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Dr. Sanada Mio invented a next-generation weapon which she called "G-on" to repel alien's attack. This new secret weapon needs to be resonated with the heart of its user (has to be young girls! you know japanese anime/manga common approach for transformation equation :b) and it will turned into a sword which holds POWER proportional to the strength of the heart of the girl who uses it. Nevertheless to say, the new weapon and the plan are approved immediately and a special school is established to recruit young girls from across the country.