Wall clock time and date at job start Sat Apr 11 2020 06:11:42 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 C 1.53005 * 109.47194 * 2 1 4 4 N 1.46502 * 109.47335 * 119.99847 * 2 1 3 5 5 C 1.34775 * 120.00234 * 155.00048 * 4 2 1 6 6 O 1.21284 * 120.00095 * 0.02562 * 5 4 2 7 7 C 1.50701 * 119.99901 * 180.02562 * 5 4 2 8 8 N 1.46904 * 109.46676 * 179.97438 * 7 5 4 9 9 C 1.46891 * 111.00206 * 293.95203 * 8 7 5 10 10 C 1.46908 * 110.99757 * 169.99955 * 8 7 5 11 11 C 1.50696 * 109.47219 * 189.99916 * 10 8 7 12 12 O 1.21287 * 119.99914 * 0.02562 * 11 10 8 13 13 N 1.34768 * 120.00079 * 179.97438 * 11 10 8 14 14 C 1.47426 * 125.64920 * 5.12538 * 13 11 10 15 15 C 1.54910 * 104.83077 * 155.83586 * 14 13 11 16 16 C 1.55398 * 101.66708 * 36.92939 * 15 14 13 17 17 C 1.47025 * 125.64821 * 185.09023 * 13 11 10 18 18 H 1.08998 * 109.87924 * 300.65910 * 17 13 11 19 19 C 1.52999 * 109.88438 * 61.67625 * 17 13 11 20 20 N 1.46503 * 109.46641 * 185.40844 * 19 17 13 21 21 C 1.36941 * 119.99401 * 175.01722 * 20 19 17 22 22 H 1.07998 * 120.00436 * 359.97438 * 21 20 19 23 23 C 1.38808 * 119.99809 * 179.97438 * 21 20 19 24 24 N 1.31626 * 120.00257 * 359.97438 * 23 21 20 25 25 Si 1.86804 * 120.00243 * 179.97438 * 23 21 20 26 26 H 1.48498 * 109.46941 * 359.97438 * 25 23 21 27 27 H 1.48495 * 109.47118 * 119.99623 * 25 23 21 28 28 H 1.48499 * 109.47052 * 240.00296 * 25 23 21 29 29 H 1.09004 * 109.46933 * 299.99710 * 1 2 3 30 30 H 1.08997 * 109.47195 * 60.00006 * 1 2 3 31 31 H 1.09000 * 109.46871 * 180.02562 * 1 2 3 32 32 H 1.09001 * 109.47239 * 239.99877 * 2 1 3 33 33 H 1.08997 * 109.47045 * 300.00086 * 3 2 1 34 34 H 1.09001 * 109.47128 * 59.99809 * 3 2 1 35 35 H 1.08996 * 109.47362 * 179.97438 * 3 2 1 36 36 H 0.97004 * 119.99625 * 335.00108 * 4 2 1 37 37 H 1.08999 * 109.47088 * 60.00175 * 7 5 4 38 38 H 1.08999 * 109.47023 * 300.00014 * 7 5 4 39 39 H 1.08999 * 109.47429 * 296.04897 * 9 8 7 40 40 H 1.09004 * 109.47017 * 56.04855 * 9 8 7 41 41 H 1.09000 * 109.47273 * 176.05057 * 9 8 7 42 42 H 1.09002 * 109.46687 * 69.99906 * 10 8 7 43 43 H 1.09001 * 109.46944 * 310.00334 * 10 8 7 44 44 H 1.08999 * 110.37114 * 274.67791 * 14 13 11 45 45 H 1.09006 * 110.36214 * 37.00404 * 14 13 11 46 46 H 1.08998 * 111.00232 * 155.08731 * 15 14 13 47 47 H 1.09008 * 111.00466 * 278.93932 * 15 14 13 48 48 H 1.09007 * 110.85289 * 206.29917 * 16 15 14 49 49 H 1.08996 * 110.69695 * 82.95262 * 16 15 14 50 50 H 1.08998 * 109.46951 * 65.40925 * 19 17 13 51 51 H 1.08996 * 109.47071 * 305.40663 * 19 17 13 52 52 H 0.96997 * 120.00591 * 354.73513 * 20 19 17 53 53 H 0.97000 * 120.00205 * 180.02562 * 24 23 21 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 6 2.0401 1.4425 0.0000 4 7 2.0184 -0.6906 1.1962 5 6 3.2404 -1.2591 1.1944 6 8 3.9359 -1.1987 0.2027 7 6 3.7425 -1.9700 2.4247 8 7 5.0890 -2.4989 2.1693 9 6 5.0554 -3.5524 1.1463 10 6 5.7061 -2.9886 3.4093 11 6 7.1609 -3.2929 3.1602 12 8 7.6369 -3.1186 2.0583 13 7 7.9332 -3.7579 4.1620 14 6 7.4647 -4.1141 5.5137 15 6 8.5106 -5.1277 6.0415 16 6 9.8297 -4.5521 5.4554 17 6 9.3824 -3.9945 4.0877 18 1 9.5998 -4.7191 3.3030 19 6 10.1101 -2.6801 3.7984 20 7 11.5369 -2.9458 3.5983 21 6 12.3764 -1.9307 3.2241 22 1 11.9867 -0.9345 3.0760 23 6 13.7283 -2.1823 3.0351 24 7 14.2035 -3.3963 3.2160 25 14 14.8735 -0.7978 2.5238 26 1 14.0978 0.4611 2.3867 27 1 15.9271 -0.6206 3.5551 28 1 15.5057 -1.1332 1.2227 29 1 -0.3633 0.5138 0.8901 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 1.8934 -0.5139 -0.8900 33 1 1.6767 1.9564 -0.8900 34 1 1.6767 1.9564 0.8900 35 1 3.1300 1.4426 0.0005 36 1 1.4622 -0.7386 1.9895 37 1 3.0699 -2.7921 2.6692 38 1 3.7789 -1.2699 3.2594 39 1 4.4754 -4.3985 1.5148 40 1 4.5937 -3.1631 0.2388 41 1 6.0722 -3.8775 0.9259 42 1 5.1960 -3.8949 3.7356 43 1 5.6218 -2.2255 4.1831 44 1 7.4377 -3.2303 6.1511 45 1 6.4792 -4.5772 5.4638 46 1 8.5355 -5.1316 7.1312 47 1 8.3163 -6.1275 5.6530 48 1 10.5730 -5.3390 5.3267 49 1 10.2170 -3.7544 6.0891 50 1 9.9816 -2.0007 4.6409 51 1 9.6955 -2.2257 2.8986 52 1 11.8876 -3.8398 3.7349 53 1 15.1483 -3.5720 3.0843 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 ZINC001270234669.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 06:11:42 Heat of formation + Delta-G solvation = -40.788741 kcal Electronic energy + Delta-G solvation = -30246.839760 eV Core-core repulsion = 26154.401520 eV Total energy + Delta-G solvation = -4092.438240 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.69 seconds Orbital eigenvalues (eV) -40.37337 -39.86824 -37.84323 -36.60624 -35.67997 -34.43131 -32.08834 -31.75215 -31.24125 -29.14655 -28.38475 -27.78624 -27.62193 -25.03171 -24.00082 -22.72985 -21.97746 -21.50384 -20.69286 -20.40478 -18.80745 -17.55575 -17.15116 -16.77882 -16.50465 -16.23916 -15.92841 -15.50339 -14.91301 -14.66274 -14.57519 -14.41550 -14.08193 -13.95064 -13.62035 -13.32984 -13.23646 -13.20175 -12.87766 -12.74313 -12.66911 -12.63384 -12.52797 -12.18301 -12.09536 -11.86352 -11.72836 -11.56654 -11.34811 -11.31631 -11.15526 -10.84832 -10.78023 -10.51067 -10.32580 -10.02423 -9.93645 -9.67040 -9.45510 -9.33898 -8.77119 -8.46334 -8.32411 -6.81656 -5.67323 -2.94994 2.45133 2.63729 2.86136 3.10394 3.50997 3.56924 3.59649 3.85747 4.35405 4.47849 4.56813 4.62396 4.63530 4.70891 4.82601 4.85062 4.86751 4.94005 5.02916 5.08691 5.14940 5.15913 5.28452 5.38183 5.40992 5.44812 5.47380 5.50782 5.59261 5.61060 5.67470 5.70198 5.83070 5.91554 5.96584 6.10254 6.13482 6.17886 6.21869 6.31543 6.46753 6.58274 6.72289 6.80489 6.91630 7.07967 7.23577 7.76130 7.82209 8.05325 8.46342 8.52499 9.62921 10.19643 10.55346 11.55896 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.012026 B = 0.002275 C = 0.001984 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2327.777757 B =12306.941764 C =14110.567316 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.137 3.863 3 C -0.165 4.165 4 N -0.733 5.733 5 C 0.513 3.487 6 O -0.509 6.509 7 C 0.037 3.963 8 N -0.506 5.506 9 C 0.015 3.985 10 C 0.044 3.956 11 C 0.525 3.475 12 O -0.504 6.504 13 N -0.616 5.616 14 C 0.100 3.900 15 C -0.134 4.134 16 C -0.121 4.121 17 C 0.132 3.868 18 H 0.076 0.924 19 C 0.147 3.853 20 N -0.728 5.728 21 C -0.230 4.230 22 H 0.070 0.930 23 C -0.017 4.017 24 N -0.936 5.936 25 Si 0.907 3.093 26 H -0.280 1.280 27 H -0.292 1.292 28 H -0.292 1.292 29 H 0.060 0.940 30 H 0.072 0.928 31 H 0.060 0.940 32 H 0.087 0.913 33 H 0.064 0.936 34 H 0.055 0.945 35 H 0.063 0.937 36 H 0.397 0.603 37 H 0.062 0.938 38 H 0.104 0.896 39 H 0.013 0.987 40 H 0.085 0.915 41 H 0.092 0.908 42 H 0.061 0.939 43 H 0.102 0.898 44 H 0.068 0.932 45 H 0.070 0.930 46 H 0.081 0.919 47 H 0.072 0.928 48 H 0.084 0.916 49 H 0.082 0.918 50 H 0.014 0.986 51 H 0.037 0.963 52 H 0.383 0.617 53 H 0.253 0.747 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -32.439 -0.158 4.945 32.814 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 -0.217 4.217 2 C 0.033 3.967 3 C -0.223 4.223 4 N -0.388 5.388 5 C 0.298 3.702 6 O -0.383 6.383 7 C -0.094 4.094 8 N -0.230 5.230 9 C -0.133 4.133 10 C -0.087 4.087 11 C 0.311 3.689 12 O -0.377 6.377 13 N -0.353 5.353 14 C -0.023 4.023 15 C -0.172 4.172 16 C -0.159 4.159 17 C 0.029 3.971 18 H 0.094 0.906 19 C 0.018 3.982 20 N -0.372 5.372 21 C -0.362 4.362 22 H 0.088 0.912 23 C -0.212 4.212 24 N -0.585 5.585 25 Si 0.739 3.261 26 H -0.206 1.206 27 H -0.220 1.220 28 H -0.219 1.219 29 H 0.079 0.921 30 H 0.091 0.909 31 H 0.079 0.921 32 H 0.105 0.895 33 H 0.083 0.917 34 H 0.074 0.926 35 H 0.082 0.918 36 H 0.231 0.769 37 H 0.080 0.920 38 H 0.122 0.878 39 H 0.032 0.968 40 H 0.103 0.897 41 H 0.110 0.890 42 H 0.078 0.922 43 H 0.121 0.879 44 H 0.086 0.914 45 H 0.088 0.912 46 H 0.100 0.900 47 H 0.091 0.909 48 H 0.102 0.898 49 H 0.101 0.899 50 H 0.032 0.968 51 H 0.055 0.945 52 H 0.216 0.784 53 H 0.063 0.937 Dipole moment (debyes) X Y Z Total from point charges -31.369 0.571 3.267 31.544 hybrid contribution -0.014 -0.161 0.646 0.666 sum -31.383 0.410 3.914 31.629 Atomic orbital electron populations 1.22074 0.94213 1.02514 1.02929 1.20911 0.93750 0.93156 0.88917 1.22193 1.02531 0.95651 1.01940 1.46113 1.18004 1.57814 1.16828 1.20526 0.80998 0.78846 0.89835 1.90739 1.55114 1.57824 1.34608 1.21981 0.91092 0.99687 0.96683 1.61253 1.17327 1.36612 1.07839 1.22733 1.04216 0.90787 0.95516 1.21973 0.93141 1.00491 0.93122 1.19950 0.87539 0.77501 0.83861 1.90760 1.74102 1.50377 1.22499 1.48551 1.08942 1.65710 1.12054 1.22304 0.97892 0.98239 0.83890 1.22830 0.95182 0.98420 1.00779 1.22723 0.96599 1.01289 0.95330 1.21791 0.78579 0.98798 0.97927 0.90617 1.20941 0.85883 0.93002 0.98339 1.42208 1.01485 1.10485 1.83058 1.19277 0.89084 0.90348 1.37472 0.91198 1.24720 0.96953 0.96660 1.02889 1.69671 1.13278 1.18965 1.56587 0.86097 0.80922 0.81341 0.77786 1.20569 1.21970 1.21889 0.92097 0.90931 0.92061 0.89466 0.91709 0.92564 0.91769 0.76898 0.91971 0.87785 0.96811 0.89673 0.88973 0.92165 0.87944 0.91374 0.91191 0.90043 0.90884 0.89786 0.89944 0.96827 0.94486 0.78366 0.93691 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 -0.16 -0.65 9.38 37.16 0.35 -0.30 16 2 C 0.14 0.95 3.18 -67.93 -0.22 0.74 16 3 C -0.16 -1.21 9.48 37.16 0.35 -0.86 16 4 N -0.73 -4.99 5.08 -53.80 -0.27 -5.26 16 5 C 0.51 5.36 7.49 -10.99 -0.08 5.27 16 6 O -0.51 -7.86 14.00 5.55 0.08 -7.78 16 7 C 0.04 0.31 5.45 -4.97 -0.03 0.29 16 8 N -0.51 -6.47 4.24 -245.82 -1.04 -7.51 16 9 C 0.01 0.20 8.85 60.06 0.53 0.73 16 10 C 0.04 0.49 4.54 -4.97 -0.02 0.46 16 11 C 0.52 8.39 7.29 -10.99 -0.08 8.31 16 12 O -0.50 -10.63 13.49 5.55 0.07 -10.55 16 13 N -0.62 -9.07 3.06 -163.01 -0.50 -9.57 16 14 C 0.10 1.00 6.65 -2.53 -0.02 0.98 16 15 C -0.13 -1.36 7.09 -24.45 -0.17 -1.53 16 16 C -0.12 -1.77 6.13 -24.76 -0.15 -1.92 16 17 C 0.13 2.35 2.91 -66.95 -0.19 2.16 16 18 H 0.08 1.51 8.14 -51.93 -0.42 1.08 16 19 C 0.15 3.32 5.66 -4.04 -0.02 3.30 16 20 N -0.73 -19.60 5.46 -59.91 -0.33 -19.93 16 21 C -0.23 -6.87 9.99 -15.06 -0.15 -7.02 16 22 H 0.07 2.07 7.83 -52.49 -0.41 1.66 16 23 C -0.02 -0.51 5.50 -17.43 -0.10 -0.60 16 24 N -0.94 -29.22 13.06 55.49 0.72 -28.49 16 25 Si 0.91 23.57 29.55 -169.99 -5.02 18.54 16 26 H -0.28 -7.12 7.11 56.52 0.40 -6.72 16 27 H -0.29 -7.52 7.11 56.52 0.40 -7.12 16 28 H -0.29 -7.62 7.11 56.52 0.40 -7.22 16 29 H 0.06 0.19 8.14 -51.93 -0.42 -0.23 16 30 H 0.07 0.26 8.14 -51.93 -0.42 -0.16 16 31 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 32 H 0.09 0.79 7.58 -51.93 -0.39 0.40 16 33 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 34 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 35 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 36 H 0.40 1.42 8.60 -40.82 -0.35 1.07 16 37 H 0.06 0.37 8.12 -51.93 -0.42 -0.05 16 38 H 0.10 0.64 7.93 -51.93 -0.41 0.23 16 39 H 0.01 0.15 8.14 -51.93 -0.42 -0.27 16 40 H 0.08 1.25 5.83 -51.93 -0.30 0.95 16 41 H 0.09 1.53 5.88 -51.93 -0.31 1.23 16 42 H 0.06 0.51 7.74 -51.93 -0.40 0.11 16 43 H 0.10 0.91 7.93 -51.93 -0.41 0.50 16 44 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 45 H 0.07 0.51 7.51 -51.93 -0.39 0.12 16 46 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 47 H 0.07 0.70 8.14 -51.92 -0.42 0.28 16 48 H 0.08 1.25 8.14 -51.92 -0.42 0.83 16 49 H 0.08 1.28 7.76 -51.93 -0.40 0.88 16 50 H 0.01 0.31 8.02 -51.93 -0.42 -0.10 16 51 H 0.04 0.95 6.88 -51.93 -0.36 0.59 16 52 H 0.38 10.55 7.46 -40.82 -0.30 10.24 16 53 H 0.25 7.62 8.31 -40.82 -0.34 7.28 16 LS Contribution 419.94 15.07 6.33 6.33 Total: -1.00 -38.83 419.94 -9.45 -48.28 By element: Atomic # 1 Polarization: 15.44 SS G_CDS: -9.49 Total: 5.95 kcal Atomic # 6 Polarization: 10.01 SS G_CDS: 0.00 Total: 10.00 kcal Atomic # 7 Polarization: -69.35 SS G_CDS: -1.42 Total: -70.77 kcal Atomic # 8 Polarization: -18.49 SS G_CDS: 0.15 Total: -18.34 kcal Atomic # 14 Polarization: 23.57 SS G_CDS: -5.02 Total: 18.54 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -38.83 -9.45 -48.28 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. ZINC001270234669.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 7.493 kcal (2) G-P(sol) polarization free energy of solvation -38.830 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -31.337 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.452 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -48.281 kcal (6) G-S(sol) free energy of system = (1) + (5) -40.789 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.69 seconds