Wall clock time and date at job start Tue Mar 9 2021 13:26:04 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 O 1.45194 * 1 3 3 C 1.34228 * 117.00246 * 2 1 4 4 O 1.20822 * 119.99986 * 359.97438 * 3 2 1 5 5 C 1.50701 * 119.99930 * 179.97438 * 3 2 1 6 6 C 1.52998 * 109.47153 * 179.97438 * 5 3 2 7 7 C 1.53000 * 109.47317 * 180.02562 * 6 5 3 8 8 H 1.09003 * 112.85150 * 43.80519 * 7 6 5 9 9 C 1.53785 * 113.61474 * 174.99825 * 7 6 5 10 10 C 1.53784 * 87.07913 * 139.98205 * 9 7 6 11 11 H 1.08998 * 113.61238 * 89.20112 * 10 9 7 12 12 N 1.46501 * 113.61165 * 220.02250 * 10 9 7 13 13 C 1.34777 * 119.99720 * 205.00256 * 12 10 9 14 14 O 1.21282 * 120.00261 * 359.97438 * 13 12 10 15 15 C 1.50704 * 119.99814 * 179.97438 * 13 12 10 16 16 C 1.52993 * 109.47020 * 64.99735 * 15 13 12 17 17 O 1.42907 * 109.46821 * 184.99822 * 15 13 12 18 18 C 1.36019 * 116.99852 * 149.99853 * 17 15 13 19 19 C 1.38624 * 120.07878 * 269.97585 * 18 17 15 20 20 Cl 1.73599 * 120.00893 * 0.02562 * 19 18 17 21 21 C 1.38379 * 119.97817 * 179.74801 * 19 18 17 22 22 C 1.38212 * 120.12996 * 0.54936 * 21 19 18 23 23 C 1.50703 * 119.92061 * 179.72478 * 22 21 19 24 24 O 1.42896 * 109.47055 * 119.72837 * 23 22 21 25 25 Si 1.86304 * 109.46911 * 359.72729 * 23 22 21 26 26 C 1.38278 * 120.15793 * 359.45044 * 22 21 19 27 27 C 1.38561 * 120.01542 * 0.27311 * 26 22 21 28 28 O 1.35989 * 120.06113 * 179.97438 * 27 26 22 29 29 C 1.42901 * 117.00593 * 0.02562 * 28 27 26 30 30 C 1.53781 * 113.61532 * 272.49700 * 7 6 5 31 31 H 1.09005 * 109.46899 * 300.00308 * 1 2 3 32 32 H 1.09003 * 109.47227 * 59.99904 * 1 2 3 33 33 H 1.08998 * 109.47187 * 180.02562 * 1 2 3 34 34 H 1.09000 * 109.47213 * 60.00227 * 5 3 2 35 35 H 1.08997 * 109.47040 * 299.99939 * 5 3 2 36 36 H 1.08997 * 109.47405 * 59.99564 * 6 5 3 37 37 H 1.09006 * 109.46974 * 300.00086 * 6 5 3 38 38 H 1.09000 * 113.61353 * 25.43144 * 9 7 6 39 39 H 1.08997 * 113.61527 * 254.52897 * 9 7 6 40 40 H 0.96999 * 120.00164 * 24.99676 * 12 10 9 41 41 H 1.08993 * 109.47049 * 304.99514 * 15 13 12 42 42 H 1.09003 * 109.47052 * 179.97438 * 16 15 13 43 43 H 1.08996 * 109.47376 * 299.99837 * 16 15 13 44 44 H 1.09006 * 109.47593 * 60.00157 * 16 15 13 45 45 H 1.07994 * 119.93140 * 180.27335 * 21 19 18 46 46 H 1.09002 * 109.47152 * 239.72645 * 23 22 21 47 47 H 0.96703 * 114.00193 * 180.02562 * 24 23 22 48 48 H 1.48495 * 110.00011 * 60.00027 * 25 23 22 49 49 H 1.48509 * 109.99497 * 181.32041 * 25 23 22 50 50 H 1.07997 * 119.99107 * 180.24930 * 26 22 21 51 51 H 1.08999 * 109.46554 * 300.00136 * 29 28 27 52 52 H 1.09003 * 109.46967 * 59.99174 * 29 28 27 53 53 H 1.08995 * 109.47543 * 179.97438 * 29 28 27 54 54 H 1.08998 * 113.61569 * 105.47154 * 30 7 6 55 55 H 1.08998 * 113.61280 * 334.56786 * 30 7 6 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 8 1.4519 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4034 2.2093 -0.0005 5 6 3.5663 1.2747 0.0006 6 6 4.0002 2.7419 -0.0002 7 6 5.5281 2.8219 -0.0002 8 1 5.9888 2.1198 -0.6952 9 6 6.0699 4.2559 -0.1238 10 6 7.1386 3.8570 0.9075 11 1 8.0410 3.4388 0.4617 12 7 7.4229 4.9034 1.8926 13 6 8.6181 4.9365 2.5147 14 8 9.4580 4.0997 2.2593 15 6 8.9108 6.0133 3.5276 16 6 7.9810 5.8475 4.7312 17 8 10.2696 5.9066 3.9570 18 6 10.8905 7.0568 4.3332 19 6 11.5779 7.8136 3.3971 20 17 11.6468 7.2941 1.7421 21 6 12.2044 8.9862 3.7811 22 6 12.1559 9.3991 5.0992 23 6 12.8450 10.6737 5.5134 24 8 11.8821 11.5834 6.0492 25 14 13.6694 11.4440 4.0309 26 6 11.4717 8.6486 6.0376 27 6 10.8373 7.4763 5.6589 28 8 10.1647 6.7372 6.5811 29 6 10.1522 7.2288 7.9228 30 6 6.1465 2.7936 1.4075 31 1 -0.3633 0.5139 0.8900 32 1 -0.3634 0.5139 -0.8900 33 1 -0.3633 -1.0276 0.0005 34 1 3.9564 0.7805 -0.8892 35 1 3.9556 0.7808 0.8908 36 1 3.6101 3.2367 0.8892 37 1 3.6109 3.2355 -0.8907 38 1 5.3776 5.0168 0.2366 39 1 6.4774 4.4853 -1.1084 40 1 6.7511 5.5725 2.0970 41 1 8.7485 6.9915 3.0751 42 1 8.1930 6.6261 5.4640 43 1 6.9446 5.9289 4.4037 44 1 8.1433 4.8692 5.1838 45 1 12.7360 9.5774 3.0503 46 1 13.5957 10.4510 6.2717 47 1 12.2559 12.4276 6.3368 48 1 12.6565 11.7524 2.9897 49 1 14.3794 12.6851 4.4323 50 1 11.4321 8.9759 7.0660 51 1 11.1749 7.2993 8.2934 52 1 9.6894 8.2154 7.9440 53 1 9.5828 6.5470 8.5544 54 1 6.6160 1.8426 1.6591 55 1 5.4752 3.1547 2.1866 There are 77 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 77 No. of singly occupied orbitals= 1 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). Cl: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_14475074_13428712.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 13:26:04 Heat of formation + Delta-G solvation = -176.022167 kcal Electronic energy + Delta-G solvation = -39255.422992 eV Core-core repulsion = 33866.230109 eV Total energy + Delta-G solvation = -5389.192883 eV No. of doubly occupied orbitals = 77 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 428.157 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -41.99781 -41.57315 -41.18374 -39.90387 -39.19815 -38.79862 -37.81436 -37.62529 -37.05727 -35.28286 -33.77803 -32.70707 -31.45093 -31.35592 -29.08931 -28.55554 -27.04554 -26.67781 -26.58034 -25.42348 -23.66685 -23.25760 -22.54988 -21.69943 -21.42715 -20.60794 -19.63990 -18.73923 -18.63162 -18.51469 -18.34624 -17.99921 -17.68547 -17.52136 -17.31667 -16.84928 -16.67766 -16.34170 -16.19868 -16.01048 -15.94580 -15.67471 -15.44006 -15.15016 -14.77453 -14.58608 -14.54643 -14.18544 -14.11506 -13.99135 -13.90635 -13.82128 -13.44733 -13.38329 -13.29025 -13.24919 -13.02131 -12.96719 -12.76134 -12.72851 -12.67867 -12.41040 -12.27251 -12.16895 -11.97645 -11.89540 -11.81692 -11.76401 -11.69145 -11.38082 -11.36779 -11.17057 -10.68915 -10.58356 -10.06239 -9.85042 -9.41752 -4.93895 -0.34771 -0.03168 0.84093 1.15542 1.22670 1.47260 1.56673 1.64789 1.79083 1.91547 2.16293 2.21428 2.71201 3.19223 3.50729 3.53783 3.58624 3.59621 3.72575 3.74610 3.78903 3.82643 3.86228 3.87581 3.97884 4.02371 4.07415 4.16922 4.25104 4.26263 4.27474 4.30850 4.35963 4.42034 4.53382 4.57711 4.65462 4.67307 4.68569 4.70043 4.71999 4.74450 4.80231 4.82567 4.89373 4.95050 5.08430 5.09081 5.11370 5.15326 5.21861 5.24587 5.35240 5.43130 5.62016 5.91460 6.31966 6.49165 6.55873 6.69409 7.15152 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.028 3.972 2 O -0.369 6.369 3 C 0.456 3.544 4 O -0.544 6.544 5 C -0.110 4.110 6 C -0.090 4.090 7 C -0.097 4.097 8 H 0.108 0.892 9 C -0.132 4.132 10 C 0.114 3.886 11 H 0.095 0.905 12 N -0.703 5.703 13 C 0.518 3.482 14 O -0.561 6.561 15 C 0.072 3.928 16 C -0.160 4.160 17 O -0.306 6.306 18 C 0.052 3.948 19 C -0.023 4.023 20 Cl -0.048 7.048 21 C -0.137 4.137 22 C -0.025 4.025 23 C -0.076 4.076 24 O -0.552 6.552 25 Si 0.741 3.259 26 C -0.164 4.164 27 C 0.127 3.873 28 O -0.312 6.312 29 C 0.013 3.987 30 C -0.145 4.145 31 H 0.060 0.940 32 H 0.060 0.940 33 H 0.127 0.873 34 H 0.127 0.873 35 H 0.123 0.877 36 H 0.067 0.933 37 H 0.067 0.933 38 H 0.099 0.901 39 H 0.079 0.921 40 H 0.415 0.585 41 H 0.098 0.902 42 H 0.078 0.922 43 H 0.097 0.903 44 H 0.060 0.940 45 H 0.154 0.846 46 H 0.112 0.888 47 H 0.400 0.600 48 H -0.296 1.296 49 H -0.276 1.276 50 H 0.162 0.838 51 H 0.069 0.931 52 H 0.069 0.931 53 H 0.119 0.881 54 H 0.068 0.932 55 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.864 2.577 3.706 4.596 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 -0.065 4.065 2 O -0.286 6.286 3 C 0.301 3.699 4 O -0.435 6.435 5 C -0.147 4.147 6 C -0.128 4.128 7 C -0.116 4.116 8 H 0.126 0.874 9 C -0.170 4.170 10 C 0.009 3.991 11 H 0.113 0.887 12 N -0.356 5.356 13 C 0.304 3.696 14 O -0.438 6.438 15 C 0.013 3.987 16 C -0.217 4.217 17 O -0.221 6.221 18 C 0.006 3.994 19 C -0.050 4.050 20 Cl -0.018 7.018 21 C -0.155 4.155 22 C -0.026 4.026 23 C -0.185 4.185 24 O -0.363 6.363 25 Si 0.646 3.354 26 C -0.183 4.183 27 C 0.080 3.920 28 O -0.225 6.225 29 C -0.081 4.081 30 C -0.183 4.183 31 H 0.078 0.922 32 H 0.079 0.921 33 H 0.145 0.855 34 H 0.145 0.855 35 H 0.141 0.859 36 H 0.085 0.915 37 H 0.086 0.914 38 H 0.117 0.883 39 H 0.098 0.902 40 H 0.253 0.747 41 H 0.116 0.884 42 H 0.097 0.903 43 H 0.116 0.884 44 H 0.079 0.921 45 H 0.171 0.829 46 H 0.129 0.871 47 H 0.251 0.749 48 H -0.224 1.224 49 H -0.202 1.202 50 H 0.180 0.820 51 H 0.087 0.913 52 H 0.088 0.912 53 H 0.137 0.863 54 H 0.087 0.913 55 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges -0.860 2.053 2.714 3.510 hybrid contribution -0.978 1.367 0.749 1.840 sum -1.838 3.420 3.464 5.203 Atomic orbital electron populations 1.23487 0.75250 1.05472 1.02339 1.86517 1.24691 1.33597 1.83747 1.24588 0.93582 0.80799 0.70930 1.90668 1.68381 1.37397 1.47007 1.21565 0.84841 1.00563 1.07770 1.21316 0.94414 0.93776 1.03272 1.22313 0.94125 0.97635 0.97487 0.87390 1.23388 0.96768 0.97701 0.99178 1.22587 0.97576 0.89046 0.89867 0.88722 1.45819 1.15439 1.32452 1.41937 1.20534 0.82290 0.85515 0.81280 1.90723 1.47464 1.41010 1.64627 1.22343 0.82649 0.98290 0.95444 1.22224 0.98954 1.03954 0.96594 1.86258 1.25319 1.26562 1.84007 1.17774 1.01810 0.90176 0.89597 1.21033 1.01919 0.95621 0.86427 1.98408 1.97080 1.90512 1.15850 1.20839 1.02385 0.95776 0.96518 1.19212 0.96504 0.95094 0.91784 1.24827 0.94847 0.90119 1.08731 1.86518 1.36479 1.30488 1.82788 0.94150 0.82115 0.83125 0.76035 1.21309 1.00581 0.94028 1.02349 1.19197 0.93317 0.90761 0.88708 1.86211 1.68589 1.48270 1.19422 1.23462 1.03730 1.01962 0.78948 1.23570 0.97910 0.99253 0.97593 0.92154 0.92134 0.85503 0.85530 0.85907 0.91454 0.91389 0.88258 0.90227 0.74736 0.88436 0.90280 0.88420 0.92105 0.82861 0.87054 0.74907 1.22363 1.20197 0.82023 0.91268 0.91239 0.86262 0.91276 0.88868 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 0.03 -0.02 10.56 113.37 1.20 1.18 16 2 O -0.37 -1.06 10.56 -51.40 -0.54 -1.60 16 3 C 0.46 1.50 7.96 71.24 0.57 2.06 16 4 O -0.54 -5.35 15.73 21.98 0.35 -5.00 16 5 C -0.11 0.47 5.80 29.85 0.17 0.65 16 6 C -0.09 0.34 4.34 30.59 0.13 0.47 16 7 C -0.10 0.53 3.65 -10.27 -0.04 0.49 16 8 H 0.11 -0.74 8.13 -2.39 -0.02 -0.75 16 9 C -0.13 0.62 7.39 31.12 0.23 0.85 16 10 C 0.11 -0.03 4.24 45.52 0.19 0.16 16 11 H 0.09 0.45 7.46 -2.39 -0.02 0.43 16 12 N -0.70 -0.03 5.32 -440.02 -2.34 -2.37 16 13 C 0.52 3.99 7.18 87.66 0.63 4.62 16 14 O -0.56 -9.80 16.11 15.96 0.26 -9.55 16 15 C 0.07 0.36 3.19 29.85 0.10 0.46 16 16 C -0.16 -0.06 9.05 71.98 0.65 0.60 16 17 O -0.31 -3.43 8.48 -67.38 -0.57 -4.00 16 18 C 0.05 0.42 5.56 22.58 0.13 0.54 16 19 C -0.02 -0.15 6.33 22.40 0.14 -0.01 16 20 Cl -0.05 -0.39 28.50 -2.72 -0.08 -0.47 16 21 C -0.14 -0.38 8.45 22.30 0.19 -0.19 16 22 C -0.03 -0.02 5.42 -19.86 -0.11 -0.13 16 23 C -0.08 0.27 2.81 71.24 0.20 0.48 16 24 O -0.55 1.16 12.74 -148.98 -1.90 -0.74 16 25 Si 0.74 -2.29 29.78 68.60 2.04 -0.24 16 26 C -0.16 -0.14 8.60 22.36 0.19 0.05 16 27 C 0.13 0.57 6.54 22.57 0.15 0.72 16 28 O -0.31 -0.94 8.19 -79.56 -0.65 -1.59 16 29 C 0.01 -0.06 9.81 113.37 1.11 1.05 16 30 C -0.14 0.45 7.43 31.12 0.23 0.68 16 31 H 0.06 -0.01 8.13 -2.38 -0.02 -0.03 16 32 H 0.06 -0.01 8.13 -2.39 -0.02 -0.02 16 33 H 0.13 -0.78 8.14 -2.39 -0.02 -0.80 16 34 H 0.13 -0.99 8.14 -2.39 -0.02 -1.01 16 35 H 0.12 -0.87 8.14 -2.39 -0.02 -0.89 16 36 H 0.07 -0.13 7.80 -2.39 -0.02 -0.15 16 37 H 0.07 -0.11 8.10 -2.38 -0.02 -0.13 16 38 H 0.10 -0.65 8.08 -2.39 -0.02 -0.67 16 39 H 0.08 -0.36 8.14 -2.39 -0.02 -0.37 16 40 H 0.42 -2.58 8.51 -92.71 -0.79 -3.37 16 41 H 0.10 0.19 7.91 -2.39 -0.02 0.17 16 42 H 0.08 0.04 6.28 -2.39 -0.01 0.03 16 43 H 0.10 -0.55 7.92 -2.39 -0.02 -0.57 16 44 H 0.06 0.22 8.14 -2.38 -0.02 0.20 16 45 H 0.15 -0.06 4.87 -2.91 -0.01 -0.07 16 46 H 0.11 -0.96 7.96 -2.39 -0.02 -0.98 16 47 H 0.40 -3.98 8.74 -74.05 -0.65 -4.63 16 48 H -0.30 -1.37 7.11 99.48 0.71 -0.66 16 49 H -0.28 -0.06 7.11 99.48 0.71 0.65 16 50 H 0.16 -0.56 6.30 -2.91 -0.02 -0.57 16 51 H 0.07 -0.47 7.66 -2.39 -0.02 -0.48 16 52 H 0.07 -0.48 7.66 -2.39 -0.02 -0.50 16 53 H 0.12 -0.94 8.14 -2.39 -0.02 -0.96 16 54 H 0.07 -0.09 8.14 -2.39 -0.02 -0.11 16 55 H 0.09 -0.38 7.90 -2.39 -0.02 -0.40 16 Total: 0.00 -29.69 468.48 2.18 -27.52 By element: Atomic # 1 Polarization: -16.22 SS G_CDS: -0.45 Total: -16.67 kcal Atomic # 6 Polarization: 8.65 SS G_CDS: 6.06 Total: 14.72 kcal Atomic # 7 Polarization: -0.03 SS G_CDS: -2.34 Total: -2.37 kcal Atomic # 8 Polarization: -19.42 SS G_CDS: -3.06 Total: -22.48 kcal Atomic # 14 Polarization: -2.29 SS G_CDS: 2.04 Total: -0.24 kcal Atomic # 17 Polarization: -0.39 SS G_CDS: -0.08 Total: -0.47 kcal Total: -29.69 2.18 -27.52 kcal The number of atoms in the molecule is 55 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. s_22_14475074_13428712.mol2 55 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 -148.507 kcal (2) G-P(sol) polarization free energy of solvation -29.692 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -178.198 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.176 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -27.515 kcal (6) G-S(sol) free energy of system = (1) + (5) -176.022 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds