(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 88963, 1790]*) (*NotebookOutlinePosition[ 89628, 1813]*) (* CellTagsIndexPosition[ 89584, 1809]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Liquid Liquid Equilibrium Curve and Tie Lines \nfor ternary \ system: water - ethyl acetate - acetone at 15 \[Degree]C", FontSize->18], StyleBox["\nAuthor's Data: ", FontSize->16], StyleBox["Housam BINOUS\nDepartment of Chemical Engineering\nNational \ Institute of Applied Sciences and Technology\nTunis, TUNISIA\nEmail: \ binoushousam@yahoo.com ", FontSize->16, FontWeight->"Plain", FontVariations->{"CompatibilityType"->0}] }], "Title", TextAlignment->Center, Background->RGBColor[0.734386, 0.996109, 0.648447]], Cell[BoxData[ \(Off[General::"\"]\)], "Input"], Cell[CellGroupData[{ Cell["\<\ Activities using the NRTL model\ \>", "Subsubtitle", Background->RGBColor[0.996109, 0.996109, 0.621103]], Cell[CellGroupData[{ Cell[BoxData[ \(GAMMA1 = Exp[\((t21/\((R\ T)\)\ G21\ x2 + t31/\((R\ T)\)\ G31\ x3)\)/\((x1 + G21\ x2 + G31\ x3)\) + x1/\((x1 + G21\ x2 + G31\ x3)\)\ \((\(-\((x2\ t21/\((R\ T)\)\ G21 + x3\ t31/\((R\ T)\)\ G31)\)\)/\((x1 + G21\ x2 + G31\ x3)\))\) + x2\ G12/\((G12\ x1 + x2 + G32\ x3)\)\ \((t12/\((R\ T)\) - \((x1\ t12/\((R\ T)\)\ G12 \ + x3\ t32/\((R\ T)\)\ G32)\)/\((G12\ x1 + x2 + G32\ x3)\))\) + \[IndentingNewLine]x3\ G13/\((G13\ x1 + G23\ x2\ + x3)\)\ \((t13/\((R\ T)\) - \((x1\ t13/\((R\ T)\)\ G13 + x2\ t23/\((R\ T)\)\ G23)\)/\((G13\ x1 + G23\ x2\ + x3)\))\)]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\^\(\(x1\ \((\(-\(\(G21\ t21\ x2\)\/\(R\ T\)\)\) - \(G31\ \ t31\ x3\)\/\(R\ T\))\)\)\/\((x1 + G21\ x2 + G31\ x3)\)\^2 + \(\(G21\ t21\ \ x2\)\/\(R\ T\) + \(G31\ t31\ x3\)\/\(R\ T\)\)\/\(x1 + G21\ x2 + G31\ x3\) + \ \(G13\ x3\ \((t13\/\(R\ T\) - \(\(G13\ t13\ x1\)\/\(R\ T\) + \(G23\ t23\ x2\)\ \/\(R\ T\)\)\/\(G13\ x1 + G23\ x2 + x3\))\)\)\/\(G13\ x1 + G23\ x2 + x3\) + \ \(G12\ x2\ \((t12\/\(R\ T\) - \(\(G12\ t12\ x1\)\/\(R\ T\) + \(G32\ t32\ x3\)\ \/\(R\ T\)\)\/\(G12\ x1 + x2 + G32\ x3\))\)\)\/\(G12\ x1 + x2 + G32\ \ x3\)\)\)], "Output"], Cell[CellGroupData[{ Cell[BoxData[ \(GAMMA1p = Exp[\((t21/\((R\ T)\)\ G21\ xp2 + t31/\((R\ T)\)\ G31\ xp3)\)/\((xp1 + G21\ xp2 + G31\ xp3)\) + xp1/\((xp1 + G21\ xp2 + G31\ xp3)\)\ \((\(-\((xp2\ t21/\((R\ T)\)\ G21 + xp3\ t31/\((R\ T)\)\ G31)\)\)/\((xp1 + G21\ xp2 + G31\ xp3)\))\) + xp2\ G12/\((G12\ xp1 + xp2 + G32\ xp3)\)\ \((t12/\((R\ T)\) - \((xp1\ t12/\((R\ T)\)\ \ G12 + xp3\ t32/\((R\ T)\)\ G32)\)/\((G12\ xp1 + xp2 + G32\ xp3)\))\) + \[IndentingNewLine]xp3\ G13/\((G13\ \ xp1 + G23\ xp2\ + xp3)\)\ \((t13/\((R\ T)\) - \((xp1\ t13/\((R\ T)\)\ G13 + xp2\ t23/\((R\ T)\)\ G23)\)/\((G13\ xp1 + G23\ xp2\ + xp3)\))\)]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\^\(\(xp1\ \((\(-\(\(G21\ t21\ xp2\)\/\(R\ T\)\)\) - \ \(G31\ t31\ xp3\)\/\(R\ T\))\)\)\/\((xp1 + G21\ xp2 + G31\ xp3)\)\^2 + \ \(\(G21\ t21\ xp2\)\/\(R\ T\) + \(G31\ t31\ xp3\)\/\(R\ T\)\)\/\(xp1 + G21\ \ xp2 + G31\ xp3\) + \(G13\ xp3\ \((t13\/\(R\ T\) - \(\(G13\ t13\ xp1\)\/\(R\ T\ \) + \(G23\ t23\ xp2\)\/\(R\ T\)\)\/\(G13\ xp1 + G23\ xp2 + xp3\))\)\)\/\(G13\ \ xp1 + G23\ xp2 + xp3\) + \(G12\ xp2\ \((t12\/\(R\ T\) - \(\(G12\ t12\ xp1\)\ \/\(R\ T\) + \(G32\ t32\ xp3\)\/\(R\ T\)\)\/\(G12\ xp1 + xp2 + G32\ \ xp3\))\)\)\/\(G12\ xp1 + xp2 + G32\ xp3\)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(GAMMA2 = Exp[\((t12/\((R\ T)\)\ G12\ x1 + t32/\((R\ T)\)\ G32\ x3)\)/\((G12\ x1 + x2 + G32\ x3)\) + x1\ G21/\((x1 + G21\ x2 + G31\ x3)\)\ \((t21/\((R\ T)\) - \((x2\ t21/\((R\ T)\)\ G21 \ + x3\ t31/\((R\ T)\)\ G31)\)/\((x1 + G21\ x2 + G31\ x3)\))\) + x2/\((G12\ x1 + x2 + G32\ x3)\)\ \((\(-\((x1\ t12/\((R\ T)\)\ G12 + x3\ t32/\((R\ T)\)\ G32)\)\)/\((G12\ x1 + x2 + G32\ x3)\))\) + x3\ G23/\((G13\ x1 + G23\ x2\ + x3)\)\ \((t23/\((R\ T)\) - \((x1\ t13/\((R\ T)\)\ G13 + x2\ t23/\((R\ T)\)\ G23)\)/\((G13\ x1 + G23\ x2\ + x3)\))\)]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\^\(\(x2\ \((\(-\(\(G12\ t12\ x1\)\/\(R\ T\)\)\) - \(G32\ \ t32\ x3\)\/\(R\ T\))\)\)\/\((G12\ x1 + x2 + G32\ x3)\)\^2 + \(\(G12\ t12\ \ x1\)\/\(R\ T\) + \(G32\ t32\ x3\)\/\(R\ T\)\)\/\(G12\ x1 + x2 + G32\ x3\) + \ \(G23\ x3\ \((t23\/\(R\ T\) - \(\(G13\ t13\ x1\)\/\(R\ T\) + \(G23\ t23\ x2\)\ \/\(R\ T\)\)\/\(G13\ x1 + G23\ x2 + x3\))\)\)\/\(G13\ x1 + G23\ x2 + x3\) + \ \(G21\ x1\ \((t21\/\(R\ T\) - \(\(G21\ t21\ x2\)\/\(R\ T\) + \(G31\ t31\ x3\)\ \/\(R\ T\)\)\/\(x1 + G21\ x2 + G31\ x3\))\)\)\/\(x1 + G21\ x2 + G31\ \ x3\)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(GAMMA2p = Exp[\((t12/\((R\ T)\)\ G12\ xp1 + t32/\((R\ T)\)\ G32\ xp3)\)/\((G12\ xp1 + xp2 + G32\ xp3)\) + xp1\ G21/\((xp1 + G21\ xp2 + G31\ xp3)\)\ \((t21/\((R\ T)\) - \((xp2\ t21/\((R\ T)\)\ \ G21 + xp3\ t31/\((R\ T)\)\ G31)\)/\((xp1 + G21\ xp2 + G31\ xp3)\))\) + xp2/\((G12\ xp1 + xp2 + G32\ xp3)\)\ \((\(-\((xp1\ t12/\((R\ T)\)\ G12 + xp3\ t32/\((R\ T)\)\ G32)\)\)/\((G12\ xp1 + xp2 + G32\ xp3)\))\) + xp3\ G23/\((G13\ xp1 + G23\ xp2\ + xp3)\)\ \((t23/\((R\ T)\) - \((xp1\ t13/\((R\ T)\)\ G13 + xp2\ t23/\((R\ T)\)\ G23)\)/\((G13\ xp1 + G23\ xp2\ + xp3)\))\)]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\^\(\(xp2\ \((\(-\(\(G12\ t12\ xp1\)\/\(R\ T\)\)\) - \ \(G32\ t32\ xp3\)\/\(R\ T\))\)\)\/\((G12\ xp1 + xp2 + G32\ xp3)\)\^2 + \ \(\(G12\ t12\ xp1\)\/\(R\ T\) + \(G32\ t32\ xp3\)\/\(R\ T\)\)\/\(G12\ xp1 + \ xp2 + G32\ xp3\) + \(G23\ xp3\ \((t23\/\(R\ T\) - \(\(G13\ t13\ xp1\)\/\(R\ T\ \) + \(G23\ t23\ xp2\)\/\(R\ T\)\)\/\(G13\ xp1 + G23\ xp2 + xp3\))\)\)\/\(G13\ \ xp1 + G23\ xp2 + xp3\) + \(G21\ xp1\ \((t21\/\(R\ T\) - \(\(G21\ t21\ xp2\)\ \/\(R\ T\) + \(G31\ t31\ xp3\)\/\(R\ T\)\)\/\(xp1 + G21\ xp2 + G31\ \ xp3\))\)\)\/\(xp1 + G21\ xp2 + G31\ xp3\)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(GAMMA3 = Exp[\((t13/\((R\ T)\)\ G13\ x1 + t23/\((R\ T)\)\ G23\ x2)\)/\((G13\ x1 + G23\ x2 + x3)\) + x1\ G31/\((x1 + G21\ x2 + G31\ x3)\)\ \((t31/\((R\ T)\) - \((x2\ t21/\((R\ T)\)\ G21 \ + x3\ t31/\((R\ T)\)\ G31)\)/\((x1 + G21\ x2 + G31\ x3)\))\) + x2\ G32/\((G12\ x1 + x2 + G32\ x3)\)\ \((t32/\((R\ T)\) - \((x1\ t12/\((R\ T)\)\ G12 \ + x3\ t32/\((R\ T)\)\ G32)\)/\((G12\ x1 + x2 + G32\ x3)\))\) + x3/\((G13\ x1 + G23\ x2\ + x3)\) \((\(-\((x1\ t13/\((R\ T)\)\ G13 + x2\ t23/\((R\ T)\)\ G23)\)\)/\((G13\ x1 + G23\ x2\ + x3)\))\)]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\^\(\(\((\(-\(\(G13\ t13\ x1\)\/\(R\ T\)\)\) - \(G23\ \ t23\ x2\)\/\(R\ T\))\)\ x3\)\/\((G13\ x1 + G23\ x2 + x3)\)\^2 + \(\(G13\ t13\ \ x1\)\/\(R\ T\) + \(G23\ t23\ x2\)\/\(R\ T\)\)\/\(G13\ x1 + G23\ x2 + x3\) + \ \(G31\ x1\ \((t31\/\(R\ T\) - \(\(G21\ t21\ x2\)\/\(R\ T\) + \(G31\ t31\ x3\)\ \/\(R\ T\)\)\/\(x1 + G21\ x2 + G31\ x3\))\)\)\/\(x1 + G21\ x2 + G31\ x3\) + \ \(G32\ x2\ \((t32\/\(R\ T\) - \(\(G12\ t12\ x1\)\/\(R\ T\) + \(G32\ t32\ x3\)\ \/\(R\ T\)\)\/\(G12\ x1 + x2 + G32\ x3\))\)\)\/\(G12\ x1 + x2 + G32\ \ x3\)\)\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(GAMMA3p = Exp[\((t13/\((R\ T)\)\ G13\ xp1 + t23/\((R\ T)\)\ G23\ xp2)\)/\((G13\ xp1 + G23\ xp2 + xp3)\) + xp1\ G31/\((xp1 + G21\ xp2 + G31\ xp3)\)\ \((t31/\((R\ T)\) - \((xp2\ t21/\((R\ T)\)\ \ G21 + xp3\ t31/\((R\ T)\)\ G31)\)/\((xp1 + G21\ xp2 + G31\ xp3)\))\) + xp2\ G32/\((G12\ xp1 + xp2 + G32\ xp3)\)\ \((t32/\((R\ T)\) - \((xp1\ t12/\((R\ T)\)\ \ G12 + xp3\ t32/\((R\ T)\)\ G32)\)/\((G12\ xp1 + xp2 + G32\ xp3)\))\) + xp3/\((G13\ xp1 + G23\ xp2\ + xp3)\) \((\(-\((xp1\ t13/\((R\ T)\)\ G13 + xp2\ t23/\((R\ T)\)\ G23)\)\)/\((G13\ xp1 + G23\ xp2\ + xp3)\))\)]\)], "Input"], Cell[BoxData[ \(\[ExponentialE]\^\(\(\((\(-\(\(G13\ t13\ xp1\)\/\(R\ T\)\)\) - \(G23\ \ t23\ xp2\)\/\(R\ T\))\)\ xp3\)\/\((G13\ xp1 + G23\ xp2 + xp3)\)\^2 + \(\(G13\ \ t13\ xp1\)\/\(R\ T\) + \(G23\ t23\ xp2\)\/\(R\ T\)\)\/\(G13\ xp1 + G23\ xp2 + \ xp3\) + \(G31\ xp1\ \((t31\/\(R\ T\) - \(\(G21\ t21\ xp2\)\/\(R\ T\) + \(G31\ \ t31\ xp3\)\/\(R\ T\)\)\/\(xp1 + G21\ xp2 + G31\ xp3\))\)\)\/\(xp1 + G21\ xp2 \ + G31\ xp3\) + \(G32\ xp2\ \((t32\/\(R\ T\) - \(\(G12\ t12\ xp1\)\/\(R\ T\) + \ \(G32\ t32\ xp3\)\/\(R\ T\)\)\/\(G12\ xp1 + xp2 + G32\ xp3\))\)\)\/\(G12\ xp1 \ + xp2 + G32\ xp3\)\)\)], "Output"] }, Open ]], Cell[BoxData[ \(G12 = Exp[\(-a12\)\ t12/\((R\ T)\)]; G21 = Exp[\(-a12\)\ t21/\((R\ T)\)]; G13 = Exp[\(-a13\)\ t13/\((R\ T)\)]; G31 = Exp[\(-a13\)\ t31/\((R\ T)\)]; G32 = Exp[\(-a32\)\ t32/\((R\ T)\)]; G23 = Exp[\(-a32\)\ t23/\((R\ T)\)];\)], "Input"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Gas constant, temperature and binary interaction parameters for the NRTL \ model\ \>", "Subsubtitle", Background->RGBColor[0.996109, 0.996109, 0.621103]], Cell[BoxData[{ \(\(R = 1.987;\)\), "\[IndentingNewLine]", \(a13 = 0.585600018501282; a12 = 0.410400003194809;\), "\[IndentingNewLine]", \(\(a32 = 0.291200011968613;\)\), "\[IndentingNewLine]", \(t31 = 750.318115234375; t13 = 1299.39501953125;\), "\[IndentingNewLine]", \(t23 = 467.125701904297; t32 = \(-304.988403320313\);\), "\[IndentingNewLine]", \(\(t12 = 2316.36303710938;\)\), "\[IndentingNewLine]", \(\(t21 = 935.687927246094;\)\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(T = 273.15 + 15\)], "Input"], Cell[BoxData[ \(288.15`\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Computing Tie lines and LLE curve water = component 1 ethylacetate = component 2 acetone = component 3\ \>", "Subsubtitle", Background->RGBColor[0.996109, 0.996109, 0.621103]], Cell[BoxData[ \(X1 = 0.7; X2 = 0.2;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[1] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, \n\tMaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9668685582716752`, x2 \[Rule] 0.012388890427507862`, xp1 \[Rule] 0.5740880749385077`, xp2 \[Rule] 0.2885172690337957`, L \[Rule] 0.32056563501575575`, Lp \[Rule] 0.6794343649842443`, x3 \[Rule] 0.02074255130081697`, xp3 \[Rule] 0.13739465602769668`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.8; X2 = 0.1;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[2] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, \n\tMaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9505380073721524`, x2 \[Rule] 0.014564956256580016`, xp1 \[Rule] 0.6508954484632632`, xp2 \[Rule] 0.1846215125685305`, L \[Rule] 0.4976080570119356`, Lp \[Rule] 0.5023919429880644`, x3 \[Rule] 0.03489703637126758`, xp3 \[Rule] 0.16448303896820632`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.85; X2 = 0.1;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[3] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9698916754085783`, x2 \[Rule] 0.01198720619288702`, xp1 \[Rule] 0.5562451735004993`, xp2 \[Rule] 0.3156461896661001`, L \[Rule] 0.7101590975493833`, Lp \[Rule] 0.2898409024506167`, x3 \[Rule] 0.01812111839853464`, xp3 \[Rule] 0.1281086368334006`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.9; X2 = 0.1;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[4] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, MaxIterations \[Rule] 100000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9908801040069432`, x2 \[Rule] 0.00911989599305683`, xp1 \[Rule] 0.39007124248857544`, xp2 \[Rule] 0.6099287575114247`, L \[Rule] 0.8487370779164768`, Lp \[Rule] 0.15126292208352324`, x3 \[Rule] \(-1.1369137339659542`*^-17\), xp3 \[Rule] \(-1.232648737252834`*^-16\)}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.65; X2 = 0.25;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[5] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9706797669785057`, x2 \[Rule] 0.011882248959609033`, xp1 \[Rule] 0.551364865938154`, xp2 \[Rule] 0.3232405929992723`, L \[Rule] 0.2352292604367858`, Lp \[Rule] 0.7647707395632142`, x3 \[Rule] 0.01743798406188526`, xp3 \[Rule] 0.1253945410625736`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.65; X2 = 0.35;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[6] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9908801040069432`, x2 \[Rule] 0.009119895993056824`, xp1 \[Rule] 0.3900712424885753`, xp2 \[Rule] 0.6099287575114246`, L \[Rule] 0.4326313644151838`, Lp \[Rule] 0.5673686355848162`, x3 \[Rule] 3.345865263709397`*^-18, xp3 \[Rule] 3.628231192031567`*^-17}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.95; X2 = 0.01;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[7] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9366997875615822`, x2 \[Rule] 0.016488006216367066`, xp1 \[Rule] 0.6979292507293567`, xp2 \[Rule] 0.13296319294181141`, L \[Rule] 1.055702904616591`, Lp \[Rule] \(-0.05570290461659113`\), x3 \[Rule] 0.046812206222050706`, xp3 \[Rule] 0.1691075563288319`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.75; X2 = 0.2;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[8] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9781273283346449`, x2 \[Rule] 0.010882328049423583`, xp1 \[Rule] 0.5000970626958705`, xp2 \[Rule] 0.4071696629315694`, L \[Rule] 0.5227763915119337`, Lp \[Rule] 0.4772236084880664`, x3 \[Rule] 0.010990343615931522`, xp3 \[Rule] 0.09273327437256007`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.75; X2 = 0.15;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[9] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9610192916592436`, x2 \[Rule] 0.0131643484227271`, xp1 \[Rule] 0.605028150349932`, xp2 \[Rule] 0.2440071277429129`, L \[Rule] 0.40723443037619217`, Lp \[Rule] 0.5927655696238078`, x3 \[Rule] 0.025816359918029344`, xp3 \[Rule] 0.15096472190715512`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.65; X2 = 0.3;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[10] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9816067326318294`, x2 \[Rule] 0.010408475460561655`, xp1 \[Rule] 0.4727422095203803`, xp2 \[Rule] 0.4547988889552427`, L \[Rule] 0.3483398476981221`, Lp \[Rule] 0.6516601523018779`, x3 \[Rule] 0.007984791907608965`, xp3 \[Rule] 0.07245890152437699`}\)], "Output"] }, Open ]], Cell[BoxData[ \(X1 = 0.55; X2 = 0.4;\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sol[11] = FindRoot[{\((GAMMA1\ x1 \[Equal] \ GAMMA1p\ xp1)\), \((GAMMA2\ x2 \[Equal] \ GAMMA2p\ xp2)\), \[IndentingNewLine]\((GAMMA3\ x3 \[Equal] \ GAMMA3p\ xp3)\), \[IndentingNewLine]\((x1\ L + xp1\ Lp \[Equal] \ X1)\), \((x2\ L + xp2\ Lp \[Equal] \ X2)\), \((1 \[Equal] \ xp1 + xp2 + xp3)\), \((1 \[Equal] \ x1 + x2 + x3)\), \((L + Lp \[Equal] 1)\)}, {x1, 0.95}, {x2, 0.01}, {xp1, 0.5}, {xp2, 0.4}, {L, 0.05}, {Lp, 0.04}, {x3, 0.01}, {xp3, 0.1}, AccuracyGoal \[Rule] 10, \n\t MaxIterations \[Rule] 10000]\)], "Input"], Cell[BoxData[ \({x1 \[Rule] 0.9835671255323499`, x2 \[Rule] 0.010139221613894746`, xp1 \[Rule] 0.45636529643378787`, xp2 \[Rule] 0.4841957248752523`, L \[Rule] 0.1776069398816651`, Lp \[Rule] 0.8223930601183349`, x3 \[Rule] 0.006293652853755316`, xp3 \[Rule] 0.05943897869095981`}\)], "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[TextData[{ "Plots of ", ButtonBox["Liquid-Liquid Equilibrium Curve", ButtonData:>"curve", ButtonStyle->"Hyperlink"], " and ", ButtonBox["Tie Lines", ButtonData:>"tie", ButtonStyle->"Hyperlink"], " for Water-Benzene-Ethanol Ternary System at 25\[Degree]C. Plait Point is \ shown as a red dot." }], "Subsubtitle", Background->RGBColor[0.996109, 0.996109, 0.621103]], Cell[CellGroupData[{ Cell[BoxData[ \(tbl1 = Table[{x1 /. sol[i], x2 /. sol[i]}, {i, 1, 11}]\)], "Input"], Cell[BoxData[ \({{0.9668685582716752`, 0.012388890427507862`}, {0.9505380073721524`, 0.014564956256580016`}, {0.9698916754085783`, 0.01198720619288702`}, {0.9908801040069432`, 0.00911989599305683`}, {0.9706797669785057`, 0.011882248959609033`}, {0.9908801040069432`, 0.009119895993056824`}, {0.9366997875615822`, 0.016488006216367066`}, {0.9781273283346449`, 0.010882328049423583`}, {0.9610192916592436`, 0.0131643484227271`}, {0.9816067326318294`, 0.010408475460561655`}, {0.9835671255323499`, 0.010139221613894746`}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(tbl2 = Table[{xp1 /. sol[i], xp2 /. sol[i]}, {i, 1, 11}]\)], "Input"], Cell[BoxData[ \({{0.5740880749385077`, 0.2885172690337957`}, {0.6508954484632632`, 0.1846215125685305`}, {0.5562451735004993`, 0.3156461896661001`}, {0.39007124248857544`, 0.6099287575114247`}, {0.551364865938154`, 0.3232405929992723`}, {0.3900712424885753`, 0.6099287575114246`}, {0.6979292507293567`, 0.13296319294181141`}, {0.5000970626958705`, 0.4071696629315694`}, {0.605028150349932`, 0.2440071277429129`}, {0.4727422095203803`, 0.4547988889552427`}, {0.45636529643378787`, 0.4841957248752523`}}\)], "Output"] }, Open ]], Cell[BoxData[ \(tbl1final = Sort[tbl1]; tbl2final = Sort[tbl2];\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(plt1 = ListPlot[tbl1final, AspectRatio \[Rule] 1, PlotJoined \[Rule] True, DisplayFunction \[Rule] Identity]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(plt2 = ListPlot[tbl2final, AspectRatio \[Rule] 1, PlotJoined \[Rule] True, DisplayFunction \[Rule] Identity]\)], "Input"], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Show[plt1, plt2, Graphics[{RGBColor[1, 0, 0], PointSize[0.015], Point[{0.848637294208835, \n0.0357681230623852}], RGBColor[0, 0, 1], Text[acetone, {0, \(-0.1\)}], Text[water, {1.0, \(-0.1\)}], Text[ethylacetate, {0, 1.1}], RGBColor[0, 0, 1]}], PlotRange \[Rule] {{\(-0.2\), 1.2}, {\(-0.2\), 1.2}}, Epilog \[Rule] {{RGBColor[0, 0, 1], \[IndentingNewLine]Line[{{x1 /. sol[1], x2 /. sol[1]}, {xp1 /. sol[1], xp2 /. sol[1]}}], \[IndentingNewLine]Line[{{x1 /. sol[2], x2 /. sol[2]}, {xp1 /. sol[2], xp2 /. sol[2]}}], Line[{{x1 /. sol[3], x2 /. sol[3]}, {xp1 /. sol[3], xp2 /. sol[3]}}], Line[{{x1 /. sol[4], x2 /. sol[4]}, {xp1 /. sol[4], xp2 /. sol[4]}}], Line[{{x1 /. sol[5], x2 /. sol[5]}, {xp1 /. sol[5], xp2 /. sol[5]}}], Line[{{x1 /. sol[6], x2 /. sol[6]}, {xp1 /. sol[6], xp2 /. sol[6]}}], Line[{{x1 /. sol[7], x2 /. sol[7]}, {xp1 /. sol[7], xp2 /. sol[7]}}], Line[{{x1 /. sol[8], x2 /. sol[8]}, {xp1 /. sol[8], xp2 /. sol[8]}}], Line[{{x1 /. sol[9], x2 /. sol[9]}, {xp1 /. sol[9], xp2 /. sol[9]}}], Line[{{x1 /. sol[10], x2 /. sol[10]}, {xp1 /. sol[10], xp2 /. sol[10]}}], Line[{{x1 /. sol[11], x2 /. sol[11]}, {xp1 /. sol[11], xp2 /. sol[11]}}], {RGBColor[0, 1, 0], Line[{{1, 0}, {0, 1}}]}}}, DisplayFunction \[Rule] $DisplayFunction]\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.142857 0.714286 0.142857 0.714286 [ [0 .13036 -12 -9 ] [0 .13036 12 0 ] [.28571 .13036 -9 -9 ] [.28571 .13036 9 0 ] [.42857 .13036 -9 -9 ] [.42857 .13036 9 0 ] [.57143 .13036 -9 -9 ] [.57143 .13036 9 0 ] [.71429 .13036 -9 -9 ] [.71429 .13036 9 0 ] [.85714 .13036 -3 -9 ] [.85714 .13036 3 0 ] [.13036 0 -24 -4.5 ] [.13036 0 0 4.5 ] [.13036 .28571 -18 -4.5 ] [.13036 .28571 0 4.5 ] [.13036 .42857 -18 -4.5 ] [.13036 .42857 0 4.5 ] [.13036 .57143 -18 -4.5 ] [.13036 .57143 0 4.5 ] [.13036 .71429 -18 -4.5 ] [.13036 .71429 0 4.5 ] [.13036 .85714 -6 -4.5 ] [.13036 .85714 0 4.5 ] [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 g .25 Mabswid [ ] 0 setdash 0 .14286 m 0 .14911 L s [(-0.2)] 0 .13036 0 1 Mshowa .28571 .14286 m .28571 .14911 L s [(0.2)] .28571 .13036 0 1 Mshowa .42857 .14286 m .42857 .14911 L s [(0.4)] .42857 .13036 0 1 Mshowa .57143 .14286 m .57143 .14911 L s [(0.6)] .57143 .13036 0 1 Mshowa .71429 .14286 m .71429 .14911 L s [(0.8)] .71429 .13036 0 1 Mshowa .85714 .14286 m .85714 .14911 L s [(1)] .85714 .13036 0 1 Mshowa .125 Mabswid .03571 .14286 m .03571 .14661 L s .07143 .14286 m .07143 .14661 L s .10714 .14286 m .10714 .14661 L s .17857 .14286 m .17857 .14661 L s .21429 .14286 m .21429 .14661 L s .25 .14286 m .25 .14661 L s .32143 .14286 m .32143 .14661 L s .35714 .14286 m .35714 .14661 L s .39286 .14286 m .39286 .14661 L s .46429 .14286 m .46429 .14661 L s .5 .14286 m .5 .14661 L s .53571 .14286 m .53571 .14661 L s .60714 .14286 m .60714 .14661 L s .64286 .14286 m .64286 .14661 L s .67857 .14286 m .67857 .14661 L s .75 .14286 m .75 .14661 L s .78571 .14286 m .78571 .14661 L s .82143 .14286 m .82143 .14661 L s .89286 .14286 m .89286 .14661 L s .92857 .14286 m .92857 .14661 L s .96429 .14286 m .96429 .14661 L s .25 Mabswid 0 .14286 m 1 .14286 L s .14286 0 m .14911 0 L s [(-0.2)] .13036 0 1 0 Mshowa .14286 .28571 m .14911 .28571 L s [(0.2)] .13036 .28571 1 0 Mshowa .14286 .42857 m .14911 .42857 L s [(0.4)] .13036 .42857 1 0 Mshowa .14286 .57143 m .14911 .57143 L s [(0.6)] .13036 .57143 1 0 Mshowa .14286 .71429 m .14911 .71429 L s [(0.8)] .13036 .71429 1 0 Mshowa .14286 .85714 m .14911 .85714 L s [(1)] .13036 .85714 1 0 Mshowa .125 Mabswid .14286 .03571 m .14661 .03571 L s .14286 .07143 m .14661 .07143 L s .14286 .10714 m .14661 .10714 L s .14286 .17857 m .14661 .17857 L s .14286 .21429 m .14661 .21429 L s .14286 .25 m .14661 .25 L s .14286 .32143 m .14661 .32143 L s .14286 .35714 m .14661 .35714 L s .14286 .39286 m .14661 .39286 L s .14286 .46429 m .14661 .46429 L s .14286 .5 m .14661 .5 L s .14286 .53571 m .14661 .53571 L s .14286 .60714 m .14661 .60714 L s .14286 .64286 m .14661 .64286 L s .14286 .67857 m .14661 .67857 L s .14286 .75 m .14661 .75 L s .14286 .78571 m .14661 .78571 L s .14286 .82143 m .14661 .82143 L s .14286 .89286 m .14661 .89286 L s .14286 .92857 m .14661 .92857 L s .14286 .96429 m .14661 .96429 L s .25 Mabswid .14286 0 m .14286 1 L s 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath .5 Mabswid .81193 .15463 m .82181 .15326 L .8293 .15226 L .83348 .15171 L .83564 .15142 L .8362 .15134 L .84152 .15063 L .844 .15029 L .84541 .1501 L .85063 .14937 L .85063 .14937 L s .42148 .57852 m .42148 .57852 L .46883 .48871 L .48053 .46771 L .50007 .43369 L .53669 .37374 L .54018 .36832 L .55292 .34894 L .57502 .31715 L .60778 .27473 L .64138 .23783 L s 1 0 0 r .015 w .74903 .16841 Mdot 0 0 1 r gsave .14286 .07143 -84 -10.2813 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.5625 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 12.813 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 1.000 setrgbcolor (acetone) show 1.000 setlinewidth grestore gsave .85714 .07143 -78 -10.2813 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.5625 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 12.813 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 1.000 setrgbcolor (water) show 1.000 setlinewidth grestore gsave .14286 .92857 -99 -10.2813 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.5625 translate 1 -1 scale /g { setgray} bind def /k { setcmykcolor} bind def /p { gsave} bind def /r { setrgbcolor} bind def /w { setlinewidth} bind def /C { curveto} bind def /F { fill} bind def /L { lineto} bind def /rL { rlineto} bind def /P { grestore} bind def /s { stroke} bind def /S { show} bind def /N {currentpoint 3 -1 roll show moveto} bind def /Msf { findfont exch scalefont [1 0 0 -1 0 0 ] makefont setfont} bind def /m { moveto} bind def /Mr { rmoveto} bind def /Mx {currentpoint exch pop moveto} bind def /My {currentpoint pop exch moveto} bind def /X {0 rmoveto} bind def /Y {0 exch rmoveto} bind def 63.000 12.813 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 1.000 setrgbcolor (ethylacetate) show 1.000 setlinewidth grestore .5 Mabswid .83348 .15171 m .55292 .34894 L s .82181 .15326 m .60778 .27473 L s .83564 .15142 m .54018 .36832 L s .85063 .14937 m .42148 .57852 L s .8362 .15134 m .53669 .37374 L s .85063 .14937 m .42148 .57852 L s .81193 .15463 m .64138 .23783 L s .84152 .15063 m .50007 .43369 L s .8293 .15226 m .57502 .31715 L s .844 .15029 m .48053 .46771 L s .84541 .1501 m .46883 .48871 L s 0 1 0 r .85714 .14286 m .14286 .85714 L s % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{490, 490}, ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgP3oool2000000@0oooo0P0000030?ooo`@00000o`3ooonR0?ooo`00 >@3oool010000000oooo0?ooo`0000080?ooo`030000003oool0oooo0?l0ooooX`3oool003T0oooo 00@000000?ooo`3oool000002@3oool00`000000oooo0?ooo`070?ooo`@00000o`3ooonG0?ooo`00 <`3oool400000080oooo00@000000?ooo`3oool000002P3oool00`000000oooo0?ooo`060?ooo`03 0000003oool0oooo0?l0ooooV03oool003T0oooo00@000000?ooo`3oool00000203oool010000000 oooo0?ooo`0000070?ooo`030000003oool0oooo0?l0ooooV03oool003X0oooo0P00000:0?ooo`80 0000203oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0oooo V03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o 0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3o ool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003o ool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`00 0000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo 00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@ 0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo0P00003o0?oooiT0oooo001@0?ooo`03 0000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03o ool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool0 0500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0 oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3o oonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo 0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo 0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<00000 0?ooo`3oool0o`3ooonH0?ooo`00?03oool50000o`80oooo0`000?l30?ooo`<0003o0`3oool20000 o`@0oooo0P000?l20?ooo`80003o0P3oool20000o`80oooo0`000?oo0?oooc@0oooo00<0003o0?oo o`000?l00P3oool50000o`80oooo0P000?l40?ooo`<0003o0P3oool40000ocP0oooo000l0?ooo`@0 003o0P3oool00`000?l0oooo0?ooo`030?ooo`030000o`3oool0oooo00<0oooo00@0003o0?ooo`00 0000003o0P3oool010000?l0oooo0?ooo`000?l20?ooo`040000o`3oool0oooo0000o`80oooo00<0 003o0?ooo`3oool0o`3ooold0?ooo`060000o`3oool0003o0?ooo`000?l0oooo10000?l20?ooo`04 0000o`3oool0oooo0000o`80oooo00<0003o0?ooo`3oool0103oool00`000?l0oooo0?ooo`0h0?oo o`00?`3oool010000?l0oooo0?ooo`000?l50?ooo`@0003o0P3oool010000?l0oooo000000000002 0?ooo`040000o`3oool0oooo0000o`80oooo00@0003o0?ooo`3oool0003o0P3oool40000ool0oooo <`3oool01@000?l0oooo0000o`3oool0003o00@0oooo00@0003o0?ooo`3oool0003o1@3oool40000 o`<0oooo00<0003o0?ooo`3oool0>03oool003d0oooo0`000?l30?ooo`<0003o0`3oool20000o`80 oooo1@000?l30?ooo`80003o0P3oool40000o`@0oooo0P000?oo0?oooc<0oooo0`000?l00`3oool0 003o0000o`020?ooo`<0003o00<0oooo0000o`000?l00`000?l30?ooo`80003o0`3oool40000ocP0 oooo001>0?ooo`030000o`3oool000000?l0ooooDP3oool00`000?l0oooo0?ooo`150?ooo`00D03o ool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool0 0500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0 oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3o oonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo 0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo 0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<00000 0?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`03 0000003oool0oooo0?l0ooooV03oool00500oooo0P00003o0?oooiT0oooo001@0?ooo`030000003o ool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00203oool20000 00@0oooo0P0000030?ooo`@00000>@3oool00`000000oooo0?ooo`0j0?ooo`800000103oool20000 00<0oooo1000000e0?ooo`800000103oool2000000D0oooo0`00000d0?ooo`800000103oool20000 00<0oooo0`00000f0?ooo`800000103oool2000000@0oooo0P00000k0?ooo`D00000@`3oool000L0 oooo00@000000?ooo`3oool00000203oool00`000000oooo0?ooo`0j0?ooo`030000003oool0oooo 03T0oooo00@000000?ooo`3oool00000203oool00`000000oooo0?ooo`0e0?ooo`040000003oool0 oooo000000/0oooo00<000000?ooo`3oool0@3oool00`000000oooo0?ooo`0i0?ooo`040000003oool0oooo000000T0oooo00<0 00000?ooo`3oool0=03oool010000000oooo0?ooo`0000080?ooo`D00000<`3oool010000000oooo 0?ooo`0000080?ooo`040000003oool0oooo000003@0oooo00@000000?ooo`3oool00000203oool0 10000000oooo0?ooo`00000l0?ooo`030000003oool0oooo04<0oooo00000`3oool0000000000002 00000080oooo00@000000?ooo`3oool000002P3oool00`000000oooo0?ooo`0h0?ooo`030000003o ool0oooo03T0oooo00@000000?ooo`3oool000002P3oool00`000000oooo0?ooo`0c0?ooo`040000 003oool0oooo000000P0oooo00@000000?ooo`3oool00000=03oool010000000oooo0?ooo`000008 0?ooo`<00000=@3oool010000000oooo0?ooo`0000090?ooo`800000?@3oool00`000000oooo0?oo o`130?ooo`001`3oool010000000oooo0?ooo`0000080?ooo`040000003oool0oooo000003T0oooo 00<000000?ooo`3oool0>@3oool010000000oooo0?ooo`0000080?ooo`040000003oool0oooo0000 03@0oooo00@000000?ooo`3oool000002@3oool00`000000oooo0000000d0?ooo`040000003oool0 oooo000000T0oooo00<000000?ooo`3oool0=03oool010000000oooo0?ooo`0000080?ooo`040000 003oool0oooo000003`0oooo00<000000?ooo`3oool0@`3oool000P0oooo0P00000:0?ooo`800000 >P3oool00`000000oooo0?ooo`0j0?ooo`8000002P3oool2000003H0oooo0P00000;0?ooo`800000 =@3oool2000000X0oooo0`00000e0?ooo`8000002P3oool2000003`0oooo0P0000150?ooo`00D03o ool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool0 0500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0 oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3o oonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo 0?l0ooooV03oool000`0ooooo`00002I00000003003o000000000000048000000@3oool000`0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00d0oooo 00<00?l00000003oool03`3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00h0oooo 00<000000?ooo`3oool0403oool000`0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00`0oooo00<00?l00?ooo`000000403oool00`000000oooo0?oo o`0>0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0403oool000`0oooo00<00000 0?ooo`3oool0@@3oool00`000000oooo0?ooo`110?ooo`030000003oool0oooo0440oooo00<00000 0?ooo`3oool0@@3oool00`000000oooo0?ooo`110?ooo`030000003oool0oooo03/0oooo0P000?l0 1@0000000?l00000003oool0000004D0oooo001@0?ooo`030000003oool0oooo0?l0ooooA03oool0 0`000000003o000000020000o`8000000P000?l00`3oool00?l00?ooo`180?ooo`00D03oool00`00 0000oooo0?ooo`3o0?oood00oooo0P0000060000o`80oooo0P000?l00`3oool00?l00?ooo`190?oo o`00D03oool00`000000oooo0?ooo`3o0?oooc`0oooo0P000?l2000000<0003o00<0oooo0000o`00 0?l00P3oool30000o`030?ooo`00o`00oooo04X0oooo001@0?ooo`030000003oool0oooo0?l0oooo >P3oool20000o`80oooo10000?l00`3oool0003o0000o`020?ooo`<0003o00<0oooo003o003oool0 B`3oool00500oooo00<000000?ooo`3oool0o`3ooolh0?ooo`80003o0P3oool20000o`030?ooo`00 0?l0oooo00<0003o0P3oool30000o`030?ooo`00o`00oooo04`0oooo001@0?ooo`030000003oool0 oooo0?l0oooo7P3oool30?l001D0oooo0P000?l30?ooo`050000o`3oool0003o0000o`3oool00P00 0?l30?ooo`80003o0P3oool00`00o`00oooo0?ooo`1<0?ooo`00D03oool00`000000oooo0?ooo`3o 0?oooad0oooo1@3o000B0?ooo`80003o0`3oool20000o`030?ooo`000?l0oooo00<0003o0`3oool2 0000o`80oooo00<00?l00?ooo`3oool0C@3oool00500oooo00<000000?ooo`3oool0o`3ooolL0?oo o`L0o`003`3oool20000o`<0oooo0P000?l0103oool0003o0000o`3oool30000o`80oooo0`000?l2 0?ooo`03003o003oool0oooo04h0oooo001@0?ooo`030000003oool0oooo0?l0oooo703oool70?l0 00d0oooo0P000?l30?ooo`80003o00@0oooo0000o`000?l0oooo0`000?l30?ooo`<0003o0P3oool0 0`00o`00oooo0?ooo`1?0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooa`0oooo1`3o000;0?oo o`80003o0`3oool20000o`80oooo00<0003o0?ooo`3oool00`000?l30?ooo`<0003o0P3oool00`00 o`00oooo0?ooo`1@0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooad0oooo1@3o000:0?ooo`80 003o103oool00`000?l0oooo0?ooo`020000o`80oooo0`000?l30?ooo`<0003o0P3oool00`00o`00 oooo0?ooo`1A0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooah0oooo0`3o00090?ooo`80003o 103oool20000o`80oooo00<0003o0?ooo`3oool00`000?l40?ooo`030000o`3oool0003o0080oooo 00<00?l00?ooo`3oool0DP3oool00500oooo00<000000?ooo`3oool0o`3ooolW0?ooo`<0003o103o ool20000o`80oooo0P000?l20?ooo`<0003o0`3oool20000o`050?ooo`000?l0oooo0?ooo`00o`00 E@3oool00500oooo0P00003o0?ooobH0oooo0P000?l50?ooo`80003o0`3oool00`000?l0oooo0?oo o`040000o`<0oooo10000?l20?ooo`03003o003oool0oooo05@0oooo001@0?ooo`030000003oool0 oooo0?l0oooo8`3oool20000o`H0oooo00@0003o0?ooo`3oool0oooo0P000?l20?ooo`030000o`3o ool0003o00@0oooo0`000?l30?ooo`03003o003oool0oooo05D0oooo001@0?ooo`030000003oool0 oooo0?l0oooo8@3oool20000o`H0oooo0P000?l30?ooo`030000o`3oool0oooo00@0003o103oool3 0000o`<0oooo00<00?l00?ooo`3oool0EP3oool00500oooo00<000000?ooo`3oool0o`3ooolO0?oo o`80003o1P3oool20000o`<0oooo0P000?l20?ooo`040000o`3oool0003o0000o`@0oooo0`000?l3 0?ooo`03003o003oool0oooo05L0oooo001@0?ooo`030000003oool0oooo0?l0oooo7@3oool20000 o`H0oooo0P000?l40?ooo`070000o`3oool0oooo0?ooo`000?l0oooo0000o`040?ooo`@0003o0`3o ool00`00o`00oooo0?ooo`1H0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooa/0oooo0P000?l6 0?ooo`80003o103oool20000o`80oooo10000?l40?ooo`80003o00<0oooo0000o`3oool00P3oool0 0`00o`00oooo0?ooo`1I0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooaT0oooo0P000?l70?oo o`030000o`3oool0oooo00<0oooo00H0003o0?ooo`3oool0oooo0000o`3oool20000o`@0oooo0P00 0?l00`3oool0003o0?ooo`020?ooo`03003o003oool0oooo05X0oooo001@0?ooo`030000003oool0 oooo0?l0oooo5`3oool20000o`L0oooo0P000?l40?ooo`80003o0P3oool40000o`D0oooo0P000?l0 0`3oool0003o0?ooo`020?ooo`03003o003oool0oooo05/0oooo001@0?ooo`030000003oool0oooo 0?l0oooo5@3oool20000o`L0oooo0P000?l50?ooo`060000o`3oool0oooo0?ooo`000?l0oooo0P00 0?l50?ooo`80003o00<0oooo0000o`3oool00P3oool00`00o`00oooo0?ooo`1L0?ooo`00D03oool0 0`000000oooo0?ooo`3o0?oooa80oooo0`000?l70?ooo`80003o1@3oool20000o`80oooo0P000?l0 0`3oool0003o0000o`040?ooo`D0003o0`3oool00`00o`00oooo0?ooo`1M0?ooo`00D03oool00`00 0000oooo0?ooo`3o0?oooa00oooo0P000?l90?ooo`030000o`3oool0oooo00@0oooo00H0003o0?oo o`3oool0oooo0000o`3oool20000o`D0oooo00@0003o0?ooo`000?l0003o103oool00`00o`00oooo 0?ooo`1N0?ooo`00D03oool00`000000oooo0?ooo`3o0?ooo`h0oooo0P000?l90?ooo`80003o1@3o ool20000o`<0oooo00@0003o0?ooo`000?l0003o1@3oool40000o`@0oooo00<00?l00?ooo`3oool0 G`3oool00500oooo00<000000?ooo`3oool0o`3oool<0?ooo`80003o2@3oool20000o`D0oooo0P00 0?l30?ooo`80003o00<0oooo0000o`000?l01@3oool20000o`030?ooo`000?l0oooo00<0oooo00<0 0?l00?ooo`3oool0H03oool00500oooo00<000000?ooo`3oool0o`3oool:0?ooo`80003o2@3oool2 0000o`H0oooo00<0003o0?ooo`3oool00P3oool010000?l0oooo0000o`000?l60?ooo`80003o00<0 oooo0000o`3oool00`3oool00`00o`00oooo0?ooo`1Q0?ooo`00D03oool00`000000oooo0?ooo`3o 0?ooo`P0oooo0P000?l90?ooo`80003o1P3oool20000o`<0oooo0P000?l00`3oool0003o0000o`05 0?ooo`<0003o00<0oooo0000o`3oool00`3oool00`00o`00oooo0?ooo`1R0?ooo`00D03oool00`00 0000oooo0?ooo`3o0?ooo`H0oooo0P000?l:0?ooo`030000o`3oool0oooo00D0oooo00<0003o0?oo o`3oool00P3oool00`000?l0oooo0000o`020000o`D0oooo00D0003o0?ooo`000?l0oooo0000o`04 0?ooo`03003o003oool0oooo06<0oooo001@0?ooo`030000003oool0oooo0?l0oooo103oool20000 o`X0oooo0P000?l60?ooo`80003o0`3oool20000o`030?ooo`000?l0003o00H0oooo00D0003o0?oo o`000?l0oooo0000o`040?ooo`03003o003oool0oooo06@0oooo001@0?ooo`800000o`3oool30?oo o`80003o2P3oool20000o`L0oooo00<0003o0?ooo`3oool00P3oool00`000?l0oooo0?ooo`020000 o`H0oooo00D0003o0?ooo`000?l0oooo0000o`040?ooo`03003o003oool0oooo06D0oooo001@0?oo o`030000003oool0oooo0?h0oooo0`000?l:0?ooo`80003o1`3oool20000o`@0oooo00<0003o0?oo o`000?l00P000?l50?ooo`80003o00@0oooo0000o`000?l0003o103oool00`00o`00oooo0?ooo`1V 0?ooo`00D03oool00`000000oooo0?ooo`3l0?ooo`80003o303oool00`000?l0oooo0?ooo`060?oo o`030000o`3oool0oooo0080oooo0P000?l00`3oool0003o0000o`060?ooo`030000o`3oool0003o 0080003o1@3oool00`00o`00oooo0?ooo`1W0?ooo`00D03oool00`000000oooo0?ooo`3j0?ooo`80 003o303oool20000o`L0oooo0P000?l40?ooo`030000o`3oool0oooo0080003o1P3oool01@000?l0 oooo0000o`3oool0003o00D0oooo00<00?l00?ooo`3oool0J03oool00500oooo00<000000?ooo`3o ool0n03oool20000o``0oooo0P000?l80?ooo`030000o`3oool0oooo0080oooo0P000?l0103oool0 003o0000o`000?l60?ooo`050000o`3oool0003o0?ooo`000?l01@3oool00`00o`00oooo0?ooo`1Y 0?ooo`00D03oool00`000000oooo0?ooo`3f0?ooo`80003o303oool20000o`P0oooo0P000?l40?oo o`030000o`3oool0oooo0080003o1`3oool01@000?l0oooo0000o`3oool0003o00D0oooo00<00?l0 0?ooo`3oool0JP3oool00500oooo00<000000?ooo`3oool0m03oool20000o``0oooo0P000?l90?oo o`030000o`3oool0oooo0080oooo0P000?l20?ooo`80003o1P3oool20000o`040?ooo`000?l0oooo 0000o`D0oooo00<00?l00?ooo`3oool0J`3oool00500oooo00<000000?ooo`3oool0lP3oool20000 o`d0oooo00<0003o0?ooo`3oool01`3oool20000o`@0oooo00<0003o0?ooo`3oool00`000?l60?oo o`060000o`3oool0oooo0000o`3oool0003o1@3oool00`00o`00oooo0?ooo`1/0?ooo`00D03oool0 0`000000oooo0?ooo`3`0?ooo`80003o3@3oool20000o`T0oooo00<0003o0?ooo`3oool00`3oool0 0`000?l0oooo0?ooo`020000o`L0oooo00H0003o0?ooo`3oool0003o0?ooo`000?l50?ooo`03003o 003oool0oooo06d0oooo001@0?ooo`030000003oool0oooo0>h0oooo0P000?l=0?ooo`80003o2@3o ool20000o`@0oooo0P000?l0103oool0003o0000o`000?l70?ooo`060000o`3oool0003o0000o`3o ool0003o1@3oool00`00o`00oooo0?ooo`1^0?ooo`00D03oool00`000000oooo0?ooo`3/0?ooo`80 003o3@3oool20000o`T0oooo0P000?l50?ooo`030000o`3oool0oooo00<0003o1`3oool010000?l0 oooo0000o`3oool20000o`D0oooo00<00?l00?ooo`3oool0K`3oool00500oooo00<000000?ooo`3o ool0jP3oool20000o`h0oooo00<0003o0?ooo`3oool0203oool00`000?l0oooo0?ooo`030?ooo`80 003o0P3oool20000o`L0oooo0P000?l0103oool0003o0?ooo`000?l60?ooo`03003o003oool0oooo 0700oooo001@0?ooo`030000003oool0oooo0>T0oooo00<000000?ooo`3oool0303oool20000o`T0 oooo0P000?l50?ooo`030000o`3oool0oooo00<0003o1`3oool01P000?l0oooo0?ooo`000?l0oooo 0000o`H0oooo00<00?l00?ooo`3oool0L@3oool00500oooo00<000000?ooo`3oool0j03oool00`00 0000oooo0?ooo`0;0?ooo`80003o2P3oool00`000?l0oooo0?ooo`030?ooo`80003o0P3oool30000 o`L0oooo00H0003o0?ooo`3oool0003o0?ooo`000?l60?ooo`03003o003oool0oooo0780oooo001@ 0?ooo`030000003oool0oooo0>L0oooo00<000000?ooo`3oool02P3oool20000o`X0oooo0P000?l5 0?ooo`040000o`3oool0oooo0?ooo`80003o203oool01P000?l0oooo0?ooo`000?l0oooo0000o`H0 oooo00<00?l00?ooo`3oool0L`3oool00500oooo00<000000?ooo`3oool0iP3oool00`000000oooo 0?ooo`090?ooo`80003o2`3oool00`000?l0oooo0?ooo`040?ooo`030000o`3oool0oooo00<0003o 203oool01P000?l0oooo0?ooo`000?l0oooo0000o`H0oooo00<00?l00?ooo`3oool0M03oool00500 oooo00<000000?ooo`3oool0iP3oool00`000000oooo0?ooo`080?ooo`030000o`3oool0oooo00T0 oooo0P000?l50?ooo`80003o0P3oool30000o`L0oooo0P000?l01@3oool0003o0000o`3oool0003o 00H0oooo00<00?l00?ooo`3oool0M@3oool00500oooo0P00003V0?ooo`030000003oool0oooo00L0 oooo0P000?l;0?ooo`030000o`3oool0oooo00@0oooo00<0003o0?ooo`3oool00`000?l80?ooo`04 0000o`3oool0oooo0000o`80oooo00<0003o0?ooo`3oool0103oool00`00o`00oooo0?ooo`1f0?oo o`00D03oool00`000000oooo0?ooo`3T0?ooo`030000003oool0oooo00H0oooo0P000?l;0?ooo`80 003o1@3oool20000o`80oooo00<0003o0?ooo`000?l0203oool010000?l0oooo0?ooo`000?l20?oo o`030000o`3oool0oooo00@0oooo00<00?l00?ooo`3oool0M`3oool00500oooo00<000000?ooo`3o ool0h`3oool00`000000oooo0?ooo`050?ooo`80003o303oool00`000?l0oooo0?ooo`040?ooo`04 0000o`3oool0oooo0?ooo`<0003o203oool01@000?l0oooo0?ooo`000?l0oooo0080003o1P3oool0 0`00o`00oooo0?ooo`1h0?ooo`00D03oool00`000000oooo0?ooo`3R0?ooo`030000003oool0oooo 00D0oooo00<0003o0?ooo`3oool02P3oool20000o`H0oooo00<0003o0?ooo`3oool00`000?l90?oo o`060000o`3oool0oooo0000o`3oool0003o1`3oool00`00o`00oooo0?ooo`1i0?ooo`00D03oool0 0`000000oooo0?ooo`3Q0?ooo`030000003oool0oooo00@0oooo0P000?l<0?ooo`030000o`3oool0 oooo00@0oooo0P000?l20?ooo`030000o`3oool0003o00P0oooo0P000?l20?ooo`030000o`3oool0 003o00L0oooo00<00?l00?ooo`3oool0NP3oool00500oooo00<000000?ooo`3oool0h03oool00`00 0000oooo0?ooo`030?ooo`80003o303oool20000o`H0oooo00@0003o0?ooo`3oool0oooo0`000?l8 0?ooo`070000o`3oool0oooo0?ooo`000?l0oooo0000o`070?ooo`03003o003oool0oooo07/0oooo 001@0?ooo`030000003oool0oooo0=l0oooo00<000000?ooo`3oool00P3oool20000o`d0oooo00<0 003o0?ooo`3oool0103oool20000o`80oooo0`000?l90?ooo`030000o`3oool0oooo0080003o00<0 oooo0000o`3oool01P3oool00`00o`00oooo0?ooo`1l0?ooo`00D03oool00`000000oooo0?ooo`3N 0?ooo`040000003oool0oooo0?ooo`80003o3@3oool20000o`H0oooo00@0003o0?ooo`3oool0oooo 0`000?l90?ooo`040000o`3oool0oooo0000o`80oooo00<0003o0?ooo`3oool01@3oool00`00o`00 oooo0?ooo`1m0?ooo`00D03oool00`000000oooo0?ooo`3N0?ooo`040000003oool0oooo0000o`d0 oooo0P000?l60?ooo`80003o0`3oool20000o`T0oooo0P000?l20?ooo`040000o`3oool0oooo0000 o`L0oooo00<00?l00?ooo`3oool0OP3oool00500oooo00<000000?ooo`3oool0g@3oool010000000 oooo0000o`000?l=0?ooo`030000o`3oool0oooo00D0oooo00@0003o0?ooo`3oool0oooo0`000?l9 0?ooo`050000o`3oool0oooo0?ooo`000?l00P3oool00`000?l0oooo0?ooo`050?ooo`03003o003o ool0oooo07l0oooo001@0?ooo`030000003oool0oooo0=`0oooo00<000000000o`000?l03@3oool2 0000o`L0oooo00@0003o0?ooo`3oool0oooo0`000?l90?ooo`050000o`3oool0oooo0?ooo`000?l0 0P3oool00`000?l0oooo0?ooo`050?ooo`03003o003oool0oooo0800oooo001@0?ooo`030000003o ool0oooo0=/0oooo0P000?l>0?ooo`030000o`3oool0oooo00D0oooo0P000?l20?ooo`<0003o2P3o ool01P000?l0oooo0?ooo`3oool0003o0?ooo`80003o1`3oool00`00o`00oooo0?ooo`210?ooo`00 D03oool00`000000oooo0?ooo`3J0?ooo`030000o`3oool0oooo00`0oooo0P000?l70?ooo`070000 o`3oool0oooo0?ooo`000?l0oooo0000o`0:0?ooo`070000o`3oool0oooo0?ooo`000?l0oooo0000 o`080?ooo`03003o003oool0oooo0880oooo001@0?ooo`030000003oool0oooo0=T0oooo00<00000 0?ooo`3oool0303oool00`000?l0oooo0?ooo`050?ooo`80003o0`3oool30000o`T0oooo0P000?l3 0?ooo`030000o`3oool0003o00P0oooo00<00?l00?ooo`3oool0P`3oool00500oooo00<000000?oo o`3oool0f03oool00`000000oooo0?ooo`0;0?ooo`80003o1`3oool010000?l0oooo0?ooo`3oool3 0000o`X0oooo00@0003o0?ooo`3oool0oooo0P000?l00`3oool0003o0?ooo`070?ooo`03003o003o ool0oooo08@0oooo000j0?ooo`800000103oool2000000<0oooo100000070?ooo`030000003oool0 oooo0=P0oooo00<000000?ooo`3oool02P3oool00`000?l0oooo0?ooo`050?ooo`80003o0`3oool0 0`000?l0oooo0000o`0:0?ooo`050000o`3oool0oooo0?ooo`000?l00P3oool00`000?l0oooo0?oo o`060?ooo`03003o003oool0oooo08D0oooo000i0?ooo`040000003oool0oooo000000P0oooo00<0 00000?ooo`3oool0203oool00`000000oooo0?ooo`3G0?ooo`030000003oool0oooo00T0oooo0P00 0?l70?ooo`030000o`3oool0oooo0080oooo0`000?l:0?ooo`050000o`3oool0oooo0?ooo`000?l0 0P3oool00`000?l0oooo0?ooo`060?ooo`03003o003oool0oooo08H0oooo000i0?ooo`040000003o ool0oooo000000T0oooo00<000000?ooo`3oool01`3oool400000=D0oooo00<000000?ooo`3oool0 2@3oool00`000?l0oooo0?ooo`060?ooo`040000o`3oool0oooo0?ooo`<0003o2`3oool01@000?l0 oooo0?ooo`3oool0003o0080oooo00<0003o0?ooo`3oool01P3oool00`00o`00oooo0?ooo`270?oo o`00>@3oool010000000oooo0?ooo`00000:0?ooo`030000003oool0oooo00H0oooo00<000000?oo o`3oool0e@3oool00`000000oooo0?ooo`080?ooo`80003o1`3oool20000o`<0oooo00<0003o0?oo o`000?l02P3oool20000o`<0oooo00@0003o0?ooo`3oool0003o203oool00`00o`00oooo0?ooo`28 0?ooo`00>@3oool010000000oooo0?ooo`0000080?ooo`040000003oool0oooo000000L0oooo00<0 00000?ooo`3oool0e@3oool00`000000oooo0?ooo`070?ooo`030000o`3oool0oooo00H0oooo00@0 003o0?ooo`3oool0oooo10000?l:0?ooo`030000o`3oool0oooo0080oooo00@0003o0?ooo`3oool0 003o203oool00`00o`00oooo0?ooo`290?ooo`00>P3oool2000000X0oooo0P0000080?ooo`030000 003oool0oooo0=@0oooo00<000000?ooo`3oool01P3oool20000o`L0oooo0P000?l30?ooo`030000 o`3oool0003o00/0oooo00<0003o0?ooo`3oool00P3oool010000?l0oooo0000o`000?l80?ooo`03 003o003oool0oooo08X0oooo001@0?ooo`030000003oool0oooo0=<0oooo00<000000?ooo`3oool0 1P3oool00`000?l0oooo0?ooo`060?ooo`030000o`3oool0oooo0080oooo00<0003o0?ooo`000?l0 2`3oool010000?l0oooo0?ooo`3oool20000o`030?ooo`000?l0oooo00P0oooo00<00?l00?ooo`3o ool0R`3oool00500oooo00<000000?ooo`3oool0dP3oool00`000000oooo0?ooo`050?ooo`80003o 1`3oool20000o`<0oooo10000?l;0?ooo`050000o`3oool0oooo0?ooo`000?l00P3oool00`000?l0 oooo0?ooo`070?ooo`03003o003oool0oooo08`0oooo001@0?ooo`030000003oool0oooo0=80oooo 00<000000?ooo`3oool0103oool00`000?l0oooo0?ooo`060?ooo`030000o`3oool0oooo0080oooo 00<0003o0?ooo`000?l02`3oool20000o`<0oooo00@0003o0?ooo`3oool0003o2@3oool00`00o`00 oooo0?ooo`2=0?ooo`00D03oool00`000000oooo0?ooo`3A0?ooo`030000003oool0oooo00<0oooo 0P000?l80?ooo`030000o`3oool0oooo0080oooo00<0003o0?ooo`000?l02`3oool00`000?l0oooo 0?ooo`020?ooo`040000o`3oool0oooo0000o`T0oooo00<00?l00?ooo`3oool0SP3oool00500oooo 00<000000?ooo`3oool0d03oool00`000000oooo0?ooo`020?ooo`80003o203oool20000o`<0oooo 10000?l;0?ooo`030000o`3oool0oooo0080oooo00@0003o0?ooo`3oool0003o2@3oool00`00o`00 oooo0?ooo`2?0?ooo`00D03oool00`000000oooo0?ooo`3?0?ooo`030000003oool0oooo0080oooo 00<0003o0?ooo`3oool01`3oool00`000?l0oooo0?ooo`020?ooo`030000o`3oool0003o00`0oooo 00<0003o0?ooo`3oool00P3oool010000?l0oooo0?ooo`000?l90?ooo`03003o003oool0oooo0900 oooo001@0?ooo`030000003oool0oooo00?ooo`040000 003oool0oooo0000o`T0oooo00<0003o0?ooo`3oool00P3oool40000o`/0oooo0P000?l30?ooo`80 003o0P3oool00`000?l0oooo0?ooo`070?ooo`03003o003oool0oooo0980oooo001@0?ooo`030000 003oool0oooo00?ooo`030000o`3o ool0oooo00<0oooo00D0003o0?ooo`3oool0oooo0000o`0;0?ooo`03003o003oool0oooo0:@0oooo 001@0?ooo`030000003oool0oooo0<00oooo00<0003o0?ooo`3oool00`3oool20000o`030?ooo`00 0?l0oooo00d0oooo0P000?l50?ooo`030000o`3oool0oooo0080003o2`3oool00`00o`00oooo0?oo o`2U0?ooo`00D03oool00`000000oooo0?ooo`2o0?ooo`030000003oool0oooo00<0oooo00@0003o 0?ooo`3oool0003o3P3oool00`000?l0oooo0?ooo`040?ooo`040000o`3oool0oooo0000o``0oooo 00<00?l00?ooo`3oool0YP3oool00500oooo00<000000?ooo`3oool0_`3oool010000000oooo0?oo o`3oool20000o`030?ooo`000?l0003o00h0oooo00<0003o0?ooo`3oool0103oool010000?l0oooo 0?ooo`000?l<0?ooo`03003o003oool0oooo0:L0oooo001@0?ooo`030000003oool0oooo0;h0oooo 00D000000?ooo`3oool0oooo0000o`020?ooo`030000o`3oool0oooo00d0oooo00<0003o0?ooo`3o ool00`3oool20000o`80oooo00<0003o0?ooo`3oool02P3oool00`00o`00oooo0?ooo`2X0?ooo`00 D03oool200000;h0oooo00D000000?ooo`3oool0oooo0000o`020?ooo`030000o`3oool0oooo00d0 oooo00<0003o0?ooo`3oool00`3oool01@000?l0oooo0?ooo`3oool0003o00`0oooo00<00?l00?oo o`3oool0Z@3oool00500oooo00<000000?ooo`3oool0_@3oool01@000000oooo0000o`000?l0oooo 0080003o3P3oool20000o`D0oooo00D0003o0?ooo`3oool0oooo0000o`0<0?ooo`03003o003oool0 oooo0:X0oooo001@0?ooo`030000003oool0oooo0;`0oooo00<000000?ooo`000?l00P3oool00`00 0?l0oooo0?ooo`0=0?ooo`030000o`3oool0oooo00@0oooo00D0003o0?ooo`3oool0oooo0000o`0< 0?ooo`03003o003oool0oooo0:/0oooo001@0?ooo`030000003oool0oooo0;/0oooo00<000000?oo o`000?l00P3oool00`000?l0oooo0?ooo`0=0?ooo`030000o`3oool0oooo00@0oooo00D0003o0?oo o`3oool0oooo0000o`0<0?ooo`03003o003oool0oooo0:`0oooo001@0?ooo`030000003oool0oooo 0;/0oooo0P000?l00`3oool0003o0000o`0?0?ooo`030000o`3oool0oooo00@0oooo00D0003o0?oo o`3oool0oooo0000o`0<0?ooo`03003o00000?l0oooo0:d0oooo001@0?ooo`030000003oool0oooo 0;X0oooo00@0003o0?ooo`3oool0003o403oool00`000?l0oooo0?ooo`040?ooo`030000o`3oool0 oooo0080003o303oool00`00o`00003o0?ooo`2^0?ooo`00D03oool00`000000oooo0?ooo`2j0?oo o`030000003oool0003o00l0oooo0P000?l50?ooo`80003o0P3oool00`000?l0oooo0?ooo`0;0?oo o`03003o00000?l0oooo0:l0oooo001@0?ooo`030000003oool0oooo0;T0oooo00<000000000o`00 0?l03`3oool00`000?l0oooo0?ooo`040?ooo`050000o`3oool0oooo0?ooo`000?l03@3oool00`00 o`00003o0?ooo`2`0?ooo`00D03oool00`000000oooo0?ooo`2i0?ooo`030000o`3oool0oooo00h0 oooo00<0003o0?ooo`3oool0103oool01@000?l0oooo0?ooo`3oool0003o00d0oooo00<00?l00000 o`3oool0/@3oool00500oooo00<000000?ooo`3oool0^03oool00`000000oooo0?ooo`0>0?ooo`03 0000o`3oool0oooo00@0oooo00D0003o0?ooo`3oool0oooo0000o`0=0?ooo`03003o00000?l0oooo 0;80oooo001@0?ooo`030000003oool0oooo0;P0oooo00<000000?ooo`3oool0303oool20000o`H0 oooo00D0003o0?ooo`3oool0oooo0000o`0=0?ooo`03003o00000?l0oooo0;<0oooo001@0?ooo`03 0000003oool0oooo0;L0oooo00<000000?ooo`3oool0303oool00`000?l0oooo0?ooo`050?ooo`05 0000o`3oool0oooo0?ooo`000?l03@3oool00`00o`00003o0?ooo`2d0?ooo`00D03oool00`000000 oooo0?ooo`2g0?ooo`030000003oool0oooo00/0oooo00<0003o0?ooo`3oool01@3oool01@000?l0 oooo0?ooo`3oool0003o00d0oooo00<00?l00000o`3oool0]@3oool00500oooo00<000000?ooo`3o ool0]P3oool00`000000oooo0?ooo`0;0?ooo`030000o`3oool0oooo00@0oooo0P000?l30?ooo`03 0000o`3oool0oooo00/0oooo00<00?l00000o`3oool0]P3oool00500oooo00<000000?ooo`3oool0 ]@3oool00`000000oooo0?ooo`0;0?ooo`030000o`3oool0oooo00@0oooo00@0003o0?ooo`3oool0 oooo0P000?l=0?ooo`03003o00000?l0oooo0;L0oooo001@0?ooo`030000003oool0oooo0;D0oooo 00<000000?ooo`3oool02@3oool20000o`H0oooo00D0003o0?ooo`3oool0oooo0000o`0>0?ooo`03 003o00000?l0oooo0;P0oooo001@0?ooo`030000003oool0oooo0;@0oooo00<000000?ooo`3oool0 2@3oool00`000?l0oooo0?ooo`050?ooo`050000o`3oool0oooo0?ooo`000?l03P3oool00`00o`00 003o0?ooo`2i0?ooo`00D03oool200000;@0oooo00<000000?ooo`3oool02@3oool00`000?l0oooo 0?ooo`050?ooo`050000o`3oool0oooo0?ooo`000?l03P3oool00`00o`00003o0?ooo`2j0?ooo`00 D03oool00`000000oooo0?ooo`2c0?ooo`030000003oool0oooo00P0oooo00<0003o0?ooo`3oool0 1@3oool01@000?l0oooo0?ooo`3oool0003o00h0oooo00<00?l00000o`3oool0^`3oool00500oooo 00<000000?ooo`3oool0/P3oool00`000000oooo0?ooo`080?ooo`030000o`3oool0oooo00D0oooo 00D0003o0?ooo`3oool0oooo0000o`0>0?ooo`03003o00000?l0oooo0;`0oooo001@0?ooo`030000 003oool0oooo0;80oooo00<000000?ooo`3oool01P3oool20000o`H0oooo0P000?l30?ooo`030000 o`3oool0oooo00`0oooo00<00?l00000o`3oool0_@3oool00500oooo00<000000?ooo`3oool0/@3o ool00`000000oooo0?ooo`060?ooo`030000o`3oool0oooo00D0oooo00<0003o0?ooo`3oool00P3o ool00`000?l0oooo0?ooo`0<0?ooo`03003o00000?l0oooo0;h0oooo001@0?ooo`030000003oool0 oooo0;00oooo00<000000?ooo`3oool01P3oool00`000?l0oooo0?ooo`050?ooo`030000o`3oool0 oooo0080oooo00<0003o0?ooo`3oool0303oool00`00o`00003o0?ooo`2o0?ooo`00D03oool00`00 0000oooo0?ooo`2`0?ooo`030000003oool0oooo00D0oooo00<0003o0?ooo`3oool01@3oool01000 0?l0oooo0?ooo`3oool20000o`h0oooo00<00?l00000o`3oool0`03oool00500oooo00<000000?oo o`3oool0[`3oool00`000000oooo0?ooo`050?ooo`030000o`3oool0oooo00D0oooo00D0003o0?oo o`3oool0oooo0000o`0?0?ooo`03003o00000?l0oooo0<40oooo001@0?ooo`030000003oool0oooo 0:h0oooo00<000000?ooo`3oool0103oool20000o`L0oooo00D0003o0?ooo`3oool0oooo0000o`0? 0?ooo`03003o00000?l0oooo0<80oooo001@0?ooo`030000003oool0oooo0:h0oooo00<000000?oo o`3oool00`3oool00`000?l0oooo0?ooo`060?ooo`050000o`3oool0oooo0?ooo`000?l03`3oool0 0`00o`00003o0?ooo`330?ooo`00D03oool00`000000oooo0?ooo`2]0?ooo`030000003oool0oooo 00<0oooo00<0003o0?ooo`3oool01P3oool01@000?l0oooo0?ooo`3oool0003o00l0oooo00<00?l0 0000o`3oool0a03oool00500oooo00<000000?ooo`3oool0[@3oool00`000000oooo0?ooo`020?oo o`030000o`3oool0oooo00D0oooo0P000?l30?ooo`030000o`3oool0oooo00d0oooo00<00?l00000 o`3oool0a@3oool00500oooo00<000000?ooo`3oool0[03oool00`000000oooo0?ooo`020?ooo`03 0000o`3oool0oooo00D0oooo00<0003o0?ooo`3oool00P3oool00`000?l0oooo0?ooo`0=0?ooo`03 003o00000?l0oooo00?ooo`03003o00000?l0oooo00?ooo`03003o00000?l0oooo0=40oooo001@0?ooo`03 0000003oool0oooo0:D0oooo00<000000?ooo`3oool0103oool010000?l0oooo0?ooo`3oool20000 oa00oooo00<00?l00000o`3oool0dP3oool00500oooo00<000000?ooo`3oool0Y03oool00`000000 oooo0?ooo`030?ooo`80003o0`3oool00`000?l0oooo0?ooo`0?0?ooo`03003o00000?l0oooo0=<0 oooo001@0?ooo`030000003oool0oooo0:@0oooo00<000000?ooo`3oool00P3oool00`000?l0oooo 0?ooo`020?ooo`030000o`3oool0oooo00l0oooo00<00?l00000o`3oool0e03oool00500oooo00<0 00000?ooo`3oool0X`3oool00`000000oooo0?ooo`020?ooo`030000o`3oool0oooo0080oooo00<0 003o0?ooo`3oool03`3oool00`00o`00003o0?ooo`3E0?ooo`00D03oool00`000000oooo0?ooo`2R 0?ooo`030000003oool0oooo0080oooo00<0003o0?ooo`3oool00P3oool00`000?l0oooo0?ooo`0? 0?ooo`03003o00000?l0oooo0=H0oooo001@0?ooo`030000003oool0oooo0:80oooo00D000000?oo o`3oool0oooo0000o`040?ooo`030000o`3oool0oooo00l0oooo00<00?l00000o`3oool0e`3oool0 0500oooo00<000000?ooo`3oool0X@3oool01@000000oooo0?ooo`3oool0003o00@0oooo00<0003o 0?ooo`3oool03`3oool00`00o`00003o0?ooo`3H0?ooo`00D03oool00`000000oooo0?ooo`2Q0?oo o`040000003oool0oooo0000o`@0oooo00<0003o0?ooo`3oool03`3oool00`00o`00003o0?ooo`3I 0?ooo`00D03oool00`000000oooo0?ooo`2P0?ooo`040000003oool0003o0000o`@0oooo00<0003o 0?ooo`3oool03`3oool00`00o`00003o0?ooo`3J0?ooo`00D03oool00`000000oooo0?ooo`2P0?oo o`03000000000?l0oooo00<0oooo0P000?lA0?ooo`03003o00000?l0oooo0=/0oooo001@0?ooo`80 0000X03oool00`000000003o0?ooo`030?ooo`030000o`3oool0oooo0100oooo00<00?l00000o`3o ool0g03oool00500oooo00<000000?ooo`3oool0W`3oool00`000?l0oooo0?ooo`020?ooo`030000 o`3oool0oooo0100oooo00<00?l00000o`3oool0g@3oool00500oooo00<000000?ooo`3oool0WP3o ool00`000?l0oooo0?ooo`020?ooo`030000o`3oool0oooo0100oooo00<00?l00000o`3oool0gP3o ool00500oooo00<000000?ooo`3oool0W@3oool00`000000oooo0?ooo`020?ooo`030000o`3oool0 oooo0100oooo00<00?l00000o`3oool0g`3oool00500oooo00<000000?ooo`3oool0W@3oool01@00 0000oooo0?ooo`3oool0003o0180oooo00<00?l00000o`3oool0h03oool00500oooo00<000000?oo o`3oool0W03oool01@000000oooo0?ooo`3oool0003o0180oooo00<00?l00000o`3oool0h@3oool0 0500oooo00<000000?ooo`3oool0W03oool010000000oooo0?ooo`000?lB0?ooo`03003o00000?l0 oooo0>80oooo001@0?ooo`030000003oool0oooo09/0oooo00@000000?ooo`3oool0003o4P3oool0 0`00o`00003o0?ooo`3S0?ooo`00D03oool00`000000oooo0?ooo`2J0?ooo`040000003oool0003o 0000oa80oooo00<00?l00000o`3oool0i03oool00500oooo00<000000?ooo`3oool0VP3oool00`00 0000003o0?ooo`0B0?ooo`03003o00000?l0oooo0>D0oooo001@0?ooo`030000003oool0oooo09T0 oooo00<000000000o`3oool04P3oool00`00o`00003o0?ooo`3V0?ooo`00D03oool00`000000oooo 0?ooo`2I0?ooo`030000o`3oool0oooo0140oooo00<00?l00000o`3oool0i`3oool00500oooo00<0 00000?ooo`3oool0V03oool00`000?l0oooo0?ooo`0A0?ooo`03003o00000?l0oooo0>P0oooo001@ 0?ooo`030000003oool0oooo09L0oooo00<000000?ooo`3oool04@3oool00`00o`00003o0?ooo`3Y 0?ooo`00D03oool00`000000oooo0?ooo`2G0?ooo`030000003oool0oooo0100oooo00<00?l00000 o`3oool0jP3oool00500oooo00<000000?ooo`3oool0UP3oool00`000000oooo0?ooo`0@0?ooo`03 003o00000?l0oooo0>/0oooo001@0?ooo`030000003oool0oooo09H0oooo00<000000?ooo`3oool0 3`3oool00`00o`00003o0?ooo`3/0?ooo`00D03oool2000009H0oooo00<000000?ooo`3oool03`3o ool00`00o`00003o0?ooo`3]0?ooo`00D03oool00`000000oooo0?ooo`2E0?ooo`030000003oool0 oooo00l0oooo00<00?l00?ooo`3oool0k@3oool00500oooo00<000000?ooo`3oool0U03oool00`00 0000oooo0?ooo`0?0?ooo`03003o003oool0oooo0>h0oooo001@0?ooo`030000003oool0oooo09@0 oooo00<000000?ooo`3oool03P3oool00`00o`00oooo0?ooo`3_0?ooo`00D03oool00`000000oooo 0?ooo`2C0?ooo`030000003oool0oooo00h0oooo00<00?l00?ooo`3oool0l03oool00500oooo00<0 00000?ooo`3oool0T`3oool00`000000oooo0?ooo`0=0?ooo`03003o003oool0oooo0?40oooo001@ 0?ooo`030000003oool0oooo0980oooo00<000000?ooo`3oool03@3oool00`00o`00oooo0?ooo`3b 0?ooo`00D03oool00`000000oooo0?ooo`2B0?ooo`030000003oool0oooo00`0oooo00<00?l00?oo o`3oool0l`3oool00500oooo00<000000?ooo`3oool0T@3oool00`000000oooo0?ooo`0<0?ooo`03 003o003oool0oooo0?@0oooo001@0?ooo`030000003oool0oooo0940oooo00<000000?ooo`3oool0 2`3oool00`00o`00oooo0?ooo`3e0?ooo`00D03oool00`000000oooo0?ooo`2@0?ooo`030000003o ool0oooo00/0oooo00<00?l00?ooo`3oool0mP3oool00500oooo00<000000?ooo`3oool0T03oool0 0`000000oooo0?ooo`0:0?ooo`03003o003oool0oooo0?L0oooo001@0?ooo`030000003oool0oooo 08l0oooo00<000000?ooo`3oool02P3oool00`00o`00oooo0?ooo`3h0?ooo`00D03oool00`000000 oooo0?ooo`2?0?ooo`030000003oool0oooo00T0oooo00<00?l00?ooo`3oool0n@3oool00500oooo 00<000000?ooo`3oool0SP3oool00`000000oooo0?ooo`090?ooo`03003o003oool0oooo0?X0oooo 001@0?ooo`030000003oool0oooo08h0oooo00<000000?ooo`3oool0203oool00`00o`00oooo0?oo o`3k0?ooo`00D03oool00`000000oooo0?ooo`2=0?ooo`030000003oool0oooo00P0oooo00<00?l0 0?ooo`3oool0o03oool00500oooo0P00002>0?ooo`030000003oool0oooo00L0oooo00<00?l00?oo o`3oool0o@3oool00500oooo00<000000?ooo`3oool0S03oool00`000000oooo0?ooo`070?ooo`03 003o003oool0oooo0?h0oooo001@0?ooo`030000003oool0oooo08`0oooo00<000000?ooo`3oool0 1P3oool00`00o`00oooo0?ooo`3o0?ooo`00D03oool00`000000oooo0?ooo`2;0?ooo`030000003o ool0oooo00H0oooo00<00?l00?ooo`3oool0o`3oool10?ooo`00D03oool00`000000oooo0?ooo`2; 0?ooo`030000003oool0oooo00D0oooo00<00?l00?ooo`3oool0o`3oool20?ooo`00D03oool00`00 0000oooo0?ooo`2:0?ooo`030000003oool0oooo00D0oooo00<00?l00?ooo`3oool0o`3oool30?oo o`00D03oool00`000000oooo0?ooo`2:0?ooo`030000003oool0oooo00@0oooo00<00?l00?ooo`3o ool0o`3oool40?ooo`00D03oool00`000000oooo0?ooo`290?ooo`030000003oool0oooo00@0oooo 00<00?l00?ooo`3oool0o`3oool50?ooo`00D03oool00`000000oooo0?ooo`290?ooo`030000003o ool0oooo00<0oooo00<00?l00?ooo`3oool0o`3oool60?ooo`00D03oool00`000000oooo0?ooo`28 0?ooo`030000003oool0oooo00<0oooo00<00?l00?ooo`3oool0o`3oool70?ooo`00D03oool00`00 0000oooo0?ooo`280?ooo`030000003oool0oooo0080oooo00<00?l00?ooo`3oool0o`3oool80?oo o`00D03oool00`000000oooo0?ooo`270?ooo`030000003oool0oooo0080oooo00<00?l00?ooo`3o ool0o`3oool90?ooo`00D03oool00`000000oooo0?ooo`270?ooo`050000003oool0oooo0?ooo`00 o`00o`3oool<0?ooo`00D03oool00`000000oooo0?ooo`260?ooo`050000003oool0oooo0?ooo`00 o`00o`3oool=0?ooo`00D03oool00`000000oooo0?ooo`260?ooo`040000003oool0oooo003o0?l0 oooo3P3oool003X0oooo0P0000040?ooo`8000000`3oool3000000P0oooo00<000000?ooo`3oool0 Q@3oool010000000oooo0?ooo`00o`3o0?ooo`l0oooo000i0?ooo`040000003oool0oooo000000P0 oooo00@000000?ooo`3oool000001`3oool00`000000oooo0?ooo`250?ooo`030000003oool00?l0 0?l0oooo403oool003T0oooo00@000000?ooo`3oool00000203oool010000000oooo0?ooo`000007 0?ooo`@00000P`3oool00`000000oooo003o003o0?oooa40oooo000i0?ooo`040000003oool0oooo 000000P0oooo0`0000080?ooo`030000003oool0oooo08@0oooo00<00000003o003oool0o`3ooolA 0?ooo`00>@3oool010000000oooo0?ooo`0000090?ooo`030000003oool0oooo00L0oooo00<00000 0?ooo`3oool0P`3oool00`0000000?l00?ooo`3o0?oooa80oooo000j0?ooo`8000002P3oool30000 00L0oooo00<000000?ooo`3oool0PP3oool00`0000000?l00?ooo`3o0?oooa<0oooo001@0?ooo`03 0000003oool0oooo0880oooo00<00?l00?ooo`3oool0o`3ooolC0?ooo`00D03oool00`000000oooo 0?ooo`210?ooo`03003o003oool0oooo0?l0oooo503oool00500oooo00<000000?ooo`3oool0P03o ool00`00o`00oooo0?ooo`3o0?oooaD0oooo001@0?ooo`030000003oool0oooo07l0oooo00<00?l0 0?ooo`3oool0o`3ooolF0?ooo`00D03oool00`000000oooo0?ooo`1n0?ooo`03003o003oool0oooo 0?l0oooo5`3oool00500oooo00<000000?ooo`3oool0O@3oool00`00o`00oooo0?ooo`3o0?oooaP0 oooo001@0?ooo`030000003oool0oooo07`0oooo00<00?l00?ooo`3oool0o`3ooolI0?ooo`00D03o ool00`000000oooo0?ooo`1k0?ooo`03003o003oool0oooo0?l0oooo6P3oool00500oooo00<00000 0?ooo`3oool0NP3oool00`00o`00oooo0?ooo`3o0?oooa/0oooo001@0?ooo`030000003oool0oooo 07T0oooo00<00?l00?ooo`3oool0o`3ooolL0?ooo`00D03oool00`000000oooo0?ooo`1h0?ooo`03 003o003oool0oooo0?l0oooo7@3oool00500oooo00<000000?ooo`3oool0M`3oool00`00o`00oooo 0?ooo`3o0?oooah0oooo001@0?ooo`030000003oool0oooo07H0oooo00<00?l00?ooo`3oool0o`3o oolO0?ooo`00D03oool2000007H0oooo00<00?l00?ooo`3oool0o`3ooolP0?ooo`00D03oool00`00 0000oooo0?ooo`1d0?ooo`03003o003oool0oooo0?l0oooo8@3oool00500oooo00<000000?ooo`3o ool0L`3oool00`00o`00oooo0?ooo`3o0?ooob80oooo001@0?ooo`030000003oool0oooo0780oooo 00<00?l00?ooo`3oool0o`3ooolS0?ooo`00D03oool00`000000oooo0?ooo`1a0?ooo`03003o003o ool0oooo0?l0oooo903oool00500oooo00<000000?ooo`3oool0L03oool00`00o`00oooo0?ooo`3o 0?ooobD0oooo001@0?ooo`030000003oool0oooo06l0oooo00<00?l00?ooo`3oool0o`3ooolV0?oo o`00D03oool00`000000oooo0?ooo`1^0?ooo`03003o003oool0oooo0?l0oooo9`3oool00500oooo 00<000000?ooo`3oool0K@3oool00`00o`00oooo0?ooo`3o0?ooobP0oooo001@0?ooo`030000003o ool0oooo06`0oooo00<00?l00?ooo`3oool0o`3ooolY0?ooo`00D03oool00`000000oooo0?ooo`1[ 0?ooo`03003o003oool0oooo0?l0oooo:P3oool00500oooo00<000000?ooo`3oool0JP3oool00`00 o`00oooo0?ooo`3o0?ooob/0oooo001@0?ooo`030000003oool0oooo06T0oooo00<00?l00?ooo`3o ool0o`3oool/0?ooo`00D03oool00`000000oooo0?ooo`1X0?ooo`03003o003oool0oooo0?l0oooo ;@3oool00500oooo00<000000?ooo`3oool0I`3oool00`00o`00oooo0?ooo`3o0?ooobh0oooo001@ 0?ooo`030000003oool0oooo06H0oooo00<00?l00?ooo`3oool0o`3oool_0?ooo`00D03oool00`00 0000oooo0?ooo`1U0?ooo`03003o003oool0oooo0?l0oooo<03oool00500oooo0P00001U0?ooo`03 003o003oool0oooo0?l0oooo<@3oool00500oooo00<000000?ooo`3oool0H`3oool00`00o`00oooo 0?ooo`3o0?oooc80oooo001@0?ooo`030000003oool0oooo0680oooo00<00?l00?ooo`3oool0o`3o oolc0?ooo`00D03oool00`000000oooo0?ooo`1Q0?ooo`03003o003oool0oooo0?l0oooo=03oool0 0500oooo00<000000?ooo`3oool0H03oool00`00o`00oooo0?ooo`3o0?ooocD0oooo001@0?ooo`03 0000003oool0oooo05l0oooo00<00?l00?ooo`3oool0o`3ooolf0?ooo`00D03oool00`000000oooo 0?ooo`1N0?ooo`03003o003oool0oooo0?l0oooo=`3oool00500oooo00<000000?ooo`3oool0G@3o ool00`00o`00oooo0?ooo`3o0?ooocP0oooo001@0?ooo`030000003oool0oooo05`0oooo00<00?l0 0?ooo`3oool0o`3oooli0?ooo`00D03oool00`000000oooo0?ooo`1K0?ooo`03003o003oool0oooo 0?l0oooo>P3oool00500oooo00<000000?ooo`3oool0FP3oool00`00o`00oooo0?ooo`3o0?oooc/0 oooo001@0?ooo`030000003oool0oooo05T0oooo00<00?l00?ooo`3oool0o`3oooll0?ooo`00D03o ool00`000000oooo0?ooo`1H0?ooo`03003o003oool0oooo0?l0oooo?@3oool00500oooo00<00000 0?ooo`3oool0E`3oool00`00o`00oooo0?ooo`3o0?oooch0oooo001@0?ooo`030000003oool0oooo 05H0oooo00<00?l00?ooo`3oool0o`3ooolo0?ooo`00D03oool00`000000oooo0?ooo`1E0?ooo`03 003o003oool0oooo0?l0oooo@03oool00500oooo00<000000?ooo`3oool0E03oool00`00o`00oooo 0?ooo`3o0?oood40oooo001@0?ooo`800000E03oool00`00o`00oooo0?ooo`3o0?oood80oooo001@ 0?ooo`030000003oool0oooo0580oooo00<00?l00?ooo`3oool0o`3ooom30?ooo`00D03oool00`00 0000oooo0?ooo`1A0?ooo`03003o003oool0oooo0?l0ooooA03oool00500oooo00<000000?ooo`3o ool0D03oool00`00o`00oooo0?ooo`3o0?ooodD0oooo001@0?ooo`030000003oool0oooo04l0oooo 00<00?l00?ooo`3oool0o`3ooom60?ooo`00D03oool00`000000oooo0?ooo`1>0?ooo`03003o003o ool0oooo0?l0ooooA`3oool00500oooo00<000000?ooo`3oool0C@3oool00`00o`00oooo0?ooo`3o 0?ooodP0oooo001@0?ooo`030000003oool0oooo04`0oooo00<00?l00?ooo`3oool0o`3ooom90?oo o`00D03oool00`000000oooo0?ooo`1;0?ooo`03003o003oool0oooo0?l0ooooBP3oool00500oooo 00<000000?ooo`3oool0BP3oool00`00o`00oooo0?ooo`3o0?oood/0oooo001@0?ooo`030000003o ool0oooo04T0oooo00<00?l00?ooo`3oool0o`3ooom<0?ooo`00D03oool00`000000oooo0?ooo`18 0?ooo`03003o003oool0oooo0?l0ooooC@3oool00500oooo00<000000?ooo`3oool0A`3oool00`00 o`00oooo0?ooo`3o0?ooodh0oooo001@0?ooo`030000003oool0oooo04H0oooo00<00?l00?ooo`3o ool0o`3ooom?0?ooo`00D03oool00`000000oooo0?ooo`150?ooo`03003o003oool0oooo0?l0oooo D03oool003X0oooo0P0000040?ooo`800000103oool2000000P0oooo00<000000?ooo`3oool0A03o ool00`00o`00oooo0?ooo`3o0?oooe40oooo000i0?ooo`040000003oool0oooo000000P0oooo00@0 00000?ooo`3oool000001`3oool00`000000oooo0?ooo`130?ooo`03003o003oool0oooo0?l0oooo DP3oool003T0oooo00@000000?ooo`3oool00000203oool010000000oooo0?ooo`0000070?ooo`@0 0000@@3oool00`00o`00oooo0?ooo`3o0?oooe<0oooo000i0?ooo`040000003oool0oooo000000T0 oooo0P0000080?ooo`030000003oool0oooo0440oooo00<00?l00?ooo`3oool0o`3ooomD0?ooo`00 >@3oool010000000oooo0?ooo`0000080?ooo`040000003oool0oooo000000L0oooo00<000000?oo o`3oool0@03oool00`00o`00oooo0?ooo`3o0?oooeD0oooo000j0?ooo`8000002P3oool2000000P0 oooo00<000000?ooo`3oool0?`3oool00`00o`00oooo0?ooo`3o0?oooeH0oooo001@0?ooo`030000 003oool0oooo03h0oooo00<00?l00?ooo`3oool0o`3ooomG0?ooo`00D03oool00`000000oooo0?oo o`0m0?ooo`03003o003oool0oooo0?l0ooooF03oool00500oooo00<000000?ooo`3oool0?03oool0 0`00o`00oooo0?ooo`3o0?oooeT0oooo001@0?ooo`030000003oool0oooo03/0oooo00<00?l00?oo o`3oool0o`3ooomJ0?ooo`00D03oool00`000000oooo0?ooo`0j0?ooo`03003o003oool0oooo0?l0 ooooF`3oool00500oooo00<000000?ooo`3oool0>@3oool00`00o`00oooo0?ooo`3o0?oooe`0oooo 001@0?ooo`030000003oool0oooo03P0oooo00<00?l00?ooo`3oool0o`3ooomM0?ooo`00D03oool0 0`000000oooo0?ooo`0g0?ooo`03003o003oool0oooo0?l0ooooGP3oool00500oooo00<000000?oo o`3oool0=P3oool00`00o`00oooo0?ooo`3o0?oooel0oooo001@0?ooo`030000003oool0oooo03D0 oooo00<00?l00?ooo`3oool0o`3ooomP0?ooo`00D03oool00`000000oooo0?ooo`0d0?ooo`03003o 003oool0oooo0?l0ooooH@3oool00500oooo00<000000?ooo`3oool0<`3oool00`00o`00oooo0?oo o`3o0?ooof80oooo001@0?ooo`030000003oool0oooo0380oooo00<00?l00?ooo`3oool0o`3ooomS 0?ooo`00D03oool200000380oooo00<00?l00?ooo`3oool0o`3ooomT0?ooo`00D03oool00`000000 oooo0?ooo`0`0?ooo`03003o003oool0oooo0?l0ooooI@3oool00500oooo00<000000?ooo`3oool0 ;`3oool00`00o`00oooo0?ooo`3o0?ooofH0oooo001@0?ooo`030000003oool0oooo02h0oooo00<0 0?l00?ooo`3oool0o`3ooomW0?ooo`00D03oool00`000000oooo0?ooo`0]0?ooo`03003o003oool0 oooo0?l0ooooJ03oool00500oooo00<000000?ooo`3oool0;03oool00`00o`00oooo0?ooo`3o0?oo ofT0oooo001@0?ooo`030000003oool0oooo02/0oooo00<00?l00?ooo`3oool0o`3ooomZ0?ooo`00 D03oool00`000000oooo0?ooo`0Z0?ooo`03003o003oool0oooo0?l0ooooJ`3oool00500oooo00<0 00000?ooo`3oool0:@3oool00`00o`00oooo0?ooo`3o0?ooof`0oooo001@0?ooo`030000003oool0 oooo02P0oooo00<00?l00?ooo`3oool0o`3ooom]0?ooo`00D03oool00`000000oooo0?ooo`0W0?oo o`03003o003oool0oooo0?l0ooooKP3oool00500oooo00<000000?ooo`3oool09P3oool00`00o`00 oooo0?ooo`3o0?ooofl0oooo001@0?ooo`030000003oool0oooo02D0oooo00<00?l00?ooo`3oool0 o`3ooom`0?ooo`00D03oool00`000000oooo0?ooo`0T0?ooo`03003o003oool0oooo0?l0ooooL@3o ool00500oooo00<000000?ooo`3oool08`3oool00`00o`00oooo0?ooo`3o0?ooog80oooo001@0?oo o`030000003oool0oooo0280oooo00<00?l00?ooo`3oool0o`3ooomc0?ooo`00D03oool00`000000 oooo0?ooo`0Q0?ooo`03003o003oool0oooo0?l0ooooM03oool00500oooo00<000000?ooo`3oool0 803oool00`00o`00oooo0?ooo`3o0?ooogD0oooo001@0?ooo`800000803oool00`00o`00oooo0?oo o`3o0?ooogH0oooo001@0?ooo`030000003oool0oooo01h0oooo00<00?l00?ooo`3oool0o`3ooomg 0?ooo`00D03oool00`000000oooo0?ooo`0M0?ooo`03003o003oool0oooo0?l0ooooN03oool00500 oooo00<000000?ooo`3oool0703oool00`00o`00oooo0?ooo`3o0?ooogT0oooo001@0?ooo`030000 003oool0oooo01/0oooo00<00?l00?ooo`3oool0o`3ooomj0?ooo`00D03oool00`000000oooo0?oo o`0J0?ooo`03003o003oool0oooo0?l0ooooN`3oool00500oooo00<000000?ooo`3oool06@3oool0 0`00o`00oooo0?ooo`3o0?ooog`0oooo001@0?ooo`030000003oool0oooo01P0oooo00<00?l00?oo o`3oool0o`3ooomm0?ooo`00D03oool00`000000oooo0?ooo`0G0?ooo`03003o003oool0oooo0?l0 ooooOP3oool00500oooo00<000000?ooo`3oool05P3oool00`00o`00oooo0?ooo`3o0?ooogl0oooo 001@0?ooo`030000003oool0oooo01D0oooo00<00?l00?ooo`3oool0o`3ooon00?ooo`00D03oool0 0`000000oooo0?ooo`0D0?ooo`03003o003oool0oooo0?l0ooooP@3oool00500oooo00<000000?oo o`3oool04`3oool00`00o`00oooo0?ooo`3o0?oooh80oooo001@0?ooo`030000003oool0oooo0180 oooo00<00?l00?ooo`3oool0o`3ooon30?ooo`00D03oool00`000000oooo0?ooo`0A0?ooo`03003o 003oool0oooo0?l0ooooQ03oool00500oooo00<000000?ooo`3oool0403oool00`00o`00oooo0?oo o`3o0?ooohD0oooo001@0?ooo`030000003oool0oooo00l0oooo00<00?l00?ooo`3oool0o`3ooon6 0?ooo`00D03oool2000000l0oooo00<00?l00?ooo`3oool0o`3ooon70?ooo`00D03oool00`000000 oooo0?ooo`0=0?ooo`03003o003oool0oooo0?l0ooooR03oool00500oooo00<000000?ooo`3oool0 303oool00`00o`00oooo0?ooo`3o0?ooohT0oooo001@0?ooo`030000003oool0oooo00/0oooo00<0 0?l00?ooo`3oool0o`3ooon:0?ooo`00D03oool00`000000oooo0?ooo`0:0?ooo`03003o003oool0 oooo0?l0ooooR`3oool00500oooo00<000000?ooo`3oool02@3oool00`00o`00oooo0?ooo`3o0?oo oh`0oooo001@0?ooo`030000003oool0oooo00P0oooo00<00?l00?ooo`3oool0o`3ooon=0?ooo`00 D03oool00`000000oooo0?ooo`070?ooo`03003o003oool0oooo0?l0ooooSP3oool00500oooo00<0 00000?ooo`3oool01P3oool00`00o`00oooo0?ooo`3o0?ooohl0oooo001@0?ooo`030000003oool0 oooo00D0oooo00<00?l00?ooo`3oool0o`3ooon@0?ooo`00D03oool00`000000oooo0?ooo`040?oo o`03003o003oool0oooo0?l0ooooT@3oool00500oooo00<000000?ooo`3oool00`3oool00`00o`00 oooo0?ooo`3o0?oooi80oooo001@0?ooo`030000003oool0oooo0080oooo00<00?l00?ooo`3oool0 o`3ooonC0?ooo`00D03oool01@000000oooo0?ooo`3oool00?l00?l0ooooUP3oool00500oooo00@0 00000?ooo`3oool00?l0o`3ooonG0?ooo`00A@3oool5000000H0oooo00<000000?ooo`00o`00o`3o oonH0?ooo`00A`3oool00`000000oooo0?ooo`060?ooo`0300000000o`00oooo0?l0ooooV03oool0 04L0oooo00<000000?ooo`3oool01P3oool01000o`00000000000000003o0?oooiL0oooo00170?oo o`030000003oool0oooo00H0oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00A`3oool00`000000 oooo0?ooo`060?ooo`030000003oool0oooo0?l0ooooV03oool004H0oooo0P0000080?ooo`030000 003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool0 0`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500 oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo 001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH 0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0 ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?oo o`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?oo o`3oool0o`3ooonH0?ooo`00D03oool200000?l0ooooV@3oool00500oooo00<000000?ooo`3oool0 o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0 oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000 oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<0 00000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?oo o`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00 D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03o ool003l0oooo0P000?l?0?ooo`030000003oool0oooo0?l0ooooV03oool00400oooo00<0003o0?oo o`3oool03@3oool00`000000oooo0?ooo`3o0?oooiP0oooo000^0?ooo`<0003o0`3oool20000o`80 oooo0`000?l00`3oool0003o0000o`030?ooo`040000o`3oool0oooo0?ooo`<0003o0`3oool50000 o`030000003oool0003o0080003o0`3oool30000o`<0oooo0P000?l30?ooo`D0003o0P3oool20000 o`@0oooo0`000?oo0?ooogP0oooo000]0?ooo`030000o`3oool0oooo00<0oooo00@0003o0?ooo`3o ool0003o0P3oool010000?l0oooo0?ooo`000?l30?ooo`030000o`3oool0003o00<0oooo00<0003o 0?ooo`3oool00P3oool40000o`030?ooo`000000003o00D0oooo00<0003o0?ooo`3oool00`3oool0 10000?l0oooo0?ooo`000?l20?ooo`@0003o0P3oool010000?l0oooo0?ooo`000?l20?ooo`030000 o`3oool0oooo0?l0ooooN@3oool002d0oooo10000?l20?ooo`030000o`3oool0oooo00<0oooo00@0 003o0?ooo`3oool0003o0P3oool010000?l0oooo0?ooo`000?l30?ooo`030000o`3oool0oooo00D0 oooo00@0003o0?ooo`000000003o1@3oool40000o`80oooo00<0003o0?ooo`3oool01P3oool01000 0?l0oooo0?ooo`000?l50?ooo`@0003oo`3ooomh0?ooo`00;P3oool20000o`80oooo1@000?l20?oo o`<0003o0P3oool30000o`030?ooo`000?l0003o0080oooo00<0003o0?ooo`3oool00`3oool30000 o`030?ooo`000000oooo00<0003o0`3oool20000o`80oooo1@000?l30?ooo`<0003o00<0oooo0000 o`000?l00`000?l30?ooo`80003oo`3ooomi0?ooo`00<`3oool00`000?l0oooo0?ooo`030?ooo`03 0000o`3oool0oooo00X0oooo00<0003o0?ooo`3oool01`3oool00`000000oooo0?ooo`0:0?ooo`03 0000o`3oool0oooo00T0oooo00<0003o0?ooo`3oool0o`3ooomo0?ooo`00>03oool20000o`/0oooo 0P000?l90?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3o oonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo 0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo 0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<00000 0?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`03 0000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03o ool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool0 0500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool200000?l0ooooV@3oool00500oooo 00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@ 0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?oo o`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0oooo V03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o 0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3o ool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003o ool0oooo0?l0ooooV03oool00500oooo00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`00 0000oooo0?ooo`3o0?oooiP0oooo001@0?ooo`030000003oool0oooo0?l0ooooV03oool00500oooo 00<000000?ooo`3oool0o`3ooonH0?ooo`00D03oool00`000000oooo0?ooo`3o0?oooiP0oooo003o 0?ooon/0oooo003o0?ooon/0oooo003o0?ooon/0oooo0000\ \>"], ImageRangeCache->{{{0, 489}, {489, 0}} -> {-0.235227, -0.224221, \ 0.00293504, 0.00293504}}], Cell[BoxData[ TagBox[\(\[SkeletonIndicator] Graphics \[SkeletonIndicator]\), False, Editable->False]], "Output"] }, Open ]] }, Closed]] }, Open ]] }, FrontEndVersion->"5.2 for Microsoft Windows", ScreenRectangle->{{0, 800}, {0, 517}}, CellGrouping->Manual, WindowSize->{792, 483}, WindowMargins->{{7, Automatic}, {Automatic, 12}} ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1776, 53, 570, 14, 273, "Title"], Cell[2349, 69, 59, 1, 30, "Input"], Cell[CellGroupData[{ Cell[2433, 74, 117, 4, 66, "Subsubtitle"], Cell[CellGroupData[{ Cell[2575, 82, 818, 15, 130, "Input"], Cell[3396, 99, 576, 8, 68, "Output"], Cell[CellGroupData[{ Cell[3997, 111, 834, 15, 130, "Input"], Cell[4834, 128, 605, 8, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5476, 141, 768, 14, 130, "Input"], Cell[6247, 157, 576, 8, 68, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6860, 170, 801, 14, 130, "Input"], Cell[7664, 186, 605, 8, 70, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[8306, 199, 723, 13, 130, "Input"], Cell[9032, 214, 576, 8, 68, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[9645, 227, 756, 13, 130, "Input"], Cell[10404, 242, 605, 8, 70, "Output"] }, Open ]], Cell[11024, 253, 269, 4, 70, "Input"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[11342, 263, 165, 4, 48, "Subsubtitle"], Cell[11510, 269, 498, 10, 150, "Input"], Cell[CellGroupData[{ Cell[12033, 283, 48, 1, 30, "Input"], Cell[12084, 286, 41, 1, 29, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[12174, 293, 188, 6, 108, "Subsubtitle"], Cell[12365, 301, 52, 1, 30, "Input"], Cell[CellGroupData[{ Cell[12442, 306, 633, 10, 110, "Input"], Cell[13078, 318, 325, 5, 48, "Output"] }, Open ]], Cell[13418, 326, 52, 1, 30, "Input"], Cell[CellGroupData[{ Cell[13495, 331, 633, 10, 110, "Input"], Cell[14131, 343, 324, 5, 48, "Output"] }, Open ]], Cell[14470, 351, 53, 1, 30, "Input"], Cell[CellGroupData[{ Cell[14548, 356, 629, 10, 110, "Input"], Cell[15180, 368, 322, 5, 48, "Output"] }, Open ]], Cell[15517, 376, 52, 1, 30, "Input"], Cell[CellGroupData[{ Cell[15594, 381, 630, 10, 110, "Input"], Cell[16227, 393, 342, 5, 48, "Output"] }, Open ]], Cell[16584, 401, 54, 1, 30, "Input"], Cell[CellGroupData[{ Cell[16663, 406, 667, 11, 130, "Input"], Cell[17333, 419, 322, 5, 48, "Output"] }, Open ]], Cell[17670, 427, 54, 1, 30, "Input"], Cell[CellGroupData[{ Cell[17749, 432, 667, 11, 130, "Input"], Cell[18419, 445, 330, 5, 48, "Output"] }, Open ]], Cell[18764, 453, 54, 1, 30, "Input"], Cell[CellGroupData[{ Cell[18843, 458, 667, 11, 130, "Input"], Cell[19513, 471, 330, 5, 48, "Output"] }, Open ]], Cell[19858, 479, 53, 1, 30, "Input"], Cell[CellGroupData[{ Cell[19936, 484, 667, 11, 130, "Input"], Cell[20606, 497, 325, 5, 48, "Output"] }, Open ]], Cell[20946, 505, 54, 1, 30, "Input"], Cell[CellGroupData[{ Cell[21025, 510, 667, 11, 130, "Input"], Cell[21695, 523, 323, 5, 48, "Output"] }, Open ]], Cell[22033, 531, 53, 1, 30, "Input"], Cell[CellGroupData[{ Cell[22111, 536, 668, 11, 130, "Input"], Cell[22782, 549, 325, 5, 48, "Output"] }, Open ]], Cell[23122, 557, 53, 1, 30, "Input"], Cell[CellGroupData[{ Cell[23200, 562, 668, 11, 130, "Input"], Cell[23871, 575, 326, 5, 48, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[24246, 586, 396, 12, 68, "Subsubtitle"], Cell[CellGroupData[{ Cell[24667, 602, 87, 1, 30, "Input"], Cell[24757, 605, 626, 11, 67, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[25420, 621, 89, 1, 30, "Input"], Cell[25512, 624, 609, 11, 67, "Output"] }, Open ]], Cell[26136, 638, 80, 1, 30, "Input"], Cell[CellGroupData[{ Cell[26241, 643, 157, 3, 30, "Input"], Cell[26401, 648, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[26568, 656, 157, 3, 30, "Input"], Cell[26728, 661, 130, 3, 29, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[26895, 669, 1718, 32, 350, "Input"], Cell[28616, 703, 60174, 1077, 498, 6995, 416, "GraphicsData", "PostScript", \ "Graphics"], Cell[88793, 1782, 130, 3, 29, "Output"] }, Open ]] }, Closed]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)