Wall clock time and date at job start Sat Mar 6 2021 20:00:11 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 1.50702 * 1 3 3 C 1.37790 * 119.84467 * 2 1 4 4 C 1.39709 * 119.90455 * 179.97438 * 3 2 1 5 5 C 1.47535 * 120.19119 * 179.97438 * 4 3 2 6 6 O 1.21593 * 120.00010 * 179.97438 * 5 4 3 7 7 N 1.34773 * 120.00040 * 0.26911 * 5 4 3 8 8 C 1.46500 * 120.00431 * 179.72702 * 7 5 4 9 9 H 1.09003 * 112.84925 * 23.80369 * 8 7 5 10 10 C 1.53778 * 113.62012 * 155.00182 * 8 7 5 11 11 C 1.53782 * 87.08099 * 89.11541 * 10 8 7 12 12 H 1.09001 * 113.61923 * 270.88418 * 11 10 8 13 13 C 1.52997 * 113.61221 * 140.06835 * 11 10 8 14 14 N 1.46502 * 109.47277 * 175.00399 * 13 11 10 15 15 C 1.34771 * 120.00547 * 180.02562 * 14 13 11 16 16 O 1.21518 * 119.99786 * 359.97438 * 15 14 13 17 17 O 1.34631 * 120.00754 * 179.97438 * 15 14 13 18 18 C 1.45199 * 117.00490 * 179.97438 * 17 15 14 19 19 C 1.52998 * 109.47010 * 59.99725 * 18 17 15 20 20 C 1.53004 * 109.46963 * 179.97438 * 18 17 15 21 21 C 1.53001 * 109.47009 * 299.99625 * 18 17 15 22 22 C 1.53781 * 87.08060 * 25.43709 * 11 10 8 23 23 C 1.40142 * 119.62004 * 0.25027 * 4 3 2 24 24 O 1.35646 * 120.15161 * 179.72948 * 23 4 3 25 25 C 1.38712 * 119.69406 * 359.51792 * 23 4 3 26 26 C 1.50701 * 119.95643 * 180.23008 * 25 23 4 27 27 O 1.42904 * 109.47258 * 75.25726 * 26 25 23 28 28 Si 1.86298 * 109.47200 * 195.25527 * 26 25 23 29 29 C 1.38052 * 120.08761 * 0.48735 * 25 23 4 30 30 H 1.09001 * 109.46995 * 90.00125 * 1 2 3 31 31 H 1.08999 * 109.46962 * 210.00048 * 1 2 3 32 32 H 1.08992 * 109.47459 * 330.00085 * 1 2 3 33 33 H 1.07998 * 120.04890 * 0.02562 * 3 2 1 34 34 H 0.97000 * 120.00112 * 359.73139 * 7 5 4 35 35 H 1.08992 * 113.61412 * 203.66626 * 10 8 7 36 36 H 1.09003 * 113.61124 * 334.57322 * 10 8 7 37 37 H 1.09000 * 109.47210 * 294.99992 * 13 11 10 38 38 H 1.08995 * 109.47451 * 54.99954 * 13 11 10 39 39 H 0.97004 * 119.99836 * 359.97438 * 14 13 11 40 40 H 1.09003 * 109.47020 * 60.00150 * 19 18 17 41 41 H 1.08998 * 109.47046 * 180.02562 * 19 18 17 42 42 H 1.09000 * 109.47068 * 300.00317 * 19 18 17 43 43 H 1.09001 * 109.47004 * 60.00144 * 20 18 17 44 44 H 1.08998 * 109.46863 * 179.97438 * 20 18 17 45 45 H 1.08994 * 109.47378 * 300.00321 * 20 18 17 46 46 H 1.09000 * 109.47103 * 60.00306 * 21 18 17 47 47 H 1.08999 * 109.46553 * 179.97438 * 21 18 17 48 48 H 1.08996 * 109.46958 * 299.99908 * 21 18 17 49 49 H 1.09005 * 113.61096 * 220.02179 * 22 11 10 50 50 H 1.08996 * 113.61725 * 89.11585 * 22 11 10 51 51 H 0.96706 * 113.99705 * 90.00303 * 24 23 4 52 52 H 1.09003 * 109.47311 * 315.25919 * 26 25 23 53 53 H 0.96697 * 113.99884 * 59.99794 * 27 26 25 54 54 H 1.48504 * 110.00151 * 179.97438 * 28 26 25 55 55 H 1.48494 * 110.00170 * 301.31796 * 28 26 25 56 56 H 1.07999 * 119.80621 * 179.76608 * 29 25 23 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 1.5070 0.0000 0.0000 3 6 2.1927 1.1952 0.0000 4 6 3.5898 1.1966 0.0005 5 6 4.3304 2.4726 0.0000 6 8 5.5463 2.4698 0.0009 7 7 3.6593 3.6413 0.0044 8 6 4.3946 4.9084 0.0099 9 1 5.4021 4.8148 -0.3954 10 6 3.5997 6.0847 -0.5811 11 6 3.0599 6.3304 0.8378 12 1 2.1478 5.7765 1.0600 13 6 2.9603 7.8117 1.2076 14 7 2.3284 7.9453 2.5225 15 6 2.1347 9.1677 3.0560 16 8 2.4846 10.1590 2.4465 17 8 1.5535 9.2906 4.2642 18 6 1.3772 10.6375 4.7770 19 6 0.4981 11.4387 3.8145 20 6 0.7050 10.5765 6.1501 21 6 2.7421 11.3167 4.9065 22 6 4.3368 5.6484 1.3567 23 6 4.2837 -0.0209 -0.0042 24 8 5.6402 -0.0321 -0.0093 25 6 3.5771 -1.2146 0.0007 26 6 4.3174 -2.5273 0.0008 27 8 4.8545 -2.7711 1.3024 28 14 3.1448 -3.9015 -0.4544 29 6 2.1967 -1.2016 0.0001 30 1 -0.3633 0.0000 -1.0277 31 1 -0.3633 -0.8900 0.5138 32 1 -0.3634 0.8899 0.5138 33 1 1.6510 2.1294 0.0004 34 1 2.6893 3.6436 0.0040 35 1 4.2285 6.8925 -0.9550 36 1 2.8328 5.7795 -1.2931 37 1 3.9594 8.2463 1.2388 38 1 2.3606 8.3329 0.4615 39 1 2.0487 7.1540 3.0089 40 1 -0.4742 10.9548 3.7223 41 1 0.3662 12.4499 4.1993 42 1 0.9766 11.4821 2.8361 43 1 1.3309 10.0056 6.8360 44 1 0.5730 11.5876 6.5353 45 1 -0.2674 10.0928 6.0575 46 1 3.2205 11.3602 3.9281 47 1 2.6096 12.3279 5.2911 48 1 3.3682 10.7459 5.5922 49 1 4.1650 4.9910 2.2091 50 1 5.1671 6.3371 1.5126 51 1 6.0367 -0.0370 0.8727 52 1 5.1292 -2.4867 -0.7255 53 1 4.1872 -2.8198 2.0005 54 1 3.8628 -5.2014 -0.4584 55 1 2.0166 -3.9469 0.5100 56 1 1.6511 -2.1337 0.0001 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 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) 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_13437852_13422088.mol2 56 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 20:00:11 Heat of formation + Delta-G solvation = -141.026404 kcal Electronic energy + Delta-G solvation = -36870.997626 eV Core-core repulsion = 31940.840728 eV Total energy + Delta-G solvation = -4930.156898 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 393.208 amu Computer time = 1.37 seconds Orbital eigenvalues (eV) -41.94605 -41.76021 -40.82095 -39.40199 -38.29885 -38.03240 -37.74941 -35.94351 -35.00521 -34.30220 -33.06168 -32.51982 -29.06506 -28.38433 -28.31498 -27.53164 -26.77957 -26.71969 -25.50801 -23.98051 -22.86853 -22.06422 -21.67239 -21.23314 -20.29967 -19.62357 -19.13742 -18.47082 -17.99665 -17.68042 -17.39924 -17.32588 -16.94960 -16.77658 -16.28222 -16.09624 -16.04318 -15.86384 -15.68696 -15.62704 -15.34196 -14.98712 -14.89793 -14.77685 -14.48019 -14.38928 -14.22465 -13.88555 -13.59793 -13.49057 -13.37040 -13.31241 -13.23329 -12.97555 -12.93369 -12.92541 -12.87734 -12.54246 -12.46837 -12.35785 -12.23241 -12.02278 -11.83858 -11.71781 -11.64662 -11.41224 -11.31388 -11.11613 -11.04726 -10.55941 -10.27703 -10.20525 -10.00241 -9.50011 -4.94594 -0.35051 0.06954 1.16986 1.24742 1.52691 1.69915 1.75010 1.91202 2.01870 2.53864 3.11112 3.18915 3.36501 3.42945 3.50358 3.55934 3.57624 3.72869 3.73873 3.77411 3.78122 3.83957 3.93055 4.12550 4.18044 4.24340 4.38012 4.47430 4.54138 4.55452 4.59534 4.60669 4.61934 4.71693 4.74840 4.77341 4.81044 4.81741 4.85122 4.85334 4.86203 4.91874 4.97707 4.98551 5.05050 5.09391 5.15553 5.20011 5.25158 5.25491 5.25694 5.35552 5.42775 5.56444 5.59844 5.68201 6.38596 6.45320 6.45919 6.68885 7.15745 7.33262 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.117 4.117 2 C -0.093 4.093 3 C -0.059 4.059 4 C -0.180 4.180 5 C 0.558 3.442 6 O -0.564 6.564 7 N -0.694 5.694 8 C 0.112 3.888 9 H 0.081 0.919 10 C -0.123 4.123 11 C -0.107 4.107 12 H 0.120 0.880 13 C 0.148 3.852 14 N -0.698 5.698 15 C 0.640 3.360 16 O -0.596 6.596 17 O -0.370 6.370 18 C 0.127 3.873 19 C -0.179 4.179 20 C -0.138 4.138 21 C -0.180 4.180 22 C -0.145 4.145 23 C 0.163 3.837 24 O -0.493 6.493 25 C -0.153 4.153 26 C -0.085 4.085 27 O -0.547 6.547 28 Si 0.777 3.223 29 C -0.080 4.080 30 H 0.088 0.912 31 H 0.076 0.924 32 H 0.084 0.916 33 H 0.162 0.838 34 H 0.414 0.586 35 H 0.105 0.895 36 H 0.094 0.906 37 H 0.064 0.936 38 H 0.071 0.929 39 H 0.417 0.583 40 H 0.063 0.937 41 H 0.086 0.914 42 H 0.063 0.937 43 H 0.068 0.932 44 H 0.098 0.902 45 H 0.070 0.930 46 H 0.063 0.937 47 H 0.086 0.914 48 H 0.060 0.940 49 H 0.070 0.930 50 H 0.090 0.910 51 H 0.401 0.599 52 H 0.108 0.892 53 H 0.386 0.614 54 H -0.304 1.304 55 H -0.260 1.260 56 H 0.154 0.846 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.321 -0.816 0.803 10.384 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 -0.174 4.174 2 C -0.093 4.093 3 C -0.077 4.077 4 C -0.183 4.183 5 C 0.346 3.654 6 O -0.444 6.444 7 N -0.347 5.347 8 C 0.006 3.994 9 H 0.099 0.901 10 C -0.161 4.161 11 C -0.125 4.125 12 H 0.138 0.862 13 C 0.026 3.974 14 N -0.358 5.358 15 C 0.394 3.606 16 O -0.488 6.488 17 O -0.285 6.285 18 C 0.091 3.909 19 C -0.237 4.237 20 C -0.195 4.195 21 C -0.238 4.238 22 C -0.183 4.183 23 C 0.116 3.884 24 O -0.305 6.305 25 C -0.154 4.154 26 C -0.192 4.192 27 O -0.355 6.355 28 Si 0.681 3.319 29 C -0.098 4.098 30 H 0.106 0.894 31 H 0.095 0.905 32 H 0.102 0.898 33 H 0.179 0.821 34 H 0.253 0.747 35 H 0.123 0.877 36 H 0.113 0.887 37 H 0.082 0.918 38 H 0.090 0.910 39 H 0.253 0.747 40 H 0.082 0.918 41 H 0.105 0.895 42 H 0.082 0.918 43 H 0.087 0.913 44 H 0.116 0.884 45 H 0.090 0.910 46 H 0.082 0.918 47 H 0.105 0.895 48 H 0.079 0.921 49 H 0.088 0.912 50 H 0.109 0.891 51 H 0.260 0.740 52 H 0.126 0.874 53 H 0.235 0.765 54 H -0.233 1.233 55 H -0.186 1.186 56 H 0.171 0.829 Dipole moment (debyes) X Y Z Total from point charges -9.180 -0.972 -0.117 9.232 hybrid contribution 0.533 0.020 1.820 1.897 sum -8.647 -0.952 1.703 8.864 Atomic orbital electron populations 1.20921 0.87995 1.04411 1.04044 1.20116 0.98091 0.91732 0.99369 1.21428 0.90837 0.99914 0.95553 1.20406 0.95107 0.92420 1.10414 1.18326 0.86883 0.84398 0.75791 1.90820 1.15131 1.87882 1.50530 1.45418 1.10627 1.04061 1.74562 1.21840 0.96751 0.82784 0.98007 0.90108 1.23274 1.00080 0.96820 0.95933 1.22817 0.99134 0.93462 0.97103 0.86220 1.21417 0.97620 0.96870 0.81503 1.44731 1.64193 1.05460 1.21441 1.18401 0.77146 0.84809 0.80283 1.90913 1.56655 1.37591 1.63592 1.86303 1.74236 1.35228 1.32696 1.22342 0.96356 0.77321 0.94892 1.22468 0.99478 1.01188 1.00531 1.21889 1.00973 1.04440 0.92163 1.22475 0.96142 1.01929 1.03221 1.23520 0.98409 0.99207 0.97190 1.18566 0.83507 0.90900 0.95401 1.84660 1.15506 1.96077 1.34267 1.20627 0.94628 0.94971 1.05202 1.25249 1.05971 1.00166 0.87858 1.86605 1.38090 1.93642 1.17159 0.93846 0.76063 0.73177 0.88851 1.21415 0.92164 0.99826 0.96369 0.89374 0.90521 0.89755 0.82077 0.74703 0.87676 0.88699 0.91813 0.91042 0.74677 0.91793 0.89542 0.91797 0.91285 0.88371 0.91050 0.91837 0.89498 0.92059 0.91165 0.89109 0.73996 0.87425 0.76483 1.23268 1.18567 0.82908 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 -0.12 1.32 10.00 71.24 0.71 2.03 16 2 C -0.09 0.57 5.87 -19.90 -0.12 0.45 16 3 C -0.06 0.31 9.18 22.52 0.21 0.52 16 4 C -0.18 -0.41 5.89 -20.01 -0.12 -0.52 16 5 C 0.56 2.96 7.76 86.70 0.67 3.63 16 6 O -0.56 -8.26 14.76 16.91 0.25 -8.01 16 7 N -0.69 2.05 5.21 -443.20 -2.31 -0.26 16 8 C 0.11 -0.28 4.32 45.52 0.20 -0.08 16 9 H 0.08 0.29 7.46 -2.39 -0.02 0.27 16 10 C -0.12 0.97 7.39 31.12 0.23 1.20 16 11 C -0.11 0.92 3.63 -10.27 -0.04 0.88 16 12 H 0.12 -1.49 8.14 -2.39 -0.02 -1.51 16 13 C 0.15 -0.55 5.51 86.38 0.48 -0.08 16 14 N -0.70 1.00 5.56 -590.87 -3.29 -2.28 16 15 C 0.64 3.74 8.06 129.79 1.05 4.78 16 16 O -0.60 -6.90 11.88 19.78 0.24 -6.66 16 17 O -0.37 -1.78 9.94 -55.40 -0.55 -2.33 16 18 C 0.13 0.33 1.13 -10.79 -0.01 0.32 16 19 C -0.18 -0.48 8.37 71.98 0.60 0.12 16 20 C -0.14 0.34 8.85 71.98 0.64 0.98 16 21 C -0.18 -0.59 8.37 71.98 0.60 0.01 16 22 C -0.14 0.65 7.43 31.12 0.23 0.88 16 23 C 0.16 0.86 6.69 22.85 0.15 1.01 16 24 O -0.49 -4.75 10.90 -68.69 -0.75 -5.50 16 25 C -0.15 -0.11 5.27 -19.80 -0.10 -0.21 16 26 C -0.08 -0.09 2.38 71.24 0.17 0.08 16 27 O -0.55 -1.65 12.88 -148.98 -1.92 -3.57 16 28 Si 0.78 -2.31 30.24 68.60 2.07 -0.24 16 29 C -0.08 0.33 8.30 22.30 0.19 0.51 16 30 H 0.09 -1.10 8.14 -2.39 -0.02 -1.12 16 31 H 0.08 -0.89 8.08 -2.39 -0.02 -0.91 16 32 H 0.08 -1.13 8.08 -2.39 -0.02 -1.15 16 33 H 0.16 -2.01 6.40 -2.91 -0.02 -2.02 16 34 H 0.41 -4.12 6.73 -92.71 -0.62 -4.74 16 35 H 0.10 -0.82 8.10 -2.39 -0.02 -0.84 16 36 H 0.09 -0.96 8.14 -2.39 -0.02 -0.98 16 37 H 0.06 -0.06 7.85 -2.39 -0.02 -0.08 16 38 H 0.07 -0.18 8.14 -2.39 -0.02 -0.20 16 39 H 0.42 -2.51 8.58 -92.71 -0.80 -3.31 16 40 H 0.06 0.11 8.14 -2.39 -0.02 0.09 16 41 H 0.09 -0.05 8.14 -2.39 -0.02 -0.07 16 42 H 0.06 0.51 5.88 -2.39 -0.01 0.50 16 43 H 0.07 -0.17 8.14 -2.39 -0.02 -0.19 16 44 H 0.10 -0.55 8.14 -2.39 -0.02 -0.57 16 45 H 0.07 -0.21 8.14 -2.39 -0.02 -0.23 16 46 H 0.06 0.55 5.88 -2.39 -0.01 0.54 16 47 H 0.09 -0.01 8.14 -2.39 -0.02 -0.03 16 48 H 0.06 0.17 8.14 -2.39 -0.02 0.15 16 49 H 0.07 -0.23 8.14 -2.38 -0.02 -0.25 16 50 H 0.09 -0.28 7.90 -2.39 -0.02 -0.30 16 51 H 0.40 2.18 9.06 -74.05 -0.67 1.51 16 52 H 0.11 0.39 7.82 -2.39 -0.02 0.37 16 53 H 0.39 -1.52 8.70 -74.06 -0.64 -2.16 16 54 H -0.30 -1.66 7.11 99.48 0.71 -0.96 16 55 H -0.26 0.70 6.68 99.48 0.66 1.37 16 56 H 0.15 -1.20 4.83 -2.91 -0.01 -1.21 16 Total: 0.00 -28.10 448.65 -2.31 -30.41 By element: Atomic # 1 Polarization: -16.28 SS G_CDS: -1.79 Total: -18.07 kcal Atomic # 6 Polarization: 10.77 SS G_CDS: 5.73 Total: 16.51 kcal Atomic # 7 Polarization: 3.06 SS G_CDS: -5.60 Total: -2.54 kcal Atomic # 8 Polarization: -23.34 SS G_CDS: -2.73 Total: -26.07 kcal Atomic # 14 Polarization: -2.31 SS G_CDS: 2.07 Total: -0.24 kcal Total: -28.10 -2.31 -30.41 kcal The number of atoms in the molecule is 56 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_13437852_13422088.mol2 56 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 -110.614 kcal (2) G-P(sol) polarization free energy of solvation -28.103 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -138.717 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.309 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -30.413 kcal (6) G-S(sol) free energy of system = (1) + (5) -141.026 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.37 seconds