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2.10 Continuations after 1D negative response to 1C

After 1C-1D:

1H 19+ HCP any shape (could be less on a strong playing hand).
1S-2H natural 15-18 HCP.
2S+ natural 15-18 HCP, good suit and playing strength; except
2NT 5/5 minors, 15-18 HCP.
3NT to play, based on long running suit with side stoppers, 15-18 HCP.

After 1C-1D-1H:

The full relay structure is used as normal but shifted up 2 steps.

1S Second negative, 0-4 HCP
1NT 5+ HCP and 4+ spades
2C 5+ HCP, balanced, or a red two-suiter
2D 5+ HCP and 4+ hearts and denies spades and diamonds
2H 5+ HCP and 4+ diamonds
2S 5+ HCP and 5+ clubs and denies other suit.
2NT 5+ HCP, reverser, 4 diamonds, 5+ clubs.
3C 5+ HCP 5/5 in the minors.
3D 5+ HCP, spade shortage, both minors with longer diamonds if bid directly.
3H 5+ HCP, even shortage, both minors with longer diamonds if bid directly.
3S 5+ HCP, 5431 shape with low shortage, and longer diamonds if bid directly.
3NT 5+ HCP, 6421 shape with low shortage, and longer diamonds if bid directly.
4C 5+ HCP, 7420 shape with low shortage, and longer diamonds if bid directly.
4D 5+ HCP, 6430 shape with 8+ points
4H 5+ HCP, 6430 shape with 0 controls; etc. (NB maximum controls = 3)

After 1C-1D-1H-1S:

1NT 19-22 balanced.

2C 23+ any shape.

2D, 2H, 2S, 3C, Natural, non-forcing, 19-22 HCP.

2NT 19-22 at least 5/5 in minors.

3NT to play, based on long running suit with side stoppers.

After 1C-1D-1H-1S-2C

Responder may give a third negative when holding 0-2(3)HCP or bid as follows:
2H4M and 5+m (neither suit specified) then 2S asks with responses 2NT=H+C, 3C=H+D, 3D=S+C, 3H=S+D (low bids promise high-ranking shortages, consistent with remainder of the system).
2SShows a hand describable with Puppet Stayman and transfers (all balanced, all long-major hands, both minors) and guarantees a rebid after any non-game bid by opener, who is not constrained to bid 2NT.
2NTThree-suited hand, then 3C asks and the short suit is bid naturally (3NT = club shortage).
3XShows a single-suiter of (usually) at least 7 cards.
Notice that there is no question of right-siding hands once all the suit denominations have been bid at the one-level!

After 1C-1D-1H-1S-2C-2D

2H and 2S are non-forcing, 2NT is 23+ balanced (Puppet Stayman and transfers), three-level bids are forcing.

Puppet Stayman Structure

After a 3C ask, opener responds 3H or 3S with a five-card suit, or 3NT with no four-card major. Opener responds 3D with at least one four-card major, whereafter responder bids 3H holding 4 spades, 3S holding 4 hearts, 3NT with no four-card major and 4D with both four-card majors.

After a 3D or 3H transfer, opener may superaccept by bidding 3H or 3S (as appropriate), deny support by bidding 3NT and show a normal acceptance by bidding 4H or 4S (as appropriate). After a 3NT denial, responder may repeat the transfer by bidding the suit below the one already shown.

After a 3S bid (both minors), opener bids 3NT with a hand not suited for 5C or 5D. With four- or five-card support, opener chooses a minor suit at the four-level to show extras and the five-level to deny extras. With both minor suits, opener may cue 4H or 4S or bid 4NT to deny the ability to cue.