Wall clock time and date at job start Tue Mar 31 2020 19:18:51 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 1.53003 * 109.47067 * 2 1 4 4 C 1.53003 * 109.47064 * 184.37741 * 3 2 1 5 5 C 1.52997 * 109.47083 * 177.94111 * 4 3 2 6 6 C 1.50706 * 115.55269 * 301.39895 * 5 4 3 7 7 O 1.21281 * 119.99906 * 99.06778 * 6 5 4 8 8 N 1.34774 * 119.99870 * 279.06951 * 6 5 4 9 9 C 1.46878 * 120.30323 * 355.26718 * 8 6 5 10 10 C 1.53365 * 109.22919 * 232.11724 * 9 8 6 11 11 C 1.52788 * 108.92871 * 306.36838 * 10 9 8 12 12 H 1.08995 * 109.34538 * 302.77772 * 11 10 9 13 13 O 1.42600 * 111.11165 * 182.46034 * 11 10 9 14 14 C 1.43149 * 113.62969 * 176.39034 * 13 11 10 15 15 C 1.53193 * 109.74229 * 61.69270 * 14 13 11 16 16 N 1.47352 * 108.79769 * 308.78537 * 15 14 13 17 17 C 1.36935 * 121.30680 * 230.22048 * 16 15 14 18 18 H 1.07996 * 119.99946 * 154.96731 * 17 16 15 19 19 C 1.38817 * 120.00073 * 334.96638 * 17 16 15 20 20 N 1.31622 * 119.99680 * 343.89440 * 19 17 16 21 21 Si 1.86794 * 120.00069 * 163.89115 * 19 17 16 22 22 H 1.48499 * 109.47550 * 60.00154 * 21 19 17 23 23 H 1.48500 * 109.47002 * 180.02562 * 21 19 17 24 24 H 1.48503 * 109.47404 * 299.99789 * 21 19 17 25 25 C 1.46877 * 117.38863 * 50.24273 * 16 15 14 26 26 H 1.08998 * 110.20137 * 67.97076 * 25 16 15 27 27 C 1.47123 * 120.41408 * 175.35664 * 8 6 5 28 28 C 1.53005 * 117.51857 * 87.09984 * 5 4 3 29 29 C 1.52997 * 60.00094 * 107.48035 * 28 5 4 30 30 H 1.08998 * 109.47030 * 184.70475 * 1 2 3 31 31 H 1.08996 * 109.46891 * 304.70360 * 1 2 3 32 32 H 1.09002 * 109.47112 * 64.70262 * 1 2 3 33 33 H 1.09005 * 109.47471 * 239.99962 * 2 1 3 34 34 H 1.09000 * 109.47465 * 119.99946 * 2 1 3 35 35 H 1.08992 * 109.47259 * 64.37467 * 3 2 1 36 36 H 1.09005 * 109.46832 * 304.37246 * 3 2 1 37 37 H 1.09001 * 109.47111 * 57.94165 * 4 3 2 38 38 H 1.08994 * 109.46968 * 297.94359 * 4 3 2 39 39 H 1.08995 * 109.41042 * 112.25950 * 9 8 6 40 40 H 1.08999 * 109.63233 * 352.11160 * 9 8 6 41 41 H 1.09003 * 109.58632 * 186.50254 * 10 9 8 42 42 H 1.09001 * 109.58344 * 66.23475 * 10 9 8 43 43 H 1.08996 * 109.42712 * 301.60750 * 14 13 11 44 44 H 1.09000 * 109.42355 * 181.77130 * 14 13 11 45 45 H 1.08994 * 109.58660 * 188.99159 * 15 14 13 46 46 H 1.09001 * 109.58645 * 68.57558 * 15 14 13 47 47 H 0.96999 * 119.99955 * 180.02562 * 20 19 17 48 48 H 1.09007 * 109.72454 * 7.10181 * 27 8 6 49 49 H 1.09000 * 109.76593 * 246.45749 * 27 8 6 50 50 H 1.09004 * 117.50103 * 214.97433 * 28 5 4 51 51 H 1.09004 * 117.49453 * 359.97438 * 28 5 4 52 52 H 1.08999 * 117.49910 * 252.50761 * 29 28 5 53 53 H 1.09002 * 117.49872 * 107.49154 * 29 28 5 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 2.0400 1.4425 0.0000 4 6 3.5660 1.4439 -0.1101 5 6 4.0723 2.8868 -0.1618 6 6 3.5373 3.7231 -1.2956 7 8 2.6168 4.4888 -1.1026 8 7 4.0820 3.6202 -2.5241 9 6 5.2623 2.7739 -2.7430 10 6 6.3470 3.5936 -3.4527 11 6 5.7528 4.2130 -4.7167 12 1 5.3546 3.4227 -5.3531 13 8 6.7394 4.9412 -5.4445 14 6 6.2602 5.4766 -6.6826 15 6 5.1229 6.4668 -6.4125 16 7 4.1264 5.8193 -5.5413 17 6 2.7940 5.8261 -5.8569 18 1 2.1448 5.0517 -5.4759 19 6 2.2776 6.8285 -6.6667 20 7 2.9684 7.9298 -6.8721 21 14 0.6024 6.6141 -7.4649 22 1 -0.4290 6.4372 -6.4113 23 1 0.2823 7.8172 -8.2745 24 1 0.6223 5.4175 -8.3440 25 6 4.6183 5.1666 -4.3209 26 1 4.9938 5.9125 -3.6204 27 6 3.5028 4.3551 -3.6595 28 6 4.3391 3.5905 1.1703 29 6 5.5103 3.1476 0.2911 30 1 -0.3633 -1.0242 0.0843 31 1 -0.3633 0.5851 0.8448 32 1 -0.3633 0.4391 -0.9291 33 1 1.8934 -0.5139 -0.8900 34 1 1.8934 -0.5138 0.8900 35 1 1.7421 1.9332 0.9265 36 1 1.6140 1.9785 -0.8483 37 1 3.8652 0.9211 -1.0185 38 1 3.9933 0.9398 0.7567 39 1 4.9865 1.9211 -3.3632 40 1 5.6421 2.4201 -1.7846 41 1 7.1794 2.9432 -3.7212 42 1 6.6999 4.3838 -2.7900 43 1 5.8927 4.6650 -7.3105 44 1 7.0740 5.9901 -7.1946 45 1 4.6546 6.7512 -7.3547 46 1 5.5200 7.3530 -5.9174 47 1 2.6075 8.6304 -7.4376 48 1 2.7212 5.0262 -3.3032 49 1 3.0836 3.6514 -4.3788 50 1 4.1277 4.6584 1.2267 51 1 4.1535 3.0256 2.0839 52 1 6.0955 2.2913 0.6263 53 1 6.0694 3.9240 -0.2310 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 ZINC001177096005.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 19:18:51 Heat of formation + Delta-G solvation = -39.128119 kcal Electronic energy + Delta-G solvation = -31535.136901 eV Core-core repulsion = 27600.933972 eV Total energy + Delta-G solvation = -3934.202930 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.15 seconds Orbital eigenvalues (eV) -40.56646 -38.91983 -37.08847 -35.99309 -35.10229 -34.68692 -31.72120 -31.37876 -30.13458 -29.85740 -27.22288 -25.69099 -24.54152 -23.96121 -22.78177 -22.63999 -21.84216 -21.15238 -20.72709 -19.65602 -18.37631 -16.86775 -16.67351 -16.05323 -15.66634 -15.40367 -15.34058 -15.02867 -14.78830 -14.44959 -14.15229 -13.95274 -13.83964 -13.39372 -13.21830 -13.14738 -13.03666 -12.83514 -12.63057 -12.54017 -12.13001 -11.85976 -11.72491 -11.63229 -11.45363 -11.32593 -11.17543 -11.00911 -10.96394 -10.84058 -10.70378 -10.59718 -10.39748 -10.26200 -10.23704 -10.05022 -9.95057 -9.62295 -9.38627 -8.98910 -8.53185 -8.32721 -6.76354 -5.83514 -3.27143 2.80161 3.08948 3.37024 3.42267 3.43138 3.54539 4.23834 4.34944 4.42983 4.51934 4.63623 4.77246 4.88956 4.94931 4.96319 5.08653 5.18403 5.29617 5.31338 5.38504 5.40816 5.45307 5.46769 5.55723 5.60021 5.64731 5.71637 5.72372 5.74862 5.76570 5.83528 5.86305 5.92635 5.95086 5.98571 6.03954 6.10804 6.14893 6.17417 6.25766 6.28528 6.33451 6.47181 6.64814 6.72988 6.87616 7.14333 7.51585 7.64724 7.70509 7.89373 8.31342 8.42314 9.09885 9.73617 10.30087 11.24414 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011112 B = 0.003917 C = 0.003214 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2519.265133 B = 7146.777890 C = 8709.513827 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.122 4.122 3 C -0.120 4.120 4 C -0.072 4.072 5 C -0.152 4.152 6 C 0.550 3.450 7 O -0.533 6.533 8 N -0.605 5.605 9 C 0.109 3.891 10 C -0.124 4.124 11 C 0.078 3.922 12 H 0.052 0.948 13 O -0.390 6.390 14 C 0.039 3.961 15 C 0.141 3.859 16 N -0.588 5.588 17 C -0.257 4.257 18 H 0.073 0.927 19 C 0.005 3.995 20 N -0.903 5.903 21 Si 0.904 3.096 22 H -0.281 1.281 23 H -0.289 1.289 24 H -0.283 1.283 25 C 0.138 3.862 26 H 0.035 0.965 27 C 0.123 3.877 28 C -0.145 4.145 29 C -0.168 4.168 30 H 0.051 0.949 31 H 0.053 0.947 32 H 0.055 0.945 33 H 0.060 0.940 34 H 0.058 0.942 35 H 0.065 0.935 36 H 0.066 0.934 37 H 0.070 0.930 38 H 0.071 0.929 39 H 0.066 0.934 40 H 0.094 0.906 41 H 0.078 0.922 42 H 0.071 0.929 43 H 0.040 0.960 44 H 0.081 0.919 45 H 0.100 0.900 46 H 0.027 0.973 47 H 0.256 0.744 48 H 0.101 0.899 49 H 0.072 0.928 50 H 0.100 0.900 51 H 0.101 0.899 52 H 0.103 0.897 53 H 0.100 0.900 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.768 -15.494 12.422 20.680 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 -0.211 4.211 2 C -0.160 4.160 3 C -0.157 4.157 4 C -0.109 4.109 5 C -0.155 4.155 6 C 0.337 3.663 7 O -0.409 6.409 8 N -0.339 5.339 9 C -0.015 4.015 10 C -0.162 4.162 11 C 0.018 3.982 12 H 0.070 0.930 13 O -0.309 6.309 14 C -0.038 4.038 15 C 0.015 3.985 16 N -0.312 5.312 17 C -0.386 4.386 18 H 0.090 0.910 19 C -0.194 4.194 20 N -0.547 5.547 21 Si 0.733 3.267 22 H -0.207 1.207 23 H -0.215 1.215 24 H -0.210 1.210 25 C 0.030 3.970 26 H 0.053 0.947 27 C 0.001 3.999 28 C -0.182 4.182 29 C -0.205 4.205 30 H 0.070 0.930 31 H 0.073 0.927 32 H 0.074 0.926 33 H 0.079 0.921 34 H 0.077 0.923 35 H 0.083 0.917 36 H 0.085 0.915 37 H 0.088 0.912 38 H 0.090 0.910 39 H 0.085 0.915 40 H 0.112 0.888 41 H 0.097 0.903 42 H 0.090 0.910 43 H 0.059 0.941 44 H 0.099 0.901 45 H 0.118 0.882 46 H 0.045 0.955 47 H 0.066 0.934 48 H 0.119 0.881 49 H 0.090 0.910 50 H 0.118 0.882 51 H 0.119 0.881 52 H 0.122 0.878 53 H 0.119 0.881 Dipole moment (debyes) X Y Z Total from point charges 5.364 -14.887 12.460 20.141 hybrid contribution -1.009 0.097 -0.720 1.244 sum 4.355 -14.791 11.740 19.379 Atomic orbital electron populations 1.21771 0.95893 1.01290 1.02130 1.21518 0.96003 0.96807 1.01655 1.21588 0.94555 0.96559 1.03035 1.21070 0.96177 0.91252 1.02425 1.21460 1.00311 0.97450 0.96293 1.19459 0.82567 0.81860 0.82457 1.90713 1.29426 1.37989 1.82728 1.48211 1.29969 1.46986 1.08711 1.21799 0.85325 0.92928 1.01408 1.21843 0.97901 0.99949 0.96554 1.22424 0.89863 0.93718 0.92220 0.93045 1.87735 1.36740 1.71781 1.34682 1.23334 0.98387 0.97325 0.84797 1.21491 0.87678 0.91806 0.97496 1.44052 1.03580 1.64586 1.19022 1.19121 0.84337 1.06507 1.28625 0.90973 1.25012 0.97941 0.94578 1.01835 1.70007 1.38583 1.05697 1.40406 0.86342 0.83897 0.77020 0.79412 1.20701 1.21522 1.20967 1.21267 0.92416 0.93437 0.89855 0.94702 1.21773 0.96739 0.95363 0.86003 1.23001 1.00768 1.01518 0.92909 1.23177 0.90057 1.03871 1.03444 0.92977 0.92739 0.92597 0.92120 0.92282 0.91654 0.91547 0.91176 0.91017 0.91535 0.88776 0.90307 0.90988 0.94141 0.90090 0.88249 0.95535 0.93439 0.88089 0.90999 0.88158 0.88052 0.87825 0.88136 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -1.38 9.91 37.16 0.37 -1.01 16 2 C -0.12 -1.08 5.93 -26.73 -0.16 -1.23 16 3 C -0.12 -1.28 5.05 -26.73 -0.13 -1.41 16 4 C -0.07 -0.67 5.12 -26.73 -0.14 -0.81 16 5 C -0.15 -1.74 0.89 -155.66 -0.14 -1.88 16 6 C 0.55 8.88 5.92 -10.98 -0.06 8.81 16 7 O -0.53 -10.94 16.41 5.56 0.09 -10.85 16 8 N -0.61 -9.60 2.98 -172.67 -0.52 -10.11 16 9 C 0.11 1.32 6.14 -3.65 -0.02 1.29 16 10 C -0.12 -1.70 5.82 -26.65 -0.15 -1.85 16 11 C 0.08 1.41 2.48 -26.63 -0.07 1.34 16 12 H 0.05 0.95 8.13 -51.93 -0.42 0.53 16 13 O -0.39 -7.70 10.49 -35.23 -0.37 -8.07 16 14 C 0.04 0.78 6.95 37.26 0.26 1.04 16 15 C 0.14 3.38 5.45 -3.48 -0.02 3.36 16 16 N -0.59 -14.71 3.05 -164.36 -0.50 -15.21 16 17 C -0.26 -6.91 8.93 -15.06 -0.13 -7.05 16 18 H 0.07 1.89 6.22 -52.49 -0.33 1.56 16 19 C 0.01 0.14 4.99 -17.43 -0.09 0.05 16 20 N -0.90 -25.98 11.02 55.49 0.61 -25.37 16 21 Si 0.90 21.67 29.58 -169.99 -5.03 16.64 16 22 H -0.28 -6.75 7.11 56.52 0.40 -6.35 16 23 H -0.29 -6.99 7.11 56.52 0.40 -6.58 16 24 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 25 C 0.14 2.96 3.02 -67.52 -0.20 2.76 16 26 H 0.04 0.84 8.14 -51.93 -0.42 0.41 16 27 C 0.12 2.43 4.48 -3.71 -0.02 2.41 16 28 C -0.14 -1.50 9.87 -26.73 -0.26 -1.76 16 29 C -0.17 -1.54 7.81 -26.73 -0.21 -1.75 16 30 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 31 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.05 0.55 8.14 -51.93 -0.42 0.12 16 33 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 34 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 35 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 36 H 0.07 0.90 7.45 -51.93 -0.39 0.51 16 37 H 0.07 0.63 8.10 -51.93 -0.42 0.21 16 38 H 0.07 0.53 8.11 -51.93 -0.42 0.11 16 39 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 40 H 0.09 0.90 4.71 -51.93 -0.24 0.66 16 41 H 0.08 0.92 8.14 -51.93 -0.42 0.49 16 42 H 0.07 1.03 8.14 -51.93 -0.42 0.60 16 43 H 0.04 0.78 8.14 -51.93 -0.42 0.36 16 44 H 0.08 1.40 8.14 -51.93 -0.42 0.98 16 45 H 0.10 2.59 6.06 -51.93 -0.31 2.28 16 46 H 0.03 0.69 8.14 -51.93 -0.42 0.26 16 47 H 0.26 7.14 8.31 -40.82 -0.34 6.80 16 48 H 0.10 2.33 6.77 -51.93 -0.35 1.98 16 49 H 0.07 1.42 7.39 -51.93 -0.38 1.04 16 50 H 0.10 1.21 8.14 -51.93 -0.42 0.79 16 51 H 0.10 0.84 8.14 -51.93 -0.42 0.42 16 52 H 0.10 0.70 8.14 -51.93 -0.42 0.28 16 53 H 0.10 1.01 8.11 -51.93 -0.42 0.59 16 LS Contribution 403.27 15.07 6.08 6.08 Total: -1.00 -31.60 403.27 -10.41 -42.01 By element: Atomic # 1 Polarization: 12.15 SS G_CDS: -9.59 Total: 2.56 kcal Atomic # 6 Polarization: 3.51 SS G_CDS: -1.18 Total: 2.32 kcal Atomic # 7 Polarization: -50.29 SS G_CDS: -0.40 Total: -50.69 kcal Atomic # 8 Polarization: -18.64 SS G_CDS: -0.28 Total: -18.91 kcal Atomic # 14 Polarization: 21.67 SS G_CDS: -5.03 Total: 16.64 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -31.60 -10.41 -42.01 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. ZINC001177096005.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 2.880 kcal (2) G-P(sol) polarization free energy of solvation -31.598 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -28.718 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.410 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.008 kcal (6) G-S(sol) free energy of system = (1) + (5) -39.128 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds