Wall clock time and date at job start Sat Apr 11 2020 06:11:28 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 C 1.53004 * 109.46876 * 2 1 4 4 N 1.46504 * 109.46995 * 120.00049 * 2 1 3 5 5 C 1.34771 * 119.99420 * 155.00094 * 4 2 1 6 6 O 1.21282 * 120.00440 * 359.97438 * 5 4 2 7 7 C 1.50704 * 119.99570 * 180.02562 * 5 4 2 8 8 N 1.46899 * 109.47089 * 179.97438 * 7 5 4 9 9 C 1.46900 * 111.00141 * 293.95307 * 8 7 5 10 10 C 1.46904 * 111.00061 * 169.99516 * 8 7 5 11 11 C 1.50700 * 109.47192 * 189.99979 * 10 8 7 12 12 O 1.21283 * 119.99803 * 0.02562 * 11 10 8 13 13 N 1.34777 * 119.99675 * 180.28082 * 11 10 8 14 14 C 1.46496 * 120.00345 * 359.72090 * 13 11 10 15 15 C 1.46497 * 119.99525 * 179.72583 * 13 11 10 16 16 H 1.08996 * 110.64621 * 358.31372 * 15 13 11 17 17 C 1.55155 * 110.72079 * 234.97048 * 15 13 11 18 18 C 1.54909 * 101.58554 * 277.14221 * 17 15 13 19 19 N 1.47424 * 104.82843 * 322.98896 * 18 17 15 20 20 C 1.36944 * 125.64711 * 204.08969 * 19 18 17 21 21 H 1.07994 * 119.99768 * 180.02562 * 20 19 18 22 22 C 1.38810 * 119.99660 * 0.04359 * 20 19 18 23 23 N 1.31618 * 120.00167 * 359.97438 * 22 20 19 24 24 Si 1.86800 * 119.99675 * 179.97438 * 22 20 19 25 25 H 1.48508 * 109.47081 * 60.00109 * 24 22 20 26 26 H 1.48500 * 109.46948 * 179.97438 * 24 22 20 27 27 H 1.48499 * 109.47535 * 300.00096 * 24 22 20 28 28 C 1.47022 * 108.70685 * 24.12881 * 19 18 17 29 29 H 1.09003 * 109.46969 * 299.99762 * 1 2 3 30 30 H 1.08998 * 109.47187 * 59.99779 * 1 2 3 31 31 H 1.08994 * 109.47037 * 180.02562 * 1 2 3 32 32 H 1.08995 * 109.46892 * 239.99916 * 2 1 3 33 33 H 1.09002 * 109.46810 * 180.02562 * 3 2 1 34 34 H 1.08997 * 109.46884 * 299.99984 * 3 2 1 35 35 H 1.09003 * 109.47127 * 60.00334 * 3 2 1 36 36 H 0.96996 * 119.99975 * 334.99647 * 4 2 1 37 37 H 1.09003 * 109.47248 * 59.99569 * 7 5 4 38 38 H 1.09004 * 109.46778 * 299.99401 * 7 5 4 39 39 H 1.08998 * 109.46551 * 296.04598 * 9 8 7 40 40 H 1.09003 * 109.47182 * 56.04541 * 9 8 7 41 41 H 1.08997 * 109.47165 * 176.04349 * 9 8 7 42 42 H 1.09009 * 109.46542 * 70.00009 * 10 8 7 43 43 H 1.08998 * 109.47050 * 310.00544 * 10 8 7 44 44 H 1.08997 * 109.47115 * 90.00316 * 14 13 11 45 45 H 1.08995 * 109.47364 * 210.00706 * 14 13 11 46 46 H 1.09002 * 109.47090 * 330.00257 * 14 13 11 47 47 H 1.08997 * 111.00199 * 35.21823 * 17 15 13 48 48 H 1.09004 * 111.00790 * 159.06303 * 17 15 13 49 49 H 1.08995 * 110.36859 * 204.15195 * 18 17 15 50 50 H 1.09000 * 110.45737 * 81.86989 * 18 17 15 51 51 H 0.97002 * 119.99903 * 179.97438 * 23 22 20 52 52 H 1.09002 * 109.88246 * 239.52432 * 28 19 18 53 53 H 1.08998 * 109.88178 * 118.35717 * 28 19 18 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 6 2.0400 1.4426 0.0000 4 7 2.0184 -0.6906 1.1962 5 6 3.2404 -1.2591 1.1943 6 8 3.9355 -1.1994 0.2023 7 6 3.7425 -1.9701 2.4246 8 7 5.0889 -2.4990 2.1692 9 6 5.0554 -3.5525 1.1460 10 6 5.7061 -2.9887 3.4091 11 6 7.1609 -3.2930 3.1600 12 8 7.6368 -3.1187 2.0581 13 7 7.9317 -3.7638 4.1603 14 6 7.3570 -3.9739 5.4913 15 6 9.3445 -4.0653 3.9165 16 1 9.6020 -3.8824 2.8733 17 6 9.6709 -5.5279 4.3184 18 6 9.8952 -5.3885 5.8448 19 7 10.5731 -4.0898 6.0095 20 6 11.3717 -3.7343 7.0636 21 1 11.8242 -2.7542 7.0917 22 6 11.5997 -4.6340 8.0958 23 7 11.0479 -5.8285 8.0616 24 14 12.6896 -4.1494 9.5334 25 1 12.1130 -2.9618 10.2134 26 1 12.7719 -5.2783 10.4947 27 1 14.0499 -3.8227 9.0352 28 6 10.2490 -3.2390 4.8551 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3633 -1.0276 0.0005 32 1 1.8934 -0.5138 -0.8899 33 1 3.1301 1.4425 -0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.6767 1.9564 0.8900 36 1 1.4623 -0.7387 1.9895 37 1 3.0698 -2.7922 2.6691 38 1 3.7790 -1.2699 3.2593 39 1 4.4754 -4.3986 1.5147 40 1 4.5937 -3.1632 0.2386 41 1 6.0722 -3.8775 0.9256 42 1 5.1960 -3.8951 3.7355 43 1 5.6218 -2.2257 4.1829 44 1 6.9642 -4.9882 5.5615 45 1 8.1289 -3.8301 6.2473 46 1 6.5501 -3.2597 5.6556 47 1 8.8303 -6.1884 4.1057 48 1 10.5757 -5.8772 3.8208 49 1 10.5291 -6.1963 6.2104 50 1 8.9409 -5.3879 6.3716 51 1 11.2076 -6.4573 8.7827 52 1 11.1639 -2.9566 4.3342 53 1 9.7196 -2.3467 5.1892 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 ZINC001269257831.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 06:11:28 Heat of formation + Delta-G solvation = -16.400379 kcal Electronic energy + Delta-G solvation = -30548.304837 eV Core-core repulsion = 26456.924156 eV Total energy + Delta-G solvation = -4091.380681 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.78 seconds Orbital eigenvalues (eV) -40.35044 -39.78141 -37.78472 -36.68289 -35.70604 -34.36414 -32.18395 -32.03290 -29.55841 -28.71529 -28.02534 -27.67783 -27.63033 -26.00554 -24.40468 -23.52008 -21.58484 -20.69971 -20.37888 -20.12595 -18.55325 -17.48043 -17.10897 -16.94840 -16.43040 -16.05656 -15.67997 -15.62878 -14.87223 -14.73853 -14.56830 -14.37505 -14.23180 -13.72947 -13.67659 -13.35157 -13.14219 -12.94904 -12.75596 -12.55816 -12.44182 -12.22513 -12.14426 -12.06529 -11.84067 -11.74670 -11.58392 -11.56272 -11.50496 -11.34111 -11.05223 -10.88538 -10.77412 -10.26385 -10.15515 -9.97688 -9.86308 -9.54962 -9.41988 -9.27267 -8.66471 -8.42030 -8.18667 -6.86178 -5.68039 -3.09822 2.44645 2.67247 2.89248 3.24220 3.38852 3.43556 3.44420 3.91774 4.35091 4.47254 4.57261 4.62437 4.67937 4.81917 4.92218 4.93329 5.12653 5.14301 5.14887 5.27063 5.36266 5.42911 5.44174 5.49077 5.49916 5.51702 5.55788 5.60168 5.68804 5.74805 5.85964 5.88563 5.94311 6.16056 6.22500 6.30370 6.33698 6.38703 6.58200 6.62526 6.69382 6.75831 6.82450 7.09992 7.23542 7.45271 7.60526 7.77372 7.83569 8.04411 8.33234 8.51229 9.19459 9.79941 10.44612 11.35359 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.026704 B = 0.001916 C = 0.001875 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1048.282744 B =14611.347385 C =14929.544349 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 0.137 3.863 3 C -0.164 4.164 4 N -0.733 5.733 5 C 0.514 3.486 6 O -0.512 6.512 7 C 0.035 3.965 8 N -0.506 5.506 9 C 0.015 3.985 10 C 0.039 3.961 11 C 0.513 3.487 12 O -0.528 6.528 13 N -0.596 5.596 14 C 0.070 3.930 15 C 0.127 3.873 16 H 0.099 0.901 17 C -0.154 4.154 18 C 0.145 3.855 19 N -0.603 5.603 20 C -0.222 4.222 21 H 0.076 0.924 22 C -0.010 4.010 23 N -0.923 5.923 24 Si 0.914 3.086 25 H -0.286 1.286 26 H -0.290 1.290 27 H -0.285 1.285 28 C 0.127 3.873 29 H 0.060 0.940 30 H 0.072 0.928 31 H 0.061 0.939 32 H 0.087 0.913 33 H 0.063 0.937 34 H 0.064 0.936 35 H 0.056 0.944 36 H 0.398 0.602 37 H 0.063 0.937 38 H 0.104 0.896 39 H 0.014 0.986 40 H 0.083 0.917 41 H 0.091 0.909 42 H 0.064 0.936 43 H 0.103 0.897 44 H 0.053 0.947 45 H 0.103 0.897 46 H 0.057 0.943 47 H 0.060 0.940 48 H 0.070 0.930 49 H 0.105 0.895 50 H 0.021 0.979 51 H 0.252 0.748 52 H 0.032 0.968 53 H 0.027 0.973 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -23.482 7.226 -10.783 26.831 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 0.033 3.967 3 C -0.223 4.223 4 N -0.387 5.387 5 C 0.300 3.700 6 O -0.386 6.386 7 C -0.096 4.096 8 N -0.231 5.231 9 C -0.132 4.132 10 C -0.092 4.092 11 C 0.300 3.700 12 O -0.405 6.405 13 N -0.329 5.329 14 C -0.073 4.073 15 C 0.024 3.976 16 H 0.117 0.883 17 C -0.194 4.194 18 C 0.021 3.979 19 N -0.330 5.330 20 C -0.350 4.350 21 H 0.094 0.906 22 C -0.206 4.206 23 N -0.571 5.571 24 Si 0.745 3.255 25 H -0.213 1.213 26 H -0.216 1.216 27 H -0.212 1.212 28 C 0.000 4.000 29 H 0.079 0.921 30 H 0.091 0.909 31 H 0.080 0.920 32 H 0.105 0.895 33 H 0.082 0.918 34 H 0.083 0.917 35 H 0.075 0.925 36 H 0.232 0.768 37 H 0.081 0.919 38 H 0.122 0.878 39 H 0.032 0.968 40 H 0.102 0.898 41 H 0.109 0.891 42 H 0.081 0.919 43 H 0.121 0.879 44 H 0.071 0.929 45 H 0.121 0.879 46 H 0.076 0.924 47 H 0.078 0.922 48 H 0.089 0.911 49 H 0.123 0.877 50 H 0.039 0.961 51 H 0.063 0.937 52 H 0.050 0.950 53 H 0.045 0.955 Dipole moment (debyes) X Y Z Total from point charges -22.324 7.651 -12.087 26.514 hybrid contribution -0.347 -0.371 1.738 1.810 sum -22.671 7.280 -10.350 25.963 Atomic orbital electron populations 1.22076 0.94197 1.02559 1.02931 1.20908 0.93782 0.93117 0.88925 1.22191 1.02442 0.95694 1.01947 1.46119 1.18022 1.57759 1.16841 1.20537 0.80955 0.78729 0.89819 1.90718 1.55236 1.58007 1.34643 1.21995 0.91247 0.99751 0.96597 1.61291 1.17225 1.36553 1.07990 1.22717 1.04095 0.90914 0.95483 1.22039 0.93495 1.00745 0.92898 1.20296 0.87903 0.77313 0.84518 1.90656 1.74362 1.52165 1.23275 1.47805 1.10501 1.64106 1.10520 1.22084 1.00006 1.00174 0.85070 1.22115 0.79100 0.96336 1.00090 0.88254 1.23342 1.00404 0.94289 1.01341 1.22112 0.96821 0.90823 0.88179 1.44544 1.56071 1.11795 1.20544 1.19034 1.20837 0.98733 0.96410 0.90572 1.24768 1.00699 0.96297 0.98821 1.69788 1.47858 1.06258 1.33216 0.86159 0.80327 0.77094 0.81932 1.21276 1.21619 1.21188 1.21643 0.95506 0.93641 0.89196 0.92070 0.90948 0.92030 0.89496 0.91836 0.91737 0.92535 0.76827 0.91894 0.87768 0.96778 0.89818 0.89072 0.91857 0.87891 0.92850 0.87877 0.92423 0.92164 0.91089 0.87743 0.96107 0.93713 0.94971 0.95529 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.64 9.38 37.16 0.35 -0.29 16 2 C 0.14 0.92 3.18 -67.92 -0.22 0.70 16 3 C -0.16 -1.14 9.48 37.16 0.35 -0.79 16 4 N -0.73 -4.96 5.08 -53.80 -0.27 -5.24 16 5 C 0.51 5.31 7.49 -10.99 -0.08 5.23 16 6 O -0.51 -7.64 13.99 5.56 0.08 -7.56 16 7 C 0.04 0.31 5.45 -4.97 -0.03 0.29 16 8 N -0.51 -6.51 4.24 -245.81 -1.04 -7.56 16 9 C 0.02 0.21 8.85 60.06 0.53 0.74 16 10 C 0.04 0.47 4.00 -4.97 -0.02 0.45 16 11 C 0.51 8.32 7.40 -10.98 -0.08 8.24 16 12 O -0.53 -10.41 13.68 5.55 0.08 -10.34 16 13 N -0.60 -9.85 2.82 -171.84 -0.49 -10.34 16 14 C 0.07 1.03 8.33 59.84 0.50 1.53 16 15 C 0.13 2.38 3.58 -66.10 -0.24 2.14 16 16 H 0.10 1.91 6.99 -51.93 -0.36 1.54 16 17 C -0.15 -2.95 6.53 -24.58 -0.16 -3.11 16 18 C 0.15 3.33 5.00 -2.53 -0.01 3.32 16 19 N -0.60 -14.85 2.97 -170.07 -0.51 -15.35 16 20 C -0.22 -6.01 10.27 -15.06 -0.15 -6.16 16 21 H 0.08 2.02 7.83 -52.49 -0.41 1.61 16 22 C -0.01 -0.29 5.49 -17.43 -0.10 -0.38 16 23 N -0.92 -25.94 10.09 55.49 0.56 -25.38 16 24 Si 0.91 21.64 29.55 -169.99 -5.02 16.62 16 25 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 26 H -0.29 -6.93 7.11 56.52 0.40 -6.52 16 27 H -0.29 -6.72 7.11 56.52 0.40 -6.32 16 28 C 0.13 2.69 6.24 -3.06 -0.02 2.67 16 29 H 0.06 0.19 8.14 -51.93 -0.42 -0.23 16 30 H 0.07 0.25 8.14 -51.93 -0.42 -0.18 16 31 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 32 H 0.09 0.76 7.58 -51.93 -0.39 0.37 16 33 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 34 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 35 H 0.06 0.34 8.14 -51.93 -0.42 -0.09 16 36 H 0.40 1.50 8.60 -40.82 -0.35 1.14 16 37 H 0.06 0.41 8.12 -51.93 -0.42 -0.01 16 38 H 0.10 0.69 7.93 -51.93 -0.41 0.28 16 39 H 0.01 0.16 8.14 -51.93 -0.42 -0.26 16 40 H 0.08 1.20 5.82 -51.93 -0.30 0.89 16 41 H 0.09 1.46 5.88 -51.93 -0.31 1.16 16 42 H 0.06 0.64 8.08 -51.92 -0.42 0.22 16 43 H 0.10 1.03 7.20 -51.93 -0.37 0.66 16 44 H 0.05 0.73 7.99 -51.93 -0.41 0.32 16 45 H 0.10 1.91 5.19 -51.93 -0.27 1.64 16 46 H 0.06 0.66 6.45 -51.93 -0.33 0.33 16 47 H 0.06 1.05 8.14 -51.93 -0.42 0.63 16 48 H 0.07 1.35 8.14 -51.93 -0.42 0.92 16 49 H 0.10 2.76 5.87 -51.93 -0.31 2.46 16 50 H 0.02 0.49 5.54 -51.93 -0.29 0.20 16 51 H 0.25 6.93 8.31 -40.82 -0.34 6.59 16 52 H 0.03 0.69 8.14 -51.93 -0.42 0.27 16 53 H 0.03 0.57 8.04 -51.93 -0.42 0.16 16 LS Contribution 407.29 15.07 6.14 6.14 Total: -1.00 -33.99 407.29 -9.00 -42.99 By element: Atomic # 1 Polarization: 10.58 SS G_CDS: -9.15 Total: 1.44 kcal Atomic # 6 Polarization: 13.95 SS G_CDS: 0.63 Total: 14.58 kcal Atomic # 7 Polarization: -62.11 SS G_CDS: -1.75 Total: -63.86 kcal Atomic # 8 Polarization: -18.05 SS G_CDS: 0.15 Total: -17.90 kcal Atomic # 14 Polarization: 21.64 SS G_CDS: -5.02 Total: 16.62 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -33.99 -9.00 -42.99 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. ZINC001269257831.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 26.586 kcal (2) G-P(sol) polarization free energy of solvation -33.988 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -7.402 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.998 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.986 kcal (6) G-S(sol) free energy of system = (1) + (5) -16.400 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds