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1 (* Copyright (c) 2008, Adam Chlipala
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2 * All rights reserved.
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3 *
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4 * Redistribution and use in source and binary forms, with or without
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5 * modification, are permitted provided that the following conditions are met:
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6 *
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7 * - Redistributions of source code must retain the above copyright notice,
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8 * this list of conditions and the following disclaimer.
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9 * - Redistributions in binary form must reproduce the above copyright notice,
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10 * this list of conditions and the following disclaimer in the documentation
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11 * and/or other materials provided with the distribution.
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12 * - The names of contributors may not be used to endorse or promote products
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13 * derived from this software without specific prior written permission.
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14 *
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15 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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16 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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18 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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19 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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20 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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21 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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22 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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23 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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24 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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25 * POSSIBILITY OF SUCH DAMAGE.
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26 *)
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27
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28 (* Simplify a Core program algebraically *)
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29
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30 structure Reduce :> REDUCE = struct
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31
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32 open Core
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33
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34 structure E = CoreEnv
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35 structure U = CoreUtil
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36
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37 val liftConInCon = E.liftConInCon
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38
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39 val subConInCon =
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40 U.Con.mapB {kind = fn k => k,
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41 con = fn (xn, rep) => fn c =>
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42 case c of
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43 CRel xn' =>
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44 (case Int.compare (xn', xn) of
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45 EQUAL => #1 rep
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46 | GREATER => CRel (xn' - 1)
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47 | LESS => c)
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48 | _ => c,
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49 bind = fn ((xn, rep), U.Con.Rel _) => (xn+1, liftConInCon 0 rep)
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50 | (ctx, _) => ctx}
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51
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52 val liftExpInExp =
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53 U.Exp.mapB {kind = fn k => k,
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54 con = fn _ => fn c => c,
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55 exp = fn bound => fn e =>
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56 case e of
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57 ERel xn =>
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58 if xn < bound then
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59 e
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60 else
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61 ERel (xn + 1)
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62 | _ => e,
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63 bind = fn (bound, U.Exp.RelE _) => bound + 1
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64 | (bound, _) => bound}
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65
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66 val subExpInExp =
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67 U.Exp.mapB {kind = fn k => k,
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68 con = fn _ => fn c => c,
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69 exp = fn (xn, rep) => fn e =>
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70 case e of
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71 ERel xn' =>
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72 (case Int.compare (xn', xn) of
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73 EQUAL => #1 rep
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74 | GREATER=> ERel (xn' - 1)
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75 | LESS => e)
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76 | _ => e,
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77 bind = fn ((xn, rep), U.Exp.RelE _) => (xn+1, liftExpInExp 0 rep)
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78 | (ctx, _) => ctx}
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79
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80 val liftConInExp =
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81 U.Exp.mapB {kind = fn k => k,
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82 con = fn bound => fn c =>
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83 case c of
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84 CRel xn =>
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85 if xn < bound then
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86 c
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87 else
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88 CRel (xn + 1)
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89 | _ => c,
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90 exp = fn _ => fn e => e,
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91 bind = fn (bound, U.Exp.RelC _) => bound + 1
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92 | (bound, _) => bound}
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93
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94 val subConInExp =
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95 U.Exp.mapB {kind = fn k => k,
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96 con = fn (xn, rep) => fn c =>
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97 case c of
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98 CRel xn' =>
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99 (case Int.compare (xn', xn) of
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100 EQUAL => #1 rep
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101 | GREATER => CRel (xn' - 1)
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102 | LESS => c)
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103 | _ => c,
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104 exp = fn _ => fn e => e,
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105 bind = fn ((xn, rep), U.Exp.RelC _) => (xn+1, liftConInCon 0 rep)
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106 | (ctx, _) => ctx}
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107
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108 fun bindC (env, b) =
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109 case b of
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110 U.Con.Rel (x, k) => E.pushCRel env x k
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111 | U.Con.Named (x, n, k, co) => E.pushCNamed env x n k co
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112
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113 fun bind (env, b) =
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114 case b of
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115 U.Decl.RelC (x, k) => E.pushCRel env x k
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116 | U.Decl.NamedC (x, n, k, co) => E.pushCNamed env x n k co
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117 | U.Decl.RelE (x, t) => E.pushERel env x t
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118 | U.Decl.NamedE (x, n, t, eo) => E.pushENamed env x n t eo
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119
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120 fun kind k = k
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121
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122 fun con env c =
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123 case c of
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124 CApp ((CApp ((CApp ((CFold ks, _), f), _), i), loc), (CRecord (k, xcs), _)) =>
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125 (case xcs of
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126 [] => #1 i
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127 | (n, v) :: rest =>
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128 #1 (reduceCon env (CApp ((CApp ((CApp (f, n), loc), v), loc),
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129 (CApp ((CApp ((CApp ((CFold ks, loc), f), loc), i), loc),
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130 (CRecord (k, rest), loc)), loc)), loc)))
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131 | CApp ((CAbs (_, _, c1), loc), c2) =>
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132 #1 (reduceCon env (subConInCon (0, c2) c1))
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133 | CNamed n =>
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134 (case E.lookupCNamed env n of
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135 (_, _, SOME c') => #1 c'
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136 | _ => c)
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137 | CConcat ((CRecord (k, xcs1), loc), (CRecord (_, xcs2), _)) => CRecord (k, xcs1 @ xcs2)
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138 | _ => c
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139
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140 and reduceCon env = U.Con.mapB {kind = kind, con = con, bind = bindC} env
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141
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142 fun exp env e =
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143 case e of
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144 ENamed n =>
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145 (case E.lookupENamed env n of
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146 (_, _, SOME e') => #1 e'
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147 | _ => e)
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148
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149 | ECApp ((EApp ((EApp ((ECApp ((EFold ks, _), ran), _), f), _), i), _), (CRecord (k, xcs), loc)) =>
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150 (case xcs of
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151 [] => #1 i
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152 | (n, v) :: rest =>
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153 #1 (reduceExp env (EApp ((ECApp ((ECApp ((ECApp (f, n), loc), v), loc), (CRecord (k, rest), loc)), loc),
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154 (ECApp ((EApp ((EApp ((ECApp ((EFold ks, loc), ran), loc), f), loc), i), loc),
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155 (CRecord (k, rest), loc)), loc)), loc)))
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156
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157 | EApp ((EAbs (_, _, _, e1), loc), e2) =>
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158 #1 (reduceExp env (subExpInExp (0, e2) e1))
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159 | ECApp ((ECAbs (_, _, e1), loc), c) =>
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160 #1 (reduceExp env (subConInExp (0, c) e1))
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161
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162 | EField ((ERecord xes, _), (CName x, _), _) =>
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163 (case List.find (fn ((CName x', _), _, _) => x' = x
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164 | _ => false) xes of
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165 SOME (_, e, _) => #1 e
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166 | NONE => e)
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167
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168 | _ => e
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169
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170 and reduceExp env = U.Exp.mapB {kind = kind, con = con, exp = exp, bind = bind} env
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171
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172 fun decl env d = d
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173
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174 val reduce = U.File.mapB {kind = kind, con = con, exp = exp, decl = decl, bind = bind} CoreEnv.empty
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175
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176 end
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