Wall clock time and date at job start Sat Apr 11 2020 06:10:23 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 1.53002 * 1 3 3 C 1.53002 * 109.46910 * 2 1 4 4 C 1.53003 * 109.46744 * 240.00478 * 2 1 3 5 5 O 1.42896 * 109.47570 * 59.99871 * 4 2 1 6 6 C 1.52993 * 109.47172 * 120.00345 * 2 1 3 7 7 C 1.52998 * 109.46919 * 299.99910 * 6 2 1 8 8 C 1.53006 * 109.46913 * 180.02562 * 7 6 2 9 9 N 1.46501 * 109.47082 * 180.02562 * 8 7 6 10 10 C 1.34774 * 120.00243 * 180.02562 * 9 8 7 11 11 O 1.21357 * 119.99737 * 359.97438 * 10 9 8 12 12 C 1.49450 * 120.00173 * 179.97438 * 10 9 8 13 13 O 1.21345 * 120.00237 * 353.32917 * 12 10 9 14 14 N 1.34779 * 119.99959 * 173.33642 * 12 10 9 15 15 C 1.46926 * 120.62965 * 173.06654 * 14 12 10 16 16 C 1.53192 * 108.89029 * 233.55576 * 15 14 12 17 17 C 1.53071 * 109.29669 * 305.57921 * 16 15 14 18 18 C 1.50702 * 109.44365 * 181.24072 * 17 16 15 19 19 H 1.08007 * 119.99829 * 239.79782 * 18 17 16 20 20 C 1.37879 * 120.00166 * 59.78883 * 18 17 16 21 21 N 1.31515 * 119.99785 * 0.02562 * 20 18 17 22 22 Si 1.86803 * 119.99970 * 180.02562 * 20 18 17 23 23 H 1.48499 * 109.46998 * 359.97438 * 22 20 18 24 24 H 1.48489 * 109.46978 * 120.00571 * 22 20 18 25 25 H 1.48503 * 109.46712 * 240.00375 * 22 20 18 26 26 C 1.53039 * 109.66157 * 61.15585 * 17 16 15 27 27 C 1.46927 * 120.62872 * 353.08530 * 14 12 10 28 28 H 1.08996 * 109.46920 * 299.99511 * 1 2 3 29 29 H 1.08997 * 109.47068 * 59.99911 * 1 2 3 30 30 H 1.09003 * 109.47002 * 179.97438 * 1 2 3 31 31 H 1.08993 * 109.46910 * 180.02562 * 3 2 1 32 32 H 1.08994 * 109.47078 * 300.00396 * 3 2 1 33 33 H 1.09001 * 109.46526 * 60.00313 * 3 2 1 34 34 H 1.09005 * 109.46463 * 179.97438 * 4 2 1 35 35 H 1.08998 * 109.47095 * 299.99490 * 4 2 1 36 36 H 0.96704 * 114.00141 * 179.97438 * 5 4 2 37 37 H 1.09005 * 109.47063 * 180.02562 * 6 2 1 38 38 H 1.08998 * 109.47418 * 60.00050 * 6 2 1 39 39 H 1.09001 * 109.47337 * 60.00375 * 7 6 2 40 40 H 1.09003 * 109.47515 * 299.99965 * 7 6 2 41 41 H 1.08993 * 109.47263 * 59.99970 * 8 7 6 42 42 H 1.09003 * 109.47332 * 299.99584 * 8 7 6 43 43 H 0.96998 * 119.99852 * 359.97438 * 9 8 7 44 44 H 1.08995 * 109.58498 * 353.41300 * 15 14 12 45 45 H 1.09003 * 109.58798 * 113.70109 * 15 14 12 46 46 H 1.08998 * 109.49941 * 65.39130 * 16 15 14 47 47 H 1.09008 * 109.49729 * 185.48788 * 16 15 14 48 48 H 1.09009 * 109.34867 * 301.12720 * 17 16 15 49 49 H 0.97002 * 119.99706 * 179.97438 * 21 20 18 50 50 H 1.08999 * 109.49875 * 178.74934 * 26 17 16 51 51 H 1.09001 * 109.52161 * 58.66408 * 26 17 16 52 52 H 1.08997 * 109.58946 * 246.15605 * 27 14 12 53 53 H 1.08998 * 109.59100 * 6.44429 * 27 14 12 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 6 2.0399 -0.7212 -1.2494 5 8 1.5636 -0.0475 -2.4161 6 6 2.0400 -0.7213 1.2491 7 6 1.5300 -0.0001 2.4984 8 6 2.0406 -0.7211 3.7476 9 7 1.5518 -0.0309 4.9438 10 6 1.8781 -0.4908 6.1679 11 8 2.5765 -1.4770 6.2792 12 6 1.3799 0.2136 7.3882 13 8 0.7845 1.2656 7.2810 14 7 1.5920 -0.3194 8.6078 15 6 1.2448 0.4300 9.8230 16 6 2.4741 0.4934 10.7348 17 6 2.9862 -0.9258 10.9928 18 6 4.1774 -0.8695 11.9143 19 1 5.1313 -1.2571 11.5881 20 6 4.0495 -0.3232 13.1738 21 7 2.8879 0.1484 13.5711 22 14 5.5262 -0.2528 14.3157 23 1 6.7062 -0.8448 13.6358 24 1 5.8138 1.1612 14.6662 25 1 5.2320 -1.0195 15.5530 26 6 3.3963 -1.5739 9.6685 27 6 2.1752 -1.6607 8.7474 28 1 -0.3633 0.5137 0.8900 29 1 -0.3633 0.5138 -0.8899 30 1 -0.3633 -1.0277 -0.0005 31 1 3.1299 1.4425 -0.0005 32 1 1.6766 1.9563 -0.8899 33 1 1.6766 1.9563 0.8901 34 1 3.1300 -0.7207 -1.2495 35 1 1.6766 -1.7488 -1.2494 36 1 1.8492 -0.4508 -3.2473 37 1 3.1301 -0.7209 1.2493 38 1 1.6767 -1.7489 1.2491 39 1 0.4400 -0.0001 2.4984 40 1 1.8933 1.0276 2.4985 41 1 3.1305 -0.7207 3.7474 42 1 1.6776 -1.7489 3.7479 43 1 0.9938 0.7576 4.8549 44 1 0.9370 1.4404 9.5537 45 1 0.4299 -0.0739 10.3427 46 1 3.2564 1.0780 10.2508 47 1 2.2017 0.9618 11.6807 48 1 2.1959 -1.5162 11.4567 49 1 2.7978 0.5324 14.4573 50 1 3.7812 -2.5760 9.8577 51 1 4.1694 -0.9711 9.1920 52 1 1.4380 -2.3364 9.1808 53 1 2.4791 -2.0308 7.7683 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 ZINC001327461786.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 06:10:23 Heat of formation + Delta-G solvation = -130.624167 kcal Electronic energy + Delta-G solvation = -29918.758458 eV Core-core repulsion = 25790.131910 eV Total energy + Delta-G solvation = -4128.626548 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.69694 -39.21646 -38.45362 -37.03187 -36.44033 -35.04218 -33.44714 -31.46371 -31.06114 -30.17816 -27.64646 -27.24781 -26.82184 -26.01968 -24.09836 -22.66738 -22.18562 -21.71022 -20.29622 -19.07941 -18.79411 -17.83928 -17.35331 -16.81043 -16.31934 -16.24472 -15.65420 -15.51998 -15.30231 -15.16854 -14.73125 -14.53058 -14.24870 -14.06800 -13.69246 -13.35547 -13.18175 -13.12893 -12.78740 -12.75072 -12.56503 -12.45570 -12.20724 -12.04609 -11.97473 -11.81380 -11.43267 -11.19373 -11.06820 -10.97894 -10.94481 -10.88569 -10.78612 -10.57772 -10.42170 -10.32312 -10.06696 -9.55050 -9.51649 -9.36902 -8.92694 -8.56490 -8.33975 -8.07736 -6.00052 -4.06185 1.59661 2.50803 3.29190 3.37514 3.41151 3.41831 3.63179 3.82397 4.29843 4.31070 4.43396 4.50245 4.52358 4.62874 4.74158 4.94045 5.01375 5.07454 5.14371 5.26493 5.29509 5.31540 5.41073 5.42602 5.60330 5.61095 5.68317 5.70345 5.75020 5.81013 5.90863 5.95136 6.01878 6.04135 6.07276 6.19188 6.35594 6.39332 6.62218 6.72800 6.83207 7.02766 7.06590 7.15904 7.19204 7.33825 7.69634 7.75970 7.89945 7.95958 8.08696 8.25421 8.43877 8.97674 9.58797 11.05444 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.029324 B = 0.001722 C = 0.001688 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 954.632834 B =16256.881042 C =16584.615354 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C -0.064 4.064 3 C -0.141 4.141 4 C 0.085 3.915 5 O -0.570 6.570 6 C -0.106 4.106 7 C -0.135 4.135 8 C 0.116 3.884 9 N -0.704 5.704 10 C 0.511 3.489 11 O -0.506 6.506 12 C 0.498 3.502 13 O -0.542 6.542 14 N -0.560 5.560 15 C 0.104 3.896 16 C -0.122 4.122 17 C 0.044 3.956 18 C -0.510 4.510 19 H 0.056 0.944 20 C 0.060 3.940 21 N -0.892 5.892 22 Si 0.891 3.109 23 H -0.274 1.274 24 H -0.285 1.285 25 H -0.285 1.285 26 C -0.117 4.117 27 C 0.047 3.953 28 H 0.058 0.942 29 H 0.062 0.938 30 H 0.052 0.948 31 H 0.052 0.948 32 H 0.062 0.938 33 H 0.058 0.942 34 H 0.045 0.955 35 H 0.045 0.955 36 H 0.377 0.623 37 H 0.069 0.931 38 H 0.069 0.931 39 H 0.076 0.924 40 H 0.076 0.924 41 H 0.072 0.928 42 H 0.072 0.928 43 H 0.412 0.588 44 H 0.077 0.923 45 H 0.065 0.935 46 H 0.038 0.962 47 H 0.106 0.894 48 H 0.027 0.973 49 H 0.260 0.740 50 H 0.060 0.940 51 H 0.051 0.949 52 H 0.057 0.943 53 H 0.142 0.858 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.544 -1.666 -28.736 29.141 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 -0.198 4.198 2 C -0.064 4.064 3 C -0.198 4.198 4 C 0.007 3.993 5 O -0.375 6.375 6 C -0.144 4.144 7 C -0.173 4.173 8 C -0.007 4.007 9 N -0.357 5.357 10 C 0.293 3.707 11 O -0.383 6.383 12 C 0.280 3.720 13 O -0.422 6.422 14 N -0.291 5.291 15 C -0.017 4.017 16 C -0.160 4.160 17 C 0.026 3.974 18 C -0.549 4.549 19 H 0.074 0.926 20 C -0.141 4.141 21 N -0.531 5.531 22 Si 0.719 3.281 23 H -0.198 1.198 24 H -0.211 1.211 25 H -0.211 1.211 26 C -0.155 4.155 27 C -0.073 4.073 28 H 0.077 0.923 29 H 0.081 0.919 30 H 0.071 0.929 31 H 0.071 0.929 32 H 0.081 0.919 33 H 0.077 0.923 34 H 0.063 0.937 35 H 0.063 0.937 36 H 0.224 0.776 37 H 0.088 0.912 38 H 0.087 0.913 39 H 0.094 0.906 40 H 0.095 0.905 41 H 0.091 0.909 42 H 0.090 0.910 43 H 0.248 0.752 44 H 0.095 0.905 45 H 0.083 0.917 46 H 0.057 0.943 47 H 0.124 0.876 48 H 0.045 0.955 49 H 0.070 0.930 50 H 0.079 0.921 51 H 0.069 0.931 52 H 0.075 0.925 53 H 0.159 0.841 Dipole moment (debyes) X Y Z Total from point charges -4.704 -1.368 -28.072 28.496 hybrid contribution 0.857 0.007 0.424 0.957 sum -3.846 -1.361 -27.647 27.947 Atomic orbital electron populations 1.21859 0.93880 1.01782 1.02253 1.20565 0.96667 0.96271 0.92868 1.21861 1.00675 0.95010 1.02261 1.22222 0.97112 0.94592 0.85366 1.86469 1.77543 1.57465 1.16060 1.21485 1.01094 0.99296 0.92523 1.21917 1.01999 1.00449 0.92908 1.21483 0.99836 0.96551 0.82827 1.45814 1.52781 1.32288 1.04868 1.20505 0.80865 0.84329 0.84983 1.90364 1.37412 1.25832 1.84651 1.19831 0.81673 0.85825 0.84699 1.90702 1.41736 1.23431 1.86288 1.48220 1.57811 1.18277 1.04799 1.22086 0.99828 0.95898 0.83853 1.22038 0.93642 1.01350 0.98980 1.18702 0.96419 0.91754 0.90533 1.21255 0.96100 1.39011 0.98486 0.92615 1.24976 0.95757 0.95356 0.97972 1.69849 1.23133 1.40911 1.19200 0.86557 0.83129 0.77637 0.80802 1.19841 1.21088 1.21073 1.21911 0.95552 1.00857 0.97205 1.23306 0.96411 0.81447 1.06180 0.92284 0.91937 0.92914 0.92881 0.91935 0.92266 0.93677 0.93692 0.77597 0.91245 0.91272 0.90553 0.90509 0.90924 0.90961 0.75175 0.90482 0.91663 0.94304 0.87557 0.95503 0.93045 0.92105 0.93062 0.92478 0.84142 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 -0.14 -0.88 7.98 37.16 0.30 -0.59 16 2 C -0.06 -0.37 0.63 -154.51 -0.10 -0.47 16 3 C -0.14 -0.91 7.98 37.16 0.30 -0.61 16 4 C 0.08 0.46 5.91 37.16 0.22 0.68 16 5 O -0.57 -3.44 12.31 -35.23 -0.43 -3.87 16 6 C -0.11 -0.57 4.27 -26.74 -0.11 -0.68 16 7 C -0.14 -0.82 4.62 -26.73 -0.12 -0.95 16 8 C 0.12 0.99 5.67 -4.04 -0.02 0.97 16 9 N -0.70 -7.84 5.55 -60.73 -0.34 -8.18 16 10 C 0.51 7.69 7.78 -11.59 -0.09 7.60 16 11 O -0.51 -8.38 13.10 5.49 0.07 -8.30 16 12 C 0.50 8.82 7.74 -11.58 -0.09 8.73 16 13 O -0.54 -10.26 15.94 5.50 0.09 -10.17 16 14 N -0.56 -10.64 2.97 -173.27 -0.52 -11.15 16 15 C 0.10 2.11 6.41 -3.71 -0.02 2.08 16 16 C -0.12 -2.85 5.16 -26.60 -0.14 -2.99 16 17 C 0.04 1.09 2.06 -91.71 -0.19 0.90 16 18 C -0.51 -13.90 8.56 -34.44 -0.29 -14.20 16 19 H 0.06 1.51 7.74 -52.48 -0.41 1.11 16 20 C 0.06 1.65 5.30 -17.82 -0.09 1.55 16 21 N -0.89 -25.02 11.30 55.43 0.63 -24.40 16 22 Si 0.89 21.22 29.54 -169.99 -5.02 16.20 16 23 H -0.27 -6.47 7.11 56.52 0.40 -6.06 16 24 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 25 H -0.28 -6.75 7.11 56.52 0.40 -6.34 16 26 C -0.12 -2.47 5.30 -26.61 -0.14 -2.61 16 27 C 0.05 0.87 6.27 -3.71 -0.02 0.85 16 28 H 0.06 0.35 6.43 -51.93 -0.33 0.02 16 29 H 0.06 0.46 7.68 -51.93 -0.40 0.06 16 30 H 0.05 0.32 8.14 -51.93 -0.42 -0.11 16 31 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 32 H 0.06 0.47 7.68 -51.93 -0.40 0.07 16 33 H 0.06 0.37 6.43 -51.93 -0.33 0.03 16 34 H 0.04 0.22 8.14 -51.93 -0.42 -0.21 16 35 H 0.04 0.21 8.14 -51.93 -0.42 -0.21 16 36 H 0.38 0.73 9.12 45.56 0.42 1.14 16 37 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 38 H 0.07 0.35 8.14 -51.93 -0.42 -0.08 16 39 H 0.08 0.45 6.43 -51.93 -0.33 0.11 16 40 H 0.08 0.47 6.43 -51.93 -0.33 0.13 16 41 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 42 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 43 H 0.41 4.12 7.96 -40.82 -0.33 3.80 16 44 H 0.08 1.53 7.05 -51.93 -0.37 1.16 16 45 H 0.07 1.28 8.14 -51.93 -0.42 0.86 16 46 H 0.04 0.93 8.14 -51.93 -0.42 0.51 16 47 H 0.11 2.75 6.03 -51.92 -0.31 2.44 16 48 H 0.03 0.71 8.14 -51.92 -0.42 0.29 16 49 H 0.26 6.96 8.31 -40.82 -0.34 6.62 16 50 H 0.06 1.23 8.14 -51.93 -0.42 0.81 16 51 H 0.05 1.11 8.14 -51.93 -0.42 0.69 16 52 H 0.06 1.01 8.14 -51.93 -0.42 0.59 16 53 H 0.14 2.51 3.78 -56.75 -0.21 2.29 16 LS Contribution 408.75 15.07 6.16 6.16 Total: -1.00 -31.42 408.75 -8.39 -39.81 By element: Atomic # 1 Polarization: 12.04 SS G_CDS: -8.40 Total: 3.64 kcal Atomic # 6 Polarization: 0.89 SS G_CDS: -0.63 Total: 0.27 kcal Atomic # 7 Polarization: -43.51 SS G_CDS: -0.23 Total: -43.73 kcal Atomic # 8 Polarization: -22.07 SS G_CDS: -0.27 Total: -22.35 kcal Atomic # 14 Polarization: 21.22 SS G_CDS: -5.02 Total: 16.20 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -31.42 -8.39 -39.81 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. ZINC001327461786.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 -90.814 kcal (2) G-P(sol) polarization free energy of solvation -31.423 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -122.237 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.387 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.810 kcal (6) G-S(sol) free energy of system = (1) + (5) -130.624 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds