Wall clock time and date at job start Sat Apr 11 2020 06:10:10 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 1.53009 * 1 3 3 H 1.09000 * 109.46624 * 2 1 4 4 C 1.50702 * 109.46918 * 240.00522 * 2 1 3 5 5 H 1.08002 * 119.99446 * 239.99482 * 4 2 1 6 6 C 1.37871 * 120.00072 * 60.00109 * 4 2 1 7 7 N 1.31516 * 119.99826 * 179.72119 * 6 4 2 8 8 Si 1.86800 * 120.00406 * 359.97438 * 6 4 2 9 9 H 1.48501 * 109.46758 * 269.72576 * 8 6 4 10 10 H 1.48499 * 109.47026 * 29.72423 * 8 6 4 11 11 H 1.48496 * 109.47474 * 149.72459 * 8 6 4 12 12 N 1.46495 * 109.47194 * 120.00052 * 2 1 3 13 13 C 1.34776 * 120.00388 * 275.00617 * 12 2 1 14 14 O 1.21281 * 119.99842 * 359.97438 * 13 12 2 15 15 C 1.50698 * 120.00287 * 180.02562 * 13 12 2 16 16 C 1.53003 * 109.47272 * 179.97438 * 15 13 12 17 17 N 1.46501 * 109.47102 * 180.02562 * 16 15 13 18 18 C 1.46501 * 119.99561 * 270.00289 * 17 16 15 19 19 C 1.52999 * 109.47614 * 90.00186 * 18 17 16 20 20 C 1.53002 * 117.49640 * 243.62099 * 19 18 17 21 21 C 1.53000 * 117.49994 * 174.99790 * 19 18 17 22 22 C 1.34773 * 120.00346 * 89.99993 * 17 16 15 23 23 O 1.21513 * 119.99645 * 359.97438 * 22 17 16 24 24 O 1.34635 * 120.00121 * 179.97438 * 22 17 16 25 25 C 1.45199 * 116.99732 * 180.02562 * 24 22 17 26 26 C 1.52998 * 109.47615 * 59.99986 * 25 24 22 27 27 C 1.53005 * 109.46871 * 179.97438 * 25 24 22 28 28 C 1.53006 * 109.47274 * 299.99657 * 25 24 22 29 29 H 1.09001 * 109.46592 * 179.97438 * 1 2 3 30 30 H 1.08990 * 109.47127 * 299.99571 * 1 2 3 31 31 H 1.08994 * 109.46846 * 59.99893 * 1 2 3 32 32 H 0.96999 * 120.00128 * 180.27192 * 7 6 4 33 33 H 0.97008 * 120.00075 * 94.99858 * 12 2 1 34 34 H 1.09000 * 109.47224 * 299.99957 * 15 13 12 35 35 H 1.09007 * 109.47091 * 59.99436 * 15 13 12 36 36 H 1.09000 * 109.46645 * 300.00030 * 16 15 13 37 37 H 1.08997 * 109.46657 * 59.99905 * 16 15 13 38 38 H 1.09002 * 109.46578 * 210.00215 * 18 17 16 39 39 H 1.09000 * 109.47342 * 329.99522 * 18 17 16 40 40 H 1.09006 * 115.54581 * 29.32269 * 19 18 17 41 41 H 1.08994 * 117.49717 * 359.97438 * 20 19 18 42 42 H 1.09005 * 117.49365 * 145.01679 * 20 19 18 43 43 H 1.08999 * 117.49355 * 214.97749 * 21 19 18 44 44 H 1.08993 * 117.50023 * 359.97438 * 21 19 18 45 45 H 1.09006 * 109.46992 * 59.99597 * 26 25 24 46 46 H 1.08990 * 109.47480 * 179.97438 * 26 25 24 47 47 H 1.09004 * 109.46721 * 300.00186 * 26 25 24 48 48 H 1.09007 * 109.47075 * 60.00111 * 27 25 24 49 49 H 1.09002 * 109.46868 * 179.97438 * 27 25 24 50 50 H 1.08992 * 109.47129 * 300.00023 * 27 25 24 51 51 H 1.08996 * 109.46518 * 60.00042 * 28 25 24 52 52 H 1.08997 * 109.46907 * 180.02562 * 28 25 24 53 53 H 1.09000 * 109.46785 * 300.00440 * 28 25 24 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 1.5301 0.0000 0.0000 3 1 1.8933 1.0277 0.0000 4 6 2.0324 -0.7103 -1.2306 5 1 2.6533 -1.5884 -1.1315 6 6 1.6993 -0.2392 -2.4827 7 7 2.1422 -0.8559 -3.5566 8 14 0.6248 1.2792 -2.6541 9 1 -0.8024 0.8723 -2.7065 10 1 0.8421 2.1735 -1.4886 11 1 0.9805 1.9990 -3.9033 12 7 2.0184 -0.6906 1.1961 13 6 2.1471 -0.0184 2.3571 14 8 1.8590 1.1585 2.4116 15 6 2.6500 -0.7286 3.5874 16 6 2.7018 0.2545 4.7586 17 7 3.1913 -0.4359 5.9545 18 6 2.2447 -1.0880 6.8627 19 6 2.0337 -2.5386 6.4241 20 6 0.6299 -2.9417 5.9684 21 6 1.1654 -3.4274 7.3168 22 6 4.5123 -0.4711 6.2190 23 8 5.2974 0.0694 5.4654 24 8 4.9620 -1.1052 7.3183 25 6 6.3970 -1.1023 7.5401 26 6 6.8908 0.3402 7.6667 27 6 6.7154 -1.8647 8.8280 28 6 7.0969 -1.7793 6.3599 29 1 -0.3632 -1.0277 -0.0005 30 1 -0.3633 0.5137 0.8899 31 1 -0.3633 0.5138 -0.8899 32 1 1.9111 -0.5221 -4.4375 33 1 2.2491 -1.6318 1.1526 34 1 1.9778 -1.5510 3.8324 35 1 3.6494 -1.1204 3.3978 36 1 3.3742 1.0766 4.5133 37 1 1.7026 0.6465 4.9483 38 1 2.6430 -1.0695 7.8771 39 1 1.2924 -0.5584 6.8366 40 1 2.8802 -3.0051 5.9201 41 1 -0.1434 -2.1737 5.9814 42 1 0.5526 -3.6736 5.1643 43 1 1.4405 -4.4788 7.3999 44 1 0.7448 -2.9789 8.2168 45 1 6.3921 0.8225 8.5076 46 1 7.9678 0.3423 7.8337 47 1 6.6638 0.8837 6.7495 48 1 6.3636 -2.8925 8.7382 49 1 7.7927 -1.8630 8.9943 50 1 6.2169 -1.3821 9.6685 51 1 6.8699 -1.2358 5.4427 52 1 8.1740 -1.7775 6.5267 53 1 6.7451 -2.8070 6.2698 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 ZINC000865052125.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 06:10:10 Heat of formation + Delta-G solvation = -95.685612 kcal Electronic energy + Delta-G solvation = -31096.951349 eV Core-core repulsion = 26969.839851 eV Total energy + Delta-G solvation = -4127.111498 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.74 seconds Orbital eigenvalues (eV) -41.01236 -39.21974 -38.33549 -37.18744 -35.38653 -34.93638 -34.12894 -32.40006 -31.38323 -29.61117 -27.67041 -27.57581 -27.22104 -25.23683 -24.73591 -22.62619 -21.95733 -21.15975 -20.76094 -19.53707 -19.45953 -18.08636 -17.36837 -16.82767 -16.34684 -16.04392 -15.70489 -15.51504 -15.22248 -14.87519 -14.84142 -14.33893 -14.25935 -14.10821 -13.54102 -13.16200 -13.13331 -12.95995 -12.80720 -12.69303 -12.54367 -12.30471 -12.18734 -12.11521 -12.07532 -11.82352 -11.76059 -11.70380 -11.59885 -11.48564 -11.26857 -10.99003 -10.80109 -10.69639 -10.53568 -10.22829 -10.17762 -10.06115 -9.69877 -9.26215 -9.21233 -8.86775 -8.74052 -8.13037 -6.19329 -4.21692 1.97551 2.72533 3.23628 3.27202 3.36697 3.41514 3.46834 3.62259 4.06948 4.33232 4.46580 4.49087 4.53409 4.62145 4.67576 4.72230 4.89874 5.04387 5.09627 5.15593 5.20724 5.22309 5.30162 5.32651 5.37350 5.41556 5.44120 5.45513 5.53201 5.64356 5.65144 5.66681 5.73817 5.86456 5.87556 5.93036 5.99994 6.09576 6.14268 6.31752 6.32169 6.37717 6.39442 6.57311 6.87087 7.20661 7.22023 7.31955 7.54439 8.16626 8.24191 8.55223 8.77751 8.95820 9.41694 10.92962 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013941 B = 0.002622 C = 0.002399 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2008.028221 B =10675.467095 C =11669.412718 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.236 3.764 3 H 0.048 0.952 4 C -0.534 4.534 5 H 0.080 0.920 6 C 0.077 3.923 7 N -0.893 5.893 8 Si 0.886 3.114 9 H -0.277 1.277 10 H -0.261 1.261 11 H -0.294 1.294 12 N -0.701 5.701 13 C 0.509 3.491 14 O -0.559 6.559 15 C -0.158 4.158 16 C 0.150 3.850 17 N -0.592 5.592 18 C 0.144 3.856 19 C -0.170 4.170 20 C -0.178 4.178 21 C -0.173 4.173 22 C 0.650 3.350 23 O -0.560 6.560 24 O -0.361 6.361 25 C 0.135 3.865 26 C -0.184 4.184 27 C -0.139 4.139 28 C -0.184 4.184 29 H 0.052 0.948 30 H 0.035 0.965 31 H 0.046 0.954 32 H 0.267 0.733 33 H 0.395 0.605 34 H 0.093 0.907 35 H 0.092 0.908 36 H 0.096 0.904 37 H 0.091 0.909 38 H 0.088 0.912 39 H 0.083 0.917 40 H 0.106 0.894 41 H 0.096 0.904 42 H 0.095 0.905 43 H 0.094 0.906 44 H 0.094 0.906 45 H 0.058 0.942 46 H 0.069 0.931 47 H 0.089 0.911 48 H 0.066 0.934 49 H 0.079 0.921 50 H 0.065 0.935 51 H 0.089 0.911 52 H 0.069 0.931 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.454 -5.053 27.792 28.458 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 -0.218 4.218 2 C 0.132 3.868 3 H 0.066 0.934 4 C -0.572 4.572 5 H 0.098 0.902 6 C -0.126 4.126 7 N -0.530 5.530 8 Si 0.716 3.284 9 H -0.203 1.203 10 H -0.186 1.186 11 H -0.222 1.222 12 N -0.349 5.349 13 C 0.294 3.706 14 O -0.439 6.439 15 C -0.200 4.200 16 C 0.029 3.971 17 N -0.331 5.331 18 C 0.021 3.979 19 C -0.190 4.190 20 C -0.215 4.215 21 C -0.211 4.211 22 C 0.405 3.595 23 O -0.449 6.449 24 O -0.276 6.276 25 C 0.099 3.901 26 C -0.241 4.241 27 C -0.196 4.196 28 C -0.241 4.241 29 H 0.071 0.929 30 H 0.054 0.946 31 H 0.065 0.935 32 H 0.077 0.923 33 H 0.228 0.772 34 H 0.111 0.889 35 H 0.111 0.889 36 H 0.114 0.886 37 H 0.109 0.891 38 H 0.106 0.894 39 H 0.102 0.898 40 H 0.124 0.876 41 H 0.115 0.885 42 H 0.114 0.886 43 H 0.112 0.888 44 H 0.113 0.887 45 H 0.077 0.923 46 H 0.088 0.912 47 H 0.108 0.892 48 H 0.085 0.915 49 H 0.097 0.903 50 H 0.084 0.916 51 H 0.108 0.892 52 H 0.088 0.912 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges 3.577 -4.048 27.411 27.938 hybrid contribution -0.450 0.023 -0.423 0.618 sum 3.128 -4.025 26.988 27.465 Atomic orbital electron populations 1.22439 0.99346 1.00766 0.99262 1.19096 0.90084 0.94714 0.82886 0.93377 1.21053 1.33153 1.14433 0.88585 0.90242 1.24840 0.95543 0.96702 0.95527 1.69872 1.44915 1.40203 0.98035 0.86865 0.80455 0.83633 0.77469 1.20347 1.18614 1.22177 1.46189 1.65026 1.13836 1.09820 1.20299 0.78255 0.87362 0.84709 1.90655 1.51766 1.16081 1.85425 1.22044 1.03627 1.00220 0.94099 1.21227 1.01051 0.93870 0.80986 1.46882 1.02879 1.56937 1.26403 1.21194 0.93302 0.90320 0.93071 1.22796 0.95276 0.96106 1.04786 1.23094 0.96461 1.03905 0.98053 1.22915 1.03823 0.99712 0.94656 1.18060 0.83402 0.77940 0.80095 1.90937 1.54261 1.49447 1.50231 1.86308 1.27443 1.71049 1.42824 1.22050 0.75361 0.96593 0.96142 1.22521 1.01646 0.95626 1.04313 1.21845 1.02093 1.00544 0.95150 1.22516 1.00670 1.01115 0.99815 0.92879 0.94551 0.93521 0.92308 0.77183 0.88908 0.88942 0.88574 0.89116 0.89381 0.89842 0.87585 0.88530 0.88623 0.88792 0.88718 0.92304 0.91232 0.89248 0.91515 0.90257 0.91597 0.89209 0.91228 0.92211 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.16 -3.58 8.96 37.16 0.33 -3.24 16 2 C 0.24 5.68 2.15 -69.08 -0.15 5.53 16 3 H 0.05 1.29 6.63 -51.93 -0.34 0.94 16 4 C -0.53 -14.62 9.31 -34.44 -0.32 -14.94 16 5 H 0.08 2.29 7.98 -52.49 -0.42 1.87 16 6 C 0.08 2.19 5.45 -17.82 -0.10 2.10 16 7 N -0.89 -26.73 13.96 55.43 0.77 -25.95 16 8 Si 0.89 22.00 24.37 -169.99 -4.14 17.86 16 9 H -0.28 -6.62 6.88 56.52 0.39 -6.23 16 10 H -0.26 -6.46 6.52 56.52 0.37 -6.09 16 11 H -0.29 -7.28 7.11 56.52 0.40 -6.88 16 12 N -0.70 -13.98 5.07 -54.93 -0.28 -14.26 16 13 C 0.51 9.47 7.79 -10.99 -0.09 9.39 16 14 O -0.56 -12.33 15.64 5.56 0.09 -12.24 16 15 C -0.16 -2.18 6.02 -27.88 -0.17 -2.35 16 16 C 0.15 1.96 4.74 -4.04 -0.02 1.94 16 17 N -0.59 -6.69 2.47 -179.48 -0.44 -7.13 16 18 C 0.14 1.22 5.74 -4.04 -0.02 1.20 16 19 C -0.17 -1.40 5.46 -90.62 -0.49 -1.89 16 20 C -0.18 -1.38 10.10 -26.73 -0.27 -1.65 16 21 C -0.17 -1.18 10.25 -26.73 -0.27 -1.46 16 22 C 0.65 8.40 7.70 54.05 0.42 8.82 16 23 O -0.56 -8.75 11.46 -19.28 -0.22 -8.97 16 24 O -0.36 -4.01 8.71 -40.31 -0.35 -4.37 16 25 C 0.14 1.28 1.13 -90.61 -0.10 1.18 16 26 C -0.18 -1.75 8.37 37.16 0.31 -1.44 16 27 C -0.14 -0.92 8.85 37.16 0.33 -0.59 16 28 C -0.18 -1.81 8.37 37.16 0.31 -1.50 16 29 H 0.05 1.11 8.14 -51.93 -0.42 0.69 16 30 H 0.04 0.76 8.14 -51.93 -0.42 0.34 16 31 H 0.05 1.08 3.28 -51.93 -0.17 0.91 16 32 H 0.27 7.50 8.31 -40.82 -0.34 7.16 16 33 H 0.39 6.97 8.54 -40.82 -0.35 6.62 16 34 H 0.09 1.08 7.51 -51.93 -0.39 0.69 16 35 H 0.09 1.30 8.14 -51.93 -0.42 0.88 16 36 H 0.10 1.49 7.38 -51.93 -0.38 1.11 16 37 H 0.09 1.10 7.85 -51.93 -0.41 0.69 16 38 H 0.09 0.70 7.37 -51.93 -0.38 0.32 16 39 H 0.08 0.61 7.63 -51.93 -0.40 0.21 16 40 H 0.11 1.02 8.14 -51.93 -0.42 0.59 16 41 H 0.10 0.72 8.03 -51.93 -0.42 0.30 16 42 H 0.10 0.76 8.14 -51.93 -0.42 0.34 16 43 H 0.09 0.61 8.14 -51.93 -0.42 0.18 16 44 H 0.09 0.55 8.14 -51.93 -0.42 0.13 16 45 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 46 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 47 H 0.09 1.10 5.88 -51.93 -0.31 0.79 16 48 H 0.07 0.43 8.14 -51.92 -0.42 0.00 16 49 H 0.08 0.40 8.14 -51.93 -0.42 -0.02 16 50 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 51 H 0.09 1.14 5.88 -51.93 -0.31 0.83 16 52 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 53 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 LS Contribution 418.86 15.07 6.31 6.31 Total: -1.00 -32.87 418.86 -7.94 -40.81 By element: Atomic # 1 Polarization: 16.21 SS G_CDS: -9.37 Total: 6.84 kcal Atomic # 6 Polarization: 1.40 SS G_CDS: -0.30 Total: 1.10 kcal Atomic # 7 Polarization: -47.39 SS G_CDS: 0.05 Total: -47.34 kcal Atomic # 8 Polarization: -25.09 SS G_CDS: -0.49 Total: -25.58 kcal Atomic # 14 Polarization: 22.00 SS G_CDS: -4.14 Total: 17.86 kcal Total LS contribution 6.31 Total: 6.31 kcal Total: -32.87 -7.94 -40.81 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. ZINC000865052125.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 -54.878 kcal (2) G-P(sol) polarization free energy of solvation -32.871 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -87.749 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.936 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.807 kcal (6) G-S(sol) free energy of system = (1) + (5) -95.686 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.74 seconds