Wall clock time and date at job start Sat Apr 11 2020 06:11:31 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 1.52999 * 1 3 3 C 1.52999 * 109.47349 * 2 1 4 4 C 1.53001 * 109.47156 * 179.97438 * 3 2 1 5 5 C 1.52997 * 109.46727 * 179.97438 * 4 3 2 6 6 H 1.08999 * 109.47374 * 304.99989 * 5 4 3 7 7 N 1.46503 * 109.47352 * 65.00476 * 5 4 3 8 8 C 1.34772 * 120.00029 * 59.99182 * 7 5 4 9 9 N 1.34780 * 120.00003 * 180.02562 * 8 7 5 10 10 O 1.21585 * 120.00032 * 0.02562 * 8 7 5 11 11 C 1.50705 * 109.46995 * 185.00135 * 5 4 3 12 12 O 1.21284 * 119.99719 * 260.00164 * 11 5 4 13 13 N 1.34774 * 120.00047 * 80.00185 * 11 5 4 14 14 C 1.46496 * 119.99913 * 180.02562 * 13 11 5 15 15 C 1.53003 * 109.46199 * 60.02580 * 14 13 11 16 16 C 1.53036 * 109.46209 * 300.06583 * 14 13 11 17 17 C 1.53193 * 109.31100 * 301.34655 * 16 14 13 18 18 N 1.46931 * 108.77611 * 305.36231 * 17 16 14 19 19 C 1.36938 * 120.63051 * 233.62856 * 18 17 16 20 20 H 1.07999 * 119.99834 * 27.66480 * 19 18 17 21 21 C 1.38808 * 119.99744 * 207.66013 * 19 18 17 22 22 N 1.31616 * 120.00374 * 17.37227 * 21 19 18 23 23 Si 1.86810 * 119.99808 * 197.37432 * 21 19 18 24 24 H 1.48502 * 109.46886 * 359.97438 * 23 21 19 25 25 H 1.48491 * 109.46787 * 119.99946 * 23 21 19 26 26 H 1.48497 * 109.46725 * 240.00236 * 23 21 19 27 27 C 1.46923 * 118.73525 * 53.61096 * 18 17 16 28 28 C 1.53038 * 109.46066 * 179.97438 * 14 13 11 29 29 H 1.08996 * 109.47306 * 300.00176 * 1 2 3 30 30 H 1.09006 * 109.47064 * 60.00509 * 1 2 3 31 31 H 1.09000 * 109.47084 * 180.02562 * 1 2 3 32 32 H 1.08993 * 109.47506 * 239.99346 * 2 1 3 33 33 H 1.09005 * 109.46567 * 119.99662 * 2 1 3 34 34 H 1.08996 * 109.47061 * 59.99673 * 3 2 1 35 35 H 1.09006 * 109.46622 * 299.99762 * 3 2 1 36 36 H 1.08995 * 109.46980 * 299.99748 * 4 3 2 37 37 H 1.08996 * 109.47136 * 60.00046 * 4 3 2 38 38 H 0.97003 * 119.99581 * 239.99733 * 7 5 4 39 39 H 0.97003 * 119.99607 * 0.02562 * 9 8 7 40 40 H 0.96997 * 119.99928 * 180.02562 * 9 8 7 41 41 H 0.96998 * 119.99966 * 359.97438 * 13 11 5 42 42 H 1.08996 * 109.47453 * 60.00153 * 15 14 13 43 43 H 1.09001 * 109.47046 * 180.02562 * 15 14 13 44 44 H 1.08998 * 109.46834 * 299.99737 * 15 14 13 45 45 H 1.08998 * 109.50033 * 61.29144 * 16 14 13 46 46 H 1.08994 * 109.50249 * 181.39827 * 16 14 13 47 47 H 1.09004 * 109.59114 * 185.57357 * 17 16 14 48 48 H 1.08998 * 109.70790 * 65.21808 * 17 16 14 49 49 H 0.97000 * 120.00286 * 179.97438 * 22 21 19 50 50 H 1.09006 * 109.58409 * 186.60436 * 27 18 17 51 51 H 1.08998 * 109.70732 * 66.24992 * 27 18 17 52 52 H 1.09006 * 109.49874 * 178.60444 * 28 14 13 53 53 H 1.08999 * 109.50036 * 298.67417 * 28 14 13 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 2.0400 1.4425 0.0000 4 6 3.5701 1.4424 0.0006 5 6 4.0800 2.8849 0.0000 6 1 3.6457 3.4235 -0.8423 7 7 3.6920 3.5406 1.2513 8 6 4.1160 3.0458 2.4310 9 7 3.7586 3.6488 3.5822 10 8 4.8209 2.0555 2.4568 11 6 5.5820 2.8867 -0.1232 12 8 6.2711 3.0402 0.8629 13 7 6.1594 2.7176 -1.3292 14 6 7.6194 2.7187 -1.4489 15 6 8.2015 1.5875 -0.5990 16 6 8.1702 4.0597 -0.9585 17 