Wall clock time and date at job start Tue Mar 31 2020 12:46:45 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 C 1.53004 * 109.46964 * 2 1 4 4 C 1.52997 * 109.47360 * 120.00229 * 2 1 3 5 5 C 1.52997 * 109.47175 * 64.99856 * 4 2 1 6 6 H 1.08995 * 109.47429 * 305.00306 * 5 4 2 7 7 C 1.53002 * 109.47209 * 65.00461 * 5 4 2 8 8 C 1.53002 * 109.46973 * 185.00104 * 5 4 2 9 9 C 1.53000 * 109.47165 * 66.10988 * 8 5 4 10 10 H 1.08998 * 109.47072 * 302.90063 * 9 8 5 11 11 C 1.53004 * 109.47133 * 182.90252 * 9 8 5 12 12 N 1.46905 * 109.47217 * 62.90206 * 9 8 5 13 13 C 1.46895 * 110.99797 * 205.00324 * 12 9 8 14 14 C 1.50704 * 109.46973 * 180.02562 * 13 12 9 15 15 C 1.38321 * 119.96372 * 269.71979 * 14 13 12 16 16 C 1.38271 * 120.14151 * 179.76693 * 15 14 13 17 17 C 1.38128 * 120.06810 * 0.51309 * 16 15 14 18 18 C 1.38857 * 119.92647 * 359.73931 * 17 16 15 19 19 O 1.35751 * 120.06705 * 179.97438 * 18 17 16 20 20 C 1.34829 * 117.00172 * 354.50069 * 19 18 17 21 21 H 1.07995 * 119.99760 * 5.07946 * 20 19 18 22 22 C 1.38656 * 119.99917 * 185.07860 * 20 19 18 23 23 N 1.31553 * 119.99980 * 359.97438 * 22 20 19 24 24 Si 1.86803 * 119.99568 * 180.02562 * 22 20 19 25 25 H 1.48499 * 109.47455 * 60.00412 * 24 22 20 26 26 H 1.48505 * 109.46845 * 179.97438 * 24 22 20 27 27 H 1.48498 * 109.47206 * 299.99653 * 24 22 20 28 28 C 1.38079 * 119.96828 * 90.00039 * 14 13 12 29 29 H 1.09001 * 109.47288 * 299.99467 * 1 2 3 30 30 H 1.08998 * 109.47364 * 59.99888 * 1 2 3 31 31 H 1.09003 * 109.47096 * 179.97438 * 1 2 3 32 32 H 1.09001 * 109.47288 * 240.00533 * 2 1 3 33 33 H 1.09003 * 109.46977 * 179.97438 * 3 2 1 34 34 H 1.08998 * 109.47172 * 300.00229 * 3 2 1 35 35 H 1.09001 * 109.46683 * 60.00163 * 3 2 1 36 36 H 1.08997 * 109.47077 * 185.00161 * 4 2 1 37 37 H 1.09009 * 109.46952 * 304.99966 * 4 2 1 38 38 H 1.08997 * 109.46971 * 64.26129 * 7 5 4 39 39 H 1.08998 * 109.47429 * 184.26928 * 7 5 4 40 40 H 1.09007 * 109.46795 * 304.26576 * 7 5 4 41 41 H 1.09006 * 109.46997 * 186.10408 * 8 5 4 42 42 H 1.08994 * 109.47305 * 306.10393 * 8 5 4 43 43 H 1.09001 * 109.47282 * 59.99839 * 11 9 8 44 44 H 1.09000 * 109.47078 * 179.97438 * 11 9 8 45 45 H 1.08998 * 109.46987 * 299.99863 * 11 9 8 46 46 H 1.00895 * 111.00052 * 81.04816 * 12 9 8 47 47 H 1.09005 * 109.46944 * 299.99648 * 13 12 9 48 48 H 1.09001 * 109.47558 * 59.99388 * 13 12 9 49 49 H 1.08002 * 119.92772 * 0.02562 * 15 14 13 50 50 H 1.08004 * 119.97059 * 180.25544 * 16 15 14 51 51 H 1.08001 * 120.03801 * 179.77365 * 17 16 15 52 52 H 0.97008 * 119.99699 * 179.97438 * 23 22 20 53 53 H 1.08004 * 120.03139 * 359.94712 * 28 14 13 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 2.0399 1.4425 0.0000 4 6 2.0400 -0.7213 1.2492 5 6 1.6353 -2.1955 1.1879 6 1 0.5564 -2.2707 1.0526 7 6 2.3449 -2.8708 0.0126 8 6 2.0355 -2.8888 2.4917 9 6 1.2127 -2.3158 3.6474 10 1 1.3617 -1.2373 3.6998 11 6 1.6633 -2.9572 4.9614 12 7 -0.2106 -2.6032 3.4250 13 6 -1.0598 -1.6265 4.1198 14 6 -2.5095 -1.9533 3.8695 15 6 -3.1657 -1.3982 2.7858 16 6 -4.4944 -1.6993 2.5499 17 6 -5.1737 -2.5476 3.4025 18 6 -4.5192 -3.1023 4.4943 19 8 -5.1842 -3.9359 5.3344 20 6 -6.5057 -4.0949 5.1198 21 1 -6.9722 -3.6361 4.2606 22 6 -7.2658 -4.8474 6.0021 23 7 -6.6974 -5.4067 7.0484 24 14 -9.0967 -5.0682 5.7042 25 1 -9.3084 -5.7314 4.3925 26 1 -9.6757 -5.9091 6.7826 27 1 -9.7613 -3.7403 5.7006 28 6 -3.1830 -2.8020 4.7256 29 1 -0.3634 0.5137 0.8900 30 1 -0.3634 0.5138 -0.8899 31 1 -0.3633 -1.0277 -0.0005 32 1 1.8933 -0.5137 -0.8900 33 1 3.1300 1.4426 0.0005 34 1 1.6766 1.9564 -0.8899 35 1 1.6766 1.9563 0.8900 36 1 3.1263 -0.6443 1.2950 37 1 1.6054 -0.2617 2.1370 38 1 3.4212 -2.8624 0.1847 39 1 1.9992 -3.9005 -0.0775 40 1 2.1198 -2.3302 -0.9069 41 1 1.8465 -3.9590 2.4070 42 1 3.0955 -2.7210 2.6820 43 1 2.7194 -2.7439 5.1265 44 1 1.0775 -2.5486 5.7848 45 1 1.5143 -4.0357 4.9091 46 1 -0.4377 -3.5450 3.7070 47 1 -0.8583 -1.6664 5.1903 48 1 -0.8428 -0.6257 3.7464 49 1 -2.6378 -0.7315 2.1200 50 1 -5.0029 -1.2676 1.7005 51 1 -6.2126 -2.7796 3.2199 52 1 -7.2293 -5.9329 7.6659 53 1 -2.6710 -3.2322 5.5737 RHF calculation, no. of doubly occupied orbitals= 62 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 ZINC001342030412.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 12:46:45 Heat of formation + Delta-G solvation = -41.906356 kcal Electronic energy + Delta-G solvation = -27211.764995 eV Core-core repulsion = 23661.549695 eV Total energy + Delta-G solvation = -3550.215300 eV No. of doubly occupied orbitals = 62 Molecular weight (most abundant/longest-lived isotopes) = 319.225 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -39.16906 -38.59734 -37.00379 -36.02482 -33.54233 -32.27470 -31.57733 -29.42327 -28.56215 -27.24033 -26.96564 -26.42280 -25.42877 -24.32036 -21.59089 -21.32505 -20.80665 -20.42109 -19.27383 -17.62946 -16.97089 -15.88059 -15.45643 -15.10148 -15.09289 -14.78159 -14.40624 -14.19596 -14.15721 -13.75042 -13.65970 -13.54903 -13.17057 -13.12200 -12.63739 -12.55591 -12.42667 -12.38369 -12.28639 -12.01866 -11.80815 -11.63414 -11.53596 -11.43722 -11.23862 -11.20393 -11.11494 -10.92826 -10.75547 -10.62335 -10.58470 -10.40218 -10.26166 -10.18620 -10.13803 -9.31828 -8.81448 -8.30649 -7.99292 -7.19097 -6.42410 -4.01661 2.14701 2.43320 3.14372 3.15427 3.18050 3.98480 4.27831 4.62680 4.66057 4.74051 4.77468 4.89200 5.04935 5.10948 5.16847 5.21686 5.27292 5.33508 5.36677 5.38086 5.52711 5.54421 5.56659 5.60991 5.62421 5.75078 5.76634 5.81002 5.82652 5.84976 5.88858 5.93584 5.94298 5.99465 6.00776 6.04143 6.09241 6.21369 6.22557 6.25027 6.31276 6.36671 6.43841 6.64562 6.70068 6.94792 7.10085 7.17917 7.32415 7.42792 7.46667 7.56045 7.86605 8.02675 9.03506 9.74355 10.75823 Molecular weight = 319.23amu Principal moments of inertia in cm(-1) A = 0.018604 B = 0.002570 C = 0.002387 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1504.657503 B =10893.212611 C =11725.915187 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.098 4.098 3 C -0.147 4.147 4 C -0.107 4.107 5 C -0.090 4.090 6 H 0.094 0.906 7 C -0.149 4.149 8 C -0.100 4.100 9 C 0.080 3.920 10 H 0.077 0.923 11 C -0.185 4.185 12 N -0.673 5.673 13 C 0.107 3.893 14 C -0.045 4.045 15 C -0.187 4.187 16 C -0.078 4.078 17 C -0.232 4.232 18 C 0.153 3.847 19 O -0.181 6.181 20 C -0.391 4.391 21 H 0.091 0.909 22 C 0.039 3.961 23 N -0.865 5.865 24 Si 0.940 3.060 25 H -0.270 1.270 26 H -0.278 1.278 27 H -0.270 1.270 28 C -0.185 4.185 29 H 0.054 0.946 30 H 0.046 0.954 31 H 0.063 0.937 32 H 0.068 0.932 33 H 0.049 0.951 34 H 0.050 0.950 35 H 0.052 0.948 36 H 0.052 0.948 37 H 0.062 0.938 38 H 0.046 0.954 39 H 0.051 0.949 40 H 0.053 0.947 41 H 0.061 0.939 42 H 0.057 0.943 43 H 0.057 0.943 44 H 0.054 0.946 45 H 0.057 0.943 46 H 0.344 0.656 47 H 0.033 0.967 48 H 0.073 0.927 49 H 0.105 0.895 50 H 0.106 0.894 51 H 0.125 0.875 52 H 0.270 0.730 53 H 0.111 0.889 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 17.464 8.816 -10.971 22.430 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 -0.204 4.204 2 C -0.116 4.116 3 C -0.205 4.205 4 C -0.144 4.144 5 C -0.108 4.108 6 H 0.112 0.888 7 C -0.206 4.206 8 C -0.138 4.138 9 C -0.030 4.030 10 H 0.095 0.905 11 C -0.244 4.244 12 N -0.304 5.304 13 C -0.021 4.021 14 C -0.046 4.046 15 C -0.207 4.207 16 C -0.096 4.096 17 C -0.251 4.251 18 C 0.099 3.901 19 O -0.084 6.084 20 C -0.468 4.468 21 H 0.108 0.892 22 C -0.165 4.165 23 N -0.500 5.500 24 Si 0.764 3.236 25 H -0.195 1.195 26 H -0.203 1.203 27 H -0.195 1.195 28 C -0.205 4.205 29 H 0.073 0.927 30 H 0.065 0.935 31 H 0.082 0.918 32 H 0.086 0.914 33 H 0.069 0.931 34 H 0.069 0.931 35 H 0.071 0.929 36 H 0.071 0.929 37 H 0.081 0.919 38 H 0.065 0.935 39 H 0.070 0.930 40 H 0.072 0.928 41 H 0.079 0.921 42 H 0.076 0.924 43 H 0.076 0.924 44 H 0.073 0.927 45 H 0.076 0.924 46 H 0.163 0.837 47 H 0.051 0.949 48 H 0.091 0.909 49 H 0.123 0.877 50 H 0.124 0.876 51 H 0.142 0.858 52 H 0.079 0.921 53 H 0.129 0.871 Dipole moment (debyes) X Y Z Total from point charges 17.447 8.865 -11.169 22.533 hybrid contribution -0.896 -0.417 0.804 1.274 sum 16.551 8.448 -10.365 21.278 Atomic orbital electron populations 1.21865 0.94881 1.02433 1.01217 1.21164 0.96257 0.95543 0.98678 1.21851 1.00483 0.96592 1.01530 1.21695 0.99736 0.95406 0.97588 1.21140 1.02256 0.93710 0.93726 0.88763 1.21905 0.99890 1.00359 0.98454 1.21594 0.97997 0.99990 0.94203 1.21649 0.88448 0.99889 0.92993 0.90487 1.22532 1.01619 1.01472 0.98768 1.60617 1.02008 1.06693 1.61096 1.20797 0.89556 0.95939 0.95836 1.19173 0.93707 0.96769 0.94931 1.20397 0.94859 1.05718 0.99705 1.20740 0.94331 0.96764 0.97764 1.21181 1.01373 1.04373 0.98196 1.19306 0.91819 0.89166 0.89770 1.83974 1.22530 1.53806 1.48137 1.21258 0.80799 1.33664 1.11045 0.89209 1.25265 1.00197 0.96127 0.94909 1.70030 1.36547 1.31125 1.12344 0.85802 0.80676 0.78737 0.78335 1.19527 1.20313 1.19536 1.20026 0.93199 1.04673 1.02612 0.92735 0.93497 0.91798 0.91383 0.93148 0.93055 0.92856 0.92912 0.91943 0.93470 0.93032 0.92762 0.92060 0.92449 0.92427 0.92652 0.92371 0.83749 0.94921 0.90872 0.87668 0.87619 0.85758 0.92051 0.87065 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.40 8.95 37.16 0.33 -1.07 16 2 C -0.10 -0.84 2.79 -90.62 -0.25 -1.09 16 3 C -0.15 -1.15 9.19 37.16 0.34 -0.81 16 4 C -0.11 -0.93 4.03 -26.73 -0.11 -1.04 16 5 C -0.09 -0.84 2.19 -90.62 -0.20 -1.04 16 6 H 0.09 1.07 5.72 -51.93 -0.30 0.78 16 7 C -0.15 -1.29 9.05 37.16 0.34 -0.95 16 8 C -0.10 -0.93 4.36 -26.73 -0.12 -1.04 16 9 C 0.08 0.81 2.45 -67.71 -0.17 0.64 16 10 H 0.08 0.78 6.03 -51.93 -0.31 0.47 16 11 C -0.18 -1.80 9.16 37.16 0.34 -1.46 16 12 N -0.67 -8.28 5.50 -107.99 -0.59 -8.87 16 13 C 0.11 1.47 5.61 -4.98 -0.03 1.45 16 14 C -0.05 -0.79 5.39 -104.65 -0.56 -1.35 16 15 C -0.19 -3.24 9.70 -39.54 -0.38 -3.62 16 16 C -0.08 -1.44 10.04 -39.61 -0.40 -1.84 16 17 C -0.23 -5.09 9.17 -39.39 -0.36 -5.45 16 18 C 0.15 3.70 6.65 -39.11 -0.26 3.44 16 19 O -0.18 -5.19 9.76 0.05 0.00 -5.19 16 20 C -0.39 -11.02 9.49 30.89 0.29 -10.73 16 21 H 0.09 2.34 5.20 -52.49 -0.27 2.07 16 22 C 0.04 1.08 5.49 -17.52 -0.10 0.98 16 23 N -0.87 -25.54 13.67 55.48 0.76 -24.78 16 24 Si 0.94 20.67 29.55 -169.99 -5.02 15.64 16 25 H -0.27 -5.75 7.11 56.52 0.40 -5.35 16 26 H -0.28 -5.98 7.11 56.52 0.40 -5.57 16 27 H -0.27 -5.76 7.11 56.52 0.40 -5.36 16 28 C -0.19 -3.88 9.64 -39.40 -0.38 -4.26 16 29 H 0.05 0.55 8.14 -51.93 -0.42 0.12 16 30 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 31 H 0.06 0.67 6.46 -51.93 -0.34 0.34 16 32 H 0.07 0.58 6.26 -51.93 -0.33 0.25 16 33 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 34 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 35 H 0.05 0.43 8.14 -51.93 -0.42 0.00 16 36 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 37 H 0.06 0.59 6.33 -51.92 -0.33 0.26 16 38 H 0.05 0.38 8.14 -51.93 -0.42 -0.05 16 39 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 40 H 0.05 0.45 6.28 -51.93 -0.33 0.13 16 41 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 42 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 43 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 44 H 0.05 0.58 7.45 -51.93 -0.39 0.19 16 45 H 0.06 0.58 8.13 -51.93 -0.42 0.16 16 46 H 0.34 4.56 8.46 -39.29 -0.33 4.23 16 47 H 0.03 0.45 7.38 -51.93 -0.38 0.07 16 48 H 0.07 0.94 8.00 -51.93 -0.42 0.52 16 49 H 0.11 1.59 8.06 -52.49 -0.42 1.16 16 50 H 0.11 1.67 8.06 -52.48 -0.42 1.24 16 51 H 0.12 2.74 5.64 -52.49 -0.30 2.44 16 52 H 0.27 7.32 8.31 -40.82 -0.34 6.98 16 53 H 0.11 2.28 8.06 -52.48 -0.42 1.86 16 LS Contribution 412.56 15.07 6.22 6.22 Total: -1.00 -29.20 412.56 -9.80 -39.00 By element: Atomic # 1 Polarization: 16.71 SS G_CDS: -9.49 Total: 7.22 kcal Atomic # 6 Polarization: -27.58 SS G_CDS: -1.67 Total: -29.25 kcal Atomic # 7 Polarization: -33.82 SS G_CDS: 0.16 Total: -33.65 kcal Atomic # 8 Polarization: -5.19 SS G_CDS: 0.00 Total: -5.19 kcal Atomic # 14 Polarization: 20.67 SS G_CDS: -5.02 Total: 15.64 kcal Total LS contribution 6.22 Total: 6.22 kcal Total: -29.20 -9.80 -39.00 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. ZINC001342030412.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 -2.907 kcal (2) G-P(sol) polarization free energy of solvation -29.202 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -32.109 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.798 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.999 kcal (6) G-S(sol) free energy of system = (1) + (5) -41.906 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.90 seconds