Wall clock time and date at job start Sat Apr 11 2020 06:11:45 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 C 1.53002 * 109.46711 * 2 1 4 4 N 1.46895 * 109.47335 * 119.99847 * 2 1 3 5 5 C 1.46907 * 111.00096 * 306.04904 * 4 2 1 6 6 C 1.46899 * 111.00227 * 70.00177 * 4 2 1 7 7 C 1.50695 * 109.47298 * 170.00040 * 6 4 2 8 8 O 1.21284 * 120.00394 * 359.97438 * 7 6 4 9 9 N 1.34781 * 119.99959 * 180.02562 * 7 6 4 10 10 C 1.46503 * 119.99829 * 180.02562 * 9 7 6 11 11 C 1.52997 * 109.47000 * 179.97438 * 10 9 7 12 12 H 1.09004 * 110.90462 * 308.86947 * 11 10 9 13 13 C 1.55400 * 111.02438 * 72.60323 * 11 10 9 14 14 C 1.54323 * 102.89803 * 153.63644 * 13 11 10 15 15 N 1.47441 * 107.37092 * 337.89564 * 14 13 11 16 16 C 1.46899 * 110.99964 * 236.66280 * 15 14 13 17 17 C 1.50699 * 109.47326 * 176.64981 * 16 15 14 18 18 O 1.21299 * 119.99842 * 6.12626 * 17 16 15 19 19 N 1.34771 * 120.00290 * 186.12786 * 17 16 15 20 20 C 1.37095 * 120.00152 * 179.97438 * 19 17 16 21 21 H 1.07994 * 119.99930 * 0.02562 * 20 19 17 22 22 C 1.38951 * 120.00076 * 179.97438 * 20 19 17 23 23 N 1.31414 * 119.99895 * 0.02562 * 22 20 19 24 24 Si 1.86797 * 120.00099 * 180.02562 * 22 20 19 25 25 H 1.48499 * 109.47005 * 359.97438 * 24 22 20 26 26 H 1.48495 * 109.47274 * 120.00383 * 24 22 20 27 27 H 1.48503 * 109.46913 * 240.00410 * 24 22 20 28 28 C 1.47848 * 108.56525 * 358.92790 * 15 14 13 29 29 H 1.09001 * 109.47605 * 60.00005 * 1 2 3 30 30 H 1.09010 * 109.46667 * 180.02562 * 1 2 3 31 31 H 1.08998 * 109.47665 * 299.99840 * 1 2 3 32 32 H 1.08992 * 109.47248 * 240.00179 * 2 1 3 33 33 H 1.09001 * 109.47030 * 179.97438 * 3 2 1 34 34 H 1.09001 * 109.47082 * 300.00315 * 3 2 1 35 35 H 1.09006 * 109.47188 * 59.99931 * 3 2 1 36 36 H 1.08995 * 109.46932 * 183.95496 * 5 4 2 37 37 H 1.09000 * 109.47200 * 303.95541 * 5 4 2 38 38 H 1.08999 * 109.46740 * 63.95343 * 5 4 2 39 39 H 1.09000 * 109.46591 * 49.99849 * 6 4 2 40 40 H 1.08999 * 109.47042 * 290.00567 * 6 4 2 41 41 H 0.96994 * 120.00063 * 0.02562 * 9 7 6 42 42 H 1.08996 * 109.47124 * 59.99752 * 10 9 7 43 43 H 1.09000 * 109.47035 * 299.99968 * 10 9 7 44 44 H 1.08996 * 110.67803 * 35.33195 * 13 11 10 45 45 H 1.09000 * 110.84698 * 272.01902 * 13 11 10 46 46 H 1.08995 * 109.88817 * 218.40442 * 14 13 11 47 47 H 1.09003 * 109.88542 * 97.38072 * 14 13 11 48 48 H 1.09007 * 109.46960 * 296.64772 * 16 15 14 49 49 H 1.08998 * 109.47400 * 56.64670 * 16 15 14 50 50 H 0.97003 * 120.00050 * 359.97438 * 19 17 16 51 51 H 0.96998 * 119.99737 * 179.97438 * 23 22 20 52 52 H 1.09008 * 110.36952 * 142.92768 * 28 15 14 53 53 H 1.08991 * 110.37321 * 265.26505 * 28 15 14 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 2.0399 1.4426 0.0000 4 7 2.0197 -0.6924 1.1994 5 6 1.4343 -0.1148 2.4167 6 6 1.7530 -2.1349 1.1204 7 6 2.4775 -2.8416 2.2368 8 8 3.1503 -2.2064 3.0210 9 7 2.3788 -4.1798 2.3634 10 6 3.0827 -4.8668 3.4492 11 6 2.8050 -6.3691 3.3667 12 1 1.7346 -6.5637 3.2996 13 6 3.5605 -7.0108 2.1699 14 6 3.7393 -8.4758 2.6211 15 7 3.6374 -8.4990 4.0918 16 6 4.8401 -9.0902 4.6935 17 6 4.7358 -9.0221 6.1953 18 8 3.7113 -8.6325 6.7151 19 7 5.7807 -9.3940 6.9610 20 6 5.6859 -9.3315 8.3272 21 1 4.7739 -8.9847 8.7900 22 6 6.7630 -9.7155 9.1166 23 7 7.8727 -10.1380 8.5536 24 14 6.6337 -9.6310 10.9782 25 1 5.2905 -9.1248 11.3586 26 1 6.8326 -10.9869 11.5503 27 1 7.6755 -8.7135 11.5056 28 6 3.4304 -7.1159 4.5712 29 1 -0.3634 0.5138 -0.8900 30 1 -0.3633 -1.0278 0.0005 31 1 -0.3634 0.5138 0.8900 32 1 1.8933 -0.5138 -0.8899 33 1 3.1299 1.4426 0.0005 34 1 1.6765 1.9564 -0.8900 35 1 1.6765 1.9564 0.8900 36 1 1.8664 -0.5987 3.2925 37 1 1.6465 0.9538 2.4502 38 1 0.3555 -0.2710 2.4104 39 1 2.1026 -2.5169 0.1612 40 1 0.6815 -2.3119 1.2132 41 1 1.8417 -4.6880 1.7357 42 1 2.7324 -4.4850 4.4081 43 1 4.1542 -4.6893 3.3570 44 1 4.5285 -6.5315 2.0242 45 1 2.9623 -6.9580 1.2603 46 1 4.7179 -8.8423 2.3113 47 1 2.9562 -9.0962 2.1852 48 1 4.9279 -10.1312 4.3822 49 1 5.7201 -8.5374 4.3650 50 1 6.5998 -9.7059 6.5454 51 1 8.6247 -10.4057 9.1046 52 1 2.7464 -7.1069 5.4200 53 1 4.3829 -6.6628 4.8456 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 ZINC001714649764.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 06:11:45 Heat of formation + Delta-G solvation = -58.537138 kcal Electronic energy + Delta-G solvation = -29619.791884 eV Core-core repulsion = 25526.584016 eV Total energy + Delta-G solvation = -4093.207868 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.26455 -39.33930 -38.23093 -37.51458 -35.05382 -33.89267 -32.45025 -31.90342 -31.16181 -29.57676 -28.51268 -27.58545 -26.97767 -25.72868 -24.51576 -23.80976 -21.15554 -20.59724 -20.37878 -19.92749 -19.16857 -17.86141 -17.40253 -16.80956 -16.35712 -15.99555 -15.69842 -15.27716 -15.18618 -14.87321 -14.66931 -14.41306 -14.19708 -14.13011 -13.73589 -13.59208 -13.56087 -13.34661 -12.94845 -12.88115 -12.50945 -12.33524 -12.27284 -12.07876 -11.89697 -11.76732 -11.67799 -11.54646 -11.49571 -11.17978 -11.14969 -11.05890 -10.98423 -10.82393 -10.64294 -10.32853 -10.21440 -9.90211 -9.48939 -9.19864 -8.61541 -8.37845 -7.97509 -7.87498 -6.40830 -3.81477 2.49480 2.81384 3.17391 3.28013 3.35231 3.65765 3.91526 4.05719 4.25336 4.41042 4.46693 4.53231 4.64302 4.71732 4.74815 4.79923 4.85473 4.92876 5.10369 5.15459 5.21257 5.24482 5.25352 5.27294 5.30535 5.32111 5.45348 5.46913 5.50630 5.68522 5.69991 5.71788 5.74599 5.80768 5.82004 5.84035 5.94444 5.95693 6.11773 6.20714 6.29825 6.34875 6.56251 6.58390 6.72341 7.26256 7.29973 7.34565 7.56522 8.07428 8.10312 8.62506 9.19151 9.55289 10.06758 10.77001 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.017711 B = 0.001774 C = 0.001666 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1580.535684 B =15776.583596 C =16803.075947 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.189 4.189 2 C 0.075 3.925 3 C -0.143 4.143 4 N -0.517 5.517 5 C 0.012 3.988 6 C 0.035 3.965 7 C 0.510 3.490 8 O -0.520 6.520 9 N -0.730 5.730 10 C 0.132 3.868 11 C -0.114 4.114 12 H 0.089 0.911 13 C -0.136 4.136 14 C 0.040 3.960 15 N -0.507 5.507 16 C 0.041 3.959 17 C 0.441 3.559 18 O -0.579 6.579 19 N -0.564 5.564 20 C -0.298 4.298 21 H 0.104 0.896 22 C 0.022 3.978 23 N -0.902 5.902 24 Si 0.929 3.071 25 H -0.268 1.268 26 H -0.282 1.282 27 H -0.282 1.282 28 C 0.065 3.935 29 H 0.062 0.938 30 H 0.054 0.946 31 H 0.061 0.939 32 H 0.082 0.918 33 H 0.064 0.936 34 H 0.059 0.941 35 H 0.057 0.943 36 H 0.088 0.912 37 H 0.070 0.930 38 H 0.024 0.976 39 H 0.102 0.898 40 H 0.064 0.936 41 H 0.398 0.602 42 H 0.072 0.928 43 H 0.069 0.931 44 H 0.068 0.932 45 H 0.071 0.929 46 H 0.053 0.947 47 H 0.076 0.924 48 H 0.089 0.911 49 H 0.047 0.953 50 H 0.392 0.608 51 H 0.271 0.729 52 H 0.101 0.899 53 H 0.045 0.955 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.045 15.313 -21.783 29.224 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 -0.248 4.248 2 C -0.034 4.034 3 C -0.201 4.201 4 N -0.241 5.241 5 C -0.135 4.135 6 C -0.096 4.096 7 C 0.295 3.705 8 O -0.395 6.395 9 N -0.383 5.383 10 C 0.008 3.992 11 C -0.133 4.133 12 H 0.107 0.893 13 C -0.175 4.175 14 C -0.088 4.088 15 N -0.231 5.231 16 C -0.091 4.091 17 C 0.227 3.773 18 O -0.463 6.463 19 N -0.200 5.200 20 C -0.428 4.428 21 H 0.122 0.878 22 C -0.180 4.180 23 N -0.543 5.543 24 Si 0.756 3.244 25 H -0.192 1.192 26 H -0.208 1.208 27 H -0.208 1.208 28 C -0.062 4.062 29 H 0.081 0.919 30 H 0.073 0.927 31 H 0.080 0.920 32 H 0.100 0.900 33 H 0.083 0.917 34 H 0.078 0.922 35 H 0.076 0.924 36 H 0.106 0.894 37 H 0.088 0.912 38 H 0.043 0.957 39 H 0.120 0.880 40 H 0.081 0.919 41 H 0.232 0.768 42 H 0.090 0.910 43 H 0.087 0.913 44 H 0.086 0.914 45 H 0.089 0.911 46 H 0.072 0.928 47 H 0.094 0.906 48 H 0.108 0.892 49 H 0.065 0.935 50 H 0.225 0.775 51 H 0.081 0.919 52 H 0.120 0.880 53 H 0.063 0.937 Dipole moment (debyes) X Y Z Total from point charges -11.947 15.724 -20.563 28.510 hybrid contribution 0.175 -0.268 0.020 0.320 sum -11.772 15.457 -20.543 28.276 Atomic orbital electron populations 1.22516 0.97536 1.02001 1.02733 1.21774 0.92681 0.95948 0.92968 1.21832 1.02131 0.94471 1.01658 1.61904 1.58841 1.00676 1.02688 1.22638 0.96535 1.00908 0.93430 1.21984 0.98943 0.90047 0.98667 1.20505 0.81786 0.82048 0.86119 1.90702 1.39766 1.65410 1.43634 1.46007 1.52283 1.07246 1.32758 1.21300 0.97147 0.90604 0.90151 1.22694 1.01133 0.92937 0.96582 0.89292 1.22911 1.00483 0.96229 0.97833 1.22867 1.01121 0.96018 0.88828 1.63355 1.36308 1.19630 1.03847 1.22123 0.91158 1.00705 0.95108 1.19744 0.85187 0.84775 0.87629 1.90501 1.30092 1.51474 1.74267 1.41871 1.13893 1.57504 1.06771 1.19750 1.01096 1.41066 0.80849 0.87840 1.25263 0.94964 0.97011 1.00735 1.69621 1.03936 1.44302 1.36445 0.85803 0.78511 0.77809 0.82244 1.19215 1.20757 1.20782 1.22976 1.00554 0.86187 0.96531 0.91888 0.92692 0.91980 0.89976 0.91655 0.92228 0.92445 0.89377 0.91167 0.95725 0.88012 0.91856 0.76805 0.91009 0.91296 0.91365 0.91052 0.92803 0.90613 0.89235 0.93545 0.77506 0.91939 0.88046 0.93693 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 -0.19 -1.01 8.44 37.16 0.31 -0.70 16 2 C 0.07 0.48 2.92 -67.72 -0.20 0.29 16 3 C -0.14 -0.88 9.12 37.16 0.34 -0.54 16 4 N -0.52 -4.58 4.45 -236.34 -1.05 -5.63 16 5 C 0.01 0.11 8.33 60.07 0.50 0.61 16 6 C 0.03 0.26 5.02 -4.98 -0.02 0.24 16 7 C 0.51 5.49 7.55 -10.99 -0.08 5.41 16 8 O -0.52 -7.92 14.31 5.55 0.08 -7.84 16 9 N -0.73 -6.55 5.50 -60.29 -0.33 -6.88 16 10 C 0.13 1.49 5.13 -4.04 -0.02 1.47 16 11 C -0.11 -1.28 3.04 -88.34 -0.27 -1.55 16 12 H 0.09 0.94 8.14 -51.93 -0.42 0.52 16 13 C -0.14 -1.34 6.38 -24.76 -0.16 -1.50 16 14 C 0.04 0.48 6.89 -2.83 -0.02 0.46 16 15 N -0.51 -8.30 5.07 -232.69 -1.18 -9.48 16 16 C 0.04 0.73 5.07 -4.98 -0.03 0.70 16 17 C 0.44 10.41 7.34 -10.99 -0.08 10.33 16 18 O -0.58 -15.45 13.89 5.54 0.08 -15.37 16 19 N -0.56 -14.35 5.29 -10.97 -0.06 -14.40 16 20 C -0.30 -8.34 9.68 -14.93 -0.14 -8.49 16 21 H 0.10 3.04 7.16 -52.49 -0.38 2.66 16 22 C 0.02 0.59 5.50 -17.47 -0.10 0.49 16 23 N -0.90 -24.68 13.05 55.50 0.72 -23.95 16 24 Si 0.93 21.22 29.55 -169.99 -5.02 16.20 16 25 H -0.27 -6.12 7.11 56.52 0.40 -5.72 16 26 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 27 H -0.28 -6.35 7.11 56.52 0.40 -5.95 16 28 C 0.07 1.05 4.75 -2.30 -0.01 1.04 16 29 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 30 H 0.05 0.28 6.91 -51.92 -0.36 -0.08 16 31 H 0.06 0.37 6.42 -51.93 -0.33 0.03 16 32 H 0.08 0.48 7.93 -51.93 -0.41 0.07 16 33 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 35 H 0.06 0.37 6.47 -51.93 -0.34 0.03 16 36 H 0.09 1.04 5.88 -51.93 -0.31 0.74 16 37 H 0.07 0.59 6.30 -51.93 -0.33 0.26 16 38 H 0.02 0.20 6.46 -51.93 -0.34 -0.14 16 39 H 0.10 0.57 7.93 -51.93 -0.41 0.16 16 40 H 0.06 0.38 7.06 -51.93 -0.37 0.01 16 41 H 0.40 2.39 8.47 -40.82 -0.35 2.04 16 42 H 0.07 0.93 8.14 -51.93 -0.42 0.50 16 43 H 0.07 0.88 7.98 -51.93 -0.41 0.46 16 44 H 0.07 0.70 7.92 -51.93 -0.41 0.29 16 45 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 46 H 0.05 0.61 7.58 -51.93 -0.39 0.22 16 47 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 48 H 0.09 1.47 8.14 -51.93 -0.42 1.05 16 49 H 0.05 0.77 8.13 -51.93 -0.42 0.35 16 50 H 0.39 9.56 7.90 -40.82 -0.32 9.24 16 51 H 0.27 7.00 8.31 -40.82 -0.34 6.66 16 52 H 0.10 1.92 6.94 -51.92 -0.36 1.56 16 53 H 0.04 0.78 7.63 -51.93 -0.40 0.38 16 LS Contribution 412.10 15.07 6.21 6.21 Total: -1.00 -33.49 412.10 -9.67 -43.16 By element: Atomic # 1 Polarization: 18.86 SS G_CDS: -9.15 Total: 9.72 kcal Atomic # 6 Polarization: 8.24 SS G_CDS: 0.02 Total: 8.26 kcal Atomic # 7 Polarization: -58.45 SS G_CDS: -1.90 Total: -60.34 kcal Atomic # 8 Polarization: -23.37 SS G_CDS: 0.16 Total: -23.21 kcal Atomic # 14 Polarization: 21.22 SS G_CDS: -5.02 Total: 16.20 kcal Total LS contribution 6.21 Total: 6.21 kcal Total: -33.49 -9.67 -43.16 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. ZINC001714649764.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 -15.374 kcal (2) G-P(sol) polarization free energy of solvation -33.488 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -48.862 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.675 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.163 kcal (6) G-S(sol) free energy of system = (1) + (5) -58.537 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds