Wall clock time and date at job start Sat Apr 11 2020 06:12:48 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 O 1.42896 * 109.47061 * 2 1 4 4 C 1.42903 * 113.99972 * 180.02562 * 3 2 1 5 5 C 1.53000 * 109.47201 * 179.97438 * 4 3 2 6 6 C 1.50696 * 109.47365 * 179.97438 * 5 4 3 7 7 O 1.21281 * 120.00073 * 359.97438 * 6 5 4 8 8 N 1.34777 * 119.99895 * 180.02562 * 6 5 4 9 9 C 1.47151 * 120.99045 * 359.97438 * 8 6 5 10 10 C 1.53302 * 108.36842 * 230.33641 * 9 8 6 11 11 H 1.08998 * 109.51523 * 67.56817 * 10 9 8 12 12 C 1.52994 * 109.51005 * 187.67127 * 10 9 8 13 13 O 1.42966 * 109.22706 * 307.63935 * 10 9 8 14 14 C 1.42902 * 114.21449 * 62.49552 * 13 10 9 15 15 C 1.52998 * 109.54504 * 177.80228 * 14 13 10 16 16 C 1.53188 * 109.34707 * 300.94178 * 15 14 13 17 17 N 1.46930 * 108.76839 * 305.41247 * 16 15 14 18 18 C 1.36941 * 120.64080 * 233.70094 * 17 16 15 19 19 H 1.07999 * 120.00262 * 27.67664 * 18 17 16 20 20 C 1.38811 * 119.99870 * 207.67093 * 18 17 16 21 21 N 1.31614 * 120.00357 * 17.36954 * 20 18 17 22 22 Si 1.86807 * 119.99936 * 197.37037 * 20 18 17 23 23 H 1.48502 * 109.46835 * 89.99976 * 22 20 18 24 24 H 1.48496 * 109.46798 * 209.99855 * 22 20 18 25 25 H 1.48497 * 109.46808 * 330.00243 * 22 20 18 26 26 C 1.46917 * 118.71421 * 53.68518 * 17 16 15 27 27 C 1.52981 * 109.57245 * 57.49464 * 14 13 10 28 28 C 1.47155 * 120.98341 * 179.72145 * 8 6 5 29 29 H 1.08995 * 109.46938 * 60.00512 * 1 2 3 30 30 H 1.09003 * 109.46905 * 179.97438 * 1 2 3 31 31 H 1.08998 * 109.47308 * 299.99737 * 1 2 3 32 32 H 1.09004 * 109.47406 * 239.99800 * 2 1 3 33 33 H 1.09001 * 109.47024 * 119.99929 * 2 1 3 34 34 H 1.09002 * 109.47152 * 59.99772 * 4 3 2 35 35 H 1.09000 * 109.47204 * 299.99762 * 4 3 2 36 36 H 1.09002 * 109.47176 * 59.99881 * 5 4 3 37 37 H 1.09005 * 109.47271 * 300.00297 * 5 4 3 38 38 H 1.09001 * 109.68210 * 350.05297 * 9 8 6 39 39 H 1.09001 * 109.68461 * 110.61589 * 9 8 6 40 40 H 1.08998 * 109.47740 * 59.99532 * 12 10 9 41 41 H 1.09005 * 109.47467 * 180.02562 * 12 10 9 42 42 H 1.09009 * 109.47109 * 299.99368 * 12 10 9 43 43 H 1.08996 * 109.49203 * 60.90677 * 15 14 13 44 44 H 1.08997 * 109.49242 * 180.97997 * 15 14 13 45 45 H 1.09004 * 109.58769 * 185.62874 * 16 15 14 46 46 H 1.09003 * 109.58685 * 65.20121 * 16 15 14 47 47 H 0.96998 * 120.00877 * 180.02562 * 21 20 18 48 48 H 1.09010 * 109.58504 * 186.54357 * 26 17 16 49 49 H 1.09002 * 109.58874 * 66.12222 * 26 17 16 50 50 H 1.08997 * 109.49495 * 179.02685 * 27 14 13 51 51 H 1.09008 * 109.48849 * 299.09733 * 27 14 13 52 52 H 1.09009 * 109.67452 * 249.51967 * 28 8 6 53 53 H 1.08999 * 109.68152 * 10.05711 * 28 8 6 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 8 2.0063 1.3472 0.0000 4 6 3.4309 1.4601 -0.0006 5 6 3.8254 2.9383 -0.0012 6 6 5.3276 3.0574 -0.0012 7 8 6.0151 2.0583 -0.0002 8 7 5.9072 4.2742 -0.0011 9 6 5.0941 5.5007 -0.0016 10 6 5.6017 6.4163 -1.1216 11 1 5.3845 5.9632 -2.0888 12 6 4.9051 7.7751 -1.0258 13 8 7.0137 6.5917 -0.9827 14 6 7.7697 5.3860 -1.1121 15 6 9.2623 5.7032 -1.0007 16 6 9.6536 6.6954 -2.1003 17 7 9.2487 6.1440 -3.4006 18 6 10.1549 6.0230 -4.4201 19 1 11.2039 5.8940 -4.1978 20 6 9.7253 6.0661 -5.7394 21 7 8.5380 6.5547 -6.0292 22 14 10.8322 5.4307 -7.1034 23 1 10.5661 3.9865 -7.3244 24 1 10.5569 6.1818 -8.3545 25 1 12.2532 5.6186 -6.7156 26 6 7.8529 5.7246 -3.5857 27 6 7.4807 4.7431 -2.4699 28 6 7.3719 4.4156 0.0050 29 1 -0.3633 0.5137 -0.8900 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3634 0.5138 0.8900 32 1 1.8934 -0.5139 -0.8900 33 1 1.8933 -0.5138 0.8900 34 1 3.8333 0.9766 -0.8908 35 1 3.8340 0.9765 0.8892 36 1 3.4229 3.4222 0.8888 37 1 3.4222 3.4217 -0.8912 38 1 4.0488 5.2481 -0.1793 39 1 5.1920 6.0065 0.9589 40 1 5.1241 8.2284 -0.0591 41 1 5.2661 8.4254 -1.8226 42 1 3.8283 7.6394 -1.1279 43 1 9.4690 6.1419 -0.0246 44 1 9.8388 4.7855 -1.1169 45 1 10.7329 6.8475 -2.0880 46 1 9.1466 7.6456 -1.9324 47 1 8.2376 6.5845 -6.9510 48 1 7.7436 5.2356 -4.5538 49 1 7.2001 6.5962 -3.5385 50 1 8.0710 3.8328 -2.5743 51 1 6.4204 4.4994 -2.5385 52 1 7.6985 4.8103 0.9672 53 1 7.8352 3.4447 -0.1701 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 ZINC001111540263.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 06:12:48 Heat of formation + Delta-G solvation = -104.503016 kcal Electronic energy + Delta-G solvation = -31941.356295 eV Core-core repulsion = 27813.862446 eV Total energy + Delta-G solvation = -4127.493849 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.37 seconds Orbital eigenvalues (eV) -40.74112 -39.05454 -38.05915 -36.39602 -34.60534 -33.64977 -32.71040 -31.49217 -30.65534 -30.08504 -29.63122 -27.25891 -26.30149 -24.54533 -23.21963 -23.05562 -22.57745 -21.67206 -20.68299 -19.10434 -18.89114 -17.67842 -16.96283 -16.71031 -16.40658 -16.12675 -15.67989 -15.38252 -14.94655 -14.66277 -14.55958 -14.34111 -14.12704 -13.75802 -13.48421 -13.37642 -13.23822 -13.01992 -12.71319 -12.59640 -12.38618 -12.33026 -12.11190 -11.88012 -11.75765 -11.50062 -11.44010 -11.40312 -11.36593 -11.26680 -11.01241 -10.74510 -10.55658 -10.34435 -10.24465 -10.14149 -9.86340 -9.85935 -9.77331 -9.50827 -9.30060 -8.43463 -8.37178 -6.62132 -5.75170 -3.16559 2.51674 2.69744 3.40062 3.46948 3.47002 3.47898 3.89457 4.42629 4.52967 4.67844 4.71279 4.72356 4.79036 4.88906 4.96481 5.08040 5.11217 5.14727 5.20531 5.27867 5.33342 5.39294 5.42283 5.48354 5.53101 5.54445 5.55696 5.62525 5.63280 5.65677 5.79170 5.80724 5.88444 6.03689 6.09066 6.20962 6.28144 6.34853 6.44091 6.46699 6.57191 6.68414 6.84135 6.90831 7.08321 7.28041 7.40857 7.59614 7.71384 7.82827 8.04891 8.48731 9.25485 9.89459 10.46970 11.33321 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012646 B = 0.002900 C = 0.002655 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2213.568446 B = 9653.955680 C =10545.338440 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 0.058 3.942 3 O -0.393 6.393 4 C 0.079 3.921 5 C -0.138 4.138 6 C 0.520 3.480 7 O -0.542 6.542 8 N -0.608 5.608 9 C 0.077 3.923 10 C 0.070 3.930 11 H 0.070 0.930 12 C -0.141 4.141 13 O -0.355 6.355 14 C 0.119 3.881 15 C -0.117 4.117 16 C 0.151 3.849 17 N -0.591 5.591 18 C -0.250 4.250 19 H 0.066 0.934 20 C 0.001 3.999 21 N -0.903 5.903 22 Si 0.901 3.099 23 H -0.288 1.288 24 H -0.292 1.292 25 H -0.279 1.279 26 C 0.180 3.820 27 C -0.160 4.160 28 C 0.089 3.911 29 H 0.063 0.937 30 H 0.070 0.930 31 H 0.062 0.938 32 H 0.049 0.951 33 H 0.048 0.952 34 H 0.059 0.941 35 H 0.057 0.943 36 H 0.100 0.900 37 H 0.103 0.897 38 H 0.091 0.909 39 H 0.076 0.924 40 H 0.061 0.939 41 H 0.071 0.929 42 H 0.068 0.932 43 H 0.059 0.941 44 H 0.073 0.927 45 H 0.053 0.947 46 H 0.028 0.972 47 H 0.253 0.747 48 H 0.084 0.916 49 H 0.022 0.978 50 H 0.063 0.937 51 H 0.048 0.952 52 H 0.069 0.931 53 H 0.098 0.902 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.283 -5.886 15.136 21.628 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 -0.018 4.018 3 O -0.313 6.313 4 C 0.002 3.998 5 C -0.178 4.178 6 C 0.309 3.691 7 O -0.420 6.420 8 N -0.341 5.341 9 C -0.046 4.046 10 C 0.011 3.989 11 H 0.088 0.912 12 C -0.199 4.199 13 O -0.274 6.274 14 C 0.079 3.921 15 C -0.157 4.157 16 C 0.025 3.975 17 N -0.314 5.314 18 C -0.379 4.379 19 H 0.083 0.917 20 C -0.197 4.197 21 N -0.548 5.548 22 Si 0.731 3.269 23 H -0.215 1.215 24 H -0.218 1.218 25 H -0.204 1.204 26 C 0.054 3.946 27 C -0.199 4.199 28 C -0.034 4.034 29 H 0.082 0.918 30 H 0.089 0.911 31 H 0.081 0.919 32 H 0.068 0.932 33 H 0.066 0.934 34 H 0.077 0.923 35 H 0.075 0.925 36 H 0.119 0.881 37 H 0.121 0.879 38 H 0.109 0.891 39 H 0.095 0.905 40 H 0.081 0.919 41 H 0.090 0.910 42 H 0.087 0.913 43 H 0.078 0.922 44 H 0.091 0.909 45 H 0.071 0.929 46 H 0.045 0.955 47 H 0.063 0.937 48 H 0.103 0.897 49 H 0.040 0.960 50 H 0.082 0.918 51 H 0.067 0.933 52 H 0.088 0.912 53 H 0.116 0.884 Dipole moment (debyes) X Y Z Total from point charges -14.006 -6.055 14.999 21.396 hybrid contribution 0.466 -0.765 -0.769 1.180 sum -13.540 -6.820 14.230 20.793 Atomic orbital electron populations 1.21747 0.93698 1.02253 1.03136 1.22449 0.95477 0.83574 1.00313 1.87797 1.21149 1.26781 1.95594 1.22105 0.80607 0.95310 1.01799 1.21488 0.92623 0.98207 1.05503 1.20342 0.90047 0.82788 0.75949 1.90706 1.65270 1.35857 1.50162 1.48090 1.07424 1.05537 1.73086 1.22592 0.95576 0.85717 1.00734 1.22387 0.83199 0.96113 0.97191 0.91213 1.21696 0.99230 0.95601 1.03352 1.88010 1.15733 1.31066 1.92625 1.21713 0.92641 0.84147 0.93624 1.21996 0.91647 1.01831 1.00234 1.20792 0.97615 0.93577 0.85529 1.44034 1.07142 1.71259 1.08945 1.19207 0.90100 1.43492 0.85133 0.91665 1.25023 0.97250 0.99976 0.97500 1.70034 1.19896 1.46916 1.17906 0.86308 0.80244 0.78594 0.81759 1.21535 1.21816 1.20442 1.20644 0.84796 0.93705 0.95418 1.22706 0.99718 1.00969 0.96531 1.22472 0.79258 1.02071 0.99557 0.91779 0.91101 0.91885 0.93224 0.93361 0.92276 0.92476 0.88127 0.87913 0.89087 0.90537 0.91949 0.90961 0.91297 0.92235 0.90867 0.92896 0.95453 0.93744 0.89746 0.96032 0.91827 0.93343 0.91238 0.88379 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 -1.01 10.28 37.16 0.38 -0.63 16 2 C 0.06 0.49 6.66 37.16 0.25 0.74 16 3 O -0.39 -4.24 10.34 -35.23 -0.36 -4.60 16 4 C 0.08 0.86 5.23 37.16 0.19 1.06 16 5 C -0.14 -1.43 4.44 -27.89 -0.12 -1.55 16 6 C 0.52 7.16 7.71 -10.99 -0.08 7.07 16 7 O -0.54 -9.31 15.45 5.56 0.09 -9.23 16 8 N -0.61 -8.12 2.53 -172.31 -0.44 -8.56 16 9 C 0.08 0.84 5.83 -3.53 -0.02 0.81 16 10 C 0.07 0.94 3.01 -26.58 -0.08 0.86 16 11 H 0.07 1.06 6.29 -51.93 -0.33 0.73 16 12 C -0.14 -1.56 9.57 37.15 0.36 -1.20 16 13 O -0.36 -5.97 8.65 -35.23 -0.30 -6.28 16 14 C 0.12 2.02 0.68 -90.51 -0.06 1.96 16 15 C -0.12 -2.05 5.10 -26.63 -0.14 -2.19 16 16 C 0.15 3.22 6.28 -3.71 -0.02 3.20 16 17 N -0.59 -14.95 2.99 -172.32 -0.52 -15.46 16 18 C -0.25 -6.91 9.59 -15.06 -0.14 -7.05 16 19 H 0.07 1.77 7.89 -52.49 -0.41 1.36 16 20 C 0.00 0.02 4.91 -17.43 -0.09 -0.06 16 21 N -0.90 -26.42 11.19 55.49 0.62 -25.80 16 22 Si 0.90 21.96 29.59 -169.99 -5.03 16.93 16 23 H -0.29 -7.04 7.11 56.52 0.40 -6.64 16 24 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 25 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 26 C 0.18 4.35 5.08 -3.71 -0.02 4.33 16 27 C -0.16 -3.15 4.33 -26.64 -0.12 -3.26 16 28 C 0.09 1.32 5.29 -3.57 -0.02 1.30 16 29 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 30 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 31 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 33 H 0.05 0.37 8.14 -51.93 -0.42 -0.06 16 34 H 0.06 0.70 8.10 -51.93 -0.42 0.28 16 35 H 0.06 0.63 8.10 -51.93 -0.42 0.21 16 36 H 0.10 0.85 8.02 -51.93 -0.42 0.43 16 37 H 0.10 0.97 7.65 -51.93 -0.40 0.57 16 38 H 0.09 0.75 6.06 -51.93 -0.31 0.44 16 39 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 40 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 41 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 42 H 0.07 0.58 8.14 -51.92 -0.42 0.16 16 43 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 44 H 0.07 1.28 8.14 -51.93 -0.42 0.86 16 45 H 0.05 1.09 7.93 -51.93 -0.41 0.68 16 46 H 0.03 0.61 7.82 -51.93 -0.41 0.20 16 47 H 0.25 7.15 8.31 -40.82 -0.34 6.81 16 48 H 0.08 2.31 6.03 -51.92 -0.31 1.99 16 49 H 0.02 0.55 7.83 -51.93 -0.41 0.15 16 50 H 0.06 1.33 8.14 -51.93 -0.42 0.91 16 51 H 0.05 0.90 6.16 -51.92 -0.32 0.58 16 52 H 0.07 0.95 8.14 -51.92 -0.42 0.53 16 53 H 0.10 1.59 7.08 -51.93 -0.37 1.23 16 LS Contribution 405.15 15.07 6.11 6.11 Total: -1.00 -32.51 405.15 -9.14 -41.64 By element: Atomic # 1 Polarization: 9.42 SS G_CDS: -9.57 Total: -0.14 kcal Atomic # 6 Polarization: 5.12 SS G_CDS: 0.27 Total: 5.38 kcal Atomic # 7 Polarization: -49.48 SS G_CDS: -0.33 Total: -49.81 kcal Atomic # 8 Polarization: -19.52 SS G_CDS: -0.58 Total: -20.11 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.03 Total: 16.93 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -32.51 -9.14 -41.64 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. ZINC001111540263.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 -62.860 kcal (2) G-P(sol) polarization free energy of solvation -32.506 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -95.366 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.137 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.643 kcal (6) G-S(sol) free energy of system = (1) + (5) -104.503 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.37 seconds