Wall clock time and date at job start Wed Apr 1 2020 00:16:02 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 1.42908 * 1 3 3 C 1.42899 * 113.99972 * 2 1 4 4 C 1.53002 * 109.46875 * 180.02562 * 3 2 1 5 5 C 1.53004 * 109.45835 * 299.97113 * 4 3 2 6 6 N 1.46505 * 109.46981 * 60.02761 * 5 4 3 7 7 C 1.34780 * 119.99456 * 179.97438 * 6 5 4 8 8 O 1.21271 * 120.00545 * 0.02562 * 7 6 5 9 9 C 1.50706 * 119.99581 * 180.02562 * 7 6 5 10 10 H 1.09000 * 110.45480 * 300.69947 * 9 7 6 11 11 C 1.54508 * 110.51084 * 63.30418 * 9 7 6 12 12 C 1.54479 * 104.06135 * 118.64573 * 11 9 7 13 13 O 1.44426 * 104.80112 * 23.97782 * 12 11 9 14 14 C 1.44637 * 105.37153 * 319.56471 * 13 12 11 15 15 H 1.09006 * 110.34202 * 281.59695 * 14 13 12 16 16 C 1.52998 * 110.51164 * 159.18625 * 14 13 12 17 17 C 1.53039 * 109.45959 * 180.02562 * 4 3 2 18 18 C 1.53193 * 109.31182 * 178.61249 * 17 4 3 19 19 N 1.46928 * 108.77558 * 54.63322 * 18 17 4 20 20 C 1.36939 * 120.62948 * 126.36714 * 19 18 17 21 21 H 1.07998 * 119.99697 * 331.91778 * 20 19 18 22 22 C 1.38812 * 119.99948 * 151.91586 * 20 19 18 23 23 N 1.31621 * 119.99722 * 343.21501 * 22 20 19 24 24 Si 1.86797 * 120.00136 * 163.21536 * 22 20 19 25 25 H 1.48497 * 109.47049 * 359.97438 * 24 22 20 26 26 H 1.48497 * 109.47033 * 119.99925 * 24 22 20 27 27 H 1.48503 * 109.47061 * 240.00183 * 24 22 20 28 28 C 1.46924 * 118.73966 * 306.64301 * 19 18 17 29 29 C 1.52765 * 109.00737 * 53.30621 * 28 19 18 30 30 H 1.08997 * 109.46965 * 300.00576 * 1 2 3 31 31 H 1.09008 * 109.46609 * 59.99758 * 1 2 3 32 32 H 1.08991 * 109.47227 * 179.97438 * 1 2 3 33 33 H 1.08999 * 109.47121 * 60.00021 * 3 2 1 34 34 H 1.09000 * 109.47214 * 299.99825 * 3 2 1 35 35 H 1.09004 * 109.47154 * 180.02562 * 5 4 3 36 36 H 1.09003 * 109.47207 * 300.02702 * 5 4 3 37 37 H 0.96996 * 120.00306 * 359.97438 * 6 5 4 38 38 H 1.09003 * 110.51108 * 237.28832 * 11 9 7 39 39 H 1.09001 * 110.51414 * 359.86415 * 11 9 7 40 40 H 1.09003 * 110.37286 * 142.81012 * 12 11 9 41 41 H 1.09001 * 110.37035 * 265.14703 * 12 11 9 42 42 H 1.09005 * 109.46867 * 304.67386 * 16 14 13 43 43 H 1.09004 * 109.47130 * 64.66608 * 16 14 13 44 44 H 1.08998 * 109.47599 * 184.67035 * 16 14 13 45 45 H 1.08999 * 109.49578 * 58.66145 * 17 4 3 46 46 H 1.08995 * 109.52302 * 298.57640 * 17 4 3 47 47 H 1.08996 * 109.58580 * 294.84971 * 18 17 4 48 48 H 1.08994 * 109.58825 * 174.42295 * 18 17 4 49 49 H 0.97006 * 119.99968 * 180.02562 * 23 22 20 50 50 H 1.08996 * 109.58947 * 173.14529 * 28 19 18 51 51 H 1.09000 * 109.59079 * 293.57282 * 28 19 18 52 52 H 1.09004 * 109.56639 * 185.55074 * 29 28 19 53 53 H 1.09007 * 109.38159 * 65.51915 * 29 28 19 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 1.4291 0.0000 0.0000 3 6 2.0103 1.3055 0.0000 4 6 3.5355 1.1846 -0.0006 5 6 3.9872 0.4256 1.2488 6 7 3.3916 -0.9129 1.2490 7 6 3.6514 -1.7657 2.2598 8 8 4.3777 -1.4251 3.1693 9 6 3.0392 -3.1429 2.2598 10 1 1.9513 -3.0761 2.2475 11 6 3.5452 -3.9602 1.0502 12 6 4.2730 -5.1640 1.6886 13 8 3.6819 -5.2997 2.9994 14 6 3.5182 -3.9482 3.4879 15 1 4.4697 -3.5582 3.8498 16 6 2.4661 -3.9030 4.5978 17 6 4.1578 2.5828 0.0000 18 6 5.6842 2.4580 0.0344 19 7 6.1144 1.6065 -1.0831 20 6 7.0595 2.0458 -1.9713 21 1 7.1715 3.1029 -2.1618 22 6 7.8737 1.1323 -2.6268 23 7 7.9792 -0.0989 -2.1736 24 14 8.8194 1.6504 -4.1521 25 1 8.5307 3.0756 -4.4533 26 1 10.2751 1.4794 -3.9137 27 1 8.4038 0.8079 -5.3022 28 6 5.5067 0.2773 -1.2331 29 6 3.9862 0.4243 -1.2500 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5139 -0.8901 32 1 -0.3633 -1.0276 -0.0005 33 1 1.6887 1.8464 0.8900 34 1 1.6887 1.8464 -0.8900 35 1 5.0739 0.3398 1.2488 36 1 3.6655 0.9667 2.1387 37 1 2.8104 -1.1853 0.5218 38 1 2.7073 -4.2997 0.4412 39 1 4.2363 -3.3675 0.4508 40 1 4.1029 -6.0658 1.1004 41 1 5.3406 -4.9607 1.7730 42 1 1.5337 -4.3336 4.2323 43 1 2.8185 -4.4751 5.4561 44 1 2.2962 -2.8684 4.8957 45 1 3.8178 3.1318 0.8781 46 1 3.8566 3.1159 -0.9017 47 1 5.9928 2.0067 0.9773 48 1 6.1340 3.4458 -0.0648 49 1 8.5484 -0.7371 -2.6314 50 1 5.8393 -0.1732 -2.1682 51 1 5.8004 -0.3555 -0.3955 52 1 3.5241 -0.5629 -1.2616 53 1 3.6861 0.9770 -2.1403 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 ZINC001162545688.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 00:16:02 Heat of formation + Delta-G solvation = -109.226480 kcal Electronic energy + Delta-G solvation = -32661.081107 eV Core-core repulsion = 28533.382433 eV Total energy + Delta-G solvation = -4127.698674 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.51 seconds Orbital eigenvalues (eV) -40.48057 -39.46243 -37.96759 -37.13479 -34.52964 -33.18337 -32.33577 -31.49472 -30.85847 -30.00396 -27.70405 -27.08873 -26.03588 -25.26360 -23.87747 -22.40768 -22.21039 -21.68770 -20.90994 -19.76983 -18.49147 -17.36933 -16.54314 -16.28642 -16.02137 -15.90406 -15.76523 -15.41790 -15.31015 -14.81303 -14.62470 -14.45215 -13.79503 -13.73675 -13.53186 -13.48097 -13.25803 -12.94912 -12.78658 -12.50055 -12.40413 -12.27382 -11.98381 -11.82113 -11.60139 -11.45527 -11.31957 -11.28005 -11.09718 -10.94078 -10.81437 -10.74780 -10.55815 -10.25146 -10.20118 -9.93993 -9.84132 -9.77176 -9.55050 -9.42177 -9.40485 -8.59800 -8.44215 -6.65940 -5.79105 -3.21776 2.89041 3.33812 3.36066 3.44325 3.46124 3.72778 3.90071 4.48797 4.51969 4.60263 4.84337 4.92643 4.99657 5.03314 5.19781 5.20959 5.22599 5.25437 5.32617 5.37828 5.41347 5.49336 5.50672 5.52690 5.55066 5.56024 5.64126 5.69176 5.72737 5.86086 5.89773 5.99619 6.01269 6.03679 6.08949 6.21026 6.34523 6.37368 6.58002 6.61036 6.68670 6.78424 6.79320 6.86604 6.96026 7.07545 7.36070 7.66577 7.79502 7.94987 8.44565 8.57363 9.21024 9.84277 10.40916 11.29265 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011136 B = 0.003749 C = 0.003165 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2513.721383 B = 7466.109289 C = 8845.671386 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.391 6.391 3 C 0.072 3.928 4 C -0.059 4.059 5 C 0.131 3.869 6 N -0.704 5.704 7 C 0.516 3.484 8 O -0.549 6.549 9 C -0.139 4.139 10 H 0.105 0.895 11 C -0.147 4.147 12 C 0.047 3.953 13 O -0.375 6.375 14 C 0.084 3.916 15 H 0.090 0.910 16 C -0.142 4.142 17 C -0.119 4.119 18 C 0.143 3.857 19 N -0.591 5.591 20 C -0.253 4.253 21 H 0.065 0.935 22 C 0.004 3.996 23 N -0.900 5.900 24 Si 0.900 3.100 25 H -0.278 1.278 26 H -0.290 1.290 27 H -0.289 1.289 28 C 0.171 3.829 29 C -0.125 4.125 30 H 0.038 0.962 31 H 0.040 0.960 32 H 0.082 0.918 33 H 0.046 0.954 34 H 0.051 0.949 35 H 0.084 0.916 36 H 0.055 0.945 37 H 0.409 0.591 38 H 0.083 0.917 39 H 0.087 0.913 40 H 0.093 0.907 41 H 0.063 0.937 42 H 0.060 0.940 43 H 0.063 0.937 44 H 0.071 0.929 45 H 0.054 0.946 46 H 0.066 0.934 47 H 0.022 0.978 48 H 0.056 0.944 49 H 0.253 0.747 50 H 0.085 0.915 51 H 0.021 0.979 52 H 0.054 0.946 53 H 0.056 0.944 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.745 -4.314 6.396 18.437 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 -0.004 4.004 4 C -0.060 4.060 5 C 0.008 3.992 6 N -0.360 5.360 7 C 0.301 3.699 8 O -0.428 6.428 9 C -0.161 4.161 10 H 0.123 0.877 11 C -0.186 4.186 12 C -0.030 4.030 13 O -0.295 6.295 14 C 0.027 3.973 15 H 0.108 0.892 16 C -0.199 4.199 17 C -0.159 4.159 18 C 0.017 3.983 19 N -0.313 5.313 20 C -0.382 4.382 21 H 0.083 0.917 22 C -0.195 4.195 23 N -0.545 5.545 24 Si 0.730 3.270 25 H -0.203 1.203 26 H -0.217 1.217 27 H -0.216 1.216 28 C 0.045 3.955 29 C -0.165 4.165 30 H 0.056 0.944 31 H 0.058 0.942 32 H 0.101 0.899 33 H 0.064 0.936 34 H 0.069 0.931 35 H 0.102 0.898 36 H 0.073 0.927 37 H 0.251 0.749 38 H 0.102 0.898 39 H 0.106 0.894 40 H 0.111 0.889 41 H 0.082 0.918 42 H 0.079 0.921 43 H 0.082 0.918 44 H 0.090 0.910 45 H 0.073 0.927 46 H 0.084 0.916 47 H 0.040 0.960 48 H 0.074 0.926 49 H 0.063 0.937 50 H 0.103 0.897 51 H 0.039 0.961 52 H 0.072 0.928 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges -16.067 -4.537 7.056 18.125 hybrid contribution -0.041 0.583 -1.385 1.503 sum -16.108 -3.954 5.671 17.529 Atomic orbital electron populations 1.22700 0.81390 1.02418 0.99810 1.87560 1.19293 1.28837 1.95329 1.22768 0.93933 0.83905 0.99827 1.20806 0.91398 0.97292 0.96465 1.21459 0.99504 0.81931 0.96329 1.46229 1.49967 1.14633 1.25194 1.20202 0.81208 0.86191 0.82289 1.90675 1.37933 1.77701 1.36454 1.22701 1.02281 0.93603 0.97476 0.87661 1.22961 1.01575 0.96957 0.97060 1.23381 0.97388 0.98346 0.83876 1.89124 1.82770 1.25858 1.31713 1.22950 1.00130 0.81398 0.92854 0.89244 1.21761 0.97987 1.02489 0.97672 1.21991 0.99354 0.93544 1.01034 1.20932 0.90558 0.95464 0.91388 1.44028 1.44632 1.14922 1.27763 1.19212 1.10237 0.92361 1.16437 0.91691 1.25037 0.97506 0.96629 1.00343 1.70049 1.40640 1.04547 1.39245 0.86258 0.79470 0.77974 0.83274 1.20300 1.21739 1.21624 1.20702 0.86346 0.86814 1.01600 1.22111 1.00896 0.98393 0.95064 0.94369 0.94152 0.89914 0.93605 0.93115 0.89785 0.92692 0.74945 0.89842 0.89419 0.88852 0.91836 0.92090 0.91759 0.91011 0.92716 0.91567 0.95995 0.92555 0.93723 0.89657 0.96131 0.92754 0.92563 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 0.03 0.29 11.01 101.05 1.11 1.40 16 2 O -0.39 -4.58 6.73 -35.23 -0.24 -4.82 16 3 C 0.07 0.89 4.80 37.16 0.18 1.07 16 4 C -0.06 -0.90 0.51 -154.47 -0.08 -0.98 16 5 C 0.13 2.16 3.80 -4.04 -0.02 2.15 16 6 N -0.70 -10.54 4.58 -60.28 -0.28 -10.82 16 7 C 0.52 8.09 6.96 -10.98 -0.08 8.01 16 8 O -0.55 -10.60 15.46 5.56 0.09 -10.51 16 9 C -0.14 -1.72 3.05 -90.20 -0.27 -2.00 16 10 H 0.11 1.10 7.87 -51.93 -0.41 0.69 16 11 C -0.15 -1.68 6.70 -25.16 -0.17 -1.85 16 12 C 0.05 0.55 7.64 37.93 0.29 0.84 16 13 O -0.38 -5.05 11.35 -35.23 -0.40 -5.45 16 14 C 0.08 1.11 3.27 -25.96 -0.08 1.02 16 15 H 0.09 1.37 6.93 -51.93 -0.36 1.01 16 16 C -0.14 -1.53 9.52 37.16 0.35 -1.18 16 17 C -0.12 -1.89 4.90 -26.61 -0.13 -2.03 16 18 C 0.14 2.87 6.05 -3.71 -0.02 2.85 16 19 N -0.59 -14.25 3.00 -172.58 -0.52 -14.77 16 20 C -0.25 -6.79 9.58 -15.06 -0.14 -6.93 16 21 H 0.07 1.72 7.88 -52.49 -0.41 1.31 16 22 C 0.00 0.10 4.92 -17.43 -0.09 0.01 16 23 N -0.90 -25.86 11.20 55.49 0.62 -25.24 16 24 Si 0.90 21.45 29.59 -169.99 -5.03 16.42 16 25 H -0.28 -6.46 7.11 56.52 0.40 -6.06 16 26 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 27 H -0.29 -6.91 7.11 56.52 0.40 -6.51 16 28 C 0.17 3.91 4.81 -3.93 -0.02 3.89 16 29 C -0.13 -2.23 4.57 -26.83 -0.12 -2.35 16 30 H 0.04 0.30 8.14 -51.93 -0.42 -0.12 16 31 H 0.04 0.32 8.14 -51.92 -0.42 -0.11 16 32 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 33 H 0.05 0.53 8.14 -51.93 -0.42 0.10 16 34 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 35 H 0.08 1.69 4.99 -51.93 -0.26 1.44 16 36 H 0.05 0.89 8.14 -51.93 -0.42 0.47 16 37 H 0.41 5.61 4.71 -40.82 -0.19 5.41 16 38 H 0.08 0.78 8.14 -51.93 -0.42 0.35 16 39 H 0.09 1.12 7.72 -51.93 -0.40 0.72 16 40 H 0.09 0.89 8.14 -51.93 -0.42 0.46 16 41 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 42 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 44 H 0.07 0.77 8.14 -51.93 -0.42 0.34 16 45 H 0.05 0.74 8.14 -51.93 -0.42 0.32 16 46 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 47 H 0.02 0.46 6.69 -51.93 -0.35 0.11 16 48 H 0.06 1.11 7.93 -51.93 -0.41 0.70 16 49 H 0.25 7.03 8.31 -40.82 -0.34 6.69 16 50 H 0.09 2.23 6.07 -51.93 -0.32 1.91 16 51 H 0.02 0.51 6.70 -51.93 -0.35 0.16 16 52 H 0.05 0.90 6.50 -51.93 -0.34 0.56 16 53 H 0.06 1.03 8.14 -51.92 -0.42 0.61 16 LS Contribution 399.76 15.07 6.02 6.02 Total: -1.00 -31.27 399.76 -8.29 -39.56 By element: Atomic # 1 Polarization: 14.95 SS G_CDS: -9.27 Total: 5.68 kcal Atomic # 6 Polarization: 3.20 SS G_CDS: 0.71 Total: 3.91 kcal Atomic # 7 Polarization: -50.65 SS G_CDS: -0.17 Total: -50.82 kcal Atomic # 8 Polarization: -20.22 SS G_CDS: -0.55 Total: -20.77 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -5.03 Total: 16.42 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -31.27 -8.29 -39.56 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. ZINC001162545688.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 -69.666 kcal (2) G-P(sol) polarization free energy of solvation -31.273 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.939 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.288 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.561 kcal (6) G-S(sol) free energy of system = (1) + (5) -109.226 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.51 seconds