1 | #pragma rtGlobals=1 // Use modern global access method. |
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2 | #pragma IgorVersion=6.1 |
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3 | |
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4 | //////////////////////////////////////////////// |
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5 | // GaussUtils.proc and PlotUtils.proc MUST be included for the smearing calculation to compile |
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6 | // Adopting these into the experiment will insure that they are always present |
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7 | //////////////////////////////////////////////// |
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8 | // |
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9 | // this function is for the form factor of a sphere with a core-shell structure |
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10 | // |
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11 | // 06 NOV 98 SRK |
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12 | //////////////////////////////////////////////// |
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13 | |
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14 | Proc PlotCoreShellSphere(num,qmin,qmax) |
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15 | Variable num=128,qmin=0.001,qmax=0.7 |
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16 | Prompt num "Enter number of data points for model: " |
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17 | Prompt qmin "Enter minimum q-value (A^-1) for model: " |
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18 | Prompt qmax "Enter maximum q-value (A^-1) for model: " |
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19 | |
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20 | make/o/d/n=(num) xwave_css,ywave_css |
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21 | xwave_css =alog(log(qmin) + x*((log(qmax)-log(qmin))/num)) |
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22 | make/o/d coef_css = {1.,60,10,1e-6,2e-6,3e-6,0.001} |
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23 | make/o/t parameters_css = {"scale","core radius (A)","shell thickness (A)","Core SLD (A-2)","Shell SLD (A-2)","Solvent SLD (A-2)","bkg (cm-1)"} |
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24 | Edit parameters_css,coef_css |
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25 | Variable/G root:g_css |
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26 | g_css := CoreShellSphere(coef_css,ywave_css,xwave_css) |
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27 | // ywave_css := CoreShellSphere(coef_css,xwave_css) |
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28 | Display ywave_css vs xwave_css |
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29 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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30 | Label bottom "q (A\\S-1\\M)" |
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31 | Label left "Intensity (cm\\S-1\\M)" |
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32 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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33 | |
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34 | AddModelToStrings("CoreShellSphere","coef_css","parameters_css","css") |
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35 | End |
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36 | |
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37 | /////////////////////////////////////////////////////////// |
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38 | // - sets up a dependency to a wrapper, not the actual SmearedModelFunction |
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39 | Proc PlotSmearedCoreShellSphere(str) |
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40 | String str |
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41 | Prompt str,"Pick the data folder containing the resolution you want",popup,getAList(4) |
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42 | |
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43 | // if any of the resolution waves are missing => abort |
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44 | if(ResolutionWavesMissingDF(str)) //updated to NOT use global strings (in GaussUtils) |
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45 | Abort |
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46 | endif |
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47 | |
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48 | SetDataFolder $("root:"+str) |
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49 | |
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50 | // Setup parameter table for model function |
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51 | make/o/d smear_coef_css = {1.,60,10,1e-6,2e-6,3e-6,0.001} |
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52 | make/o/t smear_parameters_css = {"scale","core radius (A)","shell thickness (A)","Core SLD (A-2)","Shell SLD (A-2)","Solvent SLD (A-2)","bkg (cm-1)"} |
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53 | Edit smear_parameters_css,smear_coef_css |
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54 | |
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55 | // output smeared intensity wave, dimensions are identical to experimental QSIG values |
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56 | // make extra copy of experimental q-values for easy plotting |
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57 | |
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58 | Duplicate/O $(str+"_q") smeared_css,smeared_qvals |
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59 | SetScale d,0,0,"1/cm",smeared_css |
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60 | |
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61 | Variable/G gs_css=0 |
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62 | gs_css := fSmearedCoreShellSphere(smear_coef_css,smeared_css,smeared_qvals) //this wrapper fills the STRUCT |
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63 | |
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64 | Display smeared_css vs smeared_qvals |
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65 | ModifyGraph log=1,marker=29,msize=2,mode=4 |
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66 | Label bottom "q (A\\S-1\\M)" |
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67 | Label left "Intensity (cm\\S-1\\M)" |
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68 | AutoPositionWindow/M=1/R=$(WinName(0,1)) $WinName(0,2) |
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69 | |
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70 | SetDataFolder root: |
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71 | AddModelToStrings("SmearedCoreShellSphere","smear_coef_css","smear_parameters_css","css") |
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72 | End |
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73 | |
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74 | |
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75 | //AAO version |
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76 | Function CoreShellSphere(cw,yw,xw) : FitFunc |
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77 | Wave cw,yw,xw |
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78 | |
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79 | #if exists("CoreShellSphereX") |
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80 | yw = CoreShellSphereX(cw,xw) |
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81 | #else |
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82 | yw = fCoreShellSphere(cw,xw) |
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83 | #endif |
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84 | return(0) |
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85 | End |
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86 | |
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87 | /////////////////////////////////////////////////////////////// |
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88 | // unsmeared model calculation |
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89 | /////////////////////////// |
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90 | Function fCoreShellSphere(w,x) : FitFunc |
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91 | Wave w |
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92 | Variable x |
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93 | |
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94 | // variables are: |
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95 | //[0] scale factor |
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96 | //[1] radius of core [A] |
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97 | //[2] thickness of the shell [A] |
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98 | //[3] SLD of the core [A-2] |
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99 | //[4] SLD of the shell |
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100 | //[5] SLD of the solvent |
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101 | //[6] background [cm-1] |
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102 | |
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103 | // All inputs are in ANGSTROMS |
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104 | //OUTPUT is normalized by the particle volume, and converted to [cm-1] |
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105 | |
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106 | |
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107 | Variable scale,rcore,thick,rhocore,rhoshel,rhosolv,bkg |
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108 | scale = w[0] |
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109 | rcore = w[1] |
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110 | thick = w[2] |
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111 | rhocore = w[3] |
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112 | rhoshel = w[4] |
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113 | rhosolv = w[5] |
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114 | bkg = w[6] |
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115 | |
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116 | // calculates scale *( f^2 + bkg) |
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117 | Variable bes,f,vol,qr,contr,f2 |
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118 | |
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119 | // core first, then add in shell |
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120 | qr=x*rcore |
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121 | contr = rhocore-rhoshel |
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122 | bes = 3*(sin(qr)-qr*cos(qr))/qr^3 |
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123 | vol = 4*pi/3*rcore^3 |
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124 | f = vol*bes*contr |
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125 | //now the shell |
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126 | qr=x*(rcore+thick) |
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127 | contr = rhoshel-rhosolv |
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128 | bes = 3*(sin(qr)-qr*cos(qr))/qr^3 |
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129 | vol = 4*pi/3*(rcore+thick)^3 |
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130 | f += vol*bes*contr |
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131 | |
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132 | // normalize to particle volume and rescale from [A-1] to [cm-1] |
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133 | f2 = f*f/vol*1.0e8 |
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134 | |
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135 | //scale if desired |
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136 | f2 *= scale |
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137 | // then add in the background |
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138 | f2 += bkg |
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139 | |
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140 | return (f2) |
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141 | End |
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142 | |
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143 | // this is all there is to the smeared calculation! |
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144 | Function SmearedCoreShellSphere(s) :FitFunc |
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145 | Struct ResSmearAAOStruct &s |
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146 | |
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147 | ////the name of your unsmeared model is the first argument |
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148 | Smear_Model_20(CoreShellSphere,s.coefW,s.xW,s.yW,s.resW) |
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149 | |
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150 | return(0) |
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151 | End |
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152 | |
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153 | //wrapper to calculate the smeared model as an AAO-Struct |
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154 | // fills the struct and calls the ususal function with the STRUCT parameter |
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155 | // |
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156 | // used only for the dependency, not for fitting |
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157 | // |
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158 | Function fSmearedCoreShellSphere(coefW,yW,xW) |
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159 | Wave coefW,yW,xW |
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160 | |
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161 | String str = getWavesDataFolder(yW,0) |
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162 | String DF="root:"+str+":" |
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163 | |
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164 | WAVE resW = $(DF+str+"_res") |
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165 | |
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166 | STRUCT ResSmearAAOStruct fs |
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167 | WAVE fs.coefW = coefW |
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168 | WAVE fs.yW = yW |
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169 | WAVE fs.xW = xW |
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170 | WAVE fs.resW = resW |
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171 | |
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172 | Variable err |
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173 | err = SmearedCoreShellSphere(fs) |
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174 | |
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175 | return (0) |
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176 | End |
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