++ 0 Motivation: '0 Changes: '1 Run ID: :' 'hg482a' 'hg482a' '0 1 2 3 4 5 6 7 8' '12345678901234567890123456789012345678901234567890123456789012345678901234567890' ++ 1: 6 ++++++ QCD Evolution Parameters ++++++ 'Ipk iOAlf Fswitch iFsch iOHrd iOEvl Nflv Iset' 22 3 0 0 3 3 5 10 'Xmn Nx Qmn Qmx NQ Imass' 1D-9 150 1.295 1D+5 24 0 'Alfa @ Qalfa Mc Mb Mt (Minuit #:Alfa Mc Mb Mt)' 0.118000 91.190 1.300 4.750 172.000 0 0 0 0 ++ 2: 2 ++++++++ Control switches ++++++ '1 Lfit LErr LPrt Loutput(sho|plt|pds|tmp|dta) LTheo(|Theo&KF|cut|MC|)' 30 0100111 00 11111 111 ++ 3: 7 ++++++++ Theoretical Parameters ++++++ 99 1 230 1.000 0.000 0.000 DIS: Kfac Ldtadj iSchm ScalFc xxx xxx 99 0 0 0.000 0.000 0.000 VBP: Kfac Lxx Lxx IRscl qscl xxx 99 0 0 0.500 0.000 0.000 Dph: Kfac LscIO Lxx XMULT xxx xxx 99 0 0 1.000 0.000 0.000 Hhk: Kfac 2 1 0 1.000 7.000 0.000 Jet: Kfac Lxx Lxx Amu Dymx xxx 99 828101 0103210 1d-3 1.5 1.6 Vpt: Kfac V1 V2 V3 rerr bmax Q0in 99 0 0 0.000 0.000 0.000 Dmu: Kfac Emc Ior xxx xxx xxx ++ 4: 8 ++++++ Kinematic Cuts on Data ++++++ '1 DIS: QCUT, XCUT, WCUT QMAX:' 2.000 0.000 3.55249 3000.000 '2 VBP: Qcut Ptlow pthi QMAX:' 2.000 40.000 150.000 3000.000 '3 DPh: ptmin ptmax y3 xxx :' 4.000 150.000 -10.000 88.000 '4 Hhk: xxx xxx xxx xxx :' 88.000 88.000 88.000 88.000 '5 Jet: ylo yhi ptl pth :' 88.000 88.000 88.000 88.000 '6 Vpt: xxx xxx xxx xxx :' 88.000 88.000 88.000 88.000 '7 Dmu: xxx xxx xxx xxx :' 88.000 88.000 88.000 88.000 'Chi^2 Ctrl: cx fmx fmn chimn:' 0.010 1280.500 1230.050 4.39E+03 ++ 5: 40 data sets Choice of Expt Data Sets ++++++ '1 datalist Pathname&filename:' '../da/data2018.0611/' 'dat18lis' 'ExpID Norm Fac ksys (|LR *MC)/Anor FacNorm LswEx FacNorm4 LTheo cut1l cut1h cut2l cut2h cut3l cut3h cutlob NmDta' 2 45 0 1.0 0 1.0000 1.0 0 0.0 113 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 88 LHCb7ZWrap_Marco 2 46 0 1.0 0 1.0000 1.0 0 0.0 112 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 88 LHCb8Zeer_Marco 2 49 0 1.0 0 1.0000 1.0 0 0.0 132 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 1 2 50 0 1.0 0 1.0000 1.0 0 0.0 112 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 1110 LHCb8WZ-new2 2 53 0 1.0 0 1.0000 1.0 0 0.0 113 5 42 0 1.0 0 1.0000 1.0 0 0.0 213 0.0000E+00 3.0000E+00 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 88 CMS7jtR7y6.decor 5 44 0 1.0 0 1.0000 1.0 0 0.0 113 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 88 ATL7jtR6u.607 5 45 0 1.0 0 1.0000 1.0 0 0.0 213 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 8.8000E+01 88 CMS8jtR7.v2 5 65 0 1.0 0 1.0000 1.0 0 5 67 0 1.0 0 1.0000 1.0 0 5 73 0 1.0 0 1.0000 1.0 0 1 60 0 1.0 0 1.0000 1.0 0 1 01 71 1.0 0 0.9670 0.1 0 1.0 1 02 71 1.0 0 0.9670 1.0 0 1 04 999 1.0 0 1.0000 1.0 0 1 8 72 1.0 0 1.0131 0.1 0 1.0 1 9 72 1.0 0 1.0131 1.0 0 1 10 73 1.0 0 1.0282 0.1 0 1.0 1 11 73 1.0 0 1.0282 1.0 0 1 24 0 1.0 0 1.0000 1.0 0 1 25 0 1.0 0 1.0000 1.0 0 1 26 0 1.0 0 1.0000 1.0 0 1 27 0 1.0 0 1.0000 1.0 0 1 45 0 1.0 0 1.0000 1.0 0 1 47 0 1.0 0 1.0000 1.0 0 1 69 0 1.0 0 1.0000 1.0 0 2 1 0 1.0 0 1.0000 1.0 0 2 3 999 1.0 0 1.0000 1.0 0 2 4 0 1.0 0 1.0000 1.0 0 2 25 999 1.0 0 1.0000 1.0 0 2 27 999 1.0 0 1.0000 1.0 0 2 34 999 1.0 0 1.0000 1.0 0 2 60 0 1.0 0 1.0000 1.0 0 2 61 0 1.0 0 1.0000 1.0 0 2 66 999 1.0 0 1.0000 1.0 0 2 67 0 1.0 0 1.0000 1.0 0 2 68 0 1.0 0 1.0000 1.0 0 2 81 999 1.0 0 1.0000 1.0 0 5 4 0 1.0 0 1.0000 1.0 0 5 14 0 1.0 0 1.0000 1.0 0 ++ 6: 2 -4 12 2 :=> Nfval Nfsea Nshp Ifun ++++ Parton Distr. Parameters ++++++ ' MomFrac B0 A1 A2 A3 A4 A5 ' (LBP) --------------------- Switches -------------------- ' 2dvl' 888 888 11 22 23 24 25 0 0 0 0 0 0 0 ' 1uvl' 888 888 11 12 13 14 15 0 0 0 0 0 0 0 ' 0glu' 888 10 1 2 3 4 0 0 0 0 0 0 0 0 '-1dmu' 888 888 51 52 53 54 55 56 57 41 42 43 44 45 '-2dpu' 888 888 51 52 53 54 55 56 57 41 42 43 44 45 '-3str' 888 60 61 62 0 0 0 0 0 0 0 0 0 0 '-4chm' 888 0 0 0 0 0 0 0 0 0 0 0 0 0 (BP) -gfun- -------------------- Coefficients -------------------- ' 2dvl' 310 0.1342446 0.0000000 0.69443 2.89347 0.68401 0.28559 -0.16821 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ' 1uvl' 705 0.3242497 0.0000000 0.69443 3.55836 -0.71244 -1.35135 -0.61683 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ' 0glu' 848 0.3840927 0.0000000 0.52491 3.11702 2.98372 -1.69989 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 '-1dmu' 285 0.0000000 0.0000000 -0.00959 10.44475 0.70388 -0.47707 2.17874 -1.85184 4.04357 0.28332 -0.35847 1.27688 -0.95256 1.88486 '-2dpu' 284 0.1281968 0.0000000 -0.00959 10.44475 0.70388 -0.47707 2.17874 -1.85184 4.04357 0.28332 -0.35847 1.27688 -0.95256 1.88486 '-3str' 996 0.0292162 0.5568068 -0.20635 5.91377 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 '-4chm' 60 0.0000000 0.0000000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ++ 7: 5 7 :=> row column +++ Other process dependent parameters +++ '0 C1 C2 .... CN' (LCP) --------------------- Switches -------------------- ' CPa ' 0 0 0 0 0 0 0 ' CPb ' 0 0 0 0 0 0 0 ' CPc ' 0 0 0 0 0 0 0 ' CPd ' 0 0 0 0 0 0 0 ' CPe ' 0 0 0 0 0 0 0 (CP) ---------------------- Coefficients --------------------- ' 1CP ' 0.01000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ' 2CP ' 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ' 3CP ' 0.00000 0.00000 0.00000 0.00000 1.00000 4.69450 0.00000 ' 4CP ' 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ' 5CP ' 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 '0 1 2 3 4 5 6 7 8' '12345678901234567890123456789012345678901234567890123456789012345678901234567890' ++ 8: 3 Lagrange Multiplier Calculation Inputs ++++++ 20 2 : 2-digit_Phys_Quantity_key and #_of_input lines Description: sum of squares of shape parameters 1 integer indices: dummy : Lm(0, 1) 1 : Lm(1.., 1) 1 real variables : LMvalue : dM(0, 1,1) 0.010 : dM(1,1,1) 22 2 : 2-digit_Phys_Quantity_key and #_of_input data lines Description: penalties on systematic error shifts 4 number of integer variables = 2*(number of shifts penalized) 504 25 514 23 ID1 par1 ID2 par2 ... 2 number of real parameters = (number of shifts penalized) 0.5 0.5 weights that multiply shift**4 21 2 : 2-digit_Phys_Quantity_key and #_of_input lines Description: gg->H 2 integer indices: ID pt : Lm(0, 1) 702 1 : Lm(1.., 1) 1 real variables : LMvalue : dM(0, 1,1) 0. ++ 9: ===== ====== END OF FITINP FILE; BEGINNING OF MINUIT CARDS FIRST LINE OF MINUIT CARDS 1 'A1glu' 0.00000 0.1 2 'A2glu' 0.00000 0.1 3 'A3glu' 0.00000 0.1 4 'A4glu' 0.00000 0.1 10 'gluM' 0.00000 0.1 11 'A1uvl' 0.00000 0.1 12 'A2uvl' 0.00000 0.1 13 'A3uvl' 0.00000 0.1 14 'A4uvl' 0.00000 0.1 15 'A5uvl' 0.00000 0.1 22 'A2dvl' 0.00000 0.1 23 'A3dvl' 0.00000 0.1 24 'A4dvl' 0.00000 0.1 25 'A5dvl' 0.00000 0.1 41 'A1dou' 0.00000 0.1 42 'A2dou' 0.00000 0.1 43 'A3dou' 0.00000 0.1 44 'A4dou' 0.00000 0.1 45 'A5dou' 0.00000 0.1 51 'A1dpu' 0.00000 0.1 52 'A2dpu' 0.00000 0.1 53 'A3dpu' 0.00000 0.1 54 'A4dpu' 0.00000 0.1 55 'A5dpu' 0.00000 0.1 56 'A6dpu' 0.00000 0.1 57 'A7dpu' 0.00000 0.1 60 'strM' 0.00000 0.1 61 'A1str' 0.00000 0.1 62 'A2str' 0.00000 0.1 71 'N71' 0.00000 0.1 72 'N72' 0.00000 0.1 73 'N73' 0.00000 0.1 set print 0 set errdef 0.05 migrad 6000 return ======= Output section ======= ++ 0 Motivation: '0 Changes: '1 Run ID: :' 'hg482a' 'hg482a' Switches: IorQcd IorHrd IorEvl Isch Iset Ifun Lfit Lerr iMass 3 3 3 0 10 2 30 100111 0 ------------------------------------- # RUNS , PTS, Chi2Wt, C/dof, Chi2R, Chi2F0, Chi2F Chi2X LM-Var1, LM-Data1, LM-Coef1, . Init 0 3699 4375. 1.183 4375. 4375. 4389. 4385. 0.1000E-01 0.000 363.4 0.5000 0.000 1.588 0.000 0.000 0.000 Last 251 3699 4375. 1.183 4375. 4375. 4389. 4385. 0.1000E-01 0.000 363.0 0.5000 0.000 1.590 0.000 0.000 0.000 ------------------------------------- Expt.#: 245 246 249 250 253 542 544 545 565 567 573 160 101 102 104 108 109 110 111 124 125 126 127 145 147 169 201 203 204 225 227 234 260 261 266 267 268 281 504 514 Npt(IB) 33 17 11 34 45 158 140 185 8 7 16 1120 337 250 123 85 96 69 86 38 33 40 38 10 47 9 119 15 184 11 11 9 28 29 11 11 41 13 72 110 chi^2 / # pts. --------------------- InitX : 1.65 1.68 2.73 2.21 1.68 1.29 1.85 1.24 0.34 0.44 1.39 1.25 1.11 1.05 0.97 1.05 0.87 1.18 0.37 0.62 1.23 0.76 0.51 0.69 1.23 1.87 0.81 0.47 1.27 0.82 1.23 0.93 0.60 1.68 0.88 1.15 1.01 1.90 1.65 1.01 LastX : 1.64 1.68 2.71 2.21 1.68 1.29 1.85 1.24 0.34 0.44 1.39 1.25 1.11 1.05 0.97 1.05 0.87 1.18 0.37 0.62 1.23 0.76 0.51 0.69 1.23 1.87 0.81 0.48 1.27 0.82 1.22 0.93 0.60 1.67 0.89 1.16 1.01 1.90 1.65 1.01 Exptl norm fac --------------------- InitN : 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97 0.97 1.00 1.01 1.01 1.03 1.03 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 LastN : 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97 0.97 1.00 1.01 1.01 1.03 1.03 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 Tier 2 penalties --------------------- InitS : 2.28 1.76 2.95 3.85 2.74 2.39 5.75 2.16 -1.63 -1.15 1.11 5.52 1.45 0.57 -0.19 0.39 -0.91 1.07 -5.49 -1.85 0.96 -1.10 -2.54 -0.64 1.09 1.64 -1.54 -1.71 2.40 -0.30 0.63 -0.00 -1.68 2.24 -0.14 0.48 0.14 1.95 3.33 0.15 LastS : 2.27 1.75 2.93 3.84 2.75 2.39 5.75 2.16 -1.64 -1.16 1.11 5.52 1.46 0.58 -0.20 0.39 -0.90 1.07 -5.48 -1.85 0.96 -1.10 -2.53 -0.64 1.09 1.64 -1.54 -1.68 2.40 -0.30 0.63 -0.00 -1.68 2.23 -0.13 0.49 0.13 1.95 3.33 0.14 Shifts of fitting parameters: 1A1glu -0.00040 1 2A2glu -0.01048 2 3A3glu 0.00411 3 4A4glu -0.00193 4 10gluM 0.00005 5 11A1uvl -0.00083 6 12A2uvl 0.00005 7 13A3uvl -0.00201 8 14A4uvl -0.00527 9 15A5uvl -0.00028 10 22A2dvl -0.02339 11 23A3dvl 0.02768 12 24A4dvl -0.00582 13 25A5dvl 0.01285 14 41A1dou -0.18163 15 42A2dou -0.00409 16 43A3dou 0.02898 17 44A4dou -0.03787 18 45A5dou 0.10086 19 51A1dpu 0.00032 20 52A2dpu -0.03277 21 53A3dpu -0.00719 22 54A4dpu -0.00252 23 55A5dpu -0.00896 24 56A6dpu -0.00745 25 57A7dpu 0.01479 26 60strM 0.00936 27 61A1str -0.00011 28 62A2str -0.00412 29 71N71 -0.00009 30 72N72 -0.00006 31 73N73 -0.00007 32 ------------------------------------- New PDF parameters: 2 310 0.13426 0.00000 0.69360 2.87008 0.71169 0.27977 -0.15536 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 1 705 0.32417 0.00000 0.69360 3.55841 -0.71445 -1.35662 -0.61711 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0 848 0.38411 0.00000 0.52451 3.10654 2.98783 -1.70182 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -1 285 0.00000 0.00000 -0.00927 10.41198 0.69669 -0.47959 2.16978 -1.85929 4.05836 0.10169 -0.36256 1.30586 -0.99043 1.98572 -2 284 0.12820 0.00000 -0.00927 10.41198 0.69669 -0.47959 2.16978 -1.85929 4.05836 0.10169 -0.36256 1.30586 -0.99043 1.98572 -3 996 0.02925 0.55733 -0.20646 5.90965 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -4 60 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ------------------------------------- ChiStart, ChiEnd, DelChi = 4389.4 4389.3 0.0 ==== End of Ifit = 1 ======== # RUNS , PTS, Chi2Wt, C/dof, Chi2R, Chi2F0, Chi2F Chi2X LM-Var1, LM-Data1, LM-Coef1, . Init 0 3699 4375. 1.183 4375. 4375. 4389. 4385. 0.1000E-01 0.000 363.0 0.5000 0.000 1.591 0.000 0.000 0.000 Last 267 3699 4375. 1.183 4375. 4375. 4389. 4385. 0.1000E-01 0.000 363.3 0.5000 0.000 1.592 0.000 0.000 0.000 ------------------------------------- Expt.#: 245 246 249 250 253 542 544 545 565 567 573 160 101 102 104 108 109 110 111 124 125 126 127 145 147 169 201 203 204 225 227 234 260 261 266 267 268 281 504 514 Npt(IB) 33 17 11 34 45 158 140 185 8 7 16 1120 337 250 123 85 96 69 86 38 33 40 38 10 47 9 119 15 184 11 11 9 28 29 11 11 41 13 72 110 chi^2 / # pts. --------------------- InitX : 1.64 1.68 2.71 2.21 1.68 1.29 1.85 1.24 0.34 0.44 1.39 1.25 1.11 1.05 0.97 1.05 0.87 1.18 0.37 0.62 1.23 0.76 0.51 0.69 1.23 1.87 0.81 0.48 1.27 0.82 1.22 0.93 0.60 1.67 0.89 1.16 1.01 1.90 1.65 1.01 LastX : 1.64 1.67 2.71 2.21 1.68 1.29 1.84 1.24 0.34 0.44 1.39 1.25 1.11 1.05 0.97 1.05 0.87 1.18 0.37 0.62 1.23 0.76 0.51 0.69 1.23 1.87 0.81 0.47 1.27 0.82 1.22 0.93 0.60 1.68 0.89 1.16 1.01 1.90 1.65 1.01 Exptl norm fac --------------------- InitN : 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97 0.97 1.00 1.01 1.01 1.03 1.03 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 LastN : 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 0.97 0.97 1.00 1.01 1.01 1.03 1.03 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 Tier 2 penalties --------------------- InitS : 2.27 1.76 2.93 3.84 2.75 2.39 5.75 2.16 -1.64 -1.16 1.11 5.52 1.46 0.58 -0.20 0.39 -0.90 1.06 -5.48 -1.85 0.96 -1.10 -2.53 -0.64 1.09 1.64 -1.54 -1.67 2.40 -0.30 0.63 -0.00 -1.68 2.23 -0.13 0.49 0.13 1.95 3.33 0.14 LastS : 2.27 1.75 2.93 3.84 2.75 2.39 5.74 2.16 -1.64 -1.16 1.11 5.53 1.46 0.58 -0.20 0.39 -0.90 1.07 -5.48 -1.85 0.96 -1.10 -2.53 -0.64 1.10 1.64 -1.54 -1.69 2.40 -0.30 0.63 -0.00 -1.68 2.23 -0.13 0.49 0.14 1.95 3.33 0.14 Shifts of fitting parameters: 1A1glu -0.00005 1 2A2glu -0.00567 2 3A3glu 0.00255 3 4A4glu -0.00129 4 10gluM -0.00002 5 11A1uvl -0.00066 6 12A2uvl -0.00061 7 13A3uvl -0.00060 8 14A4uvl -0.00432 9 15A5uvl 0.00157 10 22A2dvl -0.02079 11 23A3dvl 0.02630 12 24A4dvl -0.00538 13 25A5dvl 0.01328 14 41A1dou -0.25828 15 42A2dou -0.00564 16 43A3dou 0.03556 17 44A4dou -0.04570 18 45A5dou 0.11499 19 51A1dpu 0.00071 20 52A2dpu -0.08059 21 53A3dpu -0.00987 22 54A4dpu -0.00645 23 55A5dpu 0.01479 24 56A6dpu -0.05146 25 57A7dpu 0.11856 26 60strM 0.01250 27 61A1str -0.00111 28 62A2str -0.01299 29 71N71 -0.00006 30 72N72 -0.00005 31 73N73 -0.00005 32 ------------------------------------- New PDF parameters: 2 310 0.13426 0.00000 0.69377 2.87268 0.71031 0.28021 -0.15493 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 1 705 0.32419 0.00000 0.69377 3.55775 -0.71304 -1.35567 -0.61526 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0 848 0.38409 0.00000 0.52486 3.11135 2.98627 -1.70118 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -1 285 0.00000 0.00000 -0.00888 10.36416 0.69401 -0.48352 2.19353 -1.90330 4.16213 0.02504 -0.36411 1.31244 -0.99826 1.99985 -2 284 0.12820 0.00000 -0.00888 10.36416 0.69401 -0.48352 2.19353 -1.90330 4.16213 0.02504 -0.36411 1.31244 -0.99826 1.99985 -3 996 0.02926 0.55750 -0.20746 5.90078 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 -4 60 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 ------------------------------------- ChiStart, ChiEnd, DelChi = 4389.3 4389.2 0.0 ==== End of Ifit = 2 ========