Wall clock time and date at job start Tue Mar 31 2020 20:36:14 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 1.52996 * 1 3 3 C 1.53002 * 109.47298 * 2 1 4 4 H 1.09004 * 109.47120 * 305.00301 * 3 2 1 5 5 C 1.53006 * 109.47291 * 185.00370 * 3 2 1 6 6 O 1.42901 * 109.47283 * 64.99905 * 3 2 1 7 7 C 1.35993 * 117.00086 * 203.54209 * 6 3 2 8 8 C 1.38701 * 119.98449 * 358.48321 * 7 6 3 9 9 C 1.38113 * 120.02202 * 180.23263 * 8 7 6 10 10 C 1.38861 * 119.97641 * 359.51128 * 9 8 7 11 11 N 1.39941 * 120.01988 * 180.22948 * 10 9 8 12 12 C 1.46508 * 119.99677 * 0.26099 * 11 10 9 13 13 C 1.52998 * 109.46887 * 179.97438 * 12 11 10 14 14 H 1.08996 * 109.47485 * 304.99632 * 13 12 11 15 15 O 1.42903 * 109.47122 * 65.00156 * 13 12 11 16 16 C 1.53003 * 109.47034 * 184.99725 * 13 12 11 17 17 N 1.46892 * 109.47397 * 174.99364 * 16 13 12 18 18 C 1.46903 * 111.00112 * 163.84427 * 17 16 13 19 19 C 1.46899 * 111.00256 * 287.79872 * 17 16 13 20 20 C 1.50699 * 109.47262 * 169.99529 * 19 17 16 21 21 H 1.07996 * 120.00087 * 0.02562 * 20 19 17 22 22 C 1.37882 * 119.99832 * 179.97438 * 20 19 17 23 23 N 1.31517 * 119.99955 * 0.02562 * 22 20 19 24 24 Si 1.86798 * 119.99753 * 180.02562 * 22 20 19 25 25 H 1.48494 * 109.47331 * 60.00039 * 24 22 20 26 26 H 1.48500 * 109.47023 * 180.02562 * 24 22 20 27 27 H 1.48504 * 109.47134 * 299.99922 * 24 22 20 28 28 C 1.38854 * 119.96342 * 0.48872 * 10 9 8 29 29 C 1.38112 * 119.98273 * 359.74830 * 28 10 9 30 30 H 1.09000 * 109.47291 * 180.02562 * 1 2 3 31 31 H 1.09002 * 109.46650 * 300.00226 * 1 2 3 32 32 H 1.08996 * 109.47067 * 59.99634 * 1 2 3 33 33 H 1.09006 * 109.47308 * 240.00400 * 2 1 3 34 34 H 1.09001 * 109.47409 * 120.00112 * 2 1 3 35 35 H 1.09007 * 109.46572 * 299.99708 * 5 3 2 36 36 H 1.08993 * 109.47099 * 59.99800 * 5 3 2 37 37 H 1.09000 * 109.46949 * 180.02562 * 5 3 2 38 38 H 1.08002 * 119.99003 * 359.95112 * 8 7 6 39 39 H 1.07992 * 120.00825 * 179.74401 * 9 8 7 40 40 H 0.96991 * 120.00498 * 180.25343 * 11 10 9 41 41 H 1.08997 * 109.46573 * 299.99732 * 12 11 10 42 42 H 1.09000 * 109.47164 * 59.99685 * 12 11 10 43 43 H 0.96695 * 114.00477 * 59.99508 * 15 13 12 44 44 H 1.09004 * 109.46981 * 295.00080 * 16 13 12 45 45 H 1.09004 * 109.46922 * 54.99273 * 16 13 12 46 46 H 1.08992 * 109.46974 * 55.93995 * 18 17 16 47 47 H 1.09006 * 109.46796 * 175.94167 * 18 17 16 48 48 H 1.09002 * 109.46735 * 295.93361 * 18 17 16 49 49 H 1.09001 * 109.47184 * 290.00000 * 19 17 16 50 50 H 1.09005 * 109.46489 * 49.99657 * 19 17 16 51 51 H 0.97001 * 119.99983 * 179.97438 * 23 22 20 52 52 H 1.08005 * 120.01455 * 179.72203 * 28 10 9 53 53 H 1.07998 * 119.98961 * 180.02562 * 29 28 10 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 1.4425 0.0000 4 1 1.6054 1.9816 -0.8418 5 6 3.5649 1.4443 -0.1258 6 8 1.6620 2.0814 1.2210 7 6 1.5818 3.4390 1.2084 8 6 1.8920 4.1410 0.0531 9 6 1.8155 5.5199 0.0409 10 6 1.4180 6.2029 1.1827 11 7 1.3355 7.5998 1.1699 12 6 1.6631 8.3417 -0.0503 13 6 1.4921 9.8409 0.2031 14 1 0.4850 10.0345 0.5722 15 8 2.4469 10.2716 1.1752 16 6 1.7127 10.6072 -1.1027 17 7 1.4317 12.0328 -0.8874 18 6 1.9865 12.8490 -1.9755 19 6 -0.0104 12.2681 -0.7355 20 6 -0.2427 13.6842 -0.2756 21 1 0.5969 14.3437 -0.1128 22 6 -1.5272 14.1383 -0.0636 23 7 -2.5497 13.3353 -0.2623 24 14 -1.8151 15.8939 0.5058 25 1 -1.2625 16.8372 -0.4992 26 1 -3.2729 16.1317 0.6594 27 1 -1.1389 16.1084 1.8104 28 6 1.1077 5.4994 2.3389 29 6 1.1894 4.1207 2.3508 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 1.8933 -0.5138 -0.8901 34 1 1.8934 -0.5138 0.8900 35 1 3.9995 0.9053 0.7161 36 1 3.8532 0.9570 -1.0571 37 1 3.9282 2.4720 -0.1254 38 1 2.1979 3.6094 -0.8359 39 1 2.0610 6.0665 -0.8576 40 1 1.0614 8.0769 1.9686 41 1 2.6951 8.1362 -0.3344 42 1 0.9961 8.0311 -0.8545 43 1 3.3667 10.1296 0.9130 44 1 2.7468 10.4853 -1.4253 45 1 1.0443 10.2170 -1.8703 46 1 1.5952 12.4966 -2.9298 47 1 1.7026 13.8912 -1.8290 48 1 3.0732 12.7650 -1.9749 49 1 -0.5070 12.1109 -1.6930 50 1 -0.4158 11.5753 0.0021 51 1 -3.4533 13.6547 -0.1129 52 1 0.8028 6.0300 3.2288 53 1 0.9477 3.5734 3.2499 RHF calculation, no. of doubly occupied orbitals= 65 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=-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 ZINC000819425524.mol2 53 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 20:36:14 Heat of formation + Delta-G solvation = -65.861695 kcal Electronic energy + Delta-G solvation = -28590.354234 eV Core-core repulsion = 24654.992049 eV Total energy + Delta-G solvation = -3935.362184 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -40.38071 -38.76270 -37.80068 -35.79216 -34.89260 -33.79728 -32.51438 -31.21425 -30.43314 -30.05947 -28.08954 -27.29128 -25.67212 -24.25355 -23.78515 -23.24176 -22.05428 -21.27093 -20.74927 -20.09421 -18.46086 -17.21338 -16.66712 -16.33445 -15.85115 -15.67440 -15.35809 -15.04660 -14.85992 -14.71646 -14.33465 -14.28058 -13.88829 -13.75199 -13.57899 -13.51102 -13.29932 -13.22257 -13.01386 -12.58420 -12.39082 -12.32440 -12.10638 -11.99551 -11.90125 -11.48561 -11.42934 -11.22982 -11.20816 -11.00344 -10.93438 -10.82794 -10.68735 -10.60422 -10.37343 -9.80179 -9.72185 -9.50640 -9.19347 -9.03591 -8.43954 -7.26355 -7.08644 -6.03783 -4.04638 1.30156 1.63732 3.11431 3.33440 3.37409 3.40656 3.46704 3.82543 4.32998 4.40863 4.54491 4.59867 4.65366 4.75592 4.81119 4.83304 4.94846 5.11368 5.18858 5.21339 5.23504 5.27220 5.30129 5.34095 5.43163 5.44967 5.51256 5.58251 5.59992 5.61340 5.67001 5.73782 5.79319 5.91783 5.94839 5.96128 6.08494 6.11061 6.27428 6.28326 6.36571 6.38030 6.62564 6.69424 7.21053 7.27857 7.29682 7.49062 7.76627 7.81320 7.98892 8.05535 8.16706 8.51987 9.02227 9.59304 11.07157 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.020277 B = 0.001786 C = 0.001738 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1380.524086 B =15673.440569 C =16102.090271 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.118 4.118 3 C 0.082 3.918 4 H 0.071 0.929 5 C -0.181 4.181 6 O -0.313 6.313 7 C 0.066 3.934 8 C -0.159 4.159 9 C -0.164 4.164 10 C 0.191 3.809 11 N -0.740 5.740 12 C 0.096 3.904 13 C 0.103 3.897 14 H 0.111 0.889 15 O -0.540 6.540 16 C 0.029 3.971 17 N -0.531 5.531 18 C 0.038 3.962 19 C 0.192 3.808 20 C -0.506 4.506 21 H 0.063 0.937 22 C 0.054 3.946 23 N -0.900 5.900 24 Si 0.899 3.101 25 H -0.277 1.277 26 H -0.288 1.288 27 H -0.276 1.276 28 C -0.159 4.159 29 C -0.102 4.102 30 H 0.055 0.945 31 H 0.062 0.938 32 H 0.053 0.947 33 H 0.078 0.922 34 H 0.072 0.928 35 H 0.065 0.935 36 H 0.068 0.932 37 H 0.063 0.937 38 H 0.124 0.876 39 H 0.121 0.879 40 H 0.405 0.595 41 H 0.058 0.942 42 H 0.064 0.936 43 H 0.364 0.636 44 H 0.063 0.937 45 H 0.033 0.967 46 H 0.008 0.992 47 H 0.077 0.923 48 H 0.044 0.956 49 H -0.011 1.011 50 H 0.031 0.969 51 H 0.262 0.738 52 H 0.127 0.873 53 H 0.126 0.874 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.939 -25.022 -0.927 27.324 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 -0.211 4.211 2 C -0.155 4.155 3 C 0.025 3.975 4 H 0.089 0.911 5 C -0.238 4.238 6 O -0.228 6.228 7 C 0.020 3.980 8 C -0.179 4.179 9 C -0.187 4.187 10 C 0.087 3.913 11 N -0.371 5.371 12 C -0.030 4.030 13 C 0.043 3.957 14 H 0.129 0.871 15 O -0.343 6.343 16 C -0.101 4.101 17 N -0.256 5.256 18 C -0.111 4.111 19 C 0.067 3.933 20 C -0.545 4.545 21 H 0.081 0.919 22 C -0.147 4.147 23 N -0.539 5.539 24 Si 0.727 3.273 25 H -0.203 1.203 26 H -0.214 1.214 27 H -0.201 1.201 28 C -0.181 4.181 29 C -0.121 4.121 30 H 0.074 0.926 31 H 0.082 0.918 32 H 0.072 0.928 33 H 0.097 0.903 34 H 0.091 0.909 35 H 0.084 0.916 36 H 0.087 0.913 37 H 0.083 0.917 38 H 0.142 0.858 39 H 0.139 0.861 40 H 0.241 0.759 41 H 0.076 0.924 42 H 0.082 0.918 43 H 0.210 0.790 44 H 0.081 0.919 45 H 0.051 0.949 46 H 0.027 0.973 47 H 0.096 0.904 48 H 0.063 0.937 49 H 0.007 0.993 50 H 0.048 0.952 51 H 0.071 0.929 52 H 0.145 0.855 53 H 0.144 0.856 Dipole moment (debyes) X Y Z Total from point charges 10.432 -24.754 -0.192 26.864 hybrid contribution -0.256 0.776 -0.881 1.202 sum 10.176 -23.978 -1.073 26.070 Atomic orbital electron populations 1.21755 0.95109 1.01722 1.02524 1.21613 0.96871 0.94101 1.02942 1.22397 0.94709 0.93772 0.86591 0.91141 1.22377 0.95608 1.03142 1.02670 1.86079 1.84770 1.16714 1.35212 1.18671 1.02342 0.82294 0.94707 1.20981 1.04946 0.94431 0.97500 1.20430 1.06924 0.93577 0.97723 1.17795 0.95681 0.83962 0.93819 1.44593 1.75763 1.02158 1.14541 1.22050 1.00024 0.93052 0.87865 1.22158 0.94924 0.88648 0.89950 0.87132 1.86680 1.17725 1.85991 1.43945 1.22596 1.00057 0.91884 0.95563 1.62037 1.18912 1.02422 1.42180 1.22222 0.97521 0.99971 0.91376 1.19778 0.80452 0.97658 0.95449 1.21107 0.92051 0.96703 1.44637 0.91891 1.24993 0.96050 0.97904 0.95721 1.69945 0.98654 1.35730 1.49583 0.86546 0.76864 0.84550 0.79365 1.20308 1.21379 1.20119 1.20429 1.06968 0.93187 0.97546 1.20113 1.02205 0.93025 0.96806 0.92589 0.91846 0.92822 0.90325 0.90918 0.91567 0.91308 0.91747 0.85798 0.86086 0.75946 0.92432 0.91764 0.79001 0.91860 0.94866 0.97300 0.90403 0.93698 0.99329 0.95150 0.92879 0.85537 0.85576 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.15 -1.05 9.81 37.16 0.36 -0.69 16 2 C -0.12 -0.76 5.64 -26.73 -0.15 -0.91 16 3 C 0.08 0.65 2.24 -26.73 -0.06 0.59 16 4 H 0.07 0.55 6.20 -51.93 -0.32 0.22 16 5 C -0.18 -1.24 9.18 37.16 0.34 -0.90 16 6 O -0.31 -3.35 9.34 -19.72 -0.18 -3.53 16 7 C 0.07 0.75 6.58 -39.24 -0.26 0.49 16 8 C -0.16 -1.73 8.23 -39.46 -0.32 -2.06 16 9 C -0.16 -1.90 9.31 -39.40 -0.37 -2.27 16 10 C 0.19 2.35 6.66 -83.70 -0.56 1.79 16 11 N -0.74 -9.19 5.69 -58.58 -0.33 -9.52 16 12 C 0.10 1.16 4.55 -4.04 -0.02 1.15 16 13 C 0.10 1.57 3.06 -26.73 -0.08 1.49 16 14 H 0.11 2.05 6.46 -51.93 -0.34 1.71 16 15 O -0.54 -8.44 13.23 -35.23 -0.47 -8.91 16 16 C 0.03 0.47 4.61 -3.83 -0.02 0.46 16 17 N -0.53 -11.15 4.66 -244.37 -1.14 -12.29 16 18 C 0.04 0.72 9.39 60.07 0.56 1.28 16 19 C 0.19 4.92 4.57 -4.98 -0.02 4.90 16 20 C -0.51 -14.24 8.40 -34.44 -0.29 -14.53 16 21 H 0.06 1.76 7.16 -52.49 -0.38 1.38 16 22 C 0.05 1.55 5.46 -17.82 -0.10 1.45 16 23 N -0.90 -26.68 13.29 55.43 0.74 -25.95 16 24 Si 0.90 21.75 29.54 -169.99 -5.02 16.73 16 25 H -0.28 -6.57 7.11 56.52 0.40 -6.16 16 26 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 27 H -0.28 -6.62 7.11 56.52 0.40 -6.22 16 28 C -0.16 -1.84 9.89 -39.40 -0.39 -2.23 16 29 C -0.10 -1.16 9.98 -39.46 -0.39 -1.56 16 30 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 31 H 0.06 0.52 7.82 -51.93 -0.41 0.12 16 32 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 33 H 0.08 0.37 8.14 -51.93 -0.42 -0.05 16 34 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 36 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 37 H 0.06 0.50 7.03 -51.93 -0.36 0.13 16 38 H 0.12 1.12 5.50 -52.49 -0.29 0.83 16 39 H 0.12 1.28 6.73 -52.49 -0.35 0.93 16 40 H 0.40 5.13 8.49 -40.82 -0.35 4.78 16 41 H 0.06 0.62 7.94 -51.93 -0.41 0.20 16 42 H 0.06 0.78 7.96 -51.93 -0.41 0.37 16 43 H 0.36 4.30 9.05 45.56 0.41 4.71 16 44 H 0.06 0.87 7.99 -51.93 -0.42 0.46 16 45 H 0.03 0.55 8.05 -51.93 -0.42 0.13 16 46 H 0.01 0.16 8.14 -51.93 -0.42 -0.27 16 47 H 0.08 1.61 6.68 -51.93 -0.35 1.26 16 48 H 0.04 0.72 8.14 -51.93 -0.42 0.30 16 49 H -0.01 -0.30 8.12 -51.93 -0.42 -0.73 16 50 H 0.03 0.83 6.35 -51.93 -0.33 0.50 16 51 H 0.26 7.37 8.31 -40.82 -0.34 7.03 16 52 H 0.13 1.29 8.06 -52.48 -0.42 0.87 16 53 H 0.13 1.25 8.06 -52.49 -0.42 0.83 16 LS Contribution 421.68 15.07 6.35 6.35 Total: -1.00 -31.63 421.68 -10.31 -41.94 By element: Atomic # 1 Polarization: 15.20 SS G_CDS: -8.50 Total: 6.71 kcal Atomic # 6 Polarization: -9.78 SS G_CDS: -1.76 Total: -11.54 kcal Atomic # 7 Polarization: -47.03 SS G_CDS: -0.73 Total: -47.76 kcal Atomic # 8 Polarization: -11.79 SS G_CDS: -0.65 Total: -12.44 kcal Atomic # 14 Polarization: 21.75 SS G_CDS: -5.02 Total: 16.73 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -31.63 -10.31 -41.94 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. ZINC000819425524.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 -23.919 kcal (2) G-P(sol) polarization free energy of solvation -31.634 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -55.553 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.309 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.943 kcal (6) G-S(sol) free energy of system = (1) + (5) -65.862 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.80 seconds