Wall clock time and date at job start Sun Mar 7 2021 12:26:15 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= 0 * 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 O 1.42898 * 1 3 3 C 1.35996 * 117.00132 * 2 1 4 4 C 1.39151 * 120.07598 * 180.02562 * 3 2 1 5 5 O 1.36004 * 120.07160 * 359.95997 * 4 3 2 6 6 C 1.42900 * 116.99973 * 180.02562 * 5 4 3 7 7 C 1.50701 * 109.47064 * 179.97438 * 6 5 4 8 8 O 1.21280 * 119.99781 * 359.97438 * 7 6 5 9 9 N 1.34771 * 119.99622 * 180.02562 * 7 6 5 10 10 C 1.46505 * 119.99622 * 179.97438 * 9 7 6 11 11 C 1.52997 * 109.47212 * 179.97438 * 10 9 7 12 12 H 1.09003 * 112.84890 * 316.19493 * 11 10 9 13 13 C 1.53787 * 113.61418 * 87.49925 * 11 10 9 14 14 C 1.53784 * 87.07648 * 89.11807 * 13 11 10 15 15 H 1.08992 * 113.69150 * 270.86683 * 14 13 11 16 16 S 1.81407 * 113.61151 * 139.97992 * 14 13 11 17 17 C 1.81408 * 101.91908 * 82.50124 * 16 14 13 18 18 O 1.42096 * 108.57838 * 196.98503 * 16 14 13 19 19 O 1.42098 * 108.57972 * 328.01629 * 16 14 13 20 20 C 1.53780 * 113.61900 * 184.99939 * 11 10 9 21 21 C 1.38563 * 119.85494 * 180.23262 * 4 3 2 22 22 C 1.38240 * 119.99955 * 359.47395 * 21 4 3 23 23 N 1.48005 * 119.92624 * 180.27429 * 22 21 4 24 24 O 1.21792 * 120.00105 * 0.27539 * 23 22 21 25 25 O 1.21805 * 119.99343 * 180.27729 * 23 22 21 26 26 C 1.38254 * 120.14666 * 0.55106 * 22 21 4 27 27 C 1.50688 * 119.92988 * 179.72506 * 26 22 21 28 28 O 1.42895 * 109.47202 * 74.97575 * 27 26 22 29 29 Si 1.86296 * 109.47366 * 194.97791 * 27 26 22 30 30 C 1.38250 * 120.14258 * 359.70105 * 26 22 21 31 31 H 1.09007 * 109.46757 * 179.97438 * 1 2 3 32 32 H 1.08999 * 109.47032 * 299.99365 * 1 2 3 33 33 H 1.08990 * 109.47178 * 59.99803 * 1 2 3 34 34 H 1.09001 * 109.47130 * 59.99655 * 6 5 4 35 35 H 1.09002 * 109.47002 * 299.99755 * 6 5 4 36 36 H 0.96996 * 120.00772 * 359.97438 * 9 7 6 37 37 H 1.09002 * 109.47068 * 299.99729 * 10 9 7 38 38 H 1.09001 * 109.47372 * 59.99816 * 10 9 7 39 39 H 1.08998 * 113.61239 * 203.66675 * 13 11 10 40 40 H 1.08994 * 113.61233 * 334.57222 * 13 11 10 41 41 H 1.09002 * 109.46915 * 59.99998 * 17 16 14 42 42 H 1.09001 * 109.46699 * 180.02562 * 17 16 14 43 43 H 1.09004 * 109.47226 * 300.00053 * 17 16 14 44 44 H 1.09002 * 113.60839 * 25.43161 * 20 11 10 45 45 H 1.08997 * 113.62198 * 156.33399 * 20 11 10 46 46 H 1.08003 * 119.99830 * 179.72178 * 21 4 3 47 47 H 1.09005 * 109.46941 * 314.97599 * 27 26 22 48 48 H 0.96706 * 114.00028 * 180.02562 * 28 27 26 49 49 H 1.48503 * 110.00119 * 299.99785 * 29 27 26 50 50 H 1.48505 * 110.00413 * 61.31586 * 29 27 26 51 51 H 1.07994 * 119.99672 * 179.97438 * 30 26 22 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 8 1.4290 0.0000 0.0000 3 6 2.0464 1.2117 0.0000 4 6 3.4359 1.2864 -0.0005 5 8 4.1796 0.1476 -0.0002 6 6 5.6004 0.3006 -0.0003 7 6 6.2519 -1.0583 0.0007 8 8 5.5670 -2.0591 0.0018 9 7 7.5957 -1.1612 0.0014 10 6 8.2291 -2.4822 0.0029 11 6 9.7503 -2.3184 0.0028 12 1 10.0935 -1.5531 -0.6934 13 6 10.3562 -2.1897 1.4104 14 6 10.4679 -3.7235 1.4168 15 1 9.5812 -4.2256 1.8035 16 16 12.0050 -4.3369 2.1597 17 6 11.6082 -4.2961 3.9294 18 8 12.1884 -5.6905 1.7681 19 8 13.0381 -3.3949 1.9056 20 6 10.5131 -3.6482 -0.1185 21 6 4.0603 2.5234 0.0043 22 6 3.3029 3.6798 -0.0013 23 7 3.9715 5.0003 -0.0022 24 8 5.1876 5.0671 -0.0031 25 8 3.3054 6.0201 -0.0020 26 6 1.9224 3.6058 -0.0002 27 6 1.1016 4.8695 -0.0001 28 8 1.1342 5.4588 -1.3015 29 14 -0.6593 4.4664 0.4553 30 6 1.2932 2.3747 0.0002 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5137 0.8900 33 1 -0.3633 0.5138 -0.8899 34 1 5.9066 0.8507 0.8896 35 1 5.9066 0.8502 -0.8904 36 1 8.1435 -0.3607 0.0009 37 1 7.9225 -3.0311 0.8933 38 1 7.9233 -3.0329 -0.8867 39 1 11.3203 -1.6816 1.4259 40 1 9.6589 -1.7997 2.1518 41 1 10.7515 -4.9412 4.1246 42 1 12.4663 -4.6475 4.5023 43 1 11.3684 -3.2745 4.2245 44 1 9.9425 -4.4354 -0.6112 45 1 11.5202 -3.5388 -0.5208 46 1 5.1386 2.5840 0.0085 47 1 1.5135 5.5701 0.7264 48 1 0.6260 6.2782 -1.3751 49 1 -1.2323 3.5120 -0.5276 50 1 -0.7102 3.8822 1.8196 51 1 0.2147 2.3196 0.0014 There are 77 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 77 No. of singly occupied orbitals= 1 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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=0 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 s_22_17836384_4549636.mol2 51 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 12:26:15 Heat of formation + Delta-G solvation = -126.561667 kcal Electronic energy + Delta-G solvation = -39772.015812 eV Core-core repulsion = 34158.440920 eV Total energy + Delta-G solvation = -5613.574892 eV No. of doubly occupied orbitals = 77 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 431.131 amu Computer time = 3.51 seconds Orbital eigenvalues (eV) -43.27877 -42.16835 -41.33064 -40.44725 -39.58738 -39.11210 -38.03093 -37.63177 -37.10189 -37.07705 -35.70738 -32.86390 -32.66638 -31.00142 -30.67021 -29.20724 -28.59662 -27.89177 -27.17948 -25.91416 -25.28310 -23.93223 -23.10364 -21.97727 -20.75407 -20.73547 -19.91517 -19.67817 -19.55087 -18.80641 -18.68552 -18.61264 -18.20923 -18.09615 -17.90281 -17.71361 -17.30757 -17.09705 -17.02636 -16.88750 -16.59373 -16.19796 -16.09405 -15.94213 -15.53044 -15.19772 -14.96446 -14.77173 -14.49391 -14.38112 -14.30217 -14.22327 -14.12284 -13.98256 -13.93093 -13.63671 -13.47597 -13.24119 -13.13453 -13.07406 -12.93885 -12.73321 -12.62508 -12.51218 -12.42710 -12.28036 -12.13101 -11.98852 -11.97725 -11.91108 -11.88045 -11.28996 -11.05629 -10.60716 -10.39383 -10.31219 -9.57812 -5.21739 -1.24957 -1.11125 -0.55096 0.28740 0.39030 0.99629 1.05660 1.29529 1.38434 1.59646 1.63851 1.66148 1.81900 2.13393 2.40758 2.65111 2.79095 2.97289 3.00033 3.12836 3.17034 3.20815 3.26888 3.32354 3.41023 3.58641 3.59859 3.63107 3.70855 3.74889 3.77335 3.81442 3.86366 3.89466 3.91729 4.06750 4.11488 4.19613 4.26034 4.26503 4.31310 4.45810 4.51665 4.54861 4.56157 4.56995 4.61947 4.64682 4.88847 5.08303 5.37671 5.43557 5.85953 6.12435 6.51662 6.76205 6.88870 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.015 3.985 2 O -0.283 6.283 3 C 0.170 3.830 4 C 0.110 3.890 5 O -0.265 6.265 6 C 0.031 3.969 7 C 0.518 3.482 8 O -0.508 6.508 9 N -0.726 5.726 10 C 0.137 3.863 11 C -0.115 4.115 12 H 0.099 0.901 13 C -0.112 4.112 14 C -0.610 4.610 15 H 0.153 0.847 16 S 2.423 3.577 17 C -0.655 4.655 18 O -0.937 6.937 19 O -0.935 6.935 20 C -0.096 4.096 21 C -0.117 4.117 22 C -0.024 4.024 23 N 0.036 4.964 24 O -0.174 6.174 25 O -0.131 6.131 26 C 0.007 3.993 27 C -0.082 4.082 28 O -0.534 6.534 29 Si 0.688 3.312 30 C -0.186 4.186 31 H 0.117 0.883 32 H 0.061 0.939 33 H 0.063 0.937 34 H 0.101 0.899 35 H 0.101 0.899 36 H 0.405 0.595 37 H 0.075 0.925 38 H 0.079 0.921 39 H 0.111 0.889 40 H 0.088 0.912 41 H 0.128 0.872 42 H 0.130 0.870 43 H 0.129 0.871 44 H 0.094 0.906 45 H 0.102 0.898 46 H 0.168 0.832 47 H 0.102 0.898 48 H 0.390 0.610 49 H -0.248 1.248 50 H -0.250 1.250 51 H 0.157 0.843 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.671 3.001 2.535 6.103 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 -0.079 4.079 2 O -0.195 6.195 3 C 0.122 3.878 4 C 0.062 3.938 5 O -0.177 6.177 6 C -0.048 4.048 7 C 0.302 3.698 8 O -0.381 6.381 9 N -0.380 5.380 10 C 0.014 3.986 11 C -0.135 4.135 12 H 0.117 0.883 13 C -0.150 4.150 14 C -0.719 4.719 15 H 0.171 0.829 16 S 2.605 3.395 17 C -0.804 4.804 18 O -0.934 6.934 19 O -0.932 6.932 20 C -0.135 4.135 21 C -0.136 4.136 22 C -0.108 4.108 23 N 0.555 4.445 24 O -0.384 6.384 25 O -0.352 6.352 26 C 0.005 3.995 27 C -0.193 4.193 28 O -0.341 6.341 29 Si 0.588 3.412 30 C -0.205 4.205 31 H 0.135 0.865 32 H 0.079 0.921 33 H 0.082 0.918 34 H 0.118 0.882 35 H 0.119 0.881 36 H 0.240 0.760 37 H 0.094 0.906 38 H 0.097 0.903 39 H 0.129 0.871 40 H 0.107 0.893 41 H 0.147 0.853 42 H 0.148 0.852 43 H 0.147 0.853 44 H 0.113 0.887 45 H 0.120 0.880 46 H 0.186 0.814 47 H 0.119 0.881 48 H 0.239 0.761 49 H -0.172 1.172 50 H -0.174 1.174 51 H 0.174 0.826 Dipole moment (debyes) X Y Z Total from point charges -4.855 -0.271 2.251 5.358 hybrid contribution 0.192 1.064 0.551 1.214 sum -4.663 0.793 2.802 5.497 Atomic orbital electron populations 1.23384 0.76951 1.05748 1.01866 1.86332 1.22322 1.24226 1.86576 1.18403 0.89118 0.85741 0.94522 1.17801 0.88248 0.85387 1.02337 1.86334 1.16846 1.25986 1.88485 1.22662 0.80236 0.97152 1.04717 1.19826 0.82495 0.90208 0.77248 1.90819 1.62613 1.37857 1.46829 1.45748 1.05806 1.10027 1.76460 1.21216 0.90001 0.83968 1.03426 1.22465 0.93801 0.99143 0.98101 0.88295 1.22857 1.03737 0.90160 0.98270 1.31787 1.22665 1.08179 1.09286 0.82870 1.07824 0.77563 0.75548 0.78568 1.30241 1.12738 1.11626 1.25842 1.93617 1.84807 1.34117 1.80901 1.93611 1.51596 1.64182 1.83830 1.22584 1.02545 0.98344 0.90004 1.20791 1.02201 0.88866 1.01790 1.20369 0.91810 0.83305 1.15344 1.43250 1.00938 1.02451 0.97821 1.94542 0.95691 1.93681 1.54512 1.94498 1.64674 1.24139 1.51910 1.18953 0.90714 0.95066 0.94795 1.24873 1.09143 0.93994 0.91278 1.86436 1.76731 1.44037 1.26904 0.94584 0.79004 0.87606 0.80003 1.20942 1.00754 0.90026 1.08771 0.86514 0.92054 0.91793 0.88164 0.88090 0.75990 0.90626 0.90287 0.87056 0.89306 0.85316 0.85158 0.85266 0.88720 0.88001 0.81418 0.88079 0.76126 1.17239 1.17401 0.82567 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 29. 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 0.02 -0.03 9.81 101.05 0.99 0.96 16 2 O -0.28 -0.56 10.28 -34.23 -0.35 -0.91 16 3 C 0.17 0.30 6.70 -39.12 -0.26 0.04 16 4 C 0.11 0.16 6.70 -39.12 -0.26 -0.10 16 5 O -0.26 -0.55 9.46 -47.38 -0.45 -0.99 16 6 C 0.03 -0.06 5.22 36.01 0.19 0.13 16 7 C 0.52 0.03 7.91 -10.99 -0.09 -0.06 16 8 O -0.51 -2.63 16.50 -14.35 -0.24 -2.87 16 9 N -0.73 2.42 5.56 -60.29 -0.33 2.08 16 10 C 0.14 -0.41 5.35 -4.04 -0.02 -0.43 16 11 C -0.12 0.52 3.94 -89.81 -0.35 0.16 16 12 H 0.10 -0.53 8.14 -51.93 -0.42 -0.96 16 13 C -0.11 0.54 7.16 -25.91 -0.19 0.35 16 14 C -0.61 2.50 3.82 -25.92 -0.10 2.40 16 15 H 0.15 -0.91 7.72 -51.93 -0.40 -1.32 16 16 S 2.42 -3.96 5.34 -107.50 -0.57 -4.53 16 17 C -0.66 2.78 10.62 101.05 1.07 3.85 16 18 O -0.94 -2.67 18.10 -57.83 -1.05 -3.71 16 19 O -0.94 -1.66 17.19 -57.83 -0.99 -2.66 16 20 C -0.10 0.33 7.26 -25.92 -0.19 0.14 16 21 C -0.12 -0.07 8.54 -39.46 -0.34 -0.41 16 22 C -0.02 -0.06 6.85 -79.95 -0.55 -0.61 16 23 N 0.04 0.15 4.45 33.96 0.15 0.30 16 24 O -0.17 -0.78 18.44 -29.46 -0.54 -1.33 16 25 O -0.13 -0.55 14.62 -35.97 -0.53 -1.08 16 26 C 0.01 0.01 5.29 -104.62 -0.55 -0.54 16 27 C -0.08 0.02 1.73 36.00 0.06 0.08 16 28 O -0.53 -0.05 11.77 -55.48 -0.65 -0.71 16 29 Si 0.69 -1.71 30.19 -169.99 -5.13 -6.84 16 30 C -0.19 -0.17 7.65 -39.46 -0.30 -0.47 16 31 H 0.12 -0.40 8.14 -51.93 -0.42 -0.82 16 32 H 0.06 -0.18 7.66 -51.93 -0.40 -0.58 16 33 H 0.06 -0.17 7.66 -51.93 -0.40 -0.57 16 34 H 0.10 -0.48 7.65 -51.93 -0.40 -0.87 16 35 H 0.10 -0.44 7.67 -51.93 -0.40 -0.84 16 36 H 0.41 -2.61 8.47 -40.82 -0.35 -2.95 16 37 H 0.08 -0.18 7.39 -51.93 -0.38 -0.57 16 38 H 0.08 -0.14 8.14 -51.93 -0.42 -0.57 16 39 H 0.11 -0.51 7.36 -51.93 -0.38 -0.90 16 40 H 0.09 -0.53 8.10 -51.93 -0.42 -0.95 16 41 H 0.13 -0.73 8.14 -51.92 -0.42 -1.15 16 42 H 0.13 -0.53 8.14 -51.92 -0.42 -0.95 16 43 H 0.13 -0.77 8.14 -51.92 -0.42 -1.19 16 44 H 0.09 -0.35 8.10 -51.93 -0.42 -0.77 16 45 H 0.10 -0.35 8.10 -51.93 -0.42 -0.77 16 46 H 0.17 -0.33 5.85 -52.48 -0.31 -0.64 16 47 H 0.10 -0.06 6.07 -51.93 -0.32 -0.38 16 48 H 0.39 -1.86 8.74 45.56 0.40 -1.46 16 49 H -0.25 0.17 6.74 56.52 0.38 0.55 16 50 H -0.25 0.11 7.11 56.52 0.40 0.51 16 51 H 0.16 -0.09 3.13 -52.49 -0.16 -0.25 16 LS Contribution 438.83 15.07 6.61 6.61 Total: 0.00 -18.04 438.83 -11.47 -29.51 By element: Atomic # 1 Polarization: -11.89 SS G_CDS: -6.51 Total: -18.40 kcal Atomic # 6 Polarization: 6.41 SS G_CDS: -0.88 Total: 5.53 kcal Atomic # 7 Polarization: 2.56 SS G_CDS: -0.18 Total: 2.38 kcal Atomic # 8 Polarization: -9.46 SS G_CDS: -4.80 Total: -14.26 kcal Atomic # 14 Polarization: -1.71 SS G_CDS: -5.13 Total: -6.84 kcal Atomic # 16 Polarization: -3.96 SS G_CDS: -0.57 Total: -4.53 kcal Total LS contribution 6.61 Total: 6.61 kcal Total: -18.04 -11.47 -29.51 kcal The number of atoms in the molecule is 51 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. s_22_17836384_4549636.mol2 51 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 -97.055 kcal (2) G-P(sol) polarization free energy of solvation -18.039 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -115.094 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.468 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -29.507 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.562 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 3.51 seconds