1 | #!/bin/sed -nf
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2 | # dc.sed - an arbitrary precision RPN calculator
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3 | # Created by Greg Ubben <gsu@romulus.ncsc.mil> early 1995, late 1996
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4 | #
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5 | # Dedicated to MAC's memory of the IBM 1620 ("CADET") computer.
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6 | # @(#)GSU dc.sed 1.1 06-Mar-1999 [non-explanatory]
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7 | #
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8 | # Examples:
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9 | # sqrt(2) to 10 digits: echo "10k 2vp" | dc.sed
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10 | # 20 factorial: echo "[d1-d1<!*]s! 20l!xp" | dc.sed
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11 | # sin(ln(7)): echo "s(l(7))" | bc -c /usr/lib/lib.b | dc.sed
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12 | # hex to base 60: echo "60o16i 6B407.CAFE p" | dc.sed
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13 | # tests most of dc.sed: echo 16oAk2vp | dc.sed
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14 | #
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15 | # To debug or analyze, give the dc Y command as input or add it to
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16 | # embedded dc routines, or add the sed p command to the beginning of
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17 | # the main loop or at various points in the low-level sed routines.
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18 | # If you need to allow [|~] characters in the input, filter this
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19 | # script through "tr '|~' '\36\37'" first (or use dc.pl).
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20 | #
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21 | # Not implemented: ! \
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22 | # But implemented: K Y t # !< !> != fractional-bases
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23 | # SunOS limits: 199/199 commands (though could pack in 10-20 more)
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24 | # Limitations: scale <= 999; |obase| >= 1; input digits in [0..F]
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25 | # Completed: 1am Feb 4, 1997
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26 |
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27 | s/^/|P|K0|I10|O10|?~/
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28 |
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29 | : next
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30 | s/|?./|?/
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31 | s/|?#[ -}]*/|?/
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32 | /|?!*[lLsS;:<>=]\{0,1\}$/N
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33 | /|?!*[-+*/%^<>=]/b binop
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34 | /^|.*|?[dpPfQXZvxkiosStT;:]/b binop
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35 | /|?[_0-9A-F.]/b number
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36 | /|?\[/b string
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37 | /|?l/b load
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38 | /|?L/b Load
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39 | /|?[sS]/b save
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40 | /|?c/ s/[^|]*//
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41 | /|?d/ s/[^~]*~/&&/
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42 | /|?f/ s//&[pSbz0<aLb]dSaxsaLa/
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43 | /|?x/ s/\([^~]*~\)\(.*|?x\)~*/\2\1/
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44 | /|?[KIO]/ s/.*|\([KIO]\)\([^|]*\).*|?\1/\2~&/
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45 | /|?T/ s/\.*0*~/~/
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46 | # a slow, non-stackable array implementation in dc, just for completeness
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47 | # A fast, stackable, associative array implementation could be done in sed
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48 | # (format: {key}value{key}value...), but would be longer, like load & save.
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49 | /|?;/ s/|?;\([^{}]\)/|?~[s}s{L{s}q]S}[S}l\1L}1-d0>}s\1L\1l{xS\1]dS{xL}/
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50 | /|?:/ s/|?:\([^{}]\)/|?~[s}L{s}L{s}L}s\1q]S}S}S{[L}1-d0>}S}l\1s\1L\1l{xS\1]dS{x/
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51 | /|?[ ~ cdfxKIOT]/b next
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52 | /|?\n/b next
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53 | /|?[pP]/b print
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54 | /|?k/ s/^\([0-9]\{1,3\}\)\([.~].*|K\)[^|]*/\2\1/
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55 | /|?i/ s/^\(-\{0,1\}[0-9]*\.\{0,1\}[0-9]\{1,\}\)\(~.*|I\)[^|]*/\2\1/
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56 | /|?o/ s/^\(-\{0,1\}[1-9][0-9]*\.\{0,1\}[0-9]*\)\(~.*|O\)[^|]*/\2\1/
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57 | /|?[kio]/b pop
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58 | /|?t/b trunc
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59 | /|??/b input
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60 | /|?Q/b break
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61 | /|?q/b quit
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62 | h
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63 | /|?[XZz]/b count
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64 | /|?v/b sqrt
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65 | s/.*|?\([^Y]\).*/\1 is unimplemented/
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66 | s/\n/\\n/g
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67 | l
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68 | g
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69 | b next
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70 |
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71 | : print
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72 | /^-\{0,1\}[0-9]*\.\{0,1\}[0-9]\{1,\}~.*|?p/!b Print
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73 | /|O10|/b Print
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74 |
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75 | # Print a number in a non-decimal output base. Uses registers a,b,c,d.
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76 | # Handles fractional output bases (O<-1 or O>=1), unlike other dc's.
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77 | # Converts the fraction correctly on negative output bases, unlike
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78 | # UNIX dc. Also scales the fraction more accurately than UNIX dc.
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79 | #
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80 | s,|?p,&KSa0kd[[-]Psa0la-]Sad0>a[0P]sad0=a[A*2+]saOtd0>a1-ZSd[[[[ ]P]sclb1\
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81 | !=cSbLdlbtZ[[[-]P0lb-sb]sclb0>c1+]sclb0!<c[0P1+dld>c]scdld>cscSdLbP]q]Sb\
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82 | [t[1P1-d0<c]scd0<c]ScO_1>bO1!<cO[16]<bOX0<b[[q]sc[dSbdA>c[A]sbdA=c[B]sbd\
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83 | B=c[C]sbdC=c[D]sbdD=c[E]sbdE=c[F]sb]xscLbP]~Sd[dtdZOZ+k1O/Tdsb[.5]*[.1]O\
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84 | X^*dZkdXK-1+ktsc0kdSb-[Lbdlb*lc+tdSbO*-lb0!=aldx]dsaxLbsb]sad1!>a[[.]POX\
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85 | +sb1[SbO*dtdldx-LbO*dZlb!<a]dsax]sadXd0<asbsasaLasbLbscLcsdLdsdLdLak[]pP,
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86 | b next
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87 |
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88 | : Print
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89 | /|?p/s/[^~]*/&\
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90 | ~&/
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91 | s/\(.*|P\)\([^|]*\)/\
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92 | \2\1/
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93 | s/\([^~]*\)\n\([^~]*\)\(.*|P\)/\1\3\2/
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94 | h
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95 | s/~.*//
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96 | /./{ s/.//; p; }
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97 | # Just s/.//p would work if we knew we were running under the -n option.
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98 | # Using l vs p would kind of do \ continuations, but would break strings.
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99 | g
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100 |
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101 | : pop
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102 | s/[^~]*~//
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103 | b next
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104 |
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105 | : load
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106 | s/\(.*|?.\)\(.\)/\20~\1/
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107 | s/^\(.\)0\(.*|r\1\([^~|]*\)~\)/\1\3\2/
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108 | s/.//
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109 | b next
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110 |
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111 | : Load
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112 | s/\(.*|?.\)\(.\)/\2\1/
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113 | s/^\(.\)\(.*|r\1\)\([^~|]*~\)/|\3\2/
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114 | /^|/!i\
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115 | register empty
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116 | s/.//
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117 | b next
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118 |
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119 | : save
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120 | s/\(.*|?.\)\(.\)/\2\1/
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121 | /^\(.\).*|r\1/ !s/\(.\).*|/&r\1|/
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122 | /|?S/ s/\(.\).*|r\1/&~/
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123 | s/\(.\)\([^~]*~\)\(.*|r\1\)[^~|]*~\{0,1\}/\3\2/
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124 | b next
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125 |
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126 | : quit
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127 | t quit
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128 | s/|?[^~]*~[^~]*~/|?q/
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129 | t next
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130 | # Really should be using the -n option to avoid printing a final newline.
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131 | s/.*|P\([^|]*\).*/\1/
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132 | q
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133 |
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134 | : break
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135 | s/[0-9]*/&;987654321009;/
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136 | : break1
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137 | s/^\([^;]*\)\([1-9]\)\(0*\)\([^1]*\2\(.\)[^;]*\3\(9*\).*|?.\)[^~]*~/\1\5\6\4/
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138 | t break1
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139 | b pop
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140 |
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141 | : input
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142 | N
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143 | s/|??\(.*\)\(\n.*\)/|?\2~\1/
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144 | b next
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145 |
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146 | : count
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147 | /|?Z/ s/~.*//
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148 | /^-\{0,1\}[0-9]*\.\{0,1\}[0-9]\{1,\}$/ s/[-.0]*\([^.]*\)\.*/\1/
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149 | /|?X/ s/-*[0-9A-F]*\.*\([0-9A-F]*\).*/\1/
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150 | s/|.*//
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151 | /~/ s/[^~]//g
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152 |
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153 | s/./a/g
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154 | : count1
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155 | s/a\{10\}/b/g
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156 | s/b*a*/&a9876543210;/
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157 | s/a.\{9\}\(.\).*;/\1/
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158 | y/b/a/
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159 | /a/b count1
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160 | G
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161 | /|?z/ s/\n/&~/
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162 | s/\n[^~]*//
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163 | b next
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164 |
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165 | : trunc
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166 | # for efficiency, doesn't pad with 0s, so 10k 2 5/ returns just .40
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167 | # The X* here and in a couple other places works around a SunOS 4.x sed bug.
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168 | s/\([^.~]*\.*\)\(.*|K\([^|]*\)\)/\3;9876543210009909:\1,\2/
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169 | : trunc1
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170 | s/^\([^;]*\)\([1-9]\)\(0*\)\([^1]*\2\(.\)[^:]*X*\3\(9*\)[^,]*\),\([0-9]\)/\1\5\6\4\7,/
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171 | t trunc1
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172 | s/[^:]*:\([^,]*\)[^~]*/\1/
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173 | b normal
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174 |
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175 | : number
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176 | s/\(.*|?\)\(_\{0,1\}[0-9A-F]*\.\{0,1\}[0-9A-F]*\)/\2~\1~/
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177 | s/^_/-/
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178 | /^[^A-F~]*~.*|I10|/b normal
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179 | /^[-0.]*~/b normal
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180 | s:\([^.~]*\)\.*\([^~]*\):[Ilb^lbk/,\1\2~0A1B2C3D4E5F1=11223344556677889900;.\2:
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181 | : digit
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182 | s/^\([^,]*\),\(-*\)\([0-F]\)\([^;]*\(.\)\3[^1;]*\(1*\)\)/I*+\1\2\6\5~,\2\4/
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183 | t digit
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184 | s:...\([^/]*.\)\([^,]*\)[^.]*\(.*|?.\):\2\3KSb[99]k\1]SaSaXSbLalb0<aLakLbktLbk:
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185 | b next
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186 |
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187 | : string
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188 | /|?[^]]*$/N
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189 | s/\(|?[^]]*\)\[\([^]]*\)]/\1|{\2|}/
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190 | /|?\[/b string
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191 | s/\(.*|?\)|{\(.*\)|}/\2~\1[/
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192 | s/|{/[/g
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193 | s/|}/]/g
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194 | b next
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195 |
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196 | : binop
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197 | /^[^~|]*~[^|]/ !i\
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198 | stack empty
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199 | //!b next
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200 | /^-\{0,1\}[0-9]*\.\{0,1\}[0-9]\{1,\}~/ !s/[^~]*\(.*|?!*[^!=<>]\)/0\1/
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201 | /^[^~]*~-\{0,1\}[0-9]*\.\{0,1\}[0-9]\{1,\}~/ !s/~[^~]*\(.*|?!*[^!=<>]\)/~0\1/
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202 | h
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203 | /|?\*/b mul
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204 | /|?\//b div
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205 | /|?%/b rem
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206 | /|?^/b exp
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207 |
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208 | /|?[+-]/ s/^\(-*\)\([^~]*~\)\(-*\)\([^~]*~\).*|?\(-\{0,1\}\).*/\2\4s\3o\1\3\5/
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209 | s/\([^.~]*\)\([^~]*~[^.~]*\)\(.*\)/<\1,\2,\3|=-~.0,123456789<></
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210 | /^<\([^,]*,[^~]*\)\.*0*~\1\.*0*~/ s/</=/
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211 | : cmp1
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212 | s/^\(<[^,]*\)\([0-9]\),\([^,]*\)\([0-9]\),/\1,\2\3,\4/
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213 | t cmp1
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214 | /^<\([^~]*\)\([^~]\)[^~]*~\1\(.\).*|=.*\3.*\2/ s/</>/
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215 | /|?/{
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216 | s/^\([<>]\)\(-[^~]*~-.*\1\)\(.\)/\3\2/
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217 | s/^\(.\)\(.*|?!*\)\1/\2!\1/
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218 | s/|?![^!]\(.\)/&l\1x/
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219 | s/[^~]*~[^~]*~\(.*|?\)!*.\(.*\)|=.*/\1\2/
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220 | b next
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221 | }
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222 | s/\(-*\)\1|=.*/;9876543210;9876543210/
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223 | /o-/ s/;9876543210/;0123456789/
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224 | s/^>\([^~]*~\)\([^~]*~\)s\(-*\)\(-*o\3\(-*\)\)/>\2\1s\5\4/
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225 |
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226 | s/,\([0-9]*\)\.*\([^,]*\),\([0-9]*\)\.*\([0-9]*\)/\1,\2\3.,\4;0/
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227 | : right1
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228 | s/,\([0-9]\)\([^,]*\),;*\([0-9]\)\([0-9]*\);*0*/\1,\2\3,\4;0/
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229 | t right1
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230 | s/.\([^,]*\),~\(.*\);0~s\(-*\)o-*/\1~\30\2~/
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231 |
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232 | : addsub1
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233 | s/\(.\{0,1\}\)\(~[^,]*\)\([0-9]\)\(\.*\),\([^;]*\)\(;\([^;]*\(\3[^;]*\)\).*X*\1\(.*\)\)/\2,\4\5\9\8\7\6/
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234 | s/,\([^~]*~\).\{10\}\(.\)[^;]\{0,9\}\([^;]\{0,1\}\)[^;]*/,\2\1\3/
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235 | # could be done in one s/// if we could have >9 back-refs...
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236 | /^~.*~;/!b addsub1
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237 |
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238 | : endbin
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239 | s/.\([^,]*\),\([0-9.]*\).*/\1\2/
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240 | G
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241 | s/\n[^~]*~[^~]*//
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242 |
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243 | : normal
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244 | s/^\(-*\)0*\([0-9.]*[0-9]\)[^~]*/\1\2/
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245 | s/^[^1-9~]*~/0~/
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246 | b next
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247 |
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248 | : mul
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249 | s/\(-*\)\([0-9]*\)\.*\([0-9]*\)~\(-*\)\([0-9]*\)\.*\([0-9]*\).*|K\([^|]*\).*/\1\4\2\5.!\3\6,|\2<\3~\5>\6:\7;9876543210009909/
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250 |
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251 | : mul1
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252 | s/![0-9]\([^<]*\)<\([0-9]\{0,1\}\)\([^>]*\)>\([0-9]\{0,1\}\)/0!\1\2<\3\4>/
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253 | /![0-9]/ s/\(:[^;]*\)\([1-9]\)\(0*\)\([^0]*\2\(.\).*X*\3\(9*\)\)/\1\5\6\4/
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254 | /<~[^>]*>:0*;/!t mul1
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255 |
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256 | s/\(-*\)\1\([^>]*\).*/;\2^>:9876543210aaaaaaaaa/
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257 |
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258 | : mul2
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259 | s/\([0-9]~*\)^/^\1/
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260 | s/<\([0-9]*\)\(.*[~^]\)\([0-9]*\)>/\1<\2>\3/
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261 |
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262 | : mul3
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263 | s/>\([0-9]\)\(.*\1.\{9\}\(a*\)\)/\1>\2;9\38\37\36\35\34\33\32\31\30/
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264 | s/\(;[^<]*\)\([0-9]\)<\([^;]*\).*\2[0-9]*\(.*\)/\4\1<\2\3/
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265 | s/a[0-9]/a/g
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266 | s/a\{10\}/b/g
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267 | s/b\{10\}/c/g
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268 | /|0*[1-9][^>]*>0*[1-9]/b mul3
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269 |
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270 | s/;/a9876543210;/
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271 | s/a.\{9\}\(.\)[^;]*\([^,]*\)[0-9]\([.!]*\),/\2,\1\3/
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272 | y/cb/ba/
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273 | /|<^/!b mul2
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274 | b endbin
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275 |
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276 | : div
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277 | # CDDET
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278 | /^[-.0]*[1-9]/ !i\
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279 | divide by 0
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280 | //!b pop
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281 | s/\(-*\)\([0-9]*\)\.*\([^~]*~-*\)\([0-9]*\)\.*\([^~]*\)/\2.\3\1;0\4.\5;0/
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282 | : div1
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283 | s/^\.0\([^.]*\)\.;*\([0-9]\)\([0-9]*\);*0*/.\1\2.\3;0/
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284 | s/^\([^.]*\)\([0-9]\)\.\([^;]*;\)0*\([0-9]*\)\([0-9]\)\./\1.\2\30\4.\5/
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285 | t div1
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286 | s/~\(-*\)\1\(-*\);0*\([^;]*[0-9]\)[^~]*/~123456789743222111~\2\3/
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287 | s/\(.\(.\)[^~]*\)[^9]*\2.\{8\}\(.\)[^~]*/\3~\1/
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288 | s,|?.,&SaSadSaKdlaZ+LaX-1+[sb1]Sbd1>bkLatsbLa[dSa2lbla*-*dLa!=a]dSaxsakLasbLb*t,
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289 | b next
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290 |
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291 | : rem
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292 | s,|?%,&Sadla/LaKSa[999]k*Lak-,
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293 | b next
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294 |
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295 | : exp
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296 | # This decimal method is just a little faster than the binary method done
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297 | # totally in dc: 1LaKLb [kdSb*LbK]Sb [[.5]*d0ktdSa<bkd*KLad1<a]Sa d1<a kk*
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298 | /^[^~]*\./i\
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299 | fraction in exponent ignored
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300 | s,[^-0-9].*,;9d**dd*8*d*d7dd**d*6d**d5d*d*4*d3d*2lbd**1lb*0,
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301 | : exp1
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302 | s/\([0-9]\);\(.*\1\([d*]*\)[^l]*\([^*]*\)\(\**\)\)/;dd*d**d*\4\3\5\2/
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303 | t exp1
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304 | G
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305 | s,-*.\{9\}\([^9]*\)[^0]*0.\(.*|?.\),\2~saSaKdsaLb0kLbkK*+k1\1LaktsbkLax,
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306 | s,|?.,&SadSbdXSaZla-SbKLaLadSb[0Lb-d1lb-*d+K+0kkSb[1Lb/]q]Sa0>a[dk]sadK<a[Lb],
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307 | b next
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308 |
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309 | : sqrt
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310 | # first square root using sed: 8k2v at 1:30am Dec 17, 1996
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311 | /^-/i\
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312 | square root of negative number
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313 | /^[-0]/b next
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314 | s/~.*//
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315 | /^\./ s/0\([0-9]\)/\1/g
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316 | /^\./ !s/[0-9][0-9]/7/g
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317 | G
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318 | s/\n/~/
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319 | s,|?.,&K1+k KSbSb[dk]SadXdK<asadlb/lb+[.5]*[sbdlb/lb+[.5]*dlb>a]dsaxsasaLbsaLatLbk K1-kt,
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320 | b next
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321 |
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322 | # END OF GSU dc.sed
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