Wall clock time and date at job start Sat Apr 11 2020 06:14:28 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 1.52999 * 1 3 3 H 1.08998 * 109.46850 * 2 1 4 4 C 1.52995 * 109.47157 * 240.00188 * 2 1 3 5 5 N 1.46908 * 109.46985 * 184.16379 * 4 2 1 6 6 C 1.46899 * 110.99746 * 159.84968 * 5 4 2 7 7 C 1.46895 * 110.99950 * 283.80097 * 5 4 2 8 8 C 1.50698 * 109.47025 * 169.99976 * 7 5 4 9 9 O 1.21290 * 120.00181 * 359.97438 * 8 7 5 10 10 N 1.34775 * 119.99953 * 180.02562 * 8 7 5 11 11 C 1.37100 * 120.00111 * 180.02562 * 10 8 7 12 12 H 1.07998 * 120.00083 * 359.97438 * 11 10 8 13 13 C 1.38954 * 120.00010 * 180.02562 * 11 10 8 14 14 N 1.31412 * 119.99717 * 179.97438 * 13 11 10 15 15 Si 1.86798 * 119.99883 * 359.97438 * 13 11 10 16 16 H 1.48495 * 109.47226 * 90.00434 * 15 13 11 17 17 H 1.48500 * 109.46911 * 210.00381 * 15 13 11 18 18 H 1.48499 * 109.47438 * 330.00145 * 15 13 11 19 19 N 1.46496 * 109.46896 * 119.99909 * 2 1 3 20 20 C 1.34783 * 120.00220 * 271.64522 * 19 2 1 21 21 O 1.21281 * 119.99650 * 0.02562 * 20 19 2 22 22 C 1.50699 * 120.00079 * 180.02562 * 20 19 2 23 23 H 1.09002 * 109.45909 * 320.01995 * 22 20 19 24 24 C 1.53039 * 109.46171 * 79.99892 * 22 20 19 25 25 C 1.53123 * 109.27600 * 179.19468 * 24 22 20 26 26 C 1.53123 * 109.15893 * 302.34703 * 25 24 22 27 27 C 1.53033 * 109.27902 * 57.65882 * 26 25 24 28 28 N 1.46843 * 109.46106 * 200.05498 * 22 20 19 29 29 C 1.46900 * 111.00062 * 54.14433 * 28 22 20 30 30 H 1.08998 * 109.47365 * 299.99964 * 1 2 3 31 31 H 1.09004 * 109.47184 * 59.99874 * 1 2 3 32 32 H 1.09004 * 109.47626 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.47481 * 64.16527 * 4 2 1 34 34 H 1.09005 * 109.47047 * 304.16059 * 4 2 1 35 35 H 1.09005 * 109.46760 * 189.54391 * 6 5 4 36 36 H 1.09005 * 109.47309 * 309.54087 * 6 5 4 37 37 H 1.08994 * 109.47329 * 69.54367 * 6 5 4 38 38 H 1.09009 * 109.46981 * 49.99847 * 7 5 4 39 39 H 1.08996 * 109.47020 * 290.00360 * 7 5 4 40 40 H 0.97001 * 120.00171 * 359.97438 * 10 8 7 41 41 H 0.96999 * 119.99876 * 179.97438 * 14 13 11 42 42 H 0.97000 * 120.00045 * 91.64804 * 19 2 1 43 43 H 1.08991 * 109.50266 * 299.13859 * 24 22 20 44 44 H 1.09003 * 109.49751 * 59.25565 * 24 22 20 45 45 H 1.09000 * 109.51930 * 62.25018 * 25 24 22 46 46 H 1.08997 * 109.52038 * 182.37957 * 25 24 22 47 47 H 1.08998 * 109.49717 * 177.59828 * 26 25 24 48 48 H 1.08999 * 109.50331 * 297.71393 * 26 25 24 49 49 H 1.08995 * 109.46499 * 60.82928 * 27 26 25 50 50 H 1.08997 * 109.46455 * 180.81620 * 27 26 25 51 51 H 1.08994 * 109.46973 * 60.00279 * 29 28 22 52 52 H 1.09001 * 109.46757 * 179.97438 * 29 28 22 53 53 H 1.09001 * 109.46910 * 299.99751 * 29 28 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 1.8933 1.0277 0.0000 4 6 2.0400 -0.7212 -1.2492 5 7 3.5056 -0.8089 -1.2000 6 6 3.9995 -1.8706 -2.0869 7 6 4.1217 0.4828 -1.5313 8 6 5.5981 0.4260 -1.2347 9 8 6.0888 -0.5904 -0.7906 10 7 6.3731 1.5049 -1.4621 11 6 7.7164 1.4530 -1.1928 12 1 8.1535 0.5477 -0.7981 13 6 8.5154 2.5656 -1.4267 14 7 9.8028 2.5160 -1.1681 15 14 7.7593 4.1316 -2.1087 16 1 7.3146 4.9962 -0.9863 17 1 8.7695 4.8559 -2.9212 18 1 6.5928 3.7878 -2.9610 19 7 2.0183 -0.6906 1.1962 20 6 2.2113 -0.0034 2.3395 21 8 1.9803 1.1866 2.3781 22 6 2.7141 -0.7137 3.5698 23 1 2.2345 -1.6895 3.6472 24 6 4.2301 -0.8972 3.4688 25 6 4.7392 -1.6012 4.7298 26 6 4.3511 -0.7740 5.9585 27 6 2.8317 -0.5942 5.9873 28 7 2.3945 0.0842 4.7604 29 6 0.9603 0.3977 4.8146 30 1 -0.3634 0.5138 0.8900 31 1 -0.3634 0.5139 -0.8900 32 1 -0.3634 -1.0277 -0.0005 33 1 1.7389 -0.1661 -2.1377 34 1 1.6170 -1.7251 -1.2873 35 1 5.0629 -2.0288 -1.9070 36 1 3.4558 -2.7938 -1.8863 37 1 3.8464 -1.5771 -3.1254 38 1 3.6609 1.2692 -0.9333 39 1 3.9716 0.6961 -2.5896 40 1 5.9807 2.3179 -1.8169 41 1 10.3606 3.2925 -1.3317 42 1 2.2027 -1.6424 1.1654 43 1 4.4659 -1.5026 2.5937 44 1 4.7093 0.0776 3.3776 45 1 4.2896 -2.5916 4.8006 46 1 5.8239 -1.6961 4.6811 47 1 4.6735 -1.2914 6.8620 48 1 4.8323 0.2027 5.9064 49 1 2.3516 -1.5705 6.0532 50 1 2.5534 0.0067 6.8530 51 1 0.3871 -0.5287 4.8505 52 1 0.7512 0.9888 5.7062 53 1 0.6787 0.9652 3.9276 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 ZINC001699450659.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 06:14:28 Heat of formation + Delta-G solvation = -55.445599 kcal Electronic energy + Delta-G solvation = -31842.880989 eV Core-core repulsion = 27749.807180 eV Total energy + Delta-G solvation = -4093.073809 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.38093 -38.93575 -38.10230 -36.82469 -34.76604 -33.80430 -33.46472 -31.89013 -31.63341 -30.27159 -28.23776 -27.01122 -26.86564 -24.61793 -24.21378 -22.96720 -22.37493 -21.00593 -20.36866 -19.66876 -19.29436 -18.23756 -17.27351 -16.42292 -16.14763 -15.50446 -15.40215 -15.11165 -14.90217 -14.80454 -14.55068 -14.33118 -14.19123 -13.91412 -13.66995 -13.46594 -13.15678 -13.05236 -12.96331 -12.79152 -12.56249 -12.39587 -12.17531 -12.12935 -11.94242 -11.79952 -11.71349 -11.51611 -11.37945 -11.27925 -11.10731 -10.91066 -10.70119 -10.69477 -10.55571 -10.42263 -9.94224 -9.49940 -9.42038 -8.91235 -8.55600 -8.35744 -8.14307 -7.96341 -6.27642 -3.78475 2.78746 3.06066 3.11738 3.12834 3.18993 3.77616 3.86281 3.95017 4.14396 4.59742 4.69376 4.74851 4.88468 4.89114 4.97252 5.08910 5.09603 5.17711 5.21509 5.26103 5.32653 5.34646 5.42095 5.46592 5.47103 5.54285 5.57224 5.61048 5.66445 5.66969 5.80176 5.87249 5.87744 5.92340 5.95650 5.98871 6.01351 6.06606 6.14244 6.20961 6.42899 6.46242 6.61856 6.89816 7.00514 7.12792 7.26474 7.62077 7.68164 8.18156 8.42593 8.64025 8.99016 9.46621 9.87526 10.85521 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.009293 B = 0.003686 C = 0.003097 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3012.448510 B = 7593.932182 C = 9037.432218 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.146 3.854 3 H 0.089 0.911 4 C 0.043 3.957 5 N -0.513 5.513 6 C 0.022 3.978 7 C 0.041 3.959 8 C 0.456 3.544 9 O -0.559 6.559 10 N -0.591 5.591 11 C -0.302 4.302 12 H 0.119 0.881 13 C 0.042 3.958 14 N -0.882 5.882 15 Si 0.877 3.123 16 H -0.270 1.270 17 H -0.277 1.277 18 H -0.270 1.270 19 N -0.705 5.705 20 C 0.522 3.478 21 O -0.528 6.528 22 C 0.075 3.925 23 H 0.055 0.945 24 C -0.107 4.107 25 C -0.118 4.118 26 C -0.120 4.120 27 C 0.059 3.941 28 N -0.520 5.520 29 C 0.016 3.984 30 H 0.061 0.939 31 H 0.064 0.936 32 H 0.056 0.944 33 H 0.048 0.952 34 H 0.078 0.922 35 H 0.098 0.902 36 H 0.058 0.942 37 H 0.015 0.985 38 H 0.088 0.912 39 H 0.048 0.952 40 H 0.370 0.630 41 H 0.273 0.727 42 H 0.400 0.600 43 H 0.081 0.919 44 H 0.080 0.920 45 H 0.058 0.942 46 H 0.072 0.928 47 H 0.066 0.934 48 H 0.074 0.926 49 H 0.030 0.970 50 H 0.076 0.924 51 H 0.016 0.984 52 H 0.066 0.934 53 H 0.088 0.912 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.268 -8.106 6.708 22.836 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 -0.219 4.219 2 C 0.040 3.960 3 H 0.107 0.893 4 C -0.086 4.086 5 N -0.237 5.237 6 C -0.125 4.125 7 C -0.090 4.090 8 C 0.241 3.759 9 O -0.441 6.441 10 N -0.231 5.231 11 C -0.431 4.431 12 H 0.137 0.863 13 C -0.161 4.161 14 N -0.522 5.522 15 Si 0.704 3.296 16 H -0.195 1.195 17 H -0.202 1.202 18 H -0.196 1.196 19 N -0.357 5.357 20 C 0.308 3.692 21 O -0.404 6.404 22 C -0.037 4.037 23 H 0.073 0.927 24 C -0.145 4.145 25 C -0.156 4.156 26 C -0.158 4.158 27 C -0.069 4.069 28 N -0.245 5.245 29 C -0.132 4.132 30 H 0.080 0.920 31 H 0.083 0.917 32 H 0.075 0.925 33 H 0.066 0.934 34 H 0.097 0.903 35 H 0.116 0.884 36 H 0.077 0.923 37 H 0.034 0.966 38 H 0.106 0.894 39 H 0.066 0.934 40 H 0.202 0.798 41 H 0.083 0.917 42 H 0.234 0.766 43 H 0.100 0.900 44 H 0.099 0.901 45 H 0.076 0.924 46 H 0.090 0.910 47 H 0.085 0.915 48 H 0.093 0.907 49 H 0.048 0.952 50 H 0.094 0.906 51 H 0.034 0.966 52 H 0.085 0.915 53 H 0.107 0.893 Dipole moment (debyes) X Y Z Total from point charges -19.487 -7.504 7.477 22.180 hybrid contribution -1.039 0.400 -1.410 1.796 sum -20.526 -7.104 6.067 22.552 Atomic orbital electron populations 1.22144 0.95309 1.01950 1.02491 1.20925 0.92949 0.97972 0.84133 0.89339 1.22511 0.89057 1.00882 0.96192 1.61545 1.03560 1.04863 1.53734 1.22571 1.04119 0.93162 0.92664 1.21974 0.95459 0.92304 0.99294 1.19572 0.87052 0.84784 0.84453 1.90501 1.74504 1.30978 1.48151 1.42214 1.09103 1.12623 1.59137 1.19404 0.80866 1.02083 1.40757 0.86292 1.25015 0.95324 0.97939 0.97778 1.69619 1.04107 1.30787 1.47714 0.86703 0.79234 0.83999 0.79662 1.19514 1.20221 1.19593 1.45735 1.67313 1.12604 1.10003 1.20330 0.76950 0.87592 0.84367 1.90655 1.50532 1.14877 1.84308 1.21577 0.98270 0.94412 0.89406 0.92738 1.21545 0.91484 1.02847 0.98665 1.21563 1.01529 0.98197 0.94291 1.21632 0.94929 1.01288 0.97948 1.22123 0.96183 0.96545 0.92056 1.61614 1.17230 1.44763 1.00893 1.22569 0.86748 0.99583 1.04250 0.92037 0.91726 0.92534 0.93393 0.90341 0.88397 0.92323 0.96599 0.89409 0.93430 0.79797 0.91668 0.76551 0.90042 0.90113 0.92360 0.90963 0.91525 0.90706 0.95165 0.90570 0.96564 0.91510 0.89342 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 -0.16 -1.45 9.51 37.16 0.35 -1.10 16 2 C 0.15 1.66 2.65 -67.94 -0.18 1.48 16 3 H 0.09 1.25 6.27 -51.93 -0.33 0.92 16 4 C 0.04 0.46 4.58 -3.82 -0.02 0.44 16 5 N -0.51 -7.49 4.17 -244.37 -1.02 -8.51 16 6 C 0.02 0.32 9.19 60.06 0.55 0.87 16 7 C 0.04 0.69 5.27 -4.98 -0.03 0.67 16 8 C 0.46 10.31 7.54 -10.99 -0.08 10.22 16 9 O -0.56 -14.44 13.88 5.55 0.08 -14.36 16 10 N -0.59 -14.31 5.09 -10.96 -0.06 -14.37 16 11 C -0.30 -8.61 10.16 -14.93 -0.15 -8.76 16 12 H 0.12 3.84 7.39 -52.49 -0.39 3.46 16 13 C 0.04 1.17 5.50 -17.47 -0.10 1.08 16 14 N -0.88 -26.02 13.96 55.50 0.77 -25.24 16 15 Si 0.88 19.88 27.74 -169.99 -4.71 15.16 16 16 H -0.27 -6.07 7.11 56.52 0.40 -5.67 16 17 H -0.28 -6.25 7.11 56.52 0.40 -5.85 16 18 H -0.27 -5.60 6.52 56.52 0.37 -5.23 16 19 N -0.71 -8.41 4.79 -53.81 -0.26 -8.67 16 20 C 0.52 7.47 6.26 -10.98 -0.07 7.40 16 21 O -0.53 -9.36 14.13 5.56 0.08 -9.28 16 22 C 0.08 0.95 2.24 -68.88 -0.15 0.80 16 23 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 24 C -0.11 -1.46 5.36 -26.65 -0.14 -1.60 16 25 C -0.12 -1.32 6.00 -26.60 -0.16 -1.48 16 26 C -0.12 -1.25 6.09 -26.65 -0.16 -1.41 16 27 C 0.06 0.61 5.46 -3.83 -0.02 0.59 16 28 N -0.52 -6.66 4.51 -236.33 -1.07 -7.72 16 29 C 0.02 0.19 9.10 60.06 0.55 0.74 16 30 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 31 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 32 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.05 0.47 7.99 -51.93 -0.42 0.06 16 34 H 0.08 0.70 7.73 -51.93 -0.40 0.30 16 35 H 0.10 1.78 6.00 -51.93 -0.31 1.46 16 36 H 0.06 0.68 7.84 -51.93 -0.41 0.27 16 37 H 0.02 0.21 8.07 -51.93 -0.42 -0.21 16 38 H 0.09 1.43 6.73 -51.92 -0.35 1.08 16 39 H 0.05 0.72 8.07 -51.93 -0.42 0.30 16 40 H 0.37 8.02 5.76 -40.82 -0.24 7.78 16 41 H 0.27 7.45 8.31 -40.82 -0.34 7.11 16 42 H 0.40 4.14 8.64 -40.82 -0.35 3.79 16 43 H 0.08 1.15 8.14 -51.93 -0.42 0.73 16 44 H 0.08 1.35 8.14 -51.93 -0.42 0.92 16 45 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 46 H 0.07 0.82 8.14 -51.93 -0.42 0.40 16 47 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 48 H 0.07 0.89 8.14 -51.93 -0.42 0.46 16 49 H 0.03 0.29 8.14 -51.93 -0.42 -0.14 16 50 H 0.08 0.71 8.08 -51.93 -0.42 0.29 16 51 H 0.02 0.16 8.14 -51.93 -0.42 -0.26 16 52 H 0.07 0.69 8.09 -51.93 -0.42 0.27 16 53 H 0.09 1.20 5.63 -51.93 -0.29 0.91 16 LS Contribution 412.20 15.07 6.21 6.21 Total: -1.00 -33.74 412.20 -9.18 -42.92 By element: Atomic # 1 Polarization: 23.33 SS G_CDS: -9.40 Total: 13.93 kcal Atomic # 6 Polarization: 9.74 SS G_CDS: 0.19 Total: 9.92 kcal Atomic # 7 Polarization: -62.89 SS G_CDS: -1.62 Total: -64.51 kcal Atomic # 8 Polarization: -23.80 SS G_CDS: 0.16 Total: -23.64 kcal Atomic # 14 Polarization: 19.88 SS G_CDS: -4.71 Total: 15.16 kcal Total LS contribution 6.21 Total: 6.21 kcal Total: -33.74 -9.18 -42.92 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. ZINC001699450659.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 -12.525 kcal (2) G-P(sol) polarization free energy of solvation -33.741 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -46.266 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.179 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.921 kcal (6) G-S(sol) free energy of system = (1) + (5) -55.446 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds