Class 12th Chemistry Part I CBSE Solution
Intext Questions Pg-4- Why are solids rigid?
- Why do solids have a definite volume?
- Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene,…
- Why is glass considered a super cooled liquid?
- Refractive index of a solid is observed to have the same value along all directions.…
Intext Questions Pg-6- Classify the following solids in different categories based on the nature of…
- Solid A is a very hard electrical insulator in solid as well as in molten state and melts…
- Ionic solids conduct electricity in molten state but not in solid state. Explain.…
- What type of solids are electrical conductors, malleable and ductile?…
Intext Questions Pg-12- Give the significance of a ‘lattice point’,
- Name the parameters that characterize a unit cell
- Hexagonal and monoclinic unit cells Distinguish between
- Face-centred and end-centred unit cells. Distinguish between
- Explain how many portions of an atom located at (i) corner and (ii) body-center of a cubic…
Intext Questions Pg-21- What is the two dimensional coordination number of a molecule in square close-packed…
- A compound forms hexagonal close-packed structure. What is the total number of voids in…
- A compound is formed by two elements M and N. The element N forms ccp and atoms of M…
- Which of the following lattices has the highest packing efficiency (i) simple cubic (ii)…
- An element with molar mass 2.7×10-2 kg mol-1 forms a cubic unit cell with edge length 405…
Intext Questions Pg-29- What type of defect can arise when a solid is heated? Which physical property is affected…
- What type of stoichiometric defect is shown by? (i) ZnS (ii) AgBr…
- Explain how vacancies are introduced in an ionic solid when a cation of higher valence is…
- Ionic solids, which have anionic vacancies due to metal excess defect, develop colour.…
- A group 14 element is to be converted into n-type semiconductor by doping it with a…
- What type of substances would make better permanent magnets, ferromagnetic or…
Exercises- Define the term 'amorphous'. Give a few examples of amorphous solids.…
- What makes a glass different from a solid such as quartz? Under what conditions quartz…
- Classify each of the following solids as ionic, metallic, molecular, network (covalent) or…
- What is meant by the term 'coordination number'?
- What is the coordination number of atoms: (a) in a cubic close-packed structure? (b) in a…
- How can you determine the atomic mass of an unknown metal if you know its density and the…
- 'Stability of a crystal is reflected in the magnitude of its melting points'. Comment.…
- Hexagonal close-packing and cubic close-packing? How will you distinguish between the…
- Crystal lattice and unit cell? How will you distinguish between the following pairs of…
- Tetrahedral void and octahedral void? How will you distinguish between the following pairs…
- Face-centred cubic How many lattice points are there in one unit cell of each of the…
- Face-centred tetragonal How many lattice points are there in one unit cell of each of the…
- Body-centred How many lattice points are there in one unit cell of each of the following…
- The basis of similarities and differences between metallic and ionic crystals. Explain…
- Ionic solids are hard and brittle. Explain
- simple cubic Calculate the efficiency of packing in case of a metal crystal for…
- body-centred cubic Calculate the efficiency of packing in case of a metal crystal for…
- face-centred cubic (with the assumptions that atoms are touching each other). Calculate…
- Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10-8 cm and…
- A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube…
- Niobium crystallises in body-centred cubic structure. If density is 8.55 g cm-3, calculate…
- If the radius of the octahedral void is r and radius of the atoms in close packing is R,…
- Copper crystallises into a fcc lattice with edge length 3.61 × 10-8 cm. Show that the…
- Analysis shows that nickel oxide has the formula Ni0.98O1.00. What fractions of nickel…
- What is a semiconductor? Describe the two main types of semiconductors and contrast their…
- Non-stoichiometric cuprous oxide, Cu2O can be prepared in laboratory. In this oxide,…
- Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of…
- Ge doped with In Classify each of the following as being either a p-type or a n-type…
- Si doped with B. Classify each of the following as being either a p-type or a n-type…
- Gold (atomic radius = 0.144 nm) crystallises in a face-centred unit cell. What is the…
- Between a conductor and an insulator In terms of band theory, what is the difference?…
- Between a conductor and a semiconductor? In terms of band theory, what is the difference?…
- Schottky defect Explain the following terms with suitable examples:…
- Frenkel defect Explain the following terms with suitable examples:…
- Interstitials Explain the following terms with suitable examples:…
- F-centres. Explain the following terms with suitable examples:
- Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm.…
- If NaCl is doped with 10-3 mol % of SrCl2, what is the concentration of cation vacancies?…
- Ferromagnetism Explain the following with suitable examples:
- Paramagnetism Explain the following with suitable examples:
- Ferrimagnetism Explain the following with suitable examples:
- Antiferromagnetism Explain the following with suitable examples:
- 12-16 and 13-15 group compounds. Explain the following with suitable examples:…
- Why are solids rigid?
- Why do solids have a definite volume?
- Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene,…
- Why is glass considered a super cooled liquid?
- Refractive index of a solid is observed to have the same value along all directions.…
- Classify the following solids in different categories based on the nature of…
- Solid A is a very hard electrical insulator in solid as well as in molten state and melts…
- Ionic solids conduct electricity in molten state but not in solid state. Explain.…
- What type of solids are electrical conductors, malleable and ductile?…
- Give the significance of a ‘lattice point’,
- Name the parameters that characterize a unit cell
- Hexagonal and monoclinic unit cells Distinguish between
- Face-centred and end-centred unit cells. Distinguish between
- Explain how many portions of an atom located at (i) corner and (ii) body-center of a cubic…
- What is the two dimensional coordination number of a molecule in square close-packed…
- A compound forms hexagonal close-packed structure. What is the total number of voids in…
- A compound is formed by two elements M and N. The element N forms ccp and atoms of M…
- Which of the following lattices has the highest packing efficiency (i) simple cubic (ii)…
- An element with molar mass 2.7×10-2 kg mol-1 forms a cubic unit cell with edge length 405…
- What type of defect can arise when a solid is heated? Which physical property is affected…
- What type of stoichiometric defect is shown by? (i) ZnS (ii) AgBr…
- Explain how vacancies are introduced in an ionic solid when a cation of higher valence is…
- Ionic solids, which have anionic vacancies due to metal excess defect, develop colour.…
- A group 14 element is to be converted into n-type semiconductor by doping it with a…
- What type of substances would make better permanent magnets, ferromagnetic or…
- Define the term 'amorphous'. Give a few examples of amorphous solids.…
- What makes a glass different from a solid such as quartz? Under what conditions quartz…
- Classify each of the following solids as ionic, metallic, molecular, network (covalent) or…
- What is meant by the term 'coordination number'?
- What is the coordination number of atoms: (a) in a cubic close-packed structure? (b) in a…
- How can you determine the atomic mass of an unknown metal if you know its density and the…
- 'Stability of a crystal is reflected in the magnitude of its melting points'. Comment.…
- Hexagonal close-packing and cubic close-packing? How will you distinguish between the…
- Crystal lattice and unit cell? How will you distinguish between the following pairs of…
- Tetrahedral void and octahedral void? How will you distinguish between the following pairs…
- Face-centred cubic How many lattice points are there in one unit cell of each of the…
- Face-centred tetragonal How many lattice points are there in one unit cell of each of the…
- Body-centred How many lattice points are there in one unit cell of each of the following…
- The basis of similarities and differences between metallic and ionic crystals. Explain…
- Ionic solids are hard and brittle. Explain
- simple cubic Calculate the efficiency of packing in case of a metal crystal for…
- body-centred cubic Calculate the efficiency of packing in case of a metal crystal for…
- face-centred cubic (with the assumptions that atoms are touching each other). Calculate…
- Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10-8 cm and…
- A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube…
- Niobium crystallises in body-centred cubic structure. If density is 8.55 g cm-3, calculate…
- If the radius of the octahedral void is r and radius of the atoms in close packing is R,…
- Copper crystallises into a fcc lattice with edge length 3.61 × 10-8 cm. Show that the…
- Analysis shows that nickel oxide has the formula Ni0.98O1.00. What fractions of nickel…
- What is a semiconductor? Describe the two main types of semiconductors and contrast their…
- Non-stoichiometric cuprous oxide, Cu2O can be prepared in laboratory. In this oxide,…
- Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of…
- Ge doped with In Classify each of the following as being either a p-type or a n-type…
- Si doped with B. Classify each of the following as being either a p-type or a n-type…
- Gold (atomic radius = 0.144 nm) crystallises in a face-centred unit cell. What is the…
- Between a conductor and an insulator In terms of band theory, what is the difference?…
- Between a conductor and a semiconductor? In terms of band theory, what is the difference?…
- Schottky defect Explain the following terms with suitable examples:…
- Frenkel defect Explain the following terms with suitable examples:…
- Interstitials Explain the following terms with suitable examples:…
- F-centres. Explain the following terms with suitable examples:
- Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm.…
- If NaCl is doped with 10-3 mol % of SrCl2, what is the concentration of cation vacancies?…
- Ferromagnetism Explain the following with suitable examples:
- Paramagnetism Explain the following with suitable examples:
- Ferrimagnetism Explain the following with suitable examples:
- Antiferromagnetism Explain the following with suitable examples:
- 12-16 and 13-15 group compounds. Explain the following with suitable examples:…
Intext Questions Pg-4
Question 1.Why are solids rigid?
Answer:- Solids can be defined as any substance that has a definite shape, has mass and occupies volume.
- The intermolecular spaces between the molecules forming the solid structures are smaller.
- The intermolecular forces are strong.
- The constituent particles (atoms, molecules, nuclei, etc.) has a fixed position and they can oscillate only about their mean position.
- They are incompressible and rigid.
Question 2.Why do solids have a definite volume?
Answer:Solids have strong intermolecular forces of attraction. The constituent particles of solids cannot move from their position they can only vibrate from their mean position. That is why solids have a definite volume.
Question 3.Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, teflon, potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.
Answer:![](data:image/png;base64,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)
Explanation: Amorphous solids are not true solids, in these solids the constituent particles (atoms, ions or molecules) have short range order of arrangement.
In crystalline solids the constituent particles have long range order of arrangement)
Question 4.Why is glass considered a super cooled liquid?
Answer:Glass is an amorphous solid and all the amorphous solids have a tendency to flow, though very slowly. Hence glass is considered a super cooled liquid and that becomes the reason why the glass windows become slightly thicker at the bottom that at the top over a period of time.
Explanation: All amorphous solids have tendency to flow as rubber, plastic.
Question 5.Refractive index of a solid is observed to have the same value along all directions.
Comment on the nature of this solid. Would it show cleavage property?
Answer:Isotropic solids have the same value of the reflective index in all the direction. All isotropic solids are amorphous solids. Amorphous solids cut into two pieces with irregular surfaces. Therefore, amorphous solids do not show cleavage. Anisotropic solid is a solid material in which the physical properties do not depend on its orientation.
Explanation: Amorphous solids do not show cleavage property because of an irregular arrangement of particles. When amorphous solids are cut with the sharp-edged tool the newly generated surfaces are irregular and not smooth.
Why are solids rigid?
Answer:
- Solids can be defined as any substance that has a definite shape, has mass and occupies volume.
- The intermolecular spaces between the molecules forming the solid structures are smaller.
- The intermolecular forces are strong.
- The constituent particles (atoms, molecules, nuclei, etc.) has a fixed position and they can oscillate only about their mean position.
- They are incompressible and rigid.
Question 2.
Why do solids have a definite volume?
Answer:
Solids have strong intermolecular forces of attraction. The constituent particles of solids cannot move from their position they can only vibrate from their mean position. That is why solids have a definite volume.
Question 3.
Classify the following as amorphous or crystalline solids: Polyurethane, naphthalene, benzoic acid, teflon, potassium nitrate, cellophane, polyvinyl chloride, fibre glass, copper.
Answer:
Explanation: Amorphous solids are not true solids, in these solids the constituent particles (atoms, ions or molecules) have short range order of arrangement.
In crystalline solids the constituent particles have long range order of arrangement)
Question 4.
Why is glass considered a super cooled liquid?
Answer:
Glass is an amorphous solid and all the amorphous solids have a tendency to flow, though very slowly. Hence glass is considered a super cooled liquid and that becomes the reason why the glass windows become slightly thicker at the bottom that at the top over a period of time.
Explanation: All amorphous solids have tendency to flow as rubber, plastic.
Question 5.
Refractive index of a solid is observed to have the same value along all directions.
Comment on the nature of this solid. Would it show cleavage property?
Answer:
Isotropic solids have the same value of the reflective index in all the direction. All isotropic solids are amorphous solids. Amorphous solids cut into two pieces with irregular surfaces. Therefore, amorphous solids do not show cleavage. Anisotropic solid is a solid material in which the physical properties do not depend on its orientation.
Explanation: Amorphous solids do not show cleavage property because of an irregular arrangement of particles. When amorphous solids are cut with the sharp-edged tool the newly generated surfaces are irregular and not smooth.
Intext Questions Pg-6
Question 1.Classify the following solids in different categories based on the nature of
intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc sulphide,
graphite, rubidium, argon, silicon carbide.
Answer:![](data:image/png;base64,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)
Explanation: Ionic solids are those in which constituents particles are cations and anions which are held together by columbic force of interactions
e.g.- K2SO4⇒ K+ + SO4—
Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
Molecular solids are made up on molecules or inert gases.
In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
Note: Though in solid argon the constituent particles are atoms even it is categorised as molecular solid because the particles are held together by vander waal forces so all solids of zero group elements are placed under the category of molecular solids.)
Question 2.Solid A is a very hard electrical insulator in solid as well as in molten state and melts at extremely high temperature. What type of solid is it?
Answer:The solid ‘A’ is a covalent solid, such as diamond. As it is an electrical insulator in both solid and molten form and melts at an extremely high temperature.
Explanation-In covalent solids the constituent particles (i.e. atoms) form a network of covalent bonds which make them very hard and also very high melting points.
Further they are electrical insulator in solid as well as in molten state because they do not contain any ion (like ionic solids) or free electrons (like metallic solids) in solid or in molten state.
(Note- For any compound to show electrical conductivity either free electrons or free ion must be available.)
Question 3.Ionic solids conduct electricity in molten state but not in solid state. Explain.
Answer:The ionic solids conduct electricity in molten state as the constituent particles of ionic solid are not free to move in solid state, thus ionic solids are insulators in their solid state. While the ions become free to move in the molten state
Question 4.What type of solids are electrical conductors, malleable and ductile?
Answer:Metallic solids have these properties.
Explanation: They are electrical conductors, are malleable and ductile, which means it could be drawn into thin wires. The metals are orderly free collection of positive ions surrounded by and held together by a sea of free electrons. These free and mobile are responsible for high electrical and thermal conductivity of metals.
Classify the following solids in different categories based on the nature of
intermolecular forces operating in them:
Potassium sulphate, tin, benzene, urea, ammonia, water, zinc sulphide,
graphite, rubidium, argon, silicon carbide.
Answer:
Explanation: Ionic solids are those in which constituents particles are cations and anions which are held together by columbic force of interactions
e.g.- K2SO4⇒ K+ + SO4—
Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
Molecular solids are made up on molecules or inert gases.
In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
Note: Though in solid argon the constituent particles are atoms even it is categorised as molecular solid because the particles are held together by vander waal forces so all solids of zero group elements are placed under the category of molecular solids.)
Question 2.
Solid A is a very hard electrical insulator in solid as well as in molten state and melts at extremely high temperature. What type of solid is it?
Answer:
The solid ‘A’ is a covalent solid, such as diamond. As it is an electrical insulator in both solid and molten form and melts at an extremely high temperature.
Explanation-In covalent solids the constituent particles (i.e. atoms) form a network of covalent bonds which make them very hard and also very high melting points.
Further they are electrical insulator in solid as well as in molten state because they do not contain any ion (like ionic solids) or free electrons (like metallic solids) in solid or in molten state.
(Note- For any compound to show electrical conductivity either free electrons or free ion must be available.)
Question 3.
Ionic solids conduct electricity in molten state but not in solid state. Explain.
Answer:
The ionic solids conduct electricity in molten state as the constituent particles of ionic solid are not free to move in solid state, thus ionic solids are insulators in their solid state. While the ions become free to move in the molten state
Question 4.
What type of solids are electrical conductors, malleable and ductile?
Answer:
Metallic solids have these properties.
Explanation: They are electrical conductors, are malleable and ductile, which means it could be drawn into thin wires. The metals are orderly free collection of positive ions surrounded by and held together by a sea of free electrons. These free and mobile are responsible for high electrical and thermal conductivity of metals.
Intext Questions Pg-12
Question 1.Give the significance of a ‘lattice point’,
Answer:The points in a crystal lattice where atoms or ions can be placed are called as lattice points. Lattice Points can be vacant or filled.
The number of lattice points can be different as well as can be arranged in different ways which give rise to the different crystal lattice.
Given below is a diagram of the crystal lattice and the lattice points:
![](data:image/jpeg;base64,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Question 2.Name the parameters that characterize a unit cell
Answer:There are a total of six parameters that characterize a unit cell.
i. Dimensions of a unit cell (also called the edges): a, b and c.
ii. The angles between the edges: α, β and γ
The variation of these 6 parameters leads to different shapes and sizes of the unit cell, shown as below:
![](data:image/jpeg;base64,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)
Where a, b and c are technically the vectors of the unit cell. The angle α is between edges b and c; the angle β is between the edges α and γ; γ is the angle between a and b.
Question 3.Distinguish between
Hexagonal and monoclinic unit cells
Answer:![](data:image/png;base64,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)
Question 4.Distinguish between
Face-centred and end-centred unit cells.
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAjsAAAKzCAYAAAD4NczuAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4XuydB7wlRZn2+05mZmDISJIRdEFFQBdzmlVU1ogupjUwhjWsKJjWLFeComJWVFwVBRUXRD4FFeMIKAZAUVQMyJUsDHlmmDzf8z+3aqgp+nT3uffc0Jfnnd8z3VX9Vnqq6q23q/v0LQqLGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYganLwECDpm1ooGMVM2AGzIAZMANmwAy0lgE7O63tOlfcDNQy4PldS5EVzIAZaDkDG6a1vAGuvhkwA2bADJgBM2AGKhmws1NJjy+aATNgBsyAGTADbWfAzk7be9D1NwNmwAyYATNgBioZsLNTSY8vmgEzYAbMgBkwA21nwM5O23vQ9TcDZsAMmAEzYAYqGbCzU0mPL5oBM2AGzIAZMANtZ8DOTtt70PU3A2bADJgBM2AGKhmws1NJjy+aATNgBsyAGTADbWfAzk7be9D1NwNmwAyYATNgBioZsLNTSY8vmgEzYAbMgBkwA21nwM5O23vQ9TcDZsAMmAEzYAYqGbCzU0mPL5oBM2AGzIAZMANtZ8DOTtt70PU3A2bADJgBM2AGKhmws1NJjy+aATNgBsyAGTADbWfAzk7be9D1NwNmwAyYATNgBioZsLNTSY8vmgEzYAbMgBkwA21nwM5O23vQ9TcDZsAMmAEzYAYqGbCzU0mPL5oBM2AGzIAZMANtZ8DOTtt70PU3A2bADJgBM2AGKhmws1NJjy+aATNgBsyAGTADbWfAzk7be9D1NwNmwAyYATNgBioZsLNTSY8vmgEzYAbMgBkwA21nwM5O23vQ9TcDZsAMmAEzYAYqGbCzU0mPL5oBM2AGzIAZMANtZ8DOTtt70PU3A2bADJgBM2AGKhmws1NJjy+aATNgBsyAGTADbWfAzk7be9D1NwNmwAyYATNgBioZsLNTSY8vmgEzYAbMgBkwA21nwM5O23vQ9TcDZsAMmAEzYAYqGbCzU0mPL5oBM2AGzIAZMANtZ8DOTtt70PU3A2bADJgBM2AGKhmws1NJjy+aATNgBsyAGTADbWfAzk7be9D1NwNmwAyYATNgBioZsLNTSY8vmgEzYAbMgBkwA21nwM5O23vQ9TcDZsAMmAEzYAYqGbCzU0mPL5oBM2AGzIAZMANtZ8DOTtt70PU3A2bADJgBM2AGKhmws1NJjy+KgacKGxKcYlbMwBgzcFw25l41xuXdnbM313fn3nfbN2GAha5KHqWL6WJYdb53VUZ302vPUrsHA7acpBzskvSxnZ1J2kkjrFY/5/eiEdahLNkLkzHXZmfnDWrHoHB4WSMnSdxU4XqS0OlqTEIG6uxcp8qNlKT3w6CL/oEljb1OcXZ27krMyQlvC+96eVLE2NmZFN0wJpUYyfw+oKQmlyhuUUn8SKOmygJ8lQiA46GREjEO6aYK1+NAlYtoKQMbxvMx1kdE0vUtJcrVNgNmoJqBz+ryP6pVfNUMmAEzMDEMjIezs0RNO0h4v3Av4f8JGMUbheXCbwS2eqcLqQwo8JpwfYWONwi/F44X9ksUt9b5x4QhAb1/Cl8Sdk506k73lMJXBXafVgl/F74vvF6gHlF4f+Wnwm3CMoG6v/jOy516pY/xzlP4OcKfhTuEi4RHJPqX6vwFSfhynZP+0CTu/jo/VaD9tO8y4WhhdtDhLjsv8wmK4057rfC3oAe/8AyH1P1WgTY+LFyPB9r7ZoFy4OK3JTpZEgfvxgycpra/XPiEwPjlcU06Ho9R+CiBucW8OUvYSUhlCwVwlrgZYoyjc49NVUYVeqJSs/PMmKcOfxV4HPuMJNcm86OXtlF/eIh2aLcQJi7d4a6zKU3nd1M7ONZcJ5T61Ay0iwEmZxPp9hhriRLj7CAYi18LTExkXwEDRBnHhrh4+HyIX6PjMwUcs/sJ1wos9sjmwh8F0uNEzRS4RnhI2FKoE5yJWAfasI1APvHFvRkhAwx6NOIP0TkGGweEOJwiZJ7wqBBH/FIB5+zfhVhP6r+ZEOVkncR8FybxnMIPjgnXcUBwcH4SwrQX2VFYHOLQw7nB0cGx+WYI61DEcq7QOW3EIUJ/pZA6PO8J8VzDafxP4cIkzu/siIwpJPRzE0nnNwtwlOjsxDDz4rVCHNNX65x5/1yBmxviz4jKOuJcxzG9TudvE3hHh5uWmAfhkQo3I+tDXu/TcY6A/aHM85JMm8yPXttG9leFsoeSsuJpE5vSZH43tYNjzXVJEx1lBiYFA43sXCMlNSc1hqsVZhEFGJro7GylcxbaVL6rAGXcLMRdlP1DHPHf21S9eJfCR4e4tyR6Lwpx903iBrO0ZcEzE/100Z+leO4yZwgYyJuCHjseUb4e4m7XEYMTJRpp2oTjhLxTiPHp7k40slxbGHTjIXLDtV1D5KuTfBYl+jFvjjhJCHx/RXioEK/jREaJC8qSEEEb4oLEHTBtR54lxPR2dgIpU+RAvzaRbvMbB4VFO5VFCsTxwvyKEvPALsS5/rhE9zuJ7seT+JE6O8xbbjioC3M0zkWKebRwHieSpvMD3UVC07ah383ZGalNKZvfTe3gWHJNWy1mYLIyMGbv7Py3WrxfwAVJ63ks8hqBnQd2UzB6bDEj7MKwxYo8KRw5/Ck555S7syNDHLsTUTBqCLstUZ4cTrbTkR2XFAsVZuv6gI3am5aFw7atsFbA+cJxQGI5nMey5usc45kLj8PYmUJuSS42ecRG3TBOUaral6h1drQuDhE4WzwmK+MJlVh/6o6j8yBhbkiLU0fbkbwPQrQPd1MGXql2x/mNA1MlPMKNEucAO5TMLSSdN6lu2ZjjBiSfx9Gxj2Wkx39VIN5c/U3ncS6ig6MT50XT+ZGXUde2XD8Nj9SmDCmTJvO7zA72wnVV3X3NDLSOgXjn3u+Kczdzacj0FToSRnikc4iAI4GTca7AlvYzuCiJd17REBLH7koqcQEmLtXjsQ67SAh3m8hu4YjzdFI4j4cP6YR3CTC8UfKyYjgt58FSxklDeLQWy7pXzCQ53lESRxSOTJ3gfGDco+C4INwRxzIXxovJ8bqSuLT+b9T1w4IO9Ui5ig4dl1MuuCu2mIHIwJU6ifObx6XsenaTujnQy5jbXoVgM1LhESuOQ5lU2RF2SGLdms6PS7JC6tpWVqcYN1KbUje/q+xgL1xX1d3XzEDrGBgrZycl4rchgGPwnHCOwcqNVpom3T2JOw1l5N6YRP6Hzr9dplQRt0zX2G2KDg9l3Vqin5bzG13njnGsBQeDO9HoALI71cTpiM5LWr+0/h/TBRyeMonvUnEtdbTYcreYgTIG/hAimd/x8U6ZXre41FHq95gbiR2pmh/d2jCS+JHalLr5XWUHx5LrkXDgNGZg3BjAQI2XsGhHp4KdnSjx0VVaj+8nAd7BSeXDCnwiRPwkubBHpseuDS87IicL7IikeJPCGI4fDat0/k/L4mXEawV2h7h75B0WhHC6M0P4fIG7zpFIygX9wcvLiwXqek6SYd4+frHCjlUTqeLpmcrg1JDJRTrGHZ1dk4zjDlmTsqxz92Tg/9Tsl42g6TxOilI35tghzudxt10d8uQRelzg763z9Obu4HAdvabzA91eJc7vaGvZAX6q0E+bUlX/1A72wnWv7bS+GWg9AxsatoBn9+iCA7uk+VW4ziOZ3QWev/NIKKZLt3Y/H+LZ3cA4YOQeKmC8Hi4gvOdzmUD6vwhxUeY9IMqoMoSkR/YW2M0hj7OFBQI7GScJ6U7R64IOevwyCocH3W8KpwmpxPakxuVQKcT45yXKb0/iH6tz3jO6Jlx/iI5slZPudIFfe1EuaS4XeNQVpazM5HLxDQXQge9F4QILALxRtyjv0UnMixdDWYDOTOJoKw6ZZWowQF83kXR+H1CSgHHx8hC/SMc4ho5OdNGJ8fcI8czrn4R4biiwCczJoUSXx67pro+CjeUQacZfY7Hwc9O1o3CxkO5wNp0fi5SuaduoJDdu6PPiP/PmA8JXuSAZrU0J2TS2g2PNdayPj2ZgsjHQyM7VKWGc4uTPjwuzFt9P4Z8JLOBXCEcIOBRpumhImZj/LXAHxG7D9QJp890MdlQ+LVwpcBc1JHxHoF5N5V+keLLATg5142VGfg2S7zpxN0gdePyF0/VH4UghPubhpc2cg18oLnV04vVjFY/wHP17Ao+owO+Fp3SuDAsvDfNeE9ve8PBX4QvCPcP1sjIpI1+QMPLsdFFnHt3RVpzPxUIq8P4/wuUCfFLea4W0XZdsksKBNjNAv1ZJ1fzOxzrOzuFCHs9YTx2deD3eFDHPThCWCozNnwvHZPl8UuGRyhOUEKeDF6S5seHRW3xvLebZZH6MpG3ccPHom3bx0jC7tdxkRBmJTSmb303t4FhznTTNp2Zg0jBQZ+c6FW2kNGma5IqYATPQCwOe372wZV0zYAbayMCY/fS8jWS4zmbADJgBM2AGzMAUZCC+NDcFm+YmmQEzYAbMgBkwA2Zg+Dsx5sEMmAEzYAbMgBkwA1OWAe/sTNmudcPMgBkwA2bADJgBGLCz43FgBsyAGTADZsAMTGkG7OxM6e5148yAGTADZsAMmAE7Ox4DZsAMmAEzYAbMwJRmwM7OlO5eN84MmAEzYAbMgBmws+MxYAbMgBkwA2bADExpBuzsTOnudePMgBkwA2bADJgBOzseA2bADJgBM2AGzMCUZsDOzpTuXjfODJgBM2AGzIAZsLPjMWAGzIAZMANmwAxMaQbs7Ezp7nXjzIAZMANmwAyYATs7HgNmwAyYATNgBszAlGbAzs6U7l43zgyYATNgBsyAGbCz4zFgBsyAGTADZsAMTGkG7OxM6e5148yAGTADZsAMmAE7Ox4DZsAMmAEzYAbMwJRmwM7OlO5eN84MmAEzYAbMgBmws+MxYAbMgBkwA2bADExpBuzsTOnudePMgBkwA2bADJgBOzseA2bADJgBM2AGzMCUZsDOzpTuXjfODJgBM2AGzIAZsLPjMWAGzIAZMANmwAxMaQbs7Ezp7nXjzIAZMANmwAyYATs7HgNmwAyYATNgBszAlGbAzs6U7l43zgyYATNgBsyAGbCz4zFgBsyAGTADZsAMTGkG7OxM6e5148yAGTADZsAMmAE7Ox4DZsAMmAEzYAbMwJRmwM7OlO5eN84MmAEzYAbMgBmws+MxYAbMgBkwA2bADExpBuzsTOnudePMgBkwA2bADJgBOzseA2bADJgBM2AGzMCUZsDOzpTuXjfODJgBM2AGzIAZsLPjMWAGzIAZMANmwAxMaQbs7Ezp7nXjzIAZMANmwAyYgYEGFGxooGMVM2AGzIAZMANmwAy0lgE7O63tOlfcDNQy4PldS5EVzIAZaDkDG/wYq+U96OqbATNgBsyAGTAD1QzY2anmx1fNgBkwA2bADJiBljNgZ6flHejqmwEzYAbMgBkwA9UM2Nmp5sdXzYAZMANmwAyYgZYzYGen5R3o6psBM2AGzIAZMAPVDNjZqebHV82AGTADZsAMmIGWM2Bnp+Ud6OqbATNgBsyAGTAD1QzY2anmx1fNgBkwA2bADJiBljNgZ6flHejqmwEzYAbMgBkwA9UM2Nmp5sdXzYAZMANmwAyYgZYzYGen5R3o6psBM2AGzIAZMAPVDNjZqebHV82AGTADZsAMmIGWM2Bnp+Ud6OqbATNgBsyAGTAD1QzY2anmx1fNgBkwA2bADJiBljNgZ6flHejqmwEzYAbMgBkwA9UM2Nmp5sdXzYAZMANmwAyYgZYzYGen5R3o6psBM2AGzIAZMAPVDNjZqebHV82AGTADZsAMmIGWM2Bnp+Ud6OqbATNgBsyAGTAD1QzY2anmx1fNgBkwA2bADJiBljNgZ6flHejqmwEzYAbMgBkwA9UM2Nmp5sdXzYAZMANmwAyYgZYzYGen5R3o6psBM2AGzIAZMAPVDNjZqebHV82AGTADZsAMmIGWM2Bnp+Ud6OqbATNgBsyAGTAD1QzY2anmx1fNgBkwA2bADJiBljNgZ6flHejqmwEzYAbMgBkwA9UM2Nmp5sdXzYAZMANmwAyYgZYzYGen5R3o6psBM2AGzIAZMAPVDNjZqebHV82AGTADZsAMmIGWM2Bnp+Ud6OqbATNgBsyAGTAD1QzY2anmx1fNgBkwA2bADJiBljNgZ6flHejqmwEzYAbMgBkwA9UM2Nmp5sdXzYAZMANmwAyYgZYzYGen5R3o6psBM2AGzIAZMAPVDNjZqebHV82AGTADZsAMmIGWM9BWZ+dx4v1C4XfCX4U3tqQf2lrvltA74dU8VTVYKmwQ5k94bVyBiWRgMxX+GeFPAefreI+JrJDL7isDj1RuQ8Ja4bi+5uzMJowBDHcvwoReI3yul0Q96G4u3RuFw0Kax+t4Sg/pJ0p1MtZ7UGQ8bKIImaTlLlK93jqKur1cadvk7Ey2+T0K6idV0neoNlcK84QB4Rxhrwms4SKVPZpxPYFVH9OiB5X7aGzgVUrfD2dnsfJ53pi2tD7zhVIZFKaiU97IzjVSSnh8k85xdm4VuLvptzAwqdN+IWMMyex+FzIG+U3GesPj4WPQ1jZnOajK3zKKBkx1Z2es5/coqJ9USb+n2pyR1Agbha2aKBlUwaMZ1xNV77Eud7Q2sF/OzhI1NB0vY93usvwXKTJdW8t02hq3YSweYz1fbLxF2EJ45hgws2XIc2U40jmrxqCcfmfZ1nr3mwfn124Gxnp+t5udO2vPfI82ilhsVK83jlOFC7fDDLSCgV4m6L+qRf8ncBdzg/D9khZepzjy5LivcIGwTDhXuE+Jfhr1KQXIN6bHq35dosA5z8j/KFwiUJdFyXVOm+ikSXhERnngoQJ53h7ChwbFPXX8ljAkXC58V7h/uMahqt7c7fHO0Z+FS4W/CG8T4l0gW9+xfOrybIH3lNYJvB+C8C7Qz4SLBN5jOlN4audKuTxK0XBHvtztcQ4WBnXeN/m4MCRQn98Lh4RrVYdddPEE4WKBuvxWGBSa7rxV9U1VP8B97BPawaNN5APCTeHam0Pca3SkXr8R4OqLwgPCtdN1vE1YL0RO4AHhGf03BdKBXwss/Lm8XBHw2pZ3dqhrUxnr+U096uZDrOu9dUJ//UOgP7EjPDraIiro2EQnUe88Zqqba+j/u0D/Mw+HBB7Zb8UFyR4CYwfnZkU4H+pcGZY6W1E1zqO9qRrDSVEbT6vGNUpPEM4X/iZcIZws7LQxdfeTF+sSj+fgnj74obB/d/VNrqQ2hnmIjfmEQJ9V9QOvMFwt0E88PThLQHj0Au+8Q8P16cLuAnMWe8ScxUa+QUDqbGDTtlHmcSHPqkO3PqOecbzcEc4JY1teJcTx+GqdHylcH+JO05G2Y6+w4VEGdbJUIN3CO6M7Z2k/w/ePhJcGHexjXFv/qXPqwBjHlnJOfocHXeYYcauFE0Mch+sE9DhiU38uRCd/76BXN/6DWt8PjexcI6VQNQYrCy/yQYEFmQUwlV0V+LTAIoTj8HDhMcLfBcivkwOlQJ2YEKm8VwHyxIFC5glnC2wnR2mik6h3TrcTDhEo8yfCCwU68jwB40P7GFxfFKYJGGsWSOJ2FKJ0q/f7pcCA3S8oMhgYdNQVmSksFJisDFCMIQblRQJ6OwjLBfJHqAOTL213uHSXA22KAzheZPJFAxYN+KMVx0R87V1y2DTiqQoywOEeYVIsEY4N4apDXd/U9cMLlDnteWBWyPEKR6eE+t0sYBiR+QJtfWsIcxgUUuMRL8HpRwT4Re4tYBQi7yG6eLlOqAd5t0Goa1MZj/ldNx+o684CRh8nI/bHk3TOQvew0JgmOkF146FurqH4FAG7FhcJ3sVjzHOzFuuC3i8E5moqTWxF3ThvMoazYjvBQaFsXOO4wRv2BJkl4CBcJiwIcd0OF+hCunv/DIWZX9ikKok25kIpRRuzm85xUpiLTfqBm7D/lxWCvf1DEkf93peEqR92LJUyG8j1pm1j0cc2VEmTPluiDM7IMmFssR5Qx4uEIwTWHtaX04LuoI55vx6kONIsDDocYj/jxCGsU0cJK0OYwyKBdHEtSi514vO14reKOzFRStd2HLHHCY8QWKf2FpqM/yS7vp42snONlFQtJgmecxQWA+6Q35bExVMWP/KFgChv0ckaITUYyeWNp2VOA4OctPmgw3v/VkjZRKesPOJimbyvEIUBwcD7lEDZGKkoDFLu6tJFvqreH0vScnq0wKTcMonHeDJo5iRxDNwDBLj8lySexfyVSbjbadkAPjjkh1FP5csKcCc1t1tmiqfdKQ+ovkxYWpGGS037pqofqBdO40eTsmbr/HJhsxAHr1cIGNsojBHuXqIM6iQ3HlyD07ztJykuGp2Yfqo6O+Mxv+M4qJsPnxTZq4RtIunhiIP/kHDeRCdLvjHYba6hwGJ6cZYwzkHGZxTyOCXT69VWlNmbJmM4K7YTHBTKxvUliv91lmAPhbEN78ji8+DueYTCVwqHlsSnUdHG4ASk8nYF0jZX9cM7pcvOQmpv3qxwrDMOE+vPKzYpYdhhSKPKbCDXm7btKunm605WZMee19mdJdI5I0+oMPaeOp6ZXKPNcawN6jzv14NCmoVJGvr5giTMKfbx2iRukc4pi7UtlzKefiulEzPFYxVGd/8knrVka6Hp+M+y7Euwr+/sMHC/kVTrbzpnp+aQLlXFo6QDojBoZgi5AeuSfJPox4a0+aQ9T/FPD5pNdOrKSp05OpqdFhZK2oojEuV2nXBnlC6iyeWNp7FO3Bmmwi4Og/yRWTzefeqJ44BgeHFC4JrJvptwnfBZYSSC4UZyLn+lOHZqHlyR6XJde67wS4HJPSQw+OlT0naTXvumrB9wLnE8ni8wjhD6Hl7i3dy5OufuAr5xFLcUGCPo1AmL65HC74TYNoxKmVGsy6uN18djfjedD4xRdoJvzIhkAWCcIk10suSbBMvmGg7v/YSy+Uriuvneq60oG+ejGcN5e2nP/YV8rmO74DbagjxdDOMAf034s8DjxCGBPOvmRDcb816lzR2Hsn6QWnGSwDxnvkd5UYgnzA0ozhK7sR8W/jUovScc6w4jbVtZvv3os3QssNbg2DeVbv2MTeMGo99CvqljdZbCNwm9jv++1mtaH3Nj8Xi9MJQAD3FP4eEl5bBAp7IuBKaX6NZFbRsUILSbNNHpljbGs0WbC/neSxjKwCCqWuDJJ9aJO9k0PWH42R6lRMrKZ+BzN8uCfYQwJPxU2DdJ18tprFNeVuQ2Xi/LkzszjAtOAU7XQoExgWA8ukmvfZPXLeaL8wdnbNkihwhfCucczhaeKHAn9EWBx1AYzSYO9qnSO1jAmbunsFD4ulDVLl2eMjIe87vpfECvaq5DehOdqs4pG2OxfiywQwku1DnzlbvXKiF9L7airA6jGcN53WJ7ysqB33g9T0eYa0uEBQKPKuJ8x+mpmxMx37o+pJyyuhFPOecIzHFkfwFbyI1IFOzAR4XnCSy+PPp6zp2Xu56Npm1lmfajz7rxUFZeHtcL33nakYSxr2XS6/gvy2PEcfEOeMQZhIQsMAzwXbOM5iu8VGBAnj/aQirSUway1Sh1KpJ3vUTZTLAHddXofiHW+xVSiY/bumt3v8IkXiwcKrAYHy0wwViU2ertRWKdMNw4A1GiIY/Xy/J8gSLZKcGT70Wa9F+T/HDyMIIszNzh30egPqn8UAGws/BK4a3CPOFZm2htGuAdBO5KBoU/VehN1UvjNb+bzgf0quY6/dBEp9f+ivX7ghK+odfEoU4jtRVpcSMZw2XVTed6fp35zs51N2E+MC/eL+Q7bN3SxPh0vvPu1UiFGxn6gt0p1hhudlLBAeWx1ruFJwhHCacI2Et25rvJaNrWLc9+9VmeP5sEA1nk/CzcD/u6vkE5ed3yMPXox/jP820UntZIq16JRe47JWrLFPcTgQWYxzJjJSxyawW8+1R4DHRaiGiikyVvFPyBtPYQ8vc5nq24w2tyWKLrbLfuk+nxvPkrwk416blMG/8r6MH35wUmOIaIZ7tVAmdxouyl8/sKTEokf1xFGOORb3kH9c6BeufSpA396psNKpydmqcJrxW+JhAX5VU6eVgIXK0jRhDj94A7VTr9ETlhfjxV6DZ2m7Qtybq1p+M1v5eIoSbzgTG6u5A7PCx+7NwhTXSCauPDddK8RMjnKxkMCiyoVTIaWxHzbTKGy+pQNq7ZCfmDkM91uGW3M9qCsvzK5vp0KWJ36iTmm9vr1ynh2+oSJ9ex7Ty+xv49XUhfo9hC4Y8HXRwCHvuwDjG3cY6ilNnA0bQtyXrjaZM+S/sHu/2osoxK4nAWNxdmJ9d41JoK45Z+zvnmJo9NiLhOUAck2r9H6jw+XaCcuEOEDmXu0tFuLv0Y/81LG4Fmulh0S46XnO/qRN1X64Q82EqMcqxO6IBUuI4ezxer5MCgt1em9F6FucOICxeDnUWURS9KE51EfeNptzJRYMGjLUwsJjtC3fBgF4Uwh255cLdB+r2DLrttHxB4LJXKLxQ4JYsjeLBwuRAXXuqAw3NpiW4e9TdFfChEnq7jawTSnyNcIMTFhImHUUm5DMk2OfAIC+NxQIhdqOM/BPo1nSibJAqBJn3TjcM0v/uE8pi4GO1UPqnAGcJmIZIx8jvhM4nSC3WOcWR7nkUt3nn+RudDwm5Bl4WNtrL4pfJyBWhvfneVqU2a4GSb303mw85ij36h3+INGztzzIPIexOdbp3Qba6hjzPF2Eofh1D2VUI6xsvyGK2toPwmYxi9XLqNax71MI7ZDUVY6HEi/i4wB7oJ/C4TzhK40WOBHBQYT9SxSqKN+ZWUtgyK/6IjHMZ3a4gu4zDP92RFUH8c3VToC/rpMUnkYp3fIaR2ocwG9tI26nxcWnDJeZM++1+lu20yDPgAACAASURBVDCkxek7NZzP0RFOX1WSL1E4Nuy6vCxc31NH8iHNwhDHIfbzC0Ic8wbb/41EhzWcdE8TeFJzrRAdw6/rHFvHmCDt+wTm4IlCKscqcF0WF4NNx3+X5KOKbmLnOo3vJiyGQwJkc3xApvhGhSGMPNgVYGDyeIVzFpQhYQ/hGIG7DPSuFA4WyuQTiuTRCnpXC0OZ0mEKs8j/UcABK9tZaaKTZvseBdIyqX8utIFBQ90vEs4Vnpwo1dX7UOnyeARcLDA5oqGJHK9S3HJhSGDgRtlFJ+gzEGkzHjwTJV/oNyZITjDSGDUW/DMFPH1kcwHnbUhgy5ft7MVCnZD+eIHBTjq4YkLRX1cIBwlVUtU3Tfoh5v1zndAHuTxMEf8nwBFcMU4+LGCso+AIwQVGEE7jWIRPDPvNAmlPEnCcVgtDAk46vC8VaC9OXjQsOp20MpnmdySpaj5EHZzabwqMq98I3xaIS6WJTqpfN9ei7uN1whi7XGC+Mw7uGy5iC4aEdL6mdqjOVtSN8yZjOFRlk0O3cY0SDtz5wmUCfH5FYMGvE3hgYb1J+LVwpAAntwlLhCpJbQw2Dz6fFBI07QfUqTtjmLqkgtP2LoH6MV+xcdiEf9tEa/jxdZkNrGvbI5XPkICjxXpG+7tJkz5j/DCOsU04gTgx2HnsCO27URgS4CaX1yoCPYBdwrElDY4YcylK7GdsG5xjq+mHVFiLyYd6vDe5gCP0A4F6wOnTBHhdJpAfkq/tjOVc6sZ/rt+vcJWd21hGI6V+1cj5mIE+MPBp5cEOi6WeAc/veo6sMXkZ4LEZDhq7DRYz0I2BRnaukVK3EhxvBsaZgekqjzs1HlFZ6hnw/K7nyBqTl4HXqGrsRljMQBUDjexcI6WqUnzNDIwDA2xTzxB49+AL41DeVCnC83uq9OTdpx1vUlNfKswWeMTOI2aLGahioJGda6RUVYqvmYFxYID3b64VeKlxx3Eob6oU4fk9VXry7tOOxWpqfIfl9XefZrulo2CgkZ1rpDSKSjipGTADE8eA5/fEce+SzYAZGB8G+vrnIsanyi7FDJgBM2AGzIAZMAM9MOA32Hsgy6p3Cwb4GSePxHgHiJ9f5j9pvVuQ4EZOSgYWqlbfDePyrzp+bVLW0pUaSwbSz5jsNZYF1eTND0GGBH56fkGNbmsu92Obe6FaOyjwLZKJlMUq/HkTWYGWlf191ZdvbvQii6T81pIEfN+C73HsW3JtskTx7QzGe6zjUTrv9jGvyVLn0dajH/N7tHUYSfqRjqdBFcZ3T3J5hyL4zsys/MIkCvOdk9NDfbbUEYdnsstiVbCNNndQ9S4bJ5OB7wNVCebtRDo7kQe+ndcGZ2fcHmMtFCFHCHZ2JsNUaV6Hq6XKS7+9yCIplzk73AHwsSq+YDpZ5dGqGB8I44NbCB/F4sumlsnHwEjHE3aobBHjhVfGJx9InYwyoEo9SjgnVO4WHfeZjBXN6rRY4TY6O93GSQsodxXLGOCnuhYz0I2Bl3S7MIJ4vjD6wBGkG88k3C2vTArk66iWyclAv8fTZ9RMMFmFn1nPEdLxOZlvHCYrj66XGejKQJNtbr5zwKfbuSPmk9c/E94QcnyzjjcI5MOfXeAT1vHT2vxZAeI5PkDgk+F8Zp24lwnoch4/t86H4ojjE/0nCqnMVyD+iQPet+D7CzzfvLfA80XSkTcGgnPwfIE/AcDnzblTijKok/jZ/4UhkscZ1AW8WuDT6PxtEMKnBR3uvt4o/Fm4VOBPJrxNIL5OqCdb1Nxd8hlutgbZWk8/jpfq8OG8HwvpXWpex/fpOn/egB2adwqp8Pn4jwnwRJ+BDwhbB6WLdIQX+iYVPuJF/dCH5y8K9B1C/UnD3XHkmD7h8+WE4Yo6ImzBRj5P0Tl3f0MC9T1ZoD9T4XPl/EkA/kYXu00fEd4v8GdHyLvu3ZrXSYc/x0Hf8LiCT6Gnjyxie2N+5PlgoUxmKPJogc+mA8b9l4V7JMq99EVZGeMVRx80kSdI6XyBT8MzZn4k8K2TVOo4ZixRHsd9BcY4OzTnCvdJM9L54wTsCP3CODtTeGrQKRtPXKqyQ+yKxDHIXI/jc6HOPyVEG8W4RBiTcXwyx84QlgvM66d0NDYV+ntIQAf79hiB9IxnbEyVpLYr/nmWQ5IEaXvJj7p/rSJDHsd+U2COAuqDrUull77IknaCdWVU2dyYXzqmrlAk856/nxQlryNzjfECn9sI3DwRd7vwHWF7oU74Dhe7Y4w97NgPhf2TRFXjpFveTez+Lkp8goCtYExT9qCAE5tLnEe8O3iJwJ+4WZQoHahzxlaTcZnnTfjeAra6bK15p+LjXNgvJH6SjqwhlLk4xMUDfQaXzM0/CKyvjLlFUSEct9CRP08xJDDG4eDpmc5YBhvZuSZKNPZ9SU2fofP0rmORwuQTyYuqLGCfFm4SGMAYuEcIkL13UCLd4eE8HhgoJyZxTCwGMAN/qxC/m4500FsTvSU6x2jlMqiIW7LIgxSm7IUhfnMd9wxxdNQRAos8i/lpQYfFl8U+thN92pL+jZGguslhZ4VwnD4nTAtXGGBrhejMRB0mTNR5k85XCnFRTutIn7xeoI6UT1t4TBPlOJ3A2cwQsYeO1DWWR/SxAgYnCgMaYxsX9fk6J4+U40GFcy5JP0egDiwKCOUuFJgYLJ6fFeDtPwWc0ncJUWgvCx6Tn0WRvA4TbhWWRqWKI+1njO0TdDCoTLhvZGny9nbLknaT3+5BgfH3QQFnPTq2vfRFt3LGI77J/OZv9DAWWSgQ2niUwNiL0oTjdL5jwB8u4BTguOM8RdlBJzgNGHWE/me8fi+EOeTjiTjGfJUdQqfMnhBPWVzbi4BkO+GQEPd9HbEHjE8WVeYA/Rvl2TohLTc61Isxel6IO3SjVvlJtF3UPdou5in287VJkrL2luc4zNVHdDHaCRY3bjQjn6Rr2hejKYO0S4QymxvH1ItCAdx4fFO4TFgQ4tI6flVxDxFIB/+Mn9MF7BXtYj5iQ+oEnp+ZKD1D5+THmEul2zjJ1DrBJnb/qdLDPswLGWyh4xLh2BCOhziP9g0R6J8tpGM/jtW6cZll3Qk2WWsWSY/2x3WMdFuGuMUEEsHZuU7guLWA3lcExu+9gh5j/GfCb4U4xv9D5+uEdEwG9TE5NLFznUZXCYsWd/KvyJSOSMKLdJ6TFy/T2VxLveunKAxxSNmgg7QTw3UOBwc9BlQqb1cAhyDKEp2UTbxBxd+S6HF6kEDZC5P4aHC4y4yCUaTDdhTWCB9LrnF6tEDHMwi6ySd1gQWeu5VUGOBMcCTqRF6Iw5gNCT/oaAxLrONpSRyDbZnw7iQOY4wBSWWxArslEfQNAzkKbblCIL8o3Ak9PgkP6jznksuxXq9KdDn9hUAZM5L47+r8x0k4LiYYplTOV2BpFpcHY7/gjKTyUgXoX+5Qo+Tt3SRBEoD3hdlFnEXy2zuJb9oX3coZj3jqXCeXSIFFIpXZClwbInrlOOfpLcqHuRMX5wN0js6/JAXiYL8yCefjqYkdInmZPSH+wHBtr6SMGHdoEvfQoIeTFoU72t8kYU65WaGsNG2m0glG24XNS+XLCuDMzw2ReXsz9U2CcBXTxQsn6SS1CcQz3uv6ols5TctYogzKbC5j6tdZ5nEOvSOJj3W8XxL3+VDvByVx3ChyA1Mnu5coXKm4vJ+6jZM8eVO7j3PMWpHKyxRI7VfM67hMDxv7rSSubFyyTlDndFxm2XSCTdaaRSGv/ZIMWL/If3ESxylOzmohbRtrFDdCnwm60X6nTiaXWIN+EXTG+tCXF5QxUlT4I8KHhX8NtX5PD7VnoU+N6VkK46k3FYwjkk8evOR84DTNs0oPLzXKDTrBKXmswIKN954KRhBDlS6qmUpB/bm7vTG7wKD+VYhDh7uelBecTHiLZafJUy7woFmY0ruXcxR+vnCqQDksFicK/xC6ybm6wHYsbXyxwARgwP6oW4KG8XDEzkGUq3SS1vXh4QLOTSoXZuGyYOQmHxspr2XpquLgfU8BJ3MoYElIUGZM6/qiqqyJvsaidn8h5485i3FGeuUYQ8hiF4X+Zu5EZ/9inbPQM67eLOwmXCd8Vugm/bBD3fJO205dkTg+uUNnIR7J2CQf5jWS88v4JO8Hh+u9HOibIwV2Q68QhgRu3srGZl1fdCu3lzLyPLqNKewbNjByEtNxs8iubpRrdIJN+20Sl9uM5NImp7MU+prwZwFbNyRQnzJuNknYJdDU7i9X+ucKvxRin+DIMebpZ6TbPMLGPj3opId0zFwdLqR2syRJo7WmLF1VHDzekCiwRl0qRLsdb4bL1kactHSXtKqcUV2bNqrUdyZma/GjwvMEFl887Of0kHfZTkAPyYttg3IvDlIv+ee6bHvmEuvAzs5QAsIY7u3zBEmYtHV1R6esXNLhqCzI8qfMVDAO05MI7p5eJXD3/F2BxeSITCdR75yeLTxRoL++KLA1zh1jviOFbi9SV9e4qObtbzJuYr/kaSPf8Xov9cUo8TiDBQ7+FgpxYmNMc6lrX64/mcJN5lavHJfxQZvj+MRwYgRxdhiTQ8JPhX2FKhmtHeqWd1pf5hES6zqasUk+vXLXrY5p/KkKHCywuN5TWCh8XWg6NskrtRWEc+mljDxttzajx7zM5+RtWQb0wTKBm44ouX3LknSC5LtEwFY+QsCJXiiwWJdxo+haiXWts/s8ZfiIgBMay319yD2WHfOqWwtiparGZbeKU0bT/Lvlkcfn85nrlLFTUIztwtEbSsCOD32Lsznm0i9nh8ayeO4qYHAInyLs14cWMKAHsnzmZ+G4FbjVCMtjotSVUZd1rMMrpLgwATsh7IDgHHQT0tbVHZ30EVbMizjuassGXLfyiN8gfFZgAXmggCMzKLxGqJIf6uKTBIwoz6oxqGwhj6VcGzLP2w+vdRL7JU8bw/F6XT7pdZx6xgyGiy3cqSxN5tZYcMwN02IBQ/hyAaeSMVq1KI2lHerWx6MZm+TZb+64s+dOGnvzp26VHmX8aMvo1maqxbwcyZxs0iR4oe7YrXwXvUn6Mp1Y1zq7/wIlZoeGpxbY3jJpMtfK0vUSRxl1a0106NM1cX5FIfmNNqrcAF8T0sR27aPwwgTMbWz4X4PemB764exsoRp+PNQSkr4nsABC1P1DPIsxEsl7pM6rdjqCeudwvZB6+mx54UCkwgKM7L9pdPE6hd+WxFGPWAeeMfIsFKEM8p0dwhzSZ8RJdNfTJbpC/nRoKuy6fEWIXm52uROk/myj5oPwS4p7YkgQddJdFNrCY8OfCuljoJCk8vApXZ0XNH6r438KbK8+oCIVO0EPC9fZNn23gFObpkk5Znw9Vai7S6wosnOJHRQk7p6EYKOfskdu8scBMRzHTsyzyZE+zaWqf3PdNoXZ8fuDkM8txg79wjzqN8fYh/8KJC3T8fPCOwQWKsorkyZ2iHTMk2gD9tL5fcsy6yGOO1MesYxkbFJMHH9l4xPn7dc91AXVsrFJfD/HZy9llNncOKbyNmMDsW8jmZNNaCqrN7aJcZVL03GyRAmb2P2ysvM+ifMon2vMh9PyCo4w3GStYT1E0nW3aj3kxjddl3BY9xSi3f5ByC9fG8nzhHBtzA/9cHa403q18JiktpyvFGJjWUSRXQT06bhuRiuobjyco7NnCHiP1PftAgYmlW8qcK4wKMS7fe4E/0f4fqL4D51TB+T5wmHhnLTIC8ORjnpSOG96YAJzx3CosHdINEPHYwQ82OjlluX3PkXSJo6xT56lc3j8eUjANYzfsYnO63XONjqc9Co8inltkgijT5/8qCIj2vVWYbOgwwLD7l2aBo65C6C/0P+CEO8UQrKeD99Qit8LcIlBxHDgeMW+rMrwWl38oPBSgV0sBM5ox+nCz0JcL4dvS5k6sACzcLLwD/aSQct036z6Pkh4Qag3Y/RIgTF9g9BvjuOYjosBCxIG/8/C1aEO+aGJHSJNagPeq/Dj8oxGEB5UGsYW85F68Jjivxvmk9queLPzKKV9tvAuYUXDfKIa765w8/ISgXogTxCeGM77ceiljG42lzGF7XhxqBDz6QPC5cIn+1HJkjx+orjlAuvCXIG5C8fYq1yajpOmdh+b8WjhgFDQQh3zXfQ4j16ma/EGEhvLOP1pSDfaQ5O15jIVwjxjPYQjNgIYT91ktS6w4YHNjzcd7F6xHiJnCNSfsuMYZ53+hHBlR2OSSLctt1g9BikD5kKBSfY7Aefh37L6H6MwA+gPAp2HnC2wgLMYDgnv6cRuKrsqiGd4o0AZTxMohzu+vyWqdAiEDwkXCzgJT0quc8qC/huBOvxKSL3V1ypM/cBJAh1N25nYODD/Hq4RR12GhNhxOt0o6LJ9DKgHE5dBUCf3kQKG7wqBOjI5iEsl1cEoMHnTO8q8jgwmHJghgbuP2wW2UhEWrh8LOBHwSV1xWqNwR5n2DYsNuzr/J8Afabij/bCA4YiCI3SmQN9cIhwsUBa8Ru5O1TncDQmrBAxQvIP9kc6pJ/XlenRoOH5LwPgzQY4QGEcstk3kMCldKrBg/l1g4rEwRcnby45VlbxOFzEK1wiMtTcKtO96AYe0l76Q+oRJ3fyOFWOxPF+gXxkrxwvMuVTqOM7n+x5KjF2gD6kH/cp4oa+ZN4wfxhnjjTGDo4uUjaemdoibCPofO8U4nScwT/4pUAeMPH2JLUrjKBPbQx3Ro87HCVFeqZMhIc6xfXWO3mvuVOl6ltquv0iLObk40c7bO6RrcYe1LFN4Oku4WYA/7BkLDovSkMDNV9O+kGqpNCmDhFU2N44p5hF27yvCzklpZXVkXt4irBeGBGz4yQJtjXFV3DxeeqwjNwnMeZz2y4XbhCVClLJxkly+y2md3WecMWdwjuhj2vYhgTFC2w8SosR5hH2l/w5PrvU6LpOkG0+brDWPlTbjkPr+RHiIQF2XCvA9XRgSlgkXCC8R/ipgn6nzIiEVHMqPCkMCc+8i4Q3CQKo0hufUvVYaKdXmYgUz0H8GPq0sMQiWkTPg+T1y7qpS8mgEbp9TpeRrZsAMjAsDffnp+bjU1IXc7Rng7nRaxsI+CnPXbzEDE8kAu3gvyirA2EQ8PieyZ1y2GeiBAd/59UCWVceMgSHlzFZxlOfphMefD0rifNo7A57fvXOWp1isCB6Rbhsu8IiWR348lraYATMw8Qw0snONlCa+La7BFGfgTWofz9p5j+NygXeunjzF2zwezfP8Hj3LvDfydSG+b8M7GDxi5WVNixkwAxPPQCM710hp4tviGpgBMzACBjy/R0Cak5gBM9AqBvzOTqu6y5U1A2bADJgBM2AGemYgf+Gz5wycYEIZSH8yu9cE1oSfpQ8Ja4X057gTWCUXbQYmJQN8+oGfTvMTXsvkZoBPIwwJfB6j7lMUk7sl7aodny/5jBA/4cL7b3wuYcyln9vci1VbXixtmwyqwlXfbpjI9hyowumjiXR2Yvv5JpGdnYkcDb2X3c/53Xvpd88UR6vZbXN2BlXnyWQD+Vgs3+XplyxURoNC2aL6C8VPNWenqr394nSk+bxDCfmeFd8m4js85wijXd/G/THWYlW6jc7OEar3ZJroqo7FDJgBMzBuDEw2G8jHH6/tY+sXKi/aWObs9LGYSZPVZG7vo8USP0bhY7PcjD1B4GOwo5IZo0rtxGbADJgBM2AGxp8BvthrmZoMbKlmDSVN4zHiuEiTbW7e2eCbEr8J4DPcz09qx6elecRBpe8I54RTHT6/zzM6PDg+H86fAkg/589nq6kLRz7FjufHp6r5LPo2wgNDHJ9r/46wvVAn/F0Wtsj43DWfuP6hsH+S6FE6p56Uy3N2zsHCRCc/ZduNz83TjksFfo76NiH9LDafwz9B4LP7fDabsgeF2UIukRe+FMzPrvlzDYsSpfgYi52nMwS8Ycp9SqJTdYrXzDNR/gwAnwfnzzW8NCR4p458Fp/27xfinqQjd1XELQ5x8QA3PMaivWxD0tf0zz0zPX6Se7wwJMAPHDw90+kWrKpvTJPq8DPgk4WdkgzZkqb+4KECnDJuCB+VXEOPncghgc/Rkw+fPU+lri2vknIs69U6P1LgT0oQd9qmWU1IiHo0kSa89zKHH6BC+TMb2ATqAC8pT+9TGM4Za4zDXOp4r+rjQ/PMQniGjkcL2BbA/PyykN7t5/1ZV89dlf7bAp/Rpy3vFo4RmjzGqrNPeymfyFmTsSr1u0hdGXU2kPnwcWFIiD+9PyQpJa/jc3WNOUnf8ucSsIv/GeLg5GMC60WVYC/48w7XJUqcwwVH1gdsOuvDucJ9Er2y0zcrMto5/kQIdow1LMovdNKE3ya2P8l2k9N7K3S68A+B9YD68ziHcR5lT518SxgSLhe+K9x/49XhOsbxULUe1LW3l3Jy+9ltblHNurHCO1Jwj01gvnA+RMI+SCM710TpOFXmI8K0UCk6jkFzYFbJJQqzIOeCY3OTsE+4wMLExPlGoojR+HTQ+6qODxH4cimThsWKgUIHUyZ5fVaoEwbUMxOlZ+ic/HbIEsLB4XWZhevv15GJGJ0DBg4TiTZGeapOMPQ8k0QY0EuEY0M4HiIvTF4E/bOF70UFHWkv9fu+cJBAuTh7tGNzoUrgj5eKMXgIk5XFfmUIc1gkkH9sD3FbhrjFBBKJg/N/FDdHYPDiQPEV2WjAOP5MYELz8TXkPwQ+EJiPl3B546FJfaNO/KItDvM3BRzoBSGn7XQ8RKBdPxFeKLD4niccJiwUfiNQd8YRbccgMwnfJURp0hb6gDFAWRjpIwTKYoE4LWY0gUfqVSdNeO91DuMEP054hMD8wGhGnpiXrxfgiXyp46OFKE14r+rjbgYZY4zt2D0URDkfFJir8WYl7c+6emIP+TtA3Kiw4DInGF+XC0uFOqmzTzOVwUKhyVjtVlZdGTEdfZDbQPg5RyCPOJfpJ25yXhsS5nX8pOKx868TyBPn5gQBG0ca4p4v1Am28rpEKV0fWA8eLjxG+Lvwo7rMdH2RQNmpnYvJfqGTOluAbhPbH/NMj/w9MG6APifENfRJOsc2s6Yh3CAzZr4ooMN4xIYQt6OApGO+bj1YJP2y9vZazk+UT2o/Dw11yQ9NxkpMA9+n5BmMMkxba6WJEnc+c7OcTlL4tCxuicJnZHF01BoBo5LKSxWgbHaNojDAieMjXlE+H+LSL+kyaHCW6iQatVTvSgXyDqPMfKKX5R3bwgROhbtFDABOAoLBZGCm8jIFGLhRYl7HbapWcKeFdx8FB4H6pXXGESSOyV4l7BRdkCnMVvjaJG6RzskrNQK0g7jFiR6nODsY3lSerAC67JAgzw7h1MkkHkeDQV4lTeqLTnpXRn57CNSBO6Uokbc3JXG0kQUWoS7XCTNCmAN3Uj9Owk3bMkdpKP/MJC39Tx0mWqhXndTxPpI5vH9S6FN0vrUQeUrtBkZymcCOSJSmvNf1cZJl55RFZGEWGcfO3kl8r/V8Rpbn+Qqncz27vDHY1D41GaujLYNxktvAgxVHPP2XypcVuFVI1wTqeI1Af0bhBgQeuCGJ8led4PzUybFSuC5TIo76pH31FoVZX6IT0S3fRSFtN2cHm5jaAm4oU1vQ1PaXlf9JRa4StskuclOLLUc+JdCOdN1gHWEHhHZHiWM+XQ+4kYCXdD1YFOLy9vZaTjf7mVSpc9rrWDklz2CU4b69oExHHSlwF3OFMCQcJJRN1rzOj1UEgyhfoH4VFA/IEuA0cKcUhQm0TvhtEseim+/OJJc3njLJvib8WWD7cEjAcWtS742ZJCexLdwJpoIDMEeIjttynT9X+KUQ+WLAMtjZ5UG68YJT8PSgkx5S/tguR6o4oJ33F3Le6Usm7kgld54iFw8PGT4+HMs4YmIzgcukSX276WBUbxTysUQ57DJFYQxxBxeFfuPuKko+rnptS1rWDcoUYzbZpRun6TjpNla7zWHSpuPkLIXZUYmSjknmNgtNOpZHw3vex0mxnb+avafwA2EoYElQKLMJdfWMYx7nJpULs3C3YC/2qW6s9qOMPI84n3IbQr9jxx6cJbhYYfozCrab+bY6icvnWHKp0elKaeGcRyG/GULuSDTKLFFi3KS2ABubjsmmtr+sXHhkBwoblQqOS5xDjPm/CdiNKLfrBNsW50NyaRO7DgdI1XoQ0/ZaTpX9TOvT61hJ0/blnEHQDzlVmdxbYLv7TyHD/9XxYQ0y3zbo3JzpRuMXr8fLPCJKhcnDnR+GKgpx6R1Eqh/PyXeJcJHAVnocaAwojMxIJNaVnR22NKPAM3c624eIt+t4hIBDyB0CXjdbgScJseyYV7oIhOSlB/KPEg1KFQe95l9aaElkWg8u3yLQNzsF3Vgujl4qOIP0LYsrkziXJvWNOvlYIi94jNfTvMt04/W8Lfm46rUtVWXl7Z0s4dHw3m0OMyaqZKJ4Z8FiPh4jPEVgEd5FuFIoswl19Yw3DXm/17UfbuB9idDUPtXVhTxz6bWMsvTE5e3r1u9ldSyLq7JbeR3ycFl+6IwmT9KX5ZvmGefJx6RbZfvz+hImLTfcVYLOfGEoUyIud5JQSevbZD2I2fZaTt73WfU2BiM/uX63sdItnxHH98PZwVvEGxwUoqPTS4Xidi7b2KnEcLzeS55NdKkzdWdglg2WJnnkOrGur9CF9FFTrvcCRZwncEfbTWJeW3VTGGV80/zjRInvLFAsE6ybLMguUH+2kLmLQ2K5++g8d1yDSumhSX27jSUyZDyluzalhfQYOdK29FjMhKqPhvexmsNjxfvzxDTjnV3q9C5+pB3AjhQCD/9MMtmyQYZjYZ/yYkdbRjrf0vaNVb/n9Z9M4chFne0vqzNp6+w8OjwFeFBZBn2MG6tyJnyssAiNVngBrUzinXx6jWeOcdHk2eOjhJ8KGJZ8yzOGf1iWeR/iyuqNp1621Uf9Yr330vl9u5S/RPG0kYU8Fcr6ihA5KSs75yvyU+A8lAAAIABJREFUsn+WF4/CTsviRhK8Ton+IOT5z1Mc2+70D3J9OEbPnGD6zlS4vPGQT0Z2zZC4lc8jAiTniDxPCNfKDk3qG3XyscQjCLax+z2WRtqWsvZN1rgmvI/3HB4r3pvMy176KY75+Dgrpn1gg0zK6tLNPjXIrlSllzLKbGCcT/l8I8zOQv54q7QSkyQSu41EO4+djTvxTaq4REpNbH9ZXvCIjcodni8p7okhAWN+DyF9D4pLzxYODzq9HLq1t9/lxDpN+Fjph7PD80CeZ75E2C207Ak6xk5KO+AfCuwSIp6v42ECdz8fFF4q7Buusf37VuF04Wchrt+HnyjD5cL/CAwgBvm7hPklBaX1fq+uP65EhygWBnaKDhX2Djrsnh0j8Hgm7m58W+ePFg4IOgt1fE04j4fIy8sU8YAQuYWOlM/i0g95szLBOXlByIzxcKRAPeOz4ct0frXwQgGOeKeGvu4mPM6kX2cJC4X3CbxjxaNO5AyB+hMfJzd3up8QruxodJcm9UVnP+HFIRsM+geEy4VPds96RFdG05YRFThBiep4H+85PFa8My8ZL+8QGOs4/oOj4PwbSstuIvOfxYy8XyVE21CVdS/2qSqfqmu9lFFmA7+pzM8VBoU4lx+lcxZgbOmKqsIn2bUrQn1Yn7Bd3FBu10Mdm9r+siyxhexyc4xr8rN0zgvFPw8JuHaHcKyA04vsJXxIYP3tVbq1t9/lxHq1YqzwPkmdMJHPEngeB/EnCRgknnkPCSz0CDsivxH+IPDiVbpDwAJ5qcCzS17WgnQGXZSzdcLdAtvMQwJe7inCLQLvhBBHficL1CPGVb039HjpXSjw3JC7EBZ6FkUG3hIhCgOPOv1OOFPACFYJzg6P9MDFAovsgiQB6Y8XmCB/EWgbgxauGYQHCVEiLzgMcHt4cu09Omf7mHQ4JDgtTxNwGojDYTlOqJIn6uL5wt8E6kq9cGhSeawCGG3qi4F8iED+SwX45i5oSFgrfFSgLThMTM7vCPcUUsGhRG9IgNOLhDcILDB10qS+UQdHDT6/IuycZJzzBv9RMNpDwiphucC4QH4k8C4Rd0RDQnTa69ry79JloYCvG0Pa/A5O0RMm1KuJNOG91zlMP0TJecL5ZbEZEuAc7s/bqD18U1I1hqr6OMnmLqevUwzjhvH7c+GNAhxdL7DQ9FpPxsm3BBb+a4WPC9wQRTv2OJ13kzr71OtYLSunroyYppsNxFbQpiEBW4adWBwT6ditjuivFOAFG4Bgg7AZxA0NR5X+z5xM1wLsT9n6gJOJDaT/sIkHl+Z2ZyT6zFXWp/cK3erezRaQU53t71aF++gCDgH2ijUSx5u4VFjzviHQFmzmucKTE4V8zNetB3l7Y1a9lpPaz7S++XndWKHcISHaXs7T9S7Pr5dwIzvXSKmXUq1rBszApGHA83vSdIUrYgbMwBgx0Lefno9R/ZytGTADZsAMmAEzYAZGx0B8Pji6XJzaDJgBM2AGzIAZMAOTlAE7O5O0Y1wtM2AGzIAZMANmoD8M2NnpD4/OxQyYATNgBsyAGZikDNjZmaQd42qZATNgBsyAGTAD/WGgLc4OP5/mZ8/8cmTv/jTduYwhA/xsOP4knm9BWMaHgdeqGD5RwE95+fksPyu2mIGJZoCf118oMC7/KvBzfosZmHQMTJafpvIBvrY5O4tVZz5BP1nkHaoI3xCZ1ccKDSqvsm8ZHah4+muqOTvd2ttHSkeUFd8age99Q+qjdHxVg5wmy/xuUNVikZT42Khl9Ax8X1nw/alUFinQb375tgrfl+IbTAgO+Cnh3AczMF4MNLJzjZTGocZtdHaWiJczxoGbpkWw+P1YmNE0QQM9xkfZh5+mqrPTrb0NqBpTFRapW5IS6OMm/TxZ5ncTcgazNjZJY51yBr6o6PyDo2PBLzdCjLH9QjX4cOjs8io51gyMGQMbmhjDMSvdGY87A59RicAy9RjYUk1amTSLr1lbzEA3Bl7S7UKf4xmXSBybOD58IddiBiYdA03u/NhC51PXfOYa8Dnv52ctie/ccGSr/QJhmcAnr/PPYuP58wlytj+5W2W7lc+VU5e6d3b6XRcVeRepK2O6UlwlMKn5/DnnIOXkCQqfL/CJdD4RfrKQ/jHQnC+eecMXf5ZjG+GBAnF8Rp8/ybC9UCWf0sX46fT4aIntZDgF3IGxC8WfSLhUeIpQJY/SRdpEWvootnFhSBR3dprkyyf4GTM8zx8SPic0+ZMK/KmG+Kl63gfgU/W8L3RvIQp/T+x4YUjgc/Z8Zv3pG68OP+qJHLxa8e8TbhauFt6Z6NW1lztW3kX4swB/lPU2gXiEXbW0nCMV5k8QEHfasErX//kTBvzpEfLmMSSfsk8fRdKm2wT+BEHshwfrvImM5/xepAotFSiTtkd+n6nzawX+vMzpQpkQTxv5MzCxjfT9f2fxi0Lih+pIOTuH8MN1pE8p49QQx6FuHiaqdzmt6pc4XnA6Pyp8QOBPUGAPmMPxT6hEW8G8wyYeIjB20MOWLhJyqSoX3c2EjwnMh2iTKX/rkFEcL9iYKN34jddHMkdTm0NZ9Bt1nyEcLWC/wMXCl4V7CLmk/UN7+FMNL82UmtTtNUrzWwE+sBVfFB6Q5ePg1GWgiZ3rGIw6YTv0I0J84ZnFhhdUWfCi7KqTTws3Cf8nYHweI/A3pxjAqTBJWMT5ezxMjAMEBip1qXN2+l2XtF7xvEkZ6C4RcCByYXJiBF8ULrBwfVNgIVsQ4lK+vqq4hwikYyGGP4wTjgQcw+lnhTqJDsheQXE7HTGu8Moz/IOE/QScJ8rheXudkPbwEqVYVl2+OFUs0tGAUebPBZzgOJ5Ksu/8MbxzBIxldIx20zkL2ltDAnR+JjB2os5/6Jzy4tikvD0F2sFi83oBI4hDQdyjhVS6tff9UmIxhj+EPHEuyQdJy2GxOUKgHBbsKmeH9PTvPmQiwSFmMfxGCMfDsTphQelVaE+dNBnvTec3evAPz6k8R4G6MTwonVuydARfJNCO9G+wHRPiXpno44CcnISbzMNEfZPTpv3CAn+r8D/CHGEPgUX7DwLjMwr1wubhiOGUbCl8RcDpuVdU0rFJufQXc2NmSEeZjEXsRZSy8TKoi2X8jnSOUlZuc4ibLzCmdycggYcPCsz7eHNAfOyfF3e0hq8dpePKEObQpG5PlR72LDpTlA8/0U4k2fl0ijLQxM41cnYYRHMzkk5SODfiTDAK3TvRfYvO1whxYeNOjLsvnKdUuOPO02YqnWA/61KWfy9lLJHyGSWZXKK4X2fxGCTa944kPvJ1vyTu80HvQUkcOyEsgHVSZnhi3KFJ4nhXjDNaJ90W/7J8cdjQT/PF6HNnlwrOLXrk0U34o37oYMhSebsCbwoRzw46z8x0zlP4F0ncnKCXjlcMMDtp787SlrV3R+kwhj+W6R6tMIsVCxcSyzkz0cPh7NbOmC8LQSo4htTjkUnksTq/LtNrEiSfOun3nPqhCsQBTeUsBdL2lNVpUJFlizHOATcP6RjGobxUIN8o7G7gVEVpOg+TJJ3TXvoFZ4fdhFSerAC8Py+JxNnB7jEeotAuFvbPhIim5TK+uUFKZbECuyURZeNlUNfL+B3pHKU4xjZt3SspG1u/MAlzGu1fujbQPxdkerMVZhcwSpO6MQ+vEFLnEsf38Uk+Pp3aDPTtb2OtEk9HCmwPMqiGhIOE6LmnNDJ5GcRRMAYzhG1CxL/qyB3J+XeqdM64g28i/axLt/J6KSPPg4Xj/kLu7FymuBuFA7IELJZ/TOKu0Tl3xuliAYc7ZOl6Dab1IT9ktHmSR5ovuy5pvnCBI8cdXSpxcagyRpGnnEfufI8LmcX0ZfnjeLHbkkqaFxxjVJtw8FjpMYbLysHByRdxdpui3KCT7yXh9DTmm7fxV0EpHytdshl1dC/jvW5+U5kvC/sKcbeKccBil/LSS6XZJSDt00MidkK4k/+a8Dgh3oix8Eaue52HIevOodd+yRfsOE4enmaq838IjIcotOtSIeo1LfccpXm+cKpAm7GnJwrk36uMZo52K2u9Luwp/EAYClgSlOOa0a1/GIs7Bt2mdTtX+rsI8M4uETcf5wk/Cvn4cDdgYFqf2sik4k77uQJbyQuFrwuzSvJnSzcVFhUket1xIGOsUim748hUOsF+1qUs/17LyPPYNkTk7SMa4xavx3Q8GkkFvthxwGBEIS69a0n1m56n/ZL3SdM8yvSq8o1txTAPJcCxJR13tt0kpoWzbhJ1fimFoQTs+MArxjKVsrHZhNdYDjs7QwkIk+f2mxbTWYibSLexEtucj5UmeY5Ep99zikdwy4VDQmVeqONXRlKxJM23dI4zgAOL00P42wLO5hMEFld2vuJ86satVErnIfFRuqXt1i/5uMKWMX95JJlKrsc18ox6Tctld/hVwr8I3xVo9xFCk7EstU0kljmSOZrnFcP0E4/Kzxeo40IhOnRxzYjlNpnfdXU7W/k/UYD3Lwq8YnGSEG+wdWqZ6gxwNzpa4c6XO+hB4U+jzUzprw155Asd3nid9LsuZeWNtoylXdpHNG3mef7dRSIXX1CD39Bjo2ParZTu+i5po84+uh4XuS6qo4qO5bxCubDI9ku6jZU4N+L1fpVXls9ox3tZnjg6ODz/KfAuC3fbOCijEXg/TmAn42nCfwmXC+xSkjeLato33biVWu087Ja2W78sINNEGLPcaF6Txed6XGZBjnpNy92gNJ8N2E9HOB4UcLI/LvQiscyRzNFu5TxPF7ihOlLg8WOZxHLhqpv0UjcenYKdhVcKbxXmCc/qlrnjpxYD/djZYYu0TPK7ljKdsjju6nn/IXr6UeeBZcpZXL/rUlZkL2XQjvjCHc/ieU7MXRbPmR+cZc72LYaNCdkmwVjFNu6l8/v2UHm4uETAGcllUBHckXeTyNP+mcLrFH5biGObHMnz59HZCeFar4ey9i5RJvR1Xg5jhR2Lkc6Fnyot5eVjJYbHY6z0Mt574fLLUmZnjXesuHsfapA4nU/YrqcKcbfirzrnkc+LBBZIHB2E3Z2nCM8QUmdnNPOw1355UKhLPDwinLCzkQq74uluA84TO1JRr2m5n1IaFnKEx904lVcIDwhx3Q5l/PJYbaRztFs5ZWMqnyOxf/L5TbvgA3va1H68SroPC5W5Wsd3C6cIKR/UaWHQ8eFuygB3CXXyGykMCbsFRRYpjDSTJJVjFWCApoKXTxnpIwUm620CO0YYtccIQ0Fvbx2rpN91KSuraRn/q8Q4bwiLMI8DkPxXBky004S/C+ndXRlfg9LJH+m9U3HLyLhGDtR1uN4r0SuLoy/Qo2/q5G9S+FBQOl3H14TzpvmyvYyRTV8c5W6LO/K4lR2y3OTAIneOwPsrcdePu3fS8d4Xgs4S4Vwh3iGiy7P6d6EQZI6OtPdVSRynLJ6fyeK6tfco6TG24/hk15QXYikrSrdyEpW7nL5XMTgD+4YrO+r4Z4GdkVSOVYDye5WJmN/UkXnNAoydeEnDSr9QeuwIMEdwLPMdPX4RR3uOSfJjrhHHnM2l6TzM0xFu2i+Mx38IhwmzhIXC7wRueKKjptPOr8Tovy8KtG+LEHeHjvdCIUiTcrG7b03ScAOyQkjnc9l46cbvSOcoVThQyG3OM0LcEToOCDgwPNZC72AhSuyfF4QIxgy2Jh37Ter2SaU5Q9gs5AO39EE6t49XmEeL0RENqj5MEQaa2LnOAKyT3aVwlnCzwJ3ESQKDa7UwJLB48tyUZ9IYK+L2EDBK3DlQxpVCHOizdf4xASPPws7d2SFBD8+cu8Fu0u+6lJXTpAzSYWQwshg2FmV2FKIwSblDuUzA6H9F2PnOy6V8naLr8MGkHBLIDyMJ7zHuYTovk08o8p8CXMPhG4X3ZHEYlacJ9AV69M1xQpXgmOCkYTzOFDBcveb7eKX5uXC5cJHA2IG7OtlcCh8XhoSLBfJ4UpZovsIfDTrUkfzfIGBkEQwqixHtvVGAJ+4ahwScsNuF84QoZe2N1w7VCY9yAfXByLJwIXk5Q4qr2qIPyToHFkocL5wcuH6fwMIZ5dc6SecW46SpTMT8jnVj4V4u0I9NhMWKMYbDyYKeLoykf6RAex5KIAi2hD48MolLT+vmYZdknei6fkEHZ4c5xG4j8xznhYX9nlxMhHl8gfBUgbbhnGBLFyU68bSuXObxj4XfhzwYi69O8snHC7whVfyOZI7mNmcoqcPrdI7tu0Zg3mKP6DscWByxKLF/6HPagVOSj5e6umET/0/ADsPpH4UPC3OFKPTPUqGJ3UmS+bQlDDSxc42cnZa019U0A2YgY6CRERgj1p6rfFnkp7JEZ6eujdHZqdPzdTNgBnpnoG8/Pe+9aKcwA2bg7s4AOzNfuruT4PabATMw9gzwDNRiBsyAGRgvBr6lgu4dcH8d03eaxqsOLscMmAEzcBcGJnKb+y6VcYQZMAN9ZWC85/cJqj3vRvEO0r/1tSWTK7NHqTo8wuIFbN4Z4l2xMuElZfR4d4l3HDnnfUaLGTAD/WOgkZ1rpNS/OjknM2AGxpEBz+9xJNtFmQEzMCEM+J2dCaHdhZoBM2AGzIAZMAPjxkAb39lJf86417gxddeC2H4eEpYJ/GR0LIWfhPJNiPizZn6yzs/5LWbADJgBM2AGzEAfGJiM29xlH6rqQ1NHlMV4/GT0HaoZ377hGzZ8H+YcYSIdvRER5USTkoHJOL8nJVGulBkwA61lYMOM1lb97lXxR6u5Fwq8xIjwhWpeZrSYATNgBsyAGTADNQy08TFWTZOm5OUt1aqVSctW6dx35FOyq90oM2AGzIAZ6DcD/XR2+Bw+nyH/qzAkfE5IP4e/i8L87JRPfvMzTD7bPSjwOfdc2LngvRQ+Ec4nz/kWx0tzJYVxAvjTAux48FPWp5TolEXxnY/TBf5MAPXgnRseFW0h8Olxfv6JM3G4gBBPHLspJw5H3eV/PvPO58j5HDx/ImJRpsHjJz6Jzif/qetfBD5RHv9sQabeCfITVMp9oPD0cD7UuVIUvfDJp9l534fPpPMpej6dvohMgoykbklyn5oBM2AGzIAZaDcDTXYQcDL4m1fRIeFvl/D3Ts4VokOFM0Ac750gOBBLhPTvoBCP08S3KV5MQMJCfJSQ7mzEd3a+r/iDhP0E/t4MfyMq/7spitpEdlaIv7+CMxbr9iSdUyZ/QyVK6uzEOByjExMdTnln57pw3FpHHDD+zhVOz71QCPJ+HW8TqCuyp3CDwN8HqpNfSOGUTKkpn+R/k7BvSA///J2y7yX5jaZuWbUcbBkDTeZ3y5rk6poBM2AGNmGgkZ1rosSOBjs2qRygAGlxTBCcEP7AYiovU4A/vpYKOw/5r5vY/bk2UYrOzqFJ3EN0TnmP2SS3uwY+qSgeA22TXWLxJ48ovTg77PikbcPpwTn7TMhsRx3XCB/bmPvwydE64BThIFVJmbPThM9Y7nFZ5nzwjC/ZIqOtW1W9fW3yM9Bkfk/+VriGZsAMmIHuDPTlOzv3UP789W12bVLhUQ7CYyGER0384b9fClcIQwK7Ojgd7PIg5MUn5HkclgrOCYtyLqkef8kb2SFXysI4YfzlaL7imgoO1K+yuKZBHoexSxOFnZRLhYeHiMfqOEMo42iO4uNfHd6YQYOTJnzGcnM+z1P+PBZDxqJuDapvFTNgBsyAGTAD48MAC/BoZduQwfN15BFUKrcqwC4H8nbhCIHHTjxy4o7yhcJJwiwBiXnhLDQR8o/CYzRk+p1RpWeU8efSKyOPTOsRc6ENDwiB2C52dnhkFAX+Sbt9Etf0tF98jkXdmrbBembADJgBM2AGxpyBfjg78THUF1TbN1TU+AW6xo7CWRU6Ma+tKnRGe4kymuS/Xnr5y8PzuxS+oCSeHatrQnxs1ysUjo+PSpL0FNUvPseibj01xMpmwAyYATNgBsaSgX78Gus6VZD3bPYpqeig4vhlFTKz5PpOWRx58f7P/lk8L9Xy66z8nZ+SLGujfiiN3YXc4fmS4p6YpOYl5rjrQTTvyPALqDK5pyLTd4DYzeIFZOqMLBF4ZyfnCE54mTnnoZOoRprw+VPlwYvXOZ88Njst5L9Ex6Z1u7d0cwewppq+bAbMgBkwA2Zg8jPQ5AVGnAQWzOckzXmWzq8SosPwEZ2z8B4QdBbqyLsu5J86FfHXWOxcIDhkHxK+EcIc4gvKeyVxvO9DXs9L4spOd1YkjgwvD0dnj7peLqQ7N19XGCeOXRv03ieQ7kQhlZMV4K8a47Sgy/tHxOW/xuIXZThzewsIu2ofEPhZfZ38QgqnZEpN+Xyv0vF+UnykRv1wgl6b5NekbvQt/L41q4eD7WagyfxudwtdezNgBu7uDDSyc42UxCQvIvMCLk7DRcIZwn0ThtmdOV5gwecbM2cLODHkzwvLvMsTBeeJXZG/CRcLpGNnBXmP8E+BdLyUjFP0NOHKEMeLwscJVXIfXfymQLm8SP1tgbhUdlXgBwKOwoUCZfDT82UC9eLdoKEQvkDHlwh/FVYI6C0ScjlUEfHvW9GuTwplj8Biuj10MiTwgjYvJHN+eLjYC5+HKQ0vTP9RoG4xj5BV51BXt0XS4f2iF6WJfN56BprO79Y31A0wA2bgbstAIzvXSOluS6EbbgbazYDnd7v7z7U3A2agnoG+/PS8vhhrmAEzYAbMgBkwA2ZgghjoxwvKE1R1F2sGzIAZMANmwAyYgXoG7OzUc2QNM2AGzIAZMANmoMUM2Nlpcee56mbADJgBM2AGzEA9A3Z26jmyhhkwA2bADJgBM9BiBuzstLjzXHUzYAbMgBkwA2agngE7O/UcWcMMmAEzYAbMgBloMQN2dlrcea66GTADZsAMmAEzUM+AnZ16jqxhBsyAGTADZsAMtJgBOzst7jxX3QyYATNgBsyAGahnwM5OPUfWMANmwAyYATNgBlrMgJ2dFneeq24GzIAZMANmwAzUM2Bnp54ja5gBM2AGzIAZMAMtZsDOTos7z1U3A2bADJgBM2AG6hmws1PPkTXMgBkwA2bADJiBFjNgZ6fFneeqmwEzYAbMgBkwA/UM2Nmp58gaZsAMmAEzYAbMQIsZsLPT4s5z1c2AGTADZsAMmIF6Buzs1HNkDTNgBsyAGTADZqDFDNjZaXHnuepmwAyYATNgBsxAPQN2duo5soYZMANmwAyYATPQYgbs7LS481x1M2AGzIAZMANmoJ4BOzv1HFnDDJgBM2AGzIAZaDEDdnZa3HmuuhkwA2bADJgBM1DPgJ2deo6sYQbMgBkwA2bADLSYATs7Le48V90MmAEzYAbMgBmoZ8DOTj1H1jADZsAMmAEzYAZazICdnRZ3nqtuBsyAGTADZsAM1DNgZ6eeI2uYATNgBsyAGTADLWbAzk6LO89VNwNmwAyYATNgBuoZsLNTz5E1zIAZMANmwAyYgRYzYGenxZ3nqpsBM2AGzIAZMAP1DNjZqefIGmbADJgBM2AGzECLGbCz0+LOc9XNgBkwA2bADJiBegbs7NRzZA0zYAbMgBkwA2agxQzY2Wlx57nqZsAMmAEzYAbMQD0DdnbqObKGGTADZsAMmAEz0GIG7Oy0uPNcdTNgBsyAGTADZqCegYF6lWJDAx2rmAEzYAbMgBkwA2agtQzY2Wlt17niZqCWAc/vWoqsYAbMQMsZ2ODHWC3vQVffDJgBM2AGzIAZqGbAzk41P75qBsyAGTADZsAMtJwBOzst70BX3wyYATNgBsyAGahmwM5ONT++agbMgBkwA2bADLScATs7Le9AV98MmAEzYAbMgBmoZsDOTjU/vmoGzIAZMANmwAy0nAE7Oy3vQFffDJgBM2AGzIAZqGbAzk41P75qBsyAGTADZsAMtJwBOzst70BX3wyYATNgBsyAGahmwM5ONT++agbMgBkwA2bADLScATs7Le9AV98MmAEzYAbMgBmoZsDOTjU/vmoGzIAZMANmwAy0nAE7Oy3vQFffDJgBM2AGzIAZqGbAzk41P75qBsyAGTADZsAMtJwBOzst70BX3wyYATNgBsyAGahmwM5ONT++agbMgBkwA2bADLScATs7Le9AV98MmAEzYAbMgBmoZsDOTjU/vmoGzIAZMANmwAy0nAE7Oy3vQFffDJgBM2AGzIAZqGbAzk41P75qBsyAGTADZsAMtJwBOzst70BX3wyYATNgBsyAGahmwM5ONT++agbMgBkwA2bADLScATs7Le9AV98MmAEzYAbMgBmoZsDOTjU/vmoGzIAZMANmwAy0nAE7Oy3vQFffDJgBM2AGzIAZqGbAzk41P75qBsyAGTADZsAMtJwBOzst70BX3wyYATNgBsyAGahmwM5ONT++agbMgBkwA2bADLScATs7Le9AV98MmAEzYAbMgBmoZsDOTjU/vmoGzIAZMANmwAy0nAE7Oy3vQFffDJgBM2AGzIAZqGbAzk41P75qBsyAGTADZsAMtJwBOzst70BX3wyYATNgBsyAGahmwM5ONT++agbMgBkwA2bADLScgRmjrf8GyWjzcPqJZGD9qApfs2FasV5ZzJ62qpPP6oHZxdp1RTF3+nC+69etK6ZNn16sLqZ14uesvb2YNmtWsU56yPRiOF2xYThcDAyHNxTD4bVri2JGZ5SuLNYqMHP6/E46woWG3rppm4Xw8CH33geKvH15OAzfdTOHM5h+w/BxzXbDx5lXDx/X7jx8nHHb8HHDFsPHgeHDZP5/QDLS+t0Y5vdWIYOBlYG/aepMyYZZw+HbswJmq7+R2auG9YpgaTZMDz20YXrn+sC6GB6uYoguVoboTXs3K+RuEOxmXGOHRvM70E1xXdb1Ibgh9MfqwGHUmhXzWRf6eUY+o7qTTl1ifeJxuub+aGX16tUFmDNnjmzBcMXXy+hQBvlzzhAH6E2bNq2jt2LFimL63GmyMfq3fnh+rymuLmZNm6WBu11xx7JlxWbzgz0ZuKFYtW5VMWtgl07UfavMAAAgAElEQVR1105bXShH2a2ZxQ03LSt2nL++mDVrdnFzsEtb3X5lUcybV1y7butirrJesHapBvNAcdOazYt5c2YVszcsKzqGMdi1K6dpRojKndf+qSiWLy/+sfn+xWYKb7/qjmEDNzCzuPWm24otth22KwPr/lmQYPXAdsWyFas602fe3NnFitvuKDbfXLMi72/ZWcpHce2aNbK16zp8qRKd9iy/5aZi3oIFxYo109SOmcWa25YWm22+ecde33r7imK7zWcVK1SvafMWdGYuvbZu/QZxNWLT0Sl3PKXOzjUfyeNZa5fVGgaYX0zi4Ym9odD86Mg6vBQZozWaeDg8yAzNIBwdBDWcnzoJtq1j2GbOCA4JifGxOwVbJpIBLW+V/yaybi6beVIOps9Y3qaOwr/epNuwHzgv8+WUpI4OcdHRwTbg8CDoRL25c+d2HJ1bl93aMU/I9GnTi3/eKEdCgqODwxMvUueot3b9WrkJ64sbb5EjsPX8jqOzicjRKVat6jg6K7FjGEKFcXRuvk15SjaEzNbedlsxR6aqw7ecMZwkHJ2ORAOn083lfNx++3LZTGWo9q1X3ZbedGsxX04Ojk4Usl19x/BN4Zo75CwhOJWqA3Z3xsyZHUfnjnBtpY44OshsOTq4Lzg6y2+9dThu9nDec1Uvrq0LNnx6ixydTkNqxKtFDUG+XM0AdwAzmCHTZ8qu6o5K57MVOV2TmLuLWZpI6zXLufPs3OMNMCmnFwOasDM7o49Y4riWhDkNsmLFShkArJX2gVav0Z3OimLNWi2y6wc6dyEpkmRdTruk2Fh+uL4xzD2VkF/vkvtUi2ZHJ+7q0LYNulkEa2cNdLBGfQLmBSxYO1N3uTK2K6d3sGL2QAe3Tw8QkbcLd2gAgA0z1nZQBAxMW1uAWcUwphqfvbanqyupORV3Tzr9ovEJcrlVWzVgWcCqmRsKMKDZCmZrjoJZ69d0oGW0gw0zAkI5cdcmP8byYl1SJ6cfDs9MLdypk8MCvkxOQFzI2cmJuzrr2EUON0A4ScjqdauLBfMXdHyRm2/WTpD+7bDNDsU6nA7p4/DEmzF2fOL9U2eHSP+23nJux76sWbmyWKmdj1tXDLd4A04Sto1rFAX3c4adhi220G4RNm7ajGKD0szYYotilexfuOcrTjz22OI7P/r1cEb8H+o6beaAHJ55xcyZsocq//jjjy8u/M1FHX8V/4fj/C0265jQWXJ+cJ5mztUuT7BNa9et1W7MsFeH7uzN5hTr16wuZs9UPbSDc8cq9fjyG4rpq24uVik8Y8vti1kb7ii2mL6yWL5+hvbYZ2jfam2x2YDmpNKvWDnM4Z0VbfdZ2MxsdyNc+4ljgLuQzuSUDBtCzb1gdLnzwhBhgFatXS+9Yd+aOx50ol5d7blLma4FEMHwsQ07oAnZKbMusa+bATMwZgykDlcsJDo5Zdd6rQh58Pia4yztCm+22WYdRBl+VDMcwkGJj81WaZcFRwkHiHspfJutthoolq1cVsyfM79YKedlnpyQW2+6qViw9dadDE74wgnF6V+/pJPHhtk3dnaT3vKO9xX33+venR3quQovyBxKLNrmPC1aPWyPbrrj9k46ymS3ZYAdIAk+yFxW27XTirPOOquYfuu9i3322afYfr7SBUN44/U3FVvfY+vihhtuLFbdeHlxwgknFC/das+iePy/dR7PrZUdXXPHys751gu2KGbOUobKeJXaMlu7WOzorJfHizM4oMfF7HYpppijOmAn52jXaWDD3E59bpbXttWC4fMV2nmattW8Yvkd64sZs9d1dr+QOXPCTnon1H4ZXn3a3w63YMQM5DsdvYU3bNC7M7q31+ZpsUZ3RtPX6jn5upWaYrqLGJjW2e3hfLbesZmh+NXS4w5iw4ZViuUOQucdcH5nmHdtwB0rlhXTBtZ1dNbp7mPtem3bdu48ZhQrdbsU9bodKb8KG2+Lwt2R7ofUHqFrON+JGjHxrUjIOzrD7+lwx7he7yxM6+AW8Q8GZE7BjDXDKFazsgjrh7GZroG5AWyUA5YrEPutGNBdJNBYAnKPO7CUMxB3cvLjek3fFAvWDBRA+wEdxIGtBx4KyRHgnSrAs5jO8xgW7bXFTeprUCdxp6dMrx87Ozg6OB84Oqmw4N+mRZodHt7NwakhjvrgyFx55ZXF9ddfXyxdurTYbffdij322Lv4/Oe/0clnzQbtYoX8oqNz3dLriiVLlnQe/xxzzDHF29/+9mLHHXcsXvCC5xcX/vZ32kXGKcGS6P0XmbwBHBo5VMOzQpE8Yhe2WrC5HteL2Y7zM60453vfKw559rNVp+E9Mx5bnXr66cXRR7+r2GU72ZnO9sywUxEdt+2226ZzU4eDxStX7LUNyLGZOXtGsfmWcri22VpOCbs1uiCnZqZ2cOI4WKV6zthstnZ15habzZtfzNlMea9fXbAh9c8VKmvtLernpcU0OTo6U/jGYq7Ag7cVetY2HXu+To/SFGY0TCXxzs5U6s0JaMvs5Fn2dHZxmLgyPNxVcIfA1uqM6VoUpw1P6I4rxfN2/Vu3nm3n+iGI0eR9yZUrVxdz5w4bvbXaKYpb1hPQbBfZkAEewyB37sDFcIzJj8MZx3TZjXTDUqeOWt3uyKgdChbbtIdCOD4Sqys/Mo1evx9hkTe7M1FY/HFkcH54Hyc6LNEhYkfjl7/8ZfGDH/ygsyty8803h2fnRbHNgnnFf73i5cV97ve54rGPfCzbFsUqOUnYKR5lLdA7Ldtuu22xdM3cYqeddiq23mGnYrvttitO/ebZHSfokfv9V+cdl+9f9PvilltuKba8+ZLioIMO6njs+Ijrl93eKXuX/Q8szjnnnGLrGauKrbVjRF3Yydnn22d3ynj5A9cU1119tR4rrtFTL7VNj8Ju+ec/i7O+f06nrQN6B+Dgg5/VaeOuu+7acd64vVovG/iXy/5e/P3Pf9V7PbcXC3fZuXjEIx7e2RTCDq5YeUdHd44cnzXr1hS/vvDXxeWXX17sMGd6Z6fngOe9pNh8rpTlxVz5+98X6x60W3HZZTcVF577pU6/7fnCvYvNuc8jQ+Vzh24k5+rx81SS+pVmKrXWbRkDBtYVKzT5btavk7bcYlYxo7PzIn8n/NpqjWwpU4b49TIu12/YRu/n6b0O/ZqHH+YMb/6iM3wXP027Nx2ZNvy8eC5vAGqGrlzBTJylO6nlncu33D5d29LsH8ccOtGS6s3K/F51etTfOK+Hn7vfmc3wNnSnER250/jGmCl9DL+6Yh8AkYu5CQsz4mP9eAz0LA/HecuHt8SnReJ54QCZPrzIrp813H9rdDc8LMPx0/UrP2SKvSMZ2tj8kP/KKn8vJx/PMefchZzeuY0X7fHnV/OGNW6eN8z77Z0ltSi2DeN72+FpVqy/84lRzHqTY+rkxPNRO2BJCTgy8aaGIy/xRmEnZ7neifn6179eXHDBBcXZZ59dXHXVVR1HgZ0enI2bbr+p844Lj7UQHI7V2um4+dprih3k1CDYr9vX3Ca7pBeH5WBst50ef8nm0I577rxzcaN2iPQTp+LrX/1K8aNLb+jkffNFZxbf+c5ZxVtO+F6x/dYzi5/9/BfFIYccUjzgif/Zecz2kL12LbbQY7Lfy7Gg3j/72c+Kfffdt7hxpw3Fq1/96uKez729eN3rXlH88+orig9/+MPF5VctLbbccsviVj0G47jLlqs7OzurVS49dfEfLuno3XTd9R0Hba4e5R922GHFYx71iGKzOdo7ldM0rbOTvr449bTTipO/9tVOPXeWs3OTHtX9/rbNisWLn1fMu+3a4tQTjy++8KFzi7333ru4/6XfLm6VE/eBX28ojjjiHcWi7YZ5mi1Hp9vYivy37Whnp209Nsnqy4t71113XbFUPykf0M82O4+odWewRpOU7dn4KwlewrvmmmuKq9YsL+5xj3voObksEHcRNUI+3M39+U9DHSPyL3tvVfz98r8XV1+5unjwgx9c8CtMy8QxwLsISHRm1oef48Vf5W18azauvrGqcQchO8Y9oBA97ClPXPNaX3Lsn/AlCHmroSPihTu9+BG3Nd/VGXFGJQlxXHB4kLjLc+2118rR+E7x4x//uOPcsJOCo4Ljg2An2M1gkR/ghXqZojtW36GWTtPjo6M7uz477KR3YSS8qDxXDtTcgR0K8l1x67DTt3zl8uKrX/2qdj8u67wozLsxOCuPfM4jOo+6dtvsrcX9dtutOPHEE4u3vOG/Og4Wzhfv6xx11FHF7tvpfRgN4h3mzu/U++3v0mOr7WcW26z+Q6fcG2+8sdCvvYsztevDjtAXTjq12P0+9yr+P3vnAaBHVfX9s71nN7ubTSe9ExJ6CWAIXZoUkWKhvopSFERRUVEQuy+CCkgRAUVB5LUgoCAdBCSEEFp6b5vtvT3z/X9n5m6eLAlEDCJ8OZvJzDPl9nvu6Xe5pD7V1dU2oKLHJUjUpUn47/dSfSHR4VwkNdV5nznXrr/+ettvxt6eHn0QiTJGovN///d/NnLkSLvmqmtkdN5qf7rrLvv8T26zmTNn2rAh+Z7my2qzH/3ou3ZI2TR7Xu9f+8NnhaI1NmhrEWdg5k5JrAoT3sQzeY/DdmLnPd6B6TEmoOQZ9Oh7Fy5c6JMV7gAkwAQ97rjjbPTo0c7xAPG34gY0xjW+NVnlASPdMOoijNkwPiY97gGojsgjT+JXd48UZAuT/PynP7Zr75tt//jHP2xISghHkzS7cpLrfDOkG4eZzNb9px/8k536nd+6WHdkueLYdHVbS08eEmVxEc3iKXMU66HIfws9SfKTrTLJ2E6T+PTTPm2zZs2yH15zjl39sx/YHbf/0/MrGa6XVfiU6gknhqWPGymKnXPvDImPOjo75E6ZIbFxrnNJHG1tQnIFqMQUy0JIKjcXrkhWQ53YE6nOeV3W2CRur6DC2yZDkqYmiap7urPFefVTG7V6m9ImtC8cY3CTpV3pA9J5r6vaQhwdKSXpFEuiCwmJ+k/1oS7y1EAicjs7U7Y2T4ah+qsRZ9yhv+HFZW6JVahFNksNWYDIX9fYc+F12yBJXp7uM1aaOtqtMqfAJX44Z1mniGaJ++lX2pHztpQaJDX4rz6F+jKWgHDuSX4j+srSWKc7uuRNxXMf/5oHPVGPFcuOJFJbLi+WtZwavCkRlWFtwl+J+kYmv1al/iWHLKkvMnknYSIipRHaPb3tQznoF655FgyJWdyZA+EZ5eY5aqX+/fv31sFV3SorC39FRYXXD/sbVFQQHtjM8B3vIX1g8f/4xz/u8/XFF1/szYPvAo6DMQqeWuC6xcsWy3MpxzqbYoLp3nsf8/zxrKI9XAUmHNXW1eZqsUefe86OOeYTVt++2PO5/y9/FoEwSJRWtu26915WnSoU01ZjpT0rbNL4CZ6vhqmnhdrpg0ceZQMH4ObdLfvCHsdB2A6RlkuFk7HMfeDBBx+UOmofV50BECKTJk2yhlUvOAEHXqEtnnjiCTv99NO9rdrUPkhlfvjDH9oqEUfjxo5z4q60X6ktW7bMXn/9dbvoCxd7/2JXdOCBB1rGT++2++67z/b91D6exnTdGztUGcpjcsyYMVLhLbOXX37ZDh4kvAzCEyR+J379foDtxM57vBdBKIHgCdcgBibRdddd53plJiEc0FlnneWGd0cddZRPbCZ6j4IqFBY6deFEDQwfhA6Al1Wb4jmktCCRZv/+pTZ//nz76U9/at/97nfFxYh7yc63ww47zEbPOlliW01mMKbEsECLXMZBfPnMGp1BbEh1evXwmvC67VDfUG8DSgeoLPHvViGtosIiHcW2fMUy55gQYQt9SBx7mu2520eVlgiMziZHNG4rBBC8J0G83K+tF4It6++LAUGysP3JcV95zfOObiuWoR/t1tIaE4Q5cv9koWhsqrN+JVraVZ8OGXC2tMlToj9EYpwP7ReIGhBUjMxwwIiJgvcDoeON9FYgQqddnh0d2ZEQs9QA+mvobrBuBaMr1h+tKZ8UETBxmAB1jS829AWEZrbeA+23ybYrjIuW1k4r0tqQXbSpUepbFeX/x+cQOsSE6dLCShwq3KVZ5LpFpACNdbGdW0li64ahapuIUALm0VfJdJONcpfb1hUonADrsPgD9ZP6rjfK4KatG4gdFlnmAgfzLUB4DrGCRIK5C6EDBIImzJXAfIFjWNwBCB1UU8yxm2++2W6RBAUIhBf3IYogbtzWRobIXLNwk9enP/1pmzp1qh15/BFO/EBqFBYUWXmlrkV4VFTG6unsJMYM31L+3Xbbzc4991wbPCrPy5CTHYKYttojUpOde+UNXobp/Zrt8cdn25lHnuPlojwwP1VVVbGJd2KrCFHD/dHDivx+SoQL5c1QPdvVvhhSIzHKL8qTlCmlZzEj2iScRNsi5Rk1apRLz8G5N1/3czGbeTagf5mNGzfO2z0VpZzQaWhssAULFjiRhKcXYwGboELhJN4jPYm7fP7tsMMOvQYAlI+55/0BoaP2UexBZzreT7Cd2Hkf9GYw0GPRZsCCMOCUQCLXXHONT04mFZwAhAqUPgs0E9RkG6G5IkTRpXvigEQAMEFBSAMG9Jc+WFE7tfh0w8Frci5dstz+9Md77YzTz7KxY8dqknXazEMOsAmZ5U7n2KqlsfFfxWC5Q+Yz3WKrfkl26tYstvqOlK1vIvqx0I/ohhYhVYqBKyU+Ax215T7fSitY6GJDkJamGnGvCuyVHXNMO06ZaAOqhsojQW80iKDK66cIofIR0ocFmvQtmvSRDKIhkNCbAwTnAjnmyZ0SwiffpTqxtAokl53Nb3GQdSKAirNtXfViSR+qrLRghOJUZCkvCEJWgBx5gXTI2yH2EmlubPU8AndLmrQ3ZXk/QIiMnFguWVawzaERBT3QsYpF0qG4LA3ua9dlFWpPRRaR1K7eXlMMj8b2RsupbnXiuqq7IF74ygdJ6lCsL2LisVUedrRZuUijPBZOVifW65h2fD805duqQ7DZ8bm1GaAbujWBFbFIV7GdRaeIn0jEJRK29krZfahPFsn3prqt2l5tWOVze1hukS+6k5ryffEcnCPpBauBIvlKzGH1uTICFiGboQU4EBjhTDECMQMeYf5gE0M6ECwsthAPLKLx3Nq4zMQMViwtguiAEApSHfDW0qVLXT2FNORLX/qS1xhD4WBz4zcSIC1wGGU58cQTPR0IAhZuCJzjjz/eatbV+tuQdkhDbr3jUscDAAbK4EtctmFsKD8Slr322kmu57IxVNo5GpOo0tcsW2QXX3ShnX/ZT+zkDx9lGSvn2VelmgoSmi4xjbX1jQo3JibSUWXsBUpbIElREGYnHiuFW8mzSRIhNZGNlLppnQyUW5varLCowHuxpaXN06Vty8WogUmGVA20U045xc458wxn2CJJspGww0wg8SoVg9lfuG/n6dPtAXmAPf/sczZd17nqwyULF1mpztMnjpFodpA1RyJzO+tkVK2P80R05YrAal5vPQ1rROxI3KOxI0G3p/1+gu3EzvugN4NXAhOECcoZJMPkB2m4jln65T322MNuuOEGR0QgGQz6fnLNdY5IQChIfM4++3S1SLbdrwlzxx132M4772wPP/yw7bvvvo5AHpFnAu+fcMIJLn69/JIz7S7phB9cV+g64CHibDokSv30V89z4zwQGpKfqy75iKc19NmOXkTZJi7jh9f9zh566CFl+bxP/J9/+yERD3GntLdJ2iIXSuqBiogyt0oH/TsZ4D329xa78MILbedx/axR6YB4MALsJ+Swyy672A/+92pPBI+wr37tq/bE08+5q+rBKsvZZ58tpDZY7SQxvmL/ENdigHTs8xfOt29ffoMtXrzY8ktqfDH4/PlXOwIcOCTLfnXHr2zuC6u8LX523fed2zrm6OPtf/7nf3rF0Ii1QXAAZe6VYsVVet/936kgjxDJIhe1pMq+Sn+oUxYset37/+kNC3wBzFjT6ONycFTs7Tp4yEjngsfvtruNGjLKijPz2RAEqTvMqKhRHVta4d93rfj2K0RbQ4TkKKgnJE+PCB+XnGlspxS0cXH1UldtPLpqni1fvtyWdtZ6PwzMyPVFf08R9MOGDbMPDJvmOCKr3wBJc3IkCYCIQv28kdjpS8CTjzNMAsY6xALjHdzjsWYEQWLCNcRJUPnyOxA6lAd3b+Yn9iaoZoK0h/eQbgBIhVnYwXe8+7nPfc5xA8wbc54yUCbe/8hHPuL4wIllrXKR2uNjH/uYTRgT2+qsXr7ChkjiHQBJF+qirFSZ170nQ6EusmQ3I4lzWWmZEyivvrrcCUUkNMtly/P000/bHmNmihGL1VjUDdwIocB8AKg/5V27tsYmj62Qm/hwl0K14dElVSFtj7ScvMeMH600n/FvRshmh35F9dfa2mZDZSg9d+5cW7FyjQ0fNtjWqI5PPfWUHXfsMd7uAcChtD9eYDP2niGKLm5T2m3gwIGI771vKGcJXSQdHDia3+69Bqiu7zdCh2ptJ3bCKHmPnkEgIKEg1WFSgjyYeEwqCB3ExwxodLaHHHKITw4WdOx6/vjHPzo3BcFx7bXXusrrsMMO8gl39+/vdgLnxhtv9Mk+fPhgXd/iHNett95qkydPlktnm9XVVtvjz9XFk2fhArtESMhGHmY/ve56LxeTtGX+PHvtxedsmTit/DLphTua7YrLL7PfP9Vsv/jFL8RQPmFf/OIX7bqf3W2XXHK8ekO2Qfno1NusQCL4DIXtzc8tVZj1PMW9eM4efLjWvvjlr1tXS519TLEwho8Y5XV55bXX7X//93+9zHBCF138BZdqYdBInZ9+9lmvd75E2gMq+il6qqRK/Sts8dK59qlPnW2jh8+0m2683coGrrGvfe1rdt65nxeneY+1dq6wZSvm282K1bGhul4Ss6udkDzrzHNczAxypa3TF4Qgpn+PDq1Nip0V9rAKkp1Y82l1wrMKgWbEUYLYyXh+rs2WwWX01ItWLuJ0r875vggVtcW2VEK13ka1ZfOsSePwoWef8jE5bL/9LV8LTKvGWYsMJcvEfcKVxmLB90ML/nt16PXK6rMKQWywuEFyYHOWJclMlNVtK6X6ZZw/8/StvviPnbveBqgfzlkfR15ulK0deOLlCRW2Rovf1VOecEntzrvOVBC9KVbW089atfhFRbEUhIU3XTUVakPfspiHZ+CWgJPAOcwJIEh+kN5AMGCU+73vfa9XasT8BE+FBRdnBoD0+JZ0YC5Y9MFTMBR77723Sz/IhzyRoEAQ/fWvf3VCByZlXf1a65E0+bhjj7cPfvCD1tAiexvt/xRsZLD1I/2WnlonnLJSFcKdWhgV7C9b47FM0ZBRDJb172fX/ORKu0q4CoZvrPbQQ6IL4aAdHixTe+GMHD1KNoI5Vt+CTVosGTrmmGMcL51xxhm266672g9PHOmMZZdUZKixLrnkErvooovcHoe6ZIlxwNQgPz8OplggSVF/RUm+/GuXuVnCyR8+0dt76uRJzmyiusyR+rGhrt7LsuOESXbheRfYtddfp1iEM63cIzLn2A++fokdsu+u1rBexG+T0u543dxKSl60Xf2G2wHTxtj4SuwfpRrsardMlS0x7/J+eD/AdmLnPd6LQYTMAhKkCCCGgHTwJGASPCfDO4gfCAA4a7g6dMWdQgQ77jjZkRUunHAAzc2ylxEyGTJ4iJ100kmOGDDg5f5ee+3lRs7osysqpFYSMQKSGiadNDaAEBTz5r1m533xFzZ9SsxF4UpZVL7eRonoSaXWeYvXCQHPmTPHfvKT+22nqeipp7pN0Q2X32tHH320jZ3cqjpobxtxZnCAlC+Inyn/xIlV0jtn2Zwn5jh3idvnEOmhqwYNli79cbvnnnu87BAiIFKM9qbuOMmG6p0iqbDgWtkDxtdTETxwaSD/8847TxyQNvcra3dkPGuf8yUNu9M+fcEsX1QmTJhg3//+9xWbo8MlE7QDhn2UkXYHYYF4ebcvJ/weH2qbLb62aJTdhxBkVO9Go6v/dJ/6f54NWiJ3XUGqqCVe/LSzJ8Rfhxqedl7brtCSaqMFLQ3OpQ9du85mzJhhE4dO8e8iGcB3Yfn5/7kaa7ONnnYzT7pc7NiIZ0X7It1Zt36dG+9j1FpX84q39ygNdhbJLBFCECi8y2/GLYzRq1qcsetbu77N+2P/UbtbkeZ1m7YbSAeIHiCcgxQzSHlIN9jk8B7MEnMCxoDjpptucmKEd5BmADwHIHQCHoMAQRIBTiOvH//4xy4ZRhLCuOFdvqNupAWOgdBh7l922WWenhNMGj8HHXagbH5u9HleWtRtTXLvLskfYE3CdSX6Ll/pF+RUOnPT0z7GPUobxOwVF4jQkSF9gNPlMj509yO9/Q4YmXg1dQ2yMr0/SoTHFVdcYZN3j8evrA39s4y2ZidS/rqizcs4fPga+8Y3vmFrR52gfFUe4ZCrr77alq2u9f5o02akU6ZMEnNX7VKuinF7a2+vVhkhj3LpdZOIGuqO2eFO06bGRVP5UWMBjY31jj/3nrGPS8isK5akT98t9tpiLcCUYXFtEkxC68ZQtSnSbiR7AH2Js0q+7BnfT/D+qs37qWf+hbowSeBuQFogGyYjqgOQAMQHHAiI4aqrrvLFGQBJvPbaa3bHr3/nvyFy1q1bL3sKuJV8pdcl258yuXfv4YQOkCMuo7m5ReLwFfo+JUQpo75WiZhlI5ArY+JqSUGXvTTbg1ftOFWEFN/oGFAlSY4kI80NGyxLti/9ystsyUsLbN7cV+wXt9xuP7+hywYNnesc1osvskjKQ0fvpVKKoivbm9hwOlP5tVlDV43OdVZbl2tLlka2cP7rtmTRQrvrt3fYb6VmGjpitLuirlmnKKFCAh/Y/wC75Re3uqrp4IMPtl333NuO/ODBzrWw9UukPItkHPj87GdkpNxgO04Z7gRWQ2u9L9IV5QNt8aLlcsPEBiFXodll06P3M3MUjEzxLTAEZHEItkG0E6AZBgIAACAASURBVMRXsCV4r0t3wu7lfcMZhV3J67TQijy2da/Ns3vv+5ONuPcJ20GL0eErM3xMzchYY+pGt75imZQZrRtOvjh0gBPkf5CqpUv2BU81VluOuO6Ck0psQMEAMZjZMqRtsYFd22MLMKb6Qnq8HVRXjDMWqcUrFrtU40kR7xAvd/11dUxsygDZpUCpdieO+ilmlWSltm9OLI18dAzebi12c/vDVrthkf3fuS12UPZBdmTXRhVJus1OuA6EPUQJOAViJRA7SFSRxsBIwCBgIIvEGAiqF9IJ97hPGTGeHT9+vDMTuImD22B0GE/gCPIIxs5cQ0RAVMHQfeADH3CmA4KIsu0wergv7mjVIHZaO1sVrqLEt12A0FGjebnySjutskKGwz2ym0F9p++BVhErhVKl5wovdtU32N67T8WkyQoza/x5VVZsZyPRju0p3IKNGx7cLfIspE0KlGmu8plcMlB11sOOlVYp26GUqBWZG8oLTttQ6PmYgv6WK6kO4aVwCslur7chkrStqWt03M3cyVGZhooBHTF8WCx1UT4AanzqnKs2KkwIxwGqS57wdbHsgDJBaIpY36n1IJXXX/tpZdmkkg5r2LDaMipjL7D9dpvkaWF1l5WvWEbylH2/qbK2EzvxeHnP/g9igdgBeQQEEpABSAMuB9VUQEpUFI4KBPOFL3zBBlYNs5EjR/pk4XtEwQDIA+TFex2S/oCU8iQGAYEiWcHjoYRNYYqrHAlVVzfbSNE0cxLRNQRAZWmBNbYJsRZosiVIkDQBng+QiybpwG0MGFTjSPL66y+XekwbRQrJxCJq7dib2MDwXWlOaeKF0SzOL0McaeyODHKCE2wQp3rAAQfYscef6EgSIz3013fc9Tt79NFH7Zbbf620v+cuokQIzYpiQ2WQLMh1w4aU0sm0foWyBWpt9LLSdrQDSBUEhplCrkTHIQYQ9aftgr0ObUUfBHsGT+R9Ckh1Zq+Ybc9IRQrxPDRRq9LPjKkosXDOA+Gq7Ux786TULxDktGu3Ng2lf+krvG+6KgfazJmKB1Kyg0uMUM5shy23gFrQH2Ij0iGq8pVXXnHJySrNcVQ+AG0NxZmblWv9cmKDuDytyPwxx5iLEBHMQ8Y5UtB69cWQo4bYkbZzb+Z9pTr8DniFdJi/zMO7777bpThIV1944YVebymehbkRmADuUT7uox4H7+ANhfSYMcFzDqQ0QfUUpKh8wzPmGfmfeuqpPodR20H4MSexrxslFTd6PoYgzUWb5WhsEiOMYHxO9PhWJRptyQqfLyKwozsmrPyB2idHKrhq7R9Vwpbl7rChMB9K062WNN8zlKZ8ORTwT4euPTyAzqqIGMCYaOwR8ZeV9EspGr6e2EAfQqdd3hqZUt3nyykkM19l0ncV/YVUE6A9SuX0QbIOnCXR65eEEmGPq0JtJ9Gl93K0JsQMWGxT1SwcVax69sh7r05EW6Uy5zm1bmiSM4qC/rDHVqvwIZJvoEuerVlU8H0C24md93hHQugELgQkAPHAPZBXOsfEOwExId1BT8ziBOeEDnmp7HaeevpRiUO1wGjCt0iyIWGmBrs8EjT2O8SpWEaBDd9hkLgdqR7kITUkY4B1dvW3oiHTbIdn7rFhmmQvjD/Gnm14ypqXLbB+wwc6ocPC12GTbEnuNBvbdqMNqXndGgbvZBll4+zMMw5yTq686DTvCXa7bmuXSiizSpNZLq3CBevXrZTdzqvKv8Lyo49aVD1I4difsnxxaWXlFTZg4CA76aOfsJ0k5m5sbPFJvK5GImq5ijc2t8m4eJB99oJz3a7mf878hP31T3fbCUcc5JxtZwb1yrVdd/6A/eXPjyni6ss2cOgk2fIMtOrVrf57t70P0FIy1DasFfecqWjRjetscJFE7NKXg2iDXUJYtAMi3yo1Vt+1/A3sVIysEpSqFgofhPsbOe93YijnyR5BA8eiUuKwSJIm1I4x5+gOqUI0zqra1tqy3/3Jqp79p83QYvfJOUssR3YjOTmx6rFDiwDgAZMlLazLb/AYLntuwBXEbC95oqAquHV8qS+2d0v6P2JwkQ3ebbStbdxgk4s27rke7EL4Liy87zRBmZEZe/NEsm0AolS8ELBnEZBUT1cSXwlC97EhCiBrEj9n47YmCJGh/YcgSsIg4Azuv5NzSCdbC7ovbhJFcnZPHF0Udsa/M8hWbbYiv8P+9tzfbO7911luy2r7/bNrRHw/a4WRDOaF5fN8uGg+x8WxlOaVkraC9gYRQWYfWcR8F/GzZIgT9N+fskKL4IO25ohxHhKipm69VfWvsuamemc2ikQ4UayAe+688053amgTnviNHBsAvJx4Dl4CmB9InOlncAKu4Uhc+T1q1Ci3AQQXUT+eg8cAiLEgkYahoHwc4DfSRzIDgQcEQoe5h2r7uuuv9fsh6mVBbmyUDFGTzZ5S8VP9nxAVidYqSxLIQs3vjCxFhJd9U2uBjHsFQ3KkhlcbVufEvwd0x6q4uuxYYj4oS+NF/FyUJb9CGhg1o2x/SlRWxxMjDnI1VFUY1rLxCZDv+zUEUHn0M26B+N4A2Q0BJNsLYroCFCr+F5CTmxjU6VqyNr9XLLtEgO4vKZP5AXsTwnwISkuE87X7eZ62qsgWLgTi0Gq0TmKkx4ABMpNQ3D2x2syyYubYeuL0LQuEIYhiNV6YJ/HNLf9PDLOS4hJXx9J3EMDxVkRx/mE+xQEsSL9PWultsoVsthM7W2iY99rtwN1QbgYKEhpcGtN16AEx8Q5umKh78AQAuaATf/755x0xwaHBRcFlgVwYfHBOEFA8B9HgyQUyggMjUinv8RsjR4gNvL6QhPA+9gNw6+jU+Q0iwzOMmBif//znXVc+ctgQ11HnSGdN4LBCuaJj19NfUiTKDVfjcSIE5E9+3EONNHLkSC//V77yFTFcGe5uXzVkuH1YG/BdeunXbL/99vP8Xn31Va9b4BpBPmHR3HPPPT2YF99+6lOf0tqS7ZwmhBjSoSKJgwNhE2KBvK59akDepMOZNqIN3ukF+D86NnvZSBZyUI1H7xARLNShZ3hcoa4o0YIU6r2pBKAvVtq09GzxipiddmMcIjnE7mL85ENtUL9KGUpuuudS37pvFUHZ96N/6Xe8WGQkthvJLha9EoC3Soo94IBedWZIoPfDmGilbTcHLGxhcXOpg46ICxXLv4jXFFtWGxskM7/oh6BSYuFNB7qTHAlw7qB0uJel8a5OcIKEeU+fMt9eHvmyzdxnphM6qL/KSqQyUjTi6rpqJzbOPP0MV1WhLmduFbmLD6EdpD4R3miV2hsJixsBa84ifcURAXUTOIi5HCQ4oY0CsRNU8hBDYUylS3nDvMMbFM9M0udbvjv55JNdffVuA/1AeWgr6sk4By8C6XGF3u1yvlv5t7a1Ot6E0IHYJtYTkL7n4rYq23ZiZ1u15LuUTiBgmFQgOX6DZFi4kWRwHQx7QUYAv/ESeFaeSV//+td90mHMy+LuXKOeQ5hMnDjRxcJBYgTSOuiggzxgF55dxMOAwIAjg/tC1IzRM1wW9zE4ZmJDSOBKClHCNcQR8Jvf/Ma+dMWV9t0rv20b1q/xtD91+sc8CCA8Sf8BldbaKOStX7tpa4gxIqRSMrSEAMFQmvqQJmHTL/ril51IKi0f4MTJkUce6fXAIJs9ZTiQeh166KH2pUu+pIUiXhCQzlRvqPY08eBivxm+GT1qrBNuX/jCJc5VNsnlAm8NDJRpLwIxTpgwzssB8UO7B4QcFpp01aFXeJtCwoJu0zQ3kxgYQtHFMpJFuoTFV7e0NZnVt9XZ4qeftZbFy2zasnpfuNihnmA8mRqPGnrybokX+y5+kJTsS9IhRwtBqrvT+q+LpZKjGzSOn3/dnpj9hB2676Eaj7EtCt9sSkTFqaRLezZJeFv9SDjdQN28kXSLqYk4wL7KqPLGEJ9TsoNx6EyoklgAhN7JIVVAhBx2NIrfK+hJ3sMoiobOS6iVJEhgtYI3si1AkbhwgEWUOV67aJ7VLHzJ9npJWx7ArDTWWW5+P3tVtm+0W1WrdoHTe2XKiZ7IziTWVWQbClFVK/6LqJ98GaVOq2twQunLzxGyotFW7rnSlq9dbqMG7WDzXplnWZp/zJO//ulexzcQMzBWMDjMgZaEIWkXwQRgUAxTg+cUeIM5xLxEuhEkN3zHXAlA/owlIJy5hligDpzJGyIIt/pLL720V3oUCKuPfvSjTmAVZv+7Nl995hlEoSD0cujI3reS573yWJUTYoc6hrEaxjHl/89BXMLeBV/qrE3rEbf3xnr8Z0qGPVSAGK/Gv30dE4PRp/X/rUI5c/AWwPze4nvqwDfO/7dIcPvjbdcCNH/6IkvKTK4gCQnxKkAuuKIyoAAICyB4S/iPBODomIhIiEA2IB+QEb/DBMWzC9sdEGsgpvg8hH4POnaQcVDzUAYIAxCW7/8ikfV6BdDqJ6mJL6AtylcRjKHqFcc1Lk0yutqkjmJ3YpBLq77Jkqg2V9FeMyR+BRpkyAfyLCgu9bIq6HHv9hArV621YUMH+XsZWmyZRCuWL3XEK4G5jPgkVpcPOjF51q5ba4OkFoPlpbxFRSXeBnDTrNdspZGnbSe6pc8mH7wf4DZpFxCwc7NJm2wVsdN39rxhpvWiTS//G+W3G8XgyQtvOGl8vCHVtJfefH6z/TGfK1w+5zVaaInCITmXvbbkNbv/Jz9yb7QDV673dvrQvJXeBhmKbI0KMqt7U2KnNdlnopQOEmTLsJN2uq9Mgd20YP5290m+MFQef4rcbE+20TIYDfCuEDuZCbGS7Igp3tOLIwGigza08HMcB1pNlBB3YRHslNoTKGhPgkf1IXa6tI0Dc7gLdaqgsCvx4mmnvXUjPyECEmJnfU48YIqSfHJkwM8+Tr994Be+DcsRz7/m7XnW3JWWX1hu83Nib5wKFYP2688YZQnJVEGUb31pj3CAwi/oJwqMtkRdc+/4Cu+HL6rfzzzzTBtUOcA3sGxTTKosceI9moMOmxm/5ZpXMDXMr69d+lVnnMibORLmBnUGr5AHZyBIdgLhwzMAXMb36YSPPxDg2XTZZZf5M1d9iCGD+CEGD/MSMnLzsHXLaIbUPUBrsrFxYU+stqnNitU25d1y0BA0ZMdqsNJUbOfXkxn3d5BMBtzAu0H9FurnCbxDEAR78YYiG9VairvtOaoH/JzFniKCKCHWZI3lv3s7+B1SYwW8m2TWe0LiAyEkhVZyL8Yjb6bGeis810vo9c1s++/3RguACIJhcroYmIUfQieISlFZwe1AyEyZMsVFvGykGQgV1AcYNIJUgtiVNIKImTwC10TLBO8j7vEOCAtxJAiO62BMyHUgyPCgYKLzDe8CZSJ0iD6aqclVJqKDSYnhb6cCChZLEtMmAsjfZ+sGAcgyX1KVDNkwtMszqiBb01mIszQx0uMdkEhKzxubZOSs7SYCodPc0i6jZHG42qIASY6nJ0NoAEIHiAmdOJ/Y4yNGininEbE0rgscp5Z8tZUH6kqAdkhXjW0VMnszMqQ3ZS4Cct4S8t7k5W32I1J7OZEhI3UNDCuR5Ia4HsuFhJ6vWWq5q2qsqqXHZq6WxEELQ5TZpkNhEFQC2X/rXlzu5gTTyATMIdSmVQuzbDNt5x4ZjK5vsfGyHaG/X2xaZ7VRg43NTCQd+iYQO+mV29y9bVZ5JRRp96j0AhNzBQiLRyTiIYaASpNzQgQUBMmONm8E2pNz2FM6T75sEDW5hLN1vtGpEhE58bYJxiLL/YTYkT+NS4Lykt3o62WHs7xzua1f+Kq1r19lxy6NbR5Iqae11sbnilMWEdASaU4ojSbpvVCZ9cj+jnRqNY4jSYuqy1Qj1WWuDGQxuL9N84LxvLS9xC5ROIYseVv2JLY3gThB/ZgS0c8cYKxjDLz7nnu4RHj//fd3JqLv8E7njcN1wFtJQ/ZKQQLe4BykQIGBQM32q1/9ygkdIBBNuLZjqIxUJ8zVkO6m562cR30lIAnR02tdQ8RpQS/LkfwOeTE+A/PIPfAxdaG8gZncfPm2zd0tETkKjuEZEAoU6EnKHYigQNRn9BIb26Y8fVMB766vlj3YANloJoDdTsCdbxg/4aW+D/omvJnf24mdzTTKe+kWCwNICiQA0uBggnGPyY4khaB9xGhwF0u9j4SH3XOJawIgZUHcHGxykNgEDwkmJteosoJUhzSAILUJyAokSN5Ii3g3uGSHfOG+Qtl4znsSwvsuviyPnVJn5BLmnj1+ZAeTgoBKRL14CqSr5OQZKcJCw1dqgx6l0yTD5DIkNaoz9amoGqQQ8JLYJItOp7wnKDf7YsFNZDux1O5EV3NCUFEn6pAv0T9EIOXOyYmJvFi6g1nDRpNB3kXaE0TrYeFNf8cb6v0ALOosboyrRIaPV19YAGl3FsewQHmVt455VpvH6grGWRhLSIuIlD2/Pd4riORC+6YTOGHBfKeaGDLcQS7yfgpquOS3GiTJOmmUxLsvNFJ+xhJ/3poR16M9M1ZdZLhlsSQ5GXHU2oLuZm+7rJSkmhA7UUzsdEqNxv08hXcAXhoY51feGpdrdXfsSdWsvmAsR1FtbDujd4nsK8TgRA7LGobjGZKI0sZdktC5Gkoeh27jp82wkPm+pIPz67FAShuxxirn0M+UgfGdKSIAVRUEDpGJmVtEMiZmC8wKcxhgjrDAuwpNKu1gxE/eMAbMMeobcBeLHL/T+zjgG9rBGRl9+6c//cnV7jBd4BlwCXiL8BKbSqv7ip68WP9RCBKpUOdQn75E3n+0UP8lmd1w4w2uDUASB/7AdgeGlu072mXsHtS126K424mdbdGK73IaIAaIHQ4mEpMI5AKAbIhW6gGmBCziIAPsXPDGYiJeccUVvV4QIAzUNyAm0uV73oFoIn2ug1g5qKdIj4kcjAfD4h+kRhA2gRsME52yuEEvZRTxEbwssuV2CWTJiyEd4WWIk01HW51duLkWKoKyvDMkrlbsUf+Ob7DNAXCdzJbrJHtOsuFkiAiKQWVVpTy78I5IbHdApLlyO0tHQDFxt3FXZ9agLF9BYJbj3d/5jrqlEzikQVsFJO4fbDPYSgpiG+XXJJUfkoASNvxR1v264vo3a5uNFZ0NNloBzzL1bHy9bD/YD6tQja0YRAqSswmwsSBQTBCSNMBpo06mZP2bpCIVkzlWiyxeIXWtda4m61odj4cwFjYZE+oQxt07CYqq5MlnZMT2btoaN/6diPmzFNkbSCV+M32Jo/ymuOLLypf6e2tKY3VVflc8Xic2lToxU9ES23S05K33cbOheL6f89ri/KtaYw589pCY6BmROMVUV8URi/upDwoUFby0LqV+kARHyackNS2U+pcWqimEGYqsVfOXsTlH8wKV7E2VqLE6bI66BeGSYgs6RFmJ7CJT+dLGSGJVzhFDhzt+OP+CczwQXbNs6rDZC0DvUu62dqmdFYeK/gmqdPAEEKS66RKP8H3AE/ymXXzhE0EDhL7H0eCRRx7xexA6wKhRo1xazdwL6YdQEP5CL/QdL31/hxfjcUpcKKBXkKAI7kCvZCczllD3skCJ5Gej+mgjg+T9KfyMzWLYALS3WO/YRVyS4JWVpXhhQEdWPK6yU3GfdEgdChQmEkQ8yIB3mkDA0SVE+IfQWbZ8Wa/nHUS4JbZpXpg06NtrW4MV3+m69C3j9t/buAVABkzudLsZkIRz4DoTSJAIwgBckUff1BmE95T2VmFAERMDY2OIFL4JAbtAFrwbCAA4NNRULOwQDOjiIXwCckEyBFCWYNQMggsEGM94h7LxDdeZMuxAlOk7jDuknBgLxBPlRAKTbisEIYY+t1PRXdk0EshTnp36LldRT0m7XYRODoSOngUip0abgVaVl9rQIVLX6Ym3neJfsGNwB9s8C8jbCcI0uxvu0w6t2sU97BAfL7KxFC1dIkGdqO87Q+h4Ef+jQERe9yjSuHBIiGguA9HrnKvaJ7ObKMlJjCFsrvpipM2UPFuStgxJGXJFeHYo2itcHgQ3Rq1w6aeNOaj3q80RPIzXdxK6QyTchAr4V4mdwtZ4EVleHotK1mAYLJB8xc/j2uNFp7A5buNubUBJPWtK4vdyW2M1XllbTOS8XJEQOwlRskahHf72xN9s3h/u8jlHDBk2WG0vIBKyJKyixRKNl8+3GoWMqFEQyDnKG3ppwTIvhgyl4zP/052dqG8Quam/B8tQH5sd1FW333yL44yBpeVSAbfaDsOG+4fMJeZIu+aRuxBr3iLhyVVizKl0IiRIjZnTXLuNl+pMX3IOjBq/A6EDYcS8Zsz95Cc/8f34Ah5DJc0WMTgLBNy1OUJqYw3/c1fgCeoEDgNvck3Z8Xwl0GLw7PzPlei/K6ffKf4ZeBxGc+WqlW4XhsQOJxPGUa/r+zYo9nZiZxs04ruZBAszEyqoZChLkMCwy/nFF1/cSwgFaUMoLwgBgMsA6QQ1U3jO5OReMCpMF8diXBwkGoGDSpfaBOIrXcoE8uIdR4TKL34/pWBW2hoCtRWIQQarmTrypdrCOiFLu5HrDV1lxmJNxYTIkpQGGwZUUQpl7KJ6PIYCVwhRVlwaB7Lo7JQERoFEUGNViNBJSQ0B8i3WfjNe3zSrApBzkWwTgCC1AqECSHKAHunFWNCx3+lQrBnO5EvZQdLUNxA8/oGA/AJBGNSBIL34PdKJCaTwPu1JWnwDUx2ka8H+ivfSkTntGvqccoT30/MNaf+rZ5Gm4m0REySUCycdGH5iu9Mqw0YCj7WlpMKSmiSlvmlR31bACqtrIrU/kJGKea8MxGyCQKPUa0sImOMmpd+qBTZHCA77kOWLVtj0z+5sBbIt8e/VXuGIv4/T4d47CWwrEucflyPYQATevkcRhnHDb1FY3cJCGcnqr0FbYBQrijjX6wvFEKi9NnQ3+HYta9uf9vGQLTUVY6up/CiXqpYnoVF6uqXSVVNlK6AiNjVdilDn5HxMG1lmV531z+kfy5vkPdVP3lwzxu5lj7TfY3kVI2xemaxyJOn8R5beU/TglPLAWeCvCliHBK1BhA7kEvIQemQ9PIbKlys7bIicWfqpYMs2WhlW2kD71U79HYecetxJ1ippaklO7C1TV6/05TUZiM0wvrPFvLhNUaLqpujhGddAwCPhmvEfJKOM3UDs0LdhDEMYQQizbxSxwXgWMxzm+0qx2TB5hnnI+8yJ4Moc8t443QMlHndwShuqguduu+023zB18OB4l/Hiyh3801fmvuTzdNDgob6tTmftCvf+HD5hmqQR2nvvnt+6pKurEEkdEqdW329wz50muVcnQL3+/Oc/u60RdYHYgajHVpL5jAcp7UCdIYjwqMWukjoRcBO7yuOOO87LSRvefPPNLrHHY5YQHNhJITWC4KN9HKdnxdt9zH55se/RNbwnts2c8pEvWH/R2UXaKHSZVMYrSnfx8fjgjZf7enHkaRfYcEU5B/stWrzI5r243MMFXHvjt708B+53tjxvx1t+MZGhMkRomzx077e5rz7g42+v3Q9VcNf9elWar772qrcbaRP64/DDD3dc+/AjDzvOhFC98sorPUwJ22sQQZtd66dNnmC1YsYJBksbjZ002Xe4T8lhBFyMWQIQetN/bAG2RvqzhU+33/5vaAGXjiSLLJMkADF2iGED8A4DOUhuQAJAiPfAmQEcOK0Qlj0gpYC4ApfFu+lEDIObiRWQDwgrSIPC5OUZE5BnlCUQUZSDdwLBwO+QH+UGwoKGLQ0HAIdHHtjrIFVghQj2PYFbqqmtc0IHCGnhiRXSpwwEswLwAMPOAOM4gPLyDfWKCYmsXqkO4v+gxgLxUP/QttQtpB/amXxCWqjYAqLmvWCwzbu0O+1AegH5ky73WFTSucD0RZ6yhr7ifa55v+8i4xX7FyHEien9jJVYyBwEh3oC5EVe7L7dGbEhI5GTZYCpFVo021aBiu/tTZ0Ctw4CD+23VYm8Sy/R3p3J/KIISFbcSF1/kCnr5Lzzz39We1RhbOdYTO9Q0D0WKiQUxIdiY8u/PbTaNsg8hu2IpCEU8tZ2LHi0KU35w8UG4joVithoQ5UG8a3Ib/JJ9PxYNCGGGUPMY8IlPPLiCnvw+SU2e02HrRZ1w2wC4Qfy0BeIZJVAo1tenqlAoVU2oWik7Vy5s+06eVfnsBlHLZ2KoyXum1g7lC2dYCGZtwvgLNKi78PYTZ975M34Yp6x2AdChznCe0RLZ6EP5Qk4iPIERuWtylYjIhQmhL5Ayg3xyb5iGDovXxV7WyH5PuGEE+w73/mOtzMHxM5rr8/3OUxcMfqT9oUHI/4UizcELuWnfIHBAwegfgN/UQ/yJJo9oUAACBu8zCCMAN5l7Pz617/23zBDn/nMZ5x4YY7gfk+cIcYWczK0n7eJ8v6tNm3GrorvIHzZxPmXv/yVLV+jcaQ2RCU4a9YsD8+B7SZqQuIUrV5ba6tWr3IbT9aSM8880+tCW33yk5+0BQtWKsCqtu5prJUpxLc8Rhl5LliwwK8feOAhL++8l+e5zSjtBMFC/cgTxvMHP/iBwZRD5ODUQtswngNeaZImgnyJ6k07sF/hZZdd5m0cCB3PZCtgu2RnKxrpv/kVFn0WTRZHEAK/meQg0ACB009fIBlUIEYAlRScBMH0GKwMtIA8mCBByhHSS1crBQkDefIuiBZVGaoIJkZAYkz0QACFdEi3W15X2SwO2ITofVgJBnWR9PSZ2fLQ0a1uWcSCk+sb6q1cwQbhHCXLENcgJCJkiN1Osza6IgAh9YfQqxg4RJIccZ76jiMdCQZulHdjUamkL4mNAXWjXEhtQES4nNN+AZDqqCqJ9CSOn8EzkE56uwRpGM9oGw6QGos47UMepJuXDzGGDKvHSvoVyegz3oSVtqId8vML/V0IAoQYNBGeYXHZwj1qGKsSGAt8C0IKxKk/fJsQKwmVOSGQfaWMC1GuH9MGjLBXq0qF0LvshaHxojRcC3ZKe6mVCs8qPqRqOT6gjAAAIABJREFUFZctj9C/gswkHn9Pso13St5A9M38Urz6MmxRVUwMThsxTVGCJUWItUBvs/Tb7rPghRWPJtJNRDEidvDCLugvSZ3uNlu1zAzy9P9Ce23Fa/btv93sY3Jix2xFHy+3D5fX+oLUInUrc+K5rmd8T6e7Hvqx7VS9k52yx9E2cfREmy4ipr/asVV7UyuAr0a7jHPV/oWyFnHynb7QsJTnuLU2ZNmGjix7YeFquz6v2da+/pjsdoiXbHI9F7HM3Io70qpi/sH2SGowQcJdTKH301HUJuPg7GaFC9A+U4PkwZW3UlKGPX0BKsqNJZ7tcnMH1+Bp5XMmYT4o0tsB5gVEDuCSGP0GZ5AH5yBxhigi+Ci4ibkF3mEucY/dxEMaAccxxzl6I7UECi8ejhuLKkPzispyq6+ptpNP/LCNGj3C584Rh2tfMElann7+RRs89CDrL4lykSjR40493fbde7p1L53jBtmPPDNHRNGJtuf0KfbCPx63RvFKEKzPvzBHXqNFLtWhTBzgVFSzLNwQccQiY+xDHFAvJEqUGakP8coWLVrkUh6YUe4R4wscA6HMtiC33367E7XMeQiGP/zhD/ahD32ol/ni3Zplr9uvb7vFTjz5o/blL55vRZ1LbY4iXZ9282NWVDnUph+uiPg1qy2ruMIOOeZEO23vKjvumCPtg2d9yb7/ox/bdd+71LfZWbg4Jng+ec7R2idQkfKfucAJj9vv+Lr9/OafuxTrl7/8pU3ZqVxOIT2KnXadEyUP7H+/24yiPYBgox2QPmECQd3Zygh8uP9++7uXMDHaqMNR2s4HA+VbfnK1xnuGE2JFWlteW7jIg8Xustc+Hj4lT1JlYGsImXiUvZ1Ruv2b/4oWABGFxThMKMSjcAbBzoWCgjQAJhUiQ7iWAO5qKq4gBPsLiAYkzaLal0gJhBD58RzgOhAUQWJEniAmJiMHvwO3xSQGQUHoAJlCBAFhsbhDyDCOWVtLimMVQq+kR4MfCU8gWsgbQqdFxME3v/lNn2RMrADguVIREhI6uDF08BTZHOfnhInUM33rhTQHsSmA5II26tYiEiQw1D20N/UM90FSAUBOBFajfwJhRFkamxq9TNguBWRO3WbPnu0cEosAfUx+7dotPPQHm7ECoR7kGZ6F8vdm/u9e0BEAGAOKS4CtRDBkZ0wwFhEaNjdrqdV7/baCUKHPKXNYnAKBjAg/ffzGmf93/l+QuJO3aIwkSif7+zN/d86bsTBy5EgX2xO486gjjrIZe8+wPabvoU0l97bddtvNt0xgp2oWBDzQ5s2fJ0KlU8RTh9U3p3yvpWz2l1MX1LXEDEpqbY3Nf+IZu+WmXzvSv1Fjql5ShBUdLe4sHAxofUxAJQHqQ/lRiYgqsdGZpTalYqRN6ldmE2R0PLz/IFdLMf6Yq4xnFn1s9CAqkNoBRfkwAHH/BzwQJ/72/g9pQNgHPEbe6VLRNfI0O+OMM7w9wScA3/F75syZvQ4JfBNwCGkEwufNStYjHAfewJNz9LhxLtGBGMF5g3qDp9j4E9wIkQoRApRqkYaQQeqB8Pj88893ydPs2fOsvqnHJRf0N0wfACPInAeYr0hYKB+4DpUNkhQ2cKUOpInkhPzmzp3rZUF6Q5BY3me/MfJmXNFXlI25yP05c+b0Ssh4F4IJVRf4fsVqef6p/aYrojztRLpK0J+zo/wRB00VYSzVqAiRXXbZxZ9jl0Vb77n7nirTx7V5Mnsldnj5iL4/TxsA+554UsVNnDjc60cdiI7NGUYaA3bOMNMQaSFcBwQrB+khYWeuBAacdBhnMAK0E7jwKbUPdqa0BeMyrDee6VbA1hBEW5HM9lfezRZgsYAwCWqLb3/7214cBhLP0OEiTgWZgCwQeeN2jug1IBjeDZKAIFoOCzZpkX74zQQDAicWpBiBoGIy8z6DNB3hBJF0QET+nSQbKQgfxcMJsUTIp142BnhktXYoDotYJdA1+2AhBYGjLBTBQaybbiGRbCFo4JZbbnFkhe584NAd5FKumDwyZAY3QzhxoJZBfJrCPVaTuEFiWAyU8RwBKHdQlcVeaeVebyQr1C8l2xPyhRmF+KH9aLugYmLi0uahDZiU3CP+B6oMECCIhT5hYpeVFQnf5Ilvl3RDyGPC+InaPiGWRIFEiFaLTQLBDUmzgHdVn3YZrOJ6H9o+SKRCHShz6B+v2NsELKccwOj6Jxtk65F0a5B6pFgB6ObsOtHWNa6x3w9VnCRtQnjiKhmHqw1dJKcAkS1EVBYUxWul7HpiookdtoDOnpjYeVYqlO7ubPvnkGJH8vtVTbaBmTJQTJOq+Qf/YUiKq9IG6V5C9CluDQBhwaVLUlTflMx/n130rN391HVOMH/uhMU2oFz2RyI/sk3ej7bE2kTA5CsZdadN0ea6/fU3Za89bebIlfaX3y+23995r/XM+IIdf8DxNkhjLkd2Qd0ZsdTjyccf8YXzgR/90rfVSMEUwNf28xXZXkjs/CdLbQUbUarYUsydI3QMyC2z0/QrrzPPBksVllMvIpq9nzSfWhUjScJMe3lwvGXE43tqqw4N8kMOOcQXVsY4875UEp6Y6Ujs2xLCxxvjbUAgbskr4JWAf8iHOfqtb33LCRtULCzMfAP+CrYwZMu7zEWItQCOe4IkJ5yT7gvvsL9bkY61q5e5pOSBB+5PJCMmdc7LkuqM0O7hqLmzRQz2047hGba2PmVj8ltsuDYyzirW9hlKe+wOgyVhrrcnn50twjDLiRnmeQAYgUDEMS4oW/Akg2GAWCCiPACxRcRpbFvAEcEZBLzNPAdPkwaqNOrLfEHdOGrUqF4cHdquR9IRwnm0iEkaN1Y7nHesF8Vcp20Hi6UmVWbNtZIkDrOHlsomSv1fIWPhLDGE8xcttkoFVwWXUT7Wj1Wraq1ikOayJFbgHfIAz9BfO+64q8qmZyLMUXdCFFJuCFUkb2wKSz9C2IPHkArNOmCWp490ivFFmlyT3rr167RJ9UAtCSn1zRq7/LJveP+3CHcfdczR0uIK/7l9WAzh3Nvgm7nYTuxsplHeS7fCIsegY/BffvnlPiGYPCAGEECMnMRsC6EwyQj6xX2OQIzwfZAQgEwChxS+DYiI31yHc3pbsbCDiCFqAmEEsooX9Xg/GK5Z6BnkDHBC0RKcDGBjuma5MhcXa79reUmBlyB0OmRcHEl0yk7CCPQDRU/5ndBReasV+Ri9L6JeuJjgaskkqG9odo4oH/lyAuRNOSB0kKyANJDoIE1oadXmiYUl/hwbFNoF4gZjZAAJC+0D0UN9021paPvwm/Lxm/KC/EBWEGK0SRBPd3bFthCPPPqIE0S33nqbp823ECsgNdqTMrjbuyoEDqf9IXYoN/3F+wFC24M8toUqy9Olj3xhU0wUFQD1VKFUbCAyxPBdr7zc2/fUr1ttSiykoD7pLVyfCycu1TfUlXLT5kh1OCfyiC19+l9zH9quTZKYfBkqLWhb6aJ4pCJsyTKk/M9qsQwZBivWjP4KhLwLiqkZR5ZVidCZ37jWGgtW2fRB0y3jiAGujmDBWzhtoe2ev4vNfW6O3XznLS7uv/XeXyPWsLy1sX2eYne7IbQGp9tfRE2xzRk0DzKQUYNjNei4llJftIYsiqWE6iF/H5UEQEBmBEDMS4h6xi39SN8efqiMSUvKfVd1dgKnn5AQbQsgnzC+Q3rphA9zGm4eQHLCPMAQl8USAiIQS9ynvAGYD9TlrcB3Ptf4w2MVYuNGxX2BcGhqanBpEgzIHnvs5Pky5/RPc0p1lyEVC/nASSJGNR/zFZoDCds/pLJBCoG0BjxLWwbijXqCd4gDRnr0Rygj+Brcg/EyEiVwBWPgxRdf9HyOPfZYxwUQSHzLXmTgGcYEc4XyB8aHuRTwNXOL75YsWWITIHbg2oRf3IlD+emhp8l4BXKVFkAZMAfAlnHevHlOWJJPdnaNj2PWFso8fvR4zws7HAAVFmV68slnbJwkZairYCR32XkXl7ZTFgydYbQhWKlLLy7URAJP0ncQOkiVKCdb/Fz6rSttnZ6VDh7kUdfbhIsawL1Kb2th24zYrc1t+3vbvAUYzAD2IFDO6G4ZLCGuDoiDgcyZycUkYjdgEFaYECAMDiYJwAIaiB3eCe9B3T/88MMuWnzwwQd9MgAQMNwHGMzhWzhPvmHBBVEwaUBej0jES/l8srHBohaAF599ztbJq+Hpp58Wx/qkrZO15uPad6kZ1YDsDjJzFExM6T/17D9sfc0Gz8s9LVTXHiEsjOpACkwWVHIvzn3J4+vUahsJ8qUsjz72pK1Zu8a3i2DiAqi10DeDLJ7753PeBgEBwZlQT7jKZ555Tot5vMBkyfMrtBX1BUDEf/vb39yllLyQyoDcaDvEyyxgiKR5FrhT/1C1mvvSHH9OGTBeRTrFIkA/YLSHWJt7Dz74d33/tBCo4vqWbJzklBHxNUaUwciRlLcFoUMYed/fWjY7nTLCoQU48oT0C7rE7U6ZbCP238tq9hhrz1cp9H8kdSTxj4QQMQ/pUBdxsOykLz34cHCkFGE5Uztor6hQgLmxgy3aUxKdY2ZZRY685RJpEHV5tyCQJfRTfCR3oPt0hLvdIkQbutvtybmP2NKaBTZ1/5E2dvRA26uzzvZsWWdlHflWKonKhqxRtj413Nqbu62hpsPK6tfaHhpPB7V22oR1L9t4G2Mn7HSs/bNpDzvgU3fZabMOsE8e8UH78bU/tv/7izh/DOgliekQB91Vrrb2lhaxI0kl3MHoY/e2scfPsBn9q+yU8VPsqaZW+/uaWru4fomdvfQFK8p4SRKfV6wpc7215ay2hrzIGvNFuMrrrSy/1OpLRtv6vGH26Ljp9sKu+/sWFHf+7k5v/jzFmGFhzJPENd2Y/9/pGxa7dIB5CNIZYrDgfcT4BxjP7JTOfITIBocFZo05G/BOSA+c9gZI+i0W+cjmTxLiproaGzp4iK1eucpWr1rhdOgvbr7RHnrwIUk3BkqCANMlCYaCj67d0ILjp0uhCyTt2VAv9RuZiPH52CknSa2zwO79ywO21z77Wnn/IifAwAGBGQFfIIkBb4MHIXwAVD3UCfyNRAciARxFXbGnhLAAaAOkPuCHWyTJ5h3UX+w6j40R7UNbkB/13/uQg9RGkf1Re5mhjrPmBrv7hutsvcJwnH72R1WPbhs+uMpefuRxu/pnf9ALKfvLb+8Q0facXXjRxRrikdvSgLc++9nPOvHx6vxXXVKD6g2DdaR/qJb+onpnyaMSBoY4bnxHeX/z298o/z96eBEIIfAiTCnrEgQabUA/wiyj9gOXAhCKp512mhtUP6d1Y6BwIbjzatnxkM6/QuiQ3nbJjjfrexsY1BAJ2IIwkdDhgjAYVLNmzfLJwjvch8DAKAyODQIkqJr4LiCOMFGYNNxjgDM58Q5ArUIaEBVwG7iCgpSuuOIKFwPjKgkCY4FHZQMBhicAkwVvBSYCRARlwBJ/3Ogd/NkFF37eJ3uD9kyCY5u2515ur/K5iy70jTkLhVgWyAUSmxw8MD555unO2WSqfBA5cGWPiZjZUeJTkEhJ/0pHBDfceLMb/pEnhNexR38wdseXOohJdsW3vul7O9FWtAeRPOHQIB6J+YAUhwk2Zsw411MfdNAsl6wE6RJEz9KlS92TAyIQMSxEIEQlsT+YlBCC5EUeGNrhOolqCsReJLkvkgC4QfqINoSLmjJ5qiNzED39xw7r2HT0067TBE8bM2aEFh4Zkv7zKTd0HDFihOfLt1zTByCPfxeoZyD+NtGRwyEKSvSHN0z3whd8IQQJkzfjhsWgAwnCmwBpu6RAB4iuR4h+2phpli/E7MKqt2bO3yT1d/4R/AH8Rqfc7pdvWOeENQh+v/0mxRKXRkkviT0kY+Mwv1iU84vy5LarVbNJpCO+6Z3t1q7+++OjLG7P2rwFA73wz6wV1w15KaFFY52oP7pUp5xS2bUp7lNF2RAfr8de9RUfs43RBo8uPGZBHDG8ZwHcdtwOeHkRPkfrslzSY2Edwk6kFUhsgjQRpgibDY4nn7rJxyz26ad8+BSfc3jewd2H+vw7rRwIlDDGAmPFnMUDiDnJosh9cAc4AtwWVELMmUBMUP4g1QznXj3HFgrZqcW2RHgCnHLuuef6PEbqMGbMKOG3o31OslMKdUWNUlmZMBlaiCFI8iS9IAQSrNNYlQ2cQ3lCdHrKDj7jHmlRTzdsFo7CrpII1BdddJHjDeYRGyzT/kg7QtwgCCTqzdwCD+OSzZl+wTuN9sD1HmIkEIuhPdVosfPJ936lOh5m+9iLThTeddcqG4g5kbZ6gVCZLpsypE4H7rGHM6yXXfZTESuTNCbaHNcjbWWNwDgYIuSooz4tOzOUo+t9/F177WSvx89uiKUxxx1zutsxFZUWuoQLbzEIINoDwu48bUFSUV7h7UU7Um5+w4hfffXVzvixpnxIxC4EI0QPRKACrCnvoxQvTYbQyn1bo4fNkMcbR446cDu8wy2ghTrS4O/NJf2am0JykTigSEjW+RYNjkgTJlJAwUgLdOBlIk2K6Lvf/a6280lFIkYiTaBI9iHOZI8dNzy67fYblVq7Hy2ttb3X/L7/gT9Eo0YP8TO/n3r64Wj6zpMiiV0jDeBIRFUkwsbLSPnEoUTS20YiMCJJfiKJLiOp2CJNKH9HkzPS5Iha21dEjz1xTzR27LBozz2nRSsWdmmLpShq7nohOu2TM1Svj6q8UdQd9US33nFbtMv0D0fPPL1Bv2VlEDVF3W162