Wall clock time and date at job start Wed Apr 1 2020 00:05:29 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 O 1.42900 * 1 3 3 C 1.42894 * 114.00323 * 2 1 4 4 C 1.52997 * 109.47424 * 179.97438 * 3 2 1 5 5 C 1.53012 * 109.46022 * 300.00191 * 4 3 2 6 6 N 1.46495 * 109.46823 * 60.02576 * 5 4 3 7 7 C 1.34773 * 119.99979 * 180.02562 * 6 5 4 8 8 O 1.21288 * 120.00017 * 359.97438 * 7 6 5 9 9 C 1.50701 * 120.00217 * 180.27174 * 7 6 5 10 10 H 1.09007 * 110.33104 * 56.97922 * 9 7 6 11 11 O 1.44430 * 110.37364 * 179.34169 * 9 7 6 12 12 C 1.44423 * 105.27336 * 159.34377 * 11 9 7 13 13 C 1.54469 * 104.80687 * 319.48977 * 12 11 9 14 14 C 1.54478 * 110.37492 * 294.72585 * 9 7 6 15 15 H 1.09001 * 110.50817 * 98.40820 * 14 9 7 16 16 C 1.52998 * 110.51031 * 335.83244 * 14 9 7 17 17 C 1.53042 * 109.44792 * 59.96412 * 4 3 2 18 18 C 1.53197 * 109.31285 * 181.37847 * 17 4 3 19 19 N 1.46926 * 108.77704 * 305.37016 * 18 17 4 20 20 C 1.36938 * 120.62831 * 233.62804 * 19 18 17 21 21 H 1.07997 * 119.99629 * 27.66578 * 20 19 18 22 22 C 1.38812 * 119.99853 * 207.66338 * 20 19 18 23 23 N 1.31619 * 119.99913 * 17.36687 * 22 20 19 24 24 Si 1.86799 * 119.99962 * 197.36051 * 22 20 19 25 25 H 1.48500 * 109.47063 * 60.00161 * 24 22 20 26 26 H 1.48501 * 109.47204 * 180.02562 * 24 22 20 27 27 H 1.48502 * 109.47339 * 300.00298 * 24 22 20 28 28 C 1.46922 * 118.74081 * 53.60637 * 19 18 17 29 29 C 1.53035 * 109.46516 * 180.02562 * 4 3 2 30 30 H 1.09008 * 109.46501 * 59.99936 * 1 2 3 31 31 H 1.08999 * 109.47586 * 179.97438 * 1 2 3 32 32 H 1.08994 * 109.46958 * 300.00543 * 1 2 3 33 33 H 1.09004 * 109.47184 * 60.00141 * 3 2 1 34 34 H 1.08997 * 109.47444 * 299.99965 * 3 2 1 35 35 H 1.08999 * 109.46718 * 300.02865 * 5 4 3 36 36 H 1.08998 * 109.47130 * 180.02562 * 5 4 3 37 37 H 0.96999 * 120.00316 * 359.97438 * 6 5 4 38 38 H 1.09007 * 110.36813 * 200.65992 * 12 11 9 39 39 H 1.09002 * 110.36959 * 78.32656 * 12 11 9 40 40 H 1.09004 * 110.51603 * 265.33328 * 13 12 11 41 41 H 1.09003 * 110.63247 * 142.67935 * 13 12 11 42 42 H 1.09004 * 109.47045 * 60.00264 * 16 14 9 43 43 H 1.09002 * 109.47300 * 179.97438 * 16 14 9 44 44 H 1.08996 * 109.47564 * 300.00191 * 16 14 9 45 45 H 1.08998 * 109.49876 * 301.33433 * 17 4 3 46 46 H 1.09000 * 109.49674 * 61.43595 * 17 4 3 47 47 H 1.08998 * 109.58577 * 185.57859 * 18 17 4 48 48 H 1.09010 * 109.58622 * 65.15729 * 18 17 4 49 49 H 0.97002 * 119.99822 * 179.97438 * 23 22 20 50 50 H 1.08999 * 109.58951 * 186.60294 * 28 19 18 51 51 H 1.09003 * 109.58691 * 66.18089 * 28 19 18 52 52 H 1.09003 * 109.49957 * 298.58323 * 29 4 3 53 53 H 1.08999 * 109.49926 * 58.67448 * 29 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1846 0.0006 5 6 3.9862 0.4254 1.2504 6 7 3.3906 -0.9131 1.2499 7 6 3.6486 -1.7658 2.2611 8 8 4.3743 -1.4252 3.1714 9 6 3.0410 -3.1448 2.2576 10 1 3.3164 -3.6778 1.3474 11 8 3.4651 -3.8842 3.4235 12 6 2.4859 -4.9334 3.5857 13 6 1.1305 -4.2593 3.2781 14 6 1.5040 -3.0556 2.3843 15 1 1.0343 -3.1443 1.4047 16 6 1.0968 -1.7425 3.0557 17 6 3.9869 0.4240 -1.2483 18 6 5.5114 0.2748 -1.2273 19 7 6.1150 1.6063 -1.0804 20 6 7.0607 2.0454 -1.9682 21 1 7.0642 1.6725 -2.9817 22 6 8.0148 2.9696 -1.5652 23 7 8.2373 3.1694 -0.2835 24 14 8.9829 3.9297 -2.8421 25 1 8.0472 4.7221 -3.6799 26 1 9.9321 4.8447 -2.1587 27 1 9.7394 2.9853 -3.7029 28 6 5.6842 2.4579 0.0366 29 6 4.1578 2.5827 0.0013 30 1 -0.3632 0.5139 -0.8901 31 1 -0.3634 -1.0276 -0.0005 32 1 -0.3633 0.5139 0.8899 33 1 1.6887 1.8463 0.8900 34 1 1.6887 1.8463 -0.8899 35 1 3.6636 0.9663 2.1400 36 1 5.0728 0.3396 1.2512 37 1 2.8100 -1.1853 0.5221 38 1 2.4991 -5.3098 4.6086 39 1 2.6763 -5.7423 2.8802 40 1 0.6556 -3.9189 4.1984 41 1 0.4739 -4.9443 2.7415 42 1 1.4519 -0.9032 2.4577 43 1 0.0107 -1.6971 3.1361 44 1 1.5375 -1.6915 4.0513 45 1 3.5248 -0.5631 -1.2601 46 1 3.6879 0.9769 -2.1389 47 1 5.8472 -0.1778 -2.1603 48 1 5.8055 -0.3544 -0.3870 49 1 8.9043 3.8150 -0.0019 50 1 6.1340 3.4458 -0.0624 51 1 5.9923 2.0069 0.9799 52 1 3.8570 3.1152 -0.9010 53 1 3.8173 3.1321 0.8790 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 ZINC001162493281.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:05:29 Heat of formation + Delta-G solvation = -101.240951 kcal Electronic energy + Delta-G solvation = -32888.495549 eV Core-core repulsion = 28761.143153 eV Total energy + Delta-G solvation = -4127.352396 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.32 seconds Orbital eigenvalues (eV) -40.59992 -39.48334 -37.91232 -37.11208 -34.54993 -33.78102 -32.73234 -31.08682 -30.22140 -29.76864 -27.69100 -27.39317 -26.05908 -25.42835 -23.86808 -23.01478 -22.23486 -21.28514 -20.88030 -19.72653 -18.43076 -17.25274 -16.90420 -16.33420 -16.23706 -15.98907 -15.88919 -15.35015 -15.18626 -14.69752 -14.64056 -14.41613 -13.99153 -13.72889 -13.59719 -13.31271 -13.29159 -12.99030 -12.78115 -12.70690 -12.54590 -12.26668 -11.87985 -11.72206 -11.56101 -11.47360 -11.35959 -11.26894 -11.09045 -10.98477 -10.91536 -10.69493 -10.44489 -10.23446 -10.22119 -10.00328 -9.89702 -9.72750 -9.51215 -9.46985 -9.31783 -8.57600 -8.38747 -6.63130 -5.75704 -3.17594 2.90297 3.11474 3.40076 3.46196 3.46902 3.67070 4.04432 4.27855 4.51999 4.53365 4.66462 4.90783 4.93782 4.94589 5.02055 5.16417 5.20628 5.22333 5.27978 5.35054 5.37239 5.41931 5.46958 5.49689 5.51910 5.55230 5.58928 5.69016 5.69647 5.72721 5.74633 5.87887 6.06480 6.10484 6.17086 6.27531 6.35741 6.48146 6.55486 6.58763 6.60264 6.71968 6.81253 6.89499 7.01160 7.09842 7.35498 7.68017 7.81945 7.95980 8.47757 8.60645 9.24122 9.87761 10.44472 11.32735 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017056 B = 0.003224 C = 0.002912 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1641.253653 B = 8683.552782 C = 9613.853920 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.033 3.967 2 O -0.391 6.391 3 C 0.072 3.928 4 C -0.057 4.057 5 C 0.132 3.868 6 N -0.708 5.708 7 C 0.517 3.483 8 O -0.529 6.529 9 C 0.059 3.941 10 H 0.091 0.909 11 O -0.343 6.343 12 C 0.041 3.959 13 C -0.151 4.151 14 C -0.110 4.110 15 H 0.090 0.910 16 C -0.157 4.157 17 C -0.117 4.117 18 C 0.143 3.857 19 N -0.590 5.590 20 C -0.253 4.253 21 H 0.064 0.936 22 C 0.003 3.997 23 N -0.901 5.901 24 Si 0.901 3.099 25 H -0.285 1.285 26 H -0.291 1.291 27 H -0.283 1.283 28 C 0.170 3.830 29 C -0.128 4.128 30 H 0.039 0.961 31 H 0.081 0.919 32 H 0.038 0.962 33 H 0.047 0.953 34 H 0.051 0.949 35 H 0.057 0.943 36 H 0.085 0.915 37 H 0.408 0.592 38 H 0.093 0.907 39 H 0.061 0.939 40 H 0.078 0.922 41 H 0.078 0.922 42 H 0.077 0.923 43 H 0.056 0.944 44 H 0.059 0.941 45 H 0.055 0.945 46 H 0.059 0.941 47 H 0.052 0.948 48 H 0.021 0.979 49 H 0.254 0.746 50 H 0.090 0.910 51 H 0.024 0.976 52 H 0.062 0.938 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.740 -11.258 3.078 23.799 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 -0.063 4.063 2 O -0.310 6.310 3 C -0.005 4.005 4 C -0.057 4.057 5 C 0.009 3.991 6 N -0.367 5.367 7 C 0.301 3.699 8 O -0.405 6.405 9 C -0.002 4.002 10 H 0.108 0.892 11 O -0.261 6.261 12 C -0.036 4.036 13 C -0.189 4.189 14 C -0.129 4.129 15 H 0.108 0.892 16 C -0.214 4.214 17 C -0.156 4.156 18 C 0.016 3.984 19 N -0.313 5.313 20 C -0.383 4.383 21 H 0.082 0.918 22 C -0.196 4.196 23 N -0.545 5.545 24 Si 0.731 3.269 25 H -0.211 1.211 26 H -0.217 1.217 27 H -0.210 1.210 28 C 0.044 3.956 29 C -0.168 4.168 30 H 0.058 0.942 31 H 0.100 0.900 32 H 0.057 0.943 33 H 0.066 0.934 34 H 0.069 0.931 35 H 0.076 0.924 36 H 0.103 0.897 37 H 0.249 0.751 38 H 0.112 0.888 39 H 0.079 0.921 40 H 0.097 0.903 41 H 0.096 0.904 42 H 0.096 0.904 43 H 0.075 0.925 44 H 0.078 0.922 45 H 0.074 0.926 46 H 0.078 0.922 47 H 0.070 0.930 48 H 0.039 0.961 49 H 0.064 0.936 50 H 0.108 0.892 51 H 0.042 0.958 52 H 0.081 0.919 53 H 0.071 0.929 Dipole moment (debyes) X Y Z Total from point charges -19.765 -11.018 3.934 22.968 hybrid contribution -0.241 0.551 -1.089 1.244 sum -20.006 -10.467 2.845 22.757 Atomic orbital electron populations 1.22695 0.81500 1.02273 0.99854 1.87548 1.19197 1.28959 1.95317 1.22792 0.93894 0.83798 0.99994 1.20809 0.91376 0.97780 0.95780 1.21470 0.99547 0.81465 0.96599 1.46212 1.50590 1.14779 1.25084 1.19942 0.81309 0.85885 0.82752 1.90730 1.36660 1.77255 1.35808 1.22965 0.93895 0.92284 0.91097 0.89166 1.89296 1.47682 1.43505 1.45573 1.23465 0.87122 0.90797 1.02258 1.23057 0.98224 0.97018 1.00558 1.22423 0.93765 0.96433 1.00278 0.89175 1.22046 1.01028 0.96691 1.01623 1.21987 0.99067 0.98637 0.95927 1.20952 0.90161 0.88512 0.98738 1.44021 1.44837 1.11182 1.31282 1.19130 1.05564 1.22483 0.91137 0.91783 1.25029 0.96942 1.01941 0.95678 1.70024 1.34777 1.36461 1.13260 0.86388 0.79516 0.80011 0.80944 1.21125 1.21674 1.20953 1.20815 0.87236 0.97759 0.89810 1.22198 1.01013 0.92732 1.00813 0.94223 0.90026 0.94318 0.93444 0.93087 0.92445 0.89692 0.75117 0.88845 0.92115 0.90336 0.90353 0.90446 0.92483 0.92179 0.92608 0.92202 0.92973 0.96147 0.93558 0.89233 0.95835 0.91901 0.92858 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.03 0.26 11.01 101.05 1.11 1.37 16 2 O -0.39 -4.17 6.30 -35.23 -0.22 -4.39 16 3 C 0.07 0.87 4.80 37.16 0.18 1.05 16 4 C -0.06 -0.87 0.51 -154.46 -0.08 -0.95 16 5 C 0.13 2.22 3.80 -4.04 -0.02 2.20 16 6 N -0.71 -10.32 3.41 -60.29 -0.21 -10.52 16 7 C 0.52 8.43 5.52 -10.99 -0.06 8.36 16 8 O -0.53 -11.22 16.55 -13.67 -0.23 -11.45 16 9 C 0.06 0.75 3.63 -27.11 -0.10 0.65 16 10 H 0.09 0.99 8.14 -51.92 -0.42 0.57 16 11 O -0.34 -4.98 10.91 -54.45 -0.59 -5.58 16 12 C 0.04 0.38 7.63 37.93 0.29 0.67 16 13 C -0.15 -1.17 6.74 -25.17 -0.17 -1.33 16 14 C -0.11 -1.02 3.62 -89.05 -0.32 -1.34 16 15 H 0.09 0.66 8.14 -51.93 -0.42 0.24 16 16 C -0.16 -1.61 8.10 37.16 0.30 -1.31 16 17 C -0.12 -1.91 4.59 -26.61 -0.12 -2.03 16 18 C 0.14 2.95 6.05 -3.71 -0.02 2.92 16 19 N -0.59 -14.46 2.99 -172.31 -0.52 -14.98 16 20 C -0.25 -6.89 9.58 -15.06 -0.14 -7.04 16 21 H 0.06 1.71 7.89 -52.49 -0.41 1.30 16 22 C 0.00 0.08 4.91 -17.43 -0.09 -0.01 16 23 N -0.90 -26.17 11.19 55.49 0.62 -25.55 16 24 Si 0.90 21.66 29.59 -169.99 -5.03 16.63 16 25 H -0.28 -6.74 7.11 56.52 0.40 -6.34 16 26 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 27 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 28 C 0.17 3.91 4.84 -3.71 -0.02 3.90 16 29 C -0.13 -2.26 4.91 -26.61 -0.13 -2.39 16 30 H 0.04 0.29 8.14 -51.92 -0.42 -0.14 16 31 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 32 H 0.04 0.28 8.14 -51.93 -0.42 -0.14 16 33 H 0.05 0.55 8.14 -51.93 -0.42 0.13 16 34 H 0.05 0.60 8.14 -51.93 -0.42 0.17 16 35 H 0.06 0.98 8.14 -51.93 -0.42 0.56 16 36 H 0.09 1.76 4.98 -51.93 -0.26 1.50 16 37 H 0.41 5.16 4.71 -40.82 -0.19 4.97 16 38 H 0.09 0.75 8.14 -51.93 -0.42 0.33 16 39 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 40 H 0.08 0.59 7.73 -51.93 -0.40 0.19 16 41 H 0.08 0.44 8.14 -51.93 -0.42 0.01 16 42 H 0.08 0.89 5.69 -51.93 -0.30 0.60 16 43 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 44 H 0.06 0.75 8.14 -51.93 -0.42 0.32 16 45 H 0.06 0.81 6.50 -51.93 -0.34 0.47 16 46 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 47 H 0.05 1.07 7.93 -51.93 -0.41 0.66 16 48 H 0.02 0.45 6.69 -51.92 -0.35 0.10 16 49 H 0.25 7.19 8.31 -40.82 -0.34 6.85 16 50 H 0.09 2.34 6.03 -51.93 -0.31 2.02 16 51 H 0.02 0.59 6.69 -51.93 -0.35 0.24 16 52 H 0.06 1.12 8.14 -51.93 -0.42 0.69 16 53 H 0.05 0.85 8.14 -51.93 -0.42 0.42 16 LS Contribution 395.94 15.07 5.97 5.97 Total: -1.00 -32.88 395.94 -8.81 -41.69 By element: Atomic # 1 Polarization: 12.67 SS G_CDS: -9.22 Total: 3.45 kcal Atomic # 6 Polarization: 4.11 SS G_CDS: 0.61 Total: 4.72 kcal Atomic # 7 Polarization: -50.95 SS G_CDS: -0.10 Total: -51.05 kcal Atomic # 8 Polarization: -20.37 SS G_CDS: -1.04 Total: -21.41 kcal Atomic # 14 Polarization: 21.66 SS G_CDS: -5.03 Total: 16.63 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -32.88 -8.81 -41.69 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. ZINC001162493281.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 -59.553 kcal (2) G-P(sol) polarization free energy of solvation -32.877 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -92.430 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.811 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.688 kcal (6) G-S(sol) free energy of system = (1) + (5) -101.241 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.32 seconds