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annotate libtomcrypt/notes/rsa-testvectors/pss-int.txt @ 1900:6110afb6f581
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| author | Matt Johnston <matt@ucc.asn.au> |
|---|---|
| date | Thu, 24 Mar 2022 12:22:07 +0800 |
| parents | 6dba84798cd5 |
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| rev | line source |
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1 # ================================= |
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2 # WORKED-OUT EXAMPLE FOR RSASSA-PSS |
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3 # ================================= |
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4 # |
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5 # This file gives an example of the process of |
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6 # signing a message with RSASSA-PSS as |
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7 # specified in PKCS #1 v2.1. |
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8 # |
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9 # The message is an octet string of length 114, |
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10 # while the size of the modulus in the public |
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11 # key is 1024 bits. The message is signed via a |
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12 # random salt of length 20 octets |
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13 # |
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14 # The underlying hash function in the EMSA-PSS |
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15 # encoding method is SHA-1; the mask generation |
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16 # function is MGF1 with SHA-1 as specified in |
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17 # PKCS #1 v2.1. |
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18 # |
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19 # Integers are represented by strings of octets |
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20 # with the leftmost octet being the most |
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21 # significant octet. For example, |
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22 # |
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23 # 9,202,000 = (0x)8c 69 50. |
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24 # |
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25 # ============================================= |
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26 |
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27 # ------------------------------ |
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28 # Components of the RSA Key Pair |
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29 # ------------------------------ |
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30 |
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31 # RSA modulus n: |
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32 a2 ba 40 ee 07 e3 b2 bd 2f 02 ce 22 7f 36 a1 95 |
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33 02 44 86 e4 9c 19 cb 41 bb bd fb ba 98 b2 2b 0e |
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34 57 7c 2e ea ff a2 0d 88 3a 76 e6 5e 39 4c 69 d4 |
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35 b3 c0 5a 1e 8f ad da 27 ed b2 a4 2b c0 00 fe 88 |
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36 8b 9b 32 c2 2d 15 ad d0 cd 76 b3 e7 93 6e 19 95 |
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37 5b 22 0d d1 7d 4e a9 04 b1 ec 10 2b 2e 4d e7 75 |
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38 12 22 aa 99 15 10 24 c7 cb 41 cc 5e a2 1d 00 ee |
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39 b4 1f 7c 80 08 34 d2 c6 e0 6b ce 3b ce 7e a9 a5 |
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40 |
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41 # RSA public exponent e: |
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42 01 00 01 |
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43 |
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44 # Prime p: |
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45 d1 7f 65 5b f2 7c 8b 16 d3 54 62 c9 05 cc 04 a2 |
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46 6f 37 e2 a6 7f a9 c0 ce 0d ce d4 72 39 4a 0d f7 |
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47 43 fe 7f 92 9e 37 8e fd b3 68 ed df f4 53 cf 00 |
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48 7a f6 d9 48 e0 ad e7 57 37 1f 8a 71 1e 27 8f 6b |
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49 |
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50 # Prime q: |
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51 c6 d9 2b 6f ee 74 14 d1 35 8c e1 54 6f b6 29 87 |
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52 53 0b 90 bd 15 e0 f1 49 63 a5 e2 63 5a db 69 34 |
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53 7e c0 c0 1b 2a b1 76 3f d8 ac 1a 59 2f b2 27 57 |
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54 46 3a 98 24 25 bb 97 a3 a4 37 c5 bf 86 d0 3f 2f |
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55 |
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56 # p's CRT exponent dP: |
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57 9d 0d bf 83 e5 ce 9e 4b 17 54 dc d5 cd 05 bc b7 |
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58 b5 5f 15 08 33 0e a4 9f 14 d4 e8 89 55 0f 82 56 |
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59 cb 5f 80 6d ff 34 b1 7a da 44 20 88 53 57 7d 08 |
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60 e4 26 28 90 ac f7 52 46 1c ea 05 54 76 01 bc 4f |
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61 |
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62 # q's CRT exponent dQ: |
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63 12 91 a5 24 c6 b7 c0 59 e9 0e 46 dc 83 b2 17 1e |
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64 b3 fa 98 81 8f d1 79 b6 c8 bf 6c ec aa 47 63 03 |
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65 ab f2 83 fe 05 76 9c fc 49 57 88 fe 5b 1d df de |
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66 9e 88 4a 3c d5 e9 36 b7 e9 55 eb f9 7e b5 63 b1 |
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67 |
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68 # CRT coefficient qInv: |
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69 a6 3f 1d a3 8b 95 0c 9a d1 c6 7c e0 d6 77 ec 29 |
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70 14 cd 7d 40 06 2d f4 2a 67 eb 19 8a 17 6f 97 42 |
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71 aa c7 c5 fe a1 4f 22 97 66 2b 84 81 2c 4d ef c4 |
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72 9a 80 25 ab 43 82 28 6b e4 c0 37 88 dd 01 d6 9f |
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73 |
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74 # --------------------------------- |
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75 # Step-by-step RSASSA-PSS Signature |
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76 # --------------------------------- |
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77 |
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78 # Message M to be signed: |
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79 85 9e ef 2f d7 8a ca 00 30 8b dc 47 11 93 bf 55 |
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80 bf 9d 78 db 8f 8a 67 2b 48 46 34 f3 c9 c2 6e 64 |
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81 78 ae 10 26 0f e0 dd 8c 08 2e 53 a5 29 3a f2 17 |
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83 12 e7 8c d4 69 4c 9f 46 97 77 e4 51 e7 f8 e9 e0 |
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84 4c d3 73 9c 6b bf ed ae 48 7f b5 56 44 e9 ca 74 |
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85 ff 77 a5 3c b7 29 80 2f 6e d4 a5 ff a8 ba 15 98 |
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86 90 fc |
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87 |
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88 # mHash = Hash(M) |
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89 # salt = random string of octets |
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90 # M' = Padding || mHash || salt |
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91 # H = Hash(M') |
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92 # DB = Padding || salt |
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93 # dbMask = MGF(H, length(DB)) |
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94 # maskedDB = DB xor dbMask (leftmost bit set to |
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95 # zero) |
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96 # EM = maskedDB || H || 0xbc |
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97 |
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98 # mHash: |
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99 37 b6 6a e0 44 58 43 35 3d 47 ec b0 b4 fd 14 c1 |
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100 10 e6 2d 6a |
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101 |
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102 # salt: |
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103 e3 b5 d5 d0 02 c1 bc e5 0c 2b 65 ef 88 a1 88 d8 |
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104 3b ce 7e 61 |
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105 |
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106 # M': |
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107 00 00 00 00 00 00 00 00 37 b6 6a e0 44 58 43 35 |
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108 3d 47 ec b0 b4 fd 14 c1 10 e6 2d 6a e3 b5 d5 d0 |
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109 02 c1 bc e5 0c 2b 65 ef 88 a1 88 d8 3b ce 7e 61 |
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110 |
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111 # H: |
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112 df 1a 89 6f 9d 8b c8 16 d9 7c d7 a2 c4 3b ad 54 |
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113 6f be 8c fe |
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114 |
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115 # DB: |
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116 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |
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117 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |
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118 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |
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119 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |
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120 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |
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121 00 00 00 00 00 00 01 e3 b5 d5 d0 02 c1 bc e5 0c |
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122 2b 65 ef 88 a1 88 d8 3b ce 7e 61 |
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123 |
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124 # dbMask: |
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125 66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 |
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126 d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af |
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127 50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 |
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128 d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 |
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129 e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec |
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130 d3 18 3a 31 1f c8 97 39 a9 66 43 13 6e 8b 0f 46 |
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131 5e 87 a4 53 5c d4 c5 9b 10 02 8d |
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132 |
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133 # maskedDB: |
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134 66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 |
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135 d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af |
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136 50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 |
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137 d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 |
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138 e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec |
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139 d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a |
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140 75 e2 4b db fd 5c 1d a0 de 7c ec |
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141 |
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142 # Encoded message EM: |
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143 66 e4 67 2e 83 6a d1 21 ba 24 4b ed 65 76 b8 67 |
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144 d9 a4 47 c2 8a 6e 66 a5 b8 7d ee 7f bc 7e 65 af |
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145 50 57 f8 6f ae 89 84 d9 ba 7f 96 9a d6 fe 02 a4 |
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146 d7 5f 74 45 fe fd d8 5b 6d 3a 47 7c 28 d2 4b a1 |
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147 e3 75 6f 79 2d d1 dc e8 ca 94 44 0e cb 52 79 ec |
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148 d3 18 3a 31 1f c8 96 da 1c b3 93 11 af 37 ea 4a |
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149 75 e2 4b db fd 5c 1d a0 de 7c ec df 1a 89 6f 9d |
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150 8b c8 16 d9 7c d7 a2 c4 3b ad 54 6f be 8c fe bc |
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151 |
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152 # Signature S, the RSA decryption of EM: |
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153 8d aa 62 7d 3d e7 59 5d 63 05 6c 7e c6 59 e5 44 |
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154 06 f1 06 10 12 8b aa e8 21 c8 b2 a0 f3 93 6d 54 |
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155 dc 3b dc e4 66 89 f6 b7 95 1b b1 8e 84 05 42 76 |
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156 97 18 d5 71 5d 21 0d 85 ef bb 59 61 92 03 2c 42 |
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157 be 4c 29 97 2c 85 62 75 eb 6d 5a 45 f0 5f 51 87 |
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158 6f c6 74 3d ed dd 28 ca ec 9b b3 0e a9 9e 02 c3 |
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159 48 82 69 60 4f e4 97 f7 4c cd 7c 7f ca 16 71 89 |
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160 71 23 cb d3 0d ef 5d 54 a2 b5 53 6a d9 0a 74 7e |
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161 |
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162 # ============================================= |