Cast Scapeshift, sacrificing 9 lands and searching your library for nine gates minus the number of gates already on the battlefield under your control and putting them onto the battlefield.
Activate Maze's End, searching your library for a tenth gate and putting it onto the battlefield, winning you the game.

Win the game

Maze's End

Scapeshift

Cast Scapeshift, sacrificing 10 lands and searching your library for Maze's End and nine gates minus the number of gates already on the battlefield under your control and putting them onto the battlefield.
Amulet of Vigor triggers ten times, untapping all of the lands.
Tap the lands for mana.
Activate Maze's End, searching your library for a tenth gate and putting it onto the battlefield, winning you the game.

Amulet of Vigor

Cast Scapeshift, sacrificing 10 lands and searching your library for Maze's End and nine gates minus the number of gates already on the battlefield under your control and putting them onto the battlefield untapped.
Tap the lands for mana.
Activate Maze's End, searching your library for a tenth gate and putting it onto the battlefield, winning you the game.

Combos with "Scapeshift"