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Most powerful monsters
Blue-Eyes Ultimate Dragon (4500/3800): This is the strongest of the 621 monsters in the game, can be formed by activating the Ritual "Ultimate Dragon" as they have 3 Blue Eyes White Dragon on the field, the Star of the Guardian letter is G, this letter is from Dragon-Type and is favored by the Field "Mountain".
Gate Guardian (3750/3400): The second strongest monster in the game, can be formed by activating a ritual while having a Sanga of the thunder, and Suijin Kazejin s in the field, the Guardian Star of this letter is Moon, this letter is Type Guerrero and is favored by the Countryside "Sogen."
Perfectly Ultimate Great Moth (3500/3000): There were rumors that this letter could be formed by merging the "Great Moth" with "Cocoon of Evolution" which is not true, apparently this card can not be formed from others; the Guardian Star of this letter is Jupiter; this letter is to type and is favored Bug Camp "Forest".
Meteor B. Dragon (3500/2000): This is perhaps the strongest card that can be achieved in fighting duels, in addition can also be formed by merging a "Red-Eyes Black Dragon" with "Meteor Dragon," the guardian star of this letter is Mars, this letter is Dragon type is favored by the "Mountain".
B. Skull Dragon (3200/2500): This rare card can be formed by merging a "Red-Eyes Black Dragon" with "Summoned Skull", the guardian star of this letter is Moon, This letter is Dragon type is favored by the field "Mountain".
[Edit] Monsters with a greater presence throughout the game
Twin-Headed Thunder Dragon (2800/2100): This letter is from the merger could summon a dragon more than 1,600 points of attack with a monster power. Often becomes the highest card used by novice players throughout the game, on the situation of electric dragon symbol. Favorably with the "Mountain" or "Umi".
Mystical Sand (2100/1700): This card is one of the easiest to hold, you need an angel and a rock monster regardless of their points of attack or defense.
[Edit] Some of the best magic cards, luggage and Traps.

Dian Keto the Kure Master: This powerful Spell, has the effect of increasing 5000 hit points to the wearer.
Tremendous Fire: No matter what the opponent has monsters on the field, this card remains 1000 Life Points your opponent instantly
Raigeki: This is perhaps one of the best magic cards in the game, because without that nothing can stop it, this card destroys all monsters your opponent has on his side of the field.
Megamorph: This luggage increases ATK and 1000 DFD any card monster.
Widespread Ruin: This trap is not only holds an opponent's attack but destroys the attacking monster regardless of ATK.
False Tramp: This letter is holding monster culaquier
Harpie's Feather Duster: Her special effect is similar to one that eliminates Raikegi trap and magic cards who are not active in the field.
Dark Hole: With this letter clears the field of all letters, whether monsters, magic trap or two players.
[Edit]

The story begins when a top magician named dynasty Egyptian pharaoh's treasure Heishin is forbidden ruins, this wizard is evil and you know that according to ancient wise to do the spell and invoke the dark lord would have the power dominate the world.The Gamer is represented in history by "Yami" which is the Egyptian Pharaoh, he likes to go out as a normal person to play Duel Monsters, this game is to remove all the opponent's life points using letters that contain the essence a monster, each letter has a score of Attack and Defense are compared each time 2 monsters face the winner being the one who has more points, the game offers the possibility of building strategies to strengthen or weaken the monsters themselves to enemies. Yami plays Duel Monsters often, until one day his adviser "Simon Murano" finds out and challenges him to a duel where if Yami wins, could continue their nightly duels and if you lose, you should return to the palace as it should be. Yami faces other characters like Teana and Villagers, after which Teana comes out with a party that takes place in the village square, where they encounter a wizard named Jono and Seto. This wizard defeated in a duel Jono and Pharaoh Seto promises to expire does not go unpunished for the defeat of his friend, so Seto challenges him, but a guard interrupts and the match is postponed, then back to where Yami Teana and Jono reside, Yami has a friendly match and then beat Jono, Seto comes to this place and is held pending the duel which Yami is the winner. After that Yami returns to the palace.
Once there Heishin-invade the palace and destroys everything in its path looking for the "Millennium Puzzle" which is necessary for the spell to make the forbidden ruins, Simon Muran gives Yami Puzzle and tells him hide, but finds Heishin and challenges Yami for a duel in which the winner would get the Article millennial loses the duel Yami Heishin (The game is fixed for the player to lose that match and continue with the story) and must give the puzzles, but Simon Muran break orders him to at least prevent Heishin wake the lord of darkness. Yami breaks it and gets caught in it.
-Now the game takes us to modern times where a little boy Motou Yugi who takes control, he receives directions tell you to enter a tournament organized by Seto Kaiba and get the remaining 6 items of the millennium to free the Pharaoh from his prison in the puzzle. When Yugi arrives at the end, he finds Shadi, who puts much of the story. In the game of Yu gi oh forbidden memories, the sole possessor of an article that does not appear millennium is Marik (According to the anime) and the scepter of the millennium has always corresponded to Kaiba Marik had it stolen, despite this his sister Isis if it appears in the story. When Yugi collects all overdue items to their owners (Shadi (Balance and Key Goals), Bakura (Band of the millennium), Pegasus (Millennium Eye), Isis (Collar of the millennium) and Kaiba (Millennium Rod)) Pharaoh is released from prison and that opens the portal to go back to ancient Egypt.
-When the king returns, all that was known before is ruined by Heishin, will give a visit to his palace and then when he came, he receives a magician, the magician Guardian is the guardian of the territories of Heishin , puts it on top of things and makes you see that his palace is in ruins, challenges him to a duel so that he can follow his path, Yami is victorious and the magician disappears.