Wall clock time and date at job start Tue Mar 31 2020 16:08:18 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 1.53001 * 1 3 3 C 1.52994 * 109.47070 * 2 1 4 4 H 1.09001 * 109.47410 * 184.46219 * 3 2 1 5 5 C 1.50701 * 109.47393 * 304.45928 * 3 2 1 6 6 H 1.07998 * 119.99991 * 115.14596 * 5 3 2 7 7 C 1.37876 * 120.00021 * 295.15451 * 5 3 2 8 8 N 1.31514 * 120.00104 * 352.96189 * 7 5 3 9 9 Si 1.86799 * 120.00103 * 172.97130 * 7 5 3 10 10 H 1.48502 * 109.47198 * 179.97438 * 9 7 5 11 11 H 1.48495 * 109.47050 * 299.99434 * 9 7 5 12 12 H 1.48497 * 109.47414 * 59.99648 * 9 7 5 13 13 N 1.46897 * 109.47301 * 64.45943 * 3 2 1 14 14 C 1.46899 * 110.99929 * 85.30098 * 13 3 2 15 15 C 1.50699 * 109.47214 * 185.03781 * 14 13 3 16 16 C 1.38254 * 120.00386 * 89.99906 * 15 14 13 17 17 C 1.38213 * 120.00320 * 179.97438 * 16 15 14 18 18 C 1.38263 * 119.99837 * 359.97438 * 17 16 15 19 19 C 1.38209 * 119.99775 * 0.02562 * 18 17 16 20 20 C 1.50707 * 119.99889 * 179.97438 * 19 18 17 21 21 N 1.46902 * 109.47113 * 89.99817 * 20 19 18 22 22 C 1.46962 * 110.99840 * 293.80351 * 21 20 19 23 23 C 1.53048 * 109.36075 * 176.81335 * 22 21 20 24 24 N 1.46959 * 109.36517 * 58.40049 * 23 22 21 25 25 C 1.46902 * 110.99820 * 176.81061 * 24 23 22 26 26 C 1.46957 * 110.87949 * 300.67211 * 24 23 22 27 27 C 1.46959 * 110.99820 * 170.00366 * 21 20 19 28 28 C 1.38219 * 119.99836 * 269.72824 * 15 14 13 29 29 H 1.09004 * 109.47114 * 305.53570 * 1 2 3 30 30 H 1.08997 * 109.47208 * 65.53992 * 1 2 3 31 31 H 1.09001 * 109.46937 * 185.53911 * 1 2 3 32 32 H 1.09009 * 109.47037 * 240.00466 * 2 1 3 33 33 H 1.08992 * 109.47619 * 120.00340 * 2 1 3 34 34 H 0.96996 * 120.00039 * 356.31660 * 8 7 5 35 35 H 1.00905 * 111.00328 * 209.25517 * 13 3 2 36 36 H 1.09003 * 109.47374 * 305.03471 * 14 13 3 37 37 H 1.08998 * 109.47277 * 65.03674 * 14 13 3 38 38 H 1.08000 * 120.00192 * 0.02562 * 16 15 14 39 39 H 1.07998 * 120.00242 * 180.02562 * 17 16 15 40 40 H 1.07997 * 119.99863 * 179.97438 * 18 17 16 41 41 H 1.08992 * 109.47023 * 210.00016 * 20 19 18 42 42 H 1.09001 * 109.46409 * 329.99979 * 20 19 18 43 43 H 1.09007 * 109.48650 * 296.77361 * 22 21 20 44 44 H 1.08993 * 109.48866 * 56.84363 * 22 21 20 45 45 H 1.09000 * 109.49115 * 298.43175 * 23 22 21 46 46 H 1.08997 * 109.49003 * 178.36481 * 23 22 21 47 47 H 1.09006 * 109.47171 * 183.79444 * 25 24 23 48 48 H 1.08997 * 109.47632 * 303.79644 * 25 24 23 49 49 H 1.08999 * 109.47402 * 63.79642 * 25 24 23 50 50 H 1.08998 * 109.49150 * 299.35922 * 26 24 23 51 51 H 1.08998 * 109.50272 * 179.29635 * 26 24 23 52 52 H 1.08997 * 109.48568 * 303.15637 * 27 21 20 53 53 H 1.09000 * 109.48874 * 63.21916 * 27 21 20 54 54 H 1.07994 * 120.00037 * 359.97438 * 28 15 14 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 1.4424 0.0000 4 1 3.1270 1.4436 -0.0800 5 6 1.4495 2.1841 -1.1715 6 1 0.7753 3.0108 -1.0030 7 6 1.7698 1.8071 -2.4584 8 7 2.6939 0.8945 -2.6656 9 14 0.8914 2.5926 -3.9078 10 1 1.4148 2.0192 -5.1738 11 1 -0.5657 2.3248 -3.8078 12 1 1.1274 4.0587 -3.8943 13 7 1.6402 2.1032 1.2496 14 6 2.6092 1.8344 2.3205 15 6 2.1050 2.4223 3.6133 16 6 1.3133 1.6637 4.4554 17 6 0.8513 2.2027 5.6413 18 6 1.1815 3.5004 5.9858 19 6 1.9730 4.2587 5.1439 20 6 2.3324 5.6734 5.5191 21 7 3.5820 5.6727 6.2915 22 6 3.3991 5.0061 7.5884 23 6 4.7389 4.9561 8.3266 24 7 5.2470 6.3232 8.5073 25 6 6.4965 6.3225 9.2797 26 6 5.4299 6.9897 7.2104 27 6 4.0901 7.0398 6.4722 28 6 2.4388 3.7180 3.9598 29 1 -0.3633 0.5973 0.8363 30 1 -0.3633 0.4255 -0.9354 31 1 -0.3633 -1.0229 0.0992 32 1 1.8934 -0.5138 -0.8901 33 1 1.8934 -0.5138 0.8899 34 1 3.1875 0.5254 -1.9167 35 1 1.5198 3.0955 1.1116 36 1 2.7344 0.7577 2.4355 37 1 3.5676 2.2864 2.0652 38 1 1.0564 0.6496 4.1870 39 1 0.2332 1.6100 6.2993 40 1 0.8202 3.9217 6.9122 41 1 2.4648 6.2667 4.6144 42 1 1.5328 6.1036 6.1221 43 1 2.6760 5.5627 8.1846 44 1 3.0344 3.9917 7.4276 45 1 5.4542 4.3765 7.7431 46 1 4.5999 4.4880 9.3011 47 1 6.8149 7.3499 9.4565 48 1 6.3332 5.8233 10.2347 49 1 7.2688 5.7939 8.7209 50 1 6.1530 6.4331 6.6143 51 1 5.7948 8.0042 7.3709 52 1 4.2291 7.5078 5.4977 53 1 3.3748 7.6194 7.0557 54 1 3.0612 4.3090 3.3043 RHF calculation, no. of doubly occupied orbitals= 64 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) 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 ZINC001255154857.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 16:08:18 Heat of formation + Delta-G solvation = 28.723929 kcal Electronic energy + Delta-G solvation = -28493.669052 eV Core-core repulsion = 24850.583121 eV Total energy + Delta-G solvation = -3643.085930 eV No. of doubly occupied orbitals = 64 Molecular weight (most abundant/longest-lived isotopes) = 331.232 amu Computer time = 1.01 seconds Orbital eigenvalues (eV) -39.96831 -38.93384 -36.60314 -35.74385 -33.33806 -31.74854 -31.26688 -31.12031 -29.91285 -28.62980 -26.22934 -25.54806 -24.11951 -23.80766 -23.39951 -23.34107 -21.66510 -20.25374 -20.03654 -19.23807 -17.03816 -16.55633 -16.31484 -15.76443 -15.37519 -15.26816 -15.14709 -14.81205 -14.48468 -14.33157 -14.20697 -14.01093 -13.72857 -13.44205 -12.92927 -12.89050 -12.72014 -12.67959 -12.29530 -12.21747 -12.09653 -11.82799 -11.73358 -11.59401 -11.51125 -11.23859 -11.12268 -11.10406 -10.78563 -10.75576 -10.62871 -10.12042 -10.08319 -9.88940 -9.67239 -8.78185 -8.68150 -8.65577 -8.49428 -8.38264 -8.28740 -7.36475 -6.34796 -4.05437 1.48529 1.57552 3.43599 3.45972 3.55786 3.60172 3.64038 4.07146 4.52565 4.55779 4.60645 4.70167 4.85642 4.88766 5.02210 5.06293 5.08605 5.16152 5.20250 5.22533 5.25530 5.29895 5.37027 5.44275 5.48408 5.48813 5.51582 5.58545 5.64046 5.68208 5.73351 5.78689 5.89537 6.07371 6.24653 6.26983 6.34193 6.47646 6.56718 6.58429 6.62647 6.64007 6.68575 6.83209 6.86744 6.92301 6.98435 7.07506 7.18496 7.30261 7.48536 7.57424 7.88354 8.11080 8.51679 8.59068 8.87538 9.64611 11.01953 Molecular weight = 331.23amu Principal moments of inertia in cm(-1) A = 0.016964 B = 0.002265 C = 0.002134 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1650.110396 B =12358.831311 C =13118.111801 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.118 4.118 2 C -0.105 4.105 3 C 0.204 3.796 4 H -0.008 1.008 5 C -0.593 4.593 6 H 0.053 0.947 7 C 0.024 3.976 8 N -0.910 5.910 9 Si 1.064 2.936 10 H -0.284 1.284 11 H -0.287 1.287 12 H -0.289 1.289 13 N -0.672 5.672 14 C 0.094 3.906 15 C -0.063 4.063 16 C -0.098 4.098 17 C -0.123 4.123 18 C -0.124 4.124 19 C -0.082 4.082 20 C 0.098 3.902 21 N -0.534 5.534 22 C 0.054 3.946 23 C 0.057 3.943 24 N -0.547 5.547 25 C 0.025 3.975 26 C 0.057 3.943 27 C 0.057 3.943 28 C -0.092 4.092 29 H 0.051 0.949 30 H 0.056 0.944 31 H 0.015 0.985 32 H 0.057 0.943 33 H 0.019 0.981 34 H 0.270 0.730 35 H 0.335 0.665 36 H 0.070 0.930 37 H 0.027 0.973 38 H 0.120 0.880 39 H 0.117 0.883 40 H 0.112 0.888 41 H 0.083 0.917 42 H 0.042 0.958 43 H 0.040 0.960 44 H 0.087 0.913 45 H 0.043 0.957 46 H 0.078 0.922 47 H 0.067 0.933 48 H 0.067 0.933 49 H 0.026 0.974 50 H 0.044 0.956 51 H 0.078 0.922 52 H 0.081 0.919 53 H 0.042 0.958 54 H 0.117 0.883 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.118 9.539 23.451 25.508 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 -0.176 4.176 2 C -0.143 4.143 3 C 0.096 3.904 4 H 0.009 0.991 5 C -0.631 4.631 6 H 0.071 0.929 7 C -0.181 4.181 8 N -0.546 5.546 9 Si 0.892 3.108 10 H -0.209 1.209 11 H -0.214 1.214 12 H -0.216 1.216 13 N -0.303 5.303 14 C -0.035 4.035 15 C -0.063 4.063 16 C -0.117 4.117 17 C -0.141 4.141 18 C -0.143 4.143 19 C -0.083 4.083 20 C -0.029 4.029 21 N -0.259 5.259 22 C -0.074 4.074 23 C -0.072 4.072 24 N -0.272 5.272 25 C -0.123 4.123 26 C -0.072 4.072 27 C -0.072 4.072 28 C -0.112 4.112 29 H 0.070 0.930 30 H 0.075 0.925 31 H 0.034 0.966 32 H 0.076 0.924 33 H 0.038 0.962 34 H 0.081 0.919 35 H 0.152 0.848 36 H 0.089 0.911 37 H 0.045 0.955 38 H 0.138 0.862 39 H 0.135 0.865 40 H 0.130 0.870 41 H 0.102 0.898 42 H 0.060 0.940 43 H 0.058 0.942 44 H 0.105 0.895 45 H 0.061 0.939 46 H 0.096 0.904 47 H 0.086 0.914 48 H 0.086 0.914 49 H 0.045 0.955 50 H 0.062 0.938 51 H 0.097 0.903 52 H 0.099 0.901 53 H 0.060 0.940 54 H 0.135 0.865 Dipole moment (debyes) X Y Z Total from point charges 2.594 9.004 21.960 23.876 hybrid contribution 0.884 0.524 1.430 1.761 sum 3.478 9.528 23.391 25.495 Atomic orbital electron populations 1.21420 0.96482 0.97450 1.02223 1.21476 0.96381 0.98237 0.98246 1.19247 0.93094 0.91762 0.86322 0.99086 1.21931 1.31035 1.18342 0.91807 0.92884 1.25687 0.96395 0.95947 1.00071 1.70790 1.21225 1.27031 1.35563 0.83616 0.75784 0.75490 0.75860 1.20896 1.21364 1.21599 1.60601 1.46151 1.16203 1.07373 1.20904 0.93587 0.99857 0.89190 1.19995 0.96686 0.93827 0.95835 1.21035 0.96864 1.00084 0.93721 1.21039 1.00467 0.95454 0.97164 1.20895 0.99560 0.94635 0.99160 1.19536 0.98328 0.95290 0.95142 1.20991 0.89964 0.93929 0.98010 1.62147 1.28994 1.17267 1.17494 1.22239 0.96204 1.00202 0.88716 1.22178 0.96258 0.89050 0.99677 1.62185 1.29134 1.17956 1.17893 1.22342 0.90054 1.01992 0.97937 1.22167 0.96795 0.99181 0.89013 1.22163 0.95759 0.89394 0.99839 1.20883 0.99269 0.94845 0.96159 0.92998 0.92481 0.96553 0.92410 0.96244 0.91863 0.84791 0.91115 0.95501 0.86196 0.86499 0.86970 0.89847 0.93996 0.94202 0.89507 0.93863 0.90394 0.91375 0.91388 0.95521 0.93817 0.90317 0.90075 0.94013 0.86456 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 -0.12 -2.64 9.43 37.16 0.35 -2.29 16 2 C -0.10 -2.47 5.51 -26.73 -0.15 -2.62 16 3 C 0.20 5.00 1.93 -68.87 -0.13 4.87 16 4 H -0.01 -0.22 7.22 -51.93 -0.37 -0.60 16 5 C -0.59 -16.00 7.13 -34.44 -0.25 -16.24 16 6 H 0.05 1.44 7.67 -52.49 -0.40 1.04 16 7 C 0.02 0.66 5.26 -17.82 -0.09 0.56 16 8 N -0.91 -26.77 12.94 55.43 0.72 -26.06 16 9 Si 1.06 24.87 29.91 -169.99 -5.08 19.79 16 10 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 11 H -0.29 -6.48 7.11 56.52 0.40 -6.08 16 12 H -0.29 -6.49 7.11 56.52 0.40 -6.09 16 13 N -0.67 -14.10 5.60 -109.23 -0.61 -14.71 16 14 C 0.09 1.69 5.58 -4.98 -0.03 1.67 16 15 C -0.06 -0.98 5.44 -104.62 -0.57 -1.55 16 16 C -0.10 -1.42 9.70 -39.58 -0.38 -1.80 16 17 C -0.12 -1.52 10.05 -39.58 -0.40 -1.92 16 18 C -0.12 -1.45 7.92 -39.58 -0.31 -1.76 16 19 C -0.08 -1.03 4.89 -104.62 -0.51 -1.54 16 20 C 0.10 1.04 5.12 -4.97 -0.03 1.01 16 21 N -0.53 -5.56 4.70 -235.90 -1.11 -6.66 16 22 C 0.05 0.53 5.25 -3.77 -0.02 0.51 16 23 C 0.06 0.51 5.62 -3.77 -0.02 0.49 16 24 N -0.55 -4.81 4.97 -242.75 -1.21 -6.02 16 25 C 0.03 0.17 9.60 60.07 0.58 0.75 16 26 C 0.06 0.48 5.62 -3.76 -0.02 0.46 16 27 C 0.06 0.51 5.61 -3.76 -0.02 0.48 16 28 C -0.09 -1.33 9.36 -39.58 -0.37 -1.70 16 29 H 0.05 1.13 7.59 -51.93 -0.39 0.74 16 30 H 0.06 1.38 7.31 -51.93 -0.38 1.00 16 31 H 0.02 0.31 8.14 -51.93 -0.42 -0.11 16 32 H 0.06 1.49 6.35 -51.92 -0.33 1.16 16 33 H 0.02 0.42 7.33 -51.93 -0.38 0.04 16 34 H 0.27 7.95 6.03 -40.82 -0.25 7.70 16 35 H 0.33 7.10 8.29 -39.29 -0.33 6.77 16 36 H 0.07 1.29 7.24 -51.93 -0.38 0.91 16 37 H 0.03 0.50 8.08 -51.93 -0.42 0.08 16 38 H 0.12 1.69 8.06 -52.49 -0.42 1.27 16 39 H 0.12 1.18 8.06 -52.49 -0.42 0.76 16 40 H 0.11 1.09 7.99 -52.49 -0.42 0.67 16 41 H 0.08 0.86 7.97 -51.93 -0.41 0.45 16 42 H 0.04 0.41 8.06 -51.93 -0.42 -0.01 16 43 H 0.04 0.39 8.14 -51.93 -0.42 -0.04 16 44 H 0.09 0.89 5.95 -51.93 -0.31 0.58 16 45 H 0.04 0.44 8.14 -51.93 -0.42 0.02 16 46 H 0.08 0.61 8.13 -51.93 -0.42 0.18 16 47 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 48 H 0.07 0.42 8.13 -51.93 -0.42 -0.01 16 49 H 0.03 0.19 8.14 -51.93 -0.42 -0.24 16 50 H 0.04 0.41 8.14 -51.93 -0.42 -0.01 16 51 H 0.08 0.56 8.14 -51.93 -0.42 0.14 16 52 H 0.08 0.66 8.07 -51.93 -0.42 0.24 16 53 H 0.04 0.38 8.14 -51.93 -0.42 -0.05 16 54 H 0.12 1.68 8.06 -52.49 -0.42 1.25 16 LS Contribution 415.19 15.07 6.26 6.26 Total: -1.00 -29.25 415.19 -13.31 -42.56 By element: Atomic # 1 Polarization: 15.37 SS G_CDS: -9.90 Total: 5.47 kcal Atomic # 6 Polarization: -18.26 SS G_CDS: -2.38 Total: -20.63 kcal Atomic # 7 Polarization: -51.24 SS G_CDS: -2.21 Total: -53.45 kcal Atomic # 14 Polarization: 24.87 SS G_CDS: -5.08 Total: 19.79 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -29.25 -13.31 -42.56 kcal The number of atoms in the molecule is 54 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. ZINC001255154857.mol2 54 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 71.286 kcal (2) G-P(sol) polarization free energy of solvation -29.250 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 42.036 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -13.312 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.562 kcal (6) G-S(sol) free energy of system = (1) + (5) 28.724 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds