Wall clock time and date at job start Sat Apr 11 2020 06:11:44 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 1.53002 * 1 3 3 O 1.42901 * 109.47117 * 2 1 4 4 C 1.42901 * 113.99555 * 184.74199 * 3 2 1 5 5 H 1.08998 * 109.47765 * 329.75269 * 4 3 2 6 6 C 1.50696 * 109.47290 * 89.75800 * 4 3 2 7 7 O 1.21282 * 120.00108 * 4.99313 * 6 4 3 8 8 N 1.34779 * 120.00308 * 184.99652 * 6 4 3 9 9 C 1.46503 * 120.00007 * 179.97438 * 8 6 4 10 10 C 1.52992 * 109.46744 * 175.39037 * 9 8 6 11 11 N 1.46495 * 110.43920 * 57.49647 * 10 9 8 12 12 C 1.36934 * 120.00266 * 62.20697 * 11 10 9 13 13 H 1.08004 * 120.00150 * 353.22385 * 12 11 10 14 14 C 1.38814 * 120.00109 * 173.22242 * 12 11 10 15 15 N 1.31618 * 120.00254 * 0.02562 * 14 12 11 16 16 Si 1.86808 * 119.99842 * 180.02562 * 14 12 11 17 17 H 1.48503 * 109.47095 * 89.99985 * 16 14 12 18 18 H 1.48500 * 109.47176 * 329.99964 * 16 14 12 19 19 H 1.48498 * 109.47005 * 210.00072 * 16 14 12 20 20 C 1.54897 * 110.48451 * 180.02562 * 10 9 8 21 21 C 1.55241 * 102.58731 * 156.67545 * 20 10 9 22 22 C 1.54261 * 104.23243 * 322.08490 * 21 20 10 23 23 C 1.53881 * 106.60012 * 23.60964 * 22 21 20 24 24 C 1.53001 * 109.46909 * 209.75289 * 4 3 2 25 25 H 1.08993 * 110.80601 * 184.86694 * 24 4 3 26 26 C 1.54817 * 110.90648 * 61.23266 * 24 4 3 27 27 C 1.54099 * 104.18996 * 220.92201 * 26 24 4 28 28 O 1.43753 * 107.29343 * 357.97046 * 27 26 24 29 29 C 1.44385 * 106.97278 * 26.51632 * 28 27 26 30 30 H 1.09000 * 109.47333 * 180.02562 * 1 2 3 31 31 H 1.09004 * 109.46859 * 300.00100 * 1 2 3 32 32 H 1.09000 * 109.46918 * 59.99762 * 1 2 3 33 33 H 1.09004 * 109.46859 * 239.99900 * 2 1 3 34 34 H 1.09000 * 109.46918 * 120.00238 * 2 1 3 35 35 H 0.96998 * 119.99474 * 359.97438 * 8 6 4 36 36 H 1.08995 * 109.46998 * 55.38963 * 9 8 6 37 37 H 1.08998 * 109.47253 * 295.38931 * 9 8 6 38 38 H 0.97003 * 119.99842 * 242.21710 * 11 10 9 39 39 H 0.96997 * 119.99409 * 359.97438 * 15 14 12 40 40 H 1.09003 * 110.75577 * 275.06700 * 20 10 9 41 41 H 1.09000 * 110.75220 * 38.43940 * 20 10 9 42 42 H 1.08997 * 110.47132 * 203.39407 * 21 20 10 43 43 H 1.08998 * 110.58041 * 80.83246 * 21 20 10 44 44 H 1.09000 * 110.03529 * 264.32720 * 22 21 20 45 45 H 1.09008 * 110.07447 * 142.91740 * 22 21 20 46 46 H 1.08991 * 110.03355 * 240.71460 * 23 22 21 47 47 H 1.09001 * 110.03050 * 119.28031 * 23 22 21 48 48 H 1.08991 * 110.48731 * 339.60136 * 26 24 4 49 49 H 1.09000 * 110.48478 * 102.24863 * 26 24 4 50 50 H 1.08996 * 109.88113 * 117.39696 * 27 26 24 51 51 H 1.09002 * 109.88263 * 238.55282 * 27 26 24 52 52 H 1.09000 * 110.61407 * 201.43776 * 29 28 27 53 53 H 1.08993 * 110.62185 * 78.43843 * 29 28 27 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 8 2.0064 1.3473 0.0000 4 6 3.4267 1.4615 -0.1079 5 1 3.8971 0.5918 0.3506 6 6 3.8157 1.5348 -1.5620 7 8 2.9576 1.5847 -2.4175 8 7 5.1173 1.5449 -1.9117 9 6 5.4955 1.6156 -3.3253 10 6 7.0168 1.7283 -3.4411 11 7 7.6657 0.5932 -2.7803 12 6 7.4450 -0.6802 -3.2329 13 1 6.7104 -0.8595 -4.0040 14 6 8.1654 -1.7406 -2.7006 15 7 9.0603 -1.5222 -1.7604 16 14 7.8648 -3.4777 -3.3185 17 1 8.7701 -3.7602 -4.4613 18 1 6.4533 -3.6082 -3.7612 19 1 8.1319 -4.4455 -2.2244 20 6 7.4430 1.8054 -4.9283 21 6 8.8271 2.5038 -4.8478 22 6 8.6584 3.5521 -3.7288 23 6 7.5074 3.0591 -2.8344 24 6 3.8922 2.7304 0.6091 25 1 4.9618 2.8847 0.4677 26 6 3.5360 2.6764 2.1147 27 6 3.0539 4.1034 2.4403 28 8 3.1828 4.8824 1.2390 29 6 3.0863 3.9643 0.1289 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5139 -0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 5.8036 1.5053 -1.2274 36 1 5.0306 2.4890 -3.7825 37 1 5.1579 0.7145 -3.8372 38 1 8.2516 0.7437 -2.0220 39 1 9.2166 -0.6202 -1.4399 40 1 7.5356 0.8070 -5.3559 41 1 6.7386 2.4084 -5.5012 42 1 9.0641 2.9905 -5.7939 43 1 9.6038 1.7859 -4.5842 44 1 8.4074 4.5213 -4.1598 45 1 9.5769 3.6292 -3.1468 46 1 6.6980 3.7889 -2.8314 47 1 7.8675 2.8960 -1.8186 48 1 2.7390 1.9546 2.2925 49 1 4.4168 2.4271 2.7064 50 1 2.0110 4.0793 2.7563 51 1 3.6723 4.5328 3.2285 52 1 3.5387 4.3940 -0.7649 53 1 2.0467 3.6950 -0.0574 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 ZINC001698799916.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 06:11:44 Heat of formation + Delta-G solvation = -131.106968 kcal Electronic energy + Delta-G solvation = -32195.234151 eV Core-core repulsion = 28066.586667 eV Total energy + Delta-G solvation = -4128.647483 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -40.41178 -39.07505 -38.34217 -37.24827 -34.22739 -33.71085 -33.20925 -31.01980 -30.60242 -29.58305 -28.32345 -28.02148 -26.38510 -24.15810 -23.32808 -23.04806 -22.62760 -21.08746 -20.31501 -19.68529 -19.00710 -17.66832 -17.01205 -16.97617 -16.30243 -16.24519 -15.76484 -15.24126 -15.10746 -15.00413 -14.78166 -14.36419 -14.12414 -13.95423 -13.70626 -13.67507 -13.41674 -12.94135 -12.81985 -12.71838 -12.37986 -12.13725 -11.94597 -11.72549 -11.56920 -11.38352 -11.33103 -11.11038 -10.93216 -10.82949 -10.79192 -10.71360 -10.66637 -10.48125 -10.30861 -10.17146 -10.05930 -10.04763 -9.75014 -9.20895 -9.12758 -8.93009 -8.56023 -7.13690 -6.17075 -3.19174 2.84217 3.23215 3.47192 3.49853 3.63799 3.70859 3.83987 4.29101 4.58422 4.61469 4.71764 4.85954 4.96468 5.00650 5.04312 5.05431 5.11863 5.14138 5.22971 5.25330 5.27346 5.35643 5.46367 5.56556 5.57479 5.58715 5.63489 5.70856 5.78924 5.80327 5.85500 5.86522 5.89205 5.99618 6.03602 6.05854 6.13159 6.18088 6.26942 6.35615 6.47470 6.52268 6.68109 6.74150 6.76059 6.86566 6.95655 7.01939 7.77353 7.90349 8.54330 8.67911 9.12347 9.98431 10.13376 11.30356 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009558 B = 0.003948 C = 0.003276 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2928.817784 B = 7089.951170 C = 8544.096862 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C 0.055 3.945 3 O -0.355 6.355 4 C 0.084 3.916 5 H 0.090 0.910 6 C 0.486 3.514 7 O -0.537 6.537 8 N -0.699 5.699 9 C 0.120 3.880 10 C 0.193 3.807 11 N -0.719 5.719 12 C -0.323 4.323 13 H 0.064 0.936 14 C -0.039 4.039 15 N -0.943 5.943 16 Si 1.075 2.925 17 H -0.295 1.295 18 H -0.296 1.296 19 H -0.289 1.289 20 C -0.128 4.128 21 C -0.113 4.113 22 C -0.118 4.118 23 C -0.123 4.123 24 C -0.114 4.114 25 H 0.101 0.899 26 C -0.148 4.148 27 C 0.050 3.950 28 O -0.380 6.380 29 C 0.058 3.942 30 H 0.070 0.930 31 H 0.060 0.940 32 H 0.065 0.935 33 H 0.054 0.946 34 H 0.048 0.952 35 H 0.400 0.600 36 H 0.055 0.945 37 H 0.064 0.936 38 H 0.367 0.633 39 H 0.255 0.745 40 H 0.077 0.923 41 H 0.053 0.947 42 H 0.051 0.949 43 H 0.068 0.932 44 H 0.055 0.945 45 H 0.056 0.944 46 H 0.063 0.937 47 H 0.061 0.939 48 H 0.083 0.917 49 H 0.079 0.921 50 H 0.058 0.942 51 H 0.081 0.919 52 H 0.090 0.910 53 H 0.077 0.923 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.072 9.094 5.942 14.814 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 -0.204 4.204 2 C -0.022 4.022 3 O -0.272 6.272 4 C 0.022 3.978 5 H 0.108 0.892 6 C 0.270 3.730 7 O -0.414 6.414 8 N -0.351 5.351 9 C -0.006 4.006 10 C 0.101 3.899 11 N -0.362 5.362 12 C -0.454 4.454 13 H 0.082 0.918 14 C -0.237 4.237 15 N -0.588 5.588 16 Si 0.907 3.093 17 H -0.223 1.223 18 H -0.222 1.222 19 H -0.215 1.215 20 C -0.168 4.168 21 C -0.150 4.150 22 C -0.156 4.156 23 C -0.162 4.162 24 C -0.133 4.133 25 H 0.120 0.880 26 C -0.186 4.186 27 C -0.026 4.026 28 O -0.299 6.299 29 C -0.019 4.019 30 H 0.088 0.912 31 H 0.079 0.921 32 H 0.084 0.916 33 H 0.072 0.928 34 H 0.067 0.933 35 H 0.235 0.765 36 H 0.074 0.926 37 H 0.082 0.918 38 H 0.201 0.799 39 H 0.066 0.934 40 H 0.095 0.905 41 H 0.071 0.929 42 H 0.070 0.930 43 H 0.087 0.913 44 H 0.073 0.927 45 H 0.075 0.925 46 H 0.081 0.919 47 H 0.080 0.920 48 H 0.102 0.898 49 H 0.098 0.902 50 H 0.076 0.924 51 H 0.100 0.900 52 H 0.108 0.892 53 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges -10.481 7.847 5.332 14.137 hybrid contribution 0.294 0.920 0.247 0.997 sum -10.187 8.767 5.580 14.552 Atomic orbital electron populations 1.21696 0.93539 1.02156 1.03013 1.22578 0.95801 0.83443 1.00349 1.87918 1.18677 1.26878 1.93757 1.21807 0.83949 0.99269 0.92748 0.89229 1.21084 0.83160 0.77373 0.91363 1.90678 1.49599 1.49561 1.51596 1.45811 1.06511 1.73075 1.09670 1.21844 0.97018 1.00786 0.80948 1.20554 0.89464 0.87483 0.92422 1.42413 1.55966 1.01688 1.36128 1.19915 1.19933 0.84916 1.20658 0.91810 1.25634 0.96257 1.03160 0.98694 1.70871 1.35167 1.22719 1.30051 0.83285 0.74937 0.75525 0.75558 1.22325 1.22235 1.21526 1.22883 0.95786 1.00853 0.97246 1.22241 0.98419 0.97354 0.97012 1.22053 0.98137 0.98223 0.97199 1.22382 0.97875 0.96753 0.99145 1.22833 1.01235 0.94024 0.95197 0.88047 1.22955 1.02473 0.98210 0.94932 1.23100 1.00554 0.90473 0.88522 1.88856 1.94426 1.31813 1.14819 1.23534 1.00613 0.87775 0.89939 0.91162 0.92111 0.91610 0.92790 0.93347 0.76508 0.92631 0.91793 0.79910 0.93398 0.90474 0.92855 0.92978 0.91304 0.92656 0.92476 0.91866 0.92024 0.89802 0.90187 0.92415 0.90031 0.89163 0.90435 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.15 -1.49 10.28 37.16 0.38 -1.11 16 2 C 0.05 0.67 6.44 37.16 0.24 0.91 16 3 O -0.35 -4.86 7.70 -55.09 -0.42 -5.29 16 4 C 0.08 1.12 2.25 -27.88 -0.06 1.06 16 5 H 0.09 1.11 7.83 -51.93 -0.41 0.71 16 6 C 0.49 8.09 6.74 -10.99 -0.07 8.02 16 7 O -0.54 -10.81 16.51 -14.30 -0.24 -11.04 16 8 N -0.70 -11.49 5.18 -60.30 -0.31 -11.80 16 9 C 0.12 2.15 4.34 -4.04 -0.02 2.13 16 10 C 0.19 3.40 0.52 -130.16 -0.07 3.33 16 11 N -0.72 -15.44 4.67 -45.70 -0.21 -15.66 16 12 C -0.32 -8.14 8.54 -15.06 -0.13 -8.27 16 13 H 0.06 1.65 7.13 -52.48 -0.37 1.28 16 14 C -0.04 -1.06 5.50 -17.43 -0.10 -1.16 16 15 N -0.94 -27.08 13.70 55.49 0.76 -26.32 16 16 Si 1.08 25.02 29.92 -169.99 -5.09 19.94 16 17 H -0.30 -6.77 7.11 56.52 0.40 -6.37 16 18 H -0.30 -6.62 7.11 56.52 0.40 -6.22 16 19 H -0.29 -6.85 7.11 56.52 0.40 -6.45 16 20 C -0.13 -2.20 5.90 -24.54 -0.14 -2.35 16 21 C -0.11 -1.79 6.80 -24.88 -0.17 -1.96 16 22 C -0.12 -1.68 6.80 -25.61 -0.17 -1.86 16 23 C -0.12 -1.84 5.72 -25.61 -0.15 -1.99 16 24 C -0.11 -1.32 2.96 -88.60 -0.26 -1.58 16 25 H 0.10 1.12 7.89 -51.93 -0.41 0.71 16 26 C -0.15 -1.43 6.50 -25.20 -0.16 -1.59 16 27 C 0.05 0.51 7.70 37.73 0.29 0.80 16 28 O -0.38 -4.98 11.52 -35.23 -0.41 -5.39 16 29 C 0.06 0.74 6.74 38.21 0.26 1.00 16 30 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 31 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 32 H 0.06 0.74 8.14 -51.93 -0.42 0.31 16 33 H 0.05 0.75 8.12 -51.93 -0.42 0.33 16 34 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 35 H 0.40 6.26 7.84 -40.82 -0.32 5.94 16 36 H 0.06 0.96 8.08 -51.93 -0.42 0.54 16 37 H 0.06 1.33 7.44 -51.93 -0.39 0.94 16 38 H 0.37 8.25 6.33 -40.82 -0.26 7.99 16 39 H 0.25 7.14 6.79 -40.82 -0.28 6.86 16 40 H 0.08 1.52 7.20 -51.93 -0.37 1.15 16 41 H 0.05 0.83 8.06 -51.93 -0.42 0.41 16 42 H 0.05 0.73 8.14 -51.93 -0.42 0.30 16 43 H 0.07 1.25 8.14 -51.93 -0.42 0.83 16 44 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 45 H 0.06 0.80 8.14 -51.92 -0.42 0.37 16 46 H 0.06 0.87 7.80 -51.93 -0.40 0.47 16 47 H 0.06 0.91 7.74 -51.93 -0.40 0.51 16 48 H 0.08 0.80 7.38 -51.93 -0.38 0.41 16 49 H 0.08 0.67 8.14 -51.93 -0.42 0.24 16 50 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 51 H 0.08 0.69 8.14 -51.93 -0.42 0.27 16 52 H 0.09 1.18 8.14 -51.93 -0.42 0.76 16 53 H 0.08 1.08 7.09 -51.93 -0.37 0.71 16 LS Contribution 414.68 15.07 6.25 6.25 Total: -1.00 -30.65 414.68 -9.50 -40.15 By element: Atomic # 1 Polarization: 23.26 SS G_CDS: -9.49 Total: 13.77 kcal Atomic # 6 Polarization: -4.27 SS G_CDS: -0.34 Total: -4.61 kcal Atomic # 7 Polarization: -54.01 SS G_CDS: 0.23 Total: -53.77 kcal Atomic # 8 Polarization: -20.65 SS G_CDS: -1.07 Total: -21.72 kcal Atomic # 14 Polarization: 25.02 SS G_CDS: -5.09 Total: 19.94 kcal Total LS contribution 6.25 Total: 6.25 kcal Total: -30.65 -9.50 -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. ZINC001698799916.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 -90.962 kcal (2) G-P(sol) polarization free energy of solvation -30.645 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -121.607 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.500 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.145 kcal (6) G-S(sol) free energy of system = (1) + (5) -131.107 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.85 seconds