Hi all, Shortages are invaluable, so you need something for minisplinters. I used to think 'Mathe' in Root's book was archaic, but now I see why it's good. You must show shortages, so keep those minisplinters. Just take the time to package them more optimally. 1M- 3M+1 = any minimum GF splinter (9-12, say), don't have to ask for location other DJ's = mild slaminterest+ splinters 3M-2 or so = limit raise (either balanced 10-11 or unbalanced weaker)--> some relay asks for shortage if any Splinters with wide ranges must involve discussion over whether cues ask for cues or "so how strong was that splinter, anyway". But immediately showing strength is simpler than agreeing on lots of cue-bidding sequences. If you want micro-splinters (invit to game), more optimal is to play a shortage-ask over a simple raise. Games are easier to accidentally make than slams anyways, so these really weak ones gain less for the memory. Dan