This is the story of an all-girls kendo high school. All of the girls there are descendants of famous swordsmen from Japan's history. One girl is a relatively new transfer student, Hanyu Jubei, and a descendent of the famous Yagyu Jubei. She has never practiced with a sword, though it is in her ancestry. On her sixteenth birthday, the high school has a friendly match with another school, whose all-male team is dismayed to be roundly defeated by little girls. If Jubei is going to win her match, though, she will have to find a way to unlock the power of her ancestor.

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Year 2130 --
after the third world war, large contaminated areas known as "Blackspots" formed all over Japan. Large Walls were used to quarantine off these "Blackspots". In time, signs of inhabitance appeared within these wastelands. Among the survivors who had been abandoned inside the Blackspots, labeled as "those who were unneeded", came forth possessors of uncanny abilities -- Fire, wind, brute strength... they were defined by their supernatural abilities. Others, fearful of their powers, expelled them and named them - - - Needless!