Wall clock time and date at job start Sat Mar 6 2021 23:46:55 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 1.42900 * 1 3 3 C 1.36000 * 117.00049 * 2 1 4 4 C 1.39154 * 120.07295 * 179.97438 * 3 2 1 5 5 O 1.35996 * 120.07048 * 0.04145 * 4 3 2 6 6 C 1.42905 * 116.99671 * 180.02562 * 5 4 3 7 7 C 1.50699 * 109.47022 * 180.02562 * 6 5 4 8 8 O 1.21284 * 120.00210 * 359.97438 * 7 6 5 9 9 N 1.34773 * 120.00193 * 180.02562 * 7 6 5 10 10 C 1.46495 * 120.00330 * 174.89741 * 9 7 6 11 11 C 1.50704 * 112.84634 * 295.29917 * 10 9 7 12 12 C 1.38243 * 119.98575 * 164.01502 * 11 10 9 13 13 C 1.38226 * 120.00377 * 179.72519 * 12 11 10 14 14 C 1.38319 * 119.98937 * 0.55102 * 13 12 11 15 15 Br 1.89101 * 120.00811 * 179.70051 * 14 13 12 16 16 C 1.38321 * 119.98302 * 359.72029 * 14 13 12 17 17 C 1.38217 * 119.98897 * 0.02562 * 16 14 13 18 18 C 1.53787 * 113.61459 * 164.10559 * 10 9 7 19 19 C 1.54045 * 86.98718 * 270.83432 * 18 10 9 20 20 H 1.08997 * 113.62456 * 220.02652 * 19 18 10 21 21 O 1.42897 * 113.68889 * 89.12400 * 19 18 10 22 22 C 1.53783 * 113.61702 * 66.49775 * 10 9 7 23 23 C 1.38565 * 119.85365 * 180.02562 * 4 3 2 24 24 C 1.38239 * 119.99766 * 359.72697 * 23 4 3 25 25 C 1.38250 * 120.14801 * 0.54596 * 24 23 4 26 26 C 1.50705 * 119.93039 * 179.72701 * 25 24 23 27 27 O 1.42898 * 109.47101 * 119.72730 * 26 25 24 28 28 Si 1.86306 * 109.46789 * 359.72798 * 26 25 24 29 29 C 1.38244 * 120.14658 * 359.45102 * 25 24 23 30 30 H 1.08996 * 109.47050 * 180.02562 * 1 2 3 31 31 H 1.09006 * 109.46923 * 300.00207 * 1 2 3 32 32 H 1.08997 * 109.46877 * 60.00482 * 1 2 3 33 33 H 1.09000 * 109.46808 * 299.99463 * 6 5 4 34 34 H 1.09000 * 109.47418 * 59.99933 * 6 5 4 35 35 H 0.97006 * 119.99632 * 354.89013 * 9 7 6 36 36 H 1.07995 * 119.99961 * 359.97438 * 12 11 10 37 37 H 1.07998 * 120.00004 * 180.29583 * 13 12 11 38 38 H 1.08005 * 120.00536 * 179.97438 * 16 14 13 39 39 H 1.08000 * 119.99455 * 179.97438 * 17 16 14 40 40 H 1.09000 * 113.61763 * 25.43561 * 18 10 9 41 41 H 1.09004 * 113.61144 * 156.33289 * 18 10 9 42 42 H 0.96704 * 113.99658 * 82.47241 * 21 19 18 43 43 H 1.08997 * 113.61050 * 203.66581 * 22 10 9 44 44 H 1.08989 * 113.61233 * 334.48473 * 22 10 9 45 45 H 1.07999 * 120.00012 * 180.02562 * 23 4 3 46 46 H 1.08001 * 119.92904 * 180.29831 * 24 23 4 47 47 H 1.08993 * 109.46796 * 239.73252 * 26 25 24 48 48 H 0.96703 * 114.00052 * 300.00315 * 27 26 25 49 49 H 1.48502 * 109.99807 * 58.68304 * 28 26 25 50 50 H 1.48495 * 109.99690 * 179.97438 * 28 26 25 51 51 H 1.07994 * 120.00354 * 180.24530 * 29 25 24 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 1.2118 0.0000 4 6 3.4360 1.2863 0.0005 5 8 4.1795 0.1476 0.0002 6 6 5.6003 0.3006 0.0014 7 6 6.2519 -1.0582 0.0002 8 8 5.5670 -2.0592 -0.0010 9 7 7.5957 -1.1613 0.0015 10 6 8.2293 -2.4774 0.1132 11 6 7.9545 -3.1489 1.4340 12 6 8.1876 -4.5035 1.5822 13 6 7.9411 -5.1187 2.7952 14 6 7.4503 -4.3811 3.8574 15 35 7.1048 -5.2239 5.5145 16 6 7.2118 -3.0269 3.7070 17 6 7.4636 -2.4115 2.4952 18 6 9.7154 -2.4811 -0.2824 19 6 9.2478 -2.7694 -1.7216 20 1 9.8725 -3.4915 -2.2474 21 8 8.9944 -1.5915 -2.4898 22 6 7.9818 -3.3855 -1.1029 23 6 4.0603 2.5234 0.0011 24 6 3.3030 3.6798 -0.0046 25 6 1.9225 3.6057 0.0005 26 6 1.1016 4.8696 0.0005 27 8 0.2777 4.9025 -1.1666 28 14 2.2366 6.3471 0.0012 29 6 1.2932 2.3748 -0.0001 30 1 -0.3633 -1.0276 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5137 -0.8900 33 1 5.9072 0.8510 -0.8880 34 1 5.9060 0.8497 0.8920 35 1 8.1433 -0.3639 -0.0716 36 1 8.5662 -5.0802 0.7513 37 1 8.1278 -6.1759 2.9122 38 1 6.8282 -2.4507 4.5360 39 1 7.2771 -1.3542 2.3776 40 1 10.2010 -1.5123 -0.1653 41 1 10.2839 -3.2972 0.1637 42 1 9.7869 -1.1994 -2.8815 43 1 8.0772 -4.4483 -0.8807 44 1 7.0680 -3.1472 -1.6470 45 1 5.1386 2.5840 0.0011 46 1 3.7908 4.6434 -0.0091 47 1 0.4726 4.8943 0.8902 48 1 0.7719 4.8831 -1.9976 49 1 3.1216 6.3083 -1.1906 50 1 1.4393 7.5999 0.0006 51 1 0.2147 2.3196 -0.0001 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 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). Br: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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_12891094_60476.mol2 51 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 23:46:55 Heat of formation + Delta-G solvation = -76.246016 kcal Electronic energy + Delta-G solvation = -38257.934466 eV Core-core repulsion = 33138.129000 eV Total energy + Delta-G solvation = -5119.805466 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 464.076 amu Computer time = 3.56 seconds Orbital eigenvalues (eV) -42.27634 -41.66762 -40.14567 -39.53311 -39.00131 -38.78713 -36.99567 -36.36096 -34.21842 -33.12093 -32.08551 -31.91480 -31.43447 -30.34802 -29.46371 -28.40944 -27.13417 -26.26086 -25.52115 -23.92300 -23.54854 -22.65790 -22.42112 -21.69934 -20.39870 -19.73555 -18.82557 -18.64053 -18.32039 -18.02768 -17.78786 -17.43836 -17.02747 -17.01642 -16.55801 -16.43141 -16.16491 -16.06770 -15.85367 -15.79394 -15.66098 -15.46675 -15.08596 -14.96616 -14.66026 -14.53562 -14.32260 -14.25597 -13.85811 -13.71186 -13.59578 -13.52060 -13.37707 -13.06015 -12.73396 -12.60800 -12.53586 -12.41523 -12.23757 -12.16963 -12.13779 -11.98942 -11.68853 -11.65204 -11.47059 -11.18336 -11.12542 -10.74564 -10.63321 -10.14731 -10.01216 -9.76720 -9.50089 -8.83917 -4.98383 0.05202 0.18848 0.31175 0.31844 0.71419 1.26259 1.40823 1.56202 1.57619 1.94362 2.33610 2.48080 2.53415 2.58073 2.90117 3.25608 3.33577 3.38542 3.45897 3.53672 3.62400 3.65836 3.74511 3.79742 3.86569 3.89707 3.94089 3.96181 4.13669 4.16153 4.27323 4.29848 4.30650 4.35838 4.39079 4.45909 4.53593 4.53613 4.58798 4.61680 4.66766 4.71863 4.78863 4.92841 5.00331 5.01387 5.11442 5.17264 5.21491 5.28881 5.37781 5.56051 5.59847 5.77354 5.98443 6.36035 6.38257 6.50671 6.56710 7.17291 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 O -0.301 6.301 3 C 0.107 3.893 4 C 0.105 3.895 5 O -0.275 6.275 6 C 0.039 3.961 7 C 0.518 3.482 8 O -0.495 6.495 9 N -0.700 5.700 10 C 0.200 3.800 11 C -0.058 4.058 12 C -0.106 4.106 13 C -0.086 4.086 14 C -0.091 4.091 15 Br -0.050 7.050 16 C -0.086 4.086 17 C -0.097 4.097 18 C -0.161 4.161 19 C 0.080 3.920 20 H 0.076 0.924 21 O -0.546 6.546 22 C -0.132 4.132 23 C -0.170 4.170 24 C -0.113 4.113 25 C -0.114 4.114 26 C -0.073 4.073 27 O -0.530 6.530 28 Si 0.686 3.314 29 C -0.146 4.146 30 H 0.103 0.897 31 H 0.056 0.944 32 H 0.056 0.944 33 H 0.094 0.906 34 H 0.093 0.907 35 H 0.405 0.595 36 H 0.133 0.867 37 H 0.135 0.865 38 H 0.132 0.868 39 H 0.124 0.876 40 H 0.085 0.915 41 H 0.108 0.892 42 H 0.381 0.619 43 H 0.107 0.893 44 H 0.091 0.909 45 H 0.139 0.861 46 H 0.132 0.868 47 H 0.118 0.882 48 H 0.376 0.624 49 H -0.260 1.260 50 H -0.258 1.258 51 H 0.140 0.860 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.929 3.290 -0.569 7.692 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 -0.070 4.070 2 O -0.214 6.214 3 C 0.061 3.939 4 C 0.060 3.940 5 O -0.188 6.188 6 C -0.040 4.040 7 C 0.303 3.697 8 O -0.367 6.367 9 N -0.354 5.354 10 C 0.113 3.887 11 C -0.060 4.060 12 C -0.126 4.126 13 C -0.106 4.106 14 C -0.170 4.170 15 Br 0.035 6.965 16 C -0.106 4.106 17 C -0.116 4.116 18 C -0.199 4.199 19 C 0.021 3.979 20 H 0.094 0.906 21 O -0.351 6.351 22 C -0.170 4.170 23 C -0.189 4.189 24 C -0.131 4.131 25 C -0.115 4.115 26 C -0.182 4.182 27 O -0.337 6.337 28 Si 0.587 3.413 29 C -0.165 4.165 30 H 0.121 0.879 31 H 0.075 0.925 32 H 0.075 0.925 33 H 0.112 0.888 34 H 0.111 0.889 35 H 0.241 0.759 36 H 0.151 0.849 37 H 0.153 0.847 38 H 0.150 0.850 39 H 0.142 0.858 40 H 0.103 0.897 41 H 0.126 0.874 42 H 0.229 0.771 43 H 0.125 0.875 44 H 0.110 0.890 45 H 0.157 0.843 46 H 0.150 0.850 47 H 0.136 0.864 48 H 0.224 0.776 49 H -0.184 1.184 50 H -0.183 1.183 51 H 0.158 0.842 Dipole moment (debyes) X Y Z Total from point charges 5.436 2.456 0.272 5.971 hybrid contribution 0.445 0.617 -1.557 1.733 sum 5.880 3.073 -1.286 6.758 Atomic orbital electron populations 1.23128 0.78140 1.04391 1.01350 1.86254 1.21312 1.25329 1.88532 1.18285 0.89026 0.85567 1.01036 1.18284 0.88305 0.85784 1.01677 1.86284 1.15997 1.27691 1.88799 1.22465 0.81309 0.96323 1.03902 1.19945 0.82250 0.90580 0.76961 1.90813 1.62449 1.37741 1.45715 1.45284 1.05723 1.08411 1.76024 1.19825 0.93667 0.83718 0.91493 1.19876 0.97790 0.93881 0.94418 1.20919 1.00718 0.93668 0.97248 1.21093 0.97669 1.00145 0.91701 1.21834 1.06487 0.95613 0.93076 1.96770 1.94711 1.80038 1.24931 1.21105 0.98458 0.92837 0.98197 1.20872 0.98645 1.00054 0.92069 1.24093 0.93819 1.04261 0.97707 1.22772 0.97344 0.87768 0.90056 0.90611 1.86516 1.36996 1.42342 1.69237 1.23538 0.99212 0.99250 0.94973 1.20984 1.00445 0.90678 1.06743 1.20680 0.92842 0.97875 1.01677 1.19979 0.93701 0.95080 1.02690 1.25011 1.00230 1.01816 0.91170 1.86593 1.35616 1.95711 1.15746 0.95009 0.80373 0.76373 0.89527 1.20933 1.00396 0.90399 1.04801 0.87894 0.92519 0.92540 0.88820 0.88894 0.75908 0.84879 0.84724 0.84975 0.85838 0.89685 0.87363 0.77100 0.87461 0.89015 0.84331 0.85026 0.86385 0.77602 1.18436 1.18264 0.84183 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 30. 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 0.02 9.81 101.05 0.99 1.01 16 2 O -0.30 -1.41 10.28 -34.24 -0.35 -1.76 16 3 C 0.11 0.38 6.70 -39.12 -0.26 0.12 16 4 C 0.11 0.30 6.70 -39.12 -0.26 0.04 16 5 O -0.28 -1.13 9.46 -47.35 -0.45 -1.58 16 6 C 0.04 -0.01 5.22 36.01 0.19 0.18 16 7 C 0.52 0.92 6.29 -10.99 -0.07 0.85 16 8 O -0.50 -3.29 14.99 -14.35 -0.22 -3.51 16 9 N -0.70 0.95 3.84 -47.92 -0.18 0.76 16 10 C 0.20 -0.18 0.92 -132.16 -0.12 -0.30 16 11 C -0.06 -0.04 4.69 -104.62 -0.49 -0.53 16 12 C -0.11 -0.03 8.86 -39.58 -0.35 -0.38 16 13 C -0.09 -0.10 9.79 -39.56 -0.39 -0.48 16 14 C -0.09 -0.19 6.22 -39.52 -0.25 -0.44 16 15 Br -0.05 -0.11 33.70 -68.01 -2.29 -2.40 16 16 C -0.09 -0.16 9.79 -39.56 -0.39 -0.55 16 17 C -0.10 -0.13 8.80 -39.59 -0.35 -0.48 16 18 C -0.16 0.56 7.14 -25.78 -0.18 0.37 16 19 C 0.08 -0.20 5.28 -25.78 -0.14 -0.34 16 20 H 0.08 -0.28 8.14 -51.93 -0.42 -0.71 16 21 O -0.55 1.11 13.09 -35.23 -0.46 0.65 16 22 C -0.13 0.02 6.60 -25.92 -0.17 -0.15 16 23 C -0.17 0.02 9.04 -39.46 -0.36 -0.33 16 24 C -0.11 0.06 8.66 -39.58 -0.34 -0.28 16 25 C -0.11 -0.05 5.39 -104.61 -0.56 -0.62 16 26 C -0.07 0.02 2.82 36.01 0.10 0.12 16 27 O -0.53 -0.62 12.77 -35.23 -0.45 -1.07 16 28 Si 0.69 -0.87 29.78 -169.99 -5.06 -5.93 16 29 C -0.15 -0.25 8.60 -39.46 -0.34 -0.59 16 30 H 0.10 -0.06 8.14 -51.93 -0.42 -0.48 16 31 H 0.06 -0.03 7.66 -51.93 -0.40 -0.43 16 32 H 0.06 -0.02 7.66 -51.93 -0.40 -0.42 16 33 H 0.09 -0.25 7.66 -51.93 -0.40 -0.65 16 34 H 0.09 -0.31 7.67 -51.93 -0.40 -0.71 16 35 H 0.41 -1.73 8.66 -40.82 -0.35 -2.08 16 36 H 0.13 -0.28 6.38 -52.49 -0.33 -0.61 16 37 H 0.13 -0.05 8.06 -52.49 -0.42 -0.47 16 38 H 0.13 0.09 8.06 -52.48 -0.42 -0.33 16 39 H 0.12 0.01 6.73 -52.49 -0.35 -0.34 16 40 H 0.08 -0.38 8.09 -51.93 -0.42 -0.81 16 41 H 0.11 -0.45 7.88 -51.93 -0.41 -0.86 16 42 H 0.38 -2.30 9.12 45.56 0.42 -1.89 16 43 H 0.11 -0.15 6.09 -51.93 -0.32 -0.47 16 44 H 0.09 0.29 7.30 -51.94 -0.38 -0.09 16 45 H 0.14 -0.45 6.30 -52.49 -0.33 -0.78 16 46 H 0.13 -0.35 4.87 -52.49 -0.26 -0.61 16 47 H 0.12 -0.12 7.96 -51.93 -0.41 -0.53 16 48 H 0.38 -0.58 8.70 45.56 0.40 -0.18 16 49 H -0.26 -0.14 7.11 56.52 0.40 0.26 16 50 H -0.26 -0.55 7.11 56.52 0.40 -0.15 16 51 H 0.14 0.11 6.30 -52.49 -0.33 -0.23 16 LS Contribution 436.88 15.07 6.58 6.58 Total: 0.00 -12.39 436.88 -12.18 -24.58 By element: Atomic # 1 Polarization: -7.98 SS G_CDS: -5.56 Total: -13.54 kcal Atomic # 6 Polarization: 0.95 SS G_CDS: -3.74 Total: -2.78 kcal Atomic # 7 Polarization: 0.95 SS G_CDS: -0.18 Total: 0.76 kcal Atomic # 8 Polarization: -5.34 SS G_CDS: -1.93 Total: -7.26 kcal Atomic # 14 Polarization: -0.87 SS G_CDS: -5.06 Total: -5.93 kcal Atomic # 35 Polarization: -0.11 SS G_CDS: -2.29 Total: -2.40 kcal Total LS contribution 6.58 Total: 6.58 kcal Total: -12.39 -12.18 -24.58 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_12891094_60476.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 -51.668 kcal (2) G-P(sol) polarization free energy of solvation -12.394 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -64.062 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.184 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -24.578 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.246 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 3.57 seconds