Wall clock time and date at job start Tue Mar 31 2020 19:56:27 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 1.52996 * 1 3 3 C 1.53003 * 109.47378 * 2 1 4 4 C 1.53002 * 109.47523 * 120.00397 * 2 1 3 5 5 C 1.50701 * 109.46599 * 299.99939 * 4 2 1 6 6 O 1.21277 * 120.00524 * 359.97438 * 5 4 2 7 7 N 1.34781 * 119.99959 * 179.97438 * 5 4 2 8 8 C 1.47487 * 125.66054 * 359.96009 * 7 5 4 9 9 C 1.55023 * 104.90536 * 204.04196 * 8 7 5 10 10 C 1.54489 * 101.53372 * 323.64621 * 9 8 7 11 11 C 1.47180 * 125.66438 * 180.02562 * 7 5 4 12 12 C 1.52519 * 110.09014 * 153.03460 * 10 9 8 13 13 N 1.47314 * 108.39047 * 173.02563 * 12 10 9 14 14 C 1.36936 * 121.05813 * 130.57548 * 13 12 10 15 15 H 1.07998 * 120.00498 * 205.76998 * 14 13 12 16 16 C 1.38821 * 119.99681 * 25.77702 * 14 13 12 17 17 N 1.31609 * 120.00222 * 16.74684 * 16 14 13 18 18 Si 1.86806 * 119.99648 * 196.75195 * 16 14 13 19 19 H 1.48498 * 109.47033 * 89.99482 * 18 16 14 20 20 H 1.48501 * 109.46780 * 209.99678 * 18 16 14 21 21 H 1.48497 * 109.46823 * 329.99743 * 18 16 14 22 22 C 1.47163 * 117.88259 * 310.59408 * 13 12 10 23 23 C 1.53274 * 108.53249 * 51.12789 * 22 13 12 24 24 O 1.42066 * 110.38010 * 276.05644 * 10 9 8 25 25 C 1.53009 * 109.47095 * 240.00222 * 2 1 3 26 26 C 1.52998 * 117.49741 * 128.62109 * 25 2 1 27 27 C 1.52993 * 60.00019 * 252.51429 * 26 25 2 28 28 H 1.08998 * 109.47129 * 299.99452 * 1 2 3 29 29 H 1.09003 * 109.47126 * 59.99961 * 1 2 3 30 30 H 1.09001 * 109.47316 * 179.97438 * 1 2 3 31 31 H 1.08996 * 109.47499 * 179.97438 * 3 2 1 32 32 H 1.08996 * 109.46978 * 300.00440 * 3 2 1 33 33 H 1.09004 * 109.46767 * 59.99836 * 3 2 1 34 34 H 1.08996 * 109.47528 * 180.02562 * 4 2 1 35 35 H 1.09001 * 109.46891 * 59.99658 * 4 2 1 36 36 H 1.09004 * 110.35395 * 322.90066 * 8 7 5 37 37 H 1.09000 * 110.35310 * 85.07589 * 8 7 5 38 38 H 1.09001 * 111.01119 * 205.58039 * 9 8 7 39 39 H 1.08999 * 111.01358 * 81.71041 * 9 8 7 40 40 H 1.08993 * 109.91362 * 59.08408 * 11 7 5 41 41 H 1.08999 * 110.06152 * 297.90237 * 11 7 5 42 42 H 1.09001 * 109.67965 * 292.74472 * 12 10 9 43 43 H 1.08996 * 109.67944 * 53.26509 * 12 10 9 44 44 H 0.97004 * 119.99987 * 179.97438 * 17 16 14 45 45 H 1.09003 * 109.62559 * 170.83746 * 22 13 12 46 46 H 1.08994 * 109.62640 * 291.21790 * 22 13 12 47 47 H 1.09003 * 109.51055 * 187.18676 * 23 22 13 48 48 H 1.08994 * 109.51400 * 67.04172 * 23 22 13 49 49 H 1.08996 * 115.54988 * 274.32665 * 25 2 1 50 50 H 1.09008 * 117.50126 * 0.02562 * 26 25 2 51 51 H 1.09004 * 117.49798 * 145.02213 * 26 25 2 52 52 H 1.09007 * 117.49735 * 252.51571 * 27 26 25 53 53 H 1.09000 * 117.50003 * 107.49154 * 27 26 25 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 2.0401 -0.7213 1.2492 5 6 1.5377 -0.0109 2.4796 6 8 0.8408 0.9754 2.3685 7 7 1.8629 -0.4717 3.7038 8 6 2.6979 -1.6549 3.9833 9 6 2.2755 -2.1148 5.4022 10 6 2.0184 -0.7616 6.1018 11 6 1.4427 0.1215 4.9835 12 6 0.9990 -0.9366 7.2227 13 7 0.9074 0.3298 7.9695 14 6 -0.3060 0.9020 8.2438 15 1 -0.3775 1.9683 8.3996 16 6 -1.4444 0.1114 8.3218 17 7 -1.3319 -1.1922 8.4631 18 14 -3.1361 0.8980 8.2261 19 1 -3.5754 0.9563 6.8088 20 1 -4.1030 0.0893 9.0112 21 1 -3.0746 2.2735 8.7823 22 6 2.1615 0.9607 8.4111 23 6 3.1040 1.0662 7.2070 24 8 3.2355 -0.2214 6.5968 25 6 2.0400 -0.7212 -1.2493 26 6 3.0741 0.0052 -2.1117 27 6 1.6357 -0.1494 -2.6096 28 1 -0.3633 0.5137 0.8900 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3634 -1.0277 -0.0005 31 1 3.1300 1.4425 0.0005 32 1 1.6767 1.9563 -0.8899 33 1 1.6767 1.9563 0.8900 34 1 3.1300 -0.7209 1.2494 35 1 1.6767 -1.7490 1.2491 36 1 2.4979 -2.4407 3.2548 37 1 3.7540 -1.3856 3.9690 38 1 3.0816 -2.6611 5.8920 39 1 1.3660 -2.7142 5.3642 40 1 0.3547 0.1374 5.0459 41 1 1.8343 1.1349 5.0724 42 1 0.0258 -1.1838 6.7985 43 1 1.3218 -1.7350 7.8909 44 1 -2.1274 -1.7446 8.5180 45 1 1.9527 1.9570 8.8010 46 1 2.6232 0.3525 9.1889 47 1 4.0824 1.4129 7.5398 48 1 2.6938 1.7713 6.4842 49 1 2.1267 -1.8044 -1.1643 50 1 3.3915 0.9969 -1.7889 51 1 3.8415 -0.6001 -2.5943 52 1 1.4568 -0.8564 -3.4197 53 1 1.0064 0.7406 -2.6145 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 ZINC000972372744.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 19:56:27 Heat of formation + Delta-G solvation = -22.994915 kcal Electronic energy + Delta-G solvation = -31357.850380 eV Core-core repulsion = 27424.347038 eV Total energy + Delta-G solvation = -3933.503341 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -40.49981 -39.47127 -38.05580 -36.13316 -34.48168 -33.59045 -31.81741 -31.24086 -29.10189 -28.62003 -27.33129 -27.25341 -25.48520 -23.65395 -23.26775 -22.89654 -22.38094 -21.07813 -19.37741 -18.67162 -18.33204 -17.13037 -16.94389 -16.40595 -15.93745 -15.49928 -15.26284 -14.92432 -14.40580 -14.36067 -14.17625 -13.93469 -13.72133 -13.49356 -13.44747 -13.13629 -12.83683 -12.75615 -12.44211 -12.06272 -11.91139 -11.79194 -11.65978 -11.43228 -11.31410 -11.15265 -11.08420 -11.01544 -10.97645 -10.83117 -10.78608 -10.75709 -10.47602 -10.39654 -10.26332 -9.98644 -9.93382 -9.56919 -9.30114 -9.05523 -8.55676 -8.32029 -6.77836 -5.86390 -3.28654 2.84584 3.18469 3.36245 3.43364 3.44094 3.64485 4.19415 4.41311 4.44755 4.58117 4.73564 4.77113 4.83969 4.91885 5.03782 5.09373 5.17932 5.31739 5.35944 5.37246 5.41156 5.45273 5.50771 5.57456 5.65151 5.67838 5.69762 5.80392 5.80722 5.83831 5.89689 5.95790 6.02524 6.03643 6.07542 6.11355 6.18672 6.22415 6.25344 6.30246 6.45625 6.51415 6.55442 6.60109 6.65377 6.76041 7.02701 7.40075 7.71077 7.79174 7.88075 8.30179 8.42618 9.09125 9.72016 10.28579 11.22104 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.014314 B = 0.003252 C = 0.002909 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1955.598907 B = 8609.139946 C = 9622.348449 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.014 4.014 3 C -0.156 4.156 4 C -0.124 4.124 5 C 0.525 3.475 6 O -0.534 6.534 7 N -0.615 5.615 8 C 0.103 3.897 9 C -0.118 4.118 10 C 0.085 3.915 11 C 0.098 3.902 12 C 0.163 3.837 13 N -0.595 5.595 14 C -0.252 4.252 15 H 0.069 0.931 16 C 0.003 3.997 17 N -0.904 5.904 18 Si 0.902 3.098 19 H -0.286 1.286 20 H -0.290 1.290 21 H -0.278 1.278 22 C 0.110 3.890 23 C 0.044 3.956 24 O -0.376 6.376 25 C -0.143 4.143 26 C -0.186 4.186 27 C -0.178 4.178 28 H 0.086 0.914 29 H 0.049 0.951 30 H 0.046 0.954 31 H 0.048 0.952 32 H 0.049 0.951 33 H 0.086 0.914 34 H 0.090 0.910 35 H 0.090 0.910 36 H 0.072 0.928 37 H 0.070 0.930 38 H 0.090 0.910 39 H 0.091 0.909 40 H 0.082 0.918 41 H 0.068 0.932 42 H 0.097 0.903 43 H 0.033 0.967 44 H 0.255 0.745 45 H 0.062 0.938 46 H 0.027 0.973 47 H 0.083 0.917 48 H 0.047 0.953 49 H 0.102 0.898 50 H 0.101 0.899 51 H 0.089 0.911 52 H 0.090 0.910 53 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.297 -2.217 -16.501 19.576 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 -0.208 4.208 2 C -0.014 4.014 3 C -0.213 4.213 4 C -0.164 4.164 5 C 0.314 3.686 6 O -0.413 6.413 7 N -0.349 5.349 8 C -0.020 4.020 9 C -0.156 4.156 10 C 0.043 3.957 11 C -0.024 4.024 12 C 0.037 3.963 13 N -0.319 5.319 14 C -0.381 4.381 15 H 0.087 0.913 16 C -0.195 4.195 17 N -0.549 5.549 18 Si 0.732 3.268 19 H -0.213 1.213 20 H -0.217 1.217 21 H -0.204 1.204 22 C -0.016 4.016 23 C -0.034 4.034 24 O -0.295 6.295 25 C -0.161 4.161 26 C -0.223 4.223 27 C -0.214 4.214 28 H 0.105 0.895 29 H 0.068 0.932 30 H 0.065 0.935 31 H 0.067 0.933 32 H 0.068 0.932 33 H 0.105 0.895 34 H 0.108 0.892 35 H 0.108 0.892 36 H 0.090 0.910 37 H 0.088 0.912 38 H 0.109 0.891 39 H 0.109 0.891 40 H 0.100 0.900 41 H 0.087 0.913 42 H 0.115 0.885 43 H 0.051 0.949 44 H 0.065 0.935 45 H 0.081 0.919 46 H 0.045 0.955 47 H 0.102 0.898 48 H 0.065 0.935 49 H 0.120 0.880 50 H 0.119 0.881 51 H 0.107 0.893 52 H 0.108 0.892 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges 9.923 -1.853 -16.604 19.431 hybrid contribution -1.011 0.322 0.037 1.062 sum 8.912 -1.530 -16.566 18.873 Atomic orbital electron populations 1.22081 0.93735 1.01493 1.03494 1.19746 0.96136 0.94861 0.90655 1.22220 0.99973 0.95568 1.03513 1.21699 1.02164 1.00271 0.92235 1.20261 0.80378 0.84640 0.83304 1.90579 1.38337 1.26710 1.85641 1.48702 1.50955 1.29462 1.05799 1.22355 0.95057 0.87336 0.97299 1.22702 1.03047 0.96313 0.93527 1.22685 0.87058 0.91837 0.94081 1.22469 1.01020 0.97548 0.81373 1.21247 0.96939 0.88198 0.89917 1.44120 1.00922 1.24589 1.62259 1.19195 0.83880 0.91381 1.43669 0.91311 1.25007 0.98484 0.95661 1.00362 1.70002 1.28203 1.03713 1.52956 0.86280 0.84056 0.78614 0.77828 1.21253 1.21672 1.20361 1.21581 0.88256 0.97830 0.93977 1.23097 0.99778 0.84817 0.95685 1.87659 1.30521 1.34327 1.76989 1.22361 1.03579 0.98720 0.91411 1.23144 0.92388 1.02673 1.04064 1.22903 0.98146 1.03306 0.97086 0.89519 0.93166 0.93535 0.93264 0.93166 0.89516 0.89179 0.89181 0.90975 0.91200 0.89101 0.89073 0.90009 0.91338 0.88509 0.94928 0.93504 0.91911 0.95499 0.89850 0.93477 0.88033 0.88108 0.89297 0.89174 0.88790 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 -0.15 -1.87 8.02 37.16 0.30 -1.57 16 2 C -0.01 -0.15 0.62 -154.50 -0.10 -0.25 16 3 C -0.16 -1.85 6.77 37.16 0.25 -1.59 16 4 C -0.12 -1.39 3.76 -27.88 -0.10 -1.50 16 5 C 0.52 8.11 7.26 -10.98 -0.08 8.03 16 6 O -0.53 -9.93 11.68 5.56 0.06 -9.86 16 7 N -0.62 -9.72 3.33 -170.67 -0.57 -10.29 16 8 C 0.10 1.30 6.69 -2.43 -0.02 1.28 16 9 C -0.12 -1.72 6.21 -24.88 -0.15 -1.87 16 10 C 0.09 1.58 0.81 -89.73 -0.07 1.51 16 11 C 0.10 1.86 5.96 -3.32 -0.02 1.84 16 12 C 0.16 3.73 3.98 -3.84 -0.02 3.71 16 13 N -0.60 -14.53 2.97 -172.17 -0.51 -15.04 16 14 C -0.25 -6.77 9.66 -15.06 -0.15 -6.92 16 15 H 0.07 1.83 7.88 -52.49 -0.41 1.41 16 16 C 0.00 0.09 4.96 -17.43 -0.09 0.01 16 17 N -0.90 -25.49 11.12 55.49 0.62 -24.88 16 18 Si 0.90 21.67 29.59 -169.99 -5.03 16.65 16 19 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 20 H -0.29 -7.01 7.11 56.52 0.40 -6.61 16 21 H -0.28 -6.56 7.11 56.52 0.40 -6.16 16 22 C 0.11 2.26 6.72 -3.54 -0.02 2.24 16 23 C 0.04 0.78 6.76 37.30 0.25 1.03 16 24 O -0.38 -6.97 10.26 -35.23 -0.36 -7.33 16 25 C -0.14 -1.30 5.15 -90.62 -0.47 -1.77 16 26 C -0.19 -1.55 9.57 -26.74 -0.26 -1.80 16 27 C -0.18 -1.51 9.38 -26.74 -0.25 -1.76 16 28 H 0.09 1.33 5.51 -51.93 -0.29 1.05 16 29 H 0.05 0.57 7.29 -51.93 -0.38 0.19 16 30 H 0.05 0.54 8.14 -51.93 -0.42 0.11 16 31 H 0.05 0.53 6.98 -51.93 -0.36 0.17 16 32 H 0.05 0.55 7.07 -51.93 -0.37 0.18 16 33 H 0.09 1.28 5.51 -51.93 -0.29 1.00 16 34 H 0.09 0.89 8.14 -51.93 -0.42 0.47 16 35 H 0.09 0.88 7.85 -51.93 -0.41 0.47 16 36 H 0.07 0.71 7.48 -51.93 -0.39 0.32 16 37 H 0.07 0.84 8.14 -51.93 -0.42 0.41 16 38 H 0.09 1.21 8.14 -51.93 -0.42 0.78 16 39 H 0.09 1.32 8.01 -51.93 -0.42 0.90 16 40 H 0.08 1.80 7.61 -51.93 -0.40 1.41 16 41 H 0.07 1.39 6.00 -51.93 -0.31 1.07 16 42 H 0.10 2.46 5.90 -51.93 -0.31 2.16 16 43 H 0.03 0.80 8.14 -51.93 -0.42 0.38 16 44 H 0.25 6.98 8.31 -40.82 -0.34 6.64 16 45 H 0.06 1.23 7.96 -51.93 -0.41 0.82 16 46 H 0.03 0.57 8.14 -51.93 -0.42 0.14 16 47 H 0.08 1.23 8.14 -51.93 -0.42 0.81 16 48 H 0.05 0.86 6.22 -51.93 -0.32 0.53 16 49 H 0.10 0.85 8.11 -51.93 -0.42 0.43 16 50 H 0.10 0.87 5.85 -51.92 -0.30 0.56 16 51 H 0.09 0.65 8.14 -51.93 -0.42 0.22 16 52 H 0.09 0.67 8.14 -51.92 -0.42 0.25 16 53 H 0.09 0.83 7.07 -51.93 -0.37 0.47 16 LS Contribution 392.44 15.07 5.91 5.91 Total: -1.00 -30.21 392.44 -9.95 -40.16 By element: Atomic # 1 Polarization: 13.14 SS G_CDS: -9.09 Total: 4.05 kcal Atomic # 6 Polarization: 1.61 SS G_CDS: -0.99 Total: 0.63 kcal Atomic # 7 Polarization: -49.74 SS G_CDS: -0.46 Total: -50.20 kcal Atomic # 8 Polarization: -16.90 SS G_CDS: -0.30 Total: -17.19 kcal Atomic # 14 Polarization: 21.67 SS G_CDS: -5.03 Total: 16.65 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -30.21 -9.95 -40.16 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. ZINC000972372744.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 17.162 kcal (2) G-P(sol) polarization free energy of solvation -30.208 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -13.046 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.949 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.157 kcal (6) G-S(sol) free energy of system = (1) + (5) -22.995 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds