Wall clock time and date at job start Sat Apr 11 2020 06:11:57 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 1.52997 * 1 3 3 C 1.50704 * 109.47003 * 2 1 4 4 O 1.21277 * 120.00097 * 359.97438 * 3 2 1 5 5 N 1.34781 * 119.99783 * 180.02562 * 3 2 1 6 6 C 1.46499 * 119.99752 * 179.97438 * 5 3 2 7 7 H 1.09000 * 109.47036 * 324.99965 * 6 5 3 8 8 C 1.52995 * 109.47046 * 84.99927 * 6 5 3 9 9 C 1.50703 * 109.46890 * 204.99830 * 6 5 3 10 10 O 1.21281 * 120.00089 * 0.02562 * 9 6 5 11 11 N 1.34775 * 119.99586 * 180.02562 * 9 6 5 12 12 C 1.46510 * 119.99637 * 180.02562 * 11 9 6 13 13 C 1.53002 * 109.46941 * 179.97438 * 12 11 9 14 14 C 1.52996 * 109.47053 * 179.97438 * 13 12 11 15 15 N 1.46902 * 109.47179 * 179.97438 * 14 13 12 16 16 C 1.46893 * 111.00018 * 294.30832 * 15 14 13 17 17 C 1.53242 * 109.34083 * 172.74761 * 16 15 14 18 18 N 1.47077 * 108.52065 * 53.82605 * 17 16 15 19 19 C 1.36941 * 120.88275 * 128.84209 * 18 17 16 20 20 H 1.07996 * 120.00235 * 206.55854 * 19 18 17 21 21 C 1.38807 * 119.99553 * 26.55493 * 19 18 17 22 22 N 1.31619 * 120.00396 * 17.03314 * 21 19 18 23 23 Si 1.86803 * 120.00042 * 197.02870 * 21 19 18 24 24 H 1.48504 * 109.46934 * 0.02562 * 23 21 19 25 25 H 1.48500 * 109.47208 * 120.00233 * 23 21 19 26 26 H 1.48501 * 109.47595 * 240.00562 * 23 21 19 27 27 C 1.47078 * 118.23767 * 308.81515 * 18 17 16 28 28 C 1.46902 * 110.99890 * 170.00550 * 15 14 13 29 29 H 1.08996 * 109.47116 * 59.99987 * 1 2 3 30 30 H 1.09006 * 109.47123 * 180.02562 * 1 2 3 31 31 H 1.09009 * 109.47201 * 300.00047 * 1 2 3 32 32 H 1.08997 * 109.47391 * 239.99278 * 2 1 3 33 33 H 1.09008 * 109.47271 * 119.99623 * 2 1 3 34 34 H 0.96997 * 119.99771 * 359.97438 * 5 3 2 35 35 H 1.09000 * 109.47173 * 60.00122 * 8 6 5 36 36 H 1.09001 * 109.47627 * 179.97438 * 8 6 5 37 37 H 1.08998 * 109.47328 * 300.00109 * 8 6 5 38 38 H 0.97001 * 120.00681 * 359.97438 * 11 9 6 39 39 H 1.09001 * 109.46672 * 299.99775 * 12 11 9 40 40 H 1.08992 * 109.47258 * 60.00056 * 12 11 9 41 41 H 1.09000 * 109.47050 * 299.99900 * 13 12 11 42 42 H 1.09001 * 109.47072 * 59.99988 * 13 12 11 43 43 H 1.09000 * 109.47767 * 300.00687 * 14 13 12 44 44 H 1.09001 * 109.46704 * 60.00359 * 14 13 12 45 45 H 1.09008 * 109.49257 * 292.69971 * 16 15 14 46 46 H 1.09001 * 109.49972 * 52.78360 * 16 15 14 47 47 H 1.09005 * 109.62711 * 294.12033 * 17 16 15 48 48 H 1.08996 * 109.63101 * 173.54041 * 17 16 15 49 49 H 0.96999 * 120.00226 * 179.97438 * 22 21 19 50 50 H 1.08998 * 109.63244 * 291.47799 * 27 18 17 51 51 H 1.09007 * 109.78630 * 170.98857 * 27 18 17 52 52 H 1.08998 * 109.48957 * 307.21497 * 28 15 14 53 53 H 1.08994 * 109.49712 * 67.29416 * 28 15 14 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 2.0323 1.4209 0.0000 4 8 1.2442 2.3427 -0.0005 5 7 3.3574 1.6671 -0.0005 6 6 3.8457 3.0483 -0.0011 7 1 3.1729 3.6713 -0.5905 8 6 3.8976 3.5715 1.4357 9 6 5.2270 3.0925 -0.6020 10 8 5.7517 2.0709 -0.9919 11 7 5.8793 4.2673 -0.7062 12 6 7.2219 4.3104 -1.2909 13 6 7.7320 5.7529 -1.2914 14 6 9.1343 5.7977 -1.9014 15 7 9.6238 7.1828 -1.9024 16 6 8.8186 8.0250 -2.7969 17 6 9.2419 9.4887 -2.6333 18 7 10.6959 9.5798 -2.8351 19 6 11.2286 10.4890 -3.7097 20 1 12.1826 10.2940 -4.1768 21 6 10.5422 11.6610 -3.9958 22 7 9.5714 12.0652 -3.2043 23 14 10.9965 12.6649 -5.5043 24 1 12.1124 11.9999 -6.2238 25 1 9.8193 12.7671 -6.4038 26 1 11.4186 14.0255 -5.0848 27 6 11.5628 8.6689 -2.0721 28 6 11.0481 7.2376 -2.2579 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3634 0.5139 0.8900 32 1 1.8933 -0.5139 -0.8899 33 1 1.8934 -0.5138 0.8901 34 1 3.9877 0.9298 -0.0005 35 1 4.5704 2.9485 2.0251 36 1 4.2614 4.5990 1.4354 37 1 2.8986 3.5395 1.8704 38 1 5.4595 5.0845 -0.3947 39 1 7.8947 3.6869 -0.7020 40 1 7.1845 3.9383 -2.3147 41 1 7.0590 6.3760 -1.8804 42 1 7.7693 6.1254 -0.2676 43 1 9.8071 5.1746 -1.3121 44 1 9.0973 5.4251 -2.9251 45 1 8.9768 7.7140 -3.8296 46 1 7.7637 7.9209 -2.5428 47 1 8.9892 9.8331 -1.6304 48 1 8.7302 10.1029 -3.3742 49 1 9.0920 12.8845 -3.4041 50 1 11.5331 8.9345 -1.0154 51 1 12.5868 8.7403 -2.4390 52 1 11.6101 6.5623 -1.6128 53 1 11.1752 6.9374 -3.2980 RHF calculation, no. of doubly occupied orbitals= 66 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 ZINC001690060029.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:57 Heat of formation + Delta-G solvation = -55.310624 kcal Electronic energy + Delta-G solvation = -29289.572023 eV Core-core repulsion = 25196.504066 eV Total energy + Delta-G solvation = -4093.067956 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.45 seconds Orbital eigenvalues (eV) -40.78339 -39.55651 -38.30802 -36.05928 -35.36987 -34.46314 -33.31981 -32.25951 -31.13818 -30.15072 -29.94646 -26.99485 -25.70584 -24.81167 -23.57842 -22.88120 -22.36476 -21.25299 -20.71147 -20.39736 -19.11666 -18.23365 -17.22578 -16.78746 -16.52388 -16.23243 -15.92162 -15.63501 -15.21185 -14.88217 -14.57812 -14.30685 -14.24681 -13.89639 -13.86584 -13.74247 -13.44163 -13.15011 -13.06125 -12.94460 -12.83398 -12.61919 -12.20233 -12.16465 -12.07425 -11.87375 -11.61863 -11.58879 -11.34811 -11.07196 -10.92642 -10.75571 -10.42336 -10.32386 -10.29984 -10.21453 -10.05133 -9.75494 -9.61196 -9.58239 -9.40810 -8.52564 -7.85812 -6.68066 -5.79669 -3.20602 2.15127 2.23840 2.44229 3.01887 3.35873 3.43945 3.46001 4.14049 4.26805 4.33183 4.49096 4.55840 4.63537 4.65936 4.70354 4.85924 4.97812 5.06538 5.12137 5.16458 5.30758 5.36966 5.38966 5.41352 5.44147 5.50828 5.54957 5.65981 5.66952 5.79096 5.86176 5.91937 5.93365 5.97127 6.07559 6.13649 6.16766 6.22416 6.33017 6.52777 6.67461 6.91474 7.05507 7.07690 7.23038 7.57705 7.62159 7.68863 7.75056 7.80698 7.81079 8.42080 9.20074 9.83475 10.41787 11.29217 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.022676 B = 0.001576 C = 0.001520 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1234.495279 B =17756.876257 C =18419.085371 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.137 4.137 2 C -0.143 4.143 3 C 0.514 3.486 4 O -0.540 6.540 5 N -0.716 5.716 6 C 0.123 3.877 7 H 0.115 0.885 8 C -0.160 4.160 9 C 0.511 3.489 10 O -0.539 6.539 11 N -0.720 5.720 12 C 0.121 3.879 13 C -0.129 4.129 14 C 0.059 3.941 15 N -0.533 5.533 16 C 0.033 3.967 17 C 0.178 3.822 18 N -0.596 5.596 19 C -0.251 4.251 20 H 0.066 0.934 21 C 0.001 3.999 22 N -0.903 5.903 23 Si 0.901 3.099 24 H -0.278 1.278 25 H -0.289 1.289 26 H -0.290 1.290 27 C 0.148 3.852 28 C 0.045 3.955 29 H 0.062 0.938 30 H 0.061 0.939 31 H 0.062 0.938 32 H 0.095 0.905 33 H 0.094 0.906 34 H 0.410 0.590 35 H 0.064 0.936 36 H 0.074 0.926 37 H 0.074 0.926 38 H 0.405 0.595 39 H 0.070 0.930 40 H 0.068 0.932 41 H 0.073 0.927 42 H 0.079 0.921 43 H 0.070 0.930 44 H 0.028 0.972 45 H 0.024 0.976 46 H 0.062 0.938 47 H 0.026 0.974 48 H 0.088 0.912 49 H 0.253 0.747 50 H 0.025 0.975 51 H 0.055 0.945 52 H 0.061 0.939 53 H 0.027 0.973 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.135 -23.388 8.862 28.250 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 -0.195 4.195 2 C -0.183 4.183 3 C 0.302 3.698 4 O -0.417 6.417 5 N -0.370 5.370 6 C 0.015 3.985 7 H 0.133 0.867 8 C -0.218 4.218 9 C 0.296 3.704 10 O -0.416 6.416 11 N -0.372 5.372 12 C -0.003 4.003 13 C -0.167 4.167 14 C -0.070 4.070 15 N -0.258 5.258 16 C -0.096 4.096 17 C 0.052 3.948 18 N -0.319 5.319 19 C -0.381 4.381 20 H 0.084 0.916 21 C -0.197 4.197 22 N -0.548 5.548 23 Si 0.731 3.269 24 H -0.203 1.203 25 H -0.216 1.216 26 H -0.217 1.217 27 C 0.022 3.978 28 C -0.085 4.085 29 H 0.081 0.919 30 H 0.080 0.920 31 H 0.081 0.919 32 H 0.113 0.887 33 H 0.112 0.888 34 H 0.247 0.753 35 H 0.083 0.917 36 H 0.093 0.907 37 H 0.093 0.907 38 H 0.240 0.760 39 H 0.088 0.912 40 H 0.086 0.914 41 H 0.091 0.909 42 H 0.097 0.903 43 H 0.088 0.912 44 H 0.047 0.953 45 H 0.042 0.958 46 H 0.080 0.920 47 H 0.044 0.956 48 H 0.106 0.894 49 H 0.063 0.937 50 H 0.043 0.957 51 H 0.074 0.926 52 H 0.080 0.920 53 H 0.046 0.954 Dipole moment (debyes) X Y Z Total from point charges -13.424 -23.101 9.010 28.196 hybrid contribution 0.476 0.329 -1.468 1.578 sum -12.948 -22.771 7.542 27.259 Atomic orbital electron populations 1.21537 0.92813 1.01715 1.03438 1.21628 0.98737 0.93327 1.04628 1.20859 0.81594 0.92186 0.75211 1.90714 1.55217 1.46501 1.49255 1.45828 1.07624 1.07823 1.75724 1.20763 0.93329 0.85814 0.98620 0.86711 1.22138 1.03817 1.01653 0.94207 1.20565 0.87303 0.83850 0.78700 1.90704 1.68406 1.33495 1.49035 1.45962 1.18482 1.09651 1.63122 1.21401 0.82146 0.97977 0.98783 1.21808 0.97370 0.94392 1.03122 1.21933 0.94995 0.91419 0.98692 1.61951 1.03346 1.07324 1.53160 1.22958 0.96065 0.97589 0.93029 1.20862 0.84502 0.89231 1.00224 1.44126 1.01000 1.39656 1.47109 1.19245 1.05330 0.96807 1.16709 0.91605 1.25015 0.99563 0.96247 0.98910 1.70036 1.25655 1.23098 1.36042 0.86235 0.77769 0.79914 0.82935 1.20314 1.21597 1.21697 1.20973 0.93876 0.87812 0.95173 1.22612 0.88015 0.99959 0.97873 0.91910 0.91970 0.91933 0.88681 0.88752 0.75295 0.91685 0.90715 0.90663 0.76021 0.91191 0.91406 0.90886 0.90252 0.91180 0.95332 0.95775 0.91985 0.95612 0.89411 0.93681 0.95691 0.92635 0.92031 0.95438 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.79 9.20 37.16 0.34 -0.45 16 2 C -0.14 -0.75 6.42 -27.88 -0.18 -0.93 16 3 C 0.51 4.38 7.79 -10.98 -0.09 4.29 16 4 O -0.54 -6.50 15.64 5.56 0.09 -6.41 16 5 N -0.72 -5.53 4.95 -54.93 -0.27 -5.80 16 6 C 0.12 0.98 2.98 -69.08 -0.21 0.77 16 7 H 0.12 0.97 7.58 -51.93 -0.39 0.57 16 8 C -0.16 -1.02 9.38 37.15 0.35 -0.67 16 9 C 0.51 4.86 7.22 -10.98 -0.08 4.78 16 10 O -0.54 -6.81 15.84 5.56 0.09 -6.72 16 11 N -0.72 -5.93 5.45 -60.29 -0.33 -6.26 16 12 C 0.12 1.14 5.68 -4.04 -0.02 1.12 16 13 C -0.13 -1.34 5.26 -26.73 -0.14 -1.48 16 14 C 0.06 0.76 4.96 -3.83 -0.02 0.74 16 15 N -0.53 -9.00 4.63 -234.32 -1.08 -10.08 16 16 C 0.03 0.61 5.46 -3.70 -0.02 0.59 16 17 C 0.18 4.23 5.42 -3.60 -0.02 4.21 16 18 N -0.60 -15.00 3.04 -172.01 -0.52 -15.52 16 19 C -0.25 -6.90 9.63 -15.06 -0.15 -7.05 16 20 H 0.07 1.78 7.88 -52.49 -0.41 1.37 16 21 C 0.00 0.03 4.93 -17.43 -0.09 -0.06 16 22 N -0.90 -26.10 11.15 55.49 0.62 -25.48 16 23 Si 0.90 21.61 29.59 -169.99 -5.03 16.58 16 24 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 25 H -0.29 -6.95 7.11 56.52 0.40 -6.54 16 26 H -0.29 -7.01 7.11 56.52 0.40 -6.60 16 27 C 0.15 3.13 6.69 -3.60 -0.02 3.10 16 28 C 0.04 0.79 5.62 -3.70 -0.02 0.77 16 29 H 0.06 0.44 8.10 -51.93 -0.42 0.02 16 30 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 31 H 0.06 0.41 8.10 -51.92 -0.42 -0.01 16 32 H 0.09 0.37 8.14 -51.93 -0.42 -0.05 16 33 H 0.09 0.31 8.14 -51.92 -0.42 -0.11 16 34 H 0.41 2.80 7.79 -40.82 -0.32 2.49 16 35 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 36 H 0.07 0.37 7.56 -51.93 -0.39 -0.02 16 37 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 38 H 0.40 2.48 7.89 -40.82 -0.32 2.16 16 39 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 40 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 41 H 0.07 0.80 6.40 -51.93 -0.33 0.46 16 42 H 0.08 0.83 8.14 -51.93 -0.42 0.41 16 43 H 0.07 0.82 7.97 -51.93 -0.41 0.41 16 44 H 0.03 0.38 8.12 -51.93 -0.42 -0.04 16 45 H 0.02 0.48 8.14 -51.92 -0.42 0.06 16 46 H 0.06 1.03 6.16 -51.93 -0.32 0.71 16 47 H 0.03 0.66 8.14 -51.93 -0.42 0.23 16 48 H 0.09 2.32 6.12 -51.93 -0.32 2.00 16 49 H 0.25 7.04 8.31 -40.82 -0.34 6.70 16 50 H 0.03 0.54 8.14 -51.93 -0.42 0.12 16 51 H 0.06 1.12 7.96 -51.93 -0.41 0.71 16 52 H 0.06 0.92 7.99 -51.93 -0.41 0.50 16 53 H 0.03 0.50 8.14 -51.93 -0.42 0.08 16 LS Contribution 419.90 15.07 6.33 6.33 Total: -1.00 -33.67 419.90 -10.00 -43.66 By element: Atomic # 1 Polarization: 9.49 SS G_CDS: -9.52 Total: -0.03 kcal Atomic # 6 Polarization: 10.08 SS G_CDS: -0.36 Total: 9.73 kcal Atomic # 7 Polarization: -61.55 SS G_CDS: -1.59 Total: -63.14 kcal Atomic # 8 Polarization: -13.30 SS G_CDS: 0.17 Total: -13.13 kcal Atomic # 14 Polarization: 21.61 SS G_CDS: -5.03 Total: 16.58 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -33.67 -10.00 -43.66 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. ZINC001690060029.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 -11.646 kcal (2) G-P(sol) polarization free energy of solvation -33.668 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -45.314 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.997 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.665 kcal (6) G-S(sol) free energy of system = (1) + (5) -55.311 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.45 seconds