Wall clock time and date at job start Tue Mar 31 2020 19:49:33 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 1.52997 * 1 3 3 H 1.08997 * 109.46984 * 2 1 4 4 C 1.52994 * 109.47134 * 120.00085 * 2 1 3 5 5 C 1.50698 * 109.46890 * 295.00006 * 4 2 1 6 6 O 1.21274 * 120.00328 * 0.02562 * 5 4 2 7 7 N 1.34784 * 119.99944 * 180.02562 * 5 4 2 8 8 C 1.46493 * 120.00158 * 180.02562 * 7 5 4 9 9 C 1.53000 * 109.47409 * 179.97438 * 8 7 5 10 10 C 1.50696 * 109.47494 * 180.02562 * 9 8 7 11 11 C 1.29451 * 117.69740 * 94.74082 * 10 9 8 12 12 C 1.50320 * 123.65510 * 180.59028 * 11 10 9 13 13 N 1.47003 * 109.20235 * 349.49838 * 12 11 10 14 14 C 1.36935 * 121.37400 * 222.76713 * 13 12 11 15 15 H 1.07996 * 120.00469 * 155.95717 * 14 13 12 16 16 C 1.38817 * 119.99773 * 335.94822 * 14 13 12 17 17 N 1.31612 * 119.99995 * 344.53953 * 16 14 13 18 18 Si 1.86797 * 119.99793 * 164.53822 * 16 14 13 19 19 H 1.48501 * 109.47454 * 60.00442 * 18 16 14 20 20 H 1.48497 * 109.47123 * 180.02562 * 18 16 14 21 21 H 1.48500 * 109.47153 * 300.00059 * 18 16 14 22 22 C 1.47337 * 117.25055 * 42.73690 * 13 12 11 23 23 C 1.49978 * 117.69220 * 275.00147 * 10 9 8 24 24 C 1.53007 * 109.46934 * 240.00408 * 2 1 3 25 25 H 1.09005 * 110.32555 * 185.70369 * 24 2 1 26 26 C 1.54471 * 110.37502 * 63.45036 * 24 2 1 27 27 C 1.54513 * 104.06069 * 217.18872 * 26 24 2 28 28 C 1.54480 * 104.06310 * 359.97438 * 27 26 24 29 29 O 1.44426 * 110.37024 * 307.94367 * 24 2 1 30 30 H 1.09002 * 109.47328 * 179.97438 * 1 2 3 31 31 H 1.08998 * 109.47630 * 300.00114 * 1 2 3 32 32 H 1.09004 * 109.47433 * 60.00523 * 1 2 3 33 33 H 1.09003 * 109.47166 * 174.99840 * 4 2 1 34 34 H 1.09001 * 109.47382 * 55.00557 * 4 2 1 35 35 H 0.97005 * 119.99863 * 359.97438 * 7 5 4 36 36 H 1.09002 * 109.47160 * 60.00059 * 8 7 5 37 37 H 1.09001 * 109.47387 * 300.00151 * 8 7 5 38 38 H 1.09003 * 109.46992 * 59.99677 * 9 8 7 39 39 H 1.09005 * 109.46910 * 300.00216 * 9 8 7 40 40 H 1.07995 * 118.17341 * 0.85677 * 11 10 9 41 41 H 1.09002 * 109.66737 * 229.47860 * 12 11 10 42 42 H 1.09000 * 109.38210 * 109.34507 * 12 11 10 43 43 H 0.97009 * 120.00164 * 179.97438 * 17 16 14 44 44 H 1.09001 * 109.77495 * 178.61570 * 22 13 12 45 45 H 1.09006 * 109.81782 * 57.84321 * 22 13 12 46 46 H 1.09003 * 109.31263 * 281.29048 * 23 10 9 47 47 H 1.09001 * 109.31113 * 40.71652 * 23 10 9 48 48 H 1.09002 * 110.51167 * 335.82727 * 26 24 2 49 49 H 1.08997 * 110.51515 * 98.54498 * 26 24 2 50 50 H 1.09000 * 110.51303 * 118.64572 * 27 26 24 51 51 H 1.09002 * 110.50987 * 241.21691 * 27 26 24 52 52 H 1.09000 * 110.36973 * 142.80659 * 28 27 26 53 53 H 1.09000 * 110.37285 * 265.14710 * 28 27 26 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 1 1.8933 1.0276 0.0000 4 6 2.0400 -0.7212 1.2492 5 6 1.6413 0.0571 2.4765 6 8 1.0109 1.0869 2.3632 7 7 1.9853 -0.3914 3.7001 8 6 1.5972 0.3649 4.8932 9 6 2.1073 -0.3562 6.1425 10 6 1.7076 0.4214 7.3699 11 6 0.6148 0.0758 7.9717 12 6 0.0846 0.7662 9.1972 13 7 1.1088 1.6839 9.7164 14 6 1.3682 1.7776 11.0577 15 1 2.3310 2.1287 11.3984 16 6 0.3934 1.4212 11.9796 17 7 -0.8584 1.2883 11.5955 18 14 0.8585 1.1305 13.7652 19 1 1.4511 2.3692 14.3305 20 1 -0.3546 0.7637 14.5393 21 1 1.8487 0.0267 13.8454 22 6 1.8453 2.4984 8.7340 23 6 2.6009 1.5449 7.8046 24 6 2.0399 -0.7212 -1.2494 25 1 3.1251 -0.8182 -1.2141 26 6 1.6090 0.0393 -2.5229 27 6 1.2884 -1.0803 -3.5384 28 6 1.5643 -2.3848 -2.7583 29 8 1.4226 -2.0216 -1.3664 30 1 -0.3634 -1.0277 -0.0005 31 1 -0.3634 0.5138 0.8899 32 1 -0.3634 0.5138 -0.8900 33 1 3.1263 -0.7995 1.2055 34 1 1.6054 -1.7198 1.2951 35 1 2.4892 -1.2153 3.7907 36 1 0.5108 0.4423 4.9370 37 1 2.0310 1.3638 4.8473 38 1 3.1937 -0.4341 6.0990 39 1 1.6731 -1.3550 6.1882 40 1 0.0550 -0.7575 7.5735 41 1 -0.1605 0.0255 9.9584 42 1 -0.8109 1.3300 8.9358 43 1 -1.5395 1.0389 12.2397 44 1 2.5522 3.1483 9.2497 45 1 1.1455 3.1009 8.1547 46 1 3.4636 1.1366 8.3311 47 1 2.9438 2.0931 6.9271 48 1 0.7222 0.6418 -2.3263 49 1 2.4235 0.6646 -2.8885 50 1 0.2432 -1.0313 -3.8437 51 1 1.9429 -1.0070 -4.4070 52 1 0.8352 -3.1491 -3.0271 53 1 2.5763 -2.7383 -2.9559 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 ZINC001161785374.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 19:49:33 Heat of formation + Delta-G solvation = -63.839425 kcal Electronic energy + Delta-G solvation = -28713.243697 eV Core-core repulsion = 24777.969204 eV Total energy + Delta-G solvation = -3935.274492 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.04 seconds Orbital eigenvalues (eV) -40.37637 -39.48973 -37.89503 -35.62685 -34.71844 -33.53255 -32.45428 -31.41537 -29.93493 -29.40713 -28.40045 -27.51558 -25.28788 -24.10277 -22.97865 -22.45227 -21.83727 -20.95681 -20.63018 -19.93549 -17.59867 -17.27524 -16.78971 -16.27120 -16.00092 -15.88798 -15.64598 -15.40721 -15.00806 -14.54274 -14.18244 -14.09816 -13.99014 -13.68683 -13.56440 -13.45178 -13.11934 -12.63724 -12.50405 -12.20772 -12.11967 -11.97509 -11.90731 -11.81789 -11.58710 -11.46519 -11.34636 -11.15709 -11.05433 -10.94872 -10.87531 -10.80753 -10.70508 -10.31556 -10.23400 -10.11105 -9.81592 -9.76380 -9.49745 -9.06207 -8.62655 -7.89011 -6.69672 -5.75922 -3.14663 2.59972 2.86182 3.22322 3.40662 3.46064 3.47276 3.49940 4.16371 4.26445 4.50153 4.52091 4.54485 4.59568 4.70081 4.87451 4.98963 5.06786 5.14540 5.21501 5.25000 5.27869 5.30484 5.35966 5.39941 5.42502 5.51159 5.54034 5.59262 5.59539 5.62278 5.68256 5.83114 5.92635 6.04872 6.06647 6.09007 6.18448 6.24150 6.29799 6.42954 6.45747 6.46962 6.58727 6.82093 6.93522 7.26903 7.35380 7.42246 7.46294 7.77540 7.91571 8.18749 8.42117 9.23510 9.86454 10.45342 11.34405 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.039583 B = 0.001580 C = 0.001575 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 707.201651 B =17715.747698 C =17768.409533 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.067 4.067 3 H 0.089 0.911 4 C -0.135 4.135 5 C 0.510 3.490 6 O -0.538 6.538 7 N -0.732 5.732 8 C 0.124 3.876 9 C -0.091 4.091 10 C -0.143 4.143 11 C -0.147 4.147 12 C 0.196 3.804 13 N -0.595 5.595 14 C -0.246 4.246 15 H 0.068 0.932 16 C -0.001 4.001 17 N -0.909 5.909 18 Si 0.905 3.095 19 H -0.283 1.283 20 H -0.291 1.291 21 H -0.285 1.285 22 C 0.143 3.857 23 C -0.091 4.091 24 C 0.077 3.923 25 H 0.068 0.932 26 C -0.154 4.154 27 C -0.155 4.155 28 C 0.044 3.956 29 O -0.366 6.366 30 H 0.057 0.943 31 H 0.075 0.925 32 H 0.051 0.949 33 H 0.090 0.910 34 H 0.098 0.902 35 H 0.399 0.601 36 H 0.068 0.932 37 H 0.068 0.932 38 H 0.066 0.934 39 H 0.065 0.935 40 H 0.091 0.909 41 H 0.091 0.909 42 H 0.038 0.962 43 H 0.254 0.746 44 H 0.056 0.944 45 H 0.023 0.977 46 H 0.062 0.938 47 H 0.052 0.948 48 H 0.083 0.917 49 H 0.075 0.925 50 H 0.074 0.926 51 H 0.074 0.926 52 H 0.090 0.910 53 H 0.057 0.943 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.435 -7.608 -29.556 31.412 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 -0.207 4.207 2 C -0.086 4.086 3 H 0.107 0.893 4 C -0.175 4.175 5 C 0.296 3.704 6 O -0.415 6.415 7 N -0.384 5.384 8 C 0.001 3.999 9 C -0.129 4.129 10 C -0.144 4.144 11 C -0.166 4.166 12 C 0.072 3.928 13 N -0.318 5.318 14 C -0.376 4.376 15 H 0.085 0.915 16 C -0.199 4.199 17 N -0.555 5.555 18 Si 0.735 3.265 19 H -0.209 1.209 20 H -0.216 1.216 21 H -0.211 1.211 22 C 0.016 3.984 23 C -0.130 4.130 24 C 0.020 3.980 25 H 0.086 0.914 26 C -0.192 4.192 27 C -0.193 4.193 28 C -0.033 4.033 29 O -0.285 6.285 30 H 0.076 0.924 31 H 0.094 0.906 32 H 0.070 0.930 33 H 0.108 0.892 34 H 0.117 0.883 35 H 0.232 0.768 36 H 0.086 0.914 37 H 0.086 0.914 38 H 0.085 0.915 39 H 0.084 0.916 40 H 0.109 0.891 41 H 0.109 0.891 42 H 0.055 0.945 43 H 0.064 0.936 44 H 0.074 0.926 45 H 0.041 0.959 46 H 0.080 0.920 47 H 0.071 0.929 48 H 0.101 0.899 49 H 0.094 0.906 50 H 0.093 0.907 51 H 0.093 0.907 52 H 0.108 0.892 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges 6.721 -7.008 -29.319 30.885 hybrid contribution 0.565 -0.635 0.727 1.119 sum 7.287 -7.643 -28.591 30.479 Atomic orbital electron populations 1.21899 0.93848 1.02221 1.02719 1.20937 0.97786 0.98903 0.90945 0.89259 1.21712 1.02579 1.00749 0.92495 1.20685 0.79273 0.85760 0.84660 1.90682 1.39560 1.24611 1.86617 1.46162 1.58033 1.27930 1.06253 1.21419 1.00467 0.95421 0.82597 1.20904 1.00880 0.98443 0.92677 1.20231 0.98074 0.99621 0.96439 1.23114 0.95940 0.98711 0.98857 1.19700 0.89998 0.92508 0.90637 1.44112 1.42678 1.42941 1.02094 1.19145 0.96596 1.40661 0.81157 0.91462 1.24987 0.94774 1.02220 0.97956 1.70010 0.99459 1.52065 1.33938 0.86325 0.77141 0.78276 0.84770 1.20942 1.21643 1.21137 1.20949 0.94351 0.92034 0.91027 1.20758 0.97813 0.95785 0.98637 1.23089 0.96560 0.83353 0.95025 0.91405 1.23051 1.02789 0.98520 0.94844 1.22923 1.02673 0.94947 0.98753 1.23396 1.01111 0.97038 0.81768 1.89172 1.79613 1.34137 1.25627 0.92426 0.90619 0.93008 0.89164 0.88327 0.76781 0.91395 0.91379 0.91533 0.91588 0.89095 0.89149 0.94481 0.93592 0.92567 0.95873 0.91983 0.92909 0.89875 0.90606 0.90720 0.90716 0.89221 0.92438 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.50 8.51 37.16 0.32 -1.18 16 2 C -0.07 -0.58 1.91 -90.62 -0.17 -0.75 16 3 H 0.09 0.83 7.96 -51.93 -0.41 0.41 16 4 C -0.14 -1.12 5.06 -27.89 -0.14 -1.26 16 5 C 0.51 5.92 7.55 -10.98 -0.08 5.84 16 6 O -0.54 -8.32 13.96 5.56 0.08 -8.24 16 7 N -0.73 -7.71 5.56 -60.30 -0.33 -8.05 16 8 C 0.12 1.62 5.66 -4.05 -0.02 1.60 16 9 C -0.09 -1.20 5.32 -27.88 -0.15 -1.34 16 10 C -0.14 -2.50 5.11 -100.99 -0.52 -3.01 16 11 C -0.15 -2.88 9.47 -35.78 -0.34 -3.22 16 12 C 0.20 4.80 5.23 -5.10 -0.03 4.78 16 13 N -0.59 -15.26 3.01 -173.68 -0.52 -15.78 16 14 C -0.25 -6.85 9.71 -15.06 -0.15 -7.00 16 15 H 0.07 1.82 7.88 -52.49 -0.41 1.41 16 16 C 0.00 -0.04 5.01 -17.43 -0.09 -0.13 16 17 N -0.91 -26.60 11.08 55.49 0.61 -25.98 16 18 Si 0.90 21.90 29.58 -169.99 -5.03 16.88 16 19 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 20 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 21 H -0.28 -6.83 7.11 56.52 0.40 -6.42 16 22 C 0.14 3.07 6.58 -3.54 -0.02 3.04 16 23 C -0.09 -1.63 5.95 -28.18 -0.17 -1.79 16 24 C 0.08 0.56 2.96 -25.96 -0.08 0.48 16 25 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 26 C -0.15 -0.94 6.47 -25.17 -0.16 -1.10 16 27 C -0.16 -0.80 7.09 -25.16 -0.18 -0.98 16 28 C 0.04 0.26 7.63 37.93 0.29 0.55 16 29 O -0.37 -3.11 10.23 -35.23 -0.36 -3.47 16 30 H 0.06 0.59 7.54 -51.93 -0.39 0.20 16 31 H 0.07 0.94 5.95 -51.93 -0.31 0.63 16 32 H 0.05 0.47 6.30 -51.93 -0.33 0.14 16 33 H 0.09 0.57 8.14 -51.93 -0.42 0.14 16 34 H 0.10 0.78 8.07 -51.93 -0.42 0.36 16 35 H 0.40 3.04 8.47 -40.82 -0.35 2.69 16 36 H 0.07 1.02 8.14 -51.93 -0.42 0.59 16 37 H 0.07 0.98 8.09 -51.93 -0.42 0.56 16 38 H 0.07 0.79 8.11 -51.93 -0.42 0.37 16 39 H 0.07 0.81 7.79 -51.93 -0.40 0.41 16 40 H 0.09 1.59 7.74 -52.49 -0.41 1.18 16 41 H 0.09 2.44 6.41 -51.93 -0.33 2.11 16 42 H 0.04 0.98 8.14 -51.93 -0.42 0.55 16 43 H 0.25 7.20 8.31 -40.82 -0.34 6.86 16 44 H 0.06 1.16 7.96 -51.93 -0.41 0.75 16 45 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 46 H 0.06 1.12 8.14 -51.93 -0.42 0.70 16 47 H 0.05 0.82 8.08 -51.93 -0.42 0.40 16 48 H 0.08 0.55 6.01 -51.93 -0.31 0.24 16 49 H 0.08 0.38 8.14 -51.93 -0.42 -0.05 16 50 H 0.07 0.38 8.14 -51.93 -0.42 -0.05 16 51 H 0.07 0.29 8.14 -51.93 -0.42 -0.13 16 52 H 0.09 0.45 8.14 -51.93 -0.42 0.03 16 53 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 LS Contribution 410.16 15.07 6.18 6.18 Total: -1.00 -32.37 410.16 -10.59 -42.96 By element: Atomic # 1 Polarization: 10.53 SS G_CDS: -9.53 Total: 1.00 kcal Atomic # 6 Polarization: -3.80 SS G_CDS: -1.69 Total: -5.49 kcal Atomic # 7 Polarization: -49.57 SS G_CDS: -0.24 Total: -49.81 kcal Atomic # 8 Polarization: -11.43 SS G_CDS: -0.28 Total: -11.71 kcal Atomic # 14 Polarization: 21.90 SS G_CDS: -5.03 Total: 16.88 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -32.37 -10.59 -42.96 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. ZINC001161785374.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 -20.878 kcal (2) G-P(sol) polarization free energy of solvation -32.368 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -53.246 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.594 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.962 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.839 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.04 seconds