Wall clock time and date at job start Tue Mar 31 2020 20:23:54 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 1.52999 * 109.47628 * 2 1 4 4 C 1.50705 * 109.47432 * 239.99535 * 2 1 3 5 5 H 1.07997 * 120.00569 * 240.00816 * 4 2 1 6 6 C 1.37886 * 119.99306 * 60.00249 * 4 2 1 7 7 N 1.31510 * 120.00027 * 359.97438 * 6 4 2 8 8 Si 1.86797 * 119.99454 * 180.02562 * 6 4 2 9 9 H 1.48504 * 109.47612 * 60.00076 * 8 6 4 10 10 H 1.48500 * 109.46831 * 179.97438 * 8 6 4 11 11 H 1.48500 * 109.47327 * 299.99946 * 8 6 4 12 12 C 1.53007 * 109.47077 * 120.00025 * 2 1 3 13 13 N 1.46498 * 109.46876 * 300.00006 * 12 2 1 14 14 C 1.34776 * 119.99857 * 180.02562 * 13 12 2 15 15 O 1.21350 * 120.00198 * 359.97438 * 14 13 12 16 16 C 1.49456 * 119.99918 * 179.97438 * 14 13 12 17 17 O 1.21349 * 119.99708 * 354.40556 * 16 14 13 18 18 N 1.34770 * 119.99631 * 174.39679 * 16 14 13 19 19 C 1.46505 * 119.99599 * 188.16234 * 18 16 14 20 20 C 1.52995 * 117.49972 * 16.27558 * 19 18 16 21 21 C 1.52998 * 117.50175 * 307.61327 * 19 18 16 22 22 C 1.46500 * 120.00586 * 8.17042 * 18 16 14 23 23 C 1.52994 * 109.46885 * 294.63477 * 22 18 16 24 24 C 1.53004 * 109.47175 * 179.97438 * 23 22 18 25 25 C 1.52993 * 109.47019 * 300.00043 * 24 23 22 26 26 C 1.53002 * 109.47413 * 59.99943 * 25 24 23 27 27 C 1.52995 * 109.46954 * 299.99828 * 26 25 24 28 28 H 1.08999 * 109.47059 * 300.00337 * 1 2 3 29 29 H 1.09001 * 109.46723 * 60.00229 * 1 2 3 30 30 H 1.09003 * 109.47162 * 180.02562 * 1 2 3 31 31 H 1.08999 * 109.47221 * 179.97438 * 3 2 1 32 32 H 1.09001 * 109.46881 * 299.99674 * 3 2 1 33 33 H 1.08999 * 109.47176 * 59.99734 * 3 2 1 34 34 H 0.97000 * 119.99242 * 179.97438 * 7 6 4 35 35 H 1.08995 * 109.46905 * 179.97438 * 12 2 1 36 36 H 1.09001 * 109.46681 * 59.99963 * 12 2 1 37 37 H 0.96997 * 120.00089 * 359.97438 * 13 12 2 38 38 H 1.09006 * 115.55012 * 161.94323 * 19 18 16 39 39 H 1.08998 * 117.50005 * 359.97438 * 20 19 18 40 40 H 1.08997 * 117.50029 * 145.02016 * 20 19 18 41 41 H 1.09002 * 117.49716 * 214.97945 * 21 19 18 42 42 H 1.09001 * 117.49780 * 359.97029 * 21 19 18 43 43 H 1.09001 * 109.47623 * 174.63523 * 22 18 16 44 44 H 1.09001 * 109.47491 * 299.99907 * 23 22 18 45 45 H 1.09004 * 109.47670 * 59.99805 * 23 22 18 46 46 H 1.09004 * 109.47051 * 180.02562 * 24 23 22 47 47 H 1.08992 * 109.47087 * 60.00138 * 24 23 22 48 48 H 1.09004 * 109.47404 * 299.99633 * 25 24 23 49 49 H 1.08996 * 109.47046 * 180.02562 * 25 24 23 50 50 H 1.08999 * 109.46869 * 180.02562 * 26 25 24 51 51 H 1.09001 * 109.46822 * 59.99951 * 26 25 24 52 52 H 1.09001 * 109.47463 * 300.00291 * 27 26 25 53 53 H 1.08994 * 109.47442 * 179.97438 * 27 26 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 6 2.0401 1.4424 0.0000 4 6 2.0324 -0.7105 -1.2304 5 1 2.6532 -1.5886 -1.1313 6 6 1.6993 -0.2394 -2.4827 7 7 0.9428 0.8296 -2.6034 8 14 2.3214 -1.1205 -4.0079 9 1 1.8259 -2.5204 -4.0077 10 1 1.8261 -0.4207 -5.2204 11 1 3.8064 -1.1211 -4.0081 12 6 2.0400 -0.7213 1.2493 13 7 1.5516 -0.0307 2.4454 14 6 1.8776 -0.4908 3.6695 15 8 2.5753 -1.4774 3.7809 16 6 1.3799 0.2141 4.8898 17 8 0.7683 1.2565 4.7812 18 7 1.6102 -0.3081 6.1106 19 6 0.9738 0.2812 7.2913 20 6 -0.2140 1.2175 7.0604 21 6 1.1358 1.7877 7.5033 22 6 2.4970 -1.4650 6.2572 23 6 1.8728 -2.6772 5.5632 24 6 2.7993 -3.8853 5.7156 25 6 4.1538 -3.5731 5.0764 26 6 4.7781 -2.3608 5.7705 27 6 3.8517 -1.1528 5.6180 28 1 -0.3633 0.5139 0.8899 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3634 -1.0277 0.0005 31 1 3.1301 1.4424 0.0005 32 1 1.6768 1.9563 -0.8900 33 1 1.6768 1.9563 0.8899 34 1 0.7089 1.1611 -3.4844 35 1 3.1299 -0.7217 1.2490 36 1 1.6766 -1.7489 1.2492 37 1 0.9943 0.7582 2.3564 38 1 0.9504 -0.3522 8.1782 39 1 -0.5217 1.3953 6.0300 40 1 -1.0186 1.2004 7.7954 41 1 1.2185 2.1455 8.5296 42 1 1.7162 2.3404 6.7645 43 1 2.6364 -1.6843 7.3158 44 1 0.9076 -2.8994 6.0182 45 1 1.7335 -2.4580 4.5045 46 1 2.3548 -4.7488 5.2208 47 1 2.9390 -4.1047 6.7741 48 1 4.0141 -3.3537 4.0179 49 1 4.8136 -4.4338 5.1847 50 1 5.7428 -2.1382 5.3147 51 1 4.9177 -2.5803 6.8290 52 1 3.7119 -0.9334 4.5595 53 1 4.2961 -0.2893 6.1128 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 ZINC001328961887.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 20:23:54 Heat of formation + Delta-G solvation = 20.176286 kcal Electronic energy + Delta-G solvation = -31799.715839 eV Core-core repulsion = 27868.084541 eV Total energy + Delta-G solvation = -3931.631298 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -41.59877 -39.11556 -38.19993 -36.48614 -36.22338 -33.87598 -33.31904 -30.94534 -30.64629 -28.90490 -26.52842 -25.75298 -25.37367 -24.38670 -22.73547 -22.49482 -22.32480 -21.78755 -20.36065 -18.88385 -18.63283 -17.79639 -16.58654 -16.45347 -16.21707 -15.81676 -15.39103 -15.11578 -14.79975 -14.69637 -14.18466 -13.92599 -13.71134 -13.58145 -13.25691 -12.96669 -12.73446 -12.68004 -12.62562 -12.24693 -12.02204 -11.80545 -11.56213 -11.33102 -11.23519 -11.19835 -10.96866 -10.77039 -10.75192 -10.62224 -10.52704 -10.22494 -10.18728 -10.14991 -9.99111 -9.68841 -9.58272 -9.39787 -8.93102 -8.81726 -8.47112 -8.42548 -8.11023 -6.04985 -4.16067 1.51605 2.44094 3.26052 3.27781 3.32889 3.35412 3.61080 3.85502 4.36159 4.57370 4.73085 4.77120 4.87278 4.91672 4.98386 5.06841 5.20594 5.21741 5.39783 5.49007 5.52642 5.62971 5.65820 5.67677 5.72261 5.87419 5.93031 6.06226 6.10060 6.14892 6.18251 6.25269 6.31695 6.34827 6.42695 6.43215 6.51878 6.62009 6.74857 6.81859 6.87737 6.89342 6.97219 7.04908 7.10821 7.30749 7.52011 7.60267 7.67208 7.95795 7.97177 8.10193 8.29823 8.37847 8.83877 9.50040 10.96291 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013822 B = 0.003481 C = 0.002954 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2025.227296 B = 8040.785418 C = 9477.852030 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C 0.057 3.943 3 C -0.133 4.133 4 C -0.509 4.509 5 H 0.058 0.942 6 C 0.068 3.932 7 N -0.884 5.884 8 Si 0.894 3.106 9 H -0.277 1.277 10 H -0.288 1.288 11 H -0.277 1.277 12 C 0.128 3.872 13 N -0.674 5.674 14 C 0.459 3.541 15 O -0.473 6.473 16 C 0.511 3.489 17 O -0.516 6.516 18 N -0.559 5.559 19 C 0.068 3.932 20 C -0.190 4.190 21 C -0.185 4.185 22 C 0.162 3.838 23 C -0.177 4.177 24 C -0.101 4.101 25 C -0.116 4.116 26 C -0.101 4.101 27 C -0.180 4.180 28 H 0.008 0.992 29 H 0.087 0.913 30 H 0.027 0.973 31 H 0.027 0.973 32 H 0.086 0.914 33 H 0.008 0.992 34 H 0.261 0.739 35 H 0.063 0.937 36 H 0.063 0.937 37 H 0.410 0.590 38 H 0.129 0.871 39 H 0.134 0.866 40 H 0.091 0.909 41 H 0.095 0.905 42 H 0.098 0.902 43 H 0.076 0.924 44 H 0.042 0.958 45 H 0.143 0.857 46 H 0.058 0.942 47 H 0.047 0.953 48 H 0.077 0.923 49 H 0.049 0.951 50 H 0.058 0.942 51 H 0.047 0.953 52 H 0.143 0.857 53 H 0.042 0.958 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.742 -3.373 19.132 19.505 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 -0.191 4.191 2 C 0.056 3.944 3 C -0.191 4.191 4 C -0.547 4.547 5 H 0.076 0.924 6 C -0.134 4.134 7 N -0.522 5.522 8 Si 0.722 3.278 9 H -0.203 1.203 10 H -0.213 1.213 11 H -0.203 1.203 12 C 0.006 3.994 13 N -0.324 5.324 14 C 0.243 3.757 15 O -0.355 6.355 16 C 0.295 3.705 17 O -0.393 6.393 18 N -0.290 5.290 19 C -0.037 4.037 20 C -0.227 4.227 21 C -0.223 4.223 22 C 0.060 3.940 23 C -0.214 4.214 24 C -0.140 4.140 25 C -0.153 4.153 26 C -0.139 4.139 27 C -0.216 4.216 28 H 0.027 0.973 29 H 0.105 0.895 30 H 0.046 0.954 31 H 0.046 0.954 32 H 0.105 0.895 33 H 0.027 0.973 34 H 0.071 0.929 35 H 0.081 0.919 36 H 0.081 0.919 37 H 0.247 0.753 38 H 0.147 0.853 39 H 0.152 0.848 40 H 0.109 0.891 41 H 0.113 0.887 42 H 0.117 0.883 43 H 0.094 0.906 44 H 0.061 0.939 45 H 0.158 0.842 46 H 0.077 0.923 47 H 0.065 0.935 48 H 0.096 0.904 49 H 0.068 0.932 50 H 0.077 0.923 51 H 0.066 0.934 52 H 0.159 0.841 53 H 0.061 0.939 Dipole moment (debyes) X Y Z Total from point charges 1.807 -3.376 18.956 19.339 hybrid contribution 0.127 -0.168 -0.460 0.505 sum 1.933 -3.543 18.497 18.932 Atomic orbital electron populations 1.21852 0.97624 0.99230 1.00362 1.18368 0.92924 0.92839 0.90274 1.21851 0.98584 0.98268 1.00378 1.20898 1.31831 1.12210 0.89777 0.92420 1.24876 0.94789 0.94886 0.98859 1.69795 1.36336 1.22625 1.23426 0.86630 0.79218 0.79775 0.82205 1.20278 1.21328 1.20270 1.21958 0.98553 0.96021 0.82890 1.46246 1.49998 1.31087 1.05052 1.19976 0.84297 0.86208 0.85199 1.90289 1.35200 1.24539 1.85501 1.20332 0.80460 0.85046 0.84637 1.90610 1.40034 1.22165 1.86473 1.47396 1.45592 1.31411 1.04583 1.21778 1.01114 0.91406 0.89363 1.23757 0.91439 1.01914 1.05609 1.23265 1.01101 0.95752 1.02199 1.21126 0.89292 0.84034 0.99526 1.23247 0.97023 0.93416 1.07680 1.21298 0.95883 0.97326 0.99457 1.21488 0.95621 0.96729 1.01479 1.21287 0.98083 0.95170 0.99342 1.23307 0.93012 0.97401 1.07901 0.97345 0.89478 0.95378 0.95375 0.89495 0.97296 0.92869 0.91895 0.91911 0.75281 0.85296 0.84846 0.89064 0.88666 0.88326 0.90608 0.93895 0.84163 0.92349 0.93471 0.90426 0.93189 0.92335 0.93446 0.84117 0.93917 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 -0.13 -2.94 8.08 37.16 0.30 -2.64 16 2 C 0.06 1.26 0.50 -155.66 -0.08 1.18 16 3 C -0.13 -2.96 8.08 37.16 0.30 -2.66 16 4 C -0.51 -12.78 8.01 -34.43 -0.28 -13.06 16 5 H 0.06 1.44 7.74 -52.49 -0.41 1.04 16 6 C 0.07 1.73 5.15 -17.82 -0.09 1.64 16 7 N -0.88 -23.16 9.35 55.43 0.52 -22.64 16 8 Si 0.89 20.23 29.54 -169.99 -5.02 15.21 16 9 H -0.28 -6.27 7.11 56.52 0.40 -5.86 16 10 H -0.29 -6.52 7.11 56.52 0.40 -6.12 16 11 H -0.28 -6.27 7.11 56.52 0.40 -5.87 16 12 C 0.13 2.46 4.50 -4.04 -0.02 2.44 16 13 N -0.67 -11.51 4.95 -60.73 -0.30 -11.81 16 14 C 0.46 7.24 6.55 -11.58 -0.08 7.16 16 15 O -0.47 -7.29 6.31 5.50 0.03 -7.26 16 16 C 0.51 7.70 7.04 -11.59 -0.08 7.62 16 17 O -0.52 -8.53 12.23 5.50 0.07 -8.46 16 18 N -0.56 -7.13 2.79 -159.08 -0.44 -7.58 16 19 C 0.07 0.74 6.56 -67.93 -0.45 0.29 16 20 C -0.19 -2.16 9.63 -26.70 -0.26 -2.41 16 21 C -0.18 -2.01 9.87 -26.69 -0.26 -2.27 16 22 C 0.16 1.92 2.56 -67.93 -0.17 1.75 16 23 C -0.18 -2.19 4.94 -26.73 -0.13 -2.32 16 24 C -0.10 -1.13 5.92 -26.73 -0.16 -1.29 16 25 C -0.12 -1.34 5.69 -26.73 -0.15 -1.49 16 26 C -0.10 -1.13 5.92 -26.73 -0.16 -1.29 16 27 C -0.18 -2.26 4.79 -26.73 -0.13 -2.39 16 28 H 0.01 0.15 6.86 -51.93 -0.36 -0.20 16 29 H 0.09 2.15 6.07 -51.93 -0.32 1.84 16 30 H 0.03 0.61 8.14 -51.93 -0.42 0.18 16 31 H 0.03 0.61 8.14 -51.93 -0.42 0.19 16 32 H 0.09 2.15 6.07 -51.93 -0.32 1.84 16 33 H 0.01 0.16 6.86 -51.93 -0.36 -0.19 16 34 H 0.26 6.65 8.31 -40.82 -0.34 6.32 16 35 H 0.06 1.24 8.14 -51.93 -0.42 0.81 16 36 H 0.06 1.23 8.14 -51.93 -0.42 0.81 16 37 H 0.41 7.13 5.65 -40.82 -0.23 6.89 16 38 H 0.13 1.10 8.05 -51.93 -0.42 0.68 16 39 H 0.13 1.89 5.29 -51.97 -0.27 1.61 16 40 H 0.09 0.84 8.14 -51.93 -0.42 0.42 16 41 H 0.09 0.82 8.14 -51.93 -0.42 0.40 16 42 H 0.10 1.28 7.54 -51.93 -0.39 0.89 16 43 H 0.08 0.79 7.86 -51.93 -0.41 0.39 16 44 H 0.04 0.52 8.14 -51.93 -0.42 0.10 16 45 H 0.14 2.08 3.77 5.16 0.02 2.09 16 46 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 47 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 48 H 0.08 1.05 7.05 -51.93 -0.37 0.68 16 49 H 0.05 0.52 8.14 -51.93 -0.42 0.10 16 50 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 51 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 52 H 0.14 2.10 3.64 5.16 0.02 2.12 16 53 H 0.04 0.54 8.14 -51.93 -0.42 0.11 16 LS Contribution 386.88 15.07 5.83 5.83 Total: -1.00 -24.99 386.88 -9.64 -34.63 By element: Atomic # 1 Polarization: 20.23 SS G_CDS: -8.43 Total: 11.80 kcal Atomic # 6 Polarization: -7.84 SS G_CDS: -1.89 Total: -9.73 kcal Atomic # 7 Polarization: -41.80 SS G_CDS: -0.23 Total: -42.02 kcal Atomic # 8 Polarization: -15.82 SS G_CDS: 0.10 Total: -15.72 kcal Atomic # 14 Polarization: 20.23 SS G_CDS: -5.02 Total: 15.21 kcal Total LS contribution 5.83 Total: 5.83 kcal Total: -24.99 -9.64 -34.63 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. ZINC001328961887.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 54.806 kcal (2) G-P(sol) polarization free energy of solvation -24.995 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 29.812 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.636 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -34.630 kcal (6) G-S(sol) free energy of system = (1) + (5) 20.176 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds