Wall clock time and date at job start Wed Apr 1 2020 02:25:57 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 * 109.49643 * 2 1 4 4 C 1.53044 * 109.49694 * 120.06496 * 2 1 3 5 5 C 1.53042 * 109.53342 * 181.31758 * 4 2 1 6 6 C 1.53183 * 109.31220 * 298.63045 * 5 4 2 7 7 H 1.09002 * 109.59229 * 294.85074 * 6 5 4 8 8 C 1.53000 * 109.70569 * 174.49556 * 6 5 4 9 9 N 1.46500 * 109.47569 * 180.43434 * 8 6 5 10 10 C 1.34778 * 120.00318 * 179.97438 * 9 8 6 11 11 O 1.21286 * 119.99400 * 0.02562 * 10 9 8 12 12 C 1.50698 * 119.99992 * 180.02562 * 10 9 8 13 13 F 1.39895 * 109.54182 * 59.82501 * 12 10 9 14 14 C 1.53175 * 109.54621 * 299.55490 * 12 10 9 15 15 C 1.53089 * 109.16383 * 183.15422 * 14 12 10 16 16 O 1.42904 * 109.41613 * 57.61049 * 15 14 12 17 17 C 1.42903 * 114.09403 * 298.84131 * 16 15 14 18 18 C 1.53090 * 109.41511 * 61.15931 * 17 16 15 19 19 N 1.46928 * 108.77976 * 54.64111 * 6 5 4 20 20 C 1.36930 * 120.63399 * 126.36671 * 19 6 5 21 21 H 1.07994 * 119.99945 * 328.77970 * 20 19 6 22 22 C 1.38809 * 119.99822 * 148.78852 * 20 19 6 23 23 N 1.31618 * 120.00317 * 347.84360 * 22 20 19 24 24 Si 1.86807 * 119.99920 * 167.85000 * 22 20 19 25 25 H 1.48492 * 109.46977 * 269.99487 * 24 22 20 26 26 H 1.48499 * 109.46889 * 29.99679 * 24 22 20 27 27 H 1.48503 * 109.47064 * 149.99400 * 24 22 20 28 28 C 1.46934 * 118.73050 * 306.64290 * 19 6 5 29 29 H 1.09005 * 109.47419 * 299.93625 * 1 2 3 30 30 H 1.08996 * 109.47806 * 59.93717 * 1 2 3 31 31 H 1.09004 * 109.47354 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.47068 * 180.02562 * 3 2 1 33 33 H 1.09004 * 109.46852 * 300.06237 * 3 2 1 34 34 H 1.08996 * 109.47559 * 60.06172 * 3 2 1 35 35 H 1.08993 * 109.46018 * 61.29612 * 4 2 1 36 36 H 1.09005 * 109.44672 * 301.32482 * 4 2 1 37 37 H 1.09004 * 109.49166 * 178.68166 * 5 4 2 38 38 H 1.08996 * 109.52873 * 58.59950 * 5 4 2 39 39 H 1.09002 * 109.47119 * 300.43813 * 8 6 5 40 40 H 1.08998 * 109.47150 * 60.43142 * 8 6 5 41 41 H 0.97002 * 119.99857 * 0.02562 * 9 8 6 42 42 H 1.09007 * 109.51899 * 303.06260 * 14 12 10 43 43 H 1.09001 * 109.51725 * 63.24363 * 14 12 10 44 44 H 1.09004 * 109.47720 * 297.62710 * 15 14 12 45 45 H 1.08998 * 109.48843 * 177.59916 * 15 14 12 46 46 H 1.09001 * 109.48143 * 301.17208 * 17 16 15 47 47 H 1.09000 * 109.48517 * 181.14671 * 17 16 15 48 48 H 1.09004 * 109.52036 * 182.48320 * 18 17 16 49 49 H 1.09002 * 109.57698 * 62.32865 * 18 17 16 50 50 H 0.97005 * 120.00277 * 180.02562 * 23 22 20 51 51 H 1.09006 * 109.58205 * 173.14009 * 28 19 6 52 52 H 1.08995 * 109.58617 * 293.56265 * 28 19 6 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 2.0406 1.4423 0.0000 4 6 2.0408 -0.7228 1.2486 5 6 3.5708 -0.6946 1.2661 6 6 4.1052 -1.4267 0.0312 7 1 3.8375 -2.4818 0.0875 8 6 5.6274 -1.2866 -0.0331 9 7 6.1319 -1.9795 -1.2212 10 6 7.4536 -1.9892 -1.4853 11 8 8.2252 -1.4246 -0.7390 12 6 7.9724 -2.7015 -2.7078 13 9 7.4007 -2.1399 -3.8545 14 6 7.6100 -4.1876 -2.6274 15 6 8.2084 -4.9167 -3.8332 16 8 9.6238 -4.7207 -3.8524 17 6 10.0219 -3.3537 -3.9741 18 6 9.4964 -2.5618 -2.7740 19 7 3.5046 -0.8295 -1.1694 20 6 4.2935 -0.3792 -2.1940 21 1 5.2775 0.0139 -1.9852 22 6 3.8285 -0.4279 -3.5009 23 7 2.7443 -1.1164 -3.7885 24 14 4.7416 0.4838 -4.8518 25 1 4.1997 1.8609 -4.9732 26 1 6.1867 0.5482 -4.5159 27 1 4.5644 -0.2333 -6.1401 28 6 2.0415 -0.7191 -1.2469 29 1 -0.3634 0.5129 0.8906 30 1 -0.3634 0.5148 -0.8893 31 1 -0.3634 -1.0277 -0.0005 32 1 3.1306 1.4418 -0.0005 33 1 1.6766 1.9566 -0.8895 34 1 1.6785 1.9560 0.8905 35 1 1.6967 -1.7569 1.2358 36 1 1.6582 -0.2236 2.1389 37 1 3.9334 -1.1890 2.1674 38 1 3.9164 0.3391 1.2542 39 1 5.8931 -0.2308 -0.0879 40 1 6.0709 -1.7268 0.8600 41 1 5.5147 -2.4306 -1.8182 42 1 8.0137 -4.6117 -1.7080 43 1 6.5257 -4.2990 -2.6356 44 1 7.7740 -4.5193 -4.7506 45 1 7.9899 -5.9820 -3.7592 46 1 9.6112 -2.9360 -4.8934 47 1 11.1099 -3.2929 -4.0015 48 1 9.7612 -1.5105 -2.8871 49 1 9.9381 -2.9521 -1.8571 50 1 2.4195 -1.1507 -4.7020 51 1 1.7645 -0.1503 -2.1345 52 1 1.6020 -1.7153 -1.2970 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 ZINC001099103072.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 02:25:57 Heat of formation + Delta-G solvation = -121.076974 kcal Electronic energy + Delta-G solvation = -33364.695075 eV Core-core repulsion = 29085.710742 eV Total energy + Delta-G solvation = -4278.984334 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 1.34 seconds Orbital eigenvalues (eV) -47.65744 -39.62232 -38.82643 -38.21400 -35.21300 -33.28077 -33.07232 -32.17605 -31.21029 -30.00805 -27.80157 -26.62726 -25.70106 -25.50494 -23.83926 -23.26546 -22.27325 -20.88744 -20.17093 -19.53367 -17.93260 -17.68983 -16.50021 -16.26323 -16.13951 -15.82204 -15.47466 -15.17948 -14.95671 -14.55459 -14.24188 -14.08313 -13.96270 -13.73648 -13.49701 -13.30581 -12.97991 -12.66024 -12.53675 -12.45310 -12.41963 -12.20934 -12.12036 -11.68634 -11.46043 -11.42054 -11.29177 -11.15907 -10.84562 -10.81599 -10.72692 -10.66425 -10.49424 -10.40696 -10.12853 -10.06061 -9.86680 -9.81655 -9.49626 -9.35109 -9.15515 -8.61966 -8.31818 -6.65713 -5.84685 -3.32329 2.86113 3.36649 3.43910 3.47541 3.49961 3.79621 4.34195 4.41263 4.44940 4.79910 4.82978 4.88865 5.14680 5.17003 5.29308 5.35256 5.43092 5.44611 5.47892 5.56587 5.57478 5.59640 5.64914 5.72078 5.83285 5.87656 5.97766 5.99476 6.05225 6.13398 6.18382 6.20785 6.29681 6.33601 6.41679 6.45112 6.45784 6.49138 6.62890 6.88358 6.89433 6.96547 7.06329 7.06911 7.10334 7.37045 7.66106 7.78734 8.04661 8.39768 8.61529 9.15887 9.76644 10.34144 11.21619 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.014402 B = 0.004156 C = 0.003640 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1943.678112 B = 6735.190188 C = 7690.138433 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C -0.095 4.095 3 C -0.124 4.124 4 C -0.095 4.095 5 C -0.130 4.130 6 C 0.160 3.840 7 H 0.031 0.969 8 C 0.133 3.867 9 N -0.678 5.678 10 C 0.495 3.505 11 O -0.549 6.549 12 C 0.108 3.892 13 F -0.184 7.184 14 C -0.174 4.174 15 C 0.062 3.938 16 O -0.382 6.382 17 C 0.060 3.940 18 C -0.158 4.158 19 N -0.585 5.585 20 C -0.253 4.253 21 H 0.068 0.932 22 C 0.016 3.984 23 N -0.898 5.898 24 Si 0.890 3.110 25 H -0.290 1.290 26 H -0.274 1.274 27 H -0.291 1.291 28 C 0.188 3.812 29 H 0.041 0.959 30 H 0.051 0.949 31 H 0.047 0.953 32 H 0.065 0.935 33 H 0.045 0.955 34 H 0.030 0.970 35 H 0.052 0.948 36 H 0.045 0.955 37 H 0.050 0.950 38 H 0.065 0.935 39 H 0.068 0.932 40 H 0.057 0.943 41 H 0.418 0.582 42 H 0.092 0.908 43 H 0.094 0.906 44 H 0.061 0.939 45 H 0.102 0.898 46 H 0.058 0.942 47 H 0.101 0.899 48 H 0.091 0.909 49 H 0.095 0.905 50 H 0.253 0.747 51 H 0.087 0.913 52 H 0.016 0.984 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.754 -4.993 4.425 8.192 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 -0.191 4.191 2 C -0.097 4.097 3 C -0.182 4.182 4 C -0.133 4.133 5 C -0.170 4.170 6 C 0.053 3.947 7 H 0.048 0.952 8 C 0.009 3.991 9 N -0.328 5.328 10 C 0.278 3.722 11 O -0.428 6.428 12 C 0.086 3.914 13 F -0.164 7.164 14 C -0.212 4.212 15 C -0.015 4.015 16 O -0.301 6.301 17 C -0.017 4.017 18 C -0.196 4.196 19 N -0.308 5.308 20 C -0.382 4.382 21 H 0.085 0.915 22 C -0.184 4.184 23 N -0.542 5.542 24 Si 0.720 3.280 25 H -0.217 1.217 26 H -0.199 1.199 27 H -0.217 1.217 28 C 0.062 3.938 29 H 0.060 0.940 30 H 0.070 0.930 31 H 0.067 0.933 32 H 0.084 0.916 33 H 0.064 0.936 34 H 0.049 0.951 35 H 0.071 0.929 36 H 0.064 0.936 37 H 0.068 0.932 38 H 0.084 0.916 39 H 0.086 0.914 40 H 0.075 0.925 41 H 0.256 0.744 42 H 0.111 0.889 43 H 0.113 0.887 44 H 0.079 0.921 45 H 0.120 0.880 46 H 0.076 0.924 47 H 0.119 0.881 48 H 0.109 0.891 49 H 0.114 0.886 50 H 0.064 0.936 51 H 0.105 0.895 52 H 0.034 0.966 Dipole moment (debyes) X Y Z Total from point charges 5.317 -4.766 4.761 8.582 hybrid contribution -0.346 0.725 -1.146 1.400 sum 4.971 -4.041 3.614 7.356 Atomic orbital electron populations 1.21756 0.96011 1.00820 1.00519 1.21176 0.93882 0.96415 0.98207 1.21707 1.02087 0.95130 0.99236 1.21406 0.95235 0.99626 0.97022 1.22003 0.96156 1.01285 0.97515 1.20725 0.89909 0.95244 0.88792 0.95155 1.21358 0.94161 0.97496 0.86101 1.46016 1.06478 1.53128 1.27129 1.20508 0.83470 0.81489 0.86746 1.90658 1.56679 1.45549 1.49909 1.21106 0.94405 0.93707 0.82176 1.92965 1.86186 1.86520 1.50732 1.22797 1.03706 0.92991 1.01742 1.22568 0.81136 1.00957 0.96820 1.87912 1.22223 1.25525 1.94431 1.22627 1.00484 0.81833 0.96776 1.22543 0.92443 1.03260 1.01352 1.44019 1.01779 1.69425 1.15609 1.19127 0.99641 1.34591 0.84847 0.91456 1.25017 0.97793 0.98414 0.97161 1.69986 1.24184 1.41313 1.18688 0.86455 0.80183 0.79396 0.81961 1.21723 1.19897 1.21718 1.20726 0.82581 0.96546 0.93936 0.93986 0.93032 0.93347 0.91641 0.93631 0.95081 0.92942 0.93643 0.93154 0.91620 0.91417 0.92493 0.74393 0.88892 0.88713 0.92085 0.88013 0.92394 0.88125 0.89081 0.88606 0.93644 0.89501 0.96577 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.13 -2.07 8.48 37.16 0.32 -1.76 16 2 C -0.10 -1.67 0.77 -154.61 -0.12 -1.79 16 3 C -0.12 -2.19 7.98 37.16 0.30 -1.90 16 4 C -0.10 -1.51 4.71 -26.69 -0.13 -1.63 16 5 C -0.13 -2.09 5.03 -26.62 -0.13 -2.22 16 6 C 0.16 2.95 3.01 -67.60 -0.20 2.75 16 7 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 8 C 0.13 2.41 4.44 -4.04 -0.02 2.40 16 9 N -0.68 -12.66 3.76 -60.29 -0.23 -12.89 16 10 C 0.50 9.22 6.88 -10.99 -0.08 9.14 16 11 O -0.55 -11.34 15.97 5.55 0.09 -11.25 16 12 C 0.11 1.74 1.07 -91.59 -0.10 1.64 16 13 F -0.18 -3.48 16.07 2.25 0.04 -3.44 16 14 C -0.17 -2.30 5.08 -26.59 -0.14 -2.43 16 15 C 0.06 0.75 6.72 37.20 0.25 1.00 16 16 O -0.38 -5.00 10.77 -35.23 -0.38 -5.38 16 17 C 0.06 0.73 6.72 37.20 0.25 0.98 16 18 C -0.16 -2.22 4.52 -26.59 -0.12 -2.34 16 19 N -0.58 -12.70 2.42 -165.04 -0.40 -13.10 16 20 C -0.25 -6.13 6.97 -15.06 -0.10 -6.23 16 21 H 0.07 1.71 5.86 -52.49 -0.31 1.41 16 22 C 0.02 0.41 5.01 -17.43 -0.09 0.32 16 23 N -0.90 -23.92 11.15 55.49 0.62 -23.30 16 24 Si 0.89 21.47 29.57 -169.99 -5.03 16.44 16 25 H -0.29 -7.09 7.11 56.52 0.40 -6.69 16 26 H -0.27 -6.71 7.11 56.52 0.40 -6.31 16 27 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 28 C 0.19 4.04 3.90 -3.93 -0.02 4.03 16 29 H 0.04 0.58 8.14 -51.93 -0.42 0.15 16 30 H 0.05 0.82 8.14 -51.93 -0.42 0.39 16 31 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 32 H 0.06 1.26 5.97 -51.93 -0.31 0.95 16 33 H 0.04 0.84 8.14 -51.93 -0.42 0.41 16 34 H 0.03 0.48 8.14 -51.93 -0.42 0.05 16 35 H 0.05 0.83 8.14 -51.93 -0.42 0.41 16 36 H 0.04 0.65 8.14 -51.93 -0.42 0.23 16 37 H 0.05 0.70 8.14 -51.93 -0.42 0.28 16 38 H 0.07 1.10 6.34 -51.93 -0.33 0.77 16 39 H 0.07 1.36 7.41 -51.93 -0.38 0.98 16 40 H 0.06 0.95 8.14 -51.93 -0.42 0.52 16 41 H 0.42 8.21 6.91 -40.82 -0.28 7.92 16 42 H 0.09 1.13 8.14 -51.92 -0.42 0.71 16 43 H 0.09 1.24 7.70 -51.93 -0.40 0.84 16 44 H 0.06 0.77 7.93 -51.93 -0.41 0.36 16 45 H 0.10 0.99 8.14 -51.93 -0.42 0.57 16 46 H 0.06 0.72 7.93 -51.93 -0.41 0.31 16 47 H 0.10 0.99 8.14 -51.93 -0.42 0.56 16 48 H 0.09 1.33 8.14 -51.93 -0.42 0.90 16 49 H 0.10 1.32 8.02 -51.93 -0.42 0.90 16 50 H 0.25 6.72 8.31 -40.82 -0.34 6.38 16 51 H 0.09 2.16 6.16 -51.93 -0.32 1.84 16 52 H 0.02 0.37 8.14 -51.93 -0.42 -0.05 16 LS Contribution 393.00 15.07 5.92 5.92 Total: -1.00 -27.97 393.00 -8.54 -36.51 By element: Atomic # 1 Polarization: 17.59 SS G_CDS: -9.05 Total: 8.54 kcal Atomic # 6 Polarization: 2.07 SS G_CDS: -0.13 Total: 1.95 kcal Atomic # 7 Polarization: -49.28 SS G_CDS: -0.01 Total: -49.28 kcal Atomic # 8 Polarization: -16.34 SS G_CDS: -0.29 Total: -16.63 kcal Atomic # 9 Polarization: -3.48 SS G_CDS: 0.04 Total: -3.44 kcal Atomic # 14 Polarization: 21.47 SS G_CDS: -5.03 Total: 16.44 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -27.97 -8.54 -36.51 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. ZINC001099103072.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 -84.566 kcal (2) G-P(sol) polarization free energy of solvation -27.969 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.535 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.542 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.511 kcal (6) G-S(sol) free energy of system = (1) + (5) -121.077 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.34 seconds