Thread: "Melinda's physical 2^4 puzzle, full puzzle rotations"

From: Marc Ringuette <ringuette@solarmirror.com>
Date: Fri, 17 Nov 2017 11:38:56 -0800
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations



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On 11/16/2017 2:22 PM, 'Eduard Baumann' ed.baumann@bluewin.ch
[4D_Cubing] wrote:
> BIG question. Is it possible to change the two "inverted" colors by
> simple moves?

Hi, Ed,

I think you're asking about what Melinda calls a full-puzzle rotation.  
Yes, this is key to being able to solve the full 2^4 puzzle in the same
way on both the virtual and the physical versions.   You can use either
of these two move sequences to do it.

Melinda's new video of her classic FOro:
https://www.youtube.com/watch?v=d2Fh_1m0UVY
Marc's alternative FOro using the ROIL moveset: https://youtu.be/3gvrda5fMto

I call the result of these sequences FOro, because they both correspond
to the single click MC4D move that is a Front-Out ROtation.

Here's an old video of mine, cued up to 2:30 where I demonstrate
Melinda's classic FOro while I carefully keep the puzzle oriented on a
desk.   At the end I show the MC4D equivalent of the rotation I just did
(at about 3:25 of the video).
  https://www.youtube.com/watch?v=htTTn7qY35M&t=150s


I wonder who is going to be the first person to solve the physical 2^4
puzzle?   It's not me, yet.   I've been waiting for more people to have
the puzzle before I get back to trying to solve it.  I've come up with a
3-cycle algorithm, though, so that's a good start.  I also have a long
solution to the "double twisted corner" problem, I think, but I really
want to come to a more thorough understanding of the 12 orientations of
the 4-color pieces of a 4D hypercube.

A good milestone will be when somebody generates an MC4D scramble, sets
up that position on their physical puzzle, and then solves it on the
physical puzzle while following along with MC4D, resulting in both
puzzles being solved.


Cheers
Marc


p.s.  here's a collection of my relevant videos of the physical 2^4
puzzle, so you don't have to dig for them.  I've omitted the ones that
use the deprecated (parity violating) quarter puzzle moves. These are
still marked "unlisted" in YouTube, at Melinda's request, until her
Public Release (TBD).   These vids are not fantastic quality, but
they're what I've got.

2 over the shoulder intro v3  https://youtu.be/_rXJr4SokC0
3 special rotations FUro and FOro  https://youtu.be/htTTn7qY35M
4 overlap of natural moves  https://youtu.be/Dsu-5TTDNbM
07a a 3 cycle on phys 2^4  https://youtu.be/S8hm3CupPJAd
07b same 3 cycle on mc4d  https://youtu.be/XCaaXxij6bc
12 ROIL moveset intro  https://youtu.be/oYeh5fK8LCI
13 ROIL version of FOro  https://youtu.be/3gvrda5fMto
14 ROIL scrambling   https://youtu.be/ymnvMzypUp8
15 ROIL strict subset vs macro equivalents https://youtu.be/Iu7MKzD4yq0
16 ROIL meaning of junctions out positions https://youtu.be/xN_vn-6RnV8


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On 11/16/2017 2:22 PM, 'Eduard Baumann' ed.baumann@bluewin.ch
[4D_Cubing] wrote:

cite="mid:CBB8F3BC24B24AF79C729E0D9E5B90F2@LAB"> face="Arial">BIG question. Is it possible to change the two
"inverted" colors by simple moves?



Hi, Ed,



I think you're asking about what Melinda calls a full-puzzle
rotation.   Yes, this is key to being able to solve the full 2^4
puzzle in the same way on both the virtual and the physical
versions.   You can use either of these two move sequences to do it.



Melinda's new video of her classic FOro:  
https://www.youtube.com/watch?v=d2Fh_1m0UVY

Marc's alternative FOro using the ROIL moveset: 
https://youtu.be/3gvrda5fMto



I call the result of these sequences FOro, because they both
correspond to the single click MC4D move that is a Front-Out
ROtation.



Here's an old video of mine, cued up to 2:30 where I demonstrate
Melinda's classic FOro while I carefully keep the puzzle oriented on
a desk.   At the end I show the MC4D equivalent of the rotation I
just did (at about 3:25 of the video).

  https://www.youtube.com/watch?v=htTTn7qY35M&t=150s





I wonder who is going to be the first person to solve the physical
2^4 puzzle?   It's not me, yet.   I've been waiting for more people
to have the puzzle before I get back to trying to solve it.  I've
come up with a 3-cycle algorithm, though, so that's a good start.  I
also have a long solution to the "double twisted corner" problem, I
think, but I really want to come to a more thorough understanding of
the 12 orientations of the 4-color pieces of a 4D hypercube. 



