Wall clock time and date at job start Wed Apr 1 2020 02:02:26 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 1.52998 * 1 3 3 C 1.53003 * 109.47019 * 2 1 4 4 C 1.53001 * 109.46968 * 119.99500 * 2 1 3 5 5 H 1.09001 * 109.47396 * 298.70843 * 4 2 1 6 6 F 1.39906 * 109.46822 * 178.70466 * 4 2 1 7 7 C 1.50704 * 109.46724 * 58.71089 * 4 2 1 8 8 O 1.21277 * 120.00523 * 71.24206 * 7 4 2 9 9 N 1.34777 * 119.99462 * 251.23915 * 7 4 2 10 10 C 1.46500 * 119.99931 * 179.97438 * 9 7 4 11 11 H 1.09002 * 109.49772 * 325.07134 * 10 9 7 12 12 C 1.53201 * 109.49665 * 85.17049 * 10 9 7 13 13 N 1.46932 * 108.77650 * 174.65521 * 12 10 9 14 14 C 1.36942 * 120.63095 * 126.31295 * 13 12 10 15 15 H 1.07999 * 120.00339 * 333.55990 * 14 13 12 16 16 C 1.38812 * 119.99671 * 153.56691 * 14 13 12 17 17 N 1.31617 * 120.00238 * 342.47924 * 16 14 13 18 18 Si 1.86803 * 120.00138 * 162.47984 * 16 14 13 19 19 H 1.48501 * 109.47300 * 89.99484 * 18 16 14 20 20 H 1.48498 * 109.47412 * 209.99988 * 18 16 14 21 21 H 1.48505 * 109.46833 * 329.99870 * 18 16 14 22 22 C 1.46937 * 118.73313 * 306.33677 * 13 12 10 23 23 C 1.53089 * 108.80094 * 53.46889 * 22 13 12 24 24 C 1.53083 * 109.50457 * 65.74244 * 23 22 13 25 25 C 1.53115 * 109.16170 * 176.73370 * 24 23 22 26 26 O 1.42898 * 109.40611 * 302.51873 * 25 24 23 27 27 C 1.42903 * 114.12867 * 61.19099 * 26 25 24 28 28 C 1.53079 * 109.50262 * 185.45324 * 23 22 13 29 29 C 1.52950 * 109.49853 * 305.58924 * 23 22 13 30 30 H 1.09000 * 109.47410 * 300.00400 * 1 2 3 31 31 H 1.09005 * 109.46922 * 60.00116 * 1 2 3 32 32 H 1.08999 * 109.47228 * 179.97438 * 1 2 3 33 33 H 1.08990 * 109.47366 * 240.00165 * 2 1 3 34 34 H 1.09001 * 109.47376 * 184.95398 * 3 2 1 35 35 H 1.09005 * 109.47259 * 304.95745 * 3 2 1 36 36 H 1.08996 * 109.47365 * 64.95425 * 3 2 1 37 37 H 0.96998 * 120.00252 * 359.97438 * 9 7 4 38 38 H 1.08999 * 109.58798 * 294.44343 * 12 10 9 39 39 H 1.08994 * 109.58098 * 54.72974 * 12 10 9 40 40 H 0.97001 * 120.00468 * 180.02562 * 17 16 14 41 41 H 1.09000 * 109.57823 * 293.68249 * 22 13 12 42 42 H 1.08992 * 109.58835 * 173.26738 * 22 13 12 43 43 H 1.08997 * 109.52337 * 296.63507 * 24 23 22 44 44 H 1.08993 * 109.52360 * 56.82763 * 24 23 22 45 45 H 1.09001 * 109.47891 * 182.53878 * 25 24 23 46 46 H 1.08998 * 109.48294 * 62.50041 * 25 24 23 47 47 H 1.09005 * 109.48504 * 178.82850 * 27 26 25 48 48 H 1.08999 * 109.48484 * 58.77448 * 27 26 25 49 49 H 1.09001 * 109.52244 * 303.15500 * 28 23 22 50 50 H 1.09006 * 109.52243 * 63.34728 * 28 23 22 51 51 H 1.08999 * 109.45417 * 181.17839 * 29 23 22 52 52 H 1.09002 * 109.45157 * 301.13754 * 29 23 22 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 2.0399 -0.7211 1.2493 5 1 1.6957 -0.1941 2.1391 6 9 3.4387 -0.7470 1.2345 7 6 1.5116 -2.1324 1.2654 8 8 1.9390 -2.9491 0.4772 9 7 0.5641 -2.4871 2.1559 10 6 0.0501 -3.8588 2.1713 11 1 0.0171 -4.2464 1.1531 12 6 0.9681 -4.7394 3.0250 13 7 0.3712 -6.0774 3.1356 14 6 1.0913 -7.1927 2.7994 15 1 1.8936 -7.1209 2.0801 16 6 0.7899 -8.4154 3.3833 17 7 0.0722 -8.4592 4.4857 18 14 1.4029 -9.9988 2.6045 19 1 2.7356 -10.3415 3.1629 20 1 0.4466 -11.0967 2.8964 21 1 1.5140 -9.8168 1.1348 22 6 -1.0133 -6.1959 3.6132 23 6 -1.9092 -5.2968 2.7572 24 6 -1.9389 -5.8240 1.3203 25 6 -2.9002 -4.9683 0.4908 26 8 -4.1971 -4.9944 1.0903 27 6 -4.2377 -4.4666 2.4177 28 6 -3.3307 -5.3024 3.3251 29 6 -1.3593 -3.8696 2.7679 30 1 -0.3634 0.5139 0.8899 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0276 -0.0005 33 1 1.8933 -0.5138 -0.8899 34 1 3.1264 1.4439 -0.0887 35 1 1.6059 1.9814 -0.8423 36 1 1.7509 1.9301 0.9310 37 1 0.2226 -1.8341 2.7867 38 1 1.9469 -4.8140 2.5512 39 1 1.0749 -4.3015 4.0174 40 1 -0.1382 -9.3137 4.8939 41 1 -1.0685 -5.8808 4.6552 42 1 -1.3432 -7.2310 3.5244 43 1 -0.9386 -5.7681 0.8911 44 1 -2.2795 -6.8594 1.3192 45 1 -2.9598 -5.3667 -0.5220 46 1 -2.5360 -3.9415 0.4569 47 1 -5.2606 -4.5037 2.7926 48 1 -3.8906 -3.4334 2.4090 49 1 -3.7019 -6.3263 3.3677 50 1 -3.3242 -4.8742 4.3275 51 1 -2.0093 -3.2257 2.1754 52 1 -1.3219 -3.5026 3.7936 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001099588772.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 02:02:26 Heat of formation + Delta-G solvation = -124.870488 kcal Electronic energy + Delta-G solvation = -32963.810909 eV Core-core repulsion = 28684.662076 eV Total energy + Delta-G solvation = -4279.148833 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -47.92167 -40.32181 -39.28578 -37.00623 -35.79023 -34.51046 -33.56510 -31.43444 -30.73860 -29.67400 -27.61774 -27.29427 -27.05602 -25.47741 -23.31226 -23.03211 -22.38533 -21.11334 -20.36878 -20.10381 -18.37589 -17.43104 -16.84453 -16.58324 -16.11800 -15.90498 -15.71951 -15.25884 -14.78684 -14.67538 -14.48616 -14.43960 -14.09692 -13.85912 -13.68966 -13.51016 -13.20435 -13.17632 -12.98203 -12.55221 -12.52426 -12.49412 -12.32525 -11.92298 -11.47801 -11.45374 -11.41215 -11.35879 -11.06079 -10.94513 -10.87815 -10.81072 -10.78518 -10.46592 -10.24272 -10.05880 -9.93742 -9.82681 -9.67668 -9.44272 -8.98112 -8.93876 -8.43833 -6.72883 -5.82016 -3.23080 2.53575 3.02736 3.38054 3.45272 3.49117 4.12731 4.14232 4.34433 4.46560 4.51229 4.58525 4.85229 4.95232 5.14124 5.15567 5.20913 5.22876 5.31808 5.33248 5.38306 5.42517 5.47461 5.48377 5.52512 5.54368 5.66131 5.71893 5.73839 5.79587 5.87952 5.91927 5.93674 5.96627 6.10408 6.11831 6.16990 6.34300 6.46252 6.52110 6.61119 6.71195 6.78491 6.89333 6.91987 7.25769 7.46424 7.53239 7.60141 7.80053 8.21507 8.41000 9.18006 9.80170 10.34453 11.26495 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.010240 B = 0.004153 C = 0.003249 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2733.708107 B = 6740.655327 C = 8615.867518 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 -0.115 4.115 3 C -0.147 4.147 4 C 0.086 3.914 5 H 0.097 0.903 6 F -0.188 7.188 7 C 0.491 3.509 8 O -0.516 6.516 9 N -0.715 5.715 10 C 0.123 3.877 11 H 0.092 0.908 12 C 0.140 3.860 13 N -0.583 5.583 14 C -0.250 4.250 15 H 0.067 0.933 16 C 0.005 3.995 17 N -0.903 5.903 18 Si 0.900 3.100 19 H -0.287 1.287 20 H -0.289 1.289 21 H -0.278 1.278 22 C 0.181 3.819 23 C -0.077 4.077 24 C -0.134 4.134 25 C 0.059 3.941 26 O -0.388 6.388 27 C 0.062 3.938 28 C -0.140 4.140 29 C -0.110 4.110 30 H 0.061 0.939 31 H 0.067 0.933 32 H 0.061 0.939 33 H 0.091 0.909 34 H 0.062 0.938 35 H 0.064 0.936 36 H 0.058 0.942 37 H 0.395 0.605 38 H 0.058 0.942 39 H 0.018 0.982 40 H 0.254 0.746 41 H 0.019 0.981 42 H 0.095 0.905 43 H 0.084 0.916 44 H 0.069 0.931 45 H 0.085 0.915 46 H 0.043 0.957 47 H 0.085 0.915 48 H 0.045 0.955 49 H 0.073 0.927 50 H 0.068 0.932 51 H 0.055 0.945 52 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.567 18.534 -4.409 19.848 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 -0.208 4.208 2 C -0.134 4.134 3 C -0.204 4.204 4 C 0.046 3.954 5 H 0.115 0.885 6 F -0.169 7.169 7 C 0.274 3.726 8 O -0.391 6.391 9 N -0.367 5.367 10 C 0.018 3.982 11 H 0.110 0.890 12 C 0.013 3.987 13 N -0.305 5.305 14 C -0.380 4.380 15 H 0.085 0.915 16 C -0.193 4.193 17 N -0.548 5.548 18 Si 0.730 3.270 19 H -0.214 1.214 20 H -0.215 1.215 21 H -0.204 1.204 22 C 0.055 3.945 23 C -0.080 4.080 24 C -0.172 4.172 25 C -0.017 4.017 26 O -0.307 6.307 27 C -0.014 4.014 28 C -0.178 4.178 29 C -0.148 4.148 30 H 0.080 0.920 31 H 0.086 0.914 32 H 0.080 0.920 33 H 0.110 0.890 34 H 0.082 0.918 35 H 0.083 0.917 36 H 0.077 0.923 37 H 0.229 0.771 38 H 0.076 0.924 39 H 0.036 0.964 40 H 0.064 0.936 41 H 0.037 0.963 42 H 0.113 0.887 43 H 0.102 0.898 44 H 0.087 0.913 45 H 0.103 0.897 46 H 0.062 0.938 47 H 0.103 0.897 48 H 0.063 0.937 49 H 0.092 0.908 50 H 0.087 0.913 51 H 0.073 0.927 52 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges -5.399 17.672 -4.985 19.139 hybrid contribution 0.539 -0.428 0.313 0.756 sum -4.860 17.244 -4.672 18.515 Atomic orbital electron populations 1.21844 0.93477 1.02779 1.02728 1.21620 0.97246 0.97200 0.97337 1.21825 1.01879 0.94341 1.02357 1.21639 0.77305 0.94909 1.01529 0.88526 1.92876 1.28806 1.97305 1.97888 1.20809 0.80477 0.89823 0.81530 1.90774 1.57095 1.52107 1.39097 1.46187 1.40781 1.13718 1.35977 1.21876 0.94022 0.79988 1.02320 0.89045 1.21191 0.95224 0.86676 0.95651 1.43951 1.09447 1.00147 1.76961 1.19188 1.14784 0.86047 1.17933 0.91532 1.24956 1.00300 0.98479 0.95614 1.70018 1.42554 1.24527 1.17653 0.86330 0.78065 0.83343 0.79308 1.21398 1.21537 1.20372 1.20892 0.82175 0.99119 0.92269 1.21174 0.94838 0.95040 0.96923 1.22119 1.00214 0.99783 0.95068 1.22669 0.83468 0.98941 0.96628 1.87863 1.29850 1.84263 1.28743 1.22566 0.99841 0.96026 0.83017 1.22132 0.95363 1.01462 0.98878 1.21818 0.94748 0.97785 1.00413 0.92040 0.91444 0.91962 0.89022 0.91848 0.91740 0.92287 0.77113 0.92362 0.96440 0.93633 0.96318 0.88697 0.89795 0.91260 0.89676 0.93833 0.89704 0.93692 0.90841 0.91300 0.92676 0.92000 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 -1.18 8.93 37.16 0.33 -0.85 16 2 C -0.11 -1.06 2.77 -90.62 -0.25 -1.32 16 3 C -0.15 -1.06 9.03 37.16 0.34 -0.73 16 4 C 0.09 0.95 3.34 -27.88 -0.09 0.86 16 5 H 0.10 0.75 7.96 -51.93 -0.41 0.33 16 6 F -0.19 -2.62 16.66 2.25 0.04 -2.58 16 7 C 0.49 7.16 5.58 -10.98 -0.06 7.09 16 8 O -0.52 -10.07 16.72 5.56 0.09 -9.98 16 9 N -0.72 -9.31 5.08 -53.68 -0.27 -9.58 16 10 C 0.12 2.03 2.27 -67.80 -0.15 1.87 16 11 H 0.09 1.73 5.72 -51.93 -0.30 1.44 16 12 C 0.14 2.92 6.09 -3.70 -0.02 2.90 16 13 N -0.58 -13.99 2.52 -172.37 -0.43 -14.42 16 14 C -0.25 -6.79 9.60 -15.06 -0.14 -6.93 16 15 H 0.07 1.84 7.88 -52.49 -0.41 1.43 16 16 C 0.00 0.13 4.92 -17.43 -0.09 0.05 16 17 N -0.90 -25.52 11.11 55.49 0.62 -24.91 16 18 Si 0.90 21.78 29.59 -169.99 -5.03 16.75 16 19 H -0.29 -6.99 7.11 56.52 0.40 -6.59 16 20 H -0.29 -7.01 7.11 56.52 0.40 -6.61 16 21 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 22 C 0.18 4.01 4.00 -3.76 -0.02 4.00 16 23 C -0.08 -1.32 0.51 -154.40 -0.08 -1.40 16 24 C -0.13 -2.35 4.48 -26.63 -0.12 -2.47 16 25 C 0.06 0.88 6.57 37.22 0.24 1.12 16 26 O -0.39 -5.96 10.76 -35.23 -0.38 -6.34 16 27 C 0.06 0.81 6.57 37.22 0.24 1.06 16 28 C -0.14 -2.08 4.92 -26.63 -0.13 -2.21 16 29 C -0.11 -1.60 3.63 -26.73 -0.10 -1.70 16 30 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 31 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 32 H 0.06 0.60 7.18 -51.93 -0.37 0.23 16 33 H 0.09 1.01 8.14 -51.93 -0.42 0.59 16 34 H 0.06 0.50 7.97 -51.93 -0.41 0.09 16 35 H 0.06 0.40 8.14 -51.93 -0.42 -0.03 16 36 H 0.06 0.36 8.14 -51.93 -0.42 -0.07 16 37 H 0.40 3.74 8.47 -40.82 -0.35 3.40 16 38 H 0.06 1.34 7.93 -51.93 -0.41 0.92 16 39 H 0.02 0.37 8.14 -51.93 -0.42 -0.06 16 40 H 0.25 6.98 8.31 -40.82 -0.34 6.64 16 41 H 0.02 0.44 8.14 -51.93 -0.42 0.02 16 42 H 0.09 2.42 5.95 -51.93 -0.31 2.11 16 43 H 0.08 1.64 5.93 -51.93 -0.31 1.33 16 44 H 0.07 1.33 8.14 -51.93 -0.42 0.91 16 45 H 0.09 1.17 8.14 -51.93 -0.42 0.75 16 46 H 0.04 0.60 6.64 -51.93 -0.34 0.26 16 47 H 0.08 0.95 8.14 -51.93 -0.42 0.53 16 48 H 0.04 0.53 6.59 -51.93 -0.34 0.19 16 49 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 50 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 51 H 0.05 0.71 5.03 -51.93 -0.26 0.45 16 52 H 0.06 0.86 8.14 -51.93 -0.42 0.44 16 LS Contribution 394.37 15.07 5.94 5.94 Total: -1.00 -31.70 394.37 -8.39 -40.09 By element: Atomic # 1 Polarization: 12.55 SS G_CDS: -8.86 Total: 3.69 kcal Atomic # 6 Polarization: 1.44 SS G_CDS: -0.10 Total: 1.35 kcal Atomic # 7 Polarization: -48.83 SS G_CDS: -0.09 Total: -48.92 kcal Atomic # 8 Polarization: -16.03 SS G_CDS: -0.29 Total: -16.32 kcal Atomic # 9 Polarization: -2.62 SS G_CDS: 0.04 Total: -2.58 kcal Atomic # 14 Polarization: 21.78 SS G_CDS: -5.03 Total: 16.75 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -31.70 -8.39 -40.09 kcal The number of atoms in the molecule is 52 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. ZINC001099588772.mol2 52 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 -84.781 kcal (2) G-P(sol) polarization free energy of solvation -31.702 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.483 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.388 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.090 kcal (6) G-S(sol) free energy of system = (1) + (5) -124.870 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds