Wall clock time and date at job start Sat Apr 11 2020 04:55:28 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 1.53004 * 1 3 3 H 1.09001 * 109.46852 * 2 1 4 4 C 1.50698 * 109.47305 * 120.00291 * 2 1 3 5 5 H 1.08004 * 119.99537 * 120.00090 * 4 2 1 6 6 C 1.37874 * 119.99961 * 299.99659 * 4 2 1 7 7 N 1.31512 * 120.00249 * 0.02562 * 6 4 2 8 8 Si 1.86800 * 119.99731 * 180.02562 * 6 4 2 9 9 H 1.48497 * 109.47179 * 89.99852 * 8 6 4 10 10 H 1.48507 * 109.46805 * 210.00056 * 8 6 4 11 11 H 1.48501 * 109.47460 * 329.99646 * 8 6 4 12 12 N 1.46899 * 109.46578 * 240.00428 * 2 1 3 13 13 C 1.46900 * 110.99915 * 306.04153 * 12 2 1 14 14 C 1.38580 * 111.00293 * 69.99785 * 12 2 1 15 15 N 1.31220 * 126.47315 * 304.66199 * 14 12 2 16 16 N 1.28529 * 109.85596 * 179.97438 * 15 14 12 17 17 C 1.30286 * 110.05720 * 359.97438 * 16 15 14 18 18 C 1.50706 * 126.34612 * 179.97438 * 17 16 15 19 19 C 1.54267 * 110.03278 * 57.95089 * 18 17 16 20 20 C 1.54958 * 104.16435 * 217.13722 * 19 18 17 21 21 C 1.54896 * 102.77482 * 37.88539 * 20 19 18 22 22 C 1.53874 * 110.03366 * 300.73592 * 18 17 16 23 23 N 1.36453 * 126.47469 * 124.63459 * 14 12 2 24 24 C 1.46505 * 127.13203 * 0.28888 * 23 14 12 25 25 C 1.53006 * 109.46986 * 265.96417 * 24 23 14 26 26 C 1.53001 * 109.46508 * 60.00326 * 25 24 23 27 27 C 1.52992 * 109.46973 * 180.02562 * 25 24 23 28 28 O 1.42900 * 109.47219 * 300.00493 * 25 24 23 29 29 H 1.08993 * 109.47304 * 59.99335 * 1 2 3 30 30 H 1.09001 * 109.46852 * 179.97438 * 1 2 3 31 31 H 1.09008 * 109.46494 * 299.99470 * 1 2 3 32 32 H 0.96994 * 120.00081 * 179.97438 * 7 6 4 33 33 H 1.09007 * 109.47110 * 189.43749 * 13 12 2 34 34 H 1.08995 * 109.47681 * 309.43790 * 13 12 2 35 35 H 1.09001 * 109.47363 * 69.44144 * 13 12 2 36 36 H 1.08997 * 110.01406 * 179.34048 * 18 17 16 37 37 H 1.09008 * 110.48571 * 335.78532 * 19 18 17 38 38 H 1.09001 * 110.48643 * 98.42242 * 19 18 17 39 39 H 1.09007 * 110.71638 * 279.57601 * 20 19 18 40 40 H 1.08991 * 110.76832 * 156.22037 * 20 19 18 41 41 H 1.09001 * 110.48544 * 203.40643 * 21 20 19 42 42 H 1.09002 * 110.59513 * 80.81980 * 21 20 19 43 43 H 1.09004 * 110.03121 * 238.57076 * 22 18 17 44 44 H 1.09004 * 110.02859 * 359.95170 * 22 18 17 45 45 H 1.08998 * 109.47464 * 25.96679 * 24 23 14 46 46 H 1.09004 * 109.46805 * 145.97044 * 24 23 14 47 47 H 1.08998 * 109.47310 * 60.00125 * 26 25 24 48 48 H 1.09008 * 109.46499 * 180.02562 * 26 25 24 49 49 H 1.08996 * 109.47401 * 299.99850 * 26 25 24 50 50 H 1.08999 * 109.47449 * 60.00237 * 27 25 24 51 51 H 1.09000 * 109.47281 * 180.02562 * 27 25 24 52 52 H 1.08998 * 109.47235 * 300.00114 * 27 25 24 53 53 H 0.96704 * 114.00148 * 299.99931 * 28 25 24 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 1 1.8933 1.0277 0.0000 4 6 2.0324 -0.7105 1.2304 5 1 2.6534 -1.5885 1.1311 6 6 1.6994 -0.2394 2.4827 7 7 0.9430 0.8296 2.6034 8 14 2.3228 -1.1197 4.0078 9 1 3.6308 -0.5443 4.4116 10 1 1.3447 -0.9492 5.1122 11 1 2.4882 -2.5655 3.7120 12 7 2.0196 -0.6924 -1.1995 13 6 1.4342 -2.0354 -1.3079 14 6 1.7679 0.0526 -2.3406 15 7 0.6012 0.5058 -2.7346 16 7 0.7346 1.1566 -3.8349 17 6 1.9839 1.1577 -4.2048 18 6 2.5494 1.8119 -5.4390 19 6 2.2314 3.3214 -5.4299 20 6 1.9455 3.6577 -6.9153 21 6 1.1816 2.4040 -7.4093 22 6 1.8826 1.2288 -6.6973 23 7 2.6865 0.4539 -3.2664 24 6 4.1261 0.1821 -3.2592 25 6 4.8620 1.3484 -2.5965 26 6 4.3668 1.5124 -1.1582 27 6 6.3654 1.0648 -2.5897 28 8 4.6075 2.5494 -3.3278 29 1 -0.3633 0.5139 -0.8899 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3632 0.5138 0.8901 32 1 0.7084 1.1607 3.4844 33 1 1.9348 -2.5869 -2.1038 34 1 1.5616 -2.5646 -0.3636 35 1 0.3718 -1.9513 -1.5368 36 1 3.6275 1.6576 -5.4823 37 1 1.3524 3.5224 -4.8173 38 1 3.0881 3.8895 -5.0673 39 1 2.8764 3.7855 -7.4678 40 1 1.3213 4.5474 -6.9968 41 1 1.2724 2.3036 -8.4909 42 1 0.1323 2.4551 -7.1186 43 1 2.6373 0.7923 -7.3516 44 1 1.1505 0.4720 -6.4152 45 1 4.3202 -0.7340 -2.7015 46 1 4.4788 0.0652 -4.2840 47 1 4.5609 0.5963 -0.6004 48 1 4.8908 2.3436 -0.6861 49 1 3.2958 1.7145 -1.1634 50 1 6.7179 0.9482 -3.6145 51 1 6.8897 1.8954 -2.1171 52 1 6.5598 0.1486 -2.0321 53 1 4.8963 2.5170 -4.2501 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001411676012.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 04:55:28 Heat of formation + Delta-G solvation = 31.038502 kcal Electronic energy + Delta-G solvation = -32372.139808 eV Core-core repulsion = 28473.272283 eV Total energy + Delta-G solvation = -3898.867526 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.227 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -42.52648 -38.47202 -38.10425 -37.01020 -34.22362 -32.80597 -32.07884 -30.58436 -28.73113 -28.69368 -27.52427 -27.23536 -26.75087 -25.21101 -24.99891 -22.08958 -21.50631 -20.68385 -20.58077 -19.51544 -19.00947 -17.48014 -16.53780 -16.09156 -15.78683 -15.72668 -15.16132 -15.12533 -14.93953 -14.55398 -14.27137 -13.88837 -13.51027 -13.31287 -13.00504 -12.63894 -12.58410 -12.36033 -11.97098 -11.80862 -11.64441 -11.57021 -11.54421 -11.45870 -11.24219 -11.17601 -11.12484 -11.06317 -11.01232 -10.89179 -10.74305 -10.70946 -10.62792 -10.42454 -10.32921 -10.11640 -10.05668 -9.75996 -9.36389 -8.79478 -8.40223 -8.28159 -7.69422 -6.03495 -4.09929 2.26941 2.73820 3.27909 3.35140 3.36967 3.43599 4.10594 4.34132 4.37673 4.54121 4.58118 4.60771 4.65503 4.71815 4.94915 5.04119 5.13116 5.20899 5.27982 5.39493 5.41994 5.49209 5.49861 5.55379 5.62307 5.78077 5.83020 5.84928 5.87464 5.92350 5.96708 6.04199 6.18903 6.20027 6.22296 6.28727 6.31214 6.35352 6.44454 6.52786 6.61807 6.74859 6.91180 7.11590 7.17575 7.31653 7.54571 7.60657 7.71435 7.79644 8.00633 8.32155 8.52907 8.93390 9.38888 9.54635 11.02791 Molecular weight = 336.23amu Principal moments of inertia in cm(-1) A = 0.015401 B = 0.003950 C = 0.003529 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1817.611603 B = 7087.397018 C = 7931.756758 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.179 4.179 2 C 0.228 3.772 3 H 0.040 0.960 4 C -0.507 4.507 5 H 0.063 0.937 6 C 0.063 3.937 7 N -0.886 5.886 8 Si 0.897 3.103 9 H -0.281 1.281 10 H -0.287 1.287 11 H -0.274 1.274 12 N -0.468 5.468 13 C 0.044 3.956 14 C 0.372 3.628 15 N -0.312 5.312 16 N -0.294 5.294 17 C 0.177 3.823 18 C 0.009 3.991 19 C -0.109 4.109 20 C -0.124 4.124 21 C -0.121 4.121 22 C -0.114 4.114 23 N -0.462 5.462 24 C 0.089 3.911 25 C 0.115 3.885 26 C -0.134 4.134 27 C -0.173 4.173 28 O -0.547 6.547 29 H 0.045 0.955 30 H 0.027 0.973 31 H 0.084 0.916 32 H 0.261 0.739 33 H 0.041 0.959 34 H 0.089 0.911 35 H 0.036 0.964 36 H 0.075 0.925 37 H 0.079 0.921 38 H 0.071 0.929 39 H 0.064 0.936 40 H 0.067 0.933 41 H 0.062 0.938 42 H 0.070 0.930 43 H 0.064 0.936 44 H 0.071 0.929 45 H 0.110 0.890 46 H 0.083 0.917 47 H 0.086 0.914 48 H 0.057 0.943 49 H 0.068 0.932 50 H 0.055 0.945 51 H 0.070 0.930 52 H 0.072 0.928 53 H 0.364 0.636 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 9.632 0.991 -17.867 20.322 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 -0.239 4.239 2 C 0.124 3.876 3 H 0.058 0.942 4 C -0.545 4.545 5 H 0.081 0.919 6 C -0.139 4.139 7 N -0.525 5.525 8 Si 0.725 3.275 9 H -0.207 1.207 10 H -0.213 1.213 11 H -0.199 1.199 12 N -0.194 5.194 13 C -0.104 4.104 14 C 0.016 3.984 15 N -0.155 5.155 16 N -0.134 5.134 17 C -0.090 4.090 18 C -0.012 4.012 19 C -0.147 4.147 20 C -0.161 4.161 21 C -0.158 4.158 22 C -0.152 4.152 23 N -0.155 5.155 24 C -0.035 4.035 25 C 0.073 3.927 26 C -0.191 4.191 27 C -0.231 4.231 28 O -0.352 6.352 29 H 0.064 0.936 30 H 0.046 0.954 31 H 0.102 0.898 32 H 0.071 0.929 33 H 0.060 0.940 34 H 0.108 0.892 35 H 0.055 0.945 36 H 0.094 0.906 37 H 0.097 0.903 38 H 0.090 0.910 39 H 0.083 0.917 40 H 0.086 0.914 41 H 0.081 0.919 42 H 0.089 0.911 43 H 0.082 0.918 44 H 0.090 0.910 45 H 0.128 0.872 46 H 0.102 0.898 47 H 0.105 0.895 48 H 0.076 0.924 49 H 0.087 0.913 50 H 0.074 0.926 51 H 0.089 0.911 52 H 0.091 0.909 53 H 0.210 0.790 Dipole moment (debyes) X Y Z Total from point charges 8.320 1.486 -17.068 19.046 hybrid contribution 1.244 -0.913 0.516 1.627 sum 9.564 0.573 -16.552 19.125 Atomic orbital electron populations 1.22540 0.99043 0.99836 1.02444 1.19383 0.91317 0.93904 0.82996 0.94191 1.20987 1.31421 1.12816 0.89307 0.91851 1.24888 0.95058 0.95077 0.98887 1.69916 1.36223 1.22773 1.23541 0.86517 0.78473 0.79926 0.82561 1.20747 1.21306 1.19907 1.59412 1.59093 1.02401 0.98536 1.22250 0.97383 0.88511 1.02211 1.22883 0.84249 0.99174 0.92046 1.74765 1.20082 1.13825 1.06795 1.73903 1.14300 1.17295 1.07893 1.24373 0.89704 1.00020 0.94906 1.20050 0.98160 0.95102 0.87859 1.22408 1.02773 0.92782 0.96745 1.22509 0.99925 0.97918 0.95765 1.22321 1.00149 0.94249 0.99107 1.22186 0.99693 0.98595 0.94766 1.46162 1.08455 1.41214 1.19622 1.22517 0.77698 1.01078 1.02232 1.21673 0.93325 0.83604 0.94084 1.21791 1.02814 1.03219 0.91236 1.22415 0.95115 1.03429 1.02166 1.86757 1.85278 1.37026 1.26177 0.93593 0.95426 0.89762 0.92854 0.94009 0.89230 0.94528 0.90634 0.90253 0.91001 0.91703 0.91431 0.91930 0.91080 0.91766 0.91032 0.87199 0.89833 0.89507 0.92442 0.91273 0.92551 0.91083 0.90920 0.78968 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -4.60 8.18 37.16 0.30 -4.30 16 2 C 0.23 5.67 2.15 -68.86 -0.15 5.53 16 3 H 0.04 1.13 6.43 -51.93 -0.33 0.79 16 4 C -0.51 -13.19 7.83 -34.44 -0.27 -13.46 16 5 H 0.06 1.61 7.17 -52.48 -0.38 1.24 16 6 C 0.06 1.69 5.30 -17.82 -0.09 1.60 16 7 N -0.89 -25.05 11.32 55.43 0.63 -24.43 16 8 Si 0.90 20.73 29.54 -169.99 -5.02 15.71 16 9 H -0.28 -6.46 7.11 56.52 0.40 -6.06 16 10 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 11 H -0.27 -6.21 7.11 56.52 0.40 -5.80 16 12 N -0.47 -9.84 4.56 -176.08 -0.80 -10.65 16 13 C 0.04 0.86 8.54 60.06 0.51 1.37 16 14 C 0.37 7.61 4.90 -318.87 -1.56 6.05 16 15 N -0.31 -7.01 9.65 30.31 0.29 -6.72 16 16 N -0.29 -5.95 11.96 32.99 0.39 -5.56 16 17 C 0.18 2.90 5.88 -154.03 -0.91 2.00 16 18 C 0.01 0.11 2.61 -90.65 -0.24 -0.13 16 19 C -0.11 -1.24 6.36 -25.03 -0.16 -1.40 16 20 C -0.12 -1.11 6.91 -24.70 -0.17 -1.28 16 21 C -0.12 -1.14 6.83 -25.07 -0.17 -1.31 16 22 C -0.11 -1.19 6.45 -25.62 -0.17 -1.36 16 23 N -0.46 -7.67 2.36 -114.08 -0.27 -7.93 16 24 C 0.09 1.12 4.95 -4.04 -0.02 1.10 16 25 C 0.11 1.43 1.17 -90.62 -0.11 1.33 16 26 C -0.13 -2.26 8.31 37.16 0.31 -1.95 16 27 C -0.17 -1.62 8.81 37.15 0.33 -1.29 16 28 O -0.55 -6.82 11.52 -35.23 -0.41 -7.23 16 29 H 0.05 1.18 5.66 -51.93 -0.29 0.89 16 30 H 0.03 0.67 6.54 -51.93 -0.34 0.33 16 31 H 0.08 2.37 6.07 -51.92 -0.32 2.06 16 32 H 0.26 7.09 8.31 -40.82 -0.34 6.75 16 33 H 0.04 0.70 8.14 -51.92 -0.42 0.28 16 34 H 0.09 1.78 6.65 -51.93 -0.35 1.43 16 35 H 0.04 0.75 6.77 -51.93 -0.35 0.39 16 36 H 0.08 0.69 5.51 -51.93 -0.29 0.40 16 37 H 0.08 1.16 7.68 -51.92 -0.40 0.76 16 38 H 0.07 0.76 7.93 -51.93 -0.41 0.35 16 39 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 40 H 0.07 0.59 8.14 -51.93 -0.42 0.16 16 41 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 42 H 0.07 0.77 8.14 -51.93 -0.42 0.34 16 43 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 44 H 0.07 0.91 7.66 -51.93 -0.40 0.52 16 45 H 0.11 1.41 8.13 -51.93 -0.42 0.99 16 46 H 0.08 0.78 7.43 -51.93 -0.39 0.39 16 47 H 0.09 1.52 8.14 -51.93 -0.42 1.10 16 48 H 0.06 0.94 8.14 -51.92 -0.42 0.52 16 49 H 0.07 1.46 4.82 -51.93 -0.25 1.21 16 50 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 51 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 52 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 53 H 0.36 3.06 7.49 45.56 0.34 3.40 16 LS Contribution 397.24 15.07 5.99 5.99 Total: -1.00 -31.34 397.24 -10.11 -41.45 By element: Atomic # 1 Polarization: 15.22 SS G_CDS: -8.35 Total: 6.87 kcal Atomic # 6 Polarization: -4.94 SS G_CDS: -2.56 Total: -7.50 kcal Atomic # 7 Polarization: -55.52 SS G_CDS: 0.24 Total: -55.28 kcal Atomic # 8 Polarization: -6.82 SS G_CDS: -0.41 Total: -7.23 kcal Atomic # 14 Polarization: 20.73 SS G_CDS: -5.02 Total: 15.71 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -31.34 -10.11 -41.45 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. ZINC001411676012.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 72.489 kcal (2) G-P(sol) polarization free energy of solvation -31.341 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 41.148 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.110 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.451 kcal (6) G-S(sol) free energy of system = (1) + (5) 31.039 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.85 seconds