Wall clock time and date at job start Tue Mar 31 2020 21:27:39 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 1.30994 * 1 3 3 C 1.50705 * 119.99898 * 2 1 4 4 C 1.52989 * 109.47366 * 127.89277 * 3 2 1 5 5 C 1.50705 * 109.47246 * 293.85262 * 4 3 2 6 6 O 1.21286 * 119.99481 * 247.08520 * 5 4 3 7 7 N 1.34773 * 120.00196 * 67.08131 * 5 4 3 8 8 C 1.46499 * 119.99905 * 181.51987 * 7 5 4 9 9 H 1.08995 * 109.46298 * 312.63073 * 8 7 5 10 10 C 1.53033 * 109.46038 * 72.61094 * 8 7 5 11 11 C 1.53194 * 109.31700 * 58.65027 * 10 8 7 12 12 N 1.46924 * 108.77273 * 54.63837 * 11 10 8 13 13 C 1.36939 * 120.63342 * 126.41391 * 12 11 10 14 14 H 1.08000 * 119.99344 * 331.05321 * 13 12 11 15 15 C 1.38804 * 120.00071 * 151.04778 * 13 12 11 16 16 N 1.31616 * 120.00045 * 352.29600 * 15 13 12 17 17 Si 1.86804 * 120.00126 * 172.29867 * 15 13 12 18 18 H 1.48507 * 109.46823 * 89.99885 * 17 15 13 19 19 H 1.48489 * 109.47278 * 209.99905 * 17 15 13 20 20 H 1.48499 * 109.46671 * 330.00423 * 17 15 13 21 21 C 1.46932 * 118.73595 * 306.38829 * 12 11 10 22 22 C 1.53049 * 109.45539 * 192.67626 * 8 7 5 23 23 H 1.08999 * 109.48858 * 181.39581 * 22 8 7 24 24 O 1.42895 * 109.49837 * 61.29734 * 22 8 7 25 25 C 1.53000 * 109.47134 * 53.85246 * 4 3 2 26 26 C 1.53006 * 109.47137 * 180.02562 * 25 4 3 27 27 C 1.52995 * 109.47080 * 299.99897 * 26 25 4 28 28 C 1.53000 * 109.47052 * 60.00050 * 27 26 25 29 29 C 1.52994 * 109.47112 * 299.99609 * 28 27 26 30 30 H 1.08005 * 120.00040 * 180.02562 * 1 2 3 31 31 H 1.08002 * 120.00490 * 0.02562 * 1 2 3 32 32 H 1.08002 * 120.00490 * 179.97438 * 2 1 3 33 33 H 1.09004 * 109.46791 * 7.88573 * 3 2 1 34 34 H 1.09003 * 109.46711 * 247.89482 * 3 2 1 35 35 H 0.97006 * 119.99510 * 1.51908 * 7 5 4 36 36 H 1.08999 * 109.50024 * 178.60529 * 10 8 7 37 37 H 1.09005 * 109.49547 * 298.67135 * 10 8 7 38 38 H 1.09001 * 109.58314 * 174.42430 * 11 10 8 39 39 H 1.08998 * 109.58595 * 294.84661 * 11 10 8 40 40 H 0.97009 * 120.00090 * 179.97438 * 16 15 13 41 41 H 1.09006 * 109.58082 * 173.39592 * 21 12 11 42 42 H 1.08995 * 109.59002 * 293.67935 * 21 12 11 43 43 H 0.96698 * 113.99958 * 179.97438 * 24 22 8 44 44 H 1.08998 * 109.47196 * 299.99305 * 25 4 3 45 45 H 1.08995 * 109.47549 * 60.00418 * 25 4 3 46 46 H 1.09000 * 109.46889 * 179.97438 * 26 25 4 47 47 H 1.08999 * 109.47125 * 60.00268 * 26 25 4 48 48 H 1.09004 * 109.47431 * 299.99670 * 27 26 25 49 49 H 1.09002 * 109.47353 * 180.02562 * 27 26 25 50 50 H 1.09003 * 109.46774 * 179.97438 * 28 27 26 51 51 H 1.08992 * 109.47342 * 60.00266 * 28 27 26 52 52 H 1.09001 * 109.47692 * 300.00323 * 29 28 27 53 53 H 1.09005 * 109.47439 * 179.97438 * 29 28 27 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 1.3099 0.0000 0.0000 3 6 2.0634 1.3052 0.0000 4 6 3.0856 1.3039 1.1383 5 6 2.3642 1.2883 2.4613 6 8 2.4259 2.2507 3.1970 7 7 1.6506 0.2051 2.8270 8 6 0.9221 0.2028 4.0981 9 1 1.5757 0.5642 4.8919 10 6 -0.2996 1.1177 3.9872 11 6 -1.1987 0.6267 2.8482 12 7 -1.5231 -0.7877 3.0781 13 6 -2.8253 -1.2110 3.0958 14 1 -3.6085 -0.5351 3.4060 15 6 -3.1386 -2.5085 2.7150 16 7 -2.2111 -3.2836 2.1942 17 14 -4.8766 -3.1546 2.9418 18 1 -5.6739 -2.8688 1.7219 19 1 -4.8334 -4.6208 3.1727 20 1 -5.5040 -2.4875 4.1107 21 6 -0.4236 -1.7395 3.2880 22 6 0.4668 -1.2220 4.4221 23 1 -0.0966 -1.2204 5.3552 24 8 1.6098 -2.0692 4.5557 25 6 3.9723 0.0621 1.0262 26 6 4.9942 0.0605 2.1649 27 6 5.8623 1.3169 2.0728 28 6 4.9757 2.5588 2.1849 29 6 3.9539 2.5604 1.0462 30 1 -0.5400 -0.9353 0.0004 31 1 -0.5401 0.9353 -0.0004 32 1 1.8500 -0.9353 0.0004 33 1 1.3635 2.1288 0.1410 34 1 2.5800 1.4264 -0.9522 35 1 1.6193 -0.5730 2.2486 36 1 -0.8557 1.0972 4.9244 37 1 0.0268 2.1369 3.7800 38 1 -2.1169 1.2137 2.8286 39 1 -0.6750 0.7319 1.8981 40 1 -2.4299 -4.1905 1.9284 41 1 -0.8306 -2.7139 3.5586 42 1 0.1617 -1.8294 2.3730 43 1 1.3954 -2.9893 4.7620 44 1 3.3539 -0.8331 1.0924 45 1 4.4941 0.0733 0.0693 46 1 5.6255 -0.8245 2.0853 47 1 4.4721 0.0489 3.1216 48 1 6.3846 1.3285 1.1161 49 1 6.5907 1.3156 2.8838 50 1 5.5943 3.4539 2.1197 51 1 4.4536 2.5473 3.1416 52 1 4.4760 2.5719 0.0894 53 1 3.3219 3.4449 1.1263 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 ZINC001100122499.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 21:27:39 Heat of formation + Delta-G solvation = -62.154691 kcal Electronic energy + Delta-G solvation = -33096.867130 eV Core-core repulsion = 29161.665694 eV Total energy + Delta-G solvation = -3935.201437 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -40.80794 -38.52971 -36.76788 -35.32817 -34.93053 -33.89050 -31.98255 -31.07617 -30.55878 -29.38212 -28.76453 -25.97813 -25.37115 -23.18829 -22.78087 -22.16257 -21.61229 -20.82327 -19.54067 -19.09141 -18.42165 -16.96009 -16.54373 -16.30130 -15.71602 -15.30557 -14.98725 -14.85499 -14.40251 -14.18307 -13.90887 -13.80997 -13.60699 -13.46782 -13.41027 -13.09820 -12.71577 -12.42617 -12.20077 -12.16814 -11.96408 -11.85629 -11.70492 -11.55175 -11.29334 -11.06474 -10.97821 -10.96888 -10.85641 -10.84177 -10.51094 -10.40000 -10.13761 -10.07366 -9.96883 -9.81772 -9.61639 -9.31572 -9.09508 -8.85187 -8.56742 -8.36704 -6.70647 -5.86253 -3.33894 2.65128 3.13712 3.30741 3.38278 3.39513 3.68598 4.39685 4.62875 4.64813 4.78117 4.80550 5.10241 5.17360 5.29185 5.29986 5.37242 5.42801 5.45822 5.51382 5.52254 5.59337 5.62475 5.72598 5.74694 5.78152 5.90712 5.91641 5.99860 6.01138 6.04748 6.07754 6.12611 6.23465 6.29823 6.32289 6.35370 6.37907 6.50079 6.53911 6.55900 6.64297 6.77271 6.92438 7.05704 7.11536 7.14443 7.16486 7.55063 7.68675 8.10011 8.12549 8.37998 8.75800 9.12985 9.74281 10.30214 11.19359 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.018462 B = 0.004012 C = 0.003859 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1516.225237 B = 6976.707762 C = 7253.086868 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.139 4.139 2 C -0.200 4.200 3 C -0.074 4.074 4 C -0.071 4.071 5 C 0.528 3.472 6 O -0.553 6.553 7 N -0.698 5.698 8 C 0.168 3.832 9 H 0.067 0.933 10 C -0.146 4.146 11 C 0.135 3.865 12 N -0.584 5.584 13 C -0.246 4.246 14 H 0.065 0.935 15 C 0.003 3.997 16 N -0.908 5.908 17 Si 0.904 3.096 18 H -0.287 1.287 19 H -0.290 1.290 20 H -0.280 1.280 21 C 0.145 3.855 22 C 0.064 3.936 23 H 0.058 0.942 24 O -0.574 6.574 25 C -0.108 4.108 26 C -0.123 4.123 27 C -0.117 4.117 28 C -0.129 4.129 29 C -0.090 4.090 30 H 0.110 0.890 31 H 0.091 0.909 32 H 0.109 0.891 33 H 0.068 0.932 34 H 0.076 0.924 35 H 0.404 0.596 36 H 0.064 0.936 37 H 0.067 0.933 38 H 0.050 0.950 39 H 0.040 0.960 40 H 0.254 0.746 41 H 0.102 0.898 42 H 0.023 0.977 43 H 0.375 0.625 44 H 0.070 0.930 45 H 0.070 0.930 46 H 0.062 0.938 47 H 0.065 0.935 48 H 0.057 0.943 49 H 0.056 0.944 50 H 0.055 0.945 51 H 0.086 0.914 52 H 0.062 0.938 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.463 5.714 -2.857 14.004 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 -0.176 4.176 2 C -0.218 4.218 3 C -0.112 4.112 4 C -0.074 4.074 5 C 0.315 3.685 6 O -0.433 6.433 7 N -0.350 5.350 8 C 0.063 3.937 9 H 0.085 0.915 10 C -0.187 4.187 11 C 0.010 3.990 12 N -0.308 5.308 13 C -0.376 4.376 14 H 0.083 0.917 15 C -0.195 4.195 16 N -0.554 5.554 17 Si 0.735 3.265 18 H -0.214 1.214 19 H -0.217 1.217 20 H -0.206 1.206 21 C 0.018 3.982 22 C 0.003 3.997 23 H 0.076 0.924 24 O -0.379 6.379 25 C -0.145 4.145 26 C -0.160 4.160 27 C -0.155 4.155 28 C -0.167 4.167 29 C -0.128 4.128 30 H 0.129 0.871 31 H 0.109 0.891 32 H 0.127 0.873 33 H 0.087 0.913 34 H 0.094 0.906 35 H 0.242 0.758 36 H 0.083 0.917 37 H 0.085 0.915 38 H 0.068 0.932 39 H 0.057 0.943 40 H 0.064 0.936 41 H 0.120 0.880 42 H 0.041 0.959 43 H 0.222 0.778 44 H 0.089 0.911 45 H 0.089 0.911 46 H 0.080 0.920 47 H 0.083 0.917 48 H 0.075 0.925 49 H 0.075 0.925 50 H 0.074 0.926 51 H 0.104 0.896 52 H 0.081 0.919 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 12.763 6.766 -2.504 14.661 hybrid contribution -1.345 -1.371 0.038 1.921 sum 11.417 5.395 -2.466 12.866 Atomic orbital electron populations 1.23966 0.95602 1.02632 0.95389 1.22765 0.96065 0.97637 1.05287 1.20694 0.96915 0.96485 0.97083 1.20838 0.95535 0.97618 0.93393 1.20246 0.78356 0.82540 0.87399 1.90585 1.63297 1.35092 1.54291 1.46094 1.48979 1.17836 1.22044 1.20735 0.92758 0.94475 0.85739 0.91544 1.22383 0.96251 0.98627 1.01398 1.21205 0.96250 0.86618 0.94977 1.43865 1.02377 1.01894 1.82670 1.19226 0.83915 0.96962 1.37471 0.91678 1.25065 0.97436 0.98304 0.98680 1.69887 1.31952 1.08292 1.45225 0.86259 0.84409 0.77922 0.77957 1.21399 1.21661 1.20584 1.21520 0.87770 0.96075 0.92843 1.22987 0.86740 0.89325 1.00602 0.92396 1.86392 1.33686 1.23440 1.94378 1.21659 0.97028 0.96558 0.99281 1.21570 0.97608 0.97704 0.99166 1.21535 0.97715 0.95091 1.01134 1.21703 0.97097 0.96894 1.00972 1.21336 0.96815 0.96226 0.98450 0.87141 0.89067 0.87335 0.91350 0.90567 0.75788 0.91706 0.91482 0.93167 0.94284 0.93617 0.88001 0.95902 0.77810 0.91143 0.91134 0.91961 0.91669 0.92461 0.92488 0.92638 0.89581 0.91891 0.91409 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 -2.20 11.67 29.02 0.34 -1.87 16 2 C -0.20 -2.75 6.23 -36.02 -0.22 -2.98 16 3 C -0.07 -0.92 4.72 -27.89 -0.13 -1.05 16 4 C -0.07 -0.92 0.50 -155.66 -0.08 -0.99 16 5 C 0.53 8.55 4.57 -10.98 -0.05 8.50 16 6 O -0.55 -10.40 12.94 5.55 0.07 -10.32 16 7 N -0.70 -11.60 3.58 -53.76 -0.19 -11.79 16 8 C 0.17 3.04 2.43 -67.89 -0.16 2.88 16 9 H 0.07 1.27 7.95 -51.93 -0.41 0.86 16 10 C -0.15 -2.70 5.57 -26.61 -0.15 -2.85 16 11 C 0.14 2.71 6.26 -3.71 -0.02 2.69 16 12 N -0.58 -13.23 3.00 -172.32 -0.52 -13.74 16 13 C -0.25 -6.26 9.62 -15.06 -0.14 -6.41 16 14 H 0.07 1.66 7.84 -52.49 -0.41 1.25 16 15 C 0.00 0.07 5.14 -17.43 -0.09 -0.02 16 16 N -0.91 -23.94 10.69 55.49 0.59 -23.35 16 17 Si 0.90 20.65 29.56 -169.99 -5.02 15.62 16 18 H -0.29 -6.63 7.11 56.52 0.40 -6.23 16 19 H -0.29 -6.71 7.11 56.52 0.40 -6.31 16 20 H -0.28 -6.35 7.11 56.52 0.40 -5.95 16 21 C 0.14 3.09 4.63 -3.71 -0.02 3.07 16 22 C 0.06 1.19 3.31 -26.61 -0.09 1.10 16 23 H 0.06 1.11 8.14 -51.93 -0.42 0.69 16 24 O -0.57 -9.68 13.21 -35.23 -0.47 -10.15 16 25 C -0.11 -1.27 4.19 -26.73 -0.11 -1.38 16 26 C -0.12 -1.48 5.70 -26.73 -0.15 -1.63 16 27 C -0.12 -1.29 5.92 -26.73 -0.16 -1.45 16 28 C -0.13 -1.60 5.63 -26.73 -0.15 -1.75 16 29 C -0.09 -1.10 4.35 -26.73 -0.12 -1.21 16 30 H 0.11 2.07 8.06 -52.48 -0.42 1.64 16 31 H 0.09 1.43 7.24 -52.49 -0.38 1.05 16 32 H 0.11 1.46 6.55 -52.49 -0.34 1.11 16 33 H 0.07 0.91 7.80 -51.93 -0.41 0.50 16 34 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 35 H 0.40 6.79 4.04 -40.82 -0.16 6.63 16 36 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 37 H 0.07 1.24 7.22 -51.93 -0.38 0.87 16 38 H 0.05 1.02 7.93 -51.93 -0.41 0.61 16 39 H 0.04 0.76 3.87 -51.93 -0.20 0.56 16 40 H 0.25 6.58 8.31 -40.82 -0.34 6.24 16 41 H 0.10 2.47 5.79 -51.93 -0.30 2.17 16 42 H 0.02 0.51 6.73 -51.93 -0.35 0.16 16 43 H 0.38 5.11 9.08 45.56 0.41 5.53 16 44 H 0.07 0.87 5.39 -51.93 -0.28 0.59 16 45 H 0.07 0.72 8.14 -51.93 -0.42 0.29 16 46 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 47 H 0.06 0.95 7.22 -51.93 -0.37 0.57 16 48 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 49 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 50 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 51 H 0.09 1.32 5.77 -51.93 -0.30 1.02 16 52 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 53 H 0.07 0.88 8.02 -51.93 -0.42 0.47 16 LS Contribution 382.85 15.07 5.77 5.77 Total: -1.00 -27.52 382.85 -9.35 -36.87 By element: Atomic # 1 Polarization: 24.53 SS G_CDS: -8.08 Total: 16.46 kcal Atomic # 6 Polarization: -3.85 SS G_CDS: -1.51 Total: -5.36 kcal Atomic # 7 Polarization: -48.77 SS G_CDS: -0.12 Total: -48.89 kcal Atomic # 8 Polarization: -20.08 SS G_CDS: -0.39 Total: -20.47 kcal Atomic # 14 Polarization: 20.65 SS G_CDS: -5.02 Total: 15.62 kcal Total LS contribution 5.77 Total: 5.77 kcal Total: -27.52 -9.35 -36.87 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. ZINC001100122499.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 -25.286 kcal (2) G-P(sol) polarization free energy of solvation -27.516 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -52.802 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.353 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.869 kcal (6) G-S(sol) free energy of system = (1) + (5) -62.155 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.96 seconds