The Contract Hidden in the Maze

In his powerful state known as 'Phi-Brain', Kaito manages to solve the puzzle, allowing them both to escape the ruins. Later, Kaito becomes annoyed by a puzzle solver named Gammon Sakanoue, who carries the title 'Galilleo'. As Kaito receives a request to solve another puzzle, Gammon tries to claim it for himself and ends up joining Kaito and Nonoha. The puzzle in question is a life-sized sliding puzzle in which the player must get their car out of the puzzle within a time limit before it is crushed by a falling truck. As Gammon nearly completes the puzzle, the puzzle giver cuts off the ability to move the car they are in, supposedly leaving them with no solution. However, Kaito once again enters his Phi-Brain state and manages to use the other vechiles in the puzzle to push their car out of the way before they are crushed.

Kaito meets a boy genius solver named Cubic Galois, who carries the title of 'Edison' and prefers mathematics other puzzles. He attaches a strange bracelet onto Kaito's arm, which causes his head to hurt whenever he thinks about puzzles. At this time, Kaito, Nonoha and Gammon are called to solve a puzzle, with the city rigged to explode if they fail. Though Cubic tries to make things harder for Kaito to make him give up on puzzles, he soon learns that the puzzle giver is serious about blowing up the city. With less than two minutes remaining, Kaito enters his Phi-Brain state and solves the puzzle with a second to spare. Admiring his skill, Cubic apologises to Kaito and removes the bracelet.

Kaito is given a Sage Puzzle to solve on the weekend, where he is to be partnered with Ana Gram, an art enthusiast who holds the title of 'Da Vinci'. They visit the mansion of a late artist, with its butler revealed to be a Giver from the POG. Kaito and Ana are trapped in a room which will fill with gas if they don't solve the puzzle. Presented with a jigsaw containing various famous paintings, Kaito and Ana work together to solve the puzzle, the treasure of which is a series of paintings the painter dedicated to his wife. Back at school, Kaito and Nonoha are surprised to find that Ana is a boy.

The POG extend an invitation to Kaito, who is accompanied by Nonoha and Gammon, to their headquarters. As the three make their way through the maze to meet with the POG's head, Kaito notices something eerily familiar about the puzzles they have to solve. This particularly holds true to the final puzzle, which is similar to a puzzle that took the lives of Kaito's parents. As Kaito goes berserk at the memory of it, Cubic helps Nonoka snap him out of it by shocking him with her cookies. Since this causes Kaito to pass out, the mysterious POG head cancels the meeting. After Kaito recovers, he finds himself having trouble solving even a simple puzzle.

Kaito is still tormented by his memories and unable to solve puzzles. Cubic researches into the Orpheus bangle, theorizing Kaito's breakdown was a result of his brain power being completely controlled by emotions. He advises Kaito to not solve anymore puzzles, as another breakdown could put his life in danger. However, because of a promise he made when he was younger, Kaito can't let puzzles go and accepts another puzzle request from the POG. Kaito soon comes across a complex Kenja Puzzle with Gammon and Nonoha's lives at stake. As Kaito goes through another breakdown, he remembers his promise and manages to regain his puzzle solving skills and solve the puzzle.

As Nonoha visits some kindergarten students, their teacher, Madoka, gives Kaito a letter, which the others suspect to be a love letter. Suspicious about the contents, Nonoha and Gammon follows Kaito to the meeting point, where it's revealed Madoka is a Giver following in her late fiancée's footsteps. Kaito, Nonoha, Gammon and Madoka, along with some children, become trapped in a Kenja Puzzle inside an abandoned building, which wasn't what Madoka expected. Nonoha works to calm the children down whilst Kaito solves the puzzles. When the last puzzle gets destroyed due to falling debris, Nonoha's photographic memory allows her to recreate the puzzle, allowing Kaito, Gammon and the children to solve it, revealing a statue of Florence Nightingale which Nonoha donates to poor children. As a result, Nonoha ends up with the title 'Nightingale', which doesn't exactly please her.

Kaito is contacted by Genius Okudera, a man he once saved from a ruin, who invites him, Nonoha and Ana to a puzzle-themed hotel resort in Hokkaido to solve an alleged Kenja Puzzle being displayed as the centerpiece. After spending a day of activities, Kaito starts to solve the puzzle the next day, becoming suspicious that there aren't any traps involved. As Kaito comes close to solving the puzzle, which he deduces to not be a Kenja Puzzle, he almost succumbs to sabotage but is saved by Nonoha and Ana. Upon solving the puzzle, they find the treasure is a view of nature which has become ruined because of construction of an amusement park. Having painted a picture of what the landscape originally looked like, Ana helps the hotel owner remember the times he spent with his grandfather who created the puzzle, deciding to cancel construction and work on rebuilding the forest.

As Root Academy prepares for a cultural festival, where Kaito finds himself reluctantly entered into a crossdressing contest, the principal, Baron Kaidou, agrees to install a Kenja Puzzle within the academy. Just as Kaito gets into his crossdress, he learns that Nonoha has been taken hostage for the Kenja Puzzle, in which he must eat apples from truth telling dwarves whilst avoiding poisoned ones before the setting burns down. Kaito soon learns from the Giver that granted him Orpheus, who is secretly the student president, Souji Jikukawa, that important information needed to solve the puzzle has been intentionally left out. Souji provides the remaining information for the puzzle, allowing Kaito to solve it and free Nonoha, before getting help from Cubic to save them from the collapsing area.

As Kaito dreams of appearing on a TV puzzle show hosted by Elena "Antoinette" Himekawa, Gammon, who had been Elena, jumps in to protect her when it looks like she is being cornered, though she is not too happy about the rescue. As a POG Giver, Elena is asked by the headquarters president to bring Kaito, Gammon and Nonoha to a Kenja Puzzle. They are trapped in a puzzle suspended over a pit in which Kaito is given the option to sacrifice his friends to receive hints, while Gammon and Nonoha are given the option to either sacrifice themselves, or make Kaito fall instead. As Elena tempts the others to sacrifice Kaito, she is surprised about how much faith they have in Kaito. As Kaito struggles near the end, the Orpheus bangle kicks in and he manages to solve the puzzle just in time.

Elena enlists the help of Kaito and his friends as extras in a new sentai show she is starring in. Later that night, Elena brings everyone together for a Kenja Puzzle in which they must construct a three-dimensional puzzle within a time limit or else be electrocuted. As Elena makes the puzzle harder by throwing in a remote controlled UFO in the works, the POG president sends in more explosive variants against Elena's wish. After everyone works together to stop the bombs and protect Elena, Kaito enters his Orpheus state and solves the puzzle in the last minute, revealing the treasure to be a puzzle book Elena had when she was younger. Meanwhile, the HQ President is relieved of his duty for his unfair ways.

Kaito is surprised to meet his childhood friend, Rook Banjou Crossfield, who unbeknownst to him is the head of POG Japan, and learns he is to become an exchange student at Crossfield Academy in England. Upon arriving at the academy, Kaito and Rook spend some time exploring and reminiscing about old times, particularly concerning an old man who taught them about puzzles. While exploring a maze from their childhood, they discover a curious path leading to a Kenja Puzzle. Kaito is trapped inside it and is forced to solve the puzzle while avoiding deadly saw blades. It is soon revealed that this is a more extreme Kenja Puzzle known as the Fool's Puzzle.

As Kaito pushes through the puzzle, believing Rook is in danger, Nonoha and the others decide to fly to England, learning the truth about Fool's Puzzles from Souji on the way. As Kaito reunites with Rook, he tells him about their old master, Jin Makoto. As the puzzle room starts to fill with fire, Kaito's Orpheus state activates and he reaches the top, only to find there is no exit. It is then that Rook reveals he is a POG giver who created the puzzle and wanted Kaito to ascend to Phi Brain. As Kaito falls unconscious from the shock, Rook saves him from falling into the fire and leaves him for Nonoha to find.

As Kaito remains unconscious in hospital, Cubic is invited by Rook to take on a puzzle and accepts it, wanting to prove his friendship to Kaito. He comes to an abandoned military base where a different POG Giver gives Cubic a math puzzle to solve, where his failure will result in him being blown up by a tank. Meanwhile, Kaito regains consciousness and explains his situation with Rook to the others. Cubic is given the chance to escape, but he remains determined and manages to solve the puzzle at the last second. The Giver reveals that Rook made the puzzle when he was five, which makes Cubic feel unworthy of being Kaito's friend in comparison.

Kaito becomes angry when he notices Rook to have done something to Cubic. He and Nonoha go to one of Rook's old living quarters, where they learn of Rook's disturbing childhood. After hearing from Nonoha about some ruins where Kaito and Rook used to hang out, Ana goes to investigate and encounters a POG Giver, who presents a maze-type Kenja Puzzle, which Ana solves easily. However, things get hectic when Gammon and Cubic attempt to rescue him, but Ana makes it out okay, retrieving a wooden puzzle Rook made for Kaito, the sight of which also surprises Rook himself.

With the planes back to Japan allegedly taken over by the POG, Kaito and the others travel to Venice instead. As Souji goes to see Rook concerning the Phi Brain project, Gammon deduces that their transfer to Italy was the work of the POG and goes alone to take on a Fool's Puzzle, in which he must travel through numbered gates on a gondola. As Gammon reaches near the end of the puzzle, he finds the final gate difficult to reach and the rising tide putting him in danger. However, Kaito arrives and uses his Orpheus state to figure out how to reach the end of the puzzle safely, much to Gammon's annoyance.

As Kaito and the others return to Japan, they find the principal, Baron Kaido, has gone missing. Later on, Kaito is summoned by the POG to the place where his parents died. As Kaito and the others arrive at the location and find Baron, Kaito receives a video revealing his parents were POG Givers monitoring his potential for Phi Brain. Baron further reveals that they weren't his real parents, as well as revealing himself to be a POG member. Baron decides to tell Kaito everything about the Phi Brain project, revealing that his parents went against the POG's orders and took the Fool's Puzzle that killed them in place of Kaito to protect him. Baron shows Kaito another video, showing that, despite not being his real parents, they truly loved him like their own child, which also shocks Rook. Determined to give his parents a proper farewell, Kaito activates his Orpheus state and solves the Fool's Puzzle once and for all. After telling Kaito that Jin is being held captive by the POG, he leaves and is captured by the POG for his betrayal.

Following the incident, Cubic and Ana start avoiding Kaito, believing they can no longer follow him, much to the dismay of Nonoha. Meanwhile, Gammon, who is contemplating whether he should become a Giver, becomes concerned that the POG may start targeting Nonoha. He calls Kaito and Nonoha out, saying that they should stay away from each other. When they object, Gammon challenges Kaito in a puzzle of his own design, in which they must attempt to trap each other in laser walls. After Kaito uses his Orpheus state to solve the puzzle, Gammon walks off and decides to become a POG Giver.

Kaito is visited by Gammon's little sister, Miharu, who is worried that she hasn't heard from Gammon. Meanwhile, Gammon arrives at the POG headquarters and is challenged by the Givers to earn the right to see Rook. He is eventually challenged by Rook's right hand man, Bishop, to face a puzzle in which he must manipulate lanes on a motorbike circuit to catch up to his opponent. Kaito and Nonoha are meanwhile approached by Elena, who tells them about Gammon joining the POG and gives Nonoha a puzzle which she solves herself. As Gammon clears the puzzle and earns the right to join Rook, Kaito experiences a strange reaction coming from the Orpheus bangle.

As Miharu has dinner with Nonoha, Kaito faces a deadly puzzle against Gammon, who seeks something known as The God Scrolls in order to complete the Puzzle of God. As Kaito nears the end of the puzzle, he sees a vision in which his friends die, which causes him to hesitate and make an error, though Bishop arrives and ends the puzzle before Gammon can win. The next day, Kaito sees more of his vision, predicting the destruction of the world if the Puzzle of God is solved. Believing this to be a vision of the future, Kaito resolves to solve the Puzzle of God himself.

As Kaito experiences strange occurrences in which he loses focus of everything else when he glances at puzzles, Cubic reveals this is the result of Kaito's brain speed reaching abnormal levels, advising him not to solve puzzles anymore. As Kaito ignores his advice and prepares to face another Fool's Puzzle, Cubic asks for Souji's help in hacking into POG's network. Although Kaito is able to quickly solve the puzzle, he remains unable to see anything, but Nonoha arrives and helps him return to normal. As Cubic and Souji successfully hack into the POG network, Baron follows Rook to where Jin is held captive, finding that Rook also has an Orpheus bangle.

After finding Jin a complete wreck, Baron explains to Gammon about how POG's leader, Count Pythagoras, intends to bring about a conflict between Kaito and Rook in order to open the gate to the Puzzle of God, while Kaito reads up on what Cubic had found on POG's network. Years ago, Pythagoras once attempted to achieve Phi Brain using Jin, who contracted with Orpheus and became a solver for POG. However, one day, Jin received a vision of the future, showing the world being destroyed by Pythagoras. Jin quit POG while Baron stayed to become a Giver, working together to find a way to prevent Pythagoras from achieving the God Scrolls. Two years prior to the story, Jin left to fight against Pythagoras in the Puzzle of God, though the results are unknown. As Kaito and the other files discover a hidden file on the POG network reading 'Phythagoras is dead', Rook appears before them, revealing he has been the one in control of the POG since Pythagoras' death half a year ago. As Rook reveals himself to be an Orpheus contractor, Kaito's vision shows that the one supposedly responsible for destroying the world is himself.

After Kaito's encounter with Rook, he goes to see Ana, whose drawings and paintings resemble his visions, explaining that the future is yet to be determined. The next day, Gammon challenges Kaito to a final puzzle in which they must climb up a series of platforms to win while avoiding being crushed by their opponent. As Kaito becomes conflicted on how to solve the puzzle without putting Gammon at risk, his Orpheus bangle breaks, retaining his brain power but remembering his ideals, allowing him to win the puzzle without killing Gammon. As Rook becomes shocked by the results, Kaito's vision changes accordingly.

As the POG breaks apart following Rook's outburst, Kaito is contacted by Rook, who asks to spend some time with him in a surprisingly friendly manner. After a seemingly normal day of hanging out together, Rook challenges Kaito to a fight to the death so that he can unlock the God Scrolls he has in his possession. As Kaito agrees to go with him to the island of Kaika in the hopes he can save him as well, Baron and Gammon retrieve Jin while Bishop asks the help of Nonoha, Cubic and Souji to try and stop them.

Rook presents a solar system based puzzle where, if Kaito reaches the Sun, Rook would fall to his death, with Rook simplifying the puzzle to make it easy for Kaito to solve. Kaito, looking for a way to solve the puzzle while saving Rook, realizes he can get help from his friends. Realizing that the puzzle is based on the wooden puzzle Rook made him ages ago, Kaito manages to save Rook by stopping the Sun from crumbling while the others use a bomb to steer Kaito and Rook to safety. As Rook realizes he wants to make more puzzles for fun, his Orpheus bangle disappears, and he decides to go on a journey to find himself and reform the POG.