AJxx
AQTxx
Qx
xx
You open 1♥ (10-15) and accept partner's 3 card limit raise (after forcing NT and 3H).
LHO leads the smallest outstanding spade, suggesting an odd number. He may still have 5 since you judge them to be quite conservative especially with a bad suit.
Scoring: IMP
RHO plays the king.

Help
