Also, note that all of these leaves are maximal, so you couldn't do any better 
by throwing away more of the letters.
For example, EEEJRR 5 is surprising.  Keep EEE and RR with J?  Seems odd, but 
ER is only 3.8, EJR is 1.5.  So it's actually best to keep all 6.  (Although, 
it's hard to imagine a scenario where you would exchange with EEERRJ and one 
other letter... so it's not really telling you anything too useful)




________________________________
From: Eugene Deon <[email protected]>
To: Eugene Deon <[email protected]>; [email protected]
Cc: [email protected]
Sent: Monday, January 26, 2009 9:06:37 PM
Subject: [quackle] When to keep a non-CANISTER letter on your rack


This is based on the superleaves data that Quackle uses to value racks leaves 
for it's static evaluator and therefore is more accurate with a full bag (I 
think) and doesn't consider position at all.  So take from it what you will.

I usually try to keep CANISTER letters on my rack when I can't find a bingo and 
can't find a high point play, I sometimes wonder if I should keep my D or L or 
G or maybe O.  Keep the Z?  I dunno.  But what I do know is how to process text 
data using python.

These are CANISTER letter combinations that are improved by keeping ONE extra 
non-CANISTER tile, sorted by letter, and then by total value of the final 
leave.  To keep the lists shorter, and since S almost always improves the value 
by 8 points, I left out S.

This should spark some lovely debates.... especially AANQRT and AANQT.

B:
ABERTT 18
ABERRT 13
ABERT 12
ABCINR 12
ABCEIR 11
BEIRTT 11
ABEINT 10
ABCEIT 8
ABENRR 8
ABENR 7
ABEIRR 7
ABERR 7
ABER 6
ABCIR 5
BER 4
ABET 2
ABR 2

D:
ACDENR 27
ADEINR 25
ACDERT 23
ADEIRT 21
CDEERT 20
DEINRT 20
CDEIRT 19
ACDENT 19
ADEERT 19
ACDEIN 18
ACDEIR 18
CDEINT 18
CDEINR 17
ADEINT 17
DEEINR 16
ACDEER 16
ADERT 16
DEENRT 16
ACDER 16
DEINR 16
CDEENR 16
ADENR 15
DEIRT 14
ACDIRT 14
ADINRT 14
DEINT 14
DEEIRR 14
ACDEN 13
CDEENT 13
CDEIR 13
DEERT 13
CDEER 13
CDEIN 12
ADEIRR 12
DEENR 12
ADENTT 12
AACDIR 12
ADENT 12
DEENTT 11
ADINR 11
ACDET 11
ADER 10
CDENR 10
CDEEIT 10
DENR 10
DERT 10
CDIINT 10
CDER 10
CDEIIT 10
DEIR 9
CDEIT 9
ACDIN 9
ACDIR 9
DEER 8
DEENT 8
DEIN 8
DER 8
CDEEN 8
AACDNR 7
CDEN 7
ACCDEI 7
DENT 7
ACDNR 7
ADIRT 7
ADINT 7
ADEN 7
CDEET 7
ACDE 6
ADET 6
ACDR 6
ADNR 6
CDEI 6
DEN 6
DEIT 5
CDET 5
DINR 5
ACDIT 5
CDE 5
CDIN 4
AACCDI 4
ACDN 4
DET 4
CDIR 4
ADR 4
ADIN 3
DIRT 3
ACCDII 3
DIN 3
ACDI 2
ADN 2
DR 2
DE 2
ACD 2
DN 2
CDI 1
CD 1
ADT 1
D 0

F:
EFIRRT 16
EEFRRT 13
ACEFIN 12
EEFIRR 12
AEEFRT 12
EFIRTT 11
CEEFNR 10
EFIRT 10
AEFINR 9
AEFIRR 9
EFIRR 6
EEFRR 5
EFIR 4
AEFRR 4
AEFR 4
EFR 3

G:
AGINRT 28
AEGINR 26
AEGNRT 26
EGINRT 25
ACGINR 23
CEGINR 22
EEGINR 21
EGINR 19
AGINR 18
ACGINT 18
GIINRT 17
AGINNT 16
AEGNR 15
GIINNR 14
AEGINT 14
AGINT 13
GINRT 13
ACEGIN 13
AEGNNT 12
EGINT 12
GINR 11
AEGINN 11
AEGNT 11
ACGIN 10
GIINNT 10
AGNRT 10
CEGIN 9
EGNR 8
GINT 8
AGINN 8
EGIN 8
AGIN 8
AGNR 8
AEEGRR 6
CGIN 6
AEGN 5
GINN 5
AEGR 5
AGNT 5
GIN 4
EGN 3
AGN 3
GN 1

H:
ACEHRT 34
CEHIRT 28
ACEHNR 25
CEHINR 24
AEHNRT 21
AEEHRT 21
CEEHRT 21
EHINRT 21
ACEHRR 20
ACEHR 20
ACHIRT 20
ACEHNT 20
CEHNRT 19
CEHRT 18
ACEHTT 18
ACEHT 17
CEHINT 17
ACCEHN 17
CHIINT 17
CCEHIN 16
ACHINT 16
AEHRT 16
AACHRT 16
EEHNRT 15
ACHRT 15
CEHIR 15
ACEHIN 14
AEHINR 14
ACHINR 14
CEEHRR 14
ACCHIN 14
CEEHR 13
EEHINR 13
CEHR 13
EHIRT 13
ACEHN 12
CEHIT 12
CEHIN 12
ACCHIR 12
AACHNR 12
CHIRT 11
EEHRT 11
ACHNR 11
EHNRT 11
ACHR 11
EHRT 11
CEHNT 11
EHINR 10
CEHT 10
ACHNT 10
CHINR 10
ACHIT 10
CHINT 10
ACHT 9
AEEHNT 9
AEHNT 9
ACHIN 9
CEHN 8
AEHIRR 8
AEHNR 8
ACEH 8
CHIR 8
CEH 7
ACHN 7
CHIN 7
CHIT 7
CHRT 7
AEHR 7
CHR 6
ACH 6
AHRT 6
EHR 6
CH 5
AEHT 5
EHT 4
HIRT 4
AHR 3
HRT 3
EHN 3
HR 3
AHT 2
HT 2
EH 2
HN 1
H 1

J:
CEEJRT 13
EIJRTT 9
ACEEJT 8
EEEJRR 5
EEIJNN 4

K:
CEIKRT 18
CEIKNT 15
AEIKNT 14
ACEKNR 14
ACEKRR 14
ACEKR 12
CEIKRR 12
CCEIKR 12
CEIKR 10
EIKNR 9
CEKR 9
AEKNR 7
ACKNR 7
ACKR 7
CEIKT 6
CIKR 5
CIKN 5
CEK 5
AEKR 4
EKR 4
CKR 4
ACK 4
EIKN 3
CK 3
EKN 3
AKR 2
IKN 1
AKN 1
KR 1
KN 1
EK 0

L:
AEILRT 22
ACELRT 22
ACELNR 22
CEELRT 22
AEILNR 21
ACEILR 19
AELNRT 19
ACEILT 18
AEILNT 17
AELRT 16
ACELR 16
ACILNR 15
EILRTT 14
ACEILN 14
ACILRT 13
AACLNT 13
ACELT 13
ACCELN 13
EILRT 12
CEELNR 12
ACELN 12
CEEILN 12
AEELNR 11
ACCEIL 11
AELNR 11
ACCILN 11
EILNT 11
AELNT 11
ACILN 11
CEILN 10
AEILR 10
ACILT 9
CCEILR 9
ACILR 9
EILNR 9
AELR 9
CEILR 9
AILNT 9
ELRT 8
AEILN 8
CEILT 8
CEELNT 8
CEELR 8
AILRT 8
CELR 8
ACEL 7
AELT 7
AACCLR 7
ACLR 7
AACLTT 6
EILR 6
AILNR 6
ACLN 6
EILN 6
AELN 6
ACLT 6
CCIILN 6
ELR 5
ACCIL 5
CELT 5
CEELT 5
ACIL 5
ALRT 5
CELN 5
AILN 5
CILN 5
EILT 5
CEIL 4
CEL 4
ACL 4
ELT 4
ALNT 4
ILNT 4
ELN 3
AILR 3
ALR 3
CILT 3
AILT 3
ALT 2
ALN 2
CIL 2
ILN 2
CL 2
EL 2
LR 1
LN 1
ILT 1
LT 1
AL 0

M:
AEIMNT 27
AEIMRT 24
AEMNRT 19
AEIMNR 19
AIMNRT 18
ACIMNR 18
ACEIMN 17
EEIMRT 16
AAIMNT 16
AEEMRT 16
ACEEMR 15
AEMRT 15
AAMNRT 14
ACEIMR 14
ACEMNR 14
AIMNT 14
AEMNT 13
AEMNR 13
EEIMNT 13
EIMRT 13
ACEMR 12
EIMNT 12
AEIMRR 11
ACIMN 11
AIMNR 11
EIMNR 10
ACEIMT 10
AEIMR 9
AIMRT 9
CEIMR 9
EEMRT 9
AEIMN 9
CIIMNR 8
AEMR 8
CEIMN 8
CEEMNT 8
ACIMR 8
ACEMN 8
AMNRT 8
AEMN 7
EIMR 6
AIMN 6
AAMNT 6
AMNR 6
AEIMTT 6
AEIMT 6
AMRT 6
AMNT 6
ACIMT 6
CEIMT 5
EIMN 5
EMR 5
AEMT 5
ACMR 5
AIMR 5
AMR 4
ACEIM 4
IMNT 4
ACEM 4
IMNR 4
ACIM 4
AMN 4
EMN 4
EIMT 3
IMRT 3
AIMT 3
IMN 2
EMT 2
ACM 2
CEIM 2
MR 2
AMT 2
MN 1
EM 1
CIM 1
AM 0
M 0

O:
ACEORT 20
CENORT 19
CINORT 19
CEIORT 19
ACINOT 18
CEINOT 18
ACENOT 18
CEINOR 18
ACNORT 17
CCEORT 15
CEORT 14
ACINOR 13
ACIORT 12
CENOR 12
CCENOT 12
CENNOT 11
ACCINO 11
CENOT 11
CINOT 11
CINOR 11
ACORT 11
CCEIOR 10
CCEINO 9
ACNOT 9
ACNOR 9
CIORT 8
CNORT 8
INORT 8
CCEEOR 7
ACCIOR 7
CORT 6
CNOR 6
CINO 5
CENO 5
CNOT 5
NORT 3

P:
AEIPRT 23
CEIPRT 21
AEPRRT 19
AENPRT 19
ACIPRT 18
AEINPR 17
CEEIPR 17
AEINPT 16
AEEPRT 16
ACINPT 16
AEPRT 16
AINPRT 16
ACEINP 15
CEEPRT 15
ACEIPR 14
CEEPRR 13
EIPRT 13
CEIPR 13
ACEIPT 13
EINPR 12
AEIPRR 12
ACEPR 11
EEPRT 11
AIPRTT 10
CEEPR 10
EPRT 10
AENPR 10
CEENPT 9
AINPT 9
AENPT 9
AIPRT 9
ACEPT 9
CEINP 8
ACCIPR 8
AEPR 8
CEPR 8
ACIPT 8
ACINP 7
AINPR 7
CEIPT 7
ACENP 7
ACIPR 7
EIPR 7
CIPRT 6
APRT 6
EPR 6
AEIPTT 5
AEPT 4
IPRT 4
ACEP 4
CIPR 4
AEINP 4
CEIP 3
EINP 3
AENP 3
APR 3
EIPT 3
EPT 2
CEP 2
AINP 2
PR 2
ACIP 1
ACP 1
APT 1
INP 0
EP 0

Q:
AANQRT 9
AANQT 5

U:
CENRTU 14
ACNRTU 11

V:
EEIRRV 15
AEINTV 13
AEIRTV 13
CEEIRV 12
EEINRV 12
EERRTV 11
ACEIRV 10
ACEITV 9
EEINTV 8
AEENRV 8
AAIRTV 7
EERRV 6
AACIRV 5
AEIRRV 5
AEIRV 4
AERV 4
EIRV 4
EERV 4
AEITTV 3
AEITV 2

W:
EIRRTW 10
EERRTW 8
AEERRW 7
AEIRRW 4
AERRW 4

X:
CEERTX 22
CEIRTX 19
ACERTX 19
CEINTX 17
EENRTX 16
ACEITX 13
CEEITX 13
ACEINX 12
AEERTX 12
CEEIRX 12
AEINTX 12
CEINX 10
ACEERX 10
ACERX 10
CEIRX 10
AEINRX 10
ACETX 10
CEITX 9
AENNRX 9
EERTX 9
AENTTX 8
AEENNX 8
ACENNX 8
CEETX 8
CEERX 8
EENTTX 7
AEINX 7
AENNX 6
ACITX 6
EENTX 5
CETX 5
ERX 5
AENX 5
EINX 5
ENX 4
AETX 4
CEX 4
ETX 4
EX 3
X 3

Y:
ACENRY 14
ACENNY 10
ACNRTY 10
AENRRY 8
ACNRY 7
ARY 2
RY 2
CY 1
NY 1
TY 0

Z:
AEINTZ 20
AEIRTZ 18
AEINRZ 17
ACEIRZ 17
AINRTZ 16
CEINTZ 16
AEIRRZ 14
CCIINZ 14
ACINRZ 13
AEIRZ 13
EIRTZ 12
ACEINZ 12
EENRTZ 12
EINRZ 12
AERTZ 11
EINTZ 11
AEINZ 11
AENRZ 11
CEINZ 11
ENRTZ 10
AIINNZ 10
ACERZ 10
AANRTZ 10
AINRZ 10
ACINZ 10
AENTZ 10
AINTZ 10
AERZ 9
AIRTZ 9
ACIRZ 9
EINZ 9
AAENNZ 9
ACEITZ 9
EIRZ 9
CIINTZ 8
ERZ 8
ACENZ 8
AENZ 8
AINZ 7
IINRTZ 7
AACNRZ 7
AIRZ 7
ENZ 7
CINZ 7
AEITZ 7
AETZ 7
AAANNZ 7
ARZ 7
ACEIZ 6
EITZ 6
CEITZ 6
ACITZ 6
INZ 6
ETZ 6
EZ 6
ANZ 6
RZ 6
NZ 5
ACIZ 5
ATZ 5
ACZ 5
Z 5




    

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