Wall clock time and date at job start Sat Apr 11 2020 06:11:50 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 1.52998 * 1 3 3 C 1.52999 * 109.47306 * 2 1 4 4 C 1.53000 * 109.47205 * 239.99719 * 2 1 3 5 5 O 1.45206 * 109.46821 * 120.00008 * 2 1 3 6 6 C 1.34635 * 117.00152 * 59.99953 * 5 2 1 7 7 O 1.21507 * 119.99982 * 359.97438 * 6 5 2 8 8 N 1.34770 * 119.99734 * 180.02562 * 6 5 2 9 9 C 1.47484 * 125.66423 * 0.02562 * 8 6 5 10 10 C 1.55024 * 104.89396 * 203.99588 * 9 8 6 11 11 C 1.54523 * 101.53034 * 323.61001 * 10 9 8 12 12 C 1.47192 * 125.66142 * 179.97438 * 8 6 5 13 13 C 1.52339 * 110.12335 * 276.47643 * 11 10 9 14 14 N 1.47155 * 109.31788 * 292.42740 * 13 11 10 15 15 C 1.46896 * 110.99645 * 178.93582 * 14 13 11 16 16 C 1.53002 * 109.46899 * 169.99940 * 15 14 13 17 17 C 1.50703 * 109.47207 * 179.97438 * 16 15 14 18 18 H 1.07994 * 119.99603 * 359.97438 * 17 16 15 19 19 C 1.37875 * 119.99838 * 180.02562 * 17 16 15 20 20 N 1.31513 * 120.00380 * 359.97438 * 19 17 16 21 21 Si 1.86798 * 119.99848 * 180.02562 * 19 17 16 22 22 H 1.48506 * 109.47297 * 359.97438 * 21 19 17 23 23 H 1.48503 * 109.47261 * 239.99776 * 21 19 17 24 24 H 1.48500 * 109.47454 * 119.99769 * 21 19 17 25 25 C 1.47024 * 110.65321 * 302.63970 * 14 13 11 26 26 C 1.53100 * 109.40155 * 59.19075 * 25 14 13 27 27 O 1.42145 * 110.25247 * 153.49163 * 11 10 9 28 28 H 1.08997 * 109.47415 * 300.00487 * 1 2 3 29 29 H 1.09006 * 109.46928 * 60.00508 * 1 2 3 30 30 H 1.09003 * 109.47540 * 179.97438 * 1 2 3 31 31 H 1.09004 * 109.47045 * 179.97438 * 3 2 1 32 32 H 1.09006 * 109.46712 * 299.99624 * 3 2 1 33 33 H 1.08997 * 109.47281 * 59.99432 * 3 2 1 34 34 H 1.09004 * 109.46769 * 299.99975 * 4 2 1 35 35 H 1.08992 * 109.47483 * 59.99876 * 4 2 1 36 36 H 1.08999 * 109.47060 * 180.02562 * 4 2 1 37 37 H 1.08998 * 110.35575 * 322.84807 * 9 8 6 38 38 H 1.08991 * 110.35615 * 85.03528 * 9 8 6 39 39 H 1.08999 * 111.01043 * 205.55139 * 10 9 8 40 40 H 1.08999 * 111.01551 * 81.67635 * 10 9 8 41 41 H 1.09000 * 109.90628 * 59.16331 * 12 8 6 42 42 H 1.08996 * 110.06172 * 297.98770 * 12 8 6 43 43 H 1.08998 * 109.49442 * 172.47240 * 13 11 10 44 44 H 1.09002 * 109.52234 * 52.39569 * 13 11 10 45 45 H 1.08993 * 109.47625 * 49.99784 * 15 14 13 46 46 H 1.09006 * 109.47099 * 289.99263 * 15 14 13 47 47 H 1.09005 * 109.47493 * 59.99662 * 16 15 14 48 48 H 1.08998 * 109.47006 * 299.99626 * 16 15 14 49 49 H 0.97001 * 119.99667 * 0.02562 * 20 19 17 50 50 H 1.08996 * 109.48716 * 179.17344 * 25 14 13 51 51 H 1.09008 * 109.48422 * 299.21607 * 25 14 13 52 52 H 1.09001 * 109.51949 * 182.63536 * 26 25 14 53 53 H 1.08998 * 109.56496 * 62.49090 * 26 25 14 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 2.0400 -0.7213 -1.2492 5 8 2.0139 -0.6845 1.1856 6 6 1.6521 -1.9723 1.3384 7 8 0.9508 -2.5094 0.5041 8 7 2.0671 -2.6653 2.4172 9 6 2.9161 -2.1396 3.5026 10 6 3.5965 -3.3896 4.1173 11 6 2.4653 -4.4376 4.0171 12 6 1.7472 -4.0722 2.7085 13 6 1.5194 -4.3029 5.2035 14 7 2.2239 -4.6945 6.4347 15 6 1.3511 -4.5540 7.6079 16 6 2.0221 -5.1983 8.8227 17 6 1.1270 -5.0537 10.0265 18 1 0.1751 -4.5520 9.9343 19 6 1.5240 -5.5609 11.2455 20 7 2.6834 -6.1713 11.3578 21 14 0.4142 -5.3823 12.7375 22 1 -0.8253 -4.6624 12.3492 23 1 1.1227 -4.6136 13.7923 24 1 0.0631 -6.7283 13.2574 25 6 2.7397 -6.0667 6.3229 26 6 3.6993 -6.1540 5.1332 27 8 3.0130 -5.7473 3.9445 28 1 -0.3634 0.5139 0.8899 29 1 -0.3633 0.5138 -0.8901 30 1 -0.3634 -1.0277 -0.0005 31 1 3.1301 1.4424 0.0005 32 1 1.6767 1.9563 -0.8901 33 1 1.6767 1.9564 0.8899 34 1 1.6766 -1.7490 -1.2491 35 1 1.6767 -0.2076 -2.1392 36 1 3.1300 -0.7217 -1.2489 37 1 3.6664 -1.4586 3.1010 38 1 2.3057 -1.6323 4.2496 39 1 3.8740 -3.2123 5.1563 40 1 4.4629 -3.6921 3.5291 41 1 2.1041 -4.7092 1.8992 42 1 0.6708 -4.1937 2.8291 43 1 0.6562 -4.9520 5.0561 44 1 1.1864 -3.2684 5.2883 45 1 0.3992 -5.0482 7.4140 46 1 1.1775 -3.4965 7.8071 47 1 2.9741 -4.7040 9.0167 48 1 2.1957 -6.2557 8.6236 49 1 3.2595 -6.2643 10.5830 50 1 3.2697 -6.3316 7.2378 51 1 1.9090 -6.7561 6.1713 52 1 4.0466 -7.1810 5.0201 53 1 4.5527 -5.4977 5.3037 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 ZINC001177050558.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 06:11:50 Heat of formation + Delta-G solvation = -117.662401 kcal Electronic energy + Delta-G solvation = -31292.765769 eV Core-core repulsion = 27164.701285 eV Total energy + Delta-G solvation = -4128.064483 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.26 seconds Orbital eigenvalues (eV) -41.19395 -40.31953 -37.96904 -36.54562 -35.92355 -34.30707 -33.33464 -31.83286 -30.12506 -29.69360 -27.96160 -27.71427 -27.66715 -25.51325 -24.04551 -23.61419 -22.85745 -21.76791 -20.28589 -19.75856 -19.12273 -18.13112 -17.11491 -16.88041 -16.68956 -16.21061 -15.95144 -15.33295 -15.22951 -14.92834 -14.64065 -14.42982 -14.11713 -13.95553 -13.91332 -13.73070 -13.40813 -12.96481 -12.88124 -12.80331 -12.56793 -12.43929 -12.28290 -12.19998 -12.18244 -11.95904 -11.74550 -11.63668 -11.52536 -11.41755 -11.28891 -11.06241 -10.88219 -10.63013 -10.40439 -10.25104 -10.23958 -10.15432 -9.82629 -9.46317 -8.98168 -8.64926 -8.37376 -8.00751 -6.42175 -4.11487 1.78050 2.63903 3.40859 3.44508 3.50828 3.57777 3.65252 4.02830 4.34635 4.40816 4.45327 4.49968 4.56597 4.59563 4.66474 5.00232 5.00902 5.15365 5.18758 5.19889 5.22891 5.33805 5.35958 5.37620 5.38415 5.42112 5.47335 5.49726 5.54017 5.55452 5.59614 5.66835 5.72292 5.79786 5.93703 5.97724 5.99328 6.00110 6.07245 6.09393 6.20416 6.21778 6.23213 6.65976 7.09708 7.12606 7.22614 7.25929 7.43311 7.53760 8.11781 8.15821 8.40397 8.82589 9.60432 10.98902 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019075 B = 0.002216 C = 0.002080 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1467.560018 B =12633.300643 C =13456.353141 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.184 4.184 2 C 0.135 3.865 3 C -0.140 4.140 4 C -0.183 4.183 5 O -0.360 6.360 6 C 0.670 3.330 7 O -0.568 6.568 8 N -0.602 5.602 9 C 0.106 3.894 10 C -0.152 4.152 11 C 0.114 3.886 12 C 0.143 3.857 13 C 0.035 3.965 14 N -0.534 5.534 15 C 0.069 3.931 16 C 0.009 3.991 17 C -0.603 4.603 18 H 0.049 0.951 19 C 0.016 3.984 20 N -0.912 5.912 21 Si 1.074 2.926 22 H -0.290 1.290 23 H -0.286 1.286 24 H -0.287 1.287 25 C 0.013 3.987 26 C 0.066 3.934 27 O -0.371 6.371 28 H 0.060 0.940 29 H 0.070 0.930 30 H 0.087 0.913 31 H 0.066 0.934 32 H 0.080 0.920 33 H 0.067 0.933 34 H 0.087 0.913 35 H 0.070 0.930 36 H 0.059 0.941 37 H 0.083 0.917 38 H 0.076 0.924 39 H 0.107 0.893 40 H 0.082 0.918 41 H 0.085 0.915 42 H 0.081 0.919 43 H 0.042 0.958 44 H 0.084 0.916 45 H 0.024 0.976 46 H 0.067 0.933 47 H 0.016 0.984 48 H 0.011 0.989 49 H 0.269 0.731 50 H 0.100 0.900 51 H 0.039 0.961 52 H 0.099 0.901 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.349 10.911 -23.309 25.772 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 -0.241 4.241 2 C 0.099 3.901 3 C -0.197 4.197 4 C -0.240 4.240 5 O -0.275 6.275 6 C 0.426 3.574 7 O -0.457 6.457 8 N -0.344 5.344 9 C -0.017 4.017 10 C -0.190 4.190 11 C 0.073 3.927 12 C 0.021 3.979 13 C -0.093 4.093 14 N -0.259 5.259 15 C -0.057 4.057 16 C -0.028 4.028 17 C -0.642 4.642 18 H 0.067 0.933 19 C -0.188 4.188 20 N -0.548 5.548 21 Si 0.903 3.097 22 H -0.216 1.216 23 H -0.213 1.213 24 H -0.213 1.213 25 C -0.115 4.115 26 C -0.011 4.011 27 O -0.289 6.289 28 H 0.079 0.921 29 H 0.089 0.911 30 H 0.106 0.894 31 H 0.085 0.915 32 H 0.099 0.901 33 H 0.086 0.914 34 H 0.106 0.894 35 H 0.089 0.911 36 H 0.078 0.922 37 H 0.101 0.899 38 H 0.094 0.906 39 H 0.125 0.875 40 H 0.100 0.900 41 H 0.104 0.896 42 H 0.099 0.901 43 H 0.060 0.940 44 H 0.103 0.897 45 H 0.042 0.958 46 H 0.085 0.915 47 H 0.035 0.965 48 H 0.029 0.971 49 H 0.079 0.921 50 H 0.119 0.881 51 H 0.058 0.942 52 H 0.117 0.883 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges 1.350 10.715 -22.171 24.662 hybrid contribution -0.627 -0.018 -1.475 1.603 sum 0.723 10.698 -23.646 25.963 Atomic orbital electron populations 1.22520 0.93949 1.05115 1.02509 1.22089 0.94440 0.91520 0.82078 1.21858 1.02259 0.92462 1.03162 1.22517 1.01550 1.03526 0.96453 1.86311 1.71485 1.23314 1.46387 1.17369 0.78699 0.80442 0.80903 1.90903 1.41388 1.70548 1.42876 1.47032 1.53480 1.12336 1.21521 1.22400 0.93622 0.96895 0.88764 1.23318 0.97937 0.94087 1.03635 1.21735 0.93401 0.84121 0.93438 1.21501 0.99969 0.79865 0.96526 1.22554 0.94931 1.01889 0.89967 1.62452 1.37951 1.23108 1.02435 1.22216 0.93346 1.00873 0.89284 1.19358 0.96604 0.94993 0.91875 1.22034 1.05558 1.41329 0.95272 0.93291 1.25835 0.98301 0.93556 1.01097 1.70733 1.09953 1.40115 1.34032 0.83472 0.74746 0.76484 0.75041 1.21552 1.21272 1.21335 1.22859 0.98748 0.90101 0.99821 1.22796 0.94297 1.00457 0.83511 1.87792 1.72843 1.30332 1.37939 0.92098 0.91142 0.89374 0.91459 0.90123 0.91393 0.89384 0.91138 0.92184 0.89906 0.90600 0.87475 0.89980 0.89640 0.90105 0.93995 0.89737 0.95778 0.91497 0.96540 0.97098 0.92057 0.88146 0.94235 0.88342 0.92017 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.18 -1.67 8.37 37.16 0.31 -1.36 16 2 C 0.14 1.25 1.13 -90.62 -0.10 1.15 16 3 C -0.14 -0.92 8.85 37.16 0.33 -0.59 16 4 C -0.18 -1.63 8.37 37.16 0.31 -1.32 16 5 O -0.36 -4.17 9.42 -40.31 -0.38 -4.55 16 6 C 0.67 8.77 7.93 54.05 0.43 9.20 16 7 O -0.57 -8.43 12.21 -19.28 -0.24 -8.66 16 8 N -0.60 -7.25 3.33 -176.46 -0.59 -7.84 16 9 C 0.11 1.09 6.59 -2.43 -0.02 1.08 16 10 C -0.15 -1.67 5.11 -24.86 -0.13 -1.80 16 11 C 0.11 1.43 0.92 -89.81 -0.08 1.35 16 12 C 0.14 1.75 6.23 -3.32 -0.02 1.73 16 13 C 0.04 0.50 4.15 -4.02 -0.02 0.48 16 14 N -0.53 -8.91 4.33 -234.66 -1.02 -9.92 16 15 C 0.07 1.40 5.22 -3.82 -0.02 1.38 16 16 C 0.01 0.22 3.56 -27.88 -0.10 0.12 16 17 C -0.60 -16.82 9.11 -34.44 -0.31 -17.13 16 18 H 0.05 1.36 7.74 -52.49 -0.41 0.95 16 19 C 0.02 0.46 5.46 -17.82 -0.10 0.36 16 20 N -0.91 -27.39 13.65 55.43 0.76 -26.64 16 21 Si 1.07 25.09 29.90 -169.99 -5.08 20.01 16 22 H -0.29 -6.44 7.11 56.52 0.40 -6.03 16 23 H -0.29 -6.55 7.11 56.52 0.40 -6.15 16 24 H -0.29 -6.57 7.11 56.52 0.40 -6.17 16 25 C 0.01 0.21 4.94 -3.70 -0.02 0.19 16 26 C 0.07 0.86 6.78 37.21 0.25 1.11 16 27 O -0.37 -5.07 10.28 -35.23 -0.36 -5.43 16 28 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 29 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 30 H 0.09 1.02 5.88 -51.93 -0.31 0.71 16 31 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 33 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 34 H 0.09 1.00 5.88 -51.93 -0.31 0.69 16 35 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 36 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 37 H 0.08 0.77 8.04 -51.93 -0.42 0.35 16 38 H 0.08 0.77 7.68 -51.93 -0.40 0.37 16 39 H 0.11 1.27 7.56 -51.93 -0.39 0.88 16 40 H 0.08 0.87 8.14 -51.93 -0.42 0.45 16 41 H 0.09 1.07 8.05 -51.93 -0.42 0.66 16 42 H 0.08 0.98 7.82 -51.93 -0.41 0.58 16 43 H 0.04 0.62 8.13 -51.93 -0.42 0.20 16 44 H 0.08 1.14 7.37 -51.93 -0.38 0.76 16 45 H 0.02 0.50 8.08 -51.93 -0.42 0.08 16 46 H 0.07 1.35 8.14 -51.93 -0.42 0.93 16 47 H 0.02 0.43 8.01 -51.93 -0.42 0.01 16 48 H 0.01 0.28 6.13 -51.93 -0.32 -0.04 16 49 H 0.27 7.99 7.22 -40.82 -0.29 7.70 16 50 H 0.10 1.76 6.01 -51.93 -0.31 1.45 16 51 H 0.04 0.66 8.14 -51.92 -0.42 0.24 16 52 H 0.10 1.10 8.14 -51.93 -0.42 0.67 16 53 H 0.06 0.76 7.43 -51.93 -0.39 0.38 16 LS Contribution 403.77 15.07 6.08 6.08 Total: -1.00 -31.49 403.77 -9.55 -41.04 By element: Atomic # 1 Polarization: 9.42 SS G_CDS: -9.45 Total: -0.03 kcal Atomic # 6 Polarization: -4.78 SS G_CDS: 0.72 Total: -4.06 kcal Atomic # 7 Polarization: -43.56 SS G_CDS: -0.85 Total: -44.40 kcal Atomic # 8 Polarization: -17.66 SS G_CDS: -0.98 Total: -18.64 kcal Atomic # 14 Polarization: 25.09 SS G_CDS: -5.08 Total: 20.01 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -31.49 -9.55 -41.04 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. ZINC001177050558.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 -76.622 kcal (2) G-P(sol) polarization free energy of solvation -31.487 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -108.108 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.554 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.041 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.662 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.26 seconds