Wall clock time and date at job start Wed Apr 1 2020 04:26:33 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 1.17395 * 1 3 3 C 1.47202 * 179.97438 * 2 1 4 4 N 1.46900 * 109.46728 * 207.83783 * 3 2 1 5 5 C 1.48529 * 111.00554 * 307.39924 * 4 3 2 6 6 C 1.54934 * 103.22912 * 200.27949 * 5 4 3 7 7 C 1.54597 * 102.92105 * 37.41269 * 6 5 4 8 8 C 1.47907 * 110.99845 * 190.00087 * 4 3 2 9 9 H 1.08996 * 109.91720 * 26.48982 * 8 4 3 10 10 C 1.50703 * 110.07894 * 265.29046 * 8 4 3 11 11 O 1.21271 * 120.00461 * 0.85898 * 10 8 4 12 12 N 1.34783 * 119.99373 * 180.85919 * 10 8 4 13 13 C 1.46920 * 120.71438 * 0.02562 * 12 10 8 14 14 C 1.53190 * 108.94339 * 125.75279 * 13 12 10 15 15 C 1.53191 * 109.27394 * 55.29397 * 14 13 12 16 16 C 1.52068 * 109.67850 * 300.04761 * 15 14 13 17 17 C 1.54346 * 110.60248 * 295.85927 * 16 15 14 18 18 C 1.54469 * 102.85904 * 276.43865 * 17 16 15 19 19 N 1.47080 * 107.30245 * 338.52982 * 18 17 16 20 20 C 1.36933 * 125.62155 * 179.03917 * 19 18 17 21 21 H 1.08007 * 120.00123 * 180.02562 * 20 19 18 22 22 C 1.38813 * 120.00232 * 0.02986 * 20 19 18 23 23 N 1.31612 * 119.99897 * 359.97438 * 22 20 19 24 24 Si 1.86801 * 119.99909 * 179.97438 * 22 20 19 25 25 H 1.48496 * 109.47409 * 59.99682 * 24 22 20 26 26 H 1.48500 * 109.47033 * 179.97438 * 24 22 20 27 27 H 1.48502 * 109.47075 * 299.99587 * 24 22 20 28 28 C 1.47582 * 108.75167 * 359.02088 * 19 18 17 29 29 C 1.47105 * 120.70661 * 179.72394 * 12 10 8 30 30 H 4.40889 * 5.52146 * 180.02562 * 4 1 2 31 31 H 1.08999 * 109.46990 * 87.84086 * 3 2 1 32 32 H 1.09001 * 109.47440 * 327.84035 * 3 2 1 33 33 H 1.09002 * 110.67056 * 81.84058 * 5 4 3 34 34 H 1.08999 * 110.66437 * 318.71748 * 5 4 3 35 35 H 1.09000 * 110.72047 * 279.05575 * 6 5 4 36 36 H 1.09001 * 110.72140 * 155.77197 * 6 5 4 37 37 H 1.09005 * 110.30714 * 96.95804 * 7 6 5 38 38 H 1.09005 * 110.30628 * 219.12370 * 7 6 5 39 39 H 1.09005 * 109.55642 * 245.59318 * 13 12 10 40 40 H 1.09003 * 109.56102 * 5.91028 * 13 12 10 41 41 H 1.09000 * 109.50030 * 175.23681 * 14 13 12 42 42 H 1.08998 * 109.50470 * 295.35297 * 14 13 12 43 43 H 1.09001 * 109.43549 * 60.11450 * 15 14 13 44 44 H 1.09005 * 109.43520 * 179.97438 * 15 14 13 45 45 H 1.08997 * 110.73205 * 34.78008 * 17 16 15 46 46 H 1.08998 * 110.73844 * 158.09519 * 17 16 15 47 47 H 1.09003 * 109.87585 * 97.95828 * 18 17 16 48 48 H 1.08996 * 109.87294 * 219.10112 * 18 17 16 49 49 H 0.97007 * 119.99959 * 179.97438 * 23 22 20 50 50 H 1.08998 * 110.37496 * 264.44861 * 28 19 18 51 51 H 1.08999 * 110.37589 * 142.08906 * 28 19 18 52 52 H 1.09001 * 109.57947 * 352.07466 * 29 12 10 53 53 H 1.09003 * 109.57726 * 112.46670 * 29 12 10 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 1.1740 0.0000 0.0000 3 6 2.6460 0.0007 0.0000 4 7 3.1350 1.2256 0.6468 5 6 2.5179 2.4318 0.0382 6 6 3.4923 3.5683 0.4373 7 6 4.8769 2.8882 0.3357 8 6 4.5937 1.3794 0.4564 9 1 4.9051 0.8689 -0.4549 10 6 5.3327 0.8115 1.6407 11 8 4.7162 0.3081 2.5557 12 7 6.6789 0.8632 1.6829 13 6 7.4413 1.4700 0.5834 14 6 8.3650 2.5500 1.1554 15 6 9.2455 1.9355 2.2480 16 6 8.3690 1.3769 3.3581 17 6 7.5840 2.5100 4.0525 18 6 8.6018 3.0543 5.0791 19 7 9.5946 1.9950 5.3146 20 6 10.6775 2.0878 6.1476 21 1 11.3516 1.2504 6.2523 22 6 10.9089 3.2580 6.8575 23 7 10.0878 4.2785 6.7295 24 14 12.3857 3.3841 7.9943 25 1 13.6318 3.1874 7.2109 26 1 12.4079 4.7261 8.6300 27 1 12.2919 2.3395 9.0456 28 6 9.2310 0.8156 4.5053 29 6 7.4158 0.3191 2.8340 30 1 -1.0503 -0.0005 0.0000 31 1 3.0093 -0.0379 -1.0269 32 1 3.0098 -0.8692 0.5470 33 1 1.5272 2.6098 0.4565 34 1 2.4665 2.3321 -1.0460 35 1 3.2998 3.9008 1.4573 36 1 3.4197 4.4017 -0.2615 37 1 5.3379 3.1107 -0.6267 38 1 5.5214 3.2186 1.1503 39 1 8.0382 0.7046 0.0873 40 1 6.7537 1.9198 -0.1329 41 1 8.9958 2.9477 0.3604 42 1 7.7648 3.3541 1.5810 43 1 9.8459 1.1322 1.8210 44 1 9.9043 2.7018 2.6567 45 1 7.3077 3.2833 3.3358 46 1 6.7013 2.1157 4.5559 47 1 9.0936 3.9410 4.6790 48 1 8.0929 3.2992 6.0113 49 1 10.2493 5.0962 7.2259 50 1 8.6548 0.1088 5.1023 51 1 10.1263 0.3371 4.1083 52 1 6.7130 0.0414 3.6195 53 1 7.9838 -0.5576 2.5227 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) 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 ZINC001054147433.mol2 53 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 04:26:33 Heat of formation + Delta-G solvation = 66.623553 kcal Electronic energy + Delta-G solvation = -32047.834215 eV Core-core repulsion = 28115.021022 eV Total energy + Delta-G solvation = -3932.813193 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 345.216 amu Computer time = 1.19 seconds Orbital eigenvalues (eV) -40.84038 -39.27635 -37.71360 -35.86268 -34.36142 -32.97457 -31.81312 -31.45688 -30.58478 -29.30379 -28.54601 -26.49283 -25.64079 -25.38136 -23.59224 -22.22963 -21.85601 -21.59225 -20.11131 -19.19778 -18.48223 -18.05098 -17.15780 -16.67416 -16.40490 -16.09389 -15.13977 -14.85358 -14.76799 -14.74094 -14.56009 -14.33502 -13.99056 -13.80044 -13.29888 -13.28484 -13.03608 -12.94502 -12.66106 -12.52547 -12.21908 -12.02133 -11.91610 -11.71438 -11.64628 -11.40129 -11.14747 -10.93724 -10.92603 -10.82611 -10.73898 -10.59947 -10.52362 -10.43992 -10.07980 -9.99238 -9.87199 -9.68268 -9.61202 -9.49935 -8.65726 -8.54205 -8.39678 -6.76576 -5.65920 -2.98930 2.38879 2.60684 2.74310 2.99304 3.42990 3.47346 3.48507 3.82694 4.02351 4.29412 4.37126 4.53871 4.57044 4.65107 4.83556 4.88651 4.99845 5.05203 5.11465 5.17614 5.23368 5.28048 5.31727 5.35300 5.43162 5.50981 5.56829 5.61250 5.64469 5.68917 5.74667 5.80987 5.90476 5.91429 5.96614 6.02303 6.06006 6.17798 6.36584 6.42014 6.44136 6.54417 6.61171 6.64176 6.68917 6.77998 6.86226 6.99748 7.36735 7.54183 7.61739 7.71707 7.88936 8.31291 8.35619 9.27558 9.87963 10.55062 11.45476 Molecular weight = 345.22amu Principal moments of inertia in cm(-1) A = 0.021809 B = 0.002505 C = 0.002501 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1283.578470 B =11173.422766 C =11192.470438 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.197 4.197 2 C -0.179 4.179 3 C 0.156 3.844 4 N -0.489 5.489 5 C 0.039 3.961 6 C -0.124 4.124 7 C -0.124 4.124 8 C 0.051 3.949 9 H 0.078 0.922 10 C 0.522 3.478 11 O -0.517 6.517 12 N -0.607 5.607 13 C 0.102 3.898 14 C -0.136 4.136 15 C -0.096 4.096 16 C -0.085 4.085 17 C -0.129 4.129 18 C 0.181 3.819 19 N -0.603 5.603 20 C -0.226 4.226 21 H 0.076 0.924 22 C -0.009 4.009 23 N -0.922 5.922 24 Si 0.911 3.089 25 H -0.286 1.286 26 H -0.291 1.291 27 H -0.286 1.286 28 C 0.148 3.852 29 C 0.132 3.868 30 H 0.218 0.782 31 H 0.058 0.942 32 H 0.102 0.898 33 H 0.086 0.914 34 H 0.046 0.954 35 H 0.080 0.920 36 H 0.077 0.923 37 H 0.080 0.920 38 H 0.085 0.915 39 H 0.066 0.934 40 H 0.082 0.918 41 H 0.071 0.929 42 H 0.071 0.929 43 H 0.056 0.944 44 H 0.078 0.922 45 H 0.057 0.943 46 H 0.054 0.946 47 H 0.043 0.957 48 H 0.038 0.962 49 H 0.251 0.749 50 H 0.019 0.981 51 H 0.039 0.961 52 H 0.091 0.909 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.082 -4.291 -20.980 25.094 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 -0.215 4.215 2 C -0.179 4.179 3 C 0.030 3.970 4 N -0.213 5.213 5 C -0.089 4.089 6 C -0.162 4.162 7 C -0.163 4.163 8 C -0.061 4.061 9 H 0.095 0.905 10 C 0.308 3.692 11 O -0.391 6.391 12 N -0.342 5.342 13 C -0.021 4.021 14 C -0.174 4.174 15 C -0.133 4.133 16 C -0.087 4.087 17 C -0.168 4.168 18 C 0.057 3.943 19 N -0.329 5.329 20 C -0.354 4.354 21 H 0.094 0.906 22 C -0.205 4.205 23 N -0.570 5.570 24 Si 0.741 3.259 25 H -0.213 1.213 26 H -0.217 1.217 27 H -0.212 1.212 28 C 0.022 3.978 29 C 0.009 3.991 30 H 0.235 0.765 31 H 0.076 0.924 32 H 0.120 0.880 33 H 0.104 0.896 34 H 0.065 0.935 35 H 0.098 0.902 36 H 0.095 0.905 37 H 0.098 0.902 38 H 0.104 0.896 39 H 0.084 0.916 40 H 0.100 0.900 41 H 0.089 0.911 42 H 0.089 0.911 43 H 0.075 0.925 44 H 0.097 0.903 45 H 0.075 0.925 46 H 0.073 0.927 47 H 0.061 0.939 48 H 0.057 0.943 49 H 0.062 0.938 50 H 0.037 0.963 51 H 0.057 0.943 52 H 0.110 0.890 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -13.444 -4.462 -19.774 24.324 hybrid contribution 0.876 0.136 -0.218 0.913 sum -12.568 -4.326 -19.991 24.007 Atomic orbital electron populations 1.24876 0.95840 0.99748 1.01035 1.22709 0.94035 1.00939 1.00224 1.19242 0.85266 0.94820 0.97692 1.64428 1.02245 1.01350 1.53268 1.23258 0.99160 0.89360 0.97099 1.22517 0.93490 0.97194 1.02957 1.22535 0.98752 0.91712 1.03256 1.22342 0.89431 0.97776 0.96554 0.90455 1.20234 0.81579 0.79407 0.87984 1.90700 1.66582 1.44034 1.37834 1.48086 1.05197 1.59811 1.21082 1.21877 0.95107 0.96122 0.88981 1.22003 0.98372 0.98036 0.99001 1.21213 0.97198 1.00667 0.94255 1.21291 0.95606 0.96072 0.95694 1.22847 0.98460 0.96879 0.98582 1.21134 0.87773 0.90761 0.94674 1.44476 1.28055 1.10320 1.50057 1.18999 1.00657 0.98722 1.17053 0.90611 1.24784 0.98979 0.96308 1.00443 1.69968 1.37650 1.04185 1.45158 0.86220 0.82233 0.76758 0.80665 1.21266 1.21683 1.21237 1.21385 0.95343 0.90917 0.90202 1.21346 0.94343 0.95196 0.88181 0.76521 0.92449 0.87966 0.89575 0.93525 0.90152 0.90452 0.90176 0.89611 0.91579 0.90020 0.91082 0.91067 0.92535 0.90300 0.92457 0.92691 0.93856 0.94338 0.93816 0.96329 0.94309 0.89046 0.92051 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 -0.20 -1.76 19.25 29.55 0.57 -1.20 16 2 C -0.18 -1.88 12.28 -37.12 -0.46 -2.33 16 3 C 0.16 1.59 5.53 -6.61 -0.04 1.55 16 4 N -0.49 -5.56 4.53 -227.43 -1.03 -6.59 16 5 C 0.04 0.35 5.57 -1.90 -0.01 0.34 16 6 C -0.12 -1.05 7.06 -24.87 -0.18 -1.22 16 7 C -0.12 -1.08 4.76 -25.38 -0.12 -1.20 16 8 C 0.05 0.53 2.01 -67.79 -0.14 0.39 16 9 H 0.08 0.63 7.35 -51.93 -0.38 0.25 16 10 C 0.52 7.29 6.94 -10.98 -0.08 7.21 16 11 O -0.52 -9.48 15.90 5.56 0.09 -9.39 16 12 N -0.61 -7.78 2.84 -173.50 -0.49 -8.27 16 13 C 0.10 0.99 5.60 -3.71 -0.02 0.97 16 14 C -0.14 -1.54 5.91 -26.53 -0.16 -1.69 16 15 C -0.10 -1.43 4.67 -27.11 -0.13 -1.55 16 16 C -0.08 -1.43 0.55 -154.35 -0.08 -1.52 16 17 C -0.13 -2.50 5.67 -25.26 -0.14 -2.64 16 18 C 0.18 4.45 5.01 -2.96 -0.01 4.43 16 19 N -0.60 -15.36 3.39 -170.32 -0.58 -15.94 16 20 C -0.23 -6.31 10.28 -15.06 -0.15 -6.47 16 21 H 0.08 2.04 7.83 -52.48 -0.41 1.63 16 22 C -0.01 -0.26 5.49 -17.43 -0.10 -0.35 16 23 N -0.92 -27.33 10.31 55.49 0.57 -26.76 16 24 Si 0.91 22.30 29.55 -169.99 -5.02 17.28 16 25 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 26 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 27 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 28 C 0.15 3.05 6.16 -2.88 -0.02 3.03 16 29 C 0.13 1.97 5.07 -4.36 -0.02 1.95 16 30 H 0.22 1.17 7.80 -54.08 -0.42 0.75 16 31 H 0.06 0.45 7.81 -51.93 -0.41 0.05 16 32 H 0.10 1.13 8.14 -51.93 -0.42 0.71 16 33 H 0.09 0.82 7.90 -51.93 -0.41 0.41 16 34 H 0.05 0.36 8.02 -51.93 -0.42 -0.06 16 35 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 36 H 0.08 0.50 8.14 -51.93 -0.42 0.07 16 37 H 0.08 0.49 7.49 -51.93 -0.39 0.10 16 38 H 0.09 0.89 6.77 -51.93 -0.35 0.54 16 39 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 40 H 0.08 0.61 4.28 -51.93 -0.22 0.38 16 41 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 42 H 0.07 0.88 5.89 -51.93 -0.31 0.58 16 43 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 44 H 0.08 1.43 7.83 -51.93 -0.41 1.03 16 45 H 0.06 1.02 6.09 -51.93 -0.32 0.70 16 46 H 0.05 1.11 7.85 -51.93 -0.41 0.71 16 47 H 0.04 1.16 7.39 -51.93 -0.38 0.78 16 48 H 0.04 1.07 7.50 -51.93 -0.39 0.68 16 49 H 0.25 7.28 8.31 -40.82 -0.34 6.94 16 50 H 0.02 0.40 8.00 -51.93 -0.42 -0.02 16 51 H 0.04 0.77 8.02 -51.93 -0.42 0.35 16 52 H 0.09 1.58 6.83 -51.93 -0.35 1.23 16 53 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 LS Contribution 401.58 15.07 6.05 6.05 Total: -1.00 -33.78 401.58 -10.59 -44.37 By element: Atomic # 1 Polarization: 8.46 SS G_CDS: -8.90 Total: -0.44 kcal Atomic # 6 Polarization: 0.98 SS G_CDS: -1.28 Total: -0.30 kcal Atomic # 7 Polarization: -56.03 SS G_CDS: -1.53 Total: -57.56 kcal Atomic # 8 Polarization: -9.48 SS G_CDS: 0.09 Total: -9.39 kcal Atomic # 14 Polarization: 22.30 SS G_CDS: -5.02 Total: 17.28 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -33.78 -10.59 -44.37 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. ZINC001054147433.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 110.991 kcal (2) G-P(sol) polarization free energy of solvation -33.776 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 77.215 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.592 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.368 kcal (6) G-S(sol) free energy of system = (1) + (5) 66.624 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.20 seconds