Rebidding after Partner makes a Negative Double showing both Majors

This post builds on the knowledge learned in previous posts. Please read them first:
Introducing the Negative Double - Auctions showing Spades
Responding to a 1 Level Negative Double when RHO passes
Responding to a Negative Double when RHO raises 1 level
Negative Doubles to show Hearts
Responding to a Negative Double with Hearts RHO Passes
Responding to a Negative Double which shows Hearts when RHO raises 1 level

and most importantly:
Negative Doubling to show BOTH Majors

Once Partner makes a Negative Double you (as Opener) are basically forced to bid. It's a little bit like a Take Out Double. If you "Pass" the Negative Double, the Opponents are playing at a low level contract and neither you, nor Partner, has very many trump. So you NEED to respond. Let's look at hands where Partner made a Negative Double at the 1 level to show that they have both major suits.

So the auction would be:

YOU!	Your Left Hand Opponent	Partner	Your Right Hand Opponent
1♣	1♦	Double	Pass
???

and here is your hand:
♠KQ92
♥J82
♦83
♣AK84

If you "Pass" right now your LHO is playing in 1♦ Doubled and you only have two trump. Partner doesn't have to have any! So you cannot "Pass".

Partner's Double told you that they have at least four ♠ in their hand. Perfect! You have four ♠! You have a ♠ fit!

You need to tell Partner that you have a fit. But you don't want Partner thinking you have much in the way of points. You are minimum for your opening bid. Bid 1♠. That tells Partner that you have a fit, but you only have a minimum hand.

What if your hand was stronger? What do you do then?

With a VERY stong hand, say this one:
♠AKJ9
♥82
♦AT4
♣AK84

you can just go right to game. Bid 4♠. Partner is supposed to have at least 6 HCP to make the Negative Double. You have 19 HCP! That should be enough to make a game.

With a more medium type hand you can jump one level.

So with this hand:
♠AKJ9
♥82
♦96
♣AKJ84

you would jump to 2♠. That tells Partner that you have more than just a minimum opener, but not quite enough to bid a game.

Can you count extra points somehow?

Say you had this hand:
♠AQ92
♥AT2
♦4
♣AJ842

You opened the bidding 1♣. If the Opponents had not interfered Partner would have responded 1♠. You have a fit and you will be Dummy. You can now add Dummy points to your hand. So now rather than 15 HCP in your hand you have 18 points because you get to count three points for your singleton ♦. It seems unfair that when the Opponents interfere with a 1♦ overcall you no longer get those points.

It is unfair. Give them to yourself!

So add Dummy points to your hand even though you will be Declarer.

So that 15 HCP hand now becomes an 18 point hand. You can now jump a level to 2♠ to show a hand with about 17 or 18 points -- even a really good 16 point hand.

That's quite a bit of information. Let's practice! That might make things a bit more clear.

On the following hands YOU opened the bidding 1♣. Your LHO (Left Hand Opponent) overcalled 1♦. Partner doubled. You have agreed to play Negative Doubles and this is one! Partner has at least 6 HCP and at least four cards in BOTH Majors. Your RHO (Right Hand Opponent) says "Pass". It is your bid. What will you bid and what does that bid show?

So the auction was:

YOU!	Your Left Hand Opponent	Partner	Your Right Hand Opponent
1♣	1♦	Double	Pass
???

With a minimum opening hand (and a fit!) bid just 1 of your four card major. This should show up to a bad 16 points.
With a medium opening hand (and a fit!) jump to 2 of your four card major. This should show a really good 16 points to 18 points.
With a maximum opening hand (and a fit!) bid 4 of your four card major. This should show at least 19 points.

(Remember to count Dummy points!)

Hand 1

♠85
♥Q752
♦K76
♣AKQ4



Hand 2

♠J842
♥A5
♦Q2
♣AK972



Hand 3

♠AJ97
♥KQ9
♦J
♣AQ863



Hand 4

♠AK2
♥KT65
♦5
♣AQ842



Hand 5

♠K5
♥AQ52
♦A54
♣AQ74



Hand 6

♠Q9
♥KQT5
♦872
♣AK75



Hand 7

♠A976
♥A76
♦6
♣KQJ72



Hand 8

♠J87
♥KQ52
♦Q
♣AK643



Hand 9

♠AK74
♥A73
♦T2
♣Q543



Hand 10

♠73
♥AKT8
♦T76
♣AQT5



Hand 11

♠Q6
♥AQT6
♦J4
♣AJT53



Hand 12

♠AT9
♥AT82
♦J4
♣KJT6



Hand 13

♠AKT9
♥86
♦953
♣AK54



Hand 14

♠4
♥AJ96
♦T9
♣AKQ764



Hand 15

♠KT82
♥T98
♦AK
♣K642



Hand 16

♠A82
♥K842
♦J
♣KQ952



Hand 17

♠AQT3
♥K74
♦8
♣AKJ83



Hand 18

♠K42
♥JT43
♦Q4
♣AKJ8



Hand 19

♠AK2
♥AJ52
♦4
♣QT976



Hand 20

♠AJ85
♥852
♦
♣AKQ432



Hand 21

♠K5
♥KJ43
♦64
♣AK842



Hand 22

♠8
♥AQ64
♦AJ4
♣AJ843



Hand 23

♠A53
♥KQ72
♦6
♣AKQT2



Hand 24

♠A876
♥QJ2
♦9
♣AQ985



Hand 25

♠87
♥KQT5
♦JT4
♣AK85



Hand 26

♠KQJ8
♥K83
♦
♣KJT832



Hand 27

♠AJ95
♥AK4
♦9
♣KT976