SIMPLE = T / file does conform to FITS standard BITPIX = 16 / number of bits per data pixel NAXIS = 0 / number of data axes EXTEND = T / FITS dataset may contain extensions COMMENT FITS (Flexible Image Transport System) format is defined in 'AstronomyCOMMENT and Astrophysics', volume 376, page 359; bibcode: 2001A&A...376..359H HDUNAME = 'PRIMARY ' / ASCDM block name LONGSTRN= 'OGIP 1.0' / The HEASARC Long String Convention may be used.COMMENT This FITS file may contain long string keyword values that are COMMENT continued over multiple keywords. The HEASARC convention uses the & COMMENT character at the end of each substring which is then continued COMMENT on the next keyword which has the name CONTINUE. ORIGIN = 'ASC ' / Source of FITS file CREATOR = 'mkarf v0.6.2-0' / Program creating this file MJD_OBS = 5.4350713660558E+04 / Modified Julian date of observation DS_IDENT= 'ADS/Sa.CXO#obs/07823' / dataset identifier CHECKSUM= 'dgYJdgVHdgVHdgVH' / HDU checksum updated 2012-02-20T05:22:49 DATASUM = ' ' / data unit checksum updated 2012-02-20T05:22:42 DATE = '2012-02-20T05:22:49' / Date and time of file creation DATE-OBS= '2007-09-07T17:07:40' / Observation start date DATE-END= '2007-09-08T11:52:11' / Observation end date TIMESYS = 'TT ' / Time system MJDREF = 5.0814000000000E+04 / MJD zero point for times TIMEZERO= 0.0000000000000E+00 / Clock correction TIMEUNIT= 's ' / Time unit CLOCKAPP= T / default DETNAM = 'ACIS-3 ' / ACIS-I3 FILTER = ' ' GRATING = 'NONE ' CYCLE = 'P ' / events from which exps? Prim/Second/Both SIM_X = -6.8282252473119E-01 / [mm] SIM offset SIM_Y = 0.0000000000000E+00 / [mm] SIM offset SIM_Z = -1.9014006604987E+02 / [mm] SIM offset TSTART = 3.0557206027218E+08 / Observation start time TSTOP = 3.0563953192542E+08 / Observation end time MISSION = 'AXAF ' / Mission TELESCOP= 'CHANDRA ' / Telescope Used INSTRUME= 'ACIS ' / Instrument OBS_ID = '7823 ' / Observation id SEQ_NUM = '701487 ' / Sequence number END XTENSION= 'BINTABLE' / binary table extension BITPIX = 8 / 8-bit bytes NAXIS = 2 / 2-dimensional binary table NAXIS1 = 12 / width of table in bytes NAXIS2 = 1070 / number of rows in table PCOUNT = 0 / size of special data area GCOUNT = 1 / one data group (required keyword) TFIELDS = 3 / number of fields in each row EXTNAME = 'SPECRESP' / Imaging ARF HDUNAME = 'SPECRESP' / ASCDM block name CONTENT = 'SPECRESP' HDUVERS = '1.1.0 ' HDUCLASS= 'OGIP ' HDUCLAS1= 'RESPONSE' HDUCLAS2= 'SPECRESP' HDUVERS1= '1.0.0 ' / Obsolete Keyword HDUVERS2= '1.1.0 ' / Obsolete Keyword ARFVERSN= '1992a ' / Obsolete Keyword TTYPE1 = 'ENERG_LO' / Energy TFORM1 = '1E ' / format of field TUNIT1 = 'keV ' TLMIN1 = 0.0000000E+00 TLMAX1 = 2.0000000E+01 TTYPE2 = 'ENERG_HI' / Effective Area TFORM2 = '1E ' / format of field TUNIT2 = 'keV ' TLMIN2 = 0.0000000E+00 TLMAX2 = 2.0000000E+01 TTYPE3 = 'SPECRESP' / Effective Area TFORM3 = '1E ' / format of field TUNIT3 = 'cm**2 ' LONGSTRN= 'OGIP 1.0' / The HEASARC Long String Convention may be used.COMMENT This FITS file may contain long string keyword values that are COMMENT continued over multiple keywords. The HEASARC convention uses the & COMMENT character at the end of each substring which is then continued COMMENT on the next keyword which has the name CONTINUE. ORIGIN = 'ASC ' / Source of FITS file CREATOR = 'mkarf v0.6.2-0' / Program creating this file ASCDSVER= 'CIAO 4.3' / ASCDS version number MJD_OBS = 5.4350713660558E+04 / Modified Julian date of observation DS_IDENT= 'ADS/Sa.CXO#obs/07823' / dataset identifier REVISION= 1 / Processing version of data CHECKSUM= 'QFdfSCZfQCbfQCZf' / HDU checksum updated 2012-02-20T05:22:49 DATASUM = '3387664494' / data unit checksum updated 2012-02-20T05:22:49 RAND_SKY= 5.0000000000000E-01 RAND_PI = 1.0000000000000E+00 EQUINOX = 2.0000000000000E+03 / default DATE = '2012-02-20T05:22:49' / Date and time of file creation DATE-OBS= '2007-09-07T17:07:40' / Observation start date OBS_MODE= 'POINTING' / Observation mode DATE-END= '2007-09-08T11:52:11' / Observation end date TIMESYS = 'TT ' / Time system MJDREF = 5.0814000000000E+04 / MJD zero point for times TIMEZERO= 0.0000000000000E+00 / Clock correction TIMEUNIT= 's ' / Time unit BTIMNULL= 3.0367915731871E+08 / Basic Time offset (s) DATACLAS= 'OBSERVED' / default BTIMRATE= 2.5625001230518E-01 / Basic Time clock rate (s / VCDUcount) BTIMDRFT= 2.4776746816333E-18 / Basic Time clock drift (s / VCDUcount^2) FILTER = 'NONE ' / QE includes all filters RESPFILE= '0.3:11.0:0.01' / RMF File ASPFILE = '../../acisf07823/products/aux/asphist_3.fits.gz' / Aspect Histogram FBTIMCORR= 0.0000000000000E+00 / Correction applied to Basic Time rate (s) TIMEREF = 'LOCAL ' / Time reference (barycenter/local) TASSIGN = 'SATELLITE' / Time assigned by clock CLOCKAPP= T / default SIM_X = -6.8282252473119E-01 / [mm] SIM offset SIM_Y = 0.0000000000000E+00 / [mm] SIM offset SIM_Z = -1.9014006604987E+02 / [mm] SIM offset FOC_LEN = 1.0070000000000E+04 / HRMA focal length (mm) TIERRELA= 1.0000000000000E-09 / default TIERABSO= 5.0000000000000E-05 / default TIMVERSN= 'ASC-FITS-2' / Timing system definition TSTART = 3.0557206027218E+08 / Observation start time GRATING = 'NONE ' / Grating DETNAM = 'ACIS-3 ' / ACIS-I3 RA_PNT = 2.1462106388013E+01 / Pointing RA DEC_PNT = -1.3424057761153E+00 / Pointing Dec ROLL_PNT= 1.0015637817322E+02 / Pointing Roll RA_TARG = 2.1472917000000E+01 / Observer's specified target RA DEC_TARG= -1.3650000000000E+00 / Observer's specified target Dec DEFOCUS = 1.4449365687057E-03 / SIM defocus (mm) RA_NOM = 2.1462106388013E+01 / Nominal RA DEC_NOM = -1.3424057761153E+00 / Nominal Dec ROLL_NOM= 1.0015637817322E+02 / Nominal Roll TSTOP = 3.0563953192542E+08 / Observation end time STARTOBT= 0.0000000000000E+00 / On-Board MET close to STARTMJF and STARTMNF TIMEPIXR= 5.0000000000000E-01 / default TIMEDEL = 3.1410400000000E+00 / timedel Lev1 (in seconds) CTI_CORR= T CTI_APP = 'PPPPPBPBPP' MISSION = 'AXAF ' / Mission TELESCOP= 'CHANDRA ' / Telescope Used INSTRUME= 'ACIS ' / Instrument FRACEXPO= 9.5384410683773E-01 / Effective fractional exposure READMODE= 'TIMED ' / Read mode DATAMODE= 'VFAINT ' / Data mode FLSHTIME= 0.0000000000000E+00 / Inferred duration of each flush. (s) CYCLE = 'P ' / events from which exps? Prim/Second/Both TITLE = 'Interaction of AGN Outbursts with their Environments' / Proposal titlOBSERVER= 'Dr William Forman' / Principal investigator OBJECT = '3C40 and PKS0123-016A' / Source name OBS_ID = '7823 ' / Observation id SEQ_NUM = '701487 ' / Sequence number ONTIME = 6.5676472692072E+04 / [s] Sum of GTIs ONTIME3 = 6.5676472692072E+04 / [s] Sum of GTIs LIVETIME= 6.4818361226035E+04 / [s] Livetime LIVTIME3= 6.4818361226035E+04 / [s] Livetime EXPOSURE= 6.4818311421394E+04 / [secs] Total exposure time EXPOSUR3= 6.4818361226035E+04 / [s] Exposure time DTCOR = 9.8693426381071E-01 / Dead time correction ASPTYPE = 'KALMAN ' FP_TEMP = 1.5360722351000E+02 / [K] Focal Plane Temperature RADESYS = 'ICRS ' / default HISTORY ----------------------------------------------------------------- HISTORY MKARF Processing History HISTORY ----------------------------------------------------------------- HISTORY Startup Directory: /xassist/data/pipeline4/chandra/7823/acisf07823/produHISTORY cts HISTORY Cmd Line: mkarf @@/tmp/tmp9cNQng.par mode=hl HISTORY Parameter file used: /tmp/tmp9cNQng.par HISTORY Detector Mask File: ../../acisf07823/data/aux/acisf07823_000N001_msk1.fiHISTORY ts.gz HISTORY Source SKY position: (2563.02,3510.8) HISTORY ---------------------------------------------------------------------- HISTORY ARDLIB History Records HISTORY ---------------------------------------------------------------------- HISTORY ARDLIB Version: 0.8.5 HISTORY File used for CALDB info: ../../acisf07823/products/events/fullrun_ccd3_HISTORY acisf07823_pi14-548_pass1_cl_src4_src.evt.gz HISTORY Parameter file: /opt/ciao-4.3/param/ardlib.par HISTORY ACIS QE File: /opt/ciao-4.3/CALDB/data/chandra/acis/qe/acisD1997-04-17qeHISTORY N0006.fits[4] HISTORY ACIS Uniformity File: /opt/ciao-4.3/CALDB/data/chandra/acis/qeu/acisD200HISTORY 0-01-29qeuN0006.fits[4] HISTORY ACIS Contamination File: /opt/ciao-4.3/CALDB/data/chandra/acis/contam/acHISTORY isD1999-08-13contamN0006.fits[4] HISTORY ACIS 3 Badpix File: /opt/ciao-4.3/CALDB/data/chandra/acis/badpix/acisD20HISTORY 00-11-28badpixN0003.fits[4] HISTORY Vignetting File: /opt/ciao-4.3/CALDB/data/chandra/default/vignet/hrmaD19HISTORY 96-12-20vignetN0003.fits[1] HISTNUM = 22 HISTORY Onaxis Area File: /opt/ciao-4.3/CALDB/data/chandra/default/axeffa/hrmaD1HISTORY 996-12-20axeffaN0008.fits[1] HISTORY ---------------------------------------------------------------------- HISTORY ---------------------------------------------------------------------- HISTORY PIXLIB History Records HISTORY ---------------------------------------------------------------------- HISTORY PIXLIB Version: 4.0.0 HISTORY ****** PIXLIB Parameter File ***** HISTORY /opt/ciao-4.3/param/geom.par: HISTORY instruments = /opt/ciao-4.3/CALDB/data/chandra/default/geom/telD1999-07HISTORY -23geomN0006.fits(CALDB) HISTORY aimpoints = /opt/ciao-4.3/CALDB/data/chandra/default/aimpts/telD1999-HISTORY 07-23aimptsN0002.fits(CALDB) HISTORY tdet = /opt/ciao-4.3/CALDB/data/chandra/default/tdet/telD1999-07HISTORY -23tdetN0001.fits(CALDB) HISTORY sky = /opt/ciao-4.3/CALDB/data/chandra/default/sky/telD1999-07-HISTORY 23skyN0002.fits(CALDB) HISTORY shell = /opt/ciao-4.3/CALDB/data/chandra/default/sgeom/telD1999-0HISTORY 7-23sgeomN0001.fits(CALDB) HISTORY obsfile = nowT00:00:00() HISTORY ****** PIXLIB System Configuration ****** HISTORY Telescope = AXAF HISTORY Focal Length (mm) = 10070.000 HISTORY Detector = ACIS HISTORY Focal Plane Sys. = FP-1.1 HISTORY Tiled Detector Plane Sys. = ACIS-2.2 HISTORY SIM Offset (mm) = (0.684 0.75 236.552) HISTORY Aim Point(NONE) (mm) = (-0.682823 0 -190.14) HISTORY Grating Arm = HEG HISTORY Grating Order = 1 HISTORY Dispersion Plane Sys. = ASC-GDP-1.1 HISTORY Rowland Circle (mm) = 8632.48 HISTORY ---------------------------------------------------------------------- HISTORY TOOL :mkarf 2012-02-20T05:22:49 ASC00001HISTORY PARM :asphistfile=../../acisf07823/products/aux/asphist_3.fitsASC00002HISTORY CONT :.gz ASC00003HISTORY PARM :outfile=../../acisf07823/products/spectra/fullrun_ccd3_aASC00004HISTORY CONT :cisf07823_pi14-548_pass1_cl_src4.arf ASC00005HISTORY PARM :sourcepixelx=2563.0163 ASC00006HISTORY PARM :sourcepixely=3510.7963 ASC00007HISTORY PARM :engrid=0.3:11.0:0.01 ASC00008HISTORY PARM :obsfile=../../acisf07823/products/events/fullrun_ccd3_acASC00009HISTORY CONT :isf07823_pi14-548_pass1_cl_src4_src.evt.gz ASC00010HISTORY PARM :pbkfile=../../acisf07823/data/aux/acisf305572896N001_pbkASC00011HISTORY CONT :0.fits.gz ASC00012HISTORY PARM :dafile=CALDB ASC00013HISTORY PARM :mirror=HRMA ASC00014HISTORY PARM :detsubsys=ACIS-I3 ASC00015HISTORY PARM :grating=NONE ASC00016HISTORY PARM :maskfile=../../acisf07823/data/aux/acisf07823_000N001_msASC00017HISTORY CONT :k1.fits.gz ASC00018HISTORY PARM :ardlibparfile=ardlib.par ASC00019HISTORY PARM :geompar=geom ASC00020HISTORY PARM :verbose=0 ASC00021HISTORY PARM :clobber=yes ASC00022END >>R;@>R> =E> >=5>>{>?>{>33>WZ>33>Q>&>Q>p>Y>p>\? >\>Ǯ?bO>Ǯ>?>>?^>> =?e&> =>(@">(>G@Z(>G>ff@>ff>@+>>@l>>A>>HAС>H?A@ @!GCs@!G@!Cr-@!@"\Cn@"\@#33C`BH@#33@# C^E@# @$zCh@$z@%Cl%@%@%Cn>@%@&ffCq<(@&ff@' =Crv`@' =@'Cu7@'@(QCwG@(Q@(CyD@(@)CzA @)@*=qC{T@*=q@*HC|%a@*H@+C}9@+@,(C~ @,(@,C(2@,@-pC@-p@.{C@.{@.RC-@.R@/\)CC@/\)@0C@0@0C&@0@1GCT@1G@1C1O@1@2\C@2\@333C@333@3 C@3 @4zC"8@4z@5C}@5@5C4@5@6ffCz@6ff@7 =C@7 =@7CJ@7@8QC&@8Q@8C\@8@9C/@9@:=qC)@:=q@:HC8l@:H@;C@;@<(CY@<(@{C@>{@>RC(+@>R@?\)C`@?\)@@CR@@@@C>@@@AGC#@AG@AC@A@B\Cߝ@B\@C33C.K@C33@C C@C @DzC"@Dz@EC@E@EC<@E@FffC@Fff@G =C@G =@GCw@G@HQCR@HQ@HCd @H@ICY@I@J=qC@J=q@JHC@JH@KC@K@L(C@L(@LC@L@MpCJ@Mp@N{Ce@N{@NRCt @NR@O\)Cޞ@O\)@PCr@P@PCy:@P@QGC@QG@QC?@Q@R\CD@R\@S33C@S33@S C@S @TzCA+@Tz@UCg`@U@UCo@U@VffC@Vff@W =Cl@W =@WCɎ@W@XQC&A@XQ@XCH@X@YCj@Y@Z=qC@Z=q@ZHC @ZH@[C@[@\(C$ @\(@\C3~@\@]pCO@]p@^{Cx@^{@^RC@^R@_\)Ct@_\)@`C4@`@`C"@`@aGCJ@aG@aCrD@a@b\Cq@b\@c33C@c33@c C@c @dzCW@dz@eC@e@eC@e@fffC$F@fff@g =C<|@g =@gCZ@g@hQCx@hQ@hC}@h@iCi@i@j=qC@j=q@jHC@jH@kC@k@l(CT@l(@lC@l@mpC@mp@n{C@n{@nRC@nR@o\)C@o\)@pCM@p@pCb@p@qGCq@qG@qCy@q@r\C@r\@s33C3@s33@s C@s @tzCw@tz@uC@u@uC@u@vffC@vff@w =Cs@w =@wC@w@xQC@xQ@xC@x@yC@@y@z=qCs@z=q@zHCc @zH@{CRh@{@|(CX@|(@|C_@|@}pCe@}p@~{ClT@~{@~RCs@~R@\)Cu@\)@Cx9@@QCt{@Q@Cq@@Co=@@GC=>@G@C ?@@C@@=qCo@=q@\C7@\@HCp\@H@33CF@33@CH@@ C@ @(C@(@zC^@z@Cx@@CLI@@pC" @p@C@@{C@{@ffC@ff@RCo@R@ =C;@ =@\)Cn@\)@C@@C&@@QCe@Q@C0@@C@@GC@G@C_@@CA@@=qCH@=q@\C@\@HC{!@H@33C;U@33@C@@ C@ @(CE@(@zC@z@C@@Ct@@pC @p@Cǘ@@{C|@{@ffC2B@ff@RCߎ@R@ =C@ =@\)C*,@\)@C@@C@@QC:@Q@C5@@C@@GC2@G@C@@C{|@@=qC@=q@\C}@\@HCF@H@33C@33@C"@@ CF@ @(C@(@zCJE@z@C@@C{=@@pC@p@C@@{C*@{@ffC@ff@RC_ @R@ =C@ =@\)C|`@\)@CL@@Ci@@QC5@Q@C@@C~@@GC}@G@C|@@C{@@=qC{@=q@\Cz 1@\@HCy<0@H@33Cxk@33@Cws@@ Cv@ @(Cu@(@zCtK@z@Cs@@Cr.@@pCq@p@Cp@@{Co@{@ffCn@ff@RCmK@R@ =Cl@ =@\)Ck@\)@Cj@@Ciz@@QChg@Q@CgY@@Cf@@GCe@G@Cd@@Cc@@=qCb¯@=q@\Ca@\@HC`@H@33C_@33@C^@@ C]@ @(C\@(@zC[@z@CZL@@CY)@@pCXͅ@p@CWy@@{CVϷ@{@ffCUӶ@ff@RCTб@R@ =CS~@ =@\)CR@\)@CQ @@CP@@QCO%@Q@CN@@CMd@@GCL^@G@CK @@CJ@@=qCI}@=q@\CHz@\@HCGr@H@33CFkf@33@CEd@@ CD^#@ @(CCX`@(@zCBA<@z@CA*@@C@n@@pC?@p@C>9@@{C=@{@ffC<$R@ff@RC;#@R@ =C: @ =@\)C9d@\)@C8 P@@C7@@QC6 @Q@C43@@C3h@@GC2@G@C1@@C0@@=qC/@=q@\C.@\@HC-@H@33C,@33@C+@@ C*@ @(C)@(@zC(I@z@C'f@@C&-@@pC&@p@C%@@{C$%[@{@ffC#4@ff@RC"F@R@ =C![$@ =@\)C i @\)@Cn@@CuC@@QCZ@Q@C@@C_@@GCl@G@Ci@@CY@@=qC=@=q@\C@\@HCм@H@33Cf@33@Cޏ@@ C1@ @(C@(@zC@z@C@@C:g@@pCpP@p@C @@{C @{@ffC @ff@RC @R@ =C @ =@\)CĀ@\)@C!@@C{@@QC@Q@C@@Cf@@GC-`@G@CE]@@C[@@=qCne@=q@\B@\@HBs@Q@B<@@B;@@GB90@G@陚B7\@陚@B5@@=qB3@=q@\B20@\@HB0z@H@33B.@33@B-@@ B+U@ @(B)@(@zB(@z@B&l@@B$@@pB#&@p@B!@@{B  @{@ffB@ff@RB*@R@ =B@ =@\)B"@\)@B@@B@@QB@Q@BJ@@B3@@GB@G@B,@@B@@=qB @=q@\B <@\@HB ;@H@33B b@33@B5@@ B@ @(B}@(@zB:,@z@B@@Bû@@pBs@p@A@@{A@{@ffA!@ff@RAy@R@ =AzB@ =@\)A.@\)@A.@@A3@@QA쳆@Q@A~C@@AJh@@GA'@G@Ab@@A@@=qAߔ@=q@\Aݓ@\@HAۆg@H@33Az@33@Ah@@ ANI@ @(A6@(@zAa^@z@Aύ@@Aͦf@@pA˫@p@Aɱ{@@{Aǐ@{@ffA@ff@RA @R@ =AFE@ =@\)A@\)@A@AAAA(AvA(AQA1AQAzAnAzAAAAAAAAFAAA9AAGA-7AGApAApAA%AAA0AAAnAA{ArA{A=qAAiA=qAffAAffA\A(A\ARAARAHA8cAHA =AfA =A33ATA33A\)AfA\)AAHVAAAAA ANA AAlAA(AsA(AQAAQAzAAzAAMFAAAAAAAAA]AAGAAGApAApAAG]AAAAAAnAA{Af=A{A=qAA=qAffAAffA\A',A\ARA|ARAHAz7xAHA =AwA =A33AuA33A\)AsLA\)AApAAAnkAA AlmA AAjOAA(Ah9A(AQAf=AQAzAdDAzAAbWgAAA`lAAA^AA A\!A A GAZmAQAz@mAzA@ĶAA@,AA@JAA@LAAG@sAGAp@+OApA@hzAA@ AA@(qAA{@qA{A=q@A=qAff@AffA\@uA\AR@spARAH@!AHA =@JA =A33@A33A\)@+?A\)A@rAA@AA @~A A@{AAA(@x*A(AQ@uAQAz@rTDAzA@o#AA@kAA@hCAA@eHAAG@bHAGAp@_WApA@\~AA@YuAA@V\AA{@SHA{A=q@P+#A=qAff@MAffA\@JA\AR@G>ARAH@Dg6AHA =@ACA =A33@>A33A\)@<"A\)A@9!AA@6>AA @3}A A @0A A (@-A (A Q@+"A QA z@(SuA zA @%qA A @" A A @aA A!@A!A!G@A!GA!p@&A!pA!@7A!A!@X A!A!@A!A"{@ A"{A"=q@ A"=qA"ff@#BA"ffA"\@fYA"\A"R@3A"RA"H?A"HA# =?A# =A#33?[A#33A#\)?A#\)A#?0A#A#?/oA#A# ?SA# A$?}A$A$(?kA$(A$Q?&A$QA$z?ɏ,A$zA$?A$A$?*A$A$?mA$A%?"1A%A%G?A%GA%p??iA%pA%?A%A%?A%A%?15A%A&{?n/A&{A&=q?]A&=qA&ff?A&ffA&\?VA&\A&R?`A&RA&H?(A&HA' =?A' =A'33?A'33A'\)?z-A'\)A'?rzA'A'?j}A'A' ?cOA' A(?\`A(A((?UA((A(Q?NXA(QA(z?G{A(zA(?AFPA(A(?:A(A(?4RA(A)?-A)A)G?'"A)GA)p?!RAA)pA)?A)A)?A)A)?^A)A*{? VA*{A*=q?9A*=qA*ff?A*ffA*\>WA*\A*R>A*RA*H>HA*HA+ =>\qA+ =A+33>/fA+33A+\)>cBA+\)A+>A+A+>ǒA+A+ >iA+ A,>EA,A,(>WA,(A,Q>%sA,QA,z>uA,zA,>OA,A,>A,A,>S:A,A->A-A-G>A-GA-p>wA-pA->uA-A-> A-A->HA-A.{>~A.{A.=q>|A.=qA.ff>uIA.ffA.\>nA.\A.R>gA.RA.H>a8A.HA/ =>ZA/ =A/33>TA/33A/\)>NFA/\)A/>GۯA/A/>AwA/A/ >;2A/ A0>4