My partner and I struggled to come up with a good auction for these hands. We ended up in a good spot (6NT), but I think that was more by luck than anything.
Assuming the South hand opens 1♣, can anyone suggest a rational auction to 6NT
( a ) playing whatever gadgets you prefer?
( b ) playing a fairly vanilla Standard American?
Double-dummy, 7NT is on, as East has ♣Kxx and ♥Qx. We picked up a few imps for 6NT= opposite 6C +1 at the other table.

Help
