Wall clock time and date at job start Sun Mar 7 2021 08:24:56 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 1.53001 * 1 3 3 C 1.52998 * 109.47162 * 2 1 4 4 C 1.53010 * 109.46874 * 240.00094 * 2 1 3 5 5 O 1.45198 * 109.47387 * 120.00417 * 2 1 3 6 6 C 1.34640 * 116.99778 * 59.99392 * 5 2 1 7 7 O 1.21509 * 119.99913 * 0.02562 * 6 5 2 8 8 N 1.34778 * 119.99864 * 180.02562 * 6 5 2 9 9 C 1.46499 * 119.99940 * 180.02562 * 8 6 5 10 10 H 1.09004 * 112.91032 * 23.75105 * 9 8 6 11 11 C 1.53784 * 113.61434 * 155.00095 * 9 8 6 12 12 C 1.53787 * 87.07923 * 89.11404 * 11 9 8 13 13 F 1.39899 * 113.61508 * 270.79735 * 12 11 9 14 14 C 1.53000 * 113.60890 * 139.98364 * 12 11 9 15 15 N 1.46505 * 109.47018 * 180.02562 * 14 12 11 16 16 C 1.34768 * 120.00220 * 180.02562 * 15 14 12 17 17 O 1.21281 * 120.00170 * 359.97438 * 16 15 14 18 18 C 1.50701 * 120.00131 * 180.02562 * 16 15 14 19 19 C 1.53543 * 109.82274 * 79.99692 * 18 16 15 20 20 C 1.53040 * 108.55962 * 180.49043 * 19 18 16 21 21 C 1.50205 * 110.31872 * 310.42831 * 20 19 18 22 22 C 1.50701 * 118.54794 * 200.03068 * 21 20 19 23 23 O 1.42899 * 109.47088 * 299.99974 * 22 21 20 24 24 Si 1.86299 * 109.47225 * 180.02562 * 22 21 20 25 25 C 1.31112 * 122.90625 * 20.05271 * 21 20 19 26 26 N 1.38921 * 121.84883 * 359.59603 * 25 21 20 27 27 C 1.53779 * 113.61357 * 252.49697 * 9 8 6 28 28 H 1.09001 * 109.46592 * 300.00178 * 1 2 3 29 29 H 1.08996 * 109.47145 * 59.99454 * 1 2 3 30 30 H 1.08990 * 109.47392 * 179.97438 * 1 2 3 31 31 H 1.09003 * 109.46814 * 180.02562 * 3 2 1 32 32 H 1.09000 * 109.47431 * 299.99794 * 3 2 1 33 33 H 1.08999 * 109.46869 * 60.00757 * 3 2 1 34 34 H 1.09000 * 109.47212 * 300.00404 * 4 2 1 35 35 H 1.09006 * 109.46714 * 60.00164 * 4 2 1 36 36 H 1.08991 * 109.46928 * 179.97438 * 4 2 1 37 37 H 0.97000 * 119.99785 * 0.02562 * 8 6 5 38 38 H 1.09004 * 113.61451 * 334.56890 * 11 9 8 39 39 H 1.08994 * 113.61477 * 203.66192 * 11 9 8 40 40 H 1.09005 * 109.47442 * 299.99369 * 14 12 11 41 41 H 1.08994 * 109.47401 * 60.00043 * 14 12 11 42 42 H 0.97007 * 119.99722 * 359.97438 * 15 14 12 43 43 H 1.09006 * 109.81325 * 319.13348 * 18 16 15 44 44 H 1.08994 * 109.62287 * 300.20825 * 19 18 16 45 45 H 1.08991 * 109.62429 * 60.58500 * 19 18 16 46 46 H 1.09000 * 109.33291 * 70.68796 * 20 19 18 47 47 H 1.09000 * 109.33214 * 190.16914 * 20 19 18 48 48 H 1.09006 * 109.46946 * 59.99604 * 22 21 20 49 49 H 0.96699 * 114.00336 * 299.99833 * 23 22 21 50 50 H 1.48499 * 110.00192 * 58.67965 * 24 22 21 51 51 H 1.48502 * 110.00036 * 180.02562 * 24 22 21 52 52 H 1.08004 * 119.07767 * 179.62137 * 25 21 20 53 53 H 0.97003 * 120.55883 * 193.33660 * 26 25 21 54 54 H 1.09006 * 113.61307 * 156.33848 * 27 9 8 55 55 H 1.08999 * 113.69146 * 25.44334 * 27 9 8 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 2.0400 -0.7213 -1.2494 5 8 2.0141 -0.6845 1.1855 6 6 1.6522 -1.9724 1.3382 7 8 0.9515 -2.5096 0.5034 8 7 2.0672 -2.6656 2.4170 9 6 1.6740 -4.0670 2.5829 10 1 1.4212 -4.5513 1.6396 11 6 2.6470 -4.8811 3.4520 12 6 1.8053 -4.4460 4.6633 13 9 2.2282 -3.2417 5.2360 14 6 1.5995 -5.5553 5.6967 15 7 0.7895 -5.0453 6.8058 16 6 0.4790 -5.8517 7.8400 17 8 0.8697 -6.9998 7.8523 18 6 -0.3547 -5.3272 8.9806 19 6 -1.8387 -5.3331 8.5865 20 6 -2.6561 -4.7847 9.7584 21 6 -2.2678 -5.4764 11.0340 22 6 -3.2266 -5.4357 12.1959 23 8 -3.4591 -4.0775 12.5744 24 14 -2.4967 -6.3648 13.6363 25 6 -1.1315 -6.1136 11.1814 26 7 -0.2012 -6.2007 10.1533 27 6 0.6272 -4.2864 3.6879 28 1 -0.3632 0.5139 0.8900 29 1 -0.3633 0.5139 -0.8899 30 1 -0.3633 -1.0276 -0.0005 31 1 3.1300 1.4424 -0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6768 1.9562 0.8901 34 1 1.6766 -1.7489 -1.2494 35 1 1.6766 -0.2073 -2.1393 36 1 3.1299 -0.7209 -1.2496 37 1 2.6263 -2.2365 3.0835 38 1 3.6620 -4.4839 3.4602 39 1 2.6125 -5.9533 3.2588 40 1 1.0869 -6.3964 5.2298 41 1 2.5676 -5.8841 6.0745 42 1 0.4773 -4.1269 6.7961 43 1 -0.0427 -4.3131 9.2305 44 1 -1.9872 -4.7025 7.7100 45 1 -2.1538 -6.3520 8.3620 46 1 -2.4718 -3.7150 9.8576 47 1 -3.7164 -4.9493 9.5671 48 1 -4.1698 -5.8983 11.9050 49 1 -2.6615 -3.6028 12.8459 50 1 -1.1951 -5.7629 14.0219 51 1 -3.4329 -6.3327 14.7885 52 1 -0.9127 -6.5843 12.1285 53 1 0.5370 -6.8276 10.2080 54 1 0.0406 -5.1961 3.5592 55 1 0.0108 -3.4099 3.8875 There are 73 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 73 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) 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_15774724_15413834.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 08:24:56 Heat of formation + Delta-G solvation = -147.744796 kcal Electronic energy + Delta-G solvation = -36649.548434 eV Core-core repulsion = 31603.817172 eV Total energy + Delta-G solvation = -5045.731262 eV No. of doubly occupied orbitals = 73 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 386.210 amu Computer time = 1.74 seconds Orbital eigenvalues (eV) -48.92023 -41.90552 -41.39826 -40.00980 -39.47361 -37.90727 -37.48983 -36.00090 -35.27648 -33.93999 -33.19665 -33.01974 -29.48788 -28.38632 -28.32493 -27.24161 -27.02775 -25.38277 -24.60421 -23.64616 -22.97338 -21.77750 -21.21325 -20.65447 -19.50875 -19.36991 -19.13828 -18.17968 -17.67782 -17.53164 -17.26870 -17.05221 -16.93569 -16.59320 -16.42642 -16.17720 -16.07097 -15.82902 -15.59043 -15.51708 -15.38119 -15.21381 -14.91129 -14.60937 -14.49445 -14.36885 -14.13768 -13.98564 -13.77039 -13.60165 -13.36385 -13.17188 -13.09735 -12.99676 -12.93193 -12.91295 -12.89314 -12.80393 -12.46877 -12.38773 -12.33691 -11.96634 -11.75347 -11.64424 -11.42496 -11.37432 -11.27415 -11.16211 -10.92344 -10.33013 -10.31106 -10.24511 -8.45946 -4.90130 1.08070 1.29506 1.39580 1.48752 1.57877 1.66967 1.81076 1.99046 2.61545 2.98811 3.02804 3.06554 3.21089 3.51650 3.55987 3.57195 3.65492 3.71812 3.77593 3.78244 3.88069 3.92161 4.02970 4.30979 4.31356 4.36664 4.45396 4.47642 4.58394 4.59548 4.60362 4.62026 4.62938 4.72769 4.74695 4.77378 4.77532 4.81465 4.85516 4.85580 4.87662 4.89945 5.02388 5.11367 5.19453 5.24301 5.25151 5.28252 5.31105 5.39810 5.56139 5.56672 6.19416 6.30121 6.37570 6.64365 6.82604 7.02009 7.27146 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.180 4.180 2 C 0.127 3.873 3 C -0.139 4.139 4 C -0.180 4.180 5 O -0.370 6.370 6 C 0.648 3.352 7 O -0.589 6.589 8 N -0.687 5.687 9 C 0.128 3.872 10 H 0.111 0.889 11 C -0.143 4.143 12 C 0.083 3.917 13 F -0.193 7.193 14 C 0.114 3.886 15 N -0.713 5.713 16 C 0.517 3.483 17 O -0.567 6.567 18 C 0.137 3.863 19 C -0.120 4.120 20 C -0.051 4.051 21 C -0.286 4.286 22 C -0.055 4.055 23 O -0.556 6.556 24 Si 0.743 3.257 25 C 0.143 3.857 26 N -0.736 5.736 27 C -0.160 4.160 28 H 0.061 0.939 29 H 0.087 0.913 30 H 0.065 0.935 31 H 0.069 0.931 32 H 0.099 0.901 33 H 0.069 0.931 34 H 0.065 0.935 35 H 0.087 0.913 36 H 0.061 0.939 37 H 0.414 0.586 38 H 0.096 0.904 39 H 0.145 0.855 40 H 0.101 0.899 41 H 0.077 0.923 42 H 0.415 0.585 43 H 0.105 0.895 44 H 0.097 0.903 45 H 0.065 0.935 46 H 0.067 0.933 47 H 0.071 0.929 48 H 0.111 0.889 49 H 0.382 0.618 50 H -0.286 1.286 51 H -0.311 1.311 52 H 0.144 0.856 53 H 0.409 0.591 54 H 0.133 0.867 55 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.438 0.902 -2.616 3.688 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 -0.237 4.237 2 C 0.091 3.909 3 C -0.196 4.196 4 C -0.237 4.237 5 O -0.285 6.285 6 C 0.401 3.599 7 O -0.480 6.480 8 N -0.346 5.346 9 C 0.024 3.976 10 H 0.129 0.871 11 C -0.182 4.182 12 C 0.065 3.935 13 F -0.174 7.174 14 C -0.010 4.010 15 N -0.366 5.366 16 C 0.303 3.697 17 O -0.445 6.445 18 C 0.028 3.972 19 C -0.159 4.159 20 C -0.088 4.088 21 C -0.296 4.296 22 C -0.166 4.166 23 O -0.363 6.363 24 Si 0.650 3.350 25 C 0.022 3.978 26 N -0.369 5.369 27 C -0.199 4.199 28 H 0.080 0.920 29 H 0.105 0.895 30 H 0.084 0.916 31 H 0.088 0.912 32 H 0.117 0.883 33 H 0.088 0.912 34 H 0.084 0.916 35 H 0.105 0.895 36 H 0.080 0.920 37 H 0.251 0.749 38 H 0.115 0.885 39 H 0.163 0.837 40 H 0.119 0.881 41 H 0.095 0.905 42 H 0.252 0.748 43 H 0.122 0.878 44 H 0.115 0.885 45 H 0.083 0.917 46 H 0.086 0.914 47 H 0.089 0.911 48 H 0.128 0.872 49 H 0.231 0.769 50 H -0.213 1.213 51 H -0.240 1.240 52 H 0.161 0.839 53 H 0.245 0.755 54 H 0.151 0.849 55 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges 2.049 -0.085 -2.509 3.241 hybrid contribution 0.585 1.682 0.534 1.859 sum 2.634 1.596 -1.976 3.659 Atomic orbital electron populations 1.22469 0.93919 1.03777 1.03510 1.22370 0.94540 0.92533 0.81467 1.21898 1.02449 0.90968 1.04243 1.22478 1.01631 1.02317 0.97291 1.86320 1.71540 1.23292 1.47357 1.18279 0.78548 0.80796 0.82248 1.90908 1.42014 1.70832 1.44221 1.44455 1.55028 1.12047 1.23098 1.21904 0.96207 0.79330 1.00201 0.87108 1.24014 0.99440 1.03742 0.90997 1.22218 0.98080 0.81100 0.92136 1.92857 1.91089 1.47249 1.86165 1.21854 0.96841 0.95884 0.86446 1.45714 1.53927 1.16150 1.20784 1.20750 0.79758 0.85469 0.83730 1.90733 1.55020 1.19333 1.79428 1.21071 0.96019 0.95270 0.84837 1.21829 0.91823 1.02819 0.99401 1.19902 0.99561 0.98889 0.90429 1.20924 0.96746 1.13286 0.98683 1.24853 1.03351 0.87068 1.01291 1.86536 1.38108 1.24345 1.87342 0.94608 0.75533 0.88984 0.75830 1.20497 0.88801 0.97065 0.91438 1.44366 1.30665 1.44173 1.17673 1.24206 0.96565 1.05476 0.93611 0.92001 0.89457 0.91615 0.91231 0.88265 0.91243 0.91606 0.89451 0.91977 0.74875 0.88541 0.83710 0.88118 0.90491 0.74826 0.87787 0.88504 0.91651 0.91429 0.91080 0.87152 0.76912 1.21291 1.23997 0.83918 0.75465 0.84935 0.90096 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 -0.18 -0.39 8.37 71.98 0.60 0.21 16 2 C 0.13 0.27 1.13 -10.79 -0.01 0.26 16 3 C -0.14 0.35 8.85 71.98 0.64 0.99 16 4 C -0.18 -0.40 8.37 71.99 0.60 0.20 16 5 O -0.37 -1.77 9.94 -55.49 -0.55 -2.32 16 6 C 0.65 3.39 8.06 129.79 1.05 4.44 16 7 O -0.59 -5.80 11.48 19.81 0.23 -5.57 16 8 N -0.69 0.61 5.19 -567.60 -2.95 -2.34 16 9 C 0.13 -0.62 4.32 45.52 0.20 -0.42 16 10 H 0.11 -0.28 7.47 -2.39 -0.02 -0.30 16 11 C -0.14 1.36 7.28 31.12 0.23 1.58 16 12 C 0.08 -0.65 1.66 -10.27 -0.02 -0.67 16 13 F -0.19 0.76 15.72 44.97 0.71 1.47 16 14 C 0.11 -0.74 5.37 86.38 0.46 -0.28 16 15 N -0.71 3.98 5.47 -463.06 -2.53 1.45 16 16 C 0.52 -0.33 7.10 87.66 0.62 0.30 16 17 O -0.57 -3.96 16.06 -3.03 -0.05 -4.01 16 18 C 0.14 -0.40 3.36 44.33 0.15 -0.26 16 19 C -0.12 0.44 5.47 30.79 0.17 0.60 16 20 C -0.05 0.08 5.75 29.71 0.17 0.25 16 21 C -0.29 0.16 5.44 -16.75 -0.09 0.07 16 22 C -0.06 -0.03 2.83 71.24 0.20 0.18 16 23 O -0.56 -2.00 12.78 -148.98 -1.90 -3.91 16 24 Si 0.74 -0.32 29.68 68.60 2.04 1.72 16 25 C 0.14 -0.20 9.63 83.42 0.80 0.61 16 26 N -0.74 0.63 5.47 -328.99 -1.80 -1.17 16 27 C -0.16 1.21 7.33 31.12 0.23 1.44 16 28 H 0.06 0.10 8.14 -2.39 -0.02 0.08 16 29 H 0.09 -0.10 8.14 -2.39 -0.02 -0.12 16 30 H 0.06 0.47 5.88 -2.39 -0.01 0.45 16 31 H 0.07 -0.18 8.14 -2.39 -0.02 -0.20 16 32 H 0.10 -0.58 8.14 -2.39 -0.02 -0.60 16 33 H 0.07 -0.18 8.14 -2.39 -0.02 -0.20 16 34 H 0.07 0.47 5.88 -2.39 -0.01 0.45 16 35 H 0.09 -0.10 8.14 -2.38 -0.02 -0.12 16 36 H 0.06 0.10 8.14 -2.39 -0.02 0.09 16 37 H 0.41 -1.20 7.89 -92.71 -0.73 -1.93 16 38 H 0.10 -0.87 8.14 -2.39 -0.02 -0.89 16 39 H 0.14 -1.97 8.10 -2.39 -0.02 -1.98 16 40 H 0.10 -0.76 7.94 -2.38 -0.02 -0.78 16 41 H 0.08 -0.35 8.14 -2.39 -0.02 -0.37 16 42 H 0.42 -3.69 8.19 -92.70 -0.76 -4.45 16 43 H 0.10 -0.59 8.14 -2.38 -0.02 -0.61 16 44 H 0.10 -0.73 8.14 -2.39 -0.02 -0.75 16 45 H 0.06 -0.02 8.14 -2.39 -0.02 -0.04 16 46 H 0.07 -0.13 8.14 -2.39 -0.02 -0.15 16 47 H 0.07 -0.04 8.14 -2.39 -0.02 -0.06 16 48 H 0.11 0.01 7.96 -2.38 -0.02 -0.01 16 49 H 0.38 -0.78 8.70 -74.06 -0.64 -1.42 16 50 H -0.29 -0.89 7.10 99.48 0.71 -0.18 16 51 H -0.31 -2.54 7.11 99.48 0.71 -1.84 16 52 H 0.14 -0.60 4.36 -2.91 -0.01 -0.61 16 53 H 0.41 -0.13 8.08 -92.71 -0.75 -0.88 16 54 H 0.13 -1.41 7.96 -2.38 -0.02 -1.43 16 55 H 0.08 -0.42 8.14 -2.39 -0.02 -0.43 16 Total: 0.00 -21.76 436.85 -2.71 -24.47 By element: Atomic # 1 Polarization: -17.39 SS G_CDS: -1.90 Total: -19.29 kcal Atomic # 6 Polarization: 3.50 SS G_CDS: 6.00 Total: 9.50 kcal Atomic # 7 Polarization: 5.22 SS G_CDS: -7.28 Total: -2.05 kcal Atomic # 8 Polarization: -13.53 SS G_CDS: -2.28 Total: -15.81 kcal Atomic # 9 Polarization: 0.76 SS G_CDS: 0.71 Total: 1.47 kcal Atomic # 14 Polarization: -0.32 SS G_CDS: 2.04 Total: 1.72 kcal Total: -21.76 -2.71 -24.47 kcal The number of atoms in the molecule is 55 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_15774724_15413834.mol2 55 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 -123.273 kcal (2) G-P(sol) polarization free energy of solvation -21.764 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -145.037 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.708 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -24.472 kcal (6) G-S(sol) free energy of system = (1) + (5) -147.745 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.74 seconds