Wall clock time and date at job start Sat Apr 11 2020 06:12:38 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 1.52998 * 1 3 3 O 1.45196 * 109.47311 * 2 1 4 4 C 1.34228 * 117.00159 * 179.97438 * 3 2 1 5 5 O 1.20821 * 120.00023 * 359.97438 * 4 3 2 6 6 C 1.50700 * 119.99866 * 180.02562 * 4 3 2 7 7 H 1.08996 * 109.52898 * 59.91524 * 6 4 3 8 8 C 1.53040 * 109.49641 * 180.02562 * 6 4 3 9 9 C 1.53044 * 109.53662 * 181.31454 * 8 6 4 10 10 C 1.53191 * 109.31440 * 298.63203 * 9 8 6 11 11 N 1.46926 * 108.89109 * 54.56430 * 10 9 8 12 12 C 1.34780 * 120.63278 * 126.46534 * 11 10 9 13 13 O 1.21271 * 120.00661 * 179.97438 * 12 11 10 14 14 C 1.50705 * 119.99400 * 0.02562 * 12 11 10 15 15 N 1.46899 * 109.46714 * 179.97438 * 14 12 11 16 16 C 1.46907 * 111.00312 * 293.95094 * 15 14 12 17 17 C 1.46900 * 110.99964 * 170.00481 * 15 14 12 18 18 C 1.53002 * 109.47208 * 189.99827 * 17 15 14 19 19 C 1.53003 * 109.47053 * 179.97438 * 18 17 15 20 20 C 1.50702 * 109.46742 * 179.97438 * 19 18 17 21 21 H 1.07991 * 120.00250 * 0.02562 * 20 19 18 22 22 C 1.37883 * 119.99562 * 180.02562 * 20 19 18 23 23 N 1.31519 * 119.99799 * 180.02562 * 22 20 19 24 24 Si 1.86798 * 120.00210 * 0.02562 * 22 20 19 25 25 H 1.48492 * 109.47295 * 90.00035 * 24 22 20 26 26 H 1.48494 * 109.47080 * 210.00153 * 24 22 20 27 27 H 1.48501 * 109.46847 * 329.99980 * 24 22 20 28 28 C 1.46957 * 118.71783 * 306.64359 * 11 10 9 29 29 H 1.08997 * 109.47179 * 300.00063 * 1 2 3 30 30 H 1.08996 * 109.47055 * 59.99958 * 1 2 3 31 31 H 1.08997 * 109.47118 * 179.97438 * 1 2 3 32 32 H 1.08997 * 109.47179 * 239.99937 * 2 1 3 33 33 H 1.09001 * 109.46675 * 119.99758 * 2 1 3 34 34 H 1.08994 * 109.45892 * 61.29593 * 8 6 4 35 35 H 1.09001 * 109.45142 * 301.32822 * 8 6 4 36 36 H 1.09003 * 109.49852 * 178.68467 * 9 8 6 37 37 H 1.08997 * 109.49691 * 58.58900 * 9 8 6 38 38 H 1.09002 * 109.58786 * 174.42474 * 10 9 8 39 39 H 1.08996 * 109.58870 * 294.70753 * 10 9 8 40 40 H 1.08994 * 109.47621 * 299.99921 * 14 12 11 41 41 H 1.09004 * 109.46918 * 60.00053 * 14 12 11 42 42 H 1.08998 * 109.46522 * 59.99941 * 16 15 14 43 43 H 1.08991 * 109.47101 * 179.97438 * 16 15 14 44 44 H 1.09004 * 109.46982 * 300.00620 * 16 15 14 45 45 H 1.09009 * 109.46864 * 309.99560 * 17 15 14 46 46 H 1.08996 * 109.47913 * 69.99426 * 17 15 14 47 47 H 1.08996 * 109.47103 * 299.99937 * 18 17 15 48 48 H 1.09003 * 109.47020 * 59.99944 * 18 17 15 49 49 H 1.08996 * 109.47697 * 300.00286 * 19 18 17 50 50 H 1.09003 * 109.46671 * 60.00443 * 19 18 17 51 51 H 0.96995 * 119.99788 * 180.02562 * 23 22 20 52 52 H 1.09001 * 109.46843 * 293.57352 * 28 11 10 53 53 H 1.08998 * 109.59977 * 173.21569 * 28 11 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 8 2.0140 1.3689 0.0000 4 6 3.3447 1.5448 0.0005 5 8 4.0807 0.5866 0.0015 6 6 3.9207 2.9373 0.0012 7 1 3.5838 3.4706 0.8901 8 6 5.4490 2.8580 0.0010 9 6 6.0349 4.2714 0.0348 10 6 5.5904 5.0342 -1.2172 11 7 4.1244 4.9907 -1.3052 12 6 3.4099 6.1268 -1.4293 13 8 2.2004 6.0777 -1.5015 14 6 4.1144 7.4581 -1.4797 15 7 3.1218 8.5323 -1.6173 16 6 2.4346 8.4514 -2.9132 17 6 3.7436 9.8504 -1.4327 18 6 2.6533 10.9193 -1.3340 19 6 3.3009 12.2920 -1.1412 20 6 2.2270 13.3449 -1.0446 21 1 1.1868 13.0631 -1.1134 22 6 2.5727 14.6680 -0.8684 23 7 1.6355 15.5868 -0.7836 24 14 4.3721 15.1555 -0.7501 25 1 4.8932 15.4580 -2.1072 26 1 4.5034 16.3587 0.1101 27 1 5.1500 14.0372 -0.1590 28 6 3.4521 3.6851 -1.2512 29 1 -0.3633 0.5138 0.8899 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0276 -0.0005 32 1 1.8933 -0.5138 -0.8899 33 1 1.8932 -0.5138 0.8900 34 1 5.7860 2.3466 -0.9006 35 1 5.7839 2.3050 0.8787 36 1 7.1232 4.2137 0.0582 37 1 5.6785 4.7918 0.9237 38 1 5.9220 6.0704 -1.1507 39 1 6.0235 4.5680 -2.1021 40 1 4.6826 7.6036 -0.5611 41 1 4.7921 7.4785 -2.3332 42 1 1.9244 7.4916 -2.9944 43 1 1.7052 9.2577 -2.9885 44 1 3.1641 8.5443 -3.7177 45 1 4.3344 9.8483 -0.5167 46 1 4.3909 10.0690 -2.2820 47 1 2.0625 10.9213 -2.2500 48 1 2.0061 10.7007 -0.4847 49 1 3.8915 12.2898 -0.2251 50 1 3.9484 12.5108 -1.9904 51 1 1.8787 16.5176 -0.6600 52 1 3.7089 3.1073 -2.1391 53 1 2.3729 3.8311 -1.2071 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 ZINC000338725371.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 06:12:38 Heat of formation + Delta-G solvation = -125.534381 kcal Electronic energy + Delta-G solvation = -29881.980783 eV Core-core repulsion = 25753.574945 eV Total energy + Delta-G solvation = -4128.405838 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -41.28575 -40.28976 -38.17063 -37.11291 -36.68089 -33.72901 -33.47179 -32.45194 -31.75377 -31.45188 -28.65408 -27.32741 -25.89009 -25.46055 -23.98859 -23.48128 -22.20741 -21.40248 -20.58502 -19.92650 -19.26058 -18.11059 -17.54334 -17.15658 -16.72795 -16.54248 -16.14482 -15.89173 -15.33723 -15.00976 -14.79677 -14.65956 -14.20144 -14.14745 -14.06074 -13.93287 -13.68883 -13.28790 -13.22799 -13.10823 -12.80691 -12.58942 -12.40534 -12.12680 -11.99032 -11.88329 -11.82506 -11.71033 -11.53888 -11.47995 -11.30850 -11.17964 -10.98248 -10.93288 -10.86883 -10.66386 -9.95211 -9.88302 -9.63252 -9.49957 -9.12971 -9.03262 -8.50198 -8.13253 -6.00263 -3.97778 1.68995 2.13135 2.47798 2.60515 3.32017 3.39296 3.42628 3.96656 4.01940 4.16065 4.24078 4.42029 4.44687 4.47194 4.47901 4.50306 4.55885 4.68284 4.79788 4.91321 5.01455 5.07235 5.15613 5.20623 5.24985 5.28191 5.31979 5.33248 5.33717 5.44100 5.46666 5.55461 5.56244 5.61573 5.74832 5.78051 5.89978 5.98697 6.08765 6.15153 6.31928 6.58040 6.58246 6.91352 6.99615 7.22081 7.26049 7.28180 7.40750 7.49850 7.84134 8.03052 8.59597 9.06055 9.62156 11.13373 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019605 B = 0.001825 C = 0.001729 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1427.874563 B =15341.231551 C =16186.102883 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 0.062 3.938 3 O -0.353 6.353 4 C 0.471 3.529 5 O -0.506 6.506 6 C -0.096 4.096 7 H 0.115 0.885 8 C -0.104 4.104 9 C -0.135 4.135 10 C 0.103 3.897 11 N -0.619 5.619 12 C 0.520 3.480 13 O -0.511 6.511 14 C 0.037 3.963 15 N -0.525 5.525 16 C 0.017 3.983 17 C 0.054 3.946 18 C -0.098 4.098 19 C -0.013 4.013 20 C -0.518 4.518 21 H 0.072 0.928 22 C 0.064 3.936 23 N -0.904 5.904 24 Si 0.881 3.119 25 H -0.278 1.278 26 H -0.288 1.288 27 H -0.266 1.266 28 C 0.125 3.875 29 H 0.068 0.932 30 H 0.069 0.931 31 H 0.080 0.920 32 H 0.070 0.930 33 H 0.070 0.930 34 H 0.075 0.925 35 H 0.077 0.923 36 H 0.085 0.915 37 H 0.074 0.926 38 H 0.091 0.909 39 H 0.072 0.928 40 H 0.103 0.897 41 H 0.060 0.940 42 H 0.080 0.920 43 H 0.078 0.922 44 H 0.016 0.984 45 H 0.069 0.931 46 H 0.030 0.970 47 H 0.055 0.945 48 H 0.063 0.937 49 H 0.015 0.985 50 H 0.008 0.992 51 H 0.262 0.738 52 H 0.070 0.930 53 H 0.107 0.893 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.674 -33.332 -0.019 34.442 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 -0.012 4.012 3 O -0.270 6.270 4 C 0.314 3.686 5 O -0.393 6.393 6 C -0.116 4.116 7 H 0.133 0.867 8 C -0.141 4.141 9 C -0.173 4.173 10 C -0.020 4.020 11 N -0.356 5.356 12 C 0.308 3.692 13 O -0.384 6.384 14 C -0.094 4.094 15 N -0.249 5.249 16 C -0.130 4.130 17 C -0.073 4.073 18 C -0.136 4.136 19 C -0.051 4.051 20 C -0.556 4.556 21 H 0.090 0.910 22 C -0.137 4.137 23 N -0.544 5.544 24 Si 0.708 3.292 25 H -0.204 1.204 26 H -0.214 1.214 27 H -0.191 1.191 28 C 0.002 3.998 29 H 0.087 0.913 30 H 0.088 0.912 31 H 0.099 0.901 32 H 0.088 0.912 33 H 0.088 0.912 34 H 0.094 0.906 35 H 0.096 0.904 36 H 0.104 0.896 37 H 0.092 0.908 38 H 0.109 0.891 39 H 0.090 0.910 40 H 0.121 0.879 41 H 0.078 0.922 42 H 0.098 0.902 43 H 0.096 0.904 44 H 0.035 0.965 45 H 0.088 0.912 46 H 0.048 0.952 47 H 0.073 0.927 48 H 0.082 0.918 49 H 0.033 0.967 50 H 0.027 0.973 51 H 0.072 0.928 52 H 0.089 0.911 53 H 0.126 0.874 Dipole moment (debyes) X Y Z Total from point charges 7.801 -33.513 0.319 34.411 hybrid contribution 1.675 0.254 -0.473 1.759 sum 9.475 -33.259 -0.154 34.583 Atomic orbital electron populations 1.21822 0.92329 1.03071 1.03923 1.23071 0.95667 0.79896 1.02572 1.86554 1.24240 1.32657 1.83566 1.23512 0.80731 0.92221 0.72179 1.90669 1.60510 1.42965 1.45188 1.21504 0.97349 0.90070 1.02702 0.86677 1.21442 0.91190 0.97370 1.04142 1.21955 1.01474 0.95292 0.98628 1.21824 0.79588 1.02184 0.98390 1.48129 1.07038 1.05764 1.74636 1.20760 0.87799 0.85128 0.75557 1.90688 1.13812 1.86385 1.47542 1.22016 0.94469 0.89974 1.02922 1.61748 1.27533 1.02089 1.33560 1.22592 0.98622 1.04232 0.87595 1.22380 0.97374 0.87449 1.00047 1.21483 0.96714 0.93531 1.01838 1.19555 0.96777 0.92746 0.95985 1.21158 0.94234 0.90730 1.49442 0.90981 1.25053 0.97230 0.96610 0.94765 1.69923 1.32569 1.01199 1.50682 0.86761 0.86108 0.78074 0.78212 1.20427 1.21446 1.19051 1.21374 1.00065 0.83310 0.95047 0.91275 0.91215 0.90146 0.91157 0.91195 0.90639 0.90445 0.89632 0.90771 0.89109 0.90959 0.87922 0.92201 0.90151 0.90368 0.96519 0.91205 0.95200 0.92651 0.91815 0.96656 0.97326 0.92814 0.91149 0.87437 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.77 10.29 37.16 0.38 -0.39 16 2 C 0.06 0.42 6.19 37.16 0.23 0.65 16 3 O -0.35 -3.14 10.15 -39.25 -0.40 -3.53 16 4 C 0.47 4.23 7.26 36.01 0.26 4.49 16 5 O -0.51 -5.57 15.73 -18.75 -0.29 -5.87 16 6 C -0.10 -0.70 2.78 -91.65 -0.25 -0.96 16 7 H 0.12 0.83 8.14 -51.93 -0.42 0.40 16 8 C -0.10 -0.62 4.46 -26.69 -0.12 -0.74 16 9 C -0.14 -0.63 6.08 -26.61 -0.16 -0.79 16 10 C 0.10 0.56 6.34 -3.71 -0.02 0.54 16 11 N -0.62 -5.32 2.98 -172.74 -0.51 -5.83 16 12 C 0.52 6.18 7.42 -10.98 -0.08 6.10 16 13 O -0.51 -8.07 13.72 5.56 0.08 -8.00 16 14 C 0.04 0.42 3.79 -4.97 -0.02 0.40 16 15 N -0.53 -7.92 4.50 -244.36 -1.10 -9.02 16 16 C 0.02 0.26 9.01 60.07 0.54 0.80 16 17 C 0.05 0.88 4.96 -3.82 -0.02 0.86 16 18 C -0.10 -1.98 5.08 -26.73 -0.14 -2.12 16 19 C -0.01 -0.30 4.04 -27.88 -0.11 -0.42 16 20 C -0.52 -15.02 9.66 -34.44 -0.33 -15.36 16 21 H 0.07 2.26 7.99 -52.49 -0.42 1.84 16 22 C 0.06 1.90 5.47 -17.82 -0.10 1.80 16 23 N -0.90 -28.28 13.96 55.43 0.77 -27.51 16 24 Si 0.88 21.83 27.47 -169.99 -4.67 17.16 16 25 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 26 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 27 H -0.27 -6.27 6.54 56.52 0.37 -5.90 16 28 C 0.13 1.04 5.64 -3.69 -0.02 1.01 16 29 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 30 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 31 H 0.08 0.26 8.14 -51.93 -0.42 -0.17 16 32 H 0.07 0.45 8.13 -51.93 -0.42 0.03 16 33 H 0.07 0.45 8.13 -51.93 -0.42 0.03 16 34 H 0.07 0.47 8.13 -51.93 -0.42 0.05 16 35 H 0.08 0.48 8.07 -51.93 -0.42 0.06 16 36 H 0.09 0.27 8.14 -51.93 -0.42 -0.15 16 37 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 38 H 0.09 0.42 5.93 -51.93 -0.31 0.11 16 39 H 0.07 0.32 8.14 -51.93 -0.42 -0.10 16 40 H 0.10 0.97 7.48 -51.93 -0.39 0.58 16 41 H 0.06 0.56 7.92 -51.93 -0.41 0.15 16 42 H 0.08 1.22 5.88 -51.93 -0.31 0.92 16 43 H 0.08 1.24 6.30 -51.93 -0.33 0.91 16 44 H 0.02 0.22 8.14 -51.93 -0.42 -0.20 16 45 H 0.07 1.05 7.93 -51.92 -0.41 0.64 16 46 H 0.03 0.46 8.12 -51.93 -0.42 0.04 16 47 H 0.05 1.14 6.47 -51.93 -0.34 0.80 16 48 H 0.06 1.36 8.14 -51.93 -0.42 0.94 16 49 H 0.02 0.36 7.20 -51.93 -0.37 -0.01 16 50 H 0.01 0.20 7.57 -51.93 -0.39 -0.19 16 51 H 0.26 7.65 8.31 -40.82 -0.34 7.31 16 52 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 53 H 0.11 1.10 7.01 -51.93 -0.36 0.73 16 LS Contribution 415.75 15.07 6.27 6.27 Total: -1.00 -35.37 415.75 -9.37 -44.74 By element: Atomic # 1 Polarization: 5.25 SS G_CDS: -9.54 Total: -4.29 kcal Atomic # 6 Polarization: -4.15 SS G_CDS: 0.04 Total: -4.12 kcal Atomic # 7 Polarization: -41.52 SS G_CDS: -0.84 Total: -42.36 kcal Atomic # 8 Polarization: -16.78 SS G_CDS: -0.62 Total: -17.40 kcal Atomic # 14 Polarization: 21.83 SS G_CDS: -4.67 Total: 17.16 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -35.37 -9.37 -44.74 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. ZINC000338725371.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 -80.796 kcal (2) G-P(sol) polarization free energy of solvation -35.373 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.169 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.366 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.738 kcal (6) G-S(sol) free energy of system = (1) + (5) -125.534 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds