Wall clock time and date at job start Wed Apr 1 2020 00:20:36 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 1.52996 * 1 3 3 H 1.08998 * 109.51536 * 2 1 4 4 C 1.53281 * 109.51314 * 239.89830 * 2 1 3 5 5 N 1.47162 * 108.56848 * 187.06225 * 4 2 1 6 6 C 1.34774 * 121.08778 * 231.26600 * 5 4 2 7 7 O 1.21275 * 120.00594 * 179.97438 * 6 5 4 8 8 C 1.50700 * 119.99626 * 359.97438 * 6 5 4 9 9 O 1.42901 * 109.47204 * 179.97438 * 8 6 5 10 10 C 1.42901 * 114.00030 * 179.97438 * 9 8 6 11 11 C 1.52994 * 109.47020 * 60.00025 * 10 9 8 12 12 C 1.52994 * 109.47056 * 180.02562 * 10 9 8 13 13 C 1.52998 * 109.47015 * 300.00045 * 10 9 8 14 14 C 1.47348 * 117.83493 * 51.24397 * 5 4 2 15 15 C 1.52359 * 108.41387 * 310.83036 * 14 5 4 16 16 C 1.54355 * 110.41507 * 173.58782 * 15 14 5 17 17 C 1.54471 * 102.95812 * 152.16715 * 16 15 14 18 18 N 1.47090 * 107.29113 * 338.86651 * 17 16 15 19 19 C 1.36931 * 125.62809 * 178.88317 * 18 17 16 20 20 H 1.08002 * 120.00098 * 179.69490 * 19 18 17 21 21 C 1.38812 * 120.00429 * 359.69375 * 19 18 17 22 22 N 1.31624 * 119.99535 * 359.97438 * 21 19 18 23 23 Si 1.86796 * 120.00187 * 180.27849 * 21 19 18 24 24 H 1.48497 * 109.47173 * 179.72427 * 23 21 19 25 25 H 1.48506 * 109.46866 * 299.71963 * 23 21 19 26 26 H 1.48501 * 109.47438 * 59.72083 * 23 21 19 27 27 C 1.47571 * 108.73734 * 358.61975 * 18 17 16 28 28 O 1.41876 * 111.46043 * 50.04304 * 15 14 5 29 29 H 1.09004 * 109.46910 * 180.09852 * 1 2 3 30 30 H 1.09003 * 109.47201 * 300.09934 * 1 2 3 31 31 H 1.08997 * 109.47259 * 60.10253 * 1 2 3 32 32 H 1.09001 * 109.61991 * 67.34460 * 4 2 1 33 33 H 1.09000 * 109.62359 * 306.79052 * 4 2 1 34 34 H 1.09001 * 109.47006 * 299.99900 * 8 6 5 35 35 H 1.08998 * 109.47372 * 59.99673 * 8 6 5 36 36 H 1.08999 * 109.47724 * 60.00199 * 11 10 9 37 37 H 1.09003 * 109.47052 * 179.97438 * 11 10 9 38 38 H 1.09002 * 109.47186 * 299.99987 * 11 10 9 39 39 H 1.08995 * 109.47787 * 59.99641 * 12 10 9 40 40 H 1.09003 * 109.47205 * 180.02562 * 12 10 9 41 41 H 1.09005 * 109.47242 * 299.99659 * 12 10 9 42 42 H 1.08998 * 109.47642 * 59.99921 * 13 10 9 43 43 H 1.09003 * 109.46834 * 180.02562 * 13 10 9 44 44 H 1.09002 * 109.47356 * 299.99902 * 13 10 9 45 45 H 1.08995 * 109.67374 * 191.09493 * 14 5 4 46 46 H 1.08997 * 109.70018 * 70.57807 * 14 5 4 47 47 H 1.09000 * 110.72866 * 270.72153 * 16 15 14 48 48 H 1.09006 * 110.73293 * 33.84497 * 16 15 14 49 49 H 1.08994 * 109.99520 * 219.38000 * 17 16 15 50 50 H 1.08997 * 109.76859 * 98.22587 * 17 16 15 51 51 H 0.97005 * 119.99717 * 180.02562 * 22 21 19 52 52 H 1.08996 * 110.37362 * 142.38865 * 27 18 17 53 53 H 1.09005 * 110.37765 * 264.62019 * 27 18 17 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 2.0420 -0.7246 -1.2499 5 7 3.5034 -0.8626 -1.1460 6 6 4.3124 -0.4737 -2.1513 7 8 5.5142 -0.5960 -2.0446 8 6 3.7234 0.1131 -3.4082 9 8 4.7750 0.4452 -4.3170 10 6 4.3219 1.0117 -5.5483 11 6 3.5484 2.3004 -5.2626 12 6 5.5258 1.3256 -6.4387 13 6 3.4065 0.0149 -6.2619 14 6 4.0536 -1.4393 0.0933 15 6 3.4216 -0.7224 1.2798 16 6 3.8432 -1.3962 2.6030 17 6 3.7707 -0.2365 3.6207 18 7 3.8527 1.0193 2.8592 19 6 3.8016 2.2798 3.3916 20 1 3.8756 3.1423 2.7458 21 6 3.6546 2.4493 4.7615 22 7 3.5639 1.3983 5.5486 23 14 3.5771 4.1689 5.4869 24 1 3.4122 4.0778 6.9599 25 1 4.8337 4.8955 5.1735 26 1 2.4237 4.9006 4.9040 27 6 4.0056 0.6963 1.4274 28 8 2.0080 -0.6778 1.1664 29 1 -0.3633 -1.0277 0.0018 30 1 -0.3634 0.5154 0.8891 31 1 -0.3633 0.5122 -0.8909 32 1 1.7914 -0.1442 -2.1379 33 1 1.5847 -1.7120 -1.3138 34 1 3.0582 -0.6151 -3.8722 35 1 3.1606 1.0129 -3.1600 36 1 4.2006 3.0106 -4.7542 37 1 3.2032 2.7327 -6.2017 38 1 2.6907 2.0763 -4.6283 39 1 6.0766 0.4073 -6.6422 40 1 5.1802 1.7581 -7.3777 41 1 6.1783 2.0356 -5.9306 42 1 2.5488 -0.2092 -5.6277 43 1 3.0612 0.4469 -7.2012 44 1 3.9575 -0.9033 -6.4654 45 1 5.1345 -1.3010 0.1141 46 1 3.8188 -2.5027 0.1395 47 1 3.1470 -2.1913 2.8699 48 1 4.8598 -1.7831 2.5322 49 1 4.6046 -0.3012 4.3196 50 1 2.8261 -0.2802 4.1628 51 1 3.4609 1.5167 6.5059 52 1 3.4441 1.4033 0.8169 53 1 5.0588 0.7062 1.1465 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 ZINC001131648930.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 00:20:36 Heat of formation + Delta-G solvation = -87.884764 kcal Electronic energy + Delta-G solvation = -32213.280880 eV Core-core repulsion = 28086.507652 eV Total energy + Delta-G solvation = -4126.773228 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.67007 -39.45837 -38.28226 -36.33589 -34.60100 -33.72790 -33.13050 -31.31549 -29.78291 -29.04059 -28.00840 -27.76633 -27.07378 -26.51556 -25.29324 -23.53952 -21.88572 -20.44857 -20.15851 -19.76205 -18.87208 -17.55010 -16.97246 -16.81072 -16.30887 -16.08836 -16.02120 -15.05903 -14.84568 -14.65862 -14.48624 -14.22363 -14.08048 -13.71218 -13.57372 -13.43413 -13.25077 -12.90960 -12.55010 -12.48466 -12.31177 -12.28531 -12.15261 -12.10886 -12.06158 -11.94407 -11.72875 -11.58536 -11.51238 -11.03811 -10.92088 -10.85219 -10.83063 -10.42742 -10.20175 -10.11096 -10.07529 -9.86531 -9.65479 -9.58800 -9.52278 -8.54603 -8.36054 -6.77362 -5.66520 -2.99243 2.52699 2.59916 3.43093 3.47036 3.48491 3.56578 3.86389 4.32241 4.48815 4.51852 4.56791 4.66477 4.67367 4.75536 4.88225 4.95225 5.06542 5.12599 5.14700 5.19215 5.21759 5.34479 5.37141 5.39893 5.47264 5.50629 5.51784 5.53490 5.60470 5.61199 5.68708 5.72786 5.86930 5.91791 5.92354 5.94394 6.05056 6.18190 6.20320 6.29696 6.44080 6.50729 6.64000 6.67162 6.90704 7.31340 7.57361 7.65651 7.72000 7.87440 8.14252 8.30281 9.26325 9.86146 10.52495 11.45267 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013674 B = 0.003054 C = 0.002867 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2047.264300 B = 9166.935883 C = 9765.621472 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C 0.070 3.930 3 H 0.069 0.931 4 C 0.078 3.922 5 N -0.612 5.612 6 C 0.518 3.482 7 O -0.517 6.517 8 C 0.042 3.958 9 O -0.350 6.350 10 C 0.104 3.896 11 C -0.181 4.181 12 C -0.137 4.137 13 C -0.180 4.180 14 C 0.100 3.900 15 C 0.092 3.908 16 C -0.129 4.129 17 C 0.183 3.817 18 N -0.599 5.599 19 C -0.227 4.227 20 H 0.074 0.926 21 C -0.007 4.007 22 N -0.921 5.921 23 Si 0.912 3.088 24 H -0.290 1.290 25 H -0.286 1.286 26 H -0.286 1.286 27 C 0.121 3.879 28 O -0.345 6.345 29 H 0.063 0.937 30 H 0.072 0.928 31 H 0.068 0.932 32 H 0.086 0.914 33 H 0.079 0.921 34 H 0.079 0.921 35 H 0.081 0.919 36 H 0.068 0.932 37 H 0.068 0.932 38 H 0.059 0.941 39 H 0.064 0.936 40 H 0.071 0.929 41 H 0.066 0.934 42 H 0.059 0.941 43 H 0.068 0.932 44 H 0.066 0.934 45 H 0.102 0.898 46 H 0.073 0.927 47 H 0.073 0.927 48 H 0.073 0.927 49 H 0.043 0.957 50 H 0.051 0.949 51 H 0.252 0.748 52 H 0.038 0.962 53 H 0.026 0.974 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.620 -5.212 -22.825 24.078 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 -0.198 4.198 2 C 0.011 3.989 3 H 0.087 0.913 4 C -0.046 4.046 5 N -0.348 5.348 6 C 0.305 3.695 7 O -0.391 6.391 8 C -0.038 4.038 9 O -0.268 6.268 10 C 0.064 3.936 11 C -0.239 4.239 12 C -0.194 4.194 13 C -0.237 4.237 14 C -0.022 4.022 15 C 0.050 3.950 16 C -0.168 4.168 17 C 0.059 3.941 18 N -0.325 5.325 19 C -0.355 4.355 20 H 0.092 0.908 21 C -0.203 4.203 22 N -0.569 5.569 23 Si 0.742 3.258 24 H -0.216 1.216 25 H -0.212 1.212 26 H -0.213 1.213 27 C -0.006 4.006 28 O -0.264 6.264 29 H 0.082 0.918 30 H 0.091 0.909 31 H 0.087 0.913 32 H 0.104 0.896 33 H 0.097 0.903 34 H 0.097 0.903 35 H 0.099 0.901 36 H 0.087 0.913 37 H 0.087 0.913 38 H 0.078 0.922 39 H 0.083 0.917 40 H 0.090 0.910 41 H 0.085 0.915 42 H 0.078 0.922 43 H 0.087 0.913 44 H 0.085 0.915 45 H 0.121 0.879 46 H 0.091 0.909 47 H 0.092 0.908 48 H 0.091 0.909 49 H 0.061 0.939 50 H 0.069 0.931 51 H 0.063 0.937 52 H 0.056 0.944 53 H 0.043 0.957 Dipole moment (debyes) X Y Z Total from point charges -4.894 -5.283 -22.385 23.515 hybrid contribution -0.340 1.091 0.181 1.157 sum -5.234 -4.191 -22.204 23.194 Atomic orbital electron populations 1.21686 0.92440 1.02842 1.02840 1.22436 0.95299 0.96298 0.84884 0.91343 1.22559 0.80175 1.01997 0.99832 1.48128 1.06660 1.63153 1.16880 1.20175 0.86953 0.78336 0.84080 1.90725 1.14361 1.53760 1.80282 1.22237 0.91428 1.00275 0.89837 1.88116 1.30364 1.81994 1.26372 1.21599 0.95106 0.92216 0.84629 1.22464 1.00817 0.97957 1.02620 1.21738 0.96856 1.02663 0.98137 1.22456 0.99932 1.00218 1.01103 1.22190 1.00792 0.97130 0.82123 1.22338 0.81246 0.97091 0.94300 1.22844 1.00180 0.99974 0.93808 1.21155 1.01213 0.81267 0.90514 1.44405 1.86055 1.02507 0.99515 1.18968 1.43208 0.82535 0.90778 0.90766 1.24774 1.02229 0.97350 0.95982 1.69952 1.56396 1.27050 1.03469 0.86206 0.77847 0.83666 0.78075 1.21578 1.21219 1.21251 1.21927 0.97135 0.92935 0.88557 1.87850 1.20111 1.76469 1.41961 0.91824 0.90938 0.91341 0.89586 0.90302 0.90305 0.90144 0.91324 0.91280 0.92182 0.91654 0.91049 0.91533 0.92236 0.91281 0.91530 0.87928 0.90870 0.90849 0.90869 0.93851 0.93119 0.93735 0.94426 0.95691 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 -1.53 9.57 37.16 0.36 -1.18 16 2 C 0.07 0.96 3.20 -26.59 -0.08 0.88 16 3 H 0.07 1.07 6.26 -51.93 -0.32 0.75 16 4 C 0.08 0.85 5.81 -3.54 -0.02 0.83 16 5 N -0.61 -8.58 2.96 -172.69 -0.51 -9.09 16 6 C 0.52 7.82 7.79 -10.99 -0.09 7.73 16 7 O -0.52 -10.02 15.99 -14.35 -0.23 -10.25 16 8 C 0.04 0.47 3.99 36.01 0.14 0.61 16 9 O -0.35 -4.50 9.52 -55.14 -0.52 -5.02 16 10 C 0.10 0.93 1.14 -90.63 -0.10 0.82 16 11 C -0.18 -1.39 8.25 37.15 0.31 -1.08 16 12 C -0.14 -1.10 8.84 37.15 0.33 -0.77 16 13 C -0.18 -1.24 8.25 37.16 0.31 -0.94 16 14 C 0.10 1.57 5.30 -3.91 -0.02 1.55 16 15 C 0.09 1.68 0.83 -89.65 -0.07 1.60 16 16 C -0.13 -2.48 6.12 -25.25 -0.15 -2.63 16 17 C 0.18 4.57 5.39 -2.95 -0.02 4.55 16 18 N -0.60 -15.81 3.40 -170.30 -0.58 -16.39 16 19 C -0.23 -6.50 10.28 -15.06 -0.15 -6.66 16 20 H 0.07 2.07 7.83 -52.49 -0.41 1.66 16 21 C -0.01 -0.21 5.49 -17.43 -0.10 -0.30 16 22 N -0.92 -27.50 10.31 55.49 0.57 -26.93 16 23 Si 0.91 22.54 29.55 -169.99 -5.02 17.51 16 24 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 25 H -0.29 -6.98 7.11 56.52 0.40 -6.58 16 26 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 27 C 0.12 2.66 6.18 -2.87 -0.02 2.64 16 28 O -0.35 -6.19 9.92 -35.22 -0.35 -6.53 16 29 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 30 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 31 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.09 0.68 6.05 -51.93 -0.31 0.36 16 33 H 0.08 0.76 8.14 -51.93 -0.42 0.34 16 34 H 0.08 0.67 6.28 -51.93 -0.33 0.35 16 35 H 0.08 0.77 5.95 -51.93 -0.31 0.46 16 36 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 37 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 38 H 0.06 0.42 6.54 -51.93 -0.34 0.08 16 39 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 40 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 41 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 42 H 0.06 0.37 6.54 -51.93 -0.34 0.03 16 43 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 44 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.10 1.76 6.86 -51.93 -0.36 1.40 16 46 H 0.07 1.02 8.14 -51.93 -0.42 0.60 16 47 H 0.07 1.29 8.14 -51.93 -0.42 0.87 16 48 H 0.07 1.27 7.99 -51.93 -0.42 0.85 16 49 H 0.04 1.18 7.52 -51.93 -0.39 0.79 16 50 H 0.05 1.41 7.37 -51.93 -0.38 1.02 16 51 H 0.25 7.32 8.31 -40.82 -0.34 6.98 16 52 H 0.04 0.83 6.09 -51.93 -0.32 0.51 16 53 H 0.03 0.58 7.82 -51.93 -0.41 0.17 16 LS Contribution 402.65 15.07 6.07 6.07 Total: -1.00 -35.15 402.65 -9.23 -44.38 By element: Atomic # 1 Polarization: 7.86 SS G_CDS: -9.26 Total: -1.40 kcal Atomic # 6 Polarization: 7.04 SS G_CDS: 0.61 Total: 7.66 kcal Atomic # 7 Polarization: -51.89 SS G_CDS: -0.52 Total: -52.41 kcal Atomic # 8 Polarization: -20.70 SS G_CDS: -1.10 Total: -21.81 kcal Atomic # 14 Polarization: 22.54 SS G_CDS: -5.02 Total: 17.51 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -35.15 -9.23 -44.38 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. ZINC001131648930.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 -43.509 kcal (2) G-P(sol) polarization free energy of solvation -35.150 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -78.658 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.226 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.376 kcal (6) G-S(sol) free energy of system = (1) + (5) -87.885 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds