Wall clock time and date at job start Tue Mar 31 2020 19:35:57 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 1.30992 * 1 3 3 C 1.50700 * 120.00567 * 2 1 4 4 C 1.50710 * 119.99784 * 180.02562 * 2 1 3 5 5 H 1.09000 * 109.48915 * 122.05851 * 4 2 1 6 6 O 1.42907 * 109.47769 * 2.02929 * 4 2 1 7 7 C 1.42898 * 114.09277 * 178.85810 * 6 4 2 8 8 C 1.53092 * 109.41847 * 61.15875 * 7 6 4 9 9 C 1.53314 * 109.19275 * 302.38795 * 8 7 6 10 10 C 1.53089 * 109.48172 * 242.08477 * 4 2 1 11 11 H 1.09001 * 109.52270 * 297.56361 * 10 4 2 12 12 C 1.50703 * 109.51769 * 57.68525 * 10 4 2 13 13 O 1.21278 * 120.00499 * 34.51997 * 12 10 4 14 14 N 1.34779 * 119.99645 * 214.51225 * 12 10 4 15 15 C 1.46500 * 120.00049 * 179.73154 * 14 12 10 16 16 C 1.53000 * 109.47505 * 180.27429 * 15 14 12 17 17 H 1.09007 * 109.49446 * 54.99969 * 16 15 14 18 18 C 1.53033 * 109.49856 * 175.05841 * 16 15 14 19 19 C 1.53041 * 109.54071 * 181.28587 * 18 16 15 20 20 C 1.53198 * 109.33684 * 298.68790 * 19 18 16 21 21 N 1.46926 * 108.77556 * 54.61543 * 20 19 18 22 22 C 1.36932 * 120.62922 * 126.37224 * 21 20 19 23 23 H 1.08009 * 119.99831 * 326.59071 * 22 21 20 24 24 C 1.38812 * 120.00174 * 146.59348 * 22 21 20 25 25 N 1.31616 * 120.00122 * 342.24802 * 24 22 21 26 26 Si 1.86804 * 119.99814 * 162.24727 * 24 22 21 27 27 H 1.48505 * 109.47059 * 90.00194 * 26 24 22 28 28 H 1.48498 * 109.46948 * 209.99766 * 26 24 22 29 29 H 1.48496 * 109.47410 * 330.00245 * 26 24 22 30 30 C 1.46920 * 118.73814 * 306.39198 * 21 20 19 31 31 H 1.08002 * 120.00577 * 179.97438 * 1 2 3 32 32 H 1.07998 * 119.99758 * 359.97438 * 1 2 3 33 33 H 1.08996 * 109.47484 * 275.39699 * 3 2 1 34 34 H 1.09005 * 109.46722 * 35.39367 * 3 2 1 35 35 H 1.08996 * 109.47322 * 155.39033 * 3 2 1 36 36 H 1.09000 * 109.48315 * 181.14163 * 7 6 4 37 37 H 1.08998 * 109.48216 * 301.17238 * 7 6 4 38 38 H 1.09004 * 109.52084 * 62.29044 * 8 7 6 39 39 H 1.09001 * 109.52473 * 182.42270 * 8 7 6 40 40 H 1.08995 * 109.53256 * 297.12160 * 9 8 7 41 41 H 1.08997 * 109.62486 * 176.81054 * 9 8 7 42 42 H 0.97003 * 120.00290 * 0.02562 * 14 12 10 43 43 H 1.09002 * 109.46770 * 300.27629 * 15 14 12 44 44 H 1.09004 * 109.47556 * 60.26931 * 15 14 12 45 45 H 1.08996 * 109.46578 * 301.34013 * 18 16 15 46 46 H 1.08999 * 109.46037 * 61.29795 * 18 16 15 47 47 H 1.08994 * 109.50056 * 178.72343 * 19 18 16 48 48 H 1.08997 * 109.49964 * 58.65130 * 19 18 16 49 49 H 1.09001 * 109.58619 * 294.82826 * 20 19 18 50 50 H 1.09004 * 109.70305 * 174.47566 * 20 19 18 51 51 H 0.96995 * 120.00150 * 180.02562 * 25 24 22 52 52 H 1.08999 * 109.59203 * 293.81963 * 30 21 20 53 53 H 1.09007 * 109.58727 * 173.39804 * 30 21 20 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 1.3099 0.0000 0.0000 3 6 2.0636 1.3050 0.0000 4 6 2.0634 -1.3052 -0.0006 5 1 2.7176 -1.3471 -0.8715 6 8 1.1356 -2.3910 -0.0488 7 6 1.7488 -3.6814 -0.0794 8 6 2.5766 -3.8819 1.1927 9 6 3.6205 -2.7638 1.2962 10 6 2.9038 -1.4101 1.2747 11 1 3.6410 -0.6074 1.2922 12 6 2.0064 -1.2961 2.4799 13 8 0.8841 -1.7546 2.4460 14 7 2.4510 -0.6847 3.5957 15 6 1.5766 -0.5686 4.7654 16 6 2.3164 0.1674 5.8843 17 1 2.6750 1.1275 5.5130 18 6 1.3647 0.3979 7.0604 19 6 2.0946 1.1623 8.1672 20 6 3.2818 0.3295 8.6609 21 7 4.1263 -0.0187 7.5101 22 6 5.4659 0.2649 7.5167 23 1 5.8285 1.1478 8.0222 24 6 6.3579 -0.5823 6.8736 25 7 5.9946 -1.8092 6.5654 26 14 8.0740 0.0190 6.4456 27 1 8.9958 -0.2718 7.5730 28 1 8.5517 -0.6765 5.2237 29 1 8.0386 1.4831 6.2001 30 6 3.5060 -0.6766 6.3521 31 1 -0.5401 -0.9353 -0.0004 32 1 -0.5400 0.9353 0.0004 33 1 2.1616 1.6680 -1.0230 34 1 1.5197 2.0386 0.5953 35 1 3.0543 1.1525 0.4279 36 1 0.9773 -4.4493 -0.1358 37 1 2.3988 -3.7544 -0.9513 38 1 1.9209 -3.8493 2.0629 39 1 3.0796 -4.8480 1.1515 40 1 4.3067 -2.8266 0.4517 41 1 4.1765 -2.8671 2.2280 42 1 3.3486 -0.3177 3.6229 43 1 0.6799 -0.0112 4.4947 44 1 1.2955 -1.5641 5.1093 45 1 0.5053 0.9777 6.7240 46 1 1.0253 -0.5632 7.4466 47 1 1.4098 1.3459 8.9950 48 1 2.4553 2.1134 7.7756 49 1 2.9170 -0.5815 9.1354 50 1 3.8631 0.9079 9.3791 51 1 6.6180 -2.4013 6.1164 52 1 3.1595 -1.6696 6.6382 53 1 4.2346 -0.7600 5.5456 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 ZINC000600818054.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 19:35:57 Heat of formation + Delta-G solvation = -61.055217 kcal Electronic energy + Delta-G solvation = -31407.562986 eV Core-core repulsion = 27472.409226 eV Total energy + Delta-G solvation = -3935.153760 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.42 seconds Orbital eigenvalues (eV) -40.59152 -38.45616 -37.45267 -35.29508 -34.47750 -33.71611 -32.99610 -31.01678 -30.32789 -29.80385 -27.29349 -25.79325 -25.27012 -25.16409 -23.71180 -22.20963 -21.53981 -20.68717 -19.65272 -18.96564 -18.55181 -16.90279 -16.63099 -16.49240 -15.66609 -15.54297 -15.30618 -14.85356 -14.68808 -14.24081 -14.01281 -13.74591 -13.62856 -13.52613 -13.28821 -13.14893 -12.93974 -12.84828 -12.68103 -12.38694 -12.26861 -12.11715 -11.92737 -11.74058 -11.37172 -11.21342 -11.17798 -11.07172 -10.75927 -10.64841 -10.53482 -10.44306 -10.27190 -10.18897 -9.96200 -9.67647 -9.60827 -9.43112 -9.22247 -8.86248 -8.58721 -8.51210 -6.63442 -5.85100 -3.31463 2.29836 3.03608 3.30654 3.38664 3.41047 3.49062 3.77162 4.43716 4.55554 4.76055 4.77083 4.95556 5.00779 5.07036 5.17363 5.18038 5.30149 5.30623 5.38960 5.42072 5.52596 5.54189 5.59236 5.59404 5.61913 5.64181 5.75413 5.81536 5.85984 5.90949 5.99680 6.02189 6.12795 6.17702 6.27694 6.30105 6.30733 6.43055 6.49818 6.65136 6.69770 6.79088 6.84408 6.85111 6.88935 7.01633 7.23587 7.35403 7.51286 7.76436 7.92604 8.42591 8.65227 9.16274 9.78621 10.40296 11.22591 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011532 B = 0.003696 C = 0.003255 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2427.513960 B = 7573.057696 C = 8600.069282 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.147 4.147 3 C -0.114 4.114 4 C 0.150 3.850 5 H 0.067 0.933 6 O -0.354 6.354 7 C 0.067 3.933 8 C -0.160 4.160 9 C -0.111 4.111 10 C -0.136 4.136 11 H 0.095 0.905 12 C 0.521 3.479 13 O -0.523 6.523 14 N -0.724 5.724 15 C 0.134 3.866 16 C -0.126 4.126 17 H 0.068 0.932 18 C -0.100 4.100 19 C -0.133 4.133 20 C 0.143 3.857 21 N -0.591 5.591 22 C -0.258 4.258 23 H 0.062 0.938 24 C 0.010 3.990 25 N -0.896 5.896 26 Si 0.896 3.104 27 H -0.286 1.286 28 H -0.289 1.289 29 H -0.279 1.279 30 C 0.185 3.815 31 H 0.112 0.888 32 H 0.091 0.909 33 H 0.065 0.935 34 H 0.065 0.935 35 H 0.062 0.938 36 H 0.091 0.909 37 H 0.044 0.956 38 H 0.082 0.918 39 H 0.072 0.928 40 H 0.072 0.928 41 H 0.079 0.921 42 H 0.401 0.599 43 H 0.056 0.944 44 H 0.061 0.939 45 H 0.047 0.953 46 H 0.056 0.944 47 H 0.050 0.950 48 H 0.056 0.944 49 H 0.016 0.984 50 H 0.052 0.948 51 H 0.253 0.747 52 H 0.019 0.981 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.590 1.538 -13.181 15.288 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 -0.186 4.186 2 C -0.147 4.147 3 C -0.170 4.170 4 C 0.092 3.908 5 H 0.085 0.915 6 O -0.272 6.272 7 C -0.010 4.010 8 C -0.197 4.197 9 C -0.149 4.149 10 C -0.158 4.158 11 H 0.113 0.887 12 C 0.307 3.693 13 O -0.398 6.398 14 N -0.376 5.376 15 C 0.010 3.990 16 C -0.147 4.147 17 H 0.087 0.913 18 C -0.138 4.138 19 C -0.172 4.172 20 C 0.017 3.983 21 N -0.313 5.313 22 C -0.388 4.388 23 H 0.079 0.921 24 C -0.190 4.190 25 N -0.539 5.539 26 Si 0.725 3.275 27 H -0.213 1.213 28 H -0.215 1.215 29 H -0.204 1.204 30 C 0.059 3.941 31 H 0.130 0.870 32 H 0.109 0.891 33 H 0.084 0.916 34 H 0.084 0.916 35 H 0.081 0.919 36 H 0.109 0.891 37 H 0.062 0.938 38 H 0.100 0.900 39 H 0.090 0.910 40 H 0.091 0.909 41 H 0.097 0.903 42 H 0.236 0.764 43 H 0.074 0.926 44 H 0.079 0.921 45 H 0.066 0.934 46 H 0.075 0.925 47 H 0.069 0.931 48 H 0.075 0.925 49 H 0.034 0.966 50 H 0.071 0.929 51 H 0.063 0.937 52 H 0.038 0.962 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -8.499 1.092 -13.258 15.786 hybrid contribution 1.796 0.321 -0.062 1.826 sum -6.703 1.413 -13.319 14.978 Atomic orbital electron populations 1.23669 0.95418 1.01941 0.97609 1.21398 0.95825 0.93549 1.03978 1.20780 1.00179 0.94155 1.01914 1.20500 0.89710 0.86288 0.94309 0.91500 1.87989 1.31794 1.13030 1.94406 1.22479 0.97048 0.85572 0.95867 1.22245 0.98483 0.98524 1.00483 1.21551 0.97443 0.92381 1.03549 1.21977 0.98406 1.00347 0.95096 0.88704 1.20108 0.87732 0.77954 0.83555 1.90688 1.19607 1.46778 1.82763 1.46113 1.18333 1.59356 1.13750 1.21314 0.92512 1.00474 0.84738 1.22117 0.98288 1.00393 0.93910 0.91332 1.21323 0.96830 0.99936 0.95701 1.21987 0.98289 0.99487 0.97422 1.20943 0.91189 0.95674 0.90489 1.43966 1.04583 1.70436 1.12323 1.19103 0.82123 1.03918 1.33681 0.92064 1.25143 0.97490 0.94434 1.01928 1.70063 1.35602 1.04493 1.43760 0.86413 0.84795 0.78362 0.77899 1.21275 1.21539 1.20392 1.20666 0.91010 0.91731 0.90687 0.86991 0.89109 0.91591 0.91559 0.91915 0.89059 0.93810 0.89958 0.90966 0.90893 0.90251 0.76443 0.92601 0.92064 0.93444 0.92522 0.93115 0.92491 0.96565 0.92921 0.93670 0.96248 0.90749 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 19. 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 -1.93 13.34 29.02 0.39 -1.54 16 2 C -0.15 -1.81 4.50 -101.06 -0.45 -2.26 16 3 C -0.11 -1.13 9.95 36.01 0.36 -0.78 16 4 C 0.15 1.86 2.62 -27.83 -0.07 1.79 16 5 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 6 O -0.35 -4.91 7.36 -55.59 -0.41 -5.32 16 7 C 0.07 0.76 6.84 37.20 0.25 1.02 16 8 C -0.16 -1.94 5.74 -26.52 -0.15 -2.10 16 9 C -0.11 -1.33 5.53 -26.48 -0.15 -1.48 16 10 C -0.14 -1.74 2.41 -91.63 -0.22 -1.96 16 11 H 0.09 1.06 6.96 -51.93 -0.36 0.70 16 12 C 0.52 8.21 5.51 -10.98 -0.06 8.15 16 13 O -0.52 -9.67 13.58 -14.80 -0.20 -9.87 16 14 N -0.72 -11.45 5.33 -60.29 -0.32 -11.77 16 15 C 0.13 2.22 5.07 -4.04 -0.02 2.20 16 16 C -0.13 -2.25 2.37 -90.51 -0.21 -2.47 16 17 H 0.07 1.25 8.14 -51.92 -0.42 0.83 16 18 C -0.10 -1.64 5.17 -26.69 -0.14 -1.78 16 19 C -0.13 -2.26 6.08 -26.61 -0.16 -2.43 16 20 C 0.14 2.98 6.52 -3.71 -0.02 2.96 16 21 N -0.59 -14.35 2.96 -172.32 -0.51 -14.86 16 22 C -0.26 -6.88 9.51 -15.06 -0.14 -7.03 16 23 H 0.06 1.62 7.89 -52.48 -0.41 1.21 16 24 C 0.01 0.26 4.85 -17.43 -0.08 0.17 16 25 N -0.90 -25.02 11.66 55.49 0.65 -24.37 16 26 Si 0.90 20.76 29.59 -169.99 -5.03 15.73 16 27 H -0.29 -6.70 7.11 56.52 0.40 -6.30 16 28 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 29 H -0.28 -6.34 7.11 56.52 0.40 -5.94 16 30 C 0.19 4.14 4.37 -3.72 -0.02 4.12 16 31 H 0.11 1.63 6.85 -52.49 -0.36 1.27 16 32 H 0.09 1.02 8.05 -52.49 -0.42 0.60 16 33 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 34 H 0.07 0.66 8.10 -51.93 -0.42 0.24 16 35 H 0.06 0.59 6.82 -51.93 -0.35 0.24 16 36 H 0.09 0.95 8.14 -51.93 -0.42 0.52 16 37 H 0.04 0.41 8.14 -51.93 -0.42 -0.01 16 38 H 0.08 1.25 6.68 -51.93 -0.35 0.90 16 39 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 40 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 41 H 0.08 1.05 8.14 -51.93 -0.42 0.63 16 42 H 0.40 6.17 7.68 -40.82 -0.31 5.85 16 43 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 44 H 0.06 1.10 8.14 -51.93 -0.42 0.68 16 45 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 46 H 0.06 0.95 8.14 -51.93 -0.42 0.52 16 47 H 0.05 0.75 8.14 -51.93 -0.42 0.32 16 48 H 0.06 0.99 8.14 -51.93 -0.42 0.57 16 49 H 0.02 0.35 8.14 -51.93 -0.42 -0.07 16 50 H 0.05 1.08 7.93 -51.93 -0.41 0.67 16 51 H 0.25 6.85 8.31 -40.82 -0.34 6.51 16 52 H 0.02 0.48 8.14 -51.93 -0.42 0.06 16 53 H 0.07 1.79 5.71 -51.92 -0.30 1.50 16 LS Contribution 403.45 15.07 6.08 6.08 Total: -1.00 -30.54 403.45 -10.26 -40.79 By element: Atomic # 1 Polarization: 16.59 SS G_CDS: -9.60 Total: 6.99 kcal Atomic # 6 Polarization: -2.49 SS G_CDS: -0.91 Total: -3.41 kcal Atomic # 7 Polarization: -50.82 SS G_CDS: -0.18 Total: -51.01 kcal Atomic # 8 Polarization: -14.57 SS G_CDS: -0.61 Total: -15.18 kcal Atomic # 14 Polarization: 20.76 SS G_CDS: -5.03 Total: 15.73 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -30.54 -10.26 -40.79 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. ZINC000600818054.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 -20.264 kcal (2) G-P(sol) polarization free energy of solvation -30.536 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.800 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.256 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.792 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.055 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.42 seconds