All FYI
Yes a difficult problem
4S makes 11 from either side for NS
East can make 10 tricks in H's
West can make 9 tricks in hearts (there there was a 5-5 heart fit)
Doubling 1NT then doubling 4S for T/O works better than
Doubling 1NT then bidding 4NT for take out, this led to an ugly -1100 as West with 3523 shape choose 5C as the contract.
On this occasion a simple 2H overcall would have brought home some of the bacon
regards
thebiker