Wall clock time and date at job start Tue Mar 31 2020 19:33:43 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 1.42894 * 1 3 3 C 1.42898 * 114.00450 * 2 1 4 4 H 1.09007 * 109.46889 * 329.99951 * 3 2 1 5 5 C 1.53002 * 109.47233 * 89.99663 * 3 2 1 6 6 C 1.52998 * 109.47031 * 180.02562 * 5 3 2 7 7 C 1.52996 * 109.47133 * 299.99688 * 6 5 3 8 8 C 1.53002 * 109.46907 * 60.00236 * 7 6 5 9 9 H 1.09007 * 109.46948 * 59.99843 * 8 7 6 10 10 C 1.50701 * 109.46977 * 179.97438 * 8 7 6 11 11 O 1.21285 * 119.99933 * 95.37321 * 10 8 7 12 12 N 1.34774 * 120.00220 * 275.36780 * 10 8 7 13 13 C 1.46889 * 120.46362 * 4.93548 * 12 10 8 14 14 C 1.52856 * 109.01794 * 235.48447 * 13 12 10 15 15 C 1.52675 * 109.18096 * 307.82421 * 14 13 12 16 16 C 1.53482 * 113.62283 * 188.98866 * 15 14 13 17 17 N 1.47671 * 85.98646 * 137.70720 * 16 15 14 18 18 C 1.36933 * 134.45788 * 155.70348 * 17 16 15 19 19 H 1.07999 * 120.00166 * 179.97438 * 18 17 16 20 20 C 1.38812 * 119.99950 * 359.96655 * 18 17 16 21 21 N 1.31620 * 120.00102 * 0.02562 * 20 18 17 22 22 Si 1.86808 * 120.00142 * 180.02562 * 20 18 17 23 23 H 1.48498 * 109.46870 * 89.99960 * 22 20 18 24 24 H 1.48497 * 109.46911 * 210.00167 * 22 20 18 25 25 H 1.48497 * 109.46574 * 330.00089 * 22 20 18 26 26 C 1.47665 * 91.08558 * 335.67742 * 17 16 15 27 27 C 1.52669 * 113.18287 * 57.45622 * 15 14 13 28 28 C 1.46879 * 120.46997 * 185.21468 * 12 10 8 29 29 C 1.53001 * 109.47390 * 299.99778 * 8 7 6 30 30 H 1.08993 * 109.47470 * 300.00142 * 1 2 3 31 31 H 1.09001 * 109.46817 * 60.00593 * 1 2 3 32 32 H 1.09000 * 109.47395 * 179.97438 * 1 2 3 33 33 H 1.09005 * 109.46981 * 300.00309 * 5 3 2 34 34 H 1.08999 * 109.47023 * 59.99991 * 5 3 2 35 35 H 1.09004 * 109.47033 * 179.97438 * 6 5 3 36 36 H 1.09001 * 109.46840 * 60.00276 * 6 5 3 37 37 H 1.08993 * 109.47429 * 300.00136 * 7 6 5 38 38 H 1.08996 * 109.47169 * 179.97438 * 7 6 5 39 39 H 1.08997 * 109.58767 * 355.31242 * 13 12 10 40 40 H 1.09002 * 109.58732 * 115.75123 * 13 12 10 41 41 H 1.09000 * 109.60859 * 187.83843 * 14 13 12 42 42 H 1.09004 * 109.38471 * 67.66453 * 14 13 12 43 43 H 1.08996 * 113.79153 * 251.97239 * 16 15 14 44 44 H 1.08996 * 113.78798 * 23.44074 * 16 15 14 45 45 H 0.96994 * 120.00402 * 180.02562 * 21 20 18 46 46 H 1.08997 * 113.79662 * 270.05043 * 26 17 16 47 47 H 1.09009 * 113.79251 * 138.57845 * 26 17 16 48 48 H 1.09001 * 109.52840 * 182.52427 * 27 15 14 49 49 H 1.08995 * 109.53311 * 62.30802 * 27 15 14 50 50 H 1.09001 * 109.58692 * 244.26001 * 28 12 10 51 51 H 1.09003 * 109.58353 * 4.54118 * 28 12 10 52 52 H 1.08993 * 109.46934 * 300.00092 * 29 8 7 53 53 H 1.08994 * 109.47429 * 180.02562 * 29 8 7 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 1.4289 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 1 1.3450 1.9994 -0.5139 5 6 2.2177 1.7714 1.4425 6 6 2.8395 3.1693 1.4425 7 6 4.1881 3.1275 0.7212 8 6 3.9807 2.6616 -0.7213 9 1 3.3151 3.3553 -1.2351 10 6 5.3090 2.6210 -1.4320 11 8 5.9299 1.5813 -1.4982 12 7 5.8070 3.7402 -1.9942 13 6 5.1180 5.0268 -1.8284 14 6 4.8271 5.6174 -3.2079 15 6 6.1173 5.6456 -4.0238 16 6 5.9930 6.4173 -5.3446 17 7 7.3186 6.9812 -5.0198 18 6 8.3403 7.5161 -5.7580 19 1 9.2345 7.8694 -5.2661 20 6 8.2269 7.6041 -7.1387 21 7 7.1370 7.1739 -7.7382 22 14 9.6211 8.3332 -8.1459 23 1 10.5627 7.2550 -8.5408 24 1 9.0674 8.9776 -9.3638 25 1 10.3412 9.3464 -7.3335 26 6 7.1004 6.7378 -3.5798 27 6 6.7614 4.2699 -4.1773 28 6 7.0428 3.6893 -2.7863 29 6 3.3589 1.2636 -0.7214 30 1 -0.3634 0.5138 0.8899 31 1 -0.3633 0.5138 -0.8901 32 1 -0.3634 -1.0276 -0.0005 33 1 1.2568 1.8015 1.9563 34 1 2.8828 1.0774 1.9564 35 1 2.9868 3.5014 2.4701 36 1 2.1739 3.8629 0.9287 37 1 4.8536 2.4339 1.2349 38 1 4.6309 4.1235 0.7207 39 1 4.1809 4.8733 -1.2934 40 1 5.7536 5.7120 -1.2675 41 1 4.4431 6.6316 -3.0980 42 1 4.0873 4.9998 -3.7172 43 1 5.9913 5.7791 -6.2282 44 1 5.1905 7.1548 -5.3491 45 1 7.0578 7.2351 -8.7030 46 1 6.6269 7.5706 -3.0598 47 1 7.9787 6.3541 -3.0606 48 1 7.6970 4.3651 -4.7285 49 1 6.0843 3.6088 -4.7180 50 1 7.8168 4.2782 -2.2941 51 1 7.3746 2.6552 -2.8798 52 1 4.0244 0.5700 -0.2077 53 1 3.2115 0.9315 -1.7490 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001035779594.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 19:33:43 Heat of formation + Delta-G solvation = -42.204630 kcal Electronic energy + Delta-G solvation = -30649.423502 eV Core-core repulsion = 26715.087164 eV Total energy + Delta-G solvation = -3934.336337 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -40.74997 -39.43032 -38.47461 -36.45646 -35.74191 -32.52708 -31.74779 -30.83237 -30.58520 -29.90604 -26.87873 -26.75363 -25.09395 -24.34371 -23.48326 -22.66940 -22.55114 -21.20982 -20.38635 -19.25571 -17.84813 -16.97302 -16.71553 -16.58234 -15.95705 -15.55285 -15.40793 -15.09163 -14.87311 -14.72710 -14.63823 -14.08463 -13.81203 -13.73792 -13.63713 -13.47892 -13.17782 -12.75404 -12.46734 -12.37006 -12.35362 -12.08572 -12.03000 -11.68579 -11.60178 -11.36734 -11.13686 -11.06012 -10.97548 -10.85919 -10.82354 -10.80630 -10.76615 -10.35900 -10.15053 -9.90329 -9.71032 -9.64964 -9.41458 -9.33127 -8.78173 -8.40898 -6.85247 -5.75499 -3.07210 2.65505 3.01176 3.39246 3.44147 3.45913 3.48118 4.25326 4.38329 4.46427 4.55280 4.71974 4.77235 4.84096 4.90431 4.95034 5.03368 5.04988 5.07032 5.11359 5.15801 5.22218 5.26423 5.33877 5.35838 5.37518 5.49493 5.53641 5.58891 5.64428 5.69820 5.74216 5.82256 5.85687 5.88432 5.93451 5.96905 6.02452 6.09168 6.19686 6.27963 6.31106 6.45428 6.62874 6.65176 6.81152 6.88571 6.92566 7.24324 7.38424 7.51836 7.59587 8.00203 8.24882 9.06402 9.72561 10.62717 11.41487 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.026114 B = 0.002315 C = 0.002293 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1071.950389 B =12090.550909 C =12206.189149 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.384 6.384 3 C 0.091 3.909 4 H 0.061 0.939 5 C -0.142 4.142 6 C -0.114 4.114 7 C -0.112 4.112 8 C -0.103 4.103 9 H 0.095 0.905 10 C 0.519 3.481 11 O -0.545 6.545 12 N -0.604 5.604 13 C 0.107 3.893 14 C -0.120 4.120 15 C -0.108 4.108 16 C 0.173 3.827 17 N -0.609 5.609 18 C -0.221 4.221 19 H 0.078 0.922 20 C -0.008 4.008 21 N -0.921 5.921 22 Si 0.909 3.091 23 H -0.288 1.288 24 H -0.291 1.291 25 H -0.282 1.282 26 C 0.126 3.874 27 C -0.096 4.096 28 C 0.113 3.887 29 C -0.098 4.098 30 H 0.040 0.960 31 H 0.041 0.959 32 H 0.084 0.916 33 H 0.063 0.937 34 H 0.073 0.927 35 H 0.070 0.930 36 H 0.066 0.934 37 H 0.072 0.928 38 H 0.072 0.928 39 H 0.081 0.919 40 H 0.070 0.930 41 H 0.075 0.925 42 H 0.063 0.937 43 H 0.071 0.929 44 H 0.024 0.976 45 H 0.253 0.747 46 H 0.031 0.969 47 H 0.040 0.960 48 H 0.087 0.913 49 H 0.059 0.941 50 H 0.066 0.934 51 H 0.087 0.913 52 H 0.083 0.917 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.705 -9.042 18.966 25.086 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 -0.066 4.066 2 O -0.303 6.303 3 C 0.033 3.967 4 H 0.079 0.921 5 C -0.180 4.180 6 C -0.152 4.152 7 C -0.150 4.150 8 C -0.125 4.125 9 H 0.113 0.887 10 C 0.307 3.693 11 O -0.423 6.423 12 N -0.336 5.336 13 C -0.016 4.016 14 C -0.159 4.159 15 C -0.109 4.109 16 C 0.048 3.952 17 N -0.335 5.335 18 C -0.349 4.349 19 H 0.096 0.904 20 C -0.205 4.205 21 N -0.569 5.569 22 Si 0.740 3.260 23 H -0.216 1.216 24 H -0.217 1.217 25 H -0.208 1.208 26 C 0.000 4.000 27 C -0.134 4.134 28 C -0.009 4.009 29 C -0.136 4.136 30 H 0.058 0.942 31 H 0.060 0.940 32 H 0.103 0.897 33 H 0.082 0.918 34 H 0.091 0.909 35 H 0.089 0.911 36 H 0.084 0.916 37 H 0.091 0.909 38 H 0.091 0.909 39 H 0.099 0.901 40 H 0.089 0.911 41 H 0.093 0.907 42 H 0.082 0.918 43 H 0.090 0.910 44 H 0.042 0.958 45 H 0.063 0.937 46 H 0.048 0.952 47 H 0.058 0.942 48 H 0.105 0.895 49 H 0.078 0.922 50 H 0.085 0.915 51 H 0.105 0.895 52 H 0.102 0.898 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -13.072 -9.640 18.618 24.708 hybrid contribution 0.395 1.007 -0.726 1.303 sum -12.677 -8.633 17.893 23.566 Atomic orbital electron populations 1.22781 0.81244 1.02686 0.99877 1.87927 1.19464 1.27841 1.95046 1.22134 0.94794 0.84392 0.95391 0.92100 1.22057 1.01391 0.97317 0.97199 1.21477 0.96208 0.96553 1.00925 1.21550 0.98104 1.02083 0.93224 1.21279 0.95011 0.98962 0.97235 0.88730 1.20455 0.87011 0.83156 0.78677 1.90679 1.61001 1.30600 1.59990 1.48122 1.26213 1.07996 1.51296 1.21755 0.97058 0.84505 0.98268 1.21765 0.98419 1.00985 0.94739 1.22379 0.94173 0.95155 0.99213 1.22228 0.86889 0.92606 0.93482 1.45957 1.14861 1.72586 1.00125 1.19001 0.94041 1.33345 0.88466 0.90433 1.24762 0.97599 1.01792 0.96333 1.69812 1.26554 1.51878 1.08626 0.86159 0.81257 0.78710 0.79871 1.21560 1.21706 1.20769 1.22589 0.95284 0.93584 0.88510 1.21481 1.02131 0.94608 0.95173 1.21689 0.85215 1.02352 0.91625 1.21367 0.94831 0.95704 1.01652 0.94173 0.94006 0.89715 0.91841 0.90871 0.91091 0.91570 0.90921 0.90943 0.90103 0.91134 0.90666 0.91825 0.91029 0.95802 0.93713 0.95194 0.94182 0.89496 0.92184 0.91547 0.89462 0.89828 0.90911 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 0.03 0.21 10.82 101.05 1.09 1.30 16 2 O -0.38 -3.91 10.35 -35.23 -0.36 -4.27 16 3 C 0.09 0.80 2.61 -26.73 -0.07 0.73 16 4 H 0.06 0.47 7.79 -51.93 -0.40 0.06 16 5 C -0.14 -1.05 5.54 -26.73 -0.15 -1.19 16 6 C -0.11 -0.73 5.92 -26.73 -0.16 -0.89 16 7 C -0.11 -0.90 4.98 -26.73 -0.13 -1.04 16 8 C -0.10 -1.02 1.66 -91.77 -0.15 -1.17 16 9 H 0.09 0.80 6.53 -51.93 -0.34 0.46 16 10 C 0.52 7.03 6.80 -10.99 -0.07 6.96 16 11 O -0.55 -9.39 15.50 5.55 0.09 -9.31 16 12 N -0.60 -7.93 2.95 -172.95 -0.51 -8.44 16 13 C 0.11 1.17 5.68 -3.90 -0.02 1.15 16 14 C -0.12 -1.59 5.24 -26.97 -0.14 -1.73 16 15 C -0.11 -1.87 0.77 -154.42 -0.12 -1.99 16 16 C 0.17 3.93 6.64 -3.16 -0.02 3.91 16 17 N -0.61 -15.18 3.53 -179.77 -0.64 -15.82 16 18 C -0.22 -6.12 10.70 -15.06 -0.16 -6.28 16 19 H 0.08 2.09 7.83 -52.49 -0.41 1.68 16 20 C -0.01 -0.24 5.50 -17.43 -0.10 -0.34 16 21 N -0.92 -27.17 11.39 55.49 0.63 -26.54 16 22 Si 0.91 22.14 29.55 -169.99 -5.02 17.12 16 23 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 24 H -0.29 -7.15 7.11 56.52 0.40 -6.74 16 25 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 26 C 0.13 2.45 7.73 -3.15 -0.02 2.42 16 27 C -0.10 -1.63 5.22 -26.73 -0.14 -1.77 16 28 C 0.11 1.68 6.29 -3.66 -0.02 1.66 16 29 C -0.10 -1.04 4.38 -26.73 -0.12 -1.15 16 30 H 0.04 0.23 7.87 -51.93 -0.41 -0.18 16 31 H 0.04 0.26 8.09 -51.93 -0.42 -0.16 16 32 H 0.08 0.49 8.14 -51.93 -0.42 0.06 16 33 H 0.06 0.41 7.87 -51.93 -0.41 0.00 16 34 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 35 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 36 H 0.07 0.37 8.14 -51.93 -0.42 -0.05 16 37 H 0.07 0.67 8.14 -51.93 -0.42 0.24 16 38 H 0.07 0.54 7.27 -51.93 -0.38 0.16 16 39 H 0.08 0.67 4.99 -51.93 -0.26 0.41 16 40 H 0.07 0.74 8.08 -51.93 -0.42 0.33 16 41 H 0.07 0.95 8.12 -51.93 -0.42 0.53 16 42 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 43 H 0.07 1.83 7.12 -51.93 -0.37 1.46 16 44 H 0.02 0.56 8.09 -51.93 -0.42 0.14 16 45 H 0.25 7.26 8.31 -40.82 -0.34 6.92 16 46 H 0.03 0.56 8.07 -51.93 -0.42 0.14 16 47 H 0.04 0.75 7.41 -51.92 -0.38 0.37 16 48 H 0.09 1.71 8.01 -51.93 -0.42 1.29 16 49 H 0.06 1.03 8.14 -51.93 -0.42 0.60 16 50 H 0.07 0.96 7.49 -51.93 -0.39 0.58 16 51 H 0.09 1.37 7.00 -51.93 -0.36 1.01 16 52 H 0.08 1.03 7.87 -51.93 -0.41 0.62 16 53 H 0.07 0.85 8.14 -51.93 -0.42 0.43 16 LS Contribution 400.00 15.07 6.03 6.03 Total: -1.00 -32.78 400.00 -9.85 -42.64 By element: Atomic # 1 Polarization: 7.58 SS G_CDS: -9.56 Total: -1.98 kcal Atomic # 6 Polarization: 1.09 SS G_CDS: -0.51 Total: 0.58 kcal Atomic # 7 Polarization: -50.29 SS G_CDS: -0.51 Total: -50.80 kcal Atomic # 8 Polarization: -13.30 SS G_CDS: -0.28 Total: -13.58 kcal Atomic # 14 Polarization: 22.14 SS G_CDS: -5.02 Total: 17.12 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -32.78 -9.85 -42.64 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. ZINC001035779594.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 0.431 kcal (2) G-P(sol) polarization free energy of solvation -32.783 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -32.352 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.852 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.636 kcal (6) G-S(sol) free energy of system = (1) + (5) -42.205 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds