Wall clock time and date at job start Sat Apr 11 2020 06:12:42 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 1.52994 * 1 3 3 H 1.08999 * 109.47313 * 2 1 4 4 C 1.50701 * 109.47579 * 240.00291 * 2 1 3 5 5 H 1.07999 * 119.99544 * 275.00300 * 4 2 1 6 6 C 1.37870 * 120.00218 * 95.00304 * 4 2 1 7 7 N 1.31520 * 119.99832 * 184.92090 * 6 4 2 8 8 Si 1.86801 * 120.00129 * 4.91386 * 6 4 2 9 9 H 1.48500 * 109.46718 * 84.83471 * 8 6 4 10 10 H 1.48499 * 109.47118 * 204.83507 * 8 6 4 11 11 H 1.48499 * 109.47253 * 324.83967 * 8 6 4 12 12 N 1.46506 * 109.47326 * 119.99930 * 2 1 3 13 13 C 1.34775 * 119.99992 * 275.00756 * 12 2 1 14 14 O 1.21282 * 119.99858 * 359.97438 * 13 12 2 15 15 C 1.50700 * 119.99814 * 179.97438 * 13 12 2 16 16 H 1.09005 * 109.48814 * 300.04133 * 15 13 12 17 17 C 1.52564 * 109.49106 * 179.97438 * 15 13 12 18 18 C 1.47093 * 114.32885 * 155.01599 * 17 15 13 19 19 C 1.54861 * 110.18055 * 62.88739 * 18 17 15 20 20 N 1.44666 * 109.55726 * 288.47149 * 19 18 17 21 21 C 1.34779 * 118.81123 * 270.95028 * 20 19 18 22 22 O 1.21511 * 119.99549 * 180.02562 * 21 20 19 23 23 O 1.34628 * 120.00118 * 0.02562 * 21 20 19 24 24 C 1.45203 * 117.00187 * 180.02562 * 23 21 20 25 25 C 1.53003 * 109.46879 * 60.00031 * 24 23 21 26 26 C 1.53004 * 109.47482 * 180.02562 * 24 23 21 27 27 C 1.53003 * 109.46833 * 300.00415 * 24 23 21 28 28 C 1.47605 * 122.54094 * 90.96216 * 20 19 18 29 29 C 1.50883 * 109.49145 * 60.11213 * 15 13 12 30 30 H 1.09000 * 109.47090 * 295.03738 * 1 2 3 31 31 H 1.09003 * 109.47060 * 55.03689 * 1 2 3 32 32 H 1.09000 * 109.46936 * 175.03057 * 1 2 3 33 33 H 0.97001 * 119.99791 * 179.97438 * 7 6 4 34 34 H 0.97003 * 119.99752 * 94.99991 * 12 2 1 35 35 H 1.09005 * 108.51606 * 33.75780 * 17 15 13 36 36 H 1.09000 * 108.39104 * 276.18283 * 17 15 13 37 37 H 1.09005 * 109.32478 * 183.05995 * 18 17 15 38 38 H 1.08997 * 109.32861 * 302.70704 * 18 17 15 39 39 H 1.08993 * 109.44990 * 48.69346 * 19 18 17 40 40 H 1.08999 * 109.44966 * 168.61435 * 19 18 17 41 41 H 1.08990 * 109.47249 * 60.00448 * 25 24 23 42 42 H 1.09002 * 109.46896 * 180.02562 * 25 24 23 43 43 H 1.08997 * 109.47190 * 299.99837 * 25 24 23 44 44 H 1.08994 * 109.46732 * 59.99799 * 26 24 23 45 45 H 1.08993 * 109.46660 * 179.97438 * 26 24 23 46 46 H 1.08996 * 109.46779 * 300.00041 * 26 24 23 47 47 H 1.08989 * 109.47501 * 59.99580 * 27 24 23 48 48 H 1.09002 * 109.46886 * 179.97438 * 27 24 23 49 49 H 1.09003 * 109.46863 * 299.99399 * 27 24 23 50 50 H 1.09002 * 108.94375 * 197.16717 * 28 20 19 51 51 H 1.08999 * 108.87227 * 78.49631 * 28 20 19 52 52 H 1.08991 * 109.36624 * 332.04690 * 29 15 13 53 53 H 1.09003 * 109.36405 * 91.67035 * 29 15 13 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 1.5299 0.0000 0.0000 3 1 1.8933 1.0276 0.0000 4 6 2.0324 -0.7103 -1.2305 5 1 2.1355 -1.7854 -1.2290 6 6 2.3604 0.0122 -2.3579 7 7 2.7061 -0.6131 -3.4622 8 14 2.3137 1.8792 -2.3173 9 1 3.5992 2.3949 -1.7820 10 1 2.1060 2.3991 -3.6927 11 1 1.1988 2.3276 -1.4449 12 7 2.0183 -0.6906 1.1962 13 6 2.1469 -0.0183 2.3572 14 8 1.8588 1.1585 2.4115 15 6 2.6488 -0.7289 3.5878 16 1 1.9765 -1.5513 3.8324 17 6 2.7009 0.2512 4.7558 18 6 2.6042 -0.3798 6.0810 19 6 3.8128 -1.3195 6.3147 20 7 3.6808 -2.4945 5.4811 21 6 3.0130 -3.5613 5.9633 22 8 2.8897 -4.5596 5.2816 23 8 2.4827 -3.5208 7.2000 24 6 1.7775 -4.7061 7.6541 25 6 2.7349 -5.8996 7.6562 26 6 1.2484 -4.4735 9.0708 27 6 0.6057 -4.9940 6.7134 28 6 4.2499 -2.5712 4.1213 29 6 4.0330 -1.2699 3.3274 30 1 -0.3633 0.4349 0.9311 31 1 -0.3633 0.5889 -0.8422 32 1 -0.3633 -1.0238 -0.0890 33 1 2.9365 -0.1048 -4.2555 34 1 2.2490 -1.6318 1.1526 35 1 1.8799 0.9604 4.6495 36 1 3.6406 0.8009 4.7019 37 1 2.5949 0.3937 6.8490 38 1 1.6816 -0.9571 6.1393 39 1 4.7345 -0.7946 6.0640 40 1 3.8407 -1.6214 7.3617 41 1 3.5697 -5.6945 8.3263 42 1 2.2055 -6.7895 7.9966 43 1 3.1114 -6.0651 6.6468 44 1 0.5663 -3.6234 9.0687 45 1 0.7187 -5.3632 9.4113 46 1 2.0830 -4.2682 9.7411 47 1 0.9822 -5.1595 5.7040 48 1 0.0766 -5.8841 7.0539 49 1 -0.0764 -4.1438 6.7119 50 1 3.7781 -3.3955 3.5863 51 1 5.3198 -2.7652 4.1973 52 1 4.1473 -1.4729 2.2627 53 1 4.7734 -0.5312 3.6343 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 ZINC000843779148.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 06:12:42 Heat of formation + Delta-G solvation = -131.767303 kcal Electronic energy + Delta-G solvation = -31861.996940 eV Core-core repulsion = 27733.320823 eV Total energy + Delta-G solvation = -4128.676118 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.50 seconds Orbital eigenvalues (eV) -41.17181 -39.77356 -38.22997 -36.68150 -34.97099 -34.47297 -33.48650 -32.93467 -32.17501 -29.68893 -27.67421 -27.59284 -27.28535 -25.73074 -25.28846 -23.35124 -21.94539 -20.94737 -20.14331 -19.48333 -19.23872 -18.10363 -17.34420 -17.01359 -16.41253 -16.04551 -15.85619 -15.47971 -14.89716 -14.78167 -14.50219 -14.20306 -14.07745 -13.83093 -13.73310 -13.32941 -13.20337 -12.82481 -12.71868 -12.54865 -12.48940 -12.39772 -12.26204 -12.14931 -12.12633 -11.81573 -11.63041 -11.48008 -11.46141 -11.15727 -11.09687 -10.96675 -10.83513 -10.72019 -10.56595 -10.54790 -10.52287 -10.07553 -9.88223 -9.20058 -9.09123 -8.83056 -8.69509 -8.06866 -6.23578 -4.27189 1.99631 2.71293 3.24123 3.29543 3.33469 3.40867 3.64700 3.96419 4.32133 4.47305 4.51468 4.60226 4.66194 4.70520 4.80208 4.90103 4.97044 5.12133 5.20344 5.22938 5.28980 5.29331 5.38368 5.43066 5.46378 5.48189 5.52467 5.62660 5.67801 5.71501 5.73312 5.77802 5.95932 5.98966 6.05722 6.06194 6.12299 6.26568 6.33194 6.34712 6.39131 6.44282 6.53290 6.68965 6.94434 7.20015 7.20927 7.38413 7.57093 8.14438 8.21758 8.58791 8.77481 9.00213 9.38668 10.88177 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018164 B = 0.002723 C = 0.002621 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1541.143601 B =10279.258701 C =10678.621582 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C 0.231 3.769 3 H 0.049 0.951 4 C -0.530 4.530 5 H 0.079 0.921 6 C 0.081 3.919 7 N -0.889 5.889 8 Si 0.875 3.125 9 H -0.273 1.273 10 H -0.286 1.286 11 H -0.261 1.261 12 N -0.703 5.703 13 C 0.504 3.496 14 O -0.559 6.559 15 C -0.102 4.102 16 H 0.091 0.909 17 C -0.108 4.108 18 C -0.131 4.131 19 C 0.113 3.887 20 N -0.587 5.587 21 C 0.648 3.352 22 O -0.568 6.568 23 O -0.361 6.361 24 C 0.135 3.865 25 C -0.183 4.183 26 C -0.140 4.140 27 C -0.184 4.184 28 C 0.128 3.872 29 C -0.128 4.128 30 H 0.028 0.972 31 H 0.051 0.949 32 H 0.046 0.954 33 H 0.268 0.732 34 H 0.393 0.607 35 H 0.078 0.922 36 H 0.063 0.937 37 H 0.077 0.923 38 H 0.064 0.936 39 H 0.081 0.919 40 H 0.082 0.918 41 H 0.058 0.942 42 H 0.068 0.932 43 H 0.088 0.912 44 H 0.066 0.934 45 H 0.079 0.921 46 H 0.065 0.935 47 H 0.089 0.911 48 H 0.069 0.931 49 H 0.060 0.940 50 H 0.097 0.903 51 H 0.070 0.930 52 H 0.093 0.907 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.668 -6.766 25.458 26.394 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 -0.206 4.206 2 C 0.128 3.872 3 H 0.067 0.933 4 C -0.568 4.568 5 H 0.097 0.903 6 C -0.123 4.123 7 N -0.525 5.525 8 Si 0.701 3.299 9 H -0.199 1.199 10 H -0.212 1.212 11 H -0.185 1.185 12 N -0.351 5.351 13 C 0.289 3.711 14 O -0.439 6.439 15 C -0.123 4.123 16 H 0.110 0.890 17 C -0.146 4.146 18 C -0.170 4.170 19 C -0.011 4.011 20 N -0.327 5.327 21 C 0.402 3.598 22 O -0.457 6.457 23 O -0.276 6.276 24 C 0.098 3.902 25 C -0.240 4.240 26 C -0.197 4.197 27 C -0.241 4.241 28 C 0.007 3.993 29 C -0.166 4.166 30 H 0.047 0.953 31 H 0.070 0.930 32 H 0.066 0.934 33 H 0.077 0.923 34 H 0.226 0.774 35 H 0.097 0.903 36 H 0.081 0.919 37 H 0.095 0.905 38 H 0.083 0.917 39 H 0.099 0.901 40 H 0.100 0.900 41 H 0.077 0.923 42 H 0.087 0.913 43 H 0.107 0.893 44 H 0.085 0.915 45 H 0.097 0.903 46 H 0.084 0.916 47 H 0.108 0.892 48 H 0.087 0.913 49 H 0.079 0.921 50 H 0.116 0.884 51 H 0.088 0.912 52 H 0.111 0.889 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges 1.452 -6.238 25.086 25.891 hybrid contribution 0.073 0.471 -0.206 0.520 sum 1.525 -5.767 24.880 25.585 Atomic orbital electron populations 1.22217 0.98716 1.00540 0.99160 1.19114 0.90857 0.94289 0.82891 0.93284 1.21016 1.45143 0.95637 0.94976 0.90323 1.24941 0.93654 0.98586 0.95160 1.69889 1.44808 1.36162 1.01676 0.86892 0.79758 0.85913 0.77311 1.19879 1.21219 1.18535 1.46638 1.64788 1.13835 1.09881 1.20502 0.78257 0.87442 0.84889 1.90620 1.51854 1.16253 1.85156 1.20783 0.97806 0.99220 0.94512 0.89041 1.20313 1.03996 0.97973 0.92302 1.21252 0.98723 0.99163 0.97824 1.21654 0.98958 0.85883 0.94582 1.46707 1.55906 1.13428 1.16610 1.18116 0.77591 0.83528 0.80528 1.90897 1.63425 1.31822 1.59584 1.86312 1.67106 1.43019 1.31134 1.22051 0.91293 0.82430 0.94388 1.22509 0.99445 0.97141 1.04895 1.21848 1.01596 1.03033 0.93228 1.22518 0.97290 1.02161 1.02161 1.21934 0.98337 0.99271 0.79729 1.21885 0.96297 0.96831 1.01629 0.95314 0.92970 0.93443 0.92255 0.77361 0.90333 0.91854 0.90493 0.91720 0.90071 0.89981 0.92337 0.91259 0.89314 0.91456 0.90252 0.91591 0.89248 0.91253 0.92142 0.88430 0.91155 0.88890 0.90620 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -3.29 9.47 37.15 0.35 -2.94 16 2 C 0.23 5.50 2.22 -69.08 -0.15 5.35 16 3 H 0.05 1.28 4.73 -51.93 -0.25 1.03 16 4 C -0.53 -14.20 9.05 -34.44 -0.31 -14.51 16 5 H 0.08 2.22 8.06 -52.49 -0.42 1.80 16 6 C 0.08 2.26 5.47 -17.82 -0.10 2.16 16 7 N -0.89 -26.14 13.96 55.43 0.77 -25.37 16 8 Si 0.87 21.60 26.99 -169.99 -4.59 17.01 16 9 H -0.27 -6.74 7.11 56.52 0.40 -6.33 16 10 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 11 H -0.26 -6.38 6.82 56.52 0.39 -6.00 16 12 N -0.70 -14.05 4.69 -54.93 -0.26 -14.31 16 13 C 0.50 9.49 7.03 -10.99 -0.08 9.41 16 14 O -0.56 -12.55 15.10 5.56 0.08 -12.47 16 15 C -0.10 -1.40 2.14 -93.06 -0.20 -1.60 16 16 H 0.09 1.27 7.48 -51.93 -0.39 0.88 16 17 C -0.11 -1.33 4.34 -29.79 -0.13 -1.46 16 18 C -0.13 -1.27 5.74 -28.59 -0.16 -1.43 16 19 C 0.11 0.99 5.39 -4.04 -0.02 0.97 16 20 N -0.59 -6.28 2.24 -178.25 -0.40 -6.68 16 21 C 0.65 7.98 7.64 54.06 0.41 8.39 16 22 O -0.57 -8.19 11.16 -19.28 -0.22 -8.41 16 23 O -0.36 -3.96 8.58 -40.29 -0.35 -4.30 16 24 C 0.14 1.25 1.13 -90.61 -0.10 1.15 16 25 C -0.18 -1.64 8.37 37.16 0.31 -1.32 16 26 C -0.14 -0.92 8.85 37.16 0.33 -0.59 16 27 C -0.18 -1.79 8.37 37.16 0.31 -1.48 16 28 C 0.13 1.35 6.10 -2.93 -0.02 1.34 16 29 C -0.13 -1.49 5.18 -27.29 -0.14 -1.63 16 30 H 0.03 0.61 8.14 -51.93 -0.42 0.18 16 31 H 0.05 1.17 8.14 -51.93 -0.42 0.74 16 32 H 0.05 1.00 8.14 -51.93 -0.42 0.58 16 33 H 0.27 7.40 8.31 -40.82 -0.34 7.06 16 34 H 0.39 7.03 8.09 -40.82 -0.33 6.70 16 35 H 0.08 1.15 7.01 -51.93 -0.36 0.79 16 36 H 0.06 0.75 7.34 -51.93 -0.38 0.37 16 37 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 38 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 39 H 0.08 0.62 8.05 -51.93 -0.42 0.20 16 40 H 0.08 0.66 7.26 -51.93 -0.38 0.29 16 41 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 42 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 43 H 0.09 1.01 5.88 -51.93 -0.31 0.71 16 44 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 45 H 0.08 0.40 8.14 -51.93 -0.42 -0.03 16 46 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 47 H 0.09 1.10 5.88 -51.94 -0.31 0.79 16 48 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 49 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 50 H 0.10 1.16 6.95 -51.93 -0.36 0.80 16 51 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 52 H 0.09 1.18 7.01 -51.93 -0.36 0.81 16 53 H 0.08 0.81 7.31 -51.93 -0.38 0.43 16 LS Contribution 405.44 15.07 6.11 6.11 Total: -1.00 -32.39 405.44 -7.83 -40.22 By element: Atomic # 1 Polarization: 15.68 SS G_CDS: -9.29 Total: 6.39 kcal Atomic # 6 Polarization: 1.50 SS G_CDS: 0.30 Total: 1.80 kcal Atomic # 7 Polarization: -46.47 SS G_CDS: 0.12 Total: -46.35 kcal Atomic # 8 Polarization: -24.70 SS G_CDS: -0.48 Total: -25.18 kcal Atomic # 14 Polarization: 21.60 SS G_CDS: -4.59 Total: 17.01 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -32.39 -7.83 -40.22 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. ZINC000843779148.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 -91.549 kcal (2) G-P(sol) polarization free energy of solvation -32.391 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.940 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.828 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.218 kcal (6) G-S(sol) free energy of system = (1) + (5) -131.767 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.51 seconds