Geometry of the Chessboard: Reti Endgame Puzzle

It is white to move. It looks impossible to achieve a draw here. Black's pawn is way out of the white's king's range. It seems white has to either try to queen his c pawn, which looks impossible or chase down black's h pawn, which also looks impossible.

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White to move and draw. Hint: Use the geometry of the chessboard to move two directions at the same time!