of Volume 1 is 4-8182-0326-2 C2376.