A good milestone will be when somebody generates an MC4D scramble,
sets up that position on their physical puzzle, and then solves it
on the physical puzzle while following along with MC4D, resulting in
both puzzles being solved.





Cheers

Marc





p.s.  here's a collection of my relevant videos of the physical 2^4
puzzle, so you don't have to dig for them.  I've omitted the ones
that use the deprecated (parity violating) quarter puzzle moves. 
These are still marked "unlisted" in YouTube, at Melinda's request,
until her Public Release (TBD).   These vids are not fantastic
quality, but they're what I've got.



2 over the shoulder intro v3  https://youtu.be/_rXJr4SokC0

3 special rotations FUro and FOro  https://youtu.be/htTTn7qY35M

4 overlap of natural moves  https://youtu.be/Dsu-5TTDNbM

07a a 3 cycle on phys 2^4  https://youtu.be/S8hm3CupPJAd

07b same 3 cycle on mc4d  https://youtu.be/XCaaXxij6bc

12 ROIL moveset intro  https://youtu.be/oYeh5fK8LCI

13 ROIL version of FOro  https://youtu.be/3gvrda5fMto

14 ROIL scrambling   https://youtu.be/ymnvMzypUp8

15 ROIL strict subset vs macro equivalents 
https://youtu.be/Iu7MKzD4yq0

16 ROIL meaning of junctions out positions 
https://youtu.be/xN_vn-6RnV8






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From: "Eduard Baumann" <ed.baumann@bluewin.ch>
Date: Sat, 18 Nov 2017 00:05:28 +0100
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations



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Thanks a lot for all these hints.
I saw the youtubes before I had my own physical 2^4 and couldn't follow at =
that time.

It's really a marvelous puzzle and I recommend it to everybody.

Best regards
Ed


----- Original Message -----=20
From: Marc Ringuette ringuette@solarmirror.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Friday, November 17, 2017 8:38 PM
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations


=20=20=20=20
On 11/16/2017 2:22 PM, 'Eduard Baumann' ed.baumann@bluewin.ch [4D_Cubing]=
wrote:


BIG question. Is it possible to change the two "inverted" colors by sim=
ple moves?

Hi, Ed,

I think you're asking about what Melinda calls a full-puzzle rotation. =
Yes, this is key to being able to solve the full 2^4 puzzle in the same way=
on both the virtual and the physical versions. You can use either of the=
se two move sequences to do it.

Melinda's new video of her classic FOro: https://www.youtube.com/watch?=
v=3Dd2Fh_1m0UVY
Marc's alternative FOro using the ROIL moveset: https://youtu.be/3gvrda5=
fMto

I call the result of these sequences FOro, because they both correspond t=
o the single click MC4D move that is a Front-Out ROtation.=20

Here's an old video of mine, cued up to 2:30 where I demonstrate Melinda'=
s classic FOro while I carefully keep the puzzle oriented on a desk. At t=
he end I show the MC4D equivalent of the rotation I just did (at about 3:25=
of the video).
https://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s


I wonder who is going to be the first person to solve the physical 2^4 pu=
zzle? It's not me, yet. I've been waiting for more people to have the p=
uzzle before I get back to trying to solve it. I've come up with a 3-cycle=
algorithm, though, so that's a good start. I also have a long solution to=
the "double twisted corner" problem, I think, but I really want to come to=
a more thorough understanding of the 12 orientations of the 4-color pieces=
of a 4D hypercube.=20=20

A good milestone will be when somebody generates an MC4D scramble, sets u=
p that position on their physical puzzle, and then solves it on the physica=
l puzzle while following along with MC4D, resulting in both puzzles being s=
olved.


Cheers
Marc


p.s. here's a collection of my relevant videos of the physical 2^4 puzzl=
e, so you don't have to dig for them. I've omitted the ones that use the d=
eprecated (parity violating) quarter puzzle moves. These are still marked =
"unlisted" in YouTube, at Melinda's request, until her Public Release (TBD)=
. These vids are not fantastic quality, but they're what I've got.

2 over the shoulder intro v3 https://youtu.be/_rXJr4SokC0
3 special rotations FUro and FOro https://youtu.be/htTTn7qY35M
4 overlap of natural moves https://youtu.be/Dsu-5TTDNbM
07a a 3 cycle on phys 2^4 https://youtu.be/S8hm3CupPJAd
07b same 3 cycle on mc4d https://youtu.be/XCaaXxij6bc
12 ROIL moveset intro https://youtu.be/oYeh5fK8LCI
13 ROIL version of FOro https://youtu.be/3gvrda5fMto=20
14 ROIL scrambling https://youtu.be/ymnvMzypUp8
15 ROIL strict subset vs macro equivalents https://youtu.be/Iu7MKzD4yq0
16 ROIL meaning of junctions out positions https://youtu.be/xN_vn-6RnV8



=20=20
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=EF=BB=BF




Thanks a lot for all these hints.DIV>
I saw the youtubes before I had my ow=
n=20
physical 2^4 and couldn't follow at that time.

 

It's really a marvelous puzzle and I recom=
mend it=20
to everybody.

 

Best regards

Ed

 

 

style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: =
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
----- Original Message -----

style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black">Fro=
m:
=20
href=3D"mailto:ringuette@solarmirror.com [4D_Cubing]">Marc Ringuette=20
ringuette@solarmirror.com [4D_Cubing]

To: ps.com=20
href=3D"mailto:4D_Cubing@yahoogroups.com">4D_Cubing@yahoogroups.com
<=
/DIV>
Sent: Friday, November 17, 2017 8:=
38=20
PM

Subject: Re: [MC4D] Melinda's phys=
ical=20
2^4 puzzle, full puzzle rotations


 =20

On 11/16/2017 2:22 PM, 'Eduard Baumann' iated=20
href=3D"mailto:ed.baumann@bluewin.ch">ed.baumann@bluewin.ch
[4D_Cubin=
g]=20
wrote:

> size=3D2 face=3DArial>BIG question. Is it possible to change the two "i=
nverted"=20
colors by simple moves?

Hi, Ed,

I think y=
ou're=20
asking about what Melinda calls a full-puzzle rotation.   Yes, =
this=20
is key to being able to solve the full 2^4 puzzle in the same way on both=
the=20
virtual and the physical versions.   You can use either of thes=
e two=20
move sequences to do it.

Melinda's new video of her classic=20
FOro:   href=3D"https://www.youtube.com/watch?v=3Dd2Fh_1m0UVY">https://www.youtub=
e.com/watch?v=3Dd2Fh_1m0UVY

Marc's=20
alternative FOro using the ROIL moveset:  eetext=20
href=3D"https://youtu.be/3gvrda5fMto">https://youtu.be/3gvrda5fMto
>
I=20
call the result of these sequences FOro, because they both correspond to =
the=20
single click MC4D move that is a Front-Out ROtation.

Here's an ol=
d=20
video of mine, cued up to 2:30 where I demonstrate Melinda's classic FOro=
=20
while I carefully keep the puzzle oriented on a desk.   At the end I=
show=20
the MC4D equivalent of the rotation I just did (at about 3:25 of the=20
video).
  href=3D"https://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s">https=
://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s



I=20
wonder who is going to be the first person to solve the physical 2^4=20
puzzle?   It's not me, yet.   I've been waiting for m=
ore=20
people to have the puzzle before I get back to trying to solve it.  =
I've=20
come up with a 3-cycle algorithm, though, so that's a good start.  I=
also=20
have a long solution to the "double twisted corner" problem, I think, but=
I=20
really want to come to a more thorough understanding of the 12 orientatio=
ns of=20
the 4-color pieces of a 4D hypercube. 

A good milestone will=
be=20
when somebody generates an MC4D scramble, sets up that position on their=
=20
physical puzzle, and then solves it on the physical puzzle while followin=
g=20
along with MC4D, resulting in both puzzles being=20
solved.


Cheers
Marc


p.s.  here's a collecti=
on of=20
my relevant videos of the physical 2^4 puzzle, so you don't have to dig f=
or=20
them.  I've omitted the ones that use the deprecated (parity violati=
ng)=20
quarter puzzle moves.  These are still marked "unlisted" in YouTube,=
at=20
Melinda's request, until her Public Release (TBD).   These vids=
are=20
not fantastic quality, but they're what I've got.

2 over the shoul=
der=20
intro v3  href=3D"https://youtu.be/_rXJr4SokC0">https://youtu.be/_rXJr4SokC0>3=20
special rotations FUro and FOro  href=3D"https://youtu.be/htTTn7qY35M">https://youtu.be/htTTn7qY35M>4=20
overlap of natural moves  href=3D"https://youtu.be/Dsu-5TTDNbM">https://youtu.be/Dsu-5TTDNbM>07a a=20
3 cycle on phys 2^4  href=3D"https://youtu.be/S8hm3CupPJAd">https://youtu.be/S8hm3CupPJAd<=
BR>07b=20
same 3 cycle on mc4d  href=3D"https://youtu.be/XCaaXxij6bc">https://youtu.be/XCaaXxij6bc>12=20
ROIL moveset intro  href=3D"https://youtu.be/oYeh5fK8LCI">https://youtu.be/oYeh5fK8LCI>13=20
ROIL version of FOro  href=3D"https://youtu.be/3gvrda5fMto">https://youtu.be/3gvrda5fMto R>14=20
ROIL scrambling   href=3D"https://youtu.be/ymnvMzypUp8">https://youtu.be/ymnvMzypUp8>15=20
ROIL strict subset vs macro equivalents  etext=20
href=3D"https://youtu.be/Iu7MKzD4yq0">https://youtu.be/Iu7MKzD4yq0
>16=20
ROIL meaning of junctions out positions  etext=20
href=3D"https://youtu.be/xN_vn-6RnV8">https://youtu.be/xN_vn-6RnV8
>



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From: "Eduard Baumann" <ed.baumann@bluewin.ch>
Date: Sat, 18 Nov 2017 11:25:14 +0100
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations



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For a physical 2^4 you need 16 cubicles.

Why only exactly 16 out of (8 over 4)=3D70 combinations do not contain oppo=
nent color pairs.

8 colors
blue=20
green=20
orange=20
purple=20
red=20
violet=20
white=20
yellow=20


opponent color pairs
W Y=20
B G=20
O R=20
P V=20


All (8 over 4) =3D 70 combinations with chancelled opponent colors
B G O P=20=20=20
B G O R=20=20=20
B G O V=20=20=20
B G O W=20=20=20
B G O Y=20=20=20
B G P R=20=20=20
B G P V=20=20=20
B G P W=20=20=20
B G P Y=20=20=20
B G R V=20=20=20
B G R W=20=20=20
B G R Y=20=20=20
B G V W=20=20=20
B G V Y=20=20=20
B G W Y=20=20=20
B O P R=20=20=20
B O P V=20=20=20
B O P W 1=20
B O P Y 2=20
B O R V=20=20=20
B O R W=20=20=20
B O R Y=20=20=20
B O V W 3=20
B O V Y 4=20
B O W Y=20=20=20
B P R V=20=20=20
B P R W 5=20
B P R Y 6=20
B P V W=20=20=20
B P V Y=20=20=20
B P W Y=20=20=20
B R V W 7=20
B R V Y 8=20
B R W Y=20=20=20
B V W Y=20=20=20
G O P R=20=20=20
G O P V=20=20=20
G O P W 9=20
G O P Y 10=20
G O R V=20=20=20
G O R W=20=20=20
G O R Y=20=20=20
G O V W 11=20
G O V Y 12=20
G O W Y=20=20=20
G P R V=20=20=20
G P R W 13=20
G P R Y 14=20
G P V W=20=20=20
G P V Y=20=20=20
G P W Y=20=20=20
G R V W 15=20
G R V Y 16=20
G R W Y=20=20=20
G V W Y=20=20=20
O P R V=20=20=20
O P R W=20=20=20
O P R Y=20=20=20
O P V W=20=20=20
O P V Y=20=20=20
O P W Y=20=20=20
O R V W=20=20=20
O R V Y=20=20=20
O R W Y=20=20=20
O V W Y=20=20=20
P R V W=20=20=20
P R V Y=20=20=20
P R W Y=20=20=20
P V W Y=20=20=20
R V W Y=20=20=20


Best regards
Ed


----- Original Message -----=20
From: Marc Ringuette ringuette@solarmirror.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Friday, November 17, 2017 8:38 PM
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations


=20=20=20=20
On 11/16/2017 2:22 PM, 'Eduard Baumann' ed.baumann@bluewin.ch [4D_Cubing]=
wrote:


BIG question. Is it possible to change the two "inverted" colors by sim=
ple moves?

Hi, Ed,

I think you're asking about what Melinda calls a full-puzzle rotation. =
Yes, this is key to being able to solve the full 2^4 puzzle in the same way=
on both the virtual and the physical versions. You can use either of the=
se two move sequences to do it.

Melinda's new video of her classic FOro: https://www.youtube.com/watch?=
v=3Dd2Fh_1m0UVY
Marc's alternative FOro using the ROIL moveset: https://youtu.be/3gvrda5=
fMto

I call the result of these sequences FOro, because they both correspond t=
o the single click MC4D move that is a Front-Out ROtation.=20

Here's an old video of mine, cued up to 2:30 where I demonstrate Melinda'=
s classic FOro while I carefully keep the puzzle oriented on a desk. At t=
he end I show the MC4D equivalent of the rotation I just did (at about 3:25=
of the video).
https://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s


I wonder who is going to be the first person to solve the physical 2^4 pu=
zzle? It's not me, yet. I've been waiting for more people to have the p=
uzzle before I get back to trying to solve it. I've come up with a 3-cycle=
algorithm, though, so that's a good start. I also have a long solution to=
the "double twisted corner" problem, I think, but I really want to come to=
a more thorough understanding of the 12 orientations of the 4-color pieces=
of a 4D hypercube.=20=20

A good milestone will be when somebody generates an MC4D scramble, sets u=
p that position on their physical puzzle, and then solves it on the physica=
l puzzle while following along with MC4D, resulting in both puzzles being s=
olved.


Cheers
Marc


p.s. here's a collection of my relevant videos of the physical 2^4 puzzl=
e, so you don't have to dig for them. I've omitted the ones that use the d=
eprecated (parity violating) quarter puzzle moves. These are still marked =
"unlisted" in YouTube, at Melinda's request, until her Public Release (TBD)=
. These vids are not fantastic quality, but they're what I've got.

2 over the shoulder intro v3 https://youtu.be/_rXJr4SokC0
3 special rotations FUro and FOro https://youtu.be/htTTn7qY35M
4 overlap of natural moves https://youtu.be/Dsu-5TTDNbM
07a a 3 cycle on phys 2^4 https://youtu.be/S8hm3CupPJAd
07b same 3 cycle on mc4d https://youtu.be/XCaaXxij6bc
12 ROIL moveset intro https://youtu.be/oYeh5fK8LCI
13 ROIL version of FOro https://youtu.be/3gvrda5fMto=20
14 ROIL scrambling https://youtu.be/ymnvMzypUp8
15 ROIL strict subset vs macro equivalents https://youtu.be/Iu7MKzD4yq0
16 ROIL meaning of junctions out positions https://youtu.be/xN_vn-6RnV8



=20=20
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For a physical 2^4 you need 16=20
cubicles.

 

Why only exactly 16 out of (8 over 4)=3D70=
=20
combinations do not contain opponent color pairs.

 

8 colors


ing=3D0=20
cellPadding=3D0 width=3D26 x:str>

=20
width=3D26>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RI=
GHT: #ece9d8"=20
class=3Dxl22 height=3D17 width=3D26>blueONT>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>green<=
/TR>

style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>orange=


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>purple=


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>redR>

style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>violet=


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>white<=
/TR>

style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl22 height=3D17>face=3DArial>yellow

 

opponent color pairs
e=3D2=20
face=3DArial>

ing=3D0=20
cellPadding=3D0 width=3D52 x:str>

span=3D2=20
width=3D26>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RI=
GHT: #ece9d8"=20
class=3Dxl24 height=3D17 width=3D26>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 width=3D26>Y


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>G


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V

 

All (8 over 4) =3D 70 combinations with chancelled opponent colorsV>

cing=3D0=20
cellPadding=3D0 width=3D156 x:str>

span=3D6=20
width=3D26>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RI=
GHT: #ece9d8"=20
class=3Dxl25 height=3D17 width=3D26>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25 width=3D26>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 width=3D26>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 width=3D26>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 width=3D26>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; WIDTH: 20pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 width=3D26>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>1


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>2


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>3


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>4


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>5


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>6


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>7


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>8


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>B
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>9


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>10


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>11


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>12


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>13


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>14


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>15


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24 x:num>16


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>G
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>O
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl25 height=3D17>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>P
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>


style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; HEIGHT: 12.75pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=
=20
class=3Dxl24 height=3D17>R
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>V
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>W
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl25>Y
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>
style=3D"BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR=
: transparent; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8"=20
class=3Dxl24>

 

Best regards

Ed

 

 

style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: =
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
----- Original Message -----

style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black">Fro=
m:
=20
href=3D"mailto:ringuette@solarmirror.com [4D_Cubing]">Marc Ringuette=20
ringuette@solarmirror.com [4D_Cubing]

To: ps.com=20
href=3D"mailto:4D_Cubing@yahoogroups.com">4D_Cubing@yahoogroups.com
<=
/DIV>
Sent: Friday, November 17, 2017 8:=
38=20
PM

Subject: Re: [MC4D] Melinda's phys=
ical=20
2^4 puzzle, full puzzle rotations


 =20

On 11/16/2017 2:22 PM, 'Eduard Baumann' iated=20
href=3D"mailto:ed.baumann@bluewin.ch">ed.baumann@bluewin.ch
[4D_Cubin=
g]=20
wrote:

> size=3D2 face=3DArial>BIG question. Is it possible to change the two "i=
nverted"=20
colors by simple moves?

Hi, Ed,

I think y=
ou're=20
asking about what Melinda calls a full-puzzle rotation.   Yes, =
this=20
is key to being able to solve the full 2^4 puzzle in the same way on both=
the=20
virtual and the physical versions.   You can use either of thes=
e two=20
move sequences to do it.

Melinda's new video of her classic=20
FOro:   href=3D"https://www.youtube.com/watch?v=3Dd2Fh_1m0UVY">https://www.youtub=
e.com/watch?v=3Dd2Fh_1m0UVY

Marc's=20
alternative FOro using the ROIL moveset:  eetext=20
href=3D"https://youtu.be/3gvrda5fMto">https://youtu.be/3gvrda5fMto
>
I=20
call the result of these sequences FOro, because they both correspond to =
the=20
single click MC4D move that is a Front-Out ROtation.

Here's an ol=
d=20
video of mine, cued up to 2:30 where I demonstrate Melinda's classic FOro=
=20
while I carefully keep the puzzle oriented on a desk.   At the end I=
show=20
the MC4D equivalent of the rotation I just did (at about 3:25 of the=20
video).
  href=3D"https://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s">https=
://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s



I=20
wonder who is going to be the first person to solve the physical 2^4=20
puzzle?   It's not me, yet.   I've been waiting for m=
ore=20
people to have the puzzle before I get back to trying to solve it.  =
I've=20
come up with a 3-cycle algorithm, though, so that's a good start.  I=
also=20
have a long solution to the "double twisted corner" problem, I think, but=
I=20
really want to come to a more thorough understanding of the 12 orientatio=
ns of=20
the 4-color pieces of a 4D hypercube. 

A good milestone will=
be=20
when somebody generates an MC4D scramble, sets up that position on their=
=20
physical puzzle, and then solves it on the physical puzzle while followin=
g=20
along with MC4D, resulting in both puzzles being=20
solved.


Cheers
Marc


p.s.  here's a collecti=
on of=20
my relevant videos of the physical 2^4 puzzle, so you don't have to dig f=
or=20
them.  I've omitted the ones that use the deprecated (parity violati=
ng)=20
quarter puzzle moves.  These are still marked "unlisted" in YouTube,=
at=20
Melinda's request, until her Public Release (TBD).   These vids=
are=20
not fantastic quality, but they're what I've got.

2 over the shoul=
der=20
intro v3  href=3D"https://youtu.be/_rXJr4SokC0">https://youtu.be/_rXJr4SokC0>3=20
special rotations FUro and FOro  href=3D"https://youtu.be/htTTn7qY35M">https://youtu.be/htTTn7qY35M>4=20
overlap of natural moves  href=3D"https://youtu.be/Dsu-5TTDNbM">https://youtu.be/Dsu-5TTDNbM>07a a=20
3 cycle on phys 2^4  href=3D"https://youtu.be/S8hm3CupPJAd">https://youtu.be/S8hm3CupPJAd<=
BR>07b=20
same 3 cycle on mc4d  href=3D"https://youtu.be/XCaaXxij6bc">https://youtu.be/XCaaXxij6bc>12=20
ROIL moveset intro  href=3D"https://youtu.be/oYeh5fK8LCI">https://youtu.be/oYeh5fK8LCI>13=20
ROIL version of FOro  href=3D"https://youtu.be/3gvrda5fMto">https://youtu.be/3gvrda5fMto R>14=20
ROIL scrambling   href=3D"https://youtu.be/ymnvMzypUp8">https://youtu.be/ymnvMzypUp8>15=20
ROIL strict subset vs macro equivalents  etext=20
href=3D"https://youtu.be/Iu7MKzD4yq0">https://youtu.be/Iu7MKzD4yq0
>16=20
ROIL meaning of junctions out positions  etext=20
href=3D"https://youtu.be/xN_vn-6RnV8">https://youtu.be/xN_vn-6RnV8
>



------=_NextPart_000_0066_01D3605F.E8BB6070--




From: "Eduard Baumann" <ed.baumann@bluewin.ch>
Date: Sat, 18 Nov 2017 15:49:51 +0100
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations



------=_NextPart_000_000A_01D36084.E010BFE0
Content-Type: text/plain;
charset="utf-8"
Content-Transfer-Encoding: quoted-printable

Versions of MC4D.

My version 4.0.180 ist different from what I see from Marc Ringuette.

I downloaded the newest one 4.3.216. It's still different.

I can't customize the colors.

What is the newest version and where can I have it?

Kind regards
Ed


----- Original Message -----=20
From: Marc Ringuette ringuette@solarmirror.com [4D_Cubing]=20
To: 4D_Cubing@yahoogroups.com=20
Sent: Friday, November 17, 2017 8:38 PM
Subject: Re: [MC4D] Melinda's physical 2^4 puzzle, full puzzle rotations


=20=20=20=20
On 11/16/2017 2:22 PM, 'Eduard Baumann' ed.baumann@bluewin.ch [4D_Cubing]=
wrote:


BIG question. Is it possible to change the two "inverted" colors by sim=
ple moves?

Hi, Ed,

I think you're asking about what Melinda calls a full-puzzle rotation. =
Yes, this is key to being able to solve the full 2^4 puzzle in the same way=
on both the virtual and the physical versions. You can use either of the=
se two move sequences to do it.

Melinda's new video of her classic FOro: https://www.youtube.com/watch?=
v=3Dd2Fh_1m0UVY
Marc's alternative FOro using the ROIL moveset: https://youtu.be/3gvrda5=
fMto

I call the result of these sequences FOro, because they both correspond t=
o the single click MC4D move that is a Front-Out ROtation.=20

Here's an old video of mine, cued up to 2:30 where I demonstrate Melinda'=
s classic FOro while I carefully keep the puzzle oriented on a desk. At t=
he end I show the MC4D equivalent of the rotation I just did (at about 3:25=
of the video).
https://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s


I wonder who is going to be the first person to solve the physical 2^4 pu=
zzle? It's not me, yet. I've been waiting for more people to have the p=
uzzle before I get back to trying to solve it. I've come up with a 3-cycle=
algorithm, though, so that's a good start. I also have a long solution to=
the "double twisted corner" problem, I think, but I really want to come to=
a more thorough understanding of the 12 orientations of the 4-color pieces=
of a 4D hypercube.=20=20

A good milestone will be when somebody generates an MC4D scramble, sets u=
p that position on their physical puzzle, and then solves it on the physica=
l puzzle while following along with MC4D, resulting in both puzzles being s=
olved.


Cheers
Marc


p.s. here's a collection of my relevant videos of the physical 2^4 puzzl=
e, so you don't have to dig for them. I've omitted the ones that use the d=
eprecated (parity violating) quarter puzzle moves. These are still marked =
"unlisted" in YouTube, at Melinda's request, until her Public Release (TBD)=
. These vids are not fantastic quality, but they're what I've got.

2 over the shoulder intro v3 https://youtu.be/_rXJr4SokC0
3 special rotations FUro and FOro https://youtu.be/htTTn7qY35M
4 overlap of natural moves https://youtu.be/Dsu-5TTDNbM
07a a 3 cycle on phys 2^4 https://youtu.be/S8hm3CupPJAd
07b same 3 cycle on mc4d https://youtu.be/XCaaXxij6bc
12 ROIL moveset intro https://youtu.be/oYeh5fK8LCI
13 ROIL version of FOro https://youtu.be/3gvrda5fMto=20
14 ROIL scrambling https://youtu.be/ymnvMzypUp8
15 ROIL strict subset vs macro equivalents https://youtu.be/Iu7MKzD4yq0
16 ROIL meaning of junctions out positions https://youtu.be/xN_vn-6RnV8



=20=20
------=_NextPart_000_000A_01D36084.E010BFE0
Content-Type: text/html;
charset="utf-8"
Content-Transfer-Encoding: quoted-printable

=EF=BB=BF




Versions of MC4D.

 

My version 4.0.180 ist different from=
what I=20
see from Marc Ringuette.

 

I downloaded the newest one 4.3.216. =
It's=20
still different.

 

I can't customize the colors.

 

What is the newest version and where can I=
have=20
it?

 

Kind regards

Ed

 

 

style=3D"BORDER-LEFT: #000000 2px solid; PADDING-LEFT: 5px; PADDING-RIGHT: =
0px; MARGIN-LEFT: 5px; MARGIN-RIGHT: 0px">
----- Original Message -----

style=3D"FONT: 10pt arial; BACKGROUND: #e4e4e4; font-color: black">Fro=
m:
=20
href=3D"mailto:ringuette@solarmirror.com [4D_Cubing]">Marc Ringuette=20
ringuette@solarmirror.com [4D_Cubing]

To: ps.com=20
href=3D"mailto:4D_Cubing@yahoogroups.com">4D_Cubing@yahoogroups.com
<=
/DIV>
Sent: Friday, November 17, 2017 8:=
38=20
PM

Subject: Re: [MC4D] Melinda's phys=
ical=20
2^4 puzzle, full puzzle rotations


 =20

On 11/16/2017 2:22 PM, 'Eduard Baumann' iated=20
href=3D"mailto:ed.baumann@bluewin.ch">ed.baumann@bluewin.ch
[4D_Cubin=
g]=20
wrote:

> size=3D2 face=3DArial>BIG question. Is it possible to change the two "i=
nverted"=20
colors by simple moves?

Hi, Ed,

I think y=
ou're=20
asking about what Melinda calls a full-puzzle rotation.   Yes, =
this=20
is key to being able to solve the full 2^4 puzzle in the same way on both=
the=20
virtual and the physical versions.   You can use either of thes=
e two=20
move sequences to do it.

Melinda's new video of her classic=20
FOro:   href=3D"https://www.youtube.com/watch?v=3Dd2Fh_1m0UVY">https://www.youtub=
e.com/watch?v=3Dd2Fh_1m0UVY

Marc's=20
alternative FOro using the ROIL moveset:  eetext=20
href=3D"https://youtu.be/3gvrda5fMto">https://youtu.be/3gvrda5fMto
>
I=20
call the result of these sequences FOro, because they both correspond to =
the=20
single click MC4D move that is a Front-Out ROtation.

Here's an ol=
d=20
video of mine, cued up to 2:30 where I demonstrate Melinda's classic FOro=
=20
while I carefully keep the puzzle oriented on a desk.   At the end I=
show=20
the MC4D equivalent of the rotation I just did (at about 3:25 of the=20
video).
  href=3D"https://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s">https=
://www.youtube.com/watch?v=3DhtTTn7qY35M&t=3D150s



I=20
wonder who is going to be the first person to solve the physical 2^4=20
puzzle?   It's not me, yet.   I've been waiting for m=
ore=20
people to have the puzzle before I get back to trying to solve it.  =
I've=20
come up with a 3-cycle algorithm, though, so that's a good start.  I=
also=20
have a long solution to the "double twisted corner" problem, I think, but=
I=20
really want to come to a more thorough understanding of the 12 orientatio=
ns of=20
the 4-color pieces of a 4D hypercube. 

A good milestone will=
be=20
when somebody generates an MC4D scramble, sets up that position on their=
=20
physical puzzle, and then solves it on the physical puzzle while followin=
g=20
along with MC4D, resulting in both puzzles being=20
solved.


Cheers
Marc


p.s.  here's a collecti=
on of=20
my relevant videos of the physical 2^4 puzzle, so you don't have to dig f=
or=20
them.  I've omitted the ones that use the deprecated (parity violati=
ng)=20
quarter puzzle moves.  These are still marked "unlisted" in YouTube,=
at=20
Melinda's request, until her Public Release (TBD).   These vids=
are=20
not fantastic quality, but they're what I've got.

2 over the shoul=
der=20
intro v3  href=3D"https://youtu.be/_rXJr4SokC0">https://youtu.be/_rXJr4SokC0>3=20
special rotations FUro and FOro  href=3D"https://youtu.be/htTTn7qY35M">https://youtu.be/htTTn7qY35M>4=20
overlap of natural moves  href=3D"https://youtu.be/Dsu-5TTDNbM">https://youtu.be/Dsu-5TTDNbM>07a a=20
3 cycle on phys 2^4  href=3D"https://youtu.be/S8hm3CupPJAd">https://youtu.be/S8hm3CupPJAd<=
BR>07b=20
same 3 cycle on mc4d  href=3D"https://youtu.be/XCaaXxij6bc">https://youtu.be/XCaaXxij6bc>12=20
ROIL moveset intro  href=3D"https://youtu.be/oYeh5fK8LCI">https://youtu.be/oYeh5fK8LCI>13=20
ROIL version of FOro  href=3D"https://youtu.be/3gvrda5fMto">https://youtu.be/3gvrda5fMto R>14=20
ROIL scrambling   href=3D"https://youtu.be/ymnvMzypUp8">https://youtu.be/ymnvMzypUp8>15=20
ROIL strict subset vs macro equivalents  etext=20
href=3D"https://youtu.be/Iu7MKzD4yq0">https://youtu.be/Iu7MKzD4yq0
>16=20
ROIL meaning of junctions out positions  etext=20
href=3D"https://youtu.be/xN_vn-6RnV8">https://youtu.be/xN_vn-6RnV8
>



------=_NextPart_000_000A_01D36084.E010BFE0--





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