Wall clock time and date at job start Sat Apr 11 2020 06:09:38 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 N 2 2 C 1.31633 * 1 3 3 Si 1.86796 * 119.99741 * 2 1 4 4 H 1.48504 * 109.46793 * 180.02562 * 3 2 1 5 5 H 1.48501 * 109.47282 * 300.00142 * 3 2 1 6 6 H 1.48500 * 109.47237 * 60.00639 * 3 2 1 7 7 C 1.38799 * 119.99674 * 180.02562 * 2 1 3 8 8 H 1.08005 * 119.99356 * 179.97438 * 7 2 1 9 9 S 1.76196 * 120.00626 * 359.97438 * 7 2 1 10 10 C 1.80997 * 100.00314 * 179.97438 * 9 7 2 11 11 C 1.50700 * 109.47151 * 179.97438 * 10 9 7 12 12 O 1.21283 * 119.99803 * 359.97438 * 11 10 9 13 13 N 1.34777 * 119.99675 * 180.27780 * 11 10 9 14 14 C 1.46921 * 120.63392 * 359.43977 * 13 11 10 15 15 C 1.52760 * 109.00994 * 233.58899 * 14 13 11 16 16 C 1.53036 * 109.38235 * 305.58739 * 15 14 13 17 17 C 1.53035 * 109.53955 * 61.24292 * 16 15 14 18 18 H 1.08997 * 109.49664 * 58.58032 * 17 16 15 19 19 N 1.46896 * 109.50138 * 178.68141 * 17 16 15 20 20 C 1.46900 * 111.00331 * 204.83814 * 19 17 16 21 21 C 1.52997 * 109.47185 * 180.02562 * 20 19 17 22 22 C 1.53000 * 109.47051 * 179.97438 * 21 20 19 23 23 C 1.54265 * 110.03171 * 292.90597 * 22 21 20 24 24 C 1.54971 * 104.15873 * 217.13673 * 23 22 21 25 25 C 1.54889 * 102.77762 * 37.88658 * 24 23 22 26 26 C 1.53876 * 110.03167 * 175.68858 * 22 21 20 27 27 C 1.46924 * 120.62813 * 179.72946 * 13 11 10 28 28 H 0.97003 * 120.00297 * 359.97438 * 1 2 3 29 29 H 1.09009 * 109.46810 * 59.99569 * 10 9 7 30 30 H 1.08998 * 109.46824 * 300.00078 * 10 9 7 31 31 H 1.09004 * 109.58490 * 353.42409 * 14 13 11 32 32 H 1.09002 * 109.58518 * 113.84767 * 14 13 11 33 33 H 1.09005 * 109.56000 * 185.55371 * 15 14 13 34 34 H 1.08994 * 109.38732 * 65.51586 * 15 14 13 35 35 H 1.09002 * 109.46377 * 301.22063 * 16 15 14 36 36 H 1.09001 * 109.45993 * 181.26248 * 16 15 14 37 37 H 1.00901 * 111.00300 * 328.79404 * 19 17 16 38 38 H 1.09002 * 109.47143 * 299.99974 * 20 19 17 39 39 H 1.08993 * 109.47050 * 59.99749 * 20 19 17 40 40 H 1.09002 * 109.46917 * 299.99939 * 21 20 19 41 41 H 1.09002 * 109.47324 * 59.99844 * 21 20 19 42 42 H 1.09003 * 110.01711 * 54.29776 * 22 21 20 43 43 H 1.08992 * 110.48982 * 335.78241 * 23 22 21 44 44 H 1.08995 * 110.48442 * 98.42845 * 23 22 21 45 45 H 1.09001 * 110.71683 * 279.57858 * 24 23 22 46 46 H 1.08995 * 110.92201 * 156.29598 * 24 23 22 47 47 H 1.09000 * 110.48940 * 203.40664 * 25 24 23 48 48 H 1.09002 * 110.59875 * 80.81697 * 25 24 23 49 49 H 1.09000 * 110.03140 * 238.56890 * 26 22 21 50 50 H 1.09001 * 110.03545 * 359.97438 * 26 22 21 51 51 H 1.09006 * 109.58353 * 246.15683 * 27 13 11 52 52 H 1.09008 * 109.58903 * 6.57099 * 27 13 11 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3163 0.0000 0.0000 3 14 2.2502 1.6177 0.0000 4 1 3.7103 1.3464 -0.0006 5 1 1.8915 2.3965 -1.2125 6 1 1.8916 2.3964 1.2126 7 6 2.0103 -1.2021 -0.0005 8 1 3.0903 -1.2020 -0.0010 9 16 1.1294 -2.7280 -0.0005 10 6 2.5159 -3.8914 -0.0021 11 6 1.9874 -5.3028 -0.0017 12 8 0.7911 -5.5023 0.0000 13 7 2.8442 -6.3431 0.0029 14 6 4.2960 -6.1174 -0.0047 15 6 4.9147 -6.8971 -1.1636 16 6 4.5076 -8.3687 -1.0602 17 6 2.9848 -8.4864 -1.1552 18 1 2.6451 -8.0603 -2.0992 19 7 2.5972 -9.9017 -1.0876 20 6 1.2994 -10.1239 -1.7391 21 6 0.9301 -11.6058 -1.6480 22 6 -0.4218 -11.8371 -2.3260 23 6 -1.5411 -11.1416 -1.5238 24 6 -2.7429 -12.1144 -1.6283 25 6 -2.0665 -13.5051 -1.5408 26 6 -0.7558 -13.3391 -2.3371 27 6 2.3442 -7.7246 0.0094 28 1 -0.4851 0.8400 0.0004 29 1 3.1252 -3.7317 0.8875 30 1 3.1238 -3.7309 -0.8925 31 1 4.4997 -5.0541 -0.1315 32 1 4.7246 -6.4641 0.9355 33 1 6.0008 -6.8160 -1.1193 34 1 4.5574 -6.4862 -2.1077 35 1 4.8442 -8.7724 -0.1053 36 1 4.9667 -8.9304 -1.8738 37 1 3.3098 -10.4915 -1.4907 38 1 0.5354 -9.5281 -1.2396 39 1 1.3634 -9.8286 -2.7863 40 1 1.6940 -12.2019 -2.1472 41 1 0.8660 -11.9006 -0.6005 42 1 -0.3987 -11.4521 -3.3455 43 1 -1.2425 -11.0149 -0.4833 44 1 -1.7887 -10.1788 -1.9706 45 1 -3.2551 -11.9934 -2.5828 46 1 -3.4349 -11.9685 -0.7989 47 1 -2.6979 -14.2660 -1.9996 48 1 -1.8526 -13.7629 -0.5035 49 1 -0.8956 -13.6829 -3.3620 50 1 0.0455 -13.9034 -1.8600 51 1 2.6104 -8.2051 0.9509 52 1 1.2604 -7.7216 -0.1080 RHF calculation, no. of doubly occupied orbitals= 63 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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 ZINC001207430753.mol2 52 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 06:09:38 Heat of formation + Delta-G solvation = -65.360070 kcal Electronic energy + Delta-G solvation = -27253.979377 eV Core-core repulsion = 23570.935764 eV Total energy + Delta-G solvation = -3683.043613 eV No. of doubly occupied orbitals = 63 Molecular weight (most abundant/longest-lived isotopes) = 340.193 amu Computer time = 0.69 seconds Orbital eigenvalues (eV) -40.02024 -38.87734 -37.65913 -35.64029 -32.90572 -32.42534 -31.81862 -30.16793 -28.99104 -28.49659 -26.09386 -25.56986 -25.07713 -22.97809 -21.89538 -20.89357 -20.81054 -19.76593 -19.00103 -17.67939 -16.77087 -16.39288 -15.91411 -15.63079 -15.32793 -15.18982 -14.88246 -14.80303 -14.58800 -14.34804 -13.96122 -13.66441 -13.59260 -13.29327 -13.19970 -12.79939 -12.74261 -12.49032 -12.15618 -12.10398 -11.86552 -11.48129 -11.39300 -11.26647 -11.19624 -11.15848 -11.07087 -11.00970 -10.91836 -10.83441 -10.80695 -10.74434 -10.57551 -10.48318 -9.78793 -9.33238 -9.07212 -8.78914 -8.41593 -8.20999 -6.49438 -6.21400 -3.91767 2.92723 3.07922 3.21477 3.25920 3.30978 3.57809 3.88491 4.20370 4.30385 4.36562 4.49136 4.50602 4.67340 4.79342 4.87667 4.89611 4.99366 5.07628 5.12049 5.13730 5.18687 5.19762 5.28700 5.33789 5.36371 5.41157 5.44919 5.45227 5.54822 5.57880 5.64815 5.66908 5.68850 5.71423 5.77305 5.79673 5.84346 5.87097 5.89201 5.90537 6.01584 6.05098 6.07239 6.10710 6.12910 6.21898 6.57695 6.87109 7.13305 7.59265 7.61110 8.35639 8.59327 9.23925 10.86071 Molecular weight = 340.19amu Principal moments of inertia in cm(-1) A = 0.014427 B = 0.002117 C = 0.001882 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1940.376829 B =13224.305427 C =14876.409308 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.867 5.867 2 C 0.073 3.927 3 Si 0.919 3.081 4 H -0.272 1.272 5 H -0.280 1.280 6 H -0.280 1.280 7 C -0.534 4.534 8 H 0.073 0.927 9 S -0.062 6.062 10 C -0.150 4.150 11 C 0.535 3.465 12 O -0.517 6.517 13 N -0.620 5.620 14 C 0.107 3.893 15 C -0.134 4.134 16 C -0.119 4.119 17 C 0.074 3.926 18 H 0.048 0.952 19 N -0.684 5.684 20 C 0.055 3.945 21 C -0.107 4.107 22 C -0.092 4.092 23 C -0.122 4.122 24 C -0.127 4.127 25 C -0.125 4.125 26 C -0.120 4.120 27 C 0.127 3.873 28 H 0.268 0.732 29 H 0.089 0.911 30 H 0.088 0.912 31 H 0.090 0.910 32 H 0.068 0.932 33 H 0.078 0.922 34 H 0.068 0.932 35 H 0.073 0.927 36 H 0.062 0.938 37 H 0.340 0.660 38 H 0.077 0.923 39 H 0.028 0.972 40 H 0.058 0.942 41 H 0.072 0.928 42 H 0.069 0.931 43 H 0.070 0.930 44 H 0.066 0.934 45 H 0.064 0.936 46 H 0.065 0.935 47 H 0.061 0.939 48 H 0.064 0.936 49 H 0.060 0.940 50 H 0.064 0.936 51 H 0.070 0.930 52 H 0.089 0.911 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.819 -26.427 -4.259 27.623 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 N -0.503 5.503 2 C -0.136 4.136 3 Si 0.745 3.255 4 H -0.196 1.196 5 H -0.206 1.206 6 H -0.206 1.206 7 C -0.682 4.682 8 H 0.091 0.909 9 S 0.165 5.835 10 C -0.301 4.301 11 C 0.323 3.677 12 O -0.392 6.392 13 N -0.356 5.356 14 C -0.017 4.017 15 C -0.172 4.172 16 C -0.157 4.157 17 C -0.037 4.037 18 H 0.066 0.934 19 N -0.315 5.315 20 C -0.074 4.074 21 C -0.145 4.145 22 C -0.111 4.111 23 C -0.160 4.160 24 C -0.164 4.164 25 C -0.163 4.163 26 C -0.158 4.158 27 C 0.003 3.997 28 H 0.078 0.922 29 H 0.107 0.893 30 H 0.107 0.893 31 H 0.108 0.892 32 H 0.086 0.914 33 H 0.096 0.904 34 H 0.086 0.914 35 H 0.092 0.908 36 H 0.080 0.920 37 H 0.158 0.842 38 H 0.096 0.904 39 H 0.047 0.953 40 H 0.076 0.924 41 H 0.091 0.909 42 H 0.087 0.913 43 H 0.089 0.911 44 H 0.085 0.915 45 H 0.083 0.917 46 H 0.084 0.916 47 H 0.080 0.920 48 H 0.083 0.917 49 H 0.079 0.921 50 H 0.082 0.918 51 H 0.088 0.912 52 H 0.107 0.893 Dipole moment (debyes) X Y Z Total from point charges 4.599 -26.553 -3.623 27.191 hybrid contribution 2.329 1.355 -1.031 2.885 sum 6.929 -25.198 -4.655 26.544 Atomic orbital electron populations 1.70032 1.05944 1.27324 1.46962 1.24999 0.95033 0.99035 0.94580 0.86117 0.79580 0.81899 0.77896 1.19615 1.20589 1.20558 1.22901 0.94917 0.91629 1.58784 0.90900 1.85410 1.05067 0.96354 1.96683 1.23552 1.06418 0.95419 1.04662 1.20331 0.86211 0.86191 0.74980 1.90687 1.15197 1.85239 1.48037 1.48086 1.06348 1.05778 1.75432 1.21636 0.80171 1.01498 0.98367 1.21836 1.00812 0.95098 0.99498 1.21691 0.94549 0.96825 1.02624 1.21860 0.95085 0.88452 0.98277 0.93362 1.60360 1.04823 1.05548 1.60786 1.22100 0.91772 0.96985 0.96498 1.21674 0.96018 0.95364 1.01471 1.21762 0.94638 0.95267 0.99433 1.22496 0.94523 0.98349 1.00605 1.22514 0.97488 0.94782 1.01643 1.22354 0.96350 0.97289 1.00273 1.22204 0.97559 0.95864 1.00138 1.21408 1.00289 0.80356 0.97650 0.92248 0.89250 0.89335 0.89159 0.91404 0.90351 0.91360 0.90803 0.91956 0.84152 0.90428 0.95340 0.92360 0.90922 0.91266 0.91141 0.91547 0.91699 0.91624 0.92024 0.91700 0.92106 0.91761 0.91162 0.89251 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 N -0.87 -26.27 13.22 55.49 0.73 -25.53 16 2 C 0.07 2.08 5.49 -17.43 -0.10 1.99 16 3 Si 0.92 21.45 29.55 -169.99 -5.02 16.43 16 4 H -0.27 -6.13 7.11 56.52 0.40 -5.73 16 5 H -0.28 -6.44 7.11 56.52 0.40 -6.03 16 6 H -0.28 -6.43 7.11 56.52 0.40 -6.03 16 7 C -0.53 -15.27 9.50 30.94 0.29 -14.97 16 8 H 0.07 1.97 7.80 -52.48 -0.41 1.56 16 9 S -0.06 -1.70 20.57 -107.50 -2.21 -3.91 16 10 C -0.15 -3.09 4.50 36.01 0.16 -2.93 16 11 C 0.53 10.46 7.72 -10.98 -0.08 10.38 16 12 O -0.52 -12.12 15.27 5.55 0.08 -12.03 16 13 N -0.62 -9.14 2.98 -173.03 -0.52 -9.65 16 14 C 0.11 1.18 6.31 -3.94 -0.02 1.16 16 15 C -0.13 -1.19 6.06 -26.84 -0.16 -1.35 16 16 C -0.12 -0.99 5.17 -26.69 -0.14 -1.13 16 17 C 0.07 0.77 2.64 -67.60 -0.18 0.59 16 18 H 0.05 0.59 7.80 -51.93 -0.41 0.18 16 19 N -0.68 -6.16 6.31 -106.61 -0.67 -6.83 16 20 C 0.06 0.51 5.33 -3.83 -0.02 0.49 16 21 C -0.11 -0.81 4.60 -26.73 -0.12 -0.94 16 22 C -0.09 -0.70 2.93 -89.50 -0.26 -0.96 16 23 C -0.12 -1.03 5.50 -25.03 -0.14 -1.17 16 24 C -0.13 -0.97 6.91 -24.69 -0.17 -1.14 16 25 C -0.13 -0.86 6.83 -25.07 -0.17 -1.03 16 26 C -0.12 -0.82 6.46 -25.61 -0.17 -0.98 16 27 C 0.13 1.68 5.90 -3.71 -0.02 1.66 16 28 H 0.27 7.51 8.31 -40.82 -0.34 7.17 16 29 H 0.09 1.71 7.95 -51.91 -0.41 1.29 16 30 H 0.09 1.69 7.68 -51.92 -0.40 1.29 16 31 H 0.09 1.02 5.94 -51.93 -0.31 0.72 16 32 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 33 H 0.08 0.55 8.14 -51.93 -0.42 0.12 16 34 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 35 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 36 H 0.06 0.44 8.10 -51.93 -0.42 0.02 16 37 H 0.34 2.51 8.34 -39.29 -0.33 2.18 16 38 H 0.08 0.85 6.90 -51.93 -0.36 0.49 16 39 H 0.03 0.27 8.06 -51.93 -0.42 -0.15 16 40 H 0.06 0.40 8.14 -51.93 -0.42 -0.03 16 41 H 0.07 0.60 8.02 -51.93 -0.42 0.18 16 42 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 43 H 0.07 0.63 7.77 -51.93 -0.40 0.23 16 44 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 45 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 46 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 47 H 0.06 0.38 8.14 -51.93 -0.42 -0.04 16 48 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 49 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 50 H 0.06 0.41 7.67 -51.93 -0.40 0.02 16 51 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 52 H 0.09 1.40 6.48 -51.92 -0.34 1.07 16 LS Contribution 413.77 15.07 6.24 6.24 Total: -1.00 -33.25 413.77 -12.32 -45.57 By element: Atomic # 1 Polarization: 9.72 SS G_CDS: -9.65 Total: 0.08 kcal Atomic # 6 Polarization: -9.05 SS G_CDS: -1.30 Total: -10.35 kcal Atomic # 7 Polarization: -41.56 SS G_CDS: -0.45 Total: -42.02 kcal Atomic # 8 Polarization: -12.12 SS G_CDS: 0.08 Total: -12.03 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -5.02 Total: 16.43 kcal Atomic # 16 Polarization: -1.70 SS G_CDS: -2.21 Total: -3.91 kcal Total LS contribution 6.24 Total: 6.24 kcal Total: -33.25 -12.32 -45.57 kcal The number of atoms in the molecule is 52 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. ZINC001207430753.mol2 52 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 -19.793 kcal (2) G-P(sol) polarization free energy of solvation -33.251 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -53.044 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.316 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.567 kcal (6) G-S(sol) free energy of system = (1) + (5) -65.360 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.69 seconds