Wall clock time and date at job start Tue Mar 9 2021 12:52:37 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 C 2 2 O 1.42902 * 1 3 3 C 1.35996 * 116.99712 * 2 1 4 4 C 1.39156 * 120.06825 * 179.97438 * 3 2 1 5 5 O 1.35992 * 120.07529 * 359.95664 * 4 3 2 6 6 C 1.42896 * 117.00109 * 179.97438 * 5 4 3 7 7 C 1.50700 * 109.47293 * 179.97438 * 6 5 4 8 8 O 1.21279 * 120.00113 * 0.02562 * 7 6 5 9 9 N 1.34784 * 119.99961 * 179.97438 * 7 6 5 10 10 C 1.46494 * 119.99635 * 180.02562 * 9 7 6 11 11 H 1.08995 * 112.85546 * 23.80497 * 10 9 7 12 12 C 1.53782 * 113.61176 * 155.00482 * 10 9 7 13 13 C 1.53779 * 87.08415 * 89.11507 * 12 10 9 14 14 H 1.08998 * 113.61131 * 270.88162 * 13 12 10 15 15 C 1.50697 * 113.61203 * 140.06550 * 13 12 10 16 16 C 1.38209 * 120.00268 * 299.99294 * 15 13 12 17 17 C 1.38258 * 120.00056 * 179.97438 * 16 15 13 18 18 C 1.38213 * 120.00123 * 0.02562 * 17 16 15 19 19 C 1.38258 * 120.00014 * 359.97438 * 18 17 16 20 20 C 1.50696 * 120.00042 * 180.02562 * 19 18 17 21 21 C 1.38218 * 119.99692 * 359.75683 * 19 18 17 22 22 C 1.53783 * 87.07964 * 25.43304 * 13 12 10 23 23 C 1.38564 * 119.85339 * 180.22930 * 4 3 2 24 24 C 1.38256 * 119.99547 * 359.47525 * 23 4 3 25 25 N 1.48003 * 119.92237 * 180.27395 * 24 23 4 26 26 O 1.21801 * 120.00605 * 0.27650 * 25 24 23 27 27 O 1.21802 * 119.99291 * 180.27381 * 25 24 23 28 28 C 1.38248 * 120.14495 * 0.54739 * 24 23 4 29 29 C 1.50704 * 119.92608 * 179.72751 * 28 24 23 30 30 O 1.42898 * 109.47167 * 74.97606 * 29 28 24 31 31 Si 1.86295 * 109.46980 * 194.97972 * 29 28 24 32 32 C 1.38246 * 120.14940 * 359.70469 * 28 24 23 33 33 H 1.08997 * 109.47427 * 299.99837 * 1 2 3 34 34 H 1.08996 * 109.47124 * 60.00191 * 1 2 3 35 35 H 1.08999 * 109.47213 * 180.02562 * 1 2 3 36 36 H 1.09004 * 109.47379 * 59.99706 * 6 5 4 37 37 H 1.08997 * 109.47194 * 300.00215 * 6 5 4 38 38 H 0.96995 * 120.00015 * 359.72695 * 9 7 6 39 39 H 1.09009 * 113.61196 * 203.66403 * 12 10 9 40 40 H 1.08999 * 113.61212 * 334.47478 * 12 10 9 41 41 H 1.07998 * 119.99846 * 0.02562 * 16 15 13 42 42 H 1.07996 * 120.00251 * 180.02562 * 17 16 15 43 43 H 1.08002 * 120.00189 * 180.02562 * 18 17 16 44 44 H 1.09003 * 109.47113 * 90.00848 * 20 19 18 45 45 H 1.09000 * 109.47534 * 210.00121 * 20 19 18 46 46 H 1.08998 * 109.47624 * 330.00753 * 20 19 18 47 47 H 1.08006 * 119.99431 * 180.27341 * 21 19 18 48 48 H 1.09003 * 113.60957 * 220.02254 * 22 13 12 49 49 H 1.08998 * 113.61171 * 89.12181 * 22 13 12 50 50 H 1.08000 * 120.00680 * 179.72163 * 23 4 3 51 51 H 1.09003 * 109.46849 * 314.97757 * 29 28 24 52 52 H 0.96705 * 113.99509 * 60.00198 * 30 29 28 53 53 H 1.48500 * 110.00289 * 58.68080 * 31 29 28 54 54 H 1.48501 * 110.00050 * 179.97438 * 31 29 28 55 55 H 1.07996 * 120.00078 * 179.97438 * 32 28 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 3.4359 1.2863 0.0005 5 8 4.1795 0.1477 0.0020 6 6 5.6003 0.3007 0.0019 7 6 6.2518 -1.0582 0.0042 8 8 5.5670 -2.0591 0.0053 9 7 7.5957 -1.1612 0.0040 10 6 8.2291 -2.4821 0.0057 11 1 7.5834 -3.2617 -0.3985 12 6 9.6468 -2.4863 -0.5901 13 6 10.1585 -2.1803 0.8274 14 1 10.2147 -1.1149 1.0508 15 6 11.4209 -2.9209 1.1864 16 6 11.4355 -4.3029 1.1850 17 6 12.5938 -4.9823 1.5139 18 6 13.7370 -4.2795 1.8445 19 6 13.7225 -2.8970 1.8459 20 6 14.9691 -2.1307 2.2059 21 6 12.5660 -2.2178 1.5118 22 6 8.8779 -2.8526 1.3498 23 6 4.0603 2.5233 0.0053 24 6 3.3029 3.6799 -0.0014 25 7 3.9715 5.0003 -0.0024 26 8 5.1876 5.0672 -0.0023 27 8 3.3054 6.0201 -0.0032 28 6 1.9224 3.6057 -0.0015 29 6 1.1015 4.8696 -0.0026 30 8 1.1351 5.4583 -1.3043 31 14 -0.6597 4.4666 0.4515 32 6 1.2931 2.3748 -0.0010 33 1 -0.3634 0.5138 0.8900 34 1 -0.3633 0.5138 -0.8900 35 1 -0.3633 -1.0276 0.0005 36 1 5.9065 0.8516 0.8912 37 1 5.9065 0.8494 -0.8887 38 1 8.1435 -0.3607 -0.0017 39 1 9.9594 -3.4604 -0.9664 40 1 9.8232 -1.6807 -1.3029 41 1 10.5423 -4.8521 0.9262 42 1 12.6053 -6.0622 1.5124 43 1 14.6420 -4.8103 2.1010 44 1 15.5525 -1.9419 1.3047 45 1 14.6925 -1.1816 2.6650 46 1 15.5643 -2.7143 2.9083 47 1 12.5559 -1.1378 1.5086 48 1 8.4340 -2.3417 2.2043 49 1 8.9804 -3.9267 1.5040 50 1 5.1386 2.5840 0.0103 51 1 1.5128 5.5705 0.7239 52 1 0.7835 4.8890 -2.0025 53 1 -0.7050 3.8248 1.7899 54 1 -1.4795 5.7048 0.4546 55 1 0.2146 2.3196 -0.0007 There are 79 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 79 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). 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 s_22_9650858_4549636.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 12:52:37 Heat of formation + Delta-G solvation = -44.605235 kcal Electronic energy + Delta-G solvation = -40880.367778 eV Core-core repulsion = 35433.880500 eV Total energy + Delta-G solvation = -5446.487278 eV No. of doubly occupied orbitals = 79 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 429.176 amu Computer time = 1.22 seconds Orbital eigenvalues (eV) -43.40573 -42.13926 -41.61327 -40.62839 -39.73035 -39.23462 -38.75222 -37.73450 -37.13045 -34.88069 -33.37753 -32.68204 -32.55935 -31.92269 -29.83344 -28.75422 -27.91981 -27.77596 -26.69253 -26.21674 -25.68262 -23.94861 -23.23542 -23.06163 -22.28774 -21.83331 -20.78447 -19.93516 -19.79205 -19.51332 -18.80484 -18.68012 -18.34295 -17.90478 -17.74807 -17.48006 -17.36823 -16.93051 -16.85580 -16.43600 -16.32968 -16.09772 -16.04471 -15.67576 -15.61457 -15.19070 -14.93943 -14.81942 -14.72508 -14.42647 -14.36087 -14.05775 -13.94948 -13.89735 -13.72097 -13.48544 -13.45839 -13.04195 -13.02681 -12.81965 -12.68404 -12.67163 -12.49635 -12.44028 -12.33301 -12.27710 -12.21467 -12.15059 -11.78587 -11.71633 -11.65229 -11.18846 -11.11278 -10.53781 -10.46213 -10.21060 -9.67614 -9.49604 -9.44423 -5.13737 -1.36997 -0.43904 0.15823 0.30087 0.42102 0.48578 1.12682 1.21406 1.35458 1.57131 1.88940 1.89910 1.93727 2.31293 2.78925 2.97608 3.16874 3.26523 3.43915 3.45451 3.49897 3.55767 3.65798 3.69672 3.86980 3.91888 3.93391 3.95785 4.01071 4.05386 4.07081 4.11093 4.19306 4.22408 4.26326 4.39198 4.41676 4.49120 4.54466 4.54965 4.62710 4.72837 4.75247 4.75872 4.79747 4.82121 4.82971 4.91379 4.99560 5.02526 5.11865 5.19089 5.24656 5.30389 5.46134 5.58658 5.58935 5.70973 5.74516 6.05746 6.13852 6.36452 6.46206 6.71376 7.05205 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.005 4.005 2 O -0.307 6.307 3 C 0.171 3.829 4 C 0.100 3.900 5 O -0.290 6.290 6 C 0.027 3.973 7 C 0.519 3.481 8 O -0.564 6.564 9 N -0.692 5.692 10 C 0.118 3.882 11 H 0.087 0.913 12 C -0.123 4.123 13 C -0.066 4.066 14 H 0.112 0.888 15 C -0.073 4.073 16 C -0.134 4.134 17 C -0.125 4.125 18 C -0.142 4.142 19 C -0.097 4.097 20 C -0.116 4.116 21 C -0.129 4.129 22 C -0.143 4.143 23 C -0.110 4.110 24 C -0.046 4.046 25 N 0.036 4.964 26 O -0.186 6.186 27 O -0.166 6.166 28 C -0.040 4.040 29 C -0.092 4.092 30 O -0.536 6.536 31 Si 0.787 3.213 32 C -0.163 4.163 33 H 0.080 0.920 34 H 0.094 0.906 35 H 0.121 0.879 36 H 0.128 0.872 37 H 0.130 0.870 38 H 0.421 0.579 39 H 0.098 0.902 40 H 0.091 0.909 41 H 0.131 0.869 42 H 0.132 0.868 43 H 0.128 0.872 44 H 0.075 0.925 45 H 0.072 0.928 46 H 0.069 0.931 47 H 0.133 0.867 48 H 0.068 0.932 49 H 0.094 0.906 50 H 0.183 0.817 51 H 0.115 0.885 52 H 0.393 0.607 53 H -0.272 1.272 54 H -0.290 1.290 55 H 0.194 0.806 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.237 -3.448 -1.621 4.006 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 -0.098 4.098 2 O -0.219 6.219 3 C 0.122 3.878 4 C 0.053 3.947 5 O -0.203 6.203 6 C -0.051 4.051 7 C 0.305 3.695 8 O -0.442 6.442 9 N -0.346 5.346 10 C 0.013 3.987 11 H 0.105 0.895 12 C -0.161 4.161 13 C -0.084 4.084 14 H 0.130 0.870 15 C -0.073 4.073 16 C -0.152 4.152 17 C -0.143 4.143 18 C -0.160 4.160 19 C -0.097 4.097 20 C -0.172 4.172 21 C -0.147 4.147 22 C -0.181 4.181 23 C -0.129 4.129 24 C -0.131 4.131 25 N 0.549 4.451 26 O -0.397 6.397 27 O -0.380 6.380 28 C -0.042 4.042 29 C -0.200 4.200 30 O -0.343 6.343 31 Si 0.689 3.311 32 C -0.181 4.181 33 H 0.098 0.902 34 H 0.112 0.888 35 H 0.139 0.861 36 H 0.145 0.855 37 H 0.148 0.852 38 H 0.259 0.741 39 H 0.116 0.884 40 H 0.109 0.891 41 H 0.149 0.851 42 H 0.150 0.850 43 H 0.146 0.854 44 H 0.094 0.906 45 H 0.091 0.909 46 H 0.088 0.912 47 H 0.151 0.849 48 H 0.087 0.913 49 H 0.113 0.887 50 H 0.200 0.800 51 H 0.132 0.868 52 H 0.242 0.758 53 H -0.198 1.198 54 H -0.217 1.217 55 H 0.210 0.790 Dipole moment (debyes) X Y Z Total from point charges -2.381 -4.573 -0.738 5.209 hybrid contribution 1.368 1.083 0.390 1.788 sum -1.013 -3.490 -0.348 3.651 Atomic orbital electron populations 1.23819 0.74672 1.07102 1.04211 1.86336 1.24878 1.24494 1.86175 1.18677 0.89152 0.86398 0.93535 1.17963 0.88831 0.85090 1.02804 1.86299 1.18421 1.26817 1.88729 1.22905 0.78849 0.95961 1.07351 1.20310 0.82951 0.90450 0.75753 1.90783 1.63871 1.39792 1.49747 1.45349 1.05115 1.09725 1.74421 1.21841 0.94126 0.85128 0.97647 0.89526 1.23361 0.92421 1.04209 0.96134 1.21605 0.90295 0.99940 0.96566 0.86953 1.19844 0.95097 0.93675 0.98682 1.21196 0.98618 0.94195 1.01177 1.21386 0.93149 1.00713 0.99065 1.21302 0.99041 0.94068 1.01550 1.20230 0.96435 0.94241 0.98830 1.20836 0.94365 0.99979 1.02058 1.21182 0.92317 1.00440 1.00759 1.23550 0.95363 1.01971 0.97237 1.20906 1.03007 0.88146 1.00890 1.20561 0.92772 0.81916 1.17823 1.43719 1.00822 1.03441 0.97150 1.94501 0.96517 1.94122 1.54545 1.94578 1.64401 1.25429 1.53573 1.20229 0.91064 0.97673 0.95245 1.25770 1.10617 0.92768 0.90796 1.86671 1.87120 1.44589 1.15922 0.94395 0.71760 0.82168 0.82793 1.21080 1.01769 0.88079 1.07196 0.90191 0.88775 0.86060 0.85480 0.85238 0.74088 0.88355 0.89087 0.85103 0.84999 0.85383 0.90646 0.90882 0.91183 0.84892 0.91286 0.88730 0.79954 0.86819 0.75795 1.19786 1.21748 0.78962 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 C 0.00 0.05 9.81 113.37 1.11 1.16 16 2 O -0.31 0.17 10.28 -79.63 -0.82 -0.65 16 3 C 0.17 -0.23 6.70 22.57 0.15 -0.07 16 4 C 0.10 0.03 6.70 22.57 0.15 0.18 16 5 O -0.29 -0.86 9.45 -67.05 -0.63 -1.49 16 6 C 0.03 -0.13 5.22 71.24 0.37 0.25 16 7 C 0.52 0.56 7.91 87.66 0.69 1.25 16 8 O -0.56 -6.95 16.10 16.01 0.26 -6.70 16 9 N -0.69 3.59 5.26 -440.04 -2.32 1.28 16 10 C 0.12 -0.33 4.32 45.52 0.20 -0.13 16 11 H 0.09 0.18 7.46 -2.39 -0.02 0.16 16 12 C -0.12 0.72 7.29 31.12 0.23 0.95 16 13 C -0.07 0.32 3.85 -11.01 -0.04 0.28 16 14 H 0.11 -0.88 8.09 -2.39 -0.02 -0.90 16 15 C -0.07 0.04 5.29 -19.87 -0.11 -0.07 16 16 C -0.13 -0.06 8.61 22.27 0.19 0.14 16 17 C -0.13 -0.17 10.05 22.27 0.22 0.05 16 18 C -0.14 -0.27 9.70 22.27 0.22 -0.05 16 19 C -0.10 -0.14 5.88 -19.87 -0.12 -0.26 16 20 C -0.12 0.25 10.01 71.23 0.71 0.96 16 21 C -0.13 -0.04 9.37 22.27 0.21 0.17 16 22 C -0.14 0.41 7.26 31.12 0.23 0.63 16 23 C -0.11 0.09 8.54 22.35 0.19 0.28 16 24 C -0.05 -0.15 6.85 36.39 0.25 0.10 16 25 N 0.04 0.34 4.45 -46.46 -0.21 0.13 16 26 O -0.19 -1.95 18.44 18.88 0.35 -1.60 16 27 O -0.17 -2.12 14.62 25.10 0.37 -1.76 16 28 C -0.04 0.03 5.26 -19.86 -0.10 -0.08 16 29 C -0.09 0.00 1.74 71.24 0.12 0.13 16 30 O -0.54 -0.57 11.80 -129.62 -1.53 -2.10 16 31 Si 0.79 -4.26 29.91 68.60 2.05 -2.20 16 32 C -0.16 0.88 7.65 22.35 0.17 1.05 16 33 H 0.08 -1.06 7.66 -2.39 -0.02 -1.07 16 34 H 0.09 -1.45 7.66 -2.39 -0.02 -1.47 16 35 H 0.12 -1.42 8.14 -2.39 -0.02 -1.44 16 36 H 0.13 -1.33 7.65 -2.38 -0.02 -1.34 16 37 H 0.13 -1.39 7.68 -2.39 -0.02 -1.41 16 38 H 0.42 -5.13 8.70 -92.71 -0.81 -5.94 16 39 H 0.10 -0.49 7.72 -2.38 -0.02 -0.51 16 40 H 0.09 -0.73 8.14 -2.39 -0.02 -0.75 16 41 H 0.13 -0.30 6.67 -2.91 -0.02 -0.32 16 42 H 0.13 -0.23 8.06 -2.91 -0.02 -0.25 16 43 H 0.13 -0.09 8.06 -2.91 -0.02 -0.11 16 44 H 0.07 -0.23 8.14 -2.39 -0.02 -0.25 16 45 H 0.07 -0.25 8.09 -2.39 -0.02 -0.27 16 46 H 0.07 -0.20 8.09 -2.39 -0.02 -0.22 16 47 H 0.13 -0.42 8.06 -2.91 -0.02 -0.44 16 48 H 0.07 -0.10 8.14 -2.39 -0.02 -0.12 16 49 H 0.09 -0.22 6.32 -2.39 -0.02 -0.23 16 50 H 0.18 -0.98 5.85 -2.91 -0.02 -1.00 16 51 H 0.11 0.55 6.07 -2.39 -0.01 0.53 16 52 H 0.39 -3.52 8.70 -74.05 -0.64 -4.16 16 53 H -0.27 0.55 7.11 99.48 0.71 1.26 16 54 H -0.29 -0.77 7.11 99.48 0.71 -0.07 16 55 H 0.19 -2.45 3.36 -2.91 -0.01 -2.46 16 Total: 0.00 -33.08 455.05 2.14 -30.94 By element: Atomic # 1 Polarization: -22.34 SS G_CDS: -0.43 Total: -22.77 kcal Atomic # 6 Polarization: 1.87 SS G_CDS: 5.05 Total: 6.92 kcal Atomic # 7 Polarization: 3.93 SS G_CDS: -2.52 Total: 1.41 kcal Atomic # 8 Polarization: -12.28 SS G_CDS: -2.01 Total: -14.28 kcal Atomic # 14 Polarization: -4.26 SS G_CDS: 2.05 Total: -2.20 kcal Total: -33.08 2.14 -30.94 kcal The number of atoms in the molecule is 55 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_9650858_4549636.mol2 55 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 -13.668 kcal (2) G-P(sol) polarization free energy of solvation -33.078 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -46.746 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.141 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -30.937 kcal (6) G-S(sol) free energy of system = (1) + (5) -44.605 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.22 seconds