From fd22d34830e198d3377194cf2a5ff1b30fdca6c9 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Wed, 11 Apr 2007 11:24:50 +0000 Subject: [PATCH] Fixed docs on usage of modules. Taken out sorting routines from user's guide (for the time being). --- docs/pdf/datastruct.tex | 6 +- docs/pdf/methods.tex | 3 +- docs/pdf/util.tex | 147 +- docs/userguide.pdf | 9162 ++++++++++++++++++--------------------- 4 files changed, 4339 insertions(+), 4979 deletions(-) diff --git a/docs/pdf/datastruct.tex b/docs/pdf/datastruct.tex index f1b1ea75..2a54db70 100644 --- a/docs/pdf/datastruct.tex +++ b/docs/pdf/datastruct.tex @@ -8,9 +8,9 @@ communication descriptors and preconditioners.%% These data structures %% are used for calling PSBLAS routines in Fortran~90 language and will %% be used to next chapters containing these callings. -All the data types and subroutine interfaces are defined in the module -\verb|psb_base_mod|; this will have to be included by every user -subroutine that makes use of the library. +All the data types and the basic subroutine interfaces are defined in +the module \verb|psb_base_mod|; this will have to be included by every +user subroutine that makes use of the library. diff --git a/docs/pdf/methods.tex b/docs/pdf/methods.tex index bb7db557..9a2a8d26 100644 --- a/docs/pdf/methods.tex +++ b/docs/pdf/methods.tex @@ -2,7 +2,8 @@ \label{sec:methods} In this chapter we provide routines for preconditioners and iterative -methods. +methods. The interfaces for Krylov subspace methods are available in +the module \verb|psb_krylov_mod|. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % diff --git a/docs/pdf/util.tex b/docs/pdf/util.tex index 76876a91..189cc433 100644 --- a/docs/pdf/util.tex +++ b/docs/pdf/util.tex @@ -1,78 +1,81 @@ \section{Utilities} \label{sec:util} - -\subroutine{}{Sorting utilities} - -\subroutine*{psb\_msort}{Sorting by the Merge-sort algorithm} -\subroutine*{psb\_qsort}{Sorting by the Quicksort algorithm} -\syntax{call psb\_msort}{x,ix,dir,flag} -\syntax*{call psb\_qsort}{x,ix,dir,flag} - -These serial routines sort a sequence $X$ into ascending or -descending order. The argument meaning is identical for the two -calls; the only difference is the algorithm used to accomplish the -task (see Usage Notes below). -\begin{description} -\item[\bf On Entry ] -\item[x] The sequence to be sorted.\\ -Type:{\bf required}.\\ -Specified as: an integer array of rank 1. -\item[ix] A vector of indices.\\ -Type:{\bf optional}.\\ -Specified as: an integer array of (at least) the same size as $X$. -\item[dir] The desired ordering.\\ -Type:{\bf optional}.\\ -Specified as: an integer value \verb|psb_sort_up_| or -\verb|psb_sort_down_|; default \verb|psb_sort_up_|. -\item[flag] Whether to keep the original values in $IX$.\\ -Type:{\bf optional}.\\ -Specified as: an integer value \verb|psb_sort_ovw_idx_| or -\verb|psb_sort_keep_idx_|; default \verb|psb_sort_ovw_idx_|. - -\end{description} - -\begin{description} -\item[\bf On Return] -\item[x] The sequence of values, in the chosen ordering.\\ -Type:{\bf required}.\\ -Specified as: an integer array of rank 1. -\item[ix] A vector of indices.\\ -Type: {\bf Optional} \\ -An integer array of rank 1, whose entries are moved to the same -position as the corresponding entries in $x$. -\end{description} -\section*{Usage notes} -\begin{enumerate} -\item The two routines return the items in the chosen ordering; the - only output difference is the handling of ties (i.e. items with an - equal value) in the original input. With the merge-sort algorithm - ties are preserved in the same order as they had in the original - sequence, while this is not guaranteed for quicksort -\item If $flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ - where $n$ is the size of $x$ are initialized to $ix(i) \leftarrow - i$; thus, upon return from the subroutine, for each - index $i$ we have in $ix(i)$ the position that the item $x(i)$ - occupied in the original data sequence; -\item If $flag = psb\_sort\_keep\_idx\_$ the routine will assume that - the entries in $ix(:)$ have already been initialized by the user; -\item The two sorting algorithms have a similar $O(n \log n)$ expected - running time; in the average case quicksort will be the - fastest. However note that: -\begin{enumerate} -\item The worst case running time for quicksort is $O(n^2)$; the algorithm - implemented here follows the well-known median-of-three heuristics, - but the worst case may still apply; -\item The worst case running time for merge-sort is the same as the - average case; -\item The merge-sort algorithm is implemented to take advantage of - subsequences that may be already in the desired ordering at the - beginning; this situation is relatively common when dealing with - indices of sparse matrix entries, thus merge-sort is the - preferred choice when a sorting is needed by other routines in the - library. -\end{enumerate} -\end{enumerate} +We have some utitlities available for input and output of +sparsematrices; the interfaces to these routines are available in the +module \verb|psb_util_mod|. + +%% \subroutine{}{Sorting utilities} + +%% \subroutine*{psb\_msort}{Sorting by the Merge-sort algorithm} +%% \subroutine*{psb\_qsort}{Sorting by the Quicksort algorithm} +%% \syntax{call psb\_msort}{x,ix,dir,flag} +%% \syntax*{call psb\_qsort}{x,ix,dir,flag} + +%% These serial routines sort a sequence $X$ into ascending or +%% descending order. The argument meaning is identical for the two +%% calls; the only difference is the algorithm used to accomplish the +%% task (see Usage Notes below). +%% \begin{description} +%% \item[\bf On Entry ] +%% \item[x] The sequence to be sorted.\\ +%% Type:{\bf required}.\\ +%% Specified as: an integer array of rank 1. +%% \item[ix] A vector of indices.\\ +%% Type:{\bf optional}.\\ +%% Specified as: an integer array of (at least) the same size as $X$. +%% \item[dir] The desired ordering.\\ +%% Type:{\bf optional}.\\ +%% Specified as: an integer value \verb|psb_sort_up_| or +%% \verb|psb_sort_down_|; default \verb|psb_sort_up_|. +%% \item[flag] Whether to keep the original values in $IX$.\\ +%% Type:{\bf optional}.\\ +%% Specified as: an integer value \verb|psb_sort_ovw_idx_| or +%% \verb|psb_sort_keep_idx_|; default \verb|psb_sort_ovw_idx_|. + +%% \end{description} + +%% \begin{description} +%% \item[\bf On Return] +%% \item[x] The sequence of values, in the chosen ordering.\\ +%% Type:{\bf required}.\\ +%% Specified as: an integer array of rank 1. +%% \item[ix] A vector of indices.\\ +%% Type: {\bf Optional} \\ +%% An integer array of rank 1, whose entries are moved to the same +%% position as the corresponding entries in $x$. +%% \end{description} +%% \section*{Usage notes} +%% \begin{enumerate} +%% \item The two routines return the items in the chosen ordering; the +%% only output difference is the handling of ties (i.e. items with an +%% equal value) in the original input. With the merge-sort algorithm +%% ties are preserved in the same order as they had in the original +%% sequence, while this is not guaranteed for quicksort +%% \item If $flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ +%% where $n$ is the size of $x$ are initialized to $ix(i) \leftarrow +%% i$; thus, upon return from the subroutine, for each +%% index $i$ we have in $ix(i)$ the position that the item $x(i)$ +%% occupied in the original data sequence; +%% \item If $flag = psb\_sort\_keep\_idx\_$ the routine will assume that +%% the entries in $ix(:)$ have already been initialized by the user; +%% \item The two sorting algorithms have a similar $O(n \log n)$ expected +%% running time; in the average case quicksort will be the +%% fastest. However note that: +%% \begin{enumerate} +%% \item The worst case running time for quicksort is $O(n^2)$; the algorithm +%% implemented here follows the well-known median-of-three heuristics, +%% but the worst case may still apply; +%% \item The worst case running time for merge-sort is the same as the +%% average case; +%% \item The merge-sort algorithm is implemented to take advantage of +%% subsequences that may be already in the desired ordering at the +%% beginning; this situation is relatively common when dealing with +%% indices of sparse matrix entries, thus merge-sort is the +%% preferred choice when a sorting is needed by other routines in the +%% library. +%% \end{enumerate} +%% \end{enumerate} %\subroutine{PSB\_HBIO\_MOD}{Input/Output in Harwell-Boeing format} diff --git a/docs/userguide.pdf b/docs/userguide.pdf index 7a075eff..a6614193 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -519,89 +519,72 @@ endobj << /S /GoTo /D (section*.161) >> endobj 352 0 obj 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95/underscore 96/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef 126/asciitilde 127/.notdef] >> endobj -562 0 obj << -/Length1 1369 -/Length2 9186 +547 0 obj << +/Length1 1341 +/Length2 8729 /Length3 532 -/Length 11087 +/Length 10602 >> stream %!PS-AdobeFont-1.1: CMMI10 1.100 @@ -31594,7 +31022,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /YTQRNT+CMMI10 def +/FontName /QPYLBM+CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31611,12 +31039,10 @@ dup 68 /D put dup 73 /I put dup 76 /L put dup 78 /N put -dup 79 /O put dup 80 /P put dup 81 /Q put dup 84 /T put dup 85 /U put -dup 88 /X put dup 97 /a put dup 98 /b put dup 99 /c put @@ -31650,39 +31076,32 @@ currentfile eexec ]LeVߐGoo٥\k 9Mՙ= 0)xf 1kX9JS:6V =!X>KM)9! 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114/r/s/t/u/v/w/x/y/z 123/.notdef] +/Differences [ 0 /.notdef 11/alpha/beta 13/.notdef 58/period/comma/less 61/.notdef 62/greater 63/.notdef 65/A 66/.notdef 68/D 69/.notdef 73/I 74/.notdef 76/L 77/.notdef 78/N 79/.notdef 80/P/Q 82/.notdef 84/T/U 86/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj -547 0 obj << +532 0 obj << /Length1 1685 /Length2 13643 /Length3 532 @@ -31743,7 +31162,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /OOZXHO+CMTI10 def +/FontName /ZLGMQO+CMTI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31886,37 +31305,37 @@ Y cleartomark endstream endobj -548 0 obj << +533 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1492 0 R +/Encoding 1459 0 R /FirstChar 11 /LastChar 122 -/Widths 1493 0 R -/BaseFont /OOZXHO+CMTI10 -/FontDescriptor 546 0 R +/Widths 1460 0 R +/BaseFont /ZLGMQO+CMTI10 +/FontDescriptor 531 0 R >> endobj -546 0 obj << +531 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /OOZXHO+CMTI10 +/FontName /ZLGMQO+CMTI10 /ItalicAngle -14.04 /StemV 68 /XHeight 431 /FontBBox [-163 -250 1146 969] /Flags 4 /CharSet (/ff/fi/fl/quoteright/comma/hyphen/period/slash/zero/one/two/three/five/eight/nine/colon/equal/A/B/C/D/E/F/G/I/K/L/M/N/O/P/R/S/T/U/V/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z) -/FontFile 547 0 R +/FontFile 532 0 R >> endobj -1493 0 obj +1460 0 obj [613 562 588 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 307 0 0 0 0 307 358 307 511 511 511 511 511 0 511 0 0 511 511 307 0 0 767 0 0 0 743 704 716 755 678 653 774 0 386 0 769 627 897 743 767 678 0 729 562 716 743 743 0 0 0 0 0 0 0 0 0 0 511 460 460 511 460 307 460 511 307 307 460 256 818 562 511 511 460 422 409 332 537 460 664 464 486 409 ] endobj -1492 0 obj << +1459 0 obj << /Type /Encoding /Differences [ 0 /.notdef 11/ff/fi/fl 14/.notdef 39/quoteright 40/.notdef 44/comma/hyphen/period/slash/zero/one/two/three 52/.notdef 53/five 54/.notdef 56/eight/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G 72/.notdef 73/I 74/.notdef 75/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V 87/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef] >> endobj -421 0 obj << +409 0 obj << /Length1 2040 /Length2 15030 /Length3 532 @@ -31936,7 +31355,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /HTHQUF+CMR10 def +/FontName /JKCVEX+CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32101,37 +31520,37 @@ sߥ cleartomark endstream endobj -422 0 obj << +410 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1494 0 R +/Encoding 1461 0 R /FirstChar 11 /LastChar 123 -/Widths 1495 0 R -/BaseFont /HTHQUF+CMR10 -/FontDescriptor 420 0 R +/Widths 1462 0 R +/BaseFont /JKCVEX+CMR10 +/FontDescriptor 408 0 R >> endobj -420 0 obj << +408 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /HTHQUF+CMR10 +/FontName /JKCVEX+CMR10 /ItalicAngle 0 /StemV 69 /XHeight 431 /FontBBox [-251 -250 1009 969] /Flags 4 /CharSet (/ff/fi/fl/ffi/quotedblright/ampersand/quoteright/parenleft/parenright/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon/equal/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/Y/bracketleft/quotedblleft/bracketright/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash) -/FontFile 421 0 R +/FontFile 409 0 R >> endobj -1495 0 obj +1462 0 obj [583 556 556 833 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 778 278 389 389 0 778 278 333 278 500 500 500 500 500 500 500 500 500 500 500 278 278 0 778 0 0 0 750 708 722 764 681 653 785 750 361 514 778 625 917 750 778 681 0 736 556 722 750 750 1028 750 750 0 278 500 278 0 0 0 500 556 444 556 444 306 500 556 278 306 528 278 833 556 500 556 528 392 394 389 556 528 722 528 528 444 500 ] endobj -1494 0 obj << +1461 0 obj << /Type /Encoding /Differences [ 0 /.notdef 11/ff/fi/fl/ffi 15/.notdef 34/quotedblright 35/.notdef 38/ampersand/quoteright/parenleft/parenright 42/.notdef 43/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/colon/semicolon 60/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P 81/.notdef 82/R/S/T/U/V/W/X/Y 90/.notdef 91/bracketleft/quotedblleft/bracketright 94/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash 124/.notdef] >> endobj -418 0 obj << +406 0 obj << /Length1 1762 /Length2 12194 /Length3 532 @@ -32151,7 +31570,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /SPXYEY+CMBX10 def +/FontName /YWYNSH+CMBX10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32284,37 +31703,37 @@ p cleartomark endstream endobj -419 0 obj << +407 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1496 0 R +/Encoding 1463 0 R /FirstChar 12 /LastChar 123 -/Widths 1497 0 R -/BaseFont /SPXYEY+CMBX10 -/FontDescriptor 417 0 R +/Widths 1464 0 R +/BaseFont /YWYNSH+CMBX10 +/FontDescriptor 405 0 R >> endobj -417 0 obj << +405 0 obj << /Ascent 694 /CapHeight 686 /Descent -194 -/FontName /SPXYEY+CMBX10 +/FontName /YWYNSH+CMBX10 /ItalicAngle 0 /StemV 114 /XHeight 444 /FontBBox [-301 -250 1164 946] /Flags 4 /CharSet (/fi/fl/quotedblright/quoteright/comma/period/zero/one/two/three/four/five/six/seven/eight/nine/colon/equal/A/B/C/D/E/F/G/H/I/J/L/M/N/O/P/R/S/T/U/V/quotedblleft/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash) -/FontFile 418 0 R +/FontFile 406 0 R >> endobj -1497 0 obj +1464 0 obj [639 639 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 603 0 0 0 0 319 0 0 0 0 319 0 319 0 575 575 575 575 575 575 575 575 575 575 319 0 0 894 0 0 0 869 818 831 882 756 724 904 900 436 594 0 692 1092 900 864 786 0 862 639 800 885 869 0 0 0 0 0 603 0 0 0 0 559 639 511 639 527 351 575 639 319 351 607 319 958 639 575 639 607 474 454 447 639 607 831 607 607 511 575 ] endobj -1496 0 obj << +1463 0 obj << /Type /Encoding /Differences [ 0 /.notdef 12/fi/fl 14/.notdef 34/quotedblright 35/.notdef 39/quoteright 40/.notdef 44/comma 45/.notdef 46/period 47/.notdef 48/zero/one/two/three/four/five/six/seven/eight/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C/D/E/F/G/H/I/J 75/.notdef 76/L/M/N/O/P 81/.notdef 82/R/S/T/U/V 87/.notdef 92/quotedblleft 93/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/endash 124/.notdef] >> endobj -415 0 obj << +403 0 obj << /Length1 1067 /Length2 5106 /Length3 532 @@ -32334,7 +31753,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /ZJFHOY+CMTI12 def +/FontName /RYICVV+CMTI12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32397,41 +31816,41 @@ Hn4*/ cleartomark endstream endobj -416 0 obj << +404 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1498 0 R +/Encoding 1465 0 R /FirstChar 65 /LastChar 121 -/Widths 1499 0 R -/BaseFont /ZJFHOY+CMTI12 -/FontDescriptor 414 0 R +/Widths 1466 0 R +/BaseFont /RYICVV+CMTI12 +/FontDescriptor 402 0 R >> endobj -414 0 obj << +402 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /ZJFHOY+CMTI12 +/FontName /RYICVV+CMTI12 /ItalicAngle -14.04 /StemV 63 /XHeight 431 /FontBBox [-36 -251 1103 750] /Flags 4 /CharSet (/A/B/L/P/S/a/b/c/d/e/f/g/h/i/l/n/o/p/r/s/t/u/y) -/FontFile 415 0 R +/FontFile 403 0 R >> endobj -1499 0 obj +1466 0 obj [727 688 0 0 0 0 0 0 0 0 0 613 0 0 0 663 0 0 550 0 0 0 0 0 0 0 0 0 0 0 0 0 500 450 450 500 450 300 450 500 300 0 0 250 0 550 500 500 0 413 400 325 525 0 0 0 475 ] endobj -1498 0 obj << +1465 0 obj << /Type /Encoding /Differences [ 0 /.notdef 65/A/B 67/.notdef 76/L 77/.notdef 80/P 81/.notdef 83/S 84/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 108/l 109/.notdef 110/n/o/p 113/.notdef 114/r/s/t/u 118/.notdef 121/y 122/.notdef] >> endobj -412 0 obj << -/Length1 1714 -/Length2 10513 +400 0 obj << +/Length1 1700 +/Length2 10268 /Length3 532 -/Length 12759 +/Length 12500 >> stream %!PS-AdobeFont-1.1: CMBX12 1.0 @@ -32447,7 +31866,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /AJPQAD+CMBX12 def +/FontName /HKXEYK+CMBX12 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32484,7 +31903,6 @@ dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put -dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put @@ -32522,50 +31940,48 @@ readonly def currentdict end currentfile eexec oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_dV`Ky Z]uMYb[1[l',t\pڮԞZO4GJ7 i!U&Ϸݢh`ZṆhKGz; #1&()$J3KُօEsjFf"P$-I޵˕B -6=hqDV<` EkENrraƌJG ~L{6IE6U'y 0gK>&)o>2\U]$XW-1f@'B 1mW=L%5t.O-]N CT4>&wvNXŅCf עr1fׁVCȖ~q0 Xf^^$ӷ%G7dȱ\lFc0]g<銷_&W{>}N|ӷ 054H4ܞlG>T_cќ6Y1 nUr-u$zq1k.s+6'F2炁.rq5#3|u)pվc Nr3 p<~s?aG:m+-뢅^dҭG)qQE;%鬎F02y'9N#`=gh7+eC:é&0 -tw;E)9qhZ -31 ~ɕWk{͋ SNOn}UXE<c" @Խ3|I޾<&.&c$U!l mmV]`G@$?1g:kv,6<ϵQ LT\W:}'.%xY)b!@P=& [ncp0z^6IjiٹH&x1/ RW;!8!W&Hl&FXE~<BͰH|~nٶ$S\"[E`ƌT6Ͳ3=2* ( C-޻ QJ -S:Xiʧh%O*jL,'Y鍶&"FJn P[CuW|%MPЅ] --UC>cĆ&̫W2cns}kn_2JjHQQyOBy~װ!˅~6Ϊ܎ &п 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