Phi Brain: Kizuna no Puzzle

Also known as:  Phi Brain Portable, Phi Brain PSP

The PSP game adaptation Phi Brain: Kizuna no Puzzle is a "puzzle battle adventure" based on studio Sunrise's TV anime series Phi Brain: Kami no Puzzle (Puzzle of God). The game is created by Arc System Works (Guilty Gear, BlazBlue), featuring a new scenario with new puzzles as well as puzzles from the anime series.

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Producers, official website and other details: Wiki