Wall clock time and date at job start Sat Apr 11 2020 06:10:33 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 1.53007 * 1 3 3 H 1.09001 * 109.46992 * 2 1 4 4 C 1.52995 * 109.46784 * 240.00082 * 2 1 3 5 5 N 1.46502 * 109.47526 * 65.00149 * 4 2 1 6 6 C 1.34774 * 120.00282 * 179.97438 * 5 4 2 7 7 O 1.21512 * 119.99880 * 0.02562 * 6 5 4 8 8 O 1.34639 * 120.00104 * 179.97438 * 6 5 4 9 9 C 1.45194 * 117.00109 * 180.02562 * 8 6 5 10 10 C 1.53004 * 109.46996 * 59.99947 * 9 8 6 11 11 C 1.52998 * 109.47163 * 179.97438 * 9 8 6 12 12 C 1.53005 * 109.47094 * 299.99814 * 9 8 6 13 13 C 1.50697 * 109.46860 * 120.00291 * 2 1 3 14 14 O 1.21291 * 120.00342 * 100.71881 * 13 2 1 15 15 N 1.34783 * 119.99917 * 280.70878 * 13 2 1 16 16 C 1.37090 * 120.00255 * 176.24244 * 15 13 2 17 17 H 1.08002 * 120.00420 * 226.37257 * 16 15 13 18 18 C 1.38952 * 119.99928 * 46.36306 * 16 15 13 19 19 N 1.31416 * 119.99729 * 17.71293 * 18 16 15 20 20 Si 1.86800 * 120.00073 * 197.71495 * 18 16 15 21 21 H 1.48495 * 109.47427 * 0.02562 * 20 18 16 22 22 H 1.48504 * 109.47177 * 120.00287 * 20 18 16 23 23 H 1.48503 * 109.46843 * 239.99814 * 20 18 16 24 24 C 1.46505 * 119.99909 * 355.97259 * 15 13 2 25 25 C 1.54265 * 110.03159 * 242.64059 * 24 15 13 26 26 C 1.54967 * 104.15873 * 217.13707 * 25 24 15 27 27 C 1.54885 * 102.77825 * 37.88817 * 26 25 24 28 28 C 1.53872 * 110.03295 * 125.41970 * 24 15 13 29 29 H 1.09002 * 109.46708 * 304.35090 * 1 2 3 30 30 H 1.09003 * 109.46737 * 64.34722 * 1 2 3 31 31 H 1.09001 * 109.47121 * 184.34891 * 1 2 3 32 32 H 1.09003 * 109.46783 * 184.99932 * 4 2 1 33 33 H 1.08998 * 109.47641 * 305.00009 * 4 2 1 34 34 H 0.97008 * 119.99920 * 359.97438 * 5 4 2 35 35 H 1.08999 * 109.46796 * 60.00264 * 10 9 8 36 36 H 1.09001 * 109.46587 * 179.97438 * 10 9 8 37 37 H 1.08997 * 109.47366 * 299.99851 * 10 9 8 38 38 H 1.09005 * 109.47214 * 60.00143 * 11 9 8 39 39 H 1.09003 * 109.47081 * 179.97438 * 11 9 8 40 40 H 1.08999 * 109.47489 * 300.00263 * 11 9 8 41 41 H 1.08996 * 109.46526 * 60.00455 * 12 9 8 42 42 H 1.09001 * 109.46755 * 179.97438 * 12 9 8 43 43 H 1.08991 * 109.47235 * 300.00108 * 12 9 8 44 44 H 0.97001 * 119.99381 * 184.94845 * 19 18 16 45 45 H 1.09000 * 110.01483 * 4.03620 * 24 15 13 46 46 H 1.09000 * 110.48663 * 335.78322 * 25 24 15 47 47 H 1.09003 * 110.48665 * 98.42692 * 25 24 15 48 48 H 1.09000 * 110.71720 * 279.57318 * 26 25 24 49 49 H 1.08997 * 110.92088 * 156.29824 * 26 25 24 50 50 H 1.09001 * 110.48561 * 203.40582 * 27 26 25 51 51 H 1.09002 * 110.59958 * 80.81600 * 27 26 25 52 52 H 1.08996 * 110.03650 * 238.56655 * 28 24 15 53 53 H 1.09003 * 110.03319 * 0.02562 * 28 24 15 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 1.5301 0.0000 0.0000 3 1 1.8934 1.0277 0.0000 4 6 2.0400 -0.7212 -1.2492 5 7 1.6524 0.0354 -2.4424 6 6 1.9964 -0.4131 -3.6659 7 8 2.6275 -1.4452 -3.7795 8 8 1.6398 0.2820 -4.7625 9 6 2.0437 -0.2606 -6.0472 10 6 1.4351 -1.6528 -6.2270 11 6 1.5518 0.6590 -7.1667 12 6 3.5696 -0.3601 -6.1018 13 6 2.0323 -0.7105 1.2304 14 8 2.4187 -1.8576 1.1532 15 7 2.0524 -0.0711 2.4168 16 6 2.4363 -0.7405 3.5499 17 1 1.8518 -0.6518 4.4537 18 6 3.5773 -1.5333 3.5355 19 7 4.4709 -1.3815 2.5839 20 14 3.8410 -2.8150 4.8686 21 1 2.6973 -2.7872 5.8152 22 1 3.9376 -4.1611 4.2490 23 1 5.0978 -2.5159 5.6010 24 6 1.6697 1.3410 2.4944 25 6 2.8672 2.1874 2.9735 26 6 2.2285 3.2666 3.8839 27 6 1.1105 2.4812 4.6136 28 6 0.5530 1.5279 3.5364 29 1 -0.3633 0.5799 0.8485 30 1 -0.3633 0.4449 -0.9264 31 1 -0.3633 -1.0247 0.0779 32 1 3.1263 -0.7994 -1.2056 33 1 1.6054 -1.7198 -1.2952 34 1 1.1482 0.8592 -2.3518 35 1 0.3481 -1.5818 -6.1881 36 1 1.7380 -2.0599 -7.1916 37 1 1.7851 -2.3082 -5.4295 38 1 1.9851 1.6510 -7.0389 39 1 1.8555 0.2518 -8.1312 40 1 0.4648 0.7295 -7.1277 41 1 3.9196 -1.0155 -5.3043 42 1 3.8728 -0.7679 -7.0661 43 1 4.0032 0.6316 -5.9737 44 1 5.2310 -1.9819 2.5322 45 1 1.3321 1.6902 1.5187 46 1 3.5653 1.5732 3.5422 47 1 3.3698 2.6518 2.1250 48 1 1.8061 4.0745 3.2864 49 1 2.9561 3.6549 4.5966 50 1 0.3322 3.1603 4.9617 51 1 1.5224 1.9143 5.4485 52 1 -0.3261 1.9687 3.0665 53 1 0.2961 0.5681 3.9846 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 ZINC000495617540.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 06:10:33 Heat of formation + Delta-G solvation = -122.282049 kcal Electronic energy + Delta-G solvation = -31657.528623 eV Core-core repulsion = 27529.263816 eV Total energy + Delta-G solvation = -4128.264806 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.64504 -39.20017 -37.55340 -36.74881 -35.11700 -34.07158 -33.27288 -32.22861 -31.00714 -28.07962 -27.53172 -27.44847 -26.86416 -26.33917 -25.09197 -22.80320 -21.42036 -20.17232 -20.08473 -19.72854 -18.88485 -17.98674 -16.75617 -16.30523 -16.09701 -15.93815 -15.11099 -14.94402 -14.67476 -14.51313 -14.33151 -14.19087 -13.89513 -13.53307 -13.40025 -13.09705 -12.80493 -12.64441 -12.57031 -12.38203 -12.19775 -11.98369 -11.95440 -11.70064 -11.52094 -11.37529 -11.34031 -11.07539 -10.97083 -10.85065 -10.71462 -10.63432 -10.60677 -10.47662 -10.36919 -10.32252 -10.19351 -10.00704 -9.94023 -9.71613 -8.90522 -8.66214 -8.01651 -7.06081 -6.04608 -3.85311 2.29293 3.02991 3.33617 3.43020 3.44889 4.14045 4.27376 4.38613 4.62343 4.65870 4.80741 4.88877 5.14354 5.17677 5.24517 5.27705 5.32543 5.41510 5.43484 5.50363 5.56284 5.57774 5.61812 5.64559 5.77242 5.81974 5.85215 5.92691 6.04813 6.08608 6.10921 6.15244 6.19720 6.21673 6.23756 6.25093 6.30255 6.38382 6.43844 6.46363 6.56176 6.62275 6.62374 6.68668 6.81753 6.95748 7.22149 7.61641 7.69554 8.34275 8.56577 9.11575 9.19056 9.70327 10.30846 11.01930 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013712 B = 0.002962 C = 0.002619 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2041.501291 B = 9451.722893 C =10689.181498 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C -0.123 4.123 3 H 0.084 0.916 4 C 0.160 3.840 5 N -0.707 5.707 6 C 0.646 3.354 7 O -0.566 6.566 8 O -0.369 6.369 9 C 0.136 3.864 10 C -0.184 4.184 11 C -0.139 4.139 12 C -0.184 4.184 13 C 0.488 3.512 14 O -0.531 6.531 15 N -0.445 5.445 16 C -0.339 4.339 17 H 0.077 0.923 18 C 0.074 3.926 19 N -0.831 5.831 20 Si 0.901 3.099 21 H -0.272 1.272 22 H -0.282 1.282 23 H -0.287 1.287 24 C 0.127 3.873 25 C -0.126 4.126 26 C -0.123 4.123 27 C -0.117 4.117 28 C -0.130 4.130 29 H 0.062 0.938 30 H 0.052 0.948 31 H 0.061 0.939 32 H 0.077 0.923 33 H 0.078 0.922 34 H 0.401 0.599 35 H 0.058 0.942 36 H 0.068 0.932 37 H 0.089 0.911 38 H 0.065 0.935 39 H 0.078 0.922 40 H 0.065 0.935 41 H 0.090 0.910 42 H 0.068 0.932 43 H 0.059 0.941 44 H 0.262 0.738 45 H 0.068 0.932 46 H 0.091 0.909 47 H 0.050 0.950 48 H 0.055 0.945 49 H 0.057 0.943 50 H 0.051 0.949 51 H 0.066 0.934 52 H 0.051 0.949 53 H 0.076 0.924 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.480 9.313 -12.069 16.981 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 -0.196 4.196 2 C -0.145 4.145 3 H 0.102 0.898 4 C 0.038 3.962 5 N -0.366 5.366 6 C 0.399 3.601 7 O -0.454 6.454 8 O -0.285 6.285 9 C 0.099 3.901 10 C -0.241 4.241 11 C -0.197 4.197 12 C -0.242 4.242 13 C 0.274 3.726 14 O -0.408 6.408 15 N -0.166 5.166 16 C -0.466 4.466 17 H 0.095 0.905 18 C -0.136 4.136 19 N -0.464 5.464 20 Si 0.728 3.272 21 H -0.197 1.197 22 H -0.208 1.208 23 H -0.214 1.214 24 C 0.022 3.978 25 C -0.165 4.165 26 C -0.161 4.161 27 C -0.155 4.155 28 C -0.168 4.168 29 H 0.081 0.919 30 H 0.071 0.929 31 H 0.080 0.920 32 H 0.095 0.905 33 H 0.096 0.904 34 H 0.236 0.764 35 H 0.077 0.923 36 H 0.087 0.913 37 H 0.108 0.892 38 H 0.084 0.916 39 H 0.097 0.903 40 H 0.084 0.916 41 H 0.108 0.892 42 H 0.087 0.913 43 H 0.078 0.922 44 H 0.072 0.928 45 H 0.086 0.914 46 H 0.109 0.891 47 H 0.069 0.931 48 H 0.074 0.926 49 H 0.076 0.924 50 H 0.070 0.930 51 H 0.084 0.916 52 H 0.070 0.930 53 H 0.095 0.905 Dipole moment (debyes) X Y Z Total from point charges -6.739 8.147 -12.274 16.200 hybrid contribution 0.089 -0.158 0.563 0.591 sum -6.649 7.990 -11.711 15.659 Atomic orbital electron populations 1.21755 0.93670 1.02813 1.01362 1.21508 0.97113 1.00760 0.95135 0.89821 1.21152 1.01032 0.94473 0.79554 1.44926 1.59589 1.28863 1.03253 1.18079 0.78651 0.81995 0.81381 1.90916 1.43677 1.24796 1.86048 1.86276 1.74664 1.52878 1.14637 1.22007 0.95044 0.93963 0.79054 1.22521 1.00989 0.96585 1.04009 1.21849 1.02185 0.99588 0.96040 1.22522 0.94087 1.03357 1.04186 1.19520 0.82371 0.86949 0.83789 1.90562 1.47677 1.18227 1.84369 1.43284 1.60573 1.05979 1.06793 1.18834 1.07536 1.29367 0.90862 0.90502 1.25204 0.93737 0.98099 0.96590 1.69872 1.09712 1.34273 1.32572 0.86337 0.77664 0.82037 0.81144 1.19688 1.20782 1.21389 1.21785 0.93739 0.85052 0.97179 1.22677 0.98690 0.96266 0.98822 1.22447 0.97708 0.97452 0.98446 1.22255 0.97371 0.97494 0.98355 1.22439 0.97324 1.00171 0.96885 0.91877 0.92862 0.91994 0.90461 0.90357 0.76428 0.92277 0.91345 0.89177 0.91553 0.90316 0.91573 0.89162 0.91339 0.92223 0.92759 0.91391 0.89086 0.93124 0.92590 0.92398 0.92978 0.91568 0.93012 0.90535 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -2.00 8.89 37.16 0.33 -1.67 16 2 C -0.12 -2.16 1.89 -91.77 -0.17 -2.34 16 3 H 0.08 1.36 6.55 -51.93 -0.34 1.02 16 4 C 0.16 2.90 4.44 -4.04 -0.02 2.88 16 5 N -0.71 -10.46 5.25 -65.28 -0.34 -10.80 16 6 C 0.65 10.36 8.06 54.05 0.44 10.80 16 7 O -0.57 -10.65 11.88 -19.28 -0.23 -10.88 16 8 O -0.37 -5.05 9.94 -40.32 -0.40 -5.45 16 9 C 0.14 1.56 1.13 -90.62 -0.10 1.46 16 10 C -0.18 -2.08 8.37 37.16 0.31 -1.77 16 11 C -0.14 -1.14 8.85 37.16 0.33 -0.81 16 12 C -0.18 -2.13 8.37 37.16 0.31 -1.82 16 13 C 0.49 11.55 6.21 -10.98 -0.07 11.49 16 14 O -0.53 -15.05 13.86 5.55 0.08 -14.98 16 15 N -0.44 -10.28 2.44 -106.54 -0.26 -10.54 16 16 C -0.34 -8.78 7.51 -14.94 -0.11 -8.90 16 17 H 0.08 1.95 6.91 -52.49 -0.36 1.59 16 18 C 0.07 2.03 4.41 -17.47 -0.08 1.95 16 19 N -0.83 -24.02 11.78 55.50 0.65 -23.37 16 20 Si 0.90 21.64 29.59 -169.99 -5.03 16.61 16 21 H -0.27 -6.32 7.11 56.52 0.40 -5.92 16 22 H -0.28 -7.04 7.11 56.52 0.40 -6.64 16 23 H -0.29 -6.78 7.11 56.52 0.40 -6.37 16 24 C 0.13 2.34 2.67 -66.81 -0.18 2.16 16 25 C -0.13 -2.28 6.43 -25.03 -0.16 -2.44 16 26 C -0.12 -1.78 6.91 -24.70 -0.17 -1.95 16 27 C -0.12 -1.72 6.83 -25.07 -0.17 -1.89 16 28 C -0.13 -2.10 6.20 -25.61 -0.16 -2.26 16 29 H 0.06 0.88 7.12 -51.93 -0.37 0.51 16 30 H 0.05 0.61 7.09 -51.93 -0.37 0.25 16 31 H 0.06 0.98 8.14 -51.93 -0.42 0.55 16 32 H 0.08 1.63 8.14 -51.93 -0.42 1.21 16 33 H 0.08 1.56 8.06 -51.93 -0.42 1.14 16 34 H 0.40 4.77 7.76 -40.82 -0.32 4.46 16 35 H 0.06 0.63 8.14 -51.93 -0.42 0.20 16 36 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 37 H 0.09 1.29 5.88 -51.93 -0.31 0.98 16 38 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 39 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 40 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 41 H 0.09 1.32 5.88 -51.93 -0.31 1.01 16 42 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 43 H 0.06 0.66 8.14 -51.93 -0.42 0.23 16 44 H 0.26 7.43 8.32 -40.82 -0.34 7.09 16 45 H 0.07 1.11 4.85 -51.93 -0.25 0.86 16 46 H 0.09 2.00 7.22 -51.93 -0.37 1.63 16 47 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 48 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 49 H 0.06 0.80 8.14 -51.93 -0.42 0.37 16 50 H 0.05 0.65 8.14 -51.93 -0.42 0.23 16 51 H 0.07 1.05 8.14 -51.93 -0.42 0.62 16 52 H 0.05 0.72 8.14 -51.93 -0.42 0.29 16 53 H 0.08 1.41 6.64 -51.93 -0.35 1.06 16 LS Contribution 407.63 15.07 6.14 6.14 Total: -1.00 -32.30 407.63 -8.30 -40.60 By element: Atomic # 1 Polarization: 17.02 SS G_CDS: -9.24 Total: 7.78 kcal Atomic # 6 Polarization: 4.55 SS G_CDS: 0.33 Total: 4.87 kcal Atomic # 7 Polarization: -44.76 SS G_CDS: 0.05 Total: -44.71 kcal Atomic # 8 Polarization: -30.75 SS G_CDS: -0.55 Total: -31.31 kcal Atomic # 14 Polarization: 21.64 SS G_CDS: -5.03 Total: 16.61 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -32.30 -8.30 -40.60 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. ZINC000495617540.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 -81.680 kcal (2) G-P(sol) polarization free energy of solvation -32.304 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.984 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.298 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.602 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.282 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds