Wall clock time and date at job start Sat Apr 11 2020 06:10:32 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 1.52997 * 1 3 3 H 1.09001 * 109.51159 * 2 1 4 4 C 1.53282 * 109.51622 * 120.10603 * 2 1 3 5 5 N 1.47160 * 108.53823 * 172.85310 * 4 2 1 6 6 C 1.34768 * 121.06443 * 128.87320 * 5 4 2 7 7 O 1.21285 * 120.00172 * 179.97438 * 6 5 4 8 8 C 1.50706 * 120.00010 * 0.02562 * 6 5 4 9 9 O 1.42899 * 109.47125 * 179.97438 * 8 6 5 10 10 C 1.42901 * 114.00267 * 179.97438 * 9 8 6 11 11 C 1.53006 * 109.46819 * 59.99697 * 10 9 8 12 12 C 1.52999 * 109.47546 * 179.97438 * 10 9 8 13 13 C 1.52997 * 109.46878 * 300.00230 * 10 9 8 14 14 C 1.47309 * 117.87429 * 308.85496 * 5 4 2 15 15 C 1.52516 * 108.41692 * 49.36292 * 14 5 4 16 16 C 1.54508 * 110.06862 * 72.18266 * 15 14 5 17 17 C 1.55026 * 101.53066 * 153.08786 * 16 15 14 18 18 N 1.47481 * 104.89611 * 323.62527 * 17 16 15 19 19 C 1.36939 * 125.65938 * 204.00168 * 18 17 16 20 20 H 1.08008 * 119.99774 * 179.97438 * 19 18 17 21 21 C 1.38811 * 120.00309 * 0.02562 * 19 18 17 22 22 N 1.31623 * 119.99835 * 359.97438 * 21 19 18 23 23 Si 1.86799 * 119.99932 * 179.97438 * 21 19 18 24 24 H 1.48497 * 109.47260 * 89.99982 * 23 21 19 25 25 H 1.48505 * 109.46868 * 210.00183 * 23 21 19 26 26 H 1.48499 * 109.47084 * 329.99409 * 23 21 19 27 27 C 1.47188 * 108.67565 * 24.00842 * 18 17 16 28 28 O 1.42060 * 111.12455 * 309.63931 * 15 14 5 29 29 H 1.09002 * 109.47153 * 299.89434 * 1 2 3 30 30 H 1.09001 * 109.46832 * 179.89624 * 1 2 3 31 31 H 1.09004 * 109.47261 * 59.89606 * 1 2 3 32 32 H 1.09008 * 109.62571 * 292.56525 * 4 2 1 33 33 H 1.08996 * 109.62749 * 52.94648 * 4 2 1 34 34 H 1.08999 * 109.46823 * 300.00116 * 8 6 5 35 35 H 1.09000 * 109.46694 * 59.99930 * 8 6 5 36 36 H 1.08999 * 109.47040 * 60.00264 * 11 10 9 37 37 H 1.08994 * 109.47282 * 180.02562 * 11 10 9 38 38 H 1.08998 * 109.47012 * 300.00394 * 11 10 9 39 39 H 1.08998 * 109.46791 * 60.00160 * 12 10 9 40 40 H 1.08994 * 109.47032 * 180.02562 * 12 10 9 41 41 H 1.08999 * 109.46933 * 300.00116 * 12 10 9 42 42 H 1.08999 * 109.47346 * 60.00109 * 13 10 9 43 43 H 1.09004 * 109.46976 * 179.97438 * 13 10 9 44 44 H 1.08998 * 109.47338 * 299.99766 * 13 10 9 45 45 H 1.09000 * 109.67223 * 169.08964 * 14 5 4 46 46 H 1.08992 * 109.67454 * 289.62600 * 14 5 4 47 47 H 1.08997 * 111.01770 * 271.15126 * 16 15 14 48 48 H 1.09004 * 111.01199 * 35.02872 * 16 15 14 49 49 H 1.09000 * 110.35532 * 204.76785 * 17 16 15 50 50 H 1.08999 * 110.44370 * 82.52734 * 17 16 15 51 51 H 0.96994 * 119.99560 * 180.02562 * 22 21 19 52 52 H 1.09000 * 109.90228 * 239.13813 * 27 18 17 53 53 H 1.08996 * 109.90808 * 117.87403 * 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 1.8940 1.0274 0.0000 4 6 2.0420 -0.7247 1.2499 5 7 3.5032 -0.8641 1.1442 6 6 4.3131 -0.4780 2.1498 7 8 5.5148 -0.6021 2.0423 8 6 3.7256 0.1069 3.4083 9 8 4.7780 0.4349 4.3176 10 6 4.3264 1.0003 5.5498 11 6 3.4087 0.0044 6.2618 12 6 5.5311 1.3100 6.4408 13 6 3.5558 2.2913 5.2664 14 6 4.0523 -1.4395 -0.0957 15 6 3.4233 -0.7165 -1.2822 16 6 3.9928 0.7155 -1.3930 17 6 3.8329 0.9962 -2.9092 18 7 4.1087 -0.2956 -3.5651 19 6 4.5378 -0.4605 -4.8550 20 1 4.7124 -1.4531 -5.2434 21 6 4.7494 0.6481 -5.6632 22 7 4.5371 1.8578 -5.1898 23 14 5.3355 0.4231 -7.4226 24 1 4.1614 0.3003 -8.3235 25 1 6.1493 1.5976 -7.8272 26 1 6.1617 -0.8073 -7.5155 27 6 3.8460 -1.3782 -2.6031 28 8 2.0080 -0.6775 -1.1663 29 1 -0.3633 0.5122 0.8909 30 1 -0.3633 -1.0277 -0.0019 31 1 -0.3634 0.5155 -0.8891 32 1 1.7930 -0.1436 2.1379 33 1 1.5813 -1.7102 1.3162 34 1 3.1635 1.0077 3.1623 35 1 3.0600 -0.6217 3.8712 36 1 3.9577 -0.9154 6.4637 37 1 3.0639 0.4357 7.2015 38 1 2.5505 -0.2166 5.6273 39 1 6.1852 2.0193 5.9337 40 1 5.1865 1.7408 7.3808 41 1 6.0797 0.3900 6.6426 42 1 2.6975 2.0703 4.6320 43 1 3.2109 2.7223 6.2064 44 1 4.2095 3.0008 4.7592 45 1 5.1338 -1.3048 -0.1153 46 1 3.8133 -2.5018 -0.1446 47 1 3.4046 1.4170 -0.8015 48 1 5.0422 0.7427 -1.0991 49 1 4.5528 1.7476 -3.2338 50 1 2.8174 1.3246 -3.1306 51 1 4.6846 2.6323 -5.7547 52 1 4.7507 -1.9667 -2.4506 53 1 3.0430 -2.0161 -2.9723 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 ZINC001131648931.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 06:10:32 Heat of formation + Delta-G solvation = -86.529479 kcal Electronic energy + Delta-G solvation = -32010.176195 eV Core-core repulsion = 27883.461737 eV Total energy + Delta-G solvation = -4126.714458 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -40.71706 -39.49731 -38.31106 -36.37993 -34.65560 -33.75456 -33.11031 -31.35936 -29.79414 -28.94271 -28.16266 -27.79657 -27.21139 -26.55991 -25.18919 -23.51630 -21.98856 -20.45369 -20.15848 -19.74616 -18.97425 -17.56707 -17.04938 -16.84089 -16.32594 -16.15649 -16.01539 -15.10511 -14.89182 -14.76190 -14.39346 -14.30137 -14.17269 -13.76278 -13.54540 -13.37053 -13.14250 -12.89056 -12.57449 -12.55329 -12.38405 -12.34161 -12.29665 -12.17080 -12.08856 -12.00891 -11.68722 -11.60311 -11.55474 -11.04222 -10.94871 -10.91591 -10.85643 -10.49642 -10.25563 -10.05826 -10.01068 -9.89627 -9.66006 -9.58645 -9.48844 -8.61844 -8.38809 -6.80995 -5.61758 -3.03493 2.50342 2.56759 3.43232 3.47661 3.50004 3.53655 3.79516 4.29023 4.45985 4.49716 4.54345 4.61062 4.64397 4.70824 4.83762 4.91249 5.01294 5.10621 5.11743 5.14441 5.19005 5.29845 5.34005 5.36703 5.44990 5.48435 5.48866 5.50380 5.51729 5.56878 5.65724 5.74235 5.84424 5.89222 5.91344 5.92082 5.95686 6.10211 6.22982 6.31970 6.53251 6.54584 6.60819 6.69554 6.87691 7.29021 7.55196 7.62038 7.66379 7.88376 8.12015 8.38080 9.24624 9.85050 10.49938 11.42335 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017849 B = 0.002702 C = 0.002556 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1568.380664 B =10359.707465 C =10950.802166 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.068 3.932 3 H 0.067 0.933 4 C 0.078 3.922 5 N -0.611 5.611 6 C 0.517 3.483 7 O -0.516 6.516 8 C 0.042 3.958 9 O -0.350 6.350 10 C 0.104 3.896 11 C -0.180 4.180 12 C -0.137 4.137 13 C -0.181 4.181 14 C 0.101 3.899 15 C 0.095 3.905 16 C -0.165 4.165 17 C 0.160 3.840 18 N -0.602 5.602 19 C -0.220 4.220 20 H 0.079 0.921 21 C -0.012 4.012 22 N -0.922 5.922 23 Si 0.916 3.084 24 H -0.289 1.289 25 H -0.291 1.291 26 H -0.281 1.281 27 C 0.154 3.846 28 O -0.351 6.351 29 H 0.068 0.932 30 H 0.064 0.936 31 H 0.070 0.930 32 H 0.086 0.914 33 H 0.079 0.921 34 H 0.080 0.920 35 H 0.079 0.921 36 H 0.066 0.934 37 H 0.068 0.932 38 H 0.058 0.942 39 H 0.066 0.934 40 H 0.071 0.929 41 H 0.065 0.935 42 H 0.059 0.941 43 H 0.068 0.932 44 H 0.068 0.932 45 H 0.104 0.896 46 H 0.073 0.927 47 H 0.059 0.941 48 H 0.069 0.931 49 H 0.105 0.895 50 H 0.014 0.986 51 H 0.252 0.748 52 H 0.040 0.960 53 H 0.037 0.963 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.168 -1.845 24.204 25.611 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 -0.199 4.199 2 C 0.009 3.991 3 H 0.085 0.915 4 C -0.046 4.046 5 N -0.347 5.347 6 C 0.304 3.696 7 O -0.390 6.390 8 C -0.037 4.037 9 O -0.268 6.268 10 C 0.064 3.936 11 C -0.237 4.237 12 C -0.194 4.194 13 C -0.238 4.238 14 C -0.022 4.022 15 C 0.055 3.945 16 C -0.204 4.204 17 C 0.036 3.964 18 N -0.328 5.328 19 C -0.349 4.349 20 H 0.096 0.904 21 C -0.207 4.207 22 N -0.571 5.571 23 Si 0.746 3.254 24 H -0.217 1.217 25 H -0.217 1.217 26 H -0.207 1.207 27 C 0.028 3.972 28 O -0.270 6.270 29 H 0.087 0.913 30 H 0.083 0.917 31 H 0.089 0.911 32 H 0.104 0.896 33 H 0.098 0.902 34 H 0.098 0.902 35 H 0.097 0.903 36 H 0.085 0.915 37 H 0.087 0.913 38 H 0.077 0.923 39 H 0.085 0.915 40 H 0.090 0.910 41 H 0.084 0.916 42 H 0.078 0.922 43 H 0.087 0.913 44 H 0.087 0.913 45 H 0.122 0.878 46 H 0.091 0.909 47 H 0.078 0.922 48 H 0.087 0.913 49 H 0.123 0.877 50 H 0.032 0.968 51 H 0.062 0.938 52 H 0.058 0.942 53 H 0.055 0.945 Dipole moment (debyes) X Y Z Total from point charges -7.347 -1.900 23.802 24.983 hybrid contribution -0.142 0.079 -0.625 0.646 sum -7.489 -1.821 23.177 24.425 Atomic orbital electron populations 1.21703 0.92414 1.03042 1.02756 1.22453 0.95281 0.96175 0.85179 0.91472 1.22530 0.80313 1.02059 0.99667 1.48096 1.06561 1.63247 1.16812 1.20181 0.86962 0.78400 0.84086 1.90737 1.14373 1.53606 1.80275 1.22234 0.91420 1.00253 0.89834 1.88120 1.30359 1.82094 1.26274 1.21606 0.95135 0.92211 0.84610 1.22457 0.99904 1.00245 1.01115 1.21739 0.96837 1.02709 0.98122 1.22461 1.00785 0.97943 1.02627 1.22205 1.00819 0.97131 0.82016 1.22299 0.80622 0.96854 0.94745 1.23504 1.00239 0.94845 1.01774 1.21881 0.99918 0.90036 0.84593 1.44500 1.78364 1.00413 1.09515 1.19073 1.36682 0.93091 0.86015 0.90357 1.24790 1.02037 0.95234 0.98650 1.69807 1.55309 0.97031 1.34949 0.86049 0.78170 0.76929 0.84208 1.21661 1.21691 1.20664 1.21056 0.97343 0.92043 0.86800 1.87916 1.20624 1.76598 1.41853 0.91265 0.91679 0.91055 0.89598 0.90248 0.90198 0.90312 0.91503 0.91267 0.92255 0.91525 0.91034 0.91638 0.92225 0.91265 0.91335 0.87795 0.90907 0.92231 0.91282 0.87685 0.96794 0.93769 0.94241 0.94510 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 -0.14 -1.38 9.57 37.16 0.36 -1.03 16 2 C 0.07 0.86 3.18 -26.59 -0.08 0.78 16 3 H 0.07 0.91 6.14 -51.93 -0.32 0.59 16 4 C 0.08 0.81 5.82 -3.54 -0.02 0.79 16 5 N -0.61 -8.40 2.92 -172.62 -0.50 -8.90 16 6 C 0.52 7.66 7.79 -10.99 -0.09 7.58 16 7 O -0.52 -9.96 15.99 -14.36 -0.23 -10.19 16 8 C 0.04 0.46 3.99 36.01 0.14 0.60 16 9 O -0.35 -4.39 9.52 -55.14 -0.52 -4.91 16 10 C 0.10 0.89 1.14 -90.62 -0.10 0.79 16 11 C -0.18 -1.19 8.25 37.16 0.31 -0.89 16 12 C -0.14 -1.06 8.84 37.16 0.33 -0.73 16 13 C -0.18 -1.29 8.25 37.16 0.31 -0.99 16 14 C 0.10 1.61 5.17 -3.85 -0.02 1.59 16 15 C 0.10 1.75 0.83 -89.73 -0.07 1.68 16 16 C -0.16 -3.34 5.91 -24.87 -0.15 -3.49 16 17 C 0.16 4.05 5.89 -2.43 -0.01 4.04 16 18 N -0.60 -15.87 3.40 -170.23 -0.58 -16.44 16 19 C -0.22 -6.26 10.28 -15.06 -0.15 -6.42 16 20 H 0.08 2.13 7.83 -52.48 -0.41 1.72 16 21 C -0.01 -0.34 5.49 -17.43 -0.10 -0.43 16 22 N -0.92 -27.40 10.09 55.49 0.56 -26.84 16 23 Si 0.92 22.44 29.55 -169.99 -5.02 17.42 16 24 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 25 H -0.29 -7.16 7.11 56.52 0.40 -6.76 16 26 H -0.28 -6.70 7.11 56.52 0.40 -6.30 16 27 C 0.15 3.33 6.61 -3.32 -0.02 3.31 16 28 O -0.35 -6.08 9.86 -35.23 -0.35 -6.43 16 29 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 30 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 31 H 0.07 0.79 8.14 -51.93 -0.42 0.37 16 32 H 0.09 0.62 6.05 -51.92 -0.31 0.30 16 33 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 34 H 0.08 0.71 5.94 -51.93 -0.31 0.41 16 35 H 0.08 0.65 6.28 -51.93 -0.33 0.32 16 36 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 37 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 38 H 0.06 0.35 6.54 -51.93 -0.34 0.01 16 39 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 40 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 41 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 42 H 0.06 0.38 6.54 -51.93 -0.34 0.05 16 43 H 0.07 0.38 8.14 -51.93 -0.42 -0.05 16 44 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 45 H 0.10 1.85 6.89 -51.93 -0.36 1.49 16 46 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 47 H 0.06 1.10 5.99 -51.93 -0.31 0.79 16 48 H 0.07 1.45 7.86 -51.93 -0.41 1.05 16 49 H 0.11 2.98 5.88 -51.93 -0.31 2.67 16 50 H 0.01 0.38 8.14 -51.93 -0.42 -0.04 16 51 H 0.25 7.24 8.31 -40.82 -0.34 6.90 16 52 H 0.04 0.82 7.79 -51.93 -0.40 0.42 16 53 H 0.04 0.81 8.06 -51.93 -0.42 0.39 16 LS Contribution 401.61 15.07 6.05 6.05 Total: -1.00 -34.74 401.61 -9.17 -43.91 By element: Atomic # 1 Polarization: 8.37 SS G_CDS: -9.19 Total: -0.82 kcal Atomic # 6 Polarization: 6.55 SS G_CDS: 0.62 Total: 7.17 kcal Atomic # 7 Polarization: -51.67 SS G_CDS: -0.52 Total: -52.19 kcal Atomic # 8 Polarization: -20.43 SS G_CDS: -1.10 Total: -21.54 kcal Atomic # 14 Polarization: 22.44 SS G_CDS: -5.02 Total: 17.42 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -34.74 -9.17 -43.91 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. ZINC001131648931.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 -42.620 kcal (2) G-P(sol) polarization free energy of solvation -34.738 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -77.358 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.171 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.909 kcal (6) G-S(sol) free energy of system = (1) + (5) -86.529 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds