Wall clock time and date at job start Sat Apr 11 2020 06:09:24 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 1.52998 * 1 3 3 O 1.42899 * 109.47227 * 2 1 4 4 C 1.42906 * 114.00270 * 179.97438 * 3 2 1 5 5 H 1.09002 * 112.84427 * 341.19872 * 4 3 2 6 6 C 1.53780 * 113.68777 * 112.46188 * 4 3 2 7 7 C 1.53954 * 87.10925 * 89.20233 * 6 4 3 8 8 H 1.09007 * 113.66490 * 139.89040 * 7 6 4 9 9 N 1.46496 * 113.61307 * 270.83780 * 7 6 4 10 10 C 1.34773 * 120.00103 * 252.42444 * 9 7 6 11 11 O 1.21351 * 120.00295 * 359.97438 * 10 9 7 12 12 C 1.49454 * 120.00086 * 180.02562 * 10 9 7 13 13 O 1.21357 * 119.99776 * 359.97438 * 12 10 9 14 14 N 1.34773 * 120.00086 * 180.02562 * 12 10 9 15 15 C 1.46502 * 119.99958 * 180.02562 * 14 12 10 16 16 C 1.52995 * 109.47121 * 180.02562 * 15 14 12 17 17 C 1.50706 * 109.47120 * 179.97438 * 16 15 14 18 18 H 1.08001 * 119.99887 * 359.97438 * 17 16 15 19 19 C 1.37878 * 120.00068 * 180.02562 * 17 16 15 20 20 N 1.31516 * 119.99749 * 359.97438 * 19 17 16 21 21 Si 1.86796 * 120.00253 * 179.97438 * 19 17 16 22 22 H 1.48508 * 109.46988 * 359.97438 * 21 19 17 23 23 H 1.48500 * 109.47168 * 119.99563 * 21 19 17 24 24 H 1.48495 * 109.47318 * 239.99814 * 21 19 17 25 25 C 1.53777 * 113.61878 * 210.00111 * 4 3 2 26 26 C 1.53001 * 113.61151 * 25.34600 * 25 4 3 27 27 C 1.52998 * 109.47020 * 73.93641 * 26 25 4 28 28 C 1.52993 * 113.61474 * 156.16984 * 25 4 3 29 29 C 1.53003 * 109.47384 * 166.27780 * 28 25 4 30 30 H 1.08999 * 109.46958 * 60.00186 * 1 2 3 31 31 H 1.08998 * 109.47170 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.47231 * 300.00226 * 1 2 3 33 33 H 1.08996 * 109.47231 * 239.99773 * 2 1 3 34 34 H 1.08999 * 109.46958 * 119.99814 * 2 1 3 35 35 H 1.09004 * 113.61311 * 203.67710 * 6 4 3 36 36 H 1.08992 * 113.61885 * 334.49689 * 6 4 3 37 37 H 0.97000 * 120.00022 * 72.42378 * 9 7 6 38 38 H 0.97000 * 119.99875 * 359.97438 * 14 12 10 39 39 H 1.09004 * 109.47088 * 299.99909 * 15 14 12 40 40 H 1.09003 * 109.47426 * 59.99469 * 15 14 12 41 41 H 1.09006 * 109.46822 * 299.99319 * 16 15 14 42 42 H 1.08994 * 109.47388 * 60.00009 * 16 15 14 43 43 H 0.97000 * 119.99863 * 180.02562 * 20 19 17 44 44 H 1.09006 * 109.46917 * 193.93305 * 26 25 4 45 45 H 1.08997 * 109.47161 * 313.92953 * 26 25 4 46 46 H 1.08996 * 109.47045 * 305.66141 * 27 26 25 47 47 H 1.09002 * 109.47467 * 65.66046 * 27 26 25 48 48 H 1.09001 * 109.47381 * 185.66725 * 27 26 25 49 49 H 1.09008 * 109.46966 * 286.27080 * 28 25 4 50 50 H 1.08994 * 109.47494 * 46.27162 * 28 25 4 51 51 H 1.09001 * 109.46987 * 58.65463 * 29 28 25 52 52 H 1.08994 * 109.47603 * 178.66181 * 29 28 25 53 53 H 1.08997 * 109.46685 * 298.66529 * 29 28 25 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 8 2.0063 1.3473 0.0000 4 6 3.4309 1.4601 0.0006 5 1 3.9278 0.5457 0.3247 6 6 4.0049 2.0451 -1.3007 7 6 3.8436 3.4337 -0.6558 8 1 4.6733 4.1104 -0.8608 9 7 2.5351 4.0456 -0.8997 10 6 2.4254 5.0852 -1.7503 11 8 3.4105 5.5148 -2.3139 12 6 1.0905 5.7098 -1.9987 13 8 0.1054 5.2806 -1.4348 14 7 0.9807 6.7491 -2.8498 15 6 -0.3277 7.3617 -3.0928 16 6 -0.1752 8.5107 -4.0915 17 6 -1.5213 9.1405 -4.3420 18 1 -2.3979 8.7591 -3.8395 19 6 -1.6338 10.2029 -5.2135 20 7 -0.5665 10.6671 -5.8258 21 14 -3.3023 10.9831 -5.5246 22 1 -4.3347 10.2813 -4.7202 23 1 -3.2595 12.4154 -5.1347 24 1 -3.6394 10.8726 -6.9666 25 6 3.9484 2.7253 0.7051 26 6 2.9861 3.2769 1.7589 27 6 3.0163 2.3788 2.9971 28 6 5.3833 2.5965 1.2201 29 6 5.9196 3.9815 1.5875 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 -0.3633 0.5138 0.8899 33 1 1.8933 -0.5138 -0.8899 34 1 1.8933 -0.5138 0.8900 35 1 5.0431 1.7679 -1.4833 36 1 3.3657 1.8878 -2.1694 37 1 1.7477 3.7026 -0.4490 38 1 1.7681 7.0919 -3.3008 39 1 -1.0087 6.6145 -3.5004 40 1 -0.7290 7.7458 -2.1549 41 1 0.5058 9.2581 -3.6843 42 1 0.2257 8.1262 -5.0293 43 1 -0.6456 11.4147 -6.4387 44 1 3.2898 4.2868 2.0351 45 1 1.9755 3.3002 1.3514 46 1 2.8109 1.3492 2.7042 47 1 4.0004 2.4346 3.4626 48 1 2.2592 2.7125 3.7067 49 1 5.3967 1.9561 2.1021 50 1 6.0102 2.1584 0.4435 51 1 5.2789 4.4294 2.3472 52 1 6.9333 3.8872 1.9767 53 1 5.9284 4.6147 0.7004 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 ZINC001324226567.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 06:09:24 Heat of formation + Delta-G solvation = -117.871606 kcal Electronic energy + Delta-G solvation = -30865.536804 eV Core-core repulsion = 26737.463249 eV Total energy + Delta-G solvation = -4128.073555 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -41.38857 -39.88711 -38.04136 -37.16085 -35.18545 -34.19812 -32.91210 -32.60558 -31.75046 -30.78600 -29.76924 -26.30624 -25.98463 -24.88899 -23.71683 -23.16877 -22.87631 -21.57247 -20.96479 -20.07395 -18.93104 -17.94295 -16.91887 -16.68962 -16.29605 -16.20368 -16.04754 -15.68340 -15.44971 -14.76445 -14.65865 -14.50163 -14.19330 -14.10517 -13.97822 -13.40244 -13.30279 -13.23334 -13.02656 -12.80890 -12.75997 -12.44340 -12.31587 -12.26565 -12.20625 -11.70221 -11.58296 -11.48635 -11.39168 -11.23490 -11.18135 -11.05704 -10.76542 -10.63163 -10.59447 -10.37336 -10.29100 -9.75356 -9.67038 -9.39304 -9.14940 -9.11603 -8.64147 -8.39441 -6.08398 -4.11781 1.70002 2.57958 3.16430 3.29250 3.36807 3.41572 3.49933 3.92483 4.12531 4.17157 4.42373 4.47665 4.52375 4.67549 4.75622 4.77714 4.83222 4.93278 5.00024 5.04768 5.09354 5.13401 5.21078 5.28566 5.31000 5.36231 5.44797 5.48234 5.57609 5.61356 5.63337 5.65716 5.69592 5.86593 5.87669 5.90487 5.97579 6.04013 6.20030 6.22798 6.28033 6.36963 6.65150 6.74571 6.93819 7.23923 7.51797 7.60963 7.77861 7.89680 8.03519 8.25432 8.40806 8.94178 9.53036 11.03202 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015929 B = 0.002221 C = 0.002081 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1757.357594 B =12603.251016 C =13453.571453 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C 0.061 3.939 3 O -0.361 6.361 4 C 0.074 3.926 5 H 0.074 0.926 6 C -0.174 4.174 7 C 0.134 3.866 8 H 0.107 0.893 9 N -0.679 5.679 10 C 0.509 3.491 11 O -0.524 6.524 12 C 0.497 3.503 13 O -0.531 6.531 14 N -0.687 5.687 15 C 0.119 3.881 16 C 0.011 3.989 17 C -0.522 4.522 18 H 0.061 0.939 19 C 0.059 3.941 20 N -0.892 5.892 21 Si 0.897 3.103 22 H -0.271 1.271 23 H -0.283 1.283 24 H -0.283 1.283 25 C -0.084 4.084 26 C -0.106 4.106 27 C -0.145 4.145 28 C -0.096 4.096 29 C -0.155 4.155 30 H 0.066 0.934 31 H 0.069 0.931 32 H 0.064 0.936 33 H 0.047 0.953 34 H 0.047 0.953 35 H 0.100 0.900 36 H 0.081 0.919 37 H 0.418 0.582 38 H 0.410 0.590 39 H 0.062 0.938 40 H 0.063 0.937 41 H 0.025 0.975 42 H 0.025 0.975 43 H 0.262 0.738 44 H 0.065 0.935 45 H 0.074 0.926 46 H 0.051 0.949 47 H 0.052 0.948 48 H 0.052 0.948 49 H 0.072 0.928 50 H 0.067 0.933 51 H 0.059 0.941 52 H 0.056 0.944 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.676 -23.327 16.516 31.267 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 -0.211 4.211 2 C -0.015 4.015 3 O -0.280 6.280 4 C 0.015 3.985 5 H 0.092 0.908 6 C -0.213 4.213 7 C 0.028 3.972 8 H 0.125 0.875 9 N -0.333 5.333 10 C 0.290 3.710 11 O -0.399 6.399 12 C 0.276 3.724 13 O -0.409 6.409 14 N -0.338 5.338 15 C -0.002 4.002 16 C -0.027 4.027 17 C -0.560 4.560 18 H 0.079 0.921 19 C -0.143 4.143 20 N -0.531 5.531 21 Si 0.725 3.275 22 H -0.196 1.196 23 H -0.209 1.209 24 H -0.209 1.209 25 C -0.085 4.085 26 C -0.144 4.144 27 C -0.202 4.202 28 C -0.134 4.134 29 C -0.212 4.212 30 H 0.085 0.915 31 H 0.088 0.912 32 H 0.083 0.917 33 H 0.065 0.935 34 H 0.065 0.935 35 H 0.118 0.882 36 H 0.099 0.901 37 H 0.258 0.742 38 H 0.246 0.754 39 H 0.081 0.919 40 H 0.081 0.919 41 H 0.043 0.957 42 H 0.043 0.957 43 H 0.072 0.928 44 H 0.084 0.916 45 H 0.092 0.908 46 H 0.071 0.929 47 H 0.071 0.929 48 H 0.072 0.928 49 H 0.091 0.909 50 H 0.086 0.914 51 H 0.078 0.922 52 H 0.075 0.925 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges 12.562 -23.002 16.370 30.901 hybrid contribution -0.685 0.210 -0.377 0.809 sum 11.877 -22.792 15.994 30.271 Atomic orbital electron populations 1.21756 0.93480 1.02219 1.03626 1.22508 0.95725 0.83508 0.99799 1.87851 1.19206 1.26512 1.94409 1.23130 0.82009 0.97405 0.95927 0.90761 1.23972 1.02063 0.96723 0.98531 1.21924 0.86366 0.94032 0.94916 0.87537 1.45440 1.11026 1.32130 1.44698 1.20470 0.89861 0.80772 0.79875 1.90738 1.38720 1.62188 1.48301 1.19985 0.88673 0.82156 0.81544 1.90734 1.38399 1.62410 1.49363 1.46216 1.13656 1.31222 1.42715 1.21916 0.81228 0.96440 1.00659 1.19359 0.98398 0.91544 0.93380 1.21060 0.93460 1.15546 1.25976 0.92119 1.25006 0.96900 0.96780 0.95642 1.69972 1.28448 1.25906 1.28789 0.86447 0.83913 0.79106 0.78033 1.19580 1.20925 1.20937 1.22577 0.96452 0.95054 0.94420 1.21299 0.99465 0.99024 0.94565 1.21702 1.01287 0.99773 0.97437 1.21274 0.92505 0.98478 1.01098 1.21790 1.00703 0.96595 1.02086 0.91498 0.91210 0.91682 0.93470 0.93496 0.88215 0.90070 0.74231 0.75443 0.91934 0.91915 0.95666 0.95676 0.92846 0.91636 0.90750 0.92948 0.92903 0.92839 0.90938 0.91439 0.92229 0.92489 0.92237 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 -1.12 10.28 37.16 0.38 -0.74 16 2 C 0.06 0.44 6.50 37.16 0.24 0.69 16 3 O -0.36 -3.32 7.75 -35.23 -0.27 -3.60 16 4 C 0.07 0.57 3.41 -25.92 -0.09 0.48 16 5 H 0.07 0.46 7.83 -51.93 -0.41 0.05 16 6 C -0.17 -1.51 7.37 -25.83 -0.19 -1.70 16 7 C 0.13 1.38 3.63 -67.03 -0.24 1.13 16 8 H 0.11 1.20 6.29 -51.93 -0.33 0.87 16 9 N -0.68 -8.77 4.66 -53.36 -0.25 -9.02 16 10 C 0.51 8.11 7.89 -11.58 -0.09 8.02 16 11 O -0.52 -9.17 16.08 5.50 0.09 -9.09 16 12 C 0.50 9.00 7.89 -11.58 -0.09 8.91 16 13 O -0.53 -10.54 16.48 5.49 0.09 -10.45 16 14 N -0.69 -12.99 5.55 -60.73 -0.34 -13.32 16 15 C 0.12 2.55 5.61 -4.04 -0.02 2.53 16 16 C 0.01 0.27 5.09 -27.88 -0.14 0.13 16 17 C -0.52 -14.50 9.11 -34.44 -0.31 -14.81 16 18 H 0.06 1.64 7.74 -52.49 -0.41 1.24 16 19 C 0.06 1.66 5.46 -17.82 -0.10 1.56 16 20 N -0.89 -26.35 13.29 55.43 0.74 -25.61 16 21 Si 0.90 21.44 29.54 -169.99 -5.02 16.42 16 22 H -0.27 -6.35 7.11 56.52 0.40 -5.95 16 23 H -0.28 -6.70 7.11 56.52 0.40 -6.29 16 24 H -0.28 -6.70 7.11 56.52 0.40 -6.30 16 25 C -0.08 -0.66 0.49 -153.70 -0.07 -0.73 16 26 C -0.11 -0.91 4.33 -26.73 -0.12 -1.03 16 27 C -0.14 -1.03 9.35 37.16 0.35 -0.68 16 28 C -0.10 -0.58 4.94 -26.73 -0.13 -0.72 16 29 C -0.15 -1.03 9.56 37.16 0.36 -0.68 16 30 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 31 H 0.07 0.39 8.14 -51.93 -0.42 -0.04 16 32 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 33 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 34 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 35 H 0.10 0.67 7.60 -51.93 -0.39 0.28 16 36 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 37 H 0.42 5.46 5.40 -40.82 -0.22 5.24 16 38 H 0.41 7.40 7.94 -40.82 -0.32 7.08 16 39 H 0.06 1.36 8.14 -51.93 -0.42 0.94 16 40 H 0.06 1.36 8.14 -51.93 -0.42 0.94 16 41 H 0.03 0.66 8.14 -51.93 -0.42 0.24 16 42 H 0.02 0.66 8.14 -51.93 -0.42 0.24 16 43 H 0.26 7.28 8.31 -40.82 -0.34 6.94 16 44 H 0.07 0.60 6.93 -51.93 -0.36 0.24 16 45 H 0.07 0.77 5.60 -51.93 -0.29 0.48 16 46 H 0.05 0.37 7.79 -51.93 -0.40 -0.04 16 47 H 0.05 0.33 6.94 -51.93 -0.36 -0.03 16 48 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 49 H 0.07 0.38 6.73 -51.92 -0.35 0.03 16 50 H 0.07 0.36 7.31 -51.93 -0.38 -0.02 16 51 H 0.06 0.42 6.78 -51.93 -0.35 0.06 16 52 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 53 H 0.06 0.46 6.99 -51.93 -0.36 0.10 16 LS Contribution 419.42 15.07 6.32 6.32 Total: -1.00 -31.37 419.42 -8.07 -39.43 By element: Atomic # 1 Polarization: 15.69 SS G_CDS: -9.15 Total: 6.54 kcal Atomic # 6 Polarization: 2.64 SS G_CDS: -0.28 Total: 2.37 kcal Atomic # 7 Polarization: -48.10 SS G_CDS: 0.15 Total: -47.95 kcal Atomic # 8 Polarization: -23.04 SS G_CDS: -0.09 Total: -23.13 kcal Atomic # 14 Polarization: 21.44 SS G_CDS: -5.02 Total: 16.42 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -31.37 -8.07 -39.43 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. ZINC001324226567.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 -78.439 kcal (2) G-P(sol) polarization free energy of solvation -31.366 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -109.805 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.066 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.432 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.872 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds