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mp_rc32.pas
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unit mp_rc32;
{Bit tables for Pi, ln(2), ln(10), exp(1)}
interface
{$i STD.INC}
(*************************************************************************
DESCRIPTION : bit tables for Pi, ln(2), ln(10), exp(1)
REQUIREMENTS : BP7, D1-D7/D9-D10/D12/D17-D18, FPC, VP
REMARK : ln(10), exp(1) only if MPC_E1Ln10Tab is defined
last bits of short tables are NOT rounded, may be off by 1
Version Date Author Modification
------- -------- ------- ------------------------------------------
0.00.10 25.01.08 W.Ehrhardt Initial version: BP7
1.16.00 12.06.10 we Table for e = exp(1)
1.16.01 13.06.10 we Check table sizes, MAX_TCBITS moved to mp_types
1.16.02 13.06.10 we Uses MPC_FPrec30K for smaller tables
1.20.00 15.01.12 we Arrays moved from code to data for 32/64 bit
1.20.01 14.02.12 we ln(2) always available; new name MPC_E1Ln10Tab
**************************************************************************)
(*-------------------------------------------------------------------------
(C) Copyright 2008-2012 Wolfgang Ehrhardt
This software is provided 'as-is', without any express or implied warranty.
In no event will the authors be held liable for any damages arising from
the use of this software.
Permission is granted to anyone to use this software for any purpose,
including commercial applications, and to alter it and redistribute it
freely, subject to the following restrictions:
1. The origin of this software must not be misrepresented; you must not
claim that you wrote the original software. If you use this software in
a product, an acknowledgment in the product documentation would be
appreciated but is not required.
2. Altered source versions must be plainly marked as such, and must not be
misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
----------------------------------------------------------------------------*)
{$i mp_conf.inc}
function AddrPiBytes: pointer;
{-Pointer to bits of Pi, big endian format}
function AddrLn2Bytes: pointer;
{-Pointer to bits of ln(2), big endian format}
{$ifdef MPC_E1Ln10Tab}
function AddrEBytes: pointer;
{-Pointer to bits of exp(1), big endian format}
function AddrLn10Bytes: pointer;
{-Pointer to bits of ln(10), big endian format}
{$endif}
implementation
uses
mp_types;
const
PiBytes: packed array[1..MAX_TCBITS div 8] of byte = (
$c9,$0f,$da,$a2,$21,$68,$c2,$34,$c4,$c6,$62,$8b,$80,$dc,$1c,$d1,$29,$02,$4e,$08,$8a,$67,$cc,$74,$02,
$0b,$be,$a6,$3b,$13,$9b,$22,$51,$4a,$08,$79,$8e,$34,$04,$dd,$ef,$95,$19,$b3,$cd,$3a,$43,$1b,$30,$2b,
$0a,$6d,$f2,$5f,$14,$37,$4f,$e1,$35,$6d,$6d,$51,$c2,$45,$e4,$85,$b5,$76,$62,$5e,$7e,$c6,$f4,$4c,$42,
$e9,$a6,$37,$ed,$6b,$0b,$ff,$5c,$b6,$f4,$06,$b7,$ed,$ee,$38,$6b,$fb,$5a,$89,$9f,$a5,$ae,$9f,$24,$11,
$7c,$4b,$1f,$e6,$49,$28,$66,$51,$ec,$e4,$5b,$3d,$c2,$00,$7c,$b8,$a1,$63,$bf,$05,$98,$da,$48,$36,$1c,
$55,$d3,$9a,$69,$16,$3f,$a8,$fd,$24,$cf,$5f,$83,$65,$5d,$23,$dc,$a3,$ad,$96,$1c,$62,$f3,$56,$20,$85,
$52,$bb,$9e,$d5,$29,$07,$70,$96,$96,$6d,$67,$0c,$35,$4e,$4a,$bc,$98,$04,$f1,$74,$6c,$08,$ca,$18,$21,
$7c,$32,$90,$5e,$46,$2e,$36,$ce,$3b,$e3,$9e,$77,$2c,$18,$0e,$86,$03,$9b,$27,$83,$a2,$ec,$07,$a2,$8f,
$b5,$c5,$5d,$f0,$6f,$4c,$52,$c9,$de,$2b,$cb,$f6,$95,$58,$17,$18,$39,$95,$49,$7c,$ea,$95,$6a,$e5,$15,
$d2,$26,$18,$98,$fa,$05,$10,$15,$72,$8e,$5a,$8a,$aa,$c4,$2d,$ad,$33,$17,$0d,$04,$50,$7a,$33,$a8,$55,
$21,$ab,$df,$1c,$ba,$64,$ec,$fb,$85,$04,$58,$db,$ef,$0a,$8a,$ea,$71,$57,$5d,$06,$0c,$7d,$b3,$97,$0f,
$85,$a6,$e1,$e4,$c7,$ab,$f5,$ae,$8c,$db,$09,$33,$d7,$1e,$8c,$94,$e0,$4a,$25,$61,$9d,$ce,$e3,$d2,$26,
$1a,$d2,$ee,$6b,$f1,$2f,$fa,$06,$d9,$8a,$08,$64,$d8,$76,$02,$73,$3e,$c8,$6a,$64,$52,$1f,$2b,$18,$17,
$7b,$20,$0c,$bb,$e1,$17,$57,$7a,$61,$5d,$6c,$77,$09,$88,$c0,$ba,$d9,$46,$e2,$08,$e2,$4f,$a0,$74,$e5,
$ab,$31,$43,$db,$5b,$fc,$e0,$fd,$10,$8e,$4b,$82,$d1,$20,$a9,$21,$08,$01,$1a,$72,$3c,$12,$a7,$87,$e6,
$d7,$88,$71,$9a,$10,$bd,$ba,$5b,$26,$99,$c3,$27,$18,$6a,$f4,$e2,$3c,$1a,$94,$68,$34,$b6,$15,$0b,$da,
$25,$83,$e9,$ca,$2a,$d4,$4c,$e8,$db,$bb,$c2,$db,$04,$de,$8e,$f9,$2e,$8e,$fc,$14,$1f,$be,$ca,$a6,$28,
$7c,$59,$47,$4e,$6b,$c0,$5d,$99,$b2,$96,$4f,$a0,$90,$c3,$a2,$23,$3b,$a1,$86,$51,$5b,$e7,$ed,$1f,$61,
$29,$70,$ce,$e2,$d7,$af,$b8,$1b,$dd,$76,$21,$70,$48,$1c,$d0,$06,$91,$27,$d5,$b0,$5a,$a9,$93,$b4,$ea,
$98,$8d,$8f,$dd,$c1,$86,$ff,$b7,$dc,$90,$a6,$c0,$8f,$4d,$f4,$35,$c9,$34,$02,$84,$92,$36,$c3,$fa,$b4,
$d2,$7c,$70,$26,$c1,$d4,$dc,$b2,$60,$26,$46,$de,$c9,$75,$1e,$76,$3d,$ba,$37,$bd,$f8,$ff,$94,$06,$ad,
$9e,$53,$0e,$e5,$db,$38,$2f,$41,$30,$01,$ae,$b0,$6a,$53,$ed,$90,$27,$d8,$31,$17,$97,$27,$b0,$86,$5a,
$89,$18,$da,$3e,$db,$eb,$cf,$9b,$14,$ed,$44,$ce,$6c,$ba,$ce,$d4,$bb,$1b,$db,$7f,$14,$47,$e6,$cc,$25,
$4b,$33,$20,$51,$51,$2b,$d7,$af,$42,$6f,$b8,$f4,$01,$37,$8c,$d2,$bf,$59,$83,$ca,$01,$c6,$4b,$92,$ec,
$f0,$32,$ea,$15,$d1,$72,$1d,$03,$f4,$82,$d7,$ce,$6e,$74,$fe,$f6,$d5,$5e,$70,$2f,$46,$98,$0c,$82,$b5,
$a8,$40,$31,$90,$0b,$1c,$9e,$59,$e7,$c9,$7f,$be,$c7,$e8,$f3,$23,$a9,$7a,$7e,$36,$cc,$88,$be,$0f,$1d,
$45,$b7,$ff,$58,$5a,$c5,$4b,$d4,$07,$b2,$2b,$41,$54,$aa,$cc,$8f,$6d,$7e,$bf,$48,$e1,$d8,$14,$cc,$5e,
$d2,$0f,$80,$37,$e0,$a7,$97,$15,$ee,$f2,$9b,$e3,$28,$06,$a1,$d5,$8b,$b7,$c5,$da,$76,$f5,$50,$aa,$3d,
$8a,$1f,$bf,$f0,$eb,$19,$cc,$b1,$a3,$13,$d5,$5c,$da,$56,$c9,$ec,$2e,$f2,$96,$32,$38,$7f,$e8,$d7,$6e,
$3c,$04,$68,$04,$3e,$8f,$66,$3f,$48,$60,$ee,$12,$bf,$2d,$5b,$0b,$74,$74,$d6,$e6,$94,$f9,$1e,$6d,$be,
$11,$59,$74,$a3,$92,$6f,$12,$fe,$e5,$e4,$38,$77,$7c,$b6,$a9,$32,$df,$8c,$d8,$be,$c4,$d0,$73,$b9,$31,
$ba,$3b,$c8,$32,$b6,$8d,$9d,$d3,$00,$74,$1f,$a7,$bf,$8a,$fc,$47,$ed,$25,$76,$f6,$93,$6b,$a4,$24,$66,
$3a,$ab,$63,$9c,$5a,$e4,$f5,$68,$34,$23,$b4,$74,$2b,$f1,$c9,$78,$23,$8f,$16,$cb,$e3,$9d,$65,$2d,$e3,
$fd,$b8,$be,$fc,$84,$8a,$d9,$22,$22,$2e,$04,$a4,$03,$7c,$07,$13,$eb,$57,$a8,$1a,$23,$f0,$c7,$34,$73,
$fc,$64,$6c,$ea,$30,$6b,$4b,$cb,$c8,$86,$2f,$83,$85,$dd,$fa,$9d,$4b,$7f,$a2,$c0,$87,$e8,$79,$68,$33,
$03,$ed,$5b,$dd,$3a,$06,$2b,$3c,$f5,$b3,$a2,$78,$a6,$6d,$2a,$13,$f8,$3f,$44,$f8,$2d,$df,$31,$0e,$e0,
$74,$ab,$6a,$36,$45,$97,$e8,$99,$a0,$25,$5d,$c1,$64,$f3,$1c,$c5,$08,$46,$85,$1d,$f9,$ab,$48,$19,$5d,
$ed,$7e,$a1,$b1,$d5,$10,$bd,$7e,$e7,$4d,$73,$fa,$f3,$6b,$c3,$1e,$cf,$a2,$68,$35,$90,$46,$f4,$eb,$87,
$9f,$92,$40,$09,$43,$8b,$48,$1c,$6c,$d7,$88,$9a,$00,$2e,$d5,$ee,$38,$2b,$c9,$19,$0d,$a6,$fc,$02,$6e,
$47,$95,$58,$e4,$47,$56,$77,$e9,$aa,$9e,$30,$50,$e2,$76,$56,$94,$df,$c8,$1f,$56,$e8,$80,$b9,$6e,$71,
$60,$c9,$80,$dd,$98,$a5,$73,$ea,$44,$72,$06,$5a,$13,$9c,$d2,$90,$6c,$d1,$cb,$72,$9e,$c5,$2a,$52,$86,
$d4,$40,$14,$a6,$94,$ca,$45,$75,$83,$d5,$cf,$ef,$26,$f1,$b9,$0a,$d8,$29,$1d,$a0,$79,$9d,$00,$02,$2e,
$9b,$ed,$55,$c6,$fa,$47,$fc,$a5,$bb,$1a,$ca,$83,$76,$45,$6d,$98,$d9,$48,$79,$ee,$7e,$6d,$bf,$cd,$01,
$4b,$b1,$61,$55,$99,$14,$ec,$0b,$57,$6a,$67,$e3,$e8,$42,$2e,$91,$e6,$5b,$a1,$41,$da,$92,$de,$9c,$3a,
$6d,$6c,$ca,$51,$36,$dd,$42,$4b,$b1,$06,$49,$88,$eb,$5b,$a9,$ac,$12,$69,$f7,$df,$67,$3b,$98,$2e,$23,
$fb,$6c,$99,$bb,$2a,$a3,$1c,$5a,$66,$85,$ff,$d5,$99,$14,$9b,$30,$ac,$67,$b8,$46,$4d,$80,$a9,$5d,$42,
$53,$0a,$68,$16,$44,$d0,$39,$06,$0e,$8f,$8f,$d5,$26,$26,$96,$d0,$a7,$59,$5a,$e3,$f9,$35,$a6,$7d,$cf,
$f5,$a8,$74,$a7,$01,$fb,$fa,$0c,$3d,$53,$4b,$4e,$39,$bc,$09,$57,$70,$53,$37,$48,$21,$a1,$1c,$3a,$c9,
$98,$e0,$ba,$71,$80,$87,$b3,$17,$82,$5a,$1a,$cf,$cf,$ae,$bb,$f2,$4f,$25,$c6,$05,$1a,$da,$9c,$28,$5a,
$1f,$cd,$61,$14,$a8,$38,$a1,$ad,$e7,$14,$c1,$6a,$94,$01,$cd,$cf,$81,$e1,$07,$1f,$f7,$ab,$97,$23,$9f,
$51,$3b,$15,$c5,$bc,$ae,$2c,$0e,$b6,$8d,$fc,$14,$03,$03,$7c,$07,$07,$c1,$00,$80,$2c,$ff,$eb,$83,$3d,
$46,$8f,$2d,$5d,$2c,$89,$60,$de,$96,$37,$02,$48,$6f,$74,$64,$44,$fe,$5f,$2a,$4b,$fd,$a5,$0c,$91,$dc,
$c8,$bd,$51,$c0,$4e,$b9,$79,$60,$4d,$f0,$b6,$b7,$32,$2d,$5d,$8d,$26,$bc,$f7,$69,$ea,$51,$18,$51,$83,
$f4,$00,$c3,$bb,$32,$31,$cf,$a9,$1d,$47,$90,$78,$8e,$33,$66,$4e,$fa,$83,$8b,$cc,$a0,$2e,$e8,$46,$0f,
$ac,$cc,$53,$95,$22,$ce,$13,$db,$6e,$42,$1b,$d0,$83,$40,$fd,$82,$81,$2f,$cb,$2e,$04,$a4,$09,$25,$df,
$1e,$55,$9e,$6c,$1c,$af,$2b,$e2,$6b,$f7,$a6,$9d,$c7,$f6,$64,$c2,$04,$2c,$e2,$eb,$84,$b7,$33,$cf,$cb,
$95,$44,$9c,$87,$cb,$9a,$dc,$49,$14,$06,$b7,$79,$a7,$e1,$33,$61,$de,$96,$11,$c6,$1d,$02,$36,$85,$ef,
$27,$e6,$af,$3a,$52,$df,$63,$3b,$1e,$bb,$0e,$b6,$e1,$47,$7e,$98,$c2,$50,$d9,$b1,$19,$30,$f4,$bb,$c7,
$06,$11,$cc,$85,$76,$42,$37,$50,$ce,$cd,$c9,$30,$ae,$85,$84,$a8,$53,$50,$ca,$99,$71,$14,$54,$25,$00,
$00,$84,$ce,$b9,$37,$5c,$77,$fe,$27,$84,$0c,$53,$95,$60,$6b,$1d,$f5,$97,$c4,$46,$66,$c1,$0d,$55,$bc,
$75,$e8,$f1,$da,$cf,$04,$46,$0e,$d6,$49,$29,$42,$7c,$a3,$f9,$bb,$65,$fc,$7e,$fe,$a7,$ae,$af,$cb,$07,
$85,$4f,$1b,$a1,$b8,$d1,$5c,$3a,$ba,$5b,$ec,$61,$83,$97,$82,$96,$8f,$8a,$ac,$dd,$c7,$f9,$c7,$13,$8f,
$41,$be,$8a,$59,$77,$2e,$66,$79,$c7,$43,$e0,$0f,$a2,$75,$94,$99,$b2,$09,$4b,$93,$32,$5e,$27,$04,$2c,
$da,$b1,$85,$43,$ae,$a5,$38,$ba,$9e,$29,$7f,$0f,$14,$c7,$82,$8b,$7d,$3c,$bd,$d3,$a9,$cd,$87,$4a,$cf,
$46,$4e,$49,$83,$c6,$70,$9e,$58,$14,$88,$e9,$c2,$3d,$c4,$c4,$ad,$ba,$eb,$7f,$9b,$ba,$b0,$c7,$d9,$b8,
$ef,$11,$65,$69,$9e,$f2,$20,$ec,$5f,$cd,$f4,$40,$63,$3f,$ca,$30,$cc,$b7,$7b,$ef,$9b,$16,$a9,$59,$56,
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$84,$ab,$af,$cf,$1b,$d1,$f4,$a6,$f9,$18,$d5,$0b,$d7,$67,$ab,$b0,$9d,$c6,$fd,$93,$98,$dc,$1d,$03,$83,
$63,$79,$d6,$c4,$d5,$fe,$1c,$85,$9c,$6b,$d4,$df,$57,$50,$10,$32,$c2,$13,$ad,$38,$b3,$0d,$34,$91,$9a,
$80,$45,$6b,$e1,$38,$6c,$01,$0a,$25,$66,$0e,$87,$41,$ae,$27,$ed,$33,$9b,$a8,$12,$1b,$cf,$ce,$e0,$8d,
$48,$2a,$e0,$80,$46,$87,$52,$c9,$dc,$89,$fe,$18,$45,$58,$2c,$79,$e4,$cf,$f7,$2e,$ce,$9e,$4a,$cd,$11
{$ifndef MPC_FPrec30K}
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$7d,$b3,$c0,$44,$70,$e8,$7a,$2a,$b1,$c6,$a4,$21,$d2,$75,$13,$ef,$66,$b4,$36,$b7,$b2,$f5,$42,$b6,$8e,
$00,$ce,$70,$ca,$b1,$a4,$4d,$99,$e3,$7e,$4c,$5f,$38,$2c,$4a,$d3,$fd,$e7,$96,$6d,$d0,$fd,$6e,$ce,$bc,
$b5,$46,$7f,$c9,$f6,$51,$67,$2f,$e5,$c8,$8b,$05,$79,$bf,$0a,$83,$e4,$7f,$1c,$66,$e5,$05,$49,$7e,$b9,
$64,$d8,$73,$ad,$a7,$3a,$f0,$aa,$19,$16,$44,$ae,$aa,$34,$6d,$b0,$41,$d7,$b8,$c1,$5a,$83,$04,$34,$94,
$19,$72,$c0,$e9,$10,$b8,$3b,$1b,$83,$85,$a6,$36,$ce,$d3,$26,$28,$2f,$8c,$9e,$3a,$59,$27,$c7,$e5,$4c,
$b8,$34,$e4,$b7,$f4,$e8,$0d,$0a,$e2,$5c,$7c,$87,$86,$c2,$9d,$10,$52,$e8,$cd,$23,$31,$6f,$9c,$48,$30,
$dd,$8c,$b6,$37,$cd,$67,$e3,$66,$e6,$4b,$cb,$b9,$82,$db,$d1,$c3,$f8,$fc,$47,$79,$53,$36,$95,$07,$b6,
$b6,$24,$73,$98,$9e,$73,$f3,$4f,$9f,$9b,$c5,$86,$2c,$59,$bf,$4b,$07,$41,$61,$23,$f4,$b1,$7d,$be,$c8,
$a6,$7d,$48,$fc,$d5,$e9,$8c,$9d,$88,$e4,$ea,$0d,$4c,$55,$b3,$33,$40,$ab,$3c,$20,$58,$96,$9d,$7a,$ed,
$5b,$85,$8d,$a5,$e2,$34,$9c,$f3,$37,$a5,$98,$a4,$a0,$6e,$52,$74,$13,$14,$24,$06,$dc,$71,$95,$85,$39,
$b1,$b1,$ef,$4c,$9e,$85,$02,$91,$78,$74,$01,$b0,$fc,$9e,$e6,$b2,$6a,$94,$ff,$58,$aa,$03,$c0,$2e,$c9,
$6f,$f8,$8d,$6f,$74,$bd,$9c,$44,$9a,$41,$6c,$81,$00,$88,$ad,$b2,$f3,$df,$33,$5d,$a7,$0a,$d4,$c4,$4f,
$b0,$05,$90,$38,$f4,$ce,$2a,$ef,$58,$09,$51,$eb,$7c,$2e,$8e,$08,$27,$3d,$d1,$b3,$9d,$9d,$eb,$e8,$71,
$48,$1d,$58,$18,$21,$72,$ff,$93,$a2,$ba,$23,$76,$1e,$aa,$be,$6c,$13,$3e,$6a,$9f,$86,$52,$30,$97,$00,
$be,$e2,$a3,$00,$70,$da,$b9,$35,$ba,$f8,$7e,$64,$35,$3e,$1a,$69,$97,$37,$a8,$0f,$c2,$49,$4b,$70,$82,
$39,$a7,$ed,$d3,$98,$4c,$b3,$9d,$f8,$96,$d5,$e3,$f7,$f8,$ce,$b0,$dc,$b9,$ae,$0e,$b2,$c0,$88,$00,$8e,
$5e,$9b,$b1,$be,$d6,$ff,$f3,$f5,$37,$53,$2f,$d7,$b4,$7d,$0f,$f9,$60,$8f,$bd,$3a,$08,$cb,$45,$4a,$bc,
$39,$c6,$32,$5c,$16,$6f,$66,$08,$07,$d2,$a7,$58,$b9,$e9,$4a,$6e,$a2,$78,$49,$23,$4e,$fe,$21,$95,$b1,
$44,$53,$43,$af,$13,$3b,$85,$80,$d3,$62,$8e,$48,$39,$1e,$20,$ba,$6b,$a3,$ef,$78,$ea,$f7,$07,$db,$69,
$47,$94,$97,$6c,$ae,$b8,$40,$7e,$1b,$9e,$9b,$67,$1a,$2a,$49,$c2,$3f,$36,$4a,$4f,$2f,$03,$2c,$0f,$21,
$be,$2a,$2b,$4b,$0b,$c0,$10,$93,$ba,$f2,$b2,$d1,$4b,$62,$73,$1c,$7f,$35,$67,$1f,$e4,$5f,$c1,$88,$af,
$1b,$62,$82,$2c,$60,$d3,$48,$4c,$9a,$21,$32,$a0,$b8,$ea,$b2,$fc,$dd,$e1,$bc,$be,$8b,$2a,$db,$8f,$73,
$94,$d6,$b4,$7c,$82,$b1,$81,$f1,$ae,$38,$53,$d7,$ad,$0e,$23,$9d,$d4,$05,$29,$99,$59,$99,$7d,$ed,$92,
$90,$f9,$2e,$8e,$0f,$40,$6c,$b9,$04,$1e,$63,$ac,$a6,$1b,$e4,$27,$83,$29,$07,$de,$cd,$dd,$cb,$04,$98,
$0c,$21,$42,$21,$c6,$31,$39,$f4,$6f,$50,$19,$7f,$f3,$a0,$e4,$bf,$62,$aa,$8d,$b4,$4a,$ed,$32,$32,$74,
$26,$53,$ec,$2d,$c5,$3e,$5a,$06,$3e,$69,$4e,$66,$28,$28,$5e,$31,$89,$a1,$2a,$07,$a2,$ba,$5c,$bd,$ae,
$10,$97,$ad,$9e,$8a,$75,$21,$95,$46,$f5,$c6,$6b,$cc,$b0,$62,$75,$45,$15,$41,$77,$20,$75,$4f,$92,$10,
$93,$b6,$ad,$e5,$bb,$d1,$a8,$12,$63,$c0,$d9,$9f,$7b,$b7,$80,$eb,$02,$ac,$f1,$25,$dc,$cf,$54,$c5,$aa,
$24,$4c,$2a,$23,$f3,$25,$81,$11,$02,$b3,$ba,$e2,$4e,$9d,$c9,$6e,$0a,$c3,$87,$bd,$a7,$4c,$0a,$97,$23,
$b9,$ee,$13,$7b,$d6,$8c,$6c,$25,$b2,$7a,$fe,$23,$54,$4b,$5e,$23,$9f,$90,$00,$bb,$a1,$f8,$0a,$bd,$b0,
$d6,$28,$6e,$c0,$ba,$35,$eb,$f7,$e7,$ec,$39,$de,$43,$a5,$0a,$8e,$cf,$06,$ae,$b1,$bf,$e9,$eb,$e7,$7d,
$e5,$be,$4c,$86,$ee,$65,$00,$5d,$2a,$2a,$3b,$48,$85,$8b,$33,$fc,$6e,$e6,$76,$aa,$35,$54,$69,$35,$79,
$12,$fb,$37,$78,$fb,$2a,$03,$71,$42,$40,$e4,$fb,$bc,$9c,$94,$8f,$4c,$75,$23,$8e,$87,$08,$93,$ad,$97,
$98,$14,$b0,$e9,$08,$42,$70,$cb,$c1,$4b,$b8,$e2,$3b,$67,$df,$aa,$64,$71,$8b,$e5,$dd,$ed,$56,$e8,$05,
$43,$2f,$28,$ce,$bb,$19,$49,$77,$cc,$60,$e0,$d0,$ea,$73,$89,$a4,$d8,$ab,$62,$c0,$4d,$05,$02,$e3,$7d,
$73,$e0,$47,$a7,$fd,$56,$45,$9f,$c1,$59,$0e,$04,$bd,$38,$16,$22,$94,$ac,$32,$ee,$3a,$51,$3b,$d6,$c5,
$a8,$dc,$f1,$3b,$68,$5f,$7f,$3f,$ba,$bd,$52,$f2,$ef,$a1,$dc,$f8,$f4,$b1,$4c,$77,$34,$15,$71,$19,$ca,
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$1f,$9e,$13,$c9,$91,$61,$59,$ad,$85,$99,$fa,$d6,$8d,$94,$0e,$6d,$cc,$83,$35,$70,$a1,$dd,$1f,$10,$b1,
$40,$18,$9a,$62,$08,$df,$15,$06,$40,$33,$55,$46,$fa,$a3,$c1,$87,$2c,$ba,$db,$44,$02,$71,$7e,$3f,$91,
$19,$f3,$a7,$79,$ae,$13,$11,$d2,$41,$f9,$fa,$4c,$35,$37,$a6,$80,$dd,$20,$08,$42,$50,$4d,$47,$40,$68,
$b3,$45,$9c,$79,$79,$fa,$8d,$b9,$35,$2e,$bb,$8c,$61,$bf,$72,$02,$86,$26,$e0,$50,$56,$fc,$17,$97,$0b,
$3a,$b5,$44,$c1,$ec,$42,$fd,$2a,$c6,$fc,$24,$77,$66,$8d,$80,$19,$39,$fb,$fd,$e0,$00,$0b,$63,$f5,$9e,
$40,$cd,$96,$4b,$2d,$9d,$56,$99,$ed,$fc,$6a,$5d,$0a,$27,$0c,$b6,$b0,$c4,$0d,$a2,$d0,$f1,$7d,$f9,$1b,
$5d,$89,$a9,$60,$93,$fd,$e8,$70,$10,$94,$ef,$8a,$66,$db,$92,$19,$a2,$75,$a9,$a8,$d9,$90,$2c,$39,$fb,
$44,$3b,$f3,$86,$ce,$da,$4c,$65,$5e,$69,$31,$d4,$47,$bb,$cb,$89,$75,$b9,$cd,$14,$d6,$82,$8e,$79,$35,
$c3,$50,$16,$2e,$5f,$2e,$a2,$3f,$cf,$e9,$ec,$52,$c9,$33,$71,$b3,$65,$ec,$c9,$5d,$fd,$a7,$b9,$f4,$bd,
$15,$ba,$b7,$a0,$a9,$d9,$fe,$c0,$04,$2b,$9e,$9b,$0d,$15,$35,$0d,$69,$91,$f3,$cb,$3f,$90,$53,$d7,$e4,
$e7,$78,$79,$ac,$e9,$59,$1d,$87,$35,$2d,$7d,$2e,$3e,$77,$8c,$9c,$07,$67,$ce,$21,$65,$59,$24,$9c,$02,
$04,$9a,$f2,$53,$b4,$81,$32,$8e,$6a,$0b,$4f,$b9,$28,$09,$bf,$c9,$8a,$f9,$30,$73,$60,$f6,$05,$c7,$b7,
$17,$ab,$c4,$6c,$b9,$9c,$de,$31,$13,$ee,$36,$ef,$90,$e0,$86,$c8,$a7,$b5,$6e,$57,$3d,$c1,$26,$ab,$0d,
$8d,$72,$f9,$07,$13,$77,$6c,$de,$e6,$bf,$41,$7c,$32,$fd,$6d,$1a,$47,$34,$f4,$da,$5d,$b0,$18,$bb,$43,
$ff,$a6,$76,$4d,$b6,$d1,$e3,$99,$53,$66,$c8,$bc,$d3,$6f,$a2,$c4,$fc,$b9,$f3,$2d,$f7,$0b,$78,$9c,$c6,
$c1,$a1,$7e,$2f,$53,$f2,$f7,$e5,$fe,$80,$be,$ad,$c1,$16,$c7,$41,$57,$e5,$ea,$53,$8c,$76,$dd,$e2,$e1,
$ca,$20,$b7,$d7,$f2,$01,$55,$df,$6d,$a5,$75,$d3,$e6,$8c,$37,$92,$83,$3c,$12,$70,$29,$cd,$17,$e9,$65,
$ae,$54,$27,$d5,$7d,$8d,$20,$cc,$21,$34,$2b,$ef,$88,$92,$ab,$61,$32,$91,$4e,$f2,$08,$41,$7a,$66,$d3,
$56,$27,$52,$80,$bf,$b3,$cc,$4d,$be,$ee,$a0,$64,$8c,$86,$af,$65,$f4,$51,$b7,$e7,$d3,$8a,$ee,$7e,$01,
$02,$58,$b6,$5b,$68,$3b,$73,$d4,$74,$df,$65,$88,$7d,$e3,$7b,$28,$e4,$10,$a8,$5b,$bf,$65,$10,$7e,$14,
$f0,$54,$12,$d5,$e7,$44,$09,$3f,$60,$95,$8c,$14,$74,$d1,$d1,$96,$22,$cb,$3a,$06,$9a,$fa,$9b,$56,$37,
$d8,$b2,$06,$4c,$40,$a4,$d4,$74,$b9,$e4,$13,$b7,$6c,$0e,$a2,$0d,$17,$f2,$f6,$f9,$88,$c1,$f6,$e2,$eb,
$74,$81,$cc,$b9,$6e,$e2,$49,$74,$c9,$bd,$0a,$43,$77,$1b,$3e,$2c,$71,$66,$02,$dc,$92,$20,$9f,$c1,$a8,
$00,$1d,$9e,$7b,$85,$a1,$97,$92,$3a,$c7,$ce,$ea,$dd,$93,$63,$fa,$33,$cf,$2c,$3a,$12,$3d,$52,$cd,$4e,
$25,$5b,$67,$1b,$bb,$3b,$0e,$59,$5c,$fb,$1c,$73,$82,$0a,$04,$0e,$a1,$be,$fb,$85,$f6,$21,$16,$b7,$79,
$83,$4e,$bf,$c3,$c0,$1f,$2f,$a2,$74,$c0,$ce,$95,$43,$ca,$84,$4b,$82,$06,$54,$be,$10,$a4,$e8,$25,$d3,
$c3,$c9,$16,$f4,$29,$79,$ff,$9e,$64,$52,$16,$71,$80,$d5,$22,$60,$ab,$3a,$bf,$58,$3d,$5e,$78,$48,$cf,
$d0,$24,$16,$46,$6f,$be,$ac,$77,$fc,$e3,$c0,$86,$14,$71,$0c,$35,$a2,$bf,$ec,$0e,$a8,$8a,$ed,$cb,$90,
$5b,$ea,$a7,$57,$ab,$4e,$91,$3f,$a0,$1e,$59,$12,$8b,$a5,$58,$7e,$e2,$e0,$06,$51,$0c,$c0,$28,$78,$b0,
$15,$33,$3d,$36,$02,$13,$52,$5f,$ff,$de,$84,$30,$cf,$a2,$ca,$e2,$0a,$39,$ca,$34,$6c,$f7,$ac,$ca,$77,
$54,$b0,$0c,$6e,$22,$d0,$fd,$81,$b1,$7f,$ad,$08,$4b,$9d,$b9,$b7,$18,$25,$64,$cc,$93,$99,$04,$6a,$44,
$6a,$94,$4e,$2f,$a8,$42,$77,$af,$33,$16,$ee,$8e,$3c,$66,$1f,$bb,$2e,$28,$bf,$3f,$28,$9e,$24,$7b,$ee,
$3e,$c3,$0b,$bd,$60,$45,$e5,$8d,$81,$89,$69,$2b,$99,$2c,$61,$b2,$7c,$f3,$cb,$f2,$f0,$f1,$63,$03,$fd,
$7a,$9d,$03,$e6,$26,$09,$e5,$49,$59,$2a,$70,$54,$3f,$ee,$a3,$39,$89,$91,$7a,$01,$0f,$44,$6f,$ef,$cf,
$f3,$30,$d8,$66,$cf,$0d,$5c,$f4,$43,$da,$d8,$34,$46,$05,$6a,$38,$48,$20,$b5,$d8,$90,$45,$24,$91,$7c,
$69,$e8,$26,$5c,$9c,$6b,$50,$29,$0c,$47,$65,$50,$05,$b0,$62,$cd,$f4,$ff,$ef,$a8,$f2,$a7,$dd,$72,$de,
$26,$f7,$32,$34,$55,$0d,$15,$e9,$c6,$60,$7d,$e1,$1e,$50,$2e,$4b,$95,$e0,$8e,$19,$7b,$a4,$60,$d0,$5d,
$b4,$68,$73,$c9,$97,$fc,$a9,$5e,$75,$be,$bb,$6d,$9a,$fe,$1b,$2c,$64,$78,$d6,$2c,$39,$72,$28,$25,$93,
$c1,$2b,$90,$1f,$43,$72,$16,$57,$4e,$4d,$17,$7f,$e4,$7a,$75,$8d,$4b,$b0,$6e,$75,$25,$77,$5b,$f9,$fa,
$f6,$20,$56,$f3,$c3,$b7,$fb,$6c,$07,$f0,$0a,$fc,$ae,$ca,$8a,$9b,$e9,$f3,$4b,$c7,$3a,$94,$e5,$63,$c9,
$c1,$a0,$d6,$49,$00,$dd,$88,$18,$c3,$c9,$99,$4a,$d4,$24,$4c,$0e,$f9,$0f,$fe,$e2,$21,$60,$48,$84,$0c,
$81,$6b,$6a,$7c,$34,$d9,$02,$88,$a0,$1c,$56,$34,$de,$9d,$00,$e2,$c5,$e9,$ea,$aa,$04,$86,$55,$b9,$6c,
$8e,$72,$56,$b8,$cb,$bc,$68,$52,$d1,$0a,$9f,$be,$31,$e0,$38,$51,$27,$29,$3c,$5a,$b7,$52,$39,$81,$e6,
$e7,$5d,$c5,$29,$1d,$66,$a7,$cd,$ab,$6d,$7f,$38,$07,$01,$4d,$11,$3f,$7b,$d4,$49,$88,$a7,$87,$16,$89,
$ea,$5d,$05,$3c,$e5,$c5,$60,$09,$e5,$92,$ee,$8c,$cd,$5d,$c6,$4f,$9d,$bc,$e4,$e0,$14,$0f,$0e,$34,$22,
$67,$b9,$69,$d5,$be,$2a,$0e,$1b,$61,$34,$a5,$d1,$8c,$06,$80,$49,$1b,$03,$e2,$94,$d0,$15,$53,$74,$72,
$1a,$e6,$97,$00,$b9,$e9,$6a,$11,$ab,$ab,$65,$2b,$d0,$53,$48,$3f,$f9,$b3,$9e,$ad,$cb,$d0,$9d,$6c,$5c,
$07,$4d,$e0,$02,$aa,$2d,$53,$8e,$47,$1e,$5b,$b2,$2a,$08,$19,$13,$36,$cc,$95,$ec,$b2,$40,$cd,$c8,$a2,
$8d,$be,$a7,$3b,$b9,$d3,$98,$92,$e1,$c5,$75,$6e,$44,$34,$45,$cd,$bd,$14,$37,$ec,$e1,$02,$ce,$02,$21,
$dc,$cd,$b4,$2a,$58,$89,$b0,$7c,$6c,$75,$fa,$bc,$7b,$e4,$59,$28,$8d,$2a,$fa,$c7,$31,$b5,$bd,$57,$24,
$de,$1e,$06,$d4,$54,$a6,$e1,$47,$8d,$43,$5c,$42,$11,$71,$97,$75,$45,$91,$d2,$3f,$b4,$1e,$64,$c9,$ce,
$63,$60,$f5,$73,$66,$2c,$dc,$87,$23,$61,$ef,$69,$89,$c8,$7d,$b5,$e7,$f0,$00,$f5,$e5,$0c,$dd,$6c,$c5,
$58,$ea,$e4,$ae,$20,$ef,$1f,$95,$e7,$64,$db,$b3,$0f,$68,$f4,$7a,$dc,$9b,$83,$ce,$08,$6b,$b6,$87,$a5,
$6f,$69,$8d,$e1,$df,$be,$95,$4a,$6c,$a6,$4d,$d0,$c8,$c0,$fc,$1f,$53,$74,$27,$bd,$25,$c3,$40,$5d,$c2,
$b5,$cc,$f6,$69,$d5,$76,$b4,$5c,$f9,$07,$f2,$33,$9b,$09,$8c,$ae,$25,$b8,$27,$08,$3d,$76,$18,$8f,$a4,
$65,$96,$e4,$37,$32,$54,$c1,$23,$48,$eb,$cc,$e7,$ca,$85,$1d,$8f,$f4,$12,$ec,$8f,$06,$22,$57,$34,$ae,
$a3,$e7,$cf,$a5,$7c,$8b,$3a,$98,$4d,$d2,$d6,$8e,$76,$d2,$6e,$e7,$7a,$34,$19,$25,$55,$37,$4c,$90,$0d,
$a1,$bd,$e6,$f5,$2a,$90,$7c,$24,$8d,$17,$9e,$cf,$d2,$e6,$01,$6e,$48,$43,$24,$6c,$6d,$ca,$25,$a4,$26,
$d0,$1d,$c2,$9c,$5e,$f5,$1c,$59,$46,$59,$a1,$70,$ee,$8a,$60,$67,$a5,$27,$70,$7d,$a3,$fd,$4d,$66,$06,
$9e,$6f,$72,$6c,$8f,$6a,$2a,$e8,$c5,$f5,$8d,$8b,$d0,$90,$e5,$7a,$36,$46,$31,$74,$a7,$89,$2a,$6b,$e5
{$endif}
);
{---------------------------------------------------------------------------}
function AddrPiBytes: pointer;
{-Pointer to bits of Pi, big endian format}
begin
AddrPiBytes := @PiBytes;
end;
{---------------------------------------------------------------------------}
{---------------------------------------------------------------------------}
const
L2Bytes: packed array[1..MAX_TCBITS div 8] of byte = ( {calculated with t_ciln2}
$b1,$72,$17,$f7,$d1,$cf,$79,$ab,$c9,$e3,$b3,$98,$03,$f2,$f6,$af,$40,$f3,$43,$26,$72,$98,$b6,$2d,$8a,
$0d,$17,$5b,$8b,$aa,$fa,$2b,$e7,$b8,$76,$20,$6d,$eb,$ac,$98,$55,$95,$52,$fb,$4a,$fa,$1b,$10,$ed,$2e,
$ae,$35,$c1,$38,$21,$44,$27,$57,$3b,$29,$11,$69,$b8,$25,$3e,$96,$ca,$16,$22,$4a,$e8,$c5,$1a,$cb,$da,
$11,$31,$7c,$38,$7e,$b9,$ea,$9b,$c3,$b1,$36,$60,$3b,$25,$6f,$a0,$ec,$76,$57,$f7,$4b,$72,$ce,$87,$b1,
$9d,$65,$48,$ca,$f5,$df,$a6,$bd,$38,$30,$32,$48,$65,$5f,$a1,$87,$2f,$20,$e3,$a2,$da,$2d,$97,$c5,$0f,
$3f,$d5,$c6,$07,$f4,$ca,$11,$fb,$5b,$fb,$90,$61,$0d,$30,$f8,$8f,$e5,$51,$a2,$ee,$56,$9d,$6d,$fc,$1e,
$fa,$15,$7d,$2e,$23,$de,$14,$00,$b3,$96,$17,$46,$07,$75,$db,$89,$90,$e5,$c9,$43,$e7,$32,$b4,$79,$cd,
$33,$cc,$cc,$4e,$65,$93,$93,$51,$4c,$4c,$1a,$1e,$0b,$d1,$d6,$09,$5d,$25,$66,$9b,$33,$35,$64,$a3,$37,
$6a,$9c,$7f,$8a,$5e,$14,$8e,$82,$07,$4d,$b6,$01,$5c,$fe,$7a,$a3,$0c,$48,$0a,$54,$17,$35,$0d,$2c,$95,
$5d,$51,$79,$b1,$e1,$7b,$9d,$ae,$31,$3c,$db,$6c,$60,$6c,$b1,$07,$8f,$73,$5d,$1b,$2d,$b3,$1b,$5f,$50,
$b5,$18,$50,$64,$c1,$8b,$4d,$16,$2d,$b3,$b3,$65,$85,$3d,$75,$98,$a1,$95,$1a,$e2,$73,$ee,$55,$70,$b6,
$c6,$8f,$96,$98,$34,$96,$d4,$e6,$d3,$30,$af,$88,$9b,$44,$a0,$25,$54,$73,$1c,$dc,$8e,$a1,$72,$93,$d1,
$22,$8a,$4e,$f9,$8d,$6f,$51,$77,$fb,$cf,$07,$55,$26,$8a,$5c,$1f,$95,$38,$b9,$82,$61,$af,$fd,$44,$6b,
$1c,$a3,$cf,$5e,$92,$22,$b8,$8c,$66,$d3,$c5,$42,$21,$83,$ed,$c9,$94,$21,$09,$0b,$bb,$16,$fa,$f3,$d9,
$49,$f2,$36,$e0,$2b,$20,$ce,$e8,$86,$b9,$05,$c1,$28,$d5,$3d,$0b,$d2,$f9,$62,$13,$63,$19,$6a,$f5,$03,
$02,$00,$60,$e4,$99,$08,$39,$1a,$0c,$57,$33,$9b,$a2,$be,$ba,$7d,$05,$2a,$c5,$b6,$1c,$c4,$e9,$20,$7c,
$ef,$2f,$0c,$e2,$d7,$37,$39,$58,$d7,$62,$26,$58,$90,$1e,$64,$6a,$95,$18,$44,$60,$dc,$4e,$74,$87,$15,
$6e,$0c,$29,$24,$13,$d5,$e3,$61,$c1,$69,$6d,$d2,$4a,$ae,$bd,$47,$38,$26,$fd,$a0,$c2,$38,$b9,$0a,$b1,
$11,$bb,$bd,$67,$c7,$24,$97,$2c,$d1,$8b,$fb,$bd,$9d,$42,$6c,$47,$20,$96,$e7,$61,$15,$c0,$5f,$6f,$7c,
$eb,$ac,$9f,$45,$ae,$ce,$cb,$72,$f1,$9c,$38,$33,$9d,$8f,$68,$26,$25,$0d,$ea,$89,$1e,$f0,$7a,$ff,$f3,
$a8,$92,$37,$4e,$17,$5e,$b4,$af,$c8,$da,$ad,$d8,$85,$db,$6a,$b0,$3a,$49,$bd,$0d,$c0,$b1,$b3,$1d,$8a,
$0e,$23,$fa,$c5,$e5,$76,$7d,$f9,$58,$84,$e0,$64,$25,$a4,$15,$26,$fa,$c5,$1c,$3e,$a8,$44,$9f,$e8,$f7,
$0e,$dd,$06,$2b,$1a,$63,$a6,$c4,$c6,$0c,$52,$ab,$33,$16,$1e,$23,$84,$38,$89,$7a,$39,$ce,$78,$b6,$3c,
$9f,$36,$4f,$5b,$8a,$ef,$22,$ec,$2f,$ee,$6e,$08,$50,$ec,$a4,$2d,$06,$fb,$0c,$75,$df,$54,$97,$e0,$0c,
$55,$4b,$03,$d7,$d2,$87,$4a,$00,$0c,$a8,$f5,$8d,$94,$f0,$34,$1c,$be,$2e,$c9,$21,$56,$c9,$f9,$49,$db,
$4a,$93,$16,$f2,$81,$50,$1e,$53,$da,$ec,$3f,$64,$f1,$b7,$83,$15,$4c,$60,$32,$0e,$2f,$f7,$93,$33,$ce,
$35,$73,$fa,$cc,$5f,$dc,$f1,$17,$85,$90,$31,$55,$bb,$d9,$0f,$02,$3b,$22,$02,$24,$fc,$d8,$47,$1b,$f4,
$f4,$45,$f0,$a8,$8a,$14,$f0,$cd,$97,$6e,$a3,$54,$bb,$20,$cd,$b5,$cc,$b3,$db,$23,$92,$88,$d5,$86,$55,
$4e,$2a,$0e,$8a,$6f,$e5,$1a,$8c,$fa,$a7,$2e,$f2,$ad,$8a,$43,$dc,$42,$12,$b2,$10,$b7,$79,$df,$e4,$9d,
$73,$07,$cc,$84,$65,$32,$e4,$b9,$69,$4e,$da,$d1,$62,$af,$05,$3b,$17,$51,$f3,$a3,$d0,$91,$f6,$56,$65,
$81,$54,$12,$b5,$e8,$c2,$02,$46,$10,$69,$ac,$14,$b9,$58,$78,$49,$34,$b8,$d6,$cc,$e1,$da,$a5,$05,$37,
$01,$1a,$a4,$fb,$42,$b9,$a3,$de,$f4,$1b,$da,$1f,$85,$ef,$6f,$db,$f2,$f2,$d8,$9d,$2a,$4b,$18,$35,$27,
$8f,$d9,$40,$57,$89,$f4,$56,$81,$2b,$55,$28,$79,$a6,$16,$86,$95,$c1,$29,$63,$b0,$ff,$01,$ea,$ab,$73,
$e5,$b5,$c1,$58,$53,$18,$e7,$62,$4f,$14,$a5,$1a,$4a,$02,$6b,$68,$08,$29,$20,$57,$fd,$99,$b6,$6d,$c0,
$85,$a9,$8a,$c8,$d8,$ca,$f9,$ee,$ee,$a9,$8a,$24,$00,$ca,$c9,$5f,$26,$0f,$d1,$00,$36,$f9,$f9,$10,$96,
$ac,$31,$95,$22,$0a,$1a,$35,$6b,$2a,$73,$b7,$ea,$ad,$af,$6d,$60,$58,$71,$ef,$7a,$fb,$80,$bc,$42,$34,
$33,$56,$2e,$94,$b1,$2d,$fa,$b4,$14,$45,$15,$79,$df,$59,$ea,$e0,$51,$70,$70,$62,$40,$12,$a8,$29,$62,
$c5,$9c,$ab,$34,$7f,$83,$04,$d8,$89,$65,$9e,$5a,$91,$39,$db,$14,$ef,$cc,$30,$85,$2b,$e3,$e8,$fc,$99,
$f1,$4d,$1d,$82,$2d,$d6,$e2,$f7,$67,$97,$e3,$02,$19,$c8,$aa,$9c,$e8,$84,$8a,$88,$6e,$b3,$c8,$7b,$72,
$95,$98,$80,$12,$e8,$31,$41,$86,$ed,$ba,$f8,$68,$56,$cc,$d3,$c3,$b6,$ee,$94,$e6,$2f,$11,$0a,$67,$83,
$d2,$aa,$e8,$9c,$cc,$3b,$76,$fc,$43,$5a,$0c,$e1,$34,$c2,$83,$8f,$d5,$71,$ec,$6c,$13,$66,$a9,$92,$cb,
$b9,$ac,$40,$7d,$db,$6c,$13,$a4,$b8,$d1,$ec,$f7,$56,$7e,$b0,$97,$1c,$c9,$0b,$55,$18,$56,$9f,$14,$4e,
$67,$eb,$e9,$b4,$26,$98,$fe,$a7,$9d,$89,$d5,$c5,$ed,$40,$ac,$5e,$37,$01,$d7,$d7,$72,$53,$77,$cf,$06,
$56,$90,$7f,$b9,$b1,$b1,$6e,$a8,$91,$1a,$fb,$f1,$ae,$5a,$66,$20,$3d,$62,$fd,$1e,$70,$93,$43,$5b,$9c,
$27,$77,$36,$a7,$0f,$a8,$60,$1c,$f6,$86,$8a,$05,$5b,$22,$38,$67,$7a,$2b,$fb,$bd,$84,$3b,$fa,$18,$73,
$f0,$c4,$46,$b0,$1b,$2a,$e0,$e9,$8e,$0e,$15,$27,$a9,$00,$b1,$af,$5e,$75,$f8,$7c,$7c,$d1,$7a,$f8,$04,
$d9,$33,$d6,$f7,$e1,$b9,$e1,$90,$3d,$71,$c7,$bb,$a0,$28,$11,$37,$60,$90,$dd,$61,$73,$35,$df,$dd,$42,
$4f,$2b,$66,$1c,$d8,$50,$63,$03,$4e,$34,$1b,$06,$e2,$11,$97,$7b,$07,$5a,$8b,$78,$08,$df,$43,$bd,$8e,
$ef,$1f,$d9,$67,$8c,$c0,$b5,$e9,$f6,$0a,$3e,$b8,$17,$47,$f8,$7e,$57,$09,$46,$8d,$78,$eb,$d2,$da,$01,
$16,$e6,$b6,$5a,$eb,$3b,$e7,$7e,$e2,$36,$fd,$c3,$3b,$c8,$e7,$df,$1f,$fc,$2e,$22,$88,$f8,$ca,$9a,$ee,
$5b,$60,$89,$9d,$52,$24,$7f,$4c,$e0,$b6,$ff,$d8,$b9,$47,$81,$76,$42,$c6,$f2,$24,$f7,$0f,$88,$25,$5e,
$1c,$08,$39,$cb,$cb,$dd,$82,$6c,$5d,$37,$70,$06,$7e,$3e,$08,$eb,$67,$9c,$1d,$b7,$ff,$c1,$68,$42,$23,
$d7,$c6,$e6,$81,$15,$a2,$83,$22,$91,$ff,$14,$fc,$9d,$b2,$5d,$a9,$be,$cc,$b4,$c2,$75,$33,$e7,$47,$d9,
$04,$7f,$55,$c9,$01,$af,$f6,$4a,$09,$c4,$5b,$e2,$c7,$3e,$6f,$dc,$29,$69,$6e,$22,$68,$a5,$e0,$c9,$2f,
$51,$81,$95,$db,$bd,$18,$c4,$ef,$70,$2d,$6c,$55,$01,$31,$6d,$ed,$1f,$3e,$55,$85,$f6,$dd,$d1,$3a,$05,
$95,$46,$94,$87,$0e,$71,$c1,$94,$cb,$c4,$39,$62,$e1,$12,$ee,$67,$99,$0c,$36,$31,$21,$77,$d1,$b7,$b1,
$a7,$69,$f8,$87,$32,$4b,$53,$de,$1a,$4c,$99,$c9,$a0,$92,$c1,$06,$c3,$ce,$35,$b9,$48,$cb,$52,$53,$d6,
$6a,$e9,$9d,$7e,$fb,$ea,$3d,$9e,$7f,$58,$62,$17,$ae,$b4,$06,$8a,$ee,$de,$38,$4f,$a8,$8b,$87,$fd,$03,
$63,$81,$a7,$43,$42,$da,$7a,$6e,$d2,$65,$8a,$de,$a5,$ee,$41,$4c,$bc,$1b,$b5,$f5,$05,$d2,$20,$a7,$04,
$3a,$07,$42,$28,$1b,$03,$f8,$1f,$c6,$47,$39,$30,$ff,$7c,$84,$7e,$90,$a3,$73,$f5,$a9,$a5,$27,$bd,$44,
$47,$ad,$b7,$d1,$9c,$45,$e2,$71,$5d,$3d,$15,$c2,$98,$57,$0b,$15,$2c,$ec,$2f,$bd,$58,$2d,$c4,$6a,$e7,
$26,$e4,$9e,$3c,$7c,$33,$4b,$5e,$fd,$b4,$c6,$fa,$45,$07,$ba,$00,$26,$76,$1a,$68,$0b,$77,$f6,$ca,$b5,
$ed,$37,$6d,$10,$58,$39,$f0,$31,$92,$22,$be,$8f,$db,$67,$92,$68,$9f,$f1,$58,$a5,$99,$08,$f1,$67,$07,
$76,$73,$8a,$f2,$0f,$3c,$cf,$6d,$58,$2b,$a8,$c6,$12,$0d,$a6,$a6,$49,$a5,$57,$83,$ce,$13,$4a,$42,$bb,
$af,$ae,$7d,$ac,$1d,$53,$87,$bf,$01,$8d,$2b,$31,$01,$22,$34,$78,$59,$28,$dc,$db,$04,$1e,$93,$25,$b4,
$af,$62,$1a,$8a,$55,$5e,$27,$6a,$31,$41,$f6,$01,$e3,$bd,$2b,$cb,$98,$56,$b2,$9f,$ad,$c8,$ec,$1b,$2f,
$45,$a1,$62,$99,$e5,$ac,$fa,$4d,$76,$8e,$e2,$fe,$52,$71,$57,$ff,$cd,$4a,$70,$aa,$1e,$df,$64,$10,$11,
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$c4,$50,$dc,$a7,$a9,$02,$47,$84,$be,$09,$f6,$09,$ee,$c9,$04,$43,$85,$0a,$ca,$3b,$ed,$5f,$3d,$14,$af,
$70,$7b,$b0,$95,$af,$93,$1c,$f8,$31,$7d,$02,$a3,$73,$4a,$d2,$cc,$11,$4b,$ff,$03,$d0,$60,$4a,$99,$8e,
$01,$95,$0b,$82,$e6,$86,$ce,$94,$a8,$38,$ee,$11,$68,$96,$88,$d0,$fd,$96,$7d,$06,$bd,$a5,$b7,$2a,$a6,
$13,$fa,$22,$0b,$bd,$ec,$99,$5c,$53,$ef,$ad,$e3,$56,$ed,$90,$b7,$a9,$43,$fd,$28,$0f,$ce,$7d,$f5,$1d,
$60,$7b,$1b,$85,$53,$5b,$4c,$e9,$34,$3f,$67,$1d,$48,$77,$fc,$71,$94,$cc,$c4,$cd,$fe,$fc,$08,$ea,$6d,
$a2,$46,$40,$bb,$e2,$ba,$0f,$2b,$9f,$73,$ad,$3d,$da,$75,$60,$93,$22,$47,$ff,$56,$56,$34,$67,$f3,$20,
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$d8,$99,$57,$23,$81,$57,$fb,$ef,$fa,$03,$45,$b5,$aa,$b3,$d1,$fe,$ed,$cb,$09,$f1,$4c,$40,$25,$7b,$2b,
$7f,$30,$8e,$b7,$99,$ab,$4c,$95,$d1,$a1,$ed,$94,$bd,$da,$0b,$62,$5f,$39,$c4,$c8,$6f,$c5,$ee,$57,$48,
$04,$1d,$64,$7a,$ef,$cb,$7a,$f2,$26,$fe,$13,$82,$99,$7d,$87,$b2,$21,$99,$e9,$12,$c3,$e3,$f5,$3d,$b5,
$a7,$20,$8e,$03,$52,$bb,$66,$b3,$79,$77,$8c,$ee,$2e,$c9,$af,$2d,$87,$31,$11,$9f,$38,$bd,$9d,$90,$d4,
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$66,$84,$03,$67,$ae,$0b,$74,$cb,$4d,$bf,$e4,$ce,$bd,$7f,$e7,$4b,$8d,$e2,$aa,$91,$76,$bd,$b5,$00,$61,
$3e,$e2,$ac,$34,$e4,$e9,$e7,$87,$b4,$c2,$9e,$7f,$b2,$08,$a9,$dd,$9c,$92,$f0,$02,$ca,$30,$f8,$33,$f5,
$60,$93,$c1,$84,$8b,$de,$22,$a0,$bd,$ad,$10,$22,$21,$80,$95,$f2,$b8,$63,$b0,$6c,$ca,$87,$9f,$0b,$c8,
$d7,$73,$a5,$28,$1e,$ef,$a8,$11,$77,$4a,$66,$64,$b9,$f1,$b1,$2a,$25,$c5,$4e,$b9,$d9,$07,$73,$5d,$44,
$1c,$77,$e8,$42,$7c,$da,$02,$b7,$50,$8d,$45,$49,$5b,$4e,$c1,$b2,$e6,$b8,$5e,$8d,$75,$1a,$8f,$7d,$d2,
$71,$ee,$0e,$c8,$dc,$e8,$b6,$35,$96,$53,$3f,$c2,$41,$fe,$15,$a9,$cf,$a5,$ab,$d5,$73,$5a,$ed,$99,$93,
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$8e,$c5,$dd,$5c,$59,$27,$9d,$16,$f2,$d3,$ff,$84,$47,$cd,$6a,$cd,$1f,$8d,$6b,$54,$71,$95,$49,$a7,$c2,
$bb,$38,$ae,$f7,$e6,$7c,$20,$08,$bc,$d7,$89,$24,$ba,$55,$75,$db,$ae,$31,$f6,$54,$9f,$33,$7c,$9c,$24,
$49,$07,$04,$a3,$44,$0c,$51,$3e,$f2,$b9,$c7,$30,$c6,$f6,$4c,$03,$1c,$91,$3b,$81,$86,$c5,$ee,$43,$a2,
$62,$7e,$f4,$52,$a9,$43,$58,$b2,$69,$65,$a8,$48,$d4,$12,$9a,$f7,$2e,$d3,$b4,$ec,$0d,$1a,$20,$60,$62,
$00,$67,$86,$2b,$47,$de,$f3,$6e,$a6,$6b,$c4,$81,$a4,$32,$68,$77,$8c,$0e,$17,$6d,$3a,$2f,$7c,$12,$a6,
$9d,$d6,$54,$31,$4a,$fc,$a2,$07,$a0,$c1,$f9,$00,$a2,$c7,$ac,$b9,$aa,$69,$58,$70,$19,$31,$03,$d8,$87,
$b8,$d0,$d1,$6b,$ff,$66,$22,$9b,$1d,$5c,$71,$e4,$0b,$b1,$96,$e5,$a5,$a8,$7a,$ea,$56,$00,$1f,$36,$aa,
$98,$b3,$4a,$93,$53,$f8,$87,$5c,$a6,$6f,$cf,$6e,$80,$eb,$eb,$0c,$22,$fc,$51,$10,$40,$d7,$66,$f3,$8a,
$91,$d1,$8e,$b2,$c5,$f0,$2e,$9a,$aa,$ae,$d8,$da,$f4,$9b,$dc,$90,$a7,$c8,$11,$7a,$a4,$ac,$c8,$a6,$02,
$89,$ca,$3c,$b5,$b5,$44,$57,$e1,$39,$1c,$8f,$7d,$31,$05,$4e,$5b,$58,$f5,$0a,$c7,$6e,$c5,$66,$20,$cc,
$a6,$48,$97,$2f,$6d,$c0,$8e,$00,$ce,$59,$d5,$db,$3a,$89,$08,$50,$24,$a9,$b4,$bf,$7f,$b0,$13,$ec,$a9,
$2e,$5c,$1c,$83,$68,$f1,$d8,$c1,$3d,$87,$b3,$77,$e6,$f3,$ca,$18,$06,$0a,$fe,$25,$42,$be,$41,$c4,$83,
$be,$5d,$ca,$1a,$3f,$c1,$0c,$c4,$65,$da,$62,$74,$04,$38,$27,$96,$76,$04,$f4,$09,$a1,$fb,$ae,$b8,$a5,
$e4,$f1,$fe,$54,$41,$d2,$86,$43,$fd,$2d,$6d,$64,$da,$55,$b7,$46,$a4,$f3,$d2,$18,$7e,$fa,$de,$66,$c0,
$bf,$8e,$db,$27,$1e,$34,$d7,$1a,$d4,$3d,$43,$e5,$ba,$ca,$7f,$76,$9e,$2b,$a1,$c2,$72,$a4,$9d,$e8,$19,
$10,$e8,$b6,$02,$e9,$67,$1b,$e8,$20,$31,$49,$1d,$74,$fb,$17,$05,$1b,$db,$41,$1a,$86,$c5,$89,$7c,$13,
$3a,$47,$48,$55,$97,$ee,$a6,$9d,$95,$a1,$26,$8b,$fe,$49,$14,$09,$e6,$e3,$f9,$d2,$aa,$2d,$fb,$55,$70,
$09,$7e,$e1,$d4,$2c,$07,$ee,$5a,$2d,$67,$3d,$d9,$ac,$ad,$6b,$02,$69,$39,$40,$56,$c8,$0d,$c2,$b5,$b6,
$c2,$39,$b3,$55,$a0,$bf,$aa,$a4,$d8,$b1,$2b,$86,$f4,$27,$b5,$bf,$c1,$59,$f1,$2d,$27,$32,$fb,$9d,$53,
$6b,$06,$2e,$90,$4d,$70,$a7,$8a,$e8,$8f,$14,$2d,$27,$57,$ad,$ef,$78,$3b,$74,$a7,$6c,$7e,$2a,$d8,$45,
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$5f,$23,$22,$e2,$2e,$a4,$8d,$7d,$e9,$50,$45,$46,$fe,$52,$3c,$f5,$9f,$15,$d5,$7e,$0c,$6a,$27,$c0,$09,
$cb,$a9,$2f,$dd,$34,$51,$5a,$d0,$21,$96,$48,$65,$1f,$ec,$89,$51,$ef,$24,$cd,$15,$f0,$76,$8d,$8e,$8b,
$fc,$8b,$fd,$b1,$cc,$86,$75,$4b,$d0,$32,$3d,$e0,$69,$22,$b8,$aa,$bf,$3f,$e7,$58,$20,$36,$0a,$54,$29,
$d9,$f2,$5b,$d5,$fc,$8e,$8e,$ac,$20,$1f,$37,$56,$27,$aa,$36,$b8,$f2,$7d,$e0,$ca,$84,$dc,$43,$36,$e0,
$d4,$47,$df,$a2,$11,$0d,$c0,$89,$06,$a1,$4e,$9d,$85,$94,$9a,$f3,$59,$8f,$5e,$65,$5e,$16,$3c,$ab,$15,
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$ab,$77,$90,$7c,$6a,$64,$e0,$b3,$d6,$70,$ac,$71,$23,$38,$41,$a3,$43,$34,$23,$98,$05,$58,$59,$b9,$7d,
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$86,$25,$0e,$dc,$71,$7f,$f1,$c7,$ed,$d3,$c8,$10,$3f,$a0,$01,$75,$3f,$de,$36,$b8,$34,$e1,$4d,$3c,$c3,
$b3,$4f,$47,$23,$24,$5a,$9e,$db,$3a,$c2,$25,$e3,$ed,$7f,$4b,$b3,$ed,$18,$87,$d9,$c4,$ef,$8f,$cd,$34,
$f8,$b4,$a6,$f9,$72,$c2,$f0,$6b,$a8,$d4,$92,$1d,$51,$ff,$b0,$28,$31,$a6,$31,$32,$60,$ed,$a6,$00,$42,
$16,$e1,$79,$46,$df,$af,$e1,$c5,$2c,$ba,$83,$41,$73,$14,$2b,$53,$fd,$25,$78,$9b,$0b,$07,$45,$0d,$41,
$77,$f4,$b3,$04,$96,$1f,$58,$22,$e8,$b4,$5d,$b0,$97,$5f,$0b,$df,$4e,$5c,$8f,$91,$d5,$44,$c9,$89,$81,
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$51,$8e,$85,$c4,$71,$0c,$08,$5e,$8f,$77,$8c,$24,$d2,$ce,$70,$b6,$9e,$4c,$61,$b7,$15,$d8,$97,$bb,$30,
$63,$fa,$b3,$12,$2d,$0b,$f7,$e1,$48,$8b,$57,$ee,$58,$22,$a5,$5d,$8d,$0a,$fa,$46,$cd,$ee,$c3,$91,$d6,
$88,$1a,$0d,$c4,$d3,$ea,$65,$23,$ba,$5b,$98,$03,$9c,$a9,$63,$a1,$e0,$f7,$2c,$b6,$25,$9a,$13,$d6,$e3,
$e5,$2e,$c8,$b7,$e4,$18,$b7,$d1,$e4,$fc,$f1,$cb,$e3,$b9,$49,$4f,$a8,$dc,$54,$e1,$c4,$96,$db,$32,$14,
$33,$9b,$b3,$b0,$4c,$e2,$73,$77,$ea,$aa,$cf,$a1,$21,$05,$1d,$16,$dd,$79,$85,$26,$74,$ba,$8a,$aa,$57,
$03,$a9,$2f,$2a,$86,$c8,$f5,$7e,$20,$c7,$25,$17,$c5,$a9,$99,$df,$3d,$a5,$9d,$3d,$a4,$cb,$ed,$c4,$7b,
$57,$98,$f4,$ab,$e7,$5b,$7c,$e9,$81,$b0,$d4,$fc,$5b,$51,$a7,$e5,$a1,$69,$67,$e3,$ec,$50,$b0,$37,$7a,
$d8,$81,$53,$f9,$19,$7e,$a0,$b9,$6e,$85,$86,$c8,$bc,$30,$f8,$82,$36,$e7,$6b,$b7,$7e,$28,$82,$2c,$6a,
$00,$30,$94,$fb,$70,$03,$ad,$a1,$b6,$db,$b5,$4c,$2f,$c7,$9f,$61,$1b,$f4,$30,$f8,$84,$82,$a4,$48,$51,
$60,$43,$b7,$2e,$a3,$25,$7f,$ff,$0c,$7b,$9d,$8e,$6b,$ce,$01,$6d,$58,$76,$f7,$fd,$61,$33,$f8,$9a,$cc,
$5f,$bf,$2e,$81,$d6,$a6,$56,$96,$78,$f4,$23,$c0,$5f,$0f,$af,$df,$23,$2a,$a7,$86,$f5,$2f,$3d,$0a,$43,
$5f,$23,$18,$6f,$9f,$f8,$91,$79,$4b,$ce,$3f,$9d,$92,$8e,$1e,$81,$02,$00,$c7,$f4,$6c,$5b,$7a,$c5,$61,
$82,$be,$cb,$db,$d7,$43,$fa,$b4,$e7,$00,$e2,$f4,$55,$ae,$f8,$a0,$32,$e9,$29,$51,$ad,$98,$bb,$99,$1c,
$de,$1a,$09,$b3,$cd,$4f,$70,$2e,$93,$a3,$65,$71,$99,$cd,$1f,$00,$86,$dc,$8b,$1c,$cc,$4f,$2a,$80,$91,
$ea,$1d,$f0,$fd,$88,$9f,$df,$05,$d2,$c0,$fd,$18,$e6,$1e,$78,$2d,$f0,$72,$bb,$8b,$e5,$11,$a7,$e8,$41,
$2b,$53,$3a,$9a,$d6,$3e,$28,$d3,$de,$c7,$60,$ec,$c1,$ee,$b7,$56,$f9,$36,$c3,$63,$be,$71,$35,$01,$ec,
$05,$a1,$33,$45,$97,$af,$64,$96,$e0,$0e,$36,$48,$b6,$bf,$94,$0b,$ed,$fa,$10,$e6,$93,$fb,$89,$55,$a3,
$44,$86,$9f,$d9,$f1,$05,$a4,$57,$eb,$a9,$20,$58,$1f,$48,$b4,$7a,$d4,$18,$df,$52,$68,$17,$71,$fc,$b6,
$34,$af,$ed,$a9,$53,$0e,$cc,$68,$bb,$83,$7c,$d0,$33,$0a,$39,$43,$60,$c1,$d8,$3d,$14,$c2,$6e,$f2,$ea,
$02,$56,$84,$ac,$9d,$6a,$48,$c8,$1b,$0d,$75,$9d,$4f,$ca,$8c,$60,$af,$f6,$a8,$87,$ed,$39,$3f,$8f,$f9,
$bb,$07,$05,$fe,$ce,$f8,$7e,$65,$b0,$37,$39,$3f,$b8,$0f,$75,$d0,$78,$a3,$cc,$af,$86,$d0,$3a,$30,$e3,
$60,$7b,$b1,$ea,$6b,$3c,$48,$54,$12,$70,$dc,$b3,$ae,$84,$18,$a6,$28,$28,$23,$02,$c6,$86,$19,$f3,$25,
$9a,$19,$10,$74,$21,$05,$8f,$a6,$3f,$f2,$79,$0c,$af,$19,$0c,$ac,$de,$24,$4b,$f8,$43,$4c,$ea,$9f,$2f,
$9c,$ed,$ca,$29,$b2,$3c,$93,$c7,$5c,$33,$b6,$32,$21,$87,$c3,$76,$ad,$3a,$e1,$9b,$17,$29,$64,$1d,$83,
$83,$22,$ae,$3a,$f9,$80,$84,$d0,$70,$3f,$c9,$b3,$46,$d2,$8f,$a8,$9c,$4d,$2b,$ee,$8f,$26,$ba,$f1,$6a,
$a5,$39,$75,$2f,$84,$5e,$c6,$3b,$ca,$48,$c5,$78,$47,$3e,$ad,$af,$df,$94,$37,$fb,$6b,$ee,$d1,$5c,$18,
$53,$cc,$78,$01,$08,$51,$66,$d8,$a0,$3b,$a0,$13,$4e,$87,$14,$2f,$af,$19,$4e,$fe,$30,$47,$44,$f4,$8b,
$1f,$94,$72,$47,$98,$35,$db,$c8,$4e,$37,$57,$51,$2e,$b7,$43,$54,$6c,$f3,$72,$b2,$e0,$a6,$72,$4e,$7c
{$ifndef MPC_FPrec30K}
,$9f,$6f,$a7,$6c,$c3,$6c,$ba,$d4,$4a,$c2,$59,$a1,$3b,$e4,$b8,$4d,$0b,$dc,$ad,$36,$57,$66,$1d,$e3,$6d,
$b9,$c1,$6b,$5c,$79,$bb,$6f,$43,$ce,$c9,$31,$c9,$35,$31,$41,$2c,$64,$d4,$15,$3a,$86,$f3,$12,$19,$11,
$0e,$e4,$b7,$64,$6e,$a7,$1f,$40,$7a,$73,$88,$54,$26,$de,$a4,$81,$8e,$ca,$d4,$93,$24,$37,$15,$79,$d8,
$57,$af,$30,$96,$b7,$39,$57,$e2,$4b,$d0,$a8,$92,$6f,$63,$d5,$01,$67,$6a,$c4,$63,$8b,$18,$91,$32,$1b,
$01,$b8,$12,$4a,$56,$af,$bc,$59,$1d,$7c,$a3,$04,$6b,$99,$36,$f8,$78,$61,$3e,$d1,$98,$8e,$d5,$f1,$2b,
$d8,$44,$00,$32,$80,$53,$a0,$9f,$f2,$06,$7d,$4f,$bd,$bb,$c7,$43,$33,$d9,$1b,$13,$22,$ac,$40,$6e,$f8,
$b4,$bd,$c4,$1d,$bd,$08,$8b,$f2,$9b,$b4,$69,$d2,$23,$e4,$b8,$0c,$40,$c1,$17,$4f,$7e,$ae,$d2,$9f,$c4,
$b6,$68,$79,$f9,$5f,$aa,$f7,$42,$70,$1b,$ee,$1c,$86,$47,$d8,$8a,$79,$e7,$58,$31,$e5,$41,$ea,$66,$f5,
$c4,$ab,$1a,$2c,$67,$69,$95,$02,$c3,$66,$a0,$ff,$ef,$29,$88,$c3,$2f,$65,$23,$cc,$49,$cb,$25,$09,$19,
$2e,$f7,$6c,$be,$8b,$3d,$b8,$22,$c0,$dd,$b5,$76,$9f,$fd,$a6,$9b,$c6,$f9,$76,$a0,$74,$2c,$b9,$82,$2a,
$32,$1e,$15,$7f,$d4,$d8,$06,$a3,$9e,$3b,$2a,$1f,$48,$96,$1e,$49,$f5,$fe,$a5,$ba,$f8,$ca,$df,$b7,$5a,
$d5,$f9,$53,$b1,$25,$a9,$b7,$7f,$ae,$48,$9a,$5b,$43,$08,$4d,$f4,$44,$c8,$0e,$eb,$77,$64,$57,$25,$61,
$0e,$d3,$e0,$e7,$1a,$ef,$de,$4b,$37,$74,$00,$4d,$b1,$f3,$d4,$fb,$58,$63,$24,$00,$17,$ff,$11,$fd,$8f,
$77,$55,$ac,$30,$da,$6a,$48,$8e,$cf,$1b,$7f,$61,$85,$e3,$5d,$ff,$88,$65,$1f,$bb,$15,$bf,$85,$75,$cf,
$71,$5b,$71,$c5,$45,$2d,$cc,$b1,$32,$fd,$e4,$09,$11,$75,$da,$81,$3a,$81,$4c,$48,$95,$95,$0b,$70,$d1,
$ae,$8b,$11,$f0,$2f,$d9,$22,$93,$60,$03,$63,$29,$3e,$b3,$5f,$0c,$17,$c6,$16,$46,$2a,$04,$24,$be,$65,
$16,$f7,$10,$4e,$08,$48,$f7,$52,$33,$34,$d4,$25,$78,$2e,$ab,$58,$e0,$de,$20,$af,$04,$f1,$cb,$f5,$c2,
$00,$88,$cf,$9e,$92,$55,$29,$f4,$8a,$92,$4b,$1e,$af,$0d,$6f,$71,$8c,$e0,$ac,$4f,$ae,$f4,$61,$a4,$7c,
$70,$87,$54,$b4,$4c,$9b,$99,$47,$a3,$c0,$32,$22,$c4,$a1,$37,$bd,$74,$38,$5b,$a9,$7c,$80,$d7,$81,$a6,
$4e,$46,$c3,$95,$4b,$f1,$93,$92,$02,$8d,$92,$48,$b8,$30,$f0,$e6,$23,$a8,$ae,$cb,$5f,$14,$50,$24,$af,
$16,$b3,$fe,$20,$5a,$e2,$ea,$61,$8d,$f0,$02,$94,$ef,$05,$6e,$81,$ff,$60,$2c,$17,$fc,$9d,$b8,$99,$b7,
$21,$a7,$d0,$92,$49,$24,$af,$fb,$20,$96,$10,$07,$2a,$eb,$52,$e9,$d7,$7c,$43,$16,$30,$0e,$cc,$76,$de,
$33,$87,$1d,$91,$ae,$08,$9e,$3d,$c9,$24,$8d,$94,$13,$03,$1e,$bf,$3c,$f5,$59,$28,$e4,$3c,$0f,$46,$c7,
$0e,$7c,$13,$5f,$a9,$84,$57,$79,$11,$7a,$88,$53,$55,$fd,$35,$22,$f3,$74,$e9,$33,$21,$06,$4c,$c1,$ad,
$8d,$79,$50,$4e,$fe,$d0,$c7,$0f,$a5,$5b,$ea,$c4,$ad,$f7,$e2,$7f,$0d,$5a,$62,$63,$47,$7b,$3d,$00,$59,
$68,$00,$f8,$ac,$78,$a4,$aa,$db,$1e,$1c,$54,$46,$87,$db,$9a,$c8,$13,$a6,$af,$b5,$16,$64,$1a,$bd,$c8,
$c6,$b7,$8a,$3b,$2d,$3f,$a5,$43,$8c,$fd,$f0,$4e,$8c,$fc,$48,$a5,$a0,$0a,$f1,$60,$b2,$60,$ca,$70,$5c,
$e5,$23,$fd,$00,$18,$f6,$c7,$5f,$54,$9a,$7c,$f7,$51,$c2,$6c,$60,$01,$23,$3d,$87,$94,$44,$5f,$17,$69,
$7b,$1a,$3b,$08,$56,$bb,$28,$24,$54,$24,$27,$d1,$8f,$27,$0d,$0b,$4a,$2f,$55,$a0,$3d,$eb,$a4,$a9,$66,
$b2,$06,$d3,$cf,$0c,$ec,$cb,$35,$63,$bd,$c9,$bd,$79,$8a,$a1,$16,$5a,$28,$05,$01,$b3,$bf,$ed,$a8,$f5,
$94,$fd,$6e,$48,$5e,$66,$2e,$6f,$f3,$2b,$9d,$dd,$87,$38,$1b,$44,$19,$d9,$99,$84,$69,$7c,$26,$59,$6a,
$94,$3f,$89,$e6,$22,$5a,$4e,$a5,$27,$a2,$c5,$23,$3c,$16,$98,$f7,$93,$43,$d4,$09,$41,$ad,$5e,$b3,$dd,
$e4,$ba,$34,$78,$89,$a5,$55,$71,$b3,$de,$b3,$f0,$fc,$40,$27,$1f,$e3,$b8,$17,$ee,$e8,$27,$4d,$07,$4a,
$1b,$b0,$41,$5e,$f1,$d9,$f2,$1e,$98,$e0,$f6,$d9,$bc,$94,$d4,$ab,$71,$87,$84,$76,$d6,$70,$62,$f0,$46,
$f6,$84,$bd,$b8,$38,$b1,$73,$80,$4b,$03,$0e,$4f,$4f,$eb,$08,$fe,$a9,$f8,$51,$83,$65,$51,$36,$0b,$e4,
$af,$e7,$67,$ba,$20,$f9,$57,$9d,$dd,$c0,$38,$fc,$36,$69,$b9,$df,$94,$31,$e4,$50,$0c,$eb,$48,$12,$08,
$a3,$27,$37,$27,$42,$d9,$09,$0a,$c5,$7f,$88,$60,$38,$ab,$28,$9a,$72,$fd,$69,$a0,$38,$97,$ac,$43,$06,
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