Wall clock time and date at job start Sat Apr 11 2020 06:11:16 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 1.52998 * 1 3 3 H 1.09000 * 109.45694 * 2 1 4 4 C 1.53038 * 109.46189 * 240.02653 * 2 1 3 5 5 C 1.53184 * 109.31551 * 178.61180 * 4 2 1 6 6 H 1.08997 * 109.70424 * 294.78043 * 5 4 2 7 7 C 1.52998 * 109.59041 * 174.42005 * 5 4 2 8 8 N 1.46925 * 108.77577 * 54.63556 * 5 4 2 9 9 C 1.34777 * 120.63315 * 126.36563 * 8 5 4 10 10 O 1.21682 * 120.00064 * 355.06990 * 9 8 5 11 11 C 1.46381 * 119.99837 * 175.06482 * 9 8 5 12 12 H 1.07998 * 120.00231 * 5.59404 * 11 9 8 13 13 C 1.40049 * 119.99441 * 185.59130 * 11 9 8 14 14 N 1.30670 * 120.00622 * 6.94662 * 13 11 9 15 15 Si 1.86803 * 119.99552 * 186.94341 * 13 11 9 16 16 H 1.48500 * 109.47176 * 84.99470 * 15 13 11 17 17 H 1.48503 * 109.47508 * 324.99669 * 15 13 11 18 18 H 1.48501 * 109.46979 * 204.99135 * 15 13 11 19 19 C 1.46928 * 118.73853 * 306.64603 * 8 5 4 20 20 C 1.52761 * 109.01014 * 53.30695 * 19 8 5 21 21 H 1.08998 * 109.35988 * 65.49985 * 20 19 8 22 22 C 1.52998 * 109.59295 * 185.54334 * 20 19 8 23 23 N 1.46507 * 109.46877 * 294.97665 * 22 20 19 24 24 C 1.34773 * 120.00407 * 180.02562 * 23 22 20 25 25 O 1.21512 * 119.99447 * 0.02562 * 24 23 22 26 26 O 1.34633 * 120.00122 * 180.02562 * 24 23 22 27 27 C 1.45203 * 116.99679 * 180.02562 * 26 24 23 28 28 C 1.52992 * 109.47616 * 59.99312 * 27 26 24 29 29 C 1.53002 * 109.46901 * 179.97438 * 27 26 24 30 30 C 1.52998 * 109.46803 * 299.99260 * 27 26 24 31 31 H 1.09000 * 109.47243 * 179.97438 * 1 2 3 32 32 H 1.09001 * 109.47091 * 299.97316 * 1 2 3 33 33 H 1.09003 * 109.47617 * 59.97113 * 1 2 3 34 34 H 1.09008 * 109.49609 * 58.65914 * 4 2 1 35 35 H 1.08999 * 109.49438 * 298.56787 * 4 2 1 36 36 H 1.08997 * 109.47512 * 297.16899 * 7 5 4 37 37 H 1.09006 * 109.46991 * 57.16521 * 7 5 4 38 38 H 1.08996 * 109.47355 * 177.16117 * 7 5 4 39 39 H 0.96989 * 120.00457 * 179.97438 * 14 13 11 40 40 H 1.08995 * 109.59121 * 173.14183 * 19 8 5 41 41 H 1.09006 * 109.58697 * 293.56606 * 19 8 5 42 42 H 1.08998 * 109.47404 * 54.97527 * 22 20 19 43 43 H 1.08999 * 109.47046 * 174.98443 * 22 20 19 44 44 H 0.97001 * 119.99457 * 0.02562 * 23 22 20 45 45 H 1.08999 * 109.47032 * 60.00022 * 28 27 26 46 46 H 1.09003 * 109.47622 * 180.02562 * 28 27 26 47 47 H 1.09004 * 109.47231 * 300.00171 * 28 27 26 48 48 H 1.09001 * 109.47047 * 59.99829 * 29 27 26 49 49 H 1.09004 * 109.47083 * 179.97438 * 29 27 26 50 50 H 1.08999 * 109.46990 * 299.99515 * 29 27 26 51 51 H 1.08995 * 109.47287 * 60.00419 * 30 27 26 52 52 H 1.09004 * 109.47343 * 180.02562 * 30 27 26 53 53 H 1.09001 * 109.47526 * 300.00405 * 30 27 26 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 1.8931 1.0278 0.0000 4 6 2.0399 -0.7209 -1.2500 5 6 3.5713 -0.6887 -1.2642 6 1 3.9163 0.3400 -1.3686 7 6 4.0912 -1.5253 -2.4349 8 7 4.0679 -1.2487 0.0001 9 6 4.9614 -2.2577 0.0003 10 8 5.2968 -2.7736 -1.0495 11 6 5.5285 -2.7329 1.2634 12 1 5.1653 -2.3383 2.2007 13 6 6.5420 -3.6994 1.2561 14 7 7.0760 -4.0779 0.1251 15 14 7.1305 -4.4476 2.8634 16 1 6.2469 -5.5822 3.2341 17 1 7.0893 -3.4183 3.9330 18 1 8.5230 -4.9373 2.7009 19 6 3.5671 -0.6921 1.2643 20 6 2.0398 -0.7206 1.2502 21 1 1.6978 -1.7554 1.2386 22 6 1.5021 -0.0189 2.4990 23 7 1.8910 -0.7771 3.6907 24 6 1.5249 -0.3449 4.9137 25 8 0.8717 0.6734 5.0277 26 8 1.8827 -1.0414 6.0089 27 6 1.4530 -0.5172 7.2929 28 6 -0.0749 -0.4486 7.3304 29 6 1.9494 -1.4362 8.4109 30 6 2.0315 0.8854 7.4906 31 1 -0.3634 -1.0277 -0.0005 32 1 -0.3633 0.5134 0.8902 33 1 -0.3634 0.5143 -0.8897 34 1 1.6571 -0.2210 -2.1398 35 1 1.6978 -1.7557 -1.2380 36 1 3.7940 -2.5651 -2.2987 37 1 3.6713 -1.1466 -3.3668 38 1 5.1785 -1.4602 -2.4735 39 1 7.7781 -4.7469 0.1202 40 1 3.9346 -1.2903 2.0980 41 1 3.9097 0.3372 1.3715 42 1 1.9166 0.9875 2.5573 43 1 0.4150 0.0385 2.4437 44 1 2.4121 -1.5901 3.5996 45 1 -0.4870 -1.4478 7.1896 46 1 -0.3975 -0.0546 8.2942 47 1 -0.4289 0.2060 6.5339 48 1 3.0380 -1.4854 8.3844 49 1 1.6272 -1.0425 9.3749 50 1 1.5370 -2.4353 8.2699 51 1 1.6775 1.5399 6.6941 52 1 1.7093 1.2788 8.4547 53 1 3.1201 0.8366 7.4639 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 ZINC000496046032.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 06:11:16 Heat of formation + Delta-G solvation = -120.482619 kcal Electronic energy + Delta-G solvation = -31838.969640 eV Core-core repulsion = 27710.782863 eV Total energy + Delta-G solvation = -4128.186777 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.67 seconds Orbital eigenvalues (eV) -40.75580 -39.47902 -37.56585 -36.51907 -34.77146 -34.02555 -33.05319 -32.54736 -31.78715 -28.70850 -27.54432 -27.50290 -26.74443 -26.09501 -24.81693 -22.77031 -21.75738 -21.28043 -20.36466 -19.57835 -18.82721 -18.06522 -16.67132 -16.58310 -16.13879 -15.54680 -15.36422 -15.07658 -14.60740 -14.48946 -14.44218 -14.18339 -13.94563 -13.61075 -13.34902 -13.04846 -12.92134 -12.62983 -12.60542 -12.37418 -12.16909 -12.01805 -12.00920 -11.84719 -11.68473 -11.52241 -11.40716 -11.35632 -11.22451 -11.16218 -10.98055 -10.84022 -10.63346 -10.47557 -10.42053 -10.33390 -10.24688 -10.05382 -9.98651 -9.73658 -9.07215 -8.86641 -7.19234 -7.14979 -6.19285 -4.67554 2.22241 2.90071 3.11187 3.18761 3.20211 4.04239 4.17353 4.41676 4.51197 4.58956 4.63468 4.77328 4.85925 4.93275 4.99248 5.21468 5.31576 5.38867 5.41962 5.49327 5.54269 5.59132 5.63490 5.68061 5.72183 5.73722 5.74948 5.83755 5.84149 5.86323 5.91509 6.02299 6.11355 6.15529 6.17949 6.23051 6.30478 6.36237 6.40126 6.43766 6.47813 6.54075 6.57836 6.69835 7.11711 7.39938 7.41832 7.50068 7.62967 8.11811 8.32740 8.44030 8.99015 9.41289 10.54212 10.73072 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008917 B = 0.003982 C = 0.002852 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3139.308199 B = 7029.192819 C = 9814.009616 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 -0.078 4.078 3 H 0.070 0.930 4 C -0.122 4.122 5 C 0.150 3.850 6 H 0.045 0.955 7 C -0.121 4.121 8 N -0.638 5.638 9 C 0.561 3.439 10 O -0.567 6.567 11 C -0.547 4.547 12 H 0.070 0.930 13 C 0.092 3.908 14 N -0.767 5.767 15 Si 0.901 3.099 16 H -0.271 1.271 17 H -0.265 1.265 18 H -0.280 1.280 19 C 0.128 3.872 20 C -0.113 4.113 21 H 0.082 0.918 22 C 0.144 3.856 23 N -0.707 5.707 24 C 0.650 3.350 25 O -0.575 6.575 26 O -0.364 6.364 27 C 0.136 3.864 28 C -0.183 4.183 29 C -0.142 4.142 30 C -0.184 4.184 31 H 0.054 0.946 32 H 0.056 0.944 33 H 0.053 0.947 34 H 0.062 0.938 35 H 0.064 0.936 36 H 0.070 0.930 37 H 0.013 0.987 38 H 0.074 0.926 39 H 0.269 0.731 40 H 0.091 0.909 41 H 0.044 0.956 42 H 0.070 0.930 43 H 0.073 0.927 44 H 0.411 0.589 45 H 0.059 0.941 46 H 0.068 0.932 47 H 0.088 0.912 48 H 0.068 0.932 49 H 0.078 0.922 50 H 0.066 0.934 51 H 0.088 0.912 52 H 0.067 0.933 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.494 7.553 10.757 18.135 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 -0.208 4.208 2 C -0.098 4.098 3 H 0.089 0.911 4 C -0.161 4.161 5 C 0.046 3.954 6 H 0.063 0.937 7 C -0.178 4.178 8 N -0.376 5.376 9 C 0.367 3.633 10 O -0.450 6.450 11 C -0.584 4.584 12 H 0.088 0.912 13 C -0.128 4.128 14 N -0.396 5.396 15 Si 0.726 3.274 16 H -0.196 1.196 17 H -0.189 1.189 18 H -0.205 1.205 19 C 0.003 3.997 20 C -0.133 4.133 21 H 0.100 0.900 22 C 0.021 3.979 23 N -0.366 5.366 24 C 0.403 3.597 25 O -0.466 6.466 26 O -0.278 6.278 27 C 0.099 3.901 28 C -0.240 4.240 29 C -0.199 4.199 30 C -0.241 4.241 31 H 0.073 0.927 32 H 0.075 0.925 33 H 0.072 0.928 34 H 0.081 0.919 35 H 0.083 0.917 36 H 0.088 0.912 37 H 0.032 0.968 38 H 0.092 0.908 39 H 0.080 0.920 40 H 0.110 0.890 41 H 0.062 0.938 42 H 0.088 0.912 43 H 0.091 0.909 44 H 0.247 0.753 45 H 0.078 0.922 46 H 0.087 0.913 47 H 0.106 0.894 48 H 0.087 0.913 49 H 0.097 0.903 50 H 0.085 0.915 51 H 0.107 0.893 52 H 0.086 0.914 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -12.462 7.641 10.193 17.821 hybrid contribution 0.437 -0.620 0.944 1.211 sum -12.025 7.021 11.137 17.831 Atomic orbital electron populations 1.21940 0.95522 1.01830 1.01470 1.21007 0.95016 0.99413 0.94320 0.91131 1.22067 0.96938 1.00695 0.96397 1.20889 0.91568 0.96337 0.86634 0.93738 1.22104 1.02475 1.00203 0.92980 1.48200 1.47301 1.39051 1.03005 1.18150 0.77128 0.77468 0.90585 1.90628 1.62899 1.58484 1.33004 1.20984 1.21149 1.24297 0.91966 0.91203 1.25664 0.95095 0.95306 0.96761 1.69967 1.19284 1.23957 1.26344 0.86491 0.78251 0.79912 0.82778 1.19603 1.18927 1.20540 1.21349 0.90428 0.98384 0.89498 1.21845 0.98090 1.00520 0.92875 0.89961 1.21499 1.00051 0.94934 0.81405 1.44870 1.58323 1.30394 1.03012 1.18079 0.78474 0.81608 0.81513 1.90869 1.43559 1.25880 1.86243 1.86336 1.73496 1.53318 1.14700 1.22023 0.94692 0.94228 0.79117 1.22513 0.94176 1.03253 1.04055 1.21865 1.02520 0.99603 0.95905 1.22517 1.01427 0.96333 1.03802 0.92693 0.92510 0.92775 0.91889 0.91740 0.91155 0.96809 0.90759 0.92047 0.89049 0.93819 0.91180 0.90856 0.75330 0.92231 0.91341 0.89357 0.91341 0.90309 0.91456 0.89324 0.91357 0.92070 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 -1.61 8.82 37.16 0.33 -1.28 16 2 C -0.08 -1.00 2.23 -90.58 -0.20 -1.21 16 3 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 4 C -0.12 -1.83 4.65 -26.62 -0.12 -1.95 16 5 C 0.15 2.81 3.49 -67.60 -0.24 2.58 16 6 H 0.04 0.80 8.14 -51.93 -0.42 0.38 16 7 C -0.12 -2.51 7.59 37.16 0.28 -2.23 16 8 N -0.64 -13.58 2.98 -167.13 -0.50 -14.08 16 9 C 0.56 14.96 7.52 -12.98 -0.10 14.86 16 10 O -0.57 -16.87 10.49 5.21 0.05 -16.81 16 11 C -0.55 -14.55 8.85 -35.63 -0.32 -14.87 16 12 H 0.07 1.69 5.69 -52.49 -0.30 1.39 16 13 C 0.09 2.45 5.49 -17.37 -0.10 2.36 16 14 N -0.77 -22.10 11.90 55.55 0.66 -21.44 16 15 Si 0.90 19.51 29.56 -169.99 -5.03 14.49 16 16 H -0.27 -5.77 7.11 56.52 0.40 -5.37 16 17 H -0.26 -5.56 7.11 56.52 0.40 -5.15 16 18 H -0.28 -5.99 7.11 56.52 0.40 -5.59 16 19 C 0.13 2.21 5.38 -3.93 -0.02 2.19 16 20 C -0.11 -1.56 1.90 -90.72 -0.17 -1.73 16 21 H 0.08 1.22 8.14 -51.93 -0.42 0.80 16 22 C 0.14 1.80 4.83 -4.04 -0.02 1.78 16 23 N -0.71 -9.37 5.34 -65.28 -0.35 -9.71 16 24 C 0.65 9.34 8.06 54.05 0.44 9.78 16 25 O -0.58 -9.01 11.88 -19.28 -0.23 -9.24 16 26 O -0.36 -4.95 9.94 -40.30 -0.40 -5.35 16 27 C 0.14 1.50 1.13 -90.62 -0.10 1.40 16 28 C -0.18 -1.88 8.37 37.15 0.31 -1.57 16 29 C -0.14 -1.22 8.85 37.16 0.33 -0.89 16 30 C -0.18 -1.96 8.37 37.16 0.31 -1.65 16 31 H 0.05 0.60 8.14 -51.93 -0.42 0.17 16 32 H 0.06 0.56 6.29 -51.93 -0.33 0.24 16 33 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 34 H 0.06 0.83 8.14 -51.92 -0.42 0.41 16 35 H 0.06 1.05 8.14 -51.93 -0.42 0.62 16 36 H 0.07 1.65 6.79 -51.93 -0.35 1.29 16 37 H 0.01 0.24 8.14 -51.93 -0.42 -0.19 16 38 H 0.07 1.78 6.70 -51.93 -0.35 1.44 16 39 H 0.27 7.09 8.29 -40.82 -0.34 6.76 16 40 H 0.09 1.66 4.56 -51.93 -0.24 1.43 16 41 H 0.04 0.72 8.14 -51.93 -0.42 0.30 16 42 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 43 H 0.07 0.88 6.14 -51.93 -0.32 0.56 16 44 H 0.41 5.35 7.80 -40.82 -0.32 5.03 16 45 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 46 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 47 H 0.09 1.10 5.88 -51.93 -0.31 0.79 16 48 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 49 H 0.08 0.51 8.14 -51.93 -0.42 0.09 16 50 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 51 H 0.09 1.14 5.88 -51.93 -0.31 0.83 16 52 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 53 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 LS Contribution 401.38 15.07 6.05 6.05 Total: -1.00 -32.00 401.38 -8.26 -40.26 By element: Atomic # 1 Polarization: 17.40 SS G_CDS: -9.13 Total: 8.26 kcal Atomic # 6 Polarization: 6.95 SS G_CDS: 0.61 Total: 7.56 kcal Atomic # 7 Polarization: -45.04 SS G_CDS: -0.19 Total: -45.23 kcal Atomic # 8 Polarization: -30.82 SS G_CDS: -0.57 Total: -31.40 kcal Atomic # 14 Polarization: 19.51 SS G_CDS: -5.03 Total: 14.49 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -32.00 -8.26 -40.26 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. ZINC000496046032.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 -80.222 kcal (2) G-P(sol) polarization free energy of solvation -32.002 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.224 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.259 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.261 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.483 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.67 seconds