Wall clock time and date at job start Tue Mar 31 2020 21:17:42 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 1.52997 * 1 3 3 H 1.09002 * 109.70549 * 2 1 4 4 C 1.53197 * 109.58853 * 120.35844 * 2 1 3 5 5 H 1.08996 * 109.49569 * 54.47174 * 4 2 1 6 6 N 1.46497 * 109.52089 * 294.38928 * 4 2 1 7 7 C 1.34783 * 119.99633 * 155.14423 * 6 4 2 8 8 O 1.21280 * 119.99961 * 0.02562 * 7 6 4 9 9 C 1.50702 * 119.99743 * 179.97438 * 7 6 4 10 10 C 1.53872 * 113.60429 * 277.58396 * 9 7 6 11 11 C 1.53308 * 86.94439 * 220.33888 * 10 9 7 12 12 C 1.53327 * 87.55085 * 25.17735 * 11 10 9 13 13 C 1.52825 * 113.64484 * 139.94584 * 11 10 9 14 14 C 1.53270 * 108.88064 * 184.13530 * 13 11 10 15 15 O 1.42887 * 109.32868 * 304.69387 * 14 13 11 16 16 C 1.42905 * 114.36243 * 62.99332 * 15 14 13 17 17 C 1.52828 * 113.63863 * 270.40985 * 11 10 9 18 18 C 1.53039 * 109.31185 * 174.42224 * 4 2 1 19 19 C 1.53043 * 109.53866 * 298.63498 * 18 4 2 20 20 C 1.53185 * 109.31283 * 61.36496 * 19 18 4 21 21 N 1.46923 * 108.77717 * 305.36610 * 20 19 18 22 22 C 1.36940 * 120.62985 * 233.32902 * 21 20 19 23 23 H 1.08010 * 119.99517 * 150.19831 * 22 21 20 24 24 C 1.38805 * 120.00425 * 330.20686 * 22 21 20 25 25 N 1.31622 * 119.99962 * 344.54491 * 24 22 21 26 26 Si 1.86795 * 120.00332 * 164.54948 * 24 22 21 27 27 H 1.48496 * 109.47227 * 59.99553 * 26 24 22 28 28 H 1.48505 * 109.47370 * 179.97438 * 26 24 22 29 29 H 1.48503 * 109.47123 * 299.99866 * 26 24 22 30 30 H 1.09002 * 109.47249 * 180.35336 * 1 2 3 31 31 H 1.09003 * 109.46722 * 300.35333 * 1 2 3 32 32 H 1.09000 * 109.46978 * 60.35318 * 1 2 3 33 33 H 0.96998 * 120.00389 * 335.14349 * 6 4 2 34 34 H 1.09004 * 112.83444 * 48.84696 * 9 7 6 35 35 H 1.09000 * 113.63510 * 334.85339 * 10 9 7 36 36 H 1.08994 * 113.63752 * 105.82141 * 10 9 7 37 37 H 1.09008 * 113.63227 * 220.30189 * 12 11 10 38 38 H 1.08995 * 113.71859 * 89.35150 * 12 11 10 39 39 H 1.08995 * 109.56888 * 303.95563 * 13 11 10 40 40 H 1.08999 * 109.56761 * 64.31751 * 13 11 10 41 41 H 1.08998 * 109.49187 * 184.73791 * 14 13 11 42 42 H 1.08997 * 109.51486 * 64.66342 * 14 13 11 43 43 H 1.08996 * 109.49501 * 177.05251 * 16 15 14 44 44 H 1.09000 * 109.51812 * 56.97831 * 16 15 14 45 45 H 1.08998 * 109.56769 * 295.67989 * 17 11 10 46 46 H 1.08996 * 109.57484 * 55.92222 * 17 11 10 47 47 H 1.09001 * 109.45974 * 178.61841 * 18 4 2 48 48 H 1.08994 * 109.44942 * 58.64643 * 18 4 2 49 49 H 1.09004 * 109.49462 * 301.41607 * 19 18 4 50 50 H 1.08999 * 109.52486 * 181.34099 * 19 18 4 51 51 H 1.09007 * 109.58846 * 185.57588 * 20 19 18 52 52 H 1.08999 * 109.58483 * 65.15834 * 20 19 18 53 53 H 0.96995 * 120.00418 * 180.02562 * 25 24 22 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 1 1.8975 1.0262 0.0000 4 6 2.0436 -0.7295 1.2454 5 1 1.6030 -1.7254 1.2912 6 7 1.6705 0.0260 2.4439 7 6 1.5503 -0.6058 3.6284 8 8 1.7514 -1.7996 3.7021 9 6 1.1671 0.1713 4.8614 10 6 2.3526 0.8880 5.5311 11 6 1.7424 0.4678 6.8732 12 6 1.0723 -0.6939 6.1300 13 6 2.7779 0.0191 7.9037 14 6 2.0481 -0.4718 9.1589 15 8 1.1770 0.5572 9.6324 16 6 0.1342 0.9119 8.7219 17 6 0.7520 1.4838 7.4410 18 6 3.5675 -0.8480 1.1701 19 6 3.9569 -1.6657 -0.0636 20 6 3.4650 -0.9469 -1.3238 21 7 2.0225 -0.6995 -1.1945 22 6 1.1543 -1.1080 -2.1715 23 1 0.1398 -1.3755 -1.9149 24 6 1.5780 -1.1785 -3.4914 25 7 2.6901 -0.5778 -3.8586 26 14 0.5698 -2.1257 -4.7467 27 1 -0.7896 -1.5349 -4.8373 28 1 1.2321 -2.0484 -6.0737 29 1 0.4651 -3.5464 -4.3272 30 1 -0.3634 -1.0277 0.0063 31 1 -0.3633 0.5193 0.8868 32 1 -0.3633 0.5083 -0.8931 33 1 1.5101 0.9808 2.3850 34 1 0.2998 0.8127 4.7046 35 1 3.3170 0.4237 5.3250 36 1 2.3579 1.9663 5.3719 37 1 0.0489 -0.8865 6.4522 38 1 1.6805 -1.5974 6.0893 39 1 3.3776 -0.7914 7.4896 40 1 3.4237 0.8585 8.1617 41 1 2.7772 -0.7152 9.9317 42 1 1.4643 -1.3598 8.9168 43 1 -0.5102 1.6614 9.1811 44 1 -0.4534 0.0267 8.4785 45 1 1.2735 2.4130 7.6706 46 1 -0.0328 1.6768 6.7097 47 1 3.9379 -1.3450 2.0667 48 1 4.0059 0.1474 1.0991 49 1 3.4983 -2.6528 -0.0054 50 1 5.0411 -1.7702 -0.1041 51 1 3.6518 -1.5716 -2.1973 52 1 3.9903 0.0020 -1.4317 53 1 2.9860 -0.6267 -4.7810 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 ZINC000994206226.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 21:17:42 Heat of formation + Delta-G solvation = -57.131343 kcal Electronic energy + Delta-G solvation = -30535.616414 eV Core-core repulsion = 26600.632806 eV Total energy + Delta-G solvation = -3934.983608 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.18 seconds Orbital eigenvalues (eV) -41.19950 -39.42432 -37.93520 -36.93921 -34.26714 -32.59135 -31.79079 -31.57225 -31.26452 -29.22914 -26.48977 -26.21147 -25.28112 -24.82277 -24.06233 -22.70866 -21.57069 -20.69399 -19.95529 -19.25236 -18.50801 -17.21487 -16.46995 -16.33967 -16.24892 -15.72883 -15.56162 -15.04876 -14.92452 -14.58570 -14.24632 -14.04083 -13.80870 -13.75092 -13.37242 -13.34945 -12.86204 -12.77525 -12.55352 -12.49793 -11.97731 -11.82622 -11.72058 -11.62807 -11.55424 -11.37501 -11.11037 -10.92413 -10.80126 -10.75799 -10.67388 -10.57786 -10.32723 -10.26642 -10.12936 -10.05797 -9.86423 -9.71795 -9.50398 -9.27521 -8.64830 -8.45738 -6.67731 -5.80891 -3.25781 2.81303 3.36754 3.40568 3.43003 3.46631 3.56257 4.08714 4.22938 4.28307 4.46726 4.48635 4.66297 4.69640 4.82585 5.02085 5.07038 5.13300 5.17110 5.28664 5.29388 5.35466 5.38972 5.45991 5.52138 5.52361 5.57869 5.61500 5.61719 5.71796 5.72630 5.79024 5.85869 5.96018 6.04377 6.08743 6.19767 6.20816 6.32984 6.39694 6.52377 6.63532 6.72956 6.74824 6.85389 6.88713 6.98357 7.07094 7.38477 7.64758 7.79375 7.80949 8.42236 8.49814 9.18815 9.81415 10.38307 11.27762 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.029494 B = 0.002277 C = 0.002210 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 949.122364 B =12293.762356 C =12664.966562 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.136 4.136 2 C 0.168 3.832 3 H 0.027 0.973 4 C 0.130 3.870 5 H 0.084 0.916 6 N -0.717 5.717 7 C 0.520 3.480 8 O -0.544 6.544 9 C -0.137 4.137 10 C -0.110 4.110 11 C -0.085 4.085 12 C -0.107 4.107 13 C -0.138 4.138 14 C 0.062 3.938 15 O -0.385 6.385 16 C 0.062 3.938 17 C -0.131 4.131 18 C -0.115 4.115 19 C -0.140 4.140 20 C 0.171 3.829 21 N -0.582 5.582 22 C -0.253 4.253 23 H 0.069 0.931 24 C 0.005 3.995 25 N -0.902 5.902 26 Si 0.902 3.098 27 H -0.283 1.283 28 H -0.291 1.291 29 H -0.283 1.283 30 H 0.053 0.947 31 H 0.037 0.963 32 H 0.063 0.937 33 H 0.395 0.605 34 H 0.110 0.890 35 H 0.087 0.913 36 H 0.076 0.924 37 H 0.069 0.931 38 H 0.097 0.903 39 H 0.076 0.924 40 H 0.072 0.928 41 H 0.092 0.908 42 H 0.052 0.948 43 H 0.093 0.907 44 H 0.051 0.949 45 H 0.075 0.925 46 H 0.076 0.924 47 H 0.048 0.952 48 H 0.053 0.947 49 H 0.056 0.944 50 H 0.051 0.949 51 H 0.086 0.914 52 H 0.019 0.981 53 H 0.254 0.746 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.706 5.101 23.086 23.704 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 -0.193 4.193 2 C 0.060 3.940 3 H 0.044 0.956 4 C 0.024 3.976 5 H 0.102 0.898 6 N -0.367 5.367 7 C 0.305 3.695 8 O -0.421 6.421 9 C -0.158 4.158 10 C -0.148 4.148 11 C -0.085 4.085 12 C -0.144 4.144 13 C -0.176 4.176 14 C -0.015 4.015 15 O -0.304 6.304 16 C -0.015 4.015 17 C -0.169 4.169 18 C -0.154 4.154 19 C -0.180 4.180 20 C 0.045 3.955 21 N -0.305 5.305 22 C -0.383 4.383 23 H 0.087 0.913 24 C -0.194 4.194 25 N -0.546 5.546 26 Si 0.732 3.268 27 H -0.209 1.209 28 H -0.216 1.216 29 H -0.210 1.210 30 H 0.072 0.928 31 H 0.056 0.944 32 H 0.082 0.918 33 H 0.229 0.771 34 H 0.128 0.872 35 H 0.106 0.894 36 H 0.094 0.906 37 H 0.088 0.912 38 H 0.115 0.885 39 H 0.095 0.905 40 H 0.091 0.909 41 H 0.110 0.890 42 H 0.070 0.930 43 H 0.111 0.889 44 H 0.070 0.930 45 H 0.093 0.907 46 H 0.095 0.905 47 H 0.067 0.933 48 H 0.071 0.929 49 H 0.074 0.926 50 H 0.069 0.931 51 H 0.105 0.895 52 H 0.037 0.963 53 H 0.064 0.936 Dipole moment (debyes) X Y Z Total from point charges -1.477 4.329 23.095 23.543 hybrid contribution -0.493 -0.059 -1.190 1.289 sum -1.971 4.270 21.905 22.404 Atomic orbital electron populations 1.21810 0.95715 1.01595 1.00213 1.20558 0.93196 0.93506 0.86729 0.95600 1.21766 0.94992 0.96840 0.83964 0.89767 1.46166 1.69952 1.12122 1.08417 1.20370 0.76930 0.87871 0.84300 1.90678 1.50634 1.15192 1.85644 1.22756 1.00581 0.99405 0.93045 1.22866 0.97255 1.00478 0.94189 1.21525 0.96304 0.96668 0.93986 1.22890 1.01497 0.97225 0.92833 1.22110 0.97830 1.01928 0.95720 1.22594 0.92834 0.89921 0.96164 1.87886 1.42753 1.56941 1.42814 1.22589 0.89456 0.99532 0.89932 1.21977 0.98743 0.98392 0.97764 1.21744 0.95516 0.99929 0.98219 1.22182 0.99178 0.99718 0.96939 1.20814 0.83142 0.97133 0.94394 1.44030 1.03155 1.65177 1.18167 1.19107 0.95168 1.38046 0.85934 0.91320 1.25092 0.97892 0.99418 0.96999 1.70014 1.23998 1.43687 1.16919 0.86380 0.79573 0.80249 0.80610 1.20877 1.21646 1.20969 0.92752 0.94364 0.91751 0.77140 0.87245 0.89438 0.90568 0.91227 0.88466 0.90499 0.90940 0.89003 0.93016 0.88906 0.93041 0.90670 0.90496 0.93339 0.92857 0.92563 0.93057 0.89532 0.96305 0.93580 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.14 -2.50 7.83 37.16 0.29 -2.21 16 2 C 0.17 3.35 3.03 -67.60 -0.21 3.14 16 3 H 0.03 0.53 8.14 -51.93 -0.42 0.11 16 4 C 0.13 2.34 1.99 -67.81 -0.14 2.20 16 5 H 0.08 1.77 7.58 -51.93 -0.39 1.37 16 6 N -0.72 -10.13 4.59 -53.69 -0.25 -10.37 16 7 C 0.52 7.40 7.32 -10.98 -0.08 7.32 16 8 O -0.54 -10.02 15.56 5.56 0.09 -9.94 16 9 C -0.14 -1.35 3.80 -90.88 -0.35 -1.70 16 10 C -0.11 -0.94 6.78 -26.12 -0.18 -1.12 16 11 C -0.08 -0.67 0.77 -154.36 -0.12 -0.79 16 12 C -0.11 -1.02 6.36 -26.12 -0.17 -1.19 16 13 C -0.14 -1.07 5.33 -26.68 -0.14 -1.21 16 14 C 0.06 0.48 6.78 37.30 0.25 0.73 16 15 O -0.39 -3.56 10.72 -35.23 -0.38 -3.94 16 16 C 0.06 0.44 6.78 37.30 0.25 0.70 16 17 C -0.13 -0.90 5.23 -26.68 -0.14 -1.04 16 18 C -0.12 -2.07 5.46 -26.69 -0.15 -2.22 16 19 C -0.14 -2.78 6.08 -26.61 -0.16 -2.94 16 20 C 0.17 4.03 5.27 -3.72 -0.02 4.01 16 21 N -0.58 -14.12 2.99 -164.77 -0.49 -14.61 16 22 C -0.25 -6.71 8.56 -15.06 -0.13 -6.84 16 23 H 0.07 1.79 6.25 -52.48 -0.33 1.46 16 24 C 0.00 0.13 4.94 -17.43 -0.09 0.05 16 25 N -0.90 -25.70 11.23 55.49 0.62 -25.07 16 26 Si 0.90 21.48 29.58 -169.99 -5.03 16.45 16 27 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 28 H -0.29 -6.98 7.11 56.52 0.40 -6.58 16 29 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 30 H 0.05 1.06 7.45 -51.93 -0.39 0.67 16 31 H 0.04 0.57 7.80 -51.93 -0.41 0.17 16 32 H 0.06 1.27 7.62 -51.93 -0.40 0.87 16 33 H 0.40 4.57 8.60 -40.82 -0.35 4.21 16 34 H 0.11 0.89 7.65 -51.93 -0.40 0.49 16 35 H 0.09 0.85 8.05 -51.93 -0.42 0.43 16 36 H 0.08 0.55 8.09 -51.93 -0.42 0.13 16 37 H 0.07 0.62 7.63 -51.92 -0.40 0.22 16 38 H 0.10 1.12 7.31 -51.93 -0.38 0.74 16 39 H 0.08 0.60 8.04 -51.93 -0.42 0.18 16 40 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 41 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 42 H 0.05 0.39 8.12 -51.93 -0.42 -0.03 16 43 H 0.09 0.54 8.14 -51.93 -0.42 0.12 16 44 H 0.05 0.36 7.68 -51.93 -0.40 -0.04 16 45 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 46 H 0.08 0.46 7.35 -51.93 -0.38 0.08 16 47 H 0.05 0.87 8.14 -51.93 -0.42 0.44 16 48 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 49 H 0.06 1.16 8.14 -51.93 -0.42 0.74 16 50 H 0.05 0.91 8.14 -51.93 -0.42 0.49 16 51 H 0.09 2.29 6.16 -51.93 -0.32 1.97 16 52 H 0.02 0.46 8.14 -51.93 -0.42 0.04 16 53 H 0.25 7.05 8.31 -40.82 -0.34 6.71 16 LS Contribution 399.43 15.07 6.02 6.02 Total: -1.00 -30.99 399.43 -10.24 -41.23 By element: Atomic # 1 Polarization: 12.91 SS G_CDS: -9.57 Total: 3.34 kcal Atomic # 6 Polarization: -1.84 SS G_CDS: -1.26 Total: -3.10 kcal Atomic # 7 Polarization: -49.95 SS G_CDS: -0.12 Total: -50.06 kcal Atomic # 8 Polarization: -13.59 SS G_CDS: -0.29 Total: -13.88 kcal Atomic # 14 Polarization: 21.48 SS G_CDS: -5.03 Total: 16.45 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -30.99 -10.24 -41.23 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. ZINC000994206226.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 -15.899 kcal (2) G-P(sol) polarization free energy of solvation -30.988 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -46.887 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.245 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.233 kcal (6) G-S(sol) free energy of system = (1) + (5) -57.131 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.18 seconds