Wall clock time and date at job start Sat Apr 11 2020 06:13:37 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 O 1.42896 * 1 3 3 C 1.42904 * 114.00240 * 2 1 4 4 C 1.53004 * 109.47133 * 180.02562 * 3 2 1 5 5 C 1.50704 * 109.54269 * 65.42399 * 4 3 2 6 6 O 1.21281 * 119.99428 * 239.22948 * 5 4 3 7 7 N 1.34771 * 119.99984 * 59.22852 * 5 4 3 8 8 C 1.46925 * 120.63184 * 4.67648 * 7 5 4 9 9 C 1.52758 * 109.01121 * 233.58111 * 8 7 5 10 10 C 1.53043 * 109.38481 * 305.59423 * 9 8 7 11 11 C 1.53032 * 109.53948 * 61.23646 * 10 9 8 12 12 H 1.08999 * 109.50184 * 58.58532 * 11 10 9 13 13 N 1.46493 * 109.49900 * 178.68542 * 11 10 9 14 14 C 1.46501 * 120.00000 * 59.83495 * 13 11 10 15 15 C 1.36937 * 120.00227 * 239.83916 * 13 11 10 16 16 H 1.07996 * 120.00149 * 17.15237 * 15 13 11 17 17 C 1.38816 * 120.00146 * 197.15508 * 15 13 11 18 18 N 1.31616 * 119.99707 * 19.80913 * 17 15 13 19 19 Si 1.86806 * 120.00012 * 199.80442 * 17 15 13 20 20 H 1.48495 * 109.46961 * 0.02562 * 19 17 15 21 21 H 1.48499 * 109.46968 * 120.00004 * 19 17 15 22 22 H 1.48500 * 109.46990 * 239.99929 * 19 17 15 23 23 C 1.46928 * 120.63122 * 184.95902 * 7 5 4 24 24 C 1.53181 * 109.53760 * 185.59775 * 4 3 2 25 25 C 1.53092 * 109.15766 * 176.84600 * 24 4 3 26 26 O 1.42900 * 109.41990 * 302.39381 * 25 24 4 27 27 C 1.42899 * 114.09869 * 61.15472 * 26 25 24 28 28 C 1.53093 * 109.41930 * 298.84789 * 27 26 25 29 29 H 1.09001 * 109.47117 * 180.02562 * 1 2 3 30 30 H 1.09002 * 109.47231 * 299.99876 * 1 2 3 31 31 H 1.09005 * 109.47071 * 60.00008 * 1 2 3 32 32 H 1.09001 * 109.47189 * 59.99746 * 3 2 1 33 33 H 1.08999 * 109.46843 * 299.99973 * 3 2 1 34 34 H 1.08997 * 109.58814 * 353.42241 * 8 7 5 35 35 H 1.09012 * 109.58617 * 113.84697 * 8 7 5 36 36 H 1.09000 * 109.56845 * 185.55124 * 9 8 7 37 37 H 1.09010 * 109.38428 * 65.51726 * 9 8 7 38 38 H 1.08999 * 109.45892 * 301.21103 * 10 9 8 39 39 H 1.09004 * 109.45883 * 181.26049 * 10 9 8 40 40 H 1.09003 * 109.46951 * 90.32311 * 14 13 11 41 41 H 1.09006 * 109.47537 * 210.31634 * 14 13 11 42 42 H 1.08994 * 109.47399 * 330.32082 * 14 13 11 43 43 H 0.97008 * 119.99824 * 180.02562 * 18 17 15 44 44 H 1.09004 * 109.58544 * 246.15891 * 23 7 5 45 45 H 1.09004 * 109.58604 * 6.57966 * 23 7 5 46 46 H 1.08999 * 109.52365 * 56.94993 * 24 4 3 47 47 H 1.08995 * 109.58011 * 296.78413 * 24 4 3 48 48 H 1.09001 * 109.48137 * 62.37683 * 25 24 4 49 49 H 1.09001 * 109.48311 * 182.41081 * 25 24 4 50 50 H 1.08995 * 109.48447 * 178.86303 * 27 26 25 51 51 H 1.09008 * 109.48753 * 58.83479 * 27 26 25 52 52 H 1.09004 * 109.52048 * 297.70466 * 28 27 26 53 53 H 1.08994 * 109.52415 * 177.51059 * 28 27 26 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3055 0.0000 4 6 3.5355 1.1846 -0.0006 5 6 3.9909 0.5562 -1.2925 6 8 4.6202 -0.4804 -1.2737 7 7 3.6987 1.1461 -2.4685 8 6 3.0271 2.4524 -2.5044 9 6 1.7823 2.3479 -3.3836 10 6 2.1762 1.8052 -4.7593 11 6 2.7790 0.4072 -4.6046 12 1 2.0536 -0.2510 -4.1266 13 7 3.1268 -0.1241 -5.9247 14 6 4.0886 0.5872 -6.7705 15 6 2.5530 -1.2857 -6.3682 16 1 1.6594 -1.6623 -5.8929 17 6 3.1198 -1.9791 -7.4288 18 7 4.3773 -1.7685 -7.7557 19 14 2.0980 -3.2111 -8.3920 20 1 0.7249 -3.2627 -7.8292 21 1 2.0335 -2.7949 -9.8160 22 1 2.7234 -4.5546 -8.2968 23 6 4.0403 0.4923 -3.7392 24 6 4.1597 2.5763 0.1402 25 6 5.6825 2.4385 0.2178 26 8 6.0276 1.5934 1.3172 27 6 5.5108 0.2649 1.2167 28 6 3.9811 0.3153 1.1792 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3634 0.5138 0.8900 31 1 -0.3633 0.5139 -0.8900 32 1 1.6886 1.8464 0.8900 33 1 1.6886 1.8463 -0.8900 34 1 2.7364 2.7416 -1.4945 35 1 3.7032 3.1995 -2.9203 36 1 1.3315 3.3339 -3.4968 37 1 1.0657 1.6717 -2.9173 38 1 2.9108 2.4692 -5.2148 39 1 1.2923 1.7513 -5.3950 40 1 5.0942 0.2202 -6.5650 41 1 3.8466 0.4156 -7.8194 42 1 4.0406 1.6548 -6.5565 43 1 4.7733 -2.2527 -8.4971 44 1 4.8006 1.0763 -4.2578 45 1 4.4177 -0.5115 -3.5438 46 1 3.7903 3.0510 1.0492 47 1 3.8927 3.1855 -0.7233 48 1 6.0555 2.0008 -0.7082 49 1 6.1297 3.4221 0.3611 50 1 5.8342 -0.3173 2.0795 51 1 5.8815 -0.2014 0.3039 52 1 3.6079 0.7445 2.1092 53 1 3.5863 -0.6933 1.0581 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 ZINC001567193348.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 06:13:37 Heat of formation + Delta-G solvation = -78.671722 kcal Electronic energy + Delta-G solvation = -33350.851103 eV Core-core repulsion = 29224.477383 eV Total energy + Delta-G solvation = -4126.373721 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.36 seconds Orbital eigenvalues (eV) -41.34172 -38.67786 -37.83635 -37.22240 -35.36268 -34.26661 -32.35625 -31.34697 -31.08987 -28.94803 -28.24996 -26.23846 -26.01595 -25.57618 -24.00527 -23.40907 -22.93298 -21.92321 -21.27931 -19.25093 -18.51387 -16.98715 -16.78885 -16.66209 -16.41270 -16.02771 -15.84680 -15.49580 -15.11408 -14.98172 -14.57292 -14.34349 -14.17184 -13.89787 -13.80498 -13.65061 -13.26826 -12.88841 -12.71115 -12.65687 -12.32975 -12.28283 -12.16283 -11.96317 -11.81253 -11.63843 -11.35566 -11.12070 -11.03991 -10.83718 -10.77683 -10.62744 -10.46691 -10.40914 -10.29896 -10.16541 -9.89807 -9.82998 -9.77522 -9.50908 -9.15470 -8.55998 -8.28146 -6.82368 -5.75307 -3.12559 2.81654 3.17657 3.39210 3.46722 3.48193 3.49287 3.83741 4.23818 4.49670 4.54138 4.58366 4.72393 4.81756 4.86672 4.98915 5.06468 5.07040 5.14067 5.19780 5.23139 5.26652 5.37035 5.42634 5.47007 5.48577 5.52466 5.56212 5.56766 5.62494 5.68918 5.74361 5.86378 5.89289 5.96899 6.07924 6.09140 6.14777 6.19850 6.34766 6.47976 6.67201 6.76091 6.91094 6.96097 6.97989 7.15696 7.36513 7.65411 7.68698 7.82362 8.35672 8.44092 9.21828 9.86409 10.33049 11.31621 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014378 B = 0.003535 C = 0.003397 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1946.899076 B = 7918.708016 C = 8240.556904 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.379 6.379 3 C 0.060 3.940 4 C -0.077 4.077 5 C 0.529 3.471 6 O -0.531 6.531 7 N -0.603 5.603 8 C 0.086 3.914 9 C -0.133 4.133 10 C -0.132 4.132 11 C 0.170 3.830 12 H 0.064 0.936 13 N -0.591 5.591 14 C 0.160 3.840 15 C -0.255 4.255 16 H 0.071 0.929 17 C 0.002 3.998 18 N -0.903 5.903 19 Si 0.901 3.099 20 H -0.278 1.278 21 H -0.289 1.289 22 H -0.291 1.291 23 C 0.100 3.900 24 C -0.160 4.160 25 C 0.062 3.938 26 O -0.385 6.385 27 C 0.047 3.953 28 C -0.121 4.121 29 H 0.087 0.913 30 H 0.039 0.961 31 H 0.042 0.958 32 H 0.057 0.943 33 H 0.070 0.930 34 H 0.095 0.905 35 H 0.068 0.932 36 H 0.069 0.931 37 H 0.063 0.937 38 H 0.059 0.941 39 H 0.065 0.935 40 H 0.020 0.980 41 H 0.053 0.947 42 H -0.001 1.001 43 H 0.252 0.748 44 H 0.060 0.940 45 H 0.090 0.910 46 H 0.084 0.916 47 H 0.094 0.906 48 H 0.052 0.948 49 H 0.097 0.903 50 H 0.091 0.909 51 H 0.079 0.921 52 H 0.071 0.929 53 H 0.089 0.911 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.768 13.380 17.459 22.507 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 -0.064 4.064 2 O -0.297 6.297 3 C -0.017 4.017 4 C -0.080 4.080 5 C 0.316 3.684 6 O -0.408 6.408 7 N -0.336 5.336 8 C -0.037 4.037 9 C -0.172 4.172 10 C -0.171 4.171 11 C 0.060 3.940 12 H 0.082 0.918 13 N -0.313 5.313 14 C 0.016 3.984 15 C -0.384 4.384 16 H 0.088 0.912 17 C -0.197 4.197 18 N -0.548 5.548 19 Si 0.731 3.269 20 H -0.204 1.204 21 H -0.216 1.216 22 H -0.218 1.218 23 C -0.024 4.024 24 C -0.198 4.198 25 C -0.015 4.015 26 O -0.304 6.304 27 C -0.029 4.029 28 C -0.159 4.159 29 H 0.106 0.894 30 H 0.058 0.942 31 H 0.061 0.939 32 H 0.075 0.925 33 H 0.087 0.913 34 H 0.113 0.887 35 H 0.087 0.913 36 H 0.088 0.912 37 H 0.081 0.919 38 H 0.078 0.922 39 H 0.083 0.917 40 H 0.039 0.961 41 H 0.072 0.928 42 H 0.018 0.982 43 H 0.062 0.938 44 H 0.078 0.922 45 H 0.109 0.891 46 H 0.103 0.897 47 H 0.112 0.888 48 H 0.070 0.930 49 H 0.115 0.885 50 H 0.109 0.891 51 H 0.097 0.903 52 H 0.090 0.910 53 H 0.108 0.892 Dipole moment (debyes) X Y Z Total from point charges -4.097 12.609 17.435 21.903 hybrid contribution -0.960 -0.507 -0.903 1.412 sum -5.057 12.101 16.533 21.103 Atomic orbital electron populations 1.22751 0.80830 1.03075 0.99773 1.87971 1.19702 1.26731 1.95327 1.22909 0.91409 0.85991 1.01384 1.20880 0.94825 0.97168 0.95156 1.20115 0.79295 0.84521 0.84446 1.90643 1.39951 1.23608 1.86590 1.48188 1.58852 1.20143 1.06429 1.22242 0.94869 0.85512 1.01049 1.21886 0.96916 1.01196 0.97229 1.22062 1.01228 0.98892 0.94962 1.20590 0.93845 0.92938 0.86578 0.91780 1.44011 1.50226 1.25264 1.11773 1.20787 0.92516 0.89718 0.95407 1.19275 1.05276 1.00059 1.13792 0.91167 1.24867 0.95356 0.98402 1.01033 1.70146 1.10288 1.44320 1.30046 0.86239 0.79837 0.80762 0.80072 1.20358 1.21620 1.21792 1.22527 0.99398 0.98756 0.81710 1.22665 0.97760 0.94962 1.04391 1.22500 0.93120 0.95321 0.90522 1.87876 1.75168 1.23042 1.44331 1.22899 0.92741 0.83511 1.03751 1.21900 0.97073 1.01269 0.95610 0.89430 0.94241 0.93892 0.92480 0.91256 0.88744 0.91348 0.91201 0.91874 0.92203 0.91661 0.96148 0.92832 0.98248 0.93780 0.92208 0.89136 0.89723 0.88819 0.92995 0.88519 0.89096 0.90275 0.91041 0.89200 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 20. 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 0.03 0.31 11.01 101.05 1.11 1.42 16 2 O -0.38 -4.94 9.66 -35.23 -0.34 -5.28 16 3 C 0.06 0.63 4.47 37.16 0.17 0.80 16 4 C -0.08 -0.93 0.34 -155.47 -0.05 -0.98 16 5 C 0.53 8.53 4.95 -10.99 -0.05 8.48 16 6 O -0.53 -10.73 13.27 5.56 0.07 -10.66 16 7 N -0.60 -9.30 2.97 -173.02 -0.51 -9.81 16 8 C 0.09 0.97 4.06 -3.93 -0.02 0.95 16 9 C -0.13 -1.57 5.75 -26.83 -0.15 -1.73 16 10 C -0.13 -2.10 5.12 -26.69 -0.14 -2.24 16 11 C 0.17 3.43 2.74 -67.82 -0.19 3.25 16 12 H 0.06 1.40 7.83 -51.93 -0.41 0.99 16 13 N -0.59 -14.61 2.82 -173.36 -0.49 -15.09 16 14 C 0.16 3.87 7.98 59.85 0.48 4.35 16 15 C -0.25 -7.03 9.63 -15.06 -0.14 -7.17 16 16 H 0.07 1.92 7.81 -52.49 -0.41 1.51 16 17 C 0.00 0.05 4.94 -17.43 -0.09 -0.04 16 18 N -0.90 -26.50 10.81 55.49 0.60 -25.90 16 19 Si 0.90 22.04 29.60 -169.99 -5.03 17.01 16 20 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 21 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 22 H -0.29 -7.22 7.11 56.52 0.40 -6.81 16 23 C 0.10 1.93 5.78 -3.71 -0.02 1.91 16 24 C -0.16 -1.50 4.56 -26.59 -0.12 -1.62 16 25 C 0.06 0.69 6.62 37.20 0.25 0.93 16 26 O -0.39 -5.03 10.77 -35.23 -0.38 -5.41 16 27 C 0.05 0.62 6.55 37.21 0.24 0.86 16 28 C -0.12 -1.50 4.31 -26.59 -0.11 -1.62 16 29 H 0.09 0.80 8.14 -51.93 -0.42 0.38 16 30 H 0.04 0.30 8.14 -51.93 -0.42 -0.13 16 31 H 0.04 0.39 8.14 -51.93 -0.42 -0.03 16 32 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 33 H 0.07 0.68 4.05 -51.93 -0.21 0.47 16 34 H 0.09 0.84 2.61 -51.93 -0.14 0.70 16 35 H 0.07 0.70 8.14 -51.92 -0.42 0.28 16 36 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 37 H 0.06 0.77 7.55 -51.92 -0.39 0.38 16 38 H 0.06 0.95 6.71 -51.93 -0.35 0.60 16 39 H 0.06 1.10 8.14 -51.93 -0.42 0.67 16 40 H 0.02 0.53 7.74 -51.93 -0.40 0.13 16 41 H 0.05 1.41 6.79 -51.93 -0.35 1.06 16 42 H 0.00 -0.02 6.44 -51.93 -0.33 -0.35 16 43 H 0.25 7.17 8.31 -40.82 -0.34 6.83 16 44 H 0.06 1.16 7.52 -51.93 -0.39 0.77 16 45 H 0.09 2.11 7.04 -51.93 -0.37 1.74 16 46 H 0.08 0.65 8.14 -51.93 -0.42 0.23 16 47 H 0.09 0.74 4.63 -51.93 -0.24 0.50 16 48 H 0.05 0.67 7.38 -51.93 -0.38 0.29 16 49 H 0.10 0.83 8.14 -51.93 -0.42 0.40 16 50 H 0.09 1.04 8.14 -51.93 -0.42 0.61 16 51 H 0.08 1.26 5.79 -51.92 -0.30 0.96 16 52 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 53 H 0.09 1.28 7.57 -51.93 -0.39 0.89 16 LS Contribution 385.37 15.07 5.81 5.81 Total: -1.00 -33.06 385.37 -7.97 -41.03 By element: Atomic # 1 Polarization: 9.61 SS G_CDS: -8.85 Total: 0.76 kcal Atomic # 6 Polarization: 6.39 SS G_CDS: 1.16 Total: 7.55 kcal Atomic # 7 Polarization: -50.40 SS G_CDS: -0.40 Total: -50.80 kcal Atomic # 8 Polarization: -20.70 SS G_CDS: -0.65 Total: -21.35 kcal Atomic # 14 Polarization: 22.04 SS G_CDS: -5.03 Total: 17.01 kcal Total LS contribution 5.81 Total: 5.81 kcal Total: -33.06 -7.97 -41.03 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. ZINC001567193348.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 -37.645 kcal (2) G-P(sol) polarization free energy of solvation -33.060 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -70.705 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.966 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.027 kcal (6) G-S(sol) free energy of system = (1) + (5) -78.672 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.36 seconds