Wall clock time and date at job start Sat Apr 11 2020 06:09:08 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 1.53005 * 1 3 3 C 1.52993 * 109.47007 * 2 1 4 4 C 1.53002 * 109.47085 * 239.99829 * 2 1 3 5 5 O 1.45202 * 109.46907 * 119.99665 * 2 1 3 6 6 C 1.34639 * 116.99837 * 60.00336 * 5 2 1 7 7 O 1.21511 * 120.00402 * 359.97438 * 6 5 2 8 8 N 1.34777 * 120.00236 * 180.02562 * 6 5 2 9 9 C 1.47210 * 126.69673 * 0.02562 * 8 6 5 10 10 C 1.53768 * 106.39905 * 148.68016 * 9 8 6 11 11 H 1.08997 * 112.04139 * 255.55296 * 10 9 8 12 12 C 1.54304 * 109.07754 * 130.90580 * 10 9 8 13 13 N 1.48525 * 104.69150 * 223.70116 * 12 10 9 14 14 C 1.46896 * 111.00653 * 159.22844 * 13 12 10 15 15 C 1.53003 * 109.46953 * 69.87032 * 14 13 12 16 16 H 1.08999 * 109.47344 * 60.00500 * 15 14 13 17 17 O 1.42907 * 109.47366 * 300.00138 * 15 14 13 18 18 C 1.50703 * 109.47202 * 180.02562 * 15 14 13 19 19 H 1.08002 * 119.99685 * 359.97438 * 18 15 14 20 20 C 1.37877 * 120.00216 * 180.02562 * 18 15 14 21 21 N 1.31516 * 120.00069 * 179.97438 * 20 18 15 22 22 Si 1.86800 * 119.99806 * 359.97438 * 20 18 15 23 23 H 1.48503 * 109.46845 * 90.00621 * 22 20 18 24 24 H 1.48503 * 109.47399 * 210.00111 * 22 20 18 25 25 H 1.48498 * 109.47295 * 330.00717 * 22 20 18 26 26 C 1.48519 * 104.20883 * 39.67666 * 13 12 10 27 27 C 1.54305 * 104.69518 * 320.32199 * 26 13 12 28 28 C 1.52995 * 112.88522 * 261.54079 * 27 26 13 29 29 C 1.47198 * 126.70610 * 180.02562 * 8 6 5 30 30 H 1.08994 * 109.47198 * 300.00380 * 1 2 3 31 31 H 1.08997 * 109.46988 * 60.00177 * 1 2 3 32 32 H 1.08999 * 109.47022 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.47360 * 179.97438 * 3 2 1 34 34 H 1.09003 * 109.47445 * 299.99463 * 3 2 1 35 35 H 1.09004 * 109.47610 * 59.99731 * 3 2 1 36 36 H 1.09007 * 109.46946 * 299.99940 * 4 2 1 37 37 H 1.08997 * 109.47213 * 60.00131 * 4 2 1 38 38 H 1.09002 * 109.46575 * 180.02562 * 4 2 1 39 39 H 1.09001 * 110.07018 * 29.45026 * 9 8 6 40 40 H 1.08998 * 110.11764 * 267.93727 * 9 8 6 41 41 H 1.09001 * 110.39733 * 104.89388 * 12 10 9 42 42 H 1.09002 * 110.39431 * 342.49905 * 12 10 9 43 43 H 1.09008 * 109.47013 * 309.87653 * 14 13 12 44 44 H 1.08996 * 109.47783 * 189.86751 * 14 13 12 45 45 H 0.96696 * 114.00317 * 300.00645 * 17 15 14 46 46 H 0.97000 * 119.99667 * 179.97438 * 21 20 18 47 47 H 1.08996 * 110.39585 * 79.12784 * 26 13 12 48 48 H 1.09001 * 110.39368 * 201.52201 * 26 13 12 49 49 H 1.08998 * 109.47917 * 178.23761 * 28 27 26 50 50 H 1.09000 * 109.47102 * 298.24316 * 28 27 26 51 51 H 1.09007 * 109.46954 * 58.23677 * 28 27 26 52 52 H 1.08996 * 110.06825 * 330.54755 * 29 8 6 53 53 H 1.08996 * 110.07337 * 92.02846 * 29 8 6 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 6 2.0400 1.4424 0.0000 4 6 2.0401 -0.7213 -1.2492 5 8 2.0140 -0.6844 1.1856 6 6 1.6523 -1.9723 1.3384 7 8 0.9509 -2.5095 0.5041 8 7 2.0671 -2.6654 2.4173 9 6 2.9135 -2.1644 3.5126 10 6 2.4804 -2.9235 4.7778 11 1 1.8771 -2.3032 5.4405 12 6 3.7335 -3.4792 5.4863 13 7 3.3650 -4.8656 5.8710 14 6 4.5628 -5.6838 6.1028 15 6 5.2616 -5.2144 7.3804 16 1 4.5814 -5.3184 8.2258 17 8 5.6408 -3.8437 7.2399 18 6 6.4908 -6.0533 7.6180 19 1 6.7476 -6.8427 6.9271 20 6 7.2869 -5.8139 8.7179 21 7 8.3593 -6.5463 8.9255 22 14 6.8422 -4.4491 9.9134 23 1 5.9619 -4.9918 10.9790 24 1 8.0807 -3.9034 10.5247 25 1 6.1306 -3.3670 9.1868 26 6 2.5907 -5.3727 4.7094 27 6 1.7245 -4.1760 4.2640 28 6 0.2929 -4.2458 4.7992 29 6 1.7625 -4.0710 2.7304 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 3.1300 1.4425 0.0005 34 1 1.6768 1.9563 -0.8900 35 1 1.6767 1.9564 0.8900 36 1 1.6767 -1.7490 -1.2492 37 1 1.6768 -0.2075 -2.1392 38 1 3.1301 -0.7216 -1.2489 39 1 2.7570 -1.0941 3.6467 40 1 3.9630 -2.3647 3.2971 41 1 3.9629 -2.8873 6.3724 42 1 4.5834 -3.4877 4.8037 43 1 5.2431 -5.5798 5.2575 44 1 4.2736 -6.7292 6.2101 45 1 6.2469 -3.6766 6.5053 46 1 8.9195 -6.3776 9.6992 47 1 3.2637 -5.6741 3.9067 48 1 1.9584 -6.2082 5.0100 49 1 -0.2585 -3.3620 4.4786 50 1 -0.1965 -5.1396 4.4123 51 1 0.3138 -4.2857 5.8884 52 1 0.7940 -4.3459 2.3127 53 1 2.5404 -4.7207 2.3295 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 ZINC000931613190.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 06:09:08 Heat of formation + Delta-G solvation = -115.030674 kcal Electronic energy + Delta-G solvation = -31623.498548 eV Core-core repulsion = 27495.548185 eV Total energy + Delta-G solvation = -4127.950363 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.74 seconds Orbital eigenvalues (eV) -41.19943 -40.17553 -37.55213 -36.60517 -35.15925 -34.20952 -32.52690 -32.26560 -31.18683 -28.71085 -27.71006 -27.66470 -27.11287 -26.04595 -25.55658 -23.24185 -21.74316 -21.24410 -20.43031 -19.55303 -19.13138 -17.87170 -17.23708 -16.81319 -16.59052 -15.82979 -15.23246 -15.18469 -14.87326 -14.71306 -14.55950 -14.33977 -14.18822 -13.89081 -13.65311 -13.38037 -13.10817 -12.89266 -12.80716 -12.65920 -12.47712 -12.37077 -12.18834 -12.16051 -12.08135 -11.81261 -11.67922 -11.62344 -11.58775 -11.27459 -11.02802 -10.88397 -10.80975 -10.68658 -10.61828 -10.54068 -10.28859 -10.18074 -9.96572 -9.05185 -8.96087 -8.63782 -8.29573 -7.98013 -6.14199 -4.25807 1.87688 2.65662 3.39805 3.48952 3.66705 3.74480 4.17569 4.21978 4.41886 4.46042 4.52182 4.52940 4.60368 4.74376 4.95045 5.02710 5.06756 5.16076 5.19491 5.21991 5.23389 5.30055 5.38373 5.44450 5.50045 5.53150 5.55696 5.57582 5.66237 5.68038 5.72281 5.78619 5.80962 5.85733 5.96113 5.99331 6.00175 6.03827 6.05933 6.12473 6.19888 6.25983 6.26600 6.45326 6.65176 7.16720 7.26052 7.32186 7.45883 7.67630 8.14945 8.25935 8.80411 8.98390 9.50401 10.96371 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019837 B = 0.002480 C = 0.002357 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1411.177385 B =11285.493653 C =11876.214786 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.135 3.865 3 C -0.141 4.141 4 C -0.183 4.183 5 O -0.361 6.361 6 C 0.671 3.329 7 O -0.571 6.571 8 N -0.601 5.601 9 C 0.108 3.892 10 C -0.100 4.100 11 H 0.097 0.903 12 C 0.045 3.955 13 N -0.504 5.504 14 C 0.031 3.969 15 C 0.202 3.798 16 H 0.063 0.937 17 O -0.578 6.578 18 C -0.565 4.565 19 H 0.070 0.930 20 C 0.083 3.917 21 N -0.894 5.894 22 Si 0.874 3.126 23 H -0.288 1.288 24 H -0.298 1.298 25 H -0.216 1.216 26 C 0.041 3.959 27 C -0.072 4.072 28 C -0.124 4.124 29 C 0.133 3.867 30 H 0.059 0.941 31 H 0.069 0.931 32 H 0.087 0.913 33 H 0.067 0.933 34 H 0.080 0.920 35 H 0.067 0.933 36 H 0.087 0.913 37 H 0.069 0.931 38 H 0.059 0.941 39 H 0.081 0.919 40 H 0.073 0.927 41 H 0.106 0.894 42 H 0.042 0.958 43 H 0.030 0.970 44 H 0.074 0.926 45 H 0.351 0.649 46 H 0.265 0.735 47 H 0.044 0.956 48 H 0.081 0.919 49 H 0.053 0.947 50 H 0.057 0.943 51 H 0.069 0.931 52 H 0.083 0.917 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.750 13.161 -17.084 26.705 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 -0.240 4.240 2 C 0.099 3.901 3 C -0.198 4.198 4 C -0.241 4.241 5 O -0.276 6.276 6 C 0.426 3.574 7 O -0.461 6.461 8 N -0.341 5.341 9 C -0.015 4.015 10 C -0.120 4.120 11 H 0.115 0.885 12 C -0.083 4.083 13 N -0.227 5.227 14 C -0.097 4.097 15 C 0.144 3.856 16 H 0.080 0.920 17 O -0.383 6.383 18 C -0.603 4.603 19 H 0.088 0.912 20 C -0.121 4.121 21 N -0.531 5.531 22 Si 0.701 3.299 23 H -0.214 1.214 24 H -0.225 1.225 25 H -0.138 1.138 26 C -0.087 4.087 27 C -0.074 4.074 28 C -0.181 4.181 29 C 0.011 3.989 30 H 0.078 0.922 31 H 0.088 0.912 32 H 0.106 0.894 33 H 0.086 0.914 34 H 0.099 0.901 35 H 0.086 0.914 36 H 0.106 0.894 37 H 0.088 0.912 38 H 0.079 0.921 39 H 0.099 0.901 40 H 0.091 0.909 41 H 0.124 0.876 42 H 0.060 0.940 43 H 0.049 0.951 44 H 0.092 0.908 45 H 0.197 0.803 46 H 0.074 0.926 47 H 0.062 0.938 48 H 0.100 0.900 49 H 0.072 0.928 50 H 0.076 0.924 51 H 0.088 0.912 52 H 0.102 0.898 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -16.548 13.125 -16.368 26.721 hybrid contribution 0.943 0.272 -0.625 1.163 sum -15.605 13.396 -16.993 26.679 Atomic orbital electron populations 1.22513 0.94024 1.05039 1.02427 1.22074 0.94358 0.91545 0.82148 1.21858 1.02349 0.92470 1.03097 1.22517 1.01619 1.03481 0.96436 1.86319 1.71504 1.23446 1.46304 1.17429 0.78514 0.80325 0.81095 1.90890 1.41643 1.70613 1.42941 1.47206 1.52984 1.12785 1.21167 1.22342 0.94465 0.99509 0.85206 1.22889 0.97893 0.95699 0.95497 0.88473 1.23397 0.93453 0.91364 1.00038 1.65447 1.20659 1.02027 1.34574 1.22975 0.89511 0.97383 0.99836 1.19745 0.93881 0.79718 0.92251 0.91974 1.86704 1.67358 1.29728 1.54528 1.21487 1.08841 1.18844 1.11104 0.91185 1.25005 0.94019 0.95730 0.97387 1.69963 1.14842 1.39553 1.28707 0.86979 0.78059 0.84705 0.80174 1.21448 1.22480 1.13830 1.23249 0.96058 0.96268 0.93144 1.22028 0.96751 0.95740 0.92862 1.21646 0.93131 1.01423 1.01940 1.22240 1.02201 0.79826 0.94640 0.92188 0.91177 0.89411 0.91405 0.90147 0.91440 0.89413 0.91161 0.92148 0.90071 0.90863 0.87553 0.93997 0.95147 0.90787 0.80311 0.92593 0.93823 0.90049 0.92814 0.92383 0.91178 0.89814 0.90995 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.18 -1.65 8.37 37.16 0.31 -1.33 16 2 C 0.14 1.28 1.13 -90.62 -0.10 1.18 16 3 C -0.14 -0.96 8.85 37.15 0.33 -0.63 16 4 C -0.18 -1.69 8.37 37.16 0.31 -1.37 16 5 O -0.36 -4.29 9.38 -40.32 -0.38 -4.67 16 6 C 0.67 8.82 7.96 54.06 0.43 9.25 16 7 O -0.57 -8.41 12.11 -19.28 -0.23 -8.64 16 8 N -0.60 -7.23 3.32 -177.41 -0.59 -7.82 16 9 C 0.11 1.17 6.56 -3.25 -0.02 1.15 16 10 C -0.10 -1.14 3.69 -88.45 -0.33 -1.46 16 11 H 0.10 1.08 7.94 -51.93 -0.41 0.67 16 12 C 0.05 0.63 4.58 -2.24 -0.01 0.62 16 13 N -0.50 -7.81 5.37 -230.13 -1.24 -9.05 16 14 C 0.03 0.57 4.60 -3.82 -0.02 0.55 16 15 C 0.20 4.46 2.57 -27.88 -0.07 4.39 16 16 H 0.06 1.47 7.57 -51.93 -0.39 1.08 16 17 O -0.58 -11.96 7.11 -35.23 -0.25 -12.21 16 18 C -0.57 -15.19 9.34 -34.44 -0.32 -15.51 16 19 H 0.07 2.04 7.99 -52.49 -0.42 1.62 16 20 C 0.08 2.34 5.47 -17.82 -0.10 2.25 16 21 N -0.89 -26.92 13.96 55.43 0.77 -26.14 16 22 Si 0.87 21.43 26.99 -169.99 -4.59 16.84 16 23 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 24 H -0.30 -7.40 7.11 56.52 0.40 -7.00 16 25 H -0.22 -5.09 5.31 56.52 0.30 -4.79 16 26 C 0.04 0.52 5.67 -2.24 -0.01 0.51 16 27 C -0.07 -0.80 1.08 -152.35 -0.16 -0.96 16 28 C -0.12 -1.24 8.58 37.15 0.32 -0.92 16 29 C 0.13 1.48 6.20 -3.27 -0.02 1.46 16 30 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 31 H 0.07 0.49 8.14 -51.93 -0.42 0.06 16 32 H 0.09 1.00 5.88 -51.93 -0.31 0.69 16 33 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.08 0.40 8.14 -51.93 -0.42 -0.03 16 35 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 36 H 0.09 1.01 5.88 -51.93 -0.31 0.71 16 37 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 38 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 39 H 0.08 0.83 7.92 -51.93 -0.41 0.42 16 40 H 0.07 0.80 7.10 -51.93 -0.37 0.43 16 41 H 0.11 1.65 6.54 -51.93 -0.34 1.31 16 42 H 0.04 0.58 6.80 -51.93 -0.35 0.22 16 43 H 0.03 0.56 7.88 -51.92 -0.41 0.15 16 44 H 0.07 1.39 8.13 -51.93 -0.42 0.96 16 45 H 0.35 6.52 8.90 45.56 0.41 6.93 16 46 H 0.26 7.52 8.31 -40.82 -0.34 7.18 16 47 H 0.04 0.55 7.00 -51.93 -0.36 0.19 16 48 H 0.08 0.99 7.92 -51.93 -0.41 0.58 16 49 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 50 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 51 H 0.07 0.75 8.14 -51.92 -0.42 0.33 16 52 H 0.08 0.94 7.61 -51.93 -0.39 0.55 16 53 H 0.07 0.80 7.10 -51.93 -0.37 0.43 16 LS Contribution 398.69 15.07 6.01 6.01 Total: -1.00 -31.29 398.69 -8.70 -39.99 By element: Atomic # 1 Polarization: 15.27 SS G_CDS: -8.74 Total: 6.53 kcal Atomic # 6 Polarization: -1.38 SS G_CDS: 0.53 Total: -0.84 kcal Atomic # 7 Polarization: -41.95 SS G_CDS: -1.05 Total: -43.01 kcal Atomic # 8 Polarization: -24.66 SS G_CDS: -0.86 Total: -25.52 kcal Atomic # 14 Polarization: 21.43 SS G_CDS: -4.59 Total: 16.84 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -31.29 -8.70 -39.99 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. ZINC000931613190.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 -75.043 kcal (2) G-P(sol) polarization free energy of solvation -31.293 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.336 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.695 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.988 kcal (6) G-S(sol) free energy of system = (1) + (5) -115.031 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.74 seconds