0000
0000000
0000000000
002556
006525
052056
056052
056250
056502
506205
525600
525600minutes
655200
7r
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
big
big^8
bigbigbig
bigbigbigbigbig
bigbigbigbigwater
decmwaterhegamr
EaRtH
earth
earthair
f7
f7re
f7ri
fer7
fir
fir7
firewater
fiter
hot
iar
ira
love^16
lovelove
lovelovelovelovelove
minutes
Quickly
r7
rai
rererer
ria
stone
The
the^03
the^05
the^07
the^08
the^09
the^11
the^13
the^16
the^40
the^56
WaTeR
water
water0123456789
waterbottle
whisky
witer
Wizards
zebra
(empty string)
0
00
000
00000 (0^5)
000000 (0^6)
00000000 (0^8)
000000000 (0^9)
0123456789
1
1o
1r
2
3
4
5
525600525600
5ire
6
6h
6ire
7
8
9
99
a
aa
abcdefghijklmnopqrstuvwxyz
ar
ater
b
bigbig
bigbigbigbig
Boxing
c
d
e
earthstone
er
f
f1re
f7r7
f8re
fe
fi
fier
fir4
fir5
FiRe
fire
firewhisky
Five
fr
fr7
freshwater
g
h
hotair
i
ii
iter
j
jackdaws
Jump
k
l
love
lovelovelove
lovelovelovelove
m
my
n
of
quartz
r
R
ri
rr
sphinx
the^02
the^04
the^06
the^10
the^12
the^14
the^24
tr
waer
wate
waterzebra
watr
wr
ws
wter
xx
xy
So for any given accepted koan, repetition seems to give a lot of yes and a lot of no, with some apparent patterns which might not actually hold up. That “the^24: no” killed off all the variants of the hypothesis I could think of.
Separately the behavior of the 0* set also contradicts all the fledgling ideas I had about what gets a yes in the first place.
0000
0000000
0000000000
002556
006525
052056
056052
056250
056502
506205
525600
525600minutes
655200
7r
aaa
aaaaa (a^5)
aaaaaaa (a^7)
aaaaaaaa (a^8)
aaaaaaaaa (a^9)
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
big
big^8
bigbigbig
bigbigbigbigbig
bigbigbigbigwater
decmwaterhegamr
EaRtH
earth
earthair
f7
f7re
f7ri
fer7
fir
fir7
firewater
fiter
hot
iar
ira
love^16
lovelove
lovelovelovelovelove
minutes
Quickly
r7
rai
rererer
ria
stone
The
the^03
the^05
the^07
the^08
the^09
the^11
the^13
the^16
the^40
the^56
WaTeR
water
water0123456789
waterbottle
whisky
witer
Wizards
zebra
(empty string)
0
00
000
00000 (0^5)
000000 (0^6)
00000000 (0^8)
000000000 (0^9)
0123456789
1
1o
1r
2
3
4
5
525600525600
5ire
6
6h
6ire
7
8
9
99
a
aa
aaaa
aaaaaa (a^6)
aaaaaaaaaa (a^10)
abcdefghijklmnopqrstuvwxyz
ar
ater
b
bigbig
bigbigbigbig
Boxing
c
d
e
earthstone
er
f
f1re
f7r7
f8re
fe
fi
fier
fir4
fir5
FiRe
fire
firewhisky
Five
fr
fr7
freshwater
g
h
hotair
i
ii
iter
j
jackdaws
Jump
k
l
love
lovelovelove
lovelovelovelove
m
my
n
of
quartz
R
r
ri
rr
sphinx
the^02
the^04
the^06
the^10
the^12
the^14
the^24
tr
waer
wate
waterzebra
watr
wr
ws
wter
xx
xy
Okay, yes, I would like a hint. I have one more thing I could try first, but there is evidence that it won’t give useful results. Just in case, though,
0000
0000000
0000000000
002556
006525
052056
056052
056250
056502
506205
525600
525600minutes
655200
7r
aaa
aaaaa (a^5)
aaaaaaa (a^7)
aaaaaaaa (a^8)
aaaaaaaaa (a^9)
AiR
air
aiR
aIr
aIR
Air
AIr
AIR
ari
big
big^8
bigbigbig
bigbigbigbigbig
bigbigbigbigwater
decmwaterhegamr
EaRtH
earth
earthair
f7
f7re
f7ri
fer7
fir
fir0
fir7
firewater
fiter
hot
iar
ira
love^16
lovelove
lovelovelovelovelove
minutes
Quickly
r7
rai
rererer
ria
stone
The
the^03
the^05
the^07
the^08
the^09
the^11
the^13
the^16
the^40
the^56
WaTeR
water
water0123456789
waterbottle
whisky
witer
Wizards
zebra
(empty string)
0
00
000
00000 (0^5)
000000 (0^6)
00000000 (0^8)
000000000 (0^9)
0123456789
1
1o
1r
2
3
4
5
525600525600
5ire
6
6h
6ire
7
8
9
99
a
aa
aaaa
aaaaaa (a^6)
aaaaaaaaaa (a^10)
abcdefghijklmnopqrstuvwxyz
ar
ater
b
bigbig
bigbigbigbig
Boxing
c
d
e
earthstone
er
f
f1re
f7r7
f8re
fe
fi
fier
fir1
fir4
fir5
fir6
fir8
fira
firc
fird
FiRe
fire
firewhisky
firf
firg
Five
fr
fr7
freshwater
g
h
hotair
i
ii
iter
j
jackdaws
Jump
k
l
love
lovelovelove
lovelovelovelove
m
my
n
of
quartz
R
r
ri
rr
sphinx
the^02
the^04
the^06
the^10
the^12
the^14
the^24
tr
waer
wate
waterzebra
watr
wr
ws
wter
xx
xy
I might have made the rule a little more baroque than is entirely appropriate.
The following is relevant and intended to be helpful rather than misleading.
a^1: no
a^2: no
a^3: yes
a^4: no
a^5: yes
a^6: no
a^7: yes
a^8: yes
a^9: yes
a^10: no
a^11: yes
a^12: no
a^13: yes
a^14: yes
a^15: yes
a^16: no
a^17: yes
a^18: no
a^19: yes
a^20: yes
ba^1 (ba): no
ba^2 (baa): yes
ba^3 (baaa): no
ba^4: yes
ba^5: no
ba^6: yes
ba^7: yes
ba^8: yes
ba^9: no
ba^10: yes
ba^11: no
ba^12: yes
ba^13: yes
ba^14: yes
ba^15: no
ba^16: yes
ba^17: no
ba^18: yes
ba^19: yes
ba^20: yes
0a^1: yes
0a^2: no
0a^3: yes
0a^4: no
0a^5: yes
0a^6: yes
0a^7: yes
0a^8: no
0a^9: yes
0a^10: no
0a^11: yes
0a^12: yes
0a^13: yes
0a^14: no
0a^15: yes
0a^16: no
0a^17: yes
0a^18: yes
0a^19: yes
0a^20: no
wa^1: no
wa^2: yes
wa^3: no
wa^4: yes
wa^5: yes
wa^6: yes
wa^7: no
wa^8: yes
wa^9: no
wa^10: yes
wa^11: yes
wa^12: yes
wa^13: no
wa^14: yes
wa^15: no
wa^16: yes
wa^17: yes
wa^18: yes
wa^19: no
wa^20: yes
01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20
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w N Y N Y Y Y N Y N Y Y Y N Y N Y Y Y N Y