Wall clock time and date at job start Sat Apr 11 2020 06:13:29 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 1.53004 * 1 3 3 C 1.53005 * 109.46705 * 2 1 4 4 N 1.46494 * 109.46982 * 119.99654 * 2 1 3 5 5 C 1.34784 * 119.99635 * 155.00372 * 4 2 1 6 6 O 1.21279 * 119.99925 * 359.97438 * 5 4 2 7 7 C 1.50700 * 119.99961 * 180.02562 * 5 4 2 8 8 N 1.46895 * 109.47051 * 180.02562 * 7 5 4 9 9 C 1.46895 * 111.00567 * 66.04495 * 8 7 5 10 10 C 1.46902 * 110.99880 * 190.00048 * 8 7 5 11 11 C 1.50700 * 109.47492 * 169.99500 * 10 8 7 12 12 O 1.21286 * 119.99664 * 0.02562 * 11 10 8 13 13 N 1.34775 * 120.00176 * 179.97438 * 11 10 8 14 14 C 1.47023 * 125.64591 * 179.71601 * 13 11 10 15 15 C 1.54337 * 107.26447 * 178.85386 * 14 13 11 16 16 H 1.09003 * 110.51452 * 96.45184 * 15 14 13 17 17 C 1.52993 * 111.00158 * 219.60281 * 15 14 13 18 18 C 1.55158 * 103.01815 * 338.14273 * 15 14 13 19 19 H 1.08999 * 111.03268 * 153.39748 * 18 15 14 20 20 N 1.46495 * 111.00138 * 277.22892 * 18 15 14 21 21 C 1.36936 * 119.99818 * 198.65196 * 20 18 15 22 22 H 1.08007 * 120.00393 * 359.97438 * 21 20 18 23 23 C 1.38811 * 120.00076 * 180.02562 * 21 20 18 24 24 N 1.31624 * 120.00200 * 179.97438 * 23 21 20 25 25 Si 1.86795 * 119.99994 * 0.02562 * 23 21 20 26 26 H 1.48496 * 109.47501 * 89.99959 * 25 23 21 27 27 H 1.48499 * 109.47194 * 210.00006 * 25 23 21 28 28 H 1.48501 * 109.46989 * 329.99704 * 25 23 21 29 29 C 1.47418 * 125.64873 * 0.03481 * 13 11 10 30 30 H 1.08996 * 109.47170 * 300.00241 * 1 2 3 31 31 H 1.09005 * 109.47238 * 60.00512 * 1 2 3 32 32 H 1.09002 * 109.46770 * 179.97438 * 1 2 3 33 33 H 1.08997 * 109.47451 * 240.00485 * 2 1 3 34 34 H 1.09005 * 109.46855 * 299.99723 * 3 2 1 35 35 H 1.08996 * 109.47503 * 59.99963 * 3 2 1 36 36 H 1.08997 * 109.47041 * 180.02562 * 3 2 1 37 37 H 0.96995 * 120.00292 * 335.27805 * 4 2 1 38 38 H 1.09004 * 109.46932 * 300.00223 * 7 5 4 39 39 H 1.08997 * 109.47392 * 59.99562 * 7 5 4 40 40 H 1.09000 * 109.46782 * 59.99875 * 9 8 7 41 41 H 1.08999 * 109.47650 * 180.02562 * 9 8 7 42 42 H 1.08998 * 109.46728 * 300.00478 * 9 8 7 43 43 H 1.09005 * 109.47323 * 289.99879 * 10 8 7 44 44 H 1.09004 * 109.47507 * 49.99516 * 10 8 7 45 45 H 1.08999 * 109.88621 * 298.40082 * 14 13 11 46 46 H 1.09002 * 109.88162 * 59.56863 * 14 13 11 47 47 H 1.09002 * 109.47281 * 173.78372 * 17 15 14 48 48 H 1.09003 * 109.47310 * 293.78016 * 17 15 14 49 49 H 1.08998 * 109.47645 * 53.78162 * 17 15 14 50 50 H 0.96994 * 120.00379 * 18.65651 * 20 18 15 51 51 H 0.96995 * 120.00412 * 180.02562 * 24 23 21 52 52 H 1.09000 * 110.36532 * 322.91808 * 29 13 11 53 53 H 1.08995 * 110.37248 * 85.24718 * 29 13 11 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 2.0400 1.4426 0.0000 4 7 2.0183 -0.6905 1.1962 5 6 3.2404 -1.2590 1.1944 6 8 3.9355 -1.1993 0.2024 7 6 3.7425 -1.9699 2.4247 8 7 5.0895 -2.4977 2.1697 9 6 6.0547 -1.4071 1.9778 10 6 5.5169 -3.3947 3.2517 11 6 6.7830 -4.1040 2.8457 12 8 7.2807 -3.8835 1.7618 13 7 7.3630 -4.9824 3.6873 14 6 8.5907 -5.7449 3.4176 15 6 8.8871 -6.5946 4.6715 16 1 8.4990 -7.6057 4.5483 17 6 10.3871 -6.6254 4.9710 18 6 8.1188 -5.8444 5.7915 19 1 7.8391 -6.5239 6.5966 20 7 8.9057 -4.7209 6.3060 21 6 8.6017 -4.1729 7.5236 22 1 7.7817 -4.5687 8.1045 23 6 9.3469 -3.1080 8.0109 24 7 9.0545 -2.5809 9.1810 25 14 10.7639 -2.4220 7.0055 26 1 10.2635 -1.3426 6.1170 27 1 11.7980 -1.8720 7.9184 28 1 11.3568 -3.5061 6.1818 29 6 6.8677 -5.3428 5.0282 30 1 -0.3633 0.5138 0.8899 31 1 -0.3634 0.5138 -0.8901 32 1 -0.3633 -1.0277 -0.0005 33 1 1.8934 -0.5137 -0.8900 34 1 1.6766 1.9564 -0.8901 35 1 1.6766 1.9564 0.8899 36 1 3.1299 1.4426 -0.0005 37 1 1.4606 -0.7420 1.9881 38 1 3.7790 -1.2698 3.2594 39 1 3.0700 -2.7920 2.6692 40 1 6.0860 -0.7877 2.8742 41 1 7.0435 -1.8258 1.7904 42 1 5.7508 -0.7986 1.1261 43 1 5.7000 -2.8129 4.1551 44 1 4.7350 -4.1292 3.4450 45 1 8.4421 -6.3937 2.5544 46 1 9.4186 -5.0608 3.2315 47 1 10.5580 -7.1367 5.9183 48 1 10.9062 -7.1561 4.1728 49 1 10.7658 -5.6053 5.0352 50 1 9.6419 -4.3651 5.7843 51 1 9.5750 -1.8365 9.5214 52 1 6.4459 -4.4687 5.5244 53 1 6.1233 -6.1358 4.9573 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 ZINC001281406625.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 06:13:29 Heat of formation + Delta-G solvation = -39.287131 kcal Electronic energy + Delta-G solvation = -30786.355352 eV Core-core repulsion = 26693.982226 eV Total energy + Delta-G solvation = -4092.373125 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -40.25413 -39.76061 -38.01637 -36.63834 -35.62154 -33.98889 -32.52264 -31.99291 -30.90472 -29.00265 -28.18646 -27.83010 -27.59106 -25.93052 -23.78003 -23.30991 -21.88462 -21.30366 -20.57593 -19.43900 -18.94080 -17.90733 -17.31457 -16.89804 -16.26471 -16.19634 -15.78221 -15.36087 -14.93286 -14.84245 -14.46242 -14.30048 -14.09292 -14.04902 -13.72082 -13.29897 -13.21721 -12.96205 -12.83469 -12.70160 -12.64933 -12.50781 -12.32871 -12.07146 -11.97598 -11.77590 -11.75033 -11.57518 -11.47515 -11.30569 -11.29456 -11.05355 -10.81820 -10.59007 -10.32767 -10.07614 -9.94433 -9.65675 -9.40753 -9.31375 -9.10230 -8.33076 -8.25446 -7.37406 -5.88483 -3.24688 2.53341 2.74406 2.95621 3.26010 3.30364 3.34727 3.40275 4.03646 4.42402 4.49739 4.63324 4.64918 4.71144 4.88194 4.95615 5.02588 5.04524 5.09763 5.11860 5.19335 5.29247 5.31424 5.32477 5.38207 5.40758 5.48652 5.55720 5.63555 5.69029 5.73003 5.76261 5.77209 5.86993 5.91631 5.99738 6.04117 6.18487 6.21196 6.24774 6.35823 6.41129 6.50242 6.62403 6.69202 6.86132 6.93372 7.32003 7.86420 7.87463 8.12779 8.30733 8.52953 9.08475 9.81367 10.00430 11.29210 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.013698 B = 0.002558 C = 0.002349 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2043.581757 B =10942.753864 C =11918.285730 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 -0.164 4.164 4 N -0.733 5.733 5 C 0.515 3.485 6 O -0.514 6.514 7 C 0.035 3.965 8 N -0.506 5.506 9 C 0.014 3.986 10 C 0.041 3.959 11 C 0.530 3.470 12 O -0.532 6.532 13 N -0.608 5.608 14 C 0.117 3.883 15 C -0.115 4.115 16 H 0.084 0.916 17 C -0.134 4.134 18 C 0.177 3.823 19 H 0.079 0.921 20 N -0.735 5.735 21 C -0.249 4.249 22 H 0.093 0.907 23 C 0.011 3.989 24 N -0.930 5.930 25 Si 0.879 3.121 26 H -0.285 1.285 27 H -0.290 1.290 28 H -0.276 1.276 29 C 0.068 3.932 30 H 0.060 0.940 31 H 0.071 0.929 32 H 0.061 0.939 33 H 0.087 0.913 34 H 0.064 0.936 35 H 0.056 0.944 36 H 0.061 0.939 37 H 0.398 0.602 38 H 0.066 0.934 39 H 0.104 0.896 40 H 0.017 0.983 41 H 0.088 0.912 42 H 0.084 0.916 43 H 0.071 0.929 44 H 0.102 0.898 45 H 0.061 0.939 46 H 0.062 0.938 47 H 0.064 0.936 48 H 0.048 0.952 49 H 0.059 0.941 50 H 0.364 0.636 51 H 0.260 0.740 52 H 0.083 0.917 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.818 -0.391 -13.404 20.738 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 -0.218 4.218 2 C 0.033 3.967 3 C -0.222 4.222 4 N -0.388 5.388 5 C 0.301 3.699 6 O -0.388 6.388 7 C -0.097 4.097 8 N -0.231 5.231 9 C -0.133 4.133 10 C -0.090 4.090 11 C 0.318 3.682 12 O -0.409 6.409 13 N -0.343 5.343 14 C -0.006 4.006 15 C -0.135 4.135 16 H 0.103 0.897 17 C -0.192 4.192 18 C 0.066 3.934 19 H 0.097 0.903 20 N -0.377 5.377 21 C -0.378 4.378 22 H 0.110 0.890 23 C -0.186 4.186 24 N -0.577 5.577 25 Si 0.709 3.291 26 H -0.211 1.211 27 H -0.216 1.216 28 H -0.202 1.202 29 C -0.058 4.058 30 H 0.079 0.921 31 H 0.090 0.910 32 H 0.080 0.920 33 H 0.105 0.895 34 H 0.083 0.917 35 H 0.075 0.925 36 H 0.080 0.920 37 H 0.232 0.768 38 H 0.084 0.916 39 H 0.122 0.878 40 H 0.036 0.964 41 H 0.107 0.893 42 H 0.103 0.897 43 H 0.088 0.912 44 H 0.120 0.880 45 H 0.079 0.921 46 H 0.081 0.919 47 H 0.083 0.917 48 H 0.067 0.933 49 H 0.078 0.922 50 H 0.198 0.802 51 H 0.071 0.929 52 H 0.101 0.899 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges -15.156 -0.365 -14.967 21.304 hybrid contribution 0.659 1.126 0.684 1.474 sum -14.497 0.762 -14.283 20.365 Atomic orbital electron populations 1.22075 0.94187 1.02619 1.02883 1.20901 0.93828 0.92999 0.89020 1.22191 1.02270 0.95823 1.01962 1.46117 1.18080 1.57648 1.16909 1.20547 0.81180 0.78299 0.89875 1.90703 1.55464 1.58057 1.34577 1.22000 0.92865 0.99792 0.95015 1.61330 1.00633 1.19293 1.41798 1.22716 0.97662 0.92549 1.00409 1.21956 0.96488 0.97088 0.93482 1.19949 0.85453 0.78977 0.83808 1.90665 1.64769 1.63472 1.21968 1.48370 1.26443 1.41951 1.17526 1.21920 0.87166 0.94089 0.97384 1.22526 0.97353 0.98786 0.94855 0.89718 1.21636 0.93881 1.02453 1.01244 1.21315 0.89343 0.89672 0.93097 0.90297 1.42732 1.36697 1.37234 1.21071 1.19034 1.13838 1.11450 0.93490 0.88968 1.24637 0.98962 0.98435 0.96556 1.69687 1.42283 1.27076 1.18623 0.86661 0.83393 0.79272 0.79777 1.21115 1.21608 1.20228 1.23365 0.99267 1.00684 0.82435 0.92064 0.90999 0.91952 0.89460 0.91732 0.92523 0.92024 0.76772 0.91632 0.87781 0.96428 0.89349 0.89738 0.91160 0.88040 0.92068 0.91942 0.91713 0.93281 0.92184 0.80155 0.92947 0.89907 0.92197 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 -0.16 -0.79 9.38 37.16 0.35 -0.44 16 2 C 0.14 1.05 3.18 -67.93 -0.22 0.84 16 3 C -0.16 -1.26 9.48 37.16 0.35 -0.91 16 4 N -0.73 -5.86 5.08 -53.80 -0.27 -6.14 16 5 C 0.52 6.02 7.52 -10.98 -0.08 5.94 16 6 O -0.51 -8.27 13.98 5.56 0.08 -8.20 16 7 C 0.03 0.37 5.45 -4.98 -0.03 0.34 16 8 N -0.51 -7.42 4.24 -245.83 -1.04 -8.46 16 9 C 0.01 0.22 8.85 60.06 0.53 0.76 16 10 C 0.04 0.57 4.45 -4.97 -0.02 0.55 16 11 C 0.53 9.22 7.54 -10.99 -0.08 9.13 16 12 O -0.53 -11.00 14.66 5.55 0.08 -10.92 16 13 N -0.61 -9.91 3.33 -170.52 -0.57 -10.47 16 14 C 0.12 1.82 6.47 -3.06 -0.02 1.80 16 15 C -0.12 -1.63 3.40 -88.78 -0.30 -1.93 16 16 H 0.08 1.00 8.14 -51.93 -0.42 0.57 16 17 C -0.13 -1.93 8.73 37.15 0.32 -1.61 16 18 C 0.18 2.97 3.44 -65.78 -0.23 2.75 16 19 H 0.08 1.29 8.13 -51.93 -0.42 0.87 16 20 N -0.73 -15.80 4.54 -51.35 -0.23 -16.04 16 21 C -0.25 -6.44 10.47 -15.06 -0.16 -6.59 16 22 H 0.09 2.53 8.06 -52.48 -0.42 2.10 16 23 C 0.01 0.29 5.50 -17.43 -0.10 0.20 16 24 N -0.93 -27.94 13.97 55.49 0.78 -27.16 16 25 Si 0.88 21.67 27.74 -169.99 -4.71 16.96 16 26 H -0.28 -7.15 7.11 56.52 0.40 -6.75 16 27 H -0.29 -7.27 7.11 56.52 0.40 -6.87 16 28 H -0.28 -6.41 6.52 56.52 0.37 -6.04 16 29 C 0.07 1.03 6.38 -2.53 -0.02 1.02 16 30 H 0.06 0.25 8.14 -51.93 -0.42 -0.18 16 31 H 0.07 0.30 8.14 -51.93 -0.42 -0.12 16 32 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 33 H 0.09 0.85 7.58 -51.93 -0.39 0.46 16 34 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 35 H 0.06 0.38 8.14 -51.93 -0.42 -0.04 16 36 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 37 H 0.40 2.02 8.60 -40.82 -0.35 1.67 16 38 H 0.07 0.60 8.12 -51.93 -0.42 0.17 16 39 H 0.10 0.83 7.93 -51.93 -0.41 0.42 16 40 H 0.02 0.26 8.14 -51.93 -0.42 -0.16 16 41 H 0.09 1.64 5.82 -51.93 -0.30 1.33 16 42 H 0.08 1.40 5.88 -51.93 -0.31 1.09 16 43 H 0.07 0.99 7.83 -51.93 -0.41 0.58 16 44 H 0.10 1.14 7.93 -51.93 -0.41 0.73 16 45 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 46 H 0.06 1.07 7.78 -51.93 -0.40 0.66 16 47 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 48 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 49 H 0.06 1.01 6.37 -51.93 -0.33 0.68 16 50 H 0.36 8.08 3.95 -40.82 -0.16 7.92 16 51 H 0.26 7.53 8.31 -40.82 -0.34 7.19 16 52 H 0.08 1.36 7.48 -51.93 -0.39 0.97 16 53 H 0.06 0.74 8.14 -51.93 -0.42 0.32 16 LS Contribution 415.99 15.07 6.27 6.27 Total: -1.00 -34.83 415.99 -8.69 -43.52 By element: Atomic # 1 Polarization: 18.18 SS G_CDS: -9.38 Total: 8.80 kcal Atomic # 6 Polarization: 11.52 SS G_CDS: 0.31 Total: 11.83 kcal Atomic # 7 Polarization: -66.93 SS G_CDS: -1.34 Total: -68.27 kcal Atomic # 8 Polarization: -19.27 SS G_CDS: 0.16 Total: -19.12 kcal Atomic # 14 Polarization: 21.67 SS G_CDS: -4.71 Total: 16.96 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -34.83 -8.69 -43.52 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. ZINC001281406625.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 4.238 kcal (2) G-P(sol) polarization free energy of solvation -34.831 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -30.593 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.694 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.525 kcal (6) G-S(sol) free energy of system = (1) + (5) -39.287 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.90 seconds