ʶ˥ˈ˥ʰˣˊ˚˥ʺɢɣʈɪɱʚʠˍ˞ʮ˥ʴ˜ˣʉȇ JXʅȇÎƔX!

2012´5ĂĝŅŭƠíĩŋXşūÖʶ˥ˈ˥ʰˣˊ˚˥ʺǩŖöĆǟɞǩŖʭ˟˥ˍʠˍ˞ʮ˥ʴ˜ˣǩŖʼ˥˕ɞʼ˥˕˞˥ʻ˥
^ɞō
minami_kaz@riken.jp


SACSIS 2012

ʠʵʤˣʻ

Ȗȓ ĝ

ʶ˥ˈ˥ʰˣˊ˚˥ʺˍˡʵʤʬˀʈʁɧʃȗȓ ǘʰˣˊ˚˥ʺɢɣʉĖƦʈʁɧʃȘȓ ɢɣʉËŎHǤșȓ ŉʉʶˈʰˣMŎʉǷɶɵȚȓ ŋşʄǛʔʃɧʚʠˍ˞ȇÎƔXțȓ ȇ

JXʉɽʔʉǣƦĻȜȓ ȇɧ_(ÎƔʝÆʚɽʔʉǣƦĻȝȓ ŋşǣĻʠˍ˞ʉłÉȞȓ ȲȳȤȦȴʉȇÎƔXȖȕȓ ȰȨȡȳȥʉȇÎƔXȖȖȓ ȳɀɄɌɇȘȤȑȦȦȢʉȇÎƔXȖȗȓ ʑʅʔSACSIS 2012ȖʠʵʤˣʻȖȓ ĝʶ˥ˈ˥ʰˣˊ˚˥ʺˍˡʵʤʬˀʈʁɧʃȗȓ ǘʰˣˊ˚˥ʺɢɣʉĖƦʈʁɧʃȘȓ ɢɣʉËŎHǤșȓ ŉʉʶˈʰˣMŎʉǷɶɵȚȓ ŋşʄǛʔʃɧʚʠˍ˞ȇÎƔXțȓ ȇ

JXʉɽʔʉǣƦĻȜȓ ȇɧ_(ÎƔʝÆʚɽʔʉǣƦĻȝȓ ŋşǣĻʠˍ˞ʉłÉȞȓ ȲȳȤȦȴʉȇÎƔXȖȕȓ ȰȨȡȳȥʉȇÎƔXȖȖȓ ȳɀɄɌɇȘȤȑȦȦȢʉȇÎƔXȖȗȓ ʑʅʔȗ

SACSIS 2012ʶˈʰˣ

ŐʝʔɰʚŮʶˈʰˣȖŦɦɽʙʉ
ĸŵ|ïŐʉäŧ

Ȗ|Ȗȕȕȕ>|Ȗȕȕ>|
Ȗȕ>|
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2014.62013.62011.62012.6

2010.62009.6

2008.6

2007.6

2006.6

2005.6

2004.6

2003.6

2002.6

2001.6

2000.6

1999.6

1998.6

1997.6

1996.6

1995.6

1994.6

1993.6

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SACSIS 2012Șɿʇʒʈ
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SACSIS 2012șɳʛʑʄʉøĆʉʶˈʰˣˍˡʵʤʬˀ
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SACSIS 2012ɢɣʉāǒʉÔČȍɘȎȴȯȰȚȕȕ˞ʶˀʅʊ˺
ȬȩȮȰȡȣȫˏˣʼ˓˥ʬʉƠÎƔʝÞęʅɶɽɟŐʉʶˈʰˣ&Țȕȕ&ʑʄʉ˝ˣʪˣʭɠ´ʈȗ|ɟțĂʅȖȖĂʈþôɵʛʚȍɘȎȬȩȮȰȡȣȫ˨˞ˣˈʽʬ˩ʅʊ˺
ƨĚǚŭĝõŨºʝƬɯˏˣʼ˓˥ʬˍˡʭ˝˕ʄɟ Őʉʶˈʰˣ˝ˣʪˣʭʄɦʚȴȯȰȚȕȕ
ʄʶˈʰˣʉÎƔÞęʅɶʃMŎɵʛʃɧʚ

! ȗȕȖȖȔȖȖȔȖȚŖƢʉůȘȝ|ȴȯȰȚȕȕ˞ʶˀʄEʍů&ʝŇÆˬȫȈȾɉɇɊɎɍɀɋ˨ȯȾɍȈȗȕȖȖ˩ȫȈȾɉɇɊɎɍɀɋ˨ȪɎɈȈȗȕȖȖ˩ȲɇȼɑȖȕȓȚȖȰȦȬȯȰȳȝȓȖțȗȰȦȬȯȰȳȲɊɀȼɅ

ȖȖȓȗȝȰȦȬȯȰȳȝȓȜȜșȰȦȬȯȰȳȞȘȓȗȋ

ȞȘȓȕȋ

ȖȖȑȝȜȕȑȗȕȝȖȕȑȜȗȚȑȖȗȕȗȞɃȗȝɇ

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ɀɁɁɄȾɄɀɈȾɒ
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1
2
3
4
5

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Japan
China
US
China
Japan

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Tianhe-1A
Jaguar
Nebulae
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2.40 

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SACSIS 2012ȜʶˈʰˣʉÎƔʅʊ˺Ǘ4ÎƔ˄ʽˀˢ˥ʬ

ĸŵÎƔ

ȣȰȵ

ȣȰȵ

ȣȰȵ

ȣȰȵ

ȣȰȵ

ȣȰȵ

˖˗˞

˖˗˞

˖˗˞

˖˗˞

˖˗˞

˖˗˞

ȣȰȵ
ˤˤˤ
˖˗˞

˖˗˞ʠʬʸʶÎƔĸŵÎƔʝɲʚʉʊɟģǏŘ ú˖˗˞ʠʬʸʶÎƔʅǗ4ÎƔʝɲʚʉʊ~ǷȴȯȰȚȕȕʉÞęʅʇʚȬȩȮȰȡȣȫˏˣʼ˓˥ʬʊ
ĸŵÎƔʉʒʄĨʑʚ˨˖˗˞ʠʬʸʶÎƔɟǗ4ÎƔʊʐʅʞʆƑÓɵʛʇɧ˩ȝ

SACSIS 2012ɢɣʉāǒʉÔČȨȰȣʼ˘ˠˣʵʠʣʦ˥ˁ˸ťÙơƮŵʄŎɵʛʚƮŵˈʺ˥ˣɫʘÚGɶɽȗȝǽŚʉFŋÎƔʈʗʀʃɟʶˈʰˣʉƌnŘʇÎƔʝƳ0ɸʚȨȰȣʼ˘ˠˣʵˏˣʼ˓˥ʬˍˡʭ˝˕ɫʘɟłʈǣƦʇ˲ʁʉˏˣʼ˓˥ʬʝȨȰȣʼ˘ˠˣʵʠʣʦ˥ˁʅɶʃɟĢ´ȖȖĂʉȳȣʈʃƢÀȖȓȧɆɉȽȼɆȈȨȰȬ˨ƨĚʇǚŭȖĝõŨºʉĦƬʈɪɱʚĸŵǘ·˩ȗȓȧɆɉȽȼɆȈȲȼɈȿɉɇȡȾȾɀɌɌ˨

JˍˡʸʶǪʄʉ˝ˣʻ˕˖˗˞ʠʬʸʶÎƔ˩ȘȓȥȰȈȳȴȲȥȡȭȍȴɋɄȼȿȎȈɊɀɋȈɌɒɌɍɀɇ˨ǣǀƝüʉ˖˗˞ʠʬʸʶǘ·˩șȓȧɆɉȽȼɆȈȦȦȴ˨ȇǘˋ˥˞ʥæʉƌnÎƔ˩

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Global HPL
1st place

1st runner up
2nd runner up
Global RandomAccess
1st place
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1st runner up
2nd runner up
Global FFT
1st place
1st runner up
2nd runner up

System

Performance (TFLOP/s)
2,118
1,533
736
Performance (GUPS)

K computer
Cray XT5
Cray XT5
System

121
117
103
Performance (TB/s)

K computer
IBM BG/PIBM BG/P
System

812
398
267
Performance (TFLOP/
s)
34.7
11.9
10.7

K computer
Cray XT5
IBM BG/P
System

SACSIS 2012

ȞK computer
NEC SX-9
Cray XT5

Institutional
Facility
RIKENORNL
UTK
Institutional
Facility
RIKENLLNL
ANL
Institutional
Facility
RIKEN
ORNL
LLNL
Institutional
Facility
RIKEN
JAMSTEC
ORNLȨȰȣȣ
ȨȰȣȈɐɄɋɀSACSIS 2012

Ȗȕ

ʠʵʤˣʻ

Ȗȓ ĝ

ʶ˥ˈ˥ʰˣˊ˚˥ʺˍˡʵʤʬˀʈʁɧʃȗȓ ǘʰˣˊ˚˥ʺɢɣʉĖƦʈʁɧʃȘȓ ɢɣʉËŎHǤșȓ ŉʉʶˈʰˣMŎʉǷɶɵȚȓ ŋşʄǛʔʃɧʚʠˍ˞ȇÎƔXțȓ ȇ

JXʉɽʔʉǣƦĻȜȓ ȇɧ_(ÎƔʝÆʚɽʔʉǣƦĻȝȓ ŋşǣĻʠˍ˞ʉłÉȞȓ ȲȳȤȦȴʉȇÎƔXȖȕȓ ȰȨȡȳȥʉȇÎƔXȖȖȓ ȳɀɄɌɇȘȤȑȦȦȢʉȇÎƔXȖȗȓ ʑʅʔSACSIS 2012ȖȖ̍ɣʉĖƦ
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Vendor

Name

Core

Peak
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Processrule (nm)

Cache
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(W)

GF/W

System(w/planned)

IBM

PowerPC A2

16

45204.80

32

55

3.72

Intel

E3-1260L

4

32

105.60

8

45

2.35

Fujitsu

SPARC64VIIIfx

845

128.00

6

58

2.21

IBM

Power7845

256.00

32

200

1.28

AMD

Opteron@6172

12

45100.80

12

80

1.26

XE6,etc.

Intel

Xeon X5670

6

32

79.92

12

95

0.84

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Sequoia (BlueGene/Q)

K computer

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SACSIS 2012ȖșƮŵ˅˥ˁʅʢˣʺ˥ʰ˄ʬˀʉėÔ" ʢˣʺ˥ʰ˄ʬˀʉėÔ" Ʈŵ˅˥ˁʉėÔ" ȣȰȵ˨ȝʰʠ˩ " ȩȣȣ˨ʢˣʺ˥ʰ˄ʬˀŎȬȳȩȎ
" ˖˗˞



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˸˯˴ȧȢ" ˛˥ʳ˥ˉ˚˥ʊȘĝ=ˀ˥˝ʶ" ¯˸ȈȘĝ=ʉğǀmõqʈɻʛɼʛ

ȚȧȢȔɌȈɑȈȗ˨eõq˩ɤŋƺˊ˥ʬɥ
" ʮ˥ˌ˟˸ȈƀȗȕȕȑȕȕȕĆ˪ƀȖȕȕȕɅɇ˨ŋƺˊ˥ʬ˩

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5GB/s x eõq(ŋƺˊ˥ʬ˩

ȣȰȵȟȈȖȗȝȧȦȬȯȰȳȍȝȾɉɋɀɌȎȣɉɋɀȣɉɋɀ ȣɉɋɀȳȩȭȤȍșȦȭȡȎȣɉɋɀ ȣɉɋɀȳȩȭȤȍșȦȭȡȎȳȩȭȤȍșȦȭȡȎȣɉɋɀ ȣɉɋɀȖțȧȦɆɉɊɌ
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ȖțȧȦɆɉɊɌ
ȳȩȭȤȍșȦȭȡȎȖțȧȦɆɉɊɌ
ȖțȧȦɆɉɊɌ
ȖțȧȦȬȯȰȳ

5GB/s x eõq˨ŋƺˊ˥ʬ˩

ȬȗȊȟȈțȭȢ
64GB/s̋ȭȥȭȟȈȖțȧȢ˨ŋƺˊ˥ʬ˩

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5GB/s x eõq

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SACSIS 20123ĝ=ˀ˥˝ʶʉʢ˖˥ʵ

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ICC×1
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12.3>|/Ŧ
1.5TB
5120<|/Ŧ
64GBĸŵÎƔ˸1280<|/Ŧ˖˗˞ǥ˸16GB
SACSIS 2012Ȗțʴʶʾ˕ʉłǦ!

Őˀʽˍʬ˝ʶʉĸŵÎƔʅħŎÎ˨,ɧʖɸɵ˩ʉ

ŭ

˨ɘ˩

! ȬȩȮȰȡȣȫ ȈȖȕːʺˋˡʽˍʶ˨ȖŦǪʈȖ|˩! ːʺˋˡʽˍʶƁʉʠˍ˞ʮ˥ʴ˜ˣVÎƔ! µŸʉʠˍ˞ʮ˥ʴ˜ˣʈ£ËiƔ! ȇ¯ʉ˖˗˞ʠʬʸʶʅʢˣʺ˥ʰ˄ʬˀ! ȇÎƔʅ'ıǂǹSʉ

ŭ

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SACSIS 2012ȴȯȰȚȕȕɞȳȣȖȖȍȗȕȖȖ´ȖȖĂȎʱ˥ˁˣˏ˟ǃ

SACSIS 2012țȚ64ʠʵʤˣʻȖȓ ĝʶ˥ˈ˥ʰˣˊ˚˥ʺˍˡʵʤʬˀʈʁɧʃȗȓ ǘʰˣˊ˚˥ʺɢɣʉĖƦʈʁɧʃȘȓ ɢɣʉËŎHǤșȓ ŉʉʶˈʰˣMŎʉǷɶɵȚȓ ŋşʄǛʔʃɧʚʠˍ˞ȇÎƔXțȓ ȇ

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SACSIS 2012

PHASEê˒ʾˣʴ˘˟ʅ¡·ħǫïĩʈʗʚ˂˅ćòůaŋHWSˍˡʭ˝˕ʄɦʚˬ
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SACSIS 2012

"BLAS Level3ǞŎ" ȲȳȤȦȴʅoĘʈȧɋȼɇȒȳȾɃɇɄȿɍʉśXʝƠJˤƠJŪʈÿæɩ" ȧɋȼɇȒȳȾɃɇɄȿɍʉśXʝrʓʨ˥˄˟ȍYǪȚȎʈȢȬȡȳȈȬɀɏɀɆȘʝǞŎ" ȦȸȖȑɢɣȖț

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300

250

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other
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MV


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m_ES_F_transpose_r
m_ES_W_transpose_r
WSW_t
normalize_bp_and_psi_t
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modify_bp_and_psi_t_r
W1SW2_t_r_block
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m_ES_W_transpose_back_r
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100

50

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[%]

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15.7
15.2
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50.8
162.0
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SACSIS 2012
Algorithm

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SACSIS 2012

ȜȖ

64
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128

JÎƔɬqɶʃɧ

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ÎƔɬ'ɧɬ˪ȇ Jʈʇʚʈʁʛ JÎƔɬqɸʚˬȜȗ

SACSIS 2012"£ƫXƮŵʉ" ȇǘ

JX

J£ƫX˟˥ʼˣʉ¤@ǥSƮŵʊaʉƮŵɬ~Ƿʄɦʀɽɽʔ˪£ƫXʈÊƦʇ=ïʊˇˣˁïŨ·ȍȖȑȕȕȕŨ·Ȏʄɦʙ˪ÅĊʊ JXɬƦʇŴÖʄɦʀɽˬɶɫɶǇ Jʄ
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SACSIS 2012

0

ScaLAPACK
FFT
BLAS

30

10

16x32
ȜȘ

16x64
16x96 16x128 16x160
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SACSIS 2012

ȜȜ

SACSIS 2012ˏ˥ʶʅʇʚÎƔ8˖˗˞ ˇˣˁ²˨˼˿ģ˩ˠʢʾˣʴ˨Ŝ£8˩ɞ˼˿ģ˹ˮˬ˳(V8:0.36)



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ȊȬȖ˸ˡ˥ˁȖdo J = 1, NY
do I = 1, NX
do K = 3, NZ-1
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end doend doend do˖˗˞˸ˡ˥ˁ˯˪ʶˀʠ˯

ȊȬȖ˸ˡ˥ˁȗȝȕ

SACSIS 2012

klpLXmb]nVY`_ reg

do J = 1, NY
do I = 1, NX
do K = 3, NZ-1
DZV (k,I,J) = (V(k,I,J) -V(k-1,I,J))*R40 &- (V(k+1,I,J)-V(k-2,I,J))*R41
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do I = 1, NX
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DZV (k,I,J) = (V(k,I,J) -V(k-1,I,J))*R40 &- (V(k+1,I,J)-V(k-2,I,J))*R41
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end do4x3 = 12byte()   

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do J = 1, NY" 1_cp;jKGO±O3¤¸P$L1N¹I
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do I = 1, NX
do K = 3, NZ-1

DZV (k,I,J) = (V(k,I,J) -V(k-1,I,J))*R40 &- (V(k+1,I,J)-V(k-2,I,J))*R41
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end do4x3 = 12byte()   

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do J = 1, NY" 1_cp;jKGO±O3¤¸P$L1or$L2N¹IJ?SKAT

do I = 1, NX
do K = 1, NZ
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do I = 1, NX
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2store,3loadRS8(2+3)*4 = 20
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do J = 1, NY
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SACSIS 2012¢z¼v#xO%&U'6',+'K_rbd¯¸!$OMP DO SCHEDULE(static,1),PRIVATE(I,J,K)
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end do()   

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4x3 = 12byte()flop:%((-4,3 ȝȞ(cyclicHQʶˠʽˁ

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ˍˡʭ˝˕- do i=1,imax
do k=1,kmax
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end doend doend do˸ʶˠʽˁn−1ʄcĽɸʚʿ˥ʺ
˸ʶˠʽˁnʄcĽɸʚʿ˥ʺʪ˘ʽʴ˚˝ʢˣ(CL)
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1 ˤˤˤȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈˤˤˤˤȈkmax

1 ˤˤˤȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈˤˤˤˤȈkmaˤˤˤˤˤˤˤˤˤ

j+1 1 ˤˤˤȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈˤˤˤˤȈkmax

1 ˤˤˤȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈȈˤˤˤˤȈkmax

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do J = 1, NY
do I = 1, NX
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DYV (k,I,J) = (V(k,I,J) -V(k,I,J-1))*R40 &- (V(k,I,J+1)-V(k,I,J-2))*R41
end doend doend doƦĦB/F8ʝɲʚʪ˘ʽʴ˚ʈǐɺʚ" K,I,J½¨vOq;gUuFTDLNRS8V(K,I,J)Os;dU
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