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1-- Slam after Slam with Force Point The new Explicit Bridge Bidding By Mr. Pavel Boev

2 THE BOLGAR FORCE POINT CLUB SLAM AFTER SLAM WITH FORCE POINT The New Explicit Bridge Bidding With Force Point Bidding, you will see your partner‘s length of the suits and the TOP Honors transparently through the back of the closed hand. You will appreciate this 36 years of research on Double Dummy Bidding, which will allow you to play consistently with the best bridge players! START CLIMBING ! NOTE: I strongly suggest reading the e-Book by viewing 2 pages simultaneously on one screen; otherwise, you won’t be able to check the game’s diagram & the bids’ explanation simultaneously! No more Quick Tricks nor 4, 3, 2, 1 in the Aquarius Era! The book is dedicated to Alex

SLAM AFTER SLAM WITH FORCE POINT What the Force Point bridge system is all about 1. The Force Points Counting is fast, easy, explicit, and very accurate. 2. Using the SCOR - SCOR Convention and the special Bidding Mechanisms will allow you to discover the exact distribution with balanced, mono-color, or any 5+/5+ bi-color, are original and effective. 3. Checking for the exact game's Play Level (PL) ensures all contracts. 4. Finding the exact number of all TOP Honors with one question - one answer saves a huge bidding space. 5. Discovering the exact shape & colors of the important TOP Honors (the Kings, the Queens and the Aces, especially if you have a Void) will allow you to discover all Small & Grand Slams, even with 18 HCP in both hands! 6. For any questions, use the US-based phone number: +1 - (718) - 66 - FIT IN or +1- (718) - 663 - 4846 Around the world, use easy for remembering Toll- FREE phone number: +1- (844) - JIDAI 2B or +1- (844) - 543 - 2422

- 4 - TABLE OFCONTENTS Introduction.......................................................12 TheAbbreviations Fp Uses.................................15 Force Point Counting......................................... 18 Adjustments ……………………….….. ….;......21 The Simple Theory............................................. 26 Control Points (the Controls), CP & Equivalent Queens (EQ).................................. 27 Table - Chart for Transferring B# to HCP …33 The Bidding Mechanism.....................................35 Showing low or high range after the. Opponent’s 1st Overcall...................................... 37 The Simple Trick of using 2 NT bid in Modified Stayman.................................... 41 FindYour Partner’s real Queens without asking for them....................................43 & 80 SCOR – SCOR answers by steps.................... 44 CPA (Control PointsAsking).............................49 SCOR Asking for the Colors of the TOPHonors....................................................52 What are the Equivalent Queens (EQ) and where are they hidden?................................ 54 Some important discoveries that you better know.................................................. 70 Rules for using DBL & Overcalls with an unbalanced hand in 2nd seat............ 75 How to find out if your partner has a Singleton King...................................................77 How to Calculate the Number of Partner’s CPand EQ.................................82 Backward Check of Your Partner’s Previously

- 5 - Backward Check of Your Partner’s Previously Declared B#...........................................................84 The Conjunction Between the Base Number (B#) and Control Points (CP).........................89 Fp Requirements for Making a Slam................... 93 Force Point 1NT/1 Dynamic Bidding Mechanism...................................................102 SCOR - SCOR Convention................................ 106 The Meaning of the Extended SCOR Convention........................................ 113 & 218 1♦ Opening......................................................... 123 Force Point (Fp) Formulas............................... 142 Distributions and Side Suits................................ 143 How CP& EQ Change in Dependence of the shape.................................................. 145 1♥ Opening......................................................... 162 Simplified Force Point Counting..................... 171 Fp Penalty Rule of 13.......................................... 172 Fp Counting for Plaers Who Prefer to Use the Classical HCP............................ 177 1♠ Opening......................................................... 197 1♣ Opening - The MostAmbitious Opening Ever............................................... 206 Explanation of Fp Jig......................................... 229 1♣ Opening in 3rd or 4th Positions......................233 How to Calculate CP in Partner's Hand......... 245 1NT Weak Opening B(2 -3).............................. 250 No Trump Contracts - The Most Profitable....... 262 1 NT Opening Based on HCP& Distribution Asking Bid (DAB)......................................265 For Strong NT B(3.5 - 4) Open 1♣................... 277 2NT Opening B(4.5)+.......................................... 278

- 6 - 2♦ Opening - Pseudo Balanced Convention …. 284 Fp Overcalls in any Position................................285 2♣ / 2♥ / 2♠ Openings.......................... 290/ 296 / 306 Find out how many EQ your partner holds depending on the CP step answers.....................317 3♣ / 3♦ / 3♥ / 3♠ Openings ..………..….. 318 - 330 3NT Opening......................................................333 4♣ / 4♦ / 4♥ / 4♠ / 4NT Openings................340 - 345 Overcalls in Dependence on the Vulnerability & the Possession of a Major suit......................... 373 Overcalls with two-suiters (bi-colors).................. 374 Overcalls with any kind of balanced hand...........376 Overcalls in 3rd / 4th seat.....................................377 Overcalls on 3rd & 4th Levels............................ 378 The Exchange Answers.............................386 & 491 Downloading Links............................................. 482 After Opponent’s Barrage Overcall on 3rd Level..........................................................511 Fp Rules for Discovering partner’s EQ............... 514 Summarizing the Fp Bidding Mechanisms......... 517 Theoretical Mathematical Research.................... 520 Explain the bids if you have learned Fp.............. 537 Installing the DEMO Fp Counting program … 558 Summarizing the Fp bridge system.....................564 Force Point System Roadmap.......................... 577 Use it or guard against it. That is your own decision! Visit: http://force-point.com Email to: force-point@force-point.com

- 7 - What more will you need before placing the final contract by 'seeing' through the back of the partner's cards, the length of all suits and where the TOP Honors are? Be sincere, at least with yourself; nothing else! It’s like Double Dummy Bidding, and that's why it is almost perfect. To destroy it, the Opponents must jump to the 4th Level immediately. Here comes t h e " Penalty Rule of 13", an original count for discovering of the Opponents' down tricks. Just learn how to do that. You will need around 6 months to become a Bidding Expert for playing live, or 1 day to start playing the Force Point Bridge System on the Internet by using the separate Sysnotes (System Notes) computer program for fast visual checking of the flowing Fp and most of the Opponents’ bids or disturbing Overcall (when Fp players are Opponents). That program will free up hours of time for youto spend learning the system by reading the book only ! Whether it’s a copy, research, or a personalized offer for a product, you’ll have the ability to receive unique, highly impactful content, allowing you to differentiate this bridge system from the competition. ♠ ♥ ♦ ♣

The great mathematician, high-class bridge player and editor of The Bridge World magazine, Mr. Jeff Rubens said: The Bridge Tournaments are generally lost, not won! ♠ ♥ ♦ ♣ In all you do, practice the art of Bidding, and remember that this is a learning process. Mr. Pavel Boev Copyright © 2016 - 2026 by Mr. Pavel Boev All rights reserved ®

- 9 - No part of any book, e-Book of any format or this PDF file may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, source codes, computer programs, recording, or by any information storage and retrieval system without permission in writing from the copyright owner, obtained through a specific license. ♠ ♥ ♦ ♣ If you want to learn Fp faster and start playing on the Internet immediately, you will need the System Notes (Sysnotes) computer program. To obtain a copy of it, go to: http://force-point.com It is like a book with the most bidding situations of Fp and Opponents' bids, allowing you to go through them by using your mouse. The Sysnotes program will help you when playing on the Internet to choose the bids very quickly and error-free from the start of using the Force Point Bridge System. For help, find Boeff or Pavell in BBO, send an SMS to +1 - (718) - 66 - FIT IN or write to: force-point@force-point.com With the Force Point System, you will be able to discover the exact number of all Aces + Kings + Queens TOP Honors with one question - one answer only! No other bridge system is capable of doing that !

Fp Bidding Developer: Mr. Pavel Boev, with the help for the practical use of the system byFp Team players Mr. Svilen Boev, Mr. AlexanderDulevski, Mr. Milen Markov. Force Point (Fp) Counting will help you count your hand directly in contract tricks (the tricks that are above the initial 6 tricks, which are not counted in the game of bridge). The Fp Counting itself is a new “Low of the Total Tricks,” much better than the old one. The sum of both hands’ contract tricks will give you the game’s Play Level (PL) with exceptional accuracy. No need for evaluations at the time of the initial count, but one of the players, the Quest (the player who will ask his partner to reveal his/her exact shape) will need to apply some Adjustments (if any), when new distribution changes are discovered by the time of the Bidding. When you are the Quest and you have already discovered the partner’s exact shape, you may ask for the exact number of the partner’s contract tricks (Base Numbers, B#). The sum of both partners' B#s will provide you the exact game's PL. If the PL < 5.5 you must decide on the final contract, but if the PL >= 5.5 or the PL>= 5 with 2 FITs, you must use the CPA (Control Points Asking) to discover your partner’s TOP Honors by number and by kind, and later, eventually, their colors, thus securing all Slams !

Before you use CPA, there is one veryimportant thing: Calculate the expected partner's CP byusing the Formulas: CP = 4*B# + 4, 2 EQ with up to 6 card suit CP = 4*B# + 2, 3 EQ with 7 card suit CP = 4*B# - 2, 5 EQ with 8 card suit CP = 4*B# - 6, 7 EQ with 9 card suit Add them to your CP, and if the Total CP (the real & the pseudo) in both hands are less than 30, NEVER use CPA NOTE: There is one exception: When you have 2 FITs or a Super FIT along with 5 by 2 Misfit with 2 or 3 TOP Honors, you may use CPA with Play Level = 5. The calculations are for a 7 grader, so the Fp Bidding proves to be simple arithmetic, not even math! Using SCOR - SCOR Convention for all your Distributional and Control needs will allow you to imagine the exact lengths of your partner's suits. The Control Points Asking (CPA) will allow you to discover all of your partner's TOP Honors (by number and by kind) with one question - one answer and most of the TOP Honors' locations before you decide on the final contract.

It is like seeing transparently through the back of your partner’s cards! You know what Double Dummy Playing is. Now you will have Double Dummy Bidding in your weaponry arsenal ! ♠ ♥ ♦ ♣ INTRODUCTION The purpose of this book is to teach you how to find all possible Slams despite the HCP and the distributions. It is easier to reach a Slam with 28+ HCP, but how many times have you played Slams with 19 to 27 HCP in both hands ? Force Point system will show you how to do that all the time. Nothing almost perfect is easy. The Fp system is not quite easy, although I have tried to make it logical and easier for the most part. The book is for Bridge Bidding only, and it was written by an immigrant without fluent English skills and no help, except from Google & Microsoft Word. The material inside it is priceless, so curb your discontent if you find something strange (I mean illiterate) and read it. In a week (a month with practice), you will be able to feel the full power of this new bridge system! I’ll be satisfied if you can evaluate the new bridge discoveries. I have made it through my 36 years of research. When you are looking for a Slam, if you wish to discover your partner’s TOP Honors with one

- 13 - question – one answer only, and then eventually where they are; you must become acquainted with the Force Point system and penetrate deep into it. If you are unable to concentrate throughout a Tournament, it may be better to completely skip ControlPoints Asking (CPA, the asking for the Controls) and rely only on the game’s Play Level, which will still be enough for good results. You can even calculate your partner’s Controls without asking for them using Fp Formulas, i.e., by the information for the partner’s contract tricks (the B#, the strength). In this book, the slam games not only present the best part of Fp, but also show the whole Fp Bidding Mechanisms & Asking. You do not need to remember the Bidding sequences! Instead, remember the Fp Bidding Mechanisms that follow every Opening or Overcall That’s much easier! When you discover that the game’s Play Level (PL) < 5 (11 total tricks - 6 initial tricks, which are not counted in the game of bridge = 5), it is forbidden to look for a Slam if you do not hold 2 good FITs: one 9+ card Super FIT and one 5 by 2-3 side Misfit or FIT, both with all 3 TOP Honors. Your final contract depends mostly on the PL, which you will recalculate by the time your turn comes if some new distribution revelations appear. In parallel with creating Fp, I started to write down all bids in Sysnotes (System Notes), a separate

Computer program. It is like a book, so a bridge player can go forward, backward, up and down through it tosee in all seats all possible Fp system bids along with most of the Opponents' bids very quickly by using the mouse by the time of playing on the Internet. Sysnotes uses “1NT_over_1.nsf” - a data file, which grew to over 99.9 MB over the years. It is a databank of repeated sequences. The players can see the Bidding Mechanisms & the Asking that Fp uses, but the most important thing is that Sysnotes can be used on the Internet by the time of playing, allowing fast learning of Fp system in a month of practice. Using SCOR-SCOR Convention for all of yourDistribution and Control needs will allow you to see transparently the exact TOP Honors & suits’ lengths of your partner before placing the final contract The system is capable of discovering the number of the partner’s Queens without asking for them The system will also allow you to discover a Singleton King in the partner’s possession without asking for it ! No other bridge system can do that ! In the US use: 1 - (718) - 66 FIT IN +1 - (718) - 663 - 4648 Around the world, use the easy to remember TOLL- FREE phone number : +1- (844) JIDAI 2B or +1- (844) - 543 - 2422

- 15 - The Abbreviation Fp uses The B# (Base Number) is the sum of the contract tricks (the tricks over the initial 6 tricks that are not counted in the game of bridge). Your B# is the sum of your Honors and Distributional holding values minus 2 tricks Both players remove 2 initial tricks. It is proved that 1 trick arises from nowhere (it looks like 1 trick coming from the air; you will always make at least one trick even when you have absolutely nothing in both hands, probably because of your FIT possession). So, 5 tricks are removed, but the 6th one is not, and that makes Fp Counting very aggressive. The Basic suit is your long 5+card suit. The Basic suit is used with SCOR - SCOR Convention to distinguish its length by the lengths of your side suits, thus discovering the exact distribution. If you have a balanced hand (no 5+ card suit, no Void) or a bi-color, you do not have a Basic suit and SCOR - SCOR cannot be used. B(2.5)+ means Base Number (the hand’s strength) of 2.5 contract tricks or more; B3+ means Base Number of 3 contract tricks or more.

- 16 - PL (Play Level) is the level at which you intend to play (after the Adjustments), which depends on Distribution and Honors held in both hands. Initial PL = sum of both partners' B# (before the Adjustments, if any). The minimum Play Level is the PL you discover when your partner reveals his minimum B# by the Opening or the Overcall bid. You have to adjust it when new information about Distribution and Honor holdings appears. CPA (Control Points Asking) is a unique asking for TOP Honors showing simultaneously all of the partner’s TOP Honors (A + K + Q) by number and by kind using 1 question – 1 answer only! CP (Control Points) are the value of your Controls: Ace = 6 CP, King = 4 CP, Singleton = 4 CP, Void = 6 or 10 CP (10 when the Quest is absolutely sure that there is not an opposite duplication with a real Control in the same suit) Equivalent Queens (EQ) – all that counts for 0.5 contract tricks are EQ: a real Queen, a Void, a Singleton, any 7th and upper cards in a long suit, and so on… The sign ‘!’ – indicates Forcing Relay by the Interrogator (the Quest). For example: 1♥! = Relay! bid. It can be any bounding bid used by the Quest (even Pass – Relay!) with opponents interfering after at least one active Relay by the Quest appears before it.

- 17 - Ex Relay! – Exceptional Relay in the Opponents' suits (4♥ /4♠ bids & any bid on 6th Level are Absolute Signoff, but you could use them like Relays if the Opponents used any of them to bid the suit naturally oryour PL >= 5.5). 3NT bid is an Absolute Signoff also, but the Quest can use it for an Ex-Relay when both partners are absolutely sure that the PL > 5 V / 2S = Void or 2 Singletons S / V = Singleton or Void Board 1 ♠ ♥ ♦ ♣

- 18 - Force Point (Fp) Counting Your Base Number (B#) is the strength of your hand in contract tricks (the tricks above the first 6 tricks, which are not counted in the game of bridge) B# = all contract tricks minus 2 Ace = 1.5 Singleton Ace = 2 King = 1 Singleton King = 0.5 Queen = Singleton Queen = 0.5 Any other Singleton = 0.5 Void = 0.5 Long 7+ card suit = 0.5*(n - 6), "n" = cards' number 6+/5+ bi-color = 0.5*(m - 10), "m" = cards' number NOTE: Learn to count visually: Find an Ace + a Queen or 2 Kings and do not count them (so, you will not need to subtract 2 at the end). Count only the rest. The game's Play Level (PL) is the sum of both partners' Base Numbers (B#) The Control Points (CP) are the values of Controls you have. The values of the real Controls are: King = 4 CP, Ace = 6 CP. The values of the pseudo Controls are: Singleton = 4 CP, Void = 6 CP (10 CP when you do not have any TOP Honor opposite in the same suit) Equivalent Queens (EQ) are all values that count for 0.5 !

Force Point Explicit Counting Singleton Ace = 2 contract tricks (1.5 for the Ace + 0.5 for the Singleton) Ace = 1.5 King = 1.0 Singleton King = 0.5 !! NOTE: If you discover an Ace opposite the Singleton King, raise it to 1.0 Queen = 0.5 Any other Singleton (including the Queen) = 0.5 NOTE: Do not duplicate the count of the Singleton Queen. Fp do NOT scan the Singleton Queens at all !! Void = 0.5 !! For KQJx+ in а side suit (not in the Trump) add 0.5 For any 7222 add 0.5 for the 3 doubletons in addition to 0.5 for the 7th card in the long suit For 7 card suit add 0.5 For 8 card suit add 1.0 (for the 7th & 8th cards) For 9 card suit add 1.5 (for the 7th, 8th, 9th cards) For 10 card suit add 2.0 and so on … The Formula for the long suit is: 0.5*(n - 6), where ‘n‘ is the sum ofthe cards in the long suit.

For 6/5 bi-color add 0.5 For 5/7 or 6/6 bi-color add 1.0 For 7/6 bi-color add 1.5 For 8/5 bi-color add 2.0 and so on …. With a bi-color the Formula is: 0.5*(m - 10),where ‘m‘ is the sum of the cards in both bi-color suits. NOTE: Do not duplicate the count of the 7+ card suit by counting it separately from the bi-color ! Subtract 0.5 when you do not have any Honors in your 5+ card suit &you are the Quest (the player who uses Relays to investigate your partner’s hand). Do NOT do that when you have any6+/5+ bi-color ! ♠ ♥ ♦ ♣

Adjustments Do not make any Positive Adjustment for 1 by 8+ Trumps ! The Positive Adjustments Add 0.25* (force*point) for 4 Aces (in one or both hands) Add 0.25* (force*point) for AQJT+ (not in Trump) Add 0.25* (force*point) for Ax + Ax Add 0.5 for your 9 card Super FIT or for 9 card Super FIT in your Opponents’ hands ! Add 0.5 for 10 card Super FIT if you do NOT have an Honor in the short Trumps or when your Super FIT consists of 5 by 5 cards or when it is 8 by 2 cards ! Add 1.0 for any 6 by 4 or 7 by 3 card Super FIT ifyou have an Honor in the short Trump suit or for 10 card Super FIT in your Opponents’ hands ! Do NOT add anything for any 11+ card Super FIT if you have AK in that suit (in one hand or in both hands). Add 1.5 for any 11+ card Super FIT (if both hands)but only if you have a 6+/5+ bi-color ! Immediately add 0.5 to your B# on the fly by thetime of the Bidding, when any of the

opponents bid your Singleton or Void (do not duplicate it later if you discover that this is a "good" Singleton or a "good" Void). Add 0.5 for any Singleton opposite Axxx suit (no other TOP Honors) or for a FIT in Opponents’ hands if you have a Singleton / Void in that suit ! Add 1.0 pt for any Singleton opposite Ax(x) !! (no other TOP Honors) or for a Super FIT in Opponents’ hands if you have a Singleton / Void in that suit ! Do not add anything for any Singleton opposite any Axxxx+ suit Add 0.5 for a Void opposite xx(xx) empty suit (‘x’ up to Jack) or for a Super FIT in Opponents’ hands if you have a Void in that suit ! Do not add anything for a Void opposite any Axx xxx+ suit Add 0.5 for 6 by 2 FIT in a side suit with the 2 Controls (not in the Trump) Add 0.5 for the 3 TOP Honors (AKQ) in a side 5 by 2 or 4 by 3 Misfits suits, even 4 by 2 cards with all 4 Honors (not in the Trump) Add 0.5 for KQJx+ in а side suit (not in the Trump) Add 1.0 for KQJTx+ in а side suit (not in the Trump) side suit (not in theAdd 1.0 for AKQxx(xx) in a Trump, in both hands)

- 23 - Add 1.0 for a Singleton Кing opposite АQx+ (0.5for the King +1.0 for the 3 TOP Honors). Do not add anything for a Singleton ’x’ opposite АQx+ Add 1.5 for 5 card AKQJT side suit (not in the Trump, in one hand) The Negative Adjustments For NT contracts: Subtract 0.5 for more than 3 Positive Adjustments. Do not do that for NT contracts ! Subtract 0.5 if you do NOT have 5 by 3 or better FIT NOTE: Never play 3 NT contract with 2 by 2 in a suit with only 1 TOP Honor !! For suit contracts: If you have chosen a Misfit for a Trump, your PL with Majors will go 0.5 down (except with 5 by 2 Misfit with at least 1 TOP Honor between the 2 cards), but with Minors your PL will go 1 Down. For any 6 card suit opposite a Void, your PL will go 1 Down, so subtract 1.0 (do not duplicate if there is a King) For any 7 card suit opposite a Void, your PL will go 0.5 Down, so subtract 0.5 (do not duplicate if there is a King)

- 24 - Subtract 1.0 for any King opposite a Void or a Singleton (“bad” Void or "bad" Singleton) except in the Trump suit. Subtract 0.5 for any King + Ace opposite a Singleton ("semi-bad" Singleton) except in the Trump suit. Subtract 0.5 when you have a Singleton or a Void opposite a Singleton or a Void. For an Ace opposite a Singleton do not make any Adjustments ! Your Trump Play Level is equal to your NT Play Level, but only if you have any 5 by 3 or better FIT (4 by 4 FIT will not help you !). If you do not have such FIT, your NT PL will be 1 below your suit PL. Subtract 0.5 for any Ace + Queen opposite a Void ("semi-bad" Void) Subtract 0.5 for any 2 Mirror suits (especially when you have only one FIT) if there are not 2 TOP Honors in the suit !! NOTE: The Mirror suits are: 2 by 2 / 2 by 3 / 3 by 3 / 3 by 4 Subtract 1.0 for full Mirror hands despite the TOP Honors in the suits ! For any contract: Subtract 0.5 when the difference of the partners'

- 25 - Base Numbers is >= 5.5 (it works with Negative Bases too). Subtract 0.5 when the Aces in your hand are more than your Kings and no Queen. Do not do that when you have only 1 Ace ! ♠ ♥ ♦ ♣ More Negative Adjustments For 5 by 2 Trump Misfit in Minors, downgrade your PL by 1.0 For 5 by 2 Trump Misfit in Majors, if you do not have a TOP Honor in the 2 card Trump suit, downgrade your PL by 1.0 For 5 by 2 Trump Misfit in Majors, if you do have a TOP Honor in the 2 card Trump suit, downgrade your PL by 0.5 Be aware to apply the Negative MIRROR Adjustments with 2 balanced or ambiguously balanced hands (hands that consist of 5+ card suit but not V / S) Some ambitious bridge players, mostly mathematicians, have made Bridge Hand Evaluators, some of them very good, but a few of them have connected it to a newly created Bidding System, because it is hugely time-consuming ! It is not easy to create a successful Bidding without any gaps, accommodating all possible distributions!

- 26 - Fortunately, you already have both: the Fp Explicit Hand Evaluation Counting and the Fp Bidding System, but do not forget: The Playing is your own responsibility! ♠ ♥ ♦ ♣ The Simple Theory The Bidding space is divided by Bases. Each Base consists of 0.5 points and has a number, so the B# shows the hand’s strength. The sum of both partners' B# will supply the game’s Play Level (PL) before the Adjustments (if any). Find Your Base Number (B#, the contract tricks, your exact strength) B# = the sum of Honor & Distribution points minus 2.0 To find your PL (Play Level) for the FIT suit, use the sum of both partners' B#s. Your NT PL = your suit PL if you have a 5 by 3 (or better length) FIT (4 by 4 won’t help!), if you do not have a Void or a Singleton. In any other cases, your NT's PL is lower (usually by 1) than your suit's PL. When your partner discovers your exact

- 27 - distribution using the SCOR - SCOR convention (which simultaneously shows the exact length of your Basic suit along with your side suits) and on the next Relay your exact shape, your partner may ask you for your exact B#. Answer by steps. Your 1st step answer must show your initial B# shown by the Opening bid. For any of the next steps, you must show a higher B# in 0.5 increments. The SCOR – SCOR answers are by steps. ♠ ♥ ♦ ♣ Control Points (The Controls), CP & EQ (the Equivalents Queens) Ace = Void = 6 CP (when opposite the Void there isn’t any Control it can be counted as 10 CP) King = Singleton = 4 CP NOTE: The Void must be counted as 10 CP (when you are sure that it is opposite an empty of TOP Honors suit). Also, when asked for CP, show only your real CP if your partner is aware of your exact distribution. For a hand with up to 6 card suit or 5/5 bi-color The Formula for the 1st step CP answer is:

- 28 - CP = 4*B#, along with 4 EQ The 2nd step shows CP = 4*B# + 2 along with 3 EQ The 3rd step shows CP = 4*B# + 4 along with 2 EQ The 4th step shows CP = 4*B# + 6 along with 1 EQ The 5th step shows CP = 4*B# + 8, no EQ (no S / V) If you cannot ask your partner for CP, but you know the partner’s B#, statistically, you may expect your partner to have CP equal to the 3rd step answer, i.e., Expected CP = 4*B# + 4 along with 2 EQ For a hand with a 7 card suit or 6/5 bi-color The Formula for the 1st step CP answer changes to: CP = 4*B# - 2, along with 5 EQ The 2nd step shows CP = 4*B# +- 0 along with 4 EQ The 3rd step shows CP = 4*B# + 2 along with 3 EQ The 4th step shows CP = 4*B# + 4 along with 2 EQ The 5th step shows CP = 4*B# + 8 along with 1 EQ If you cannot ask your partner for CP, but you know the partner’s B#, statistically, you may expect your partner to have CP equal to the 2nd step answer with 7 card suit, i.e., Expected CP = 4*B# along with 4 EQ

For a hand with an 8 card suit or 6/5 or 7/5 bi- color The Formula for the 1st step CP answer changes to: CP = 4*B# - 4, along with 6 EQ The 2nd step shows CP = 4*B# - 2 along with 5 EQ The 3rd step shows CP = 4*B# +- 0 along with 4 EQ The 4th step shows CP = 4*B# + 2 along with 3 EQ The 5th step shows CP = 4*B# + 4 along with 2 EQ If you cannot ask your partner for CP, but you know the partner’s B#, statistically, you may expect your partner to have CP equal to the 1st step answer with 8 card suit, i.e., Expected CP = 4*B# - 4 along with 6 EQ In all cases, for any of the next step answers, raise the CP by 2 and lower the EQ by 1. That way, you will discover the exact number of your partner's TOP Honors by number & kind with 1 question - 1 answer only ! No other bridge system in the world can do it! ♠ ♥ ♦ ♣

Formulas for discovering the maximum number of Equivalent Queens (EQ) for the 1st step CP answer with a monocolor or a bi-color suits NOTE: EQ = everything that counts as 0.5 The maximum number of EQ for the 1st step answer for CP with a monocolor suit is : x - 2, where 'x' is the number of the cards in the monocolor suit (important to remember). For example: Suppose you hold up to 6 card suit and the Quest asks you for CP. Your 1st step CP answer is: CP = 4*B# alongwith (6 - 2) = 4 EQ. If you have 7 card suit, your 1st step CP answer is: CP =4*B# - 2 along with (7 - 2) = 5 EQ If you have 8 card suit, your 1st step CP answer is: CP =4*B# - 4 along with (8 - 2) = 6 EQ If you have 9 card suit, your 1st step CP answer is: CP =4*B# - 6 along with (9 - 2) = 7 EQ The maximum number of EQ for the 1st step answer for CP with bi-color is: m - 6, where "m" is the sum of the cards in both bi-color suits (important to remember). For example: Suppose you hold 6/5 bi-color and the Quest asks you for CP. Your 1st step answer for CP = 4*B# - 2 along with (11 - 6) = 5 EQ. If you have 6/6 or 7/5 bi-color, your 1st step answer for CP = 4*B# - 4 along with (12 - 6) = 6 EQ

If you have 7/6 or 8/5 bi-color, your 1st step answer for CP = 4*B# - 6 along with (13 - 6) = 7 EQ ♠ ♥ ♦ ♣ Some things from the practice To make 3 NT you will need PL >= 4 & 22+ CP. You may try it with B(3.5) & 5 by 3 or better FIT (4 by 4 FIT will not help) To make 4 HE or 4 SP, you will need PL = 3.5 or PL >= 4.5 & 24+ CP Important NOTE: NEVER play 4 HE or 4 SP with an exact Play Level (PL) = 4 if you do not have a Singleton or a Void; play 3NT instead ! That area is the Fp Bermuda Triangle and your contract will sink !! To make 5 CL or 5 DI, you will need PL >= 5.0 & 28+ CP. REMEMBER: minimum 28 CP ! To make a small SLAM in a suit, you must have PL >= 6.0 & 32+ CP To make a small SLAM in NT, you must have PL >= 5.5 ! & 34+ CP NOTE: Never play a SLAM with PL= 6 & 30 CP only ! NOTE: A small SLAM is possible even with 30

CP when you have a side card suit with all 3 TOP Honors or 2 good FITs or if you have 1 good FIT along with 9+ Trumps Super FIT with both Controls. To make a GRAND SLAM, you must strictly have PL >= 7.5 & 36 or 40 CP (not 38 which are physically impossible and must be lowered immediately to 34 CP !) . If your partner asks you directly for your Controls (before asking you for your exact B#) use the Formula to calculate it: B# = any CP / 4 – 1, where any CP = real + pseudo CP ♠ ♥ ♦ ♣

- 33 - TABLE - CHART FOR TRANSFERRING THE BASE NUMBERS TO HCP & VISE VERSA The Table below shows the approximation between HCP and the Fp B#s (courtesy of Mr. Aleksander Dulevski). It is useful only when you play NT Contract ! Notice the arithmetical HCP progression by rising with 3 HCP for every 1.0 Fp count, to for easier remembering ! B# .... HCP .......... B# ... HCP .......... B# ... HCP -1.5 = ~ 3 ...............1.5 = ~12............... 4.5 = ~21 -1.0 = ~ 4 ...............2.0 = ~13............... 5.0 = ~22 -0.5 = ~ 6 .............. 2.5 = ~15............... 5.5 = ~24 0 = ~ 7 .............. 3.0 = ~16............... 6.0 = ~25 0.5 = ~ 9 .............. 3.5 = ~18............... 6.5 = ~27 1.0 = ~ 10 ........…. 4.0 = ~19............... 7.0 = ~28 NOTE: The HCP shown are for balanced hands (no 5 card suit, no Singleton by Fp requirements). If you persist in knowing your HCP for mild to ambiguous unbalanced hands, expect 1 HCP less than the shown HCP. With more unbalanced hands, expect 2-3 HCP less than the shown HCP. Remember that B# = 1.0 ~ 10 HCP for balanced hands (no 5 card suit, no Singleton by Fp requirements) & B# = 1.0 ~ 9 HCP for unbalanced hands to be able to find the HCP very fast for any B#.

At http://force-point.com you can obtain the complete Fp set for $26.10 (respectively x2, x3 or x4 for Teams of 4, 6 or 8 players) via PayPal (tax included, no hidden fees) The Fp set for a TEAM of 4 comes with: 4 PDF eBooks for the Fp Bidding System ’Slam after Slam with Force Point’- the latest 7th final updated edition. 4 digital versions of the book - the Sysnotes computer program for use by the time you play live or on the Internet. 4 licenses for using Fp in International Tournaments along with a l i f e t i m e free upgrade from Google Drive of the Sysnotes data file, which consists of almost all possible Fp bidding sequences. The cost is $6.52 per a player for a total of $26.10 The data file is now 99.9 MB & in my opinion ,it has reached 99% of the necessary fulfillment. https://www.facebook.com/groups/1133524473730926 Search by Google: force-point-system@force-point-bridge.com ♠ ♥ ♦ ♣ 34

- 35 - Fp Bidding Mechanism Fp uses contract tricks in both hands (the tricks over the initial 6 tricks that are not counted in the game of bridge) to find the game’s Play Level (PL) with high accuracy. We call the player’s contract tricks Base Number (B#). The sum of both hands' B#s supplies the game’s Play Level (PL) for the FIT suit after no more than 3 Negative & 2 Positive Adjustments (if any at all). You will find some repeated explanations that are made intentionally for easier memorization. Use the Opening bid to show the range of your B# (contract trick) and the overall shape (balanced or pseudo-balanced, a 5+ card suit or a bi– color). When you have any 5+ card Basic suit, your partner uses Relays to discover your exact distribution. A bounding bid (including DBL /RDBL, even a Pass - Relay) can also be used by the Quest asking for answers by SCOR – SCOR Convention: The first 3 steps answer for 5 or 7 cards of Basic suit with SHAPE, COLOR or RANK side suits respectively (on the next Relay you will be able to show the exact length of your Basic suit along with your 2nd longest suit, which will reveal your exact distribution, except if you use the 1st step answer, which is reserved for 7 card Basic suit suit). The next 3 steps are for 6 or 8 cards of the Basic suit with SHAPE, COLOR or RANK side suits, respectively. On the next Relay you will be able

- 36 - to show the exact length of your Basic suit, along with your 2nd longest suit, which will reveal your exact distribution to your partner, except if you use the 1st step answer, which is reserved for 6 or 8 card suits with a Void or S+V). Pay attention that with any 6, 7 or 8 card Basic suits, after you have shown your SHAPE or COLOR side suits (and the Quest uses a new Relay), the 1st step answer is ALWAYS reserved for a Void or S+V & one more Relay must be used to reveal the exact distribution (shape). If you showed B(3.5)+ strength along with RANK side suits, by using exactly the 6th step of SCOR-SCOR, you will directly show that you have a Void or S+V (Singleton + Void) suits. If a new Relay appears, you may show your 2nd longest suit (the exact shape) naturally or semi- naturally. If you hold below B(3.5) strength, using the 6th step of SCOR-SCOR shows 6 or 8 card Basic suits only (a waiting bid), and on a new Relay, the 1st step answer, as usual, is reserved for a Void or S+V, so, one more Relay must be used to reveal the exact distribution (shape). NOTE: When you have 6 or 8 card Basic suit + RANK side suits, no Void and you are strong (B# = 3.5 - 4) or the Quest proved strong, on the SCOR – SCOR Relay, JUMP (over the 6th step) directly into your 2nd longest suit, thus showing your exact shape immediately, thereby entering the Extended SCOR area. After the Quest has already discovered your

- 37 - exact distribution and a new Relay appears: it is for the exact B#. The answers are by steps: The 1st step answer confirms your minimum B# already shown by the Opening, and any of the next steps increases it by 0.5 for a step. After that, if a new Relay appears by the Quest, it is a Control Points Asking (CPA). The answers are by steps: The 1st step answer for CP = 4*B# - N, where ‘N’ is the appropriate coefficient depending of the length of your longest suit / bi-color: - With up to 6 card suit or 5/5 bi-color N = 0 - With 7 card suit or 6/5 bi-color N = 2 - With 8 card suit or 6/6 or 7/5 bi-color N = 4 - With 9 card suit or 7/6 or 8/5 bi-color N = 6 ♠ ♥ ♦ ♣ Showing low B(2 – 2.5) or high B(3 - 4) ranges after the Opponent’s Overcall When the Opponent interferes after your Opening, the Quest will use DBL/ RDBL for a Relay: You (the Opener) must show either the lower B# strength range of B(2 – 2.5), by using the bidding bid (the 1st bid next over the last bid or use the next bids to show the higher B# strength range of B(3 – 4), along with the side suits and the length of your Basic

- 38 - suit by using the SCOR - SCOR Convention. After showing your side suits with 5 or 7 card Basic suit: When the partner uses the 1st Relay! (which can be th e bounding bid or bid of Pass for a Relay used in cases when opponents interfere) you always MUST show your side suits by SCOR - SCOR Convention. On the 2nd Relay, your partner will ask you to show your 2nd longest suit naturally, thus revealing your exact distribution. B U T DO NOT forget that the 1st step answer is ALWAYS reserved for a 7 card Basic suit. Use the next 5 step answers to show your exact shape of any5 card Basic suit: 5134, 5143, 5233, 5422 or 5044 IAfter showing your side suits, if you have used the 1st step answer for 7 card Basic suit, on a new Relay, the 1st step answer is again reserved, this time for any 7042 or 7024 shapes. The next step answers will show your exact distributions of any 7123, 7132, 7411 or 7033 shapes (use NT bid for it) shapes by showing your 2nd longest suit or 7222 shape (always use the bid in the Basic suit for it). ♠ ♥ ♦ ♣

After showing your side suits with 6 or 8 card Basic suit: Your partner may use a Relay asking you to show your 2nd longest suit naturally, thus revealing your exact distribution. B U T DO NOT forget that the 1st step answer is ALWAYS reserved for a 6 or 8 card Basic suit with a Void or S+V. Use the next 5 step answers to show any of 6241,6421, 6223, 6331, 8113 shapes, thus revealing your 2nd longest suit (respectively your exact shape) and the next answers will be for 8221 shape in dependence on your B#. If you have used the 1st step answer for 6 or 8 card Basic suit, on a new Relay show your exact distributions of any 6043 / 6034 / 8032 / 8023 / 8014 / 8041 shapes. With 5 card Basic suit, when you do not have 2nd longest suit (for example, with any 5332 distributions), you must bid your Basic suit using NT bid (which appears earlier) to show exactly 3 by 3 in the side suits(except for the ♣ Basic suit because NT and ♣ suit are neighbors) ! Also, ALWAYS use 3 NT bid with any 5332 shape ! With 6 or 7 card Basic suit, when you do not have 2nd longest suit (for example, any 3632 or any 3370 shapes) ALWAYS use NT bid to show exactly 3 by 3 in the side suits. 3NT bid by the Quest (Interrogator) usually is an Absolute Sign Off, but it can be used like a Relay in cases when both partners are absolutely

♠ ♥ ♦ ♣ sure that the minimum game's Play Level (PL) > 5 (which is easy to know with Fp) or after Opening on 3rd level with 6+/5+ bi-colors. 4♥ & 4♠ bids are usually Absolute Signoff bids as well, but they can be used like Relays if the Opponent(s) use them naturally or when you are absolutely sure that your partner has a Void or a Singleton in that suit. ♠ ♥ ♦ ♣ If the Quest has discovered PL >= 5.5, the Control Point Asking (CPA) is mandatory. Before using the CPA, the Quest must calculate the partner’s expected CP using the Formulas: - With up to 6 card suit: CP = 4*B# + 4 - With 7 card suit: CP = 4*B# + 2 With 8 card suit: CP = 4*B# to find the expected CP in the partner’s hand and the total expected CP in both hands, respectively. If they are max 30 CP, the Quest will not use CPA if there are not a 9+ Trump Super FIT + a 2nd Fit). With the calculated CP >= 32, the Quest must use the CPA ! With a PL < 5.5 and max 30 CP, the Quest must use a Signoff bid for the Final contract.

- 41 - The Simple Trick of using 2 NT bid in Modified Stayman clarifies the Opening range with balanced hands ! After 1NT weak Opening in 1st seat (with B# from 2 to 3, balanced, no 5+ card suit, no S / V or after 1♣ Opening in the 1st seat – 1♥! (Relay) - 1NT strong (with B# from 3.5 to 4, balanced, no 5+ card suit, and no S / V) or after 1♣ Opening in 3rd / 4th seat, when the partner responds by showing B(1.0 to 1.5) / any 4441, balanced or pseudo-balanced, no 5+ card suit, and no Void) The Bidding Mechanism usually allows the Quest to discover the exact partner’s shape and strength up to 3NT level with a clever trick by using 2NT bid (Modified Stayman) for: - eliminating the minimum B# of 2.0 to 2.5 (after 1NT weak Opening) - eliminating the minimum B# of 3.5 (after 1♣ – 1♥! (Relay) - 1NT = B(3.5 - 4), strong balanced hand - eliminating the minimum B# of 1.0 (after responding with 1NT = B(1 - 1.5), b a l a n c e d / any 4441 to 1♣ partner’s Opening in 3rd or 4th seat).. In this case, Fp uses the conjunction between HCP and B# to secure 3NT contract. You can find the important chart of the connection between

♠ ♥ ♦ ♣ HCP & the B#s in the "No Trump Contracts - The Most Profitable" chapter of this Book. With 5 to 7 card Basic suit, after the partner’s Relay, remember that the 1st step answer (the bounding bid) is reserved for 7 card Basic suit. Use the next 5 steps to show your 2nd longest suit (the exact shape) with 5 card Basic suit Use the NT bid to show any 5332 or any 5440 distributions (which come earlier; see Sysnotes computer program). With 6 or 8 card suits, after a Relay, with SHAPE or COLOR side suits, the 1st step answer (the bounding bid) is reserved for a Void or Singleton + Void (S+V). Use the next 5 steps to show your 2nd longest suit (the exact shape) with 6 card Basic suit (use the NT bid to show an ambiguous balance of any 6223 shape). In both cases, if you used the 1st step answer showing 7 card Basic suit, or a 6 or 8 card Basic suit, on the next Relay, show your 2nd longest suit (the exact shape) naturally or semi-naturally. Your partner (the Quest), who knows your exact B# and your exact distribution, will use the appropriate Formula depending on the length of your longer suit / bi-color to calculate your 1st step answer for CP. Then, the Quest will add 2 CP for every step (after the 1st step) you use to find the Total of your CP.

- 43 - Find your partner’s real Queens without asking for them Paying attention to how many steps you have used to answer for CP, the Quest will find the number of your Queens without asking for them: With 5 or 6 card Basic suit, no Void or with 5/5 bi-color, the 1st step answer will show 4 EQ, the 2nd step answer will show 3 EQ and so on ... When the Opponents do not interfere, using Fp SCOR Convention, an elegant & easy way to show your exact distribution up to 3NT with any 5- 6 card Basic suit or up to 4th Level with any 7-8 card Basic suit will provide more than enough free bidding space for the Quest to ask for the partner’s exact B#, thus discovering the exact Game's Play Level (PL). On a new Relay, the Quest will discover the partner's CP (Control Points) along with the number of the Queens (without asking for them, because there is a strong connection between the B#, Controls and the number of the Queens).. After that, the Quest may ask for the suits of the TOP Honors! This will allow you to imagine the exact partner's distribution and where the TOP Honors are, as if you could see through the back of your partner's cards!

It is like Double Dummy Bidding before you decide on the final contract ! The Fp Bidding Mechanism may look difficult before you become familiar with SCOR – SCOR Convention, so it is very important to understand it well. Board 2 ♠ ♥ ♦ ♣ SCOR – SCOR answers by steps After 1♣ Opening - 1♥ Relay! - 1♠ = strong B(4.5)+, any shape (not a SCOR answer) 1NT = strong B(3.5 – 4), balanced (not a SCOR answer)

- 45 - NOTE: The above 2 bids are not SCOR – SCOR answers. They are for strong hands only (any shape or balanced, respectively) & are used only after 1♣ Opening. 2♣ = the 1st step answer by SCOR - SCOR with B(2 - 4) which will show 5 or 7 card ♣ Basic suit + SHAPE side suits or any 2227 shape. A new Relay will ask for 7 cards in the Basic suit or for the exact shape with 5 card Basic suit + SHAPE side suits. 2♦ = the 2nd step answer will show 5 or 7 cards in ♣ Basic suit + COLOR side suits. A new Relay will be needed to show 7 cards in the Basic suit or for the exact shape with 5 card Basic suit + COLOR side suits. 2♥ = the 3rd step answer will show 5 or 7 cards in ♣ Basic suit + RANK side suits, and the next Relays will be for 7 cards in the Basic suit or for the exact shape with 5 card Basic suit + RANK side suits. The next 4th & 5th step answers will show 6 or 8 card ♣ Basic suit with SHAPE or COLOR side suits, respectively (on a new Relay the 1st step answer is reserved for 6 or 8 card Basic suit with a Void or S+V and the next steps are for the 2nd longest suit, thus revealing the exact distribution. After the 1st step, one more Relay will be needed to show the exact shape. The 6th step answer will also show 6 or 8 cards of ♣ Basic suit, but this time with RANK side suits + Void or S+V (on a new Relay the Opener will show the 2nd longest suit, thus revealing the exact distribution). NOTE: If the strength B(2 – 4) of the Opener is not clarified yet or it is B(2 – 3) , do not go over the 6th

- 46 - step answer which is for 6 or 8 cards of the Basic suit + RANK (waiting bid !). On a new Relay the Opener will show the 2nd longest suit, thus revealing the exact shape (except for the 1st step, which is reserved for 6 or 8, RANK + Void or S+V). If the Opener already proven strong with B# >= 3.5, from the 7th step and up the Opener will enter the Extended SCOR with a JUMP answer, thus showing directly the 2nd longest suit (the exact shape) with 6 or 8 cards Basic suit + RANK, no Void ! The last steps of the answers will always show 8 cards Basic suit with any 8221, but with all different B# corresponding to the strength of the Opener with 0.5 increment. For example: If you are in the range from B3 to B4 there will be 3 last-step answers. The 1st one will show B# = 3, the 2nd one will show B# = 3.5 and the 3rd one will show B# = 4, all of them with the same distribution of the appropriate 2218 shape. After 1♦ Opening & 1♥ Relay, the 1st step answer by SCOR - SCOR Convention showing 5 or 7 cards in the Basic suit will be 1♠. Respectively, after 1♥ Opening & 1♠ Relay it will be 1NT and after 1♠ Opening & 1NT Relay it will be 2♣ After your exact shape is revealed, the Quest may ask you for your exact strength (B#), then for the CP, thus discovering simultaneously your exact number & kind of the TOP Honors (A + K + Q) with one question – one answer only!

To find out how to discover the exact number of your partner's Queens without asking for them, you must read 3 short chapters: 1. What are the Equivalent Queens (EQ) and where are theyhidden? 2. How to find the partner’s real Queens without asking for them? 3. How to calculate the number of the partner’s Control Points (CP) and EQ ? For most players, it will be enough to find the game’s Play Level by calculating the sum of both partners' B#s (contract tricks) based on the knowledge of the partner's B#. By applying the Distributional and Honors Adjustments (if any) you will be able to choose the Final Contract with very high accuracy. Those of you who want to assure the percentage of any Slam (mostly with special distributions and 19+ HCP in both hands & especially for the Grand Slams) will need to penetrate deeper into the Fp system. In such cases, the unique Fp Asking forthe TOP Honors CPA must be used (which, by the way, is better than RKCB because the Quest will discover simultaneously all of the partner's TOP Honors (A + K + Q) by number and by kind with one question – one answer only! No other system will offer you such extras ! It’s easy now, but 36 years for discovering the simple bridge arithmetic now surprises even me. It looks like educated people become blind to the simplest things!

Everything finished successfully when I discovered the strong connection between the hand distribution, the B#, the CP and the EQ. When you know the first 3 of them, there is no need to ask for the 4th one. You will need to discover the exact partner's distribution by using the SCOR- SCOR Convention to be able to apply the Adjustments (if any) for the PL on the fly by the time of the Bidding. Partner’s B# will show to you the game’s PL. When you find a PL >= 5.5, it is mandatory to ask for the partner's CP. When you do that, you will be able to discover how many Queens your partner has without asking for them. Then you may ask for the partner’s Top Honors and to be able to check if all available TOP Honors and their colors are in position for a SLAM. Usually, after the Opponents' barrage, you will calculate the partner’s CP without asking for them, receiving very good results statistically. By the way, Fp usesonly elementary calculations for a 7-grade student. When you plan to go for a GRAND SLAM, asking for the suits of the partner’s Kings & Queens will help you to secure your contract. Any 14-year-old boy or girl who has a gift for Playing, by learning Fp bridge system, can become a high-class Bridge Bidding Expert in 3 months instead of 3 or more years. When you discover your partner’s exact shape and strength, and apply the adjustments (if any), you

have to calculate the final PL. If it is less than 5.5 it isbetter simply to choose the final contract (if you do not have 2 FITs). If the PL >= 5.5, ask your partner for the number of the Controls and even where are the TOP Honors by priority if you want to investigate a GRAND SLAM. The calculations are for a 7 grader, so the difficult decisions in the game of bridge prove to be simple arithmetic, not even math. ♠ ♥ ♦ ♣ CPA (CONTROL POINTS ASKING) The values of your Control Points (CP) are: Ace = 6 CP, King = 4 CP The distributional Controls (pseudo-Controls) arenot shown when you answer for CP, but their values are: Singleton = 4 CP Void = 6 or 10 CP (10 when you are absolutely sure that there is not an opposite duplication with a real Control in the same suit). With 32 to 36 CP in both hands (including the pseudo CP without duplication with real Controls) & a PL = 6 to 7 you will have a Small SLAM. With 36 or 40 CP in both hands (including the pseudo CP without duplication with real Controls) & a PL >= 7.5 you will have a GRAND SLAM.

The missing 38 CP from the chart comes from the fact that 38 CP are not physically available combinationsbetween Aces + Kings. When you discover 38 CP in both hands, it is a strong signal that you have a duplication count of a real Control opposite a pseudo (S / V) Control. When you find you have 38 CP in both hands, you actually have 34 CP, so lower them immediately. To make 3NT you will need PL >= 3 with any 5by 3 FIT (4 by 4 FIT won’t help you) or two 5 by 2 Misfit, along with CP >= 22. If you have only 4 by 4 FIT(s), you will need PL >= 4.5 to make 3NT. NOTE: For 3NT contracts, you must also use the chart for balanced hands in the ‘NT Contracts – The Most Profitable' chapter, which is even better than the explanations above (thanks to Mr. Alexander Dulevsky). REMEMBER: With balanced hands (by Fp Requirements: no 5+ card suit, no Void) to transfer partner's B# to HCP always associate B1 with 10 HCP and B(1.5) with 12 HCP, and add / subtract 3 HCP for any change of the B# with 1.0 up or down, respectively ! For example: Your partner showed you a balanced handwith a minimum B# = 2.5. When you know thatB(1.5) = 12 HCP, to find your partner's minimum HCP, you will need to add 3 HCP for the increase of 1.0 from B(1.5) to B(2.5), So, your partner has 15 HCP.

♠ ♥ ♦ ♣- 51 - With unbalanced hands, associate B1 with 8 HCP, B(1.5) with 10 HCP, B2 with 11 HCP, B(2.5) with 13 HCP and so on … and add / subtract 3 HCP for any change of the B# up or down for whole or whole & a half B# respectively. To make 4 in Major, you will need PL >= 3.5 with CP >= 24 including pseudo CP To make 5 in Minor, you will need a PL >= 5 with CP >= 28 (including the pseudo CP)

SCOR ASKING FOR THE COLORS OF THE TOP HONORS A Reminder: Priority answers for Honors Combinations of '2 of a kind' or '3 of a kind' 2 Kings - show them by SCOR King + Queen - show them by SCOR, but when they are in the same suit, use the 4th/5th step of scor – Scor For example: 1st step = SHAPE King + Queen 2nd step = COLOR King + Queen 3rd step = RANK King + Queen 4th step = King + Queen in the 2nd longer suit (if any). With equal length – King + Queen in the lower suit 5th step = King + Queen in the longest suit (if any). With equal length – King + Queen in the higher suit King + Ace - show them by SCOR, but when they are in the same suit, use the 4th/5th step of scor – Scor Queen + Ace - show them by SCOR, but when they are in the same suit, use the 4th/5th step of scor– Scor King + Queen + Ace – 1st show King + Queen by SCOR, then show King + Ace by SCOR

- 53 - 1 King – show it naturally. 2 Queens - show them by SCOR 3 Kings - bid naturally the omitted King's suit. 3 Queens - bid naturally the omitted Queens' suit 2 Aces - show them by SCOR 1 Queen – show it naturally. NOTE: Do not show the color of the Singleton King if you have only that King! Your partner already knows where it is! If you have 3 Kings (1 of them a Singleton King) use the '2 of a kind' answer to show the colors of the 2 non-Singleton Kings by SCOR. ♠ ♥ ♦ ♣

WHAT ARE THE EQUIVALENT QUEENS (EQ) AND WHERE ARE THEY HIDDEN ? Any holding you have with the value of the real Queen, which is 0.5 is an Equivalent Queen (EQ) - a Queen = 1 EQ = 0.5 trick count. - a Singleton (except a Singleton King) consists of 1 EQ - a Void consists of 1 EQ - a Singleton Ace consists of 1 EQ = 0.5 (count the Ace separately) - 3 Doubletons (with a maximum of 1 Ace and no other TOP Honors in them) consist of 1 EQ = 0.5 NOTE: With a bi-color, to calculate the EQ, use the Formula: n – 10, where ‘n’ is the sum of the cards in both bi-color suits. 6/5 bi-color consists of 1 EQ 6 + 5 = 11– 10 = 1 EQ * 0.5 = 0.5 to add to your B# 6/6 or 7/5 bi-color consists of 2 EQ 6 + 6 or 7 + 5 = 12 - 10 = 2 EQ * 0.5 = 1.0 to add. 7/6 or 8/5 bi-color consists of 3 EQ 7 + 6 or 8 + 5 = 13 - 10 = 3 EQ * 0.5 = 1.5 to add.

- 55 - Let’s practice Suppose your hand is: ♠AKxxx ♥xxx ♦Axxx ♣x B# = 2.5, 5 card Basic suit with a Singleton,,thereare '2 of a kind,” the 2 Aces, because of the lowest- priority Fp eventually, but not mandatory (talk to your partner) will ask for their colors after checking the color of the King (the answer may be natural or semi-natural (in NT if the Relay is in the same suit where is your King) After 5♣ Relay bid, 5♠ will show you have the King of ♠ and if a new 5NT Relay appears, bid 6♣ = 1st step answer for SHAPE Aces. Suppose your hand is: ♠AQx ♥AKxxx ♦xx ♣xxx B(2.5), ambiguous balance (5 card suit, no S, no V). The “2 of a kind” are K♥ + Q♠. They are RANK. After 5♣ Relay use the 3rd step answer 5♠ to show you have Major or Minor K + Q. Watching his cards, the Quest in most cases will be able to discover their colors. Suppose your hand is: ♠x ♥Qxxxx ♦AKQx ♣AQx Be careful; you have 4 EQ (3 real Queens + 1 pseudo suit ! Your B# = 4. 1st show your King naturally, then the omitted suit, where you do not have Queen).

If your hand is: ♠Q ♥Qxxxx ♦AKQx ♣Axx Your B# = 3.5 with 5 card Basic suit + a Singleton. 1st show your King naturally; then the '2 of a kind” are ♥ + ♦. They are COLOR, so use the 2nd step by SCOR. Fp never shows the color of the Singleton. Suppose your hand is: ♠KQx ♥AQx ♦AQxxx ♣xx B# = 3.5, ambiguous balance (5 card suit, no Singleton, no Void). 1st show your King naturally, then the omitted Queen suit (♣ suit), where you do not have Queen) and if there is a new Relay, show ' Aces by SCOR. When you have 2K + 2Q, 1st show by SCOR the colors of the Kings and on a new Relay (if any) show the colors of the Queens again by SCOR (except when you have 2 RANK Kings + 2 Queens). The exception is explained below: When you have 2 RANK Kings + 2 Queens, they must be shown simultaneously. The 3rd step by SCOR, which normally is for 2 RANK Kings, will also show 2 SHAPE Queens The 4th step by SCOR will show again 2 RANK Kings, but now with 2 COLOR Queens The 5th step by SCOR will show 2 RANK Kings, but now with 2 RANK Queens. When you have 2K + Q, the 1st step by SCOR will show the colors of the Kings, and on a

- 57 - new Relay show the color of the Queen naturally. SCOR will show the color of the 2 Queens, and on a new Relay (if any) show the colors of the King naturally. When you have K + Q, show by SCOR the colors of the King + the color of the Queen, but use 4th step if they are in one suit. When you have A + K, show the color of the King + the color of the Ace by SCOR, but use 4th step if they are in one suit. When you have A + Q, show the colors of the Ace + the color of the Queen by SCOR, but use 4th step if they are in one suit. Never doubt whether your partner will understand your answer or not. Just follow the Fp requirements when answering! The rest is your partner's responsibility! ♠ ♥ ♦ ♣

- 58 - Find out where the hidden EQ are ♠AKQxx ♥KQx ♦xx ♣Qxx → 3 EQ, no hidden EQ, so 3 real Queens (B# = 3) ♠AKxxxxx ♥KQx ♦Qx ♣x → 4 EQ, 1 hidden EQ in the 7th card of the long suit + 1 hidden EQ in the Singleton + 2 real Queens (B# = 3.5, not 4) ♠AKQxxxxx ♥Kxx ♦Qx ♣ → 6 EQ, 2 hidden EQ in the 7th & the 8th card of the long suit + 2 hidden EQ in the Void + 2 real Queen (B# = 4, not 4.5) By exception: Pay Attention: When you have B(0) or B(0.5) and your partner used CPA, asking you for the CP, the 1st step answers in both cases are equal and will show 4 CP = 1 King, 2nd step answer will show 6 CP = 1 Ace, 3rd step answer will show 8 CP = 2 Kings. The difference will be in the number of the EQ: With B(0) your 1st step answer for CP will show 1 King + 2 EQ, 2nd step will show 1 Ace + 1 EQ, 3rd step will show 2 Kings, no EQ With B(0.5) your 1st step answer for CP will show also 1 King but 3 EQ, 2nd step will show 1 Ace + 2 EQ, 3rd step will show 2 Kings + 1 EQ NOTE: With B(-) your 1st step will show 0

King, maybe 2 EQ, 2nd step will show 1 King, maybe 1 EQ, 3rd step will show 1 Ace, no EQ. If there is still a free Bidding space after the Quest has discovered all CP, EQ, the colors of all '2 of a kind' & the single TOP Honors, the Quest may use one last Relay asking you for the combination of (J + T) in your longest suit (consult with your partner). The answers are by steps: - the 1st step answer is Negative - the 2nd step = Jack in the longest suit - the 3rd step = Jack + Ten in the longest suit. Board 3. Dealer North. Neither Vulnerable WEST EAST ♠1095 ♠J8432 ♥K65 ♥AQ3 ♦Q109 ♦2 ♣9763 ♣AKQ N: 1♦ = North’s Opening bid E: DBL = B2+, balanced or B(3.5)+, any shape After that bid, the Opponents Pass Throughout W: 1NT = B(-0.5 - 0), Negative, balanced or any 4441 NOTE: 1♥ bid will be a Relay asking for the strength & overall shape)

E: 2♣ = B(3.5)+, Stayman Modification Relay! Ask for the overall shape. W: 2♦ = B(-0.5 to 0), any balance (by Fp Requirements: no 5+ card suit, no S / V) including any 4441 2♠ = B(3.5), 5+♠, free bid All Pass ♠ ♥ ♦ ♣ Board 4 Dealer West, neither Vulnerable North bids 1♠ if possible; South raises to 2♠ if possible. WEST EAST ♠5 ♠QJ3 ♥AQ65 ♥KJ3 ♦6432 ♦KQ98 ♣A652 ♣KQ7 W: 2♦ = B2+, any 4441 pseudo-balance, N: Pass E: 2♥ = Relay! Ask for the strength / exact shape S: Pass W: 2♠ = 1st step answer for B(2 - 2.5), any 4441, weak N: 2NT = Attention! B2+ ! Ask for the exact shape. After that bid, the Opponents Pass Throughout

W: 3♥ = B(2 - 2.5), 1444 exact shape (we will use the minimum B# of 2.0) Thinking ! The min PL = B2+ B(2.5) + 1 (for the ‘good’ ♠ Singleton because of the Opponents’ ♠ Super FIT) = 5.5 for statistically 100% Game in Minors But for a game in Minors, the important thing is the number of CP in both hands. If they are 28 or more, you have an assurance of 100% for 5 in Minor contract despite the lower than 5.5 calculated Play Level (PL) NOTE: EAST with B2 pseudo-balanced hand 3♠ = CPA Relay! Ask for CP & EQ. The 1st step answer for CP = 4*B# = 4*2= 8 CP along with 4 EQ The 2nd step answer CP = 4*B# + 2 = 4*2 + 2 = 10 CP along with 3 EQ The 3rd step CP answer = 4*B# + 4 = 4*2 + 4 = 12 CP along with 2 EQ. That is the answer for this particular game. The 4th step CP answer = 4*B#+ 4 = 4*2 + 4 = 14 CP along with 1 EQ The 5th step CP answer = 4*B#+ 4 = 4*2 + 4 = 16 CP along with zero EQ 4♦ = 3rd step answer for CP = 4*2 + 4 = 12 real CP (2 Aces or 3 Kings) along with 2 EQ (1 real + 1EQ for ♠ Singleton).

So, the total CP in both hands = 12 + 4 (pseudo) + 12 = 28 CP for no SLAM, but 100% game in Minor ! NOTE: You must use the lower B# of 2.0 if answering for Controls (CP) and no need to ask for the exact B# when you have the minimum range of B(2 to 2.5) contract tricks (aka B#) NOTE: The actual Double Dummy PL= B2+ B(2.5) + 1 (for the ‘good’ ♠ Singleton because of the Opponents’♠ Super FIT) + 0.5 (for the 3 TOP Honors in 4 by 3 ♣ suit) + 0.5 (for the 3 TOP Honors in 4 by 3 ♥ suit) = 6.5 for 100% small SLAM. CP = 12 (East's CP) + 12 (West's CP) + 4 (pseudo CP for ♠ Singleton) = 28 for statistically 100% game in Minor, but no SLAM at all. 5♦ = Signoff

What you do if you have a Void in the opponents' suit and later discover that your partner has a Singleton Control in that same suit ? Your partner opened 1♣, the opponent overcalled 3♦, you have a Void ♦ and you immediately upgraded your B# by 1.0. Later, asking your partner for the exact shape and the CP, if you discover that your partner has a Singleton ♦ TOP Honor, you should downgrade your B# by 1.0 If you don't do that, your Final Contract will be doomed! Did you understand the bids of the previous 2 games? If you had difficulties with understanding, check the Counting again. Let's try to count a couple of hands Before you start counting, visually remove 2 initial contract tricks. Your partner will do the same. You hold: ♠Ax ♥Kxxx ♦AQxxxx ♣x Find your B# (contract tricks). Do not count the ♦AQ combination; it has a value of 2.0, count the rest only. You know you must count "visually"!

B# (contract tricks) = ♠A + ♥K + Singleton ♣ = 1.5 + 1 + 0.5 = 3 Your partner hold: ♠Kx ♥Qxxx ♦Jxx ♣QJxx After discarding 2 initial contract tricks visually: ♠K + ♥Q + ♣Q = 1 + 0.5 + 0.5 = 2 Your partner’s B# = 0 When you discover your partner's exact B# and distribution (shape) and find 2 FITs (♥ & ♦ suits) ♥ PL = B3 + B(0) + 0.5 (Adjustment for 9 ♦Trumps) = 3.5 ♦ PL = B3 + B(0) + 0.5 (Adjustment for 9 ♦Trumps) = 3.5 As you can see, they are the same. And the logic says they must be the same!

- 65 - Learn to count visually!

- 66 - Let me show you one tricky game from the Bidding Contest: After that bid the Opponents Pass Throughout DBL = B(0.5)+, 2♦ + Honor / 3+ ♦ / B(1.5)+, any shape 2♥ = 6♦ or 8♦, SHAPE side suits 3♦ = Sign Off The min PL = 2 (East B#) + 1.5 (West B#) = 3.5 If East has B4, she/he will raise to 5♦ See what will happen if you do NOT be extremely careful about the minimum PL. ♠ ♥ ♦ ♣ Board 5 WEST ♠J872 EAST ♠A53 ♥J2 ♦K7 ♣AKJ32 ♥Q10 ♦AQ7532 ♣108 EAST SOUTH WEST NORTH 1♦ 1♥ DBL! Pass 2♥ Pass 3♦ All Pass 1♦ = B(2 - 4), 5♦ to 8♦ / B(2.5 - 4), 9+ ♦ 1♥ = South's bid

- 67 - Board 5 repeated WEST ♠J872 EAST ♠A53 ♥J2 ♥Q10 ♦K7 ♦AQ7532 ♣AKJ32 ♣108 EAST SOUTH WEST NORTH 1♦ 1♥ DBL! Pass 2♥ Pass 2♠! Pass 3NT Pass 4♦ All Pass E: 1♦ = B(2 - 4), 5♦ to 8♦ / B(2.5 - 4), 9+ ♦ S: 1♥ = South's bid After that bid, the Opponents Pass Throughout W: DBL = B(0)+, 6+♠ / B(0.5)+, 2+♦/ B2+, any E: 2♥ = 6♦ or 8♦, SHAPE side suits W: 2♠! = B2+, 1st step answer is for V or S+V E: 3NT = 3262 exact shape (ambiguous balance, 6♦ + SHAPE, no S / V) W: Pass or 4♦ for Signoff All Pass Congratulation! One down! Will you be able to stop on 2♦ for 12 MP or at least on 3♦ for 10 MP ? ♠ ♥ ♦ ♣

- 68 - ADDITIONAL NOTES FOR MOTIVATED PLAYERS ABOUT COMPUTER SOURCE CODE 1. If at least one of the opponents bids your Singleton or Void suit immediately raise temporally your B# with 0.5, but only if your CP > 4*B# ^ (the upgraded B#^) to be able to give a correct answer to eventual CPA NOTE: Pay attention if you have any S / V; you cannot use the CP value for that pseudo suit before using the Formula ! 2. If the requirement CP > 4*B#^ is not fulfilled after the upgrade with 1.0, try to upgrade your B# with 0.5 only. 3. If the Formula is not fulfilled again, forget the upgrade ! NOTE: Be aware to upgrade your B# for a Singleton or a Void even if the Opponents didn' t make any Overcalls after investigating partner’s hand, when you have found that the Opponents have a FIT or a Super FIT in that suit ! Attention: Do not upgrade your B# if your Singleton in the Opponent's suit is a Control ! Remember that a Singleton Control is not a 'good' Singleton ! Also: Do not upgrade your Play Level (PL) for 9+ Trumps if you have to play with a Singleton Trump in partner’s hand !

For 2 or more suit combinations of 5+ card suits without Aces in any of the long suits opposite a Singleton / Void downgrade your B#: For 2 suit combinations, subtract 0.5 (with 1 Ace, do not apply this Adjustment). For 3 suit combinations, subtract 1.0 (with 1 Ace, subtract 0.5, with 2 Aces, do not apply this Adjustment). For 4 suit combinations, subtract 1.5 (with 1 Ace, subtract 1.0, with 2 Aces, subtract 0.5, with 3 Aces do not apply this Adjustment) Congratulations! You have just read the best Hand Evaluator - The Fp Counting

SOME IMPORTANT DISCOVERIES THAT ARE BETTER TO KNOW Usually, the CPA (Control Points Asking) doesn’t include answers for any Voids or Singletons (except Singleton Ace or King), but there are 2 important exceptions: When an Opponent opens or overcalls over 3NT bid, and the Quest immediately asks for CP, the partner must include in the answer for the CP the value of the Void = 6 CP (if any) . When the Opponent(s) bid your Void or Singleton, before you upgrade your B#, you must check if the Fp Requirement: CP > 4*B#^ is fulfilled, where B#^ is your upgraded B#. When the Fp Requirement is not fulfilled, do not upgrade your B#. If you do not follow that Rule, you will not be able to show your CP correctly. Fp never asks for the exact B# with 6+/5+ bi-color in your partner’s hand (but does ask for the exact B# with any 5/5 bi-colors) The Quest must assume that with 6/5 bi- color the partner’s B3 (despite that in reality it can be 2.5), respectively B(3.5) when the partner has a 6/6 or 7/5 bi-color, B4 when the partner has a 7/6 or 8/5 bi-color. Not asking for the exact B# will prevent the

Quest from discovering the partner's real Queens, but when the Bidding space for using CPA is not enough, the Quest may calculate the partner's CP byusing the Formulas for the expected CPin dependence of the kind of the partner's bi-color With any 6/5 bi-color the CP = 4*B# + 2 (the 3rd step answer, the same like with a monocolor suit) With any 6/6 or 7/5 bi-color the CP = 4*B# With any 7/6 or 8/5 bi-color the CP = 4*B# - 2 1. With a PL = 6 and 30 CP always check for the MIRROR suits, which will lower your PL. 2. Singleton King is NOT an Equivalent Queen (EQ). 3. With a PL = x.5 (where x is from 1 ) to 3 you can play in Majors on Level = x + 1, but you cannot play in Minors on that x Level ! I'm unable to give you a proper explanation about that phenomenon ! It is a hard conclusion from the practice !

Rules for the right to use Relays On 1st Level you need B(0.5)+ to start the Relays The universal Formula for the right to use Relays (if your partner didn't show B# >= 3.5) on 1st or 2nd Level, depending on the Level you intend to ask, when NOT Vulnerable, is: your B# >= Relay’s asking Level / 2 When Vulnerable, the Relay’s asking Level must be equal to your B# So, on 1st Level you will need B(0.5)+, non- Vulnerable or B1, Vulnerable (experienced Fp Players may use B(0.5), to continue to ask. On 2nd Level you will need B1+, non- Vulnerable or B2, Vulnerable to continue to ask. The universal Formula for the right to use Relays (if your partner didn't show B# >= 3.5) on 3rd Level, depending on the Level you intend to ask, when NOT Vulnerable, is: your B# >= Relay’s asking Level / 2 + 1 So, on 3rd Level, you will need B2+, non- Vulnerable or B3+, Vulnerable to continue to ask. After Opponent’s Barrage Overcall on 3rd Level The Respondent has 2 options:

With B3+ to continue with DBL = Relay asking the Opener to show his overall shape. With B(0.5) to B(2.5) to show his exact B# only, starting from Pass = B(0.5) or less, so the Opener can make a free bid or may continue with a Relay asking the partner to show his 5+ card Basic suit or a balanced hand (including pseudo balance) or a bi-color excluding the Opponent’s suit. Knowing the exact PL, the Opener may continue with Relays to discover the exact partner’s shape, then calculate the partner’s CP and decide on the final contract. NOTE: The above is not applicable (NA) after 1 in suit Opening – 3 in the same suit Overcall by an Opponent if the JUMP barrage bid is a natural suit bid. In such cases, the Responder (becoming the Quest) must use the bid of DBL with any B# from B(0.5) and up, making the mandatory free bid on the 2nd round if he has only B(0.5) With B(0) the Responder must make an immediate free bid; with B(-) must bid Pass. When Vulnerable, the Relay’s asking Level must be equal to your B# NOTE: If your B# = 0.5 only, and your partner didn’t show strong B(3.5)+, you must make a free bid immediately after the 1st Relay in your best suit or simply raise your partner's suit if you have a

FIT. In that case, your partner may continue with a Relay for a direct Control Point Asking (CPA, Asking for the exact number & kind of all TOP Honors A+K+Q) ! So, if your partner didn’t show strong B(3.5)+: on 2nd Level you will need: B# >= 1 on 3rd Level you will need: B# >= 2 on 4th Level you will need: B# >= 3 on 5th Level you will need: B#>= 4 ♠ ♥ ♦ ♣ Rules for using DBL in 2nd seat with 5+ card suit On 1st Level you need B# >= 0.5 to use DBL On 2nd Level you need B# >= 1 to use DBL On 3rd Level you need B# >= 2 to use DBL On 4th Level you need B# >= 3 to use DBL

- 75 - Rules for making Overcalls in 2nd seat in a suit with an unbalanced hand On 1st or 2nd Level (for a natural Overcall in a suit) you will need B(2 - 3) with 5+ cards in a Majorsuit or B(2.5 - 3) with 5+ cards in a Minor suit or with a balanced hand. On 3rd or higher Level (for a natural Overcall in a suit) With 5+ card Major suit you will need: 1.When Vulnerable: B# >= the Level on which the Opponent bid minus 0.5 2. When non-Vulnerable: B# >= the Level on which the Opponent bid minus 1 With 5+ card Minor suit or with a balanced hand you will need: 1. Vulnerable: B# >= the Level on which the Opponent bid 2. Non-Vulnerable: B# >= the Level on which the Opponent bid minus 0.5

- 76 - NOTE: Pay attention that if your partner has already Passed, the Rules for the Overcalls are with 1.0 higher despite the Vulnerability: On 1st Level you will need B(1.5)+ to make an Overcall On 2nd Level you will need B2+ to make an Overcall On 3rd Level you will need B3+ to make an Overcall ♠ ♥ ♦ ♣

- 77 - HOW TO FIND PARTNER’S SINGLETON KING WITHOUT ASKING FOR IT The most important principle when you have a Singleton King & the Quest asks you for CP is: Add 4 CP before answer (for the disappeared value of your Singleton)! If the Quest doesn't discover immediately that you have a Singleton King, s/he will perform a check-back of your B# by using the information about partner's Aces, Kings & Queens obtained after the CPA for a backward comparison with your previously shown B# for equality with the manually recalculated B#. If the Quest find any difference between both B's, the partner has a Singleton King & vise-versa ! Do it without any compromise, because an unsuspected Singleton King will blow your contract ! A Singleton King counts for 0.5, but you must show it as 4 Controls if the Quest asks you for CP ! Suppose, your partner's 4315 distribution is: ♠AQxx ♥xxx ♦K ♣AQxxx with 16 CP = 2 Aces + 1 Singleton King, along with 2 real Queens. So, the partner's B# = -2 (mandatory removal of 2 initial contract tricks) + 3.0 (for 2 Aces) + 0.5 (for the Singleton King ) + 1 (for 2 real Queens) = 2.5. When the Quest asks for the CP, the partner MUST show 20 CP, not the real 16 CP because with a King in the Singleton your hand lost some values & you have to compensate them !

- 78 - So, when the Quest asks the partner for CP and the partner shows the corrected CP number, the Quest may immediately sense that the partner's EQ are not appropriate, thus indicating for the possession of a Singleton King (instead of the usual Singleton) + 1 more real Queen ! If the Quest didn't sense that immediately, s/ he MUST perform a check-back of the previously shown B# with the recalculated B# for comparison.. SUMMARIZING When you have a Singleton King and the Quest asks you for the CP, add 4 CP to your real CP before answering, then show the updated CP to the Quest. The Quest may immediately discover that you have a Singleton King or if not, s/he will make a backward check of the previously shown B# with the recalculated B# for equality. If both B#s are equal, the partner doesn't have a Singleton King and vise-versa. The Quest also will pay attention the partner's real CP are with 4 CP less than you have shown.

Let's Exercise Your partner holds: ♠Kx ♥Qxxx ♦Jxx ♣QJxx. How many EQ your partner have? Answer: 2 EQ, and they are 2 real Queens, because your partner has a balanced hand (no Singleton, no Void) Your partner holds: ♠AQJxxxx ♥KQxxx ♦J ♣ - How many EQ does your partner have? Answer: 6 EQ (2 in ♠ suit: 1 real Queen + 1 for the 7th card; 1 real Queen in ♥ suit; 1 in the Singleton ♦ suit; 2 in the Void ♣ suit, total of 6). B# = 3.5 Your partner holds: ♠AKJxxxxxx ♥Q ♦x ♣Qx How many EQ your partner have? Answer: 6 EQ (3 for the 7th, 8th & 9th cards in ♠ suit; 1 real Queen in ♥ suit; 1 in the Singleton ♦ suit; 1 in the Singleton ♣ suit, total of 5). B# = 3 NOTE: Fp doesn’t scan Singleton Queens at all. Just count the Singleton for 0.5! Your hand: ♠ - ♥ - ♦Axxxx ♣AKJxxxxx (m = 13) What is your B#, how many EQ your partner have, and the Formula for the 1st step CP answer ? Answer: How many EQ your partner have? B# = -2 + 2*1.5 (2 Aces) + 1.0 (King) + 0.5 (Queen) + 0.5*(m - 10) + 0.5 (♠ Void) + 0.5 (♥ Void) = 5 EQ = 1 (in ♠ Void) + 1 (in ♥ Void) + 3 (in ♣ suit) = 5 1st step CP answer = 4*B# - 6 = 4*5 - 6 = 14, 5 EQ

How to Find the Partner’s Real Queen Without Asking for Them The count of the Equivalent Queens (EQ) depends on the exact distribution and can be discovered by the steps your partner has taken when answering for CP. When you know your partner’s exact shape, it is easy to discover the exact number of your partner’s real Queens by subtracting all distributional points that count for 0.5 from the number of discovered EQ’s: The number of real Q = the number of EQ minus distributional values that count for 0.5 With bi-colors, to discover the number of EQ that goes along with the 1st step answer for CP, use the Formula: EQ = m - 6, where 'm' is the number of cards in both bi-color suits. As you may know, any of the next step answers raises the CP by 2 and lowers the EQ by 1), i.e., EQ for the 2nd step CP answer = m – 7 EQ for the 3rd step CP answer = m – 8 EQ for the 4thd step CP answer = m – 9 ♠ ♥ ♦ ♣

Let's check if you already know how to count your hand very fast. Before you start to count, find 2 TOP Honors with a combined value of 2.0, and DO NOT count them! Count only the rest! Suppose your hand is: ♠xxx ♥K ♦AKJxx ♣Qxxx Can you find your B#, aka your contract tricks? Let's start counting: You have A + Q with a value of 1.5 + 0.5 = 2.0, so we won't count them; we will discard them. We will count the rest: Singleton ♥King + ♦King = 0.5 + 1.0 = 1.5 contract tricks, so your B# = 1.5 NOTE: You may count your hand using a different method: You have an Ace + a Singleton King with a value of 2.0, which we will NOT count. The result for your B# will be the same. If you have 2 Kings and neither of them is a Singleton King, you may discard them and count the rest, which will be as easy as it was when we discarded the A + Q. In cases when you have 2 Aces, each of them with a value of 1.5, you may count them as 1.0, thus discarding 2 initial tricks visually and then counting the rest. ♠ ♥ ♦ ♣

HOW TO CALCULATE THE NUMBER OF PARTNER’S CONTROL POINTS (CP) & EQUIVALENT QUEENS (EQ) With up to 6 card Basic suit or 5/5 bi-color The Control Points (CP) for the 1st step answer: CP = 4*B# along with 4 EQ The Control Points (CP) for the 2nd step answer: CP = 4*B# + 2 along with 3 EQ The Control Points (CP) for the 3rd step answer: CP = 4*B# + 4 along with 2 EQ The Control Points (CP) for the 4th step answer: CP = 4*B# + 6 along with 1 EQ The Control Points (CP) for the 5th step answer: CP = 4*B# + 8, no EQ With 7 card Basic suit or 6/5 bi-color The Control Points (CP) for the 1st step answer: CP = 4*B# - 2 along with 5 EQ The Control Points (CP) for the 2nd step answer: CP = 4*B# along with 4 EQ The Control Points (CP) for the 3rd step answer: CP = 4*B# + 2 along with 3 EQ The Control Points (CP) for the 4th step answer: CP = 4*B# + 4 along with 2 EQ

With 8 card Basic suit or 6/6 or 7/5 bi-colors The Control Points (CP) for the 1st step answer: CP = 4*B# - 4 along with 6 EQ The Control Points (CP) for the 2nd step answer: CP = 4*B# - 2 along with 5 EQ The Control Points (CP) for the 3rd step answer: CP = 4*B# along with 4 EQ The Control Points (CP) for the 4th step answer: CP = 4*B# + 2 along with 3 EQ

BACKWARD CHECK OF PARTNER’S PREVIOUSLY DECLARED BASE NUMBER (B#) In cases when your partner has shown a Singleton, always spend a few seconds for a backward check of your partner’s previously declared B# by using the Fp Counting. When you discover your partner’s exact shape, the Base Number (B#) and the Control Points (CP), you will know the exact number and kind of all partner’s TOP Honors (Aces + Kings + Queens). Suppose your partner has an exact shape of ♠K ♥AQxxx ♦Kxx ♣Axxx with B3, 20 real CP. When the Quest asks for CP, the partner, with B# = 3.will add 4 CP (because of the Singleton King) and will use the 8th step to show 24 CP, no EQ, which obviously is impossible. The 1st step CP answer will be for: 4*B# = 4*3.5 = 14 CP, 4 EQ & 3 more steps for the remaining 6 CP will show 4*3.5 + 6 = 20 CP, 1 EQ. Before you show them, add 4 more CP & show 24 CP instead of 20 CP without any EQ which is not possible because your partner showed a Singleton That clearly indicates you have a Singleton King along with 1 more real Queen than the Quest expected !

- 85 - Examples with or without a Singleton King ♠K ♥AQxxx ♦AKx ♣Jxxx with B3, 20 CP If asked for the exact CP MUST show 24 CP ♠x ♥Axxxx ♦AKx ♣KJxx with Bb(3.5), 20 CP If asked for the exact CP MUST show 20 CP If you find a difference between the previously shown Singleton suit by your partner and later s/he show no EQ at all, that pointed to a Singleton King along with 1 more real Queen ! ♠ ♥ ♦ ♣

- 86 - Additional considerations to pay attention When you think that you will be 1 down because of the aggressive Fp Counting, you will be at least 2 down (except when you have 10+ card Trump Super FIT). So, NEVER overbid even in equal Vulnerability (not to speak of non-favorable Vulnerability) and pay attention to that, even in favorable Vulnerability ! When the sum of both pairs' Play Levels is 6+, always use Penalty Rule of 13, but if you think that the hands are strongly unbalanced, be aware that the Penalty Rule of 13 becomes Penalty Rule of 16 ! The sum of both sides' B#s is usually 5, but with strongly unbalanced hands, the sum may range from 8 to 11. This is another way to clarify a successful Penalty Double! If you ask me why I'm doing this frequently, my answer will be: Because of the explicit Fp Counting, the auto hand evaluation is the core of the Fp system and will guarantee your success of over 75% with any crazy hands (usually over 80%).

- 87 - Send an email to: force-point@force-point.com if you have any questions regarding Fp Bidding. ♠ ♥ ♦ ♣ Let's Check Your Error Free to be Counting ! One small counting mistake and your contract may be doomed ! You hold: ♠A ♥Kxxx ♦AKQxxxx ♣x Find your B# You know you must count visually by discarding 2 contract tricks at the front to eliminate any mistakes! Do not count the Singleton ♠A, it has a value of 2.0, count the rest only ! B# = 1.0 (♥K) + 1.5 (♦A) + 1.0 (♦K) + 0.5 (♦Q)+ 0.5 (for 7 card suit) + 0.5 (♣ Singleton) = 5, i.e., you have 5 contract tricks (3 EQ only). Your hold: ♠Qxx ♥QJx ♦xx ♣Axxxx You will not count ♠Q + ♣A which have the value of 1.5 + 0.5 = 2, but will count the rest: ♥Q = 0.5, i.e., your have B# = 0.5

- 88 - Suppose your partner has discovered your exact shape and B# and calculated the game's PL = B# + B# + Adjustments (if any) = 5 + 0.5 + 0.5 (Adjustment for the 'good' Singleton) + 0.5 (Adjustment for 9 Trumps) = 6.5 which shows statistically 100% Small Slam. Even if your partner is unable to discover your exact number and kind of your TOP Honors because of the opponents’ barrage, the information for the Play Level (PL) your partner received will be enough for a d e c i s i o n t o bid or not to bid a Small Slam! Just remember that Fp always plays Small Slams with PL >= 6.0 & CP >= 32 (with exact PL = 6.0, the Small Slams are statistically 50%), but Grand Slams must always be played with PL > = 7.5 and minimum 36 CP for statistically 100% (min 7.25*with 2 good FITs! ♠ ♥ ♦ ♣

THE CONJUNCTION BETWEEN THE BASE NUMBER (B#) AND THE CONTROL POINTS (CP) Find the approximate CP or B# when you know one of them: 1. With 5-6 card suit or with balanced hands when the Aces are equal to or less than the Kings or with 5/5 bi-color: B# = (CP - 4)/4 or CP = 4*B# + 4 2. With 7-8 card suit B# = (CP - 2)/4 or CP = 4*B# + 2 3. With balanced hands when the Aces are more than the Kings: B# = (CP - 6)/4 or CP = 4*B# + 6 4. With 6+/5+ two-suitor (bi-color): ~ B# = CP/4 or CP ~ 4*B# (with a Void or 2 Singletons) 5. Without any Void or 2 Singletons ~ B# = CP/4 - 0.5 or CP ~ 4*B# + 2 (may have 1 Singleton) Attention: To make Force Point Counting very fast and error-free, learn to count visually! To find your Contract Tricks (a.k.a. your Base Number, B#), 1st find visually Honor(s) with a value of 2.0 and DO NOT count them ! Count only the rest of your Honors and

Distribution points (instead of counting all of them and subtracting 2 by the end, because if you forget to subtract 2 by the end of the Counting, your pair will be in a fire & all Kibitzers will laugh loudly !) To ensure an error-free count, you must visually subtract 2 contract tricks at the start and count only the rest, which will be your B#. Your partner will do the same. The sum of both partners' B#s will supply you with the game's Play Level (PL) before the Adjustments (if any). For example: If your hand is: ♠x ♥KQx ♦Axx ♣AKQxxx DO NOT count A♦ + Q♥ (with a value 1.5 + 0.5 = 2), count the rest of your Distributional and Honors points: 0.5 (Singleton ♠) + 1 (K♥) + 1.5 (A♣) + 1 (K♣) + 0.5 (Q♣) = 4.5 and that will be your B# or DO NOT count K♥ + K♣ (with a value of 1 + 1 = 2), count the rest of your Distributional and Honors points: 0.5 (Singleton ♠) + 0.5 (Q♥) + 1.5 (A♣) +1.5 (A♦) + 0.5 (Q♣) = 4.5 and that will be your B# Count A♦ + A♣ (with a value of 1.5 + 1.5 = 3) for 1.0 only (thus subtracting 2 contract tricks in front) along with the rest of your Distributional & Honors points: Your B# = 1 (for the 2 Aces after removing 2) + 0.5 (for Singleton ♠) + 1 (for K♣) + 0.5 (for Q♣) + 1 (for K♥) + 0.5 (for Q♥) = 4.5

Of course, when you do not have any Honors with a value of 2, you must count what you have and then subtract 2 by the end, thus receiving your Negative B# probably. ♠ ♥ ♦ ♣ Let’s Exercise You hold: ♠Kx ♥Qx ♦Axxx ♣AQxxx Do not count ♣AQ, count the rest & find your B#. Is it 3.0 or ? If you are the Dealer, will you open 1NT or 1♣? You hold: ♠Ax ♥K ♦AQxxxxxx ♣Ax Do not count ♦AQ, count the rest & find your B#. Is it 5.0 or ? If you are the Dealer, will you open 1♣ ? You hold: ♠xx ♥Jx ♦Axxxxxx ♣xx Find your B#. Is it 0.5 or ? You hold: ♠Jxxx ♥xx ♦QJxx ♣xxx It is a balanced hand. Find your B#. Is it -1.5 or ? You hold: ♠xx ♥Jx ♦Qxxxx ♣Jxxx That hand is not balanced by Fp requirements. Find your B#. Is it -1.5 or ? You hold: ♠Kxxxx ♥Qx ♦A ♣QJxxx Find your B#. Is it 2.0 or ?

If you are the Dealer, will you open 2♠ ? You hold: ♠J ♥AQxxxx ♦K ♣AKQxx Do not count ♥AQ, count the rest. Is your B# = 4.5 or ? If you are the Dealer, will you open 1♣ ? You hold: ♠AKxxxxxx ♥Q ♦Ax ♣Ax Find your B#. Is it 5.5 or ? If you are the Dealer, will you open 1♣ ? You hold: ♠AQxxx ♥Qxxxx ♦AQ ♣x Prove that your B# = 3.0 and explain to yourself why you should open 2♥ You hold: ♠AQxxx ♥Kxxxx ♦AQ ♣x Prove that your B# = 3.5 and explain to yourself why you should open 2♠ Pay attention that every B# which I have suggested is true! If you couldn't prove that for all of the hands, you are not ready for Fp! Go back, find Fp Counting and read it again.

Fp Requirements for Making a SLAM With Fp you have a 100% assurance for any game with PL at least x.5 or a finesse game with PL = x.0 (exception only for 4 in Major games, which can be made with PL = 3.5 if you visualize any Singleton in either of the two hands) For example: When you discover a PL = 6.5 you have a 100% Small Slam and you do not even need to check your Control Points (CP), aka the Controls. When you discover a PL = 6.0 you must know that you will need a finesse, a favorable attack, a suit breaking 3 by 3, dropping a Honor, a squeeze, end- playing the opponents, or so on ... to reach such Small Slams (calling all of them a 'finesse' Slams forshort explanation) ! By principle, you will need 32 to 36 CP to make a Small Slam, but even with 30 CP you still make a Small Slam when: 1. You have 2 very good FITs, both with all 3 TOP Honors 2. A Trump FIT along with two 5 by 2 Misfits, even with 7 by 1 side FIT 3. A Super FIT of 9+ Trumps & one 5 by 2 Misfit or 5 by 3 FIT with all 3 TOP honors NOTE: 38 CP are physically impossible combinations between Aces and Kings, so if you

discover 38 CP because of some duplication of a King opposite a Singleton or a Void opposite an Ace counted improperly (lower them immediately to 34 CP) Important NOTE: Surprisingly, 6NT may be bid easily with PL >= 6.0, so with PL = 5.5 you may have a finesse 6NT Slam, of course, but pay attention that in both cases you will need CP >= 34. It is not the same with the Grand Slams. To make a 100% Grand Slam in a suit, you will need PL >= 7.5 and for 7NT you will need PL >= 8.0 always with all 40 CP! There are some slight exceptions, but you must play with great caution: NT GRAND SLAM can be made with PL = 7.75* and 40 CP GRAND SLAMS in suit can be made with 7.25*, preferably with 2 good FITs and 36+ CP Never be afraid to bid on a GRAND SLAM with Force Point. That system was created for SLAMS. Use it to its full power. The Slam Bidding is the strongest part of Force Point. The SLAMS are dialed to 5% - 10%, and if you miss even one, you will not be able to win any Tournament. Do not give up on SLAMS !

You read the latest updated edition - August 20, 2026 ♠ ♥ ♦ ♣

Board 5 NORTH ♠92 ♥98753 ♦A94 ♣JT2 WEST EAST ♠8543 ♠AKQ76 ♥6 ♥4 ♦KJT875 ♦ ♣AK ♣9876543 SOUTH ♠JT ♥AKQJT2 ♦Q632 ♣Q Dealer East, Neither Vulnerable, only NS play Fp EAST SOUTH WEST NORTH 2♠ 3♥ DBL! Pass 3♠ Pass 3NT Pass 5♥ Pass 5♠ Pass 6♣ Pass 6♠ All Pass 2♠ = B(3 - 4), 5+♠/5+any / B(3.5 - 4), 5+♠/5+♥ 3♥ = B(2 - 3), 5+♦ NOTE: With B(3.5)+ bid DBL ! DBL! = Relay! Askfortheotherbi-colorsuit From that point, Opponents Pass Throughout 3♠ = B(3 - 4), 5+♠/5+♣ bi-color 3NT = Relay! Ask for 2/3/6+ card suit

5♥ = 7♣/5♠ bi-color 5♠ = Relay! Ask for the Singleton suit 6♣ = ♥ Singleton Thinking! PL = B3 + B2 + 1 (for ♥ Opponents’ Super FIT) + 0.5 (for 9 Trumps in ♠) + 0.5 (for 9 cards in ♣ suit) - 1 (for “bad” ♦ Void) = 6 for statistically 50% Small SLAM ! NOTE: No need to statistically calculate South's CP by the Formula for the 3rd step CP answer (because of up to 6 card Basic suit), although it is provided here for practice: CP = 4*B# + 4= 4*3 + 4 = 16 for a total of 30 CP in both hands with 2 FITs for statistically 100% small SLAM ! 6♠=Final Contract All Pas

Board 6 NORTH ♠T43 ♥T973 ♦KJ64 ♣J6 WEST EAST ♠J75 ♠A ♥J ♥AQ8652 ♦AQ873 ♦T5 ♣KQ83 ♣A542 SOUTH ♠KQ9862 ♥K4 ♦92 ♣T97 Dealer East, All Vulnerable, only EW play Fp EAST SOUTH WEST NORTH 1♥ 4♣ 2♠ Pass DBL! 4♦! 3♠ Pass 6♣ All Pass 1♥ = B(2 - 4), 5+♥ 2♠ = Opponent's preemptive bid DBL! = Relay! Ask for the side suits. 3♠ = To Play 4♣ = B(3.5), 5+♥ Pass = South's bid

4♦! = Relay! Ask for the overall shape 6♣ = 1624 exact shape Thinking! ♠ PL = B( 3 . 5 ) + B 2 + 1 (for Opponents’ SuperFIT in ♠ suit) = 6.5 for statistically 100% Small SLAM NOTE: Let’s calculate the statistical East's CP using the Formula for the 3rd step CP answer (CP = 4*B# + 6, only with up to 6 card Basic suit. With 7 card suit use the Formula for the 2nd step CP answer = 4*B# + 4. With 8 card suit use the Formula for the 1st step CP answer = 4*B#) ! REMEMBER THAT TO BE ABLE TO CALCULATE THE CP WHEN YOU CAN NOT ASK FOR THEM ! CP = 4*B# + 4 = 4*3.5 + 4 = 18 CP. The CP in both hands = 18 + 10 + 4 (eventually pseudo in ♥ suit if no ♥ King in East's hand) = 32 CP for statistically 100% Small SLAM ! EVENTUALLY !! All Pass

In BBO the Bidding : 1♣ 1♦ 2♥ 3♠ p 4♠ All Pass Let’s exercise You hold: ♠AKx ♥KQxx ♦Qxxxx ♣xx North opened 1♦. Prove that your B# = 2.5 and explain to yourself why you should overcall 1NT. You hold: ♠AKx ♥Kxxx ♦AKxx ♣Qx Prove that your B# = 4.5 and explain to yourself why you should open 1♣ You hold: ♠Axx ♥Kxxx ♦AKxx ♣xx Prove that your B# = 3 and explain to yourself why you should open 1NT You hold: ♠AKQxx ♥A ♦KQxxxx ♣Q Prove that your B# = 5.5 and explain to yourself why you should open 1♣ You hold: ♠AKxxx ♥A ♦KQxxxx ♣Q Prove that your B# = 5.0 and explain to yourself why you should open 3♦ You hold: ♠AQxxx ♥xxxxx ♦AQ ♣x Prove that your B# = 2.0 and explain to yourself why you should open 2♥ ; Hint!: 5 card suit without Top Honor.

The Aquarius

- 102 - FORCE POINT DYNAMIC BIDDING MECHANISM By using the Force Point’s Counting, you will immediately find your contract’s tricks, which we call the Base Number, B# (the length of the suits and the possession of the Honors are included in the count). More importantly, there are no additional considerations regarding the evaluation of your hand in dependence on Opponents' bids, except for their eventual Jumps! 1. By opening 1 in a suit (except 1♣ Opening with B# >= 4.5 which is multi for strength and shapes), you will show your partner your 5+ card Basic suit with at least 2 contract tricks, B(2 - 4). 2. Your partner, with at least 0.5 contract tricks, will use the bounding bid (except 1♦) for a Round Forcing (RF) Relay starting with the SCOR - SCOR Convention. 3. Your answer will show the length of your Basic suit, sometimes simultaneously with 2 of your side suits using SCOR - SCOR Convention; then, on a new Relay, the 2nd longest suit, thus revealing your exact distribution (exact shape). 4. Your partner may continue with the next Relay asking you for your exact Base Number (B#, the contract tricks). Answer by step, using the 1st step for confirmation of your already-shown minimum B# by the Opening (raise your B# by 0.5 for any of the next step answers).

- 103 - 5.Now your partner may use Control Points Asking (CPA) Relay to ask for your CP (ControlPoints, Controls) and EQ (EquivalentQueens). Inother words,foryourallTOP Honors. The Formula is: CP = 4*B# minus an appropriate coefficient in dependence of your shape, and that will be your 1st step CP answer. Add by 2 CP & subtract by 1 EQ for for any of the next steps (i.e., show the rest of your CP by 2 CP for a step). The number of steps you use to show your total CP also indicates the number of your EQ (Equivalent Queens). ♠ ♥ ♦ ♣ REMINDER With up to 6 card suit or 5/5 bi-color : The 1st step answer will show CP = 4*B#, 4 EQ. The 2nd step answer will show CP = 4*B# + 2, 3 EQ The 3rd step answer will show CP = 4*B# + 4, 2 EQ. The 4th or higher step answers for CP = 4*B# + 6, zero EQ. In general, if your long suit has 1 more card in length (for example, 7 card Basic suit), the number of EQ for the 1st step will go up by 1.

- 104 - If your long suit has 2 more cards in length (for example, 8 card Basic suit), the number of EQ for the 1st step will go up by 2 and so on … So, with 7 card suit or with 6/5 bi-color : The 1st step answer will show CP = 4*B# - 2, 5 EQ The 2nd step answer will show CP = 4*B# +- 0, 4 EQ The 3rd step answer will show CP = 4*B# + 2, 3 EQ The 4th step answer will show CP = 4*B# + 4, 2 EQ The 5th step answer will show CP = 4*B# + 6, 1 EQ. With 8 card suit or with 6/6 or 7/5 bi-color : The 1st step answer will show CP = 4*B# - 4, 6 EQ. The 2nd step answer will show CP = 4*B# - 2, 5 EQ The 3rd step answer will show CP = 4*B# +- 0, 4 EQ The 4th step answer will show CP = 4*B# + 2, 3 EQ.

- 105 - With 9 card suit or with 7/6 or 8/5 bi-color : The 1st step answer will show CP = 4*B# - 6 along with 7 EQ. The 2nd step answer will show CP = 4*B# - 4 along with 6 EQ The 3rd step answer will show CP = 4*B# - 2 along with 5 EQ The 4th step answer will show CP = 4*B# along with 4 EQ. ♠ ♥ ♦ ♣

- 106 - THE SCOR – SCOR CONVENTION Force Point® (Fp) system uses only one Convention: SCOR - SCOR for discovering the exact partner’s shape, Control Points (CP) along with the Queens, and their suits. The Basic suit is expected to be any 5+ card suit inwhich you opened or overcalled. When your Basic suit is already shown, you may start answering by SCOR - SCOR showing your side suits, then your 2nd longest suit which will reveal your exact shape. In cases when you have 2 more cards in length than previously expected (7 cards instead of 5 cards Basic suit) after showing your side suits, you must use the 1st step answer showing that you have 7 card Basic suit; then, on a new Relay you show your 2nd longest suit, thus revealing your exact shape ! The acronym SCOR - SCOR stands for "SHAPE, COLOR and RANK" in reference to the types of the two side suits shown: "S" stands for 2 suits of the same SHAPE (the rounded suit; every other suits). They are the side suits that surround your Basic suit. "CO" stands for 2 suits of the same COLOR (red or black) side suits always excluding the color of your Basic suit. "R" stands for 2 suits of the same RANK (Minors or Majors) side suits always excluding the rank of your Basic suit.

- 107 - NOTE: The abbreviations are equal for both parts of the Convention, but if your partner thinks you have an odd number (5 or 7) card suit, using the 2nd part of it will show to him that you actually have an even number of cards (6 or 80) in the Basic suit. The side suits, shown by priority, can be: 1 by 1 (with 7 card Basic suit), 2 by 2 or 3 by 3 (both with 5 or 6 card Basic suit), 4 by 4 or 3 by 4 (both with 5 cards Basic suit), 2 by 4 (with 6 card Basic), 2 by 3 (with 7 card Basic suit) The important thing to remember is: Between the side suits, there can never be only 1 Singleton except when you have 8 card Basic suit + Void (1 by 4) or a 9 card Basic suit + Void (1 by 3). The Convention is universal; the 2nd part of the Convention uses the same meanings, but it shows that your Basic suit's length has 1 more card than was previously expected. When you Open or Overcall with 5+ card suit and then use the 2nd part of SCOR – SCOR Convention, your partner will discover that you actually have 6 or 8 cards in your Basic suit. The same applies when you Overcall with a 6+ card suit and then use the 2nd part of SCOR – SCOR Convention; your partner will discover that you actually have 7 cards in your Basic suit.

- 108 - In general, when you have an odd-numbered card suit (5 or 7), you show your 5+ card Basic suit, then you show your side suits by using the 1st part of SCOR - scor Convention. Then you show your 2nd longest suit thus revealing your exact shape, but if you have 7 card suit, after showing your side suits, you MUST use the 1st step answer, thus postponing the answer for the 2nd longest suit. However, if you have a 5 card suit, you will show your 2nd longest suit directly, revealing your exact shape. When you have an even-numbered card suit (6 or 8), after showing your Basic suit, you must show your side suits by 2nd part of scor - SCOR, thus informing your partner that you have a longer 6 or 8 card Basic suit. On a new Relay, you will naturally show your 2nd longest suit directly, revealing your exact shape. But if your partner has already PROVED STRONG B(3.5)+, and your side suits are RANK, instead of using the 7th waiting step (which is for cases when your partner hasn’t proved strong yet), you MUST JUMP without delay to your 2nd longest suit over the 6th step of the SCOR - SCOR Convention, thus showing immediately your exact shape by entering the Extended SCOR ! In such cases, when you use the 7th step and up, thus entering the EXTENDED SCOR by JUMP, you show your 2nd longest suit immediately, thus revealing your exact shape right away. You will read about it below.

- 109 - REMEMBER: If you are strong, B# >= 3.5, the 6th stepof SCOR - SCOR is used to show 6 or 8 card Basic suit with RANK side suits + a Void or S+V. When you do not know if your partner is strong or not, the 6th step of SCOR - SCOR is used to show only 6 or 8 card Basic suit with RANK side suits (waiting bid !) On a new Relay you will show your 2nd longest suit (the exact shape). When you do know that your partner is strong (B3+), you must use the Extended SCOR (from 7th step & up by showing immediately your 2nd longest suit by JUMP, thus revealing your exact shape of 6 or 8 card Basic suit + RANK, no Void. The bids are always by JUMP, no need to count the steps, just JUMP in your 2nd longest suit ! SCOR-SCOR is an innovative Convention allowing you to reveal your exact shape, usually up to 3NT (if no Opponents’ Jumps). When you are the QUEST (the Interrogator who is asking the partner) the important thing is to pay attention to where your partner's 2nd longest suit is.

- 110 - Remember that when the partner's 2nd longest suit is one of the previously shown side suits, the 4th not shown until that time suit is ALWAYS a Singleton, but when the 2nd longest suit is NOT one of the previously shown side suits, your partner doesn’t have any Singleton ! This is THE KEY for igniting your Imagination for the partner's distribution & understanding how SCOR - SCOR Convention works! The material below is only for the record; there is no need to remember it. NOTE: The number of possible answering bids depends on the length of the Basic suit (despite the side suits).

- 111 - With 5 or 7 card Basic suit: 5 bids with 5 cards 5 cards, 2 by 2 or 3 by 3 side suits 5 cards + Singleton: 4(3) or 3(4) side suits 5 cards + Void: 4 by 4 side suits 7 bids with 7 cards 7 cards + Singleton: 2 by 3 or 3 by 2 side suits 7 cards + Void: 3 by 3 or 4(2) / 2(4) in the side suits 7 cards + 2 Singletons: 1 by 1 side suits With 6 or 8 card Basic suit 1. The 1st step is reserved for 6 or 8 cards + Void / S+V. On a new Relay: With 6 card Basic suit: 2 bids with 6 cards 6 cards + Void: 4(3) / 3(4) in the side suit With 8 card Basic suit 4 bids with 8 cards 8 cards + Void: 2(3) / 3(2) in the side suits (2 bids) 8 cards + S+V: 4(1) / 1(4) in the side suits

- 112 - ((bids) 2. From the 2nd step show your for 6 or 8 cards, no Void: With 6 card Basic suit: 4 bids with 6 cards 6 cards + 2 by 2 side suits (1 bid; always use NT bid) 6 cards + Singleton: 4(2) / 2(4) or 3 by 3 side suits (3 bids) With 8 card Basic suit: 1 bids with 8 cards 8 cards + 1 Singleton: 2 by 2 side suits ♠ ♥ ♦ ♣

- 113 - Extended SCOR-SCOR Convention When you are strong B(3.5)+ or after an Opponent’s Overcall when you are able to show a B# of 3.5+, and you have a Basic suit with 6 or 8 cards along with RANK side suits, your answer for the 2nd longest suit will be a JUMP entering the zone of the ExtendedSCOR. Remember : That happens ONLY with these 3 conditions: strength of B(3.5)+, 6 or 8 card Basic suit + RANK side suits ! In such cases, you will show your 2nd longest suit immediately by JUMPING naturally in the suit on the 1st Relay (eliminating the need to use a 2nd Relay for that), thus saving very valuable bidding space. Just remember that in any case with B(3.5)+ and a 6 card Basic suit, along with RANK side suits, when asked for them, make a JUMP directly in your 2nd longest suit, thus entering the Extended SCOR (which starts with the 7th step of SCOR - SCOR answers) NOTE: It will be difficult for you to start with the explanations after 1♣ Opening, so we will start with the easier explanations after 1♦, 1♥ & 1♠ Openings. When you become accustomed to the basic system’s principles, we will explain the 1♣ Opening(by the way, it is the same,except for the first 2steps' answers,which are reserved for strong hands with B(4.5)+ and for strong NTwith B(3.5to4) respectively, so there isnothingdifficult).

- 114 - You can find Fp bids by running the Sysnotes computer program for assisting the players. You can use the program to play bridge on the Internet by Fp Rules even if you know almost nothing about Fp bridge bidding system. We will start with the easiest Openings to make your learning of Fp more comfortable. You must understand that you do not need to remember the Bidding sequences. Instead, you must remember the Bidding Mechanism that goes with any Opening. That is much easier than memorizing tens of sequences. The main things you must memorize are the ranges of the Opening bids (elementary) and SCOR - SCOR (including Extended SCOR) Convention (15 to 30 hours, depending on your imagination capabilities). It is new, and some players may find it difficult on the 1st sight, but the Convention will show you the exact distribution of the partner's shape, which is the important thing! Along with the CPA you will be able to project transparently the partners' cards through the back of them ! That is like a Double Dummy Bidding. No one bridge system is capable of such bidding ! Watch carefully the picture of the game on thecover of the book to find what you can discover aboutyour partner's hand before the Final Contract !

- 115 - The approximate time for learning Fp The Openings from 1♣ to 4NT are 20, but that doesn’t mean you will need to remember 20 Bidding Mechanisms. So, you will need to learn 10 Bidding Mechanisms corresponding to the different Opening bids, 1 Convention (SCOR - SCOR) and 3 very simple Asking (for the exact partner’s B#, CPA for the partner’s Controls, SCOR for the colors of the partner’s TOP Honors). Anyone can do that in 2 days (3 - 4 hours a day) depending on their free time and intentions. I recommend starting to learn the system from SCOR – SCOR, then 1♦, 1♥, 1♠ Openings (which use identical Bidding Mechanisms) and then continue with 1♣ Opening in 1st or 3/4 seat (20 to 25 hours to learn it) 1♦, 1♥, 1♠ → The Bidding Mechanisms with 5+ card Basic suit are equal and not difficult when you become accustomed with SCOR - SCOR (5 to 10 hours to learn them) 1 NT, 2 NT → The Bidding Mechanisms after a weak 1 NT and very strong 2 NT Openings with balanced hands are equal and easy when you learn the clever tricks for showing your exact shape and strength (up to 3NT after 1NT Opening), 10 to 15 hours to learn them. 2♦ → The Bidding Mechanism after 2♦ is the easiest (5 hours to learn it) 2♣ (for weak bi-colors), 2♥, 2♠ (for strong

- 116 - bi-colors) → The Bidding Mechanisms with the bi-color Openings are equal (5 hours to learn them) 3♣, 3♦, 3♥, 3♠ → The Bidding Mechanisms after very strong 6+/5+ bi-colors Openings are equal and easy (5 to 10 hours to learn them). 3NT → The Bidding Mechanisms after jump to or opening of 4NT (direct CPA) are easy, but statistically, they almost never happen. Just remember that the answers start from 8 CP or less (1 to 2 hours to learn it) 4♣, 4♦ → The Bidding Mechanisms are equal & elementary; you will seldom use them (10 hours to learn them) 4♥, 4♠ → The Bidding Mechanisms are equal & elementary; you will seldom use SCOR (5 hours to learn them) SCOR - SCOR Convention including Extended SCOR part. The learning depends on your imaginative capability and is rated from fair to difficult (15 to 30 hours to learn it) 1♣ → The Bidding Mechanisms of 1♣ Opening in 1st seat: 24 - 36 hours. p - p - (p) - 1♣ → The Bidding Mechanism in 3rd / 4th seat is the most effective and not difficult (10 - 15 hours to learn it). Asking for the exact B# → elementary (1 hour to learn it). Control Points Asking (CPA) → revolutionary, but a simple arithmetic for a 7 grader (1 year to discover it, but less than 5 hours

- 117 - to learn it). The asking for the suits of your TOP Honors is elementary and uses 3 steps: the 1st part of SCOR for showing '2 of a kind' + the 4th step for showing K + Q, K + A or Q + A in one suit (1 hour to learn it). You will need around 100 hours (no more than 160 hours if you are a slow learner), approximately 30 days (respectively 2 to 4 hours a day) to learn Fp theoretically, and you will need 30 more days to use it practically. In 3 to 4 months, you will be ready for Bermuda Bowl, no kidding! ♠ ♥ ♦ ♣ Did you learn Fp Counting well ? Let me give you some special distribution: You hold: ♠x ♥KJxxx ♦Axxxxxx ♣ - Find your B#. Is it 2.5 or ? How many CP you have? Are they 10 real + 10 pseudo? If you are the Dealer, will you open 2♣ ? Is the Fp Requirements CP >= 4*2 - 4 for that special hand fulfilled ? Can you upgrade your B#^ if the Opponents bid ♠ and / or ♣ suit(s) ? How many EQ you have ? Are they 4 or ? You hold: ♠Jxxx ♥x ♦QJxx ♣xxxx Hint: It is a pseudo-balanced hand.

- 118 - Find your B#. Is it -1 or -0.5 ? You hold: ♠Jxx ♥Jx ♦Qxxxx ♣KJx Find your B#. Is it -0.5 or ? You hold: ♠Kxxxxx ♥Q ♦A ♣QJxxx Find your B#. Is it 2.5 or ? If you are the Dealer, will you open 2♣ ? How many CP do you have ? Are they 10 real + (4 or 8) pseudo? Is the Fp Requirements CP >= 4*2.5 - 2 for that special hand fulfilled ? Can you upgrade your B# if the opponents bid ♥ and / or ♦ suit(s) ? How many EQ do you have ? Are they 3 or ? You hold: ♠ - ♥AQxxxxx ♦K ♣AKQxx Do not count ♥AQ, count the rest & find your B#. Is it 5.0 or ? If you are the Dealer, will you open 1♣ or 3♥ ? How many CP do you have? Are they 20 real + 4 pseudo? Is the Fp Requirements CP >= 4*5 - 4 for that special hand fulfilled ? Can you upgrade your B#^ if the Opponents bid ♠ and / or ♦ suit(s)? How many EQ do you have ? Are they 5 or 6 ? You hold: ♠AKxxxx ♥AQxxxx ♦x ♣ - Find your B#. Is it 4.5 or ? If you are the Dealer, will

- 119 - you open 1♣ or 2♣ or 2♥ or 2♠ or 3♥ or 3♠ ? How many EQ you have ? 6 or You hold: ♠AQxxxx ♥QJxxxxx ♦ - ♣ - Is your B# = 3.0 or ? If you are the Dealer, will you open 1♣ or 2♣ or 2♥ or 2♠ or 3♥ or 3♠ ? Are your EQ = 7 ? Are your Fp Requirements: CP >= 4*3 – 8 = 4 or ? NOTE: Answer all questions for the last 2 hands! ♠ ♥ ♦ ♣ Some opinions about Fp Here are some responses about the Force Point system posted on BBO Forum: http://www.bridgebase.com/forums/topic/ 52679-force-point-system/ by BumJr from April 19, 2012

- 120 - “I have studied the system. The developer is from Bulgaria (and many of the people who play the system on BBO are from Bulgaria). Suffice it to say that English is not his first language. There are actually many good ideas in the system. Perhaps the biggest complaint would be that on many relay auctions, the declarer ends up describing his hand, which makes defense a lot easier. I have been in contact with the developer and negotiated to help him write up his system in good English so that it will be comprehensible (it is very difficult to understand at the moment unless you read Bulgarian! At this point, he seems only mildly interested in my proposal. If he decides to go ahead with the idea, then he will have a much better product, and people will be able to evaluate it fairly. In my opinion, without a rewrite of the English description, it is too hard to understand his concepts. As to the crux of the system, 1NT was the forcing response to all 1 bids (by the influence of ACBL) and if the responder was strong, it started a series of relays where the Opener described his distribution, strength (based on the proprietary Fp counting algorithm) and specific high cards. NOTE by the Developer: When I started the creation of the system, 1NT bid by the Quest was the forcing Relay to all bids on 1st Level (by the influence of ACBL) asking the Opener to start describing his distribution, strength, controls, and where they are. Later, I discovered

- 121 - that the top players do not follow the ACBL rules, and I changed the Relay to the bounding bid, thus saving valuable space. NOTE: Except after 1♣ Opening, where the bounding bid of 1♦ is a weak bid, and the 1st Relay is 1♥ bid). “My theory here is that if it were really that good, a bunch of experts would already be playing it” Note by the Developer: The Experts hesitate to learn new systems. From what I have read here, only BumJr checked and understood some details of the system. The other guys only glanced at the system’s surface & of course, didn’t sense anything. The system is incredibly rational & strong. Anyone can sense that if they decide to spend only 12 hours investigating it by installing the DEMO playing program, which includes the Sysnotes bidding program. The bridge players have become incredibly lazy about reading ! Send an email to: force-point@force-point.com & I will send back the links for FREE installation ! One guy almost got the Fp Counting: by jtfanclub: Let me see if I can simplify it. NOTE: The bold is Counting in early 2004

- 122 - Ace = 1.5 winners, K = 1, Q = 0.5 (right! Add Singleton Ace = 2), Void = 1 winner (correct Void = 0.5), Singleton = 0.5 (right!) 7 card Trump FIT = -1 winner, 9 card Fit +1 (not right! For 7 cards, add 0.5; for 8 cards, add 1; for 9 cards, add 1.5) (correction: 9 cards fit: + 0.5; 10 cards fit: +1) Singleton honors (except aces) count for only the singleton (right!) -1 for poor shape outside the trump suit (like 3 card minors) (no such thing, totally wrong) Positive adjustments: Void: +0.5, Singleton: +0.5, balanced hand with 3 Jacks: +0.5 (right!) Negative adjustments: 3-5 card suits without honors, 3-5 card suits without controls (so suits headed by the ten are two negative adjustments). (Totally wrong! Only 5+ card suits without any honors = -0.5). A King opposite a Singleton or a Void = -1.0 No more than 3 Positive Adjustments! Take the number of tricks you and your partner have and add 2. The result is the expected number of tricks. (Totally wrong! Do not add anything.) Or subtract 5, if you know the level of the bid. (Almost right! Correction: Subtract 4, (actually, each player subtracts 2) There's additional detail, but that's the gist of it.

- 123 - Am I wrong? (60% right, 40% wrong. You managed to simplify the Force Point Counting!) Note by the Developer: Obviously, the system is not for children! 5 years later, when I have published the """system, things look much better: not only was my writing better (especially in the 2nd corrected edition), but the system has become stronger. ♠ ♥ ♦ ♣ 1♦ Opening We intentionally start with 1♦ Opening because 1♣ Opening may be difficult for you at this stage. Open 1♦ with a strength of B(2 - 4), 11-18 HCP with 5 to 8 card Basic suit. Developing the responses after 1♦ Opening 1♦ → 1♥! = Relay! B(0.5)+, 2+ ♦ or B(1.5)+, any shape except bi-colors 1♦ → 1♠ = B(0), any 5 cards / B(0.5) any 5+/5+bi- color, no 5+ ♥ → (here and below free bids) 1♦ → 1NT = B(0 - 0.5), balanced or any 4441 1♦ → 2♣ = B(0), 7♣ or 6♣ / 8♣ 1♦ → 2♦ = B(0), 3+♦ / 2♦ + TOP Honor(s)

- 124 - 1♦ → 2♥ = B(0), 7♥ or 6♥ / 8♥ 1♦ → 2♠ = B(0), 7♠ or 6♠ / 8♠ 1♦ → 2NT = B(1 - 1.5), 5+ ♦/5+ any bi-color 1♦ → 3♣ = B(1 - 1.5), 5+ ♣/5+ ♥ / 5+ ♣/5+ ♠ bicolor 1♦ → 3♦ = B(1 - 1.5), 5521 → 5♠ /5♥ bi-color 1♦ → 3♥ = 5512 exact shape 1♦ → 3♠ = 5503 1♦ → 3NT = 5530 and so on … (See ‘Sysnotes’ computer program - the digitized version of the Force Point bidding system) ♠ ♥ ♦ ♣ Development of announces after 1♦ → 1♥! → - 1♠ = B(2 - 4), 5♦ or 7♦, SHAPE / B2, 2272 → new Relay - 1NT = 5♦ or 7♦, COLOR / B(2.5), 2272 → new Relay! - 2♣ = 5♦ or 7♦, RANK / B(3 - 4), 2272 → new Relay! - 2♦ = 6♦ or 8♦, SHAPE→ new Relay! - 2♥ = 6♦ or 8♦, COLOR→ new Relay! - 2♠ = 6♦ or 8♦, RANK (waiting bid) → new Relay! → 2NT= Relay! The 1st step answer is for Void or S+V → 3♣ = 6♦ or 8♦, RANK + V / S+V → new Relay! → 3♦ = 3361 → 6♦ + RANK → 3♥ = 2461 → 3♠ = 4261 → 3NT = 2263 → 6♦ + RANK, no S / V → 4♣ = 1183 → 8♦ + RANK + 2 Singletons

- 125 - → 4♦ = B2, 2281 → 8♦ + RANK, no Void → 4♥ = B(2.5), 2281 → 8♦ + RANK, no Void → 4♠ = B3, 2281 → 8♦ + RANK, no Void → 4NT = B(3.5), 2281 → 8♦ + RANK, no V → 4♣ = B4, 2281 → 8♦ + RANK, no Void - 2NT = B(3 - 4), 9+ ♦ - 3♣ = B(3 - 4), 10 ♦ + SHAPE - 3♦ = B(3 - 4), 10 ♦ + COLOR - 3♥ = B(3 - 4), 1-2-10-0 → 10 ♦ + RANK - 3♠ = 2-1-10-0 - 3NT = empty - 4♣ = 0-0-10 Development of announces after 1♦ → 1♠ = (B(0.5 - 1), any 5+ card suit / B(0.5), any 5+/5+ bi- color) → → 1NT! = B(3.5)+, Ask for 5 card suit / bi-color, RF! → 2♣ = B(0), 5♣ → → if 2♦ (RF!) Relay appears for the side suits, the answers are: → 2♥ = 5♣ + SHAPE → new Relay! → 2♠ = 5♣ + COLOR → new Relay! → 2NT = 4405 → 5♣ + RANK + Void → 3♣ = 3325 → 3♦ = 2245 → 3♥ = 3415 → 3♠ = 4315 → 2♦ = B(0), 5♦ → → if 2♥ (RF!) Relay appears for the side suits, the answers are:

- 126 - → 2♠ = 5♦ + SHAPE → new Relay! → 2NT = 5♦ + COLOR → new Relay! → 3♣ = 2254 → 5♦ + RANK → 3♦ = 3352 → 3♥ = 3451 → 3♠ = 4351 → 3NT = 4450 → 5♦ + RANK + Void → 2♥ = B(0), 5♥ → → if 2♠ (RF!) Relay appears for the side suits, the answers are: → 2NT = 5♥ + SHAPE → new Relay! → 3♣ = 5♥ + COLOR → new Relay! → 3♦ = 1543 → 5♥ + RANK → 3♥ = 2533 → 3♠ = 4522 → 3NT = 0544 → 5♥ + RANK + Void → 4♣ = 1534 → 2♠ = B(0), 5♠ → → if 2NT Relay appears for the side suits, the answers are: → 3♣ = 5 + SHAPE → new Relay! → 3♦ = 5 + COLOR → new Relay! → 3♥ = 5422 → 5♠ + RANK → 3♠ = 5233 → 3NT = 5044 → 5♠ + RANK +

- 127 - Void → 4♣ = 5134 → 4♦ = 5143 NOTE: With SHAPE or COLOR side suits, if a new Relay appears, show your 2nd longest suit thus revealing your exact shape. → 2NT = B(0), 5+ ♦/5+ any bi-color → 3♣ = B(0), 5+ ♣/5+ ♥ or 5+ ♣/5+ ♠ bi-color → 3♦ = B(0), 5521 → 5+ ♠/5+ ♥ bi- color → 3♥ = 5512 → 3♠ = 5503 → 3NT = 5530 → 4♣ = 5♠/6♥ → 4♦ = 6♠/5♥ → 4♥ = 6601 or 6610 → 4♠ = 7♠/5♥ → 4NT = 5♠/7♥ → 5♣ = 6700 → 5♦ = 7600 → 5♥ = 5800 → 5♠ = 8500 For more information after 2NT bid & up see Sysnotes. ♠ ♥ ♦ ♣

- 128 - Development of announces after 1♦ → 1NT = B(0 - 0.5), balanced or any 4441 The Opener may make a free Signoff bid, but if a new 2♣! Relay! appears, the Responder must begin describing the his hand by using the Modified Stayman. ♠ ♥ ♦ ♣ Development of announces after 1♦ → 2♣ / 2♦ / 2♥ / 2♠: Except for 2♦ bid, after all other responses, the Opener may make free Signoff bid. If a new Relays appear, the Responder begins describing the hand by using SCOR - SCOR Convention. After: 1♦ - 2♦, a new Relay is directly for CP: The 1st step answer (the bonding bid) = 4 CP = 1 King + 2 EQ The 2nd step = 6 CP = 1 Ace + 1 EQ The 3rd step = 8 CP = 2 Kings, no EQ ♠ ♥ ♦ ♣ Development of announces after 2nd seat opponent's Overcalls: 1♦ (DBL) RDBL! = Relay! → → B(0.5)+, 6+M / 2+♦ / B(1.5)+, any shape → Pass = B(0) or less, any shape

- 129 - → 1♥ = B(0), 4+ ♥ → 1♠ = B(0), 4+ ♠ → 1NT = B1+, Ask for B# or 5+ card suit → 2♣ = B(0.5), 5+ ♣ → 2♦ = B(0.5), 5+ ♦/5+♠ SHAPE bi-color +♦ → 2♥ = 5+ ♦/5+♥ COLOR bi-color, + ♦ → 2♠ = 5+ ♦/5+ ♣ RANK bi-color, + ♦ → 2NT = 5+ ♥/5+ ♣ SHAPE bi-color, no ♦ → 3♣ = 5+ ♠/5+ ♣ COLOR bi-color, no ♦ → 3♦ = 5+ ♠/5+ ♥ RANK bi-color, no ♦ → 3♥ = B(0.5), 7+ ♥ → 3♠ = B (0.5), 7+ ♠ → 3NT = To Play After 2♣ & up, the Quest (the Interrogator), with only B(0.5) will make a free bid, but with B1+ will continue with 2♦ Relay! (If the 2nd seat opponent overcalls now, the Quest will use Pass - Relay like the next Relay! (for space saving, because there already was one active RF Relay of 1NT) ♠ ♥ ♦ ♣ The Opener begins with the description of his hand by using SCOR - SCOR Convention For example, after 1♦ (DBL) RDBL! (2♣ & up) the 1st step answer of Pass (the bonding bid) = B(2 - 2.5), 5+♦ , weak. → the 2nd step answer of DBL = B(3 - 4), 5♦ or 7♦, SHAPE (♣ + ♥) side suits (excluding the

- 130 - other SHAPE combination of ♦ / ♠ because one of the suits is the Basic ♦ suit) / B3, 2272 → the 3rd step answer of 2♦ = B(3 - 4), 5♦ or 7♦, COLOR (♣ + ♠) side suits excluding the red Basic ♦ suit / B(3.5), 2272 → the 4th step answer of 2♥ = B(3 - 4), 5♦ or 7♦, RANK (♠ + ♥) side suits / B4, 2272 → the 5th step answer of 2♠ = 6♦ or 8♦, SHAPE → the 6th step answer 2NT = 6♦ or 8♦, COLOR → the 7th step answer of 3♣ = 6♦ or 8♦, RANK + Void or S+V → the 8th step answer of 3♦ = 3361 → 6♦, RANK → the 9th step answer of 3♥ = 2461 → the 10th step answer of 3♠ = 4261 → the 11th step answer of 3NT = 2263 → no S/V → the 12th step answer of 4♣ = 1183 → 8♦ + RANK + 2 Singletons → the 13th step answer of 4♦ = B3, 2281 → 8♦ + RANK no Void → the 14th step answer of 4♥ = B(3.5), 2281 → 8♦ + RANK no Void → the 15th step answer of 4♠ = B4, 2281 → 8♦ + RANK no Void → the 16th step answer of 5♦ = B(4.5), 9+ ♦

- 131 - As you may see, after the Opponents’ interference, the 1st bid ALWAYS is for a weak hand. From the 2nd to the 7th steps are the answers by SCOR – SCOR Convention. From the 8th step & up are the answers by EXTENDED SCOR. Without interference, the 1st, the 2nd & the 3rd steps will be respectively for SHAPE, COLOR and RANK side suits, with 5♦ or 7♦ cards in the Basic suit. → The 4th, 5th, & 6th steps will be respectively for SHAPE, COLOR and RANK side suits again, but with 6♦ or 8♦ cards in the Basic suit. → From 7th step & up are the answers by EXTENDED SCOR always with 6♦ or 8♦ + RANK. Pay attention when the Opponent Overcall in 2nd seat; your Relay must be DBL instead of 1♥ Relay (1♥ will be a free bid). If that Relay appears, you must show your 2nd longest suit (if you have 7 card Basic suit, you must postpone the showing of your 2nd longest suit and use the bounding bid to show 7 card Basic suit; then, if a new Relay appears, show your 2nd longest suit, thus revealing your exact distribution. On a new Relay show your exact strength (B#) by steps: the 1st step for the minimum Opening; normallyB2, the 2nd step for B ( 2.5), the 3rdstep for B3 and so on … If the Quest continues to ask, show your exact number of Controls (CP) revealing your exact number of EQ, respectively your exact number of real Queens

- 132 - without directly asking for them ! If the Quest decides to investigate a GRAND SLAM, the request for the suits of your TOP Honors will follow. Show them by priority using the SCOR. If the Opponent Overcalls in 4th seat: → your 1st step answer (the bounding bid of Pass) will show a weak hand with B(2 - 2.5), 5+ cards in your Basic suit → your 2nd step answer DBL will show B(3 - 4), 5♦ or 7♦, SHAPE side suits → your 3rd step answer will show B(3 - 4), 5♦ or 7♦, COLOR side suits → your 4th step answer will show B(3 - 4), 5♦ or 7♦, RANK side suits → your 5th step answer will show B(3 - 4), 6♦ or 8♦, RANK side suits → your 6th step answer will show B(3 - 4), 6♦ or 8♦, RANK side suits → your 7th step answer will show B(3 - 4), 6♦ or 8♦, RANK + Void or S+V After an Overcall, if your partner proves strong with B(3.5)+, the answers will be by using the EXTENDED SCOR bids (with 6 or 8 card suit + RANK) → NT bid = 2263 → 6♦ + RANK, no S / V → ♣ = 1183 → 8♦ + RANK + 2 Singletons → ♦ = 3361→ 6♦ + RANK → ♥ = 2461 → ♠ = 4261

- 133 - → NT bid = B3, 2281 → 8♦ + RANK no Void → ♣ = B (3.5), 2281 → 8♦ + RANK no Void → ♦ = B4, 2281 → 8♦ + RANK no Void Remember: You must start counting the SCOR-SCOR steps after skipping (bypassing) the 1st (bounding) bid, which is only for showing a low-range opening with: B(2 - 2.5), 5+ cards of your Basic suit and nothing else! On a new Relay you will start answering by SCOR - SCOR from the 1st step. Remember: If the Opponents interfere, show your strength range instead of starting immediately with SCOR - SCOR answers, including the bids of Pass and DBL for the first 2 steps, thus using the Opponent's bid to save a huge Bidding space! After discovering your exact shape, your partner (the Quest) may ask you for your exact B# (answer by steps). Then your partner may continue with CPA, asking you for your Controls (CP). Suppose you have: ♠KQxxxxx ♥KQxx - ♣AQ Your Strength (B#) = 4 Your Equivalent Queens (EQ) = 5 Show them to your partner who, let’s say, used 4NT = CPA Relay! With 7 card suit (or 6/5 bi-color) you must

- 134 - use the Formula for the 1st step CP answer: CP = 4*B# - 2 = 4*4 – 2 = 14 CP, 5 EQ So, you must use the 1 step CP answer over the 4NT Relay bid to show your partner 14 CP (A + 2K) along with 5 EQ (because of the 1st step CP answer with 7 card suit). ♠ ♥ ♦ ♣ Development of announces after 1♦ - 1♥! - 1♠ = B(2 - 4), 5♦ or 7♦, SHAPE / B2, 2272 → → 1NT! = Relay! Ask for 7♦ or 5♦ + shape → → 2♣ = B(2 - 4), 7♦ + SHAPE / B2, 2272 → 2♦! = Relay! 1st step answer for any 0274 → → 2♥ = 0472 or 0274 → 7♦ + shape SHAPE + Void → 2♠! = Relay! Ask for the exact → 2NT = 0472 → NT for 4♥, 7♦ + SHAPE + Void → 3♣ = 0274 → 7♦ + SHAPE + Void → 2♠ = 4171→ 7♦ + SHAPE → 2NT = 0373 → 7♦ + SHAPE + Void → 3♣ = 1273 → 7♦ + SHAPE

- 135 - → 3♦ = 2272 → B2, 8 CP, 4 EQ → 3♥ = 1372 → 7♦ + SHAPE → 2♦ = 2353→ 5♦ + SHAPE → 2♥ = 1453 → 2♠ = 4252 → 2NT = 0454 → 5♦ + SHAPE + Void → 3♣ = 1354 ♠ ♥ ♦ ♣ Development of announces after 1♦ - 1♥! → → 1NT = B(2 - 4), 5♦ or 7♦, COLOR / B(2.5), 2272 → → 2♣! = Relay! Ask for 7♦ or 5♦ + shape → → 2♦ = B(2 - 4), 7♦ + COLOR / B(2.5), 2272 → 2♥ = Relay! The 1st step answer is for any 2074 → → 2♠ = 2074 or 4072 → 7♦ + COLOR + V → 2NT = B2+, Ask for the exact shape → 3♣ = 2074 → 7♦ + COLOR + Void → 3♦ = 4072 → ♦ for 4♠, 7♦ + COLOR + Void Void → 2NT = 3073 --> 7♦ + COLOR + → 3♣ = 2173 → 7♦ + COLOR → 3♦ = 2272 → B(2.5), 10 CP, 4 EQ

- 136 - → 3♥ = 1471→ 7♦ + COLOR → 3♠ = 3172 → 2♥ = 2452 → 5♦ + COLOR → 2♠ = 4153 → 2NT = 3253 → no S / V → 3♣ = 3154 → 3♦ = 4054 → 5♦ + COLOR + Void ♠ ♥ ♦ ♣ Development of announcements after 1♦ - 1♥! → → 2♣ = B(2 - 4), 5♦ or 7♦, RANK / B(3 - 4), 2277 → 2♦! = Relay! Ask for 7♦ or 5♦ + shape → 2♥ = B(2 - 4), 7♦ + RANK / B(3 - 4), 2272 any 4270 → 2♠ = Relay! The 1st step answer for → 2NT = 2470 or 4270 → 7♦ + RANK + Void shape 7♦ + RANK + Void → 3♣ = Ask for the exact → 3♦ = 4270 → ♦ for 4♠, → 3♥ = 2470 → 7♦ + RANK + Void → 3♣ = 1174 → 7♦ + RANK → 3♦ = 2272→ B(3 - 4), 4 EQ → 3♥ = 2371 → 3♠ = 3271

- 137 - → 3NT = 3370 → 7♦ + RANK + V → 2♠ = 4351 → 5♦ + RANK → 2NT = 3352 → no S / V → 3♣ = 2254 → 3♦ = 4450 → 5♦ + COLOR + Void → 3♥ = 3451 ♠ ♥ ♦ ♣ Development of announces after 1♦ - 1♥! - 2♦ = B(2 - 4), 6♦ or 8♦, SHAPE → 2♥! = GF! B2+, 1st step answer is for Void / S+V → → 2♠ = 6♦ or 8♦, SHAPE + Void or S+V → → 2NT! Ask for the exact shape. → 3♣ = 0364 → 6♦ + SHAPE + Void → 3♦ = 0463 → unusual, 6♦ + SHAPE + Void → 3♥ = 0382 → 8♦ + SHAPE + Void → 3♠ = 0283 → ♠ for 3♣, 8♦ + SHAPE + Void → 3NT =B3, 0481→ NT for 4♥, 8♦ + SHAPE + S+V → 4♣ = B3, 0184 → 8♦ + SHAPE + S+V → 2NT = 3262 → 6♦ + SHAPE, no S / V (5 bids before B#) → 3♣ = 1264 → 6♦ + SHAPE → 3♦ = 1363 → 3♥ = 1462

- 138 - → 3♠ = 3181 → 8♦ + SHAPE + 2 Singletons → 3NT = B2, 1282 → 8♦ + SHAPE, no Void → 4♣ = B(2.5), 1282 → 8♦ + SHAPE, no Void → 4♦ = B3, 1282 → 8♦ + SHAPE, no Void → 4♥ = B(2.5), 1282 → 8♦ + SHAPE, no Void → 4♠ = B4, 1282 → 8♦ + SHAPE, no Void ♠ ♥ ♦ ♣ Development of announces after 1♦ - 1♥! → → 2♥ = B(2 - 4), 6♦ or 8♦, COLOR → → 2♠! = GFRelay! B2+, the 1st step answer is for V / S+V → 2NT = 6♦ or 8♦, COLOR + Void or S+V → 3♣! =Ask for the exact shape → 3♦ = 4063 → ♦ for 4♠, 6♦ + COLOR + V → 3♥ = 3064 → ♥ for 4♣, 6♦ + COLOR + Void → 3♠ = 3082 → 8♦ + COLOR + V → 3NT = 2083 → unusual, 8♦ + COLOR + Void → 4♣ = 1084 → 8♦ + COLOR + S+V → 4♦ = 4081 → ♦ for 4♠, 8♦ + COLOR + S+V → 3♣ = 2164 → 6♦ + COLOR (5 bids before 8 card suit with different B#s) → 3♦ = 3163 → 3♥ = 1381 → 8♦ + COLOR + 2

- 139 - Singletons → 3♠ = 4162 → 8♦ + COLOR → 3NT = 2362 → 6♦ + COLOR, no S / Void Void Void Void Void → 4♣ = B2, 2182 → 8♦ + COLOR, no → 4♦ = B(2.5), 3163 → 6♦ + COLOR, no → 4♥ = B3, 2182 → 8♦ + COLOR, no Void → 4♠ = B(2.5), 4162 → 8♦ + COLOR, no → 4NT = B4, 2182 → 8♦ + COLOR, no ♠ ♥ ♦ ♣ Development of announces after 1♦ - 1♥! → → 2♠ = B(2 - 4), 6♦ or 8♦, RANK → 2NT! = Relay!The 1st step answer is forVoid or Singleton + Void (S+V) → 3♣ = 6♦ or 8♦, RANK + Void or S+V → 3♦! = Relay!Ask for the exact shape. → 3♥ = 3460 → ♣ for 4♥, 6♦ + RANK + Void RANK + Void Void → 3♠ = 4360 → ♦ for 4♠, 6♦ + → 3NT = 2380 → 8♦ + RANK + → 4♣ = 3280 → 8♦ + RANK +

- 140 - Void → 4♦ = B(2 - 3), 4180 → ♦ for 4♠, 8♦ + RANK + S+V → 4♥ = B(2 - 3), 1480→ 8♦ + RANK + S+V → 3♦ = 3361 → 6♦ + RANK (5 bids before B#) → 3♥ = 2461 → 3♠ = 4261 → 3NT = 2263 → 6♦ + RANK, no S / V → 4♣ = 1183 → 8♦ + RANK + 2 Singletons → 4♦ = B2, 2281 → 8♦ + RANK, no Void → 4♥ = B(2.5), 2281 → 8♦ + RANK, no Void Void → 4♠ = B3, 2281 → 8♦ + RANK, no Void → 4NT = B(3.5), 2281 → 8♦ + RANK, no → 5♣ = B4, 2281 → 8♦ + RANK, no Void Development of announces after 1♦ - 1♥ → Overcall → 1st step answer (the bounding bid) = B(2 - 2.5), 5+ ♦, weak From 2nd step with B(3 - 4) starts SCOR – SCOR in 6 steps → 1st step is for a weak hand with B(2 - 2.5) !! → 2nd step = B(3 - 4), 5♦ or 7♦, SHAPE / B3, 2272 → 3rd step = 5♦ or 7♦, COLOR / B(3.5), 2272 → 4th step = 5♦ or 7♦, RANK / B4, 2272

- 141 - → 5th step = 6♦ or 8♦, SHAPE → 6th step = 6♦ or 8♦, COLOR → 7th step = 6♦ or 8♦, RANK + Void or S+V The Extended SCOR starts from the 8th step with a JUMP only when the Responder proves strong, B(3.5)+ 5 steps with, of which 4 steps with 6 card suit + 1 step for any 3811 along with some steps depending on the maximum B# of any 1822 for all of them. → NT bid = 2263 → 6♦ + RANK, no S / V → ♣ bid = 1183 → 8♦ + RANK + 2 Singletons → ♦ bid = 3361 → 6♦ + RANK → ♥ bid = 2461 → 3♠ bid = 4261 → NT bid = B3, 2281 → 8♦ + RANK, no Void → ♣ bid = B(3.5), 2281 → 8♦ + RANK, no Void → ♦ bid = B4, 2281 → 8♦ + RANK, no Void ♠ ♥ ♦ ♣ Force Point (Fp) Formulas Formulas for upgrading the B# for a long 7+ card suit or for 6+/5+ bi-color For 7+ cards (in one hand) upgrade your B# by using the Formula:

- 142 - 0.5 * (n - 6) where is the number of cards in the long suit (as you may see, for 6 cards, you add nothing). So, for 7 card suit add 0.5, for 8 card suit add 1.0, for 9 card suit add 1.5 and for 10 card suit add 2.0 For any 5+/5+ bi-color, upgrade your B# by using the Formula: 0.5 * (m - 10) where is the sum of the cards in both bi-color suits (as you may see, for 5/5 bi- color you add nothing). So, for 6/5 bi-color add 0.5, for a 6/6 or 7/5 bi- color add 1.0 and for a 7/6 or 8/5 bi-color add 1.5 ♠ ♥ ♦ ♣

- 143 - DISTRIBUTIONS AND SIDE SUITS To ignite your imagination when using SCOR - SCOR Convention pay attention to the possible card distributions and to the side suits (marked bold)! The examples below are with 5+ cards: ♦ Basic suit + SHAPE side suits. The idea is the same with any other 5+ card Basic and any of SHAPE, COLOR or RANK side suits. The answers are natural, semi - natural using Fp trick (the conjuring gag) for showing 1 suit by the announcement of its rounded suit (including NT as if it is a suit) or special (for the shapes with Voids only). With any 5 to 8 card suit you may have any one of about 120 possible distributions for any of the SHAPE, COLOR and RANK side suits. To show the Void with any 5 card suit, your partner must use NT bid or use the Basic suit bid (which comes first). the combinations are 7 for a 7 card Basic suit (6 + 1 extra, any 7222, which is not SHAPE), i.e., : 0472, 0274, 0373, 1372, 1273, 4171 (+ 2272 ) To show the Void with 7 card suit, Fp always uses the 1st step answer after the side suits are already been shown! NOTE: Fp puts any 2272 shape with a

- 144 - different B# along with the first 3 answers by SCOR- SCOR & distinguishes them on the next Relays! For example, with 6 or 8 card Basic ♦ suit + SHAPE side suits, the shape combinations are: 0364, 0463, 3262, 1363, 1462, 1264 0283, 0382, 0481, 0184, 1282, 3181 To show a Void or S+V with any 6 or 8 card Basic suit after showing SHAPE, COLOR or RANK side suits. On a new Relay, the 1st step answer is reserved for any 6 or 8 cards + Void or S+ V, and the next steps are for any 6 or 8 cards, no Void. When your B# >= 3.5 & you have 6 or 8 cards with RANK side suits Fp uses directly the 6th step for the answer (after the 1st Relay), showing directly RANK side suits + Void or S+V, and the next steps are for any 6 or 8 cards, no Void, thus distinguishing the exact shapes! For example, with 9 card Basic ♦ suit + SHAPE sidesuits, the combinations are 5: 4090, 2191, 0292, 0391, 0193 ♠ ♥ ♦ ♣

- 145 - REMINDER The maximum number of EQ for the 1st step CP answers for bi-colors, with different lengths, is: m - 6, where ‘m’ is the sum of the cards in both bi-color suits. Try to remember that ! ♠ ♥ ♦ ♣ How CP & EQ change depending on your shape & the CPA step answers 1. For up to 6 card suit or for a 5/5 bi-color: The CPA answers: The 1st step answer ALWAYS will show: CP = 4*B# along with 4 EQ The 2nd step CP answer ALWAYS will show: CP = 4*B# + 2 along with 3 EQ The 3rd step answer ALWAYS will show: CP = 4*B# + 4 along with 2 EQ The 4th step CP answer ALWAYS will show: CP = 4*B# + 6 along with 1 EQ The 5th step CP answer will show: CP = 4*B# + 8 along with zero EQ ♠ ♥ ♦ ♣

- 146 - 2. For 7 card suit or for a 6/5 bi-color : The CPA answers The 1st step answer ALWAYS will show: CP = 4*B# - 2 along with 5 EQ The 2nd step CP answer ALWAYS will show: CP = 4*B# along with 4 EQ The 3rd step answer ALWAYS will show: CP = 4*B# + 2 along with 3 EQ The 4th step CP answer ALWAYS will show: CP = 4*B# + 4 along with 2 EQ The 5th step CP answer ALWAYS will show: CP = 4*B# + 6 along with 1 EQ ♠ ♥ ♦ ♣ 3. For 8 card suit or 6/6 or a 7/5 bi-color): The CPA answers : The 1st step answer ALWAYS will show: CP = 4*B# - 4 along with 6 EQ The 2nd step CP answer ALWAYS will show: CP = 4*B# - 2 along with 5 EQ The 3rd step answer ALWAYS will show: CP = 4*B# along with 5 EQ The 4th step CP answer ALWAYS will show: CP = 4*B# + 2 along with 4 EQ

- 147 - The 5th step CP answer ALWAYS will show: CP = 4*B# + 4 along with 3 EQ ♠ ♥ ♦ ♣ 4. For 9 card suit or 7/6 or a 8/5 bi-color) The CPA answers : The 1st step answer ALWAYS will show: CP = 4*B# - 6 along with 7 EQ The 2nd step CP answer ALWAYS will show: CP = 4*B# - 4 along with 6 EQ The 3rd step answer ALWAYS will show: CP = 4*B# - 2 along with 5 EQ The 4th step CP answer ALWAYS will show: CP = 4*B# along with 4 EQ

- 148 - Board 7 NORTH ♠QJ2 ♥AK3 ♦KQT74 ♣A9 WEST EAST ♠K98 ♠T753 ♥QT965 ♥J742 ♦J832 ♦A96 ♣J ♣Q3 SOUTH ♠A64 ♥8 ♦5 ♣KT876542 Both Vulnerable, Opponents Pass throughout NORTH EAST SOUTH WEST 1♦ Pass 1♥! Pass 2♣ Pass 2♦! Pass 2NT Pass 3♣! Pass 4♥ Pass 4♠! Pass 5♣ Pass 5♦! Pass 5♥ Pass 6♣ All Pass 1♦ = B(2 – 4), 5+ ♦ card Basic suit 1♥! = RF! Ask for the overall shape 2♣ = 3rd step answer by SCOR-SCOR for RANK 2♦! = GF! Ask for the 2nd longest suit (exact shape)

- 149 - 2NT = 3352, no S / V 3♣! = Relay! Ask for the exact B# NOTE: North showed B4, 5 card suit The 1st step answer will be for B2 only. The 2nd step answer will be for B(2.5) only. The 3rd step answer will be for B3 only. The 4th step answer will be for B(3.5) only The 5th step combined answer will show CP = 4*B# = 4*4 =16 CP, 4 EQ The 6th step combined answer will show CP = 4*B# + 2 = 4*4 + 2 = 18 CP, 3 EQ The 7th step combined answer will show CP = 4*B# + 4 = 4*4 + 4 = 20 CP, 2 EQ. That is the correct answer. The 8th step combined answer will show CP = 4*B# + 6 = 4*4 + 6 = 22 CP, 1 EQ The 9th step combined answer will show CP = 4*B# + 8 = 4*4 + 8 = 24 CP , no EQ 4♥ = 7th step combined actual answer will show CP = 4*B# + 4 = 4*4+ 4 = 20 CP (2A + 2K) along with 2 real Queens 4♠! = Ex Relay! Ask for the Kings’ suits by SCOR 5♣ = 2nd step answer for 2 COLOR Kings (red / black). Obviously red because South has the black King. 5♦! = Relay! Ask for the Queens’ suits by SCOR 5♥ = 1st step answer for 2 SHAPE Queens

- 150 - Thinking ! PL = 4 (North’s B#) + 2.5 (South’s B#) + 1 (for10 ♣ Trumps) – 0.5 (for ‘bad’ Singleton in ♦ or ♥) –1 (for ‘bad’ Singleton in ♥ or ♦) = 6 for statistically50 % finesse Small SLAM CP = 20 + 10 = 30 for statistically no SLAM (50 % Small SLAM with 2 FITs / Super FIT + a good side suits). 6♣ = Final Contract (probably overbid if no finesse!) The Bidding in BBO was: 1♦ Pass 3♣ pass 3NT All GENERAL NOTE: With B4, after the Relay for the exact B#, to save 2 steps of valuable bidding space, instead of showing only your B#, you may use a combined answer for the B# & Controls (CP) starting from the 5th step, as they are marked in Sysnotes computer program - the digitized version of Fp Bidding. The bids from the 1st to 4th step answers are for B2, B(2.5), B3 & B(3.5) respectively. The 5th step combined answer will show B4 & CP = 4*B#= 4*4 = 16 CP, 4 EQ The 6th step combined answer will show again B4 & CP =4*B# + 2 = 4*4 + 2 = 18 CP, 3 EQ The 7th step combined answer will show again B4 & CP = 4*B# + 4 = 4*4 + 4 = 20 CP, 2 EQ. That will be the particular correct answer. The 8th step combined answer will show again B4 & CP =4*B# + 2 = 4*4 + 6 = 22 CP, 1 EQ

- 151 - The 9th step answer will show again B4 & CP = 4*B# + 4 = 4*4 + 8 = 24 CP, no EQ So, the answers after: 3♣! = Relay! Ask for the exact B# may be: 1st step = 3♦ = B2 2nd step = 3♥ = B(2.5) 3rd step = 3♠ = B3 4th step = 3NT = B(3.5) 5th step = 4♣ = B4 & CP = 4*B# = 4*4 = 16 CP = B4 & 16 CP, 4 EQ 6th step = 4♦ = B4 & CP = 4*B# + 2 = 4*4+2 = 18 CP = B4 & 18 CP, 3 EQ 7th step = 4♥ = B4 & CP = 4*B# +4 = 4*4+4 = 20 CP = B4 & 2 EQ) 20 CP, 2 EQ. That will be the answer for this particular case. 8th step = 4♠ = B4 & CP = 4*B# + 6 = 4*4+6 = 22 CP = B4 & 22 CP, 1 EQ 9th step = 4NT = B4 & CP = 4*B#+8 = 4*4+8=24 CP = B4 & 18 CP, no EQ 4♥ = B4 along with 20 CP, 2 EQ NOTE: By comparison, the answer without the combined B# & CP was 4NT, so you saved 2 steps of valuable bidding space by using the combined answer of B# & CP If it is difficult for you, do not use it; show your B# as usual & continue with CPA; no big deal in most cases!

- 152 - Board 8 NORTH ♠J2 ♥AK ♦K85 ♣KT9842 WEST EAST ♠Q5 ♠T8763 ♥T9872 ♥J643 ♦Q3 ♦6 ♣A763 ♣QJ5 SOUTH ♠AK94 ♥Q5 ♦AJT9742 ♣ The dealer was Santa Claus! NS Vulnerable SOUTH WEST NORTH EAST 1♦ 1♥ DBL! 2♥ 2NT Pass 3♣! Pass 3♦ Pass 3♥! Pass 3♠ Pass 4♣! Pass 4♦ Pass 4NT! Pass 5♦ Pass 6♣ Pass 5♥! 6♦ Pass All Pass

- 153 - 1♦ = B(2 to 4), 5+ ♦ card suit, actually B(3.5) 1♥ = West's bid DBL! = B(0.5)+, Relay! Ask for the side suits 2♥ = East's bid After that bid, the Opponents Pass Throughout 2NT = 3rd step answer for B(3 - 4), 5♦ or 7♦ + Void + RANK (♥ + ♠) side suits / B4, 2272 3♣! = Relay! Ask for 7♦ or 5♦ + shape 3♦ = 1st step answer for 7♦ + RANK / B4, 2272 3♥! = Relay! The 1st step answer is for any 4270 3♠ = 2470 or 4270 →7♦ + RANK + Void 4♣! = Relay! Ask for the exact shape (3NT = Signoff) 4♦ = ♦ for 4♠, 4270 exact shape (Fp Jig) 4NT! = Relay! Ask for the exact B# 5♦ = 2nd step answer for exact B# = 3.5 NOTE: South showed B(3.5), 7 card Basic suit 5♥! = CPA Relay! Ask for CP & EQ. The 1ststep CP answer will be for 4*B# - 2 = 4*3.5 - 2= 12 CP, 5 EQ (3 real Queens + 1 EQ in the Void & 1 EQ in the 7 card suit).. The 2ndstep answer for CP will be for 4*B # = 4*3.5 =14 CP, 4 EQ (2 real Queens + 1 EQ in theVoid & 1 EQ in the 7 card suit). The 3rd step CP answer will be for 4*B# + 2 = 4*3.5 + 2 = 16 CP, 3 EQ (1 real Queen + 1 EQ in the Void & 1 EQ in the 7 card suit). That will be the correct answer for this particular case ! The 4thstep CP answer will be for 4*B# + 4 = 4*3.5 + 4 = 18 CP, 2 EQ (1 EQ in the Void & 1 EQ in the 7 card suit)

- 154 - 6♣ = the 3rd step actual answer for CP = 4*B# + 2 = 4*3.5 + 2 = 16 CP, 3 EQ Thinking ! The PL = B(3.5) + B(2.5) + 1 (for 10 Trumps) – 1 (for a King opposite the Void) = 6 for statistically 50% Small SLAM. The Total CP in both hands are 22 + 18 = 40CP forstatistically 100% GRAND SLAM 6♦ = Final Contract In BBO the Bidding went: 1♦ p 2♣ p 2♠ p 2NT p 4♦ p 4♥ p 6♦ All Pass REMINDER The most important principle when you have a Singleton King & the Quest asks for CP is to add 4 CP for the disappeared value of your usual Singleton before answer. If the Quest doesn't discover immediately that you have a Singleton King, s/he will perform a comparison with your previously shown B# with the recalculated B# for equality by using the information about your Aces, Kings and Queens obtained after the CPA. Suppose, your partner's 2371 distribution is: ♠Qx ♥AQx ♦AQxxxxx ♣K with B(3.5), 16 CP = 2A+ K, along with 4 EQ, 3 real Queens and 1 EQ for the7th card in the long suit).

- 155 - In this case your partner MUST show: B(3.5), 20 CP (not only 16 CP) with 1 EQ which obviously will be not true, because the partner has at least 2 EQ (a Singleton & a 7 card suit). So, the Quest will discover immediately that the partner has a Singleton King. In the cases when the Quest couldn't discover immediately a Singleton King, s/he must recalculate the B# for comparison with the previously shown B#. If both B#s are equal, the partner doesn't have a Singleton King, but if they are different, the partner has a Singleton King along with 1 more real Queen ! 3rd place Bulgaria youth Team July 2022 The Bulgarians are good even without Force Point, but if they want 3rd place at the Bermuda Bowl, they will need to check what Fp system is.

- 156 - Board 9 NORTH ♣Q8 ♥953 ♦J96532 ♣Q7 WEST EAST ♣AT ♣72 ♥K76 ♥AQJ4 ♦7 ♦AKT4 ♣AKT9853 ♣J62 SOUTH ♣KJ96543 ♥T82 ♦Q8 ♣4 E-W vulnerable. Only EW play Fp SOUTH WEST NORTH EAST 3♠ 4♣ Pass 4♦! Pass 5♥ Pass 5♠! Pass 6♥ Pass 7♣ Pass Pass Pass 3♠ = 7-11 HCP, 7♠ (most systems’ casual barrage bid for killing eventual SLAM) 4♣ = B4+ (4th Level natural Overcall in Minor suit,Vulnerable), 7+ ♣ Basic suit

- 157 - From that point, the Opponents Pass Throughout 4♦ = B1+ Ask for the overall / exact shape Min PL = B4 + B(2.5) + 1 (for 10 ♣ Trumps) = 7.5 5♥ = 2317 exact shape 5♠! = Direct CPA Relay! Direct Relay for CP & EQ. With over NT partner's 1st Overcall no asking for the exact B# !). REMEMBER THAT !! The 1st step CP answer will be for 4*B# - 2 (with 7 cards) = 4*4 - 2 = 14 CP, 5 EQ 6♥ = 4th step actual CP answer will show 20 CP (2A + 2K), 2 EQ Thinking ! PL = 4 + 2.5 + 1 (for 10 Trumps) = 7.5 for statistically 100 % GRAND SLAM CP = 20 + 16 = 36 CP for statistically 100 % GRAND SLAM 7♣ = Final GRAND SLAM Contract for 2-3 more miserable IMPs than the Small SLAM Contract ! Too bad for the World Bridge Federation to continue to keep and defend such a miserable difference. Do you suspect why? Because the “Super” Experts do not have weapons to catch the GRAND SLAMS with confidence ! In BBO the Bidding went: 3♠ 3NT p 4NT p 6♣ All Pass making 6♣ + 1

- 158 - Board 10 NORTH ♠52 ♥963 ♦AKT32 ♣A76 WEST EAST ♠KQJT8 ♠97643 ♥J8 ♥T54 ♦97 ♦Q86 ♣T543 ♣J8 SOUTH ♠A ♥AKQ72 ♦J54 ♣KQ92 West Dealer. N-S Vulnerable, only NS play Fp WEST NORTH EAST SOUTH 2♠ 3♦ 3♠ DBL! Pass 3NT Pass 4♣! Pass 4♦ Pass 4♠! Pass 4NT Pass 5♣! Pass Pass 6♣ Pass Pass Pass 6♥ 2♠ = West’s preemptive bid (statistically, such bids are made with B(0), no VUL, B(0.5), VUL , usually 6 card suit) 3♦ = B2+, 5+ ♦ 3♠ = East's barrage (info for you: statistically B0), so max expected EW PL = 0 for 3 down, no VUL) DBL! = Relay! Ask for the overall shape

- 159 - From that point, Opponents Pass Throughout 3NT = 1st step answer for 5♦ / 7♦, SHAPE / B2, 2272 4♣! = B1+, Relay! Ask for 7♦ or 5♦ + exact shape 4♦ = 2353 exact shape 4♠! = Ex Relay! Ask for the exact B# 4NT = 1st step answer for exactly B2 NOTE: North showed B2, 5 card Basic suit 5♣! = CPA Relay! Ask for CP & EQ. The 1st step answer for CP = 4*B# = 4*2 = 8 CP, 4 EQ The 2nd step answer for CP = 4*B# + 2 = 4*2 + 2 = 10 CP, 3 EQ The 3rd step answer for CP = 4*B# + 4 = 4*2 + 4 = 12 CP, 2 EQ The 4th step answer for CP = 4*B# + 6 = 4*2 + 6 = 14 CP, 1 EQ The 5th step answer for CP = 4*B# + 8 = 4*2 + 8 = 16 CP, no EQ. This is the correct answer ! 6♣ = 5th step actual answer for exactly 16 CP (2A +K), no Queens Thinking ! PL = B2 + B(4.5) = 6.5 for statistically 100% small SLAM CP in both hands = 16 + 20 = 36 for statistically 100% GRAND SLAM 6♥ = Sign Off

- 160 - Board 11 NORTH ♠AKT983 ♥832 ♦ ♣K652 WEST EAST ♠Q52 ♠J6 ♥QJT976 ♥K54 ♦Q7 ♦AJ642 ♣83 ♣JT9 SOUTH ♠74 ♥A ♦KT9853 ♣AQ74 Dealer East, neither Vulnerable; only NS play Fp EAST SOUTH WEST NORTH 1♦ 1NT 2♥ DBL! 3♥ All Pass 4♥ Pass 4♠ 1♦ = East's (Opponent's) Opening 1NT = B(2 - 3), 5+ ♦; NOTE: With B(3.5)+ bid DBL ! 2♥ = West's natural bid DBL! = B(0.5)+, Relay! Ask for the side suits.

- 161 - 3♥ = East's bid 4♥ = 7th step Exchanged answer (including the steps of Pass and DBL) for 6 card ♦ suit + COLOR (obviouslyblack) side suits Pass = West's bid Thinking! ♠ PL = B3 + B2 + 1 (for Opponents' Super FIT in ♥ suit) - 1 (for 6 ♦ cards oppositea Void) = 5, so no SLAM at al (do not duplicate if ♦ Void is a “bad”Void). 4♠ = Signoff NOTE: No need to calculate South's CP except for practice CP = 4*B# + 4 = 4*3 + 4 = 16 CP The total CP in both hands = 16 + 14 real + 6 (pseudo in ♦ suit) + 4 (pseudo in ♥ suit) = 40 CP for statistically100% Grand SLAM Anyway, no SLAM at all because of the low PL !All Pass In BBO the Bidding : 1♣ 1♦ 2♥ 3♠ p 4♠ All Pass

- 162 - 1♥ Opening The explanation after 1♥ and 1♠ Openings are absolutely the same as after 1♦ Opening. Open 1♥ or 1♠ with strength of B(2 - 4), 5 to 8 cards. Board 12 NORTH ♠AKQ862 ♥843 ♦Q4 ♣A6 WEST EAST ♠543 ♠97 ♥65 ♥K92 ♦KJT872 ♦95 ♣42 ♣KJT873 SOUTH ♠JT ♥AQJT7 ♦A63 ♣Q95 E-W vulnerable, Opponents Pass throughout NORTH EAST SOUTH WEST 1♠ Pass 1NT! Pass 3♣ Pass 3♦ Pass 3NT Pass 4♣ Pass 4♠ Pass 4!NT! Pass 5♥ Pass 5♠! Pass 5NT Pass 7♥ All Pass 1♠ = B(2 - 4), 5+ ♠

- 163 - 1NT! = B(0.5)+, Relay! Ask for the side suits 3♣ = B(2 – 4), 6♠ or 8♠, RANK (waiting bid !) 3♦! = Relay! Ask for the exact shape. 3NT = 6322 exact shape (ambiguous balance) 4♣! = Ask for the exact B# 4♠ = the 3rd step answer for exactly B3 NOTE: North showed B3, 6 card Basic suit 4NT! = CPA Relay! Ask for CP & EQ. The 1st step answer will be for CP = 4*B# = 4*3 = 12 CP, 4 EQ The 2nd step answer will be for CP = 4*B# + 2 = 4 *3 + 2 =14 CP, 3 EQ The 3rd step answer will be for CP = 4*B# + 4 = 4 *3 + 4 =16 CP, 2 EQ. That’s the correct answer ! The 4th step answer will be for CP = 4*B# + 6 = 4* 3 + 6 =18 CP, 1 EQ The 5th step answer will be for CP = 4*B# + 8 = 4* 3 + 8 =20 CP, no EQ 5♥ = 3rd step actual answer for exactly 16 CP (2A + K)along with 2 Queens 5♠! = Relay! Ask for the King’s suit 5NT = King ♠ (natural answer for alone King) Thinking! Can I play 6♠ or 6♥ with a total of 28 CP only? Where is ♥ King? ♥ PL = B3 + B2 + 0.25* (force*point, Tempo Adjustment for 4 Aces) + 1 (for ♠ FIT with all 3 TOP Honors) = 6.25* for statistically 75 % Small Slam (7.25* if ♥ King is onside).

- 164 - ♠ PL = B3 + B2 + 0.25* (force*point, Tempo Adjustment for 4 Aces) = 5.25* for statistically no Small Slam in a suit ! In both cases, the Small Slam may go down if ♥ King is offside ! Everyone will bid 6, would you bid 7 ? There is no sense in playing only a Small SLAM when it may go down anyway! 6♥ = Final Contract 7♥ if you want to be 1st or last (VA-Bank Grand Slam) ! In the BBO the Bidding went: 1♣ 2♣ 2♥ p 3♥ 4♦ 6♥ All Pass ♠ ♥ ♦ ♣

- 165 - In cases when your partner has shown a Singleton, always spend a few seconds for a backward check of your partner’s previously declared B# using the Fp Counting. When you discover your partner’s exact shape, the Base Number (B#) and the Control Points (CP), you will know the exact number and kind of all partner’s TOP Honors (Aces + King + Queens). Suppose your partner has shown an exact shape of 1732 along with B# = 3.5 After the CPA Relay with 7 card suit ! The 1st step answer for CP = 4*B# - 2 = 4*3.5 - 2 = 12 CP, 5 EQ The 2nd step answer for CP = 4*B# = 4*3.5 + 0 = 14 CP, 4 EQ The 3rd step answer for CP = 4*B# + 2 = 4*3.5 + 2 = 16 CP, 3 EQ The 4th step answer for CP = 4*B# + 4 = 4*3.5 + 4 = 18 CP, 2 EQ NOTE: If the partner has a Singleton King, he will also have and 1 additional real Queen by principle !! ♠ ♥ ♦ ♣

- 166 - Board 13 NORTH ♠Q64 ♥8 ♦Q8742 ♣Q983 WEST EAST ♠A72 ♠KJ83 ♥AQJ74 ♥K652 ♦KJ65 ♦AT3 ♣T ♣65 SOUTH ♠T95 ♥T93 ♦9 ♣AKJ742 Neither Vulnerable, only EW play Fp system SOUTH WEST NORTH EAST 3♣ 1♥ DBL Pass 4♣ 1♠! Pass! Pass 4♦ Pass 4NT! Pass 5♣ Pass 5♦! Pass Pass 5NT Pass Pass Pass 6♥ 1♥ = B(2 – 4), 5+ ♥ Pass = North’s bid 1♠! = B(0.5)+, Relay! Ask for the side suits 3♣ = South’s barrage Overcall DBL = 2nd step answer (1st step = Pass) for B(3 – 4), SHAPE (♠ + ♦) side suits. After the

- 167 - Opponent’s Overcall, the 1st step answer of PASS will show the strength of B(2 – 2.5), weak, so the SCOR- SCOR answers start from the 2nd step by using DBL / RDBL for space saving & showing strength of B(3 – 4) 4♣ = North's bid raising the barrage. Pass! = Pass-Relay! Ask for the 2nd longest suit. NOTE: If you already used 1 active Relay, using Pass - Relays afterward can save you a huge Bidding space! From that point, the NS Pass Throughout 4♦ = 3541 exact shape, natural bid for 2nd longest 4NT! = Relay! Ask for the exact B# 5♣ = 1st step answer for exactly B3 NOTE:West showed B3, 5 card Basic suit 5♦! = CPA Relay! Ask for CP & EQ. The 1st step answer will be for CP = 4*B# = 4*3 = 12 CP, 4 EQ 5NT = 3rd step actual answer for exactly 16 CP (2A + K) along with 2 EQ Thinking! PL = B3 + B(1.5) + 1 (for ‘good’ ♣ Single) + 0.5 (for 9 ♥ Trumps) = 6 for statistically 50% Small SLAM CP = 16 + 14 + 4 (pseudo for ♣ Singleton) = 34 for statistically 100% Small SLAM 6♥ = Signoff ♠ ♥ ♦ ♣

- 168 - Board 14 NORTH ♠AT ♥A3 ♦AQJT5 ♣8754 WEST EAST ♠5 ♠KQJ876432 ♥KQT9864 ♥75 ♦K8 ♦3 ♣KJ6 ♣9 SOUTH ♠9 ♥J2 ♦97642 ♣AQT32 NS Vulnerable, both sides use Fp WEST 1♥ NORTH 2♦ EAST DBL! SOUTH RDBL! Pass 2NT Pass! 3♣! 3♦ 4♣ Pass! 4♦! Pass 4NT Pass! 5♣! DBL All Pass 5♥ 5♠ DBL W: 1♥ = B(2 - 4), 5+ ♥ N: 2♦ = B(2 – 3), 5+♦ E: DBL! = B(0.5)+, Relay! Ask for the side suits (actual B# = 2) S: RDBL! = B(0.5)+, Relay! Ask for the overall shape W: Pass = B(2 – 2.5), weak

- 169 - N: 2NT = 3rd step answer for 5♦ + RANK E: Pass! = Pass-Relay! Ask for the overall shape (Pass-Relay are used for space saving) S: 3♣! = Relay! Ask for the exact shape W: 3♦ = 3rd step answer by SCOR – SCOR (counting Pass and DBL bids) for 5♥ or 7♥ card Basic suit + RANK side suits (♣ + ♦) N: 4♣ = 2254 exact shape. The 2nd longest suit, which is NOT one of the previously shown RANK suit, so North DOES NOT HAVE a Singleton E: Pass! = Pass-Relay! Ask for the exact shape. The 1st step answer is reserved for any of 0742 or 0724 (7♥ card Basic suit + RANK side suits + Void) S: 4♦! = Relay! Ask for the exact B# W: Pass = 1st step answer for 7 card ♥ suit thus postponing the answer for the exact shape N: 4NT = 3rd step answer for exactly B3 E: Pass! = Pass - Relay! Ask for the exact shape S: 5♣! Ask for CP & EQ. The 1st step answer will be for CP = 4*B# = 4*3 = 12 CP, 4 EQ W: DBL = 1723 exact shape. The 2nd step semi- natural answer (counting Pass and DBL bids) for the 2nd longest suit, which is one of the previously shown RANK suits, so West DOES HAVE a Singleton in the 4th, not-mentioned ♠ suit ! NOTE: North showed B3, 5 card suit The 1st step answer for CP = 4*B# = 4*3 = 12 CP, 4 EQ N: 5♥ = 4th step actual answer (counting Pass

- 170 - and DBL bids) for 18 CP, 1 EQ Thinking ! (by East) EW Play Level (PL) = West’s B(2 to 2.5) + East’s B2 + 0.5 (for 9 ♥ Trumps) = 4.5 to 5 E: 5♠ = Barrage, non-Vulnerable for expectingmax 1 down if there is 1 “bad” Singleton (but there are 2) Thinking ! (by South) The PL = B3 + B(0.5) + 1.0 (upgrading for Opponents’ ♠ Super FIT) + 1.0 (upgrading for Opponents’ ♥ Super FIT) + 0.5 (for 5 by 5 ♦ Super FIT) + 0.5 (for 5 by 4 ♣ Super FIT) - 0.5 (for more than 2 Positive Adjustments) = 6 for statistically 50% Small SLAM The CP = 18 + 6 + 4 (pseudo for Opps' Super FIT in ♠) = 28, so no SLAM at all ! S: DBL All Pass

- 171 - Simplified Force Point Counting Singleton Ace = 2 contract tricks Ace = 1.5 King = 1.0 Singleton King = 0.5 !! Queen = 0.5 Any Singleton = 0.5 (except Singleton Ace). Void = 0.5 ! For 7 card mono suit (with at least one Honor), add 0.5, for 8 cards, add 1.0 and so on … The Formula is: 0.5*(n - 6), where ‘n‘ is the number of cards in the long suit. For any 7222 add 0.5 for the 3 doubletons in addition to 0.5 for the 7 card suit. For 6/5 bi-color add 0.5, for 6/6 bi-color add 1, for 7/6 bi-color add 1.5. Do not duplicate the count of the 7 card suit by counting it separately in the bi- color ! The Formula is: 0.5*(m - 10), where ‘m‘ is the sum of the cards in both long suits. Add 0.5 for 9 card Super FIT in your or in your Opponents’ hand; respectively, add 1.0 for your 10 card Super FIT in your or in Opponents’ hand, BUT ADD ONLY 0.5 for your 5 by 5 Super FIT). Subtract 1.0 for any King opposite a Void (‘bad’ Void) or a Singleton (‘bad’ Singleton) except in the Trump suit. This is the core of the Fp system !

- 172 - FP PENALTY RULE OF 13 Fp can calculate Opponents' Penalty tricks by the Rules below and if the sum reaches 13, you can use the Penalty DBL with the assurance that the opponents will be at least 1 down ! Make the sum of: 1. Your own Play Level (PL) you want to play 2. The Play Level on which the Opponents intend to play. 3. If you have Aces or the King of Opponents’ Trump suit, count each of them as 2 4. If you have any other Kings or other Opponents’ Trumps, count each of them as 1 5. If you have 4 of Opponents’ Trumps with an Honor (including TEN), add an extra 1, for 5 of Opponents’ Trumps, add an extra 2 How many down the opponents will be depends on the sum you reach If the sum is 13 - 14, the opponents will be 1+ down. If the sum is 14 - 15, the opponents will be 2+ down. If the sum is 15 - 16, the opponents will be 3+ down. If the sum is 16 - 17, the opponents will be 4+ down. This is the killing weapon !

- 173 - Be aware that if the Opponents have long suits (crazy distribution), the above is not true! You must use "Penaly Rule of 16" instead ! In such cases, you will be able to sense that because of the opponents' Jumps and be aware that the Penalty Rule of 13 becomes a Penalty Rule of 16, so it is better to use it with exceptional caution. In such cases, it is better not to use it ! The Penalty Rule is a very good weaponfor catching Opponents with at least 1 down and DBL them, instead of going 1 down by yourself ! NOTE: Penalty Rule of 13 becomes Penalty Rule of 16 when the Opponents possess very longsuit(s) ! ♠ ♥ ♦ ♣

Board 14 repeated NORTH ♠AT ♥A3 ♦AQJT5 ♣8754 WEST EAST ♠5 ♠KQJ876432 ♥KQT9864 ♥75 ♦K8 ♦3 ♣KJ6 ♣9 SOUTH ♠9 ♥J2 ♦97642 ♣AQT32 NS Vulnerable. Only NS play Fp WEST NORTH EAST SOUTH 1♥ 2♦ 4♠ DBL Pass 5♦ 5♠ Pass Pass DBL All Pass 1♥ = West’s Opening DBL = B(2.5)+, balanced or B(3.5)+, any 5+ card suit 4♠ = East’s bid DBL = Relay! B(0.5) + 1 (after upgrading for ♠ Singleton) = B(1.5), any shape Pass = West’s bid 5♦ = North’s bid 5♠ = East’s bid 174

- 175 - Pass = South’s bid Pass = West’s bid DBL = B(3.5)+, Penalty! (by North) The ‘Penalty Rule of 16’ will show: 5 (Opponents’ PL) + 5 (NS PL) + 6 (for 3Aces) + 1 (for 1 small ♥ Trump) = 17 for at least 2 down for sure ! All Pass ♠ ♥ ♦ ♣ Let's check the Penalty Rule of 16 with long Opponents' suits Suppose the EW Opponents want to play on 5th Level, NS want to play on 5th Levelin ♦ too.. The sum is 10. North proved to have: CP = 4*B# + 4 = 4*3.5 + 4 = 18 CP which will be 3 Aces or 1 Ace + 3 Kings. Counting every Ace for 2 & every King for 1, North will add 5-6 and along with 1 small Trump, the sum grows to 16-17 for 1 or 2 down. Let check NS PL and Total CP Pay attention that both sides play Fp, so all of them understand the Opponents' bid perfectly ! North showed 18 CP, South has 6 real + 4 (pseudo in ♠ suit) = 10 CP, so NS Total CP = 28, exactly for a game in Minors !

- 176 - NS PL = North’s B3 + South’s B(0.5) + 1 (for a ‘good’ Singleton in Opponents’ ♠ suit) + 0.5 (for 10 ♦ Trump cards) - 1 (downgrading by 0.5 for the Opponent’s each Super FIT in ♥ & ♠ suits) = 5 for 50% Game in ♦, so DBL is the best option. NOTE: 5♦ can be made with master play by putting West ‘in hand,’ preventing him of making 2 ♣ tricks ! BBO Bidding: 1♥ 2♦ 4♠ 5♦ p p 5♠ p p 6♦ All Pass ♠ ♥ ♦ ♣

- 177 - Fp Counting for Players Who Prefer to Use the Classical HCP Singleton Ace = 7 HCP (Ace + Void = 4 + 3 = 7 HCP) Ace = 4 HCP King = 3 HCP Queen = 2 HCP, Jack = 1 HCP Singleton (except the Singleton Ace) = 2 HCP Void = 3 HCP For up to 4 card suit with at least 2 TOP Honors, add additional HCP = the number of the TOP Honors in the suit (your Jack becomes a TOP Honor when you have AKQ in the same suit) For AK(xx) or KQ(xx) add 2 additional HCP (count the Honor separately) For AKQ(x) add 3 additional HCP (count the Honors separately) For AKQJ add 4 additional HCP (count the Honors separately) For any 5+ card suit with 2 TOP Honors, add: n - 4 HCP, where 'n' is the number of cards in the suit For 6+/5+ bi-color add: n - 9 HCP, where 'n' is the number of cards in both bi-color suits Your B# (the contract tricks) = (T - 5)/4, where ‘T’ are your Total HCP. Pay attention that T - 5 must always be approximated to an even number! It is very important to know how to

- 178 - approximate your T - 5 result when it shows an odd number: Add 1 HCP with balanced hands (no 6+ card suit, no pseudo S / V suits), but subtract 1 HCP with unbalanced hands! The game’s Play Level (PL) = sum of both partners' B#s For a Trump Super Fit of 9 cards in both hands, or for a 'good' Void or for a Misfit or FIT with the 2 Controls or when opponents bid your Void suit, upgrade your B# (respectively your PL) with 0.5 contract tricks. For a Trump Super Fit of 10+ cards in both hands, for a 'good' Singleton, for a 2nd FIT with the 3 TOP Honors or when the opponents bid your Singleton suit, upgrade your B# with 1 contract trick. No more Adjustments are necessary with this Counting. It may be very important for the casual bridge systems that are not able to discover the exact player’s distribution. A precise Counting helps in discovering the Slams that most players cannot sense. Mr. Jordan Gechev contributed to that Counting. ♠ ♥ ♦ ♣

- 179 - Force Point (Fp) Counting will help you count your hand directly in contract tricks (the tricks that are above the initial 6 tricks, which are not counted in the game of bridge). The sum of both hands' contract tricks, yours and your partner, will give you the game's Play Level. No need for evaluations by the time of the initial count. When you discover your partner's exact shape, you may ask for exact number of the contract tricks, thus finding your exact PL. After that, the Quest must apply some adjustments (if any). With Fp you will be able to discover all of your partner's Aces + Kings + Queens with one only question - one answer and the number of Queens and the Singleton King (if any) in your partner’s possession without asking for them ! By using SCOR - SCOR Convention for all of your Distribution and Control needs, you will be able to see transparently the exact TOP Honors and the lengths of the suits of your partner’s hand before the play starts. This is a Double Dummy Bidding alike. Use the “Penalty Rule of 13” to decide when to penalize your opponents or to barrage them. If you bought the book, you can download the “Sysnotes” - the digital version of the Force Point bridge system (no installation needed). Keep it open for help by the time you play live or on the Internet. You can download and install both Sysnotes & the Force Point Demo computer program for manually playing by Fp rules, with the option for playing against GIB & using the bids in Sysnotes for practice and faster learning of Force Point Bidding System.

- 180 - Board 15 NORTH ♠ ♥AJT972 ♦Q ♣Q98742 WEST EAST ♠AK7432 ♠QT95 ♥4 ♥Q3 ♦JT54 ♦AK2 ♣KJ ♣T653 SOUTH ♠J86 ♥K865 ♦98763 ♣A Dealer West. NS Vulnerable, all use Fp system WEST NORTH EAST SOUTH 1♠ 2♠ DBL! RDBL 4♦ 5♦ Pass! 5♥! 5♠ Pass 5NT! 6♥ DBL Pass 6♠ DBL All Pass W: 1♠ = B2+, 5+♠ N: 2♠ = B2+, 5+/5+ SHAPE bi-color excluding ♠ suit

- 181 - E: DBL! = Relay! Ask for the side suits / exact shape. Minimum PL = 2 + 1.5 + 0.5 (for 9 ♠ cards) = 4 S: RDBL! = Relay! Ask for the 2/3/6+ card suit W: ♦= 6142 exact shape, Extended SCOR bid (The 1st step answer is for B(2 – 2.5) only, weak) N: 5♦ = 7th step answer for 6♥ + 6♠ E: Pass! = Pass-Relay! Ask for the exact B# S: 5♥! = Relay! Ask for the Singleton W: DBL = 2nd step answer for B(2.5) N: Pass = 0616 → for ♦ Singleton (DBL will be for 1606 → ♠ Singleton) Thinking! (by East) EW PL = B(2.5) + B(1.5) + 1.0 (Adjustment for 10 ♠ Trumps) + 1.0 (Adjustment for the 'good' ♥ Singleton because of the Opponents’ Super FIT in that suit) = 6 for statistically 50% Small SLAM E: 5NT! = Pass - Relay! (CPA Relay!) The 1st step answer for CP = 4*B# = 4*3 = 12 CP, 4 EQ Thinking! (by South) NS PL = B3 + B1 + 1.0 (Adjustments for the 'good' Void in ♠) + 1.0 (Adjustment for 10 ♥ Trumps = 6 for statistically 50% Small Slam! S: 6♥ = Signoff W: DBL = 2nd step answer for 14 CP = A + 2K

- 182 - along with 3 EQ (1 EQ + 2 EQ for the upgrade). N: Pass E: 6♠ = Signoff (barrage for 1 down). EW CP = 14 + 4 pseudo (West) + 10 (East) = 28, so no Slam at all ! S: DBL = Penalty! ‘Penalty Rule of 13’ (16 with crazy distributions) showing 17 for at least 1 down! All Pass Board 16 For the PDF only: Click on the picture with the right mouse button, then on the symbol of + to expand the diagrams for better viewing. ♠ ♥ ♦ ♣

- 183 - Board 17 The same board with open hands ♠ ♥ ♦ ♣

- 184 - Board 18 NORTH ♠K642 ♥6542 ♦AK94 ♣7 WEST EAST ♠T5 ♠9873 ♥QT73 ♥KJ98 ♦6532 ♦T87 ♣A85 ♣K6 SOUTH ♠AQJ ♥A ♦QJ ♣QJT9432 NS Vulnerable & use Fp Bidding SOUTH WEST NORTH EAST 1♣ Pass 1♥! Pass 2♣ Pass 2♦! Pass 2♥ Pass 2♠! Pass 3♠ Pass 4♣! Pass 4NT Pass 5♣ All Pass 1♣ = B2+, any shape 1♥! = Relay! Ask for the length of the Basic suit or / and side suits 2♣ = 5 or 7 card Basic ♣ suit + SHAPE or 2227 2♦! = Relay! Ask for 7 or 5 card suit + shape 2♥ = 1st step answer for 7♣

- 185 - 2♠! = Relay! Ask for the 2nd longest suit (the 1st step answer will be for4027 or 2047, SHAPE + Void) 3♠ = 3127 exact shape 4♣! = Relay! Ask for the exact B# (3NT bid will be Absolute Signoff 4NT = 4th step answer for exact B# = 3.5 Thinking ! PL = B(3.5) + B2 = 5.5 for 100% Game in Minors The expected South's CP = 4*B# - 2 = 4*3.5 - 2 = 12 + 4 (pseudo for ♥ Singleton) = 16, so the CP in both NS hands = 16 + 14 CP = 30 CP, mre than enough for game in Minors). 5♣ = Obviously Signoff (5♦ bid will be CPA) All Pass ♠ ♥ ♦ ♣

- 186 - Let me show the Bidding Mechanism after 1 in suit Opening, for example, after: 1♥ - 1♠! = B(0.5)+, RF! → No Overcalls If there isn’t an Opponent’s Overcall, the SCOR – SCOR Convention will start from the 1st step: - 1NT = B(2 - 4), 5♥ or 7♥, SHAPE / B2, 2722 (1st step answer) → Find the 1st continuation ! - 2♣ = 5♥ or 7♥, COLOR / B(2.5), 2722 (2nd step answer) → Find the 2nd continuation ! - 2♦ = 5♥ or 7♥, RANK / B(3 – 4), 2722 (3rd step answer) → Find the 3rd continuation ! - 2♥ = 6♥ or 8♥, SHAPE (4th step answer) → Find the 4th continuation ! - 2♠ = 6♥ or 8♥, COLOR (5th step answer) → Find the 5th continuation ! - 2NT = 6♥ or 8♥, RANK (6th step answer) → Find the 6th continuation !

- 187 - Let me show the Bidding Mechanism after the same 1 in suit Opening, with an Overcall → 1♥ - 1♠! = B(0.5)+ → Overcall If there is an Opponent’s Overcall, the 1st step will be for a weak hand, so the SCOR – SCOR Convention will start from the 2nd step: 1st step answer (PASS) is reserved for a weak hand: B(2 – 2.5), 5+ ♥ only. 2nd step answer (DBL) = B(3 - 4), 5♥ or 7♥, SHAPE / B2, 2722 (1st step answer) → the same as after 1st continuation, but with B(3 - 4) stronger. 3rd step answer = B(3 - 4), 5♥ or 7♥, COLOR / B(2.5), 2722 (1st step answer) → the same as after 2nd continuation, but with B(3 - 4), stronger. 4th step answer = B(3 - 4), 5♥ or 7♥, RANK / B(3 – 4), 2722 (1st step answer) → the same as after 3rd continuation, but with B(3 - 4), stronger. 5th step answer = B(3 - 4), 5♥ or 7♥, SHAPE → the same as after 4th continuation, but with B(3 - 4), stronger. 6th step answer = B(3 - 4), 5♥ or 7♥, COLOR → the same as after 5th continuation, but with B(3 - 4), stronger. 7th step answer = B(3 - 4), 5♥ or 7♥, RANK → the same as after 6th continuation, but with B(3 - 4), stronger → The 1st continuation! ♠ ♥ ♦ ♣

- 188 - Development of the bids after 1♥ - 1♠! → → 1NT = B(2 - 4), 5♥ or 7♥, SHAPE / B2, 2722 (1st step answer) → → 2♣ = GF Relay! Ask for 7♥ or 5♥ + shape → 2♦ → B(2 - 4), 7♥ + SHAPE / B2, 2722 → find the 1.1 continuation! → 2♥ → 3532 → 5♥ + SHAPE → 2♠ → 4531 → 2NT → 4540 → 5♥ + SHAPE + Void → 3♣ → 2524 → 3♦ → 3541 ♠ ♥ ♦ ♣ Development of the bids after 1♥ - 1♠! - 1NT → → 2♣! (Relay!) → Ask for 7♥ or 5♥ + shape → 2♦ = B(2 - 4) , 7♥ + SHAPE → The 1.1 continuation! → 2♥(F) = the 1st step answer is for any 4720 Void → 2♠ = 2740 or 4720 → 7♥ + SHAPE + → 2NT! Ask for the exact shape. → 3♣ = ♣ for 4♠, 4720 → 7♥ + SHAPE + Void Void → 3♦ = 2740 → 7♥+ SHAPE + → 2NT = 3730 → 7♥ + SHAPE + Void

- 189 - (use NT bid for 3 by 3 in the side suits with 7 card Basic suit) →3♣ = 1714 → 7♥ + SHAPE (natural bid for the 2nd longest suit) → 3♦ = 2731 → NT for 3♦, 7♥ + SHAPE (Fp Jig bid) → 3♥ = 2722 --> B2, 8 CP, 4 EQ (natural bid with 3 Doubletons) → 3♠ = 3721, natural for the 2nd longest ♠ ♥ ♦ ♣ Development of the bids after 1♥ - 1♠! → → 2♣ = B(2 - 4), 5♥ or 7♥, COLOR / B2, 2722 (2nd step answer) → find the 2.2 continuation! → → 2♦ = Relay! Ask for 7♥ or 5♥ + shape → 2♥ = B(2 - 4), 7♥ + COLOR / B(2.5), 2722 → 2♠ = 4513 → 5♥ + COLOR → 2NT = 3523 → no S / V → 3♣ = 3514 → 3♦ = 2542 → 3♥ = 4504 → 5♥ + COLOR + Void ♠ ♥ ♦ ♣

- 190 - Development of the bids after 1♥ - 1♠! - 2♣ → 2♦(Relay!) → PL+, Ask for 7♥ or 5♥ + shape → → 2♥ = B(2- 4), 7♥ + COLOR → The 2.2 continuation! → 2♠! (Relay!) → The 1st step answer is for any 2704 shape → 2NT = 2704 or 4702 → 7♥+ COLOR + Void → 3♣! = PL+, Ask for the exact → 3♦ = 4702 → ♦ for 4♠, 7♥ + COLOR + Void → 3♥ = 2704 → ♥ for 4♣. 7♥ + COLOR +Void → 3♣ = 2713→ 7♥ + COLOR (natural bid for the 2nd longest suit) → 3♦ = 1741 → 3♥ = 2722 --> B(2.5), 10 CP, 4 EQ (natural bid with 3 equal-length suits) → 3♠ = 3712 → 3NT = 3703 → 7♥ + COLOR (use NT for 3 by 3 in the side suits with 7 card Basic suit) ♠ ♥ ♦ ♣

- 191 - Development of the bids after 1♥ - 1♠! → → 2♦ = B(2 - 4), 5♥ or 7♥, RANK / B(3 – 4), B2, 2722 (3rd step answer by SCOR - SCOR) → 2♥ = Relay! Ask for 7♥ or 5♥ + shape → 2♠ = B(2 - 4), 7♥ + RANK / B(3 – 4), 2722 → Find the 3.3 continuation of 2NT! = Forcing Relay! → 2NT = 2533 → 5♥ + RANK, no S / V (for any 5 – 3 – 3 – 2 shape use NT or the Basic suit bid which came 1st, except with ♣ Basic suit) → 3♣ = 1534 → 3♦ = 1543 → 3♥ = 0544 → 5♥ + RANK + Void (but for any 5 – 0 – 4 – 4 shape use NT or the Basic suit bid which came 1st, except with ♣ Basic suit) → 3♠ = 4522

- 192 - Development of the bids after 1♥ - 1♠! → → 2♦ = B(2 - 4), 5♥ or 7♥, RANK / B(3 – 4), 2722 (3rd step answer) → 2♥ = Relay! Ask for 7♥ or 5♥ + shape → 2♠ = B(2 - 4), 7♥ + RANK / B(3 – 4), 2722 → The 3.3 continuation! → 2NT! (Forcing Relay!) → The 1st step answer is for any 0742 → 3♣ = 0724 or 0742 → 7♥ + RANK + Void exact shape + RANK + Void → 3♦! = Relay! Ask for the 3♥ = 0724 → ♥ for 4♣, 7♥ → 3♠ = 0742 → ♠ for 4♦, 7♥ + RANK + Void (Fp Jig) CP, 4 EQ → 3♦ = 1732 → 7♥ + RANK → 3♥ = 2722 → B(3 - 4), 10 - 14 → 3♠ = 4711 → 7♥ + RANK, natural bid for the 2nd longest suit → 3NT = 0733 → 7♥ + RANK,

- 193 - bid Basic suit for 3 by 3 in the side suits → 4♣ = 1723 → 7♥ + RANK, natural bid for the 2nd longest suit ♠ ♥ ♦ ♣ Development of the bids after 1♥ - 1♠! → → 2♥ = B(2 - 4), 6♥ or 8♥, SHAPE / B2, 2722 → The 4th continuation: → 2♠ (Forcing!) = The 1st step answer is for Void / S+V → 2NT = 6♥ or 8♥, SHAPE + Void or S+V → 3♣ = Ask for the exact shape → 3♦ = 3640 → 6♥ + SHAPE + Void (natural bid for the 2nd longest suit) → 3♥ = 4630 → unusual, 6♥ + SHAPE + Void → 3♠ = 3820 → 8♥ + SHAPE + Void (natural bid for the 2nd longest suit) → 3NT = 2830 → NT for 3♦, 8 ♥ + SHAPE + Void (Fp gag) → 4♣ = B3, 4810 → ♣ for 4♠, 8♥ + SHAPE + S+V (Fp Jig) → 4♦ = B3, 1840 → 8♥ + SHAPE + S+V (natural bid for the 2nd longest suit)

- 194 - Void Void Void → 3♣ = 1813→ 8♥ + SHAPE, no Void → 3♦ = 2641 → 6♥ + SHAPE → 3♥ = 3631 → 3♠ = 4621 → 3 NT = 2623 → no S / V → 4♣ = B2, 2821 → 8♥ + SHAPE, no → 4♦ = B(2.5), 2821 → 8♥ + SHAPE, no → 4♥ = B(3 - 4), 2821 → 8♥+ SHAPE, no ♠ ♥ ♦ ♣ Development of the bids after 1♥ - 1♠! → → 2♠ = B(2 - 4), 6♥ or 8♥, COLOR→ The 5th continuation: → 2NT (GF!) → The 1st step answer for Void / S+V S+V → 3♣ = 6♥ or 8♥, COLOR + Void or → 3♦! = Ask for the exact shape → 3♥ = 3604 → ♥ for 4♣, 6♥ + COLOR + Void (Fp Jig) → 3♠ = 4603 → 6♥ + COLOR + Void → 3NT = 3802 → unusual, 8♥ + COLOR + Void

- 195 - + Void → 4♣ = 2803 → 8♥ + COLOR → 4♦ = B3, 4801 → ♦ for 4♠, 8♥ + COLOR + S+V → 4♥ = B3, 1804 → ♥ for 4♣, 8♥ + COLOR + S+V no Void no Void → 3♦ = 1831 → 8♥ + COLOR, no Void → 3♥ = 3613 → 6♥ + COLOR → 3♠ = 4612 → 3NT = 2632 → no S / V → 4♣ → 2614 → 4♦ = B2, 2812 → 8♥ + COLOR, no V → 4♥ = B(2.5), 2812 → 8♥ + COLOR, → 4♠ = B3 2812 → 8♥ + COLOR, no V → 4NT = B(3.5), 2812 → 8♥+ COLOR, → 5♣ = B4, 2812 → 8♥ + COLOR, no V ♠ ♥ ♦ ♣ Development of the bids after 1♥ - 1♠! → → 2NT = B(2 - 4), 6♥ or 8♥, RANK / B(3 – 4), 2722 (the last 6th step of the SCOR – SCOR Convention) → The 6th continuation:

- 196 - S+V S+V → 3♣ (GF!) → The 1st step answer for Void / → 3♦ = 6♥ or 8♥, COLOR + Void or → 3♥! = Ask for the exact shape → 3♠ = 0634→ ♠ for 4♣, 6♥ + RANK + Void 6♥ + RANK + Void RANK + Void RANK + Void → 3NT = 0643 → NT for 4♦, → 4♣ = 0823 → 8♥ + → 4♦ = 0832 → 8♥ + → 4♥ = B3, 0814 → ♥ for 4♣, 8♥ + RANK + S+V (Fp Jig) → 4♠ = B3, 0841 → ♠ for 4♦, 8\h + RANK + S+V (Fp Jig) → 3♥ = 1633 → 6♥ + RANK + Void → 3♠ = 3811 → 8♥ + RANK , no Void → 3NT = 3622 → 6♥ + RANK, no S/ V → 4♣ = 1624 → 4♦ = 1642 → 4♥ = B2, 1822 → 8♥ + RANK, no V → 4♠ = B(2.5), 1822 → 8♥ + RANK → 4NT = B3, 1822 → 8♥ + RANK → 5♣ = B(3.5), 1822 → 8♥ + RANK → 5♦ = B4, 1822 → 8♥ + RANK

- 197 - 1♠ Opening Development of the bids after 1♠ - 1NT! → B(0.5)+ → 2♣ = B(2- 4), 5♠ or 7♠, SHAPE → 2♦ = Ask for 7♠ or 5♠ + shape → The 1st continuation: → 2♥ = 7♠ + SHAPE / B2, 7222 → 2♠ = Relay! The 1st step answer is for any 7204 SHAPE + Void exact shape → 2NT = 7402 or 7204 → 7♠ + → 3♣! = Relay! Ask for the → 3♦ = 7204 → unusual, 7♠ + SHAPE + Void SHAPE + Void → 3♥ = 7402 → 7♠ + → 3♣ = 7213 → 7♠ + SHAPE → 3♦ = 7141 → 3♥ = 7312 → 3♠ = 7222 → B2, 8 CP, 4

- 198 - EQ + Void → 3NT = 7033 → 7♠ + SHAPE → 2♠ = 5323 → 5♠ + SHAPE → 2NT = 5404 → 5♠ + SHAPE + Void → 3♣ = 5314 → 3♦ = 5242 → 3♥ = 5413 Development of the bids after 1♠ - 1NT! → B(0.5)+, Relay! → 2♦ = B(2- 4), 5♠ or 7♠, COLOR→ → 2♥ = Relay! Ask for 7♠ or 5♠ + shape → The 2nd continuation: → 2♠ = 7♠ + COLOR / B(2.5), 7222 → 2NT! = Relay! The 1st step answer is for any 7240 + Void shape + Void Void → 3♣ = 7402 or 7240 → 7♠ + COLOR → 3♦ = Relay! Ask for the exact → 3♥ = 7420 → 7♠ + COLOR → 3♠ = 7240 → ♠ for 4♦, 7♠ + COLOR + Void → 3♦ = 7231 → 7♠ + COLOR → 3♥ = 7321 → 3♠ = 7222 → B(2.5), 10 CP, 4 EQ → 3NT = 7330→ 7♠ + COLOR + → 4♣ = 7114

- 199 - → 2NT = 5332 → 5♠ + COLOR → 3♣ = 5224 → 5♠ + COLOR → 3♦ = 5341 → 5♠ + COLOR → 3♥ = 5431 → 5♠ + COLOR → 3♠ = 5440 → 5♠ + COLOR + Void ♣ ♦ ♥ ♠ Development of the bids after 1♠ - 1NT! → B(0.5)+ , 2♠+ Honor / 3+♠ / B(1.5)+ any shape → 2♥ = 3rd step answer for B(2- 4), 5♠ or 7♠, RANK → →2♠! = Ask for 7♠ or 5♠ + shape → The 3rd continuation: → 2NT = 7♠ + RANK / B(2.5), 7222 → 3♣! → The 1st step answer is for any 7024 → 3♦ = 7024 or 7042 → 7♠ + 4 card suit, RANK + Void → 3♥ ! = PL+, Ask for the exact shape → 3♠ = 7024 → ♠ for 4♣, 7♠ + RANK + Void → 3NT = 7042 → NT for 4♦, 7♠ + RANK + Void (Fp Jig) → 3♥ = 7411 → 7♠ + RANK → 3♠ = 7132 → ♠ for 3♦, 7♠ + RANK → 3NT = 7033 → 7♠ + RANK → 4♣ = 7123 → 7♠ + RANK → 4♦ = 7132 → 3♣ = 5134 → 5♠ + RANK

- 200 - → 3♦ = 5143 → 5♠ + RANK → 3♥ = 5422 → 5♠ + RANK → 3♠ = 5233 → 5♠ + RANK → 3NT = 5044 → 5♠ + RANK+ Void ♣ ♦ ♥ ♠ Development of the bids after 1♠ - 1NT! - 2♠ = B(2 - 4), 6♠ or 8♠, SHAPE → 2NT! (GF!) = The 1st step answer is for Void or S+V → The 4th continuation: → 3♣ = 6♠ or 8♠, SHAPE + Void or (S + V) → 3♦! = Ask for the exact shape → 3♥ = 6304 → 6♠ + SHAPE + Void → 3♣ = 6♠ or 8♠, SHAPE + Void or (S + V) → 3♦! = Ask for the exact shape → 3♥ = 6304 → 6♠ + SHAPE + Void → 3♦ = 6403 → unusual, 6♠ + SHAPE + Void → 3♥ = 8302 → 8♠ + SHAPE + Void → 3♠ = 8203 → ♠ for 3♣, 8♠ + SHAPE + Void → 3NT = 8401→ NT for 4♥, 8♠ + SHAPE + S+V → 4♣ = 8104 → 8♠ + SHAPE + S+V → 3♦ = 8131 → 8♠ + SHAPE, no Void → 3♥ = 6412 → 6♠ + SHAPE → 3♠ = 6313 → 6♠ + SHAPE → 3NT = 6232 → no S / V → 4♣ = 6214