Wall clock time and date at job start Sat Apr 11 2020 06:10:24 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 1.52991 * 1 3 3 H 1.09000 * 109.47203 * 2 1 4 4 C 1.50704 * 109.47281 * 239.99915 * 2 1 3 5 5 H 1.07992 * 120.00199 * 240.00291 * 4 2 1 6 6 C 1.37876 * 119.99815 * 59.99923 * 4 2 1 7 7 N 1.31523 * 120.00013 * 0.02562 * 6 4 2 8 8 Si 1.86796 * 120.00151 * 180.02562 * 6 4 2 9 9 H 1.48502 * 109.47228 * 89.99920 * 8 6 4 10 10 H 1.48498 * 109.47220 * 210.00000 * 8 6 4 11 11 H 1.48499 * 109.47060 * 329.99808 * 8 6 4 12 12 N 1.46497 * 109.47414 * 120.00097 * 2 1 3 13 13 C 1.34778 * 120.00164 * 275.00305 * 12 2 1 14 14 O 1.21282 * 119.99568 * 359.97438 * 13 12 2 15 15 C 1.50694 * 120.00338 * 179.97438 * 13 12 2 16 16 H 1.09007 * 112.85157 * 78.45606 * 15 13 12 17 17 C 1.53784 * 113.69194 * 307.18608 * 15 13 12 18 18 C 1.53781 * 87.08136 * 220.00665 * 17 15 13 19 19 H 1.08999 * 113.61451 * 139.98189 * 18 17 15 20 20 N 1.46502 * 113.69159 * 270.87156 * 18 17 15 21 21 C 1.34777 * 119.99978 * 252.53831 * 20 18 17 22 22 O 1.21504 * 119.99854 * 359.97438 * 21 20 18 23 23 O 1.34639 * 119.99813 * 179.97438 * 21 20 18 24 24 C 1.45195 * 116.99918 * 179.97438 * 23 21 20 25 25 C 1.53002 * 109.47019 * 60.00188 * 24 23 21 26 26 C 1.53002 * 109.47357 * 180.02562 * 24 23 21 27 27 C 1.53003 * 109.47313 * 300.00270 * 24 23 21 28 28 C 1.53778 * 87.08230 * 25.43182 * 18 17 15 29 29 C 1.52998 * 113.61718 * 220.01843 * 28 18 17 30 30 C 1.53002 * 113.61379 * 89.11436 * 28 18 17 31 31 H 1.09000 * 109.47203 * 179.97438 * 1 2 3 32 32 H 1.09004 * 109.47562 * 299.99752 * 1 2 3 33 33 H 1.09000 * 109.47498 * 60.00001 * 1 2 3 34 34 H 0.97001 * 120.00129 * 180.02562 * 7 6 4 35 35 H 0.97005 * 120.00159 * 94.99622 * 12 2 1 36 36 H 1.08994 * 113.61057 * 334.55944 * 17 15 13 37 37 H 1.09000 * 113.61130 * 105.45521 * 17 15 13 38 38 H 0.97006 * 119.99669 * 72.53823 * 20 18 17 39 39 H 1.09007 * 109.47213 * 59.99843 * 25 24 23 40 40 H 1.09002 * 109.47131 * 179.97438 * 25 24 23 41 41 H 1.09002 * 109.47011 * 300.00245 * 25 24 23 42 42 H 1.09006 * 109.46620 * 60.00229 * 26 24 23 43 43 H 1.09000 * 109.47176 * 179.97438 * 26 24 23 44 44 H 1.08996 * 109.47072 * 300.00659 * 26 24 23 45 45 H 1.09000 * 109.47267 * 60.00041 * 27 24 23 46 46 H 1.09002 * 109.46877 * 179.97438 * 27 24 23 47 47 H 1.08994 * 109.46947 * 300.00083 * 27 24 23 48 48 H 1.09005 * 109.47690 * 157.49646 * 29 28 18 49 49 H 1.08998 * 109.47422 * 277.50147 * 29 28 18 50 50 H 1.09005 * 109.46836 * 37.49421 * 29 28 18 51 51 H 1.08994 * 109.47459 * 308.89003 * 30 28 18 52 52 H 1.08998 * 109.47029 * 68.89516 * 30 28 18 53 53 H 1.09002 * 109.46813 * 188.88996 * 30 28 18 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 1.0277 0.0000 4 6 2.0323 -0.7104 -1.2305 5 1 2.6531 -1.5885 -1.1314 6 6 1.6992 -0.2394 -2.4827 7 7 0.9434 0.8302 -2.6034 8 14 2.3213 -1.1203 -4.0079 9 1 1.3427 -2.1617 -4.4119 10 1 2.4865 -0.1413 -5.1123 11 1 3.6292 -1.7582 -3.7122 12 7 2.0183 -0.6906 1.1961 13 6 2.1470 -0.0183 2.3571 14 8 1.8589 1.1585 2.4115 15 6 2.6488 -0.7288 3.5877 16 1 3.7308 -0.8615 3.5882 17 6 1.8706 -2.0127 3.9205 18 6 1.9742 -1.5988 5.3979 19 1 1.0654 -1.7882 5.9692 20 7 3.1797 -2.0962 6.0655 21 6 3.0878 -3.0937 6.9671 22 8 2.0050 -3.5802 7.2266 23 8 4.1958 -3.5512 7.5802 24 6 4.0217 -4.6267 8.5400 25 6 3.4083 -5.8409 7.8396 26 6 5.3808 -5.0097 9.1290 27 6 3.0922 -4.1624 9.6631 28 6 2.0988 -0.1487 4.9014 29 6 3.1215 0.6803 5.6810 30 6 0.7534 0.5621 4.7416 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5138 0.8900 33 1 -0.3634 0.5138 -0.8900 34 1 0.7088 1.1614 -3.4844 35 1 2.2490 -1.6318 1.1526 36 1 0.8498 -2.0159 3.5384 37 1 2.4150 -2.9270 3.6839 38 1 4.0440 -1.7075 5.8585 39 1 4.0705 -6.1717 7.0394 40 1 3.2780 -6.6484 8.5600 41 1 2.4400 -5.5677 7.4203 42 1 5.8173 -4.1444 9.6280 43 1 5.2500 -5.8167 9.8498 44 1 6.0433 -5.3402 8.3290 45 1 2.1238 -3.8893 9.2439 46 1 2.9612 -4.9700 10.3834 47 1 3.5291 -3.2974 10.1620 48 1 3.4522 1.5191 5.0683 49 1 2.6629 1.0568 6.5953 50 1 3.9780 0.0556 5.9347 51 1 0.0838 -0.0572 4.1448 52 1 0.3128 0.7312 5.7241 53 1 0.9051 1.5189 4.2420 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 ZINC000874251394.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 06:10:24 Heat of formation + Delta-G solvation = -108.691125 kcal Electronic energy + Delta-G solvation = -31166.557030 eV Core-core repulsion = 27038.881571 eV Total energy + Delta-G solvation = -4127.675460 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -41.33017 -40.41498 -38.10247 -36.93558 -34.77978 -34.50269 -33.24666 -32.42253 -30.72910 -28.90582 -27.71766 -27.65574 -27.32049 -26.07277 -25.23540 -23.27637 -22.13642 -21.31047 -20.33595 -19.53821 -18.72624 -18.15557 -17.11112 -16.58845 -16.33332 -15.78696 -15.51332 -15.30643 -14.97579 -14.76438 -14.64080 -14.34177 -13.86782 -13.73738 -13.46606 -13.29091 -12.95216 -12.80810 -12.55090 -12.41790 -12.26309 -12.19276 -12.17668 -12.07332 -11.95411 -11.80963 -11.63214 -11.56029 -11.31077 -11.13574 -11.04120 -10.92908 -10.69146 -10.61909 -10.40975 -10.33501 -10.25143 -10.20967 -10.20081 -9.23461 -9.03959 -8.78691 -8.52672 -7.86717 -6.12302 -4.21400 1.94214 2.66063 3.23850 3.30815 3.32798 3.42445 3.88639 4.08677 4.28948 4.35640 4.41497 4.44924 4.47998 4.60235 4.72177 4.88733 5.15634 5.17402 5.19994 5.23422 5.24603 5.38212 5.41624 5.44519 5.49727 5.56536 5.63713 5.67414 5.70132 5.76193 5.84186 5.86981 5.96883 6.00775 6.04204 6.08526 6.15120 6.26629 6.32144 6.45424 6.64494 6.83525 6.97834 7.16298 7.25416 7.49138 7.58134 7.70632 7.92796 8.16121 8.21798 8.70524 8.79582 9.17341 9.46595 10.93530 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017219 B = 0.002352 C = 0.002179 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1625.749636 B =11899.564784 C =12848.758785 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C 0.264 3.736 3 H 0.047 0.953 4 C -0.533 4.533 5 H 0.060 0.940 6 C 0.066 3.934 7 N -0.883 5.883 8 Si 0.901 3.099 9 H -0.280 1.280 10 H -0.285 1.285 11 H -0.274 1.274 12 N -0.708 5.708 13 C 0.513 3.487 14 O -0.550 6.550 15 C -0.131 4.131 16 H 0.110 0.890 17 C -0.141 4.141 18 C 0.142 3.858 19 H 0.109 0.891 20 N -0.689 5.689 21 C 0.652 3.348 22 O -0.567 6.567 23 O -0.366 6.366 24 C 0.137 3.863 25 C -0.184 4.184 26 C -0.141 4.141 27 C -0.184 4.184 28 C -0.059 4.059 29 C -0.136 4.136 30 C -0.128 4.128 31 H 0.025 0.975 32 H 0.014 0.986 33 H 0.089 0.911 34 H 0.264 0.736 35 H 0.387 0.613 36 H 0.100 0.900 37 H 0.078 0.922 38 H 0.406 0.594 39 H 0.060 0.940 40 H 0.069 0.931 41 H 0.089 0.911 42 H 0.066 0.934 43 H 0.080 0.920 44 H 0.067 0.933 45 H 0.088 0.912 46 H 0.069 0.931 47 H 0.059 0.941 48 H 0.068 0.932 49 H 0.058 0.942 50 H 0.051 0.949 51 H 0.056 0.944 52 H 0.051 0.949 53 H 0.091 0.909 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.374 -9.742 22.971 25.752 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 -0.205 4.205 2 C 0.163 3.837 3 H 0.065 0.935 4 C -0.571 4.571 5 H 0.078 0.922 6 C -0.138 4.138 7 N -0.521 5.521 8 Si 0.728 3.272 9 H -0.206 1.206 10 H -0.211 1.211 11 H -0.199 1.199 12 N -0.355 5.355 13 C 0.298 3.702 14 O -0.429 6.429 15 C -0.153 4.153 16 H 0.128 0.872 17 C -0.180 4.180 18 C 0.037 3.963 19 H 0.127 0.873 20 N -0.348 5.348 21 C 0.406 3.594 22 O -0.456 6.456 23 O -0.281 6.281 24 C 0.100 3.900 25 C -0.241 4.241 26 C -0.198 4.198 27 C -0.241 4.241 28 C -0.060 4.060 29 C -0.193 4.193 30 C -0.186 4.186 31 H 0.044 0.956 32 H 0.033 0.967 33 H 0.107 0.893 34 H 0.074 0.926 35 H 0.220 0.780 36 H 0.119 0.881 37 H 0.097 0.903 38 H 0.243 0.757 39 H 0.079 0.921 40 H 0.088 0.912 41 H 0.107 0.893 42 H 0.085 0.915 43 H 0.098 0.902 44 H 0.086 0.914 45 H 0.107 0.893 46 H 0.088 0.912 47 H 0.078 0.922 48 H 0.087 0.913 49 H 0.077 0.923 50 H 0.070 0.930 51 H 0.075 0.925 52 H 0.070 0.930 53 H 0.109 0.891 Dipole moment (debyes) X Y Z Total from point charges 5.576 -9.074 23.022 25.366 hybrid contribution 0.888 -0.905 -1.086 1.670 sum 6.464 -9.979 21.936 24.951 Atomic orbital electron populations 1.22066 0.98530 0.99021 1.00841 1.18711 0.90961 0.93927 0.80131 0.93468 1.21225 1.32365 1.13141 0.90402 0.92178 1.24890 0.94862 0.94949 0.99049 1.69906 1.35941 1.22410 1.23832 0.86461 0.79157 0.79283 0.82270 1.20561 1.21084 1.19899 1.46545 1.64921 1.13532 1.10495 1.20088 0.78645 0.87276 0.84231 1.90608 1.51473 1.16013 1.84855 1.22976 1.01071 0.96910 0.94315 0.87245 1.23408 1.01951 0.97133 0.95466 1.22016 0.87173 0.94284 0.92820 0.87262 1.44486 1.11615 1.36495 1.42219 1.18053 0.82589 0.79968 0.78831 1.90897 1.27801 1.60160 1.66717 1.86299 1.35093 1.52178 1.54538 1.22060 0.96792 0.84418 0.86736 1.22523 1.03552 0.96785 1.01266 1.21865 0.94655 1.02145 1.01147 1.22519 1.01798 1.01919 0.97836 1.21997 0.97735 0.92921 0.93360 1.21686 0.97678 0.99980 0.99959 1.21693 0.93215 1.02556 1.01109 0.95573 0.96653 0.89261 0.92610 0.78046 0.88149 0.90303 0.75707 0.92130 0.91196 0.89251 0.91491 0.90163 0.91433 0.89299 0.91192 0.92206 0.91324 0.92290 0.93040 0.92534 0.92986 0.89079 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 -3.58 9.26 37.15 0.34 -3.24 16 2 C 0.26 6.62 2.56 -69.09 -0.18 6.44 16 3 H 0.05 1.37 7.58 -51.93 -0.39 0.98 16 4 C -0.53 -14.02 8.73 -34.44 -0.30 -14.32 16 5 H 0.06 1.52 7.74 -52.49 -0.41 1.11 16 6 C 0.07 1.76 5.30 -17.82 -0.09 1.67 16 7 N -0.88 -24.79 11.32 55.43 0.63 -24.16 16 8 Si 0.90 20.61 29.54 -169.99 -5.02 15.59 16 9 H -0.28 -6.33 7.11 56.52 0.40 -5.92 16 10 H -0.29 -6.53 7.11 56.52 0.40 -6.13 16 11 H -0.27 -6.18 7.11 56.52 0.40 -5.77 16 12 N -0.71 -14.25 5.00 -54.94 -0.27 -14.53 16 13 C 0.51 9.56 6.58 -10.99 -0.07 9.48 16 14 O -0.55 -12.19 13.85 5.56 0.08 -12.11 16 15 C -0.13 -1.75 3.55 -90.96 -0.32 -2.07 16 16 H 0.11 1.29 8.10 -51.93 -0.42 0.87 16 17 C -0.14 -1.67 6.84 -25.92 -0.18 -1.85 16 18 C 0.14 1.59 3.77 -67.12 -0.25 1.33 16 19 H 0.11 1.33 7.42 -51.93 -0.39 0.94 16 20 N -0.69 -7.09 4.70 -57.93 -0.27 -7.36 16 21 C 0.65 7.71 8.06 54.06 0.44 8.15 16 22 O -0.57 -7.87 11.48 -19.27 -0.22 -8.09 16 23 O -0.37 -3.90 9.94 -40.32 -0.40 -4.30 16 24 C 0.14 1.20 1.13 -90.62 -0.10 1.10 16 25 C -0.18 -1.62 8.37 37.16 0.31 -1.31 16 26 C -0.14 -0.88 8.85 37.16 0.33 -0.55 16 27 C -0.18 -1.56 8.37 37.16 0.31 -1.25 16 28 C -0.06 -0.71 1.15 -153.70 -0.18 -0.88 16 29 C -0.14 -1.44 9.01 37.16 0.33 -1.10 16 30 C -0.13 -1.74 7.76 37.16 0.29 -1.45 16 31 H 0.03 0.60 8.14 -51.93 -0.42 0.17 16 32 H 0.01 0.35 8.14 -51.93 -0.42 -0.08 16 33 H 0.09 2.40 6.07 -51.93 -0.32 2.08 16 34 H 0.26 7.04 8.31 -40.82 -0.34 6.70 16 35 H 0.39 6.90 8.36 -40.82 -0.34 6.55 16 36 H 0.10 1.27 7.55 -51.93 -0.39 0.88 16 37 H 0.08 0.88 8.14 -51.93 -0.42 0.46 16 38 H 0.41 3.53 7.00 -40.82 -0.29 3.25 16 39 H 0.06 0.52 8.14 -51.93 -0.42 0.09 16 40 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 41 H 0.09 1.00 5.88 -51.93 -0.31 0.70 16 42 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 43 H 0.08 0.36 8.14 -51.93 -0.42 -0.06 16 44 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 45 H 0.09 0.97 5.88 -51.93 -0.31 0.66 16 46 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 47 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 48 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 49 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 50 H 0.05 0.45 5.89 -51.93 -0.31 0.15 16 51 H 0.06 0.81 7.16 -51.93 -0.37 0.43 16 52 H 0.05 0.60 8.14 -51.93 -0.42 0.17 16 53 H 0.09 1.47 6.36 -51.93 -0.33 1.14 16 LS Contribution 411.58 15.07 6.20 6.20 Total: -1.00 -30.78 411.58 -7.80 -38.57 By element: Atomic # 1 Polarization: 19.24 SS G_CDS: -9.19 Total: 10.05 kcal Atomic # 6 Polarization: -0.54 SS G_CDS: 0.68 Total: 0.14 kcal Atomic # 7 Polarization: -46.13 SS G_CDS: 0.08 Total: -46.05 kcal Atomic # 8 Polarization: -23.96 SS G_CDS: -0.54 Total: -24.50 kcal Atomic # 14 Polarization: 20.61 SS G_CDS: -5.02 Total: 15.59 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -30.78 -7.80 -38.57 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. ZINC000874251394.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 -70.118 kcal (2) G-P(sol) polarization free energy of solvation -30.778 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.896 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.795 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.573 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.691 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds