Chemistry-
General
Easy
Question
In Fe(CO)5, the Fe – C bond possesses :
-character only
- both
and
characters
- ionic character only
character only
The correct answer is: both
and
characters
Related Questions to study
chemistry-
When degenerate d-orbitals of an iSol. ated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
Crystal field stabilization energy for [
in terms of parameter Dq is – ![left parenthesis capital delta equals 10 D q right parenthesis](data:image/png;base64,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)
When degenerate d-orbitals of an iSol. ated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
Crystal field stabilization energy for [
in terms of parameter Dq is – ![left parenthesis capital delta equals 10 D q right parenthesis](data:image/png;base64,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)
chemistry-General
chemistry-
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
is purple while
is colourless because –
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
is purple while
is colourless because –
chemistry-General
chemistry-
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
For an octahedral complex, which of the following d-electron configuration will give maximum CFSE?
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed
diagrammatically as:
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
For an octahedral complex, which of the following d-electron configuration will give maximum CFSE?
chemistry-General
chemistry-
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed diagrammatically as: ![](data:image/png;base64,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)
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
The d-orbitals, which are stabilised in an octahedral magnetic field, are –
When degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed diagrammatically as: ![](data:image/png;base64,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)
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colour Such transitions are not possible with d0 and d10 configuration.
The d-orbitals, which are stabilised in an octahedral magnetic field, are –
chemistry-General
chemistry-
hen degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed diagrammatically as:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576684/1/1070189/Picture91.png)
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colourSuch transitions are not possible with d0 and d10 configuration.
The CFSE for
complex is 18000 cm–1The
for
will be –
hen degenerate d-orbitals of an iSolated atom/ion come under influence of magnetic field of ligands, the degeneracy is lost The two set
and
are either stabilized or destrabilized depending upon the nature of magnetic fieldIt can be expressed diagrammatically as:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576684/1/1070189/Picture91.png)
Value of CFSE depends upon nature of ligand and a spectrochemical series has been made experimentally, for
is about 4/9 times to
tetrahedral complexes, (CFSE for octahedral complex)This energy lies in visible region and i.e., why electronic transition are responsible for colourSuch transitions are not possible with d0 and d10 configuration.
The CFSE for
complex is 18000 cm–1The
for
will be –
chemistry-General
chemistry-
Double salts are addition compounds which lose their identity in aqueous Solution whereas complexes which are also addition compounds do not lose their identity in aqueous Solution. The coordination compounds show isomerism and find applications in photography, qualitative analysis, metallurgy, water purification and in the treatment of various diseases.
Which of the following statements is incorrect ?
Double salts are addition compounds which lose their identity in aqueous Solution whereas complexes which are also addition compounds do not lose their identity in aqueous Solution. The coordination compounds show isomerism and find applications in photography, qualitative analysis, metallurgy, water purification and in the treatment of various diseases.
Which of the following statements is incorrect ?
chemistry-General
chemistry-
Statement-I : EAN of Fe in ferrocene is 36
Statement-II : 6
e – are co-ordinated by each cyclo pentadien ring with central metal ion.
Statement-I : EAN of Fe in ferrocene is 36
Statement-II : 6
e – are co-ordinated by each cyclo pentadien ring with central metal ion.
chemistry-General
chemistry-
Which of the following ions are optically active?
I) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576566/1/1070077/Picture43.png)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576566/1/1070077/Picture40.png)
III) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576566/1/1070077/Picture37.png)
IV) ![](data:image/png;base64,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)
Which of the following ions are optically active?
I) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576566/1/1070077/Picture43.png)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576566/1/1070077/Picture40.png)
III) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576566/1/1070077/Picture37.png)
IV) ![](data:image/png;base64,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)
chemistry-General
chemistry-
Of the following configurations, the optical isomers are :
I) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576561/1/1070076/Picture4.png)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576561/1/1070076/Picture16.png)
III) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576561/1/1070076/Picture19.png)
IV) ![](data:image/png;base64,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)
Of the following configurations, the optical isomers are :
I) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576561/1/1070076/Picture4.png)
II) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576561/1/1070076/Picture16.png)
III) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/576561/1/1070076/Picture19.png)
IV) ![](data:image/png;base64,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)
chemistry-General
chemistry-
The complexes given below show :
and ![](data:image/png;base64,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)
The complexes given below show :
and ![](data:image/png;base64,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)
chemistry-General
maths-
Suppose that the number of telephone calls coming into a telephone exchange between 10 A.M. and 11A.M., say, X1 is a random variable with poison distribution with parameter 2. Similarly the number of calls arriving between 11 A.M. and 12 noon, say X2 also follows a poison distribution with parameter 6. If X1 and X2 are independent, the probability that more than 5 calls come in between 10 A.M. and 12 noon is
Suppose that the number of telephone calls coming into a telephone exchange between 10 A.M. and 11A.M., say, X1 is a random variable with poison distribution with parameter 2. Similarly the number of calls arriving between 11 A.M. and 12 noon, say X2 also follows a poison distribution with parameter 6. If X1 and X2 are independent, the probability that more than 5 calls come in between 10 A.M. and 12 noon is
maths-General
chemistry-
The van der Waals constant for gases
and
are as follows:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAawAAAB7CAYAAAAohLSPAAAgAElEQVR4nOy9eVxVdf74/7wLl8t2gcsqgoDsLrjgvi9Z5ppLY5o1NdY0NlrTVNM682mqqW9Nu1PZZmOmpZaopallLpkSuAECgiibCAiXfbvLOef3h79zBmQRzUrqPB8PHvXwnuV93tvr/X5tb40kSRIqKioqKirXONpfugAqKioqKipdQRVYKioqKirdAlVgqaioqKh0C1SBpaKioqLSLVAFloqKiopKt0AVWCoqKioq3QJVYKmoqKiodAtUgaWioqKi0i1QBZaKioqKSrdAFVgqKioqKt0C/S9dAJWOkSQJURQRRRGNRoNOp0Oj0fzSxVK5BC3bTc58ptVq0Wq1aDQatQ1/JbRsY0mS0Gg0rdr5t4rc/2WuZn2oAusaRZIkmpqaKC4upqysDJ1Ox6BBg3B2dv5ND4ZrHUmSaGhooKysjHPnzlFbW4skSZjNZsLDw/Hz80OvV4ddd0cQBCwWC+fOnaOsrAyHw4GzszO9evUiPDwcJyenX7qIvxg2m42zZ89SUlJCdHQ0Pj4+6HS6q/JsdeR0kZarKOAnFRp2u52CggK+/fZb0tPT0ev1BAcH06dPH4xG4zVV1l8T8m5IrrsrqTdRFDlw4ACJiYk0NTWh1WrJzs7GarUyefJkli9fTkhIyG+qTX7O/nhxLu+f4l2CIJCTk8OmTZs4deoUer2e5uZmDh06xMiRI1m6dCnDhw/vNguTlu3zY+pLEATq6+tJSUlh9erVZGdn8/LLLzNy5MirVtbuUaPXAI2NjdTW1iIIAj169PhJt/3Z2dm8/fbb7N+/n0WLFjFv3jwiIyPRartmcmxqaqK6uhqNRoPZbMZgMPymJsgrRRRFKioqcDgceHh4YDKZLvsZgiCQlJTEvn37ePnll0lISCAxMZGXXnqJt956i3HjxhEUFPSbUu82NjZSU1ODKIp4e3vj6ur6k3273W6nqqoKu93+k71LEASOHDnCunXrmDVrFvfeey8AM2bM4Msvv8TNzY3Bgwd3C4ElSRL19fVUV1djNBrx8vK6ot2hJEmcP3+ezz//nE8++YSUlBTi4+Ov+k7zsmpU1k06HA4EQWi1mpF1t3q9/qpt/34KJElCEAQqKytJTk5Gp9MxatQoPD09273+0KFDbNiwgYaGBmpra9Hr9axYsQJPT8+rPhBEUaSyspKPP/6YTZs2sXTpUu666y68vb0v+S5RFJVB1NDQQE1NDb169eLuu+8mIiKiwzaR29RutyMIQrvXyLp5vV6vtPOvBUmSKCoq4p133qG2thaLxYLRaGTOnDnMnDnzsp+n0+mYNm0affv2Zdy4cTg5OdG7d2/MZjNnz57F4XAo783NzWXXrl2MGjWK6OhojEbjNT12LpeUlBQ2btxIdXW1MnaeffZZevXq1aWxIwgCjY2N5ObmkpWVxdChQ4mKimr32szMTBITEykuLqa6uhqAv/zlLyQkJFz1OtXpdAwbNoy///3vDBw4EF9fXwRBwMPDA71ej8lkuubbURRF1qxZw7Fjx6irq6O2tpYhQ4bwhz/8AV9f38ua2yRJwm63s3//fmpqaoiLiyMzM7PV7zLl5eV8/vnn9OnTh/j4eDw8PC6rrrossOSJPisri++++479+/fjcDiQJAmdToe/vz/R0dFMnTqV6OjoLhfg50T+hmPHjrF69WpEUWT27NmdroTc3d0pLS1l27ZtNDQ04ObmxgsvvICHh8dVn7hFUeT48ePs2bMHPz8/Zs2ahdlsRqPRtGr0jjqTh4cH1dXVrF27FrvdzuDBg5k3bx7h4eEddgpRFElOTmbVqlVYLJY2qgGNRoOzszMhISFMmDCBCRMmYDAYflVCy8XFBV9fX1566SUcDgc+Pj7069ev1TWy2qQ9WtaVPJkNGzYMAKvVyrlz57BYLMTGxhIREaHUnbOzMxaLhVdffZXJkycza9YsvLy8fjU7L5PJRHl5OZs2baK+vp7o6Gj0ej2iKF6y/0iSRE1NDWvWrCE5OZmhQ4d2ulp3dXWlqamJL774gnPnzmE0GrnlllsQRfEnEVjR0dFER0crC57ExETy8/OZPn06t9566zUtsORFanBwMO+//z6HDh1CEAQcDgcLFy5U5oDO+jy0noc0Gg2DBw9mzJgxJCUlsXv37nb7sU6nQxAEVq1aRd++fVm4cCE9e/bscp/vksASBIGmpiY2bNjAqlWrKC0tZdasWSxatIicnBzWrFnDnj17cHJywtfX95oVWIIgcPToUR5//HEiIyNZtmwZYWFhuLi4dHhPZGQkixYtIjs7m9TU1J+lfKdOnaJfv36sW7eO1NRUrFYrMTEx/OEPf2DQoEEYDIY292o0GkJDQ7nllltISkri5MmTXXqnVqslJiaGiIgIEhMTaWhowN3dnfnz53PnnXdSVVXF+vXr2bBhA4mJiQwbNoxXXnkFs9l8TQ/Ky8FsNrN48WI2bNjA4cOHWw0eeXBbrdZL7kANBkOrxY8kSeTl5fH1119jNBp54IEHCA8PVybrHj16cM8997B3714+/vhjampquPXWW/Hy8vpV1G1ISAgjRoxg9+7dNDQ00K9fP9zc3C45Ocm2kJdffpnDhw/zxz/+kbFjx+Lt7d3hPUFBQdx8882kpKRw7ty5q/0p7SKKIqtXr+aTTz4hNzcXd3d3Ro0aRVRUVKcT/S+N3F9HjBjBnXfeSUpKSiuvPrjQd5ubmxWNQEfPMRqN6PV69Ho9ERERABgMhg77r6enJwsXLiQuLo6PPvqIFStWsHTpUoKDg7ukQu2ywEpMTOSFF16goKCA5cuX8+CDD+Lr60ufPn3w9/fnoYceIiMjg8bGxq488mdHFEUsFgsPPPAAnp6ePP744wQFBV2ykpycnDCbzbi6uv7kZSwvLyc3NxebzYbFYmH06NHcc889vPXWW6xatYqzZ8/yyiuvEBMT0+ZejUaDXq/H09Pzssqq0Wjw8vLiD3/4A6+//joOhwNRFPHz8yM+Ph69Xk9AQAAnT57k8OHDFBcXM2jQIJYvX/6rcN+Vd0UmkwmTydTu95w+fZply5ZRUFDQ4TP69u3La6+9RkhICHChv9XW1rJ9+3YOHDjAkiVLmDZtWqu2cXJyIiAggOnTp1NSUsLHH39MQEAAM2fO/Fn620+NVqulvLycyspKAOLi4i5pT5W1IOvWreOLL77gySefZOrUqbi5uXX6Lr1er9isfi4kSWLu3LlMnjyZr776iocffpjXXnsNZ2dnbr311p+tHFeCvMDy9fVt154qSRILFiwgOzu702ds3ryZmJiYNlqZlv9tiU6nw2w2M3LkSOrr63n11Vfx9fXlrrvu6pJ2oUsCKzc3l82bN1NUVERQUBC333678qHOzs7069ePadOmUVJS0iUvtp8bSZKw2Wy89957FBQUsHLlSsXwfS0hx3VotVqmTZvGsGHD8Pb25v777+f999/nzJkzpKWltSuwfiwuLi7tqml0Oh2RkZGKatJut3PkyBEEQegWRuUfi0ajISoqiu3bt7dZhV58ndyf5JCEr776ivfff58lS5Zwzz33dGgbcHFxUXYH7777LkOGDKF3797dfjFQWVmp2O00Gg3x8fGdCix5N5uXl8cLL7zAkCFDmD179jXrIq7VavHw8MDNzY3Fixdz8uRJ3n//fT799FOuu+46goODf+kiXjEajYZNmzZ1uc9fLs7OzkycOJGDBw/y0UcfMXr0aIYNG3ZJZ6RLzjiCIHD48GH27t2LJEnMnDkTf39/ZbLSarUEBATw1FNP8cQTTyjqKnnyra+vp7GxEZvNpqzenZyc8PLyUoyUstGupqaGhoYGBEFQAvKcnZ0VG4M8oQqCQHNzM3V1dTQ2NiqV6uzsjJOTE42NjZhMJnx9fYELA6G4uJh3332Xvn37MnHixHZ3B7LzQU1NDY2NjYpe9+zZszQ1NbWpG5vNRllZGc3NzQiCgFarxWw2YzQaqampob6+Ho1Gg4eHB15eXuj1eurq6qiursZut6PX6/H19cXd3R2dTofRaFRsYw6HA61W26pDNDQ0UF5efqkma5fq6mrKy8uVetXpdLi5ueHj46NMCO11FHnldLG+uqWzRkNDA3a7HavVqrSxRqPBZDLh7e2NXq/vsBNarVaKiopaCevAwEA0Gg2VlZU0Nzej1Wrx9vbGw8MDgNraWmpqahAEAWdnZ/z9/TEaja0EriAIWK1W6urqaGpqUtR5Op0ODw8Ppe91xRYn7167gtyXDx06xEsvvcSUKVO44447FHuOvBNo+V6dTkdQUBCjR4/mxRdf5ODBgwQHB3d7786ysjIKCwuVcRweHk59fT2VlZVK3JKfn18rTz6Hw8FHH32E1WplyZIl7baR3Fdqa2upr6/HbrcjiiIlJSXU19e3KYfD4aCyslLpM1qtFnd3dzw9PRUHJVEUcXFxwcfHB6PRqHjOyf3Py8sLb29vdDqd4llXU1ODl5cXbm5u6PV63NzckCQJq9VKQ0NDh/Vytcsj150oioo6taGhAavVqtij3Nzc8PDw6LJjz+X0+Za0VIXK83h7yMJ+0qRJ7Ny5k61btxIfH39Jr85OSyRJErW1tWRnZ1NVVYXRaCQqKqqVzUd+uJOTEzqdDq1WiyRJNDY2cuLECb755huOHTumuFrn5eXh7e3NLbfcwtKlS/H19cXhcJCamsqHH37I0aNHcXZ2xuFwcPr0aUJCQhg1ahQvvfQSWq0WQRAoLi5mz5497Nq1i8LCQlxdXamsrMTV1ZWePXty5MgRFi9ezN///nflO3bt2kVTU5OyYmtvC1xXV0dycjIbN27k+PHjygSZl5dHcXFxm/qpqKjgH//4Bzt37qSyshKDwcCjjz5KaGgo69atY8+ePRiNRqZMmcIf//hHAgICWLduHRs3buTcuXMEBARw1113cc899+Dt7Y23tzdDhgxh+/btZGRkUFVVhZeXl+JxExwczODBgztrsg7bce/evfztb3+juLgYSZLw8/Njzpw5LF++nPDw8E7vv1iXHRoaikajoampiR9++EH5/sbGRiorK8nIyEAURaZNm8a9995L//79O+z8RUVFLFq0iFOnTtHU1ITJZOKll16iqamJd999l8zMTEwmE7fddhuLFi2ivr6eTz75hM2bN1NdXU1kZCSPPfYYN910Ey4uLkq7VlZWsnv3bnbs2EFeXh7u7u7U1tbS2NjIhAkTmDNnDgMGDFDa+GohT5wrV67E4XAwcOBAMjMzEUWRjRs3Eh0dzV/+8pdWZYUL42jo0KEEBQWxdetWZsyYcc173F6K8vJyioqKABg4cCDl5eVs376dVatWUV5eTnR0NI8++iizZ8/GYDAgSRLV1dUkJibi6+vL4MGD2x2nNpuNkydPsmHDBvbv348kSbi5uVFcXEx+fn6bctTV1fHhhx/y7rvvUlxcjF6vZ+HChUydOpXt27ezdetWrFYrAwYMUDwLN2/ezMcff0x2djYuLi7MnTuXRx99lF69eiEIAl9++SVvv/029957L7NmzcLhcJCXl4deryc0NJSAgIAO6+Vql0euI6vVSkZGBl9++SUHDhxQFoAlJSX07duX6dOnM3nyZIKCgn4SpylJknA4HNTW1mK1WqmsrMRisSAIQoe75P79+xMSEsKWLVu499572yw8L0b31FNPPdVZASwWC9u2bePo0aMYDAaWLFlCTExMmwlINuTJlZefn8+SJUvYtm0bRqORf/3rX0yfPp3i4mJSUlJISUnhuuuuo2fPntTX1/OXv/xFcXd85ZVXmD59OuXl5Rw9ehQ3NzcWLFiAJEkUFBTw5ptv8tprrwHw4IMP8sADDxAQEMBbb71FRkYGLi4uTJ8+XZncRVHk5ZdfJjs7m2effRY/P792V21bt27lkUce4dChQyQkJPDqq68yf/587HY7aWlpNDc3YzAYWLZsGe7u7hiNRkJDQ8nNzVWEislkIi8vD1dXV6xWKyUlJZw5c0aJiC8uLsbZ2VnxHDt+/DhDhgwhKioKjUaDr68vTU1NyqR//vx5Pv30U1xcXLjpppu48cYbcXZ2bre95Mly+/btlJSU0KNHD6ZPn46fnx9BQUEcOnSIU6dOERQUxG233caSJUsIDw9XVH1vvvkmDQ0NODk5kZCQwIgRI6irq2Pv3r1s27ZNERBPPPEEgYGBlJaWsmLFCjZs2MDo0aN5/PHHmTdvHmVlZRw4cIDs7Gzq6+uZMGFCh44tch0eOXKE4uJivLy8lMHv7e2NxWLBYrFw+vRpzp8/T0FBAVVVVUrcx/nz5zl69CgzZszAbDYri6xPP/2U5557jtTUVP70pz/xzDPPEBsby7fffstXX31FVlYW0dHRBAcHKwuhTz75hPz8fFxcXBgzZswVBTzKgmnVqlVUVlayc+dONm/ezOeff05OTg7XX389Q4YMaXfXqdfr2blzJ5mZmcyfPx9PT89u640pCAIHDhzg008/xeFwEBkZSV5eHiUlJfj6+lJUVKRoLkaOHIm3tzeSJHHgwAHWr1/PjBkzmD59epvFpSRJHDt2jAcffJDExETMZjOvv/46S5YswcvLi/T0dKqqqtDr9cyfP5+oqCiMRiO9e/emrKyMQ4cOARe8f+VFqF6vp6CggKKiIgoLC7FYLOTk5GA0GikpKaGqqors7Gw8PT0ZPXo0cGGxmpmZSX5+Pk1NTRw/fpwvv/ySESNGXDKUxGAwXNXyyPXzww8/8Oyzz/LZZ58REBDA22+/zc0334zFYmHTpk3s2bMHV1dXJQGBHFrx+eef43A4iImJ4cYbb+zQltsZkiRRWFjI9u3b+eqrrzhx4gRWqxWtVktzczN+fn7tOtzo9XqOHj3K0aNHGTVqVKcezdCFHZbNZmu1ze5KNLSsFgkNDSUwMJApU6YwbNgwHA4H48aNY//+/VRUVJCfn8+QIUNobGxU3OR9fX0JDw/HaDTy4IMP0q9fP0UdWFNTw+eff866deuwWq0sWrSI66+/HmdnZ0VfLElSK09F2T02Ozsbh8PRboXIK7v33ntPETayO7goiowbN44dO3ZQVVXV6j4nJyfCw8OJi4tj69atymT51FNPMXDgQFatWsXDDz9MU1MTWVlZTJo0ifvvv5+6ujp+97vfceLECZqamkhKSmLq1KmKamjp0qUkJCRw4sQJMjIyGDlyJP369WPkyJGdejR21BZ5eXls27aNY8eOERgYyLJly1i8eHErlWlLrFYrSUlJvP7669TU1JCSkoLD4WDGjBnMnz+f/v37o9Vq8fT0ZOrUqURERDBz5kyCg4MRBIE5c+bwwQcf0NTURG5uLmVlZR16eDk7OxMdHU1MTAypqalYLBZcXV158MEH8ff357HHHmP16tWUlZWRkZHBI488wsSJE0lOTmbZsmUUFRVRWVlJeno6kZGRiKLI4cOHWb16Nfn5+cTHx7Nw4UJcXV0ZMGAAc+bMIT09naSkJHbt2kX//v0xm82XVaedIatCly5dqqhDWhqhx44d2+4OHy4sdoKDgzly5Aj5+fmKA0d3Q05PVVhYSF1dHVqtlqKiIkaOHMmSJUsQRZGbb76Z48ePU1xczJkzZwgNDUWr1ZKWlobNZiMyMrLdiUuSJP773/+SkpKCVqtl4sSJyk5s/PjxbNmyhTNnzrS6Rx5X/fv3B/4XIL58+XJuuOEGjh49yuzZs6mpqSErK4shQ4bw5JNP4ubmxvLly/nyyy+VOepvf/ubErrg4uJCWloaBQUFCILAfffdx5gxYxQnhI642uUBqKqqYt26dYrp5s477yQsLAyNRsO8efPYvXs3qampfP7550qdXU1EUaSqqopTp04RFhbGn//8Z0VWnDp1ioSEBPz9/dvUi06nIyoqCoPBQGZmJpMmTer0PZdUUnYW/yMIAgcPHmTbtm2KvtJgMDB16lRiYmJ4/PHHEQSBwMBA7HY7drsdZ2dnnJ2dkSSJkpIS5Z6wsDAyMzM5duwYa9euZcqUKfTu3VvxRpMl+EcffURVVRWjRo1i2LBhuLq6IgiCkrNNq9Xi6+urBBhKkkR5eTkOh6NDQ7YoimRkZJCfn69sXwcMGKCsbl1dXTt0Jb/YO2bs2LHKDnTcuHHKoAsICCAhIQEfHx+lfFlZWYii2MoupdFoCAwMZMaMGUybNq1VUs3LzY5QVlbGO++8Q319Pd999x0ADz30EIsXL1acKC5uY7igXzYajZhMJsxmMxEREYrXYFhYmLKT9vLyYu7cuQiCgEajUeyUcp3KfaQz19iW9Si/+4YbbiAsLEwJ6l6zZg2SJBEUFMTgwYPx8vJi+PDheHh4KLY02RNNjmU7deoUkiQpYQBarRYXFxfCwsKAC/bHY8eOUVpa2qm79OWi1WqZP39+q8S3Lb+zM7uZRqOhR48eODk5/Wyu2T8FoihSXV1NYWEhcGEVPWLECH7/+98TGBhIbW2tEqgv211kiouLlRih9tSBpaWl/PDDD9hsNtzd3Rk6dKjSH11cXNodp9A2ZmjAgAEMHToUg8FAdHQ0oaGhpKWl4eHhQXx8PCEhIej1eoYOHcrOnTtpampSxqlGo8Hd3Z3hw4czZMiQNgmOu2oXvVrlEUWR/Px8srOzaWpqwsXFhYEDB7Yap6GhoRw/fpycnByysrLo169fh3V1JWi1Wvr3709cXFwbmXGx9u3iepB9IuT+0hmXneni4v93cXEhJyeHL774AofDwaBBgxg5ciQmk4nBgwdTUlLCsWPHFIFw9OhRLBYLABaLBVEUcXNz44EHHuC5554jJyeH//f//h/bt29n2rRpzJw5k8DAQBwOB0eOHCE7Oxu9Xs+gQYMUNZooiqSlpSFJkrKSbjkJyRNmRwFqoihSVlaGzWa7UCl6PYGBgW0q9lJotVqcnZ0VW56Pj4/SefV6fauA24sTQraXNeTH4uzsTFRUFIcOHaKurg4PDw/CwsIuGUPl7OzMkCFD+NOf/tSp16fcGRsaGkhPT+fo0aPk5eVx4sSJLgWHtocsLGXhbDablc4u16FOp1OcWKB13cl2Ujm8oqXTh+xoIpervLyc+vr6Tj2hLheNRvOjvNpkh5azZ89e07E8nSGbEnJzc4ELbTBz5sxWYSSyE5OLiwvu7u7Kd9tsNiRJwt/fv80kJ0kSlZWVNDQ0IEkSer0ef3//yy6f7NItj1O9Xq8s4PR6Pc7Ozsq7W46ViydinU53VWyMP7Y8oihSUFBAaWmp8jz5frk/yuPYZrNx/vx57Hb7VRVYP6Y+5Dk8Pz//kn2+U4Ele5e0VB2VlJRgtVqVyTcqKooJEybw1Vdf4XA4GDVqFAMGDECSJDZs2MCKFSuw2+0MGzaMiRMn4u/v38rrTqPRYDAYmDNnDuHh4Wzbto0vvviC/fv3k5qaymeffcZzzz1HVFQUGRkZisovJiYGV1dXxdC3Z88eJEnCw8NDcY+UaZnUtCOsVqsycYmiSHNzc4fpmroLJpOJcePGMWrUKDIzMyktLeWtt94iPj6eiIiIH+WWLooijY2N7Nu3jw8//JCSkhImT57M+PHjiY2NZf/+/VfxS7qO1Wqlubm51b9dKlr/WvTEs1qtv3QRrhh5AZiRkQFcMKxHRkbi5OSkCB15B+zj46Pk5mxv4dAyaa7sgddynNrt9p/vw65hmpqalD7THRc6Go2mzbhtj06XwLJLdo8ePRQpmJeXpzxYjnTu1auXsmqV4xIOHDjAE088QWpqKoMHD+bvf/87U6dOJTIyss2qXX7P6NGjeeyxx1i7di0333wztbW1fP/99zz++OM0Nzcrjg1ubm54eXkBFzrtd999R2pqqrJb69u3r6JGbNnhZbVhe8irGFkAyu64Lf8u5sd2jEulPvmxyKu1wYMHK7aD48eP85///KfTuugKoiiSmZnJ008/zdatW4mIiOCWW25hypQp9OnT5xdzFvDw8GiVe7GxsbHNd7bUDlxrsWRy2a5k53CtYLVaOXPmjLLLjY2NVXZMoihy6NAhGhoaFFOAbGtpibyLaom8uJXHqSAIildgZ+P0145Go8HPz0+ZEwFqamrarQtZdXotOvP06NHjktdcUmC5ubkxcOBAxSa0e/duqqqqWtkoLu5ckiSxefNmysvLMRgMzJ49G7PZjF6vp7y8nNraWuVaOe1Nc3MzNpsNV1dX4uPjeeyxxxg4cCCSJHHw4EFFkMAFjxqTyYTD4cBisfDcc88pDWQ0GgkPD0cQBEW9ILsQy2rDNpWg1eLv76+41lqtVnJycpREvxeXuSVXOkh+zoHl7OzMnXfeSXh4OE1NTWzdupUNGzYo8SxXQkNDAwcOHCAjIwOHw0F0dLSyUpbb4qecRDp6ppubG2FhYZhMJiRJIisrS+kHssstoASyymW+Fmi5wLqc/GrXGs3NzeTn5yt9KygoSGkP2RtTkiQiIyO54YYbFJWtvHDVarXk5OS0K7Baxg3KbtyyndRisbQbhwXX3q7japZHq9USFBSkBKYLgsCpU6eU99hsNkWj5e/vT79+/S7beeunomWfl8NlOuOSI1Wj0TBw4ECmTp2qeMXs2LGDmpoarFYrFouF9PT0VjsZQNlFCYJAcnIyVVVVJCcn880331BXVwegZH3fs2cPYWFhzJ07l+LiYkUwybac2NhYJeu1VqslPz+fffv2sW/fPh5//PFWgcw2m420tDT+/e9/s3HjRmw2G7169cLDwwONRkNFRUWbSVqj0RAdHY2/vz86nY7m5mZee+01kpKSOHjwIOvWrVMMgrKAlif7pqYmZRKUhZ0cPFtfX68YlO12uxLPZLPZlHLI98jBjz8GWZUp2+Jqamqoq6tTBvr999+v2EfWrFnDvn37FBVLfX29ksxYVvfJE31HtJzoU1JSSE9P59ChQ6xcuVKZVBoaGjh//nyb7P4tyywHS7b8hpZ1KNdTy+Dk8vJy5Ttb5vrTaDRMmjSJ0aNH4+zszOHDh8nNzaW5uZmqqirS09PRarWEhoYyZswYfHx8lMyZvvMAACAASURBVDZobm5WJlW5TX7OiU4QBFJTU7HZbAQFBXVbgdXQ0MCJEycUJyh3d3e0Wi2NjY1s2bKFgwcPYjabmTlzJqNGjWp1b58+fdDr9VRWVrbJ3ajRaAgICFAyZtjtdhITE9myZQupqal89NFHyqK0Zd+Rs77LXr7yJC6fUNDc3Nyq7eX+JwgCFRUVSjnk8X41xunVLI8kScTFxTFu3Dh8fHzQaDTs2LFDCR4uLCzk5MmTuLq6MmPGDCIjIxWNWcvxJQu2q2nT7UpdyCFDXRFYncZhybi5uREVFUVtbS3nz59n//79GAwGmpqa2L59Ozt27FAiwEeOHMnIkSMxm80kJydTXl5Oamoq+fn5JCYmUllZidVqpbGxkYCAAAYOHEhDQwO7du2ipKREMTZv2rSJo0eP4uPjw/LlyxkyZAg6nU5JYZ+cnMyBAweIjY1lyZIlHDt2DIvFQnV1Nbt378bd3Z0ZM2Yo7u6nTp0iLS2NsWPHKt6CLSvH1dUVDw8PcnJyqK2tpaSkhMTERI4fP05CQgI2m00RWqIo0r9/f5ycnEhKSlLcruF/At7Z2ZlXXnmF5ORkRbiZzWYiIyM5fvw477//PpWVlYoePj4+np49e/4oI67FYmHVqlV89dVXSmd0c3NTXHAPHjzI7t27EQSB0tJSCgoKiIiIwGAwsHLlSvbt26cI1JqaGmJiYujVq1e73olarRar1crx48epqanh1KlTbNq0ieTkZG644QbKy8uVk1hNJhMxMTHtZrivq6vjyy+/ZP369Up2ADc3N/r160djYyP//Oc/OXPmDJJ0ITtHSEgIfn5+Sr+rr69HkiQMBgPx8fH4+vri5+eHp6cnZWVlNDQ0KKEKycnJJCYmEhAQwN13383cuXNxc3PD4XCwZcsW3nrrLRwOh7IaHTBgAH5+fj9b8G5hYSGbNm3Cw8ODpUuX4urqes3s/i6H0tJS3nnnHURRVNRUcrzNa6+9hp+fHwsWLOChhx7CZDK1+katVstnn32mnKTQXraPsLAw0tPTqampwWKxsGPHDvbv3098fDyCICj9pbKykqFDh+Lh4UFmZiYfffSRsvOw2+3ExsbSq1cvPvnkE1avXq0sVOR0cxaLhddee01xBpCDgsPCwjqMhewKNpuNEydOXNXyyJqluro6LBYLJ0+exMPDg/LycjZs2MC5c+eYOnUqS5cuJTIyEoCSkhKeeuoppb5sNhsBAQHExsb+bDuwxsZG1q9fT15eHn/9618JCAjotM93SYGv1WqVjAIjRowgOTmZo0ePcuzYMQwGA/PmzaNXr16cOHGCQYMGYTQaGTFiBE8//bRytADA/PnziYiIYN++fZw5cwYnJyfS0tIYNWqUkly0vLyczZs3I4ois2bNYuLEiYwfPx6DwcCYMWN4/PHHOXjwIFqtltGjRzN9+nTMZjPPPfcca9euRRRFJk6cyMSJE5WTXeVV99q1a9mxYwcTJkxoNQnJbpdz5szBx8eHzZs3U1FRQWBgIFOnTlVcSuU4AjlocNiwYRQXF9OnTx9l1aLT6Th16hSurq5UVFQwe/ZsZbKtra1VBPjw4cMZNGiQ4sWTkpKiBCVeKU1NTZSUlDB79mzFS69leqPGxkZuuukmZSei0Wg4e/assnKT3ejlNs/IyGD48OHtDk7Zxfb555/niy++oKSkBH9/f2bPns2wYcOorq4mIiICSbqQ9aSoqKjd3GrNzc2cO3eOCRMmKOmoGhoaKCkpoaGhAX9/f2666SblnSUlJRQWFlJcXMy4ceOU3biHhwdZWVnExsai1Wq57rrrCAoK4vvvv+fYsWN89tlnGAwG5s6dy4QJExgwYICiKtZoNOzfv5/Zs2crzzMajeTl5REfH/+j2qSryOrL8vJyZsyY0SYTRnfCzc2NyZMn4+/vj4+PDydOnCAxMRGj0ciiRYsYMWKE4sJ98TdGR0cTGxvL0aNHKSwspE+fPq1+l13A3377bVavXk1BQQEmk4nrr7+ehISEVgdvOjk58e233xIaGkpJSQmenp7MnTtXGe+ZmZlMnjyZpKQkZczIKrXi4mJqa2uJjIwkICAASZJwcnLi5MmTjB079ooO95SRF4xXuzw9evTgiSeeYNy4cRw+fJjvv/9e8Rj85z//ydixYxUtkiAIZGZmthlftbW1VFdXX9VQj84oKCjgzJkzSsaLS/V5jXQZOg9563gpNZH80pbXt4xVavlvF7utting/9+YMvJ2WFY3tLy/ZaBmy/vkjBF33XUXBQUFbNiwgZiYmDaSXFYlXFw+efssl6/lsy+201z83vZiEjp63o/1WJN3che/U352e+138W8tuTiX4cXI9XVxvV/8vJZu+u3F1lxcro7qsL3+0lEddmZDuzgupLMy/BxehJJ0IS3YM888w9atW3n33XcZM2ZMh7Er1zqd2UZb9pH2+oLD4WD9+vU8/PDDLFu2jEcffbTdQP+WbQbt9+OL546L+3hHfb+zcXpx37kS2iv/1SiP/O8dxQC2/GuvDFfr+7qKw+Hg7bff5rXXXuPJJ59k0aJFl8yfeVkuUpernvgpVCmdeXV1FpAp23CWLVvG2rVreeSRR3B1dW2z0+qozFcaU3Qlv10pl4rf6qw9rqQ8cn2199yuPq+zOr/ScsnP7eqgu1QZfmrkZLkpKSlMnz6d2NjYbp1D8ErjCOV2mDp1Kjt27GD79u3Mnj2bmJiYVrFtFy9IL353Z+W6nH+/1G9XSmfl/zHlkft7V5PbdlaGnxqHw8HJkyfZu3cvAwcOZMyYMR1mgGlJl2xY3R25YQIDAxEEgS1btmA0GomJiflRumgVlatBVlYWK1aswMvLi6VLlxIaGtqtBdaPQaPRKLn2fvjhB9LT04mNjcXPz++XLprKVeTcuXN88MEHlJSUsHTpUvr379+lQObfhMCC/63eoqKicHZ2ZseOHVgsFsLCwq56xm4Vla5gtVrZt28fK1euxM3NjaVLl9K3b98urTR/7ZjNZqKiojh69CjJycn4+fm1cmlX6Z44HA7S0tJ48803KSkpYcmSJYwaNeqSx4rIXJYN69eAJF1IzGmxWHB2dsZsNqsThMovgiAI1NXVUVtb26ovqlzAbrdjsViw2+14eXm1UeGrdD9kl/7q6mrFVHM5h/7+5gQW/M/I3pHxV0Xl5+BihxC1L7bm4nEKXcvpqXJt09IZ6nIdPH6TAktFRUVFpfvR/aISVVRUVFR+k1xbmT9VVFRUrhKyShHotjFtKq1Rd1gqKiq/SuRTcLdt26bknVTp3lzTOyw5+ePhw4fZu3cv/fv3Z9q0aepKSUWlmyKKIhaLhTVr1tCzZ0/mzZvXJhmAKIrYbDaysrI4fPgw1dXVuLq6EhcXx8CBA/H09FS8BUVRpKSkhO3btysHGLZ8TmVlJampqUyZMqXDMsl59IqLi8nLy6OwsJDq6moEQcDPz49+/foRHx+vHLAoIyemPXz4MGlpaVitVtzd3enTpw/x8fF4enpecq6Scx7Kh9za7Xbl8Nu4uLhWR4HI5czLy+P06dOUlpZSXV0NgJeXF4MHDyY6OrrVPWVlZbz//vudJrQ1mUzccMMNxMTEXPNz6zUvsM6fP88LL7zAt99+y6233srUqVNV11YVlW6Kw+Fg7dq1PP/884wZM4aZM2e2K7AOHDjAm2++SUhICNHR0eTk5PDll18yefJk7rzzTnx8fJRrz549y7vvvsuxY8favE+SJAYOHNhhuIC8KE5KSuKll17C2dmZ4cOH4+fnx9mzZ3nnnXcwGo3cf//9ymJZntQbGxvZuHEjn332GQkJCfTu3VvJGn/rrbdyxx13dBpfJEkStbW1rFmzhq+//poRI0YQEhLC119/zaZNm1i4cCELFy5UAmpFUWTt2rVs2rSJuro6pk+fTmBgICdPnmTjxo34+Phw3333MXbsWFxdXYELCW6feeYZJUdme0RHRzNhwoQ2J25ci1yzAkvWP3/11VekpaUhCEKHR1SoqKhc28h5ArOysnjrrbdobm5ud9UvCAIlJSX84x//ICQkhOXLlxMQEKBkFl+5ciVxcXFMmTJFOcFYdo+++eabmT9/fhsB6O3t3WkKIlnoHT16lCVLlnD77bdjMpmor6/HxcWF559/nhdeeIGEhATl2BdJkjhw4ADvv/8+N9xwA3feeSd+fn4MGDCA3Nxc1q5dS2RkJJMmTepQWNrtdnbu3Mn69eu56aabWLx4MWazmT59+nD//ffz3//+l+joaEaOHKncc+TIEb7//nuef/55brrpJry9vSkvL0cURdasWcOaNWvo16+fcho7QHBwMLfeeiuDBw9u9c2iKPLQQw8xfPhwJXn3tc41a8OSJIm8vDxWr17N4sWLlXOoVFRUuh+SJFFVVcVTTz3F5MmTO7zG4XCwbt06cnNzue666+jduzcmk4moqCiGDx9OU1MT27ZtU86LknFyciI2Npbp06cze/bsVn/jxo27ZM48jUZDcHAwU6ZMISAgABcXF3x8fLj++usxGAzk5eVRXFysCMi6ujo2b95MTk4ON954IyEhIbi4uNC7d2/Gjx/PqVOn2LNnj3L2X3sUFRWxbds2nJycGD9+PP7+/jg7O9OnTx/Gjx9Peno6u3fvblNHUVFRLFy4kMDAQJydnQkICGDcuHH06NGDU6dOKadsOxwO8vLyiI2NZdmyZUp9zJo1i5kzZyqHat5yyy0YjUZVYP0YbDYbGzZsYMSIEdx1111IkkR2dvYvXSwVFZXLRNaW7Nixg4yMDO644w7llOGLr5Oztev1euLi4pTftFotcXFx+Pn5sXPnTuXgwh+LRqNBr9czZ84ctm3bxtChQ1uVR94d6XQ6ZVIXRZHc3Fzy8vIIDw/H29tb+RZXV1clvdbJkyc5d+5ch+/Oy8vj+PHjBAcH4+vrq3gyGgwGBg0aRF1dHRkZGZw/f17ZRT733HNs374dd3f3Vs9yc3NrdYaV/F033ngja9asUc4lk7/LZrPx4osv0qtXL0aNGtUthBVcowJLkiSSk5P57rvvmDdvHmazWTkXRkVFpXshiiI5OTmsWLGChx9+mICAgA7t0Dk5OZSVleHk5MSAAQNaTaQ9e/bEZDJRWVnJ+fPnW6kU5Z2PbDoQBKHdYzbaQ6vV4uLigq+vr5ImSBRFHA6Hcpp6XFwcUVFRym9nzpyhtLSU/v374+bmpjxLo9FgNpsJCQnBYrEop5G3x9mzZzl16hShoaGK0JMFVnR0NKIoKudTyfYlLy8vfH19W9WfKIrk5eVx/vx5goODlYTeGo0Go9GIt7d3K7WkJEns27ePrKwsHnrooW6zu4Jr0IYle/Zs27aN8ePHExkZ2cpLxm63t3sCroqKyrVJTU0NK1asoF+/ftx00000Nze3e50kSdTU1CAIQrsCreX5Zfn5+cTGxiq/iaJIdXU1OTk52O124MKhnj169GhzqnFnyLuPiooK0tLSeOedd+jTpw9vvPGGclaTKIrU1dUpJ1NfXEb5r6ysjKqqqnbfIQgCjY2NSl20N59ptVpqamqoqKggIiKiwzKXlZWxf/9+tFott956a6eZ7SVJorm5mQ0bNuDv78/111/frebTa05g2Ww2vv/+exobG1mwYAGenp44HA40Gg02m42ysjJCQ0N/6WKqqKhcAnmBuWPHDk6ePMmTTz6Ju7t7pzFRhYWFHWpSPDw8lN1Dy0MHjUYjZrOZU6dO8d5773Hu3DkqKiowGAxMnz6duXPnEhoa2iWhVVpaSlJSEnv37mXbtm2MHDmShx56iIiICGVilySJ0tLSdoURXDit2mQyUVFR0eEOr6GhgdLS0ja5JGWcnJwUT8iODs2VE8l+/fXXHD58mEWLFjF27NhOj0ySPSKTk5NZunTpFZ9d9ktxzQms4uJi9u7dS3x8PFFRUeh0OhwOB05OToiiSH19fbdwv1RR+a0jH8O+efNmxowZQ3x8fKcHsAJtnCla4unp2WYy1ul0hISEKHbu0aNH4+npyenTp/nPf/7Ds88+S25uLs888wxms/mSk3NhYSHff/89zc3N9OnTh5KSEj766CP+9Kc/0bt3b2XnZ7PZlJ1cS1qq4TpDEIR275dxcnLCz8+v03muqamJvXv3snXrVsaOHcvNN9+Mj49Pp/fU1NTw2WefYTKZuO6667qVsIJrSGBJkkRTUxMHDx4kJSUFURRZvXo1Go2G5uZmpaN0tNpQUVG5tqiurmbLli00NjYyfvx4nJycaG5uViZ7u91OdXU1Bw4cwGw2079/f7y8vDqccKuqqrBarYqdB/5nM7rpppuUhaxGoyE2NpZHH32U7du38/XXXzN37lwmTpx4yQl66NChJCQkUF9fT05ODm+99RYffPABdXV1PP300wQEBADg7u7eyslBRla5VVZW4uTk1KGtzmAwtLJ9yffK32632ykrK8Pb27uNg4q8c83KyuKdd97BbDbz5z//uZX5pD0kSSItLY3Dhw8zc+ZMgoODVYF1pQiCQEFBASkpKQwbNoz+/fsrhkKj0UhwcDA2m011bVdR6SZkZ2eza9cuqquree+991i7di1w4eDKpqYm0tPTefDBB8nMzGTp0qXEx8cTEBCAXq9XJv6Wk3p9fb0isEJCQtocOdJyUtdqtQQEBBAeHk5OTg5paWmMGzfukjs82VNPzjbx0EMP8d1337FlyxamT5/OjBkz0Gq1+Pj4YDKZsNlsbeLJmpubqaurU665GI1Gg4uLC2azGbggnC5Wg9rtdiorK3Fzc2vlhQgX5spTp07x+uuvA3D33XcTGxvb6c5KkiQaGxvZtWsXtbW1TJw4sVVGjO7CNSOw6uvr+fbbbxEEgQceeKCV9LfZbKxfv57Tp09TXl6u7rBUVLoBYWFhPPHEE0pcEPwvu8PmzZvx9/dn5syZzJkzh4SEBPR6PT179kSn0yEIAmfPnlUmdbgwR9hsNoKDgxV1mSAI2Gw2dDqdssBt6fhgMBgQBIH6+voumxFaZrMIDw8nLi6OpKQkysrKlN/9/f0xmUwUFRVhtVqVe2VNUV1dHX379lXsUBej0+kwm834+PhgsVhoaGhQvlUQBCorK9FoNHh7e+Pv76+URxAEampqeP311zlz5gwvvvgigwcPRqvV4nA4EAQBvV7fZmcnCAKpqan88MMPjBw5spV6sztxTQgsURQ5ffo0GzZsYNGiRW0MpPKqR5IkrFarKrBUVLoBQUFBBAUFtRqvDoeD8+fP4+LiQs+ePZk1a5aSvkiSJAICAoiOjiY9PZ309HTi4+OVe0tLS6mrq2PSpEmKK3ZFRQVvvvkmNpuNhx56qJWAkwN8jUYjERERV2T31mg0imOCrALUarWEhobi6+vLwYMHqa+vb/N91dXVREREdOqxFxQURGRkJKdPn6aiooLg4GAlFq2goABPT0/69OmDyWRS6sfhcLB69Wq++eYbVqxYwdChQxVBXV5ezjPPPMNf//pXIiMjW72rqamJ3bt3k5+fz7333tuqnroTv/h+UF79bNmyBavVyoABA1oJKznoUDZSNjQ0dJrIUUVF5dpA3qnIE778J0++siCT/012WFiyZAkOh4MvvvgCu92OzWajrq6Offv2UVdXx5w5c3BxcUGj0eBwOCguLmbPnj0kJSUpKjqr1UpWVhYnT54kODiY0aNHo9FoOHfuHEuXLiUmJobNmzdjt9tpamrihRdeYN68eZw8ebJVLFdRURHHjx/Hz8+PoUOHKt8TFRWl5Cjcu3cv9fX1OBwOqqqq2LNnDxEREUyZMgWTyYQoimzYsIHBgwczcuRIbDYbkiQRGxvL8OHDycrKIjU1laamJgRBULJoxMTEcOONN7YK60lLS+ONN95g0aJFDBgwgLq6OqqqqqisrGTnzp3s2bOHxsbGVu0gSRK5ubkcPHiQoUOH0r9/f8UG2N24JgRWUlIS//nPf5QO3XJFJooiJ06c4NChQzQ0NHD8+HE1gFhFpZsiiiL5+fkAVFRUkJmZ2cpF3cnJifnz57NgwQIOHz7M22+/TXFxMV999RU//PADixcvVuzbspDT6XRkZ2fz7rvvkpKSQn19Pfv37+eRRx7Bzc2NRx99lF69eilqs7KyMvLy8qitrUUQBBwOB9XV1XzzzTf84x//ICcnR8nC/sgjj9DY2Mgzzzyj7NJkVePdd9/NuHHjeOONN/jmm28Us8Y333zD5MmTGTFihGKPq6mpoaioiHPnzikCy8fHh7vvvpsRI0bw6quvkpSURENDA//97385efIkixcvpm/fvq3q7oMPPqC8vJwXX3yR8PBwevToQWBgIIGBgdx9992cOXOmzYLebrdz6NAhDhw4wOjRowkPD+92tisZ3VNPPfXUL1mA7777jpdeegkPDw90Oh12u51+/fopxtbc3FwefvhhTCYTPj4+2Gw2PD09WwUNqqiodA+OHDnC008/rYz3uro6oqKiWrmBazQaJkyYgIuLC3v37uXTTz+lvLycO+64gwULFrRyT3dxcSEhIYGIiAiqq6v54osvWLt2LRkZGYwaNYqXX36ZQYMGKZ52zc3NZGZmYrPZuPHGG4mKilJsZ8HBwVgsFj777DPWrFnDsWPHiI+P55VXXmHkyJFtjhfx8PBgxIgRuLq6smbNGtavX09tbS3Lly9nwYIFuLu7KwKuqKiI06dPExAQwO23367EdPn6+jJo0CCampr47LPPFMeUJ554glmzZrV6Z0lJCYmJiRgMBgICAhRBdfHfLbfc0sp21tjYSGpqKm5ubixYsICePXt227AgjfQLG4QudlNvafCUf2/53/auUVFR6R5carxfrWs7u16+tuXv7c0z8jNa/vdKy9nRc9t7d2fv7Io5pKP3X/zN3ZFfXGBBW2HU2e8dXaOiotI9uNR4vxrXXur6jpIPXOlccznl/DHP6Mp03dm93X3uvCYEloqKioqKyqXonpY3FRUVFZXfHKrAUlFRUVHpFqgCS0VFRUWlW6AKLBUVFRWVboEqsFRUVFRUugWqwFJRUVFR6RZcVvJbURTbDVxrGeh2qcC0lkFyXQkEvNjrXo76/jHvaPns9rz66+vrqaqqIjw8vMN3dFbOrtSDiorKz8vFY/VKxml7413OhdjV6y/13qtRzl8rXRJY8lkqKSkpFBQUKP8uV6BWq8XLy4vQ0FDCwsLw8PBo9znykc6nT5/G4XAQFxeHq6trm3fZbDbKysooLCykrKyMxsZGNBqNksk5ODi4w9T4giBQXV1Nbm4ubm5uxMTEKNmMW15z7tw5Dh482OpoAPmbcnNzKS0tZeXKlZ3m3Gr5rsLCQqxWq5IZOioqCldX126bs0tF5deGxWIhIyOD0tJSbDYbPXv2JCYmhsDAwC4dtSGfeJ6RkUFBQQEOhwM/Pz/i4uLo2bNnK8Eln+d19uxZzp07R0lJCXa7HaPRSK9evYiOjsbT07PN/CCKIuXl5WRmZnL27FkMBgOBgYHExMTg7+//m59PuiywrFYrKSkpvPrqq5SXlzNhwgR69+4NXMhVJR82tnDhQqZMmYKbm5vSeKIo0tzczOnTp/nuu+/YuXMn4eHhPPLII20EVkNDA/v372fnzp1UVFTg4uKCXq+ntLSUs2fPMn78eJYsWUJcXFyrziELuuTkZPbu3cvevXu57rrr+Otf/9pGYImiSGpqKn/84x9pbm5WMjDLGAwGbrvttg6jyuUM8kVFRWzYsIGsrCwMBgM6nY7a2lrsdjvXX389CxYsUIWWisovjCiKVFZWsnHjRvbu3Yu7uztWq5WqqipiY2NZtmwZvXr16lRoyUeVbNmyhe3bt+Ps7Kwcb9K7d2+WLl1KdHS08oyKigq++eYb9uzZo+QDbGpqoqysDKvVyuzZs/nd736nnGAsl7O8vJyVK1eSmpqqZHqvra1lyJAh3H777d3ylOCrSZcEllarxdvbm8WLF/P111+TlJTE/fffz/jx45VJeufOnbz66qusXLmSsLAw+vfvj16vRxAECgsL2blzJ8nJyaSnp5Obm4ufn1+7AqG6upqtW7eyf/9+7r33XmbMmIGfnx8FBQU888wzrFmzBmdnZx577DHc3d2B/2V037ZtG8ePHyc9PZ2SkhLGjx/f6XeZzWbGjRvHwIEDlZNIZeEVFxfXYceQV1pvvfUWu3fv5vbbb+fmm2/G29ubgoICXnnlFV5++WU8PT2ZNWuWkllaRUXl56ehoYFt27axZcsWpk2bxrx589DpdKxdu5Z///vf2Gw2nn766XZ3PPC/I+m///57PvzwQyZOnMidd96J0Whky5Yt/Otf/8JisfDmm2/i6emJRqPh7NmzfPzxx9hsNv7yl78wevRoZZ567LHHeOONNzCZTPz+979X3mGz2Vi5ciUbNmzg8ccf54YbbqCuro53332X9evX4+bmxp133omXl9fPXYXXDF0W1RqNRjk80cPDg9jYWFxcXHB1dSUwMJARI0YQExNDamoqZWVliq1LEAT27dtHdXU1kydPZvLkyXh4eHSYxFHW1Y4aNYobb7yRkJAQXF1diYqKYv78+VRVVZGdnU1tba0i8Kqrq/n8888xGo3MmTOHcePGdSlJpMlk4vrrr2fZsmXcd9993HfffSxfvpw///nPTJo0qVMd8+nTp9m4cSNBQUHMmzePoKAgXFxciIqKYvHixVRVVbFixQrq6urUAydVVH4hJEni/PnzrFq1ChcXF2688UYCAwPx9/dnwYIFmEwmtmzZwokTJzocp6Io0tDQwHvvvYfNZmP69OmEhITg4+PDnDlzCAgIYNu2baSmpiKKomI71+l0TJw4kdGjR2MymfDy8mLQoEFMmDCBs2fPcuTIkVblTE1NZe3atcTFxTFjxgzMZjPBwcFMmTIFDw8PJWv9b3k+uSyni8LCQuUkTS8vr1YTul6vb3cnodfrmTx5MgaDATc3NwRBaKMGbImfnx8PPvggOp2ulV5Yr9fTq1cvAOVAR7ggi0erUgAAIABJREFU4Nzd3Vm8eDEBAQHY7XYKCgp+0uOfRVFk3759NDc3ExcX1yqVv0ajoW/fvjg5OZGbm0tBQUGroxNUVFR+HiRJQhAEsrOzOXLkCAsWLFBOM5fPoxoyZAg7duxg7969jBo1qt3niKJIdnY2SUlJJCQkKKYQrVaLp6cnAwYMICsrix07djBixAgMBgNRUVE8//zzmM1mTCYTWq0WURTR6XTtzgeSJLFr1y4sFgtDhw5VTlTW6XREREQQEBDArl27yMnJITw8XDme5LfGZSlDi4qKqK6uJiEhAYPBoJwcKooiJSUl5OXl0bdvXwIDA5WttVarJSQkhICAAAwGQ6ceNXDBfhQZGUl4eHird9jtdk6fPo1Op8PV1bWVjczZ2VkxYur1+svW8V7Ka7A9ampqlBNSL/4eo9FIQkICdrud9PT03/SKSEXll8Rut5OWlqZoP+Q5RVb9Dx48GLvdTk5OTqc268OHDyuLUaPRqPym0Wjo378/Op2OjIwMBEFAkiTc3Nzo27cvPXr0UOYj2ZZ/8uRJevToQXx8fKt3HDhwAKvVSkJCQitv6KCgIOUswLNnz+JwOH7CGru2uayZPTMzk/LycqKjo1sJk7q6Or799lvS0tKYOnUqkZGRV3WHI3sX7tq1i7CwMGbNmoXZbP7RK4yWQkp22e+q0HJ3d8dut1NWVtbukQQuLi6Ks4qKisrPj7zDqqqqQq/XtzkWXj452G63k5mZ2emzKioqANpdoMpzoawS7KwsmzZtYvv27UybNo3Zs2e3uqa8vBxBEDAaja0ElpOTEzqdDkmSOHPmDA6H4ze7CO6yl2B9fT1FRUXU19djMBgoLCxEo9Fw5swZduzYwaFDh/i///s/brvttla7nx+LJEk4HA62b9/O119/rXgh/pjny53A4XCQmJhIYmIi586dw+FwEBMTw1133cWQIUOUE0MvRqvVMmnSJF555RXS09NJT09n4MCBADQ3N5Oamsq3337bJTuaiorKT4OsmcnJyWn3dzkcR762s+ecOHGiw/FsMpkUgXLxc2TX9uPHj7NmzRoyMjJ48sknue2225SdmiRJ5Ofn09zc3OGZWO7u7hiNxt+soJLpksASRZH/r70zD46qyv7493Wnt+xbp9NJSAgBkqAhQCUhFgFkDCBRmFGBANYozog6ggsuxTDOTxAoZRwiARHFKhUXCk3YxA1IQTIs0RAhISbsBrJ1Fjqku5PeXvd79/eHvmua7oQ4ik6K+6nKP93v3Xtf591z7j3n3HOam5tx5coVaDQarFu3Dhs3bqTnswghWLJkCR555BH4+/v/6srq1KlTWLZsGbKzs7FkyZJfHCXDcRzi4+ORn5+PlJQU5ObmQqVSobS0FP/85z8xZ84cFBYWIj8/3yskHvjhRR85ciQee+wxfPjhh9i8eTPuv/9+hIaGora2FmVlZVSx9zYfMBiM3xYpotcXHMchISFhQO30FzwlnQv1Jfeam5uxZs0afPfdd7DZbAgNDUV9fT1Onz6N9PR0KBQKEEJgt9v7XeDq9XoEBQXdlH6r3vwshdXV1YVJkyZh3bp1iI2NhSiKqKmpwfr16/HRRx9Br9dj5syZCAgI+FUGJ4oiKisr8dxzzyE7Oxtr165FbGzsL/6nSQrnhRdeACGEvmzTp08HIQQLFizApk2bcPvttyMmJsbLJyaZ/BYvXoyYmBhUVVXhk08+QXh4ODIzM/HEE09g3759kMlkSEtLu+lfMgbj90Imk9HjL9cinXuSgrr6Izg4uM953NnZCUEQ4Ofn53VNQkIC3nzzTQiCgKamJuzatQsffPABvv76a6xatQp33HEHAECj0fTre+/q6oLNZrtpgy0kBqywLly4gLa2NkyZMgWRkZEIDg4GAGRlZeHBBx/EkiVL8PnnnyMjIwPDhw//xQMTBAGnT59GQUEBQkND8eKLL2Lo0KHXDdoYCFIbvmzREydOpC/y+fPnodfrve6XonciIiLw8MMPe427pKQEHMdhyJAhGDJkyC8aK4PB+O+QFFFCQgLKy8u9ghUIITAYDJDJZIiJiem3naSkJBw5cgQul8vre+kYT1xcnJdMUSgU1EqTnJyMJ598EiaTCRs3bsT27duRnZ1NjwZJh5FdLhc1L0rtGY1G2Gw2REZG/ioycLAyoKALm82GS5cuwWKxYOTIkR5h6TKZjDoJu7q6+tx+/1waGhrw+uuvQxAErFixwuMg78+J5vNF7yCL3kg7JwBwu93o6ur62f0QQlBeXg6e5zFnzpx+V2YMBuPGISms6OhoWK1WXLlyxeN7KWBMqVTi1ltv7XeexsXFwe12w2AweMkNyVw4bty4fndAknyZPn06zb5x9epVEEKgVqtp6qWWlhaPfKh2u50GbyUlJfl0U9wsDEhhXblyBU1NTYiOjqbh5sBP+bIuX74Mi8UCrVaLkJCQXzQgURRhMplQXFyMixcv4pFHHkF6ejo4joMoimhpacFnn32GS5cu+VQmvT/rS7F1dnaisLAQu3btopGBUt9Wq5VGD0lpU0RRBM/zcDgc9PyXL9xuNy5duoTS0lIMGzYMc+bM8WkmYDAYvw1+fn5ITU2Fy+VCS0sLjEYjnfOCIODMmTNQq9XIysoC8MNcd7lc4HkePM9DFEVwHIcxY8ZQ10hHRweAnxa+Fy9ehCiKyMnJodHRgiDA4XB4RfTJZDJoNBpqpZHkA8dxyMjIgFKpRGVlJd0NiqKIjo4OdHd301ytN7NZcMAKq7m5GcOGDUNERITH+avLly+juLgYWq0WEyZM8MiNdS3XnnXypUwEQcCxY8ewf/9+3H333cjKyqKH7qxWK44cOYKioiKPbBp99dMXZrMZu3fvRnFxMS5duuTxApeXl0MulyMlJQVpaWkAfgjnf/755/HHP/4R9fX1ffbX1taGTZs2weVyYeXKlb+Kv43BYPx3SDus5ORkZGRkoLGxEbW1tfSs1MWLF1FZWYlx48YhOzubmuO2b9+OOXPmYMOGDbh69Sr1ed92221obW1FVVUVlX+NjY2orq5GSkoKJk2aRBVQZWUllixZgi+//NLDxOd0OlFXV4eAgAAkJSVRecpxHO666y5oNBocPHgQHR0dNEFCdXU1Ghsb8ac//Ql6vf6mlin9+rBEUYTT6cSZM2dw7tw5zJw5E0qlEna7HVarFbW1tXjrrbfQ0NCAefPm4a677oJKpfJoQ1IEPM/TDOnt7e2oqKjA2bNnERoaCj8/P8jlcsjlchiNRpSUlKC2thYtLS0oKiqiDlGXywWj0YjExEQPpSQIAgRBgMvlwpkzZ3Ds2DEIgoBTp07hzJkzSElJoWcZeqfqP378ON577z389a9/RWBgIGpqavDaa68hJiYGS5cupSmkLBYLTp48iePHj8NqtXo9m8lkQnV1NYqLi9HR0YGVK1fS1dbN/HIxGL83HMchLi4Of/vb31BQUIBt27YhKioKQUFBePvttyEIAp555hmEhYXRhfjly5fxn//8B1qtFjzP04wWTz75JJYtW4bt27cjMTERWq0WW7duhdlsxurVqz2y/5hMJlRUVOD7778Hx3HIycmB0+lEeXk53nnnHWRmZmLu3LnUWsVxHEaPHo1//OMfWL16NQoKCvDcc8+hp6cHe/fuRWRkJO69996bOo8gAID0g81mIzt37iQpKSlEpVKRwMBAEhkZSbRaLdHpdCQ3N5csX76cVFRUEKvVSgRBIKIo0vtFUSQ8z5NPPvmEREdHk4iICBIYGEhUKhVRq9UkLCyM6PV6cuuttxKbzUYEQSCHDh0iGRkZxN/fn16n0WiIRqMharWaqFQqMnnyZHLs2DHidruJKIrE4XCQRYsWEb1eT8LDw+m9AQEBJDw8nERHR5OVK1cSq9VKrz9+/DhZtmwZycrKIrGxsSQqKopMmDCBrFq1itTX1xOe54koisTtdpNjx46RSZMmEY1GQ6qrq+nzuVwu8s0335Bp06aRe++9l7zzzjukubmZ3stgMH5/BEEgPT09ZM+ePSQ3N5fExcWRxMRE8tBDD5GKigridDrpfHU4HGTVqlUkPDycLFq0iBgMBkLID7LMarWSgwcPklmzZpHY2FiSmJhI8vPzyaFDh4jdbveY842NjWTLli3kz3/+Mxk+fDiJiooiOp2OTJs2jWzatIm0tLQQl8vlMU6pj48++oiMHz+eREVFkdTUVPL000+TU6dOEZfLddPLFY6Qvm1n0q5F+uuNTCajNtj+Ui5JNuG+zhnIZDIaSaNQKKiviPy45faFdL5J6lMaJ8/zPn1MMpkMKpWKjrP3s/E8T3drfn5+9HkkW7QUnCHZo/39/emqSBRFuN1uuN1uCIIApVJJ8ymynRWD8b8D+fEQsdPppC4Aab729jO73W64XC56jVqtphYeyUQn+bckGahSqbx81YIgUNngdrupL0wul0OhUHjIot5I8lL6k2Rs72jDm5l+FRaDwWAwGP8r3LyVwBgMBoMxqGAKi8FgMBiDAqawGAwGgzEoYAqLwWAwGIMCprAYDAaDMShgCovBYDAYgwKmsBgMBoMxKGAK6wZArpPLkMFgMBg/H6awfmUIIbBYLLRsAIPBYDB+HQZUwLE35Mey9UajEa2trTCZTLRqr0ajQUxMDHQ6HU1R1BtBEGC323HlyhV0dnbC5XJh1KhRCAoK8qp1ZTQa0djYSGvNaLVaxMbGIjQ0lF4rFVo8d+4c7Ha7z/FyHAeZTIbMzMw+S59IaaCkZ7p69So4joNarUZMTAyio6OhUCg80joZjUbU1dV5lQ8AgMOHD0Oj0eDvf//7dSuZMhiMXw9RFGGz2dDU1IS2tjYQQhAYGIjY2FhERkZ6Jef2BSEEVqsVBoMBbW1tcLvd0Gg0iI2NpbJAkm3kxxJLXV1dMBqN6O7uhtPphJ+fH0JDQz1kVu/0T2azGZ2dnbh69SpNW+fv7w+tVnvTlxDpj58lTQkh6OnpwcmTJ/HFF1+go6MDPT09EAQBDQ0NsNvtWLhwIf7yl7/QtPnSfYIgoLGxEeXl5Th37hyuXLkCuVyOpUuXepSwJj+W6fjwww9RUVEBhUJBa1RNnToVCxYsoG0LgoDDhw/jueeeQ1NTk88xcxyH2NhYfPXVV30qLFEUUVdXh507d1IlKZfL4XA4EB8fj7lz5yIjI4MWdxRFERUVFZg/fz7Ne9i7P6VSiWXLlvWZC5HBYNwYenp6sH//fuzZswfd3d3QaDTo7u7GqFGjkJ+fj8zMzH7vlxRQaWkpdu3aha6uLqjValy9ehUjRozA/Pnzcdttt9Fco4QQfPnllygvL0dbWxtUKhUsFgu6urqgUCgwbdo0zJ8/Hzqdjtb0q6+vx44dO3D+/HnYbDbIZDJ0d3fDYDAgNTUVzz77LMaMGUP7YPzEz1JYZrMZRUVF+OCDDzBixAgsXLgQaWlpEEURH3/8Mf7973/DYrF4rQ6cTieqqqrwySefwOFwYPLkyRg7diyGDBnilQSys7MTH3zwAQ4fPox58+ZhxowZ6O7uRkFBATZs2ACZTIaFCxdSJcdxHCIiIpCbm0srdgI/7b6OHj2KqVOnIjIyss/nOnv2LF555RW0tLRg2bJlGD9+PORyOSorK7Fhwwa8/PLLWLVqFTIyMjyeKzg4GDNmzMDw4cPpyyXt6CZOnMheOAbjN0JaNJaWlmL9+vWYMmUKFi1ahLCwMOzYsQMFBQXo7u6GTqdDbGxsn3PT7Xbj66+/xltvvYVhw4bh2WefRXx8PA4cOIA1a9agvb0dWq0WycnJtN+CggI0NTVhzZo1mD59Oi3CuH79emzatImWBgkICIAgCDhx4gQ2btyI6dOn4/nnn0dSUhLMZjMKCwuxbds29PT0YMuWLdDpdD4T5N7UDCSluyiKRBRFsnPnTjJmzBiSl5dH6urqPNLjV1ZWkhkzZpC3336bltcQRZG4XC7y7bffkvvuu4/MnTuXfP3118ThcPTZT0lJCRkzZgxZunQpaW1tJYIgEJ7nSVVVFdHr9eSOO+4gtbW1hBBCeJ4nmzdvJo8//jhpaGggbrebtsXzPNm1axfJy8sje/bsITabrc8+//WvfxGdTkdeffVVjzIpNpuNbNy4kYSHh5O1a9eS7u5uWjLl008/JcnJyWTHjh2E5/mB/IwMBuMGIQgCMRgM5IEHHiDp6enk1KlTtBRHQ0MDmT17Nhk1ahT5+OOPidPp7LOdlpYW8tRTT5GsrCxy8OBB4nQ6iSAIxGQykUcffZTExcWRjRs30rbdbjcZP348ue+++4jZbKafm81m8tJLLxGtVksWL15MWltbiSiKxOl0km3btpHRo0eTTz/9lPbrdrvJiRMnSHR0NImOjiYVFRVEEIQb+IsNTgakvqUy0Dt27EBnZycWL17ssasAgBEjRuDFF1/E9OnTaap9URTR3d2N119/HZcvX8aCBQswbtw4n2nyCSGw2+2oqanBuXPnkJiYiPDwcLpjiYuLQ3JyMhobG3Hq1CkAgFwux5QpU/DEE08gOjraYzXS1taGAwcOQKfT4ZZbbqElQa7ts7OzEzU1NTCZTMjOzoZKpaLlQdRqNYYMGYKgoCCcP38enZ2dLJCCwfgfRBAEKjtSUlJoQUYACAoKwtixY9HR0YGqqip0d3f32U59fT2OHz+OuLg46PV6ai1Sq9XIysqC0WhEVVUVzGYzCCGQyWR4+eWX8X//938ICAigfSqVSgQHB0OpVFKZIVVAzsnJQWFhIXJycmi/HMchISGB+rzdbveN+qkGNQNSWIIg4OjRo6isrERubi7GjBkDpVLpYR4LCQlBdnY24uPj6eeiKOLgwYM4dOgQUlNTMWHCBMjlchrkQHqFfxNC0NXVhQsXLiAsLAyxsbG0D8kvlJaWBpPJhMbGxh8GL5MhJSUFKSkp9Fqp7bq6OlRXV2PChAmIi4vzubUmhMBms8FqtUIQBAQEBHg4RzmOQ1RUFOLi4nDx4kV0dnZ6+KWk8Ut1cqTaWUypMRi/LaIo4ty5c2hubkZKSgr8/f3pdxqNBiNGjIDb7YbBYIDFYumzncbGRpw9exZDhw6lC2aO46BQKJCamkoDzqQoYI7j8Ic//AHp6ekess1qtaK1tRVOpxOpqal0PDKZDPHx8ZgyZQrCw8Npv4QQNDY2QhAE+Pn5ISws7Mb9WIOYASksg8GAI0eOoLOzE5MnT+4zeOFaRFHERx99BD8/P8yaNQv+/v60aKJUbLG3wnI4HLBYLNBoNF47ImmVYzabqcLyBSEEJpMJlZWViIiIwNixY+mu6Vo4joNKpaI7vvb2do8xAYBCoYBKpYLD4fAqYkl+DCaRCsPxPE+LtTEYjN8OacFrs9mg0Wg8FqgymQxqtRqEEHR0dKCrq6vPNqxWK8xmM5RKpUeEr9QGAJhMJnR0dHgtTCVlZbfbcfDgQXz++eeYNWsWZsyYgYCAgH7HTgjBgQMH4HQ68cADDyAhIYFFCfpgQAqroaEBtbW1SEtL69O8di2EEFy9ehUlJSVQqVTQarV44403MHXqVIwcORLZ2dlYs2YNLBYLVRJmsxnNzc0+25PL5dRp6auqsIQgCDh//jwOHTqEjIwMJCUl9fuP12q1GDlyJIKCglBaWoqenh5a7dNqtaK6uhrfffedVySgXC4Hz/PYuXMnZs6ciZSUFGRmZuKxxx7D6dOnaWVTBoNx4+nq6kJ7ezut7HvtnFcqlfD396eWkGshP0ZAGwwG+v217cjlcgQGBtKFam+ZIIoinE4nysvL8cILL2Dt2rXIz8/HihUrkJCQ0G/whNvtRm1tLbZt24aUlBQsWbJkQOH3NyPXjRIURRHff/89amtrsWDBAo9IvL6QVhrnz5+HKIowGAzYvHkzHnzwQSxatAgWiwWbNm3Cli1bcOHCBbz99ttQKpVwuVw+z1NJCmIgq47u7m4cOHAALpcLOTk5/a5spBdy7ty5qKqqQnFxMSIjI3HPPfeA53l89dVX2L17NxwOB+RyOX1ujuMwdOhQTJ06FXl5eZgwYQKUSiU+++wzFBYWIi8vD++++y5uv/12FuXDYPwGSFYOX3Ach+DgYMTFxV23DYfD0ef3arUaw4YN8ymDRFHE4sWLUV5eDqfTiZCQEBiNRrS0tECn0/UZlUgIQXNzM1auXAk/Pz+sW7cOWq3WwzXB+Il+pank42ltbYXD4UBcXJzHwd3r3WswGEAIgU6nw/LlyzF16lSEhIRAr9fjqaeeQnx8PPbu3YuTJ09CFEXI5fI+d2+iKMJkMtEgDF/9iaKI1tZWHDhwAGlpacjIyBjQWFNSUvDyyy9j3rx5KCsrw7PPPostW7YgKSkJDz74IAIDAzFixAhERkbS/keOHIk33ngDM2fOREREBEJCQjB79mw89NBDAICXXnoJPM8zfxaD8Rsgl8t9BnNJOBwOmM1mj4XnQNroPX/dbjdNKnCtQuE4Dps2bcI333yDL774Avn5+SgpKcHy5ctx9OhRn8rU7XajqakJGzZsQGdnJ1599VWMHTuWKat+uO4Oi+d59PT0gBCCmJgYBAcHD6hhQgiNxgkMDERaWhq1CSsUCuh0OiQnJ+PMmTOorq5GRkYGAgMDodfr0dLS4hXcIAgCDAYDNBpNnw5JnudRXl6O9vZ2PProowgNDR3QWJVKJdLT05Genu7Rp9vtxptvvomOjg4kJCR4nFj3NTmUSiWys7Oh0Whw4sQJtLa29rkiYzAYvx7BwcE0SOJac51k7uvo6EBaWhpNANAbjuMQEBAArVYLAD5Nh06nE83NzRgxYgSCgoI8vpMy/Wg0GgQHByMqKgp2ux1btmzBu+++i+TkZK8dntFoxIcffoja2losWrQI48ePp34yhm9+sb1KFEW43W4vvxLHcR7/IF87jd4vDsdx8Pf3R0hICLq6umhKJgkprVNYWBgSExN9jqO1tRXbt29HamqqR8jof/tcHR0duHDhAhISEpCenk5fUkIIXC6Xz7RMKpWKruDa29t/0RgYDMbAUCqViIiIgEqlgtFo9AiQEgSBZsuJjo7uc8ErpVMKCgqC2WyG3W6n81uK/OM4DuHh4YiKiupzIcpxHIKCgpCZmUkjjHubGkVRhNlsxpdffomysjLcd999uOuuu+Dv708X5/356W9mrquwZDIZPVcFwGvlYrFY8Omnn+L48eP0c2nLPGrUKMhkMgiCQHdpvduQtsnBwcGQyWQICQlBfHw8LBYLmpqa6Asj7Xbq6+tpkMS1CIKAkpIS1NfXIzc3FzExMV7XSGbD64WfSwrp9OnT+PbbbzF58mSMGzfO43zZK6+8ggMHDni1IZkBpZRQDAbjxiOTyZCYmAidToezZ8/CZrN5yJmWlhYEBQUhKSmJWol6ywHp2ujoaAwdOhSXL1+moeuS/GloaEBAQAASExPpOa/eMuXawKzAwECo1WqvvKo8z6OyshKff/45srKyMHPmTISHh0Mmk0EURezbtw/V1dXMneCD6yqsgIAAenjWYDCgq6uLbpedTicqKiqwZcsWtLS0eNzHcRz0ej1ycnLgdDpx8uRJuuqR8gpeuHABGo0G48aNoxE4o0ePxvDhw1FTU4Pm5mba19mzZ3Hx4kVkZmbilltu8ehLOqD8/vvvQ6fT4c477/SZdFYQBOzevRuPPPIICgsLwfO81zWiKMLlcuHSpUvYunUrIiMjsXDhQg/lIwgCCgsL8frrr8NoNFIThMvlwqlTp+B0OjFt2jTo9XpmDmQwfgNkMhnS09MxbNgwnDx5Eg0NDXC5XBAEAWazGUePHkVycjImTpwIpVIJURSxdetWLFq0CJs3b4bL5QIhBMOHD8e4ceNw9uxZnDt3DjzP093VoUOHMGzYMNxxxx1QKBQ0YGL58uXYuXMnXC4XVVyCIKC+vh5GoxFjx46lqeQIIbhy5Qref/99+Pn5Yc6cOQgJCYHdbofdbkd9fT0KCgpQU1PDFJYP+lVYkq8mKysLOTk5KCsrw+HDh2G1WmEymfDFF19g7dq16O7u9tpNSLusZcuWISgoCG+99Ra+++47ulNav3492tvbsWLFCiQlJUEul0MulyMrKwuzZ89GXV0d9uzZA5PJhNbWVrzxxhsIDQ3F/fff7+GbklZABw8exMWLF5Gbm4uEhASfUTmiKKK2thY7duzAkSNHvLbdgiCgra0NZWVlWLNmDQRBwDPPPIPx48d7BINIK66amhq88847aGtrg9lsxrFjx1BcXIyIiAgsXbqUZVxmMH4jpAO5CxYsQHh4ON58801cvnwZDocD+/fvx4ULF5CXl4dbb72VHvCtrKzEzp07UV5eTv1Ver0e8+fPR0JCArZu3Yq6ujrwPI99+/ahsrISs2bNQkZGBu3XYrFg3759WLFiBUpKSmCxWNDd3Y3S0lLs3r0ber0e99xzD0JCQqgiO3nyJPbv348TJ05g+fLlmDdvHubMmYPZs2fj4YcfxpkzZ7z8cIwfGFDy25SUFLz00kvYs2cPXn31VaxevRqEEISFhUGr1eL2229HfHy8131yuRy33XYbXnvtNRQVFeHpp5+G3W5HQEAAhg4ditdeew2TJ0/2cDRGRUVh8eLF0Gq12Lt3L4qKiqDRaJCRkYGnn34ao0eP9lJGoiiirKwM/v7+yM/P7zNaSCaTQaFQQKFQwM/Pz6MdQgiKiorw3nvv4ZZbbsHdd9+NyZMnIzw83Curh5+fH4qLi7F3716UlZWhqKiI7ignTpyIWbNmeaWuYjAYNw5pcX3nnXdCo9Hgvffeo7Jg5MiRWLFiBXJzcz1SrykUCnpAWPI7K5VKTJo0CQqFAu+++y4ee+wxeozl+eefR15eHvVlSz6xxx9/HKWlpVi3bh1efPFFyOVyaLVaTJgwAXl5eUhOTqYLXofDgb1794LneXR2dqKiosLrWdRqtYcbhvETHBmAGpfstA6HAw6Hg65GJAWgVCqhUCh8CmhpN+JwOGh2Cyl81Jd9V7rH4XDQOjFqsx0QAAABOklEQVRSlgvp5ep9vbRqcTqdEAQBKpXKS8FISIEbbrebRvVIpkMplyHP8zS8vq92pGfieZ72SwihWTFUKhVTVgzG74A0N202G3VBKBQKOtd7V3OwWq1wuVxQKpVQq9UeFhFpbksmQaVSSed2b5kgiiLN3COZBIEfFrWSLOotYyQZdG1ZIgnJMiVFHDKl5cmAFJbEtQ5KaaXSO/eeL6R7pD/puv7OG/hyYvo6wd67/d7XXW8cvtqT+uyvr76e6doxsheNwfh9uHZeAr5lTX/zfaBtXHvt9WRB7/yjfSHdw5IOePOzFBaDwWAwGL8XTIUzGAwGY1DAFBaDwWAwBgVMYTEYDAZjUMAUFoPBYDAGBUxhMRgMBmNQwBQWg8FgMAYFTGExGAwGY1DAFBaDwWAwBgVMYTEYDAZjUPD/QC3eOHfEyl0AAAAASUVORK5CYII=)
Which gas has the highest critical temperature?
The van der Waals constant for gases
and
are as follows:
![](data:image/png;base64,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)
Which gas has the highest critical temperature?
chemistry-General
chemistry-
The distribution of the molecular velocities of gas molecules at any temperature
is shown below. (The plot below is known as Maxwell’s distribution of molecular speeds.)
![](data:image/png;base64,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)
Where
is molecular velocity
is number of molecules having velocity ![v](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAKCAYAAABmBXS+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAGpJREFUeNpjYICAICBeyoAJ9gKxF4yjAsQX0BTYA/FJdF3fgJgJiX8ciF3QFYEE9aBsDyA+iMV6hoVAHAplg6y2xKYoC4i7gDgAiHcz4AAgX6wD4itAbIBLERcQ/wDiTQwEwAcg1mEgBwAA5+gQxmAj9O8AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnY8L21pPjwvbWF0aD476OiVAAAAAElFTkSuQmCC)
Let us define
, which is equal to the number of molecules between the velocity range
and
, given by
![increment N subscript v end subscript equals 4 pi N a to the power of 3 end exponent e to the power of negative b v to the power of 2 end exponent end exponent v to the power of 2 end exponent increment v](data:image/png;base64,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)
Where
is total number of molecules
and ![b equals square root of fraction numerator M subscript 0 end subscript over denominator 2 R T end fraction end root](data:image/png;base64,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)
is universal gas constant
is temperature of the gas
is molecular weight of the gas
SI units of
are
The distribution of the molecular velocities of gas molecules at any temperature
is shown below. (The plot below is known as Maxwell’s distribution of molecular speeds.)
![](data:image/png;base64,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)
Where
is molecular velocity
is number of molecules having velocity ![v](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAKCAYAAABmBXS+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAGpJREFUeNpjYICAICBeyoAJ9gKxF4yjAsQX0BTYA/FJdF3fgJgJiX8ciF3QFYEE9aBsDyA+iMV6hoVAHAplg6y2xKYoC4i7gDgAiHcz4AAgX6wD4itAbIBLERcQ/wDiTQwEwAcg1mEgBwAA5+gQxmAj9O8AAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnY8L21pPjwvbWF0aD476OiVAAAAAElFTkSuQmCC)
Let us define
, which is equal to the number of molecules between the velocity range
and
, given by
![increment N subscript v end subscript equals 4 pi N a to the power of 3 end exponent e to the power of negative b v to the power of 2 end exponent end exponent v to the power of 2 end exponent increment v](data:image/png;base64,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)
Where
is total number of molecules
and ![b equals square root of fraction numerator M subscript 0 end subscript over denominator 2 R T end fraction end root](data:image/png;base64,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)
is universal gas constant
is temperature of the gas
is molecular weight of the gas
SI units of
are
chemistry-General
chemistry-
The figure given below shows three glass chambers that are connected by valves of negligible volume. At the outset of an experiment, the valves are closed and the chambers contain the gases as detailed in the diagram. All the chambers are at the temperature of 300 K and external pressure of 1.0 atm
atm
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhYAAAEsCAYAAACfTvqFAAAgAElEQVR4nOydd3wVVd7/33PvTW5yc9M7aaRBCi1AAgRCBCnShXUR7Mq6Lrq6uupallVxy+Pqo6uPPKsCoqKuKApKEakSEQiBAAkklDRIIATSe26b+f3hM/NLJECCURDP+/XKi5B7Z+acKed8zreNpCiKgkAgEAgEAkEPoLvSDRAIBAKBQHDtIISFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DCEsBAKBQCAQ9BhCWAgEAoFAIOgxhLAQCAQCgUDQYwhhIRAIBAKBoMcQwkIgEAgEAkGPIYSFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DCEsBAKBQCAQ9BhCWAgEAoFAIOgxhLAQCAQCgUDQYwhhIRAIBAKBoMcQwkIgEAgEAkGPIYSFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DCEsBAKBQCAQ9BhCWAgEAoFAIOgxhLAQCAQCgUDQYxiudAMEAsHPF0VRUBTlsraVJEn71+FwYLPZsNlsODk5YTQatc9/KTgcDqxWK1arFZPJhMFguCbPgXq/dPe+kSTpqjwf3+9HV9vYfrvu9kvd9nK3u9C5b/9MXuy7l7oWQlgIBILLxmazUVdXh8Ph6NZEoQ5M3t7eODk5UV1dTUZGBqdPn2b8+PHExcWh1+t/xJZfXciyzMmTJ9myZQt2u53Zs2fj4+NzVU6kPwRFUWhqaqKpqUn7f1dxcXHBw8MDg+HqmrYaGhpobW0FICAgoMvXzG6309DQgE6nw93dvcv9UhSFs2fPotfr8fPz69Y9YrFYaGxsxG63dyqInJ2dcXd3x9nZmZaWFhobGztdPJjNZsxmMzpd506Pq+sKCQSCnxVlZWUsWbKEM2fOEBYWho+PD4qiYLfbOXToEHa7HU9PT/r06aMNgCdOnKChoQGABx98kMOHD7N161ays7Mxm83069ePPn36/CKEhaIolJaWsmbNGr755hv27t1LfHw8U6ZMwdvb+0o376IoitJt4SPLMl988QUbN25Er9fj5eVFeHg4LS0tlJaW0tLSgo+PD+Hh4eh0OlpaWigoKMBqtTJlyhRmzpx5xYWFoijIskxJSQmbNm3i4MGDNDU1Icsy4eHh3HLLLSQkJODs7NzptjabjcLCQtavX099fT0OhwNfX18mTZpEdHQ0zs7O503YsiwjyzJ5eXl8/PHHuLi4IMsyBoOBGTNmEB8fj06nu+BEr3L27FkyMjLYvXu3JjAkSdJEysiRIxk9ejQBAQGcPHmSrVu3kpWVpS0cDAYDfn5+TJkyhZEjR+Lq6trpcbp1hbpiwmpvSvmlc7nmqovtqz3iHAuuNKWlpWzevJmpU6eSnp6O2WxGURTa2tr461//SmtrK8OHD2fevHnodDoURSEhIYHMzEzefPNNbr75Zvbu3cvRo0c5cuQIAwYMQJblK92tn5S6ujpycnI4ePAgZWVlxMTEIMvyZbuYfgqsVis2mw2TydStccjhcLB8+XLOnDnDvHnziI+Px8fHh+PHj/PFF1+Qn5/PI488QmpqKk5OTlitVoxGI2+++SYDBw7sdLL+qZFlmcLCQl577TV27NiByWTi7NmznDp1CldXVwoLC3niiSdISUnpcG5UQXL48GEWLFhAZGQk06dPx263s27dOp544gmef/55BgwY0KmwyMjI4PXXX6dPnz6kp6fT1tbGmjVr+Oc//8lDDz3E4MGDLyksvLy8GDx4MGazmVdeeYU9e/ag1+sZMWIEs2fPpm/fvpjNZuA768vw4cPJyspi1apVeHp6MnPmTMaMGUNMTAxOTk4XPE6XhYWqtCwWy0VveL1ej8Fg0P79JaLeQO1V3g9Zfan7slqtKIqindtr1Qcr+PkgyzLx8fH85je/ITAwEEmSkGWZlpYWdDodkiTh4eHBwIEDtWdAlmWGDBlCY2Mj3t7ePPbYY2zbto177733Cvfmp0eSJGJjY/nLX/6Ci4sLb7zxxpVu0iVRFIXDhw9z5MgRfv3rX3d5spdlmfr6elpaWnj77beJjY3Fzc0NnU5HeXk5FotFW4H369dPmz88PDyorKxk0KBBV8WcUltby7Zt2wgLC+PNN9/E19cXi8XCwYMH+cMf/sDWrVsJCAggISEBs9msjdGyLFNdXc1f/vIXqqur+fOf/8zQoUORZRk/Pz/uv/9+nnzyST766CO8vb07iIRDhw7x2muvYbFYmDdvHr1798bhcGAymXjmmWd44403ePLJJztYBjvD3d2duLg4evfuzYkTJ9i3bx9eXl7ccsstjB07FldXV+24Xl5eJCQkIMsywcHBPP/884wZMwY/Pz+cnJwuOqd1+So5HA42bdrEI488gs1mw+FwaKaX9oEcXl5e/PrXv2bSpEkkJiZ2yTxzraAKCovFQkFBAStWrMDPz4958+bh5eV1WftTFIXm5mZWrlzJ66+/TlNTE6NGjeLee+8lJSXlJzu/PWl9EVw7hIaGMnXqVAICArQJxuFwoNfrtftSp9OdJ659fX2ZMWMGLi4uhIeHa6Lkl4jJZCIiIgIvL6+r/hzIskxzczOZmZmUlJQwa9asLm+rKAoHDhzgmWee0awPapDgnj17KCgoYPz48QQHB+Ps7KzdLyaTiaSkJPr27XtVnJ+KigoCAgKYM2cOnp6eWh+io6Opra3lT3/6E6dOnaK+vh43NzetzQ6Hg08//ZQDBw4wa9YsBgwYgNFoRFEUkpKSSEpKYvXq1axevZo77rhDswhYrVY++OADtm3bxn/9138REhKCk5MTTk5OxMXFkZqayquvvsrAgQOJjIzEycnpgudJna+NRqMmXgwGA76+vhiNRu2cq3PZ2rVr2bFjBy+//DJTp07FxcWlS9egyzOSwWBg4sSJbNiwgUmTJlFRUUFDQwNPPPEE2dnZ5Ofnk5mZyX333cerr77KbbfdxvLly2lubu7qIX72NDQ0sHr1am6++WbS0tL497//zenTp3E4HJe1P7vdTmlpKXfffTfvv/8+y5YtIzc3lxEjRnD//ffz3nvv0dbW1sO9OB9ZlrFarZfdD8G1S+/evZk4ceJFzaKdIUkSgwcPJiYm5qqYLARdw263c+TIEZYvX95pAODFkCQJnU7H2LFjtclPlmVqamo4d+4cdrudoUOH4u7u3uGecHFxIT4+nvDw8B+jS90mISGBGTNm4Onp2WFh7erqysSJEzVB3b4PqrXm6aefRpIkhg8frglxNcbh+uuvx8XFhT//+c9UVVWhKAoOh4Pc3Fxyc3Ox2+0kJCTg6uqqHdPX15f4+HgcDge7d++muLj4B4/Tqndi69atPP/887zxxhtMnz69W5la3bIrGQwGIiIiiI+Px263M3z4cEaOHKlFtPr6+jJnzhwkSeKpp57irbfeIioqivT09F/E4FFZWcmOHTtISkri+PHjlJWVdTtavj11dXW89NJL7Nmzh0WLFhEXF4ezszMzZ84kPz+f//3f/8Xf358pU6ZoN3hPoygKFRUVfPPNN6Smpl41D7fg6sBoNGorz+4gSZLmy+2M9u4/u92urdC+b35Vg9psNps2UKsuQ/X76kCvfldNbZUkSXMpqs+PulJra2vrMEC7urri5OTUqUvY2dn5vEG3vTvUZrNpgXZOTk7nTTwXOndqEKzVakWWZZycnC7oVlWPZ7fbsdvtyLKsrfrbWzXV9qjfkSRJS+9VP7dYLFrf9Xq9tpJVgw5feOEFjhw5wpAhQ2hubkaWZYxG4yVds5IkMXbs2A4WblmWKS4u5sSJExgMBgYNGnRe3EavXr0IDg6+rDTOy+FSx+nMSty+T2azmcjISHx9fTvcU7t27cJms6HX6+ndu3eH6yhJEr1798bJyYmWlhYyMzO1+Ivs7Gzy8vIIDg7WrAzt7x0/Pz9CQ0PJzMyksLCQqKioy+p3ewt5RkYGr776Ks8//zzjxo3r9jPe7eDN+vp6Tp06BUDfvn3x9/fvYPJ0cXGhX79+xMTEsG/fPm2FfTmDz8+N6OhoXnnlFUpKSigqKqK8vPyy9+VwONi5cydff/011113Hf3799cGJW9vb6ZMmcLy5ctZuXIlQ4YMISgoqMej6NWBLT8/ny+//JKUlJQe3b/g2qCnn+v2kfO5ublUV1cTHBzMkCFDiIiI0I6npi4WFBRw9OhRxo0bh81mIzs7m5qaGgYNGkRcXByurq4oikJLSwuFhYWUlZXR1NSEw+HAy8uLPn36aIO6oijU1dWxZcsWamtrsVgsSJLE9OnTiYiIQJZljh8/TnZ2NvX19SiKwoABAxg+fHgHM7HD4aC8vJyjR49SVVVFS0sLbm5u9O3bl7CwMG3FrtfrO5jL258Dq9VKfn4++fn5tLW1ERERQVJSEoGBgZ2er9LSUgoLC2loaKC+vh5fX18iIiKIi4vTJuumpiYOHTpEQUEBDQ0N2mSekpKCXq+ntraWzZs3U1VVpU1a119/Pb6+vhw8eJDFixezfv16AEpKSvjqq68wGo0MHjyYyMjIi45BndU+cDgcHDlyhKKiIiIjI+nVq9d5AqU79SvU83apWMDOUOev7lrf1OM6HA6KioqYOnUqDz74oCY21c8OHDigCUxVdLTH3d0dnU6Hw+Hg6NGjTJs2TcuWaWpqIjIyslNXhKurK56enhQUFFBRUYHVar2sIFf1Gdm0aRMffPAB9957L5MnT76oa+VCdFtYVFdXU1JSgqurK7Gxsef5BdUTqar0xsbGDquJaxl1oLjcVZyKGuSTkZHB8ePHmT17dgelajAY6NWrF3369GH//v3s2rWL6dOn97iwcDgcnDhxgrfffpuGhoZfXLS+4KdH9eFv3ryZ9evXk52dzYkTJzAajdx22208/PDDBAUF0dzczKFDh9i9ezfr1q2jsLCQd999l8zMTD7//HNKS0u59dZbefzxxwkKCuL06dOsXr2aY8eOYTabCQ8Pp6ioiD179tC7d29uuukmJk2ahLOzMw6HQ7PSZWRk0NraSnx8vCZq2traKCoqYs2aNRw7doz77ruPAQMG4OLioonxAwcOsHLlSkpLS4mJiUGn05GVlYVer2fQoEFERERgNpvx8/Nj/PjxHcSSw+Ggvr6er7/+mq+++orDhw9rfv0HH3yQW265BS8vL3Q6nWZd2bhxI99++y2yLBMSEkJVVRUrV65EkiRuuOEGbrrpJkJCQrTJY//+/axbt47a2lr++Mc/MmTIEPR6PbIsc+rUKdavX09OTg6JiYkkJibi5+dHUVERMTEx+Pv7U1VVhcVioba2FhcXF81K1F2ampo4duwYNTU1zJgxo9MJt7sUFRVx5MgRLBZLl7eRJAk3NzeSkpIICwvr8nbq9VaDN7dt28ZDDz1EWFhYh36oLg1ZltHr9ecFZwL4+flhMBiw2+3k5eWhKAoNDQ2cO3cORVHw9/fXLEvtcXd3x9fXl4KCAsrLy2lra7uoNbCzPqguqe3bt7Np0yZmzpzJxIkTNbdLd+mWsLDb7Zw8eZKDBw8SHh5OdHQ0Li4uHb7jcDiorKzk3LlzuLq64ufn94uwVvQksixz4sQJ9u/fr0Xkto8uBnBzcyMyMpIvv/ySgwcPcv3113d6010uiqJQWVnJCy+8wNq1a0lLS+uxfQsEF8JisfDNN99oE/CYMWP45ptveOedd1i1ahWJiYnMmTOHsrIyNm/ezFtvvUV1dTWurq5kZGRgNBqZNm0au3fv1lJfm5qaeOGFF1i1ahUvv/wys2bNwmg0UltbyzvvvMOiRYvYv38/ZrOZsWPH4u/vz3333UevXr3Izc3VCoCpK2d1dW6z2Th8+HAHd6c6MS9cuJCysjJef/11RowYoQUu/v73v+fll19mypQp3HTTTej1+vMm5JaWFr744guqqqq44YYbmDBhAmvXrmX9+vV8+OGHDBgwgBEjRmgxCtu3b+fvf/87qampPPXUUwQEBGgWz8cee4wFCxZw4sQJnn/+eTw9PRk/fjxBQUEcP36c3bt3a24RnU5HYGAgDz74IAEBATz77LPaAlGn0zFnzhwqKirYvHkz9fX19OvXj3nz5nU75bQ9FRUV5OXlAdC/f/8fXLtDzZpzcnLqVqyBumDrTiC8oig0NjZy9OhRNm3axObNm7FarURERODr60t4eHgHV0h+fr7Wvs4CdVXLlWr5UN0SNTU1ANpc+n2cnZ1xc3MDoKqqCqvV2uU+qP2ora3l448/5ssvv2TmzJlMnz79vFiX7tAtYWGxWDh+/Djnzp0jPT2dkJCQ8xpYV1fH9u3bqaurY9iwYQwaNOiyTEs9hboCUH2PXUUNNFJTO3/KzBZZlqmoqOD48ePodDrMZvN55kEnJye8vb1RFIWysjJqa2vx8fG56H5tNhuNjY3s3r2b3NxcamtrkWUZd3d3RowYwcCBA/Hz80On05Gdnc1bb73FJ598gizLFBQU8MILL+Dr60tycrIWaFRWVsb27dsJDAxkypQplJaWsmXLFo4dO4arqys33ngj/fv3R6/Xa8fOzMykpqaGYcOGMWnSJLy9vX8RxZAEl6a1tRWz2czNN99MVFQUer2elJQU9u/fT0FBAYcPH0ZRFIKCgpg1axa1tbW8/fbbwHe+7bvuugudTsekSZPw8PDA09OTbdu28emnnzJgwACmTJmC0WhEp9Ph5eXFnDlz+Pbbb9myZQt/+9vfiIyMJCoqSquGaDKZOq1QaDQaCQgI6FCVUP198+bN7Nmzh+uuu04b/9TI/9TUVIqKiigpKWHy5MmdukEaGxsJDAzknnvuISAgAFmWCQoK0lwGp0+f1uJFqqqqePHFF2lra2PGjBlado1OpyMlJYVbbrmF5557jo8++ojk5GRmz56tTUQXWojo9Xp8fX3Pm+S/75JQ/3+5k49aHGzv3r0EBgbSt2/fCxZc6ipq+m50dPRllQzv7jh/9OhRPvvsM/7zn/9QU1OjVVCtqanhwQcfxNvbu9Pzc7G/qSEHKl3th6IotLa2djt4s7W1lbVr13L8+HHq6+sZPXo0zc3NWirw5dAtYdHY2Mj+/ftRFIWIiAj8/f07PFQ2m41vvvmGTz/9lLCwMG6//Xbi4+OvqLVCDQ5avHgxhYWF3drWYDBw++23M3Xq1B+pdZ1jtVopLy+nsbGR0NDQTkv7th/YampqupR9oxZ1ycrK4je/+Q3x8fGcPn2azz77jC+++IJbb72VO++8E19fXwICApg2bRqtra189tlneHp6kpKSQnBwMGFhYRQXF7N27VoyMjIoKyvjpptuIiEhgUWLFrFq1SoqKytxcnJi+/btvPHGG/Tq1YulS5fywQcfcPLkSZqbm/nqq684d+4c9957Lx4eHj/W6RT8jDCbzaSkpNCnTx9t4gsMDGTEiBEcP36clpYW4LvVm6enJyNGjOD9999Hr9eTlpammZPVZ6OyspIlS5ZgsVgYO3YsJpNJGyz1ej29evVi4sSJZGVlkZ2dzYYNG5g/f/4lx6wLTaiyLJOVlYWiKISHh2srTJ1Oh5OTE0OHDuXzzz/n5MmT2kT2/cHb29ub66+/Xos3AIiKiiIhIYGMjAza2tq0VfBnn33GwYMHSUhIoH///h3aZTKZuOWWW/jb3/5GY2Mj//nPf5gwYQL+/v6X7NuPFQyuohZRKyoqoqKigunTpxMdHf2DFxg/VOx0Zzv1Gv/qV79iwIABZGRksHz5cioqKvj8889JTk5mwoQJ3SrV/UPprGrnpdDpdAQHB3P27FkKCgpYtmwZra2tPPDAA90Kmm1Ptwpk1dfXa6Yztc656l8rKCjgs88+Y9OmTQQGBvLEE08wbtw4zURzpdDpdISEhPDb3/5WG5S6s21QUNBPXofDZrNpJY/NZvN57ia1berAe+bMmQ4KtzMURWHp0qV8+umnDB48mJtuugkPDw+tkNGTTz7JqlWrGDlyJL6+voSEhODr60t2drZW7nX06NFERUXR1NTE//zP/7B582Zyc3PR6XScO3eOHTt2kJaWxty5c8nJyeHll1/m4MGDvPfee4SGhmIwGFi0aBEtLS288cYbbN26lX/961/8+te//kFmN8G1Q2cZFqr/+1IZB993FwIUFxdTVFSELMsXrBMxZMgQ3N3dqaur0ywiP2Rislgs2O12zU3SHrUA0cUmv84CCA0Gw3mBe4qisHLlSmw2GzqdrtPVvo+PD6mpqWzbto2zZ89SU1NzSWHxU6D69A8fPowkSURFRfXIWKtacaqqqrDZbF3eTpK+e09GUFBQl2sOSZJEQEAAfn5+JCYmMnr0aHr16sULL7zAyZMn2b17N+np6VrQfXBwMMXFxcD/t261v55lZWVa1siQIUOQJAkXFxfc3d21bTqjtrZWS6gICgrqtkvcaDQyatQoJk6cyMsvv0xOTg5LlizBZrPxpz/9CS8vr24XJuvSt9tHvBYXFxMaGqoF/ZSUlNDS0oLD4SAtLY0//elPjBkzBn9//04nxJ8adVDq06fPlW5Kt1ADJS81wKmWoq6YvyIjIzGbzUyaNEm7WSRJom/fvkRFRbFv3z5KS0sZPnx4BxdQe5eQs7MzHh4ePPTQQ8yZM4ehQ4fS1tbGsWPHePrppwkNDcVoNBIfH092djYrVqzg7bff5r333mPMmDG4ublhtVrR6XSUlZWRl5dHfn4+oaGhXeqv4Nqns0m3qxaE70+8Z86cuWiGgDp4qyvl7vqnO9vfmDFjWLt2LXV1ddTW1mruFHXSczgcDBo0CL1e32k/u2o6VxSFvLy8Cz776r48PDy0QM/uuIN/TBRFoaqqigMHDuDh4UFsbGynAY2Xs9/9+/ezceNGGhsbu7ydmgEze/ZsBg0a1KVxSD2/apEpV1dX7r77bg4dOsSmTZsoLy+nrq5Oe1lX37592b17Nw6Hg7q6uvOye9T7VA3OlyQJk8mkuVNqamo6vT9tNptWz8jDw6PboQc6nQ43NzfGjRtHYGAgzz33HBkZGSxevJiGhgb+9re/nZfmeim6LCza2trIzc3F4XCQlJTESy+9REBAQIfvtD/Rv5Rqmz8WXbmAqvjobIDqbH+//e1vmTdvniYY2qdmqYNOVwSKXq/H3d0dvV6vCY60tDQiIiI0Zevs7KylIlutVsaNG4eLi4smUtS6AIAW/CZEhaCnUe8pWZYpKyu75HuOLjfNUUWn0zFjxgyWLl3K6dOn+eijj5g/fz56vZ6mpiZWr15Na2srCxcu7JFXw6vbW61WamtrL5oN0Fn/rhR2u52ioiKOHz9ObGwssbGxPdIenU7HhAkTGDduXLey2NrPXT/EWuXl5cXIkSPZtm2bVnsFvhszR44cqRUWq6ysxN/fv4PrR60JYjAYSE5ORpKkDi9kO3XqlPYW1fa0tbXR2NiIwWAgLCzssuNUjEYjKSkp/POf/+TJJ59k165dvPfeexQVFfH2228TEhLSZVdVl4VFS0sLW7duxdnZmbCwMEJDQ6/YjalOiHa7vUuulra2NiorK7tdpVJVsWrZ1p8Kg8GgmXUdDkenD0hbWxtnzpxBkr4rrOLn53fJ/aoFdtRBqLKykr1797JhwwZOnjzZZR9fe/HYvtjP9wu3tP+9faGiywmSEgi6i/psqHUs9u3bh81mu2Bevk6nIy4uTrt3TSaT5oJpb7pWrQ/qc6n+X8VsNrN48WIef/xxvvjiC5ydnYmNjWXnzp00NzfzyiuvaOmdP2RckSSJUaNGsWHDBpqbmzl58mSnqZJqu729vfH19QW+c8mo8R/ff+5VC7Va4Et9IVpnz/bloi5UZVkmOjqayMjIHhlj2wuEH5POFkLqcU0mEy4uLoSEhGhzh16vJzU1FTc3N+x2OyUlJfTt27dDCe2ioiJsNpsWz6Yu/pKSkoiPj2f//v1awL36mSzLnDt3jtOnTzNlyhT69Olz2X1X44D69+/PCy+8wFNPPcXOnTvZtWsXDzzwAH//+9+JjY3tUlnvLgkLNYVq//79hIeHa6lOVwpZltmzZw82m02r5HYhFEXh1KlTLFmyRPNvdRWdTscdd9zBpEmTftL+Go1GevXqhYuLC7W1tZ3GhjgcDk0otV/9XwxFUTh79iyZmZnk5ORw5MgRZsyYwbRp0ygsLOTAgQM93heB4EoSGRlJ3759KSkpIScnh2PHjjFgwADNsqZaY+G7INHJkydrg7aXl5eWadXc3Ky9A0WWZWprazlz5gwA9fX1NDU14eHhgcFgwGazcezYMWJiYhg1ahQ1NTXk5eWRmJjIPffcQ2hoaI+k4EuSxJw5c9i8ebNW9XfYsGEdhJNae8jV1ZXp06drgeBeXl64ublpn7cXF83NzZw6dYqmpibsdjuNjY1YLBYtm0aNh2ovriwWS4eqopeiqamJrVu34uTkRExMTAfr99WOmmXYWRVU9QV8cXFxXH/99dq4LEkSoaGhzJgxg/Xr13PgwAGtoqW63YEDB2htbeXOO+/Usnv0ej39+vUjKSmJvLw8Tp06pdWFUtNdT506hclkIiUlhbCwsB8sqgwGAwMGDGDJkiU8/PDDbNiwgY0bN3Ly5ElefPFFxowZc8n7t8sWi127diHLMoGBgSQmJl5Wg1UlrN7Eqlm8vSpW/64qT/XmVf/mcDgoKyvj5Zdf5uabb8ZqtV7y7aGRkZH89a9/7XYaTvuXrP2UqEGjsbGx7NmzR/PLtu+jzWajtrYWSZKIjIy8qMVCPa8FBQUsX76crKws5s6dywMPPICbmxv79u0TbghBj6A+4+3LQtvtdlpbWzsELrb/vvqMq/FCaglr1UrgcDi0SpktLS00Nzfj4uKCw+HQxhN1QG9fb0K1Ovzxj3/kyJEjnDlzhqVLl7Jw4UItlVKt1Nna2sp9992nmeTV2CzVYvHVV18RFRVFQECAVnuhuLgYRVHIycnho48+0tJLs7OzeeSRR3jssccYOnSo9tyqK9qamhqcnJzw9PTUBE77c6AGf6r9Vy20apnxhoYGrFYrJpOJcePGkS/ah1EAACAASURBVJ6eztatW9m4cSOTJ08mISFBG1dLS0vJyclh6NCh3HjjjVpbdDqdVnBp8+bNZGVlERsbqxWsys3Npampierqaq2w2D333KMJga1bt1JeXs7x48fR6/XY7XYSExMv6t5pX+Y8JyeHvXv3EhMTo7219OfgDlXrUWzfvp2YmBiSk5O1d4bIsszZs2fJzc1l/PjxDBo0qIOVVq/X88gjj5Cbm8vXX3/N7bffTkREhFaIMDMzk9jYWO6++27tvlCv09SpU8nKymLr1q2MHj1aS0MuKSlh586dpKSkMHbsWDw8PC650FaLeqnZRerzZbfbNSuaXq8nODiYf/3rX7S0tLBt2zaOHDnCc889R3NzM2lpaVqZgM4sWF0WFl999RU6nY7IyMjz6ld0FYvFQlZWFufOncNkMtG/f3/CwsI4e/YsOTk5WrCNi4sLI0aMAODgwYPU1NTg6+tLv379yMnJYcWKFXzzzTeEhoZiMplITEwkNja202O2N8Nfbj2NKyEsevfuzaBBg8jMzKSyspLW1tYOkfFqYRZ/f3/t9bwXo7a2lqVLl/Lee+/x3HPPcdttt2EwGDoMxALBD6W2tpa6ujo2b96sTY7l5eVs2bKFpKQk/P39O1TzUwfV/fv3A9+9byc3N5fExERCQ0NpaGiguLiY3bt3a2W+9+7dy9ChQ6mpqWHHjh1a1cdvv/2WkJAQvL29tWfFYDAwbNgwHnnkERYtWsQXX3xBWFgY06dPx9nZmYMHD7J582bGjRvHXXfd1aEMc2BgIElJSWzbto3PP/+cc+fOERQUhMFgYPTo0SQnJ/P5559TXV1NdnY2gwYN0gpWNTQ08Omnn3Lo0KFO3yvh6upKWloa1113HUajkYKCAkpKSgA0MeDu7o6fnx/V1dXk5uaSl5eH1WolKyuLkSNHkpCQgKenJ3/961+x2+3k5uby73//m9tuu43IyEhKSkr4z3/+Q1paGn/4wx8IDQ3VhIXBYGDChAls2LCBo0ePsmDBAhITE1EUhSFDhpCcnMzOnTupqqpi3759GI1GbZUeFhaGLMvs3r2bv/3tb4SEhDBz5sxLjiGtra3U1dVx7NgxFi1ahN1u1xZIZ86cwc/P7wfVTvixUSfknTt38uijjxIfH88tt9zCxIkT8fX1pbi4mOzsbBISEpgzZ855mUx6vZ4+ffrw2GOPsWTJEt577z1uvvlmGhoaWLlyJQEBAcybN4/IyMgOWRiSJJGamsq8efNYsmQJH3zwATNnzqS+vp4PP/yQ5uZmfv/732vpxhfDYrFQX19PaWkp27Ztw+Fw0NzczNatW4mLiyMqKgoPDw/tPTMGg4GxY8eSkZGB1Wpl3759LFiwgNmzZzN27FhiY2MJDAw8b2Gvf+655567WEPUYk3PPfccJpOJO+64o4MK7wrqPv7xj39gt9tpampi8+bN5Ofn06tXL60g05IlS9i8eTMAqampOBwOPv/8c9asWUNgYCDR0dGcOHGCrKwsTpw4QWxsLOHh4QQEBHQpN/tyf7pLQ0MDX3/9NUeOHCEpKYn09HRMJlOn37XZbFp1u/btdHFxob6+nuzsbLy9vUlJSdFMkGp9/WXLljFq1CjuuusufHx8LvhAKorC8ePHWbZsGYWFhdx6663ExcWh0+m0IKp169ZRVVXFrFmzNIuUw+Hg2LFjbNmyhZCQECZNmoSPj0+Hlyu9+uqrAAwdOpSxY8dqbbDb7XzzzTdkZWUhyzJPPPFEh9XZqVOn2LhxIxUVFcyZM0d7y6UQOD9vNm7cyI4dO9i9ezdubm706tULLy8v6uvrqaiowMfHB39//w5Bh++88w55eXm4ublptXEkSSI6Oppdu3axfft2SktLCQ4Oxt3dnZaWFqxWKwcPHuTAgQN4e3sTFBSE3W7X3smhmpLVH3XQ9PT05PTp05SXl3Pq1Cnq6upISUnh1ltv7fC+HUn67uVcAQEBeHh4YLVaaWhoICAggIkTJ3L99ddTU1ODXq/nzjvv5Pbbb2fIkCEYjUZMJhMlJSWUl5fT3NxMdXW1lgJZVVVFZWWlNj4YjUY8PT359NNPOXXqFJ6envj4+GC1WtHr9URGRrJx40Z2795NfX29VtuiubmZsLAwfH198fHxISEhAT8/PxoaGjh16hQlJSVUV1fj6+vLHXfcQVJS0nlF9gIDA/Hw8ECv19Pc3KwFDU6bNg2DwUBTUxPjx49n3rx53HTTTZhMJq0ctSoKvLy8GD9+PKNGjeo03bc9aoXKzMxMTp48SVBQEL6+vjgcDs6cOYPJZCIgIKDbqY0/FWrf1CwQm83GuXPnqK2t1QLfe/XqxbRp0zq8Q6v99u1j4kpLSyktLeXkyZN4eHgwa9Ys0tLSOnUzODk50bdvX7y8vCguLta2NZvN3Hbbbdocc6nxs7y8nG3btrFz504KCwvx9/fXar7U19djsVgICAjQqtauWLGCnJwcjEYjwcHBhISE4OrqSl1dnVbls0+fPufdWxe9gmqmwJdffkl9fT1RUVFaKmJ3sFgs/OUvf8HT05MJEybg4uKC2WxmyZIl6HQ67rvvPqZOncqxY8dYtmwZ1dXVuLm5YbFYMJvNDB06lPHjxxMQEEB6ejqnTp1i9+7dDBs2jBtuuOGCk/aVoL358vt/6+yi7927l/fff5/Q0FAeeOABLTXMycmJkSNHMnLkSL755huKi4sJDAzUHvivv/6agIAApk+fft6b8jprU/s3Gqolur28vNi1axdvv/02p0+fBr4b6I8ePYqHh4d200mSxNmzZzl+/Dg+Pj7s2rWLQYMGdVrU6vv9/v45ae/7VVFNcoKfN4qi0K9fP0JDQxk7dux511Sv1xMUFHTe38aNG8f111+vfV+SJNzd3bW05eDgYKZNm9bhc7PZTFxcHCNHjuywP6PReN4x1Oq1U6ZMYcSIEVRVVdHU1ISzszM+Pj4EBAR0WipZkr6r4jh//nymT5+OxWIhMDCQwMBA7fXfKSkpBAUFaZH4sizTt29fYmJiePjhhzutiaDGOuXn5/PJJ58wZMgQpk6d2qGPOp0OT09PrbR5TEwMd9xxh/YM6XQ6zf3p4uJCcnIyCQkJVFRU0NjYiMPh0ArddTbhqLESc+fOJT09nYaGBk0Iurm54eHhQXh4ON7e3lq6pHq9YmNjefrpp6moqMDd3Z2QkJBLBvSpFqDU1FRSUlKYO3fuee0JDg6+6ivw6vV6Bg4cyIIFC7SEADVmxdfX95KB/mpq5+TJk0lKSqKmpka7Z9XrfaHjenp6MmfOHEaPHk1tba022V+oumdneHp6MnjwYOLj45kxY8Z5bTObzZqoUBSF1NRUhg4d2mkCgSRJWlzR97mgsLBYLDQ1NbFnzx5efvllzSdTVlZGaGio9ia2S3VIfVNbZmYm//nPf7SHoX///gQGBrJlyxYmTpxIWloajz76KIcOHWLnzp2sWrUKPz8/9Ho98+fP11YT7u7uminVZDJpaY9XA+qK6ejRoxQVFWG1Wtm2bRszZswgOTkZV1fXDpHgiqLw6aefsnLlStzd3Zk0aRIDBw7U9hcSEsLjjz/OX/7yF1577TU8PT0JDg5mzZo1bNmyhd/97ndMnjz5kv1XB8iQkBCcnJzYsGEDR44cwc3NTRMn586dIyMjgxdffJEbb7yRRx55RHN96fV6ioqKePzxx/H19WXOnDkkJyezZ88ezZe+a9cuCgsLteChkpISduzYoaVHrVmzhsmTJ+Ps7Ex9fT1ZWVmcOXMGWZbZtGkTo0aNwsfH55KvXhZcvUjSd4WOLpTm15kVUH275vdFiDqR9e7du1PRqborunKM9p/5+PhopfC7apX08vLSRHT77/v5+XV4aZa6EHv22WcZPnw4aWlpnQ666qA9cOBAioqKcHFxoU+fPp1O/gCxsbGdlhVv3xY1JiQyMlI7xqUKccF3gd9RUVEdBA18NwF5enp2uo3BYCAwMFBblXflHEqSpJ2v7l63qw2DwYC/vz9+fn4dFktdjcdTrWFhYWGEhIR0q+/Ozs5EREQQHh6uHbM7uLu7ExcXd8Fr0L4fOp2OxMTEi6btXvD6Kxfg448/VoYPH64EBQUprq6uirOzs2IymZTg4GDllltuUY4cOaI4HI4Lba5htVqVd999V4mMjFRuueUW5Te/+Y1y7733KjfffLMSExOjmEwmZfny5Yosy4rNZlPy8vIUs9msBAUFKfPmzVMKCgoUWZYVRVEUWZYVi8WiLFmyRAkODlbef/99xW63X7INPxVFRUXKzJkzlV69eilubm6K0WhUXF1dleDgYCUmJkY5fPiw1hdF+a4/H330kdKnTx9l6tSpyunTp8/rj8PhUPLz85Wnn35aiYuLU3r37q08+uijys6dO5Xm5uYuXQP1WHl5ecr8+fMVb29vxdXVVXnyySeV4uJipbKyUnnyyScVZ2dn5Y477lDy8/MVq9WqOBwOpa6uTnnttdeU0NBQJT4+XnnllVeUkpIS5aabblJ69eql3Rvu7u5KcnKy8sEHHyh//etflYiICMVsNitGo1FxcXFRAgMDlVmzZimZmZnKDTfcoPj5+Smurq6K0WhUvLy8lOjoaCUvL6/D+REIfk7YbDZl9erVSmhoqLJjxw7FYrEoDodDkWW5w4/D4VDsdrty8uRJ5c4771QaGxvFfS+4ppAUpXMbtOozah+trKoYg8GgKfGuBIu8/PLLvPXWW7z99tt4eXlpb/RTffVRUVGab9VisbBq1Srmz59Pamoq77zzjmbaVP7PpL98+XKeeeYZXnzxRebOnXvVWCzaF5lqr/LaV678vrqzWq04HA7tO53ltqv7VNqZgtWA1O6ofLUUuxqtrx5Pr9drsR7qtVXPaft4CvW46jFV14ryf6sj9TM1dqN9Fk77/qnpWsr/rdzUz9Q0uZ/DqkUgaI86Nj3zzDO89dZb/PrXv+app57C19dXe3+DGh9ls9morq7mySef5Pe//z3Dhw+/auMKBILL4YJ3c3vx8EOQJEnzX4aGhtK7d29tAlGFRPuc8paWFvLz85k+fTrffvstixcv5o9//OMPejXvT4VOp+vUV3sxuvL9nroWF9uP0WjstMa8KgY6a+fFsmwu1t4L7U8g+DkjSd+9Uj0gIICPPvqIzZs3M2vWLOLj4zWXSX19PUePHmXjxo089NBDDBs27KpZGAkEPcWPLpN1Oh3x8fE4OTnx5ptv8uijj2p10K1WKzk5Ofj7+xMdHU1VVRVr1qwhOTmZe+65hwULFrB27Vri4uK0VwwLBALB1Yaa2jpr1ixMJhNvvvkmlZWVrFu3js8++0wLOPX29qZv374sXryYgQMHipgiwTXJTyIsBg0aRL9+/Xj33XcBSE9Px93dndraWk6fPs3YsWOpq6vj7bffxtvbm0mTJmG327nrrrt4+umneeutt/D399fUvZOTk1aERy2Ko2ZTCAQCwZVAdRVOnDiR1NRUDh8+TFFREfX19UiSRFBQEFFRUcTFxWmvbxeiQnAt8pMIi6CgIB5++GEcDgeLFy/mk08+wcfHh6CgIO688070ej3Lli3j3//+N/fff7/mdzeZTPj7+7Np0yaMRiP33HMP48aNIz4+HovFwpYtWwgICCAyMpL4+PgfuysCgUBwUVTLhbe3N6NGjeqQDts+g6P9vwLBtcZPEjGk0+lITU3FbDYzZswYqqqqcHV1ZdCgQaSmptLQ0IDJZOKee+7RKn7JsoyrqyujR49m4MCBWm10nU5Hv379WLhwIW1tbZpAEX5KgUBwNSCEg+CXzgWzQn4sbDYbra2t2vvrJUnS3ievZlKoOeNqfXwVvV6vmRBtNhsWi0WrDSEQCAQCgeDK85MLi/aHa6/oO/t7Z01r/5lYEQgEAoFAcHXxkwsLgUAgEAgE1y4ijUIgEAgEAkGPIYSFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DCEsBAKBQCAQ9BhCWAgEAoFAIOgxhLAQCAQCgUDQYwhhIRAIBAKBoMcQwkIgEAgEAkGPIYSFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DCEsBAKBQCAQ9BhCWAgEAoFAIOgxhLAQCAQCgUDQYwhhIRAIBAKBoMcQwkIgEAgEAkGPIYSFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DCEsBAKBQCAQ9BhCWAgEAoFAIOgxhLAQCAQCgUDQYwhhIRAIBAKBoMcQwkIgEAgEAkGPIYSFQCAQCASCHkMIC4FAIBAIBD2GEBYCgUAgEAh6DMOVboBAIOg5FEU57wfAarXicDiwWCzadx0OBzab7bx9SJKEk5MTOt136w6dTofBYMBoNKLX65Ek6bwfgUAgUBHCQiC4RlAUBYfDQXV1NbW1tTQ3N9PY2EhrayslJSXU1tZSUFCgfbe+vp7y8vLz9qPT6YiIiMDFxQVJkjCZTAQFBREdHY2/vz/u7u54enpiMpnw9vbG3d1dEyECgUAgKeqSRiAQ/GyQZRmHw4Esy9TV1XHu3DkqKiooLy8nPz+f4uJiqqqqKC8vp7q6GofDgZeXFy4uLri5uWn7cXZ2xs3NTRMGiqJQXV2tWSFkWaa1tZX6+npaW1sxmUwEBwcTHh6Or68vsbGxREZGEhQUREBAAIGBgbi6uqLX69HpdEJwCAS/QISwEAh+hpw9e5bDhw+Tl5fH8ePHKS4upqCggFOnTuHh4UF4eDiBgYH4+PgQGBiIp6cnwcHBeHp64u3tre3Hzc0Nb2/vDgKgrKxMc6GowuXs2bPU1tZy+vRpTciUl5dz9uxZJEkiIiKCqKgooqOjiYqKIiEhgX79+uHt7S1cJQLBLwwhLASCqxhFUTTrRGtrK0ePHuXAgQPs37+fo0ePUlJSQmtrK2FhYURHRxMdHU1sbCwhISH4+/vj6emJv78/bm5uHeIh2k/27X9vPxx8/3dZlqmsrKS+vp7q6mrOnj3LqVOnKC4upqioiOLiYiorK/Hw8KB379706dOHIUOGkJycTExMDM7OzhgMBhGXIRBc4whhIRBcxciyzOnTp/nqq6/49ttvyc/Pp6ysDJvNRv/+/UlNTWXw4MGakPDz88PDw+O8ibsnJvLvDxVqTEddXR1VVVVUVlZSUlJCbm4uWVlZ7N27F19fX3r37s3AgQMZN24co0ePxsfHR7hIBIJrGCEsBIKrDLvdjt1up7CwkC+++IINGzZQUVFBS0sLgYGBjBkzhuuuu46YmBh8fX3x8vLqYAn4qa0B7TNQ2traqK+vp6amhsLCQjZt2sTWrVtpaGjA29ub4OBgbrjhBmbPnk1QUBAGgwGdTicsGALBNYQQFj9TLnXZLjRQX2i7yx3Y1QmlMxP71Uz7Nl8NqNdFURROnjzJhx9+yIoVKygtLcVqtTJhwgRuvfVW0tPTMZvNuLi4YDBc3UlddrudlpYWKisrycjI4L333mPfvn04OTkRHh7Offfdxx133IHJZBLiQiC4hhDC4meGOpFbrVba2trO+1ySJAwGA66urueZm61WKxaLBVmWtYlMp9Ph5OSEs7Mzer2+W+2QZZm2tjZKS0vZuHEjUVFRTJ48+aqe8FTzvd1uR6/X4+TkdKWbhCzLWK1WKioqWL58Oe+//z7nzp3DaDQycuRIHn74YYYOHYqTk5OWbQFXv4hT71U1RqS5uZktW7bw73//myNHjmCxWAgODuYPf/gDv/rVr/Dy8urQv2uZ9oL8ar+OAkF3EcLiZ4Zqbl67di1ffvkldXV12Gw2JElCp9Ph7e3NsGHDuO+++84TCjk5OaxYsYJjx45ht9uRJAkvLy9GjRrFXXfd1a1JVlEUjh8/zmeffcbf//53fHx8ePTRR5k/fz5Go7Gnu/2DUBRFWz3X1dVpMQB33303kZGRV2xgV9tVXV3Nrl27eOmll8jLy8PT05Pk5GQeeOABRowYgYuLyzUx2aqTaX19PevXr2fp0qUcO3aM1tZWBg8ezOOPP05KSgoeHh49LjBkWdZE9feRJEkT1t+/F2w2G1artcvfvxiqyLJYLNTV1VFSUkL//v1xd3e/qsRF+4wgm82Gw+HQ+qyOM1dTewVXH1fv0lLQKeoDPnz4cFpbW1myZAlZWVno9XpCQkJ49NFHmTJlSqeDcmRkJNOmTSMnJ4ddu3YRHh7Ovffey7hx47plrVD57//+bwoLC7V6ClejRlWtO3v27GH37t18+OGHnDhxgpCQEGbPnn3F2qWmcebk5PDuu++ybt06fHx8mDlzJnPmzGHYsGG4u7t3e/K6mlH74eHhwezZs5k2bRrr169n5cqV5Obm8rvf/Y5Zs2bxq1/9iv79+3cahHo5qBPkmjVrtJoe7dtkNptJS0sjIiLiPGtbXl4eWVlZWK1W7f42mUyMHTuWiIiILrdPURQsFgslJSXs2rWLjz/+mIKCAtatW0d8fPxVdY1lWaa+vp7CwkIKCgqor6/H2dmZsLAw+vbtS0hIyFVh6RNcvQhh8TNEr9cTFhbG3LlzURSF4uJiqqurSUlJ4cYbbyQoKKjTgcrd3Z3k5GQefvhhMjMzue+++5g3bx7Ozs6XtTp89dVXKSkpYciQIVelqFBpbW0lMzOT1tZWnJ2dsVgs2O12TQz9lIO66j46cuQImzdv5t1339Wu3cyZM5k5cyY+Pj6XJfR+DkiShF6v19xQs2fP5rrrruOTTz5h1apVrFixgr179zJ37lzGjRtHZGSkFuD5QyksLCQzM5O9e/dSU1ODTqejb9++jBo1isGDB3e6TU1NDVlZWWzcuJGqqipiY2MZNmwYI0aM6PbxKysr+eKLL1i0aBHnzp3D19e3UwvKlUK1qJSXl7N69WpWrlxJeXk5sixTW1uLLMvcdtttzJ49m+HDh+Pi4nKlmyy4ShHC4meK+j6H1NRURo0axZo1a8jJyaGpqemi20iSRElJCQkJCcydO/eyRYVa6vlKuhK6groiffDBB1EUBZPJxNGjR69Ym2tqati2bRvLli0jMzOT/v37c+uttzJr1iz69OlzTVkoLoUqMoKCgvjtb39Lamoqq1atYv369fzjH/8gIyODefPmMXbs2B8Ui6DGEf3pT3+ipKSEv//973z44Yfo9Xpuuukm5s+fj4+PT6f7T09PZ9CgQVitVrZv387TTz/N1KlTMZlM3W6Pq6sr119/Pbm5uaxevfqy+vJjorqp1q1bx44dO7juuuuIjo7G4XBw8OBBVq1axfLlyzl27BgLFy5k5MiRv5h7VdA9hLD4GSNJEiEhIYwePZo9e/ZQUFDAnj176N27t5Z+2B5FUbDZbGzYsIHbbrsNDw+PH7QS/Lm8hMpgMGAwGLDb7Xh5eV2R9tpsNkpLS/n4449ZuXIllZWVzJo1i7lz5zJ8+PAOZbV/Saj3j6urK0OHDiUsLIwhQ4awcuVKtm/fzunTpykoKGDOnDl4enpetglejQvo3bs306dPZ9OmTdTX12OxWFAU5YLnXqfT4ebmhpOTE1OnTmXChAlasbHu9tPX1xd3d3fGjx/P2rVrL6sfPyaKolBeXk5hYSHz588nKSkJd3d3FEVh0qRJhIeHs3DhQrKzs/n4449JSkq6LIEluPb55Y1k1xguLi6MGTOG6OhoZFnmgw8+uGCQmizL5OfnU1tbyw033HAFWvvLxOFwkJuby4IFC1i0aBEtLS088sgjPPvss4wZMwaz2fyLFBXtUYMCg4KCuPHGG1m4cCEPPPAAx44d47/+67949tlnKSgo+EEuNzU+qV+/fqSlpSFJEllZWVRUVFxwG0VRKCsro7S0lKlTp16WqGiPTqfTgiCvNlTX4JQpUxg9erRWH8VgMBAYGMjdd9/N9OnTaWlp4fDhw5w8efKqcuUIrh6ExeJnjk6nIzo6mrS0NA4dOsTevXvZuXMnY8eOPc9Pb7PZ+OijjxgzZgxBQUEdJjPVv9rY2MiBAwc4dOgQ9fX1KIpCaGgoAwYMIC4uDrPZfNH2qHUYNmzYwOnTp7WIcoPBQO/evbnrrru0QXXlypXk5+cjyzI6nY5p06aRlJSEJEnYbDaqq6vJyckhNzeX5uZm/P39GThwIEOGDNHevHk1o6aRfvXVV7z00ksUFBQwcOBA7r//fm3gFhH2HVFdfLGxscyfP5/ExESee+45Vq5cycmTJ3nwwQdJT0//Qf790NBQUlNT2bBhA3v27OHw4cPExsZiNBrPuxZ2u51du3bRt29f4uLiLhj70r5I2KUseZ1ZEtUJ+vvCSRVc3z+GSmf3j7q/7loU9Xo9UVFRxMTEdAhiVdvg4eHB9OnT+eyzz7QMK4GgM37Zy6RrAEmSMBqNjB07luDgYFpbW3n//ffPW0moE/7evXuZMGHCeasmWZYpLCxk3rx5zJ07F4PBwIgRI/Dy8uLpp5/m9ttv54MPPsBms12yTR4eHgQGBrJmzRpef/11Xn/9dQ4dOkRiYmKHQlB9+vShqqqKZcuWERgYiL+/v+au2blzJ//85z8pKipi4MCBeHp68vzzz3PnnXfyyiuv0NraelUHjKr1MtauXcvvf/97jhw5wpQpU3jttdeYOnWqFqApREXnGAwG/P39mT59Op988gnJycls376dxx9/nNWrV2O32y/7+huNRkaPHs3IkSNpampi48aN1NTUdLr6bmhoICMjg+TkZIKCgs4TFuok3tDQQEFBAfn5+Zw4cUJb/XeljYqiUFtbS35+Pnl5edrL5fLz86muru5Q1fTEiRPk5eVpn3f2nNfU1HD8+HHy8/Npa2vrcsaW6vZxdXXt9HO9Xq9l6nh4eFwwSFwgEBaLawBJkkhOTmbw4MGcOHGC1atX8/TTT9OnT58OK4+srCx69+6tBVy2HxQaGxt544032LZtG3feeSe/+tWv8Pb2Jjk5GUmSeOyxx9iwYQOjR4+mb9++F1y5qbUxJk+eTGRkJDNmzKCyspLJkyfTr1+/DseMjY1l0KBBJCYmcuedi9xt5QAAIABJREFUd+Ls7Izdbmfnzp2sWLGC2bNnM2rUKCRJIi0tjfT0dNLT01m8eDFms5nf/e53V13NDPjO9WGxWFi2bBkLFizAZDLxu9/9jieeeAKTydRp/IvgfNpbL5YsWcKiRYtYvHgxCxcuxGazMXPmTMxmc7fPpU6nIyEhgcGDB/P111+zevVqfvOb3+Dn53fefZ2bm4vFYiE+Pv48K5nVaqWgoIClS5eyceNGEhMTMRgM7Ny5E0mS+POf/8ytt956yTgESZLIzs7mueeeo6ioCKvViiRJ9O/fn4ULF5Keno4kSVRXV7N06VI+/fRTLBYL6enpLFmyRLPwlZaWsnTpUk6ePImzszPZ2dlUVVVx//33c++99xIYGPiDso1UgaPX6/H29hbCQnBBhMXiGkFN3fPw8MDhcPDBBx9oufeKotDU1MSmTZsYOHBgp35iRVEwm82EhIQQGxuLyWTCyckJd3d3BgwYgMPhoKysjLKyskv6VVUrSmJiImPHjkWn07F79+4O26mD4Z49e7jhhhtwcXFBr9dz7tw5Vq5ciU6nIyYmhvr6eurr62lqasLPz4+UlBRqamrYvn07Z86c+VHO5eWiWimqq6t56aWXePbZZzGbzTz88MM888wzeHh44OTkJAbjbqCKi+DgYB566CH+8Ic/0NbWxrPPPsuKFSuoq6vrtp9fp9NpsUnqva1O1u0tana7nR07duDt7U2vXr3Oi4M5duwYTzzxBOvXr2fBggW88847vPPOO7zxxhs0NTXxz3/+k3Xr1nXJWjBu3DhWrlzJpEmTsNlsNDc3s3z5ctLS0rTvhISE8NRTT3Hdddfx2GOP8T//8z9aUPLevXv517/+RVpaGkuWLGHp0qWsWLGCyMhIXnzxRe69914qKysvOyZCtcwcPXqUkJAQZs6c+bNwRwquDEJYXCPo9XrS0tKIiopCkiRWrFhBSUmJNkDm5ubS1tbGiBEjOjV1enh4aFaJO+64Azc3NxRFoaGhgbNnzwL/vyR4V5Ekibvvvhu9Xk9GRkaH4DtFUdi3bx+JiYl4eXlpf1Pf5Hn48GGWLl2quVJef/113nzzTRwOB0OGDCEgIID6/8feeYdHVaZt/DczyaT33klCeiGhIxCkgywqRQFBXKQKCmulrGLZRVxR+VwQdiliAUEMVapCAgQIECAhCaEkhBAS0vukTjnfH37nfEFCTwNyX9dcepE5Z95zzvs+536fcj9lZY1w5xoPGo2GjIwMFi1axIoVK3Bzc2PRokXMmTOnjVA8JGQyGXZ2drz22mvMnj0bpVLJokWL+OGHHygqKnqgF2ZoaCjh4eEoFAq2bdtGXl6eFDbQ6XRkZGRIGiM2Nja3HF9UVERGRgYBAQF4e3tjYGCAnp4eERERtG/fXlJUvdfrs7e3Z9q0afj4+ABQWlp6EymRyWTk5ubSvn17BgwYICl2FhcX8+2332Jqakq3bt0kYuLg4MD8+fORy+WcPHmSrVu33lMosyGI4ZodO3bQsWNH+vfv3zaf23BbtIVCHhPI5XKMjIx49dVXiY+Pp6ysjK1btzJ//nzq6uqIiYnBz88PNze3BisQFAoFlpaWmJqaolaryc3N5fLly+Tm5hIXF3cTIbjX2LZcLqdTp04EBwdz8eJFfvrpJ8ldrFariYuLo1OnThgZGSGTydBoNGRnZ5OZmUn//v2ZOHHiLcZr0qRJwB9x8oaMfUtAvCeZmZksW7aMLVu24OXlxd///ncGDRrURioaCQqFAltbWyZOnIiBgQGrV69m0aJF1NbWMnXqVCwsLO6rusbKyor+/ftz6NAhrl27xqZNm3j33XfR19dHrVaTmJiIgYEBYWFhDZa5BgYG8uGHH2Jubo6/vz9yuVxSobWxsaGyspLMzMx7ahgoJjiHhIQQGhpKeno6Gzdu5KOPPpKuSafTERcXh729vZR8rdPpOH/+PAcOHGDUqFFERUVJc00QBHJycnBzc0MQBBITEx8oL0UkWpGRkQiCwJw5c7Cysmqb0224LdqIxWMEuVzOgAED8PHx4fz58+zatYtXX32VyspK0tPT6devH/b29rc1vmKC5759+1CpVOh0Otzd3QkKCnogIyKGRN59913GjRvH4cOHuX79Om5ubly9ehV9fX1JWVH0rJSUlAB/lNG6uLg0mKlf//ytATqdjtzcXL777js2b96Mv78/CxYsoGfPnm35FE0Aa2trSYflyy+/ZOnSpejr6zNt2rT70lXQ09OjZ8+e+Pj4kJmZyU8//cT48eNxd3envLycc+fOYW5ujoeHR4O5Cba2towYMUIiBmVlZSQnJ3PkyBFSUlJukg6/F8hkMkxMTBg5ciQxMTH88ssvvPrqq3h7ewN/eEhyc3MJCgrC1NRUWjNHjx6VqlHqV4kIgoCzszMffPCBpKPxIDogWq2WS5cu8dNPPzFz5kw6d+7cqhsNtqHl0TY7HiOI7uK//vWvvPfee+Tm5rJ//34MDAyora3Fz88PpVLZ4LEajYaUlBTWrVtHZmYmL7zwAr169cLR0ZFjx4498HgUCgW9evUiJCSEvLw89u/fz4QJEzh+/Djt27e/qey1/gvh6tWrXLlyhYCAgFuMularlUrdWtJrIXoqCgoK+OGHH9i0aRMeHh7Mnj2bHj16YGBg8MTrUzQFxNLHESNGoNPp+PDDD/nmm28wMzPjpZdekjxg93IeZ2dn+vXrx+nTp7l27RoHDhzglVdeISsri6ysLEaOHHnXJmF5eXmcOHGCS5cuSR1aH7TPiUwmo2vXrri7uxMfH8/WrVt5++23kclkJCUlYWxsTHBw8E1ejNTUVAwMDCRZ+IZ+V/y3+x2TTqcjOzubpUuX8sILLzB8+PC2aqY23BVtVu8xgigANHLkSOzs7CgsLGTz5s0cPHgQZ2dn3NzcbntsZmYmq1atIjIykueff57hw4fj4uLy0EZEJpNhZmbGiy++SHl5OdHR0Zw7d46SkhKcnJykRFIxSc/R0RGAuLg4tm7dSlFR0S3nLC0tJS4ursXr6AVBoLKyksjISFasWIGZmRlz5syhX79+GBsbt5GKJkT93f28efNQqVR8/fXXbNu27b7c/TKZjGHDhmFra4tGo2HNmjXk5+eTkpKCWq2+o7dOo9Fw5swZPv74Y37//Xd8fX0ZMmQIM2bMoH379g/8/G1sbHjppZcQBIHNmzdLycs3btzA3t7+puoOsQy1rKyM8+fP39SLpf5HDDXeDwRBoLS0lO+++47g4GAmTpyImZlZ27xuw13RNkPuEWLGv0ajue2nNXT5lMlk2NraMmHCBHQ6HbGxsaSnp9OzZ0/Mzc1ve9zly5c5duwY5eXlODo63hSe+LNBEmOu95NrMXDgQGxtbUlOTubbb7/F0NDwlu6QcrkcNzc3OnbsSHl5OatWrWL58uVcu3YNlUqFSqWiqKiIqKgo9u/f3+LeCrVaza5du/j6668xMzNj1qxZDBky5KHVGR9kLFqtVmrxXVtbKzVau9txGo1G+r74qaurk5q0tWaI5OLFF1/k3XffJTc3l5UrV7Jv375bWp3fCR4eHjz33HMolUouX77Mrl27SEpKIiwsDHt7+1u+L963s2fP8uGHH1JYWMiLL77I4MGDcXNzk/rvPKjHQqFQ8Mwzz6BUKsnKymLPnj1kZGRQXFyMv7//TWEIhUKBg4MDKpWKo0ePkpSUdMu1iwT4l19+ua/wTHl5OV999RXW1taMGzcOCwuLJpvX4hyuq6ujurqayspKKioqKCsro7S0lJycHOLj4zl27NhNn4sXL1JaWnpT9VhVVZU0/1uz1s3jjLZQSD3caRJWVlZy4cKFW7Kq1Wq1FLdUKBTY2dnh4eFxR1bf1C8dhULBiBEjWL58OSqVCmdnZ8LDw+8YF62pqaGqqgqNRkNsbCxdunRBoVCQmprK8uXLb7o36enpODs7Y2ZmBvz/fbvd/VMoFLi6ujJ06FD++9//IggCgwYNkqpB6sPV1ZXnnnuOpKQkcnJyWLp0KWvXruXpp59GqVRy8OBBHBwcePfddzE2Nr6v+/Ln8T2M0REEgatXr7JgwQI0Gg3Tp0/nxRdflO5Jc0IQBC5evMjZs2dvInwBAQF07Njxtn1jampqSEhI4NKlSzf9TS6XY2VlxdChQ1v97lQc6yuvvEJeXh6rVq1ixYoVODk5ERYWdte1JuYBTZ48mVWrVlFSUsLcuXMJDw9nyZIlt9VJUalUHDx4kOjoaCZPnkxQUBDGxsZ3XQt3+xv8sV7s7e156aWXWLduHatXr2bq1KmoVCo8PDxuGrtcLqdjx46sWbOGuLg4/vWvf7Fw4UL8/f2l74lS/jk5OWi12rvmR4jEaevWrRgYGPDss8/i4ODQqHbrz/egrq6O9PR0jh8/TklJCadPn6akpITz58/fNCaR7IpjUSgUEokzNjbGw8ODsLAwgoOD8fLyokePHg3mx7SFcpoWTzyxECesuNsrLCwkISGBixcvkpmZSWZmJmlpaZJL/s87kfoLpL6UromJCe3atSMsLAx/f388PDzo3r07enp6KJVKlErlAzdUuhvkcjleXl6MGTOGbdu2ERwcjJOT0x0XU2BgIOHh4dy4cYPFixfz+++/Y25uTm5uLm+99RanT58mIyODxYsX06dPH2bNmoVMJiM6OhqtVktFRQWXLl2itLRUUpWsnzthYWHBsGHDWL16NaGhoXTp0qVBA2dubs748ePJysqStDjy8/OJjIxET08Pc3NzevfuzTPPPHPPCWSCIFBdXU1VVRXnzp2jrq6O8vJyEhIScHNzw9jY+LZqgw1Bq9VSUlLCa6+9RllZGSNGjGDGjBn3dY7GhPhca2trWbduHVeuXKGyspLOnTvz0Ucf0aNHj1tya+on+JWUlLBx40bS09MxNDTkvffee+gGdc0JUZTtjTfeoKioiF9++YX169fj4uKCjY3NXUWhZDIZbm5uPPPMM2zevJna2lpsbGxuS0xEb1VeXh4ajYbS0lKKioowMTEB/ggrXrhwAZ1Oh1arpaamBn19fckLeK8qmJMnT+bHH38kKSmJyMhI3n777Vueo5jDZGRkRE1NDdu2bSMjI4OXX34ZHx8f6urqiI+P58cff2TNmjX3JJBVXV3Ntm3byMrKYuzYsTg4ONzk/RLbqMfGxuLm5kbnzp3ves76x9bV1VFTU0NmZiYxMTHExsZy6tQpCgoKbkpA/fP/i1VB7u7uGBgYkJ6eTmFhoeTtKC0tpaSkhPj4+JsItpeXF71796Zv37506NABKysrDAwM0NfXfyjBsDbcHk8csRAnnEajkdxtFy9e5NixYxw/fpzExESqqqpQKpUoFAr09PSQy+VYW1tjZ2eHu7t7gwZXp9NRWFhIRkaGNNHT0tK4dOkSarUatVqNQqGgQ4cO9O7dm4iICAICAjA1NcXY2FiS2G4MYy6Xy7G0tGTcuHHk5OTQp0+fu57X09OT119/nfLycpKSksjOziY4OJg1a9ZQW1vL8OHD+e233/D39+evf/0rTk5O/P3vfycyMlLKizhy5AgLFy5kxowZhIaGSucWS+l8fHx48cUXad++/W29Onp6enh4ePDBBx8QHBzM+vXruX79OgCmpqbMmzePkSNH3rfi4vfff8/27dtJTU2V3NuLFy9my5YtvPLKK4wePfqeziMIAlVVVSxatIgzZ84QHh7OggULWjSnQiaTERgYiL+/P6NHj2bt2rV8/PHHxMbGsnTpUiwsLAgJCbmFFBsZGdGjRw+6deuGt7c37777LkuXLmXgwIGPXIKenp4erq6uTJ8+neTkZLZs2YKfnx9jx469a/KluO6mTJnCnj17MDc3Z+zYsTeR4z9DqVTi7OyMgYEBO3bswMjIiMGDB5OZmcmZM2ekBNK8vDx+/PFHXF1d6dWrF4Ck5yK2Ka+rq7ul+kkul+Pr68vw4cOJjIxEqVTSoUOHW3p4yGQyXF1dWbp0KQsWLKCwsJDTp09z+vRp6bpMTEyYNGmStLG5HcSQyZ49e9i8eTN9+/bl8uXLXL58WRqb2E9o3759WFpa8uGHH97xuYibrdraWqqqqiguLubAgQPs27ePmJgYtFotSqUSAwMDXF1dCQgIIDw8HDs7OwIDA3FxcZE2RXd6hhUVFVy7do3MzEzS09NJSkoiMTGRwsJCsrOz+f7771mzZg0WFhZ06dKFwYMH06dPHxwdHTExMZHs/KM051szZMITFITSaDQUFRWRnZ3N5cuXOXToEAcPHqSgoAAzMzOsrKywtrbGw8ODgIAA7O3t8fT0xNzcHG9v77vqEdTfjeTl5ZGWlkZOTg6pqamkpaWRn59PUVERRUVFqFQq7Ozs6NGjB7179yY8PBxnZ2ecnJwa5QUlvgDz8vJwcnK6625ap9Oh0+koLS0lPz8fMzMz7Ozs0NfXl5K4ysrKsLGxkbpxpqenU1NTI12zTCbD0NAQe3v7Bo15bW0tBQUFGBkZ3TU/QsxnKS8vp6CgAI1GIzVHEhPS7gdZWVmUl5dL1wl/GG+5XI6trW2DsfQ/Q1Qw/eWXX1iwYAEWFhasXLmS3r17t4qyUtGIp6am8ve//11SfZw8eTLvvPMOHh4eDb5YdDodycnJvPLKK2zfvh03N7e7GvLWisrKSn799Vf++c9/oq+vz5IlS4iIiLjr2tXpdNTU1PDyyy9TW1vLypUrcXV1va3HQhAEkpKS+Oc//ynlNdjb29O/f39mz57N3r17+eSTTzAxMWH48OFMnz4dfX19YmJi+Ne//kVeXh56enr07t2byZMn06VLl5tyc8TNye+//84HH3zAnDlzGD9+fIO2QavVUl5eztatW/nhhx/Izc2loqICIyMjrKyseOaZZ3jrrbfu6oWqrq5m9+7dLFu2jKtXryKXyxvsjQJ/hCznzJnDs88+e1vPqziujIwMTpw4QXR0NEePHkWr1WJvby8RiaCgICl0YWJiIq3L+t6K+mjIY1y/QZu4xnU6HSqVisTERE6fPk1CQgJZWVmSDTY3N6dv374MGDBAIjFWVlaPjKeuNeOxJhbi4qyuriYrK4uLFy9y+vRpYmJiSE5OxtLSEldXV9zd3fH19SU0NJTQ0FCcnZ0lQ/SgZVri79ef7Ddu3CA+Pp6EhAQuXLhAdnY2eXl5FBYWEhQURNeuXenTpw+enp64ublhZmbWIjtHsSb+Xr7XEBp7vPc6nns5T0O412sVBIHo6Gjee+89CgsLWbBgAa+++mqThbQeFOnp6SxcuJD9+/ejVqvRaDS89dZbkrDRnw2nIAgkJyfz17/+lb17994TyWqtEN30y5YtY8WKFQwZMoSPPvrotloUIkRbkZCQQGFhIf369bttabaIuro6rl27xokTJygpKZHWsLGxMaWlpURGRmJra0uvXr2wtrYmKyuLw4cPS+57+GPuubu7M3jw4AZLVFUqFVu2bKFfv363JTr1x5OVlcWJEyfIzs7G2toaPz8/unTpck+t2isrK9m1axdZWVl3Tc52cXFpsEuyGP4pKiri/PnzxMXFsW/fPs6fP4+lpSVeXl4EBQXRs2dPevToIenqNBWRFa9Bp9NRXV1Neno68fHxnDx5kpSUFK5cuUJZWRlPPfUUvXv3pmfPnvj7+2NjYyOR8EeRYLc0HltiIcZB4+PjOXz4MMeOHeP06dPI5XL8/PwIDg6mU6dOhIaG0r59e/T19W9iySIedlLVv7315YIrKyvJyMjg8uXLnDt3jrNnz5KYmIhGoyEsLIynnnqKAQMGEB4efl+iP21oGuh0OgoKCpg/fz47duxgxowZLFiwACMjo1a3wxGJRXl5uZTwqlQq+fTTT5kwYYI010U8TsRCXG/Jycn885//JCYmhr/97W/MmjVLyoG407H11+vdnmv9TYMgCDe9IEWi8mfRKrFyTIT499u54evnbd3PeOofc68ufnHM95IHUt+bUT9MUlVVxeHDh9m3bx+HDh3ixo0b+Pj40K1bN7p370737t2lviv1N01Nbd/+vMmrra0lLS2NU6dOkZCQQFxcHKmpqbi5udG/f38GDRpEjx497lvNtQ1/4LHKsRAnTl1dHUlJSezZs4fY2FiSkpLQ09OjV69eRERE0KFDBwIDA6VJ05STuv656++YlEollpaWhIaGMmTIEC5cuEBSUhJxcXEcOnSIc+fOcfToUfr06cOAAQMICgrCxMSkLdmohVBXV8eePXs4duyY1I31XoWYWgrBwcH069ePjIwMkpOT+eqrr7CxsWHYsGGPbKjjbhCvycfHh4kTJ3Lp0iW+/fZb+vfvT4cOHe7oAbzfe1I/wbChv90uh+h+ICYtPux47vX4+x2f+KKurq4mLi6OvXv3cvjwYTIyMvD39+f555+nZ8+ehIeHS4m0LTHv6j9bhUKBvr4+HTp0IDg4WMpLOXLkCFFRUWzYsIETJ07Qs2dPhg8fTufOnTEyMmqzvfcBxUcfffRRSw+isSAIAllZWfznP//h66+/ZufOnZSUlDBs2DBmzZrFhAkTiIiIwNPTU9pptqRxFY2AgYEBLi4uhIWF0aVLFylJ69SpU0RHRxMXF0d+fj5+fn53TURrQ9MgISGB5cuXk5OTw7x58+jates9uZdbAiUlJURHR2Nvb8/YsWMxNTXl9OnTUrVCfRe0iPz8fLZv386ECRPuurN/FKBQKHB2diY7O5vjx49TUFDAwIEDW+0ze1QhtgH4+uuvWbFiBfv27cPCwoKZM2cybdo0hg0bJiWpt7S9/TNEsmFqaoq3tzddunShY8eOODs7S/1XTp8+TUFBAcHBwc2uT/Mo47EgFmq1mpKSEnbv3s2nn37Knj17yM/PZ/z48cyfP5/nnnuOoKAgSWNALC8VP6LbUPyIpaf1/1v/u2LMv7EmWf2dhqmpKR4eHoSHh9OlSxdkMhmJiYmcPXuWY8eOSb0L4NbS1zY0PsSY/fr169myZQsvvvgiL730EpaWlq3WRSoSC1tbW/r374+Hhwf6+vqcPHlSSiqOiIi4Kab/uBELmewPJVdXV1eOHz9OXFwcDg4OdOjQoW3dNAI0Gg1lZWXs3buXzz77jH379lFdXc20adOYN28effv2xcPDQ6qWaq0esvq219DQEGdnZ0JCQujRowfW1tacOnWK06dPc/z4cUxNTWnXrl2jVe89zngsQiHJycl88cUXREVFUVxcTP/+/Vm4cCGBgYEYGxtTVFTExo0biYuLa/B4Ozs7xowZQ2hoKAqFgqioKPbu3YtKpbol1qhUKhk+fDgDBw5sksklCva4u7vj4uJCr169OHfuHIsXL+bIkSMkJCQwYsQI5s2bJ03yNjQdtFotcXFxREZG4uTkxPPPPy/FiB8VWFpaMn36dHJycli+fDlRUVG88847/PDDDxgaGrb08JoMMpkMb29vXnvtNV5//XW++uorhgwZgqura0sP7ZHH9evX+fe//80vv/xCfn4+ffv2ZeHChYSGht53KXhrgUhGbWxssLa2Jjg4mAEDBvDpp59y+PBhkpKSeOGFF3jzzTdvEiprQwMQHkHodDpBq9UK5eXlwrZt24TOnTsLZmZmQkhIiLBu3TqhqKhIqK2tFbRaraDT6YSqqiohNTVV2L59u9C3b1/B1NRUMDExESwtLYXVq1cLCQkJQlFRkaDT6QRBEITs7Gzh6NGjwvTp0wVLS0vByMhIcHR0FGbNmiVERUUJN27cELRabbNda21trVBSUiKsWLFCcHV1FSwtLYWQkBBh48aNQmVlpTTuNjQ+srOzhdmzZws2NjbC4sWLhdLS0pYe0l1x5coVYfz48cLHH38szQ2NRiPk5+cLAwYMEPT19QV7e3vh448/FkpLSwWdTickJiYKHTt2FPLy8ho8p06nEzQajaDRaB6p+abVaoXq6mrh+eefF6ytrYV33nlHqKqqeqSuoTWhtrZWSEpKEoYOHSqYmpoKrq6uwieffCJkZ2dLNvdxgWh7VSqV8D//8z9Cu3btBEtLS2Ho0KFCTEyMUFVV1dJDbLV45IiFTqcT1Gq1kJ2dLXz22WeCvb294ODgIEyaNElITk6WyERDx+l0OmHLli2Cr6+vYGRkJLz11ltCTU1Ng9/XaDRCXl6eYG1tLejp6Qnh4eFCVlZWiy0c0bCnpKQIY8aMEWxtbQU3Nzdh0aJFQm5urqBWq9uMZSNDq9UK0dHRgru7u9C/f38hNjZWUKvVLT2su6I+sagPrVYrXLp0SXBxcRGUSqUQEBAgbNq0SaipqRHOnTt3C7GoT+AvXrwoHDx4UIiKihKuXbsmVFdXPzLzTa1WC2fOnBGcnJyE4OBg4dSpU4/VC7A5oNPphJqaGuHYsWNC9+7dBUtLS+Hpp58Wdu/efVsb+ufjtVqtoNFoBLVaLX00Gs0tNlur1Qo1NTVCdXW1UFVVJX2qq6uFmpoaoa6urlnnnmh74+LihIiICMHS0lIICwsTfvrpJ6G0tLRtLjWARyoUIvxfxUdiYiJfffUV+/fvp3379kyYMIGxY8diZWV121ieWAJmaGgoiRndTdHN0NBQ+puBgQH29vYt5uIT43o+Pj6sWLGCdevWsW7dOpYvX86VK1eYPn06ISEhN425DQ8OUbZ7586dVFRU0Lt3b0JDQx+pEMifIZPJ8PDwYO3atbz55pukpaXx3//+FxsbmwZ7nOh0Okk5cuPGjZKwm62tLfPmzWPMmDGPREKbXC4nMDCQkSNHsmnTJjZt2kRQUFCrr+ppLRAEgfLycg4ePMjChQspKipi9OjRzJ49Gz8/v3sSDqyurqagoIDs7GxJqA7+UNN1cnLCxsZGqtJTqVTEx8ejUqm4du2a9F1ra2vc3d2xtbWVBAubA6LtDQ0NZfXq1XzzzTfs3LmTDz74gIyMDCZMmICLi8sjbRsaG48MsRBrj2NiYiS1u4iICKZMmcKAAQPuqU9D/QTNuyUT/fk793JMU0MsB7OysmLq1Kl4enqycuVKduzYQW6QBO6rAAAgAElEQVRuLm+88QYREREYGhq2TfKHhE6nIy0tjV27duHj40Pv3r3vu+lZa4MYQ+7ZsyfvvvsuCxcu5MSJE3z99deMGDHilm6QNTU1HD58mNjYWPr27YuJiQmXL1/m+PHjzJs3D09PT/r06dPqy/DE63755Zf5+eefiY2N5eLFi4SGht53eeWTBOH/yvcLCgrYuXMnixcvpq6ujrFjxzJ79uz7yvESWyccPHiQ7777jtLSUkkG/cUXXyQwMFCqHBH7ieTn5/Pdd9+RkJCAQqFg1KhRzJgxQyKzQiMJ590LZDIZSqUSHx8f5s6di4eHBz/++CPLli1DpVIxbdo0XF1d2xKD/w+PzKoqLy9n3759LFmyhIyMDF566SVmzpyJn5/fE/cSFUukhg4dirOzM99//z27d+/m448/5q233pJkdp+0+9KYUKvVbN++nbKyMoYMGUJISEhLD6lRIPaOGDx4MGlpaaxdu5Z9+/ZRVFREXl7eTeJNpaWlqFQq3njjDbp164aenh4VFRUsW7aMlStXEh0dTc+ePVu9MRV3nL6+vgwYMIDY2FgOHDiAj49Pi3SjfVSg0+nIzMyUvKOGhobMnj2biRMnYmdnd8/PXCaTSXLn3bt359KlS/z++++4uLgwZcoU+vbte1NfFgsLC/r160dFRQWVlZWkpKRgaWnJoEGD6N69e4tWmchkMhwcHJg8eTKurq588803rFmzhrKyMmbPno23t3erXw/NgVZPLMSudVu2bGHlypXk5eUxdepUXnvtNVxdXVt0tyTUU7lLT08nLS2N8vJyDA0NcXNzkwxXUywCuVyOkZERnTt3xtbWFgsLC3788Uc+++wzampqGDlyJIaGhq1+N9kaIfZM2bp1K46Ojjz77LMNtnh/VCEa+okTJ5Kens6WLVs4efKk1BdGhEKhICgoiPDwcMkjqKenR//+/Vm1atUjVVEik8kwMjJiwoQJxMXFcfjwYQYPHkyHDh1aemitDqJdS05OZu3atWzbtg07Oztmz54tNQC8302L6G01MjKia9euREVFYWxsjLOz8y19dkRRMD09PQwMDCRbJwoEtvRLW6FQYGFhwTPPPIOZmRlLlixh8+bNlJaWMn/+fPz8/FrFOFsSrZ5YlJeXs2nTJr755hvKy8t5++23efnll7G1tW3xBycIAkVFRaxevRpzc3NsbW0pKSkhKiqK69evM2LECCZNmnRf7P5+oVAo8PLyYubMmVhZWfHVV1/xySefUFhYyLRp09rkwO8Twv/JGovN6UaOHCnt1h8nKBQK2rdvz6xZs8jJySE2NvaW0mobGxtMTExuIRA6nQ59fX169OjxSBlQfX19wsPD6devH3v37uXs2bNtxKIBaLVaLl26xP/8z/+wY8cOOnXqxNtvv02fPn2kF/2DQiaTPTYifyYmJvTr1w8zMzMWLVrEzp07qa2t5ZNPPsHX1/eJ3tS1Wl+5VquloqKC3bt3s2LFCtRqNe+//z4TJ07E1tb2odxNIiNXq9VUV1dTWVl5y6eqqora2tpb4s4iRF38N998E2NjY4YNG8bAgQMZNWoUL7/8MkqlkpUrV/Ldd99RXl7+sLfjthDdvC4uLrz66qvMmzeP0tJSVqxYwdq1ayVRrzbcG8QE4Q0bNmBubs6gQYMeiQRFkRDV1tZSUVFBcXExpaWlFBcXU1tbK/WAECHuCjt27Mg777xDQEDALTtHfX39Bl8C8fHxdOvWjU6dOj1S4Ta5XI6NjQ39+/enurqac+fOUVBQ0LY+/g+iXczKymLNmjXs37+fiIgIFi5c2Cik4s+425rS09O7a+M1cdxqtRqVSkV5eTllZWWoVCpqamqa9NmKeRddunRh8eLFdOrUicOHD/Ovf/2LzMzMJ3petdptWE1NDfv372fRokXk5eWxcOFCxo8f32jiK1qtlo0bN3Lp0qUGF4sgCGg0mpvagteHRqNhx44dZGdn88UXX2BnZyftavv160dMTAxnzpzhs88+Y8SIEU3uSlcoFNja2jJ16lQpBvjNN99gY2PDCy+8cNdOjW34A4IgcPbsWc6cOUP79u15+umnWz2pEJGTk8POnTvZt28f0dHRxMbGUlxcTK9evXjuueewsbG55VqMjY0ZNGgQN27cYPHixXfN7i8pKeG7775j5cqVUovrRwWi+Jy3tzf+/v4kJCRw+fJlunbt+khdR1NCpVKxbds2vv32W7p3787cuXPp2LEjBgYGzT4WMQRytzmpVqs5deoUX3/9NadOnUKj0eDu7s64ceOYMWNGk9o+cU4FBwezevVqJkyYwI4dOzA1NeUf//gHlpaWj4z9aEy0OmIhehISEhKkDo1i+KMxFd0UCgURERGMGzeuQTe3TqejpqaGHTt2oFarb/l7ZWUl69evJyUlhXfffVeSroU/SEdKSgqmpqYIgsCVK1fw8fFp8gkmk8kwNjZm5MiR5Obm8sknn/DFF19gbm7O0KFDpU6Hbbg9dDodkZGRqNVqhg4d+kjlVshkMgwNDRk2bBiDBg1CoVBInzt5+MSKibq6OkxNTRv8jujJ+cc//sFHH330yHkr6sPNzY1evXrxww8/cPHiRcLDw5utdLE1o6amhoMHD/LFF1/g4eHBjBkz6Ny5c5O59FUqFVevXiUoKOiBjhcEAZVKxfr164mNjeWtt94iMDCQuLg45s6dy4cffsiePXuIjIy8yT43BeRyOe7u7vznP/9h/PjxbNmyBRsbG958881HyoY0FlolscjMzOSdd94hJyeHSZMm8dprrzUq8xPDB+3ataNz584NGhWxtblSqaSqquqWv1+5coXi4mKCgoKYOXPmTd3v/uxydnd3b5Rx3wvkcjlKpZJJkyZRVFTEsmXLWLp0KdbW1nTp0qXNc3EHiPX6e/bsQaFQ8Nxzz90SHmitkMlkuLi4MGnSpNv+/U7HGhkZMWvWrAa/J5KKn376iZCQEIYMGfJIJW7+GVZWVnTp0oXt27dz9OhR+vXrh6enZ0sPq8UghkASEhJ47733MDIyYsaMGQwaNKjJCJfoEa6qqqKiogK5XI5Wq70pZFdXV0d5eXmDHmNxzDExMWzYsIHly5cTGhqKTCajb9++LFq0iGnTpnH06FFWrVrFG2+80eTEQqlU4ufnx5IlS5g3bx7r1q3D09OTl1566a5aH48bWhWx0Ol0FBQU8Mknn5CamsqIESN44403sLKyatLfvd0Dv9NEKCgooKqqCiMjI/z8/DA1Nb1tgl9zlx/JZDLMzc2ZPn06ZWVlbN++nZUrV2Jra4uvr+8TNcHvBxqNhv3796NSqejUqRP+/v6P3K78YZ7t7Y5VqVScPXsWuVzOc889h6Gh4U05HY9a0zKFQkFgYCDBwcEcP36crKysJ7rvjlarJTU1lblz51JdXc2rr77KuHHjmpQ8CoJARUUFUVFRlJaWIpfLyc/Pp7CwUMpNUKvV5OTk3NQ0UoROp6OiooIVK1bg6emJg4MDFRUVCIJATU0Nzs7OKBQK1Go1//3vf5k6dWqzbBIMDAzo1asXc+bM4R//+AebNm2SOqc+ymT8ftFqiIW4W1y9ejXbt2+na9euzJo1Czc3txarV74TRPGYhIQEbty4gb+//y0uQ9FVJ5ZZNRfExDxnZ2dmzpxJUVER+/fvJzQ0lGnTpmFubv7IvTCbGuIO6ujRo6jVap599tknvh5d9NodPXqUlJQU+vbtiyAIkvHPyMhAqVTSsWPHlh7qfUH0Vvr6+rJv3z6uXLlCly5dMDAweOKet1ar5dq1a7z//vucP3+ekSNHMnny5GbJDVAoFNjb20s2/s/N4TQaDRcuXGD//v0UFRVRXFws/U0QBK5evcqZM2fo27cvCQkJGBgYSHlA+fn5eHt7Y2dnh729PaWlpbcN8zUm5HI55ubmDB48mNTUVDZt2sT333+Ps7Mznp6eLS6y2FxoNcRCp9Oxfft2/vOf/+Dq6sqcOXPo0KFDqy3ZsbCwQKlUUltby5IlS6QEzvqTRq1Wc+jQIcLCwu4pu7mxIZYUTpw4katXr/LTTz/h5eXFM88888irSDYFSktLSUlJQS6X06tXryfCANwJFRUV7N+/nzVr1qBUKklLS7tJibagoID58+c3qwJiY0DMRfH09MTS0pJz587xzDPPtIoS9uaEIAjk5uaydOlSDh48SN++fXn77bdxcXFplnwwExMTOnbsyMCBAxv8PbVaLWlXiJV69cd+8eJFBEHAwMAAMzMzKcHU3NwcNzc3wsLCEAQBpVKJtbV1sz5bJycnye7u2rWLwMBAJk+e/NiU2t4NrYJYaLVazp8/z+rVq6murmbBggX079+/VdXI/znO1759e6ysrBAEgZ9//hkrKyveeOMNXFxcpO9nZGRw8ODBFquVF8uhunfvzsSJE/n3v//NsmXLCAgIkNz8reX+tgZcunSJwsJC3NzcpN3Fkwox1ykqKoqKigrUajW5ubnSPVEoFHTo0OGRzU2QyWR4enri4uJCUlISFRUVWFtbPzGePDFvZuvWrWzbtg0vLy/mzp1L+/btm02zpb4QVkNrTafT3dFGiaXCxsbGhIeH33Gz1BKbOn9/f1566SVSU1P57rvvCAkJ4emnn34i5lirIBZlZWV8++23pKam8vzzzzNu3LhW1yBIq9VSWVmJubk5MpkMKysrRo4cSXJyMgUFBaxevZqLFy8SHByMpaUlOTk5pKWl0b179xbXQbCwsGD06NEkJyezefNm1qxZw6effvpEun7vhOTkZMrKyvjLX/7yxN8bmeyPJn1TpkxBp9PdQqzlcjlWVlbSengUIRKLuLg4iVA+KdBqtZw5c4aff/4ZlUrFl19+SadOnVqth7ghGBkZodFoSEtLo7KyskExQJFAtVS5bEREBKNHj2bFihUsXbqUbt26PREVSC1KncTM3t9++43ffvsNR0dH3nvvPanLXWP+Rm1tLSUlJcTHx1NYWCjpUBQXF1NdXX1TNrJaraaqqorLly9TW1uLTqejrKyMhIQEqqqqUKvVyGQyxowZw/jx4zExMUGtVhMdHc3atWv55ptv2LRpE4IgMGzYsBbvRyCXy7Gzs+OVV17B29ubyMhIjhw5glarbdFxtRaIcyQpKYmysrJHTlGyKSCTybC1taVTp0506dKFrl273vTp3Lkz7du3f6R3Xw4ODrRr1w61Ws25c+eeqPVQWFjI+vXruXz5Mi+88AKDBg1qtgooX1/fRpk3np6e6HQ6rl69SkxMzC0icKJ0QVRUFAUFBQ/9ew8CMzMzJkyYQEBAAKdOneLnn3+mtra2wUqXxwktTiyysrKIjIwkPT2dd955B29v70ZlzWJ3vrVr1/Lss8/y+eefU1BQQG1tLSdPnqRnz54sXLiQxMREKRv54MGDzJ49m1GjRqFSqaTJO3HiRCZMmMDvv/8O/CF5vHDhQpYvX467uztarZby8nJKSkro3bs3n376KZ06dWoVJZ4ymYzQ0FDGjRtHbW0t7777LjU1NS09rFYBQRDIy8uT1PK6dOnyyJSZNjXqd/X98+dRh1KpJCAgADMzM06dOtWgXs3jin379rF3715cXV2ZPXt2s8X+xQaKDxuGlclkhIeHA3Dt2jXWrl1LamrqTWqXoobQr7/+ioWFxUOP/UGgp6eHi4sLU6dOxcjIiCVLljwRqpwtGgqpqakhMjKSkydPMmTIEJ5++ulGN+hi6WX//v0JCwuTmoaJfxPV3dzd3aXfDQkJwdbWlsmTJ0tuYNGY6uvr4+bmJi0Mc3Nzxo4dy7PPPsuVK1eoq6vD0dEROzs7DAwMWlWPCaVSyauvvkpkZCSJiYmsXLmSOXPmoFQqH4sXxYNCEARycnJQqVT4+PhgYWHxRN+PJwVyuZyAgAAsLS1JSUl5IjwWWq2WnJwcYmJiKC4u5v3338fLy6vZQiD1Gzdqtdqb7OudjgGk40ShP1NTU+bOncvHH39MdHQ0b775Jm+88QYdOnTA0NCQc+fOMWHCBL777rsWDfHI5XKGDx/Orl272LFjB19++SVff/31Y53j1mJvPUEQOHfuHL/++itGRkZMnz4de3v7RnetiuI/fn5+93yMi4uLlIR5N8jlcgwMDDAwMKBz584POsxmgUKhwMTEhIULF/Lyyy+zbt06hg4dSlBQUItP8IZcg801JrE/QkVFBX5+fq3Cw9SGpodcLsfDwwMTExMuXbqERqNp8t9syXkOf4hO/f777xw6dIj+/fvTu3fvZinDhD+uvba2luPHj98UXh44cCAGBgY3hR9F8az8/HyJSKSnp3Pt2jXs7OwwMTHBwMCAV155hUOHDnHy5EkOHDjAgQMHgP9vdjZmzBh69+7dovZNlP2eN28ee/bsYf/+/SQnJ9OhQ4dWtfFsTCg++uijj5r7R8UGXtu3b2fz5s2MHj2aUaNGte0UmwkuLi6kpqZy9uxZZDIZTz/9dIvlFIj6EWVlZRQXF1NSUkJtbS0ymazZwhGifsXhw4d56qmniIiIeKLEbJ5k6Ovrs337di5evMiECRMa7KfSGBBtXlFREQUFBZSUlEihyOZUZbxy5QqrVq0iJyeHmTNn0rVr1yYn0uIaLygo4MyZM/zyyy8oFApMTU3R6XRYWVmhp6eHsbExenp6UkXd2bNn2bVrFwYGBjg5OVFWVkZ5eTmlpaW0a9cOfX19jIyM6NWrF6amptTU1GBpaYmNjQ3e3t68/PLLLFiwACMjo1bhHbCwsCA3N5eEhAS0Wi09e/Z8bO1Mi9AlnU7H5cuX2b9/P9bW1vTr1w9HR8dHOhHsUYEYzpkyZQq7d+/myJEjpKamEhAQ0GTuQtH9KXasLSwsRKVSUV1dTUlJCeXl5WRkZEjhCFE0x9HRESsrK4yNjTEzM8PExARHR0eUSqU01sYwFoIgkJ+fT3V1NZ6enk9E1nYb/l/PwtHRET09PdLS0iRl2geZV6Jonlarpaamhry8PCoqKigtLaWiooLr169z9epV8vLy0Ol00jz39vbG1NQUCwsLzM3NpR353Xq83O/Y6urqOHPmDMePH+cvf/kLvXv3brYXW21tLenp6Wg0GmbOnCn9u6GhIXZ2dlIvD9GjY2xsLJXF14cYvhbJkL6+Pt7e3rz33nuMHTuW69evU1dXh7e3N56enq0mV0osrZ02bRp79uwhJiaGxMTEFvemNBVahFhUVlYSExPD+fPnGT58OGFhYW2kopkgTvCOHTsydOhQDhw4QGRkJG+//XaTVa9otVpSUlKIj48nPj6eq1evUlBQQHl5OdnZ2VKWdP3cF9GA2NraYmlpib29PTY2NgQHBxMeHk54eDiOjo6Nsiirq6vJzc1FrVbj4eHx2Lon29Aw3N3dMTQ0JC0tDa1W+8AEW6fTkZaWRlJSEgkJCVy8eJH8/Hyys7MlD0X90l1xniuVSqysrHBycsLBwYH27dvToUMHQkJCCA4ObhRvok6n48aNG/z6668YGxvTp08fXFxcmsXuimJY3bp1u20oSFzvIhwdHe9YOfFn8id2rfXy8gL+v41Ca3ppy+VyvLy8GDJkCJs3b+b333+na9euj2Vpe7NbUFESeM+ePdjZ2TFw4EAcHR2bexhPNERyIVa4HD16lOeff56wsLBG/R3RBXr69Gk+//xzzp8/T25uLvb29ri7u2NhYXGLjG9DYwUoLy8nPj6evXv34u/vz6BBg5g0aZLU4+FhFqbonrawsMDGxqaN5D5hcHNzw8jIiLS0tHtKJvwzNBoNWVlZHDhwgOjoaFJSUsjNzaV9+/aYmpri6+t7T+WFMpmMkpISNmzYwK5du/Dz8yMiIoJhw4bh7e39UJ40tVpNUlISJ06coGvXrnTq1KlZCbRoc+7n+/fzDO73/C0BkUSOHj2aHTt2EBcXx5UrVxpsB/Goo1mJhegmTE9P5/Tp0wwZMoSePXu2uZ5bAHK5nKCgICIiIjh69CgnT55sdGKh0+k4duwY77//PsnJyTz11FO89tprdOjQAVtb2/sybDU1NWRlZREdHc2hQ4dYtWoVtbW1ktrpwxALlUqFSqXCxcWlxcXM2tD8cHNzw9DQkJycnAcqA8zMzGTZsmXs2LEDW1tbya45Ozvfd6ihtraW8+fPs337dvbt20dsbCynT59mwYIFBAcHP/DcrKysZOvWrcjlcnr27HlXQt+GxodIfgICAujXrx+nTp3i1KlTtG/fvo1YPAwEQaCqqoqoqCgMDQ3p3Llzk1SCtOHukMvlWFtb88ILL7B7924SEhIoLi7G0tKyUZ6HTqcjMTGR999/n/j4eIYMGcJHH32Eu7s7ZmZmD/QboaGhdOrUiR49ejB//nx++uknrK2tmTJlCra2tg881pqaGmpqajAxMWkLgzyBMDMzQ6FQUFJSIuVJ3A+uXbvGiRMnsLW15eOPPyYsLEyya/dLBARBwM/Pj65duzJq1Ci+/PJL4uLiuHDhwgNVb4khxhs3brBv3z7ppdYSSpRt+H/5g7/85S8cOHCA+Ph4hg0bhr29fUsPrVHRrG90nU6HSqXi119/xcPDgx49erSRihaCWALl6+tLaGgoly9f5tKlS40m3KLVaklMTOTy5cvodDp69OiBr6/vQ3VW1dPTw8nJCXt7eyoqKigvL0ej0Tw0GRCJhb6+fqvIHm9D80F0T8vlcsrKyh5IEbGurg6NRkNwcDChoaHY29s/cF6ETCbD2NgYb29vnn32Wfr16ye1An8QiOHIX375BY1GQ9euXfH3928j0C0IfX19fH198fX1JSEhgcuXLz92SpzNTiyio6PJy8vDz8+PwMDA5vz5NjQAe3t7IiIiuHTpklQG1RiQy+WEhITwl7/8BaVSSUxMDJGRkaSlpVFeXk5VVRW1tbVoNJoGe1GIEA1jZWUlpaWlnDx5krVr11JWVkbHjh3p27fvQ9fhi7s6c3PzJgvLiU28Nm7cyMCBA/Hy8mLq1KnExMRQXV1934ROrVZTUlLC5s2befbZZ/Hz88PX15ehQ4fy3//+l9zcXOrq6m46RqfTUV1dzZEjR5g6dSr+/v7Y2toSERHB8uXLuXHjxhOlPinC0tIShUJBdXX1Axl4sZFWSkoKS5cuZc2aNWRmZqJSqaipqUGtVt8kBnU7iK0Ebty4waZNm/j88885e/Ysenp6DzwvBUFArVazd+9ebGxs6Nmz52Pndn/UIJfLcXJyomvXrqSkpEgbuseJXDQrbdXpdGzduhUTE5NmLXVqw+1haWlJjx49+Pnnnzlz5gzPPPMMHh4eD31ehUJBeHg4K1eupF27dqxatYqDBw+iUCgICgqid+/eBAYGYmpqipOTk6RmqqenJwniKBQKBEEgISGBH3/8kejoaHJycqQM87lz59KzZ8+HHmtFRQUqleqWzPTGgtgp9F//+hc5OTl8+OGH+Pv7s2PHDiZMmMDChQvvq/GeWOc/f/58SktLmTlzJkOHDkUul3PkyBG++OILdu/ezeeff46fnx8ymUwSJ/rhhx/44IMPUCgU0gvx9OnTxMbGsmbNGr7//ntCQkKa3JOo0Wioq6u7Y0fK5oJY1llYWPhAxt3b25tx48bxww8/sHr1aqqqqjAwMGDYsGFERETg4OCAkZER7dq1k7R6xHLJ+notaWlpbNiwgU2bNlFUVISJiQmjRo1i9OjRdOjQ4YFLYBMTE0lPTycoKIjOnTu3eeRaGGK1W3h4OFqtlqSkJAoLC7Gzs3tsnk2zEQsxDHLkyBGcnJzo1q1bG3NuBZDL5bi7uxMQEMDZs2fJzMxsFGIhQk9Pj7lz5zJy5Eg2btzImTNnyM7OZtOmTeh0OmQyGRUVFeh0OhQKBY6OjlhaWmJsbIyDgwOGhoakp6dz5coV7O3t6datGwMHDmTo0KEPlVdRH2JcXcyxaMzFrdVqKS0tZcOGDURHRzN//ny6deuGTCZj/PjxREVFsWDBAuzt7Rk0aNBd5dV1Oh2VlZV8//33nDp1iuXLl0vHAURERKBWq5k0aRKrV69m4cKFUhnxsWPH2LhxI59//jl9+vTB2tqaGzdusGbNGjZs2EBKSgpvv/02GzZswNbWtsnWp0ajISkpiaSkJF566aUWb/hmbW0tCTM9iMfG3d2d6dOnM2rUKLZv305UVBTXrl3j1KlTHD9+HJlMRk1NDbW1tcAfZCIgIEAiGG5ubhgYGFBeXk5WVhbe3t706dOH7t27M2XKFPT09B54XgqCwK+//opcLqdr165YWVnd9zna0PgQVV+DgoJITU3lxo0bj1VFWrMQC9HVfPz4caqqqnB2dn7gZmPi4q+oqMDAwOCBs/jFl4lOp0Oj0UiL/HFhjPcKuVyOs7MzPj4+xMTEkJ2d/VC1/PUhZkErFAqCg4P5xz/+QXFxMUePHuXIkSMkJydjYmICILkCxRBJSUkJiYmJVFZWYm1tzeDBg3n11VebhJDW1dVRV1eHoaFho59bq9Vy/vx5vv/+ewICAm6pgpoxYwZ79+7lq6++Iiws7K7Z+oIgkJuby9WrVwkJCcHLy+smz5+BgQEODg64ubmRmZlJTk4OpqamyGQyoqKiWLJkCR07dpSu09zcnI8//hitVsu6deuIjY3lwIEDjBkzplHvQ/3xV1RUsGHDBtq3by8RypZE/dLGkpKS+375inPcxcWFmTNnMn36dE6ePMmJEydISkriwoULGBsbY2RkhL6+PrW1tVRVVUnzfe/evVRVVfHUU08xefJk+vTpI+mpPIw9EkWxfvvtN/T09JqkF1MbHhx2dnZ4enpy5swZcnJyCAwMfGxyX5rtKjQaDdHR0RgaGj5wT3ox3n7y5El+/fVXunXrxogRIx6YWFy/fp3z58+Tnp7O008/3aTqk60VMpkMKysrvLy80Ol0pKamUlFR8VBJlnf6LWtrawYNGkRdXR2nTp2ia9euvP7665iZmaHT6SgtLUWlUnH16lV+/PFHYmNj6d69O9OnTyc8PLxJGL1ILJoCarWan3/+mdC9tbEAACAASURBVIKCAnr06HFT9rdMJiMwMBBzc3NSU1PZt28fkydPvut81mg01NTUkJqaSn5+vtSYSYTYLhqQ/l0mkxEREXHLPRSTBSdPnszBgwdJT0/nxIkTvPDCC415G24a+8GDB9mxYwezZs1qkt94GDzs/BLJdNeuXfH19WXNmjXs37+fv/3tb0yZMgVDQ0NJjVOr1ZKXl8fSpUtJS0tjzJgxjBw5Ulp7D0sABEHgxo0bXL16FTs7Ozp37vzE2bfWDFF6/Pfffyc9PZ1evXo9NtU6zeaxqKqq4ujRoxgaGhIREfHA5ykoKOCzzz7j2LFjaLVann/++fs6h06n49KlSxw9epQTJ06QmJhIRUUFXl5et8jHNiVqa2vR6XQYGBi0qPtLjPG6u7vj4uLChQsXKC4ubhIVTnFnKLrCr169ypQpUyS5bkD6XXt7e7KyskhMTMTU1FSS520KGBgYoFQqH6jU8E4Q5/2vv/6KUqnEw8PjJu+CKCnt6+vLsWPHiIqKYtKkSXcUBxKb6pmYmJCens7PP/+Mt7e3pKJYW1tLZmYmVVVVBAYGYm9vL51vyJAhtz2nu7u75P27H+Mm3jONRnNTEy9xF1//RVZTU8OhQ4ekRNGamhqqq6ulyh5xsyF2sRQEQQpRiEm+4nwV54LocRSTjhUKxX333tBqtZIolrm5+T0fdzuIuTo1NTVcvHgRpVKJs7MzNjY2AJI0vSjr3aVLF8rKyqT71ViVSTqdjgsXLqDT6fD19cXa2vqxcbU/DjA2NsbLywtzc3POnz9PeXl5o8y/1oBmIxZZWVlkZ2djZ2dHSEjIAy0cnU7HunXrOHz48AMvPK1Wy9mzZ6WmOImJibi7uz/QuR4G8fHxVFVV0bt371ax2N3c3GjXrh0XL16kuLgYNze3JtvdZGVlSWEQHx+fBr1X5ubmuLm5NUtyn1KpRKlUolKpUKvVjUIuxBfu9evXyc/Px9bWFgcHh1uetVwux8XFBbVaTXZ2NoWFhRIZaAgymQxHR0fCwsLYvXs3W7duRRAE/v73v+Po6EhCQgJr1qyhT58+jBkz5p4b+4kvNIVCcV/rU6PRkJmZyYEDB4iNjaWsrAyZTEbnzp3p1asXPXv2RCaTUVpayvr161m9ejVpaWnU1dWxfv16Tpw4gYmJCcOHD+fFF19ErVZz4cIFNm3axODBg+nevTs3btzgl19+4ezZszg7OzN27Fhp911aWsru3bvZtWsXSqWSgQMHMnz4cCwtLe/5GioqKiRS1FgNuQRBQKVSkZGRgYuLS4M2Ri6XY2lpSZ8+fYiNjeXIkSNSWfbDrj1RjDApKQmZTEZoaGhbCKSVQaFQ4OnpiZOTEykpKVRUVLT0kBoNzRYKEdsS+/n5PVB5oFqt5tixYxw6dOih4rJiN099fX2cnZ3Zv39/s5b56HQ6ysvLiYmJQalUNkpVQ2PA1dUVLy8vzp07R05ODsHBwU1WellcXExhYSG+vr63TViqL9F75coVkpKSiIiIaBKdCWNjY4yNjamqqmrU1tmid0wQBExNTfHw8Lhl7HK5HB8fHwApt8TOzu625xS9HCNHjuTatWts2rSJyMhIUlJSWLBgAV9++SWdOnVi8uTJeHp63vfLVV9fn549e96V7IpVJgcPHmTx4sW0a9eOYcOGYW1tzZkzZ1i3bh07d+5kwYIFDBkyBGNjY/r164eFhQVLlizhwoUL9OjRg5EjR6JUKnFwcCAuLo6ffvqJ2NhYrl+/TmBgIM7Ozrz++utkZGRILbQzMjKYN28erq6ufPDBB5w9e5br16+jVqs5efIkGRkZzJkzBwsLi3u69rq6OgRBwNbWttHmluitysrKIiQkBAcHhwa/p6+vj42NDQqFgqKiImpqahrNHmm1WhISEpDJZISHhz/weUSP0OnTp4mLi0On09GhQwfCwsIeqERbzJO7fPky27dvJykpCSsrK/r27cvAgQOxsLBoNj2Z+5Vvb0zIZDKcnZ2xt7cnPj6e6urqFhlHU6BZtsqCIHDlyhU0Go3Exu/3Yebk5PDll18yevToey7Lawh6enqSW7KxmljdD8RdxM6dO6XmW60BZmZmuLu7o6enR0ZGRpPqGWi1WrRaLdbW1hgaGjb4DMRqlbCwMC5evEh0dDQajaZJ7pfoWi8vL280jwX8QSwKCwul3zAxMbklv0Fs0AT/3wztXn7f3d2d999/n1GjRqHRaDhx4oSUh/Lee+/h4+NzX7vvlJQUKisreeONN3B1db3ruhCvbf369Zw8eRIPDw9GjRrFwIEDef311+nTpw/nz59n6dKl1NXVYWBgQEBAAL1798ba2hqFQoGfnx99+/bl6aefxsjIiJ07d3Lo0CHOnj1LaWkpWVlZfPvtt7z11lv89ttvLFu2jP9l77zjoyqz//+ekt57MimkhzQSOkpwWSILIipiZe1dKbquKKu7/mR3dXHdta29K5aviiKiGECBBAgJkEICpJFGEtIzyaROptz7+8O9d0MPkEYy79crr12ZmTvP3Pvcc89znnM+x93dnR07dvDNN9/wwgsvkJiYyPr16/nll19YsGABtbW1pKamUlRU1O/fLgmtDWQzKEEQ5EZ7np6eZ3QWB4vOzk7Ky8tRKBRMmjTpvCKjUuTliSee4I477sDDw4Pg4GA+//xzVq5cSXl5+TkfTxRFsrOzuemmm9Bqtfz973/nxhtv5LPPPuO5555Dq9UOmFDfmdDr9XR3dw/695wOpVKJt7c3bm5uHDt2zOJYnA/l5eWYzWYiIiLOaYJLe6hfffUV48ePJzk5+YIzm6XPDqRTIYUeJe/+xP16yUuvrKzk5Zdf5uDBg/IDVto/7vvevoIpfdsxn0pIpW9b8vN9KKpUKrl98WA7FhJnOv8KhYKIiAhmzZqFnZ3doHYAdHJywsnJCYPBMGACYRL9vR4KhUK+hv19v7u7OytXriQ4OBi1Wk1zczNffvklX3/9tSw+djak+2vDhg3Y2Nhwxx139CtHQXKIxo8fz8SJE5kxY4asYGlnZyevkJubm6moqJA/03clKv23VHr31FNPsWbNGhITE1GpVJSVlfH444+TnJzMuHHjSE5OZuHChQiCwNatW1m4cCH33nsvwcHBxMbG8sgjj6BUKuX25P1BiryIooizs/OAzTGj0UhxcTFqtRpvb+9+b+kNlFMriiINDQ3o9Xq8vLzOqzRbkghYvXo1X3/9NV9++SWLFy9mwYIF3H///Rw9epSXX35Zbofe32NWVlayaNEiPD09efLJJwkPD2fmzJksXbqU7du388wzz8hRpMFCEAQ2bNhAbm7ugN/z/UWhUODo6ChH1qQOyyNlsXkhDGmOhSAIxMbGnlOYy2w2k56eTmFhIbfccsuA9bIYKARBoLu7m9bWVjkhzcrKCl9fXzw9PXFwcEClUskVF//85z/ZuHEjarWao0ePsmfPHnk15+HhIW+V1NfX4+TkREBAAJ2dndTU1FBXV4ebm5vcNRF+DZ+3tLRw9OhRjEYjkZGRsqTwuaBQKPD29sbR0ZFjx47R1dU1aPkNktEwm8309vai1+tPOV5RFGlra8NkMmFvb09vby9ms3nAHQzJidLpdAPuUPVnrJIxkQTC+oPUzG/VqlXce++9WFtb87e//Y36+npWr15NdXU1jz766Fl7EEhVGoWFhfz1r3/F19e3X3NHqVTi5ubGM888wzPPPHNcEqfU1E0S5uqPoZSiRi4uLtjb26NSqfjtb3+Lg4ODHHmxtrbG0dFRVnUNDQ09rlxZElc7VxXDrq4uTCYTTk5O1NfXY2tre8E2pr29ncLCQmxtbXF0dKS+vv60SbGNjY3o9XoUCgVNTU3U1tZecKKylLjZ09NDcHDweW0tGI1GfvrpJ7Zu3crixYuJiYmRbUJMTAzz5s3jpZdeIjQ0lPvvvx9XV9ezHrO3t5dHH30UtVrNgw8+KG972NjY8Jvf/AZvb28+/vhjFi1axJw5cwZF40SyK++//z5Lly4dsPL680GhUODh4YGDgwNVVVX09vaOipLTQf8FoijS09NDdXU1giAQEhJyTjdtY2MjP/74I9OnTz/vcN5gYTabyc3NZf369WzdupWZM2fi5ubGgQMHKC0tZfbs2Tz00ENyguL27dtxcnLC2dlZzt7PyMjAxsYGd3d32traOHToEBs2bGDv3r089thjzJkzh08//ZQNGzbI5/Chhx5ixYoViKLI1q1b+eyzz8jPz6e3t5dJkyaxZs0apkyZck4TVBRF2YAfOHCAjz76aFAqQ+DX6JXknX/++ednTLRLS0tDp9ORnZ19UlnlQNHc3ExDQ8OAJe5JSAp78L+I1olRLOkBAODo6EhgYOBZDakoihw6dIg///nPxMTEcP311+Pi4kJwcDBPPvkkJSUlfP755/j7+3P33XefdutQFEWqqqpYv349ixcvJikp6bzOgSAI6HQ6ampqqK2t5fDhw3z++ecXxcrLaDSydu1aamtrqampYeLEiQPyMJOcZoVCwXPPPcfzzz9/2oeX0WjEYDCgUqnIzMyUozgXgqRhAb9WPZ3PtWhoaGDdunXU1dXJ+U0SUlQqODiYjRs3cvnll5OYmHjGcZtMJvLy8tixYwfu7u5MnTr1OBtlY2PDFVdcQV5eHi+//DJTpkw5pyTc/qLT6fjyyy+prq4+p89JUecTq52k1yRn2s7O7pwcOW9vb5ydnY+LWFzsibZD4ljodDrMZjO2trb9FrSSkp9SU1Oxtrbm8ssvx8XFha6ursEecr/p7Ozk//2//8euXbv405/+xMqVK7G2tiY3N5ennnqKtWvXotFoWLp0Ka6urixfvpzCwkKys7M5dOgQv/nNb3jkkUewsbFBp9Px6quvsnbtWqqqqvDy8qKqqopt27bR29vL4sWL2b9/Pz///DMffPABXl5euLm5kZ2dzdSpU/H392f37t1kZGSwcuVKWRSnvygUCrq6uujt7aW8vJzXX3990Lx4g8FAR0cHDQ0NVFVVnfF7Ojo66OnpISUlhW3btg3KeAC5kmGg6silML8kqW0wGGhtbT3pfYIgyNngVlZWZ70/RFGktbWVjz76iOzsbJYuXYqvry9KpZI5c+bw1ltvsXLlSjIzM9m0aRNJSUnEx8efdI4FQaClpYWUlBQCAgK48sorz1kYStpGKC4uJj09neLiYtzd3ZkxYwZLlixhzZo153S84UCpVJKYmEhnZ+eA5vCYTCYKCgrQarVER0efsdLHYDBQXV3N0aNH8fDwICoqakDaHZSVlVFZWXnKpOH+kJeXx5EjRwCIiIg4bg5J21f+/v5s3LiR3NxcYmJiTrtlKUWz1q9fj8lkQqVSyTL+EgqFgvj4eOzs7MjIyCA/P5+kpKR+JRIbjUaam5tpaWnBaDTKpfwajUaOckvPok2bNvHuu+9SX1/PkSNHyM7Oxs7OjsDAQFxdXenp6aGxsZGKigoSExNxc3OjubmZAwcO0NjYiKurK5GRkQQFBWFjY0NrayuHDh3iwIEDKJVKQkJCmDRpUr9z+CSl4aamJstWyLnQ3d2NIAjnlMBkMBjIyclh3759LFiwgMDAwEEc4fnR29uLo6MjsbGxzJw5U879CAsLY/z48aSnp5OTk0NPT88Zw4SSlztr1iw8PDxYtWoVvb29NDc3s2jRIm666SasrKxobGxk0aJFHDlyhA0bNrBs2TJWrVqFh4cHer2eN998k5deeonc3FwaGxsJCgrq98pHpVIxadIk5syZQ0hICHPmzJHDzAONlA3u7e3NVVddhZub2ynHKYoiX331FZmZmdx9992Eh4cPqicfGRmJRqMZMIdKoVAQGBiIt7e3LPplNpvlLHopYlFVVYWdnR2RkZFnrUwwm80cOXKEw4cPM2XKFMaNGyefO7VaTWJiIk8//TSPP/44hw8f5vDhw8TExJz0m7RaLSkpKSgUCm6//fazKn6eiORU7N69mzfeeANXV1fuu+8+4uPjUavVlJaWnuPZGh7UajVLly7lvvvuG9Djtre38/TTT7Nv3z5WrlzJ3LlzT+vod3R0sH79el577TXmzp3LH/7wh9NWkfQXURT5v//7P9577z2WLVt2XjlKBQUFHD16FF9fX5ycnI77vEKhwNXVVc4POHjwIJ2dnWdULzYYDOzduxfgtJE5b29vrKysZCHEs1XNSRHxPXv2kJqaipeXFy4uLlRUVJCXl0dERAT33nsv4eHh9PT0cPDgQdLS0mhsbMRsNrNnzx60Wi2enp7MnTuX8vJyUlNTyc7OJjMzk08++QRra2s2b95MWlqavOWclJTEsmXLCAkJ4bPPPiMrKwudTidXgS1btoyHHnoIJyens9pgKysrVCoVnZ2dQ5K0OhQMScSio6MDURT7vSISRRGtVsu2bdsICQmRZZBHmifn6enJo48+ik6nY/LkyQDyqkdKxmtqaupXYpONjQ2zZs0iMDCQP//5z6jVasLDw+VENkEQ8PHxITY2loKCAgwGA/PmzZMTztRqNdHR0djY2NDT0yNrUfQXpVJJcHAwDz30EN3d3cTGxg5ak7i0tDT27NlDREQES5YsOa1mhiiKZGRkkJmZye23305cXNxFFSKUVC0XLlzIl19+SVVVFUaj8bjz2t7eTklJCa6uriQnJ581hCqKIl1dXXR0dODh4XHc1oVSqcTW1pa4uDhmz57NZ599Jt97EoIgoNfr2bt3L6Wlpdx8882EhISc9B3SZ05nFAVBoLq6mhdeeIHa2lqeffZZLr30UuDX0P6ZdDhOfG24S/4kHZOBxGg0yqJftra22Nvbn7EsU6VSYTAYiIiIwMvL64KdelEUSU5OxsvLi1mzZp1zwntXVxc1NTV0dnbKvUxOdCwcHR3lXK+KioozlspK4oZNTU0AhIeHn/J9Uo8as9lMUVHRWW2+0WgkKyuL559/Hnd3d26++WaCgoIoKysjNzeXt99+m/b2dl5//XW5q+iVV17J4cOH5YjIrFmzcHFxwcPDg8LCQmpra9m9ezf19fXk5uZia2tLQEAA999/P3V1daxbt46NGzfi7OzM9OnTUSqV3HbbbTg5ObFz507WrFnDxo0bSUpKYsaMGWd1LOzs7AZ8/g03Q+ZYmM3mfmVdS2GtgwcP0tjYyG233SbfZKeaZMPpbCgUCqZNmyb//66uLrKystiyZQs//vjjeScCSuqHTk5Op109q1Sq8+6TciaioqLkRMLhxmw2093djdlsHpTfOhRYWVlx7bXXsnnzZmpqauSkXPh17paUlAC/dsiUxKQkpLl9okGXHlRarfaUJWrW1ta4urrKoeq+19JkMrFr1y6ys7O5/vrriYyMPOnzRqORPXv2nFHPwmQyUVhYyP79+4mMjDxJMbDvQ0ZyVBQKBS4uLqPOiF4oLS0tchjd399/QLbjFAoFwcHBckTrXO4dyXk9Uymm5DTb29sjiiJ5eXnyivt0Nkt6DpwJKTlXEATy8/PPat97enrkEuU777yTkJAQ7OzsiI6OZu7cuWzbtk3WPrKzsyMsLAxRFHFxcUGtVhMaGkpiYqKsvCvlpuXk5FBfX09PTw9XXnml3Jixp6cHs9nM/v37KS4u5oorrmDRokVyRCcoKIiUlBRqa2vJy8vrV66bjY0NVlZWF1TVN9IYkqdHT08Poiji7u5+1vcKgkB9fT0vvfQSERERNDc3k5eXR15eHvn5+Rw+fFgupauvryc/P5/S0lK6urqG5aJIJVnr16/nySefZO/evUybNm3Q+lr0ZTAetJL64nA/xKVkKIPBgJub20Xb40ClUjFhwgSWLFlCVVUV+fn5GI1GjEYjJpOJ999/Hysrq+MqOKRths8//5wbb7yRjz/++LjKESmSlZ+fT15enmywpR4hOp2Oqqoqpk6dKifUCYJAb28vqampfPfdd8ydO5fAwEC6urpob2+X/0pKSnj99ddpaGjol5aFKIocOXKELVu2cOzYMaqrq/n4449Zu3atnECo1WopKiqipqYGR0dHefX7448/0tzcTEFBAV988QUGg0Euue1bWi399X3txNclGXCz2SxLhZ9rdchgoNPpOHDgAPX19ad9T1tbGxUVFWg0mgFtnX2+93Jfh/BM9D1uS0tLvyKz/TmmVE3U1tZ21uOpVCpcXFzw9PSUdXikcUVERCAIAgaDgWPHjgHIibGSs9W35FmlUmFra0tgYCB+fn4oFAq8vLwICAjAysoKa2trnJ2d0Wg0wK9dcSMjI2Vn2crKCmdnZyZOnEhHRwe1tbX9mn/SOHQ6nWUr5FyQ5IL7o9AmqRVmZmaSnZ193I0hXSSdTocoimzYsIFt27aRlJTE008/TVxc3JA+gKSa7EcffRRBEHjiiSdISEhApVKxd+/eUVE2NFxIiVa9vb0nCUtdTEj6IHfddRctLS2sXbsWHx8fgoODWbduHTt37uS5554jOTlZ3p+WttC+/PJLtm3bRmZmJosXL5ZLlz09PVmyZAmHDh3i6aefpru7m+uuuw4XFxeKi4t55ZVXaGxs5C9/+Qv+/v4oFArMZjObNm3ikUceoa2tTW6lfSJSDsiOHTvOeC+pVCqio6OZMGEC6enpvPnmm3z++efY2NjwwAMP8Mgjj/Dwww9TVVXF8uXLueeee7j77rtRKpUkJCTIicaXXHIJGo2Gv/71r4iiSHFxMdXV1ZhMJrZu3crcuXOxtbVFFEWOHTvG4cOHZUGw4uJigoODsbKywmg0smvXLkwmEw0NDeTl5cmdSofTSW5sbGTr1q3yNuep6OzspK6ujtDQ0EGpgrhY6c95sLe357bbbmP+/Pn4+/tjbW2NIAjk5ubyww8/yA6ntLjtjz5L362xE+8RyREBZGei7zElHRfJyT8Xx1baRh9uZ3ggGJInn+SB9vb2nvW9SqUSDw8PrrrqqpOytKVtki1btmAwGHBwcOA3v/kNMTExQx4qN5vNVFdXs2jRImpqakhPT5fVDvV6/ZBJ0o5WpNWupNB5sToW8L8M+j/96U+sW7eOxx57jMbGRq6++mq2bNkiNyfrKxzl4eHBrFmzKCgo4K677jpuj1uqZPjkk0/44Ycf+O6773jppZdQKBSEh4dzzTXXsHDhwuPk0nfu3MlTTz0l53ic6V6U8l7O9puCg4N56aWXeO6559i1axexsbEsX76cSy+9FLPZzLp16zhy5AjLly9nyZIlcvv2u+++m46ODr766isCAwN5/vnn0Wg0PPXUU3zzzTfo9XpcXFzYvn07SUlJfPvtt+zYsYPXXnuNnp4enJ2d6e7uZsWKFTzyyCMkJydz3XXXya+ZzWbWr19PVVUV//jHP4iOjh6gK9l/rK2tmTVrFrm5uWcVK+vq6qKpqYmpU6eeNpF5KJFW0Odiv/pGAc523P4erz+l15KeiqOjI11dXezcuZN///vfBAUFyaXDcHyk5Gzj6I/zIS14B8IROPEYo+G5MWRLalEUZXnjMyFVJ3z66acnvSYIAl1dXURGRtLd3c1tt93GCy+8cMpSOrPZfNqEpTMlGPUXs9lMSkoKzc3NGI1GQkJCjltx9t0vO3HS9K0KkF47H/W3wfBsJeXQM2V3DwT9ybXRarV0d3efVvb7YsLKyorg4GAef/xxHn/88TO+V6oSWrVqFatWrTrle6SOmQ888AAPPPDAWb9/zpw55yRzfTYkUaMpU6bw3XffnfI9P/300yn/PTQ0lFdffZVXX331uH9/8cUXefHFF0/5mcTERB599NHTjkcqizwfBuM+srGx4bLLLmPbtm0UFBSc8Xva29vlMsa++TcDgaT9cq73j4ODg5yYeSolYenYUhTgkksukR3H0xEQEICdnR3AaR1byQFTqVT97jZtMpnIzs7mxRdfxMnJiWeffZaoqCgKCwtP6aT5+fnJVXrt7e3nfK79/PyIjo5Gp9MNiPyB0WjEbDbj4+MzaqLcg/4r+gqGDDbSKjczM5PS0lKmT59OZGTkaSWK+z74z+fBLulzmM1m9u7dS2xsrKyIWFZWhtlspqenh7a2Nnp6eoiIiJA7eubk5NDQ0EBdXR0KhYLu7m45sajvfvLpxgzH39jSa9Lf+dRDi6JIamoqJSUlLFmypF9KeueDra0trq6usraDn5/fSfNDEARaW1vR6/VyAuJQhAgvdgfGQv8xGo00NDTQ0dEhL0IG6voLgkBjYyPt7e3o9Xrq6uooKys7KTm3t7dX7kAKv26dNDU1XfA4pBwlqQmav79/v/MtJJstSfwfPXoUvV5/0vF1Op2cBzFu3Lgz9nCSkj1jYmI4cuQIGRkZp7RvUjmnSqUiMTHxrOPt7e1lz549rF69mvDwcJ588kmCg4PP+hul31BVVdWv956Ktra2Acnt6+zsRK/Xy8qxo4EhcY+k6oaB0GTvG6Y71aRrbm7moYceoqKiglmzZvH9998fl9sh1T13dnZSWFiIQqGgp6eHw4cPk5iYiLu7e78cIYVCQWxsLPb29nR2dvLnP/+ZK664AqVSiclkwmg0YmNjQ1VVFV9++SVOTk488cQT2NjYyFoF27Ztk6WM582bh7u7u1z/39PTw9GjR2loaMDNzU1uUCUl1XV1dVFUVERYWBhqtRqtVktJSQkmkwmFQkFOTg6hoaFyw6ezIYoi7e3tvPPOO/z00094eHjg7+9/jlenf9TX1+Pj40NBQQFfffUVycnJ8kpGwmg0smPHDhoaGvD09CQrK2tQHB3JiVOpVAQFBeHn53fBvWgsXBy0t7fz/vvvk5mZKVcJDNR1lwT+Dh48SFtbGx999BGbN28+6T0Gg4GSkhLUajU7d+48Y5LnuX5/RUUFhw8f5pZbbuGll146p8iFQvGrYFxERARlZWW0tLQcV5YsVY709PSgUChITEzE3t7+jMdXq9UsWLCAH374AZPJREtLCxqN5jhb297eLktsT5s27azjbWtr4z//+Q9NTU3cfffdBAQEoFarT9uv6VT/fb7bGQOVDyFtlUnbjR7YlQAAIABJREFUYKPB9gxJxEJ6sDc3N1/whZCUzXp7e09qrCN91/Tp07GxsWH8+PEnhZYEQeDgwYPk5OSwefNmQkNDUSgUpKamolarmTp1KpMnTz5ra3eVSsVvfvMb7rzzTtLS0ujo6CAjI4OZM2dyww03MHv2bFQqFXV1deh0OlasWIFSqcTV1ZUFCxZQUlJCRUUFRUVFXHfddUyYMIFvv/2WzMxMgoKCMJvNFBQU8P333zN37lwOHjxIVlYWzc3NhIWFYW1tzSeffMLVV1+Nt7c3O3fuZNu2bfj4+CCKItu2bcPJyYkrr7yyXwlhZrOZ7OxsKioq6O3t5S9/+cuAqVCe6ru6urrQarWUlpayYcOGU16nlpYW2tra6O3tZeXKlYMSJpQiQ1JZ6LJly86okmhh9FBTU0NmZiaHDh06Kc/lQhFFEb1eL3fQlFbifaOnUlJhXV0dVlZWGAyGAXUspCT3PXv2nNeiLj4+ntjYWCorK8nKymLSpEnya1KCsVarJSQkhAkTJhwXsTjRzkt5CZdffjlhYWG0tLSQk5ODj4/PcY6F1N8kKSmJqKiosy7wurq62Lp1K8HBwfLiRFosnPi8kRQ5+/6b1LfIaDRSV1cnV3xcKFIUvD/nvbu7G4PBIPfIGQ0MiWMhiZ5ITbrOt1OlJAQlJaGdSqpWEq2qqKhg0qRJJ4X/RFHE0dERjUbDLbfcctxn1Wq1XEd9NpRKJU5OTqxcuZLk5GS0Wi3e3t5ER0fj6upKSEgIK1eupKOjg0mTJsllZFZWVkybNo3Vq1dTXl5OQEAA0dHRqNVqfHx8uOKKK5g3b578HY6OjqjValxdXUlISCAuLu64cTg6OspytPfff/9xr7m7u/f7YSw1UzOZTHh6ejJt2rSToggDSW1tLfv27UOh+FWd8kR538bGRrRaLQ4ODsyaNWtQsuVFUaSyspI9e/YQGRmJh4cHKpVqVGRlWzg70hyLiorioYceOi7Z9UKRtiJ++OEHfvrpJ0JCQrjtttuOm+fStunf/vY3QkJCeOCBBwgLCxuw78/JyeGll17C2dn5vMoYvby8WLRoETk5OWzZsoW77rpLzr2SJMvLy8u5+uqrCQ0NlX+XyWSipKSEzZs34+fnJ0djpd45jz76KKtWreLHH39k9uzZqNVq+XxlZGRga2vLqlWr+tVl18rKivDwcGpqavj555+JiYnBy8uLrKwsduzYAfwaEdi3bx9arRZfX18CAgJwcXFBpVKRmprK3LlzMZlM9PT04Ovre1yybUdHB0aj8bj8ue7ubrkviNQYURIxNJlM6PV6eStXp9PJhQWn+y3t7e309PTg5eXVr998MTAkjoWrqyuurq5UVlZSX19/3u2JJcdi/vz5cm7BiYZAqVQSGxtLbGzsKS+mVCYnCUGdePxTHfNM43F0dCQpKemk8djZ2TFjxgxZe6Bvxr+kjhgTEyNnU4uiyJVXXnmSAZDGpNFoThl6k74zICDgpNf6k6nd9zhSe/K4uDgef/zxs3bGPF8EQaCkpIQ33niDzMxMpkyZwgMPPHDcTZWSksKhQ4eIj4/nscceOyd58v5iMplITU2loqKCuLi44wyghdGPVqtFp9MxZcoULr30Ujw9PQf02ktdeYuLi7G2tpbLc6VVqV6vp7W1FaPRyNSpU2V5+4FAEoF67733aGlpOa+wvVqtJjk5mby8PD777DPS0tL43e9+h1qtprq6ms2bNxMWFsb111+Ph4eH/Lnu7m42bdrEiy++SEhICD4+PsyZMwf41f5ee+215Ofns2XLFnbs2MHChQvR6/Vs3LiR/fv3c//99zNx4sR+bU05OzuzZMkSnnvuOX744QeOHDmCk5MTM2bMICkpibfeeov29nY+/PBD7rnnHmJjY7G2tmbBggXs2LGDrKws/vSnPzF37lxuueUWmpqa2LZtGyUlJYiiyKeffoqXlxdTp07F29ubbdu28eOPP1JfX09raysff/wxbW1tzJs3j4KCArZs2cK2bdswGAwcOHCADRs2MH/+fIKCgk4rDNfQ0IBOpyMwMHDUiMcNmY6Fn58f+fn5lJeXyz0fzse56M+Nf6Zw0rk6DxcyntONQwoL9n1dOhfnGwobiG6ILS0t9PT0EBcXh7+//zn1djnX73Jzc6OoqIisrCxMJhNeXl5yKFpqBa/Valm+fDlxcXH9jiSdC0ajkdDQUAICAtDpdHJzJAtjg+bmZtra2tBoNDg4OAx48pwUhXR1daW2tpaDBw8SFhaGm5ubHH7PyMjAzc2NqVOnynkeA4Eoimg0GmxsbKitraWtre2cZcKVSiXOzs7ce++9WFtbs2bNGpqamnBycmLPnj04Ojry0EMPkZCQcFwem1QxJG0xnmjnHB0d5X4oH330EXv37qW1tRWz2czTTz/NZZdd1u9tKXt7e2688Uasra3ZvXs3VlZWzJw5k/nz56PRaFizZg3V1dXExsaSnJyMu7s7oihy2WWX8corr1BQUICbmxvTpk0jODiYpqYmNBoNy5cvp7u7G5VKhbu7O1ZWVtjY2JCQkICfnx833HADCoUCBwcHNBoNVlZWjBs3joULFzJ9+nTg18ogHx8fOWJ/qmvU0dFBY2OjrLo6WvK7hqy2JSQkBLVazdGjR88o+2pheBBFkfr6ejo6OggKCuqXmNn5ImWIu7q6olaryc/PJzU1lXnz5iGKIkePHpW7JV5yySUnNUAaKKQaeE9PTyorK+UuoxbGBlKo2t/ff9BKmiWn4YsvvmDr1q0kJSXh6uqKIAj88ssvfPLJJ0yfPl2OBAwkjo6O+Pr6UlVVRXl5+XnlDygUCvz9/Xn44YeZP38+hYWFdHZ2snjxYqKjo0/pDNnb27NkyRISEhJwcXEhKirquOOpVCoCAgJYvnw51113HQ0NDTg4OODr6ytv3/b3WqjVasaNG8eDDz7IHXfccVzkVaFQcN9998lbGdJ2huTczJkzh1mzZsnijVJk2NvbW47wSO+XnM6QkJCTqk6k9/j6+so5bie+drqqxKamJlpbW/Hw8LiohQBPZMgEsgICAlCpVJSWlh7X4dHCyMBoNFJZWUl7ezuRkZGDHpJTKBTExcWxcOFCvv76a26//Xaef/55kpOT+eCDD9i+fTsPP/wwMTExg+bBKxS/ClH5+fmRkZEh17SPhhWDhdMjtQ2oqKhAqVSi0WgGTbfFy8uL5ORk0tLSOHz4MF999RXXXXcdfn5+ZGdny03qvL29B/yhIj3AMzMzyczMPGun0NMh5XolJiYSHx+PKIqoVKrTOkJSLsWsWbOAU5dwK5VKHBwcCAsLIzg4WN62PVckR0XqW3IidnZ2p8wVk5yFE3/DiZHkU33ubOPpL1ICbGtrKwEBAYPW9HE4GDL3KDo6GpVKRUZGxqjpOT+aaGxspK6uDicnJwIDA4fE8ZswYQIvvvgi999/P6Io8sgjjzB37lx++OEHJk2axNy5cwetdTv8T+XV19eXpqYm6uvr+9XvwMLFjdSZtaqqivDw8EGV0VapVAQHB7Nw4UIUCgVr1qxhwoQJXH/99ezevZvIyEiuueaaQVmpKpVKuUliZmbmBfWhkB7g1tbW2NjYnDW6Im0390eNczTpN5wLgiBQU1NDY2MjISEhg2rrhpohi1gkJibi7OxMTU0NFRUVxMfHD8VXW+gntbW11NTUEBUVNaT9FZRKJX/605/w8PBgz549VFdXY2dnx7333sukSZMG3eBYWVnh5eWFs7MzZWVltLe3jwhZZQuDhyTHX11dLWvXDBYKhQJvb2/uv/9+IiIi+PnnnykqKkKr1SKKIrfeeivu7u4Dfr9JjsC0adNQKpUcOnSItrY2vLy8LHN7hKDX6yksLKShoYHo6GhZdXU0MGQ5Fo6OjkyaNInU1FT2799/UtmkheFDFEV5BTd//nxcXFyG1LGws7NjxYoVLF26lJqaGmpra+WcnKHA398fjUZDfn4+ra2tg6Y4amFkoNfrqaioQKvVEhMTM+iOhVQJdsUVV3DFFVcgCAKFhYXU1NQQHh4+aNFBlUpFREQEPj4+tLW1kZ+fz29/+1uLYzFCaGhooKSkBGdnZ6Kjo0dVxGJIZpgU7po1axa9vb1kZWVZtkJGCFJmcmFhIU1NTYwfPx5XV9chNz7SCisoKIjp06fj4+MzZN8dHh5OREQEhw4d4tixYwOiEGth5CK1cXdwcCA8PHzIDbpCoWD8+PFcfvnlhISEDKoTb2VlxSWXXILZbCY3N9cyt0cQtbW1FBQUEBkZSVBQ0KgqaBiyp4dKpSIpKUkWVuns7LQ4FyMAQRDkdtTe3t5ERUUNeadYCWlfVqVSDaljo9FoiIiIoLOzk7y8PAwGw5B9t4WhRRRFGhoaOHDgAMHBwQQHBw+5Qe9bbj7YEs4KhYKrrroKURTJysqy2N0RgFRqXFlZSXl5OVFRUXI/pNHCkEUslEolYWFhREZG0tjYyIEDByze8wjAbDZz9OhRCgoKmDBhQr9aFY827OzsmDBhAu7u7uzevfukhksWRgeSQS8rK6OkpITo6GjCw8NH1UrxRJRKJTNnziQkJISSkhK506qF4UPq3Hzw4EGUSiWRkZFDmtc2FAyZi6RQKLCxseGqq66io6OD1NRUSwb+CKCrq4v8/Hy0Wi0JCQmD1nhsJKNSqYiPj8fb25v09PTzaqVsYeQjiiKtra3s27cPJycnEhISBlTGeySiUChwcXFh3rx5NDQ0sGvXrpP6ZVgYWgRBoLa2loyMDKKjo4mNjR01Ut4SQ3pHKRQKrr/+egRBICsri8bGxqH8egunoKmpiR07duDl5UVCQsJZm6+NRpRKJREREWg0Gtra2jh06JDcHdHC6EFqZb5jxw4iIiKIi4sb1dEK+F9jxiuuuILu7m72798vtzq3MDz09vaSl5dHeXk5kyZNYvz48cM9pAFnSB0LpVKJn58fl1xyCeXl5ezbt89ivIeJvi2b09PTmThxItOnTx/1hvZUSFn7SUlJuLu789VXX1m0VkYhBoOB7OxsamtriY6OJiYmZriHNOhIVSmhoaFMmDCBmpoasrOzLdHiYUIURdrb2/nhhx/w8vLi0ksvxdnZebiHNeAMuWPh4ODA5ZdfTlVVFbt27aK3t9diwIcBQRDkCW5vb8+UKVMIDAwck44F/GqAZ8+ejUajYdu2bZSXl1+QoJCFkYderyclJQUPDw+mTZt2SqXG0YgkoT9//nxqamrYunUrnZ2dwz2sMUttbS2pqalyBdxoVKEe8s1FGxsbpk+fjqurK3l5eWRnZ1uSOIcBQRAoKipi8+bNxMfHM3v27OEe0rATGhrKJZdcgslk4ssvv7Q4FqMEURQxmUxUVlaya9cuAgMDufTSS4dMJ2UkYGdnx7x58/Dx8WHnzp3s37/fMr+HGEEQ6OrqYu3atajVaiZNmjRqk+WHPMdC0ua/+uqrKSsrY+fOnRbveYiRsuPfe+89TCYTM2fOJDw8fLiHNaxIe9ELFy7E1taWDRs2oNPpLNG0UYDkWKxduxaDwcC0adOIjIwcU9E5lUpFSEgICxcupLCwkD179tDV1WWZ30OIJIy2ceNGgoODmTdvHiqVyuJYDBRubm5cddVVuLi4sGXLFoqKioZjGGMSURQxm80cOHCAzZs3M27cOK699tpR1QDnfFEqlUyZMoWoqChqampIS0vDZDJZjO9FjiAIlJWVsWXLFnlRM9aQqkNmzpyJj48Pe/fupbi42JJrMURIOW2vvfYaXV1dXHbZZSQkJIxKpwKGybGwsrIiNjaWmTNnkpubS25uLj09PRYDPgSIokhPTw+vvfYaJpOJ5ORkYmJixtTq7XRIXRyvv/56RFFk3bp1tLe3D/ewLFwAoigiCALffPMNjY2NzJw5k7i4uFFr0E+HpH4cExPD5ZdfzqFDh0hNTbXM7yFCEARycnLYsmULzs7Oo34xNyyOhVKpxNfXl5kzZ+Ls7MzmzZupqKiw5FoMAYIgsGvXLnbs2EFQUBA333yzxanog0Kh4MorryQwMJD9+/eTlpZmcXgvYgRBoKSkhG+++QY7Oztuv/12bG1tx5xjIeHj48OCBQvw9vbmiy++oLS01JJrMciIokh3dzcffvgher2e2bNnEx8fP6rt7rA4FgqFAmtra2bNmkVycjJZWVmkpKRYci0GGbPZTFNTE6+88grd3d3ccMMNhIaGjlkjeyqUSiU+Pj7cc889tLS0sHbtWurq6ixO70WIlEv00UcfUVNTw7x585gwYcKoNuhnw9rampkzZ5KcnExVVRVff/01Wq3W4lwMEtLWc0pKCmlpaXh5ebFixQrs7e1Htd0dVsk5jUbD9ddfj6+vL2+99RY1NTWWCT6IGI1GPvjgA/Ly8ggPD+fuu+/GxsZmVE/wc0VyepcsWUJAQAD5+fn89NNPlr3oixBRFMnJyeHnn3/GycmJhx9+eMzPd6VSibu7O4sWLSImJoZvvvmGnJwcy/weJERR5NixY7z33ns0NDTw2GOPERUVNarVXmGYHQsrKyuSk5OZPXs2Wq2W119/nc7OTsvqcICR9pl3797NunXr6O3t5YUXXhj1csbni5To9uCDD6LVatm0aRO1tbXDPSwL54AgCOj1et577z2qq6tZtmwZkZGRlvnOr/N70qRJXHXVVSgUCv71r3/R09NjUZsdBAwGAx9++CEFBQVccskl3HrrrVhbW49653ZY7zKlUomdnR1LliwhNjaW9evXk5qaanEsBhhRFGlububjjz+mvLyce+65h6SkpDEdEj4bVlZWLFq0iMsuu0xe9Vrm5cWD0Whk8+bN7Nu3Dw8PD2677TZsbW0tjsV/sba25tZbbyU2NpY9e/bw9ttvW5rvDTCCILBjxw5+/PFH1Go1q1evHjNzcET8wvj4eG655RYcHBxYtWoVR44csUgqDxBSJ73333+f9PR0EhISWLp06ahrejPQKJVKPD09WbJkCd3d3WzatImDBw9iNBqHe2gWzoIoipSWlvLJJ5/Q0tLC0qVLcXFxscz3PigUCry9vVmxYgURERG8+OKLbN++3WJ3BwiDwUBBQQEffvghVVVV3HvvvcTGxo6ZxdyIcCykPe3f/e531NTU8Ne//pVjx45ZJvgFIooiXV1dbNy4kY8//hg3NzeefPJJNBrNqBVmGSgUCgV2dnZMnTqVuXPnkpWVxXfffUdra+twD83CGRBFkY6ODjZs2EBmZiYzZszg6quvxsbGZriHNqKQxAp/+9vfct9996FQKFi9ejVFRUWWPLcLRBRFGhoa+Oijj0hPTycpKYkbbrgBFxeXMRGtAFCtXr169XAPQlI9jIqK4tChQ6Snp6NQKJgyZcqY2I8aLLq7u9mxYwevv/463d3d/PGPf2T+/PmjPiN5ILG3t8fFxYXs7Gxyc3MZP348ISEhFsdshNLb20tqairvvvsuSqWSJ554gokTJ1oidKdAalA2fvx46urqSE9Pp6WlhQkTJuDm5mY5X+eBIAi0tbWxbt06PvzwQ8LDw3niiSeIj48flT1BTseIcCzg10nu6upKaGgov/zyC4cOHcLPz4/IyMgxdUEGAknC+ODBgzz//PNUVlZy2223cfPNN+Pp6WkxGOeAtCWi0+nYvn07nZ2dTJ06dUytPi4GRFFEFEUqKip4/fXXyc/P5/e//z2LFi2yPCTPgFKpxMrKisjISHJycsjMzMRsNhMbG4u9vb1ljp8Doiii1+tJTU3llVdeQRRFVqxYweWXX46dnd2YmoMjyrFQKBT4+vri5OTEli1bKC4uxsfHh8jISPl1C2fHbDZTX1/P3//+d/bs2cPVV1/NsmXL0Gg0FkNxHtjZ2eHm5kZpaSkZGRk4OzuTmJhoiaaNIERRpLW1lc8//5zPPvuMGTNmsGzZMoKDgy1z/ixIi7rg4GAyMzPJyspCpVIxfvx4HBwchnt4FwXSYi49PZ1nn32WxsZG7rjjDm688cYx6diOGMcC/udcjBs3DrVazaZNm6iuriYoKGhMt/TuL1JZqdFo5G9/+xubNm1i6tSpPP7444wfP95iYM8DaU46OTlhY2NDVlYWGRkZTJgwgXHjxqFUKsec0RhpiKJIb28vP//8M//617/w8PBgxYoVXHrppZYtkH4g5Vt4e3vj4+NDRkYGWVlZuLu7ExERgVqtttiOMyA5FYWFhfzxj3+kvLycxYsXs3TpUnx8fMbkc2tEORbwv6S5kJAQent72bp1K+Xl5URHR6PRaCxG4gxISoNvvPEGb775JkFBQTz//PMkJCSMqRbRg4FarSYkJITm5mYyMzPJyMjgd7/7Ha6urhajO4xIznRRUREPPvggvb293Hfffdx4442WXKJzRKVSMW7cOJydndm6dSu5ubl4eXkRFhZmSX49DZKyZklJCbfffjvl5eUsWrSIp556ioCAgDG78BiRjoVCocDe3p7w8HAaGxtJSUmhtbWVuLg4eW97LF6sM2EymTAYDLz++us8//zzODg48M9//pPLLrvMsmobAKQE48TERA4fPsyBAwfYvXs3N9xwg2VFN4wIgoBOp+Pee++lrKyMq6++mieffBIHBwfLNTlHpDk+btw4VCoVaWlp7N69m3HjxslRZMs5/R+CIGA2mykqKuLuu++mtLSUpKQkXn75Zby9vVGr1WPX7oojGEEQxJycHPGaa64RnZ2dxTlz5ogHDx4UTSbTcA9tRCEIglhXVyc+/vjjopubm+jl5SW+/fbbYm9vrygIwnAPb1RhNpvF6upqcdq0aaK9vb143333iVqt1nKehwFBEMTW1lbx97//vejo6CjOmzdPLCsrs1yLC0QQBFGn04nPPvus6OfnJ3p7e4sff/yx2N7ebjm3feju7hZ37NghTp06VXR0dBQXLlwo1tfXi2azebiHNuyMuIhFXxQKBR4eHkRFRdHU1ERGRgZ5eXlERUXh5eVlKfkD9Ho9ZWVl/OMf/+Drr7/Gz8+PNWvWcPPNN1tWGIOEg4MDsbGxpKWlcfDgQWxsbIiOjsba2tpyvocIQRBoaGjghRdeYN26dYSFhfHPf/6T8ePHW7b9LhCpX05cXBx2dnYUFRWxYcMGHB0d8ff3x8HBYUwn05vNZnQ6HSkpKTzzzDPU1tYyf/583njjDdzd3S3PJUbgVsiJqFQqNBoNERERNDU1sXPnTjIzM4mIiMDb23vMZuaLoojBYODAgQO88MILpKSkEBYWxpo1a1iwYAFWVlaWh9wgIBlUjUaDr68v27dvJzc3F3d3d0JDQ8d0S+6hQhAEtFot77zzDh988AEajYbnnntO3vazcOEoFApsbW2ZOHEi1tbWFBQU8MMPP9DZ2UlgYCDu7u5jbkta/G8+T319Pd9++y0vv/wyjY2NLFmyhNWrV+Pl5TW2tz/6MOIdCwkPDw/i4uLo6uoiMzOT3bt3o1QqZQ96LD1Exf+qC6ampvLyyy+zZ88eLrvsMp5++mmmT58+Zp2toUJyLsLDw7G1teXAgQPs27cPd3d3QkJCLOd/EBH/2/fmiy++4IMPPsDR0ZFnnnmG+fPnW4z6AKNQKFCr1cTFxeHj40NDQwM///wzRUVFODs74+fnN2bmuvjfyqP8/HzeffddPvzwQ2xtbbnvvvt48MEHLRH0E7hoHAuVSoW7uzvR0dFYWVmxd+9eMjIy6OzsxNfXF09PT4BRfWElj7m7u5vvv/+el19+meLiYubPn8+jjz7K5MmTx8yNPtwoFAq51l+pVJKWlkZhYSHu7u6MGzduzLfnHgzMZjPNzc2sW7eOd955B1EUefTRR7nuuuvGnADRUCEldEZHRxMWFkZXVxdpaWnk5+fLkTtJ62I0nn+xTwl/SkoKr776Klu3biUkJISHHnqIm266yeJUnIKLxrGQcHZ2JiEhgbCwMMrLy/n5558pLy8f9R60+N+yppqaGv7973/z4Ycf0tjYyK233srDDz8sK5SOxt8+krG2tpajFBkZGezbtw8/Pz9CQkIsK+gBRBRFGhsbWbt2Le+88w4mk4kVK1Zw88034+joaDnPg4zkRCQkJODs7CxHjSsqKnB2dsbHx2fU2R/J5tbW1vKf//yHd955h5KSEq6++mr++Mc/Mnv2bLm53Wj63QPBReVYSEIutra2hIeHM378eDnvIisrC51OR1BQkJxcJH3mYkaa3EajkZ9++olnnnmGrVu3olarWb58OXfeeafcu8LC0CLNRzs7OyIjIxFFkfT0dPLz8/Hw8CA0NFReyVzs83C4kFaMLS0tfPTRR7z99tvY2dnxyCOPcOONN8p7/RYGFylC5+LiQnR0NKGhoZSVlZGRkUFmZiY6nY6IiAhZ7+JinfPifxtfmkwmOjo6SElJ4dlnn2XTpk0IgsCKFSu499575cTWi/V3DjYXlWMhIe39+fn5MX36dJycnMjIyGDXrl3s3LkTHx+fUdEoSjKqR48e5Z///CevvvoqRUVFTJs2jRdffJEFCxZYen+MABQKBQ4ODowfPx4rKyt27txJSkoKjo6OJCYmXvTzcDgRRZHOzk6ef/553n33XRwcHHjsscdYsmQJzs7OFqdiiJEEDMPCwpgzZw42Njbs2bOHXbt2sWXLFlxcXIiIiJATOy+2eS/Z3AMHDvDXv/6V9957T7a5L730EgsWLMDb29uykDsbQ13fOpAIgiCazWaxs7NT3LFjh3jVVVeJHh4eoqenp3jnnXeK+/fvF7u6ukSDwXDR1BYLgiCaTCaxt7dXrK+vF9966y0xMTFR1qf429/+Jra1tVk0KkYgJpNJ7OrqEt98800xJCRE9PDwEB977DF5DlquV/8xm82iwWAQa2trxZtvvll0cXER4+LixC+//FLs6uoa7uFZEH+1VZ2dneLOnTvFyy+/XHRzcxM9PT3Fyy67TPzuu+/Ejo4O0WAwiCaTacTOfekZYjAYxK6uLrGwsFB84oknxKioKNHFxUWMiYkRP/zwQ7G1tdVic8+Bi9oVben3AAAgAElEQVSxkJAmR1tbm/jWW2+J48ePFx0cHEQHBwfxjjvuEDMzM8W2trYR71wIgiA7FN9//704Z84c0c7OTvTy8hJvvPFGMScnR75JLRN8ZCIIgmgwGMTNmzeLsbGxooODg3jjjTeKpaWlosFgGO7hXTTo9XoxNzdXnDx5smhnZycmJCSI33///Yh+SI1FJNvb0dEhvvLKK2JkZKTo7Ows2tvbi3PnzhU3bdokNjY2inq9fkReN5PJJLa3t4v5+fnismXLRI1GI9ra2or+/v7i8uXLxdLSUovNPQ8UovjfTaVRgNlsxmQyUVxczPvvv8/OnTtpamrCxsaGhQsXsmDBAsLDw/Hx8cHOzm5EhKgFQUAQBFpbW6mvryc7O5tvvvmG/fv34+joSFxcHLfffjuzZ8/G2dnZkhB4ESBJ/ebm5rJq1SoKCwtJTExkxYoVTJ8+HXd394syTDwUGI1GtFotaWlp/OMf/6C+vp5Jkybx97//nbi4uFGbnH2xI9nehoYGPv30U3788UeOHTuGIAgkJCSwYMECpk6dikajOU7vYSjvA/HXhTQmk4n29naampqoqKhg69atfP/993R3d6PRaJg6dSo33XQTkydPxtHR0SK4dh6MKseiL2azmZycHL777jt++eUXysvLUalUzJo1i9/97nckJCQQEhJyUo7CYE9y6XSL/xW4qquro6qqip07d7Jp0yYOHDiAn58f0dHRLFy4kEWLFuHr62vZS74IEQSB8vJy/vKXv5Ceno69vT33338/1113Hf7+/hYnsQ/if3UCiouL+fbbb/nkk08wGAwsXryYJ598Eo1GY7kHLhJMJhMVFRWsW7eO7du3U1FRQX19PcHBwcyZM4fZs2cTGBgoywScKCo3EPdE38ea+N8E+La2NlpaWjh69ChZWVls376dvXv34uDgwLhx45gxYwaLFi1i5syZlqZrF8iodSwkz1Sv11NYWMiOHTvIysqiqKiIxsZGQkNDmTJlCrGxsQQFBRESEoKfn59cujZQ3rTkJUt/er2e6upqysrKKCwsJDc3lwMHDqDVagkNDWXixInMnDmTadOmERgYKJdwWR5AFx+SQauvr+frr79m3bp11NXVMXv2bG655RZmzJiBvb39mE4EE/+bLNfY2MjPP//M119/TXZ2NuHh4Vx77bXceuutFpnkiwzpmhoMBmpra8nOziYrK4u8vDwKCwvp6ekhNDSUyMhIoqKiCAkJISgoCB8fH7y8vGTBwxMr+053/fsu1vpGJZqamqitraWqqoqamhoqKiqorKykuLgYvV5PSEgIkZGRTJgwgcmTJxMfH4+tra3F4R8ARq1jcSK9vb1UVVWRlZXF/v372b9/P3l5eXI77IiICMLCwoiOjsbPzw9fX198fHxwdnY+5cQ+ceKd6CFL/9vT00NtbS3V1dXyxK6oqKCkpITKykq8vLyIi4tj0qRJTJ48menTp+Pq6mqZ2KMMnU7Hrl27+PTTT0lLSyMqKorrrruOK6+8kqCgoDFXltr3AVBSUsJnn33G999/T3t7O3PmzOHWW29l1qxZFuGrUYAoinR3d3Pw4EGys7M5ePAgxcXFlJaW0traipeXFyEhIbJMvoeHB76+vvj6+mJtbY1arcbV1RV7e/tT2l2z2UxrayvNzc20tbXR1NREW1ubHA2urKykrq4OtVot2/j4+HgmT55MQkICbm5ulmjYADNmHAvJi5YayFRUVFBRUUFubi6HDx/m8OHD6HQ63NzccHV1xdnZGRcXF+zt7YmMjMTe3p6goCB5Yvv5+eHs7IzRaKSyshJBEORJ3tLSQl1dHQ0NDeh0Otra2tBqtTQ1NdHZ2YmXlxcTJ05k2rRpxMXFERwcTEBAANbW1qhUKsskH4VIK7jy8nLWr1/Pp59+Sk9PD/Hx8SxevJhrrrkGNze3MRG9kO4TrVbLd999xzfffMOhQ4cICgrilltu4corr5TvB4tTMTqQrnlf+1hXV0dlZSUFBQWUlpZSVVVFc3Mzoiji4uIi55QplUrs7e1Puz0hCAJdXV10dnbS3d1NR0cHvb29ODo6EhoaSnh4ODExMQQHB+Pn54e/v7+8BXOxlsWOdMaMY3EqBEGgqamJpqYm6urqKC0t5fDhw5SWlsqT3mQy4eLigpWVFU5OTvJnHRwcsLa2xmw209HRcVyUQq/X09XVRU9PDyaTCV9fX6KiooiJiSE+Pp7g4GB8fX3lrReLIzF2kB6oe/fu5aOPPmL79u14eXkxffp0br31VpKSkmQHczQZPClCIQgCer2erVu38sUXX5CXl0dbWxsLFizgrrvuYsKECbi7uw/3cC0MAVJEt7m5Ga1Wi06no7u7m+LiYhobG6mtrZXz0Lq6us54LKnzqkajwcfHh6CgIFxdXXF1dcXd3f24LRYLg8+Ydiz67slJK0q9Xo/BYMBoNNLb20tJSQl1dXUUFxfLodva2lrZs5awtrYmNjYWpVKJg4MDAQEBBAYGEhgYiL29Pba2tvKflDcx1roDWvjfNpnBYECr1bJz507+9a9/ceTIETw9PZk9ezYPPPAAEyZMGDVt2PvmF2VlZfHWW2+Rnp6OTqdj4sSJ/OEPf+CSSy7Bzc1NXqFaGBucaIPh121rk8mE0WhEFEWMRqP82ulQqVSo1WqsrKxQq9XyvdPXzlps7dAxph2LsyGF70wmE2az+bgbQNr6gP/J1yqVSvlPpVLJf5YJbeFUSM5sZ2cn7733Hm+//TY6nQ5XV1fmzJnD3XffTXx8vFwaLT1wL4b51HfrUa/Xk5OTwzvvvEN6ejodHR24uLiwatUqbr75ZhwcHEZdnwkLFsYyFseiH5zuFPX991MZRYuhtHA2+jqrlZWVvP3222zcuJH6+noAkpKSWLlyJXFxcTg4OGBrazvi8zCk6ERHRwf5+fm8/vrrcn8bX19frrnmGpYvX45Goxl1Wz4WLFiwOBYWLIwYTCYTBoOBsrIyvvnmG1JTU6mqqqK9vZ3o6GjmzJnDjBkzCA4OxsvL67jkNhgeR7ZvBK+rq4uWlhbq6+vZs2cPv/zyC1lZWfL+d3JyMjfccAPh4eHY2NhYtgItWBilWBwLCxZGIKIoUlFRQUpKCikpKVRWVlJdXY0oiiQkJDBnzhwmT57MuHHj8PHxwd3dHSsrK/nzg/XA7msupETUhoYGamtrKSgoID09nbS0NIxGIwEBAYSGhpKUlMRVV11FZGTkiI+2WLBg4cKxOBYWLIxQpPyelpYWDh48KAu8HTlyhKqqKqysrIiIiCAiIkLWAQgMDMTf3x9fX19sbGyO02A5ndCQ9N99K5tO/F9Ji6CtrY3a2lq0Wi2lpaWUlpZSXFzMkSNH6OrqIiAggOjoaKKjo5k6dSoTJkzAzc0NKysrS4TCgoUxgsWxsGDhIsFsNlNXV0d+fj55eXkcOnSI8vJyKioq0Ol0eHt7yyqGAQEBuLq64ubmhru7Oy4uLnh4eBxXMg3g4uKCi4sLAE1NTfT09CCKIs3NzXK5dGtrK8eOHaO+vp7W1laOHj1Kc3MzpaWlqFQqwsPDCQ8PJzIykoSEBCZPnkxAQIAlOmHhrEhO64Xm2UjHgbMrdZ7t86fifI45lrE4FhYsXERIlRa9vb00NjbS0NBAY2Mj1dXVlJaWUlRURFlZGU1NTVhbW2Nvb4+DgwN2dnY4Ojpia2sL/M+Q2tvbY29vD0B7ezsmkwlRFOns7MRgMCAIAt3d3Wi1Wnp7e/Hx8cHb25tx48YRERFBVFSU3PfBy8sLOzs7uTLKYoQtnA29Xk9zczMqlQp3d/dzFkXrW8qs1WpRKBS4urqeU5KzIAhotVra2trkslbJ2QHkKr/AwEBLlV8/sTgWFixc5EhCQ5KscWtrq5z78P/bu/P4qOp7/+OvM2cmM5nsIWSDJCRhR0QDJPIIi3gFl1Itlz8sBRVFXCreemsfV/R6ba9c2tuKUkVAW7VayqOVqkWriILKooRFgiEhCUsIBAyQhCxkm8zMOef3h79zbkJ2DCSYz/PxyOPRmpnjSfzON+/zXT7fs2fPcvr0aSoqKjh16pS10LK8vJxz5861ulZKSopVayU+Pp6goCDCw8NJSEhgyJAhREVFERwcbI2AhIWFyciE6DYzEOzfv5/nnnuOoUOHct999zF48OAu1zExa1wUFhaydu1aqqqqMAyDiIgIfvzjH1un4XZ2PV3X+fzzz/nwww/Jzc3F6/UC345OOBwO0tLScLvdPPnkk3KOSBfJebBCXOEURSEwMBCXy0VMTIy1U8MsMuT3+1sUHAKsf3Yhc12G2amaT2sBAQEtig6ZdVuEuBjmKMGGDRt47733uO222/B4PB1ORzRn1hjat28fixcv5oYbbuCJJ57A7/fz5ptv8vDDD/Pb3/6WzMzMTtupzWYjIyODESNG8MEHH/DMM89QXV1NVFQUy5Yt44YbbsBut0uo6AYJFrTcMqdpmjUc5nA4unV2R/N6+JqmAd92+na7vUv79c0Ur2maVW3OvBfzvc0Lb8mTojC19cdejn4WfZXP52P37t2sWrWKxsZGqwBhV+m6TlVVFY8++iiqqjJ//nxSUlLw+/3ceeedbN26lUcffZRPPvmEAQMGdDo1FxwcTHBwMJmZmUyYMIHNmzczbdo0Jk+eTHx8vASKbpJHDrCO2N2yZQtPPfUUmZmZjBw5klWrVllzzl3h8/koLi5m+fLlTJ06ldGjR3P//feze/dua3itM/X19Tz33HOMGjWKhIQEIiMjiYyMZMCAASQnJzNmzBhuvPHGFk+fQghxpTAMg7KyMl555RUiIyMvqh/TNI1XX32V4uJiMjMzGTZsmPUQN2zYMDIyMjh58iRvvPFGl/te+L/S4Kqqyk6m76BfBwtN06iurmbbtm0sWbKExx9/HI/HwzPPPMOWLVu4//77sds7H9QxDAOv10tubi5Llizh2LFjvPHGG+zcuZMRI0Ywb9483nvvPbxeb6cfIrfbzaOPPkpWVhY/+9nPrEPKBgwYwPPPP8/+/fv5+OOPZbRCCHHFMQupvfnmmzgcDu64445uT6npuk5ZWRn/+7//i91uJz093eqnzVG7yZMn43a7+e1vf8uZM2c6PWukuY62Zouu6bdTIYZhUFtby7p163jttdcIDQ3liSeeYPbs2S32/3eFuRhuxYoVnDx5kocffpirrroKwzB4+OGH+fzzz1m4cCHDhw/n6quvbjcUNJ/qiI+P5+abb2bbtm3s2bOH22+/nZtvvtnaGiiEEFcaXdfZtm0bn376Kc8//zybN2/u1vvNqeKsrCx8Ph82m42kpKRW4SQhIYGAgABqamrYtWsXCQkJPfljiE70yxELXdepq6tj9erVPP3008TFxbF06VL+9V//tduhAr4d+fj000/ZtGkTw4YN45prrgG+DQohISHMnTsXh8PBihUrOH/+fJeH/povGHK5XJKehRBXLE3TOHv2LCtWrOCBBx4gOTn5ovo0Xdc5cOAAhmFY21QvDBYhISGoqoqmaRQUFMi08WXW74KFuVDzww8/ZPny5bhcLh555BEyMzMvKlSYe6hXr16Nw+Fg1KhRVl0A+DZcTJgwAVVV2bp1K9nZ2d1q5BImhBBXuub95JgxY7j55psvev2CpmlkZ2ej6zqqqhIVFdXqOlFRUaiqiq7rHDx4UILFZdbvgoWu6xw5coRVq1bh9XpZtGgRU6ZMuagGboaUoqIiDhw4QGBgIMOHD2+VngcNGoSiKNTX17Nz505p5EKIfsUwDLZs2cLRo0d57LHHrLVjF3utEydOYBgGNpuN4ODgVv23OcJr9s/S515e/W6Nhd/vZ926deTn56PrOgsXLsRut7dYOWxuMe1KmVld18nNzbXSc0hISIsPjFljQFEUGhsbycrKkkYuhOg3NE2jpKSEtWvXcs899xAXF9elRfFtMbfkN+9DO9vCX19ff1H/LnHx+t2IRVFREdu3b6exsZE5c+aQnZ3N448/znXXXUd6ejrz5s1j8+bN1NfXdykA6LpOTk4OhmEQGBhIYmJiq4Zus9nIzMxE0zSqqqpoamqScCGE6BcaGhp44YUXuO6665g0adJl29HWE2eQiIvT74LFoUOHKCsrQ1EUNm7cSEVFBY888ghvvfUWc+fOJTc3lwULFrBhwwbrQKb2mFMh5eXl1rBcW7XuFUUhKCjImmc8c+bMpf4xxfdId0Oo2S57Krw2f0q8mGs2L0B34dd3ua7o28z/7nv27MEwDGbMmIHb7cbv9+P1evH5fFYhQbMooN/v77BYlrmdNCEhocWpvBe+vri4GJ/Ph6IoTJ48WcLFZdbvpkKKioqorq7Gbrezb98+4uPjsdvt1tZQp9PJ8uXLWbRoEampqWRkZHS6yKg7nWLzTl8au+iMruv4fL4uH85knp/g8/mw2+1WkZ+euAdd161rdrXtGoZh/SFpjxnIpTbL94thGJw9e5a//e1vuN1ujh8/zunTp63vNzY2cvToUet1u3btorS0lLFjxxITE9NuG7PZbIwaNYqtW7eiaRrnzp0jPj6+xWvMwKKqKtHR0Zfuh+Tbz4eMjLTU74JFfn4+lZWVBAYGEhQUZJ3ECBAYGMgPfvADPv74Yz799FPWr1/Ptdde2+FuEbP2REeNStd1ampqgG8b+sXsPhH9g7lPv76+nnPnzlFcXExubi4PPfRQhyFB13W8Xi9FRUUcPHiQ6upq3G43qampjBw5krCwsG53fn6/n5qaGo4cOcLhw4dpaGhg4MCBjBkzhqSkJJxOZ6ehRdM0Dh06RFZWFpWVldZ2a7NKYnx8PJGRkfzLv/wLkZGR3fpdib6vurqaxsZGPv74Y95///0W7UXXdc6fPw9ATk4O//3f/01gYCAvvfRSh2FAVVUmT57MK6+8Ym1hjY2NbRFMz58/j6Zp2O12Jk2adMnOtTEMg4KCAuLi4ggPD5fzc/6/fhcszPNA2hplsNvtJCcnk5SUhN1uZ+/evXi9XgICAtq8ltlRm2nZHI1o699pLtp0uVxSe160yazgWlBQwI4dO9ixYwefffYZfr+fe+65p90Fb+YoxdatW3nhhReIjo7mBz/4AdnZ2fzxj39k7ty53HHHHVa46Oq9lJeX87e//Y3PPvuMtLQ0hg4dyjvvvMOaNWt4/PHHmTZtWrufjebcbjeRkZHs3buXd955h6qqKmw2GzNmzOCuu+6ytgaK75+IiAhmzZrF6NGjW32vqamJXbt2sXnzZhISEpg5cyZxcXEMHjy43euZgTQ9PZ3IyEh8Ph/Hjh1j7NixLdpQUVERTU1NxMbGMn78+EvS3xqGQUNDA3/+859ZvHgxoaGhEiz+v34XLNxud4fDyna7nSFDhhASEkJBQYE1pNYem83G1VdfjaIo+Hw+Kisr0XXdamDm/J+iKAQEBBAXF3dJQ4UZbKSBX5lqa2v5+uuvOXbsGLm5udTW1hIYGNjhe3Rd56uvvuI///M/SUlJ4de//jVRUVFMnz6dlStX8vrrrxMaGsrs2bM7vZZ5vbq6OjZu3Mhf/vIX5s6dy8KFC3G5XNxwww3ce++9PP3006xcuZJx48bhcDjavZaqqiQlJTF48GASExM5duwYO3bsIC4ujtWrV1s7BKS9fv8oikJ0dDRz5sxp1Y+auzWcTidbtmxh5MiR3HvvvQwbNswamTMDc2NjIzabDbfbbYWHmJgY7rzzTl5//XWysrK49dZbcTgc1nv27t2Lx+Nh8eLFREVFdbt9mQ+eHU1z+3w+srKyCAsLw+VySRtupt/9JoYOHUp4eDgAdXV1bb7G5XJht9tJSkrqMASY0yBmsPB4PHzzzTetGmNFRQWGYRAUFMT111/fcz/MBQzDYPv27d06flj0LW63m9tuu41ly5Yxffp0AgICOl1AXFtby/Llyzl+/Djz588nOjoap9NJREQEt912GwEBAbz44oucOXOmS+1C0zSKi4v505/+RGhoKFOnTiUiIoLAwEBiYmK49957OXLkCC+//DK1tbUdXtP8jAQEBBAVFUV4eDh2u53hw4dbHbIEi+8nc6Glw+HA5XK1+nI6ndZ6HbvdjtPpJCAgwKo27PP52LdvH7/5zW948803OXXqlHVdVVVZtGgRY8eOJSsri+PHj1unShcVFZGdnc0111zDT37yky6tTzJHm/1+Pz6fD6DFCdPNFxqb/7+wsJC1a9eSkJBAUFCQjEI30+8+zWlpacTGxgJQWFjYZqdo/rObbrqp0/UQiqKQmJjI1KlT8Xq9FBcXt0rnxcXFVrC4VCuUdV2ntraWDRs29OiOAHH5mDVPIiIirCmzzkq5+/1+tm7dypdffonNZuO6666znupUVWXUqFFERkaSk5PDBx98gNfr7fRAJq/Xy/vvv09eXh4JCQmkpqa2uMcpU6ag6zpbt26Vgm/iOzHDR1tt3OPx8Pnnn/Paa6+xdu1aDh06ZLU1c2fIk08+SXR0NGvWrGHv3r1s3bqVFStWkJKSwtNPP20VJ+yIruucO3eO/Px8Pv74Y3JycvD5fOzatYusrCyOHDlCUVGR9ZWXl8e7777Ls88+y549e0hMTMTpdF6S38+Vqt9NhYwdO5bx48dz8uRJ3nvvPaZPn24VxGq+AK6hoYGZM2daaffC1GoeFqYoCk6nk3vvvZfFixeTk5NDXV2d1dB0XScvLw9d15k1axYpKSndChZdGZIzV95v2bKFiIgIma++gjVvG+Yanvbai/nf/c9//jP19fWMGzeuxQIyM6iMHDmSHTt2sGbNmg7XapjX9Hg8vP766zidTpKTk1uUqAcIDQ0lLS2N3bt38/bbb3PLLbf0wE8u+hvzsMXMzEyGDx/eKkQ7HA4mTJjAzJkzSUxMbDGCrCgKDoeDSZMmYbfb2bZtG++//z4Oh4P09HTS09MZOXKkNfrRmZycHD799FNOnjxJcnIyQ4YMwWazsW3bNg4ePNjic+j1eqmsrKS6upopU6aQkJAgfe4F+l2wCAsLY/HixezYsYN3332XBQsWkJaWhsPhQNM0cnNzOXr0KPfdd5+1IEhRFBoaGti0aRNr1qwhLS2NRx55xDoxz2azMW3aNH70ox9x8OBBCgoKyMzMRNd1KisrWbduHbqu8+///u9dHjK7cO9/e3v9zdcdOHCAl156iUceeaRb2wHFle3s2bOcPHkSwzBITExs8zVhYWE4HA5KS0spLy9v93XwbXsqKSnhzJkzREVFtZqfNoehIyMjaWpqorS0lNra2m4tDBXCPFhx1qxZTJkyhcDAwFZtyOl0MmXKFMaNG4fdbic0NLTVdZxOJxkZGYwdO5ampiZrLYbL5ep0t17ze8nIyGD06NFWf2tqfo0L62bouk5AQAARERHf9dfxvdPvgoWqqowZM4Znn32W++67j3vuuYc1a9YwYcIECgoKWLFiBWlpaTz44INERERYjam2tpbt27ezf/9+zp8/z6xZs1oEi6ioKP7jP/6Dp556ipdeeomIiAicTierV6+mtLSUDz/8sEvJ1txuWFlZyYYNG9i9ezeKovDJJ5/wk5/8hODg4BavP3/+PNnZ2Sxfvpz9+/dz1VVXdfkDJa58FRUVeDweFEWxnrKaUxSFpKQkAgMD8Xg8lJaWtnuEtNlZlpaWWpVko6Oj2yz4NmrUKDZs2IDH46GqqorQ0FBpc6JbbDYboaGhbQYG8/uBgYEdLji22Ww4nc7vNBWhKArBwcGt+lZx8fpdsDAXCt16661kZ2ezZs0aFi5ciK7rDB8+nLvvvpuZM2cSGRnZoqMMCQkhMzOT3bt3k5GRwZAhQ1pcU1VVUlJS+M1vfsMf/vAH5s+fj8vlYvbs2ezevZuYmJguhYr6+npWrVpl7dE203BDQwM//vGP2+y8zV0nt99+uzw59jOnTp2isbERRVHa3aYXFBRkFYE7evQo6enp7V5P13UOHz5sbY1ua8TCZrNZ7ay+vp7Tp093OAoihOhf+l2wgP8LF3FxcTz11FMsWbKkRVVBc81Fcy6Xi9tvv50f/vCHGIbRav++2eEmJSXxq1/9iieffNJah2FesyvcbjePPvooDz30ULcWxZmFvmQRUf9jtpOuBMqePpDJ7/fLLiQhRAv9MliYVFXt0r5+87WdhQNz5EJVVVwuV7fvx1wg9F2H9oRornlBuK4UtOrqNQFrO6EQQpj63XZTIb5PgoKCrD/s7Y0aVFRU0NTUhKIonW6/s9lsVp2Xtq5prsMw67W4XK5W04ZCiP5NgoUQV7C4uDhrdKy8vLzV9w3DoKKiAq/X26L8fHsURSE5ORlFUfB6vdbZHs2ZwQK45MFCTj4V4sojwUKIK1hsbCyBgYEYhsGJEyfa/CNcWVmJz+dj4MCBHZ5T03ydkM1mw+PxUF5e3mL7nTlicfbsWRwOB7GxsYSHh1+ysxjKysooKyuTcCHEFUSChRBXsODgYKZPn47D4WDXrl0tqq6aT/vffPMNTU1NzJw5k+Dg4FYhoPkfbUVRiIiIYPr06Zw/f55Dhw61qtSp6zpHjx4lLCyMSZMmXZLTes0As3HjRmpqaiRYCHEFkWAhxBXKrD54xx134Ha7qaiosGpQwLd/nE+fPk1VVRVAq3MTmhdha/6H2+VyMW/ePIAW7zffc+TIETweDwMHDuTmm2++ZKMVlZWVrF69usMjtIUQfY8ECyH6GLNI2oWHHrV1BozNZmPUqFHcc889KIrCZ599htfrRdM065THsrIyFixYwJgxY6xzGTRNo6ysjI8++oidO3e22IZqt9vJzMzklltuoaSkhMLCQvx+P36/H03T+OCDD3A4HDzwwANdql9x4c/Q2Ze5hfW1117jxhtv7LGdLEKIy0OChRB9iGEYeL1e6urqKC8vx+v14vf7rfNrzJMXTWZNlp///OdMnTqVF198kdzcXOrq6iguLubtt98mKiqKBx54oMU0SG1tLW+88QZz585lxowZfP7559Y1VVVl0KBBPPjgg2PUg9IAAA20SURBVPh8Pt555x1OnjxJTU0Nubm5rF27lhtuuIF58+Z1enKkeZ5JQ0MDJ06coKyszDqBsrq6mvr6ehoaGmhsbKSxsZG6ujqqqqpYs2YNq1evZsKECV06nVII0XcohkxeCtFnNDY2kp2dzZYtW9iyZQtnz55FVVWSk5P54Q9/yIQJE5g4cWKL9zQvA//EE09QXl7O9OnTOXjwIEFBQSxatIhhw4bhcDiswm91dXWsX7+eF198EV3XWblyJdOmTWt1L9u3b+cPf/gDgwYNYvDgwezYsYPrr7+eBQsWEB4e3mltF7/fT2FhIdu2bWPHjh3k5OSgaRo2m42pU6eSkZEB0CLwHDhwgJycHJqamti0aRNxcXFyrLoQVxAJFkL0IU1NTRw5coQTJ060+p7dbicpKYkRI0a0W9rd4/GQn5/PuXPnGDx4MCkpKW0urjQMg9raWg4fPozb7SY1NbXNomyGYXD27FkOHz6MpmkMHz6c2NjYdo+6vpCmaZSUlFBQUNDhAszm6z5MbrebzMxMmQoR4gojwUKIPqT5eoQLmZVZOxolMN9vnh/TUQAw13AYhtHh68z7aX6Me3emJnRdtyp1dof5s8o0iBBXFgkWQgghhOgxMnEphBBCiB4jwUIIIYQQPUaChRBCCCF6jAQLIYQQQvQYCRZCCCGE6DESLIQQQgjRYyRYCCGEEKLHSLDoQZqmUV5ezunTp3v7VoQQQoheIcGihxiGQXV1NR988AFfffVVb9+OEB1qXnWzsy8hhOgOe2/fwPeBrut4vV6ysrJ48803ueuuu3r7loRok3meyMGDB6murm5VrtssF26z2YiPjyc6Oprg4GDsdruU1hZ9lhmAzXL2QKuS9mZQ7m5JetF9Eix6gK7rlJaW8swzz+DxeBg4cGBv35IQ7fL5fBQXF7Nnzx727NlDVVUVqqoyduxYJk6ciM1m49ChQ+Tn55OcnMycOXOYNGkSISEhcsqo6DOaj6r5/X6qq6s5efIklZWVaJpGeHg4qampREREAN+enFtdXU1sbCxut7uX7/77TYLFd2Q26mXLlpGfn8+IESOk0Yo+S1EUgoKCmDFjBuPHj6e+vp5XX32VwMBAli1bxvjx41FVldraWv75z3+ycuVKtm7dyuLFi7n77rsJDw/v7R9BCAzDQNM0Ghoa+OKLL/jnP//J8ePHSUtLIzExEVVV2blzJ5s2bSI1NZUpU6ZQXFxMYGAgP//5z6WPvsQkWHwHhmHg8/l47733WL9+PX6/H4fDgcvl6u1bE6JdqqoSFhaGw+EgJCQETdO45pprSE1NZcCAAdjtdgYMGMDs2bMpKiri1Vdf5YUXXmDcuHFMnTpVRi1Er9I0Db/fz4EDB1i6dCklJSXMnz+fxx57jAEDBuBwOIBvR+bmzJnDz372M/7rv/4LRVFYuHAhTqezl3+C7z/pIb4DwzA4duwYv/jFLxgzZgyKohASEiJTIaLPMwyDqqoqKioqALjmmmuIiIiwQoOiKAwcOJAxY8YAUFJSwq5du6irq5MFnaLX6LpOTU0NL774IjfeeCNFRUWsWrWKf/u3f2PIkCGEhobidrtxu92EhoYyZswYVq5ciWEYxMfHM3HiROx2eZ6+1CRYXCRN06iqqmLZsmX84he/ICwszFr8Zi6AE6Kv0nWdEydOcOjQIRRF4eqrryY0NLTVojYzaBiGQWlpKU1NTRIsRK/w+/0cP36cp556imeffZb4+HhWrlzJxIkTcTgc2O12VFXFZrNhs9lQVRWHw0F8fDzz5s0jJiaG4cOHy4jbZSC/4YvU0NDAX/7yF4KCgpgzZw5VVVUABAYGEhYW1st3J0THfD4fR48epaioiPDwcAYPHozT6WwRLMz1Q6bg4GAJzaLXlJWV8dxzz7F+/XoCAgL4/e9/z5QpU3A4HB3u8nA6nYwYMYLo6Ghr/YW4tCRYdJO5ruLLL79k7969PPjgg4SGhpKbm4thGAQEBMjCINHnnT9/nsLCQurq6khPT2fQoEGtQkVlZSWFhYUYhkF0dDTjx48nODhYtuqJy0rXderq6tiwYQMfffQRHo+Hu+66i6lTp6KqaqftUVVVIiMjSUxMtEaWxaUlk03dZBgGJ06c4MMPP2TmzJkMHTrUSsAOh4MBAwZIwxV9XmVlJXl5eQCMGDGCyMhI4P/qATQ1NbFz504++ugjAG655RbS0tIICAjonRsW/Zau63z99df89a9/5cSJE4wfP5758+fjcDi6NK2hqiqpqakMHDhQ+ubLRIJFN1VVVfH3v/+dqKgopk+fjtPp5Pjx4wC4XK5WT35C9DW6rnPq1Cn27t2Ly+Vi6NChBAUF4fP50HWd2tpatmzZwqpVq/B4PCxYsIBFixYxaNCg3r510Q9VVlayadMmcnNzsdlszJ07l4SEhC6vlXA4HIwePRpA+ubLRIJFF5nzzZs3byY/P5+f/vSnxMXFoSgKlZWVGIaBzWZrNU8tRF9iVt48cuQIFRUVREdHc/r0abZt24aqquTl5bF9+3bKysq49tpreeihh8jMzOxWRy5ETzEMg6NHj7J582YaGxsZNGgQEydOJCgoqMvt0WazERoaeonvVDQnwaKLNE2joKCArKwsZsyYwbhx41BV1SrSAuB2u0lNTZUOWPRZ5na9r776CsMwSExMJCQkhDNnzlBSUsJbb71FRUUFEydOZNasWUydOrVbnbgQPcUMwbm5ueTl5aEoCtOmTWPQoEHSHvs4CRZdYO75f/fdd/H5fNx0002oqorP50PTNA4dOoRhGKiqisvlkhEL0WeZh+Xt2rULRVHIzMzk/vvvx263o2kaCxYsYMWKFaxbt44lS5awePFi7rzzTjkrRFx2hmFQW1vL4cOH8Xg8BAQEMHToUBl9uAJIsOiEYRjWAWNvvPEGo0eP5sknn0RRFKusbE5ODrquo6qqrJoXfZqmaRQWFnLq1Cni4uIYNWqUtT3aMAyCg4P5n//5H2pqavjHP/7Br3/9a2w2G/fdd1+XVuAL0VPMEFxQUGA9uKWkpBAUFNTbtyY6IcGiE5qmWUPEjz/+OOnp6VblNl3X8fv9PPvss+Tl5eF0OomJienlOxaifT6fj3379qHrOikpKVx11VWthpUDAwP50Y9+xD/+8Q9Onz7N9u3buemmm0hKSpJgIS4bc2u/OdU8cOBAwsLCZBrkCiDBogOGYVBXV8fLL79MUFAQd999d4tzQAzDoKmpiYCAAOuIXvN/C9EXeTwePvnkE3RdJz4+nuTk5FavMZ8MbTab9Rmor6+XipuiV0VGRsqI8BVCgkU7DMOgsbGR999/n2PHjvG73/0Ol8vVIi3ruo5hGJw6dQqAgIAAIiMjpeGLPscwDGubaW5uLiEhIYwYMaLNKrHmornmpE2LvkICbt8nY0rt0HWdL774gvXr1/PYY4+RkpLSqnM1O+uDBw9ac4But1s6YdEnaZrGF198ga7rxMbGMnny5DYPZNI0jePHj6PrOvDtk2J4eLi0a3HZ2e12q5JxQ0MDTU1NvXxHoiskWLTBXKz5+9//nmnTppGWloaiKG12rBUVFfj9fgzDaPElRF9izldv3LgRwzCIjIxk9OjRLUbgzMXINTU1vPXWW9Z0SUZGhlQtFJedzWYjPDyckSNHYrPZOHv2LKWlpfh8vi5fQ/rj3iHBohlzzURWVha/+93v2Lt3LzExMW1utdN13Zoq0TQNRVHweDyUlJRYUyRC9AVmYMjPz2ffvn0EBAQwbNgwoqKirN1Nuq6jaRp1dXX86U9/Ytu2bQBMnDiRm266SdYOictOURQiIyNJT08nPDwcj8fD119/TXV1dZf6V7Nd5+XlSX98mam/+tWvftXbN9FXFBQUsHTpUl5++WUOHTqEz+cjJyeHb775hunTp1sda01NDX/961/55S9/yUcffURDQwOqqtLY2MiuXbsoKSkhKirK6riF6A3m05rf78fr9fL888+TlZVFWFgYd999N1dddZXV+Xq9Xg4fPszSpUtZt24dhmFw2223sWTJkhbn4QhxuZgL4t1uN2fOnCE/P5/CwkKmTZtmVYJtr3/VdR1d1/njH/+I2+2WHU2XmSzebGbgwIHMmzeP2bNnW/PLqqoSEhLSIvHabDauvfZaEhMTW4xOmB+EkJAQ2XYq+oTjx4+zc+dO3n77bXbu3GlVi/3ss8/w+Xy4XC6qq6v58ssv2b9/P5WVlaSlpfHTn/6U66+/ntDQUNneJ3qNoigMHjyY+fPnc/jwYbKzs1m6dCmvvPIKycnJqKraajoPsELF4MGDycjIkFBxmSmGjBFZzJTb/Fdirq1ono7Np7z25u9sNpvV2KVBi95iGAaFhYXk5eXR0NCApmlWe7XZbK1GIYYNG8agQYOIiYmx2nBHT4VCXA5mv7x9+3aWLl1Kbm4uw4YN45e//CXjx4/H6XRis9msukKlpaW8/fbbZGZmcv3117cKH+LSk2AhxPeUGXzNjrkjFwZoCROir/F6vZSUlPD3v/+djRs30tDQwNixYxk/fjzBwcE0NDRw8uRJkpKSuPXWW4mLi8Nut0uo6AUSLIT4nuvOR1wCheirmu+683g8FBUV8c0332AYBi6Xi9jYWBISEggODrbeI+25d0iwEEIIcUW5cDq6rSlr0XskWAghhBCix8jkkxBCCCF6jAQLIYQQQvQYCRZCCCGE6DH/DxVOmzxM6k85AAAAAElFTkSuQmCC)
What will be the work done by
gas when valve 2 is opened and value 1 remains closed?
The figure given below shows three glass chambers that are connected by valves of negligible volume. At the outset of an experiment, the valves are closed and the chambers contain the gases as detailed in the diagram. All the chambers are at the temperature of 300 K and external pressure of 1.0 atm
atm
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)
What will be the work done by
gas when valve 2 is opened and value 1 remains closed?
chemistry-General
chemistry-
In simple cubic lattice, the spheres are packed in the form of a square array by laying down a base of spheres and then piling upon the base other layers in such a way that each sphere is immediately above the other sphere. In this structure, each sphere is in contact with six nearest neighbours. The percentage of occupied volume in this structure can be calculated as follows
The edge length ‘
’ of the cube will be twice the radius of the sphere,
. Since, in the primitive cubic lattice, there is only one sphere present in the unit lattice, the volume occupied by the sphere is
![](data:image/png;base64,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)
or ![V equals fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent](data:image/png;base64,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)
The fraction of the total volume occupied by the sphere is
![ϕ equals fraction numerator fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent over denominator a to the power of 3 end exponent end fraction equals fraction numerator pi over denominator 6 end fraction equals 0.5236 blank o r blank 52.36 percent sign](data:image/png;base64,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)
In a simple cubic cell, an atom at the corner contributes to the unit cell
In simple cubic lattice, the spheres are packed in the form of a square array by laying down a base of spheres and then piling upon the base other layers in such a way that each sphere is immediately above the other sphere. In this structure, each sphere is in contact with six nearest neighbours. The percentage of occupied volume in this structure can be calculated as follows
The edge length ‘
’ of the cube will be twice the radius of the sphere,
. Since, in the primitive cubic lattice, there is only one sphere present in the unit lattice, the volume occupied by the sphere is
![](data:image/png;base64,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)
or ![V equals fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent](data:image/png;base64,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)
The fraction of the total volume occupied by the sphere is
![ϕ equals fraction numerator fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator a over denominator 2 end fraction close parentheses to the power of 3 end exponent over denominator a to the power of 3 end exponent end fraction equals fraction numerator pi over denominator 6 end fraction equals 0.5236 blank o r blank 52.36 percent sign](data:image/png;base64,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)
In a simple cubic cell, an atom at the corner contributes to the unit cell
chemistry-General