Wall clock time and date at job start Sat Apr 11 2020 06:14:10 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 1.53002 * 1 3 3 O 1.42901 * 109.46841 * 2 1 4 4 C 1.42904 * 113.99690 * 180.02562 * 3 2 1 5 5 C 1.53780 * 113.61172 * 210.00024 * 4 3 2 6 6 C 1.53785 * 87.07878 * 219.93258 * 5 4 3 7 7 C 1.53005 * 113.61251 * 139.98113 * 6 5 4 8 8 C 1.50707 * 109.46804 * 175.00200 * 7 6 5 9 9 O 1.21279 * 120.00144 * 359.97438 * 8 7 6 10 10 N 1.34772 * 119.99835 * 179.97438 * 8 7 6 11 11 C 1.46505 * 120.00019 * 179.97438 * 10 8 7 12 12 C 1.52995 * 109.46970 * 180.02562 * 11 10 8 13 13 H 1.08997 * 109.40965 * 305.16195 * 12 11 10 14 14 C 1.54668 * 109.34858 * 185.54695 * 12 11 10 15 15 N 1.48179 * 110.48877 * 200.71992 * 14 12 11 16 16 C 1.36941 * 118.51050 * 138.65975 * 15 14 12 17 17 H 1.07998 * 120.00034 * 206.47328 * 16 15 14 18 18 C 1.38817 * 119.99873 * 26.47305 * 16 15 14 19 19 N 1.31620 * 119.99793 * 16.68459 * 18 16 15 20 20 Si 1.86798 * 119.99607 * 196.68525 * 18 16 15 21 21 H 1.48496 * 109.46872 * 180.02562 * 20 18 16 22 22 H 1.48495 * 109.47303 * 299.99661 * 20 18 16 23 23 H 1.48500 * 109.47315 * 60.00049 * 20 18 16 24 24 C 1.44456 * 122.97747 * 318.37751 * 15 14 12 25 25 C 1.54882 * 109.32477 * 89.21440 * 24 15 14 26 26 C 1.47688 * 109.67840 * 290.10293 * 25 24 15 27 27 O 1.40531 * 109.40680 * 65.00015 * 12 11 10 28 28 C 1.53772 * 113.69191 * 112.46385 * 4 3 2 29 29 H 1.09002 * 109.46960 * 180.02562 * 1 2 3 30 30 H 1.09004 * 109.47056 * 299.99798 * 1 2 3 31 31 H 1.09000 * 109.47309 * 60.00423 * 1 2 3 32 32 H 1.08999 * 109.47059 * 239.99463 * 2 1 3 33 33 H 1.09004 * 109.47020 * 119.99991 * 2 1 3 34 34 H 1.09004 * 112.84708 * 341.19158 * 4 3 2 35 35 H 1.09000 * 113.61586 * 105.38584 * 5 4 3 36 36 H 1.08996 * 113.61334 * 334.47969 * 5 4 3 37 37 H 1.08992 * 113.61306 * 270.80055 * 6 5 4 38 38 H 1.08992 * 109.47304 * 54.99682 * 7 6 5 39 39 H 1.08997 * 109.47023 * 294.99633 * 7 6 5 40 40 H 0.97001 * 119.99889 * 359.97438 * 10 8 7 41 41 H 1.08996 * 109.46489 * 60.00126 * 11 10 8 42 42 H 1.08997 * 109.47091 * 300.00103 * 11 10 8 43 43 H 1.09006 * 109.42489 * 80.41199 * 14 12 11 44 44 H 1.08994 * 109.24321 * 320.91446 * 14 12 11 45 45 H 0.97002 * 119.99054 * 179.97438 * 19 18 16 46 46 H 1.08996 * 109.50088 * 209.16997 * 24 15 14 47 47 H 1.08998 * 109.49625 * 329.23418 * 24 15 14 48 48 H 1.08991 * 109.43383 * 50.16387 * 25 24 15 49 49 H 1.09001 * 109.43589 * 170.04012 * 25 24 15 50 50 H 1.09000 * 108.64353 * 181.88067 * 26 25 24 51 51 H 1.09000 * 108.64697 * 299.71629 * 26 25 24 52 52 H 1.08995 * 113.61792 * 25.43727 * 28 4 3 53 53 H 1.09002 * 113.61318 * 254.53826 * 28 4 3 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 6 3.9488 2.7251 0.7039 6 6 4.9910 2.8302 -0.4220 7 6 5.2337 4.2630 -0.9008 8 6 6.3519 4.2724 -1.9111 9 8 6.9010 3.2353 -2.2176 10 7 6.7417 5.4332 -2.4740 11 6 7.8292 5.4424 -3.4558 12 6 8.0717 6.8751 -3.9346 13 1 7.1386 7.2940 -4.3114 14 6 9.1214 6.8650 -5.0705 15 7 9.7412 8.2031 -5.2159 16 6 11.0912 8.2780 -5.4329 17 1 11.6391 9.1575 -5.1284 18 6 11.7555 7.2235 -6.0443 19 7 11.0746 6.3112 -6.7048 20 14 13.6159 7.0995 -5.9294 21 1 14.0775 5.8926 -6.6612 22 1 14.2308 8.3090 -6.5327 23 1 14.0181 6.9985 -4.5035 24 6 8.9849 9.4318 -5.1450 25 6 8.9224 9.9110 -3.6735 26 6 8.0634 9.0003 -2.8900 27 8 8.5332 7.6547 -2.8603 28 6 4.0038 2.0455 -1.3020 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5138 -0.8900 32 1 1.8933 -0.5139 -0.8899 33 1 1.8933 -0.5139 0.8900 34 1 3.9280 0.5456 0.3229 35 1 4.3836 2.5318 1.6846 36 1 3.2309 3.5452 0.7122 37 1 5.9152 2.2914 -0.2132 38 1 5.5064 4.8887 -0.0511 39 1 4.3251 4.6511 -1.3610 40 1 6.3023 6.2626 -2.2291 41 1 7.5568 4.8162 -4.3053 42 1 8.7378 5.0549 -2.9951 43 1 8.6385 6.5892 -6.0080 44 1 9.8957 6.1340 -4.8376 45 1 11.5389 5.5746 -7.1323 46 1 9.4702 10.1934 -5.7553 47 1 7.9743 9.2588 -5.5149 48 1 9.9269 9.9155 -3.2506 49 1 8.5098 10.9193 -3.6377 50 1 8.0042 9.3714 -1.8668 51 1 7.0617 9.0103 -3.3197 52 1 3.3009 2.6797 -1.8421 53 1 4.4829 1.3034 -1.9407 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 ZINC001150173040.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 06:14:10 Heat of formation + Delta-G solvation = -90.722051 kcal Electronic energy + Delta-G solvation = -30111.219046 eV Core-core repulsion = 25984.322784 eV Total energy + Delta-G solvation = -4126.896262 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -40.21283 -39.25699 -38.56704 -36.69582 -35.13604 -34.55179 -32.58488 -31.63807 -31.12310 -30.04841 -28.48528 -25.92394 -25.59513 -25.25068 -23.51376 -23.01060 -22.27649 -20.95682 -20.28622 -19.71718 -19.55572 -17.39076 -16.96564 -16.76847 -16.27995 -15.96074 -15.80334 -15.75323 -15.14516 -14.94216 -14.89033 -14.36975 -13.97070 -13.63488 -13.53498 -13.21509 -13.12803 -12.88764 -12.65203 -12.63765 -12.53236 -12.43260 -12.32586 -12.11493 -11.75071 -11.58977 -11.52082 -11.15247 -11.04600 -10.89205 -10.83935 -10.71709 -10.60505 -10.52265 -10.23004 -10.02378 -9.92111 -9.73268 -9.66387 -9.59971 -8.86965 -8.81672 -8.39280 -6.68789 -5.77709 -3.20369 2.80760 3.27618 3.40688 3.46759 3.47089 3.49057 4.27222 4.29900 4.36399 4.52211 4.56855 4.57911 4.73650 4.82833 4.94896 4.95934 5.02365 5.15058 5.28734 5.34398 5.40020 5.44236 5.45565 5.49666 5.53874 5.54361 5.56382 5.58544 5.63155 5.75224 5.75569 5.85663 5.90103 5.97760 6.02951 6.11563 6.20954 6.23190 6.32745 6.38017 6.48819 6.67467 6.76698 6.97135 7.00568 7.17154 7.55874 7.67381 7.82661 7.96903 8.39620 8.47269 9.22312 9.89135 10.33560 11.30298 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019177 B = 0.001940 C = 0.001837 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1459.701695 B =14431.751540 C =15237.152327 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C 0.055 3.945 3 O -0.377 6.377 4 C 0.061 3.939 5 C -0.132 4.132 6 C -0.092 4.092 7 C -0.129 4.129 8 C 0.509 3.491 9 O -0.543 6.543 10 N -0.724 5.724 11 C 0.124 3.876 12 C 0.056 3.944 13 H 0.047 0.953 14 C 0.166 3.834 15 N -0.585 5.585 16 C -0.257 4.257 17 H 0.064 0.936 18 C 0.005 3.995 19 N -0.905 5.905 20 Si 0.901 3.099 21 H -0.291 1.291 22 H -0.283 1.283 23 H -0.284 1.284 24 C 0.157 3.843 25 C -0.183 4.183 26 C 0.079 3.921 27 O -0.359 6.359 28 C -0.146 4.146 29 H 0.069 0.931 30 H 0.062 0.938 31 H 0.063 0.937 32 H 0.048 0.952 33 H 0.047 0.953 34 H 0.086 0.914 35 H 0.072 0.928 36 H 0.091 0.909 37 H 0.103 0.897 38 H 0.095 0.905 39 H 0.093 0.907 40 H 0.398 0.602 41 H 0.079 0.921 42 H 0.076 0.924 43 H 0.037 0.963 44 H 0.081 0.919 45 H 0.255 0.745 46 H 0.050 0.950 47 H 0.028 0.972 48 H 0.070 0.930 49 H 0.058 0.942 50 H 0.066 0.934 51 H 0.034 0.966 52 H 0.087 0.913 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.540 -5.952 14.045 24.790 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 -0.209 4.209 2 C -0.022 4.022 3 O -0.296 6.296 4 C 0.003 3.997 5 C -0.170 4.170 6 C -0.111 4.111 7 C -0.169 4.169 8 C 0.295 3.705 9 O -0.420 6.420 10 N -0.375 5.375 11 C 0.001 3.999 12 C -0.004 4.004 13 H 0.065 0.935 14 C 0.040 3.960 15 N -0.306 5.306 16 C -0.387 4.387 17 H 0.082 0.918 18 C -0.193 4.193 19 N -0.549 5.549 20 Si 0.731 3.269 21 H -0.216 1.216 22 H -0.210 1.210 23 H -0.210 1.210 24 C 0.029 3.971 25 C -0.224 4.224 26 C 0.002 3.998 27 O -0.278 6.278 28 C -0.184 4.184 29 H 0.088 0.912 30 H 0.081 0.919 31 H 0.082 0.918 32 H 0.066 0.934 33 H 0.065 0.935 34 H 0.104 0.896 35 H 0.091 0.909 36 H 0.110 0.890 37 H 0.121 0.879 38 H 0.113 0.887 39 H 0.111 0.889 40 H 0.231 0.769 41 H 0.097 0.903 42 H 0.094 0.906 43 H 0.055 0.945 44 H 0.100 0.900 45 H 0.065 0.935 46 H 0.068 0.932 47 H 0.046 0.954 48 H 0.089 0.911 49 H 0.076 0.924 50 H 0.084 0.916 51 H 0.052 0.948 52 H 0.106 0.894 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -19.088 -6.777 13.836 24.530 hybrid contribution 0.869 0.276 -0.072 0.915 sum -18.219 -6.501 13.764 23.741 Atomic orbital electron populations 1.21750 0.93889 1.02174 1.03084 1.22499 0.95522 0.84169 0.99977 1.87943 1.20880 1.26121 1.94643 1.23685 0.80758 0.97923 0.97328 1.23317 0.97726 0.97931 0.98015 1.22066 0.97927 0.94850 0.96234 1.21631 0.98012 0.98595 0.98619 1.20632 0.84288 0.83580 0.82025 1.90697 1.56591 1.32016 1.62680 1.46044 1.37697 1.09519 1.44219 1.21555 0.89947 0.96634 0.91783 1.23217 0.98020 0.89599 0.89609 0.93537 1.21688 0.94034 0.88304 0.91963 1.43562 1.05044 0.99287 1.82680 1.19123 0.83402 1.03630 1.32510 0.91846 1.25007 0.97987 0.99101 0.97209 1.70025 1.34582 1.15172 1.35157 0.86386 0.85685 0.77060 0.77734 1.21644 1.20952 1.21005 1.20667 0.94537 0.89616 0.92304 1.22299 1.01399 0.97628 1.01094 1.21291 0.95562 0.83582 0.99344 1.87437 1.74226 1.20552 1.45551 1.23532 0.97770 1.00218 0.96894 0.91223 0.91937 0.91838 0.93375 0.93519 0.89624 0.90920 0.89050 0.87884 0.88714 0.88888 0.76886 0.90274 0.90581 0.94461 0.90043 0.93530 0.93151 0.95397 0.91131 0.92381 0.91588 0.94809 0.89416 0.90942 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 -0.15 -0.93 10.28 37.16 0.38 -0.55 16 2 C 0.05 0.41 6.50 37.16 0.24 0.65 16 3 O -0.38 -3.70 10.36 -35.23 -0.36 -4.06 16 4 C 0.06 0.54 4.31 -25.92 -0.11 0.43 16 5 C -0.13 -1.07 7.47 -25.92 -0.19 -1.27 16 6 C -0.09 -0.89 3.15 -89.80 -0.28 -1.17 16 7 C -0.13 -1.22 5.54 -27.88 -0.15 -1.37 16 8 C 0.51 7.05 7.83 -10.98 -0.09 6.96 16 9 O -0.54 -9.70 15.76 5.56 0.09 -9.62 16 10 N -0.72 -9.88 5.50 -60.29 -0.33 -10.21 16 11 C 0.12 2.12 5.24 -4.04 -0.02 2.10 16 12 C 0.06 1.01 2.35 -25.86 -0.06 0.95 16 13 H 0.05 0.77 7.21 -51.93 -0.37 0.40 16 14 C 0.17 3.87 4.53 -2.24 -0.01 3.86 16 15 N -0.58 -14.34 2.58 -171.25 -0.44 -14.79 16 16 C -0.26 -7.03 9.42 -15.06 -0.14 -7.17 16 17 H 0.06 1.72 7.88 -52.49 -0.41 1.31 16 18 C 0.01 0.15 4.85 -17.43 -0.08 0.07 16 19 N -0.91 -26.09 11.09 55.49 0.62 -25.47 16 20 Si 0.90 22.03 29.59 -169.99 -5.03 17.00 16 21 H -0.29 -7.15 7.11 56.52 0.40 -6.75 16 22 H -0.28 -6.81 7.11 56.52 0.40 -6.40 16 23 H -0.28 -6.95 7.11 56.52 0.40 -6.54 16 24 C 0.16 3.19 5.68 -4.14 -0.02 3.16 16 25 C -0.18 -3.14 6.04 -28.31 -0.17 -3.31 16 26 C 0.08 1.24 6.04 34.59 0.21 1.44 16 27 O -0.36 -6.71 9.78 -34.10 -0.33 -7.04 16 28 C -0.15 -1.46 7.46 -25.92 -0.19 -1.65 16 29 H 0.07 0.31 8.14 -51.93 -0.42 -0.11 16 30 H 0.06 0.39 8.14 -51.93 -0.42 -0.04 16 31 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 32 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 33 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 34 H 0.09 0.68 7.87 -51.93 -0.41 0.27 16 35 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 36 H 0.09 0.72 8.10 -51.93 -0.42 0.30 16 37 H 0.10 1.15 7.67 -51.93 -0.40 0.75 16 38 H 0.09 0.74 8.14 -51.93 -0.42 0.31 16 39 H 0.09 0.73 7.84 -51.93 -0.41 0.33 16 40 H 0.40 4.44 8.47 -40.82 -0.35 4.10 16 41 H 0.08 1.38 8.14 -51.93 -0.42 0.96 16 42 H 0.08 1.47 8.14 -51.93 -0.42 1.05 16 43 H 0.04 0.93 8.02 -51.93 -0.42 0.51 16 44 H 0.08 2.16 6.30 -51.93 -0.33 1.83 16 45 H 0.25 7.17 8.31 -40.82 -0.34 6.83 16 46 H 0.05 1.04 7.97 -51.93 -0.41 0.62 16 47 H 0.03 0.53 8.10 -51.93 -0.42 0.11 16 48 H 0.07 1.37 8.14 -51.93 -0.42 0.95 16 49 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 50 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 51 H 0.03 0.47 7.28 -51.93 -0.38 0.09 16 52 H 0.09 0.88 7.90 -51.93 -0.41 0.47 16 53 H 0.07 0.79 8.14 -51.93 -0.42 0.37 16 LS Contribution 417.39 15.07 6.29 6.29 Total: -1.00 -32.35 417.39 -9.98 -42.32 By element: Atomic # 1 Polarization: 12.21 SS G_CDS: -9.77 Total: 2.44 kcal Atomic # 6 Polarization: 3.84 SS G_CDS: -0.70 Total: 3.14 kcal Atomic # 7 Polarization: -50.31 SS G_CDS: -0.16 Total: -50.47 kcal Atomic # 8 Polarization: -20.11 SS G_CDS: -0.61 Total: -20.72 kcal Atomic # 14 Polarization: 22.03 SS G_CDS: -5.03 Total: 17.00 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -32.35 -9.98 -42.32 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. ZINC001150173040.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 -48.399 kcal (2) G-P(sol) polarization free energy of solvation -32.347 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -80.747 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.975 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.323 kcal (6) G-S(sol) free energy of system = (1) + (5) -90.722 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.25 seconds