Wall clock time and date at job start Wed Apr 1 2020 05:57:15 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= 0 * 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 O 1.42893 * 1 3 3 Si 1.63101 * 114.00236 * 2 1 4 4 C 1.86301 * 109.46953 * 299.99984 * 3 2 1 5 5 C 1.86299 * 109.47434 * 179.97438 * 3 2 1 6 6 C 1.53002 * 109.47371 * 179.97438 * 5 3 2 7 7 C 1.52999 * 109.47207 * 179.97438 * 6 5 3 8 8 O 1.42895 * 109.47095 * 180.02562 * 7 6 5 9 9 C 1.42897 * 114.00346 * 180.02562 * 8 7 6 10 10 C 1.53000 * 109.47502 * 180.02562 * 9 8 7 11 11 H 1.08994 * 109.47212 * 54.99196 * 10 9 8 12 12 O 1.42900 * 109.46773 * 294.99383 * 10 9 8 13 13 C 1.52992 * 109.47156 * 174.99673 * 10 9 8 14 14 N 1.46900 * 109.47183 * 184.99543 * 13 10 9 15 15 C 1.47846 * 111.00020 * 290.12614 * 14 13 10 16 16 C 1.54908 * 104.89238 * 213.57993 * 15 14 13 17 17 C 1.55422 * 101.52379 * 37.06612 * 16 15 14 18 18 C 1.50698 * 110.69674 * 205.97506 * 17 16 15 19 19 N 1.27949 * 120.00158 * 88.62148 * 18 17 16 20 20 Si 1.86804 * 119.99994 * 268.62554 * 18 17 16 21 21 H 1.48498 * 109.46887 * 359.97438 * 20 18 17 22 22 H 1.48500 * 109.47139 * 119.99921 * 20 18 17 23 23 H 1.48496 * 109.47004 * 239.99585 * 20 18 17 24 24 C 1.47448 * 111.00041 * 169.28484 * 14 13 10 25 25 O 1.63103 * 109.47214 * 59.99774 * 3 2 1 26 26 C 1.42902 * 113.99634 * 60.00008 * 25 3 2 27 27 H 1.08999 * 109.47360 * 179.97438 * 1 2 3 28 28 H 1.08995 * 109.47293 * 300.00296 * 1 2 3 29 29 H 1.09007 * 109.47067 * 60.00086 * 1 2 3 30 30 H 1.08998 * 109.47382 * 299.99583 * 4 3 2 31 31 H 1.09003 * 109.47212 * 60.00047 * 4 3 2 32 32 H 1.09008 * 109.47053 * 180.02562 * 4 3 2 33 33 H 1.09008 * 109.46956 * 60.00217 * 5 3 2 34 34 H 1.08997 * 109.47318 * 299.99892 * 5 3 2 35 35 H 1.08998 * 109.46624 * 60.00201 * 6 5 3 36 36 H 1.08997 * 109.46955 * 300.00291 * 6 5 3 37 37 H 1.09008 * 109.46853 * 60.00558 * 7 6 5 38 38 H 1.08988 * 109.47302 * 300.00622 * 7 6 5 39 39 H 1.08995 * 109.47345 * 59.99620 * 9 8 7 40 40 H 1.09007 * 109.46730 * 300.00004 * 9 8 7 41 41 H 0.96697 * 114.00349 * 300.00585 * 12 10 9 42 42 H 1.09009 * 109.47128 * 65.00075 * 13 10 9 43 43 H 1.09004 * 109.47619 * 304.99782 * 13 10 9 44 44 H 1.09002 * 110.37464 * 332.46590 * 15 14 13 45 45 H 1.08999 * 110.37318 * 94.69366 * 15 14 13 46 46 H 1.08998 * 110.98718 * 155.22204 * 16 15 14 47 47 H 1.08998 * 110.98705 * 279.03118 * 16 15 14 48 48 H 1.09005 * 110.84788 * 82.82423 * 17 16 15 49 49 H 0.96992 * 119.99735 * 180.02562 * 19 18 17 50 50 H 1.08999 * 109.88737 * 242.66366 * 24 14 13 51 51 H 1.09000 * 109.88899 * 3.85249 * 24 14 13 52 52 H 1.08999 * 109.47536 * 300.00216 * 26 25 3 53 53 H 1.08998 * 109.47279 * 60.00268 * 26 25 3 54 54 H 1.08997 * 109.46998 * 180.02562 * 26 25 3 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 8 1.4289 0.0000 0.0000 3 14 2.0924 1.4900 0.0000 4 6 1.5427 2.4145 -1.5212 5 6 3.9496 1.3429 0.0008 6 6 4.5719 2.7406 0.0001 7 6 6.0971 2.6198 0.0014 8 8 6.6784 3.9252 0.0014 9 6 8.1073 3.9253 0.0020 10 6 8.6174 5.3678 0.0026 11 1 8.1823 5.9066 0.8443 12 8 8.2399 6.0069 -1.2185 13 6 10.1420 5.3695 0.1290 14 7 10.6218 6.7527 0.2499 15 6 10.4544 7.4848 -1.0237 16 6 11.6553 8.4615 -1.0822 17 6 12.7870 7.6001 -0.4554 18 6 13.8423 8.4780 0.1664 19 7 13.7276 8.8511 1.3849 20 14 15.3179 9.0217 -0.8420 21 1 15.2155 8.4587 -2.2123 22 1 15.3473 10.5045 -0.9164 23 1 16.5640 8.5336 -0.1985 24 6 12.0468 6.7867 0.6272 25 8 1.6111 2.2994 1.3317 26 6 1.9843 1.6716 2.5600 27 1 -0.3634 -1.0276 -0.0005 28 1 -0.3633 0.5138 0.8899 29 1 -0.3633 0.5139 -0.8901 30 1 1.8643 1.8736 -2.4111 31 1 0.4561 2.5006 -1.5212 32 1 1.9864 3.4101 -1.5214 33 1 4.2716 0.8018 -0.8891 34 1 4.2709 0.8022 0.8910 35 1 4.2500 3.2820 0.8897 36 1 4.2506 3.2810 -0.8903 37 1 6.4194 2.0782 -0.8880 38 1 6.4180 2.0796 0.8919 39 1 8.4711 3.4113 -0.8876 40 1 8.4703 3.4116 0.8923 41 1 8.5924 5.5798 -2.0113 42 1 10.5806 4.9090 -0.7563 43 1 10.4340 4.8050 1.0146 44 1 10.4862 6.7934 -1.8658 45 1 9.5152 8.0378 -1.0229 46 1 11.8907 8.7295 -2.1122 47 1 11.4642 9.3516 -0.4828 48 1 13.2284 6.9379 -1.2003 49 1 14.4067 9.4165 1.7849 50 1 12.1620 7.2698 1.5975 51 1 12.4444 5.7726 0.6658 52 1 1.5400 0.6776 2.6097 53 1 3.0699 1.5872 2.6097 54 1 1.6274 2.2710 3.3975 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=0 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 ZINC001252240019.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 05:57:15 Heat of formation + Delta-G solvation = -212.602711 kcal Electronic energy + Delta-G solvation = -28653.901305 eV Core-core repulsion = 24555.784417 eV Total energy + Delta-G solvation = -4098.116888 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 348.209 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -40.57521 -39.27847 -37.97094 -37.79334 -37.42370 -36.14723 -34.46405 -33.08015 -30.56399 -29.76177 -29.09142 -27.62470 -27.24448 -26.83032 -25.62779 -23.62733 -22.93220 -22.22637 -21.82671 -20.23213 -18.27087 -18.13089 -17.72526 -17.63555 -17.21138 -17.07075 -16.73898 -16.23632 -16.18427 -16.03872 -16.03527 -15.53330 -15.48864 -14.99711 -14.89528 -14.80877 -14.61557 -14.37856 -14.19470 -13.72162 -13.59001 -13.44907 -13.35906 -13.17809 -13.10378 -12.91453 -12.76389 -12.62132 -12.35667 -12.33399 -12.25766 -12.03469 -12.02672 -11.88273 -11.72917 -11.66494 -11.62712 -11.26563 -11.25375 -10.83863 -10.75675 -10.53090 -10.41260 -9.91250 -9.14393 0.76352 1.01583 1.24114 1.34679 1.65498 1.78432 1.94446 2.01313 2.25758 2.51683 3.14616 3.43414 3.46770 3.71186 3.91447 4.00775 4.02891 4.06609 4.08440 4.15180 4.28064 4.29717 4.31636 4.34560 4.40452 4.42485 4.43777 4.44554 4.45692 4.54295 4.55536 4.59820 4.65324 4.69849 4.71316 4.73439 4.79516 4.86788 4.93617 4.99881 5.01683 5.12497 5.12741 5.18164 5.20571 5.31031 5.36595 5.44382 5.44736 5.63503 6.08124 6.11424 6.28045 6.74185 6.87009 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.054 3.946 2 O -0.660 6.660 3 Si 1.472 2.528 4 C -0.524 4.524 5 C -0.485 4.485 6 C -0.103 4.103 7 C 0.063 3.937 8 O -0.377 6.377 9 C 0.032 3.968 10 C 0.115 3.885 11 H 0.115 0.885 12 O -0.545 6.545 13 C 0.021 3.979 14 N -0.522 5.522 15 C 0.053 3.947 16 C -0.119 4.119 17 C -0.085 4.085 18 C 0.004 3.996 19 N -0.624 5.624 20 Si 0.929 3.071 21 H -0.234 1.234 22 H -0.242 1.242 23 H -0.243 1.243 24 C 0.050 3.950 25 O -0.656 6.656 26 C 0.054 3.946 27 H 0.082 0.918 28 H 0.048 0.952 29 H 0.048 0.952 30 H 0.077 0.923 31 H 0.070 0.930 32 H 0.079 0.921 33 H 0.083 0.917 34 H 0.078 0.922 35 H 0.074 0.926 36 H 0.074 0.926 37 H 0.046 0.954 38 H 0.046 0.954 39 H 0.049 0.951 40 H 0.057 0.943 41 H 0.367 0.633 42 H 0.039 0.961 43 H 0.084 0.916 44 H 0.045 0.955 45 H 0.092 0.908 46 H 0.078 0.922 47 H 0.081 0.919 48 H 0.091 0.909 49 H 0.337 0.663 50 H 0.104 0.896 51 H 0.050 0.950 52 H 0.047 0.953 53 H 0.047 0.953 54 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.706 -3.017 -1.310 3.705 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 -0.041 4.041 2 O -0.620 6.620 3 Si 1.556 2.444 4 C -0.625 4.625 5 C -0.563 4.563 6 C -0.141 4.141 7 C -0.014 4.014 8 O -0.297 6.297 9 C -0.046 4.046 10 C 0.056 3.944 11 H 0.133 0.867 12 O -0.350 6.350 13 C -0.108 4.108 14 N -0.246 5.246 15 C -0.074 4.074 16 C -0.159 4.159 17 C -0.105 4.105 18 C -0.245 4.245 19 N -0.237 5.237 20 Si 0.745 3.255 21 H -0.156 1.156 22 H -0.165 1.165 23 H -0.166 1.166 24 C -0.078 4.078 25 O -0.616 6.616 26 C -0.041 4.041 27 H 0.101 0.899 28 H 0.067 0.933 29 H 0.066 0.934 30 H 0.096 0.904 31 H 0.090 0.910 32 H 0.098 0.902 33 H 0.102 0.898 34 H 0.097 0.903 35 H 0.093 0.907 36 H 0.093 0.907 37 H 0.065 0.935 38 H 0.065 0.935 39 H 0.067 0.933 40 H 0.075 0.925 41 H 0.214 0.786 42 H 0.058 0.942 43 H 0.102 0.898 44 H 0.063 0.937 45 H 0.110 0.890 46 H 0.097 0.903 47 H 0.099 0.901 48 H 0.109 0.891 49 H 0.154 0.846 50 H 0.122 0.878 51 H 0.069 0.931 52 H 0.066 0.934 53 H 0.065 0.935 54 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges 0.941 -2.171 -0.126 2.369 hybrid contribution 1.939 -0.794 -1.398 2.519 sum 2.881 -2.965 -1.524 4.406 Atomic orbital electron populations 1.22194 0.78066 1.03300 1.00517 1.85444 1.23604 1.62141 1.90835 0.74883 0.62098 0.48776 0.58693 1.27128 1.06578 1.10576 1.18227 1.27133 1.24486 0.99263 1.05438 1.20980 0.93008 0.96467 1.03624 1.22632 0.94326 0.84479 0.99952 1.87954 1.18429 1.27921 1.95348 1.23191 0.82490 0.98202 1.00710 1.21915 0.92300 0.91186 0.89045 0.86674 1.86712 1.77043 1.56205 1.15010 1.22917 0.95592 0.90759 1.01514 1.63544 1.17739 1.12373 1.30910 1.23094 0.99037 0.95618 0.89644 1.22833 0.93304 0.98747 1.00999 1.21750 0.94474 0.96444 0.97816 1.30004 1.02393 0.95287 0.96816 1.68103 1.31767 1.11095 1.12689 0.85744 0.76841 0.81823 0.81097 1.15613 1.16524 1.16647 1.22991 0.85792 0.98774 1.00248 1.85469 1.81794 1.65778 1.28526 1.22188 0.99178 0.96843 0.85876 0.89920 0.93316 0.93396 0.90397 0.91046 0.90222 0.89818 0.90322 0.90735 0.90746 0.93525 0.93540 0.93275 0.92491 0.78647 0.94242 0.89752 0.93681 0.88953 0.90327 0.90069 0.89056 0.84611 0.87792 0.93124 0.93441 0.93457 0.89902 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 0.05 -0.04 10.20 101.05 1.03 0.99 16 2 O -0.66 -0.58 8.92 -53.57 -0.48 -1.06 16 3 Si 1.47 -0.31 10.69 -169.99 -1.82 -2.12 16 4 C -0.52 -0.15 8.50 101.05 0.86 0.71 16 5 C -0.48 0.14 4.30 37.16 0.16 0.30 16 6 C -0.10 -0.08 4.96 -26.73 -0.13 -0.22 16 7 C 0.06 0.07 5.94 37.16 0.22 0.29 16 8 O -0.38 -1.08 10.31 -40.08 -0.41 -1.50 16 9 C 0.03 0.01 5.57 37.16 0.21 0.21 16 10 C 0.12 0.07 3.45 -26.73 -0.09 -0.02 16 11 H 0.12 0.29 8.14 -51.93 -0.42 -0.14 16 12 O -0.55 -0.74 10.82 -40.08 -0.43 -1.18 16 13 C 0.02 -0.01 4.40 -3.83 -0.02 -0.03 16 14 N -0.52 -0.55 5.16 -231.24 -1.19 -1.74 16 15 C 0.05 0.01 5.08 -2.30 -0.01 0.00 16 16 C -0.12 0.06 6.53 -24.44 -0.16 -0.10 16 17 C -0.08 0.05 2.91 -89.79 -0.26 -0.21 16 18 C 0.00 0.00 4.86 -13.90 -0.07 -0.07 16 19 N -0.62 -0.51 12.21 56.23 0.69 0.18 16 20 Si 0.93 -1.37 29.56 -169.99 -5.02 -6.40 16 21 H -0.23 0.31 7.11 56.52 0.40 0.71 16 22 H -0.24 0.10 7.11 56.52 0.40 0.51 16 23 H -0.24 0.13 7.11 56.52 0.40 0.53 16 24 C 0.05 0.03 6.40 -2.83 -0.02 0.01 16 25 O -0.66 -0.70 8.92 -53.57 -0.48 -1.18 16 26 C 0.05 -0.04 10.20 101.05 1.03 0.99 16 27 H 0.08 -0.14 8.14 -51.93 -0.42 -0.57 16 28 H 0.05 -0.07 7.83 -51.93 -0.41 -0.48 16 29 H 0.05 -0.09 7.21 -51.92 -0.37 -0.46 16 30 H 0.08 -0.01 7.96 -51.93 -0.41 -0.42 16 31 H 0.07 0.01 7.48 -51.93 -0.39 -0.38 16 32 H 0.08 0.04 7.79 -51.92 -0.40 -0.36 16 33 H 0.08 -0.05 7.96 -51.92 -0.41 -0.47 16 34 H 0.08 -0.06 7.48 -51.93 -0.39 -0.44 16 35 H 0.07 0.08 7.96 -51.93 -0.41 -0.33 16 36 H 0.07 0.06 7.79 -51.93 -0.40 -0.34 16 37 H 0.05 0.02 8.14 -51.92 -0.42 -0.40 16 38 H 0.05 0.02 8.14 -51.94 -0.42 -0.41 16 39 H 0.05 -0.05 8.14 -51.93 -0.42 -0.47 16 40 H 0.06 -0.05 8.14 -51.92 -0.42 -0.47 16 41 H 0.37 -0.68 8.73 45.56 0.40 -0.28 16 42 H 0.04 -0.06 7.83 -51.92 -0.41 -0.47 16 43 H 0.08 -0.08 8.01 -51.93 -0.42 -0.50 16 44 H 0.04 -0.04 7.02 -51.93 -0.36 -0.41 16 45 H 0.09 0.16 7.59 -51.93 -0.39 -0.24 16 46 H 0.08 -0.16 8.14 -51.93 -0.42 -0.58 16 47 H 0.08 0.06 8.04 -51.93 -0.42 -0.36 16 48 H 0.09 -0.20 7.86 -51.93 -0.41 -0.61 16 49 H 0.34 -0.26 8.23 -40.82 -0.34 -0.60 16 50 H 0.10 0.26 6.65 -51.93 -0.35 -0.09 16 51 H 0.05 -0.01 7.54 -51.93 -0.39 -0.40 16 52 H 0.05 -0.07 7.83 -51.93 -0.41 -0.48 16 53 H 0.05 -0.08 7.21 -51.93 -0.37 -0.46 16 54 H 0.08 -0.12 8.14 -51.93 -0.42 -0.54 16 LS Contribution 428.32 15.07 6.45 6.45 Total: 0.00 -6.49 428.32 -9.60 -16.08 By element: Atomic # 1 Polarization: -0.76 SS G_CDS: -9.65 Total: -10.40 kcal Atomic # 6 Polarization: 0.12 SS G_CDS: 2.75 Total: 2.86 kcal Atomic # 7 Polarization: -1.06 SS G_CDS: -0.51 Total: -1.56 kcal Atomic # 8 Polarization: -3.11 SS G_CDS: -1.80 Total: -4.91 kcal Atomic # 14 Polarization: -1.68 SS G_CDS: -6.84 Total: -8.52 kcal Total LS contribution 6.45 Total: 6.45 kcal Total: -6.49 -9.60 -16.08 kcal The number of atoms in the molecule is 54 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. ZINC001252240019.mol2 54 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 -196.520 kcal (2) G-P(sol) polarization free energy of solvation -6.487 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -203.007 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.596 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -16.082 kcal (6) G-S(sol) free energy of system = (1) + (5) -212.603 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.80 seconds