Wall clock time and date at job start Tue Mar 31 2020 20:51:21 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 1.31001 * 1 3 3 C 1.50705 * 119.99784 * 2 1 4 4 C 1.53007 * 109.46789 * 119.99922 * 3 2 1 5 5 O 1.42897 * 109.47261 * 0.02562 * 3 2 1 6 6 C 1.52991 * 109.47568 * 239.99801 * 3 2 1 7 7 C 1.50701 * 109.46801 * 59.25243 * 6 3 2 8 8 O 1.21275 * 120.00200 * 354.35272 * 7 6 3 9 9 N 1.34783 * 119.99764 * 174.34579 * 7 6 3 10 10 C 1.46928 * 120.63941 * 180.02562 * 9 7 6 11 11 C 1.53192 * 108.77509 * 126.38185 * 10 9 7 12 12 C 1.53047 * 109.33311 * 54.63326 * 11 10 9 13 13 C 1.53028 * 109.43961 * 58.70572 * 12 11 10 14 14 C 1.53191 * 109.33481 * 181.22977 * 13 12 11 15 15 N 1.46937 * 108.78018 * 305.37914 * 14 13 12 16 16 C 1.36940 * 120.64164 * 233.61682 * 15 14 13 17 17 H 1.07997 * 120.00138 * 30.56363 * 16 15 14 18 18 C 1.38808 * 119.99784 * 210.56460 * 16 15 14 19 19 N 1.31616 * 120.00200 * 196.97270 * 18 16 15 20 20 Si 1.86808 * 120.00185 * 16.97431 * 18 16 15 21 21 H 1.48497 * 109.46996 * 273.22462 * 20 18 16 22 22 H 1.48496 * 109.46919 * 33.22152 * 20 18 16 23 23 H 1.48500 * 109.47125 * 153.22388 * 20 18 16 24 24 C 1.46929 * 118.71092 * 53.89085 * 15 14 13 25 25 C 1.53045 * 109.38887 * 178.73293 * 12 11 10 26 26 C 1.53031 * 109.54909 * 298.69223 * 12 11 10 27 27 C 1.46923 * 120.64411 * 0.02562 * 9 7 6 28 28 H 1.08003 * 119.99506 * 179.97438 * 1 2 3 29 29 H 1.08003 * 120.00100 * 359.97438 * 1 2 3 30 30 H 1.07993 * 120.00107 * 180.02562 * 2 1 3 31 31 H 1.09002 * 109.47096 * 184.00278 * 4 3 2 32 32 H 1.09003 * 109.47220 * 304.00749 * 4 3 2 33 33 H 1.09002 * 109.46704 * 64.00496 * 4 3 2 34 34 H 0.96703 * 114.00060 * 300.00074 * 5 3 2 35 35 H 1.09003 * 109.47414 * 299.25708 * 6 3 2 36 36 H 1.08999 * 109.47274 * 179.25220 * 6 3 2 37 37 H 1.09000 * 109.58848 * 6.59308 * 10 9 7 38 38 H 1.08997 * 109.58669 * 246.16469 * 10 9 7 39 39 H 1.08999 * 109.49282 * 294.67612 * 11 10 9 40 40 H 1.08996 * 109.49486 * 174.59190 * 11 10 9 41 41 H 1.09001 * 109.49321 * 61.27382 * 13 12 11 42 42 H 1.09001 * 109.49685 * 301.18957 * 13 12 11 43 43 H 1.09002 * 109.58782 * 185.58697 * 14 13 12 44 44 H 1.09000 * 109.70409 * 65.23188 * 14 13 12 45 45 H 0.97000 * 120.00523 * 179.97438 * 19 18 16 46 46 H 1.09000 * 109.58664 * 65.88444 * 24 15 14 47 47 H 1.09001 * 109.58225 * 186.30949 * 24 15 14 48 48 H 1.08996 * 109.49694 * 298.67806 * 25 12 11 49 49 H 1.08998 * 109.49327 * 58.76897 * 25 12 11 50 50 H 1.08997 * 109.49311 * 181.25762 * 26 12 11 51 51 H 1.08998 * 109.49182 * 301.34483 * 26 12 11 52 52 H 1.09001 * 109.58813 * 353.40694 * 27 9 7 53 53 H 1.09002 * 109.58744 * 113.68136 * 27 9 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 6 1.3100 0.0000 0.0000 3 6 2.0635 1.3052 0.0000 4 6 2.9431 1.3862 1.2493 5 8 1.1349 2.3913 0.0006 6 6 2.9431 1.3863 -1.2491 7 6 2.0785 1.2880 -2.4795 8 8 0.8919 1.0628 -2.3704 9 7 2.6241 1.4506 -3.7012 10 6 1.7943 1.3582 -4.9102 11 6 1.9963 2.6267 -5.7450 12 6 3.4893 2.8192 -6.0209 13 6 4.0325 1.5950 -6.7612 14 6 5.5332 1.7766 -7.0089 15 7 5.7461 3.0498 -7.7110 16 6 6.4524 3.0907 -8.8835 17 1 6.4391 2.2424 -9.5517 18 6 7.1853 4.2224 -9.2131 19 7 7.5842 4.4101 -10.4532 20 14 7.6057 5.4792 -7.8964 21 1 6.4939 6.4556 -7.7712 22 1 7.8056 4.7875 -6.5977 23 1 8.8517 6.1936 -8.2738 24 6 5.1918 4.2789 -7.1273 25 6 3.6900 4.0688 -6.8815 26 6 4.2373 2.9875 -4.6965 27 6 4.0601 1.7236 -3.8498 28 1 -0.5399 -0.9354 -0.0004 29 1 -0.5400 0.9353 0.0004 30 1 1.8500 -0.9352 -0.0004 31 1 3.4335 2.3590 1.2860 32 1 2.3250 1.2571 2.1379 33 1 3.6974 0.6001 1.2141 34 1 0.5432 2.4034 -0.7642 35 1 3.6603 0.5655 -1.2425 36 1 3.4780 2.3361 -1.2558 37 1 0.7452 1.2701 -4.6275 38 1 2.0925 0.4864 -5.4924 39 1 1.6137 3.4877 -5.1969 40 1 1.4614 2.5295 -6.6897 41 1 3.5166 1.4885 -7.7155 42 1 3.8689 0.7025 -6.1572 43 1 5.9046 0.9550 -7.6215 44 1 6.0638 1.7913 -6.0569 45 1 8.0961 5.2012 -10.6836 46 1 5.6929 4.4935 -6.1834 47 1 5.3378 5.1094 -7.8179 48 1 3.1775 3.9401 -7.8348 49 1 3.2825 4.9367 -6.3632 50 1 5.2971 3.1468 -4.8950 51 1 3.8347 3.8453 -4.1579 52 1 4.5066 1.8766 -2.8673 53 1 4.5432 0.8803 -4.3433 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 ZINC001328503447.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 20:51:21 Heat of formation + Delta-G solvation = -41.545243 kcal Electronic energy + Delta-G solvation = -31430.185904 eV Core-core repulsion = 27495.878160 eV Total energy + Delta-G solvation = -3934.307744 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -40.95182 -39.60418 -37.82561 -36.07709 -33.78448 -33.15413 -31.99744 -31.31452 -31.00067 -30.50787 -28.85966 -27.88389 -25.00143 -23.75086 -23.38585 -22.71954 -22.06316 -20.97407 -19.93763 -19.45676 -17.92116 -17.52455 -16.93578 -16.51954 -16.38649 -15.73974 -15.34432 -15.09215 -14.78268 -14.49453 -14.22609 -14.02770 -13.97612 -13.77129 -13.56227 -13.20473 -12.87608 -12.70992 -12.53288 -12.45336 -12.40612 -12.20914 -12.09639 -11.89217 -11.81728 -11.69474 -11.56894 -11.24591 -11.17347 -10.80753 -10.64067 -10.52926 -10.45727 -10.32168 -10.08123 -9.91133 -9.83516 -9.60893 -9.45158 -9.23513 -8.73763 -8.55345 -6.93113 -5.96757 -3.36501 2.22914 2.44430 2.83741 3.27827 3.43593 3.46435 4.01669 4.23161 4.46298 4.49482 4.53845 4.69178 4.84035 4.85340 4.95438 5.01061 5.08189 5.09285 5.15580 5.21927 5.27795 5.30796 5.34030 5.43946 5.50371 5.53344 5.61151 5.69862 5.75988 5.79867 5.81984 5.84515 5.87006 5.93009 6.00998 6.07673 6.10644 6.21865 6.35915 6.38742 6.45807 6.47995 6.56003 6.66182 6.68050 6.68553 6.69336 6.95343 7.24462 7.50520 7.97696 7.99883 8.32217 8.92906 9.69757 10.09017 11.19583 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.023857 B = 0.002806 C = 0.002682 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1173.362990 B = 9977.315314 C =10439.117238 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.188 4.188 3 C 0.178 3.822 4 C -0.135 4.135 5 O -0.561 6.561 6 C -0.168 4.168 7 C 0.516 3.484 8 O -0.545 6.545 9 N -0.604 5.604 10 C 0.112 3.888 11 C -0.123 4.123 12 C -0.047 4.047 13 C -0.127 4.127 14 C 0.148 3.852 15 N -0.605 5.605 16 C -0.259 4.259 17 H 0.083 0.917 18 C 0.023 3.977 19 N -0.912 5.912 20 Si 0.889 3.111 21 H -0.287 1.287 22 H -0.273 1.273 23 H -0.305 1.305 24 C 0.123 3.877 25 C -0.122 4.122 26 C -0.129 4.129 27 C 0.104 3.896 28 H 0.092 0.908 29 H 0.100 0.900 30 H 0.107 0.893 31 H 0.065 0.935 32 H 0.066 0.934 33 H 0.071 0.929 34 H 0.384 0.616 35 H 0.103 0.897 36 H 0.102 0.898 37 H 0.088 0.912 38 H 0.070 0.930 39 H 0.062 0.938 40 H 0.074 0.926 41 H 0.063 0.937 42 H 0.055 0.945 43 H 0.060 0.940 44 H 0.022 0.978 45 H 0.263 0.737 46 H 0.025 0.975 47 H 0.072 0.928 48 H 0.065 0.935 49 H 0.051 0.949 50 H 0.087 0.913 51 H 0.062 0.938 52 H 0.080 0.920 53 H 0.076 0.924 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.760 -7.375 20.039 23.911 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 -0.187 4.187 2 C -0.207 4.207 3 C 0.136 3.864 4 C -0.192 4.192 5 O -0.371 6.371 6 C -0.208 4.208 7 C 0.305 3.695 8 O -0.424 6.424 9 N -0.337 5.337 10 C -0.010 4.010 11 C -0.161 4.161 12 C -0.047 4.047 13 C -0.166 4.166 14 C 0.022 3.978 15 N -0.329 5.329 16 C -0.387 4.387 17 H 0.101 0.899 18 C -0.176 4.176 19 N -0.555 5.555 20 Si 0.720 3.280 21 H -0.215 1.215 22 H -0.198 1.198 23 H -0.233 1.233 24 C -0.003 4.003 25 C -0.161 4.161 26 C -0.167 4.167 27 C -0.018 4.018 28 H 0.110 0.890 29 H 0.118 0.882 30 H 0.125 0.875 31 H 0.084 0.916 32 H 0.085 0.915 33 H 0.090 0.910 34 H 0.236 0.764 35 H 0.121 0.879 36 H 0.120 0.880 37 H 0.106 0.894 38 H 0.088 0.912 39 H 0.081 0.919 40 H 0.092 0.908 41 H 0.082 0.918 42 H 0.073 0.927 43 H 0.078 0.922 44 H 0.040 0.960 45 H 0.072 0.928 46 H 0.043 0.957 47 H 0.090 0.910 48 H 0.084 0.916 49 H 0.069 0.931 50 H 0.106 0.894 51 H 0.080 0.920 52 H 0.099 0.901 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges -10.965 -7.269 20.496 24.355 hybrid contribution 0.185 0.651 -0.145 0.692 sum -10.780 -6.618 20.351 23.962 Atomic orbital electron populations 1.23595 0.95954 1.01572 0.97561 1.23205 0.96803 0.97689 1.02958 1.19818 0.88091 0.85285 0.93189 1.21714 0.98730 1.02664 0.96112 1.86440 1.50912 1.48840 1.50889 1.22482 0.99833 1.05172 0.93309 1.20577 0.88489 0.75986 0.84448 1.90645 1.16039 1.49535 1.86190 1.48172 1.09654 1.69940 1.05909 1.21647 0.96099 0.98316 0.84973 1.21999 0.96996 0.97331 0.99760 1.20380 0.93308 0.96784 0.94276 1.22151 0.99107 0.95758 0.99582 1.20949 0.92265 0.89315 0.95238 1.44324 1.61676 1.01571 1.25341 1.18912 1.22116 1.03577 0.94134 0.89895 1.25359 0.97748 0.98294 0.96180 1.69795 1.40539 1.28527 1.16648 0.86911 0.76674 0.81374 0.83006 1.21468 1.19815 1.23304 1.21508 0.91161 0.90817 0.96795 1.22119 0.99214 0.95660 0.99146 1.22059 1.02464 0.96587 0.95551 1.21879 0.80198 0.98897 1.00862 0.88988 0.88167 0.87476 0.91557 0.91515 0.91004 0.76367 0.87911 0.88022 0.89382 0.91224 0.91948 0.90764 0.91847 0.92657 0.92173 0.96030 0.92755 0.95736 0.90958 0.91607 0.93073 0.89437 0.91973 0.90136 0.90551 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.52 12.57 29.01 0.36 -1.16 16 2 C -0.19 -1.82 7.43 -36.02 -0.27 -2.09 16 3 C 0.18 1.67 1.08 -91.77 -0.10 1.57 16 4 C -0.14 -1.02 8.82 37.16 0.33 -0.69 16 5 O -0.56 -6.43 11.92 -51.04 -0.61 -7.04 16 6 C -0.17 -1.44 3.40 -27.89 -0.09 -1.54 16 7 C 0.52 5.69 7.18 -10.98 -0.08 5.61 16 8 O -0.55 -7.13 11.37 -10.25 -0.12 -7.25 16 9 N -0.60 -6.48 2.97 -172.79 -0.51 -7.00 16 10 C 0.11 1.25 5.97 -3.71 -0.02 1.22 16 11 C -0.12 -1.45 4.90 -26.61 -0.13 -1.58 16 12 C -0.05 -0.64 0.51 -154.43 -0.08 -0.72 16 13 C -0.13 -1.85 4.15 -26.62 -0.11 -1.96 16 14 C 0.15 2.67 6.04 -3.70 -0.02 2.64 16 15 N -0.61 -13.57 2.74 -172.05 -0.47 -14.04 16 16 C -0.26 -7.04 10.04 -15.06 -0.15 -7.19 16 17 H 0.08 2.43 8.06 -52.49 -0.42 2.00 16 18 C 0.02 0.65 5.28 -17.43 -0.09 0.56 16 19 N -0.91 -27.65 13.97 55.49 0.78 -26.88 16 20 Si 0.89 22.00 24.30 -169.99 -4.13 17.87 16 21 H -0.29 -6.83 6.40 56.52 0.36 -6.46 16 22 H -0.27 -6.56 6.83 56.52 0.39 -6.17 16 23 H -0.30 -7.73 7.11 56.52 0.40 -7.33 16 24 C 0.12 2.52 3.74 -3.49 -0.01 2.50 16 25 C -0.12 -2.01 4.92 -26.39 -0.13 -2.14 16 26 C -0.13 -1.59 4.14 -26.64 -0.11 -1.70 16 27 C 0.10 1.04 5.87 -3.73 -0.02 1.02 16 28 H 0.09 0.83 8.06 -52.48 -0.42 0.41 16 29 H 0.10 1.07 6.41 -52.48 -0.34 0.73 16 30 H 0.11 0.91 8.06 -52.49 -0.42 0.49 16 31 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 32 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 33 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 34 H 0.38 4.43 5.86 45.56 0.27 4.70 16 35 H 0.10 0.70 8.12 -51.93 -0.42 0.28 16 36 H 0.10 0.81 7.40 -51.93 -0.38 0.42 16 37 H 0.09 1.04 7.01 -51.93 -0.36 0.68 16 38 H 0.07 0.76 6.67 -51.93 -0.35 0.41 16 39 H 0.06 0.76 8.14 -51.93 -0.42 0.33 16 40 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 41 H 0.06 1.01 8.14 -51.93 -0.42 0.58 16 42 H 0.05 0.69 4.99 -51.93 -0.26 0.43 16 43 H 0.06 1.12 7.93 -51.93 -0.41 0.70 16 44 H 0.02 0.37 6.74 -51.93 -0.35 0.02 16 45 H 0.26 7.58 8.31 -40.82 -0.34 7.24 16 46 H 0.02 0.50 5.63 -51.93 -0.29 0.20 16 47 H 0.07 1.68 4.48 -51.93 -0.23 1.44 16 48 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 49 H 0.05 0.77 8.14 -51.93 -0.42 0.34 16 50 H 0.09 1.24 4.98 -51.93 -0.26 0.98 16 51 H 0.06 0.76 8.14 -51.93 -0.42 0.33 16 52 H 0.08 0.64 5.89 -51.93 -0.31 0.34 16 53 H 0.08 0.76 6.74 -51.93 -0.35 0.41 16 LS Contribution 378.23 15.07 5.70 5.70 Total: -1.00 -31.02 378.23 -8.41 -39.43 By element: Atomic # 1 Polarization: 13.15 SS G_CDS: -8.31 Total: 4.84 kcal Atomic # 6 Polarization: -4.90 SS G_CDS: -0.73 Total: -5.63 kcal Atomic # 7 Polarization: -47.70 SS G_CDS: -0.21 Total: -47.91 kcal Atomic # 8 Polarization: -13.56 SS G_CDS: -0.72 Total: -14.29 kcal Atomic # 14 Polarization: 22.00 SS G_CDS: -4.13 Total: 17.87 kcal Total LS contribution 5.70 Total: 5.70 kcal Total: -31.02 -8.41 -39.43 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. ZINC001328503447.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 -2.119 kcal (2) G-P(sol) polarization free energy of solvation -31.021 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -33.140 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.405 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.426 kcal (6) G-S(sol) free energy of system = (1) + (5) -41.545 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds