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Author Topic: Basiccard 7.5 EC-p curve definition file  (Read 452 times)
juror_chaos (OP)
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May 17, 2013, 12:40:12 AM
 #1

Greetings, Bitcoin Community!

I'm working on a smartcard interface/middleware package to the standard bitcoin wallet. I've got some 7.5 BasicCards, and they can do ECDSA. However, the default curve sets are not compatible with bitcoin. They do however let you pass in a "curve definition file" if you want to use a custom curve, like oh say, secp256k1, perhaps? Smiley

Zeitcontrol is not exactly responsive when it comes to e-mail inquiries, so I come to you, the bitcoin community for help and assistance. I know enough about crypto algorithms to leave the implementation to someone who's trained in the crypto arts, but in this case, it seems if I want secp256k1 on this card, I need to create that file myself.

Here's what I'm asking specifically. Can someone with more crypto training look at this definition file and tell me what needs to change to get the card to use the secp256k1 curve? I really start getting lost past the G definition. Twisted curve? What is that? What is this point table? I feel lost.

Code:
Rem  Curve "brainpoolP384r1" as a data file
File "brainpoolP384r1" Len=0 ' make sure the file is allocated in a single block

  Rem  *** Curve data ***

  &H30 As Integer ' pLen

  Rem  p
  &H8C,&HB9,&H1E,&H82,&HA3,&H38,&H6D,&H28,&H0F,&H5D,&H6F,&H7E,&H50,&HE6,&H41,&HDF
  &H15,&H2F,&H71,&H09,&HED,&H54,&H56,&HB4,&H12,&HB1,&HDA,&H19,&H7F,&HB7,&H11,&H23
  &HAC,&HD3,&HA7,&H29,&H90,&H1D,&H1A,&H71,&H87,&H47,&H00,&H13,&H31,&H07,&HEC,&H53

  Rem  A
  &H7B,&HC3,&H82,&HC6,&H3D,&H8C,&H15,&H0C,&H3C,&H72,&H08,&H0A,&HCE,&H05,&HAF,&HA0
  &HC2,&HBE,&HA2,&H8E,&H4F,&HB2,&H27,&H87,&H13,&H91,&H65,&HEF,&HBA,&H91,&HF9,&H0F
  &H8A,&HA5,&H81,&H4A,&H50,&H3A,&HD4,&HEB,&H04,&HA8,&HC7,&HDD,&H22,&HCE,&H28,&H26

  Rem  B
  &H04,&HA8,&HC7,&HDD,&H22,&HCE,&H28,&H26,&H8B,&H39,&HB5,&H54,&H16,&HF0,&H44,&H7C
  &H2F,&HB7,&H7D,&HE1,&H07,&HDC,&HD2,&HA6,&H2E,&H88,&H0E,&HA5,&H3E,&HEB,&H62,&HD5
  &H7C,&HB4,&H39,&H02,&H95,&HDB,&HC9,&H94,&H3A,&HB7,&H86,&H96,&HFA,&H50,&H4C,&H11

  Rem  q
  &H8C,&HB9,&H1E,&H82,&HA3,&H38,&H6D,&H28,&H0F,&H5D,&H6F,&H7E,&H50,&HE6,&H41,&HDF
  &H15,&H2F,&H71,&H09,&HED,&H54,&H56,&HB3,&H1F,&H16,&H6E,&H6C,&HAC,&H04,&H25,&HA7
  &HCF,&H3A,&HB6,&HAF,&H6B,&H7F,&HC3,&H10,&H3B,&H88,&H32,&H02,&HE9,&H04,&H65,&H65

  Rem  G
  &H1D,&H1C,&H64,&HF0,&H68,&HCF,&H45,&HFF,&HA2,&HA6,&H3A,&H81,&HB7,&HC1,&H3F,&H6B
  &H88,&H47,&HA3,&HE7,&H7E,&HF1,&H4F,&HE3,&HDB,&H7F,&HCA,&HFE,&H0C,&HBD,&H10,&HE8
  &HE8,&H26,&HE0,&H34,&H36,&HD6,&H46,&HAA,&HEF,&H87,&HB2,&HE2,&H47,&HD4,&HAF,&H1E
  &H8A,&HBE,&H1D,&H75,&H20,&HF9,&HC2,&HA4,&H5C,&HB1,&HEB,&H8E,&H95,&HCF,&HD5,&H52
  &H62,&HB7,&H0B,&H29,&HFE,&HEC,&H58,&H64,&HE1,&H9C,&H05,&H4F,&HF9,&H91,&H29,&H28
  &H0E,&H46,&H46,&H21,&H77,&H91,&H81,&H11,&H42,&H82,&H03,&H41,&H26,&H3C,&H53,&H15

  Rem  *** Twisted curve data ***

  Rem  Z
  &H41,&HDF,&HE8,&HDD,&H39,&H93,&H31,&HF7,&H16,&H6A,&H66,&H07,&H67,&H34,&HA8,&H9C
  &HD0,&HD2,&HBC,&HDB,&H7D,&H06,&H8E,&H44,&HE1,&HF3,&H78,&HF4,&H1E,&HCB,&HAE,&H97
  &HD2,&HD6,&H3D,&HBC,&H87,&HBC,&HCD,&HDC,&HCC,&H5D,&HA3,&H9E,&H85,&H89,&H29,&H1C

  Rem  *** Montgomery data ***

  Rem  R mod p
  &H9D,&HAB,&HD4,&HA0,&H75,&H1E,&H3F,&H1B,&H58,&H38,&HCE,&H25,&HCA,&HAB,&H1B,&H17
  &H11,&H34,&H72,&H1C,&H6F,&HBA,&H57,&H45,&H0C,&H7C,&HC9,&HF9,&H8C,&H50,&H6E,&HB7
  &H35,&H59,&H7C,&H0C,&H3E,&HBE,&H2F,&H67,&HB3,&HA3,&HDD,&H6A,&HE9,&H4D,&H39,&H3C

  Rem  R^2 mod p
  &H14,&HE5,&HFD,&HA1,&HB5,&H04,&HE3,&HA3,&H87,&H14,&H22,&H4A,&HCF,&H4E,&H06,&HD4
  &H5B,&H21,&H08,&H28,&HB8,&H66,&H61,&H04,&H0D,&HF1,&H40,&H4D,&H11,&H07,&H41,&HEB
  &H5B,&H49,&HED,&H7F,&H82,&H0B,&H33,&H0D,&H12,&HBE,&H70,&H29,&HAC,&H0E,&H35,&H45

  Rem  1/p mod R
  &H25,&HC8,&H9E,&HEA,&H6C,&HA9,&H6E,&H9A,&H94,&H75,&HF7,&HED,&H52,&H1E,&H4B,&H83
  &H16,&HFC,&H80,&H4D,&H87,&HE5,&HBA,&H1C,&H92,&HC2,&HE5,&H19,&H42,&H6C,&HD5,&HF5
  &HDF,&H86,&H6F,&H4C,&H2F,&HD0,&HAD,&H0F,&HEE,&HCF,&HC1,&HBB,&HE9,&H38,&HDC,&HA3
  &H66,&H69,&HCF,&H5B

  Rem  *** Accelerator data ***

  &H20  As Integer ' nPoints
  &H186 As Integer ' StartBit
  &H146 As Integer ' EndBit
  &H41  As Integer ' BitGap

  Rem  PointTable
  &H8E,&HF2,&H16,&H33,&H33,&HC7,&H8E,&H50,&HB7,&HFA,&HA4,&HDA,&H84,&H58,&H50,&H43
  &H95,&H90,&H9E,&H22,&H5D,&HFD,&HCE,&H1F,&H83,&H5D,&HB1,&HF3,&H9A,&HF0,&H2C,&H38
  &HFF,&H3A,&H57,&HCB,&H4D,&H80,&H05,&H5C,&H81,&H6F,&H94,&HEA,&H0B,&HDE,&HF0,&H1D
  &HFE,&H2B,&H47,&HAD,&H4A,&H31,&H40,&HDB,&HA3,&HE2,&H2D,&H00,&H9C,&HEB,&H77,&H21
  &HD9,&HB0,&HDA,&H67,&H46,&H18,&H2C,&H9E,&H54,&HE5,&HAE,&H30,&H08,&HD1,&H21,&HAB
  &H57,&H7B,&HD3,&H32,&H41,&H3D,&H40,&HBA,&H84,&HC6,&H9F,&HD1,&H17,&HCB,&HDD,&H63
  &H0C,&HD5,&HE1,&HAF,&HAA,&H1D,&H95,&H05,&H3B,&H22,&HF0,&H93,&H3E,&H99,&HC5,&H02
  &H39,&HFF,&HC1,&H69,&H48,&H92,&H49,&HB6,&H76,&HB2,&H5C,&H11,&HB9,&H51,&H21,&H47
  &H01,&HEF,&HA7,&H2C,&HF3,&H2E,&HC1,&HBA,&H4D,&HCB,&H34,&H7E,&HBE,&HFB,&HD1,&H1F
  &H50,&HC1,&HAF,&HA8,&H54,&HAC,&H13,&H30,&H05,&H7E,&HC2,&H61,&HDB,&H2E,&H30,&H22
  &HA4,&HBE,&HE6,&H1D,&H4C,&H66,&H11,&H30,&H0C,&HC1,&H90,&HBF,&HC0,&HEB,&H86,&H89
  &HED,&H01,&HB0,&HFC,&H3A,&H91,&HE5,&H0A,&HCE,&H84,&HB9,&H03,&H1B,&H61,&HC8,&H5C
  &HAA,&HF9,&H5E,&HB8,&H9B,&H1A,&H3B,&H10,&H97,&H49,&H53,&H7E,&HEA,&HE2,&H6A,&HC7
  &H9D,&HA3,&HF9,&H48,&H99,&HAA,&H1A,&HDA,&H0E,&HA7,&HEA,&H30,&H89,&H65,&H2F,&HBE
  &HC0,&HED,&H18,&HBD,&HA1,&H7D,&HEC,&HDB,&HF3,&HC3,&H35,&H17,&H7E,&HBB,&HE5,&H51
  &H73,&HF7,&HE8,&H01,&H60,&H89,&HDF,&HB2,&H40,&H2C,&HFE,&HE9,&H58,&H16,&HFD,&H4B
  &HDE,&HFA,&HDE,&H05,&HAC,&H1F,&H85,&H31,&H17,&H6D,&H92,&H60,&HB1,&HFE,&HE6,&HEC
  &H6A,&H05,&HE8,&H33,&H6F,&HC5,&H98,&HFD,&HD3,&H1A,&H50,&H11,&HA1,&H86,&HBA,&H77
  &H2F,&H4D,&HA0,&HA4,&HFD,&H8F,&HCD,&H97,&H8D,&H8D,&HE5,&H1C,&H5E,&H86,&H70,&H3A
  &H8D,&HED,&H29,&HC5,&HFB,&HBB,&H86,&H09,&H0D,&HCA,&H52,&HB7,&H9A,&H8F,&H29,&HA2
  &H3D,&HA1,&H8B,&HD6,&HCF,&HC7,&H21,&H12,&HDA,&HDE,&H4E,&H12,&H8E,&H02,&H47,&H28
  &H32,&H1A,&H4E,&HBE,&H8C,&H5F,&HEF,&H08,&HD8,&HE9,&H36,&H5C,&H95,&HB6,&H9F,&H12
  &H4D,&HA9,&H19,&H8C,&H64,&HA8,&H58,&H96,&HEE,&H75,&HD0,&H2D,&H35,&H1D,&H34,&H3E
  &H2A,&HB4,&HE4,&H11,&H25,&H6B,&H77,&H1E,&HC6,&HA1,&H81,&HB1,&H97,&H9A,&H45,&H37
  &H29,&HC4,&HAD,&H1A,&HCC,&H42,&HB5,&HBF,&HC3,&H3E,&HC7,&HB6,&H3E,&HDC,&HE7,&HDB
  &HF2,&H0B,&HEF,&H19,&HBA,&H18,&HB9,&HE7,&H3C,&H41,&H94,&H2E,&H26,&HE6,&H15,&H63
  &H3F,&H98,&H19,&H5A,&HB4,&H0F,&H5D,&HCD,&H7B,&H74,&HA3,&H6B,&H2F,&H18,&HF4,&H0E
  &HD5,&H02,&H49,&H3A,&HED,&H5C,&H12,&HA6,&H96,&HF5,&HFE,&H7B,&H8D,&H19,&H50,&H2F
  &HBD,&H73,&H6C,&H39,&H46,&HC1,&H2A,&H3A,&HAB,&H16,&H62,&HA8,&HCB,&HB8,&H4D,&H41
  &HD3,&H37,&HDA,&H9D,&H80,&H17,&HDE,&H55,&H3B,&H04,&HE2,&H22,&H67,&H1F,&HD9,&H47
  &H96,&H24,&HC9,&H7B,&H99,&H86,&HEC,&HAD,&H30,&H09,&HED,&H56,&HD4,&H52,&H0E,&H70
  &HDE,&H63,&HC3,&H74,&HCE,&HE5,&HA8,&H06,&HEC,&HBB,&HBB,&H3A,&H6C,&HC3,&H47,&H97
  &HD6,&H4B,&H1A,&H23,&H5A,&H5B,&HC6,&HC2,&HEF,&HC1,&HFC,&HA9,&H3D,&H6E,&H5C,&H17
  &HBD,&H77,&H38,&HAE,&H9E,&H87,&H84,&HF7,&H6B,&H5F,&H0B,&H7E,&HF8,&H8E,&HE3,&H19
  &H97,&H69,&H71,&H71,&HED,&HAC,&HA6,&H5A,&H20,&HA1,&H2B,&H51,&H4C,&H9C,&HE5,&HA0
  &H6D,&HAD,&H0F,&H30,&H9B,&H35,&H04,&H5C,&HFC,&H8C,&HFB,&H14,&H9A,&HB3,&H06,&H37
  &HB0,&HFC,&H74,&HA3,&H04,&HF6,&H9C,&HF6,&H95,&H67,&HA0,&H52,&H8A,&H47,&H7F,&HFE
  &HB1,&HAD,&H09,&H58,&HB0,&HA9,&HC8,&H29,&HE2,&H8F,&H94,&H85,&H0B,&H39,&H8F,&H88
  &H6E,&H30,&HD3,&HA0,&HB0,&H45,&H42,&H19,&HA3,&H13,&HDD,&H44,&H14,&H8C,&H2B,&H1D
  &H1A,&H2B,&H67,&H46,&HEA,&HB4,&HAA,&H03,&HF9,&H42,&H68,&H09,&H90,&HDA,&H45,&H22
  &H7C,&H01,&HC8,&H75,&H68,&H00,&HF1,&H0E,&H84,&H30,&H51,&HEE,&HF0,&HC4,&HE0,&HED
  &H95,&HE0,&HA0,&HFB,&H69,&H06,&HAE,&H76,&H10,&H3F,&HD0,&H7E,&H42,&HBE,&H4A,&H0C
  &H41,&H9E,&H43,&H51,&H3A,&H52,&H7D,&H9F,&H1E,&HDE,&HEA,&H61,&H1D,&H9B,&H2B,&HD0
  &HF8,&H4A,&H6A,&H97,&HD7,&HFF,&H0E,&HED,&HEB,&H6D,&HC5,&H81,&H23,&H7B,&H8F,&H20
  &H7C,&HA2,&H5B,&H3A,&H47,&H6E,&HDB,&H22,&HCF,&H12,&H3E,&H11,&HF8,&H5D,&HF3,&H10
  &HC7,&H12,&H9E,&HA0,&HA6,&HD9,&H73,&H20,&H11,&HA4,&H87,&H16,&H49,&H9E,&HB2,&H83
  &HA7,&H86,&H64,&H99,&HCB,&HB5,&H14,&H90,&H0B,&HB4,&H6D,&HCF,&H9C,&H0F,&HF2,&H8C
  &HE4,&H5F,&H07,&H58,&H7B,&HAF,&HAA,&HED,&H8B,&HEB,&H59,&H78,&H44,&HE2,&H1E,&H43
  &HF8,&H60,&HC3,&HF7,&H84,&H0E,&H72,&H67,&H60,&HF4,&H93,&HE3,&H9D,&H1C,&H4A,&H22
  &HDD,&H64,&H66,&H42,&H12,&H1C,&H50,&HE6,&HC8,&H84,&H50,&HAD,&H4E,&H97,&H7C,&H17
  &H74,&H13,&H67,&H3D,&H29,&HFA,&H59,&H66,&H9D,&H33,&HE1,&H1C,&HAF,&H24,&H32,&H3E
  &HC1,&H51,&HCD,&H03,&HEB,&HF6,&HB1,&HA7,&H07,&H73,&HFF,&H59,&HB3,&HF9,&H8A,&HA6
  &HA9,&H16,&HD6,&H8E,&H88,&HC3,&H43,&H40,&HBD,&H71,&H5B,&H83,&HDD,&H3B,&H36,&H11
  &H46,&HAC,&H10,&H1C,&HDF,&HEE,&HAE,&H1B,&HAF,&HFC,&H84,&HAF,&H7E,&HA7,&HF4,&H0C
  &H28,&H2C,&HC2,&HF4,&HC8,&HDC,&H47,&H52,&HC3,&H36,&H84,&H86,&H37,&HD9,&H28,&H00
  &H61,&HB7,&H56,&H9F,&HE6,&H9E,&H71,&H92,&HED,&HCF,&H07,&HFE,&H31,&HEB,&HA8,&H96
  &HFE,&HBB,&HD4,&HED,&H6B,&H2A,&HEC,&HD4,&H25,&H6F,&H7D,&H2A,&H4D,&H70,&H1D,&H07
  &H03,&H4D,&H3E,&H74,&H5A,&H39,&H06,&H6A,&HB0,&HD1,&HF1,&H82,&H00,&HDF,&HFD,&HAA
  &H8A,&H08,&HEE,&HCC,&H5A,&H73,&H8D,&H26,&H15,&H2E,&H08,&H33,&HAA,&H13,&H30,&H1B
  &H61,&HB1,&H39,&H16,&H45,&H0B,&H8F,&HC9,&H13,&H23,&H85,&HCA,&H4B,&H60,&HB6,&H06
  &H55,&H34,&H11,&HFE,&HC1,&H56,&H02,&HDC,&HFD,&H26,&H98,&H85,&H45,&H67,&H26,&HA8
  &HF3,&HA4,&HBF,&HF8,&H8E,&H30,&HC2,&H4B,&HC5,&HDA,&HE1,&H62,&H59,&H54,&H73,&H7A
  &H4D,&H3E,&HB9,&HF2,&H21,&H51,&H35,&H29,&H53,&H55,&H72,&HE1,&H6B,&H90,&HA1,&H5F
  &H8C,&H16,&H05,&H1C,&H50,&H82,&HF0,&HD4,&HD7,&H77,&H71,&H4E,&HBF,&H07,&H83,&H7B
  &H32,&H18,&H33,&HCB,&H71,&H55,&HD7,&H87,&HF6,&H20,&HA3,&H63,&H47,&H5D,&HA7,&HA5
  &H82,&HDF,&HAB,&HB6,&H0B,&HAA,&H8B,&HD1,&H5A,&HF4,&HE4,&HB5,&H50,&H94,&HEF,&H6A
  &H29,&H20,&H4A,&HF7,&H69,&H67,&H93,&H41,&H7E,&H13,&HC7,&HDE,&H5E,&HE4,&HF9,&H58
  &H6C,&H11,&H96,&H34,&HEC,&H65,&H96,&H71,&H79,&H3A,&H49,&HF9,&H0E,&HE5,&H13,&H7F
  &HEC,&H5F,&H58,&H78,&HD9,&HC6,&HA9,&HE1,&H8E,&HFA,&HA1,&H23,&H9A,&HCA,&H9B,&H2F
  &H25,&H94,&H64,&HE4,&H9F,&HF4,&HA2,&HCB,&HF0,&H4C,&HE4,&H2A,&HCB,&H72,&HEA,&H8B
  &H0F,&H0F,&H70,&H0D,&H55,&H89,&H04,&HA9,&H04,&HE0,&HFA,&H9A,&H4C,&HAB,&H4C,&H4D
  &HE0,&H06,&HAF,&H73,&H9B,&H97,&H0F,&H60,&H4F,&HB5,&HC2,&H01,&HDA,&HBD,&H0B,&H75
  &HBE,&HB9,&H3D,&H72,&HEC,&H8C,&H2E,&H93,&H15,&HFC,&HAF,&H55,&H81,&H9B,&H49,&HDE
  &H32,&H99,&HE1,&H8E,&H9C,&H69,&H98,&H43,&HC0,&HC0,&HE0,&H5C,&H2E,&H4F,&H6F,&HCD
  &H28,&H27,&H83,&H01,&H9E,&H84,&HCB,&HA4,&HB7,&HEE,&H9A,&H0B,&H2E,&H84,&H7D,&H06
  &HFF,&H2D,&HC4,&H0D,&H41,&H6E,&HE1,&H41,&HCD,&H0B,&H09,&H95,&H07,&H9B,&H66,&HBE
  &H35,&H4E,&H5D,&H7C,&H21,&HF6,&H56,&H06,&H76,&H89,&H53,&HB7,&H14,&HEB,&H4A,&H62
  &H0A,&H98,&HC8,&H7B,&H04,&H5D,&HAF,&H1D,&H12,&HD5,&H55,&H5F,&H27,&H13,&H30,&H3C
  &HD1,&H11,&HBA,&H12,&HF2,&HFE,&H27,&H8E,&H16,&H4D,&HEE,&H8C,&HCB,&HD6,&H19,&H10
  &H21,&H7B,&H94,&HFA,&H5A,&H4B,&H17,&H1F,&H90,&H7A,&H69,&HFD,&H8C,&H2B,&H1A,&H32
  &HDA,&H97,&H08,&H60,&H99,&HD1,&HE0,&HF2,&H0F,&H98,&H4B,&H67,&HBA,&H64,&H11,&H1A
  &H99,&HAA,&HBF,&HB2,&H73,&H53,&HA3,&H96,&H3B,&H6B,&HC1,&HBA,&HF1,&H22,&HC4,&H99
  &H4D,&H2F,&H1E,&HFF,&HCE,&H9E,&HAF,&H39,&H22,&HCD,&HBE,&H2E,&H43,&H6E,&H2C,&H0F
  &H7A,&HAA,&H5F,&H02,&H9D,&H2E,&H45,&HB9,&HC8,&H0E,&HD4,&H13,&HAB,&HB4,&HEC,&H2F
  &H30,&HA5,&H55,&H26,&H1A,&H1C,&H3A,&H7A,&HE9,&HBD,&H9B,&H47,&HA4,&H84,&H22,&H93
  &H7B,&HC3,&HE1,&H4C,&H71,&HD7,&H3D,&HB3,&H1B,&H46,&H83,&HD0,&H01,&H75,&HE2,&HEB
  &H10,&H8F,&HC7,&H80,&HEF,&H63,&H92,&HD9,&H4E,&H0D,&H75,&H97,&HC5,&H71,&H79,&H1B
  &H27,&H65,&H29,&H89,&HA9,&H7C,&HB0,&H5C,&H69,&HC4,&H85,&HBA,&H1D,&H32,&H57,&HF4
  &H08,&H78,&HAB,&HF6,&HAD,&H44,&HC3,&HD4,&H35,&HCF,&HD6,&HA7,&H4C,&H42,&H3A,&H0A
  &H59,&H4C,&H97,&HB2,&H3E,&H3B,&H2D,&H3F,&HE4,&H44,&HB3,&H87,&HB4,&HEB,&HB2,&H70
  &H54,&HBB,&H0F,&HAA,&H2A,&H0C,&HEC,&H65,&H95,&HC9,&HEC,&H2B,&H9F,&H75,&HFB,&HEF
  &HC3,&H67,&HF5,&H99,&H51,&H8B,&H0C,&H3B,&HD1,&H1B,&H0D,&H1D,&H32,&HAC,&H1F,&H20
  &H33,&H11,&H78,&H01,&H19,&HFD,&HA7,&H46,&H02,&HB1,&HA0,&H66,&H5D,&HEB,&HD6,&H79
  &H1D,&HCA,&HC0,&H2B,&H3E,&HBD,&H3B,&H14,&H5E,&H26,&HFD,&H02,&HCA,&H9D,&H2C,&H5E
  &H87,&HD2,&H78,&H14,&H22,&H3D,&H6C,&H26,&H49,&H5D,&HC4,&H1B,&HAD,&HF9,&H6C,&H5E
  &H68,&H5B,&H5F,&HF7,&HF7,&H49,&H6B,&H4D,&H41,&H41,&H0F,&HC3,&H3B,&H67,&H0C,&H18
  &HC3,&H5B,&HDF,&H41,&HBD,&H2B,&H46,&HE0,&H79,&H8F,&HEC,&H8A,&H7B,&H4C,&H77,&HD3
  &H3B,&H81,&H02,&HF3,&HB3,&H7C,&HCE,&HC7,&H43,&H4C,&HDA,&H67,&HDC,&H8E,&HBF,&H82
  &H26,&HFF,&H2A,&H6A,&H56,&HBB,&H02,&H1F,&HD0,&HB3,&HE9,&H65,&H12,&H46,&H76,&H28
  &H08,&H5D,&H01,&HCD,&HC9,&H6A,&H09,&H44,&H55,&H38,&HEF,&HAB,&H25,&H6B,&HFB,&H02
  &HED,&H8B,&HCF,&H64,&H2F,&H24,&H6E,&HA7,&H1C,&HE7,&HD0,&HE7,&H1F,&HA7,&H6E,&H15
  &H3E,&H27,&HE6,&HB2,&HCB,&HE0,&H59,&H45,&H19,&H7B,&H35,&HB9,&HD0,&HC0,&H4A,&H0F
  &H96,&H5B,&H91,&HC8,&H4D,&H87,&H74,&HA5,&H2C,&HC9,&H79,&HD4,&H44,&HFE,&H09,&H30
  &H46,&HD1,&H47,&HD5,&H85,&H55,&HDE,&H03,&H3C,&HD8,&H49,&H29,&H84,&HF9,&HF3,&H39
  &H6C,&H85,&HDF,&H29,&H39,&H1B,&HD9,&HA2,&HA0,&HF8,&HF5,&H13,&HE2,&H5C,&H79,&H4E
  &H11,&H6F,&H12,&H72,&H26,&HCE,&HD1,&HBC,&H8C,&HD0,&H62,&H00,&HA0,&H1E,&H2C,&HD0
  &H92,&H5D,&H5D,&HF8,&H76,&H13,&HDC,&H0A,&HD2,&HB9,&HD2,&H40,&H93,&H5F,&H0F,&H82
  &H07,&H73,&HDA,&H54,&H6B,&H0A,&H80,&H60,&H1D,&HBB,&H4F,&HDF,&H08,&H13,&H9C,&H7F
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  &H10,&H46,&HCC,&H20,&H23,&HED,&H40,&H84,&H60,&HC0,&H4F,&H3C,&HED,&H09,&HB5,&H7B
  &H52,&HC5,&HEC,&H3C,&H5C,&H5E,&H7F,&H33,&HDD,&HEB,&H79,&HDE,&H88,&HC2,&H50,&H73
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  &H77,&HD2,&H40,&H61,&H8C,&HFC,&H28,&HE9,&HED,&HB3,&H9A,&H17,&HB2,&H6D,&H09,&H5C
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  &HF7,&H5C,&H9C,&H2F,&HA3,&HC6,&HCD,&HB0,&HAB,&H00,&HB2,&H4A,&HFE,&H97,&H30,&H9B
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  &H1D,&HEC,&H4A,&H64,&H7C,&H99,&H78,&H0C,&HC6,&H91,&H51,&HA6,&H1C,&H7E,&H09,&H89
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  &H73,&H5D,&H94,&HA4,&H74,&H3D,&H43,&HBA,&HCE,&H47,&HBC,&H08,&HCE,&HC5,&H5D,&H85
  &H0F,&H5A,&H53,&HD2,&HDF,&H92,&HD2,&H39,&HB6,&HF8,&H64,&H3E,&HB9,&H27,&H52,&H75
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  &H3A,&HCE,&H75,&H65,&H01,&H8E,&H07,&HE8,&H1F,&HD9,&H68,&H71,&HA1,&H5B,&HC9,&HB0
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  &HFF,&H3F,&H08,&HB1,&HE6,&H61,&H3D,&HCD,&H81,&H6E,&H99,&H23,&H86,&HCA,&H89,&H13
  &H65,&H06,&HEB,&H04,&H06,&HE6,&HB1,&HEE,&HF6,&H02,&H8F,&H16,&HFF,&HD8,&HC0,&HF2
  &H36,&H38,&HF0,&HDB,&HCD,&H6F,&HE9,&H97,&H74,&HC0,&HCB,&HFE,&HE4,&HE2,&HD5,&HFA
  &HF7,&HD8,&H1C,&HB0,&HBB,&H72,&H81,&H48,&H51,&H41,&H4A,&H65,&HC4,&H8E,&HDC,&H79
  &H30,&H88,&HAC,&H3D,&H50,&H81,&HB4,&HA5,&H75,&H47,&H02,&H7E,&H18,&HDC,&HE0,&H77
  &H5B,&H54,&HCF,&HBB,&H0E,&H33,&H02,&H78,&H4B,&H1A,&HC9,&H61,&H71,&H31,&H80,&HDD
  &H9F,&H1D,&H42,&H25,&H28,&H14,&H0E,&HE7,&HBE,&H67,&H11,&H66,&H08,&H30,&HC6,&H76
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  &H01,&H8C,&H51,&H0D,&H26,&H5A,&H27,&HF6,&H45,&H12,&HFA,&HCA,&HE4,&HD9,&HB7,&H29
  &H34,&HE0,&H6A,&HD3,&H4D,&H16,&H4A,&H64,&H52,&HFE,&HE4,&HD2,&H42,&H08,&H45,&H69
  &HC2,&H45,&HCD,&HD5,&H0E,&H83,&H86,&HD5,&HFC,&H0A,&HC5,&H9D,&H03,&H73,&HE4,&HDF
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  &H44,&HF9,&H62,&H7D,&H63,&HE9,&H60,&H34,&HBF,&H17,&HD6,&HBE,&H24,&H08,&H2B,&H77
  &H2B,&H9F,&HCE,&H95,&HAB,&HEC,&HF8,&H7F,&H03,&H66,&HC2,&H2D,&H60,&H7A,&H83,&HA1
  &H5F,&H1E,&H88,&HDA,&H53,&H4B,&HF6,&HAC,&H0B,&HD8,&HF4,&H1B,&H25,&H85,&HEB,&H0A
  &HE2,&HB9,&H8B,&HA2,&HE5,&HA9,&HAA,&HD1,&H4E,&HE4,&HD6,&H6E,&H5C,&H10,&H10,&H7B
  &H20,&H21,&H22,&H54,&H98,&H2B,&H5E,&HCB,&H57,&HB0,&H9B,&H6E,&HB6,&H5B,&HA5,&HC1
  &H7E,&HAA,&HDF,&HB5,&H7E,&H98,&H4F,&H82,&HFD,&HE7,&H17,&H75,&H2C,&HE0,&H21,&HA8
  &H17,&HBC,&H74,&HBB,&HCC,&HFF,&H34,&HBA,&HF0,&HC8,&H69,&H4C,&H4D,&HA9,&H90,&H48
  &H6F,&HDC,&HB1,&HDC,&H1C,&HB9,&HCB,&H57,&HC6,&HC1,&HB3,&HDF,&H25,&H56,&H5E,&H5E
  &HA8,&H2A,&HF8,&HFA,&H4C,&H8E,&H17,&HF3,&HDF,&HBD,&H03,&HA7,&H75,&H88,&H5E,&H87
  &H23,&H69,&H4C,&H36,&H7D,&H39,&H09,&H0D,&H7B,&H57,&H2A,&H27,&HB0,&HBF,&H92,&H03
  &HFC,&H69,&H45,&HE5,&HC4,&HB4,&HEE,&HD4,&H7B,&H78,&H01,&HC6,&H33,&H6E,&H39,&H0F
  &H6E,&H49,&HF1,&HC8,&H05,&H59,&H03,&HDB,&HE5,&HC8,&H37,&H3F,&HDA,&H62,&HE3,&H3D
  &H0B,&H09,&H22,&HA0,&HD3,&H18,&H33,&H25,&H0F,&H30,&H37,&H0E,&H59,&H50,&H52,&H59
  &H24,&H99,&H7C,&H7D,&H0E,&H6C,&HD8,&H52,&H09,&H2F,&H34,&H47,&H15,&H65,&H65,&HDF
  &HB2,&H7E,&H4B,&H51,&HDD,&HA5,&H0F,&H33,&H7A,&HF8,&HBA,&H30,&H55,&H22,&HAD,&H23
  &HE6,&H07,&H3B,&H9A,&H7E,&H18,&HA6,&HDD,&H66,&HDA,&H0E,&HFD,&HA8,&HB6,&H30,&H11
  &HD7,&HDF,&H03,&H3B,&H17,&H60,&H43,&H35,&H22,&H6A,&H4A,&H0C,&H1C,&HE0,&H6B,&HD7
  &H77,&HFB,&H11,&H89,&H17,&H4F,&HD2,&HAB,&H82,&HB1,&HDF,&HCC,&H72,&H77,&H8E,&H77
  &H95,&H69,&HD2,&HB4,&H4F,&H81,&H17,&HEA,&HAC,&HD6,&H4A,&H23,&H5B,&HF8,&HC0,&H1B
  &H7B,&H4E,&HCF,&H4C,&H6D,&H00,&HD6,&H14,&H70,&HFA,&H0F,&H01,&HC8,&H6D,&HD7,&H2E
  &HF9,&HD9,&H1D,&H91,&H3C,&HC9,&H34,&H79,&H29,&H97,&H7C,&HC6,&HCC,&H8D,&HD0,&H0E
  &H94,&H17,&H6A,&HFE,&HD8,&H1C,&H31,&H1D,&HE9,&HAF,&H05,&H97,&H2A,&H5A,&HBA,&H7F
  &HDD,&H41,&HAD,&HDA,&H8B,&H71,&H58,&H0F,&HB1,&HD4,&H92,&HB6,&H99,&H1F,&HB7,&H70
  &HEF,&H3D,&HF3,&HD6,&H86,&H0B,&H59,&HBE,&HED,&HA5,&H3E,&H4A,&H0E,&HE1,&H7C,&HED
  &H9C,&H0A,&H31,&H7C,&HC3,&HF0,&HCF,&HCE,&HE0,&HD6,&H0E,&HBA,&H2D,&HDB,&H46,&H0A
  &HAE,&HDB,&H23,&HEB,&HE0,&H63,&HD1,&H11,&H1E,&HC8,&H64,&HF8,&H81,&H47,&H2D,&HEF
  &HA4,&HF9,&H5C,&H3C,&HCF,&H0E,&H1A,&H83,&H0B,&H1D,&H23,&H38,&H5F,&H57,&HC4,&H5F
  &HFF,&H00,&H65,&H45,&HC7,&H16,&HEA,&H7C,&H5E,&H3C,&HE6,&HD1,&H05,&HA7,&H20,&H21
  &H92,&H32,&H87,&H97,&H1B,&HBA,&H52,&HC4,&H4A,&H33,&HE2,&HAF,&H9B,&HA9,&HDD,&H72
  &H60,&H5A,&HB2,&H48,&HEC,&HF7,&HC8,&H31,&H2F,&H20,&H87,&H0C,&H91,&H81,&H7D,&H7D
  &H25,&H9F,&H39,&H63,&H33,&H75,&H75,&H1F,&HF4,&HE6,&H8E,&H21,&H54,&HA9,&HD8,&H80
  &HEF,&H6B,&H8D,&HB0,&H60,&H2D,&HED,&HFE,&H84,&HE8,&HBD,&H72,&HCC,&H27,&H19,&H19
  &HBE,&H00,&H46,&H55,&H2A,&H53,&H64,&H63,&H01,&HAE,&H5E,&H8B,&H6D,&H7E,&H90,&HFB
  &HA6,&H5D,&H8B,&H04,&HF3,&H7F,&H0D,&HB0,&HAC,&H6B,&H8E,&HA8,&H7C,&H4B,&H63,&H71
  &H94,&HDF,&H1F,&HE8,&HD3,&H97,&HDC,&H15,&H88,&HC0,&HDE,&H74,&H5F,&H73,&H98,&H68
  &H8B,&H31,&H36,&H0D,&HBF,&H18,&H70,&HB9,&HA3,&H53,&H26,&HA6,&HCD,&H5E,&HE8,&HA6
  &HC1,&H74,&H85,&HDE,&HF0,&HF1,&HF5,&HD2,&H63,&H0D,&HF3,&HE9,&H79,&H91,&HA5,&H5B
  &HC0,&HC7,&H51,&H7A,&HA0,&HC7,&H41,&H30,&H2E,&H7A,&H9A,&H9E,&H89,&H17,&HD2,&H16
  &H9D,&H78,&HCA,&H20,&HFC,&H57,&HF8,&H01,&H7C,&HCC,&H56,&H18,&H42,&H7C,&H66,&H12
  &HC7,&H56,&H61,&H65,&HE3,&H81,&H62,&HF1,&HF7,&HFF,&H71,&HDB,&H26,&H14,&HD9,&H17
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