Wall clock time and date at job start Sat Apr 11 2020 06:09:09 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 1.53010 * 1 3 3 C 1.52999 * 109.47204 * 2 1 4 4 C 1.53006 * 109.46726 * 119.99648 * 2 1 3 5 5 H 1.09001 * 109.48754 * 59.97161 * 4 2 1 6 6 C 1.53090 * 109.47707 * 179.97438 * 4 2 1 7 7 C 1.53178 * 109.16369 * 177.59204 * 6 4 2 8 8 H 1.08997 * 109.54303 * 62.97521 * 7 6 4 9 9 C 1.50700 * 109.54515 * 183.15844 * 7 6 4 10 10 O 1.21274 * 119.99864 * 359.97438 * 9 7 6 11 11 N 1.34773 * 119.99905 * 179.72538 * 9 7 6 12 12 C 1.46493 * 120.00066 * 175.38445 * 11 9 7 13 13 C 1.53005 * 112.94645 * 303.22264 * 12 11 9 14 14 C 1.53002 * 109.47194 * 304.07172 * 13 12 11 15 15 O 1.42896 * 109.47029 * 175.18835 * 14 13 12 16 16 C 1.53950 * 113.74351 * 171.63657 * 12 11 9 17 17 N 1.47815 * 86.03460 * 222.08680 * 16 12 11 18 18 C 1.36942 * 134.45281 * 204.65099 * 17 16 12 19 19 H 1.07997 * 119.99883 * 179.86253 * 18 17 16 20 20 C 1.38812 * 120.00284 * 359.85416 * 18 17 16 21 21 N 1.31627 * 119.99697 * 0.02562 * 20 18 17 22 22 Si 1.86796 * 120.00117 * 180.02562 * 20 18 17 23 23 H 1.48493 * 109.47247 * 90.00078 * 22 20 18 24 24 H 1.48501 * 109.46948 * 210.00202 * 22 20 18 25 25 H 1.48506 * 109.46843 * 329.99927 * 22 20 18 26 26 C 1.47582 * 91.05396 * 24.54422 * 17 16 12 27 27 C 1.53187 * 109.03523 * 303.02415 * 7 6 4 28 28 C 1.53095 * 109.16181 * 56.97994 * 27 7 6 29 29 O 1.42897 * 109.48384 * 299.94365 * 4 2 1 30 30 H 1.08994 * 109.47020 * 300.00621 * 1 2 3 31 31 H 1.08996 * 109.46453 * 60.00307 * 1 2 3 32 32 H 1.08997 * 109.47227 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.47074 * 239.99818 * 2 1 3 34 34 H 1.08997 * 109.46650 * 180.02562 * 3 2 1 35 35 H 1.09001 * 109.46856 * 299.99577 * 3 2 1 36 36 H 1.09000 * 109.47052 * 59.99413 * 3 2 1 37 37 H 1.09008 * 109.51882 * 57.68934 * 6 4 2 38 38 H 1.08999 * 109.57717 * 297.53384 * 6 4 2 39 39 H 0.97002 * 120.00240 * 355.38818 * 11 9 7 40 40 H 1.09005 * 109.46506 * 64.06730 * 13 12 11 41 41 H 1.09001 * 109.47246 * 184.06244 * 13 12 11 42 42 H 1.08999 * 109.46532 * 295.18460 * 14 13 12 43 43 H 1.08998 * 109.46753 * 55.18651 * 14 13 12 44 44 H 0.96699 * 114.00418 * 180.02562 * 15 14 13 45 45 H 1.09005 * 113.76604 * 336.34535 * 16 12 11 46 46 H 1.08993 * 113.77286 * 107.74804 * 16 12 11 47 47 H 0.97004 * 119.99427 * 179.97438 * 21 20 18 48 48 H 1.08995 * 113.76593 * 221.15573 * 26 17 16 49 49 H 1.08998 * 113.86772 * 89.77125 * 26 17 16 50 50 H 1.09002 * 109.51751 * 176.88291 * 27 7 6 51 51 H 1.08999 * 109.52396 * 297.07280 * 27 7 6 52 52 H 1.08997 * 109.47933 * 182.41033 * 28 27 7 53 53 H 1.08997 * 109.49245 * 62.37685 * 28 27 7 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 1.5301 0.0000 0.0000 3 6 2.0401 1.4425 0.0000 4 6 2.0400 -0.7212 1.2494 5 1 1.6764 -1.7488 1.2499 6 6 3.5709 -0.7219 1.2493 7 6 4.0735 -1.3920 2.5317 8 1 3.7519 -2.4333 2.5492 9 6 5.5785 -1.3283 2.5774 10 8 6.1907 -0.7998 1.6737 11 7 6.2437 -1.8543 3.6248 12 6 7.7084 -1.8832 3.6226 13 6 8.2887 -2.6146 2.4104 14 6 7.7151 -4.0316 2.3470 15 8 8.1690 -4.6763 1.1552 16 6 8.3218 -2.3237 4.9641 17 7 9.3036 -1.2390 4.7541 18 6 10.5812 -1.0045 5.1880 19 1 11.1000 -0.1087 4.8804 20 6 11.2092 -1.9181 6.0233 21 7 10.5769 -3.0101 6.3979 22 14 12.9516 -1.5979 6.6156 23 1 12.9091 -0.8376 7.8905 24 1 13.6458 -2.8923 6.8341 25 1 13.6849 -0.8092 5.5931 26 6 8.3558 -0.5119 3.8874 27 6 3.4925 -0.6540 3.7418 28 6 1.9646 -0.6561 3.6455 29 8 1.5649 -0.0470 2.4162 30 1 -0.3633 0.5139 0.8899 31 1 -0.3632 0.5138 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 1.8934 -0.5139 -0.8900 34 1 3.1301 1.4424 -0.0005 35 1 1.6768 1.9563 -0.8900 36 1 1.6767 1.9563 0.8899 37 1 3.9356 0.3045 1.2076 38 1 3.9358 -1.2735 0.3829 39 1 5.7528 -2.2137 4.3803 40 1 8.0256 -2.0751 1.5004 41 1 9.3737 -2.6654 2.5018 42 1 8.0493 -4.5980 3.2163 43 1 6.6262 -3.9829 2.3417 44 1 7.8432 -5.5805 1.0486 45 1 7.6666 -2.1635 5.8204 46 1 8.7573 -3.3226 4.9412 47 1 11.0160 -3.6487 6.9813 48 1 8.8186 -0.0671 3.0065 49 1 7.7101 0.1823 4.4250 50 1 3.8004 -1.1579 4.6580 51 1 3.8555 0.3737 3.7505 52 1 1.5469 -0.0953 4.4817 53 1 1.5995 -1.6826 3.6777 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 ZINC001675105518.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 06:09:09 Heat of formation + Delta-G solvation = -96.666764 kcal Electronic energy + Delta-G solvation = -31703.609794 eV Core-core repulsion = 27576.455750 eV Total energy + Delta-G solvation = -4127.154044 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -40.59016 -39.46550 -37.77334 -36.39072 -35.47946 -33.88225 -33.52555 -31.82165 -30.35036 -30.17580 -27.39799 -27.17905 -25.97727 -25.07284 -23.87657 -23.31229 -22.08768 -21.28225 -20.00540 -19.72667 -18.68795 -17.26335 -17.04452 -16.80381 -16.35905 -15.95297 -15.47918 -15.16408 -15.07322 -14.73343 -14.62882 -14.41422 -14.03909 -13.91754 -13.74093 -13.64030 -13.49167 -13.03818 -12.61676 -12.47894 -12.18520 -12.05477 -11.88188 -11.77820 -11.73320 -11.53573 -11.37397 -11.08573 -11.06950 -10.95323 -10.83337 -10.78050 -10.72975 -10.70875 -10.44921 -10.17150 -9.99441 -9.83306 -9.67046 -9.53348 -9.07751 -8.90187 -8.56710 -6.95234 -5.82902 -3.14633 2.87807 3.35218 3.39616 3.43852 3.45321 3.57997 4.37208 4.42512 4.46922 4.57694 4.59982 4.66285 4.79745 4.82614 4.99109 5.10126 5.13743 5.19678 5.23570 5.30660 5.41741 5.44775 5.45771 5.46664 5.52355 5.54707 5.63568 5.70637 5.72616 5.75590 5.78531 5.83365 5.92688 5.94046 5.95963 6.06251 6.20265 6.29195 6.31999 6.46903 6.48918 6.62249 6.77192 6.82818 7.04729 7.09027 7.29412 7.45737 7.83947 7.88398 7.92232 8.54146 8.99249 9.65273 10.51483 11.34779 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018640 B = 0.002617 C = 0.002489 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1501.819689 B =10698.065974 C =11248.941435 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C -0.087 4.087 3 C -0.147 4.147 4 C 0.096 3.904 5 H 0.056 0.944 6 C -0.130 4.130 7 C -0.110 4.110 8 H 0.092 0.908 9 C 0.516 3.484 10 O -0.532 6.532 11 N -0.716 5.716 12 C 0.125 3.875 13 C -0.096 4.096 14 C 0.084 3.916 15 O -0.574 6.574 16 C 0.166 3.834 17 N -0.604 5.604 18 C -0.219 4.219 19 H 0.082 0.918 20 C -0.007 4.007 21 N -0.923 5.923 22 Si 0.914 3.086 23 H -0.289 1.289 24 H -0.290 1.290 25 H -0.280 1.280 26 C 0.125 3.875 27 C -0.148 4.148 28 C 0.065 3.935 29 O -0.374 6.374 30 H 0.063 0.937 31 H 0.052 0.948 32 H 0.050 0.950 33 H 0.080 0.920 34 H 0.059 0.941 35 H 0.050 0.950 36 H 0.063 0.937 37 H 0.085 0.915 38 H 0.078 0.922 39 H 0.396 0.604 40 H 0.079 0.921 41 H 0.088 0.912 42 H 0.048 0.952 43 H 0.034 0.966 44 H 0.371 0.629 45 H 0.030 0.970 46 H 0.081 0.919 47 H 0.254 0.746 48 H 0.050 0.950 49 H 0.035 0.965 50 H 0.079 0.921 51 H 0.079 0.921 52 H 0.096 0.904 53 H 0.050 0.950 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -21.481 -0.102 -8.503 23.103 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 -0.201 4.201 2 C -0.105 4.105 3 C -0.205 4.205 4 C 0.038 3.962 5 H 0.074 0.926 6 C -0.168 4.168 7 C -0.132 4.132 8 H 0.111 0.889 9 C 0.302 3.698 10 O -0.408 6.408 11 N -0.367 5.367 12 C 0.039 3.961 13 C -0.135 4.135 14 C 0.006 3.994 15 O -0.379 6.379 16 C 0.040 3.960 17 N -0.331 5.331 18 C -0.346 4.346 19 H 0.100 0.900 20 C -0.204 4.204 21 N -0.570 5.570 22 Si 0.744 3.256 23 H -0.216 1.216 24 H -0.216 1.216 25 H -0.205 1.205 26 C -0.002 4.002 27 C -0.186 4.186 28 C -0.012 4.012 29 O -0.293 6.293 30 H 0.082 0.918 31 H 0.071 0.929 32 H 0.069 0.931 33 H 0.098 0.902 34 H 0.078 0.922 35 H 0.069 0.931 36 H 0.082 0.918 37 H 0.104 0.896 38 H 0.096 0.904 39 H 0.230 0.770 40 H 0.098 0.902 41 H 0.107 0.893 42 H 0.066 0.934 43 H 0.052 0.948 44 H 0.217 0.783 45 H 0.047 0.953 46 H 0.099 0.901 47 H 0.064 0.936 48 H 0.068 0.932 49 H 0.053 0.947 50 H 0.097 0.903 51 H 0.097 0.903 52 H 0.114 0.886 53 H 0.068 0.932 Dipole moment (debyes) X Y Z Total from point charges -20.509 0.950 -9.080 22.450 hybrid contribution 0.571 -0.879 1.184 1.581 sum -19.939 0.071 -7.896 21.445 Atomic orbital electron populations 1.21772 0.94753 1.01507 1.02065 1.21139 0.96312 0.97266 0.95804 1.21837 1.01406 0.95366 1.01852 1.22156 0.92775 0.95303 0.85970 0.92631 1.22095 0.94948 1.03101 0.96695 1.21408 0.92998 1.01410 0.97356 0.88942 1.20418 0.89147 0.78036 0.82227 1.90679 1.69574 1.43030 1.37528 1.46228 1.07704 1.62002 1.20744 1.22925 0.76674 0.98594 0.97935 1.21334 1.01839 0.92752 0.97547 1.22115 0.96515 0.94365 0.86401 1.86502 1.76210 1.31361 1.43802 1.22579 0.88385 0.95827 0.89191 1.45702 1.10078 1.21147 1.56142 1.19007 0.86851 1.04882 1.23889 0.90008 1.24773 0.98692 0.97000 0.99908 1.69790 1.36871 1.11289 1.39081 0.86088 0.83819 0.77024 0.78672 1.21618 1.21595 1.20529 1.22841 0.90686 0.92958 0.93746 1.22205 0.96836 1.02219 0.97318 1.22532 0.93335 0.98162 0.87171 1.87915 1.74441 1.53705 1.13235 0.91808 0.92882 0.93089 0.90156 0.92170 0.93071 0.91833 0.89613 0.90353 0.77041 0.90245 0.89332 0.93364 0.94767 0.78329 0.95281 0.90056 0.93605 0.93165 0.94726 0.90260 0.90259 0.88615 0.93185 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 -1.09 9.05 37.16 0.34 -0.75 16 2 C -0.09 -0.73 2.81 -90.61 -0.25 -0.99 16 3 C -0.15 -1.33 8.70 37.16 0.32 -1.01 16 4 C 0.10 0.87 2.38 -26.68 -0.06 0.81 16 5 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 6 C -0.13 -1.40 3.73 -26.59 -0.10 -1.50 16 7 C -0.11 -1.16 2.62 -91.58 -0.24 -1.40 16 8 H 0.09 0.82 8.14 -51.93 -0.42 0.40 16 9 C 0.52 7.50 6.72 -10.99 -0.07 7.42 16 10 O -0.53 -9.78 14.15 5.56 0.08 -9.71 16 11 N -0.72 -10.39 4.45 -49.07 -0.22 -10.61 16 12 C 0.13 2.34 0.68 -134.03 -0.09 2.25 16 13 C -0.10 -1.87 4.67 -26.73 -0.12 -1.99 16 14 C 0.08 1.37 6.86 37.16 0.25 1.62 16 15 O -0.57 -9.20 13.66 -35.23 -0.48 -9.68 16 16 C 0.17 3.68 6.69 -2.83 -0.02 3.66 16 17 N -0.60 -15.30 3.55 -177.50 -0.63 -15.93 16 18 C -0.22 -6.10 10.70 -15.06 -0.16 -6.26 16 19 H 0.08 2.23 7.83 -52.49 -0.41 1.82 16 20 C -0.01 -0.21 5.50 -17.43 -0.10 -0.30 16 21 N -0.92 -26.58 11.39 55.49 0.63 -25.95 16 22 Si 0.91 22.05 29.55 -169.99 -5.02 17.03 16 23 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 24 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 25 H -0.28 -6.62 7.11 56.52 0.40 -6.22 16 26 C 0.12 2.70 8.04 -2.97 -0.02 2.67 16 27 C -0.15 -1.35 5.29 -26.59 -0.14 -1.49 16 28 C 0.06 0.52 6.84 37.21 0.25 0.78 16 29 O -0.37 -3.69 9.06 -35.23 -0.32 -4.01 16 30 H 0.06 0.53 7.68 -51.93 -0.40 0.14 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 33 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 34 H 0.06 0.60 6.38 -51.93 -0.33 0.26 16 35 H 0.05 0.41 8.14 -51.93 -0.42 -0.02 16 36 H 0.06 0.62 7.68 -51.93 -0.40 0.22 16 37 H 0.09 1.08 6.20 -51.92 -0.32 0.75 16 38 H 0.08 0.88 8.14 -51.93 -0.42 0.46 16 39 H 0.40 4.69 8.05 -40.82 -0.33 4.36 16 40 H 0.08 1.64 6.54 -51.93 -0.34 1.30 16 41 H 0.09 1.99 8.02 -51.93 -0.42 1.57 16 42 H 0.05 0.80 7.61 -51.93 -0.39 0.40 16 43 H 0.03 0.50 7.43 -51.93 -0.39 0.11 16 44 H 0.37 3.92 9.12 45.56 0.42 4.33 16 45 H 0.03 0.64 8.14 -51.93 -0.42 0.22 16 46 H 0.08 1.98 6.59 -51.93 -0.34 1.64 16 47 H 0.25 7.11 8.31 -40.82 -0.34 6.77 16 48 H 0.05 1.12 8.10 -51.93 -0.42 0.70 16 49 H 0.04 0.74 8.14 -51.93 -0.42 0.32 16 50 H 0.08 0.62 7.58 -51.93 -0.39 0.22 16 51 H 0.08 0.85 8.14 -51.93 -0.42 0.43 16 52 H 0.10 0.66 8.14 -51.93 -0.42 0.24 16 53 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 LS Contribution 409.22 15.07 6.17 6.17 Total: -1.00 -33.20 409.22 -8.69 -41.89 By element: Atomic # 1 Polarization: 15.95 SS G_CDS: -8.68 Total: 7.28 kcal Atomic # 6 Polarization: 3.75 SS G_CDS: -0.22 Total: 3.53 kcal Atomic # 7 Polarization: -52.28 SS G_CDS: -0.22 Total: -52.49 kcal Atomic # 8 Polarization: -22.68 SS G_CDS: -0.72 Total: -23.40 kcal Atomic # 14 Polarization: 22.05 SS G_CDS: -5.02 Total: 17.03 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -33.20 -8.69 -41.89 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. ZINC001675105518.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 -54.779 kcal (2) G-P(sol) polarization free energy of solvation -33.198 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -87.977 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.690 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.888 kcal (6) G-S(sol) free energy of system = (1) + (5) -96.667 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds