Wall clock time and date at job start Wed Apr 1 2020 00:19:28 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 1.52998 * 1 3 3 H 1.09000 * 109.51217 * 2 1 4 4 C 1.52876 * 109.62713 * 240.00656 * 2 1 3 5 5 N 1.47154 * 108.63626 * 187.85657 * 4 2 1 6 6 C 1.34779 * 120.99142 * 230.52725 * 5 4 2 7 7 O 1.21591 * 120.00091 * 184.76378 * 6 5 4 8 8 N 1.34778 * 120.00187 * 4.76153 * 6 5 4 9 9 C 1.46495 * 120.00340 * 185.04575 * 8 6 5 10 10 C 1.52994 * 109.47248 * 180.02562 * 9 8 6 11 11 C 1.53004 * 109.46988 * 60.00261 * 10 9 8 12 12 C 1.53000 * 109.47351 * 300.00472 * 10 9 8 13 13 C 1.50704 * 109.47417 * 180.02562 * 10 9 8 14 14 H 1.07996 * 119.99753 * 358.36446 * 13 10 9 15 15 C 1.37878 * 120.00243 * 178.36554 * 13 10 9 16 16 N 1.31510 * 120.00042 * 194.52890 * 15 13 10 17 17 Si 1.86802 * 119.99652 * 14.80871 * 15 13 10 18 18 H 1.48495 * 109.47360 * 84.84619 * 17 15 13 19 19 H 1.48507 * 109.46584 * 204.84305 * 17 15 13 20 20 H 1.48494 * 109.47480 * 324.84188 * 17 15 13 21 21 C 1.47171 * 118.01874 * 50.25834 * 5 4 2 22 22 C 1.53190 * 108.37312 * 309.82810 * 21 5 4 23 23 C 1.53075 * 109.46793 * 172.24540 * 22 21 5 24 24 C 1.53204 * 109.03398 * 176.77024 * 23 22 21 25 25 C 1.53087 * 109.15157 * 303.14070 * 24 23 22 26 26 O 1.42904 * 109.45112 * 57.63035 * 25 24 23 27 27 C 1.42928 * 114.07583 * 298.80754 * 26 25 24 28 28 O 1.42869 * 109.40735 * 52.17246 * 22 21 5 29 29 H 1.09000 * 109.47546 * 299.88753 * 1 2 3 30 30 H 1.08995 * 109.47664 * 59.89508 * 1 2 3 31 31 H 1.09008 * 109.46942 * 179.89386 * 1 2 3 32 32 H 1.08998 * 109.61538 * 68.03080 * 4 2 1 33 33 H 1.08998 * 109.52481 * 307.62866 * 4 2 1 34 34 H 0.97000 * 119.99437 * 5.05409 * 8 6 5 35 35 H 1.09007 * 109.47063 * 60.00250 * 9 8 6 36 36 H 1.09006 * 109.47039 * 300.00578 * 9 8 6 37 37 H 1.09001 * 109.47410 * 180.02562 * 11 10 9 38 38 H 1.08998 * 109.47229 * 299.99537 * 11 10 9 39 39 H 1.09000 * 109.47504 * 60.00203 * 11 10 9 40 40 H 1.09004 * 109.46706 * 309.49926 * 12 10 9 41 41 H 1.08993 * 109.47456 * 69.50114 * 12 10 9 42 42 H 1.09004 * 109.47086 * 189.50792 * 12 10 9 43 43 H 0.96998 * 120.00283 * 179.97438 * 16 15 13 44 44 H 1.08997 * 109.68641 * 69.54889 * 21 5 4 45 45 H 1.09001 * 109.68403 * 190.07222 * 21 5 4 46 46 H 1.09008 * 109.54191 * 296.63182 * 23 22 21 47 47 H 1.08993 * 109.54577 * 56.90320 * 23 22 21 48 48 H 1.08994 * 109.52630 * 183.23665 * 24 23 22 49 49 H 1.09003 * 109.57623 * 63.07520 * 24 23 22 50 50 H 1.08999 * 109.47514 * 297.63003 * 25 24 23 51 51 H 1.09007 * 109.47417 * 177.62188 * 25 24 23 52 52 H 1.08999 * 109.48128 * 301.08004 * 27 26 25 53 53 H 1.08997 * 109.47922 * 181.03328 * 27 26 25 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 1.8941 1.0274 0.0000 4 6 2.0435 -0.7198 -1.2471 5 7 3.5025 -0.8744 -1.1336 6 6 4.3202 -0.5006 -2.1377 7 8 5.5145 -0.7155 -2.0612 8 7 3.8140 0.1114 -3.2266 9 6 4.6835 0.4182 -4.3650 10 6 3.8665 1.1075 -5.4596 11 6 3.2693 2.4045 -4.9100 12 6 2.7385 0.1794 -5.9150 13 6 4.7608 1.4226 -6.6310 14 1 5.8127 1.1816 -6.5874 15 6 4.2362 2.0184 -7.7583 16 7 4.9293 2.0360 -8.8758 17 14 2.5442 2.8076 -7.6959 18 1 2.6647 4.1974 -7.1868 19 1 1.9577 2.8293 -9.0601 20 1 1.6653 2.0236 -6.7916 21 6 4.0426 -1.4437 0.1114 22 6 3.4305 -0.6864 1.2940 23 6 3.8224 -1.3794 2.6015 24 6 3.2734 -0.5694 3.7803 25 6 3.8063 0.8633 3.6968 26 8 3.4305 1.4385 2.4437 27 6 3.9550 0.7509 1.3058 28 8 2.0076 -0.6760 1.1659 29 1 -0.3634 0.5121 0.8910 30 1 -0.3634 0.5154 -0.8890 31 1 -0.3633 -1.0277 -0.0019 32 1 1.8046 -0.1320 -2.1333 33 1 1.5751 -1.7013 -1.3200 34 1 2.8740 0.3488 -3.2565 35 1 5.1094 -0.5058 -4.7564 36 1 5.4869 1.0797 -4.0407 37 1 2.6868 2.8953 -5.6896 38 1 2.6222 2.1762 -4.0630 39 1 4.0728 3.0657 -4.5856 40 1 3.1484 -0.8035 -6.1476 41 1 2.0007 0.0862 -5.1181 42 1 2.2630 0.5944 -6.8037 43 1 4.5601 2.4549 -9.6689 44 1 3.7804 -2.4997 0.1763 45 1 5.1269 -1.3332 0.1256 46 1 3.4009 -2.3845 2.6220 47 1 4.9085 -1.4365 2.6726 48 1 3.5965 -1.0242 4.7167 49 1 2.1843 -0.5560 3.7386 50 1 4.8930 0.8522 3.7802 51 1 3.3854 1.4555 4.5093 52 1 5.0437 0.7402 1.3575 53 1 3.6390 1.2606 0.3956 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 ZINC000590948305.mol2 53 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 00:19:28 Heat of formation + Delta-G solvation = -95.346811 kcal Electronic energy + Delta-G solvation = -32554.960030 eV Core-core repulsion = 28427.863223 eV Total energy + Delta-G solvation = -4127.096807 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -41.20218 -39.53969 -37.94522 -36.81004 -34.75911 -34.42278 -33.29781 -32.37836 -31.48588 -30.30621 -27.28649 -26.58063 -26.39297 -25.58600 -25.39317 -24.58041 -22.82936 -21.68425 -20.22697 -19.56979 -19.32670 -18.04937 -17.19639 -16.61473 -16.35214 -16.06836 -15.89147 -15.61294 -15.28598 -15.20372 -14.94170 -14.41729 -14.26250 -13.94732 -13.83466 -13.48577 -13.04876 -12.99506 -12.90288 -12.84199 -12.62769 -12.60723 -12.39709 -12.23809 -12.12169 -12.05111 -11.89348 -11.44638 -11.39893 -11.35552 -10.85896 -10.65685 -10.44938 -10.38849 -10.34840 -10.18002 -10.06278 -9.84430 -9.57889 -9.16838 -8.76478 -8.71521 -8.48181 -8.29552 -6.16579 -4.13581 2.63646 3.21759 3.25494 3.29288 3.36504 3.38134 3.62836 4.05965 4.30263 4.32851 4.33801 4.41215 4.56486 4.60987 4.76746 4.83796 4.89581 5.01704 5.08555 5.14102 5.21237 5.25371 5.26756 5.37398 5.42526 5.44979 5.52086 5.60728 5.61290 5.66564 5.73933 5.78194 5.90323 5.95037 6.01837 6.05254 6.24210 6.33138 6.45129 6.50539 6.59102 6.68611 6.78013 6.79994 6.93418 7.03986 7.04873 7.20883 7.40855 7.70715 8.15382 8.43969 8.80464 8.89547 9.47390 10.96495 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019978 B = 0.002913 C = 0.002807 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1401.178847 B = 9610.991516 C = 9971.310694 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.070 3.930 3 H 0.069 0.931 4 C 0.082 3.918 5 N -0.638 5.638 6 C 0.705 3.295 7 O -0.590 6.590 8 N -0.737 5.737 9 C 0.159 3.841 10 C 0.029 3.971 11 C -0.144 4.144 12 C -0.144 4.144 13 C -0.513 4.513 14 H 0.077 0.923 15 C 0.076 3.924 16 N -0.890 5.890 17 Si 0.879 3.121 18 H -0.285 1.285 19 H -0.304 1.304 20 H -0.245 1.245 21 C 0.111 3.889 22 C 0.075 3.925 23 C -0.106 4.106 24 C -0.150 4.150 25 C 0.057 3.943 26 O -0.372 6.372 27 C 0.041 3.959 28 O -0.355 6.355 29 H 0.068 0.932 30 H 0.074 0.926 31 H 0.065 0.935 32 H 0.087 0.913 33 H 0.077 0.923 34 H 0.391 0.609 35 H 0.061 0.939 36 H 0.061 0.939 37 H 0.041 0.959 38 H 0.026 0.974 39 H 0.053 0.947 40 H 0.047 0.953 41 H 0.019 0.981 42 H 0.059 0.941 43 H 0.265 0.735 44 H 0.074 0.926 45 H 0.102 0.898 46 H 0.079 0.921 47 H 0.081 0.919 48 H 0.073 0.927 49 H 0.080 0.920 50 H 0.049 0.951 51 H 0.093 0.907 52 H 0.062 0.938 53 H 0.098 0.902 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.753 -5.779 24.602 26.744 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 -0.199 4.199 2 C 0.012 3.988 3 H 0.086 0.914 4 C -0.042 4.042 5 N -0.378 5.378 6 C 0.406 3.594 7 O -0.468 6.468 8 N -0.393 5.393 9 C 0.036 3.964 10 C 0.028 3.972 11 C -0.201 4.201 12 C -0.201 4.201 13 C -0.551 4.551 14 H 0.095 0.905 15 C -0.126 4.126 16 N -0.527 5.527 17 Si 0.711 3.289 18 H -0.213 1.213 19 H -0.232 1.232 20 H -0.171 1.171 21 C -0.013 4.013 22 C 0.034 3.966 23 C -0.144 4.144 24 C -0.188 4.188 25 C -0.020 4.020 26 O -0.290 6.290 27 C -0.037 4.037 28 O -0.274 6.274 29 H 0.087 0.913 30 H 0.093 0.907 31 H 0.084 0.916 32 H 0.106 0.894 33 H 0.095 0.905 34 H 0.228 0.772 35 H 0.079 0.921 36 H 0.079 0.921 37 H 0.059 0.941 38 H 0.045 0.955 39 H 0.072 0.928 40 H 0.066 0.934 41 H 0.038 0.962 42 H 0.077 0.923 43 H 0.075 0.925 44 H 0.092 0.908 45 H 0.121 0.879 46 H 0.098 0.902 47 H 0.099 0.901 48 H 0.092 0.908 49 H 0.098 0.902 50 H 0.067 0.933 51 H 0.111 0.889 52 H 0.080 0.920 53 H 0.116 0.884 Dipole moment (debyes) X Y Z Total from point charges -8.052 -5.808 24.500 26.435 hybrid contribution -1.045 0.503 -0.426 1.236 sum -9.097 -5.305 24.074 26.277 Atomic orbital electron populations 1.21709 0.92058 1.03129 1.03022 1.22425 0.95543 0.96012 0.84845 0.91359 1.22295 0.80991 1.01855 0.99038 1.47290 1.05711 1.67928 1.16838 1.15901 0.84820 0.78709 0.79967 1.90899 1.13473 1.62163 1.80265 1.45671 1.13737 1.62762 1.17141 1.21413 0.92086 0.99583 0.83290 1.18723 0.93676 0.91219 0.93610 1.22303 0.99634 0.99928 0.98253 1.22358 0.97705 1.00231 0.99797 1.20700 0.96303 1.41087 0.97033 0.90506 1.24960 0.97261 0.95629 0.94790 1.69952 1.38907 1.43262 1.00553 0.87438 0.85816 0.79973 0.75674 1.21279 1.23217 1.17105 1.21999 1.00663 0.96984 0.81618 1.22427 0.82645 0.95894 0.95636 1.21536 1.01160 0.99724 0.91943 1.22114 1.02689 0.95912 0.98086 1.22615 0.98802 0.94003 0.86530 1.87976 1.74695 1.52823 1.13554 1.23107 0.98324 0.92380 0.89851 1.87969 1.19374 1.76905 1.43161 0.91328 0.90667 0.91626 0.89446 0.90520 0.77212 0.92071 0.92065 0.94053 0.95540 0.92770 0.93361 0.96170 0.92273 0.92540 0.90783 0.87936 0.90221 0.90065 0.90790 0.90160 0.93271 0.88882 0.91966 0.88377 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 -1.10 9.57 37.16 0.36 -0.74 16 2 C 0.07 0.69 3.00 -26.80 -0.08 0.61 16 3 H 0.07 0.75 6.21 -51.93 -0.32 0.42 16 4 C 0.08 0.86 5.91 -3.75 -0.02 0.84 16 5 N -0.64 -8.33 2.60 -178.31 -0.46 -8.79 16 6 C 0.70 11.91 8.31 -86.91 -0.72 11.18 16 7 O -0.59 -12.12 15.85 5.29 0.08 -12.03 16 8 N -0.74 -12.29 4.91 -65.22 -0.32 -12.61 16 9 C 0.16 3.20 4.49 -4.05 -0.02 3.18 16 10 C 0.03 0.63 0.50 -155.66 -0.08 0.55 16 11 C -0.14 -2.88 7.63 37.16 0.28 -2.60 16 12 C -0.14 -2.89 7.48 37.16 0.28 -2.61 16 13 C -0.51 -13.70 8.62 -34.44 -0.30 -14.00 16 14 H 0.08 2.26 7.99 -52.49 -0.42 1.84 16 15 C 0.08 2.11 5.31 -17.82 -0.09 2.01 16 16 N -0.89 -26.49 13.96 55.43 0.77 -25.72 16 17 Si 0.88 20.71 22.78 -169.99 -3.87 16.84 16 18 H -0.29 -6.73 7.10 56.52 0.40 -6.33 16 19 H -0.30 -7.34 7.11 56.52 0.40 -6.94 16 20 H -0.25 -5.20 4.59 56.52 0.26 -4.94 16 21 C 0.11 1.27 5.29 -3.58 -0.02 1.25 16 22 C 0.07 0.76 0.71 -90.48 -0.06 0.69 16 23 C -0.11 -0.83 5.03 -26.59 -0.13 -0.97 16 24 C -0.15 -1.11 5.98 -26.58 -0.16 -1.27 16 25 C 0.06 0.47 6.84 37.20 0.25 0.73 16 26 O -0.37 -4.30 10.70 -42.41 -0.45 -4.75 16 27 C 0.04 0.46 5.10 37.16 0.19 0.65 16 28 O -0.35 -3.82 9.31 -42.41 -0.39 -4.21 16 29 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 30 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.06 0.48 8.14 -51.92 -0.42 0.06 16 32 H 0.09 0.87 5.65 -51.93 -0.29 0.58 16 33 H 0.08 0.75 8.14 -51.93 -0.42 0.32 16 34 H 0.39 5.71 3.79 -40.82 -0.15 5.55 16 35 H 0.06 1.32 8.14 -51.92 -0.42 0.89 16 36 H 0.06 1.31 8.14 -51.93 -0.42 0.89 16 37 H 0.04 0.87 2.57 -51.93 -0.13 0.74 16 38 H 0.03 0.43 6.86 -51.93 -0.36 0.08 16 39 H 0.05 1.09 8.14 -51.93 -0.42 0.67 16 40 H 0.05 0.97 8.12 -51.93 -0.42 0.54 16 41 H 0.02 0.33 7.13 -51.93 -0.37 -0.04 16 42 H 0.06 1.27 3.95 -51.93 -0.21 1.06 16 43 H 0.26 7.42 8.31 -40.82 -0.34 7.08 16 44 H 0.07 0.78 8.14 -51.93 -0.42 0.35 16 45 H 0.10 1.28 7.11 -51.93 -0.37 0.91 16 46 H 0.08 0.58 8.14 -51.92 -0.42 0.16 16 47 H 0.08 0.55 8.14 -51.93 -0.42 0.13 16 48 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 49 H 0.08 0.69 7.85 -51.93 -0.41 0.29 16 50 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 51 H 0.09 0.64 8.14 -51.92 -0.42 0.22 16 52 H 0.06 0.69 8.14 -51.93 -0.42 0.26 16 53 H 0.10 1.24 6.06 -51.93 -0.31 0.92 16 LS Contribution 384.24 15.07 5.79 5.79 Total: -1.00 -32.00 384.24 -8.15 -40.15 By element: Atomic # 1 Polarization: 14.80 SS G_CDS: -8.96 Total: 5.83 kcal Atomic # 6 Polarization: -0.16 SS G_CDS: -0.33 Total: -0.48 kcal Atomic # 7 Polarization: -47.12 SS G_CDS: -0.01 Total: -47.13 kcal Atomic # 8 Polarization: -20.23 SS G_CDS: -0.76 Total: -21.00 kcal Atomic # 14 Polarization: 20.71 SS G_CDS: -3.87 Total: 16.84 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -32.00 -8.15 -40.15 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. ZINC000590948305.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 -55.200 kcal (2) G-P(sol) polarization free energy of solvation -31.998 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -87.198 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.148 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.147 kcal (6) G-S(sol) free energy of system = (1) + (5) -95.347 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.10 seconds