Wall clock time and date at job start Sat Apr 11 2020 06:12:55 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 C 1.53001 * 109.47652 * 2 1 4 4 C 1.53003 * 109.47492 * 120.00637 * 2 1 3 5 5 H 1.09004 * 109.46498 * 299.99849 * 4 2 1 6 6 C 1.52998 * 109.46869 * 59.99236 * 4 2 1 7 7 N 1.46501 * 109.46989 * 175.00397 * 6 4 2 8 8 C 1.34773 * 120.00018 * 180.02562 * 7 6 4 9 9 O 1.21279 * 120.00171 * 355.21292 * 8 7 6 10 10 C 1.50704 * 120.00165 * 175.21727 * 8 7 6 11 11 N 1.46500 * 109.47061 * 35.82984 * 10 8 7 12 12 C 1.34780 * 119.99829 * 58.97358 * 11 10 8 13 13 N 1.34777 * 119.99924 * 175.09510 * 12 11 10 14 14 O 1.21587 * 120.00081 * 355.10074 * 12 11 10 15 15 C 1.52997 * 109.47471 * 155.83330 * 10 8 7 16 16 C 1.53005 * 109.47094 * 179.97438 * 15 10 8 17 17 C 1.52999 * 109.47060 * 300.00154 * 16 15 10 18 18 C 1.52997 * 109.47293 * 59.99968 * 17 16 15 19 19 C 1.52999 * 109.47195 * 299.99689 * 18 17 16 20 20 N 1.46498 * 109.47123 * 179.97438 * 4 2 1 21 21 C 1.36931 * 120.00046 * 85.00375 * 20 4 2 22 22 H 1.07999 * 119.99838 * 359.97438 * 21 20 4 23 23 C 1.38812 * 120.00143 * 179.97438 * 21 20 4 24 24 N 1.31616 * 119.99986 * 179.97438 * 23 21 20 25 25 Si 1.86800 * 119.99792 * 359.97438 * 23 21 20 26 26 H 1.48496 * 109.47153 * 90.00449 * 25 23 21 27 27 H 1.48500 * 109.46821 * 210.00296 * 25 23 21 28 28 H 1.48499 * 109.47203 * 329.99972 * 25 23 21 29 29 H 1.09004 * 109.47125 * 299.99899 * 1 2 3 30 30 H 1.09001 * 109.47343 * 59.99364 * 1 2 3 31 31 H 1.09003 * 109.47590 * 179.97438 * 1 2 3 32 32 H 1.09010 * 109.47023 * 240.00528 * 2 1 3 33 33 H 1.08993 * 109.47292 * 180.02562 * 3 2 1 34 34 H 1.09001 * 109.47265 * 300.00683 * 3 2 1 35 35 H 1.08997 * 109.46752 * 60.00289 * 3 2 1 36 36 H 1.09000 * 109.47313 * 55.00672 * 6 4 2 37 37 H 1.08999 * 109.47398 * 295.00422 * 6 4 2 38 38 H 0.96997 * 120.00353 * 359.97438 * 7 6 4 39 39 H 0.97002 * 120.00410 * 238.97583 * 11 10 8 40 40 H 0.96992 * 119.99724 * 0.02562 * 13 12 11 41 41 H 0.96998 * 119.99995 * 179.72651 * 13 12 11 42 42 H 1.08997 * 109.47333 * 300.00248 * 15 10 8 43 43 H 1.08999 * 109.46819 * 59.99806 * 15 10 8 44 44 H 1.09000 * 109.46450 * 179.97438 * 16 15 10 45 45 H 1.08994 * 109.46860 * 60.00063 * 16 15 10 46 46 H 1.09001 * 109.46974 * 299.99440 * 17 16 15 47 47 H 1.08999 * 109.46872 * 180.02562 * 17 16 15 48 48 H 1.08997 * 109.47333 * 179.97438 * 18 17 16 49 49 H 1.08999 * 109.46819 * 59.99948 * 18 17 16 50 50 H 1.08994 * 109.47073 * 300.00129 * 19 18 17 51 51 H 1.08999 * 109.46856 * 179.97438 * 19 18 17 52 52 H 0.97000 * 119.99526 * 264.99118 * 20 4 2 53 53 H 0.97002 * 120.00308 * 180.02562 * 24 23 21 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 2.0401 1.4425 0.0000 4 6 2.0401 -0.7214 1.2492 5 1 1.6767 -0.2076 2.1392 6 6 1.5299 -2.1638 1.2491 7 7 2.1141 -2.8884 2.3804 8 6 1.8059 -4.1849 2.5818 9 8 0.9794 -4.7279 1.8797 10 6 2.4881 -4.9599 3.6795 11 7 2.7151 -4.0810 4.8294 12 6 1.6718 -3.4781 5.4331 13 7 1.8684 -2.7494 6.5497 14 8 0.5531 -3.5918 4.9705 15 6 1.6021 -6.1336 4.1018 16 6 2.2951 -6.9208 5.2159 17 6 3.6366 -7.4518 4.7066 18 6 4.5226 -6.2781 4.2843 19 6 3.8297 -5.4910 3.1702 20 7 3.5050 -0.7219 1.2488 21 6 4.1902 0.3526 1.7498 22 1 3.6506 1.2006 2.1448 23 6 5.5783 0.3520 1.7499 24 7 6.2369 1.3850 2.2310 25 14 6.5116 -1.1151 1.0672 26 1 6.7594 -0.9130 -0.3829 27 1 7.8090 -1.2502 1.7770 28 1 5.7084 -2.3484 1.2650 29 1 -0.3633 0.5138 0.8900 30 1 -0.3634 0.5139 -0.8899 31 1 -0.3634 -1.0277 -0.0005 32 1 1.8933 -0.5138 -0.8901 33 1 3.1300 1.4424 -0.0005 34 1 1.6767 1.9564 -0.8899 35 1 1.6768 1.9562 0.8900 36 1 1.8182 -2.6511 0.3177 37 1 0.4436 -2.1651 1.3387 38 1 2.7232 -2.4353 2.9842 39 1 3.6163 -3.9328 5.1562 40 1 2.7609 -2.6585 6.9185 41 1 1.1182 -2.3122 6.9820 42 1 0.6463 -5.7553 4.4642 43 1 1.4333 -6.7875 3.2462 44 1 1.6637 -7.7566 5.5169 45 1 2.4643 -6.2671 6.0714 46 1 3.4674 -8.1056 3.8510 47 1 4.1301 -8.0129 5.5001 48 1 5.4784 -6.6564 3.9219 49 1 4.6918 -5.6244 5.1400 50 1 3.6605 -6.1447 2.3147 51 1 4.4607 -4.6546 2.8698 52 1 3.9896 -1.4835 0.8937 53 1 7.2069 1.3847 2.2308 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 ZINC001698972783.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 06:12:55 Heat of formation + Delta-G solvation = -76.732832 kcal Electronic energy + Delta-G solvation = -32876.251625 eV Core-core repulsion = 28782.254732 eV Total energy + Delta-G solvation = -4093.996893 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -41.10790 -38.89218 -37.96264 -37.07434 -34.18111 -33.74252 -33.21462 -33.15102 -31.02180 -30.79464 -29.73950 -28.11520 -26.22984 -24.24716 -23.01882 -22.86819 -21.85407 -21.50735 -20.25633 -19.57229 -19.14837 -18.37231 -17.89743 -17.21864 -16.72104 -15.91703 -15.34637 -15.31106 -14.94803 -14.77093 -14.38469 -14.37655 -14.08833 -13.83992 -13.74573 -13.54544 -13.22089 -12.89585 -12.68870 -12.54429 -12.42496 -12.33369 -12.25504 -12.02187 -11.61374 -11.31386 -11.21560 -11.11132 -10.90090 -10.81419 -10.77042 -10.62822 -10.46281 -10.29328 -10.14316 -10.12770 -9.97566 -9.80122 -9.63150 -9.51816 -9.00104 -8.82951 -8.56050 -7.36119 -5.85437 -3.20787 2.64518 3.09321 3.20581 3.26303 3.32148 3.37625 3.57090 4.40910 4.49623 4.52953 4.56056 4.63502 4.96372 5.07323 5.15020 5.18728 5.24233 5.30940 5.32791 5.41237 5.46121 5.57908 5.61968 5.71063 5.76792 5.83702 5.86551 5.90792 5.95887 5.96226 6.04324 6.14595 6.16512 6.21343 6.30667 6.35213 6.42388 6.43562 6.54641 6.60796 6.65502 6.68617 6.88751 6.95230 7.03391 7.33259 7.88973 7.91553 7.96630 8.32790 8.59006 8.63874 9.11226 9.83511 10.04151 11.32240 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.010321 B = 0.004530 C = 0.003865 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2712.143135 B = 6179.686269 C = 7243.307525 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.107 4.107 3 C -0.139 4.139 4 C 0.176 3.824 5 H 0.060 0.940 6 C 0.112 3.888 7 N -0.707 5.707 8 C 0.521 3.479 9 O -0.546 6.546 10 C 0.187 3.813 11 N -0.737 5.737 12 C 0.706 3.294 13 N -0.865 5.865 14 O -0.579 6.579 15 C -0.115 4.115 16 C -0.114 4.114 17 C -0.121 4.121 18 C -0.116 4.116 19 C -0.123 4.123 20 N -0.746 5.746 21 C -0.237 4.237 22 H 0.094 0.906 23 C 0.006 3.994 24 N -0.931 5.931 25 Si 0.880 3.120 26 H -0.286 1.286 27 H -0.293 1.293 28 H -0.278 1.278 29 H 0.051 0.949 30 H 0.047 0.953 31 H 0.051 0.949 32 H 0.061 0.939 33 H 0.088 0.912 34 H 0.031 0.969 35 H 0.043 0.957 36 H 0.059 0.941 37 H 0.069 0.931 38 H 0.406 0.594 39 H 0.400 0.600 40 H 0.397 0.603 41 H 0.414 0.586 42 H 0.085 0.915 43 H 0.079 0.921 44 H 0.062 0.938 45 H 0.061 0.939 46 H 0.064 0.936 47 H 0.061 0.939 48 H 0.070 0.930 49 H 0.064 0.936 50 H 0.087 0.913 51 H 0.078 0.922 52 H 0.361 0.639 53 H 0.259 0.741 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.900 -13.604 7.476 16.278 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 -0.207 4.207 2 C -0.129 4.129 3 C -0.196 4.196 4 C 0.066 3.934 5 H 0.078 0.922 6 C -0.013 4.013 7 N -0.358 5.358 8 C 0.305 3.695 9 O -0.424 6.424 10 C 0.097 3.903 11 N -0.396 5.396 12 C 0.404 3.596 13 N -0.433 5.433 14 O -0.455 6.455 15 C -0.153 4.153 16 C -0.151 4.151 17 C -0.158 4.158 18 C -0.153 4.153 19 C -0.161 4.161 20 N -0.389 5.389 21 C -0.367 4.367 22 H 0.112 0.888 23 C -0.190 4.190 24 N -0.579 5.579 25 Si 0.710 3.290 26 H -0.212 1.212 27 H -0.220 1.220 28 H -0.204 1.204 29 H 0.070 0.930 30 H 0.066 0.934 31 H 0.070 0.930 32 H 0.080 0.920 33 H 0.107 0.893 34 H 0.050 0.950 35 H 0.062 0.938 36 H 0.078 0.922 37 H 0.088 0.912 38 H 0.242 0.758 39 H 0.235 0.765 40 H 0.224 0.776 41 H 0.246 0.754 42 H 0.104 0.896 43 H 0.098 0.902 44 H 0.081 0.919 45 H 0.079 0.921 46 H 0.082 0.918 47 H 0.080 0.920 48 H 0.088 0.912 49 H 0.082 0.918 50 H 0.105 0.895 51 H 0.097 0.903 52 H 0.194 0.806 53 H 0.069 0.931 Dipole moment (debyes) X Y Z Total from point charges -6.307 -13.963 6.547 16.662 hybrid contribution 1.716 -0.241 0.257 1.752 sum -4.591 -14.204 6.804 16.405 Atomic orbital electron populations 1.21932 0.96583 1.01064 1.01107 1.21680 0.93849 0.97959 0.99438 1.21821 1.04310 0.94279 0.99198 1.20514 0.84854 0.91437 0.96564 0.92195 1.21748 0.98035 0.92925 0.88554 1.45836 1.48527 1.10844 1.30597 1.20457 0.81983 0.82455 0.84586 1.90645 1.32958 1.69684 1.49069 1.20343 0.96543 0.89648 0.83744 1.45255 1.09079 1.51142 1.34145 1.15967 0.84689 0.78493 0.80479 1.42965 1.13919 1.57053 1.29381 1.91010 1.22393 1.66129 1.66010 1.21742 0.99186 0.95098 0.99304 1.21488 0.96120 0.99366 0.98172 1.21575 0.95793 0.97491 1.00961 1.21509 0.98584 0.97222 0.98006 1.21821 0.93719 1.01085 0.99478 1.42820 1.00417 1.20534 1.75086 1.19058 0.89238 0.96017 1.32395 0.88847 1.24643 0.96149 0.97075 1.01097 1.69691 1.06976 1.29744 1.51483 0.86639 0.79734 0.83464 0.79132 1.21235 1.21951 1.20418 0.93034 0.93436 0.93018 0.92048 0.89344 0.94978 0.93825 0.92234 0.91235 0.75843 0.76478 0.77560 0.75379 0.89612 0.90223 0.91889 0.92062 0.91758 0.91979 0.91172 0.91767 0.89474 0.90286 0.80634 0.93100 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 -0.15 -2.19 8.84 37.16 0.33 -1.86 16 2 C -0.11 -1.84 2.69 -90.62 -0.24 -2.09 16 3 C -0.14 -2.56 8.26 37.16 0.31 -2.25 16 4 C 0.18 3.25 2.18 -67.93 -0.15 3.10 16 5 H 0.06 1.18 8.08 -51.93 -0.42 0.76 16 6 C 0.11 1.96 4.73 -4.04 -0.02 1.95 16 7 N -0.71 -12.20 5.15 -60.29 -0.31 -12.51 16 8 C 0.52 9.00 5.14 -10.99 -0.06 8.95 16 9 O -0.55 -11.09 16.09 5.56 0.09 -11.00 16 10 C 0.19 2.46 0.59 -132.97 -0.08 2.39 16 11 N -0.74 -8.33 3.31 -53.50 -0.18 -8.50 16 12 C 0.71 9.25 8.02 -86.91 -0.70 8.55 16 13 N -0.87 -7.85 8.88 27.64 0.25 -7.60 16 14 O -0.58 -10.20 14.48 5.29 0.08 -10.13 16 15 C -0.11 -1.48 4.06 -26.73 -0.11 -1.59 16 16 C -0.11 -1.10 5.77 -26.73 -0.15 -1.26 16 17 C -0.12 -1.00 5.92 -26.73 -0.16 -1.16 16 18 C -0.12 -0.98 5.75 -26.73 -0.15 -1.14 16 19 C -0.12 -1.37 4.77 -26.73 -0.13 -1.50 16 20 N -0.75 -15.87 4.24 -53.43 -0.23 -16.10 16 21 C -0.24 -5.98 8.05 -15.06 -0.12 -6.10 16 22 H 0.09 2.57 7.62 -52.49 -0.40 2.17 16 23 C 0.01 0.17 5.50 -17.43 -0.10 0.07 16 24 N -0.93 -27.26 13.97 55.49 0.78 -26.49 16 25 Si 0.88 20.56 27.73 -169.99 -4.71 15.85 16 26 H -0.29 -6.88 7.11 56.52 0.40 -6.48 16 27 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 28 H -0.28 -6.01 6.52 56.52 0.37 -5.64 16 29 H 0.05 0.75 8.14 -51.93 -0.42 0.32 16 30 H 0.05 0.64 8.14 -51.93 -0.42 0.21 16 31 H 0.05 0.73 6.55 -51.93 -0.34 0.39 16 32 H 0.06 1.07 8.14 -51.92 -0.42 0.64 16 33 H 0.09 1.93 6.01 -51.93 -0.31 1.62 16 34 H 0.03 0.52 8.14 -51.93 -0.42 0.10 16 35 H 0.04 0.80 8.14 -51.93 -0.42 0.38 16 36 H 0.06 1.06 8.14 -51.93 -0.42 0.64 16 37 H 0.07 1.24 6.71 -51.93 -0.35 0.89 16 38 H 0.41 7.02 7.39 -40.82 -0.30 6.72 16 39 H 0.40 3.55 7.31 -40.82 -0.30 3.25 16 40 H 0.40 2.50 8.85 -40.82 -0.36 2.13 16 41 H 0.41 3.46 8.93 -40.82 -0.36 3.10 16 42 H 0.09 1.35 6.41 -51.93 -0.33 1.02 16 43 H 0.08 1.08 7.87 -51.93 -0.41 0.67 16 44 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 45 H 0.06 0.59 7.60 -51.93 -0.39 0.19 16 46 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 47 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 48 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 49 H 0.06 0.49 6.84 -51.93 -0.36 0.13 16 50 H 0.09 0.99 8.14 -51.93 -0.42 0.57 16 51 H 0.08 0.95 8.14 -51.93 -0.42 0.53 16 52 H 0.36 7.79 5.66 -40.82 -0.23 7.56 16 53 H 0.26 7.31 8.31 -40.82 -0.34 6.97 16 LS Contribution 402.72 15.07 6.07 6.07 Total: -1.00 -32.90 402.72 -8.81 -41.71 By element: Atomic # 1 Polarization: 31.76 SS G_CDS: -9.11 Total: 22.65 kcal Atomic # 6 Polarization: 7.58 SS G_CDS: -1.53 Total: 6.05 kcal Atomic # 7 Polarization: -71.51 SS G_CDS: 0.31 Total: -71.20 kcal Atomic # 8 Polarization: -21.30 SS G_CDS: 0.17 Total: -21.13 kcal Atomic # 14 Polarization: 20.56 SS G_CDS: -4.71 Total: 15.85 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -32.90 -8.81 -41.71 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. ZINC001698972783.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 -35.026 kcal (2) G-P(sol) polarization free energy of solvation -32.895 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -67.921 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.811 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.707 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.733 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.80 seconds