Wall clock time and date at job start Thu Mar 4 2021 13:46:04 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 O 2 2 C 1.42902 * 1 3 3 Si 1.86302 * 109.46829 * 2 1 4 4 C 1.50705 * 109.46839 * 240.00197 * 2 1 3 5 5 C 1.35004 * 126.42780 * 150.03900 * 4 2 1 6 6 N 1.33580 * 108.65643 * 179.97438 * 5 4 2 7 7 C 1.32411 * 109.22599 * 0.02562 * 6 5 4 8 8 C 1.41250 * 132.11993 * 180.02562 * 7 6 5 9 9 Br 1.89098 * 120.25159 * 0.02562 * 8 7 6 10 10 C 1.35703 * 119.49258 * 180.02562 * 8 7 6 11 11 C 1.41767 * 119.53083 * 359.97438 * 10 8 7 12 12 C 1.47564 * 120.00847 * 180.02562 * 11 10 8 13 13 O 1.21599 * 119.99873 * 180.02562 * 12 11 10 14 14 N 1.34777 * 120.00225 * 0.02562 * 12 11 10 15 15 C 1.46500 * 120.00270 * 180.02562 * 14 12 11 16 16 H 1.09002 * 109.47129 * 34.99540 * 15 14 12 17 17 C 1.52997 * 109.47473 * 154.99797 * 15 14 12 18 18 C 1.53000 * 109.47060 * 180.02562 * 17 15 14 19 19 C 1.53002 * 109.47233 * 299.99657 * 18 17 15 20 20 H 1.09002 * 109.47075 * 300.00932 * 19 18 17 21 21 N 1.46492 * 109.47204 * 180.02562 * 19 18 17 22 22 C 1.46450 * 126.08723 * 299.99831 * 21 19 18 23 23 C 1.53199 * 113.70470 * 178.24368 * 22 21 19 24 24 C 1.55560 * 106.23955 * 27.55858 * 23 22 21 25 25 S 1.67295 * 126.08262 * 119.69254 * 21 19 18 26 26 O 1.42098 * 105.40541 * 274.99339 * 25 21 19 27 27 O 1.42097 * 105.40671 * 45.25758 * 25 21 19 28 28 C 1.52997 * 109.46817 * 60.00194 * 19 18 17 29 29 C 1.52999 * 109.46944 * 275.00142 * 15 14 12 30 30 C 1.36500 * 119.97969 * 0.27760 * 11 10 8 31 31 N 1.35946 * 120.50509 * 359.44230 * 30 11 10 32 32 H 0.96696 * 114.00327 * 60.00028 * 1 2 3 33 33 H 1.08998 * 109.47265 * 120.00220 * 2 1 3 34 34 H 1.48500 * 110.00027 * 298.68045 * 3 2 1 35 35 H 1.48491 * 109.99897 * 60.00245 * 3 2 1 36 36 H 1.08007 * 125.67076 * 359.96515 * 5 4 2 37 37 H 1.07999 * 120.23497 * 179.97438 * 10 8 7 38 38 H 0.97000 * 120.00239 * 359.97438 * 14 12 11 39 39 H 1.09002 * 109.47153 * 59.99757 * 17 15 14 40 40 H 1.09001 * 109.46832 * 299.99948 * 17 15 14 41 41 H 1.08992 * 109.47399 * 59.99823 * 18 17 15 42 42 H 1.09004 * 109.46724 * 180.02562 * 18 17 15 43 43 H 1.09000 * 108.64964 * 299.36101 * 22 21 19 44 44 H 1.09005 * 108.63952 * 57.13833 * 22 21 19 45 45 H 1.09010 * 110.09336 * 146.74562 * 23 22 21 46 46 H 1.08995 * 110.10357 * 268.35360 * 23 22 21 47 47 H 1.08994 * 111.37315 * 80.60905 * 24 23 22 48 48 H 1.09000 * 111.36540 * 205.35156 * 24 23 22 49 49 H 1.09002 * 109.47153 * 60.00231 * 28 19 18 50 50 H 1.09001 * 109.47289 * 180.02562 * 28 19 18 51 51 H 1.09000 * 109.47486 * 59.99569 * 29 15 14 52 52 H 1.09002 * 109.46716 * 299.99651 * 29 15 14 53 53 H 1.07997 * 119.74550 * 179.72800 * 30 11 10 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 8 0.0000 0.0000 0.0000 2 6 1.4290 0.0000 0.0000 3 14 2.0499 1.7565 0.0000 4 6 1.9313 -0.7104 -1.2305 5 6 3.0858 -0.4617 -1.8847 6 7 3.1770 -1.2969 -2.9232 7 6 2.1068 -2.0762 -2.9513 8 6 1.7125 -3.1128 -3.8260 9 35 2.8143 -3.6002 -5.2835 10 6 0.5369 -3.7562 -3.6124 11 6 -0.2769 -3.3786 -2.5146 12 6 -1.5570 -4.0715 -2.2722 13 8 -2.2551 -3.7472 -1.3308 14 7 -1.9524 -5.0638 -3.0940 15 6 -3.2235 -5.7513 -2.8537 16 1 -3.9523 -5.0414 -2.4625 17 6 -3.7405 -6.3415 -4.1671 18 6 -5.0684 -7.0590 -3.9161 19 6 -4.8565 -8.1834 -2.9003 20 1 -4.1278 -8.8936 -3.2911 21 7 -6.1277 -8.8707 -2.6604 22 6 -7.3526 -8.2614 -2.1376 23 6 -8.5311 -9.2352 -2.0385 24 6 -7.9120 -10.6493 -1.8462 25 16 -6.4407 -10.4899 -2.9415 26 8 -6.8004 -10.5721 -4.3138 27 8 -5.3216 -11.1880 -2.4130 28 6 -4.3394 -7.5932 -1.5868 29 6 -3.0110 -6.8757 -1.8380 30 6 0.1216 -2.3705 -1.6851 31 7 1.3019 -1.7295 -1.8955 32 1 -0.3933 0.4417 -0.7650 33 1 1.7924 -0.5139 0.8899 34 1 1.5878 2.4586 -1.2242 35 1 1.5614 2.4678 1.2085 36 1 3.8144 0.2881 -1.6136 37 1 0.2235 -4.5502 -4.2739 38 1 -1.3957 -5.3223 -3.8452 39 1 -3.0117 -7.0515 -4.5582 40 1 -3.8919 -5.5405 -4.8906 41 1 -5.7969 -6.3488 -3.5252 42 1 -5.4364 -7.4799 -4.8518 43 1 -7.1466 -7.8613 -1.1449 44 1 -7.6367 -7.4356 -2.7900 45 1 -9.1564 -8.9805 -1.1827 46 1 -9.1198 -9.2054 -2.9553 47 1 -7.6226 -10.8185 -0.8091 48 1 -8.5863 -11.4294 -2.1994 49 1 -5.0680 -6.8829 -1.1959 50 1 -4.1880 -8.3942 -0.8632 51 1 -2.6427 -6.4552 -0.9022 52 1 -2.2822 -7.5856 -2.2291 53 1 -0.5034 -2.0830 -0.8526 There are 78 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 78 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) 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=WATER m_22_16729364_12335884.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Thu Mar 4 2021 13:46:04 Heat of formation + Delta-G solvation = -29.618865 kcal Electronic energy + Delta-G solvation = -40961.676758 eV Core-core repulsion = 35588.837046 eV Total energy + Delta-G solvation = -5372.839712 eV No. of doubly occupied orbitals = 78 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 499.066 amu Computer time = 1.90 seconds Orbital eigenvalues (eV) -44.26968 -41.45434 -39.91950 -38.56332 -38.29058 -38.11592 -37.58010 -36.98580 -35.65741 -35.16693 -33.34526 -32.39003 -31.83341 -31.79510 -30.28433 -29.28737 -27.29912 -26.90333 -25.62916 -24.10191 -23.81773 -23.66165 -22.79264 -22.50513 -21.73257 -20.80055 -19.92168 -19.53388 -18.77560 -18.35856 -18.26890 -17.83774 -17.77799 -17.55921 -17.11345 -16.94756 -16.49460 -16.29617 -16.11280 -15.91764 -15.85758 -15.70807 -15.53082 -15.21833 -15.01549 -14.89562 -14.67659 -14.56876 -14.43023 -14.11711 -14.03740 -13.72281 -13.49456 -13.40469 -13.34583 -13.26052 -13.21443 -13.13251 -13.03232 -12.77588 -12.70387 -12.46236 -12.27076 -12.16522 -12.15919 -12.03787 -11.58942 -11.56046 -11.44623 -11.38976 -11.37498 -11.29041 -11.18669 -11.07052 -10.27924 -10.01750 -9.83764 -9.09399 -4.94571 -0.91884 -0.80107 -0.39086 0.18344 0.95757 1.12883 1.39782 1.46006 1.66805 1.80653 1.90629 2.00925 2.21912 2.58710 2.80988 2.93584 2.98092 3.13453 3.29215 3.35717 3.43600 3.46485 3.57336 3.63006 3.69255 3.84654 3.91417 3.96035 4.05139 4.12561 4.17323 4.20176 4.29444 4.35254 4.37657 4.40479 4.42809 4.47043 4.48216 4.51934 4.61535 4.68121 4.71504 4.91393 4.94969 4.95205 4.99468 5.08848 5.10553 5.13883 5.15336 5.30659 5.31861 5.34226 5.45587 5.55845 5.69258 6.17643 6.31000 6.49095 6.96764 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.547 6.547 2 C -0.053 4.053 3 Si 0.816 3.184 4 C -0.090 4.090 5 C 0.045 3.955 6 N -0.493 5.493 7 C 0.223 3.777 8 C -0.080 4.080 9 Br 0.006 6.994 10 C -0.026 4.026 11 C -0.169 4.169 12 C 0.580 3.420 13 O -0.563 6.563 14 N -0.703 5.703 15 C 0.148 3.852 16 H 0.083 0.917 17 C -0.121 4.121 18 C -0.123 4.123 19 C 0.182 3.818 20 H 0.081 0.919 21 N -0.983 5.983 22 C 0.069 3.931 23 C -0.124 4.124 24 C -0.559 4.559 25 S 2.543 3.457 26 O -0.995 6.995 27 O -1.003 7.003 28 C -0.119 4.119 29 C -0.126 4.126 30 C 0.156 3.844 31 N -0.359 5.359 32 H 0.386 0.614 33 H 0.139 0.861 34 H -0.290 1.290 35 H -0.289 1.289 36 H 0.229 0.771 37 H 0.185 0.815 38 H 0.415 0.585 39 H 0.085 0.915 40 H 0.088 0.912 41 H 0.081 0.919 42 H 0.073 0.927 43 H 0.088 0.912 44 H 0.089 0.911 45 H 0.138 0.862 46 H 0.100 0.900 47 H 0.161 0.839 48 H 0.159 0.841 49 H 0.078 0.922 50 H 0.067 0.933 51 H 0.058 0.942 52 H 0.075 0.925 53 H 0.191 0.809 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.691 1.887 1.933 4.574 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 O -0.354 6.354 2 C -0.160 4.160 3 Si 0.717 3.283 4 C -0.201 4.201 5 C -0.104 4.104 6 N -0.212 5.212 7 C -0.022 4.022 8 C -0.162 4.162 9 Br 0.091 6.909 10 C -0.052 4.052 11 C -0.176 4.176 12 C 0.366 3.634 13 O -0.443 6.443 14 N -0.355 5.355 15 C 0.044 3.956 16 H 0.101 0.899 17 C -0.159 4.159 18 C -0.163 4.163 19 C 0.077 3.923 20 H 0.099 0.901 21 N -0.824 5.824 22 C -0.057 4.057 23 C -0.164 4.164 24 C -0.694 4.694 25 S 2.645 3.355 26 O -0.984 6.984 27 O -0.993 6.993 28 C -0.159 4.159 29 C -0.166 4.166 30 C 0.030 3.970 31 N -0.032 5.032 32 H 0.236 0.764 33 H 0.156 0.844 34 H -0.217 1.217 35 H -0.216 1.216 36 H 0.245 0.755 37 H 0.202 0.798 38 H 0.253 0.747 39 H 0.104 0.896 40 H 0.107 0.893 41 H 0.100 0.900 42 H 0.092 0.908 43 H 0.107 0.893 44 H 0.107 0.893 45 H 0.156 0.844 46 H 0.119 0.881 47 H 0.179 0.821 48 H 0.177 0.823 49 H 0.097 0.903 50 H 0.086 0.914 51 H 0.077 0.923 52 H 0.094 0.906 53 H 0.207 0.793 Dipole moment (debyes) X Y Z Total from point charges -2.605 1.828 1.421 3.485 hybrid contribution -1.946 -0.095 0.422 1.993 sum -4.550 1.733 1.843 5.206 Atomic orbital electron populations 1.86589 1.18336 1.80118 1.50377 1.25205 0.83361 1.12310 0.95156 0.93442 0.89365 0.68705 0.76778 1.22419 0.98407 0.96570 1.02655 1.23034 0.96483 0.99941 0.90972 1.70840 1.19900 1.08113 1.22328 1.20728 0.90022 0.99942 0.91496 1.20583 0.98423 0.99233 0.97953 1.96844 1.66618 1.90465 1.36975 1.21363 0.90227 0.98079 0.95542 1.19287 0.98364 1.00826 0.99138 1.17530 0.83991 0.79719 0.82169 1.90845 1.55776 1.66448 1.31188 1.45813 1.23490 1.35120 1.31043 1.21090 0.84539 0.93555 0.96393 0.89931 1.21782 0.97388 1.00985 0.95786 1.21845 0.97834 0.97279 0.99356 1.20715 0.81797 0.94143 0.95599 0.90108 1.57031 1.16997 1.27054 1.81366 1.21783 0.83087 0.98568 1.02217 1.22574 0.97518 0.88596 1.07676 1.30621 1.16590 1.06448 1.15703 1.07027 0.77990 0.74232 0.76273 1.93604 1.85108 1.85880 1.33833 1.93550 1.51522 1.73349 1.80894 1.21795 0.96835 1.00206 0.97043 1.21884 0.97897 0.97371 0.99407 1.22219 0.85185 0.90633 0.99011 1.42748 1.14854 1.24345 1.21265 0.76441 0.84397 1.21666 1.21572 0.75525 0.79793 0.74682 0.89642 0.89338 0.90046 0.90836 0.89329 0.89317 0.84390 0.88100 0.82120 0.82270 0.90335 0.91413 0.92324 0.90644 0.79262 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 O -0.55 0.16 10.89 -148.98 -1.62 -1.47 16 2 C -0.05 0.17 3.06 71.24 0.22 0.39 16 3 Si 0.82 -4.51 31.18 68.60 2.14 -2.37 16 4 C -0.09 -0.04 6.24 41.01 0.26 0.21 16 5 C 0.05 0.03 10.44 83.68 0.87 0.90 16 6 N -0.49 -3.50 11.30 -194.10 -2.19 -5.69 16 7 C 0.22 1.32 7.59 134.18 1.02 2.34 16 8 C -0.08 -0.20 6.24 22.42 0.14 -0.06 16 9 Br 0.01 0.01 33.72 -20.37 -0.69 -0.67 16 10 C -0.03 0.07 9.26 22.55 0.21 0.28 16 11 C -0.17 0.02 5.84 -20.35 -0.12 -0.10 16 12 C 0.58 0.51 7.73 86.70 0.67 1.18 16 13 O -0.56 -4.57 15.94 -4.03 -0.06 -4.63 16 14 N -0.70 3.53 5.03 -445.66 -2.24 1.29 16 15 C 0.15 -0.66 2.45 44.99 0.11 -0.55 16 16 H 0.08 -0.10 7.58 -2.39 -0.02 -0.12 16 17 C -0.12 0.92 5.39 30.59 0.16 1.08 16 18 C -0.12 0.65 5.24 30.60 0.16 0.81 16 19 C 0.18 -0.42 2.86 44.99 0.13 -0.29 16 20 H 0.08 -0.03 8.10 -2.39 -0.02 -0.05 16 21 N -0.98 2.46 3.14 -493.16 -1.55 0.91 16 22 C 0.07 -0.60 6.19 86.46 0.54 -0.06 16 23 C -0.12 1.42 6.61 31.54 0.21 1.63 16 24 C -0.56 4.99 7.67 72.86 0.56 5.55 16 25 S 2.54 3.95 6.16 -56.49 -0.35 3.60 16 26 O -0.99 -9.17 18.14 -127.81 -2.32 -11.48 16 27 O -1.00 -9.79 18.04 -127.81 -2.31 -12.10 16 28 C -0.12 0.36 5.25 30.61 0.16 0.52 16 29 C -0.13 0.35 5.50 30.61 0.17 0.52 16 30 C 0.16 0.32 9.91 83.65 0.83 1.15 16 31 N -0.36 -1.22 2.93 -337.70 -0.99 -2.21 16 32 H 0.39 -1.75 8.70 -74.06 -0.64 -2.40 16 33 H 0.14 -0.75 7.96 -2.39 -0.02 -0.77 16 34 H -0.29 -0.12 7.11 99.48 0.71 0.59 16 35 H -0.29 -0.36 7.11 99.48 0.71 0.34 16 36 H 0.23 -1.82 6.90 -2.91 -0.02 -1.84 16 37 H 0.18 -1.80 6.44 -2.91 -0.02 -1.82 16 38 H 0.41 -4.40 6.64 -92.71 -0.62 -5.02 16 39 H 0.08 -0.79 8.14 -2.39 -0.02 -0.81 16 40 H 0.09 -0.79 8.14 -2.39 -0.02 -0.81 16 41 H 0.08 -0.53 7.59 -2.39 -0.02 -0.55 16 42 H 0.07 -0.25 8.14 -2.39 -0.02 -0.27 16 43 H 0.09 -0.96 7.74 -2.39 -0.02 -0.98 16 44 H 0.09 -0.88 7.59 -2.38 -0.02 -0.89 16 45 H 0.14 -2.18 8.14 -2.38 -0.02 -2.20 16 46 H 0.10 -1.17 8.14 -2.39 -0.02 -1.19 16 47 H 0.16 -1.91 8.14 -2.39 -0.02 -1.93 16 48 H 0.16 -1.91 8.14 -2.39 -0.02 -1.93 16 49 H 0.08 -0.33 7.68 -2.39 -0.02 -0.35 16 50 H 0.07 -0.07 8.14 -2.39 -0.02 -0.09 16 51 H 0.06 0.07 8.14 -2.39 -0.02 0.05 16 52 H 0.07 -0.28 8.14 -2.39 -0.02 -0.30 16 53 H 0.19 0.47 6.18 -2.91 -0.02 0.45 16 Total: 0.00 -36.11 454.67 -6.11 -42.22 By element: Atomic # 1 Polarization: -22.68 SS G_CDS: -0.23 Total: -22.90 kcal Atomic # 6 Polarization: 9.20 SS G_CDS: 6.29 Total: 15.49 kcal Atomic # 7 Polarization: 1.28 SS G_CDS: -6.97 Total: -5.69 kcal Atomic # 8 Polarization: -23.37 SS G_CDS: -6.31 Total: -29.68 kcal Atomic # 14 Polarization: -4.51 SS G_CDS: 2.14 Total: -2.37 kcal Atomic # 16 Polarization: 3.95 SS G_CDS: -0.35 Total: 3.60 kcal Atomic # 35 Polarization: 0.01 SS G_CDS: -0.69 Total: -0.67 kcal Total: -36.11 -6.11 -42.22 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. m_22_16729364_12335884.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 12.601 kcal (2) G-P(sol) polarization free energy of solvation -36.106 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -23.505 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -6.114 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.220 kcal (6) G-S(sol) free energy of system = (1) + (5) -29.619 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.90 seconds