Wall clock time and date at job start Sat Apr 11 2020 06:11:20 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 1.53001 * 1 3 3 H 1.08995 * 109.46937 * 2 1 4 4 O 1.42901 * 109.46898 * 240.00136 * 2 1 3 5 5 C 1.42902 * 113.99795 * 90.00004 * 4 2 1 6 6 C 1.53006 * 109.46953 * 179.97438 * 5 4 2 7 7 H 1.08998 * 110.27492 * 54.29843 * 6 5 4 8 8 C 1.54939 * 110.30981 * 176.39074 * 6 5 4 9 9 C 1.55410 * 100.89340 * 155.28657 * 8 6 5 10 10 C 1.54377 * 102.31252 * 325.98969 * 9 8 6 11 11 O 1.43244 * 107.58327 * 21.28397 * 10 9 8 12 12 C 1.50700 * 109.47395 * 120.00147 * 2 1 3 13 13 O 1.21283 * 120.00111 * 114.99832 * 12 2 1 14 14 N 1.34783 * 120.00005 * 294.99995 * 12 2 1 15 15 C 1.46502 * 119.99880 * 359.97438 * 14 12 2 16 16 C 1.46493 * 119.99990 * 179.97438 * 14 12 2 17 17 C 1.53039 * 109.46010 * 240.06762 * 16 14 12 18 18 C 1.53194 * 109.31567 * 178.61167 * 17 16 14 19 19 N 1.46934 * 108.77031 * 54.63822 * 18 17 16 20 20 C 1.36929 * 120.63038 * 126.41239 * 19 18 17 21 21 H 1.08001 * 119.99888 * 207.65440 * 20 19 18 22 22 C 1.38817 * 119.99935 * 27.66032 * 20 19 18 23 23 N 1.31617 * 120.00025 * 17.37367 * 22 20 19 24 24 Si 1.86806 * 119.99836 * 197.37405 * 22 20 19 25 25 H 1.48503 * 109.46796 * 359.97438 * 24 22 20 26 26 H 1.48493 * 109.46798 * 119.99546 * 24 22 20 27 27 H 1.48495 * 109.47358 * 239.99853 * 24 22 20 28 28 C 1.46926 * 118.73493 * 306.38954 * 19 18 17 29 29 C 1.53042 * 109.46108 * 120.00058 * 16 14 12 30 30 H 1.09005 * 109.46899 * 299.99866 * 1 2 3 31 31 H 1.08995 * 109.47259 * 59.99638 * 1 2 3 32 32 H 1.09000 * 109.47393 * 179.97438 * 1 2 3 33 33 H 1.09002 * 109.46908 * 299.99874 * 5 4 2 34 34 H 1.09002 * 109.47300 * 59.99971 * 5 4 2 35 35 H 1.09006 * 111.12221 * 273.28003 * 8 6 5 36 36 H 1.09007 * 111.12596 * 37.43874 * 8 6 5 37 37 H 1.09006 * 110.88353 * 207.75151 * 9 8 6 38 38 H 1.09003 * 110.93160 * 84.25362 * 9 8 6 39 39 H 1.08997 * 109.83305 * 261.77424 * 10 9 8 40 40 H 1.09001 * 109.90941 * 140.83774 * 10 9 8 41 41 H 1.08997 * 109.47134 * 89.99526 * 15 14 12 42 42 H 1.09000 * 109.47171 * 209.99890 * 15 14 12 43 43 H 1.09004 * 109.46924 * 330.00315 * 15 14 12 44 44 H 1.08997 * 109.45900 * 0.02562 * 16 14 12 45 45 H 1.09000 * 109.49864 * 298.56628 * 17 16 14 46 46 H 1.08998 * 109.49870 * 58.66239 * 17 16 14 47 47 H 1.08999 * 109.58814 * 294.85076 * 18 17 16 48 48 H 1.09000 * 109.59008 * 174.41987 * 18 17 16 49 49 H 0.97008 * 119.99440 * 180.02562 * 23 22 20 50 50 H 1.08996 * 109.58894 * 293.81921 * 28 19 18 51 51 H 1.08999 * 109.58296 * 173.39849 * 28 19 18 52 52 H 1.08999 * 109.49396 * 301.33938 * 29 16 14 53 53 H 1.08996 * 109.49432 * 61.43228 * 29 16 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 1 1.8933 1.0276 0.0000 4 8 2.0063 -0.6736 -1.1668 5 6 2.2000 0.1830 -2.2941 6 6 2.7090 -0.6405 -3.4789 7 1 2.0363 -1.4753 -3.6754 8 6 2.8396 0.2528 -4.7381 9 6 3.9142 -0.5298 -5.5432 10 6 4.8090 -1.1055 -4.4247 11 8 4.0372 -1.1212 -3.2180 12 6 2.0324 -0.7104 1.2304 13 8 2.6531 -1.7467 1.1214 14 7 1.7920 -0.1942 2.4520 15 6 1.0428 1.0578 2.5837 16 6 2.2799 -0.8851 3.6481 17 6 1.0942 -1.2572 4.5413 18 6 1.6049 -2.0099 5.7739 19 7 2.6271 -1.1900 6.4387 20 6 2.5211 -0.8867 7.7697 21 1 2.9640 0.0203 8.1538 22 6 1.8445 -1.7452 8.6255 23 7 1.6048 -2.9862 8.2585 24 14 1.2742 -1.1390 10.2979 25 1 1.6649 0.2836 10.4682 26 1 -0.2026 -1.2618 10.3916 27 1 1.9077 -1.9568 11.3632 28 6 3.7654 -0.7023 5.6480 29 6 3.2304 0.0357 4.4168 30 1 -0.3633 0.5138 0.8901 31 1 -0.3633 0.5139 -0.8899 32 1 -0.3634 -1.0276 -0.0005 33 1 1.2537 0.6548 -2.5588 34 1 2.9319 0.9514 -2.0450 35 1 1.8972 0.3030 -5.2836 36 1 3.1941 1.2500 -4.4773 37 1 4.4822 0.1413 -6.1876 38 1 3.4580 -1.3303 -6.1257 39 1 5.6882 -0.4749 -4.2931 40 1 5.1163 -2.1196 -4.6802 41 1 -0.0214 0.8373 2.6678 42 1 1.3756 1.5883 3.4758 43 1 1.2166 1.6793 1.7052 44 1 2.8105 -1.7904 3.3535 45 1 0.5777 -0.3507 4.8567 46 1 0.4059 -1.8940 3.9856 47 1 2.0415 -2.9603 5.4669 48 1 0.7779 -2.1903 6.4607 49 1 1.1316 -3.5860 8.8564 50 1 4.3782 -1.5459 5.3307 51 1 4.3638 -0.0199 6.2516 52 1 4.0626 0.3192 3.7724 53 1 2.6938 0.9300 4.7333 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 ZINC001316937574.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 06:11:20 Heat of formation + Delta-G solvation = -98.887436 kcal Electronic energy + Delta-G solvation = -30868.502558 eV Core-core repulsion = 26741.252218 eV Total energy + Delta-G solvation = -4127.250340 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -40.27280 -39.72163 -38.02115 -36.95715 -35.13214 -32.93605 -32.52822 -31.76635 -30.50733 -29.98455 -29.33654 -26.95757 -25.93512 -25.29822 -23.86460 -22.15260 -22.10482 -21.72158 -21.61127 -19.37336 -18.84238 -17.53691 -17.22445 -16.95476 -16.50714 -16.04146 -15.86622 -15.44036 -15.18366 -14.90133 -14.56068 -14.22264 -13.84633 -13.64934 -13.61378 -13.45195 -13.21042 -13.02226 -12.78151 -12.64390 -12.44090 -12.34049 -12.29230 -12.14487 -11.89147 -11.77863 -11.49687 -11.44368 -11.40540 -11.18720 -11.10139 -10.77320 -10.71550 -10.32310 -10.16711 -10.05611 -10.01276 -9.75426 -9.70942 -9.59342 -9.22700 -8.51369 -8.26071 -6.67158 -5.77281 -3.19411 2.76910 2.82339 3.37706 3.45157 3.45579 3.47700 3.64711 4.04175 4.39775 4.45999 4.50629 4.53297 4.64622 4.74847 4.83437 4.87333 4.93159 5.07544 5.11808 5.14765 5.23702 5.31556 5.33327 5.36575 5.40233 5.43419 5.47423 5.48694 5.55234 5.56665 5.67697 5.69726 5.73320 5.90867 5.94548 6.10933 6.27815 6.35950 6.52612 6.61513 6.65523 6.73495 6.79964 6.86408 6.98438 7.03858 7.37484 7.59255 7.69692 7.81213 8.40310 8.46201 9.22379 9.85921 10.42997 11.31373 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.028793 B = 0.002035 C = 0.001985 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 972.210622 B =13759.075881 C =14104.952966 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.177 4.177 2 C 0.073 3.927 3 H 0.082 0.918 4 O -0.347 6.347 5 C 0.061 3.939 6 C 0.084 3.916 7 H 0.080 0.920 8 C -0.150 4.150 9 C -0.155 4.155 10 C 0.047 3.953 11 O -0.365 6.365 12 C 0.511 3.489 13 O -0.518 6.518 14 N -0.607 5.607 15 C 0.074 3.926 16 C 0.146 3.854 17 C -0.144 4.144 18 C 0.173 3.827 19 N -0.592 5.592 20 C -0.251 4.251 21 H 0.066 0.934 22 C 0.001 3.999 23 N -0.901 5.901 24 Si 0.902 3.098 25 H -0.278 1.278 26 H -0.289 1.289 27 H -0.291 1.291 28 C 0.147 3.853 29 C -0.138 4.138 30 H 0.080 0.920 31 H 0.065 0.935 32 H 0.071 0.929 33 H 0.063 0.937 34 H 0.057 0.943 35 H 0.087 0.913 36 H 0.081 0.919 37 H 0.083 0.917 38 H 0.078 0.922 39 H 0.068 0.932 40 H 0.069 0.931 41 H 0.058 0.942 42 H 0.078 0.922 43 H 0.064 0.936 44 H 0.095 0.905 45 H 0.057 0.943 46 H 0.050 0.950 47 H 0.021 0.979 48 H 0.091 0.909 49 H 0.253 0.747 50 H 0.021 0.979 51 H 0.057 0.943 52 H 0.052 0.948 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.753 11.362 -26.753 29.119 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 -0.235 4.235 2 C 0.011 3.989 3 H 0.100 0.900 4 O -0.265 6.265 5 C -0.016 4.016 6 C 0.026 3.974 7 H 0.098 0.902 8 C -0.187 4.187 9 C -0.193 4.193 10 C -0.030 4.030 11 O -0.285 6.285 12 C 0.297 3.703 13 O -0.392 6.392 14 N -0.342 5.342 15 C -0.070 4.070 16 C 0.045 3.955 17 C -0.184 4.184 18 C 0.047 3.953 19 N -0.315 5.315 20 C -0.381 4.381 21 H 0.084 0.916 22 C -0.198 4.198 23 N -0.546 5.546 24 Si 0.732 3.268 25 H -0.203 1.203 26 H -0.216 1.216 27 H -0.218 1.218 28 C 0.020 3.980 29 C -0.178 4.178 30 H 0.099 0.901 31 H 0.084 0.916 32 H 0.090 0.910 33 H 0.081 0.919 34 H 0.075 0.925 35 H 0.105 0.895 36 H 0.100 0.900 37 H 0.101 0.899 38 H 0.097 0.903 39 H 0.087 0.913 40 H 0.087 0.913 41 H 0.077 0.923 42 H 0.097 0.903 43 H 0.082 0.918 44 H 0.113 0.887 45 H 0.076 0.924 46 H 0.069 0.931 47 H 0.039 0.961 48 H 0.109 0.891 49 H 0.063 0.937 50 H 0.038 0.962 51 H 0.075 0.925 52 H 0.071 0.929 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -1.366 10.398 -26.514 28.512 hybrid contribution -0.533 0.703 0.592 1.062 sum -1.899 11.101 -25.922 28.263 Atomic orbital electron populations 1.22376 0.93709 1.04121 1.03277 1.21899 0.94992 0.96036 0.85948 0.90012 1.88122 1.86450 1.33363 1.18584 1.22753 0.99283 0.92982 0.86564 1.22959 0.85908 0.95925 0.92562 0.90203 1.23270 1.00226 0.99601 0.95624 1.23131 0.97382 1.00326 0.98413 1.23154 0.94670 1.00962 0.84242 1.88607 1.22571 1.86413 1.30885 1.20296 0.80224 0.85709 0.84090 1.90726 1.39464 1.23119 1.85895 1.48085 1.55480 1.24624 1.06000 1.21883 0.96286 0.85995 1.02808 1.21193 0.95745 0.95955 0.82640 1.22545 0.96519 1.01034 0.98298 1.20774 0.93398 0.90802 0.90363 1.44109 1.20671 1.60501 1.06245 1.19216 1.33106 1.02240 0.83529 0.91596 1.25057 1.02371 0.94636 0.97711 1.70051 1.44108 1.03625 1.36800 0.86234 0.78309 0.78210 0.84086 1.20290 1.21604 1.21754 1.20866 0.90392 0.95863 0.90847 1.22373 0.98146 0.99100 0.98183 0.90143 0.91577 0.91021 0.91920 0.92522 0.89481 0.90046 0.89871 0.90347 0.91330 0.91308 0.92326 0.90325 0.91768 0.88678 0.92450 0.93091 0.96133 0.89105 0.93653 0.96155 0.92460 0.92942 0.92063 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 19. 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 -0.18 -1.68 9.25 37.16 0.34 -1.33 16 2 C 0.07 0.89 2.32 -27.88 -0.06 0.82 16 3 H 0.08 0.78 6.77 -51.93 -0.35 0.43 16 4 O -0.35 -4.90 9.52 -57.79 -0.55 -5.45 16 5 C 0.06 0.59 5.45 37.16 0.20 0.80 16 6 C 0.08 0.80 3.72 -25.70 -0.10 0.71 16 7 H 0.08 0.78 8.14 -51.93 -0.42 0.36 16 8 C -0.15 -0.87 6.58 -24.43 -0.16 -1.03 16 9 C -0.15 -0.87 7.02 -24.73 -0.17 -1.05 16 10 C 0.05 0.39 7.80 37.88 0.30 0.69 16 11 O -0.37 -4.62 11.04 -35.96 -0.40 -5.02 16 12 C 0.51 8.47 7.10 -10.98 -0.08 8.39 16 13 O -0.52 -11.16 15.83 -14.31 -0.23 -11.38 16 14 N -0.61 -9.25 2.76 -173.89 -0.48 -9.73 16 15 C 0.07 0.80 8.01 59.85 0.48 1.28 16 16 C 0.15 2.69 2.48 -67.89 -0.17 2.52 16 17 C -0.14 -2.81 5.34 -26.61 -0.14 -2.95 16 18 C 0.17 4.20 5.31 -3.71 -0.02 4.18 16 19 N -0.59 -14.93 2.99 -172.32 -0.52 -15.44 16 20 C -0.25 -6.88 9.59 -15.06 -0.14 -7.02 16 21 H 0.07 1.77 7.89 -52.49 -0.41 1.35 16 22 C 0.00 0.02 4.91 -17.43 -0.09 -0.06 16 23 N -0.90 -26.38 11.19 55.49 0.62 -25.76 16 24 Si 0.90 21.64 29.59 -169.99 -5.03 16.61 16 25 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 26 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 27 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 28 C 0.15 3.16 6.52 -3.71 -0.02 3.14 16 29 C -0.14 -2.47 5.31 -26.61 -0.14 -2.61 16 30 H 0.08 0.66 5.12 -51.93 -0.27 0.40 16 31 H 0.07 0.47 7.87 -51.93 -0.41 0.06 16 32 H 0.07 0.80 8.14 -51.93 -0.42 0.37 16 33 H 0.06 0.42 7.87 -51.93 -0.41 0.01 16 34 H 0.06 0.52 8.09 -51.93 -0.42 0.10 16 35 H 0.09 0.36 8.14 -51.93 -0.42 -0.07 16 36 H 0.08 0.42 8.06 -51.93 -0.42 0.00 16 37 H 0.08 0.34 8.14 -51.93 -0.42 -0.08 16 38 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 39 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 40 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 41 H 0.06 0.58 7.02 -51.93 -0.36 0.21 16 42 H 0.08 0.88 6.45 -51.93 -0.34 0.54 16 43 H 0.06 0.52 6.08 -51.93 -0.32 0.20 16 44 H 0.10 2.03 6.90 -51.93 -0.36 1.67 16 45 H 0.06 1.08 7.72 -51.93 -0.40 0.68 16 46 H 0.05 0.96 8.14 -51.93 -0.42 0.54 16 47 H 0.02 0.54 8.14 -51.93 -0.42 0.11 16 48 H 0.09 2.44 6.04 -51.93 -0.31 2.13 16 49 H 0.25 7.15 8.31 -40.82 -0.34 6.81 16 50 H 0.02 0.46 8.14 -51.93 -0.42 0.03 16 51 H 0.06 1.18 7.93 -51.93 -0.41 0.77 16 52 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 53 H 0.06 1.05 6.72 -51.93 -0.35 0.70 16 LS Contribution 405.35 15.07 6.11 6.11 Total: -1.00 -35.16 405.35 -9.77 -44.93 By element: Atomic # 1 Polarization: 7.99 SS G_CDS: -9.32 Total: -1.34 kcal Atomic # 6 Polarization: 6.44 SS G_CDS: 0.02 Total: 6.46 kcal Atomic # 7 Polarization: -50.55 SS G_CDS: -0.38 Total: -50.92 kcal Atomic # 8 Polarization: -20.68 SS G_CDS: -1.17 Total: -21.85 kcal Atomic # 14 Polarization: 21.64 SS G_CDS: -5.03 Total: 16.61 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -35.16 -9.77 -44.93 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. ZINC001316937574.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 -53.961 kcal (2) G-P(sol) polarization free energy of solvation -35.158 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.119 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.769 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.927 kcal (6) G-S(sol) free energy of system = (1) + (5) -98.887 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.95 seconds