Wall clock time and date at job start Sat Apr 11 2020 06:12:17 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 H 1.09001 * 110.06425 * 2 1 4 4 C 1.53988 * 109.91869 * 238.79266 * 2 1 3 5 5 H 1.08997 * 110.30974 * 358.43339 * 4 2 1 6 6 N 1.46496 * 110.31106 * 120.50580 * 4 2 1 7 7 C 1.34777 * 120.00271 * 205.00249 * 6 4 2 8 8 O 1.21278 * 119.99854 * 359.97438 * 7 6 4 9 9 C 1.50703 * 120.00161 * 179.97438 * 7 6 4 10 10 C 1.53000 * 109.46912 * 179.97438 * 9 7 6 11 11 C 1.52997 * 109.47060 * 179.97438 * 10 9 7 12 12 N 1.46894 * 109.47515 * 180.02562 * 11 10 9 13 13 C 1.46902 * 110.99947 * 66.04655 * 12 11 10 14 14 C 1.46898 * 111.00516 * 189.99788 * 12 11 10 15 15 C 1.54599 * 105.14102 * 239.42032 * 4 2 1 16 16 C 1.54942 * 102.92045 * 338.04290 * 15 4 2 17 17 N 1.47902 * 109.91713 * 121.20117 * 2 1 3 18 18 C 1.46906 * 111.00026 * 265.20011 * 17 2 1 19 19 C 1.50693 * 109.47188 * 170.00207 * 18 17 2 20 20 O 1.21299 * 120.00136 * 359.97438 * 19 18 17 21 21 N 1.34782 * 120.00034 * 180.02562 * 19 18 17 22 22 C 1.37098 * 120.00037 * 179.97438 * 21 19 18 23 23 H 1.08006 * 119.99959 * 359.97438 * 22 21 19 24 24 C 1.38946 * 119.99937 * 179.97438 * 22 21 19 25 25 N 1.31420 * 120.00023 * 180.02562 * 24 22 21 26 26 Si 1.86797 * 120.00264 * 359.97438 * 24 22 21 27 27 H 1.48503 * 109.46905 * 89.99768 * 26 24 22 28 28 H 1.48494 * 109.47607 * 210.00237 * 26 24 22 29 29 H 1.48505 * 109.46949 * 330.00103 * 26 24 22 30 30 H 1.09005 * 109.46908 * 181.20649 * 1 2 3 31 31 H 1.08999 * 109.47222 * 301.20453 * 1 2 3 32 32 H 1.09001 * 109.47265 * 61.20829 * 1 2 3 33 33 H 0.97005 * 120.00266 * 24.99666 * 6 4 2 34 34 H 1.09001 * 109.46980 * 59.99654 * 9 7 6 35 35 H 1.08992 * 109.47158 * 299.99760 * 9 7 6 36 36 H 1.09002 * 109.47398 * 300.00078 * 10 9 7 37 37 H 1.09001 * 109.47194 * 60.00258 * 10 9 7 38 38 H 1.09002 * 109.47153 * 300.00319 * 11 10 9 39 39 H 1.08998 * 109.47533 * 59.99948 * 11 10 9 40 40 H 1.08997 * 109.47044 * 59.99771 * 13 12 11 41 41 H 1.09001 * 109.47499 * 180.02562 * 13 12 11 42 42 H 1.09003 * 109.47124 * 299.99969 * 13 12 11 43 43 H 1.09002 * 109.46576 * 60.00106 * 14 12 11 44 44 H 1.09002 * 109.47680 * 179.97438 * 14 12 11 45 45 H 1.08997 * 109.47173 * 300.00378 * 14 12 11 46 46 H 1.08998 * 110.72241 * 96.39630 * 15 4 2 47 47 H 1.08995 * 110.72559 * 219.68811 * 15 4 2 48 48 H 1.09000 * 110.66479 * 278.98055 * 16 15 4 49 49 H 1.08998 * 110.81203 * 155.91162 * 16 15 4 50 50 H 1.09005 * 109.47080 * 290.00192 * 18 17 2 51 51 H 1.08995 * 109.47202 * 49.99810 * 18 17 2 52 52 H 0.97000 * 119.99841 * 359.97438 * 21 19 18 53 53 H 0.96998 * 119.99529 * 179.97438 * 25 24 22 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 1 1.9039 1.0239 0.0000 4 6 2.0546 -0.7501 -1.2383 5 1 1.2228 -1.1387 -1.8258 6 7 2.8835 0.1377 -2.0573 7 6 3.0280 -0.1015 -3.3758 8 8 2.4721 -1.0520 -3.8841 9 6 3.8803 0.8122 -4.2184 10 6 3.8767 0.3204 -5.6672 11 6 4.7414 1.2484 -6.5228 12 7 4.7376 0.7767 -7.9140 13 6 3.3996 0.8998 -8.5079 14 6 5.7375 1.4942 -8.7160 15 6 2.9059 -1.9117 -0.6761 16 6 3.2681 -1.4184 0.7474 17 7 2.0338 -0.7204 1.1894 18 6 2.3210 0.2125 2.2874 19 6 2.5937 -0.5653 3.5489 20 8 2.5523 -1.7775 3.5350 21 7 2.8825 0.0860 4.6930 22 6 3.1301 -0.6216 5.8409 23 1 3.0932 -1.7009 5.8285 24 6 3.4284 0.0499 7.0202 25 7 3.6662 -0.6284 8.1205 26 14 3.4928 1.9166 7.0416 27 1 2.1475 2.4546 7.3671 28 1 4.4674 2.3667 8.0675 29 1 3.9146 2.4126 5.7069 30 1 -0.3633 -1.0275 0.0216 31 1 -0.3633 0.5324 0.8790 32 1 -0.3634 0.4949 -0.9006 33 1 3.3284 0.8978 -1.6507 34 1 4.9014 0.8106 -3.8370 35 1 3.4785 1.8245 -4.1769 36 1 4.2787 -0.6919 -5.7084 37 1 2.8557 0.3217 -6.0488 38 1 4.3390 2.2605 -6.4816 39 1 5.7625 1.2476 -6.1414 40 1 3.0899 1.9447 -8.4922 41 1 3.4249 0.5433 -9.5376 42 1 2.6911 0.3022 -7.9343 43 1 6.7286 1.3288 -8.2936 44 1 5.7137 1.1252 -9.7414 45 1 5.5124 2.5607 -8.7079 46 1 2.3214 -2.8305 -0.6287 47 1 3.8053 -2.0557 -1.2748 48 1 4.1097 -0.7266 0.7122 49 1 3.4904 -2.2596 1.4039 50 1 3.1950 0.8130 2.0347 51 1 1.4631 0.8667 2.4421 52 1 2.9153 1.0554 4.7042 53 1 3.8747 -0.1596 8.9436 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 ZINC001264716677.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 06:12:17 Heat of formation + Delta-G solvation = -59.804933 kcal Electronic energy + Delta-G solvation = -29627.703225 eV Core-core repulsion = 25534.440381 eV Total energy + Delta-G solvation = -4093.262844 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.45609 -39.15083 -38.11338 -37.71044 -34.51213 -33.86525 -33.61931 -31.72117 -31.32558 -31.07528 -28.17906 -27.95733 -26.58085 -25.32136 -23.95117 -23.53732 -21.64781 -21.10337 -20.54247 -20.01995 -19.35835 -18.34574 -17.28941 -16.74049 -16.39724 -16.00292 -15.79075 -15.48337 -15.09950 -15.07932 -14.94079 -14.80070 -14.40227 -13.93223 -13.84252 -13.68597 -13.27820 -12.99699 -12.86693 -12.78902 -12.59611 -12.41223 -12.34428 -12.17566 -12.14476 -11.97790 -11.82452 -11.67217 -11.63143 -11.38719 -11.30357 -11.25523 -10.99891 -10.92166 -10.78270 -10.61033 -10.02491 -9.98132 -9.56273 -9.22907 -8.82454 -8.63673 -8.18783 -8.10112 -6.31234 -3.82583 2.42273 2.86277 3.00149 3.05190 3.13468 3.51684 3.73569 3.92099 4.09351 4.32593 4.41770 4.50888 4.60586 4.64667 4.71883 4.82099 4.87833 4.94134 4.99968 5.00597 5.13779 5.15532 5.19491 5.20798 5.23191 5.24166 5.33099 5.40915 5.41252 5.51055 5.52118 5.57058 5.71477 5.75204 5.77784 5.85644 5.90006 5.92928 5.96992 6.09085 6.22496 6.33082 6.39151 6.54995 6.57180 7.04661 7.08671 7.25651 7.58229 8.00848 8.14394 8.60333 8.95497 9.42357 9.83887 10.82009 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.020717 B = 0.001764 C = 0.001705 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1351.211801 B =15866.703335 C =16418.848679 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C 0.056 3.944 3 H 0.054 0.946 4 C 0.137 3.863 5 H 0.101 0.899 6 N -0.725 5.725 7 C 0.513 3.487 8 O -0.537 6.537 9 C -0.140 4.140 10 C -0.101 4.101 11 C 0.054 3.946 12 N -0.548 5.548 13 C 0.020 3.980 14 C 0.024 3.976 15 C -0.130 4.130 16 C 0.040 3.960 17 N -0.484 5.484 18 C 0.035 3.965 19 C 0.455 3.545 20 O -0.556 6.556 21 N -0.593 5.593 22 C -0.304 4.304 23 H 0.120 0.880 24 C 0.041 3.959 25 N -0.882 5.882 26 Si 0.880 3.120 27 H -0.271 1.271 28 H -0.277 1.277 29 H -0.271 1.271 30 H 0.068 0.932 31 H 0.059 0.941 32 H 0.055 0.945 33 H 0.398 0.602 34 H 0.094 0.906 35 H 0.091 0.909 36 H 0.080 0.920 37 H 0.071 0.929 38 H 0.034 0.966 39 H 0.075 0.925 40 H 0.024 0.976 41 H 0.067 0.933 42 H 0.074 0.926 43 H 0.068 0.932 44 H 0.068 0.932 45 H 0.024 0.976 46 H 0.084 0.916 47 H 0.072 0.928 48 H 0.037 0.963 49 H 0.101 0.899 50 H 0.049 0.951 51 H 0.089 0.911 52 H 0.369 0.631 53 H 0.273 0.727 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.014 10.597 -29.660 31.513 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 -0.191 4.191 2 C -0.054 4.054 3 H 0.072 0.928 4 C 0.032 3.968 5 H 0.119 0.881 6 N -0.377 5.377 7 C 0.300 3.700 8 O -0.413 6.413 9 C -0.181 4.181 10 C -0.139 4.139 11 C -0.074 4.074 12 N -0.272 5.272 13 C -0.129 4.129 14 C -0.124 4.124 15 C -0.169 4.169 16 C -0.087 4.087 17 N -0.209 5.209 18 C -0.097 4.097 19 C 0.240 3.760 20 O -0.437 6.437 21 N -0.233 5.233 22 C -0.432 4.432 23 H 0.137 0.863 24 C -0.162 4.162 25 N -0.522 5.522 26 Si 0.706 3.294 27 H -0.196 1.196 28 H -0.202 1.202 29 H -0.196 1.196 30 H 0.087 0.913 31 H 0.078 0.922 32 H 0.073 0.927 33 H 0.232 0.768 34 H 0.112 0.888 35 H 0.109 0.891 36 H 0.098 0.902 37 H 0.089 0.911 38 H 0.052 0.948 39 H 0.094 0.906 40 H 0.043 0.957 41 H 0.086 0.914 42 H 0.093 0.907 43 H 0.087 0.913 44 H 0.087 0.913 45 H 0.043 0.957 46 H 0.103 0.897 47 H 0.091 0.909 48 H 0.056 0.944 49 H 0.119 0.881 50 H 0.067 0.933 51 H 0.107 0.893 52 H 0.202 0.798 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges 0.370 8.207 -29.603 30.722 hybrid contribution 0.787 3.541 0.331 3.642 sum 1.157 11.747 -29.272 31.562 Atomic orbital electron populations 1.21718 0.93090 1.03077 1.01237 1.22661 0.97141 0.95966 0.89595 0.92760 1.21898 0.93800 0.90105 0.91013 0.88111 1.46236 1.51515 1.31302 1.08679 1.20663 0.81419 0.85805 0.82131 1.90721 1.47826 1.30372 1.72403 1.21641 1.00840 0.99599 0.96027 1.21329 1.00871 1.00264 0.91482 1.22176 1.00664 0.96302 0.88289 1.61935 1.06313 1.56653 1.02269 1.22466 0.90302 0.99747 1.00336 1.22389 0.95919 0.95772 0.98358 1.22903 1.00010 0.98373 0.95627 1.23311 0.90308 0.99531 0.95550 1.64457 1.27682 1.24708 1.04054 1.22100 1.00694 0.94482 0.92430 1.19581 0.83819 0.88574 0.84038 1.90560 1.54693 1.13553 1.84928 1.42205 1.64203 1.07608 1.09288 1.19425 1.44540 0.94815 0.84450 0.86278 1.25029 0.97622 0.98349 0.95171 1.69625 1.46835 1.35678 1.00076 0.86677 0.78887 0.85559 0.78255 1.19635 1.20222 1.19634 0.91336 0.92165 0.92651 0.76793 0.88758 0.89062 0.90154 0.91067 0.94813 0.90645 0.95699 0.91411 0.90732 0.91286 0.91305 0.95728 0.89714 0.90914 0.94450 0.88082 0.93258 0.89282 0.79828 0.91649 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.13 -1.45 9.32 37.16 0.35 -1.10 16 2 C 0.06 0.64 2.83 -66.65 -0.19 0.45 16 3 H 0.05 0.54 7.26 -51.93 -0.38 0.16 16 4 C 0.14 1.52 2.98 -66.58 -0.20 1.32 16 5 H 0.10 1.24 7.10 -51.93 -0.37 0.87 16 6 N -0.73 -6.42 5.06 -52.50 -0.27 -6.69 16 7 C 0.51 5.05 7.83 -10.98 -0.09 4.96 16 8 O -0.54 -7.49 15.63 5.56 0.09 -7.40 16 9 C -0.14 -0.88 5.70 -27.88 -0.16 -1.04 16 10 C -0.10 -0.76 4.43 -26.73 -0.12 -0.88 16 11 C 0.05 0.34 4.96 -3.83 -0.02 0.32 16 12 N -0.55 -3.97 5.02 -251.27 -1.26 -5.23 16 13 C 0.02 0.13 9.32 60.07 0.56 0.69 16 14 C 0.02 0.13 9.57 60.06 0.57 0.71 16 15 C -0.13 -1.64 6.78 -24.87 -0.17 -1.80 16 16 C 0.04 0.60 5.94 -1.89 -0.01 0.59 16 17 N -0.48 -7.38 4.54 -224.00 -1.02 -8.40 16 18 C 0.03 0.56 5.19 -4.98 -0.03 0.53 16 19 C 0.45 10.14 7.61 -10.99 -0.08 10.05 16 20 O -0.56 -14.71 14.64 5.54 0.08 -14.63 16 21 N -0.59 -13.93 5.09 -10.96 -0.06 -13.98 16 22 C -0.30 -8.52 10.16 -14.93 -0.15 -8.67 16 23 H 0.12 3.83 7.39 -52.48 -0.39 3.45 16 24 C 0.04 1.12 5.50 -17.47 -0.10 1.02 16 25 N -0.88 -25.67 13.96 55.50 0.77 -24.89 16 26 Si 0.88 19.15 27.73 -169.99 -4.71 14.44 16 27 H -0.27 -5.79 7.11 56.52 0.40 -5.39 16 28 H -0.28 -6.06 7.11 56.52 0.40 -5.66 16 29 H -0.27 -5.33 6.52 56.52 0.37 -4.97 16 30 H 0.07 0.82 8.14 -51.93 -0.42 0.39 16 31 H 0.06 0.67 8.14 -51.93 -0.42 0.24 16 32 H 0.05 0.51 8.14 -51.93 -0.42 0.08 16 33 H 0.40 2.59 8.33 -40.82 -0.34 2.25 16 34 H 0.09 0.45 8.14 -51.93 -0.42 0.03 16 35 H 0.09 0.41 8.14 -51.93 -0.42 -0.02 16 36 H 0.08 0.76 8.10 -51.93 -0.42 0.34 16 37 H 0.07 0.61 6.51 -51.93 -0.34 0.27 16 38 H 0.03 0.20 8.12 -51.93 -0.42 -0.23 16 39 H 0.08 0.43 8.06 -51.93 -0.42 0.01 16 40 H 0.02 0.14 8.14 -51.93 -0.42 -0.28 16 41 H 0.07 0.38 8.12 -51.93 -0.42 -0.04 16 42 H 0.07 0.51 6.47 -51.93 -0.34 0.17 16 43 H 0.07 0.35 8.12 -51.93 -0.42 -0.07 16 44 H 0.07 0.34 8.12 -51.93 -0.42 -0.08 16 45 H 0.02 0.12 8.14 -51.93 -0.42 -0.30 16 46 H 0.08 1.12 8.14 -51.93 -0.42 0.70 16 47 H 0.07 0.88 8.05 -51.93 -0.42 0.46 16 48 H 0.04 0.51 7.81 -51.93 -0.41 0.11 16 49 H 0.10 1.83 7.10 -51.93 -0.37 1.46 16 50 H 0.05 0.69 7.83 -51.93 -0.41 0.28 16 51 H 0.09 1.26 8.08 -51.93 -0.42 0.84 16 52 H 0.37 7.58 5.76 -40.82 -0.24 7.35 16 53 H 0.27 7.33 8.31 -40.82 -0.34 6.99 16 LS Contribution 420.30 15.07 6.33 6.33 Total: -1.00 -34.53 420.30 -9.34 -43.87 By element: Atomic # 1 Polarization: 18.91 SS G_CDS: -9.48 Total: 9.43 kcal Atomic # 6 Polarization: 6.97 SS G_CDS: 0.17 Total: 7.14 kcal Atomic # 7 Polarization: -57.36 SS G_CDS: -1.82 Total: -59.18 kcal Atomic # 8 Polarization: -22.20 SS G_CDS: 0.17 Total: -22.03 kcal Atomic # 14 Polarization: 19.15 SS G_CDS: -4.71 Total: 14.44 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -34.53 -9.34 -43.87 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. ZINC001264716677.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 -15.939 kcal (2) G-P(sol) polarization free energy of solvation -34.526 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.465 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.340 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.866 kcal (6) G-S(sol) free energy of system = (1) + (5) -59.805 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds