Wall clock time and date at job start Sat Apr 11 2020 06:11:10 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 1.53004 * 1 3 3 C 1.53005 * 109.46935 * 2 1 4 4 N 1.46900 * 109.47021 * 119.99820 * 2 1 3 5 5 C 1.46897 * 111.00136 * 306.05018 * 4 2 1 6 6 C 1.46900 * 110.99877 * 70.00562 * 4 2 1 7 7 C 1.50696 * 109.47072 * 170.00231 * 6 4 2 8 8 O 1.21278 * 120.00098 * 359.97438 * 7 6 4 9 9 N 1.34776 * 119.99810 * 180.02562 * 7 6 4 10 10 C 1.46506 * 119.99826 * 179.97438 * 9 7 6 11 11 C 1.53119 * 109.51978 * 204.99618 * 10 9 7 12 12 C 1.53039 * 109.27478 * 182.37658 * 11 10 9 13 13 N 1.46852 * 109.52336 * 59.18093 * 12 11 10 14 14 C 1.46900 * 111.00118 * 174.15791 * 13 12 11 15 15 C 1.50697 * 109.47237 * 293.61170 * 14 13 12 16 16 O 1.21294 * 119.99957 * 353.73088 * 15 14 13 17 17 N 1.34777 * 120.00218 * 173.72893 * 15 14 13 18 18 C 1.37099 * 120.00043 * 179.97438 * 17 15 14 19 19 H 1.07997 * 119.99929 * 0.02562 * 18 17 15 20 20 C 1.38955 * 119.99738 * 180.02562 * 18 17 15 21 21 N 1.31412 * 120.00132 * 0.02562 * 20 18 17 22 22 Si 1.86794 * 119.99888 * 180.02562 * 20 18 17 23 23 H 1.48508 * 109.47281 * 0.02562 * 22 20 18 24 24 H 1.48500 * 109.47325 * 120.00225 * 22 20 18 25 25 H 1.48503 * 109.47321 * 240.00026 * 22 20 18 26 26 C 1.46845 * 111.19897 * 298.25829 * 13 12 11 27 27 C 1.53038 * 109.52423 * 61.74130 * 26 13 12 28 28 H 1.09001 * 109.46911 * 60.00137 * 1 2 3 29 29 H 1.09003 * 109.46721 * 179.97438 * 1 2 3 30 30 H 1.09004 * 109.46928 * 299.99889 * 1 2 3 31 31 H 1.08996 * 109.46887 * 240.00458 * 2 1 3 32 32 H 1.08997 * 109.47360 * 179.97438 * 3 2 1 33 33 H 1.08996 * 109.46798 * 300.00251 * 3 2 1 34 34 H 1.09004 * 109.46888 * 59.99861 * 3 2 1 35 35 H 1.09000 * 109.47127 * 183.95691 * 5 4 2 36 36 H 1.09005 * 109.47125 * 303.95133 * 5 4 2 37 37 H 1.09001 * 109.47637 * 63.95131 * 5 4 2 38 38 H 1.09000 * 109.47319 * 49.99382 * 6 4 2 39 39 H 1.09009 * 109.46912 * 289.99591 * 6 4 2 40 40 H 0.97000 * 120.00090 * 359.97438 * 9 7 6 41 41 H 1.08994 * 109.52080 * 325.12579 * 10 9 7 42 42 H 1.08998 * 109.50519 * 62.44346 * 11 10 9 43 43 H 1.08998 * 109.50523 * 302.31571 * 11 10 9 44 44 H 1.08994 * 109.46299 * 299.16822 * 12 11 10 45 45 H 1.09003 * 109.45395 * 179.18930 * 12 11 10 46 46 H 1.08996 * 109.46919 * 173.61386 * 14 13 12 47 47 H 1.08994 * 109.47139 * 53.61230 * 14 13 12 48 48 H 0.97002 * 119.99804 * 0.02562 * 17 15 14 49 49 H 0.96995 * 120.00108 * 179.97438 * 21 20 18 50 50 H 1.08998 * 109.46555 * 181.75400 * 26 13 12 51 51 H 1.09004 * 109.46392 * 301.72721 * 26 13 12 52 52 H 1.08998 * 109.50374 * 180.88473 * 27 26 13 53 53 H 1.09001 * 109.50604 * 60.76106 * 27 26 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 2.0400 1.4426 0.0000 4 7 2.0197 -0.6925 1.1995 5 6 1.4343 -0.1149 2.4167 6 6 1.7530 -2.1349 1.1203 7 6 2.4774 -2.8416 2.2368 8 8 3.1500 -2.2064 3.0210 9 7 2.3787 -4.1798 2.3633 10 6 3.0834 -4.8670 3.4485 11 6 3.3424 -6.3224 3.0494 12 6 4.0254 -7.0504 4.2094 13 7 3.1647 -6.9958 5.3979 14 6 3.7245 -7.8021 6.4908 15 6 3.6983 -9.2586 6.1049 16 8 3.1548 -9.6039 5.0770 17 7 4.2789 -10.1775 6.9018 18 6 4.2547 -11.5026 6.5509 19 1 3.7707 -11.8100 5.6357 20 6 4.8528 -12.4499 7.3728 21 7 5.4413 -12.0758 8.4867 22 14 4.8204 -14.2553 6.8944 23 1 4.1024 -14.4127 5.6040 24 1 6.2116 -14.7543 6.7503 25 1 4.1219 -15.0342 7.9483 26 6 2.9405 -5.6097 5.8280 27 6 2.2252 -4.8387 4.7163 28 1 -0.3633 0.5138 -0.8900 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3633 0.5138 0.8900 31 1 1.8933 -0.5137 -0.8900 32 1 3.1300 1.4426 0.0005 33 1 1.6766 1.9563 -0.8899 34 1 1.6766 1.9564 0.8900 35 1 1.8664 -0.5987 3.2926 36 1 1.6466 0.9538 2.4502 37 1 0.3555 -0.2710 2.4105 38 1 2.1026 -2.5169 0.1612 39 1 0.6814 -2.3119 1.2132 40 1 1.8410 -4.6879 1.7359 41 1 4.0329 -4.3672 3.6401 42 1 3.9885 -6.3496 2.1719 43 1 2.3954 -6.8110 2.8202 44 1 4.9787 -6.5697 4.4290 45 1 4.1983 -8.0907 3.9336 46 1 3.1301 -7.6545 7.3925 47 1 4.7530 -7.4946 6.6793 48 1 4.7133 -9.9013 7.7240 49 1 5.8585 -12.7372 9.0606 50 1 2.3255 -5.6036 6.7278 51 1 3.8989 -5.1357 6.0399 52 1 2.0730 -3.8058 5.0296 53 1 1.2606 -5.3039 4.5133 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 ZINC001230374142.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 06:11:10 Heat of formation + Delta-G solvation = -61.074292 kcal Electronic energy + Delta-G solvation = -29937.663146 eV Core-core repulsion = 25844.345258 eV Total energy + Delta-G solvation = -4093.317888 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.01 seconds Orbital eigenvalues (eV) -40.37990 -39.17779 -38.24436 -37.37362 -34.95055 -33.83839 -32.44685 -31.64547 -31.13114 -30.72258 -28.60578 -27.59388 -26.99012 -25.37350 -24.35171 -23.14013 -22.50914 -20.60413 -20.13065 -19.71950 -19.15361 -17.84798 -17.37681 -16.78768 -16.07152 -15.90202 -15.82078 -15.37382 -14.95552 -14.80789 -14.69623 -14.51803 -14.06819 -13.85390 -13.78388 -13.67240 -13.46080 -13.30425 -13.24379 -12.99215 -12.44574 -12.31398 -12.26979 -11.94447 -11.86267 -11.75956 -11.59885 -11.55596 -11.43708 -11.24428 -11.14566 -11.09196 -11.04581 -10.72677 -10.40516 -10.33839 -10.21576 -9.84137 -9.47371 -9.11550 -8.61417 -8.42195 -7.96045 -7.83778 -6.40757 -3.81462 2.50614 2.83739 3.16663 3.27188 3.34103 3.66831 3.92671 3.99991 4.25284 4.41562 4.47396 4.64315 4.74917 4.81357 4.83530 4.88595 4.94897 5.09349 5.10830 5.15269 5.21313 5.25559 5.26353 5.32357 5.33297 5.46566 5.48453 5.50812 5.53899 5.67233 5.69430 5.72061 5.81667 5.83144 5.88247 5.94749 6.02597 6.03176 6.14708 6.25337 6.32548 6.42047 6.45794 6.59938 6.72497 7.29226 7.39011 7.43773 7.56208 8.07954 8.12890 8.63297 9.19427 9.56273 10.08069 10.77113 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.039823 B = 0.001650 C = 0.001619 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 702.943088 B =16965.228868 C =17291.721832 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.189 4.189 2 C 0.074 3.926 3 C -0.143 4.143 4 N -0.517 5.517 5 C 0.013 3.987 6 C 0.034 3.966 7 C 0.513 3.487 8 O -0.523 6.523 9 N -0.727 5.727 10 C 0.145 3.855 11 C -0.118 4.118 12 C 0.059 3.941 13 N -0.515 5.515 14 C 0.046 3.954 15 C 0.444 3.556 16 O -0.577 6.577 17 N -0.566 5.566 18 C -0.298 4.298 19 H 0.103 0.897 20 C 0.022 3.978 21 N -0.902 5.902 22 Si 0.929 3.071 23 H -0.268 1.268 24 H -0.282 1.282 25 H -0.282 1.282 26 C 0.058 3.942 27 C -0.121 4.121 28 H 0.062 0.938 29 H 0.054 0.946 30 H 0.061 0.939 31 H 0.082 0.918 32 H 0.064 0.936 33 H 0.059 0.941 34 H 0.056 0.944 35 H 0.087 0.913 36 H 0.069 0.931 37 H 0.024 0.976 38 H 0.102 0.898 39 H 0.064 0.936 40 H 0.399 0.601 41 H 0.084 0.916 42 H 0.069 0.931 43 H 0.079 0.921 44 H 0.025 0.975 45 H 0.102 0.898 46 H 0.089 0.911 47 H 0.047 0.953 48 H 0.392 0.608 49 H 0.271 0.729 50 H 0.076 0.924 51 H 0.032 0.968 52 H 0.067 0.933 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.904 23.591 -13.794 28.448 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 -0.248 4.248 2 C -0.034 4.034 3 C -0.201 4.201 4 N -0.241 5.241 5 C -0.134 4.134 6 C -0.098 4.098 7 C 0.298 3.702 8 O -0.398 6.398 9 N -0.378 5.378 10 C 0.041 3.959 11 C -0.156 4.156 12 C -0.069 4.069 13 N -0.240 5.240 14 C -0.085 4.085 15 C 0.229 3.771 16 O -0.461 6.461 17 N -0.202 5.202 18 C -0.428 4.428 19 H 0.121 0.879 20 C -0.180 4.180 21 N -0.543 5.543 22 Si 0.756 3.244 23 H -0.192 1.192 24 H -0.208 1.208 25 H -0.208 1.208 26 C -0.071 4.071 27 C -0.160 4.160 28 H 0.081 0.919 29 H 0.073 0.927 30 H 0.080 0.920 31 H 0.100 0.900 32 H 0.083 0.917 33 H 0.078 0.922 34 H 0.075 0.925 35 H 0.106 0.894 36 H 0.088 0.912 37 H 0.042 0.958 38 H 0.120 0.880 39 H 0.082 0.918 40 H 0.233 0.767 41 H 0.102 0.898 42 H 0.087 0.913 43 H 0.097 0.903 44 H 0.044 0.956 45 H 0.120 0.880 46 H 0.107 0.893 47 H 0.065 0.935 48 H 0.225 0.775 49 H 0.080 0.920 50 H 0.095 0.905 51 H 0.050 0.950 52 H 0.086 0.914 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -7.611 23.584 -13.880 28.404 hybrid contribution -0.137 -0.829 0.314 0.896 sum -7.748 22.755 -13.566 27.602 Atomic orbital electron populations 1.22516 0.97528 1.02038 1.02706 1.21778 0.92692 0.95922 0.93003 1.21828 1.02098 0.94495 1.01639 1.61907 1.58805 1.00712 1.02652 1.22627 0.96532 1.00827 0.93457 1.22004 0.99003 0.89979 0.98784 1.20491 0.81563 0.82172 0.85933 1.90674 1.39895 1.65379 1.43866 1.46120 1.52066 1.07193 1.32460 1.21089 0.95806 0.92755 0.86266 1.21822 1.02380 0.93104 0.98328 1.22112 0.92523 1.02589 0.89702 1.61522 1.48508 1.08990 1.04988 1.21845 0.98505 0.93762 0.94413 1.19759 0.84392 0.86534 0.86393 1.90496 1.48219 1.81110 1.26277 1.41894 1.49591 1.06686 1.22071 1.19745 1.33780 0.81627 1.07609 0.87870 1.25256 0.96711 1.00544 0.95468 1.69620 1.37054 1.35239 1.12417 0.85810 0.77883 0.82012 0.78683 1.19247 1.20813 1.20781 1.22050 0.99083 0.88275 0.97684 1.21918 0.99721 0.99815 0.94549 0.91898 0.92658 0.92000 0.89966 0.91679 0.92234 0.92474 0.89412 0.91243 0.95759 0.88001 0.91839 0.76717 0.89799 0.91251 0.90271 0.95649 0.87980 0.89263 0.93530 0.77513 0.91955 0.90544 0.95012 0.91441 0.90873 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 -0.19 -1.02 8.44 37.16 0.31 -0.71 16 2 C 0.07 0.48 2.92 -67.71 -0.20 0.28 16 3 C -0.14 -0.87 9.12 37.16 0.34 -0.53 16 4 N -0.52 -4.50 4.45 -236.32 -1.05 -5.55 16 5 C 0.01 0.12 8.33 60.06 0.50 0.62 16 6 C 0.03 0.26 5.02 -4.98 -0.02 0.23 16 7 C 0.51 5.44 7.52 -10.99 -0.08 5.36 16 8 O -0.52 -7.57 13.97 5.56 0.08 -7.49 16 9 N -0.73 -6.82 5.08 -53.68 -0.27 -7.09 16 10 C 0.15 1.69 2.52 -67.80 -0.17 1.52 16 11 C -0.12 -1.47 5.57 -26.65 -0.15 -1.61 16 12 C 0.06 0.93 5.12 -3.83 -0.02 0.91 16 13 N -0.52 -8.47 4.35 -236.12 -1.03 -9.49 16 14 C 0.05 0.82 5.45 -4.98 -0.03 0.80 16 15 C 0.44 10.35 7.31 -10.99 -0.08 10.27 16 16 O -0.58 -15.24 14.29 5.55 0.08 -15.16 16 17 N -0.57 -14.24 5.29 -10.96 -0.06 -14.30 16 18 C -0.30 -8.25 9.68 -14.93 -0.14 -8.40 16 19 H 0.10 2.99 7.16 -52.49 -0.38 2.62 16 20 C 0.02 0.58 5.50 -17.47 -0.10 0.48 16 21 N -0.90 -24.51 13.05 55.50 0.72 -23.78 16 22 Si 0.93 20.97 29.55 -169.99 -5.02 15.94 16 23 H -0.27 -6.04 7.11 56.52 0.40 -5.64 16 24 H -0.28 -6.27 7.11 56.52 0.40 -5.87 16 25 H -0.28 -6.28 7.11 56.52 0.40 -5.87 16 26 C 0.06 0.77 5.46 -3.83 -0.02 0.75 16 27 C -0.12 -1.46 5.68 -26.65 -0.15 -1.61 16 28 H 0.06 0.29 8.14 -51.93 -0.42 -0.13 16 29 H 0.05 0.29 6.91 -51.93 -0.36 -0.07 16 30 H 0.06 0.36 6.42 -51.93 -0.33 0.03 16 31 H 0.08 0.49 7.93 -51.93 -0.41 0.08 16 32 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 33 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 34 H 0.06 0.35 6.47 -51.93 -0.34 0.02 16 35 H 0.09 0.99 5.88 -51.93 -0.31 0.68 16 36 H 0.07 0.56 6.30 -51.93 -0.33 0.23 16 37 H 0.02 0.19 6.46 -51.93 -0.34 -0.15 16 38 H 0.10 0.61 7.93 -51.93 -0.41 0.19 16 39 H 0.06 0.40 7.06 -51.92 -0.37 0.03 16 40 H 0.40 2.73 8.61 -40.82 -0.35 2.38 16 41 H 0.08 1.13 7.58 -51.93 -0.39 0.74 16 42 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 43 H 0.08 1.02 8.14 -51.93 -0.42 0.60 16 44 H 0.03 0.38 8.14 -51.93 -0.42 -0.04 16 45 H 0.10 1.95 6.06 -51.93 -0.31 1.63 16 46 H 0.09 1.45 7.98 -51.93 -0.41 1.04 16 47 H 0.05 0.77 8.12 -51.93 -0.42 0.35 16 48 H 0.39 9.48 7.90 -40.82 -0.32 9.16 16 49 H 0.27 6.95 8.31 -40.82 -0.34 6.61 16 50 H 0.08 0.96 8.01 -51.93 -0.42 0.54 16 51 H 0.03 0.42 8.14 -51.93 -0.42 -0.01 16 52 H 0.07 0.82 8.14 -51.93 -0.42 0.40 16 53 H 0.07 0.90 8.14 -51.93 -0.42 0.47 16 LS Contribution 409.33 15.07 6.17 6.17 Total: -1.00 -32.63 409.33 -9.53 -42.16 By element: Atomic # 1 Polarization: 19.38 SS G_CDS: -9.13 Total: 10.24 kcal Atomic # 6 Polarization: 8.37 SS G_CDS: -0.01 Total: 8.36 kcal Atomic # 7 Polarization: -58.53 SS G_CDS: -1.68 Total: -60.21 kcal Atomic # 8 Polarization: -22.81 SS G_CDS: 0.16 Total: -22.66 kcal Atomic # 14 Polarization: 20.97 SS G_CDS: -5.02 Total: 15.94 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -32.63 -9.53 -42.16 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. ZINC001230374142.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 -18.915 kcal (2) G-P(sol) polarization free energy of solvation -32.631 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -51.546 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.529 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.159 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.074 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.01 seconds