(************** Content-type: application/mathematica ************** 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). 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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[ 720017, 23035]*) (*NotebookOutlinePosition[ 720932, 23065]*) (* CellTagsIndexPosition[ 720888, 23061]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[ RowBox[{ StyleBox["6.6", FontSize->18], StyleBox[" ", FontSize->18], RowBox[{ StyleBox["Mathematica", FontSize->18, FontSlant->"Italic"], StyleBox[":", FontSize->18], StyleBox["\:504f\:5fae\:5206\:65b9\:7a0b\:5f0f", FontSize->18]}]}]], "Input"], Cell[BoxData[""], "Input"], Cell[BoxData[ \(\:5b9a\:6570\:4fc2\:6570\:ff11\:968e\:7dda\:5f62\:504f\:5fae\:5206\:65b9\ \:7a0b\:5f0f\:306e\:4e00\:822c\:89e3\)], "Input", CellDingbat->"\[FilledSquare]", Background->RGBColor[0.613291, 0.964858, 0.851575]], Cell[BoxData[ \(hb[a_, b_, c_, fun_] := Module[\[IndentingNewLine]{}, DSolve[a\ D[u[x, y], x] + b\ D[u[x, y], y] + c\ u[x, y] \[Equal] fun, u[x, y], x, y]]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(hb[1, 1, 1, x\ y] // Simplify\)], "Input"], Cell[BoxData[ \({{u[x, y] \[Rule] 2 + x\ \((\(-1\) + y)\) - y + \[ExponentialE]\^\(-x\)\ \(C[1]\)[\(-x\) + y]}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(hb[1, 0, 0, y/x] // Simplify\)], "Input"], Cell[BoxData[ \({{u[x, y] \[Rule] y\ Log[x] + \(C[1]\)[y]}}\)], "Output"] }, Open ]], Cell[BoxData[{ \(\:5b9a\:6570\:4fc2\:6570\:ff12\:968e\:7dda\:5f62\:504f\:5fae\:5206\:65b9\ \:7a0b\:5f0f\:306e\:5834\:5408\:ff0c\:6b21\:306e\:5b9a\:7fa9\:5f0f\ hb\ \ \:3067\ fun\ \:304c\:5b9a\:6570\:306e\:5834\:5408\:306f\:ff0c\), "\ \[IndentingNewLine]", \(\:4e00\:822c\:89e3\:3092\:3059\:3079\:3066\:6c42\:3081\:308b\:3053\:3068\ \:304c\:3067\:304d\:307e\:3059\:ff0e\)}], "Input", CellDingbat->"\[FilledSquare]", Background->RGBColor[0.613291, 0.964858, 0.851575]], Cell[BoxData[ \(hb[a_, b_, c_, fun_] := Module[\[IndentingNewLine]{}, DSolve[a\ D[u[x, y], {x, 2}] + b\ D[u[x, y], x, y] + c\ D[u[x, y], {y, 2}] \[Equal] fun, u[x, y], x, y]]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(hb[1, 0, \(-1\), 0]\)], "Input"], Cell[BoxData[ \({{u[x, y] \[Rule] \(C[1]\)[x + y] + \(C[2]\)[\(-x\) + y]}}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(\( (*\:53c2\:7167\:ff1a\:3000\:4f8b\:ff13\:ff1a\ 2. \:3000 \((p \ .200)\)\ *) \)\(\ \)\(y2 = u[x, y] /. hb[0, 1, 0, 0] // First\)\)\)], "Input"], Cell[BoxData[ \(\(C[1]\)[x] + \(C[2]\)[y]\)], "Output"] }, Open ]], Cell[BoxData[{ \(\:4f8b\:ff13\:ff1a\ 2. \:306e\ u[x, 0] = x, \ u[1, y] = sin\ y\ \:3092\:6e80\:305f\:3059\:89e3\:3092\:ff0c\:3053\:306e\:5834\ \:5408\:ff0c\), "\[IndentingNewLine]", \(\:6b21\:306e\:3088\:3046\:306b\:30de\:30cb\:30e5\:30a2\:30eb\:64cd\:4f5c\ \:3057\:3066\:6c42\:3081\:308b\:3053\:3068\:3082\:3067\:304d\:307e\:3059\:ff0e\ \)}], "Input", CellDingbat->"\[FilledSmallSquare]"], Cell[CellGroupData[{ Cell[BoxData[ \(c1x = y2 /. 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.71793 .66076 L s .47694 .6335 m .47873 .64843 L s .48896 .63048 m .47694 .6335 L s .2385 .62224 m .23848 .61682 L s .23936 .59111 m .2385 .62224 L s .2385 .62224 m .22058 .60343 L s .25726 .60448 m .2385 .62224 L s .24061 .53043 m .2385 .62224 L s .47873 .64843 m .49076 .64541 L s .20893 .72778 m .19844 .72012 L s .21883 .74721 m .20893 .72778 L s .20893 .72778 m .1886 .74701 L s .86597 .57634 m .89089 .58763 L s .8495 .56648 m .86597 .57634 L s .86597 .57634 m .88494 .54754 L s .23936 .59111 m .22058 .60343 L s .25726 .60448 m .23936 .59111 L s .91576 .77372 m .92767 .76211 L s .95603 .76891 m .91576 .77372 L s .95603 .76891 m .92767 .76211 L s .93846 .73462 m .95603 .76891 L s .81124 .69515 m .95603 .76891 L s .37343 .3396 m .33899 .36523 L .32993 .29179 L p .71 .524 .636 r F P 0 g s .29529 .32351 m .32993 .29179 L .33899 .36523 L p .72 .531 .634 r F P 0 g s .49076 .64541 m .48896 .63048 L s .20835 .73956 m .21883 .74721 L s .21883 .74721 m .1886 .74701 L s .1886 .74701 m .20835 .73956 L s .1886 .74701 m .19844 .72012 L s .28891 .68023 m .1886 .74701 L s .23848 .61682 m .25726 .60448 L s .22058 .60343 m .23848 .61682 L s .92767 .76211 m .93846 .73462 L s .89089 .58763 m .87445 .57777 L s .88494 .54754 m .89089 .58763 L s .19844 .72012 m .20835 .73956 L s .88494 .54754 m .87445 .57777 L s .8495 .56648 m .88494 .54754 L s .81124 .69515 m .88494 .54754 L s .50945 .70804 m .54355 .695 L .55348 .69667 L p .657 .944 .96 r F P 0 g s .55348 .69667 m .51959 .70963 L .50945 .70804 L p .657 .944 .96 r F P 0 g s .53314 .23377 m .56731 .24587 L .57804 .31939 L p .632 .469 .644 r F P 0 g s .57804 .31939 m .54359 .3069 L .53314 .23377 L p .632 .469 .644 r F P 0 g s .62145 .54562 m .63476 .54632 L s .61573 .53662 m .62145 .54562 L s .62145 .54562 m .63011 .52925 L s .77908 .74379 m .74339 .71602 L .73508 .72809 L p .751 .344 .28 r F P 0 g s .69984 .70714 m .73508 .72809 L .74339 .71602 L p .716 .301 .258 r F P 0 g s .87445 .57777 m .8495 .56648 L s .63011 .52925 m .62905 .53732 L s .63011 .52925 m .63476 .54632 L s .61573 .53662 m .63011 .52925 L s .60572 .59046 m .63011 .52925 L s .4753 .7279 m .50945 .70804 L .51959 .70963 L p .783 .961 .924 r F P 0 g s .51959 .70963 m .48565 .72938 L .4753 .7279 L p .783 .961 .924 r F P 0 g s .42635 .66942 m .41938 .66851 L s .43325 .67555 m .42635 .66942 L s .42635 .66942 m .4211 .68118 L s .4211 .68118 m .42628 .67464 L s .4211 .68118 m .41938 .66851 L s .43325 .67555 m .4211 .68118 L s .44717 .63539 m .4211 .68118 L s .63476 .54632 m .62905 .53732 L s .3751 .51094 m .37616 .51479 L s .38369 .49687 m .3751 .51094 L s .3751 .51094 m .37038 .50097 L s .38947 .51069 m .3751 .51094 L s .39931 .48532 m .3751 .51094 L s .42628 .67464 m .43325 .67555 L s .54355 .695 m .5777 .68873 L .58745 .69044 L p .444 .862 .951 r F P 0 g s .62905 .53732 m .61573 .53662 L s .41938 .66851 m .42628 .67464 L s .44154 .30759 m .47546 .30105 L .48555 .36835 L p .677 .506 .647 r F P 0 g s .48555 .36835 m .45144 .37487 L .44154 .30759 L p .677 .506 .647 r F P 0 g s .40757 .32042 m .44154 .30759 L .45144 .37487 L p .69 .515 .645 r F P 0 g s .11989 .49261 m .13009 .48387 L s .13839 .45644 m .11989 .49261 L s .11989 .49261 m .11334 .45951 L s .15514 .48076 m .11989 .49261 L s .192 .37971 m .11989 .49261 L s .13839 .45644 m .11334 .45951 L s .15514 .48076 m .13839 .45644 L s .38369 .49687 m .37038 .50097 L s .38947 .51069 m .38369 .49687 L s .38239 .83057 m .41717 .78968 L .42794 .78395 L p .877 .992 .755 r F P 0 g s .42794 .78395 m .39346 .82453 L .38239 .83057 L p .877 .992 .755 r F P 0 g s .37616 .51479 m .38947 .51069 L s .45144 .37487 m .41728 .3878 L .40757 .32042 L p .69 .515 .645 r F P 0 g s .37343 .3396 m .40757 .32042 L .41728 .3878 L p .703 .524 .643 r F P 0 g s .37038 .50097 m .37616 .51479 L s .64448 .60765 m .64079 .61679 L s .6483 .60368 m .64448 .60765 L s .64448 .60765 m .65424 .61518 L s .76669 .44526 m .78561 .44361 L s .74883 .44256 m .76669 .44526 L s .76669 .44526 m .76788 .41751 L s .47546 .30105 m .50944 .30081 L .51974 .36824 L p .662 .496 .649 r F P 0 g s .51974 .36824 m .48555 .36835 L .47546 .30105 L p .662 .496 .649 r F P 0 g s .44097 .75468 m .4753 .7279 L .48565 .72938 L p .855 .951 .876 r F P 0 g s .48565 .72938 m .45155 .75601 L .44097 .75468 L p .855 .951 .876 r F P 0 g s .64079 .61679 m .64461 .61283 L s .65424 .61518 m .64079 .61679 L s .65424 .61518 m .64461 .61283 L s .6483 .60368 m .65424 .61518 L s .60572 .59046 m .65424 .61518 L s .13009 .48387 m .15514 .48076 L s .43915 .91496 m .43483 .94573 L s .45723 .90661 m .43915 .91496 L s .43915 .91496 m .47356 .93625 L s .64461 .61283 m .6483 .60368 L s .47356 .93625 m .45291 .93742 L s .47356 .93625 m .43483 .94573 L s .45723 .90661 m .47356 .93625 L s .86298 .54256 m .86268 .56496 L s .86399 .5316 m .86298 .54256 L s .86298 .54256 m .88802 .54899 L s .11334 .45951 m .13009 .48387 L s .33899 .36523 m .30415 .39744 L .29529 .32351 L p .72 .531 .634 r F P 0 g s .26011 .36186 m .29529 .32351 L .30415 .39744 L p .729 .538 .633 r F P 0 g s .76788 .41751 m .76775 .44091 L s .76788 .41751 m .78561 .44361 L s .74883 .44256 m .76788 .41751 L s .76457 .54546 m .76788 .41751 L s .78561 .44361 m .76775 .44091 L s .76775 .44091 m .74883 .44256 L s .43483 .94573 m .45291 .93742 L s .14213 .5219 m .14218 .5109 L s .14136 .54429 m .14213 .5219 L s .14213 .5219 m .11706 .52689 L s .41728 .3878 m .38296 .40719 L .37343 .3396 L p .703 .524 .643 r F P 0 g s .33899 .36523 m .37343 .3396 L .38296 .40719 L p .714 .532 .642 r F P 0 g s .73508 .72809 m .69984 .70714 L .69095 .71234 L p .703 .218 .09 r F P 0 g s .51233 .39912 m .51456 .40611 L s .52844 .40849 m .51233 .39912 L s .51233 .39912 m .52665 .39824 L s .51636 .41636 m .51233 .39912 L s .55831 .44011 m .51233 .39912 L s .52844 .40849 m .52665 .39824 L s .51636 .41636 m .52844 .40849 L s .86268 .56496 m .86369 .55402 L s .88802 .54899 m .86268 .56496 L s .27312 .98721 m .25189 .98495 L s .29373 1.00602 m .27312 .98721 L s .27312 .98721 m .25722 1.02285 L s .51456 .40611 m .51636 .41636 L s .88802 .54899 m .86369 .55402 L s .86399 .5316 m .88802 .54899 L s .76457 .54546 m .88802 .54899 L s .25658 .38071 m .26877 .38103 L s .25658 .38071 m .27062 .37036 L s .25658 .38071 m .26246 .36376 L s .25658 .38071 m .2861 .38577 L s .30419 .35735 m .35116 .33431 L s .25658 .38071 m .27329 .37251 L s .28553 .3824 m .2861 .38577 L s .14141 .53332 m .14136 .54429 L s .14136 .54429 m .11706 .52689 L s .45291 .93742 m .45723 .90661 L s .52665 .39824 m .51456 .40611 L s .50944 .30081 m .54359 .3069 L .55412 .37456 L p .647 .485 .65 r F P 0 g s .55412 .37456 m .51974 .36824 L .50944 .30081 L p .647 .485 .65 r F P 0 g s .86369 .55402 m .86399 .5316 L s .24061 .53043 m .11706 .52689 L s .11706 .52689 m .14141 .53332 L s .11706 .52689 m .14218 .5109 L s .26877 .38103 m .2861 .38577 L s .25722 1.02285 m .27251 1.00379 L s .25722 1.02285 m .25189 .98495 L s .29373 1.00602 m .25722 1.02285 L s .14218 .5109 m .14141 .53332 L s .56731 .24587 m .60189 .26437 L .6129 .33841 L p .616 .458 .645 r F P 0 g s .6129 .33841 m .57804 .31939 L .56731 .24587 L p .616 .458 .645 r F P 0 g s .32283 .92825 m .35847 .87253 L .36984 .85925 L p .821 .941 .58 r F P 0 g s .36984 .85925 m .33458 .91442 L .32283 .92825 L p .821 .941 .58 r F P 0 g s .3496 .89092 m .35039 .8912 L s .33537 .88571 m .34726 .89006 L s .35039 .8912 m .47356 .93625 L s .25722 1.02285 m .33537 .88571 L s .58001 .82245 m .58739 .84567 L s .58857 .81099 m .58001 .82245 L s .58001 .82245 m .61124 .82524 L s .27251 1.00379 m .29373 1.00602 L s .66804 .30933 m .67879 .29827 L s .64854 .31846 m .66804 .30933 L s .66804 .30933 m .65019 .28679 L s .40635 .78854 m .44097 .75468 L .45155 .75601 L p .895 .931 .832 r F P 0 g s .45155 .75601 m .41717 .78968 L .40635 .78854 L p .895 .931 .832 r F P 0 g s .2664 .36695 m .26877 .38103 L s .61124 .82524 m .59597 .83424 L s .61124 .82524 m .58739 .84567 L s .58857 .81099 m .61124 .82524 L s .49466 .84078 m .61124 .82524 L s .36035 .46291 m .36402 .45884 L s .35656 .47203 m .36035 .46291 L s .36035 .46291 m .35053 .46047 L s .39931 .48532 m .35053 .46047 L s .25189 .98495 m .27251 1.00379 L s .49168 .92776 m .47399 .93337 L s .50936 .93438 m .49168 .92776 L s .49168 .92776 m .49093 .95709 L s .58739 .84567 m .59597 .83424 L s .36023 .46797 m .35656 .47203 L s .35656 .47203 m .35053 .46047 L s .35511 .80696 m .34595 .8045 L s .33711 .78103 m .35511 .80696 L s .35511 .80696 m .32647 .80275 L s .3566 .78275 m .35511 .80696 L s .28691 .73563 m .35511 .80696 L s .33711 .78103 m .32647 .80275 L s .3566 .78275 m .33711 .78103 L s .35053 .46047 m .36023 .46797 L s .35053 .46047 m .36402 .45884 L s .36402 .45884 m .36023 .46797 L s .65019 .28679 m .65928 .30741 L s .65019 .28679 m .67879 .29827 L s .64854 .31846 m .65019 .28679 L s .71761 .39483 m .65019 .28679 L s .65928 .30741 m .64854 .31846 L s .42517 .26746 m .41772 .25482 L s .41666 .28994 m .42517 .26746 L s .42517 .26746 m .39391 .26829 L s .49093 .95709 m .49166 .94001 L s .49093 .95709 m .47399 .93337 L s .50936 .93438 m .49093 .95709 L s .49466 .84078 m .49093 .95709 L s .38296 .40719 m .34836 .43314 L .33899 .36523 L p .714 .532 .642 r F P 0 g s .30415 .39744 m .33899 .36523 L .34836 .43314 L p .725 .54 .64 r F P 0 g s .59597 .83424 m .58857 .81099 L s .55831 .44011 m .58464 .39386 L s .39391 .26829 m .40919 .27732 L s .39391 .26829 m .41772 .25482 L s .41666 .28994 m .39391 .26829 L s .39391 .26829 m .51061 .28883 L s .67879 .29827 m .65928 .30741 L s .32647 .80275 m .34595 .8045 L s .5777 .68873 m .54355 .695 L .53346 .68651 L p .675 .807 .946 r F P 0 g s .4992 .6996 m .53346 .68651 L .54355 .695 L p .756 .824 .905 r F P 0 g s .54355 .695 m .50945 .70804 L .4992 .6996 L p .756 .824 .905 r F P 0 g s .49166 .94001 m .50936 .93438 L s .47399 .93337 m .49166 .94001 L s .40919 .27732 m .41666 .28994 L s .57934 .40061 m .58634 .40667 L s .57241 .39955 m .57934 .40061 L s .57934 .40061 m .58464 .39386 L s .71088 .86604 m .69657 .88168 L s .72562 .86253 m .71088 .86604 L s .71088 .86604 m .72527 .89116 L s .46488 .71954 m .4992 .6996 L .50945 .70804 L p .81 .827 .864 r F P 0 g s .50945 .70804 m .4753 .7279 L .46488 .71954 L p .81 .827 .864 r F P 0 g s .34595 .8045 m .3566 .78275 L s .72381 .7288 m .72793 .73251 L s .71995 .71585 m .72149 .72102 L s .72223 .7235 m .72331 .72711 L s .72331 .72711 m .72381 .7288 L s .73274 .72357 m .74956 .71371 L s .73226 .72385 m .73274 .72357 L s .72518 .728 m .72883 .72586 L s .72381 .7288 m .72518 .728 L s .58634 .40667 m .57941 .40562 L s .58464 .39386 m .58634 .40667 L s .34708 .87895 m .38239 .83057 L .39346 .82453 L p .924 .975 .738 r F P 0 g s .39346 .82453 m .35847 .87253 L .34708 .87895 L p .924 .975 .738 r F P 0 g s .57941 .40562 m .57241 .39955 L s .57241 .39955 m .58464 .39386 L s .71761 .39483 m .8194 .32706 L s .61204 .68924 m .5777 .68873 L .56777 .68021 L p .55 .765 .977 r F P 0 g s .53346 .68651 m .56777 .68021 L .5777 .68873 L p .675 .807 .946 r F P 0 g s .58464 .39386 m .57941 .40562 L s .45144 .37487 m .48555 .36835 L .49577 .42989 L p .679 .514 .655 r F P 0 g s .49577 .42989 m .46149 .43639 L .45144 .37487 L p .679 .514 .655 r F P 0 g s .41728 .3878 m .45144 .37487 L .46149 .43639 L p .693 .524 .653 r F P 0 g s .41772 .25482 m .40919 .27732 L s .79872 .33509 m .80913 .3544 L s .7889 .32686 m .79872 .33509 L s .79872 .33509 m .8194 .32706 L s .8156 .77883 m .77908 .74379 L .77101 .75616 L p .778 .379 .297 r F P 0 g s .73508 .72809 m .77101 .75616 L .77908 .74379 L p .751 .344 .28 r F P 0 g s .72527 .89116 m .7113 .87819 L s .72527 .89116 m .69657 .88168 L s .72562 .86253 m .72527 .89116 L s .65424 .79577 m .72527 .89116 L s .0749 .31236 m .08544 .29986 L s .06323 .33966 m .0749 .31236 L s .0749 .31236 m .04487 .30476 L s .54359 .3069 m .57804 .31939 L .58881 .38741 L p .63 .473 .651 r F P 0 g s .58881 .38741 m .55412 .37456 L .54359 .3069 L p .63 .473 .651 r F P 0 g s .192 .37971 m .04487 .30476 L s .73892 .72898 m .74956 .71371 L s .73868 .72933 m .73892 .72898 L s .74512 .72977 m .74956 .71371 L s .71995 .71585 m .74956 .71371 L s .65424 .79577 m .71946 .73962 L s .73526 .72601 m .74956 .71371 L s .73517 .72609 m .73526 .72601 L s .72966 .73084 m .73351 .72753 L s .71946 .73962 m .72165 .73774 L s .72165 .73774 m .72308 .7365 L s .72718 .73297 m .72966 .73084 L s .69657 .88168 m .7113 .87819 L s .56643 .16969 m .57084 .15293 L s .54823 .19287 m .56643 .16969 L s .56643 .16969 m .53187 .15535 L s .46149 .43639 m .42718 .4494 L .41728 .3878 L p .693 .524 .653 r F P 0 g s .38296 .40719 m .41728 .3878 L .42718 .4494 L p .707 .533 .651 r F P 0 g s .9305 .80212 m .91962 .82988 L s .94254 .79046 m .9305 .80212 L s .9305 .80212 m .96027 .82504 L s .49065 .7004 m .49289 .69535 L s .4767 .68833 m .49289 .69535 L s .47851 .70341 m .49289 .69535 L s .48883 .68531 m .49289 .69535 L s .7113 .87819 m .72562 .86253 L s .80913 .3544 m .79931 .34618 L s .8194 .32706 m .80913 .3544 L s .48555 .36835 m .51974 .36824 L .53013 .4299 L p .663 .503 .657 r F P 0 g s .53013 .4299 m .49577 .42989 L .48555 .36835 L p .663 .503 .657 r F P 0 g s .30415 .39744 m .26877 .43642 L .26011 .36186 L p .729 .538 .633 r F P 0 g s .22425 .40709 m .26011 .36186 L .26877 .43642 L p .738 .544 .631 r F P 0 g s .71995 .71585 m .73038 .72522 L s .73038 .72522 m .73175 .72646 L s .73256 .72719 m .73418 .72865 L s .43036 .74643 m .46488 .71954 L .4753 .7279 L p .845 .824 .827 r F P 0 g s .4753 .7279 m .44097 .75468 L .43036 .74643 L p .845 .824 .827 r F P 0 g s .4767 .68833 m .47851 .70341 L s .48883 .68531 m .4767 .68833 L s .07376 .3272 m .06323 .33966 L s .06323 .33966 m .04487 .30476 L s .23603 .67697 m .236 .67161 L s .2369 .64557 m .23603 .67697 L s .23603 .67697 m .21794 .65805 L s .25496 .65911 m .23603 .67697 L s .23815 .5846 m .23603 .67697 L s .27931 .23772 m .35116 .33431 L s .47851 .70341 m .49065 .7004 L s .20618 .78351 m .19559 .77584 L s .21618 .80316 m .20618 .78351 L s .20618 .78351 m .18566 .80295 L s .55261 .17614 m .54823 .19287 L s .54823 .19287 m .53187 .15535 L s .86937 .63066 m .89453 .64211 L s .85275 .62079 m .86937 .63066 L s .86937 .63066 m .88852 .60166 L s .8194 .32706 m .79931 .34618 L s .7889 .32686 m .8194 .32706 L s .79931 .34618 m .7889 .32686 L s .2369 .64557 m .21794 .65805 L s .25496 .65911 m .2369 .64557 L s .53187 .15535 m .55261 .17614 L s .53187 .15535 m .57084 .15293 L s .53187 .15535 m .63983 .22388 L s .63983 .22388 m .67036 .24326 L s .91962 .82988 m .93165 .81827 L s .96027 .82504 m .91962 .82988 L s .96027 .82504 m .93165 .81827 L s .94254 .79046 m .96027 .82504 L s .81413 .75068 m .96027 .82504 L s .48883 .68531 m .49065 .7004 L s .69095 .71234 m .72639 .73346 L .73508 .72809 L p .703 .218 .09 r F P 0 g s .37131 .82967 m .40635 .78854 L .41717 .78968 L p .919 .91 .795 r F P 0 g s .41717 .78968 m .38239 .83057 L .37131 .82967 L p .919 .91 .795 r F P 0 g s .29391 .2516 m .30818 .24735 L s .27923 .26679 m .29391 .2516 L s .29391 .2516 m .27931 .23772 L s .04487 .30476 m .07376 .3272 L s .04487 .30476 m .08544 .29986 L s .56777 .68021 m .60225 .68069 L .61204 .68924 L p .55 .765 .977 r F P 0 g s .08544 .29986 m .07376 .3272 L s .42718 .4494 m .39272 .46898 L .38296 .40719 L p .707 .533 .651 r F P 0 g s .34836 .43314 m .38296 .40719 L .39272 .46898 L p .72 .542 .648 r F P 0 g s .20559 .79551 m .21618 .80316 L s .21618 .80316 m .18566 .80295 L s .18566 .80295 m .20559 .79551 L s .18566 .80295 m .19559 .77584 L s .28691 .73563 m .18566 .80295 L s .51061 .28883 m .5144 .1705 L s .57084 .15293 m .55261 .17614 L s .236 .67161 m .25496 .65911 L s .21794 .65805 m .236 .67161 L s .93165 .81827 m .94254 .79046 L s .89453 .64211 m .87793 .63225 L s .88852 .60166 m .89453 .64211 L s .19559 .77584 m .20559 .79551 L s .29349 .26255 m .27923 .26679 L s .27923 .26679 m .27931 .23772 L s .88852 .60166 m .87793 .63225 L s .85275 .62079 m .88852 .60166 L s .81413 .75068 m .88852 .60166 L s .51974 .36824 m .55412 .37456 L .56469 .43644 L p .645 .491 .659 r F P 0 g s .56469 .43644 m .53013 .4299 L .51974 .36824 L p .645 .491 .659 r F P 0 g s .34836 .43314 m .31335 .4658 L .30415 .39744 L p .725 .54 .64 r F P 0 g s .26877 .43642 m .30415 .39744 L .31335 .4658 L p .735 .547 .638 r F P 0 g s .62256 .59973 m .63599 .60046 L s .61679 .59068 m .62256 .59973 L s .62256 .59973 m .63131 .58321 L s .60189 .26437 m .63699 .28944 L .64832 .36414 L p .599 .446 .645 r F P 0 g s .64832 .36414 m .6129 .33841 L .60189 .26437 L p .599 .446 .645 r F P 0 g s .87793 .63225 m .85275 .62079 L s .30818 .24735 m .29349 .26255 L s .27931 .23772 m .30818 .24735 L s .63131 .58321 m .63023 .59141 L s .63131 .58321 m .63599 .60046 L s .61679 .59068 m .63131 .58321 L s .60669 .64512 m .63131 .58321 L s .67036 .24326 m .75014 .10309 L s .51363 .1888 m .53141 .19472 L s .49587 .1937 m .51363 .1888 L s .51363 .1888 m .5144 .1705 L s .42563 .72471 m .4186 .72381 L s .42563 .72471 m .4326 .73091 L s .42563 .72471 m .42034 .73659 L s .27931 .23772 m .29349 .26255 L s .42034 .73659 m .42556 .73002 L s .42034 .73659 m .4186 .72381 L s .42034 .73659 m .4326 .73091 L s .42034 .73659 m .44665 .69042 L s .63599 .60046 m .63023 .59141 L s .3739 .56475 m .37497 .5687 L s .38258 .55059 m .3739 .56475 L s .3739 .56475 m .36914 .55474 L s .38841 .56454 m .3739 .56475 L s .39834 .53911 m .3739 .56475 L s .42556 .73002 m .4326 .73091 L s .63023 .59141 m .61679 .59068 L s .4186 .72381 m .42556 .73002 L s .39553 .78042 m .43036 .74643 L .44097 .75468 L p .87 .818 .795 r F P 0 g s .44097 .75468 m .40635 .78854 L .39553 .78042 L p .87 .818 .795 r F P 0 g s .1163 .54628 m .12659 .53758 L s .13498 .50977 m .1163 .54628 L s .1163 .54628 m .10968 .51294 L s .15188 .53436 m .1163 .54628 L s .13498 .50977 m .10968 .51294 L s .15188 .53436 m .13498 .50977 L s .56777 .68021 m .53346 .68651 L .52326 .67113 L p .702 .703 .848 r F P 0 g s .48887 .68426 m .52326 .67113 L .53346 .68651 L p .75 .719 .823 r F P 0 g s .53346 .68651 m .4992 .6996 L .48887 .68426 L p .75 .719 .823 r F P 0 g s .38258 .55059 m .36914 .55474 L s .38841 .56454 m .38258 .55059 L s .73384 .124 m .75512 .14198 L s .71317 .12038 m .73384 .124 L s .73384 .124 m .75014 .10309 L s .53141 .19472 m .51365 .19963 L s .5144 .1705 m .53141 .19472 L s .51365 .19963 m .49587 .1937 L s .49587 .1937 m .5144 .1705 L s .37497 .5687 m .38841 .56454 L s .45441 .70425 m .48887 .68426 L .4992 .6996 L p .787 .729 .799 r F P 0 g s .44665 .69042 m .47336 .69326 L s .4992 .6996 m .46488 .71954 L .45441 .70425 L p .787 .729 .799 r F P 0 g s .36914 .55474 m .37497 .5687 L s .57804 .31939 m .6129 .33841 L .62393 .40692 L p .612 .461 .652 r F P 0 g s .62393 .40692 m .58881 .38741 L .57804 .31939 L p .612 .461 .652 r F P 0 g s .64581 .66243 m .64208 .67167 L s .64967 .65845 m .64581 .66243 L s .64581 .66243 m .65567 .67004 L s .76917 .49851 m .78827 .49691 L s .75114 .49585 m .76917 .49851 L s .76917 .49851 m .77037 .47056 L s .46149 .43639 m .49577 .42989 L .50607 .48539 L p .681 .523 .665 r F P 0 g s .50607 .48539 m .47167 .49187 L .46149 .43639 L p .681 .523 .665 r F P 0 g s .42718 .4494 m .46149 .43639 L .47167 .49187 L p .697 .534 .662 r F P 0 g s .5144 .1705 m .51365 .19963 L s .39272 .46898 m .35799 .49521 L .34836 .43314 L p .72 .542 .648 r F P 0 g s .31335 .4658 m .34836 .43314 L .35799 .49521 L p .731 .55 .646 r F P 0 g s .60225 .68069 m .56777 .68021 L .55768 .66479 L p .636 .677 .872 r F P 0 g s .52326 .67113 m .55768 .66479 L .56777 .68021 L p .702 .703 .848 r F P 0 g s .64208 .67167 m .64594 .6677 L s .65567 .67004 m .64208 .67167 L s .65567 .67004 m .64594 .6677 L s .64967 .65845 m .65567 .67004 L s .60669 .64512 m .65567 .67004 L s .12659 .53758 m .15188 .53436 L s .43855 .97264 m .43419 1.00375 L s .4568 .96431 m .43855 .97264 L s .43855 .97264 m .47329 .99415 L s .47167 .49187 m .43725 .50494 L .42718 .4494 L p .697 .534 .662 r F P 0 g s .39272 .46898 m .42718 .4494 L .43725 .50494 L p .712 .544 .659 r F P 0 g s .60225 .68069 m .63701 .68801 L .64667 .69654 L p .368 .679 .977 r F P 0 g s .64594 .6677 m .64967 .65845 L s .47329 .99415 m .45244 .99545 L s .47329 .99415 m .43419 1.00375 L s .4568 .96431 m .47329 .99415 L s .33379 .9434 m .47329 .99415 L s .86636 .59677 m .86606 .61942 L s .86739 .58577 m .86636 .59677 L s .86636 .59677 m .89164 .60331 L s .75512 .14198 m .73446 .13839 L s .75014 .10309 m .75512 .14198 L s .10968 .51294 m .12659 .53758 L s .49577 .42989 m .53013 .4299 L .54057 .4855 L p .663 .511 .668 r F P 0 g s .54057 .4855 m .50607 .48539 L .49577 .42989 L p .663 .511 .668 r F P 0 g s .77037 .47056 m .77024 .49424 L s .77037 .47056 m .78827 .49691 L s .75114 .49585 m .77037 .47056 L s .76703 .59975 m .77037 .47056 L s .78827 .49691 m .77024 .49424 L s .77024 .49424 m .75114 .49585 L s .43419 1.00375 m .45244 .99545 L s .13874 .57593 m .13879 .5649 L s .13797 .59857 m .13874 .57593 L s .13874 .57593 m .11344 .58103 L s .73446 .13839 m .71317 .12038 L s .71317 .12038 m .75014 .10309 L s .41974 .7312 m .45441 .70425 L .46488 .71954 L p .814 .734 .776 r F P 0 g s .46488 .71954 m .43036 .74643 L .41974 .7312 L p .814 .734 .776 r F P 0 g s .86606 .61942 m .86709 .60844 L s .89164 .60331 m .86606 .61942 L s .55412 .37456 m .58881 .38741 L .59959 .44962 L p .627 .478 .661 r F P 0 g s .59959 .44962 m .56469 .43644 L .55412 .37456 L p .627 .478 .661 r F P 0 g s .31111 .93511 m .34708 .87895 L .35847 .87253 L p .95 .954 .719 r F P 0 g s .35847 .87253 m .32283 .92825 L .31111 .93511 L p .95 .954 .719 r F P 0 g s .75014 .10309 m .73446 .13839 L s .27097 1.04563 m .24953 1.04345 L s .29177 1.06469 m .27097 1.04563 L s .27097 1.04563 m .25492 1.08166 L s .89164 .60331 m .86709 .60844 L s .86739 .58577 m .89164 .60331 L s .76703 .59975 m .89164 .60331 L s .27233 .42014 m .28 .41448 L s .27156 .42071 m .27233 .42014 L s .25427 .43345 m .25899 .42997 L s .25427 .43345 m .25613 .42809 L s .25427 .43345 m .26781 .43578 L s .26915 .42619 m .34973 .38685 L s .26864 .42643 m .26915 .42619 L s .25427 .43345 m .26001 .43065 L s .28 .41448 m .28231 .42819 L s .28231 .42819 m .28244 .42896 L s .13802 .58757 m .13797 .59857 L s .13797 .59857 m .11344 .58103 L s .45244 .99545 m .4568 .96431 L s .43725 .50494 m .40269 .52467 L .39272 .46898 L p .712 .544 .659 r F P 0 g s .35799 .49521 m .39272 .46898 L .40269 .52467 L p .726 .553 .656 r F P 0 g s .86709 .60844 m .86739 .58577 L s .23815 .5846 m .11344 .58103 L s .63701 .68801 m .60225 .68069 L .59226 .66525 L p .548 .637 .891 r F P 0 g s .55768 .66479 m .59226 .66525 L .60225 .68069 L p .636 .677 .872 r F P 0 g s .11344 .58103 m .13802 .58757 L s .11344 .58103 m .13879 .5649 L s .33573 .87832 m .37131 .82967 L .38239 .83057 L p .934 .891 .764 r F P 0 g s .38239 .83057 m .34708 .87895 L .33573 .87832 L p .934 .891 .764 r F P 0 g s .27181 .43528 m .27212 .43536 L s .25492 1.08166 m .27034 1.06253 L s .25492 1.08166 m .24953 1.04345 L s .29177 1.06469 m .25492 1.08166 L s .33379 .9434 m .25492 1.08166 L s .13879 .5649 m .13802 .58757 L s .26877 .43642 m .23272 .48241 L .22425 .40709 L p .738 .544 .631 r F P 0 g s .26657 .43386 m .27181 .43528 L s .26252 .40973 m .28 .41448 L s .25859 .42102 m .26252 .40973 L s .26513 .43382 m .26657 .43386 L s .18759 .45946 m .22425 .40709 L .23272 .48241 L p .747 .55 .63 r F P 0 g s .1163 .54628 m .18908 .43263 L s .58073 .87939 m .58819 .90287 L s .58938 .8679 m .58073 .87939 L s .58073 .87939 m .61226 .88222 L s .27034 1.06253 m .29177 1.06469 L s .53013 .4299 m .56469 .43644 L .57528 .49224 L p .644 .498 .67 r F P 0 g s .57528 .49224 m .54057 .4855 L .53013 .4299 L p .644 .498 .67 r F P 0 g s .55244 .48781 m .55884 .49353 L s .66959 .36146 m .68045 .35036 L s .64991 .37072 m .66959 .36146 L s .66959 .36146 m .65158 .33874 L s .26252 .40973 m .26657 .43386 L s .61226 .88222 m .59685 .8914 L s .61226 .88222 m .58819 .90287 L s .58938 .8679 m .61226 .88222 L s .49458 .8981 m .61226 .88222 L s .55768 .66479 m .52326 .67113 L .51297 .64884 L p .701 .638 .783 r F P 0 g s .4785 .662 m .51297 .64884 L .52326 .67113 L p .736 .654 .768 r F P 0 g s .52326 .67113 m .48887 .68426 L .4785 .662 L p .736 .654 .768 r F P 0 g s .35902 .51649 m .36272 .51242 L s .35519 .52571 m .35902 .51649 L s .3491 .51405 m .35902 .51649 L s .3491 .51405 m .39834 .53911 L s .24953 1.04345 m .27034 1.06253 L s .36027 .8217 m .39553 .780