Wall clock time and date at job start Tue Mar 31 2020 20:31:18 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 1.52994 * 1 3 3 C 1.53004 * 109.47222 * 2 1 4 4 C 1.52998 * 109.47217 * 120.00060 * 2 1 3 5 5 O 1.42902 * 109.47226 * 64.99942 * 4 2 1 6 6 C 1.35894 * 117.00187 * 179.97438 * 5 4 2 7 7 C 1.38813 * 120.01768 * 359.72781 * 6 5 4 8 8 C 1.38178 * 120.08722 * 179.71881 * 7 6 5 9 9 C 1.38155 * 120.13010 * 0.55324 * 8 7 6 10 10 C 1.38923 * 120.03525 * 359.72274 * 9 8 7 11 11 N 1.39671 * 120.04602 * 179.97438 * 10 9 8 12 12 C 1.46504 * 120.00104 * 0.02562 * 11 10 9 13 13 C 1.52994 * 109.47521 * 180.02562 * 12 11 10 14 14 H 1.09001 * 109.47329 * 59.99453 * 13 12 11 15 15 O 1.42909 * 109.46874 * 300.00122 * 13 12 11 16 16 C 1.53000 * 109.47362 * 180.02562 * 13 12 11 17 17 N 1.46900 * 109.47069 * 180.46175 * 16 13 12 18 18 C 1.46900 * 110.99840 * 199.84958 * 17 16 13 19 19 C 1.46897 * 111.00050 * 75.89489 * 17 16 13 20 20 C 1.50699 * 109.46947 * 190.00090 * 19 17 16 21 21 H 1.07993 * 120.00359 * 359.97438 * 20 19 17 22 22 C 1.37880 * 119.99891 * 180.02562 * 20 19 17 23 23 N 1.31511 * 120.00080 * 359.97438 * 22 20 19 24 24 Si 1.86805 * 120.00110 * 179.97438 * 22 20 19 25 25 H 1.48501 * 109.47192 * 89.99817 * 24 22 20 26 26 H 1.48498 * 109.47474 * 209.99906 * 24 22 20 27 27 H 1.48505 * 109.46795 * 329.99791 * 24 22 20 28 28 C 1.38580 * 120.01681 * 179.97438 * 6 5 4 29 29 H 1.09006 * 109.47566 * 180.02562 * 1 2 3 30 30 H 1.09001 * 109.47091 * 299.99778 * 1 2 3 31 31 H 1.09004 * 109.47561 * 59.99432 * 1 2 3 32 32 H 1.09001 * 109.47091 * 240.00222 * 2 1 3 33 33 H 1.08999 * 109.46500 * 180.02562 * 3 2 1 34 34 H 1.08997 * 109.46969 * 299.99910 * 3 2 1 35 35 H 1.09001 * 109.46906 * 60.00109 * 3 2 1 36 36 H 1.08999 * 109.47098 * 184.99790 * 4 2 1 37 37 H 1.08995 * 109.47255 * 304.99747 * 4 2 1 38 38 H 1.07990 * 119.95298 * 359.97438 * 7 6 5 39 39 H 1.08004 * 119.93140 * 180.25090 * 8 7 6 40 40 H 1.08002 * 119.97850 * 179.69844 * 9 8 7 41 41 H 0.96996 * 120.00432 * 180.02562 * 11 10 9 42 42 H 1.09005 * 109.46777 * 300.00785 * 12 11 10 43 43 H 1.09000 * 109.46790 * 59.99676 * 12 11 10 44 44 H 0.96702 * 113.99716 * 299.99987 * 15 13 12 45 45 H 1.09003 * 109.46490 * 300.46010 * 16 13 12 46 46 H 1.08993 * 109.46957 * 60.46077 * 16 13 12 47 47 H 1.08998 * 109.47190 * 64.82044 * 18 17 16 48 48 H 1.09004 * 109.47195 * 184.82052 * 18 17 16 49 49 H 1.08998 * 109.47133 * 304.81658 * 18 17 16 50 50 H 1.09005 * 109.47387 * 309.99831 * 19 17 16 51 51 H 1.09001 * 109.47335 * 70.00145 * 19 17 16 52 52 H 0.97002 * 120.00147 * 180.02562 * 23 22 20 53 53 H 1.08001 * 120.06400 * 359.97438 * 28 6 5 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 1.2492 5 8 1.6619 -2.0982 1.1920 6 6 2.0405 -2.8857 2.2328 7 6 2.7664 -2.3445 3.2850 8 6 3.1471 -3.1426 4.3467 9 6 2.8167 -4.4840 4.3594 10 6 2.0953 -5.0324 3.3063 11 7 1.7616 -6.3886 3.3186 12 6 2.1718 -7.2338 4.4428 13 6 1.6841 -8.6650 4.2095 14 1 2.1183 -9.0511 3.2873 15 8 0.2589 -8.6713 4.1040 16 6 2.1119 -9.5475 5.3838 17 7 1.6531 -10.9240 5.1545 18 6 1.6141 -11.6823 6.4121 19 6 2.4943 -11.6002 4.1580 20 6 1.8573 -12.9090 3.7679 21 1 0.9214 -13.2087 4.2157 22 6 2.4698 -13.7243 2.8399 23 7 3.6098 -13.3596 2.2949 24 14 1.6805 -15.3470 2.3567 25 1 0.7734 -15.1315 1.2009 26 1 2.7381 -16.3196 1.9814 27 1 0.9026 -15.8800 3.5040 28 6 1.7066 -4.2306 2.2417 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5139 -0.8899 32 1 1.8933 -0.5138 -0.8900 33 1 3.1300 1.4424 -0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.6767 1.9563 0.8900 36 1 3.1263 -0.6444 1.2951 37 1 1.6054 -0.2618 2.1369 38 1 3.0303 -1.2974 3.2757 39 1 3.7083 -2.7180 5.1660 40 1 3.1197 -5.1067 5.1882 41 1 1.2583 -6.7710 2.5829 42 1 3.2589 -7.2292 4.5230 43 1 1.7379 -6.8474 5.3651 44 1 -0.1952 -8.3397 4.8908 45 1 3.1985 -9.5362 5.4697 46 1 1.6707 -9.1661 6.3046 47 1 0.8669 -11.2471 7.0757 48 1 1.3540 -12.7199 6.2028 49 1 2.5925 -11.6425 6.8909 50 1 2.5932 -10.9671 3.2762 51 1 3.4805 -11.7884 4.5825 52 1 4.0405 -13.9330 1.6417 53 1 1.1450 -4.6541 1.4222 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) 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 ZINC000579344620.mol2 53 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 20:31:18 Heat of formation + Delta-G solvation = -71.041453 kcal Electronic energy + Delta-G solvation = -28298.299384 eV Core-core repulsion = 24362.712589 eV Total energy + Delta-G solvation = -3935.586796 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -40.29729 -38.74992 -37.78317 -35.96043 -35.48651 -34.39571 -32.50971 -31.03647 -29.97855 -28.50167 -27.56046 -27.31644 -26.91792 -25.62963 -23.65251 -22.91717 -21.91280 -21.16864 -20.48213 -20.10733 -18.29930 -16.89715 -16.55666 -16.44743 -16.12282 -15.80411 -15.75703 -15.46493 -14.88712 -14.73348 -14.55587 -14.26669 -13.88595 -13.79340 -13.60951 -13.46360 -13.36290 -13.14991 -12.83652 -12.63874 -12.52378 -12.28143 -11.98077 -11.72771 -11.61216 -11.50309 -11.49001 -11.33034 -11.20388 -10.96442 -10.92603 -10.83588 -10.76899 -10.63908 -10.39610 -10.01666 -9.80712 -9.72716 -9.17636 -8.43487 -8.36524 -7.45255 -7.25245 -6.03166 -4.03904 1.43863 1.57865 2.88460 3.32913 3.38689 3.42027 3.50297 3.83642 4.36768 4.41407 4.42075 4.59746 4.66437 4.76025 4.79536 4.95215 5.03085 5.09433 5.14075 5.15644 5.23001 5.25282 5.28602 5.33716 5.35890 5.43815 5.50594 5.50653 5.53695 5.59338 5.64407 5.64930 5.82301 5.89979 5.94311 5.96960 6.09306 6.22747 6.28074 6.28491 6.36269 6.47232 6.54354 6.70379 7.21701 7.27886 7.28768 7.39025 7.73460 7.78460 7.99520 8.06456 8.17614 8.52846 9.03356 9.60161 11.07849 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.017727 B = 0.001746 C = 0.001658 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1579.126010 B =16031.181218 C =16882.657759 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.096 4.096 3 C -0.146 4.146 4 C 0.066 3.934 5 O -0.315 6.315 6 C 0.174 3.826 7 C -0.273 4.273 8 C -0.035 4.035 9 C -0.236 4.236 10 C 0.259 3.741 11 N -0.732 5.732 12 C 0.093 3.907 13 C 0.104 3.896 14 H 0.109 0.891 15 O -0.539 6.539 16 C 0.028 3.972 17 N -0.531 5.531 18 C 0.038 3.962 19 C 0.192 3.808 20 C -0.506 4.506 21 H 0.064 0.936 22 C 0.054 3.946 23 N -0.899 5.899 24 Si 0.898 3.102 25 H -0.280 1.280 26 H -0.288 1.288 27 H -0.274 1.274 28 C -0.234 4.234 29 H 0.064 0.936 30 H 0.053 0.947 31 H 0.056 0.944 32 H 0.081 0.919 33 H 0.057 0.943 34 H 0.064 0.936 35 H 0.057 0.943 36 H 0.061 0.939 37 H 0.061 0.939 38 H 0.119 0.881 39 H 0.120 0.880 40 H 0.121 0.879 41 H 0.407 0.593 42 H 0.068 0.932 43 H 0.061 0.939 44 H 0.365 0.635 45 H 0.035 0.965 46 H 0.062 0.938 47 H 0.044 0.956 48 H 0.077 0.923 49 H 0.008 0.992 50 H 0.030 0.970 51 H -0.011 1.011 52 H 0.261 0.739 53 H 0.127 0.873 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.085 28.142 2.160 28.302 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 -0.205 4.205 2 C -0.115 4.115 3 C -0.203 4.203 4 C -0.010 4.010 5 O -0.228 6.228 6 C 0.128 3.872 7 C -0.294 4.294 8 C -0.053 4.053 9 C -0.259 4.259 10 C 0.153 3.847 11 N -0.360 5.360 12 C -0.032 4.032 13 C 0.044 3.956 14 H 0.126 0.874 15 O -0.342 6.342 16 C -0.102 4.102 17 N -0.255 5.255 18 C -0.111 4.111 19 C 0.067 3.933 20 C -0.544 4.544 21 H 0.082 0.918 22 C -0.147 4.147 23 N -0.539 5.539 24 Si 0.726 3.274 25 H -0.206 1.206 26 H -0.214 1.214 27 H -0.199 1.199 28 C -0.257 4.257 29 H 0.083 0.917 30 H 0.072 0.928 31 H 0.075 0.925 32 H 0.099 0.901 33 H 0.077 0.923 34 H 0.083 0.917 35 H 0.076 0.924 36 H 0.079 0.921 37 H 0.079 0.921 38 H 0.137 0.863 39 H 0.138 0.862 40 H 0.139 0.861 41 H 0.243 0.757 42 H 0.086 0.914 43 H 0.079 0.921 44 H 0.211 0.789 45 H 0.053 0.947 46 H 0.081 0.919 47 H 0.063 0.937 48 H 0.096 0.904 49 H 0.027 0.973 50 H 0.048 0.952 51 H 0.007 0.993 52 H 0.071 0.929 53 H 0.145 0.855 Dipole moment (debyes) X Y Z Total from point charges -2.334 27.664 1.250 27.790 hybrid contribution 0.527 -0.711 0.463 0.999 sum -1.807 26.953 1.714 27.068 Atomic orbital electron populations 1.21821 0.94312 1.02683 1.01641 1.21137 0.97029 0.95755 0.97553 1.21782 1.01212 0.94858 1.02466 1.22866 0.99466 0.79699 0.98951 1.86021 1.74225 1.20721 1.41847 1.18559 0.92406 0.89933 0.86277 1.20897 1.10138 1.00657 0.97694 1.20613 0.95540 0.92800 0.96396 1.20553 1.08566 0.96112 1.00620 1.17475 0.90865 0.83956 0.92388 1.44659 1.61182 1.05357 1.24812 1.22113 1.00078 0.91634 0.89409 1.22132 0.82083 0.90610 1.00772 0.87361 1.86677 1.17131 1.87951 1.42425 1.22588 0.98101 0.92637 0.96843 1.62014 1.54131 0.99756 1.09561 1.22228 0.97813 1.00227 0.90825 1.19775 0.89999 0.93946 0.89574 1.21149 1.07300 1.02760 1.23226 0.91833 1.24990 0.94969 0.98497 0.96203 1.69952 1.16909 1.37961 1.29099 0.86491 0.78831 0.83125 0.78911 1.20604 1.21365 1.19870 1.19658 1.12772 0.91492 1.01796 0.91725 0.92756 0.92535 0.90056 0.92347 0.91736 0.92354 0.92088 0.92062 0.86289 0.86190 0.86137 0.75686 0.91403 0.92075 0.78937 0.94662 0.91902 0.93697 0.90390 0.97321 0.95217 0.99314 0.92944 0.85522 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.15 -1.01 9.09 37.15 0.34 -0.67 16 2 C -0.10 -0.65 3.16 -90.62 -0.29 -0.93 16 3 C -0.15 -0.71 9.19 37.16 0.34 -0.37 16 4 C 0.07 0.53 4.12 37.16 0.15 0.68 16 5 O -0.31 -3.57 9.67 -19.41 -0.19 -3.75 16 6 C 0.17 2.12 6.68 -39.24 -0.26 1.86 16 7 C -0.27 -2.94 9.04 -39.39 -0.36 -3.30 16 8 C -0.03 -0.36 10.03 -39.63 -0.40 -0.76 16 9 C -0.24 -2.75 9.31 -39.36 -0.37 -3.12 16 10 C 0.26 3.29 6.65 -83.81 -0.56 2.73 16 11 N -0.73 -9.14 5.62 -58.65 -0.33 -9.47 16 12 C 0.09 1.12 4.57 -4.04 -0.02 1.10 16 13 C 0.10 1.58 3.12 -26.73 -0.08 1.49 16 14 H 0.11 1.97 6.78 -51.93 -0.35 1.62 16 15 O -0.54 -8.43 12.96 -35.23 -0.46 -8.89 16 16 C 0.03 0.46 4.66 -3.82 -0.02 0.44 16 17 N -0.53 -11.11 4.56 -244.37 -1.11 -12.23 16 18 C 0.04 0.71 9.37 60.06 0.56 1.28 16 19 C 0.19 4.94 4.55 -4.98 -0.02 4.92 16 20 C -0.51 -14.26 8.39 -34.44 -0.29 -14.55 16 21 H 0.06 1.78 7.16 -52.49 -0.38 1.41 16 22 C 0.05 1.55 5.46 -17.82 -0.10 1.46 16 23 N -0.90 -26.77 13.29 55.43 0.74 -26.03 16 24 Si 0.90 21.82 29.54 -169.99 -5.02 16.80 16 25 H -0.28 -6.77 7.11 56.52 0.40 -6.36 16 26 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 27 H -0.27 -6.50 7.11 56.52 0.40 -6.10 16 28 C -0.23 -3.00 9.83 -39.24 -0.39 -3.38 16 29 H 0.06 0.53 7.82 -51.93 -0.41 0.13 16 30 H 0.05 0.35 8.14 -51.93 -0.42 -0.08 16 31 H 0.06 0.33 8.14 -51.93 -0.42 -0.10 16 32 H 0.08 0.59 8.14 -51.93 -0.42 0.16 16 33 H 0.06 0.26 8.14 -51.93 -0.42 -0.16 16 34 H 0.06 0.28 8.14 -51.93 -0.42 -0.15 16 35 H 0.06 0.26 8.14 -51.93 -0.42 -0.17 16 36 H 0.06 0.45 7.65 -51.93 -0.40 0.05 16 37 H 0.06 0.45 7.67 -51.93 -0.40 0.05 16 38 H 0.12 1.04 6.29 -52.49 -0.33 0.71 16 39 H 0.12 0.97 8.06 -52.48 -0.42 0.54 16 40 H 0.12 1.27 6.73 -52.49 -0.35 0.92 16 41 H 0.41 5.22 8.36 -40.82 -0.34 4.88 16 42 H 0.07 0.81 7.95 -51.93 -0.41 0.40 16 43 H 0.06 0.65 7.95 -51.93 -0.41 0.23 16 44 H 0.36 4.37 9.04 45.56 0.41 4.79 16 45 H 0.04 0.58 8.00 -51.93 -0.42 0.17 16 46 H 0.06 0.86 7.94 -51.93 -0.41 0.45 16 47 H 0.04 0.72 8.14 -51.93 -0.42 0.30 16 48 H 0.08 1.62 6.67 -51.93 -0.35 1.27 16 49 H 0.01 0.15 8.13 -51.93 -0.42 -0.27 16 50 H 0.03 0.81 6.63 -51.93 -0.34 0.47 16 51 H -0.01 -0.30 8.12 -51.93 -0.42 -0.72 16 52 H 0.26 7.36 8.31 -40.82 -0.34 7.02 16 53 H 0.13 1.57 8.06 -52.49 -0.42 1.15 16 LS Contribution 424.47 15.07 6.40 6.40 Total: -1.00 -31.80 424.47 -10.39 -42.19 By element: Atomic # 1 Polarization: 14.77 SS G_CDS: -8.67 Total: 6.10 kcal Atomic # 6 Polarization: -9.37 SS G_CDS: -1.74 Total: -11.11 kcal Atomic # 7 Polarization: -47.02 SS G_CDS: -0.71 Total: -47.73 kcal Atomic # 8 Polarization: -12.00 SS G_CDS: -0.64 Total: -12.64 kcal Atomic # 14 Polarization: 21.82 SS G_CDS: -5.02 Total: 16.80 kcal Total LS contribution 6.40 Total: 6.40 kcal Total: -31.80 -10.39 -42.19 kcal The number of atoms in the molecule is 53 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. ZINC000579344620.mol2 53 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 -28.849 kcal (2) G-P(sol) polarization free energy of solvation -31.802 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -60.652 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.390 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.192 kcal (6) G-S(sol) free energy of system = (1) + (5) -71.041 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds