Wall clock time and date at job start Sat Apr 11 2020 06:10:25 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 1.52990 * 1 3 3 O 1.45196 * 109.47408 * 2 1 4 4 C 1.34229 * 117.00728 * 179.97438 * 3 2 1 5 5 O 1.20830 * 119.99584 * 0.02562 * 4 3 2 6 6 C 1.50697 * 120.00505 * 179.97438 * 4 3 2 7 7 H 1.09001 * 109.46712 * 60.00703 * 6 4 3 8 8 C 1.52994 * 109.47338 * 300.00490 * 6 4 3 9 9 C 1.52997 * 109.47361 * 179.97438 * 8 6 4 10 10 C 1.53008 * 109.46950 * 59.99954 * 9 8 6 11 11 C 1.52999 * 109.46915 * 299.99916 * 10 9 8 12 12 C 1.52996 * 109.47422 * 180.02562 * 6 4 3 13 13 H 1.09009 * 109.47314 * 300.00772 * 12 6 4 14 14 N 1.46908 * 109.46853 * 59.99938 * 12 6 4 15 15 C 1.46899 * 110.99992 * 204.99833 * 14 12 6 16 16 C 1.50697 * 109.47180 * 180.02562 * 15 14 12 17 17 O 1.21290 * 119.99894 * 359.97438 * 16 15 14 18 18 N 1.34772 * 120.00198 * 180.02562 * 16 15 14 19 19 C 1.46499 * 119.99867 * 359.97438 * 18 16 15 20 20 C 1.52997 * 109.47186 * 269.99805 * 19 18 16 21 21 C 1.46506 * 120.00199 * 179.97438 * 18 16 15 22 22 C 1.50696 * 109.46871 * 89.99405 * 21 18 16 23 23 H 1.07999 * 120.00319 * 0.02562 * 22 21 18 24 24 C 1.37885 * 119.99717 * 180.02562 * 22 21 18 25 25 N 1.31516 * 119.99913 * 180.02562 * 24 22 21 26 26 Si 1.86798 * 119.99766 * 0.02562 * 24 22 21 27 27 H 1.48500 * 109.47353 * 269.99586 * 26 24 22 28 28 H 1.48501 * 109.47293 * 30.00037 * 26 24 22 29 29 H 1.48504 * 109.46680 * 149.99835 * 26 24 22 30 30 H 1.09001 * 109.47375 * 59.99846 * 1 2 3 31 31 H 1.09004 * 109.47454 * 180.02562 * 1 2 3 32 32 H 1.09001 * 109.47504 * 300.00020 * 1 2 3 33 33 H 1.09001 * 109.47504 * 239.99980 * 2 1 3 34 34 H 1.09001 * 109.47375 * 120.00154 * 2 1 3 35 35 H 1.09001 * 109.47200 * 59.99802 * 8 6 4 36 36 H 1.09001 * 109.47393 * 299.99796 * 8 6 4 37 37 H 1.09003 * 109.47478 * 300.00342 * 9 8 6 38 38 H 1.09001 * 109.47706 * 179.97438 * 9 8 6 39 39 H 1.09003 * 109.46957 * 180.02562 * 10 9 8 40 40 H 1.08991 * 109.46910 * 60.00305 * 10 9 8 41 41 H 1.09001 * 109.47289 * 300.00332 * 11 10 9 42 42 H 1.09001 * 109.46989 * 179.97438 * 11 10 9 43 43 H 1.00899 * 110.99882 * 328.95781 * 14 12 6 44 44 H 1.09007 * 109.46756 * 60.00567 * 15 14 12 45 45 H 1.08999 * 109.47382 * 300.00379 * 15 14 12 46 46 H 1.08994 * 109.47418 * 30.00487 * 19 18 16 47 47 H 1.09004 * 109.47077 * 150.00105 * 19 18 16 48 48 H 1.09003 * 109.47333 * 300.00653 * 20 19 18 49 49 H 1.09004 * 109.46868 * 60.00171 * 20 19 18 50 50 H 1.09000 * 109.47464 * 179.97438 * 20 19 18 51 51 H 1.09005 * 109.46943 * 329.99725 * 21 18 16 52 52 H 1.09002 * 109.47064 * 209.99988 * 21 18 16 53 53 H 0.97001 * 119.99646 * 179.97438 * 25 24 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 6 1.5299 0.0000 0.0000 3 8 2.0140 1.3689 0.0000 4 6 3.3447 1.5449 0.0005 5 8 4.0807 0.5866 0.0005 6 6 3.9207 2.9374 0.0000 7 1 3.5844 3.4700 0.8896 8 6 3.4497 3.6837 -1.2498 9 6 4.0339 5.0977 -1.2500 10 6 5.5620 5.0181 -1.2490 11 6 6.0329 4.2719 0.0008 12 6 5.4485 2.8574 0.0001 13 1 5.7845 2.3255 0.8903 14 7 5.9013 2.1397 -1.1991 15 6 7.2184 1.5271 -0.9800 16 6 7.6492 0.8021 -2.2289 17 8 6.9296 0.7959 -3.2052 18 7 8.8336 0.1597 -2.2606 19 6 9.7025 0.1668 -1.0812 20 6 10.6440 1.3710 -1.1485 21 6 9.2521 -0.5456 -3.4746 22 6 10.0248 0.3963 -4.3616 23 1 10.1882 1.4179 -4.0519 24 6 10.5232 -0.0463 -5.5686 25 7 11.1980 0.7755 -6.3425 26 14 10.2400 -1.8132 -6.1046 27 1 11.3546 -2.6637 -5.6153 28 1 8.9578 -2.3030 -5.5376 29 1 10.1822 -1.8775 -7.5871 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 -0.3634 0.5138 0.8900 33 1 1.8933 -0.5138 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 2.3612 3.7407 -1.2503 36 1 3.7860 3.1511 -2.1394 37 1 3.6973 5.6301 -0.3605 38 1 3.6988 5.6293 -2.1407 39 1 5.9782 6.0255 -1.2488 40 1 5.8986 4.4858 -2.1386 41 1 5.6962 4.8043 0.8904 42 1 7.1214 4.2148 0.0013 43 1 5.2239 1.4484 -1.4841 44 1 7.1574 0.8206 -0.1521 45 1 7.9453 2.3037 -0.7421 46 1 9.0922 0.2327 -0.1806 47 1 10.2888 -0.7518 -1.0563 48 1 11.2544 1.3051 -2.0492 49 1 10.0577 2.2896 -1.1734 50 1 11.2902 1.3765 -0.2708 51 1 8.3720 -0.9062 -4.0070 52 1 9.8847 -1.3910 -3.2038 53 1 11.5489 0.4640 -7.1915 RHF calculation, no. of doubly occupied orbitals= 66 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 ZINC000451588135.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:10:25 Heat of formation + Delta-G solvation = -131.888427 kcal Electronic energy + Delta-G solvation = -31656.213122 eV Core-core repulsion = 27527.531752 eV Total energy + Delta-G solvation = -4128.681370 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.94 seconds Orbital eigenvalues (eV) -41.14739 -39.26839 -38.50357 -36.74065 -35.31505 -34.14755 -32.56630 -32.29685 -31.13801 -30.25672 -29.83974 -27.97854 -25.67565 -24.49350 -23.06935 -22.68766 -22.38145 -21.88682 -21.05295 -19.13296 -18.40899 -17.87418 -16.96659 -16.83381 -16.74920 -16.24175 -15.85220 -15.59537 -15.06396 -14.53941 -14.30497 -14.18762 -13.94449 -13.86374 -13.50448 -13.25453 -13.15464 -13.00979 -12.86488 -12.51223 -12.45352 -12.37137 -12.24572 -12.14067 -11.88611 -11.85957 -11.68533 -11.51264 -11.35351 -11.30246 -10.92450 -10.82670 -10.78795 -10.62795 -10.56045 -10.32846 -10.24413 -10.16540 -10.04446 -9.41309 -8.87261 -8.52440 -8.17767 -7.61354 -6.02040 -3.99332 1.97534 2.40295 3.31011 3.39106 3.44558 3.48112 3.77920 4.23706 4.34065 4.44756 4.45791 4.62084 4.67546 4.71239 4.91027 4.96879 5.06669 5.12435 5.14698 5.22358 5.29548 5.33191 5.34709 5.39090 5.44257 5.45298 5.55760 5.62461 5.64023 5.67052 5.78783 5.81036 5.85162 5.90921 6.04279 6.09703 6.16409 6.16728 6.21952 6.22834 6.37134 6.58661 6.71571 6.89045 7.00032 7.12977 7.46761 7.47424 7.61610 7.69419 8.37731 8.55416 9.02151 9.13214 9.59180 11.11336 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011847 B = 0.003080 C = 0.002794 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2362.956244 B = 9089.936429 C =10018.399158 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C 0.059 3.941 3 O -0.356 6.356 4 C 0.464 3.536 5 O -0.505 6.505 6 C -0.080 4.080 7 H 0.112 0.888 8 C -0.108 4.108 9 C -0.111 4.111 10 C -0.118 4.118 11 C -0.105 4.105 12 C 0.102 3.898 13 H 0.050 0.950 14 N -0.659 5.659 15 C 0.047 3.953 16 C 0.510 3.490 17 O -0.529 6.529 18 N -0.597 5.597 19 C 0.112 3.888 20 C -0.170 4.170 21 C 0.217 3.783 22 C -0.521 4.521 23 H 0.077 0.923 24 C 0.071 3.929 25 N -0.899 5.899 26 Si 0.873 3.127 27 H -0.276 1.276 28 H -0.265 1.265 29 H -0.285 1.285 30 H 0.067 0.933 31 H 0.079 0.921 32 H 0.065 0.935 33 H 0.072 0.928 34 H 0.069 0.931 35 H 0.070 0.930 36 H 0.082 0.918 37 H 0.058 0.942 38 H 0.066 0.934 39 H 0.056 0.944 40 H 0.085 0.915 41 H 0.061 0.939 42 H 0.068 0.932 43 H 0.354 0.646 44 H 0.052 0.948 45 H 0.095 0.905 46 H 0.062 0.938 47 H 0.073 0.927 48 H 0.079 0.921 49 H 0.050 0.950 50 H 0.052 0.948 51 H 0.039 0.961 52 H 0.023 0.977 53 H 0.263 0.737 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.477 4.766 19.110 26.332 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 -0.209 4.209 2 C -0.014 4.014 3 O -0.273 6.273 4 C 0.307 3.693 5 O -0.392 6.392 6 C -0.099 4.099 7 H 0.130 0.870 8 C -0.145 4.145 9 C -0.148 4.148 10 C -0.156 4.156 11 C -0.143 4.143 12 C -0.008 4.008 13 H 0.068 0.932 14 N -0.295 5.295 15 C -0.086 4.086 16 C 0.296 3.704 17 O -0.405 6.405 18 N -0.330 5.330 19 C -0.012 4.012 20 C -0.229 4.229 21 C 0.096 3.904 22 C -0.560 4.560 23 H 0.095 0.905 24 C -0.131 4.131 25 N -0.538 5.538 26 Si 0.700 3.300 27 H -0.202 1.202 28 H -0.189 1.189 29 H -0.210 1.210 30 H 0.087 0.913 31 H 0.098 0.902 32 H 0.084 0.916 33 H 0.091 0.909 34 H 0.087 0.913 35 H 0.089 0.911 36 H 0.101 0.899 37 H 0.076 0.924 38 H 0.085 0.915 39 H 0.075 0.925 40 H 0.104 0.896 41 H 0.080 0.920 42 H 0.087 0.913 43 H 0.177 0.823 44 H 0.070 0.930 45 H 0.113 0.887 46 H 0.080 0.920 47 H 0.091 0.909 48 H 0.098 0.902 49 H 0.069 0.931 50 H 0.071 0.929 51 H 0.057 0.943 52 H 0.041 0.959 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges -17.336 4.972 18.091 25.545 hybrid contribution -0.064 -1.862 0.290 1.885 sum -17.400 3.110 18.382 25.501 Atomic orbital electron populations 1.21800 0.92567 1.03014 1.03490 1.23054 0.95395 0.80179 1.02812 1.86494 1.24495 1.32456 1.83820 1.23920 0.80659 0.92778 0.71895 1.90679 1.60239 1.43225 1.45055 1.21352 0.96016 0.89693 1.02864 0.86981 1.21487 1.00269 0.96435 0.96322 1.21465 0.96317 0.95356 1.01712 1.21477 0.94749 0.99641 0.99687 1.21541 1.00805 0.93676 0.98254 1.21373 0.90417 0.96129 0.92874 0.93204 1.60344 1.04141 1.33404 1.31646 1.21862 0.92960 0.97967 0.95795 1.20191 0.81654 0.79408 0.89110 1.90656 1.53461 1.59999 1.36362 1.47938 1.17599 1.52700 1.14743 1.21395 0.92939 0.99370 0.87480 1.22233 0.99955 0.97929 1.02736 1.19641 0.95815 0.92299 0.82648 1.21366 1.33017 0.99009 1.02607 0.90498 1.24860 0.94728 0.97376 0.96141 1.69900 1.36806 1.35264 1.11842 0.86889 0.79179 0.85631 0.78291 1.20230 1.18922 1.21042 0.91342 0.90224 0.91580 0.90930 0.91302 0.91143 0.89911 0.92361 0.91520 0.92499 0.89619 0.91992 0.91317 0.82340 0.92988 0.88740 0.92000 0.90894 0.90222 0.93131 0.92911 0.94308 0.95928 0.92696 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 -0.95 10.29 37.15 0.38 -0.57 16 2 C 0.06 0.54 6.19 37.15 0.23 0.77 16 3 O -0.36 -3.81 10.12 -39.25 -0.40 -4.21 16 4 C 0.46 5.58 6.72 36.00 0.24 5.82 16 5 O -0.50 -7.55 14.02 -18.75 -0.26 -7.81 16 6 C -0.08 -0.80 2.41 -91.78 -0.22 -1.02 16 7 H 0.11 0.84 8.14 -51.93 -0.42 0.42 16 8 C -0.11 -1.06 4.97 -26.74 -0.13 -1.20 16 9 C -0.11 -0.99 5.92 -26.73 -0.16 -1.15 16 10 C -0.12 -1.25 5.77 -26.73 -0.15 -1.41 16 11 C -0.10 -1.04 5.54 -26.71 -0.15 -1.19 16 12 C 0.10 1.17 1.85 -67.69 -0.13 1.05 16 13 H 0.05 0.57 7.76 -51.92 -0.40 0.17 16 14 N -0.66 -10.07 4.29 -107.96 -0.46 -10.53 16 15 C 0.05 0.75 4.52 -4.98 -0.02 0.73 16 16 C 0.51 10.98 7.71 -10.99 -0.08 10.89 16 17 O -0.53 -13.67 15.78 5.55 0.09 -13.58 16 18 N -0.60 -12.75 2.46 -175.06 -0.43 -13.18 16 19 C 0.11 1.83 5.98 -4.04 -0.02 1.81 16 20 C -0.17 -2.73 10.24 37.16 0.38 -2.35 16 21 C 0.22 5.47 4.27 -5.19 -0.02 5.44 16 22 C -0.52 -15.17 9.48 -34.44 -0.33 -15.50 16 23 H 0.08 2.44 7.67 -52.49 -0.40 2.04 16 24 C 0.07 2.10 5.47 -17.82 -0.10 2.00 16 25 N -0.90 -28.13 13.96 55.43 0.77 -27.36 16 26 Si 0.87 22.06 27.47 -169.99 -4.67 17.39 16 27 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 28 H -0.26 -6.59 6.54 56.52 0.37 -6.22 16 29 H -0.28 -7.17 7.11 56.52 0.40 -6.77 16 30 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 31 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 33 H 0.07 0.72 8.13 -51.93 -0.42 0.30 16 34 H 0.07 0.61 8.13 -51.93 -0.42 0.19 16 35 H 0.07 0.61 8.11 -51.93 -0.42 0.19 16 36 H 0.08 1.03 7.48 -51.93 -0.39 0.65 16 37 H 0.06 0.43 8.14 -51.93 -0.42 0.00 16 38 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 39 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 40 H 0.09 1.19 7.60 -51.93 -0.39 0.79 16 41 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 42 H 0.07 0.73 7.46 -51.93 -0.39 0.34 16 43 H 0.35 6.09 5.55 -39.29 -0.22 5.87 16 44 H 0.05 0.77 7.31 -51.93 -0.38 0.39 16 45 H 0.09 1.39 6.48 -51.93 -0.34 1.06 16 46 H 0.06 0.82 6.44 -51.93 -0.33 0.49 16 47 H 0.07 1.13 7.89 -51.93 -0.41 0.72 16 48 H 0.08 1.57 7.26 -51.93 -0.38 1.19 16 49 H 0.05 0.80 7.22 -51.93 -0.38 0.43 16 50 H 0.05 0.67 8.14 -51.93 -0.42 0.25 16 51 H 0.04 1.07 6.48 -51.93 -0.34 0.73 16 52 H 0.02 0.54 7.32 -51.93 -0.38 0.16 16 53 H 0.26 7.71 8.31 -40.82 -0.34 7.37 16 LS Contribution 412.08 15.07 6.21 6.21 Total: -1.00 -35.41 412.08 -8.80 -44.20 By element: Atomic # 1 Polarization: 14.10 SS G_CDS: -9.36 Total: 4.73 kcal Atomic # 6 Polarization: 4.42 SS G_CDS: -0.28 Total: 4.14 kcal Atomic # 7 Polarization: -50.96 SS G_CDS: -0.12 Total: -51.08 kcal Atomic # 8 Polarization: -25.03 SS G_CDS: -0.57 Total: -25.60 kcal Atomic # 14 Polarization: 22.06 SS G_CDS: -4.67 Total: 17.39 kcal Total LS contribution 6.21 Total: 6.21 kcal Total: -35.41 -8.80 -44.20 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. ZINC000451588135.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 -87.685 kcal (2) G-P(sol) polarization free energy of solvation -35.409 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.093 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.795 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.204 kcal (6) G-S(sol) free energy of system = (1) + (5) -131.888 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds