An apparatus to print on media moved along a media path, comprising: a first print head die having first print structures (402A-402D) disposed along a major dimension thereof perpendicular to the media path, the first print structures (402A-402D) including a leading print structure with respect to the media path; and a second print head die independent of the first print head die, the second print head die having second print structures (404A-404D) disposed along a major dimension thereof perpendicular to the media path, the second print head die being staggered with respect to the first print head die along the media path, the second print structures (404A-404D) including a leading print structure with respect to the media path; wherein a portion of the second print structures (404A-404D) overlap a portion of the first print structures (402A-402D) by an extent between a minimum value and a linear function of a separation between the respective leading print structures (402D, 404D) of the first and second print head dies (40C, 40D), wherein the first and second print structures (402A-402D, 404A-404D) provide nozzles and liquid firing actuators for ejecting printing liquid onto a print medium, characterised in that the linear function is in the form of bx + c, where x is the separation between respective leading print structures (402D, 404D) of the first and second print head dies (40C, 40D) in the direction of the media path, b is a positive real number, and c is the minimum value, wherein the minimum value is equal to a die placement variation empirically determined from a manufacturing process used to place the first and second print head dies (40C, 40D). a first print head die having first print structures (402A-402D) disposed along a major dimension thereof perpendicular to the media path, the first print structures (402A-402D) including a leading print structure with respect to the media path; and a second print head die independent of the first print head die, the second print head die having second print structures (404A-404D) disposed along a major dimension thereof perpendicular to the media path, the second print head die being staggered with respect to the first print head die along the media path, the second print structures (404A-404D) including a leading print structure with respect to the media path; wherein a portion of the second print structures (404A-404D) overlap a portion of the first print structures (402A-402D) by an extent between a minimum value and a linear function of a separation between the respective leading print structures (402D, 404D) of the first and second print head dies (40C, 40D), wherein the first and second print structures (402A-402D, 404A-404D) provide nozzles and liquid firing actuators for ejecting printing liquid onto a print medium, characterised in that the linear function is in the form of bx + c, where x is the separation between respective leading print structures (402D, 404D) of the first and second print head dies (40C, 40D) in the direction of the media path, b is a positive real number, and c is the minimum value, wherein the minimum value is equal to a die placement variation empirically determined from a manufacturing process used to place the first and second print head dies (40C, 40D).