6 7.5591 5.1926 -1.7891 18 7 7.8068 4.9226 -3.2119 19 6 8.4075 5.8626 -4.0062 20 1 9.0865 6.5818 -3.5725 21 6 8.1438 5.8909 -5.3687 22 7 7.0884 5.2674 -5.8479 23 14 9.2870 6.8139 -6.5223 24 1 10.3914 7.4254 -5.7402 25 1 9.8504 5.8700 -7.5206 26 1 8.5276 7.8805 -7.2229 27 6 7.3982 3.6247 -3.7662 28 6 8.0111 2.5088 -2.9134 29 1 -0.3634 0.5138 0.8899 30 1 -0.3633 0.5138 -0.8901 31 1 -0.3633 -1.0277 0.0005 32 1 1.8934 -0.5139 -0.8898 33 1 1.8932 -0.5138 0.8901 34 1 1.6767 1.9563 0.8899 35 1 1.6767 1.9563 -0.8901 36 1 3.9329 0.9288 0.8908 37 1 3.9337 0.9285 -0.8891 38 1 3.1298 4.3309 1.2306 39 1 3.1959 4.4387 3.5616 40 1 4.0641 3.2929 4.4313 41 1 5.6082 2.5944 -2.1178 42 1 7.8091 0.6322 -0.9476 43 1 9.2879 1.5885 -0.6876 44 1 7.9222 1.7361 0.4441 45 1 7.9108 4.1976 0.0912 46 1 9.2543 4.0706 -1.0704 47 1 8.0212 6.1399 -1.5110 48 1 6.4854 5.2430 -1.6083 49 1 6.9039 5.2875 -6.7999 50 1 7.7542 3.5374 -4.7928 51 1 6.3114 3.5432 -3.7483 52 1 9.0969 2.5343 -3.0068 53 1 7.6391 1.5428 -3.2546 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 ZINC001569578649.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 06:11:31 Heat of formation + Delta-G solvation = -58.368023 kcal Electronic energy + Delta-G solvation = -32324.812910 eV Core-core repulsion = 28231.612375 eV Total energy + Delta-G solvation = -4093.200535 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -40.59189 -39.28202 -37.26150 -36.15464 -34.37428 -34.10067 -33.46069 -31.96216 -30.91704 -30.21076 -29.84148 -27.34731 -26.71705 -24.03859 -22.99867 -22.24728 -21.97020 -21.14655 -20.66218 -19.72821 -18.72551 -18.36802 -17.46731 -16.82186 -16.45359 -15.80950 -15.02998 -14.90182 -14.84978 -14.59795 -14.19647 -14.06291 -13.99728 -13.81850 -13.42057 -13.26058 -13.23557 -13.00269 -12.92958 -12.67383 -12.30616 -11.91416 -11.59903 -11.56446 -11.38658 -11.25328 -11.20848 -11.14758 -10.96862 -10.88714 -10.72394 -10.70763 -10.31998 -10.22823 -9.98771 -9.84686 -9.67749 -9.56965 -9.51091 -9.34592 -8.57202 -8.49145 -8.36599 -6.64777 -5.79248 -3.19762 2.78878 3.17589 3.36610 3.40777 3.44985 3.47483 3.71854 4.47971 4.50414 4.64840 4.80591 4.86489 5.03554 5.10804 5.20376 5.30089 5.35755 5.44462 5.51822 5.59299 5.61515 5.65324 5.70774 5.72193 5.76882 5.91486 6.04200 6.10805 6.14172 6.14430 6.28681 6.29239 6.39215 6.39752 6.47263 6.54735 6.58999 6.70240 6.78196 6.82883 6.88537 6.95992 7.01746 7.21213 7.33462 7.60991 7.80236 8.01749 8.07666 8.45549 8.73126 8.86606 9.22304 9.86086 10.43158 11.29206 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.013816 B = 0.003109 C = 0.002871 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2026.180270 B = 9005.150886 C = 9748.662563 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.125 4.125 3 C -0.113 4.113 4 C -0.133 4.133 5 C 0.152 3.848 6 H 0.106 0.894 7 N -0.731 5.731 8 C 0.712 3.288 9 N -0.874 5.874 10 O -0.564 6.564 11 C 0.502 3.498 12 O -0.508 6.508 13 N -0.712 5.712 14 C 0.188 3.812 15 C -0.159 4.159 16 C -0.141 4.141 17 C 0.153 3.847 18 N -0.591 5.591 19 C -0.247 4.247 20 H 0.064 0.936 21 C 0.001 3.999 22 N -0.904 5.904 23 Si 0.900 3.100 24 H -0.278 1.278 25 H -0.289 1.289 26 H -0.291 1.291 27 C 0.173 3.827 28 C -0.146 4.146 29 H 0.051 0.949 30 H 0.054 0.946 31 H 0.051 0.949 32 H 0.062 0.938 33 H 0.060 0.940 34 H 0.060 0.940 35 H 0.061 0.939 36 H 0.094 0.906 37 H 0.073 0.927 38 H 0.397 0.603 39 H 0.392 0.608 40 H 0.411 0.589 41 H 0.396 0.604 42 H 0.046 0.954 43 H 0.055 0.945 44 H 0.074 0.926 45 H 0.071 0.929 46 H 0.060 0.940 47 H 0.047 0.953 48 H 0.013 0.987 49 H 0.252 0.748 50 H 0.088 0.912 51 H 0.015 0.985 52 H 0.069 0.931 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.588 -7.363 13.303 19.739 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 -0.209 4.209 2 C -0.162 4.162 3 C -0.150 4.150 4 C -0.172 4.172 5 C 0.042 3.958 6 H 0.124 0.876 7 N -0.387 5.387 8 C 0.410 3.590 9 N -0.442 5.442 10 O -0.438 6.438 11 C 0.285 3.715 12 O -0.383 6.383 13 N -0.365 5.365 14 C 0.102 3.898 15 C -0.217 4.217 16 C -0.181 4.181 17 C 0.027 3.973 18 N -0.314 5.314 19 C -0.377 4.377 20 H 0.082 0.918 21 C -0.197 4.197 22 N -0.549 5.549 23 Si 0.730 3.270 24 H -0.203 1.203 25 H -0.216 1.216 26 H -0.218 1.218 27 C 0.047 3.953 28 C -0.185 4.185 29 H 0.070 0.930 30 H 0.073 0.927 31 H 0.070 0.930 32 H 0.081 0.919 33 H 0.079 0.921 34 H 0.079 0.921 35 H 0.080 0.920 36 H 0.112 0.888 37 H 0.092 0.908 38 H 0.230 0.770 39 H 0.218 0.782 40 H 0.243 0.757 41 H 0.231 0.769 42 H 0.065 0.935 43 H 0.074 0.926 44 H 0.093 0.907 45 H 0.089 0.911 46 H 0.079 0.921 47 H 0.066 0.934 48 H 0.031 0.969 49 H 0.062 0.938 50 H 0.106 0.894 51 H 0.033 0.967 52 H 0.088 0.912 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -11.500 -8.108 13.697 19.637 hybrid contribution -0.137 1.134 -0.839 1.417 sum -11.637 -6.974 12.858 18.692 Atomic orbital electron populations 1.21768 0.96049 1.01412 1.01649 1.21512 0.95591 0.97004 1.02116 1.21553 0.94776 0.96817 1.01875 1.21984 0.95773 0.94714 1.04694 1.20743 0.93024 0.95666 0.86367 0.87586 1.44665 1.56538 1.33268 1.04244 1.15810 0.79523 0.83179 0.80459 1.42983 1.58942 1.34514 1.07786 1.90953 1.40009 1.27060 1.85825 1.20624 0.90091 0.77203 0.83564 1.90667 1.63867 1.47115 1.36603 1.46108 1.07724 1.73794 1.08891 1.20188 0.78628 0.95128 0.95816 1.22210 1.00190 0.97362 1.01981 1.22360 1.00098 0.95268 1.00351 1.20800 0.96218 0.94991 0.85282 1.44052 1.70208 1.12840 1.04300 1.19242 1.18489 1.10467 0.89506 0.91778 1.24995 0.96747 0.99845 0.98144 1.70025 1.25162 1.47150 1.12576 0.86254 0.80577 0.79125 0.81029 1.20323 1.21599 1.21823 1.20729 0.95160 0.82229 0.97148 1.22526 1.02029 1.00114 0.93864 0.92988 0.92728 0.92961 0.91935 0.92132 0.92101 0.91997 0.88775 0.90819 0.76953 0.78153 0.75733 0.76891 0.93509 0.92639 0.90732 0.91057 0.92116 0.93405 0.96863 0.93802 0.89383 0.96656 0.91228 0.92827 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.15 -1.13 9.91 37.16 0.37 -0.76 16 2 C -0.12 -1.07 5.93 -26.73 -0.16 -1.23 16 3 C -0.11 -1.00 5.10 -26.73 -0.14 -1.14 16 4 C -0.13 -1.49 4.54 -26.73 -0.12 -1.61 16 5 C 0.15 1.82 3.01 -69.08 -0.21 1.61 16 6 H 0.11 1.06 8.14 -51.93 -0.42 0.64 16 7 N -0.73 -7.87 4.66 -59.81 -0.28 -8.15 16 8 C 0.71 9.28 7.59 -86.92 -0.66 8.62 16 9 N -0.87 -7.57 8.88 27.63 0.25 -7.32 16 10 O -0.56 -9.98 13.03 -18.20 -0.24 -10.21 16 11 C 0.50 8.01 6.24 -10.98 -0.07 7.94 16 12 O -0.51 -9.83 9.90 -17.94 -0.18 -10.00 16 13 N -0.71 -11.30 4.10 -47.57 -0.20 -11.50 16 14 C 0.19 3.30 0.66 -131.78 -0.09 3.21 16 15 C -0.16 -2.66 8.40 37.16 0.31 -2.35 16 16 C -0.14 -2.74 4.67 -26.61 -0.12 -2.87 16 17 C 0.15 3.34 6.25 -3.71 -0.02 3.32 16 18 N -0.59 -14.54 3.00 -172.28 -0.52 -15.05 16 19 C -0.25 -6.74 9.59 -15.06 -0.14 -6.88 16 20 H 0.06 1.75 7.89 -52.49 -0.41 1.33 16 21 C 0.00 0.02 4.91 -17.43 -0.09 -0.06 16 22 N -0.90 -25.46 11.19 55.49 0.62 -24.84 16 23 Si 0.90 21.53 29.59 -169.99 -5.03 16.50 16 24 H -0.28 -6.56 7.11 56.52 0.40 -6.16 16 25 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 26 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 27 C 0.17 3.91 5.04 -3.69 -0.02 3.89 16 28 C -0.15 -2.69 4.96 -26.59 -0.13 -2.82 16 29 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 30 H 0.05 0.39 8.14 -51.93 -0.42 -0.04 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 33 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 34 H 0.06 0.55 7.75 -51.93 -0.40 0.14 16 35 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 36 H 0.09 1.34 6.04 -51.93 -0.31 1.03 16 37 H 0.07 0.79 8.14 -51.93 -0.42 0.37 16 38 H 0.40 3.01 8.84 -40.82 -0.36 2.65 16 39 H 0.39 2.09 8.84 -40.82 -0.36 1.73 16 40 H 0.41 3.28 8.93 -40.82 -0.36 2.92 16 41 H 0.40 5.83 7.27 -40.82 -0.30 5.53 16 42 H 0.05 0.73 8.14 -51.93 -0.42 0.30 16 43 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 44 H 0.07 1.40 6.17 -51.93 -0.32 1.08 16 45 H 0.07 1.44 6.20 -51.93 -0.32 1.12 16 46 H 0.06 1.20 8.14 -51.93 -0.42 0.78 16 47 H 0.05 1.06 7.93 -51.93 -0.41 0.64 16 48 H 0.01 0.30 7.74 -51.93 -0.40 -0.11 16 49 H 0.25 6.88 8.31 -40.82 -0.34 6.54 16 50 H 0.09 2.26 6.03 -51.93 -0.31 1.95 16 51 H 0.02 0.35 6.94 -51.93 -0.36 -0.01 16 52 H 0.07 1.34 8.14 -51.93 -0.42 0.91 16 53 H 0.05 0.88 8.14 -51.93 -0.42 0.46 16 LS Contribution 403.20 15.07 6.08 6.08 Total: -1.00 -34.26 403.20 -10.05 -44.32 By element: Atomic # 1 Polarization: 20.60 SS G_CDS: -9.27 Total: 11.33 kcal Atomic # 6 Polarization: 10.15 SS G_CDS: -1.29 Total: 8.86 kcal Atomic # 7 Polarization: -66.74 SS G_CDS: -0.12 Total: -66.86 kcal Atomic # 8 Polarization: -19.80 SS G_CDS: -0.41 Total: -20.22 kcal Atomic # 14 Polarization: 21.53 SS G_CDS: -5.03 Total: 16.50 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -34.26 -10.05 -44.32 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. ZINC001569578649.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 -14.052 kcal (2) G-P(sol) polarization free energy of solvation -34.263 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -48.315 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.053 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.317 kcal (6) G-S(sol) free energy of system = (1) + (5) -58.368 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds