Wall clock time and date at job start Sat Mar 6 2021 19:57:45 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= 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 C 1.50706 * 1 3 3 C 1.35451 * 125.56501 * 2 1 4 4 C 1.50699 * 126.06988 * 359.97438 * 3 2 1 5 5 O 1.42897 * 109.47380 * 115.78577 * 4 3 2 6 6 Si 1.86294 * 109.47103 * 235.78700 * 4 3 2 7 7 C 1.39843 * 107.86212 * 179.97438 * 3 2 1 8 8 C 1.50697 * 126.45217 * 180.02562 * 7 3 2 9 9 C 1.37872 * 107.08710 * 359.76124 * 7 3 2 10 10 C 1.46669 * 126.23659 * 180.23815 * 9 7 3 11 11 O 1.21700 * 120.00061 * 0.19387 * 10 9 7 12 12 N 1.34771 * 120.00495 * 180.20180 * 10 9 7 13 13 C 1.46499 * 120.00513 * 179.97438 * 12 10 9 14 14 H 1.08998 * 112.84807 * 336.19253 * 13 12 10 15 15 C 1.53785 * 113.61527 * 107.49671 * 13 12 10 16 16 C 1.53782 * 87.08066 * 89.11860 * 15 13 12 17 17 H 1.08999 * 113.69111 * 270.87378 * 16 15 13 18 18 C 1.53004 * 113.61339 * 139.98091 * 16 15 13 19 19 N 1.46489 * 109.47182 * 87.50246 * 18 16 15 20 20 C 1.34773 * 120.00281 * 179.97438 * 19 18 16 21 21 O 1.21508 * 119.99608 * 359.97438 * 20 19 18 22 22 O 1.34637 * 120.00491 * 180.02562 * 20 19 18 23 23 C 1.45196 * 117.00121 * 180.02562 * 22 20 19 24 24 C 1.52993 * 109.47512 * 59.99754 * 23 22 20 25 25 C 1.53006 * 109.46898 * 179.97438 * 23 22 20 26 26 C 1.52999 * 109.46976 * 299.99386 * 23 22 20 27 27 C 1.53777 * 113.61811 * 204.99804 * 13 12 10 28 28 N 1.35539 * 125.56297 * 179.97438 * 2 1 3 29 29 H 1.08997 * 109.47069 * 275.30780 * 1 2 3 30 30 H 1.09006 * 109.46558 * 35.30293 * 1 2 3 31 31 H 1.09001 * 109.47159 * 155.30216 * 1 2 3 32 32 H 1.08997 * 109.46782 * 355.78409 * 4 3 2 33 33 H 0.96700 * 114.00134 * 59.99747 * 5 4 3 34 34 H 1.48504 * 110.00064 * 64.49989 * 6 4 3 35 35 H 1.48494 * 110.00281 * 185.82149 * 6 4 3 36 36 H 1.08994 * 109.47309 * 90.00527 * 8 7 3 37 37 H 1.09003 * 109.46881 * 209.99927 * 8 7 3 38 38 H 1.08995 * 109.47573 * 329.99564 * 8 7 3 39 39 H 0.97000 * 119.99727 * 359.97438 * 12 10 9 40 40 H 1.09005 * 113.61029 * 203.66689 * 15 13 12 41 41 H 1.08999 * 113.61836 * 334.56816 * 15 13 12 42 42 H 1.09002 * 109.46795 * 207.50304 * 18 16 15 43 43 H 1.08998 * 109.46951 * 327.49688 * 18 16 15 44 44 H 0.97005 * 120.00092 * 0.02562 * 19 18 16 45 45 H 1.09005 * 109.47419 * 59.99890 * 24 23 22 46 46 H 1.08997 * 109.47291 * 179.97438 * 24 23 22 47 47 H 1.09002 * 109.46839 * 299.99886 * 24 23 22 48 48 H 1.08995 * 109.47286 * 60.00203 * 25 23 22 49 49 H 1.09011 * 109.46969 * 179.97438 * 25 23 22 50 50 H 1.08998 * 109.47298 * 299.99288 * 25 23 22 51 51 H 1.09002 * 109.47130 * 60.00264 * 26 23 22 52 52 H 1.09005 * 109.47215 * 180.02562 * 26 23 22 53 53 H 1.09005 * 109.47526 * 300.00173 * 26 23 22 54 54 H 1.09004 * 113.61660 * 25.42562 * 27 13 12 55 55 H 1.08996 * 113.61986 * 156.33210 * 27 13 12 56 56 H 0.97000 * 125.67269 * 359.97438 * 28 2 1 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 1.5071 0.0000 0.0000 3 6 2.2949 1.1018 0.0000 4 6 1.8201 2.5321 -0.0005 5 8 2.2257 3.1692 1.2125 6 14 2.5622 3.4322 -1.4530 7 6 3.6271 0.6766 0.0006 8 6 4.8486 1.5591 0.0014 9 6 3.6123 -0.7020 0.0064 10 6 4.7859 -1.5817 0.0140 11 8 5.9049 -1.1032 0.0192 12 7 4.6252 -2.9198 0.0151 13 6 5.7975 -3.7984 0.0221 14 1 6.6893 -3.3174 -0.3796 15 6 6.0298 -4.5050 1.3681 16 6 5.1227 -5.6309 0.8441 17 1 4.0658 -5.4795 1.0631 18 6 5.6111 -7.0331 1.2131 19 7 5.0779 -7.4062 2.5256 20 6 5.3776 -8.6076 3.0580 21 8 6.0896 -9.3813 2.4491 22 8 4.8871 -8.9507 4.2640 23 6 5.2517 -10.2597 4.7757 24 6 6.7731 -10.3493 4.9100 25 6 4.6059 -10.4692 6.1469 26 6 4.7605 -11.3398 3.8097 27 6 5.5275 -5.1905 -0.5727 28 7 2.2954 -1.1026 0.0005 29 1 -0.3633 0.0951 1.0232 30 1 -0.3633 0.8388 -0.5939 31 1 -0.3633 -0.9337 -0.4294 32 1 0.7330 2.5539 -0.0765 33 1 3.1833 3.1864 1.3466 34 1 2.0617 2.8471 -2.7228 35 1 2.2162 4.8748 -1.3873 36 1 5.1427 1.7716 1.0291 37 1 5.6646 1.0504 -0.5122 38 1 4.6224 2.4933 -0.5125 39 1 3.7333 -3.3011 0.0113 40 1 7.0629 -4.8144 1.5262 41 1 5.6123 -3.9689 2.2205 42 1 5.2663 -7.7466 0.4646 43 1 6.7005 -7.0410 1.2478 44 1 4.5086 -6.7890 3.0111 45 1 7.1231 -9.5798 5.5982 46 1 7.0467 -11.3317 5.2945 47 1 7.2334 -10.1998 3.9333 48 1 3.5220 -10.4054 6.0516 49 1 4.8793 -11.4522 6.5309 50 1 4.9562 -9.6998 6.8349 51 1 5.2209 -11.1904 2.8331 52 1 5.0338 -12.3226 4.1941 53 1 3.6765 -11.2761 3.7140 54 1 4.7045 -5.2081 -1.2871 55 1 6.4233 -5.6875 -0.9452 56 1 1.9833 -2.0210 0.0013 There are 72 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 72 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). 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_13437852_12297754.mol2 56 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 19:57:45 Heat of formation + Delta-G solvation = -91.438793 kcal Electronic energy + Delta-G solvation = -35232.314464 eV Core-core repulsion = 30530.252649 eV Total energy + Delta-G solvation = -4702.061815 eV No. of doubly occupied orbitals = 72 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 380.219 amu Computer time = 1.36 seconds Orbital eigenvalues (eV) -42.67040 -41.85779 -41.07101 -39.42779 -38.29031 -37.74345 -35.98000 -35.03478 -34.30874 -33.68896 -32.74505 -29.27667 -29.20396 -28.39333 -28.32527 -27.37916 -26.72063 -26.39587 -24.25756 -22.92881 -22.64776 -21.28134 -20.95627 -20.42178 -19.99754 -19.37865 -19.12605 -17.72777 -17.66314 -17.34199 -17.08261 -16.79817 -16.45782 -16.37420 -16.01654 -15.81758 -15.63465 -15.37861 -15.26859 -15.18645 -14.76711 -14.74926 -14.48950 -14.30366 -14.10363 -13.97918 -13.81913 -13.61939 -13.47080 -13.37980 -13.24772 -13.15996 -13.11711 -12.96547 -12.93882 -12.88835 -12.64132 -12.48155 -12.37256 -12.35022 -12.08054 -12.03058 -11.66416 -11.42395 -11.32196 -11.12914 -11.06711 -10.55343 -10.25777 -10.15765 -9.54502 -8.97709 -4.90566 0.37528 1.15678 1.23330 1.52846 1.72146 1.73440 1.92821 1.99678 2.12592 2.28548 3.09696 3.42210 3.56565 3.66511 3.71248 3.72122 3.76702 3.77218 3.83766 3.86812 3.92052 4.01348 4.14362 4.21849 4.35072 4.46204 4.47492 4.52729 4.57909 4.58744 4.59502 4.69998 4.70949 4.73904 4.77059 4.80038 4.82823 4.84308 4.85144 4.93041 4.96141 4.98438 5.03911 5.05735 5.08769 5.13549 5.18234 5.23730 5.24469 5.33717 5.36170 5.54889 5.58315 5.71225 5.89736 6.36499 6.37157 6.54158 6.76095 7.12005 7.31536 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.097 4.097 2 C 0.082 3.918 3 C -0.227 4.227 4 C -0.026 4.026 5 O -0.557 6.557 6 Si 0.727 3.273 7 C -0.072 4.072 8 C -0.095 4.095 9 C -0.075 4.075 10 C 0.592 3.408 11 O -0.558 6.558 12 N -0.701 5.701 13 C 0.116 3.884 14 H 0.089 0.911 15 C -0.144 4.144 16 C -0.109 4.109 17 H 0.115 0.885 18 C 0.148 3.852 19 N -0.699 5.699 20 C 0.640 3.360 21 O -0.596 6.596 22 O -0.370 6.370 23 C 0.127 3.873 24 C -0.180 4.180 25 C -0.138 4.138 26 C -0.179 4.179 27 C -0.123 4.123 28 N -0.521 5.521 29 H 0.087 0.913 30 H 0.085 0.915 31 H 0.089 0.911 32 H 0.113 0.887 33 H 0.387 0.613 34 H -0.291 1.291 35 H -0.288 1.288 36 H 0.084 0.916 37 H 0.074 0.926 38 H 0.085 0.915 39 H 0.408 0.592 40 H 0.093 0.907 41 H 0.069 0.931 42 H 0.069 0.931 43 H 0.065 0.935 44 H 0.416 0.584 45 H 0.061 0.939 46 H 0.086 0.914 47 H 0.063 0.937 48 H 0.070 0.930 49 H 0.098 0.902 50 H 0.068 0.932 51 H 0.063 0.937 52 H 0.086 0.914 53 H 0.062 0.938 54 H 0.091 0.909 55 H 0.107 0.893 56 H 0.430 0.570 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.116 -3.002 0.751 5.149 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 -0.154 4.154 2 C -0.038 4.038 3 C -0.233 4.233 4 C -0.137 4.137 5 O -0.364 6.364 6 Si 0.633 3.367 7 C -0.081 4.081 8 C -0.151 4.151 9 C -0.187 4.187 10 C 0.381 3.619 11 O -0.437 6.437 12 N -0.352 5.352 13 C 0.010 3.990 14 H 0.108 0.892 15 C -0.183 4.183 16 C -0.128 4.128 17 H 0.133 0.867 18 C 0.026 3.974 19 N -0.359 5.359 20 C 0.394 3.606 21 O -0.487 6.487 22 O -0.285 6.285 23 C 0.091 3.909 24 C -0.237 4.237 25 C -0.195 4.195 26 C -0.237 4.237 27 C -0.162 4.162 28 N -0.120 5.120 29 H 0.106 0.894 30 H 0.104 0.896 31 H 0.108 0.892 32 H 0.130 0.870 33 H 0.236 0.764 34 H -0.218 1.218 35 H -0.215 1.215 36 H 0.102 0.898 37 H 0.093 0.907 38 H 0.103 0.897 39 H 0.244 0.756 40 H 0.111 0.889 41 H 0.087 0.913 42 H 0.088 0.912 43 H 0.084 0.916 44 H 0.253 0.747 45 H 0.080 0.920 46 H 0.105 0.895 47 H 0.082 0.918 48 H 0.089 0.911 49 H 0.117 0.883 50 H 0.088 0.912 51 H 0.082 0.918 52 H 0.105 0.895 53 H 0.081 0.919 54 H 0.110 0.890 55 H 0.125 0.875 56 H 0.271 0.729 Dipole moment (debyes) X Y Z Total from point charges -3.738 -2.760 -0.145 4.648 hybrid contribution -1.044 -0.704 0.342 1.304 sum -4.781 -3.463 0.197 5.907 Atomic orbital electron populations 1.20596 0.85725 1.04838 1.04252 1.20670 0.94651 0.85477 1.02954 1.19561 0.92774 0.95401 1.15563 1.24237 1.02547 0.91048 0.95905 1.86446 1.29546 1.79606 1.40832 0.93854 0.92308 0.75977 0.74547 1.19975 0.95066 0.91791 1.01219 1.20525 0.93896 0.97428 1.03248 1.19943 0.83398 0.93883 1.21475 1.17105 0.87146 0.81969 0.75631 1.90825 1.25456 1.75666 1.51737 1.45390 1.09981 1.04696 1.75183 1.21834 0.89069 0.90291 0.97782 0.89247 1.23525 1.00961 0.96544 0.97282 1.22827 1.01015 0.91582 0.97339 0.86658 1.21425 0.98608 0.95887 0.81511 1.44737 1.54389 1.15082 1.21666 1.18401 0.78773 0.83194 0.80269 1.90910 1.42147 1.52115 1.63524 1.86306 1.70227 1.39059 1.32913 1.22344 0.95631 0.78073 0.94875 1.22474 0.94322 1.03723 1.03229 1.21893 1.01507 1.03861 0.92220 1.22470 1.01668 0.99012 1.00517 1.23278 1.03930 0.93221 0.95727 1.41742 1.04420 1.09008 1.56808 0.89431 0.89607 0.89179 0.86994 0.76353 1.21798 1.21513 0.89754 0.90686 0.89744 0.75551 0.88860 0.91262 0.91221 0.91632 0.74740 0.92018 0.89480 0.91806 0.91129 0.88343 0.91246 0.91777 0.89512 0.91877 0.89047 0.87508 0.72934 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 -0.10 0.70 9.97 71.24 0.71 1.41 16 2 C 0.08 -0.18 7.13 41.34 0.29 0.11 16 3 C -0.23 -0.26 4.64 -20.12 -0.09 -0.36 16 4 C -0.03 -0.03 2.87 71.24 0.20 0.17 16 5 O -0.56 -1.60 12.88 -148.98 -1.92 -3.52 16 6 Si 0.73 1.27 29.39 68.60 2.02 3.29 16 7 C -0.07 -0.16 5.81 -19.56 -0.11 -0.27 16 8 C -0.10 0.00 8.55 71.24 0.61 0.61 16 9 C -0.08 -0.07 7.06 40.35 0.28 0.21 16 10 C 0.59 1.47 7.79 86.45 0.67 2.14 16 11 O -0.56 -5.52 14.41 -4.35 -0.06 -5.58 16 12 N -0.70 3.44 5.26 -444.01 -2.33 1.10 16 13 C 0.12 -0.53 4.32 45.52 0.20 -0.33 16 14 H 0.09 0.03 7.46 -2.39 -0.02 0.01 16 15 C -0.14 0.84 7.43 31.12 0.23 1.07 16 16 C -0.11 1.01 3.63 -10.26 -0.04 0.98 16 17 H 0.12 -1.45 8.14 -2.39 -0.02 -1.47 16 18 C 0.15 -0.62 5.51 86.38 0.48 -0.14 16 19 N -0.70 1.12 5.56 -590.88 -3.28 -2.16 16 20 C 0.64 3.65 8.06 129.79 1.05 4.69 16 21 O -0.60 -6.76 11.88 19.82 0.24 -6.52 16 22 O -0.37 -1.78 9.94 -55.46 -0.55 -2.33 16 23 C 0.13 0.32 1.13 -10.79 -0.01 0.31 16 24 C -0.18 -0.56 8.37 71.98 0.60 0.05 16 25 C -0.14 0.34 8.85 71.98 0.64 0.98 16 26 C -0.18 -0.48 8.37 71.98 0.60 0.13 16 27 C -0.12 1.12 7.39 31.12 0.23 1.35 16 28 N -0.52 2.51 5.99 -171.93 -1.03 1.48 16 29 H 0.09 -0.66 8.14 -2.39 -0.02 -0.68 16 30 H 0.09 -0.61 7.27 -2.38 -0.02 -0.62 16 31 H 0.09 -1.00 8.14 -2.39 -0.02 -1.02 16 32 H 0.11 0.02 6.66 -2.39 -0.02 0.00 16 33 H 0.39 -1.24 7.73 -74.06 -0.57 -1.82 16 34 H -0.29 -2.16 7.11 99.48 0.71 -1.45 16 35 H -0.29 -2.24 7.11 99.48 0.71 -1.53 16 36 H 0.08 -0.13 8.14 -2.39 -0.02 -0.15 16 37 H 0.07 0.28 6.50 -2.39 -0.02 0.27 16 38 H 0.08 -0.37 4.43 -2.39 -0.01 -0.38 16 39 H 0.41 -4.56 7.83 -92.71 -0.73 -5.29 16 40 H 0.09 -0.43 7.90 -2.38 -0.02 -0.45 16 41 H 0.07 -0.29 8.14 -2.39 -0.02 -0.31 16 42 H 0.07 -0.19 8.14 -2.39 -0.02 -0.21 16 43 H 0.07 -0.11 7.84 -2.39 -0.02 -0.13 16 44 H 0.42 -2.51 8.58 -92.70 -0.80 -3.31 16 45 H 0.06 0.16 8.14 -2.38 -0.02 0.14 16 46 H 0.09 -0.03 8.14 -2.39 -0.02 -0.05 16 47 H 0.06 0.53 5.88 -2.39 -0.01 0.52 16 48 H 0.07 -0.20 8.14 -2.39 -0.02 -0.22 16 49 H 0.10 -0.55 8.14 -2.38 -0.02 -0.57 16 50 H 0.07 -0.17 8.14 -2.39 -0.02 -0.19 16 51 H 0.06 0.51 5.88 -2.39 -0.01 0.49 16 52 H 0.09 -0.06 8.14 -2.38 -0.02 -0.08 16 53 H 0.06 0.11 8.14 -2.38 -0.02 0.09 16 54 H 0.09 -1.00 8.14 -2.39 -0.02 -1.02 16 55 H 0.11 -0.97 8.10 -2.39 -0.02 -0.99 16 56 H 0.43 -5.15 8.19 -92.71 -0.76 -5.91 16 Total: 0.00 -25.20 440.65 -2.26 -27.46 By element: Atomic # 1 Polarization: -24.45 SS G_CDS: -1.87 Total: -26.32 kcal Atomic # 6 Polarization: 6.56 SS G_CDS: 6.54 Total: 13.11 kcal Atomic # 7 Polarization: 7.07 SS G_CDS: -6.65 Total: 0.42 kcal Atomic # 8 Polarization: -15.65 SS G_CDS: -2.30 Total: -17.95 kcal Atomic # 14 Polarization: 1.27 SS G_CDS: 2.02 Total: 3.29 kcal Total: -25.20 -2.26 -27.46 kcal The number of atoms in the molecule is 56 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_13437852_12297754.mol2 56 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 -63.976 kcal (2) G-P(sol) polarization free energy of solvation -25.200 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.177 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.262 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -27.462 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.439 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.36 seconds