Wall clock time and date at job start Tue Mar 31 2020 21:13:46 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53005 * 1 3 3 C 1.52994 * 113.30736 * 2 1 4 4 C 1.55787 * 114.08179 * 227.21232 * 2 1 3 5 5 H 1.08997 * 114.12447 * 95.46665 * 4 2 1 6 6 N 1.46494 * 114.12730 * 323.08578 * 4 2 1 7 7 C 1.34776 * 120.00172 * 156.42001 * 6 4 2 8 8 O 1.21275 * 119.99766 * 4.53631 * 7 6 4 9 9 C 1.50696 * 119.99942 * 184.54142 * 7 6 4 10 10 C 1.53004 * 115.55036 * 278.44973 * 9 7 6 11 11 C 1.53006 * 109.46890 * 294.73887 * 10 9 7 12 12 F 1.39897 * 109.46662 * 184.54532 * 11 10 9 13 13 C 1.53003 * 117.49861 * 132.74749 * 9 7 6 14 14 C 1.53000 * 117.50204 * 64.12029 * 9 7 6 15 15 C 1.50008 * 83.85953 * 209.18329 * 4 2 1 16 16 H 1.08999 * 112.50180 * 283.89178 * 15 4 2 17 17 C 1.51198 * 126.17484 * 141.49788 * 15 4 2 18 18 C 1.54094 * 106.19489 * 198.56598 * 17 15 4 19 19 C 1.52496 * 112.66807 * 55.43505 * 18 17 15 20 20 N 1.47785 * 111.33873 * 312.91265 * 19 18 17 21 21 C 1.36927 * 122.77842 * 231.52764 * 20 19 18 22 22 H 1.08008 * 120.00030 * 143.48345 * 21 20 19 23 23 C 1.38810 * 120.00233 * 323.48001 * 21 20 19 24 24 N 1.31625 * 120.00318 * 168.58880 * 23 21 20 25 25 Si 1.86797 * 119.99991 * 348.58771 * 23 21 20 26 26 H 1.48498 * 109.47235 * 84.50212 * 25 23 21 27 27 H 1.48495 * 109.47321 * 204.50418 * 25 23 21 28 28 H 1.48498 * 109.47062 * 324.50257 * 25 23 21 29 29 C 1.45387 * 114.04062 * 52.87921 * 20 19 18 30 30 H 1.08999 * 112.09867 * 58.41175 * 29 20 19 31 31 H 1.09003 * 109.46861 * 283.20923 * 1 2 3 32 32 H 1.08997 * 109.47417 * 43.21413 * 1 2 3 33 33 H 1.09001 * 109.47067 * 163.21240 * 1 2 3 34 34 H 1.09000 * 109.46834 * 177.17852 * 3 2 1 35 35 H 1.08997 * 109.47645 * 297.17862 * 3 2 1 36 36 H 1.09002 * 109.47301 * 57.18064 * 3 2 1 37 37 H 0.97006 * 119.99704 * 336.42012 * 6 4 2 38 38 H 1.09002 * 109.46837 * 54.73493 * 10 9 7 39 39 H 1.08993 * 109.47298 * 174.73699 * 10 9 7 40 40 H 1.09000 * 109.46707 * 304.54166 * 11 10 9 41 41 H 1.08993 * 109.47628 * 64.54410 * 11 10 9 42 42 H 1.08997 * 117.49942 * 359.97438 * 13 9 7 43 43 H 1.09001 * 117.49881 * 145.01903 * 13 9 7 44 44 H 1.08997 * 117.50008 * 214.97713 * 14 9 7 45 45 H 1.09003 * 117.49868 * 0.02562 * 14 9 7 46 46 H 1.09003 * 110.10021 * 317.72981 * 17 15 4 47 47 H 1.08998 * 110.10136 * 79.39550 * 17 15 4 48 48 H 1.08992 * 108.84350 * 176.26107 * 18 17 15 49 49 H 1.08999 * 108.84078 * 294.72089 * 18 17 15 50 50 H 1.09002 * 109.00272 * 73.83188 * 19 18 17 51 51 H 1.09003 * 109.00443 * 192.67825 * 19 18 17 52 52 H 0.96999 * 119.99718 * 180.02562 * 24 23 21 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 6 2.1354 1.4051 0.0000 4 6 2.1657 -0.9661 -1.0438 5 1 2.4340 -0.4894 -1.9865 6 7 1.4342 -2.2231 -1.2196 7 6 1.5591 -2.9209 -2.3659 8 8 2.3392 -2.5523 -3.2182 9 6 0.7295 -4.1591 -2.5885 10 6 1.2611 -5.4360 -1.9345 11 6 2.5960 -5.8199 -2.5763 12 9 3.0311 -7.0417 -2.0518 13 6 0.0158 -4.2986 -3.9347 14 6 -0.7886 -3.9869 -2.6710 15 6 3.2891 -1.0394 -0.0523 16 1 3.9179 -0.1493 -0.0679 17 6 4.0881 -2.2733 0.3015 18 6 4.7664 -1.9734 1.6522 19 6 3.7696 -1.5702 2.7336 20 7 2.8177 -0.5551 2.2361 21 6 2.5753 0.6201 2.8956 22 1 2.3998 1.5271 2.3360 23 6 2.5551 0.6459 4.2833 24 7 2.5477 1.7978 4.9202 25 14 2.5385 -0.9542 5.2471 26 1 3.9291 -1.4496 5.4079 27 1 1.9387 -0.7199 6.5851 28 1 1.7345 -1.9650 4.5143 29 6 2.1420 -0.9301 1.0046 30 1 1.5851 -1.8612 1.1096 31 1 -0.3633 0.2348 1.0005 32 1 -0.3634 0.7489 -0.7036 33 1 -0.3633 -0.9839 -0.2968 34 1 3.2218 1.3326 0.0506 35 1 1.8481 1.9246 -0.9141 36 1 1.7676 1.9592 0.8636 37 1 0.8598 -2.5531 -0.5110 38 1 1.4067 -5.2645 -0.8680 39 1 0.5434 -6.2437 -2.0780 40 1 2.4673 -5.9126 -3.6547 41 1 3.3365 -5.0490 -2.3636 42 1 0.1461 -3.4947 -4.6591 43 1 -0.0750 -5.3004 -4.3547 44 1 -1.4085 -4.7836 -2.2597 45 1 -1.1872 -2.9780 -2.5646 46 1 3.4257 -3.1336 0.3978 47 1 4.8421 -2.4631 -0.4624 48 1 5.3028 -2.8630 1.9819 49 1 5.4815 -1.1624 1.5146 50 1 3.2218 -2.4546 3.0590 51 1 4.3147 -1.1584 3.5830 52 1 2.5339 1.8157 5.8899 RHF calculation, no. of doubly occupied orbitals= 65 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001689145838.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:13:46 Heat of formation + Delta-G solvation = 4.128021 kcal Electronic energy + Delta-G solvation = -32177.541443 eV Core-core repulsion = 28094.442457 eV Total energy + Delta-G solvation = -4083.098986 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -47.76904 -41.42410 -39.77063 -37.00875 -35.61609 -33.40397 -32.87417 -31.51494 -30.85352 -29.52710 -27.18615 -26.20182 -25.32291 -24.24445 -23.09312 -22.55565 -22.41895 -20.84834 -19.88605 -19.30938 -18.18462 -17.21370 -16.84016 -16.38490 -16.18737 -15.62509 -15.35969 -15.17056 -14.82542 -14.65617 -14.34605 -14.14051 -13.89629 -13.75953 -13.36943 -13.12558 -13.00699 -12.85827 -12.60181 -12.50069 -12.39704 -11.92445 -11.81816 -11.69413 -11.56207 -11.46810 -11.28992 -11.20095 -11.06319 -10.82899 -10.67477 -10.51694 -10.50338 -10.32809 -10.08926 -9.87492 -9.75145 -9.74303 -9.56464 -9.02938 -8.77827 -8.46289 -6.69993 -5.96634 -3.44917 2.51761 2.96875 3.28997 3.31026 3.43405 3.45597 4.06986 4.36745 4.44122 4.49244 4.53104 4.56461 4.70826 4.75701 4.82880 4.94569 5.01239 5.10873 5.15832 5.28146 5.33466 5.44245 5.49112 5.51174 5.52442 5.59791 5.65052 5.75326 5.75771 5.77342 5.84607 5.86945 5.98161 6.02999 6.07114 6.22561 6.32645 6.36757 6.39509 6.43412 6.49651 6.56333 6.61341 6.72583 6.75909 6.84057 6.88992 7.11438 7.53433 7.99671 8.20434 8.41243 8.91011 9.68965 10.19721 11.18465 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.013910 B = 0.003954 C = 0.003552 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2012.405483 B = 7079.311760 C = 7881.174166 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.136 4.136 2 C -0.061 4.061 3 C -0.121 4.121 4 C 0.138 3.862 5 H 0.097 0.903 6 N -0.696 5.696 7 C 0.551 3.449 8 O -0.535 6.535 9 C -0.160 4.160 10 C -0.106 4.106 11 C 0.062 3.938 12 F -0.219 7.219 13 C -0.144 4.144 14 C -0.157 4.157 15 C -0.170 4.170 16 H 0.105 0.895 17 C -0.084 4.084 18 C -0.130 4.130 19 C 0.126 3.874 20 N -0.586 5.586 21 C -0.258 4.258 22 H 0.097 0.903 23 C 0.029 3.971 24 N -0.912 5.912 25 Si 0.888 3.112 26 H -0.286 1.286 27 H -0.305 1.305 28 H -0.274 1.274 29 C 0.151 3.849 30 H 0.046 0.954 31 H 0.066 0.934 32 H 0.051 0.949 33 H 0.047 0.953 34 H 0.066 0.934 35 H 0.042 0.958 36 H 0.081 0.919 37 H 0.402 0.598 38 H 0.083 0.917 39 H 0.085 0.915 40 H 0.078 0.922 41 H 0.077 0.923 42 H 0.103 0.897 43 H 0.104 0.896 44 H 0.105 0.895 45 H 0.103 0.897 46 H 0.050 0.950 47 H 0.047 0.953 48 H 0.051 0.949 49 H 0.059 0.941 50 H 0.018 0.982 51 H 0.070 0.930 52 H 0.262 0.738 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.263 -11.995 -15.239 20.094 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.193 4.193 2 C -0.062 4.062 3 C -0.178 4.178 4 C 0.033 3.967 5 H 0.115 0.885 6 N -0.346 5.346 7 C 0.336 3.664 8 O -0.412 6.412 9 C -0.163 4.163 10 C -0.144 4.144 11 C 0.007 3.993 12 F -0.201 7.201 13 C -0.181 4.181 14 C -0.194 4.194 15 C -0.191 4.191 16 H 0.123 0.877 17 C -0.121 4.121 18 C -0.169 4.169 19 C 0.001 3.999 20 N -0.309 5.309 21 C -0.387 4.387 22 H 0.114 0.886 23 C -0.171 4.171 24 N -0.555 5.555 25 Si 0.719 3.281 26 H -0.214 1.214 27 H -0.233 1.233 28 H -0.199 1.199 29 C 0.043 3.957 30 H 0.063 0.937 31 H 0.085 0.915 32 H 0.070 0.930 33 H 0.066 0.934 34 H 0.084 0.916 35 H 0.061 0.939 36 H 0.100 0.900 37 H 0.238 0.762 38 H 0.102 0.898 39 H 0.104 0.896 40 H 0.096 0.904 41 H 0.096 0.904 42 H 0.122 0.878 43 H 0.122 0.878 44 H 0.123 0.877 45 H 0.121 0.879 46 H 0.068 0.932 47 H 0.066 0.934 48 H 0.069 0.931 49 H 0.078 0.922 50 H 0.036 0.964 51 H 0.088 0.912 52 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -4.696 -11.602 -15.620 20.016 hybrid contribution -0.209 -1.176 1.316 1.778 sum -4.905 -12.779 -14.304 19.798 Atomic orbital electron populations 1.21688 0.94615 1.00639 1.02352 1.21845 0.94731 0.95553 0.94087 1.21733 1.01271 0.93292 1.01461 1.21532 0.92810 0.84291 0.98096 0.88464 1.45712 1.48042 1.23291 1.17589 1.19377 0.82130 0.83181 0.81713 1.90700 1.37041 1.69140 1.44273 1.21319 0.95300 0.95191 1.04479 1.21606 0.97159 0.94810 1.00820 1.21947 0.96266 0.82344 0.98696 1.92763 1.91213 1.47168 1.88919 1.23018 1.00955 1.03875 0.90265 1.23149 0.90850 1.03981 1.01466 1.23365 0.97280 0.99830 0.98632 0.87706 1.20994 0.98255 0.96756 0.96136 1.21923 0.98920 1.00180 0.95915 1.21274 0.91058 0.91847 0.95682 1.44067 1.41517 1.18688 1.26662 1.19076 1.44627 0.86078 0.88887 0.88623 1.25594 0.98440 0.96060 0.96976 1.69755 1.53441 1.24152 1.08127 0.86886 0.77505 0.84939 0.78787 1.21385 1.23276 1.19921 1.21744 0.92660 0.94710 0.86597 0.93663 0.91527 0.92979 0.93401 0.91566 0.93907 0.89992 0.76187 0.89835 0.89616 0.90403 0.90429 0.87833 0.87789 0.87655 0.87887 0.93165 0.93414 0.93056 0.92206 0.96376 0.91208 0.92769 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.14 -1.89 9.27 37.16 0.34 -1.55 16 2 C -0.06 -0.95 1.39 -159.15 -0.22 -1.17 16 3 C -0.12 -1.99 7.88 37.15 0.29 -1.70 16 4 C 0.14 2.01 3.93 -71.82 -0.28 1.73 16 5 H 0.10 1.50 7.54 -51.93 -0.39 1.11 16 6 N -0.70 -8.64 4.17 -57.65 -0.24 -8.88 16 7 C 0.55 6.90 6.46 -10.99 -0.07 6.83 16 8 O -0.54 -8.57 16.66 5.56 0.09 -8.48 16 9 C -0.16 -1.46 1.87 -155.66 -0.29 -1.75 16 10 C -0.11 -0.91 5.54 -26.73 -0.15 -1.06 16 11 C 0.06 0.62 7.36 37.16 0.27 0.90 16 12 F -0.22 -2.62 17.36 2.25 0.04 -2.58 16 13 C -0.14 -1.12 9.89 -26.72 -0.26 -1.38 16 14 C -0.16 -1.13 9.92 -26.73 -0.27 -1.39 16 15 C -0.17 -2.78 2.96 -95.82 -0.28 -3.06 16 16 H 0.11 1.87 5.88 -51.93 -0.31 1.57 16 17 C -0.08 -1.34 5.94 -27.07 -0.16 -1.50 16 18 C -0.13 -2.26 5.89 -26.42 -0.16 -2.42 16 19 C 0.13 2.64 4.19 -3.59 -0.02 2.63 16 20 N -0.59 -12.94 2.52 -169.92 -0.43 -13.37 16 21 C -0.26 -6.71 9.72 -15.06 -0.15 -6.85 16 22 H 0.10 2.59 5.04 -52.48 -0.26 2.33 16 23 C 0.03 0.80 5.38 -17.43 -0.09 0.71 16 24 N -0.91 -27.06 13.97 55.49 0.78 -26.29 16 25 Si 0.89 22.00 24.40 -169.99 -4.15 17.85 16 26 H -0.29 -6.91 6.49 56.52 0.37 -6.54 16 27 H -0.30 -7.75 7.11 56.52 0.40 -7.35 16 28 H -0.27 -6.68 6.75 56.52 0.38 -6.30 16 29 C 0.15 2.71 2.97 -72.12 -0.21 2.50 16 30 H 0.05 0.81 6.54 -51.93 -0.34 0.47 16 31 H 0.07 1.05 8.14 -51.93 -0.42 0.63 16 32 H 0.05 0.66 8.12 -51.93 -0.42 0.24 16 33 H 0.05 0.57 6.38 -51.93 -0.33 0.24 16 34 H 0.07 1.16 5.91 -51.93 -0.31 0.85 16 35 H 0.04 0.60 8.14 -51.93 -0.42 0.18 16 36 H 0.08 1.56 6.03 -51.93 -0.31 1.24 16 37 H 0.40 4.56 6.38 -40.82 -0.26 4.30 16 38 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 39 H 0.09 0.60 8.09 -51.93 -0.42 0.18 16 40 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 41 H 0.08 0.88 7.85 -51.93 -0.41 0.47 16 42 H 0.10 0.90 8.14 -51.93 -0.42 0.48 16 43 H 0.10 0.63 8.14 -51.93 -0.42 0.21 16 44 H 0.11 0.59 8.14 -51.93 -0.42 0.17 16 45 H 0.10 0.76 8.14 -51.93 -0.42 0.34 16 46 H 0.05 0.78 7.98 -51.93 -0.41 0.36 16 47 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 48 H 0.05 0.80 8.14 -51.93 -0.42 0.38 16 49 H 0.06 1.06 8.14 -51.93 -0.42 0.64 16 50 H 0.02 0.39 6.91 -51.93 -0.36 0.03 16 51 H 0.07 1.60 5.21 -51.93 -0.27 1.33 16 52 H 0.26 7.48 8.31 -40.82 -0.34 7.14 16 LS Contribution 391.73 15.07 5.90 5.90 Total: -1.00 -30.45 391.73 -8.36 -38.81 By element: Atomic # 1 Polarization: 14.24 SS G_CDS: -8.65 Total: 5.59 kcal Atomic # 6 Polarization: -6.85 SS G_CDS: -1.70 Total: -8.56 kcal Atomic # 7 Polarization: -48.65 SS G_CDS: 0.11 Total: -48.54 kcal Atomic # 8 Polarization: -8.57 SS G_CDS: 0.09 Total: -8.48 kcal Atomic # 9 Polarization: -2.62 SS G_CDS: 0.04 Total: -2.58 kcal Atomic # 14 Polarization: 22.00 SS G_CDS: -4.15 Total: 17.85 kcal Total LS contribution 5.90 Total: 5.90 kcal Total: -30.45 -8.36 -38.81 kcal The number of atoms in the molecule is 52 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001689145838.mol2 52 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute 42.933 kcal (2) G-P(sol) polarization free energy of solvation -30.450 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 12.484 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.356 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.805 kcal (6) G-S(sol) free energy of system = (1) + (5) 4.128 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds