Mask assignment for multiple patterning lithography

A mechanism is provided for mask assignment for triple patterning lithography. The mechanism identifies tip-to-tip (TT), tip-to-side (TS), and side-to-side (SS) conflicting parts by design rule dependent projection. The mechanism finds stitch location for TT, TS, and SS conflicts separately. The mechanism colors TT, TS, and SS conflicting parts with mask0/mask1, mask0/mask2, mask1/mask2 coloring cycle with each type colored separately. The mechanism uses existing infrastructure of two-way coloring. As a first objective, the mechanism attempts to minimize conflicts. As a second objective, the mechanism attempts to minimize the number of stitches by assigning the two sides of stitches to the same mask. Once coloring of all conflicting parts is done, the mechanism colors non-conflicting parts to maximize minimum overlap of exposures and to use both colors if two sides are different colors and one color if both sides are the same color.