KMEm+6Lzjl2QHTMF34aLSWDNUuixuefjL7z2PPRbH53vhTN/eP3o5zKGdGjc9SWrXOi2378mWjazBOiZ+bXRo1KY/G6mujBh/8crVq7KLrgvNOjU046MmqsrYsiZfGNb3xfdTg8WlXXHtETC+rqowad2zo2RF+77KJoxn67RKvWLIy6ulsjqaZUl92jr33t0kheXZGMm6Mzz/hkdMbp/xNtqG7y9Chzl+qpgkRdXQ3Rw7dfGR02tTR6XXfmc7vhhejBmy+NbPC+0enXPxhFjXOittfvi3Y6+Kjo7Euv0Mcro7WvPRpNnr5/9P0f/4ImixavrI+OPP5j0YVfutx/N3V6U77p/GW8bGEd8Nvd+r5LBe7UdvOc+c3B77auTj9qGuqjf855Ibr821dGRx37oejEU06Ojjvxw9GBhx4SzSmvjF7oXxG9XD4kejavNPp7v0HR7B0mRr/ceZofpx88Pfrq6UdGMz8yI9r7Q7tF1/7u+qgxYoyondvU9hqO3fXKUcOCo0eX7W09veVQMSKO3hvx8KVZ/ajXiYMx5BCeK42Io0eNpEMjyY91qiPH6uSoidZGHN6QHHQ6R5JBta5WaEQw5u6Y/VL0kUvKouv/ely0Xizx0i6LWtZrK8hokMonHlrhomSCFrXq3Nh8RLR85YzowQe+EP3xnnOjnSaXRKJ/Iu0n5of2RY1Q0Iod9aOofymuRfiyRbvvult0+IEHR888/mTU1tQcNWkstmgw0URLm2qiW++9Jzr585+Jdj7ywOhGzamrpoyJ7hs20o9FZaP8+Ef+gOi5okHRVYMrotunTogu+tC+0TmH7BIddfph0Td+eml0/5Jn1QbtkSSUkdQ5kexBIhlPRyLuqbzjEDFBfq1FuHde81sESqTFy59FjSqVjp7uzvhIdcgMQw2pccOR6tRsUvu3q/S1HQ1RiyYGx2//+mdFmvRNM6IhWQVe9zM/dUa0JFUbVUedvecuXXNE3epLP5RnXETPviv505YZ6lEGSgJccnQm+EOXlLu2viaqrlkfNbQ3+JeMNz8YKhxJ+XtSrbpmkKnuLTXCl7RFV7Tffh+Izj//s1H1eo06JU079QURC94+tB9tx28Rat62lAH8KcLOf/Me74R2Jy2uucezgF/5hjTSIeQd0hHjFXHwXUhPkpVIbuGRpDNeVtaa9PWGsoHjxcR6eUWEep5hDeKbUB7WAXA9Z74LwHPy4XsOrkP+nMPBN9SbtFknxDx5Em/2fXp93wyPgee2S3beooXe7cdQvMF6nWu45qDnhHtBYoHRF9IBDQrnKqGecU9EZwq1j0QBTgDuBCkLZyQPiENfnPu8q3EXLlzhXAX3xowe4xGKAYx5kWwgCcJtEjEpAKUPhY4IFWofDoXvkfSQF+oc4lKQN66LiCaxpYFrgAM94ogjXPQKBwLHQJ3gWIYOjYckYnLSvfj826Waecl23HmM653hBEaPliW+SZzMn3Y+dxC3AheI95PLEtQOJcrrqJIBSYB/83aEC4KTsR3aXX21++6n28Rx/a1DMt7BVeU2smqWVcsNFTuBr3/961YiLgvYQxwPHDNSnIxRo6yqrNSa5QLeLA6UdD760Y/bkEFDYrWM1GTE4EAC85nPXOCcHao+6ho4LqQWKrIDHBt9CUe3aGWXTRgmNl7thjSoXEaOp556oJTpr1u+8tWi45IsPqaMfIMEDbuRATKYhPtBndXQ+Hnn4DAWfCeBMUc+jAe4V7gwpFT0BVIA+hUuHPE2Y5O9mXhWXx9H1a2cONr7/7jDDvCxRJvTVpeceYFzwrButE+RtkJAZ9ShPaIKCqQuU6WQbJUlnnrvZB3fLG3E+Ij6KU/wZvQo4yiXtOspcyEl+6VMTacsSXc6JCZgM9ql8qa67rp/2DU/ehKzCVNUBY0TqQiTcYG2ykFtCowcOdJ3Ej9g733dFqhLIQrKZVeB6goRWGusTLHy4nJ/LyWDcqQFxX+5z+d7idS1SD5S2kOO3/QNZasq63FOHa4eO40Jkjog5RgwZEfPF3UDXDmSBiSbuBGDB5A60J/BHo9+Zu4xHhnLjHPSJWwnQF9uThIU7q+vXe9jJ0vj477777OTjvmQZapBsmtaJHxos4+f+TGXHBRlxJKV4oxiDQeki8kk8lzeBmAHlwD552v7Dx+vkkpuDRD9F4NdqLEHH3rQpeDgwspKRWVXX2drl3rmR3rduQ7ST56Fg7YI7RHu8V64DuXhN+1LOkjZw2/OAGlQBw5vU73L3CQtIB0P8Q3jgGdIodM3Ng42QPQjeJt1hRhEvA8gaQt9TZphrvMs5BXyC7iB3+n1CfjQE0yAe0G7wK1QfuoC9G2P3g/f4mLrevQtEtn++J1rgTCwyIGFmgHOYA6D6ZJLLnGRHwOAwYAqgQURAzlc/QAWC5AV4kSQEcACzP3ETEfpMqhyROiM8+dAiD0zfNgI6e7vc4LntdfmO8HBIgcRc9GFlziSRzWDHhf1FWWGQEINRJkZ6EwUiDLKQRkgeJiMjQpfn5InSFd7kY0Zuatv8twlsX5na6XtNu1oyy36X/v747dpEn7TZj+zyvb9wI5yM9dE02LAdhBApwiV3CwizuYrPD52DAJwmDwRfvPwQ24HM/HVO31R1bKh/LXyFPTYs/98zc45YUcZMMsgj8AwgjXr1rjxH+XD2Pvan97qC8Ga6maf8KjCdpk+wb1w8Aao1r5CuKUPGTxMBnWys1H8FNqNd1n06mQPMGBARa8tUHBTxg0+XsfUb0LwnXh2qeStjQ1a35Evy+AyX2nJeLUE3FIvc1MtLv37lSSLaqbCq6+xl158wc4+83TpvlGJFcl2Z7aLvPv3ixGSV+odBPqaBY94RZMmxu7iEFyo3zDuPOuscV73nJrY7bYyS/GTQP5llbFLc2WFTZ01y3YZuo9VyPB0efXl9p1rbrDC2nw7/8LzNShFTJWIoMiVYa0W7NaOVhFO8mxRWxX0y0viAUMHJYj+DXLt+H57sqbJ3tIhxF+BUAEUCDY+yxjewQ0xRIQUJIFpwpram35sv5XSSACJymxf9hyLpWHqsvJBFfpfgTZFkLeWDLUNLRtsYJa2JtHS36E9rgrzKhQhOsN+/lN9qLW7muCLKlcNeqawLTzDUWU47MgjfPE88pDDbNL4SdYkgqJEsaYYC70AES0DtXaNuywZgw6rGGwHzNjPRg/bwb49rsX7ot/Sap9vg9ZJfaY+K8+LjWUbtKgzTstHjbfBIlj3nDzDRgwZo2LlxF51opUhmlAtSCrsBDzzCdsS7GkgmoKaO90dmAUKojaF37xgrdqNLgj7oPcnKpwgJfuf1evX2sCcEm31UmILHnrGLj78VBFhlVZbU6v+TYmgLbPTT/qETRozWV44BBPV+FG/EUUXY3mHpF+CmDLpPj3YAjG0kcaJv9f/4NagboqwJdwK8ECLGpeEjQAvnnXWWa6mAnJF3PaIOKfdSTsQPD7+0wiecJ9zWPzDPXB6uA7FCd9uiYBMfy9cpxM46dViHWF8YRMU48eNXrZBFci6gdodYjidOKFs1C0QWVvKg/z+FQIlvOvMTgL/yvfp9dukrlt6sP3+f0cLMIDQmUJRM7icW0ooXGxNsOcIlDADD0LnFhmuccaoFWARZMFGB8oA5hqOAMocLrlNSmfGFWkD7BOFFT5W9GHfEgYbsRMgACBcmCT8TvXEhoFMQAgspC+kHYzsoNDRT2NLAtcO8RM4CWw0Cotj74LgqUD+EGElpcX+HhMRo9vBlY942l/92iVeViQ/YaHySaGD8kPExWSL2d/k6n359Xfb12Xn8+nBhzohNvuWFU4sdDW1Sxoxyu15+scbTMsWQYh94GBvF7hWoppOHB/bCLR2xsisZGCyGzVCByFM6sNijuQKaVgIo0/7IHULiI0+ot9AgOqmTYC2hiuO9dlxXA7iYVCG4uJmpaHXWdwSypT2TYmDpF9DuxYU5DuBtvvuu6rdsmx9taJHi5oq7bfRFXfTXLfdL+rFmGEMDNdeSRwLFi5wmyXaZ5B08lnVsavqoLxyr9eAsRPdBqJq8jQr1x+biE4bNM3u/PWddu5nz3W7CRaPQ448wAbqe9AeY6lEC2KntqbIzER2snULEjXle9a3cN5WtUe6SDn4gxOmDRi3RFIm1jBjNDAmSCLi69hOScI7jRcRzTrLM1j2ExoYGryfueg822+Xfd1+6wBJUWAquOvvAAAgAElEQVQkquQNBZA2RISPGfU34z1XCWGsT/s0dzT7HC8tKLWpE6fahROH2sudL1vGS4vdpqvukWed4RihcQ6RstfO01wCPHLablaZWwm74PnQTpSVMelzSn3M/B05cqQb4hNJGAkji2DwPmQe8A3zhzlMP3f0iqhIc2Prh4Wss7vTBlXJwybZYJYxQ4To3Ox4M9/C3EKPTYWHlPQZ7u1DXdu0xUwIF+EFfruQ4I4oIb7oPw6COPKXFYieQBzpWQwbqSX6o7Ag13bdZVcde/rjTnlr5UrqzPwPEptAnJB+IBD6FntzhE3fd8Lvvu+m3w9ECWNic/mxVlAe3gPHIg0MgEQZ3BzWGaT54Tl968yLxgMH6QN96xPS59mb5Z/+XXp9wvjYmvL3FvwtLrZLdt6igf4bHgdChwEEomKQoSZCZcREAxmBlCBwiLGDayYGu4HrCqLGYKnPYgmi4zsIHQAJZxi46RR1mDSolODqUF3BxQBLli4R0VHoixbfkD6qHhAdi3CIg/HBD37QQ51DtIG4yQfCBNfKadOqRHw1yvhSiqlGIZAMIesCSQFSlc4xH3bk7iKw7refX3unDRow0SZOGeZMd7zI8L6YYrjHxhx5RgjZ1mvXaAqnNJ+T1KOqtMw+oQWzqnuplSxbY61Nz0vqkaPtDBQFtl+V/ePJx5TWp+TeHu+8vnD5y95uLdotes3qdXbMURMk0nZ/JFenTR881SP1E+MNGDtmvE3dcZqL9z99zqc9MBuRnvGQAkGw0NM2qCA5tyV7KAnH9IITlIX9rFUSrcb1ItiqtOJp1+E6xUjpluQrhy5C5CXpT4cWVCQpLTL+mDR1ujVe/4AI1nxJ7UZqIdpBgRM7bfmKtTZ6VOy9sTGXd+aKekF04V5NvRXi11Vn1BvkdcDow92QvTKj0Ins/myBqcoXl8XG09oFzJURDfVNavccK5M67qpPfNluW3W1Xf2ZyyRZqbMzTj1DfS4XXu3QXK4UsrWzpbaylXRP0cOT3bkxPAN6ksUp/C5KBDMY5AKiWeP34pNyj28UsOgBSaBGk2E6EPsA6iLQVb0YM0HyKheEDgtjUYnOecVWK+lNefkglVmyuraFNkQLIY5l1CG/RIFK1AYTJrabvGntpps9zpsV7GAy8hxneYN3tJbu122dgt6UrHxIu48faQUlxdbYHodPyJFhvXshqrilIgazGUjCC0g7ChFbdWvTSY0bzFzy1TbjOrWVRGpnG7jL3k5Q3/W6xpBwxklSCw0eMFibgaoN9SffTK9vEbu00xYqU47aMn+giEstcOAd8AbbFIALLr30UveSgcBj40YAYgoJAfgGhgJiZ1lW3I4jEgI/LyFqmhMJm6KlyABbxKu8La+59mq76WG56hcpdsyG9TZWgQ+PueJiO/uCC6xM22Q0NylCe45EYSpbYUpEWZv6PNHSdvf2a5xRIEXeSBAnBfESCySVYV5ixB0zJqGDUQVtlA/F5J/el/egQxIBvEX1L1KMMBwZwM+5kpSRHoROh5wt4gjpNGmsokrHrWFx39w9suB++jvhPe6F++QZ3vVi9SGk+r7nLyfAM9Kk3kGixT2YjEDo8GogSCBy6Nsg8eEZc5k0Qjm4F/IMZ+6lP+d3eC+0S/idfk6/3tL3Ia2tOW8ndramld7Fd5yLE4dOZweJA7EXkLBgpwPwDI4P2w30+QBICYKGb0E8EEAMrKCHZUEnvQD9pB6BU2Mfkx2nxPp6uHW+yZKNwcyZM52QwRIeux4mA9KMo4863vW8LHi8g60KZcGqnnJB0KDfp2x4Yy1dutS5P6Qe2A1Nk6qKcpIeC2SHvFKYXBRN88rT9L2D7nnev2cCob1qltqm2AMRqgZgNhFQiNHbVV+Z0rgkBHHyj+b9xs7/4uW2T/scrzv5I83JOGCq2zOdfNFNdsRRH7NZM3dxgqS8KOXcKjZPqAjXrK73NmwQ1035xk6drHzZ+DJBMuIwCW9OGc87/zwReOPdDXzevFfd+wCCkkWGM1IOFvzCQuJVIMHSPlLi6mkPVE+kz346eMF89dCh3ib0P20RNddYhr6n3+C8SlRX3oOQoK8PPvhAFzO/MOd5944YPnyoE0UDKmO1ZW9Hb+OLwN2xAAeJHfExAiKlvpX5lfLZUnTovEKdJZ1Mxl2r2q5GlGP/klKrLJNdkwjMguYMGzl5lLvR4nZLRGHG9ACFs8/pjXMkzpLNt/4F0DBWmTYOl4S0+RdS2PyrEDQAZ7zgFi0pdK+5kcNkW6Q/GF+RITqLI1amudnaW6gD99sRmhMz7eRT5KmTX2bz1j7j0tulrXVWohhPXc1dmiOKXjte0kD9ZSmmEgRlhrY3gDjOULvlIxoSdGuMoPpFOpqrdsko0Aaa2s2zWyrAfgoeB0C0MT+YA8w3lzjoD0KHs0dsVjr52n3dF3226lATs8DRh6g4wBfgg7BNA96S9A+qc8YgTA8AM8NYhunJkJQxluj4o5iQ2njyPuH7exR64XLZ5JTI/b1J4xZA4oTXTrGkOxLoWDHhFtCGIgYjarW7mQWyxj/514G66iuktD5mkxRoa2fq+tBGfTMIUjuYt8AY0r5lYrKyEzU736Qv/PxOJ1zCgp9OJAQCIhAT4f2+33o/MrjTALwb0kqXnKTnGV5PZ3Dpa3Ad8zhAOpHB2IGATQfy4eA90o8Jxo3EWHg31JHf4Zv0dNLrkN5W4fqtvt+kUFv4kcZfbuENs8v05BtbenqZYEvPtt//91sgDB4QDgQFwKKPmB9gMICE4KjQF6NaAgi6xeANqikCOhGaPgxe0gXJvDDnOUmFGoUEJRFYvkriy3Lbe599NFEl/dACxrlD6bPInnzSKbZYqqTW1jb/9sQTP2IHzDzQDduYJB5WXu9iaAwBANJHusM9jBqZKLhn85sYDJQX7JWpfPoV7aB4DQda/4piIRl2khYHJQSUo8ix9973gCQaZfbNy7+i/WYw7tOeOT0yUIbBFUcFwsxg0qfybdT0/W3ahB20zLTZsInjrd/A8daiDUEHZXXYwYcdZbOO/rDC9e9ilXLdHTRirM2cdYwtWbRA6chwU8bYnznnLCdMxo4dp31yRslGaYn2rCrV/jmD3MC6n74DMW6QQWWZohoXiCOdPGmKTVG7v/LKq36g4776x9fErpKqBItIruJ0TJ48SVFMxwmZhIVadcyUzltSHNR2ObkF9srKeqvQ9V7jh0pSoKCHo6fbAbuP127TwroK1d8lCcmIHYbZbtpNOVsL24GHHmZ1tZL0tDTKTmqFzVDfnfjhY7yPykVAgMi/iY/rluEyPdri86+lzW9HUsni4kJ+ITekOBDFqBXDVhwQQDmyZ8KGa7eCUbbvrjMsR8F28molokqpb5tUZxEueT25CrAn40gVoF4RCLvV/kX9C0yBlK0xUwtwWZ69uuo1GYzX2ugRIyWR045cWvTkbWO5MiTNkbQrq10yvi4ZR0pkk90l+yftr8WRK4KXw2kRNR38uOgE30AQN2oEQCA/Dp4ptqUfXTkK5iij0g7Fn1HgYicSZOatXcrjuadXfVwqU/9aNfcbkk2ICC6yF19+RHOjx0ZNqlA8mnE2rGmeXpMdWaukJCpza1QhYqPLSjNklC5Doezmx1SAl60qf4MVZ62RmLJYdau3O59QG7R224n7XqitDMqsXQtNvmy7UKuwABJygU1rfTH0hYa6sUBrCxbeYf1Tm/ZryrGCDWJYJJHIaci0Rc+9oL2wCm3mYYeqTtlWm4lkKlcyJyqr9EsUT6ZYhrrQSKpyc2uz29iBN2CGIHrCwkaYCQhvCB4kPzPFmHBmfoMPnLAn8KXGSonc07LFMHQVyY5FUpH56uM6tWOJ7IwGFJXZ4YcdpGjo2ttvCO2pDSNlg3TO1y+y0Xt/QPuMiehTR0YKJperyOoabHEH9igBJEQ6qcudLgnkiiLbqHeISx4vcfQxsJGc4W0GQvx9Rq9EMH4PyaATPHru+CVZ1Huv1WpSRglHYloQ79QeSzxiuxvvo5BpyDtJw8uha+ZP+mLOdV/iJDzfmP+mhMSW7pNHID6S7DdLZIT0KS+EGwRNuuQmEECkwbzm/aBdCOmGvN6q/LwXypv+bbiffi+UK9zr2w59v+e30Nw3Nnc/uXfZmzzrfbQp2djnCzXodniHW0CLZW8Ojz32WCRvCfok0sSIRIVH4qIiERH+jhBRdPHFF0cijPwdcXuRBnGkGDnuFhggXB9x5KFRbp5WFs09zpd941K9InfpDtx/Y3/fjk7cSLuitna5TeuMm2VrG26BsXuhBn9vuuTPEe5xTi8/L/IcEOen/9fpWO9JeTa6aGyo8efikOQC+kp0yFFTopNP+qJcjvVOr3dpeyQOWW/JpbQHn2S5BzcviXCY52hd8bKSqolW6lqp63p9lKqev9HzuHaJClIXNahpKUWDykltUnIpbu+qV9k8FXcfbWpodtdlvCl5p0PXfNOU6lRb0Kadao+GqKMzbrMNNSqLytXW1rKJC6Zuenq4snbHmfW2c6phqR5s8Nbw2retUkZrouW61BM9Uy10rGmRy6n/Vr46WlV+PG3rm+SeqjNHQ3OHn7U5qp/fYpK/6XO+fzPX81YZJwSX9IaWZs+vXZXj/JFTT4l+c9VNsZd2je5sUKVporXqSIaMVjROG9o65E4cu4jXdvREq+qboza91626nffNz0W5QwujL195SbSmaZW8i/lC7b1+A37/SkMDgoOhmX6QDwfDlIPPdOA5zRE80OW0jOOyDrnX65DTrx/N8jPnaNfo4XA3ZY7wQcTYq5Nbe6v6qylaovNyvf/Jnx0cHfeN6dEDtftHL0UnqTPlel5tUXtNjvq+KmpPTY5qm0eqUadGUcsEVVprEjsgpHI1cOWu3j0lWp6aGh36w6HRR26aEq3UuFqrUAa4Y1OF6oa6ZNbph6ClQZVjOulIyfUat2IxOOFWPPiXqeAUVwPrui9fGf3os5dq/MkFXO7gNUp3rWq4SDksUQ40lQeHYHxS1wSYi4DU5Zu4mWtxdHwjry25XJ8fSZLrZZA02V2ha5V2DSWnz9coLINci8EHL6itZuvZ2qa66LiPnRxllEnvViA8pH1PbVBGdONtN0Rtcu2ep3fmqm0p03K51fesVTnovHpVmImQ9EvSvXrU40foKKqRTDVvk94PUrrLQegBzvompb03OjV2O+QS364Jz903QhgIG881NYze+Ddu2QHAc7RBwHd90wr3OYuoeIPrePh2c98HPLu579Lzob15py9wj2dAuiu6CFS/R97gZ8YSEONqv3Tcnv4917zHNwEoX8i7bxuEdkkvF++EdEKd0tslvQ029z35vhWeg6naDu9yCyB9gXINItFQHHW6X0JpIx3AqwLXcdQTAFwAB8H+UIMAUOaom/gGtQzfoa6B6+IeY4J7wagQtXSnXCThWLIyZfQr9rZRgdCQwpA/ZcrNicWa+VJDAHgcpUO62DNQ4OFe+rPwTXgH7q9TOvzcnDyrlxdSmdy55a9ruRkYY650m9zHHq+1VUuy7OzL94bxdE69VZHNUzk18ryiHDLAg4PqkbpG6oBYsK/LIdhGaD+tkKl8fzPKC8XnxXLp7FLZtGh6JM4iHiEVHb1MH1wVkBLehedHDZErzxXOaF8Iwga3V9OwXjuwy2Uel2hBgbZOiCFTwbEG+GVc977snVJNk6fmSZoDZJTEhsm9LZsXi4t7y68It0C5ttGIP0j6JBES9StO7uthCRvUCArTtseIP3p7/zuPywBJA6JQZ0r6hnSB512K4IsaBekOY4wz/ftqvw5bh6pOqhXfl0wB6XKKFAZBjc82B849a6OobHnkeZmVTXGhPNEUlIa+vvrSH1m/thK76aqbrHpRvQfOLC2TAXCe2l191ihVIOoCDV2lpD7SkfDsscRGHlGUJzMjX7/jP6F/K2zHTkF9EzS5iYFqD7H/BY3JOKnaOIL8vmfikIjz5RGUn7RNuwp8wpHne1j8X970T/vS50+2tvJ/WHNPsyQAG/RprVpAXoj6ukWCoSL1ZVNrrpUMKbU1nYMsR8F1mttOtfu1K3VF40k2Y+oMjfG435FRYO7MvHSpWlKQQtnRqIJeIvqoMHnfw4cL1gyghbFMwg08x1YUSjVdoJ3ae7RNg8a1zOuZBpo38TiVT5cLw5rVt3yJVxaAtJN2RLrMWQuO36fPv6Kglqjgfvazn7nUWcSPGzCDp/qTmtSv7blNPh/WSTqwqnm1Pb1kgYdOWHzjH+x57Sc1RaiOxWiDnNz2kbfj662v2Xd+9W2bNvMwmzZsmm+K2iMPygx5ZtEWGfJc65IXpGIZeDkAukYkY/wjLl4sugsv+Dl5kNjcdEqyhIF3u7z8kFxc+a3vu3nAxB138rFWViScyPgRno3Pb1wyI6Ifqf1cfaX9s0IeDIsgMcKLEwkZ+BTbRSKj019IyOlTJCuo/QK+DLh3k6Kn/QjzMajOtvQeddoc8F34FvV6gKA9oL7M3wDp16GM4fvNlYHybSlvnr0Bn/QVgyUZbyntvt9vro59772x5/q+sf33O9oCEDphUIBAEAEHkSIDjudhomHci60LxApAhxP/JcS+4Z7HmRGRElRLvMskY6KGfMLAZXIFwgkc0SY3avIOA74v8fVONASEDlAWXKJ0HeZYfWu9q4Sw3RgxaoS2fpCLc0EZuFOGm0UKf/7/2DsPALvKMv2/M3Nn5k4vmZKeSSEJIQnFkBAgEKqiArqoCCqiICoqrG1XV1ejf127iJVdV42uiIVVFKUsgiBFOkKoCaSROplM7/X//N5zvmEyJJmESUDC+SY3995zT33P+d7v+Z63yWlSZQVG29Db0P9hIOvokhO4Shhgs5c49MK/ITqvrm4N4sphAtBROiyZDJIuFOTP88hztjtFtLvfdnYfm5valOX6c26mJdwZZ1ii5CZPmeQAlD4zoMKL8RDn79zPkKamQFFbFNFsUZQSLU8OrtlCRviD8czvCOF2dga7X8b16oKtHRCn/U6bNM0d0+9Zcb/97Kqf2SfOkR9SlqIatdoGOdCXCaOOKeCZVSbx2i6rrFIaBuV1yh0zRfCp2K5RJvQbb7zJDjr4DXbmKcdrPcxl/7gNnw8mTvi5MQgCFAhGIO3Ab3/7W1mkBDYFenK4ZnXse5+61/NAPbT9Wbvr1lst+5HVgzeBe1as7sTgu1rpH9BjKzbU2bol6+zEOQutuizKKk2F7Cx5JBcUUxdsdA2gU08+q8oq+83Vv3GTHL5IRx+3RBNH/OWi2m0chWeXiEcildDJmHO45pCpHECIGgHAAG6ISGV7npFQ/RwnboAODTMfQAeQxH54sU8AJLoXHY6zcNL2jQQSTb1v5PiC9zIU7NApAmpGiQ9F14R7okBYBiBByeD3QskFGBtAC0qHFOKhlgwnNXWqfCYUWhgADuAngKnAGNFB44mad+idoekXfIEjbIivkB8zUzMsKcPONvk2OH5ps9y8XoXQjpGTLUkENeXLbJO5XlwHwKxHxTsVofHcsBaBnsG5SDxTSIcZXsz5pJS5I2rRzFxRzNG1p6J0+ZbR5TNecQ1eEDRbNnkUFrlwGCD7NZuUe6w+K7BYOTQUqjXCFe7+Z5KR0TKItlIbPP/4+yCUEzNBGySFVJ7gH6EF8LIrEFMif4YS/C0kNZgdHHVTyiWTLR+SPiVLyvJZsRp0Ai08iPHXYqJvGsze/56LFBRdaOd//GLbLn+ky352hTMPfe4EqkmChj2cbBWzJVYu8tTgeE39zVZE9fTcSH6tWqNfLEEqU8nYtGVuQEXxqJlW+mLAy1jVi4paLOeAigJR1x99yI+3z5UfEf7CORlT7PgFp1vd9lp74P4H7P1lR7rD+JtS99pAWb3Y1hs0gdE5Zo+3nsoeu9vOtp4xPaqFPt9uufUWe/APm23R8R+xD7/mXH9i0/ilqCFf7yd6DW1BfGFZTFgMrqLYLOez5Fmil3xn4qih4nZ1DLFvclFy1JdH1BTAzV2QBFpToUjw7p8z9AnghMEc1pnAhP9WSRlCyIna+tdff80qqip0V3rthrt/Z7U/uE4lMlrsEAHQhhW19oTyJxHBV1zrb/ap3mIb+1ir3dp0r+u6u8ZusC1PrLN7jn7GazC1Tz3EMguzrEHMVbfuc5xVS9FZftqWEZ6jcJ92kNbQL9GN69dksrwyAhRR6oc5PnlEFIVKaZ2S3FrbmiSqDAcm+CXSZOnSpAc9IV2k6LtMyS/ydYnYt+LiArGees6UR4jrAPwgI4I50Pnob6Lb0Nsh9xnLATo0xgJ+T9q+k0ACdvadLF/QngKFyCxm6IDBg0/nAfSQL4dq2aB92BgaCb2oOwXzQWNWwfYUxKRzwc7QeTFv4UgIq0MHGjpTYT0yGZMAsLZWjgXq4CtWrPB8NpMnT/b97GoQe0EXu5ON8uXUGbVomAfoyCJi0hGWJ9MN58T41y9lQoQD4ASlBtDpFBVfoGSCo2mDLK/Agxc3HBJuyvWTFydHQIckgLQCzVAbGpqUt3/XuTJGcz4v9215XgK7s6tnB5BCi36PB+8whg8bzN3MBC2ibd7x7nOtUdVBMZWc987zvE7a5CnTNPA12JqNUZRd7bZNbsolfIf7V6VIQmbYk5SQrzy/XGCyWANYpPa6ZYLLDUnko0Pstfhh/nhGcTrnnUsbP2a8ZyFm8vGfD/2nO+pvn/Gw8jpNtGNk4VSAksKtMa0pMWTrBs8jdf+GB71vHnnkCd63q2WSrWtqUQRS9HzvSpYjnXCQ9dD1BvflstZJB5k7WojW3NvjwWZwvWyHrsKsBQO3SWHjZD7eriAIcoLN2Njo9+Wxp5+wjbUyx2OxFu4Ais4aV2lT+sY6u4GegzFBr22WY/TGvypFhIR9/JvG2NjSsVYgszSmLblfjySC3f4OWMuTEvjW5d/y1BqbNm13vfuqRcfYBz/wHrvn3ns8rcRDDz7i13bppR9WBOmh0qcEhvR71m+YrO6edo+OvPTSD/nzt/7ZNV5E9aEHH/WkjAQ30ND36HFShMDy4PANK0bkWTBdcRw+78oMtNsLSn7cpQQSsLNL0by4PwBqgtkIpReAxpVXXumgho4BpUnnJwKC0NypU6e6SQvWBkUAhYzSYV8AHZZTcJMOFgYgZgtBkXGcj6gA5x/+8Eftf5tfMBT6G994lsJIJ78oDE+vAAsRDdanpGzKJKs6b6SYUX3E3CiBXF9T5EPTTzV1QI8HmRCMq/ODVYmoGx9o1DJi34+gtLPCTI/oLm9R5lsbiJgddDuztOyYAspWxMd2ZT3OkU8Ioe2d8mfCt4PQ3j6dAARBUSGhxDovN6GNNIUcpJbi4w9/i7YncwwtKzbAaM7t35lZ0sL34HNEtmVaWH/k8/DV93kLzxLv/Lk3yRDAUiCwkpYfWDcRQnp16znFh6RX6/QISKZirircpjgtjoaxqI0TEZdRKPOBqtcD4C+46Hzryeq0r35zmX336wL9Jy1xur9b/myb5QuRvXGL5WqiUKb8A/SJLJVPqJN5YP2MiVExw5OW2kGTVbxRfFOPIqry44RJnJU3niM9TCIeohZTaQPxAipIe+uP7o9HPWndIj0/REVt1yCVJ+eyeUpiOeHkI62l4FMOZv742y/ZXRrY7pm4xmf1dQ0yweg829MHq++pCnbZODt16VJ7zQJFCqbL/TTGlChhYJz3h+cbuTqeit85jeHMzvDv+MzA7HTph2xt16pnGf3QWqhUAaoISkpE7lnE+ygPFP4w+hNc9PdxHGQ3DR2DDgqROpjRYUBgebi+C/70BWu78ju2eEOWjd/WaEeKuSV1RkvHNt93t7KXc22L9fmw/LRNW7NJJUHabEaLzmhdm03YFoHn+1oVydV0k/2fQAZ5u1KVs7zn479Dy1Qknt/COKqq233udtYr4vsXb5eHD5zM0XPnHqL0HEsULfqYgOpJNvPg+QJZjTK5/dnD6BcuWuD3cdmyz7s/0qyZB0nf3uTpKch3Botzs8rGPLLi7x6B+sMf/qenuHjzm97uIA8gBThHTmwDmFO9QE9Tcf/990elPeL8Z+ho1gs5rPxCkjZqCSRgZ9QiHN0OUDwohaFmpqHOYI8//ribrwA5KHUauW6OVohxUDQByFA9nNBuGp2FvB9QvwAnWlgvvAOuoFCZSdH4jv0YW/KLNavw2QxgR83pXYUsE1KeEzseIh9aADNcCp/bupXMLmdIOLCvtffNgQ4JwBQ+zbkUyGN5TBkhIVHXCLLLk1NnXZ18BVJK+i/ZQk8n7fkS8IEYsAD4iV+sNRQARaAoGkwD8xBDjQA5nntHzMJ7JSqRAIsC0XPhBRdaWWWuO5DmdDQ5I1IscwD3r2qIzxvH5NlmcrCmcYvnhSqUDwkpGOYceoyV5kS+bH4VEYp4/gXtwRIy+yoYR6YM1SBS2oTQSnJL7PVLM+VXd5Q1rH2/0hg8aQ1rHo76cVaN9+k8PWtnnHGGVU2Z5YxClXzRdmi6BlqQzx6czo6b72TLofci2jd7DyAg2jzcl5GOB6AkjxdMDv03DNT023POOcfumVJvf/nLX2SuiRzW16xZaZsEdGjkSKYv45YyNaPY+1WPEkcqdzvOVdbQoXrvsQ8L/dAZHtVdA0wcXDnTQdyom/zyOjXLOvmkk52lefzxtXb22WfLaRlW3bzEDddYWjLGTlNl8KMXL/XnqbpqvKf/YBmpNnLT1MN7u22r22yKmPXXj370I+Use5UnUsU0hj8Qn/9Xmd3xPSNHFveeawz3BHYMMEwfCr6To77GZAcugQTsvMQPgg/weFoOa8yWYHX+67/+a/AX7Ln46TBLwGGTBuCBNoW9gdUJ++I7nQWwExqdiuXBRIYCYZvg8OzRNLHDIdsEv6HBHeyHD2nlW1m7bpWNKzvcSooEejw5ihiLnvHWpuzO+YXrNNb1WNP22VKkDHbNzrioEIKyCLdZcRxxFPiTLM3SaLGrg2oGRScdJExUCi2odqI6/HAAACAASURBVIAOLReToQYtGpl56+Q0SukIzFwrV66xWQdNlc1dNZnkiOo+Iori8O3iaCz/skdtONMTA9GwLdnT1AaC4zN+QXwn3MhbDP6ep+h3vt94o/32Nnzg5EA7LkPFaFiSjwtAVdWH/Fy4mgzl2cFFxlt8Q2R18hbzb1ar/EJZirzBBZkSDCn54MBaTtY9eq3yKI1b86yDnCM21Puze/jGFn8v1qCJ5Hqr5uj5lrlhnI6/tc5u6rzDHnx8jW06q9tn1q2pyF+jtCjidnKdz4gYKs5D7s1+PuJC/D3K98w1xqBErFWG6MMMosekTvNi4N7hqjXLFhBMoGtaN2e+LZgz07bYWyUB5aRSnBJ3vqZZF65oNOvdqDotpAbWhEb9dJ18eopSOgbJf2jhLcYlMQYadHWKVnr+/9ndOooE3ytGKkthhF2aSTCQtmep4KXOMRiBc0GRasHHrTTgiD1wSQPo0GAiAJ4h3xb65NR6RUHW5tgJazoVXLHZftz0jN/bVbH4PiE295CuMfb2Vvlw1TWogKl8qtRpO3uVBVrX+vot+GNtt6a4367dVmubHn/MCg+bZxMKJkgscb/g8Uc28Vcyc9OiohP+cafNo7FwxlPjOcJnEr1XV9cqAFeoyMoxdtUvrxLQqvX1uL7g60i5Hur/0drbVRdPzJSbsMToIGPcD27/670+iUTXMlllcnniiSd66R6eYxKfkhuN34cCu2AW3OlJJwtfkAT2ATR+QcdNNoolAFgJLAqdLTAZ2IkJGQ8e+XQMOgOMDqYpOkcANnRQws2XL1/ue0XJwNCEThQiroLjMccLswf2E5zuOEYwoYX3/X2jnnzqCfvMZz4ju/eNfqh+DVSduk7pB4G1CIuf8/ZzRB9/VUomurZeAQAy1hYQfjzaprEGfNSN7V5AsK6+zmlmqGqO8/vfX2cf/OAHZd671Y8UWDAG9Ny4MvxoT+FA2H5noGdfXJfcO30Mw/mY0Gme2xtvvNEjfTCZANR5VnnRd3jG6Q9UxVbcng8oDByYDdx8I9YSphQWlP2MukFN8LDquEpGIgARgU6eXOUyZsYAZYnRVfA8+sNsRO1P975TyLsSyvg6Gm0FeASOpBMAOtIGoz69sINwf4a/Dx4gBlP+fejnPTgD7glyZiBHl/CZewCTtXbtWr83AID71/7dGnTRAchC4EzSPcWnRelPtVxRkJrRUFBXVVOsuAIpCqDhUC4Zw4Sh16hx98wzz+iXvTzRnVwLujBTvnoEIwT9yDMC0NmwYbu9/R1v90knfo0wVDU1Ne5szHOHvw3rYuYG6LS1qebY5Cl+rQA/zHUEi2CmAuAQOYv+IDs7rCQsvGdL//d/HwQ6PNMAJRge5Ji0fSeBhNnZd7J8QXtCAdPh3JyjDs07jUrmodFxaKRkJ9qKRkeg84c8DSgaPtNQaDA/lDCgBW//YB7j99CxoZ3pdLzTgWF9MJ1BzwKEgh+R72hnrXuzK/utrZUqOqmZoWbRrbBFlcyUM6y8TXRMq3L7VEeMRe6AjPQox1QU1VDVq2rRDz5lmac2aNYpPZ/VJgfOblvbV2xgncqOAlswYZFtUPrbTgCQFF+vqpm3ya8BGpuZW8SORTkqWpSdF7lAELA8Lp3kRQSjdOcT/SpalayH9Uz+Ac3bt1rnuGk+KazI77T2h262u6reYk9n5tmklgct66nrbGvZj2ytdGtNrrRwT4P1pit9zj+ye/Tw+cSO34O6HuyIcRTW4HedA+25jhp9Gv7dV9oPLSZadrPn6ApwZSFVDWO/8onpGdR3vfcQHgOjo+ccX51cOQU/90zx245HCNcVZuRklJK3lBX06P7qBv3x0dvsd3+52t7xkEp+6CCvfyIyiZDHhVaumlK0pij4Sv6v7SZfVjv42To3NR1cW+Yz8+8wmD272h6feJAtnLvQCnvjEiXKzq3R2RoKI6ojO86cnCmgMrQFZrA/VCnnSVCupeAjVhxzLr1Qg3qN7Y1OKMqmxJMW9fM+5R+K2qTndq+dl8RsL5FlOz1wfALDo7N2XFnfVC8LMJIbM4Ol8m0hL0y5dkvpiQB+gp/28O3DdYaz5PehwJZeXa8cWUVl5baxSf46Mvf0FKVtc3+7beiRG/bKWhvbkmXXD3TaKq2raiDWo50eJZU2VsDn9GLdr62PkmSahM3y5dFCQFCHvI10a9cUPeuTnMOeifr3ocWTrUK+NPfefoctmb/ICttiB2WiuvQ8rM+KoNRkr6yqlo5qsEVf+D+mfuL3DD1+6AmKihYXad0BRVbpmeU5vOGPv7H771vhuhgnd8ygF1xwgTOUShyuYqTN9uRTK3TcqERPSn6BRJdOmTxd/nxF9p9XLPfDAvbcfww7rBr3Ayd0SuhgAiOCDQdmTF04ZYds+SEy1zdK2qglMFwTj3qHyQ72TgLBJyQMACiSZcuW2VVXXTXoZExnwWOfqIbQYRiomQHgDEiSKoANDswAGmaxvPbE5gvAwX4M6KLT0771rW+541wAXru9IgGdPiIxBHQ2bBTVrw5fWF7qQKdBoMAbfLQa1DQKCeARGiCLzs31M0B6k3YD6GzHcqDPn9TM56tf/oT/VKc8QynNGgE6mLdgvgCLKAbk5ABGLThNBgDnpg2yFKqxDeuRM6NNM6kShYOiAlUI3cNimWnSEq8cF8NL2hhs5cXlA+yq1av8uQS0BgZ0b0+OPsNzzXPBLPvuu++2jQ0bfQDTIxQ1AIpacLbm2Lt6hUFsf72jH3b32tV5heU890FncE30ca6bF/sdafvIqLfr6yepZLmADg190ywAwLJ0Ztp9eZiAPfLII54fTAU+HOjQqAoxY8ZwIBL9NvR/7gsvzjPcO+4/+23oiPXL8zfbqyXoD/YHI8M5wx7R8A3iMyAH52TC6QkC4dlBR+A7CaNO0V9MWvjwUKCZCu1EbBGVxsQRXyPYa5geXnxmGb/h1IzfDiHp7Jf7Fe7LXl1EsvKIEnhugjjiqskK+1MCId8CeXO+/e1v+4CMOQqlRH6Gd7/73TZ16lTvDEF5ofB5EakFOKLRUQA8FNDbk8Ys98Mf/rAzRuwX0EGHR6Hs6cwiSyBi47ZuL2I5rVReDhpMTv3QG2z2xNl28y+ud9D2mg++0fc9IGVIRfbSWaeJwj3YWhvrbMas6VLCGarndbnVPftn7/ivu/i/bRzT4NZtdpPMDfXpJbJvH24VY8vkULjdvvSD79m6detsTvUEL3JKeH0AjChFPiO7n//85yrK+ajTyjgEYiOH6SK8HsW1/dmVLqb5r3uPLVmsMP5eZYhVRFamQr6Afn3ynaGSdpbqNvm8bBCR7Yl0k3VGKwG8ZyiB2SkG5Y4V91rnn++2mfXtNqm+OeoHGbHvVMyEBN8fGCa/XYGaiE8k3dMl/5oMm7dG1eQ1yN0xeYWt2zjXpqfH6nmXSYOCnXp+c+KiozxLu2sjga6RtmcQ310b7e9D9825hD6NHqGNdH4humuQ4RkmDiYYqbyUdWkiQxRatqc5j9ImrV+7zm6q22T3bllv/aXaUKBlznblr9Hvn+sptTG1erXU+/rtOdGO86L5lrUrxQCN4CrIvyqdbqpjwCaorlhed7vd0dlita0N1h65C1m+ojnpmyQWiDbcMxMg9w+dyUQIMxM+jYEJP/jgg91BGX3M5PFEmaLQcUzQ2I7PRMqS7BKdS7JA1kenwtaQDPVShd6zLswN7gc0CiCjzzkuqUHw+8H8F5nE5DUWPxMj3ZvoQpP/91QCCdjZU0ntp/WCczEdjIcb+zBAB+ARZl90hsMPP9yBDug/OBmjrFmPgTzMfJhdsR3hkKwbTFe7Ov2wDu90PgAW73zfk9atc8XOfOHHf+BKokJVv7HV4xNR8voS+9nPfuaJsxa+43iF0o7xa1i+fLnNPp7szwdbnmzT2PVZtnTpUnfApvzFTSs/bldc8TWr1LngpL3JHlIx0Z9Yo3xqyFHxwPoWd75uWr3e82CQbyhEhHDeKGGSm5Gt9ZhjjnEFBB09Z84cB41UjQcsnXz04T4b+78nvm7TlO6+RCn7meUNSPmitqM53p5IIllnf0jAFb6Uf0d3x+DMm2d6j1hHnZDGmQifaj8+cOp5Yp88h7wzUWDm3jVRPluKAIJJTOmFn0inTC8FsVlxV9c2lDXZ1Tov5fKgL9AJTABgf/kcBtKRwNTwcx+OzfLlt6ZqeCqjkhv7K2Vaa7f8WFSpnHvEREMl5CLrUYw/Jo8bY2XtxXukYwLWhMmVshtkPcJEb/j57e13nofgQoBJCUCDHuH5wBWA2pKwYcHPEd0QshojR0ploP8wPwWWGZ3OpAr/SvQp23O+QRcDfAjNZ5/kRQNU0cLvwa0hOE7v7TUl6+9cAgnY2blcXrSlQ5MKMgBD99LoJHRCZgYk5wLEQKkGUwwdgoajHrVoUF4oLlgUZh4BGI0Edujs7Jd3OhfAJMx09gQs5Yj7h8alo19xxRU2rUrJ/lRb68mB9Vahek81NTUORsJMMqXrCJ1fVRfU5Gqs2XS+wnQves+HbHz1Gps0dYxd9JkVduN1K2zm67ussHjAygY089bTes0fr7bbb7vRLv1/y+31r361ZUixrFq1yhUFSoZrQBZQ5zgCQiUDFhmUOA/kRxIw5EZo6IxpE3xEXHz6u+wX//MT+8L7TrEBMjNr5kiMRo9CiXlRu8k7SxwlJdWbtBdBAsVCKFg9n9i+wVY1bbFTn1UlbaXLnadK7/kMqKmI2SmMGYFBnwxVV/fb1dsqdkcmTz1r9I9SZaXk+Th9TRRd9dvDG+zuB/5sPesFcLW8W/lcYD8y5LvDM4vf0e5aAA27W2c0v+0tGBl+LHQIugO2lkGaSvRMBNhvAH7Dtxn6fXjenuFMWUqpImAk0soJhL7o0QoM/M1y+H1QGaRbtysuSgkXJzdETM3ntfOa+j6r7NrgTtuqLOaHy+6KGC7qx9OKlC2dhuU7WgOfHPnoiXFNZ/Vap6L0eEUeW2ZTdI9pxGl6G+YLFi3c+f/u2yf9gA4hp87QSSVbcF1hYhmADnINzHsoF4HuYV9Bp/M7YBqmGr0cdHEwt/NbADpBd3E8QCkyRY8nbd9JIAE7+06WL3hPzCyhQvGVodFZeNhJHPiRj3zEH3qUaijeGUAIHY6IAPwOUFxh9kCGWRT2npih6KDsh+1Ddma2g1YdCShxrr1SnICGRSdeaOPH5VtHfYt31slyJKSxf5QtL3x2cpWFDbNc8K0BaJEP6CSllq+qylHq9SafXc38eZdHXdgZc/36t8n/FJeikN0ZoNMkcDNessI+TgNwITtmXIAdFPqZZ57pigwQR80iWojCQTHdfdttvh5ZblE+jKwoqfKCcmV99dWT9hJLoEcDHLWSyG8SBiIGymgGvPuTg4mg7wBZuM9DXyzn+YThK6wv8T6gAuORg7uQOPvvVmmK3bWRwM5IYGWk7Tmn3bWRtqcv0i/QJzT81JAh/QE9MhJDNhLYUYVwl1PrxmddF6kqux/nl6oz9bAmFzRKMgBlplTk2qGZYx1stXWpSGi6ROVXIlDjK+6kcf9oRLll6rzRcVwzchlJNjvZ3fMWsT/6Ow1dhI5FX6BHgokrfAaQBAASGPUAbPhtqI9kYHsC0EHfhahYGHDAD7/RArvPvQi6/R+dMXyeIF8GCxKw8xLfJB7wB5UoCzNOACw86CgQfFEAHXSGMPNAUYWOQGckERYdLpid2Mcpp5ziAz6Ua+hQu7pM1gvHwuTjfjVSJr/+9a/tYx/72KAi2NX2KSkHQFJw6vVz90KHrdasnCgAOc6fY7DfHpncuAa26RGtXaa6Oc+sX2uLO6lZhJNoVBJjzeoNqok1Xgs0W5IJg/wsbdLXmzZusFalnkcHlui6CQmFbmbfQREhF0x7KN/AKIVBh3NB8TAAnHfeeTauXKGuWjapusqOXfgqadUca+9NWXWlnJ51jFpFQ3XplSNmx7NxxDWpdu9psStpJcv3VgLkScqRCWNDy1aVhWi1g8UQDOhelMqjKqOrRb4e0R4z4jwxIRO19UcDmOIcPYdPt7IuE32UG9f9mN4iJ2f9tXZv9+fk9WeeFpk7lf+G1tcQJXrLHIyW2tszj88rjNa72HwksDJasIRe4BjoGQby0L/f9773ed8YaUIU8lUFyBWYnfCekxbzKTDT1KGcV2JNt8rMzORn68ZNErpmJxDQOv6/6W1+Y4nNKFRUnIq7unk4rfw5fRETU9QTvffHTJ1SK3krEtYkwo3yGqTEWltGjaoc5doqsNLiEkVwxSviggSwjYMhbDAvVbSfXf2PXIK5KLDlYV1AGTIKpv3AmAf2HHATwAlyZV+8kClsD59ZHsBU8AVi/2FZ2D/L+Dz0XIbq+l2df7J8zyWQgJ09l9V+WZMOdcMNNwyifg5CZ/rKV77i5ikanZAXwAQwQYdggKZTEaUVbPB0PnLrMHvDWS50qN2dOPuaOHGiO9stXbrU9w9QWLZsmV144YUj7qNFZjfqaGEWgvFPF0TB2CSAK84sdqc8Ig+8U6u8QraoYgAZigCFBiBDCaAcxLTb2DHRI8nvZLoV0nEKvrC6UMo6Yr1Qrlu311v1mPLB5IrsJ2QfDawWvkAci98CEHJ/HClfnBG/Lx+dHEKHBY46U/lKYihJZW5zeQLSyhXYtX53wkt+2+8SaGvFR03+ILpH4dlngMnQINKtZyRCoLs+De4/91v/ovd4VfI0wffQr9g3g1LOkJ3RL1IqYjUQlx3Y9RF2/8towcpotx/OztK3kQd9JACf3V3BSGCHbZm4lBarQK8afflz8mNxhKm+bnIIp5Fogj7Y01hrRPeXlsrkTkLFEXIbMAHyGqX6QxacM5M7gFVZZgRM/QAvsA1ltgNThI5g/0OBIDoIUMw5BNCCHuJ8AuDhFFgWgk34je8BRPGZxvfwG880+0SG6B3uF7qS35O2byWwe4503x7rFbm38IADTmjhPXzGpwQfktBwjrv88svt4osvHlwWOiEdIbA6dHiWw1KEgZxOxHaEPtIC2zO4o518YB90NDo974AMGsApsCI72WxwUZFs3EcddZRRlf3BB592HbdtozKl/uLH7uS5ZMkS7/yYlZhJ/0jhmTfffKcrE5idgkLV+qrbbl/75hetu69NQK/Hfv+HP1te0YBNn6UQ8G4NQtklKg7apMroZgsOP8o2PVtrd97+V5/T4eN0/fXXe/g9sg4sGGAGWRGNxbH4vFzsGaaqV8sERm4horG6O6SMlWzjzzfebI8+dK+0ldmEGQcr/U69qTi19WUX22ZlQiuWf0DKbSEybXT2korF2aWk7V8JpPVc4ljMpMBn4Sqe1qXQ5k4+Y4LVb7x21XqUaXlA9aUylQQoSw9QpkbalExU4h/1/MhfTXRhpvxOUmIo2vW8UhyUltLz4lTjCC0CUoCpnb8AUrt77Wq7PV0+wun5sWnhPYCnoJdG2p7Qc2SPbuCc0Am8a4T2V59MjLAsVNji9d3LLlefVooH+gq5btSFs44aZ/mTx1nzeEldY7iCquwZxaC3KvK8LrvTGtKd1prTrTphvdaWO2At2QPWpN2TYylbDuKbdUv+Il/A+2dX2x2T8uzuqUV2/CELlfkoxyrUR3n58fRCy7qmBUSNAKRYjQawQA8GcBP8IsPvvAN0aEEX8xl9i14ZCiiZYA5lcIayRWHSGvbL97A/jh38gYKOD+sl7/tGAgl83Ddy3OVewsMebLu8h1nC+eef70XiaDU1Ne6T4JFNYlRYb7iTWugYKC6UzjKxL5hxUEZ0OEKrYWcAOQwEw2d1OztJlB8dLSi/8M4+A6W6s+2GLuO4W/pr7JJLLrGa4oi2nfemRV6/iugnnPAogsexFs4Yb4sXH+6f0cNc8/z5860xPcWQR1Wx0slrhnPaaf/Pjl5IXGlUHqBLRDbtbIV0Ej2FjxPgpUj7Wbx4sSfkGqpMYJsICyWSCyCGLIj0IoIL9gvwRRbT3/ziZy7zStUmwmzXrpkvGXazskqtUJYQ7gGhosi7vr5T4JK0+1JwsflkJNkkv49OAj44axBjAGJQYtB10K/dDoA4R7gP2TJnMDj3KqFgBCAYo+F1VKZFfzzjPDcchwzNKZVT8AZNCQXxCm8dKqdAwr2AJzOUR4u+0NsblblBfsiVhJGXfesy+zcFU9AKKsr9Xk0/8QgHCmOaV3s/0zxBjuVMpuhb+PRFiCSAMDAmr9j65ZOPcVl5HiEFK9WmQqL4/MEYc7+SlkhgTyWQgJ09ldQLXC9QnKQYp5MyO6XzY2rCsRjTC45xmFyYEZAcMACjwNgAQBhggw3YFbMUNMXmgpIAADEoM8gDFsLykU4bBcT5AG7C7AYlBQAKLM9I+5gq8PDZuSc4sDlscoWnU591+uGypxdY+YxC5c/5qt225V4/rze/5jhrE9Ozpn2swlU1K5s227769W9bvtgUorrGSQlybRMXnBQdtqfavvetqy275ghlPYZ+L7KvXrbcbnvgQd9fn8wcmLvwTeJ8UbzIArMYRfdmzZrlsobxIacF6yHLT3/601FtpMaoSvNBB8+NymaodsRXvn2F9aUK3WfnlDeebSUTptpxR83z8+nXoEmNoWjiqsEyFHMaSUjJ7y9IApkaGCEbZ1ROsUoV7rwvT+bR6hKbVb/dB10lSfD9dsez+OyYmVSlIV+emc3ALAf8iLBRvqYoCmmtQqYd/KSKLL9EkX65xdoXae/E5gnodKd6ZOLUwbnRr+RGOQtdP/xQjwBOrsCgMw+Kdkqpn9I6ZHa/+prf2Uc//BFLFxb47211Uf6cfz//vZ6Q7/uTVll3db5V9Zf5/Zi/pcXGAmQ7mfToHqmABoVBUvheiWXxI+rfIwO5HtV549QyMcQCu7NmWoWKdh6mQqCUEolqbmh1colqd/Ftjrb3s9sN7ee/J+2VIoEE7OznOx1MQQCd0DClUPeKCCAav6F4YRpIIU7DgTbQmoHJQYmEz/jIBF8d1gcY4XsDaAm+OkPtxb7TnbQQNsk2+Pngq0Jj9kwEDMt22zTgECYln16Bi9eYooK9bbBa6SHFjXYVWpHyapxy8CnRD911ViBQN6FMjsEap4qk2KqmTtWaKXvNya9ROYF6WZVS2tpsc2ObVQn8TNTvXWKM6rar9pBMXZm6VtiggnSBO6/SkDMgLQBEZMM1wSoRrTXUro7pixBTTGwUxuqTzDKyowKAXTJrTBBgJJlgbW2DjasqcbYsWDScwo8NWEMp7ejikv/3hwQYE2vEfAZAi9zpC9G92P0RA/hlLXxXYYeYCLA97zw3ONcHMwV3l21y4oF893uHJTqw2Z90ThT4DdBBt6TzYzYFWlb3oTfOx0WtMlqn2JdsTZRov//Tn2zhkiOcyV55z+2+vQMlNf8fvxQYt50hSu2+Vy/SC9Cv2QemdSYsTG4KcwqtQUkFBVV9f0lLJDCSBBKwM5KERvk7LA30Kx0Vx2PMThSa/P3vf+97hgaGCaFkA87GwYwUQBLrBKaHzyhilD0RD5hiWJ/fySBMFNZwG/FIp8/2zLRQIpzDZz/7WT8f2BBqcZHefLcN5aWXauHJVCDcIy9forEU+C4YooUEWQzmQJGNXmarCrEr6LkB9GZWZN+vbX3aKgorrLle9czLhXCyWm0cPo/tyjXBq7jNKmTjz+ySaYuyDql6qchuAb7IjwBwFoAOMuI71xZ8FdzfA/8PDU4hl4YrXjmEdJK7QzvN0u/polK5GvQoCKzfxlWWWGuX2CRl0+2K72G7YnE7xcXnK2osJ/vAHuh2e99fpB9Jv0LdpulF1XZI9RR76OBqf/4rN0c5SObXRSfSnBMxPBUalGmZmdG7gxe9GH65Xetyo2R314hxBPjk5lTa1JpDraKc7LZKWtepjMB6LrqyenwQpkL5K7n1Daiiu/oMsspWwUya9ytFWgVdQwLTP/7hWp8CpLTOuMoq+9wXv2CnnnyKpdW3zj/0tfaz3hxP+fDTzescWFZ3bpGv3jablNflfbQprRpmuq8ZGVEZnKaBiFm+4YT5PvF7tCrbTdXHzznBpuRMtXSvjkN9vXgEa9E7x1evj25X7HtlMoElLZEAEkg4vhfhOWDwZVaDMzFOsQHo4IcAqJkq5gKHWtZDgdC5AxMEQ0Hjt5ApmUF6xYoVg8CIgZxCdbAwYaY51BF6d5fI8QKwIswdoBPa0M+72kebQJFsRP5zStiBWd2AwIIDHRqnLx0ZZm8VChN3pKPmJAn/SXmWFkbRHA50YtMBPhVeHtrxkMxT+msT29Kn3CdUPGcZ7A2voHiJpMDPBsXJsuCPBNhENvw2dIbZq2MXiCkC6ISGYoftoaVjM1XwXwLgBHn5+Sdtv0ogjih2/4yDDjrITbWBkdmTA0O86FGImAR9oa/A8nEPuc/UP+KVC1MUdhizNaGC+Z4c50BdJ1OTAWSFozItsMm5BEiof11wwQX23e99d1DvcG+4T+94+zu8D2pjK1afXyp2lBc6ij6K6R7/KO5HmJDwDpDiFSZ1sOD0b4IumMwdftjhwjfqnx0CNclU/UB97PbLdSWPy34R63M7BXTAOABUMJ9Q+A3WAYVLp6dRQwUTFIoiZNxkOYNyCEEMn1EOlGMgwokBHODDoE5q8sAKhYF+Ty4Niphz4xxDUizOj324shqhFQggSQM+txa2AhnOASquIOMnjO+cO346baKku4rL/TPT9n5VMU+pKI5SjanGjUAPNiMxN00D9TYuV5Fl2l9Du2aE+eWWV6HwDjbTui1tTdYfJ/wA1HC+QyMpuC5YL66R35BVYH/Yh5sKS8usS5WWe5QxuRDwKQXcI/YmPQDYETjqimb2aVXdzlY0Tz++CqokTaPKd9L2rwQ6lF07nSXGTeD58GmH2NOvXWIbb2y39euiQh7ztkWMTqey6npTLh1/i+/NgAA4oJTi67RW1T0TKWCPzKh0H63Fi0+xCZWzgNXeMnUs8sPgs7NT80q8Xnjb32YsBv2XNwi0PQAAIABJREFUsgWQE86BvuTmdZ3WChVl/cUvrrTSohJrbGmSyVcFdfPSXmKhrbXFihRp2Z9bKD3WI9Z2tp12wji7evwcu0eJPO8+9H4HMYsfucf7Zr5ycgGqVuUX+fe8jGmuJ/9vWp4nAz11/rE2Zc4hNqNPx9YtHgDs6D42RBYzn1Nxy6vDnZQfkLfIavZSijA59j+IBBKws59vRAhnDCHPTz/99CCIQNlSB4rIAhyVAQNEHdCCzwmfmfEAehisWX7llVe6eQnFw7IjjjjCa63QwswoOBgHsOQ/7qSxXjjHkGU1hKwH+/pONttxkZQWUaaK3rVWpfGn6jnBvd2kfucJk95Baae9SGCUcbVfy7s0PuFXmBkzPeQ56RJJlKvVmFWXZyjckyAsrQTQaelRynViWdXIxlxSoCRpsc0e2QFuQmZmvgPeAqPGNSGvAH5QtCjtni5FskkGucqpwqjY2aVEa2JzMrJyxVCpXpIuiuEznSPGCf8kgZ2AAbsVO58Xsp/5WSVtf0mAPjCucpw7wePwujcO9JyTgx/9x0DKIEowAOZMTCM40nd0kDwuHhnxR2H1mM3YX9f0ctkvOiUnKzJhhcnCOvnzfeELX7CUwGOTgE5xUcRS/1T16KhFpzzH1tTcJFNv2nUUEVjpcSV2XHWUKHXD33IMXUh/dXCj9AAcJ7C0pekx/ttZZ51kS45dYrNskgxUAjjcGr3Is5S0RAJ7I4HRPzHxxKMtnkkVDPHP4ESaYn+2kuAm36MBQ0rnKeVUYDCcFxzMSL7AKMJ0WQ9zowZOVE9RNMEmAjl60BWNgY/I2rwIudf8A3CZQ4EJjAudlA4Oq8PMD8WMMzIOvyH6CtlgqsLXJrShwIROT2O2E0BH8P1hEGfgZv3ePJVYIHxTyloju3WVqK6PmJ5WuBUlzCvZphuic3ExazDfoN2ixAEZKI8xm4VStK/NU6tsg7IVK12X08QKkLfZKeWpHRDdLGfdDGUW7hQT1V8qxxm1rYqCyRP0qLLoO3loMsSI5FaU+Iy43Gsbqw2+Bdt5ueUU6aWfivzp039ilfLDipE1y8ZaTbS9rF40QE5utoBO/DwVxseNfsUylhoEOiwLsgzmJwY4XrQgWz5nD8aQa8d69AqDi4bye2QI6Ax6bJDsRWG3nHccLZsAHZfm/m0psWnoiV5FSLX2ddqi8vlW9cYP2b19V7tJuH7+NJ8kLK7t9klBVkujP79Vcvbp0N9WPekA7z/V5DsDeu2M4gjsHHGCHX/66TalYLI/r+lcPb8oHpUzsYJsbaX77ZTQS0vfjZY5GokZGmn/dNG0AM2AZOwTLslw7dq19ua3nu2m9K7+qLxKg7KaX3XVVXbyyScPTtSyxZLi7waIyVSG9JT0+5HqQ4dOm2EN1Re5SflvD93vCUlvvPUWO/+C863/2fU2VuVjZs87xFnYoyumOrMbnWeO9ZNhUOosQ5mUoZdK4tplyjcarxP3WIGspCUSGCqB0YOdEeRJnlJCCn1WrIce73tpG1dI/NFQUtiGXbHwDIN5wn7ROdoso1fb4WEIIBK70Zmngn3udvjSNpRJADawBswY6dw+m9F3Gnlbzj333MgRT7ZqwAqzypBjZ3dXwH5wbAZAsT8qd+NEzGwIEJWjfBbuAwSgkVwBMo3tYle0rssXxIjcqTwsv5ReAZy2/jY5FOdHGWOh/6XE8PmFVRpXNs62NGzxUwKc4ajM+ZbmV1paZp56mRVoeWI+OjzsN0YfvjRpiQT2rQSCjshIRWbRguwcr6WWktnW2Z3b7nU/M/qcD8b+wNOU7ymjWOC1wNdLaXsmCOXlNe6MX3LiiXZQ9UFu9Ijna/v2xA+QvTmrE/uzhfxgJEHdvHnzYNJSJntvVm07IiSHBmOgs4IfInNY9/+RXLLTymskEIReOeOMMxy0rlZtrde97nX6XQBGNbPkEs10TUAnuTsHyKP0kl/G6MFOjKwL4glQTxyhEn+1wpgSrs1VHheF7FDnFk5hYnurO6l9r2CNzwRKt0c5Uop70z6wF0yYaBW5FTJxCDDoLIvltc9APr5fACedb7PbNUhruwHVNhreRpqtDF9/NN85Fsog+IewL2YsgB5+u+OOO+ztb3+7K2TASgAv/y26l5w4e9KYkQbAE/xpYHw4TpZkMG1MlfXVNVuWlDpZ1lD6JL/3BgOmcNG2dJ91qLZQK7PYzAKr0Cy2pa3OHqqqt021m6zlGYW1lyhs/ZTp1vZAo7WtabLWkn577yc+at/+9reVNr/fGroabNp2HQMQx+57ZeIpjCj/PbmOZJ1EAnsrgXyNdaiQDjFtHrUjL/gMRft1nHyslR95kP1hYpYXh72hfpv3t5yGRgc1hYpbZv1GpRYoK1N9NflmYTaet/A4q5DZ95Ai8rSk4uy70knK9+Kscpg/pWWIkT9Y0GN7e94HyvqAneD8TxTV3/72N/cxJKqUxqQLNodITkyModglZmP0eK98Z7gvGUxmh7RcZSLPUUQjU2EiODubVBgzXe5WKhoQpwMzeDKZGiK15ONoJDB6sDPC0RmU3TlUf0To9IhD2Fy32Tbf87A72v404zFXTsXbonTwJX15buopnzbd818cvmixTa6cbJUyc2B26cV8w6AOw6NONJSmfTFBTrjsoAyCc6874cKw6Ny4rmXLlnlVZRr+I7Tjjz/ec7+M5E/DuiiN4FMD4Lnmmmt8HzSOSbkJr9aL06wzN0rfrhwUbt+mdQsUxuYb7OuyoEuRDNjKp1d66PrVa25xR+mGhgH3HVq/fj1pjX3TVhXsu+uuu2J6OPK7EYqLoq9w5ExaIoH9LAF1J2/9cjym/7SrZofi72RsLba8kjx737nvs4fXPGyr7r/HQQ+jJP2lTCVAMCOPVxps9Enx9BnO6MyctMh1ET5h7lOWET/HL7G5aj+L8QXvPrDT6CGSoP6LMiTff//9rtPRcURXUd5m9uzZfoxQKmFoIADrAV76BHwwe3n0lcyTTPzIvMx9ZZygvAxlPHhn/ciInEymXvDNSzbcQQKjBzth6hMFRVh37JohnsYPVNDbZSkNtpuF02vba23tUyvs0Ucftdn/+7B1yY/lbUXN3nGK+5QeTu+pziw9+Out9pF1zoTcvuIhLwfQsfRkV3C9ylrX0dVsMxs16KYLBXYi3x3vUDIpDX1/Me61d1y1QPVyDkFBXH311fZ3RSzgIwJ7xXJKFlx22WWDzM9I54hMUAQo8HvuucczLPOdBpv0pU/8u6JVBP7yIlt1lxxusxXmREL9nj5FlZRkW31zna1PK7xbf322xW676zYr/83dzhZNaH7YJkp241a0KWnbVqsV0HmyWYUxCyk82qMIpRL70U+W27gTD1U9muPdDLats9Eqi/J9xj36B2gkCSS/v5IlkK2SArQqyjioTlq/GJtMDZSdBZhsc62xP8tqpp5gPVOPseY2pR3QC/B+9113uvP/O7730WjylFMmL68x2iJigis6I6d/T7lLF6Y0BBMUMaC0Db54wGb6t1duC/6ITOAoTExNORpRj8iZUjEAHcCQmxEFYMI2HrKOed05+cinJkOWAGqrskSVpXxf5aqlVa1gg/wB6bp+mSMFgHJlJo9aAnZiQSRvo5TA6MeqEBoZYRuphwj9hLBNgA5KZHvXdp8R3PPXP7sXfnptq9OjIQLIBHboKFkdYn9EndYORDVwVq7sdhPQ2P52O+3E02yijRd40mn7lC+qyxJk8FIwOygBZiaAHe/culbef/3rXzurQ6Pzw8KQCwd7N3k9aMw8AzAK1zD8HRnB3LA99aD4jpw4JrMoAE9a9DK+UG1SPoVyEG7pbLNSZRfO9ggKOSkLsKRlwFrfsd4eu/sON63NeuQZB4ctuS1+7siciDH2h3ppbychn7lt/jaFilrtE9Z0WpNNPPyMwWyzPhmO7/vw806+JxLYJxLg+fKRUi+RMJlEv2lZn553+lo6Uw75+sMvsKigSK8Cm1Q1yZobG1SY9kGrUoK7SfrDm0eVlfSX4dFXaZlQelSM0nccjcT75HQPtJ0wUUNHw+rABKN/0G/oi7POOssTpPLZncOll9BpTNBoLFPMwuB39E34LVPglfsmrt51GSw4rxzp0xxqhKgRcanUjweaSJPreYkkMOonqT32B8S2TitQCCFtG17zam3KZFrXWmcNmmltUS2nKbc/YBUaUI+uU24FMR0LV7eoBIBoTA2xkdKKMu+2KJNtXl6GXdVbrxnEWrtZA/iajl6reN2bVe1WvvcTVKWYbL2kVx3WXmzQE0xpKAFmN3feead9+ctf9iiD0FACmK4C0Fm1apUn39qTBg1PNNe1117rygIlwjV+5StfkdJGMYiSz1ESPQEdIGCWih+ylEy/DbmdctTM0/IGu/3P11n77663Kp3LSRtbPM/M4oaohk2FFD/yL9G+ntC2y+MJVWH9gM3PHGP96+utdvnVdkN2vi0+UkyboqOyZCqYnoCdPbmFyTovUAItwvE8YgRJ4VLj8F3PptIyqWlKpYkAeiRDlcttQOkBYt+QqtosK93QZ0vu6rLKuWI+FXXX39hj7eonhSXRYDyg1AGiRf3MGJQB7yGYFII64RRcNParX/3KGeWQkgLdQ0HdH//4x87wsDxEOqILwwQQXdU7gO+UdIvun4MdR5ZD76dgaLdcHZSHokB6Ky8GOg6UAKNJ/EN0E5L/Ry2BHb3GRr27ne8AWzq5MfDRwacFRgJQQBHKXoWTBv8SJSSXQlOVYv0xm6AiNg5vzC7oUDASN91yk1KvRBWwmUm81I1ZSZitMOvh82OPPeazINiYwNycd9557ujLLAimCqADi7InDRAFw4JDczCbYROvqamxAkVQtWt/vXLEpPVgRoujJwBC2ZJnQ0eD/f2Rv7v8YW+QbfAtgtVhn9nZBZYqUO6RqrEydkUN6bYp4R4FRwFGmL0wDdz30H0+U04Sse/J3UvWGY0EQg8PEwqGSlmxFLggNkcJLAuU0ykDwK9+5S+adEV4vitVmsRDyNUy5TBbWBJl6CbnnOdWipuzlEl7ngQo8QB7A0tGQxdzLy688EJ3QEYnAG7QZSxH5wGG0M3oeNhlfAXJluyBE/GLdQL7z3Z8D64A6Hp03tAUEc87sWRBIoG9lMDzaZG93EGToAqp3HMFWrL0IGd0SfEIAGSURtpjrdXZr27/k8393e12qjrFaYr06erealklojClnMiiAeJqV3XiLj4rYohWLbMW7c11+dayZpNtEVNUrPpIa0ofsobxk2317GPU81I2XrVs6Cg7e7H9aFketqfjRYAg298DuGH/XENwTua35cuX28UXX+znHsAM1bep/E0SO5QDUQ0o412ZsIJiD+cPK/T+97/fnYeDgiFtPtElplw6+dVl1qRcOMCd3FhrRzMpMf+aDq99epXV/f4my1nxmL12XaSUjlxd7wqpKK4h1NGz3XJ0yw7KmWRPaz/NeRT567c5mt6Oa03Zxx4gC3G3/STVa2uu/o0dUbHIxk4aP+ggHuQc3gcHp2QU8WchaS9MAiru4BtC2MC0qH65fyczcmgO9JUbZ9DpWA9ybWWmrcppUZJImbrw/8AVR0xkrzanhlu/GAP2l46ne3qsvRXFvodF/fygl7DRK6ExqWQSyuQNvRDAIhM3Jmf8xjqY5D/96U/bq1/9atet6COXW/weZBUmokMxZMTcR2uE5YHtwU/HK38qD09uXIMLSm+kII7R6vdXwr1NrjGSwKjBTuR6tnNQQWQQjAKsxHR1kmCCyRqShXakG0EHw4xDZ4IJovNRybp49jzPE5NWGPruGkBlNA0wg3PwUBYpgJ8AdMJ38ub867/+q59vKOeAHRrHvlB3KtS82sGuHWaecYRD6MBhvxw/LAMs0d773vd6vRgVcfKZa7+8/sK94Heofl49AjOApE2bNjlQQ7lwTt0qh5Dbr0GgN4oQC9Yofgdm+vkpAgbpsR3Kj3MAwFH2AjMcCrAkPzgSjkbKybaJBBIJvBQSCJM3+jKfYVfQD+gcJmjoM5ahz2CWzz///KgchPQA+ilEir4U554cM5HA3khg1GAnnv9YH2OjaOUMkgaKTegQ49PQ02AP33WHNW3aYAs2UPlbLEFvsw/K7apO3NEtLieeWdXHNpGA+Cc0R4PwBA3mRfW9dtzKfJlfOmzjhFYrWbPRnhqotQkZE3ymQWMgDq/wnfeQI2JvhDJ03aEszlDbNOAn7Jt1+P6Zz3zGAVmY5aA0SCa4YMEC32WweTN74rwBRUP3P/wcuR4UEM7OOHVzPAAWDXaI/WRDx0ieUf4in4t669HMl9lv3eZN9rgiwirvXmmTRUGftKHVnQgrlQIgQ2wa7A0pAVapSoV2b519Uc2hbqa8+tcsbNWhvCaH1yqPj66xorPJBjZttbvXPGDlqkB9RP6e+R3Fp5W8JRLYKwkUx+bZQUd4Rex4C+hcD2kKRkDPMug+P/65QhnFeT2u53qyArAoI4veydOrVywxnoFRz4lPJ2hCbGQ77D/+/QB9Qw8BZoJuQWehl/DHoZo5DSBEclF+I/ScFtjskcQS9NFI6w39nVubWBX3RmLJunsigVGDnaHMjrMP0Al6h9XB52bt2rXOCjADYGDnj21gEGJCY7fnWaSSBb29SvyuTkmH5P2BBx6wrEfm2ORDJ2u/EbOwKzpztMxOYHSG+rlwwlzTIFWr66X4HexJ+A1785lnnjnopwMwmUDFbzWURihYOfT8ADaBfWE9rgl7+BVXXOERWTRMYccee6wn8PIIMHJSSJC9gD3kKtiDXCNGZsBz/MCs1QgkcUynjWGQcnTrY9aL7SByuHWcm/sE6nz9HPTHOZL7oiAjKjwKWMIPy6uiVyVgxwWVtEQCL0MJAFrQZUyi0DW8YI8Jfgi6CaCDOQmWJ/jReBFdCoImLZHAy0QCowY75QpjIEoio4//MqylEKt6pjXJ/2ZN4xYbv6beyjr6bYIq3w4oB4xcjxlaNRHTcKxNcvqilKUTmyNjeTdhF0PaQG+L1h6wGZqlZcpUM6GR7KhbbVtTnZxke9Uhd7yE4aBnqPlpNPdkaJKsYNZBAZBC/X/+539s2bJlXssl2Lbf9KY3+ewI5QDoCwU+MQFRKoKGSWjoDIlzDcxNYI0AdxxnzJgxzhqR24JcPfjsREyTUIrkGEI0s2Px1WnZgJi2ZzasEUzpsSO7ZfJr6LHylnp3DOwUy9Ys/+gKOSVwP0p0fwA86TaZrHRuGa04IvarQpaAjqqLP6M7Wp3ZbsUtmj1LOd7U9YxN6Vhlp9ri0Yg12TaRwG4l0KTMyd7iqX6Y8Ydez3uvEg0qN7lMuXqSccRRS/XJQVavnH6lhRCrk6Nkdj55IOyKtBXk7QHdx4Vc29QHaB1xNFd/fCB5xR3wDXADcAnMNUCHSRI+hUxsSO4Ko/PP//zPg7IYqg93J6Bwv4avM2g2R0/phYsULy+NGNNBPq4M3zD5nkjgBUpg1GDHTS0aFN1fkM9SIPjkwOww84fRYFl4j9gHkcroGSiE2DFwV+ffocE2nwgtMRIAATolZqK75DPys/6f2apNIXZo53sI4GHnv468lONy7rAiMCkADmY8+N7Q4ck/AatDG8wZpM/8Rn4a1keZkJ0YuzcKhWsIDoG8A2ZgW8IMi88wYbwI+yQaigYY4thUPCdtOynbyVSBfDvjkM3c/ihaYms6imioXf3EoKkP1gagg0N5b5aSd6FJpHVYplun/UfJEav7lBcoPyo2ijdnW3ebzJJRQxYoQd4BeklLJJBI4OUrAfQbug0dArBh0kbaDHQd35l0vfOd73SgE3x52Ibl6KuRHIhfvpJJzvxAk8CowU4mFSTJrdMLDM9Q5ezIwbVFIGVTW6Md1NCvAb5XCaI6fGbVqgzIkDqqy2fZOnpznCkzR4CJ1p4TmU/ao2AsK+3Ksi4Vjetsa7ce+fmUNCotWFO7bb5bpq0nV1vdhlDMZue3ZrQOdNC6ULbB7ARLA9DBrk0enb/85S9+YAAKCgAwQ5g5YODnP/95VL9KKCLYxVkH8IPiwKwV/HiGn31k5htwX53QOC5gBzmScwfH4yqlzHemaSASGHNctn1GZeZZd6LK0LfKGTm/od13k+OoRtXPwYh6FT6bdrCqQDedo26lMljn5JbbIWJ2SC+4ETDlf7q9RRl22PoBZVrus2t6uq0gztEz/NyT74kE9pUEStpiFRXP9kOOuYE4/4p7sPWn3PcPNia43HSqnAmvYuVwKcaoK93hiJ5pGQoI2gCdE1M4IeiqIEy+QsKdAzwaC10SJlEkfaX0Aw39xW/4BhJ5BaOMDgyTNPQWemZEsLMjUf88qga9wgvDgBsH+K7/WMYtj4cBP6ekJRIYjQRGDXYiBRKfgjqHswT6c1OJBnQGeWYAwVeEwb5fKcFhkp3ZGaG1djK4k6G4yPcVOtgJJ5xg5517nh1mNb4Hlu+s7Wr5ztbd2TJADOwMnZ7OH0xPsFbf+c53vOI4TBPLUQDMij74wQ+6eQqwEcxomKMAXixz3yW9YIJggIJZjGUoD9Zhf7zOPvtsPy77IUcOiudPf/qTn6rPtHLRDFINg2An8tl5WrIlUeM3Pv9BPy/24Q35S5ER1KVD+3n0C6yyC8aAcH4wc9QOwiQJ1OFWcW46pDf2tyugFq2R/J9IIJHAy0ECwbROHjD0VDDFE0G6fPlyW7p06WBf5zd8E6mJlbREAi8nCYwa7DylSua9Kt9wCPYQmdfndiisSrkSslRg76DOPGsqkelHfjeFqTwHK3nNDZ6M7lm5rciFxCYoTw4tR+wDTcXNvWmy5g3eJlcZOIsUXlTfv83yeyaoAnqBPdy63dZpOJ+nETo49TJwAwrCwM5ylo224S+DEsD/JvjgfPOb33QnPsWXWY+uM2OgRddscuK7UMs6bXuHktLnqSKzAEShJpNNeW2CDrr21BhJCiiRtjyhjQYBCcLA+3NkdtKfOBhTdR8bX1Rlv7j2Drvn/jtVHkPyUTbkKRVl9s8XfE5hXard0/mMVZZUypNGP2o6W0JEuq43Q4nSgDXATcV82aG5lfZw3SarKBzj4KlPU+Csgkor6VKVaIl8dd42XVPKJml7yJ+yHN2dNpXqUH4k4OPKuKj8062a4uZMtUO2bbWi3iJ79qgeO6pmgs8Ag9Oim9NwcBagGnHGN9qbkmz/ypDALpiVGLpHaRLkj0PiOp6/0GRQVx9gEgBMl8lFTE6YNPQq3w7P5071Q6ASDhBKgWtEdwXfQPonZvQgK3QC/oSvec1r7JZbbnHxwd4wMaO0zYknnujLQoZkPu8V0Ak3yvfyXAuLcdHkpXRh0QuGLr6N+0B1Dztq8vWVLIFRgx2EB5PjIywtZlgAHTAeWzUYwuz4emIDhFt8EGU1fERGailnnfvEOCvzsv4YSIMPTVQVd6Q9jO53jj2UwQA8oRy+973vDbJJ+AUVFZt9//vfs6dXPWUzDprlJiEaQIcGvCFT9NbWtfb444/buhVRPotxJc1u1pp93HR3Os7KGaOih1VAGGeUuhUaTuM7SmrJkkX+HaBT31pv+YXj/HuQe/QluiewMszEYLdQcig4oqryO5T/WIMIzBpF0cP98VNG0+jGlGkYqSOHDy1fzFJrVsQkKfUsig/lCbUdlCn3mwFkaNbTABDDOSXviQQSCby4EqBP8kIHoH/pt+gCdBqfATUf+tCHHOigxwIgpLTNkiVLXtyTTY6WSGA/SmDUYEdpLHwOFUEYDZ4aQNW35GGfY6Xjq21lUdoaFAm0rlxZluV7M7ZJheQ08E+ui8xOtXkhxDm6yrwY1VfGlRQGRPEAFO4rGPDB/rGSCD3MKpygXDH7v2ABA3aIPMBhj5kQygGA4uH0Ge3W3tFu73j32+yct71VnI5mkTgW6DQx+6vEnTW2N9oz23/hJTOeeOx6VyqV6YnOQj1d2+COgJvFuNx0Q6+VjznNTVWZ2xbYdy77tAuFABHK+Bw0d5pmqBTNy7EMAY7CAqo4R3ly3MCNSGPTYCTdLEtPqrYW5cx5WoJNlxVYd51MadrXxHbdMx2/vrTXWsUU9fIkAH76ZXrUdU0sqrSOLRt1M7mIAfsfsU3H5ZXanCkVtlVMXlq/l1dPcYUJ4OGahs6U+Tx0NugXkrREAokEXhIJMEGkP0am6Ijd4UQIcqAkRAjkgMVGz5JjJ0SEviQnnBw0kcA+lsCowY44F42zO3KVFH6jJgoh1jjVMpgzs/DZhSK1sqB3BAnwERmpwU5obuIDKdszI8F/pkqVw8mgvL9bADoU4iSi6utf/7pHSDHIA3zwjBk/bry9+93vlvWnTfV2Kqytq81aevK0Dn7bCtO+6Sa77eGfOCM1eWKVzZ8/32rGzHKfnaJcZcYR6Hh44322YsUKp5x/9KMf2eRcRX3JR4eWn68orOY+V0Al5bpmgZW6zhYrShdJ+tyBCNoMlQXYB7kRNhqSHLoZTmYqV2z46ojWSYk6a2/XPrQL2Kjuth6ZFHNd4WUCdsCTcSgW558qULFRMXXsEzqbe8K9QTHCevEbL0yW+8KEuL/vb7L/RAIHsgTos/TFYFYmXxd6AAaHeleXXHKJAx4auhp9QWAFOipseyDLJ7m2V44ERg12KuVLgj2kL0POuKIgeuSvQ3SPPEOsorzSsmfVWKuy7t5elVKny7KJTbL3qE1qkglEJpVKDbS0zVGJFeVwiYUfMzyWWayifym7e0ahts+2v08otFe9ap6dNmm+lRsb7QFiinf5Qt8IsQboPPHEE3b99dc7owOAo9VMyrOPfewCO3jefF1xlm2WD1JRutz6c/ttq9b5/U2f8zDxqrGP2mtfe6wtnKlQc1ut7DYrdP39+lwiL518m3XwU/bapd22+dlSgakb7Tc/3ihgQX0qRajJSVtuSjZ1zkE2EIr4dBRp61xVf5bHMPZAd1SWN5BQDtCTIhq5+tQ9bYKVzZxijzz6mGZ2GTa+vMAB44JmGLPq7c+kAAAgAElEQVR2m65chS1tfZGzuLNRkqfyIc1SjbPNXGCzXnKceoj9TUpbr0LSAXo1k+baEZOOs8aGRgdryCQo1UCbs/lI7fkwbaQtdvx9R5i9d9smaycSONAlEEBOmHgwEYHhYfL2+c9/3u68804XAekkCLp417ve5UCHhgk/aYkEDhQJjN57N5aEO7zhh6MB1j+rwTxQ3ZsZAwMiHS38pqmFANHIh+9T5JaoCGcJ6Hzsa968eVZWUObRQvu7cb4M4jAuFMCjJhTMCIwGsyCclD9wyaUOdPBd4jq5rjy9KPPwu9/9zmVwwQVvtgUzF7hJrqG7wVpV8LS9v922tmy17fqDnSlLlSmsu9rzWmxZ/az1NkeUCiDvLW8507MoNzY1WrfCvgvzgDJDWhxtBUMTGueDbw/2dyIrgq3emR2tyHki02yBHI/8D9vGSi7gTlniHFLCcoXIs7Vr1/phYIBCWD4yCveXmSMzw6QlEkgk8NJJwKMtpcNCX0QP0DdvvvlmjyTFbIV+Y/KG+fwDH/iAZ1ynsTxpiQQOFAmMmtlxj2M5gXTJXJOhiAiqNLGsTKFJA+IWDl5wlK3eut0e3breHVqrlEyBznd2m0KklRG5tGebyzL46MB1RA2XXLMHy4scXDwyudxnH5WqMzV20SJxOnJUpnzxizC1B8BQ3wrHYhomG0DCrFmz7C3nnOvLGruVWThHOW5Uo2dD10Z7csNf7Y93Xm6vf33aTj65xOYVrbQtXQ9Yaf9qqxGNjBmvoa7HxlX41jLIKX+QPlHqKqdP5iWZAXu7yA0iI2F2gV3yr5+xinEztAa14ZXsS9wNvjdaEc9vMTpSargKqTZZlmRPjmYA1Hbdg8MOO8J+e9L99pjKbFSItUGxTVwdOSZP6dimfEekjG8yJaLVfnH6SdnExgGbrE9ViqJrbOqwWrE7D/e1WfmkCh2u0lbe+rj9V/b3be5573YnaBQjjBGAKlRzR25JSySQSOClkwB6in7oQR6a4GDCItkp4eY0giCCu8ENN9yww4mGqNaX7uyTIycS2HcSGJlaGelYg4xC5JMTVsdEA3MwvnS8TZs2zVkQmAE6EOAFlmdPOhOdk07KtviIUCphxpgZDolyGehfhEbGYkxYNGZCnD+V1z/xiU/4si45K+MLw/W29ra6fZwSEjNnzpTJ7VX+vVF/hbmFVpGXY03U+mpVNuiKEqNu6oCAjmqcCsBFuXkuvvinDnRScugWirBOgUT3jdEf4el87hHt4gnUYvnvSgywX+OKxjm7xKwOYAKNHXxtYJrwKIfUgZDDzycgSMAXQKcgX8v075EH1vi25BGaO3euXXnllfbLX/7SnnzyST88v3G/Btm7XZ1UsjyRQCKBF0UCIdKSCRo+gpjkr7nmGs/KDiNLnwX4UG+QkHNAUXBWRkckLZHAgSKB0TM7XoxJRTEL0h59lCe6IQeGRzWWvBVk29IjllhHddoe+OlP7VY5xdIB8wq6nGE4YUPkvNxXnO/MQL0KVNIBV+WI0dBAvmq6Io5yx9tKDfqbZBa5uHK6XEiyTMFZomZFKslXCFZhaP0pOi1+JXsSTYCTcXA25j00GArOY/Xq1TvUhGEmhOmGHBQAHuvLtUyVF29Wpuc8rZ+fyrY/3PkH68i63Y5afILNnkq+mnVWPLDBQcCATFB4LXkJno4my5I5qruhy8aXKbOyzqWke5498Vf9RhRahy4yt9NedfKxtrGx36bLOKZSqG6+yxepBdZrjcEOIIhW4ulH5QjeGcXI5efJpCYwM3HpKTalIMfu7PqT6t4osWFPl8tt5tp+N02197ZF96Uz5czMxpwCK+ycZtntq62jXYCIIkF6e9WS423awfPt55cstF9W/VKmvUvtve99r5v4ADooykB/B9Nl8BtAefIK/gN87hKLxX1mGe+exiBuIUHl4AJ9YBlydFlq+xw5vIdtWS8sD/scum3yOZHAgSgB9GhgU+l/9AH6xNB8V+g5JjqPPvrooEkLszPrU+ATEATDA9hhW/pWwsweiE/LK/eaRs/sjCC79u4IzMybNs/e/OY325FHHukdjI5GVFWoOUXnosNShoHBEodXQAWAA1bnmGOOsbXyE6Eg3ZqNa5zQaGpq8Q5NZ/cBW+/YpunUdFSOMVILodO8A5jYBjDG8WFz3vKWt9g999zjnT8k0/qpQBsmrDDzCYqBYbpTf9i8OR9P3hX/cR4+mIex3KkUrb9doCNO3FdUUG533HGHZKBKDiWlCmuPbg/KC9DV3NnjQCdbtcL21JyeLfDV3NHsIGLRkYvs9NNPd5CG3Ngv1xnyCAUnY5bzOyyW++poHVnOiKP3aus05Mv9JAqNgqdf+9rXfMYYgA7+RUHxokDZJ+8hWivIg/MLSpV1KAnS1d1lHZ1RpXu+h1evgBHrIEcAVE72jj4F4X74CSYtkcArQAI88/RbGp/pt+jM0L/pW+hFdOLVV19tt956q/cffAPpn8uWLbO3vvWtg8WJATrBz4f+mrREAgeKBEbN7PTh6KEWukVGYD4JC1IrTRcLgCj7sPiMRXNPss1ja2xDZbVtmr7a7t2wwR6eX+j0al+tfFbUCbvEEAE4Vo3JczA06+gltuDkk21u3iSbM3+hffE9/2IfPv0cu/Knv7DpB89wiwuDNcCCzkn+GwZcPgcT2O5uFiUY6PisHyqTsz7MDmzFQw8RhyQTk8ALadJJ/IdJbjB5ntiOvn6FWcemoMaBOlu5+nEbN6lRYeZtuu7I/FUgfxdvvSWWoQG7vz/tyik3reWZykW0TWHoCi77+rLrbNt6mY9SdZ6rp/LIbJswP9NW1zYq43SGgAdxbjmedXSAY4sBi1rMpLmnsVp8Qwbk5FyWzlM6xkLFfQ1Y+7GFtlA1udrG3Oc+SDe1bXRfqjGFaVeSJa2ZLs8Mhc53dWVaZ53MaAPaWfBWbhHiae+2CrISFuW4smRG+JnPfMZD8f/jP/7DPvnJT/opBGaN6wxMC58D6AGwiJ/xdal8zKcM2eay9ErFqDA4sTujo2vrZ1+sF7+Go3X2H47nO05aIoEDWAL0pcCcorMG9ZKuGTDDMvohExEmJjT6B5FXCxcu9NBzdCeNiQjgiL7KO+slLZHAgSKBUYOdYHYYND8E6iIwGHrP0SBKY8A6qEK+I+dUWd/0xz0LcVdXqw+WA6moUGjO2EpneObOqfHlhxx9gkLMy62zvs6WLlpqqc9+1jsoDA/VxmceNmuQwmXWzwyGxoAdBtvd3SyOQQtUcGCJ7rrrLs97w6wJJQCIgs0h9BxwRKMQ5+TxkyOmIT4IAz6gaOYhxVZRUuG8zqCMkE0sHxQJ55sFRaP9l1VOkYmrKQJA8V3JE+PDrItz2LB6m/8WcgsRpBZEvbvrQxFm6xiUqCB7crH+Fk5daMVnjrfZs2fbgxsf8/PN7l/vjFRVfqmzbfmpOa4of/nXWwWcBHZwH5JoA1CRH7YzU/kl+X4/kBvM25e+9CUHr4AgGuv7dUp5BnOTgxwHfNqB0vjzXAxVrDBaQ81Zw69vcF0A0i7Aza6WD99X8j2RwMtZAqEvBMaTa+EzfY3JCxM/9Ncb3/jGHS6Tfkkl8wB06OssC6Z89gvoSVoigQNFAqMGO5kxkZCKP/TEZYez01FHGWiVT0ZetipIqeRSd9q6FW400SaYHVlhmWOvs9YZRbbwxBMtX+HNMDpF5RU+2JZU1CiOSCYsbdcu09C0dLVldQ3Y6WecqUrf5XbGhefah5Z9zL739cvctAI7QYfFCZdGZ8ekNRLgoVPjh0NIO41tqP5LluRQcZyBmtwT3//+923q1KmuTBjQJ0+erC1kWsmWqU68CaLok89Lf1e2pVVWoVgcTKHOnoE7C8aFiZLkBJvRnNPhA3Wqo0f28h6rqZlr//XDp23tOhIFqunCaw43W/yGfE/+tfE+hYf2UzhMhUL1lzkgu5JMQEVx9FoI8h7IiW5IUFN5ihBrFVDLFwM3XhmQYUrIpVMy7iA7btJMMT6n27MNW2zTqpvtYYWiVs+eaTOPPtomFs+LbPuXqQpyTq5k3y72jWTKPZYt/6rGJkXSVWW47DB34ayNXHCE/sIXvuCmx/e9730ORIMPQFDCXB7LaJwt8unPiHxwWKcPJiluYdug1AND9Bwgiq43gJuw3uAOkg+JBF4BEqDfBHMWejSAFvrLF7/4RZcAv/OdF3301FNPHZQMOm6orgwJBRPA8wp4eF4hlzhqsDOSnDJEoZonHlSJAQ2a+LQwPKVIQCiadYpMKoumL9LYninXW3xscgUf+Ive6/tarTyrVIMm7IsQUWa2LTp+ifuLfO+737Xf/va3DnYASGGgo6MyyDJTGWnwYzBlsAYsoSDWrVvnfjpr1qxxNoJBG/+TowUAyO+DIgkZSAFX6XRqcOAmsopt2B9giOvZWS6haMAWoyGwU1w8RTMwwkAH7I9/NKttoKKnmsQ2d+50mzphqsEyccxIGSmSDZuSynHsSeuJM6gW5UbrA3T4y1AxRBqc24yysZYrEMd5YaZbMH2Bllc5KLpYrM1PfqLszwI7NADfDySHoiKZsYRJAoWOgyPXjrMj+/nBD37gsiJvR8jtwfYwbmzDusw4e2T3DAAmS+fE8t01h4qSW5/ApINFzHnDZqHh+/Dlu9tv8lsigZejBIJ+G6rnAmjBRE9UKAw4EbH4/cH0LFLqDthY+ho6cjjQYRktATovxyciOeddSWC4y8Ou1tv1ckZ4vbI1O+clY5S/VL7JXxAP3YqTLqgX0yEsM7k1bVUywRT1K09ObZflPdlj1d15VqgSBcWdxTZeXi5lbQV2sKiKQ9pSdmhzqU3C3WWzIg5alU8mS87NSsZ35gfebjVL5nspBhL3MbPBuRkzEiCKNtLAyTrYrunUAB3WX7lypQMdZkF0eoAOlX/xQwmAigGb9VmnX3XHM3JVTVz7QhRpVTWvmXiItdYqn02dos4EG3g5raNBuTe7xV+denXntFpD79N6tSrLdLstOCYKJ3dVo5CtdPUGa7UHVTV+hU2cMdGyFdk26K0iOdiAwFSnIpn0SnNsvYAkvFole15NAhxZuXlW3Ztt5S2Sda0YnvYc0ylb1vpum7RBTse6L4fWjrHpq5UXSRzcBIXAD/TK/KYipB9524U2sL1JUV4im/Ra/qvf2Zr6LbZNJq2ndG8BLMgIZgyQh7nv0ksvtYsuusj+93//10PTMQeGxn3ihXJ2Z2UxXhS8AAAPfQG0uuWU1CV7He/iz3w9PHYIOGM7XqGxv6EKf+jnwZWSD4kEDlAJ0KdovIcgAZIGfvzjH/flAegwEWSiSD+l0QdpbBcSDzIBHIkR942SlkjgZSSB/c7sMIK5z44S3THew87k56qApmAWM3xm/ZAOHZAVsY0YMNFPDmLODtxCGLt8QzTyabsodHlezTxbvny5ffDV59h3vvMdByInnXTSIH0bon5Cx9/VPWGQDuHnhJO///3v944Oa4NTMskEib6aOHGiKwMYI8DUoGKQ2Yjz9oGaa9XMCUfnZ56ITF1ZFVn6TT9gV9JbYBsU3OmLSlPF1pYSWFLJhksuOdievHOCK6bq01fbRz/6Ubt3y03ypZHVb1y5XwKsDNmaoy/PmXuiBc//v6ykzDq6xEYpND4rT1EbyBQCDR1XluMFN2gAPRRgUJoAvULl+VkvMEjTrbNSmdY6ZYYkKk1VJqxY9w2AA6vDdQV/J/YDOOQ+fvnLX/b9IudgYgyKlPfMmMkBxvQI2CB3GCH2hZzZL+vBbPECYLofkpIuul9PDGz9JDlPrZ+0RAKvFAkEnRn6LX2OfgJTfd1117kY0Fn0Kfr0GWec4fl08G2EfQ4Ozewn9J3wOeiqV4osk+s8sCUwerCTHTkfB+NDVPnqOaH1pTQ452b5wMWAmqvSB2HATmdrvq5cMxBAqgKlJHrKLaOZxrhS5a4JnJPvPsr7YHka3hS2k52VY1UCDlVj59jnfvp1H1Av+don7VM5n7Jzjz3TD55S7adUty4vcvqx9WPU6eOTxJQ2VpXIUxo4B7pK9cq2FQr5/tS7Pqhtmh0AtGWn5evSZlf891WWXyx/HjFN7hwslophtiGnzUFMdmOnm7qKdai6liYrL6u2gybNsT/fNdfufrLGKmvKhNd6bGzqWgca41sbXalUAjaU98YGtH0HDsCP+e+XXxdFb221N+g4q+yZvxxt2ZvTdsprThXrpaSF2zOsYoyknHpGTJKYnVTkkI2MaPkDzyfrCjyzc5SUkKzVXEZQbChAHBmbdOyccZXWKzpuoF9MkEikft2Lht5mS5cWWIMUZEevmKwu5TXqKbSJ8j1CWW4uVjZoZbnO2q4M0tje5ARdpPuzUe/vWfZJJZUsc7B4x/Kr7U1vepMtff/5VjNlotVrzX49D3ghcf/xOdrUUmtPPnOn+0qt2/yEg6jW1mYHkBUlkxxw1ow71Gpqamz65LlWmp1nVdlUge9UBulCPVu5lm7UTcZsSpRarqLJiqOZa66jZmHOHs7RrF5mVVoEIf1j0nYmgZ4ofUMnNUW8KUpHf3nyTfMGYpeoO7PpwQLAot36O8UMdGRY1eouRUzK3Ck2MbNcK6nPpjJS1tWsCty661l92mcKhlJpNYu7HbwqHtP3n6+M5LS+rOgOMQCHF8uHDsy+4gHaYItp8uP3lqEEpBG/GX3Pzs63/r4e5fhS8lXUSJbui7a56KLz7A9/+L25J6ImDtlVJd4Pn121JWK+H2mwwkmKwmL/2m5jKXpaWdDjfjImk54JAx/nxYiPz/1G9h49OWxi4fcnPt8AwqKzTP5PJPDSSyDWWC/OiQydPeyrIx53xHHWcWmHfeOr33B/kvFdUU6ebIV2+yhKIUthA4AO6lP5QZWUUOwACfBQAulSZw4uuOACa+qWSYrVswsV5t1ubz37rc7u5AqsDTboG2ZBriW0rgbzrg6chaMZVLcGA/xecNSlAOgRC0ocDOWmMWflWVahBg8l9DMIkyYN8VSOAJ/wrn3IA8hNNm39bc6MPPZYg0eBjR8fRYCF5GH9vZ2WpcF+fxMZUNrMBGmACpyyYV2YEcKmyWjov+2qnX/++Q5arv3Pn9tVV11l7VOq7KyzzrLGgixnaIqVVXq7nLTvX3G7/f3vf7c1G+53s1hvZrP7QgHGmKU21T3j0W+P5220KVOm2KFzttuMGTOsYnK1sz2dSsJIfh4F0EtDx4+1Cqh6Bsek7T8JyNzpwFKtubnFinIDVxhV0YZR0E0Uk6gs3Uo4mqHUCT4Q0n0CLtdzoLzq1t0vEKRlEXOp/QpMm4IRkvacBILeCUCju0vJT/X8I8/url4xOK0ewfnkyoelu5SvTMBSno7Oep9wwgn2jbu+HckfoEPDRUCbSyP6V4UheC4vzMheOmaogtFnTMm0AHZCoIEvTFoigX9gCex3sBMQ/vB3ZLIv0H/uxu32tkWvs8n/Vu3hzudd/mX7/JjP21mHL5azb4Olx8M3ZNtK9ep2/U3VZ0BHV4ZYCjEr7U099pvf/MbuG9gq7ayBsq3TcIq+5J0XeVXgjIp8sI37wWA0KuqMOnup3iI9kG2pPrFVmtaWiLUCFswYM85OPvZs++EPf2g3/flZW7p0qXWPPca2WoMYp04rLy636nG5Dmgy+pSxWOCqTls2tDVYb8F0Dw/fuLnabrnlFsvqP8qOP/p1Vi0CByBWkpZToY7Vr6rnmQJR+7uhVAFrsDg0gMs3vvENN7FhwqL8qbcw84unoOFrjsDixXJSfu/Z73R5fP3735JpbJNd9PF/tnIBnb92P2p/X/F3y/ztzdYgX6m33K8CqGKUTtjU4SCmVz5YtIeqxU7pXK6bvtUKH33c7tr6jK1bOcFKT3mDMz0DAn5dMinmypcpnS8lDc2ggViu2DucniNetYiPjD4n/+9aAn0xA5aO5eYIhUGPiYRaFoEGYmHSwjQTlB2zS4Kt72qytoocu2uGKt1NSVnbuJTPObglPEU9AqNsDqgvUX277FSm3OHzLZ2pKD8PYOi3NWLzUuUlNnVkS210Igfo/0HsPr2S3LNAGWoU46FlZKn0iz43tXdZYYGqmW+stVvv+5t1tcY+OVpnhvrH685/m/Wqv62ShEnk2S2s09mtUPMynJR1V3Uf0MfTO4V8pBulrHSjxAZPi/zr/GBqQ/NihWXJeyKBl4ME9jvY2d9CKCLdsNriRYs9CeD7Lv+afepTn7Lud19s58hsoiIInl+mTX+b2zfbU/c84bVgDikY6+zL7dc/4GGYBm1L/QkplIXHLLZvfvObziyIjd+xYV8D/aj57ErlH7JkE6ceKq1Du8A6tXjuYlv/6vV27S3/4maY4uN7rXpMtZUVlzkr1NDZ4L5CvQJPxcWae2kAqCyoFOiR8apxld1559PK3LzR3nXWKbZgzgIv+ulBErpjHD5LzAr5eeIJWXTw/fA/EWg4G1922WVu7oLdoSYWyQNhnoQuRjwqJswxigb5F4XAPp3d5bmK2oVHzj33XLvuweu8kvxEvQKwYr+Zuh+wOj2EuitjdIhGwzEcMERuIBiggr60HX/88TZ7vny/9Nfb22UtDT1WRPgeoMeH2KTtLwn0akAkCeSA7lUUxaN0CAK4jXK65z5xT3EvV9yctfRqAE6V+PdewVDqsOWn0soM3motPf1WXFTsE5OmzibrEgMUFaXdX2f+8tkvaiYwOvEMK+ZXIl+7trYOAZ0827Bxq6eACP6E6cJsO3TCTNdvh516hl8wfnMw2U0t7VZSpD6ihtvcgO6j3z8lSA0ugfjDDQwxi7u+G64PXz5iTM70FS6B/Q52hjI64XOgYPcFs2Oq4WTq7CmFpJ9w6BL76NeqItDzg09at/wFTpxa5AzJiltv9s68tHu2Fev9j+0PCfT8xP7y51ujR2CmOn69QIc688nnnql1uyyrqNTZHHAMM1PmUkU50eCeqZlspmZZvSrhkFJl8EyBHHBQPqBEn4sLJ9s/Lb3QWtufscdWPGY/WL1SUV1z7YgjFnomYDksWNkYlcPQXOlp26YaUVHW5wfu26KSEWuV5G+2/dPrzrJXH/sGuR3Jr0j7VJJjMUEavnWaWTmVcmqWz06E9fbbY4wzMsVMuWfhFfJ5IE+5GEfHDphHtapogxBIyKxEzsldGsByBVQ++9XP2+WXX26//dVvrLOh3s5dt8o2KJN24dpNbtY6vClyTB4rk1SKhIvyNRroabGxa1p1pEybtll5iHQuDU80OPhaJp+pMdyTyeOtprRGTJyqtDerivyA0uaLaXtei0Fpwuw8TzI7XaDsK75cbjjeuK8Deu5zcLJS61bAQaooz9rUfTZv22p9hQWWnyHwn8oQe9BntxdvtNyWu21sc4abQ8eWj43MjmVFniy0XU/3gEy8JS3qE5oxFMnnpMjGWGkA95mvbGqnT/oIMicVR1vZIPiIbkirUjC0C1Ru3NZg7xGDevv110Q3Rtt0y+H/3Ms/Z7NOOsP+Jh3zwNMP2N8qan0SV7juDz7Zy93W6Rnhq7OnSPUJkKpjYKoqn4iPlCZpO8jfQwK84fpHG8yYz2e9YuIp+jFeNvgl+ZBI4CWUwH4HOzu7tn0CcuIdtypUCTOL2yVkazpyyiy74oor7KtfuMTDLt9w6AR3yOtX3St8Px7aGplHNmflOcPDtIbO318PnBHQOfuf7JILLzFFhZPl0PqyVYlcHZtw5zCAD0jxZPgsR+qBCCc1SCGCziAUdBiHAOX5ZWKXzrG/Tvir3XbParv22mvtwYfy3edkbEWlR46lcnv+P3vfASBXdZ19pred7UXaVVlpd9U7EggkQPRujLFxA0PcErckzo8dl2A7ThwSl8SxHTu2EwM2xMbGxtgYbIooQiAJISSh3ssWaXubnd2p//ed++5qWNRACCQzZzWamTevnvfuued8p2m20v7mbk15b250aZuMi8+9VC4840IIfqPNsFyRChNMAnHARwEoAh4oB47M0XM4GcQsD7queM8UyQHx/BiLQWWDeXNHow7wvQzWpBcX0IW6H2HEHjE1nUoSY3RaW1t1v0W4DzwGFSgqMyrKCWE5KBqD2klW4aL1ynWJNG3cuFEGVq2SokuKpNA1SooL4fNDV/k8nXwO+KHo0N2RhPuwuqIayGRC9vXuk7V7tiiyw7g1ZheWticViStE+xhW7fWMGaUV0i+ZcpZMnzAdmjwGD0G4Lmjy0Orh2VLgMk9m3HNsGGTFqBtW7fBi3JQWReXfb/+GLHviCWWXB7F06Z5era3DLMj7H79ffrf/BUWS98VaNOYusaNRE0bGo4YZY9+mTz5Dxo4dKzUF4+FQRCkLyBvYcUq58nrYeHUEjzVc8/cpz4FTnQMnXdkZHhzOpJXLkNdD6UmPR6p2f49MpGDEvMs43/pImbxv0hQZ39Yhb1+zTYXurB3dOqkWpsrwvVsequqXXdu2InbASNSKNkzixWGZiWl4wwP3SRYBfXQ5qVKD7f2YrGnjIjkbhfCSUso5nsiBxi4g0wyZZG7I6wDm5AIIalo8RIWrvLPl+rNnyqSx82TZsmWyGZPA+gMZeWZwSA4e3I4IhWapQWHF0nA93F1TZMmsxVrAcEr1NIWu3WiEGQJy5PXAtUMVAOfhDZmp36NumpOr7tiaOEynt1WqbU0OupZQGtDcUsJapBwEgF/LqipVoRHUCAojfZ4BkEnAU9NhTTauXy9TXtyiymYRllP4lsJ9lQXz3OBrFuga45Mo3n3I6gNcI2NSqFYNBafKhPLIzA4Ebnfskr3Vq6VtbI1UTzXtP/y4NxlMwj5GvOaemP3qLM2/HYMDJhlLOjmwQLQpaL2XmxqTuK8YdsiY2xJC9XP8NbesQXHMB2XSIxvlAig3N+H56OtrkkkdNAiQcYUyEkQGt02p0LpYK2asE+/ixTJ4/kUSDoURd8XCkqhjhSN5Obbe2sDO8M2hrFR5mXJMLq3LAXkE99+ePXvk/j88gIECZiWfRzEAACAASURBVBERi/XKopkT5MMf/pDsvf83akRdvG6vJhSc0zqo8XdDnkHpQkzjmjlVMLqWyx/nrVClZ+qiK2XWpFnA22Dk4VBJHS9wVTqYjp0wrOw+krJjTaBhhHf4SvIf8hx4czhw0pWdkZc1bKGM/OE1fh+Az0hLo7PwC1K4Y0Ai/vSnP8mDKGY3ffp0tWYIn3d1sRs66jRn3HKw56C04N1SJOwFHJ9S4ct1H3nkEYnj8wVLLhheh4M6DWHDGBItWmhhZawxwHYM8JmTmHwCwEUnBMojJKdrdsOUMVNkxntnyL7kftmwYQNgZ0TnQHHxRHp0EqgsnKKVoMd752pEAy039C6maqX7peurB6nt5YWVuN6QDGKyZ9jOySZbIVkVFhDjMYhEkVfG0jz6Gei1AdkhAhRHGnPMl5Sdu3YqD4gYkajsZKHVaI0d1FIi/4DOC+InBWV9DFGnQyBsJoWu9BC+DHF1I92WCiyVWXasZxzPhIZelAEoFGQ4Q/Zz45OrDB796v/8f80CxnTjWUAZUVm6aaks/82vpampSSq6BnRSTaJVDFuKpNOm59oQshx5v4jy8Dna5O7WLLva5latATO+eKIyLQYll/pzPhdrxDNEhQeyyCobe/fu0di33RvW6oolVaX628KFCxW5XrFihdbFYtzg/v37pTsOTBWMdcHNyB5/XJcykuUeOH72wN1I1HZJ3blSgpgfq8zYUcT311uGj7jC/Nc8B04KB066ssPBYgcmr8C6IfjZBjDys612nLs+fz9WaqMXNV0SUARaQxmJFHvkmV/dJaufekpubUNllUc3y7s39SMtOYEMHbiD+gNy/2CL7JcO6QJakvCmpB5C1QtF5wuYPmcnqmVTY0y6XmqU31aj7vGYiJxff4F0xXtldAEK9WDdvYghCfsLUb0XdXpghSYwjXuR4pnWijFwYyEjQsmxSL2ZCGwkBNWySzhoiq9GpsxdCBXGsB4Ve3S5V0wqqDbYBNloE7dj3mZdAxIoRL0izRWFwIGCx5RSdLsxGxzj/9x7kLsqlRm6g/g7FRnym0oHXVT8jZD3ZZddpo0EWamaExQVCwZCsr4RVA6zO1uHhf4HkNXD/E6MU2O8XUpDaOia7pEXX3pB0vsRp4NU5QrULWLtohAhHFCE1++8aNjbq9NfIWkHAkbsDnm4pE+u6EAmSk9cHjnQJd3LV0v6zAvFx8BL1oHBqfidJ9zGElAJIjkhJ85dMMvy/x+GA4y8h8bJhPIEPhbbG8I+Hci864nABYyItg1rl8pSIDrzlm+RKXiePvhMl4710Qmj0BprhPs3z8fkPoVEpdo/FojhXnk+kpVHu3bL3Bs+INNGT0MlchTjVIPiMHFXhznN03XRkZARez3U14mqJFHegjLSjWKahIyTUFbIyQ9+/COyeyMUHXYGhvHkauqUiWOKZQF4vwFurbueoXv+oARQk4sU0OhDkpFXi3ZDLmHd94cLdezfgzpeQ1t2yl1/1S5XzL5CproiauBlBhMSDZmyAoOIpwujphUNGa3r45CaFs7zkTcxhtmS/3CKcOCkKzsn+zqHAAH4EBSbSAzK1q271UKhRckJW2NMIDCZ9ZEciEl8oAdOIxFE6kiiz8Hn8bmuukDq+mp08Pb2IvsHQoNtJP7whz/IzFtmqyKQRM0WzXJwavhZxIMFA0kZ1HkhZVNGiLsZ5AOysSbD73SLcbmTop2FS4w0LPSSL1de3BA0+jvbQ4CSTk8rCyx5UFDsRIgTCoUoFUtaeLxGKjpcRguPdX2YYk6Im24rzZACsrVlyxaFwf0lqPVDLSRlriuZNMB1gpMhKISASipIbHVBHvihnLJnTxbHs9VbT+T8uS3vD+81EQTet8po5UnPUjvRcz5ttsekaolF0EnOI6x6C5u2rlu3TmNziOjUA+mxbk66q17ZG84oO9aIoeLM+0eUb+fOnZJF09uKyyqAcKJi+bBKetpw63U/USo6cdTlKmFrGqdaeBzyzYcq9L9CO5ZNQG4IgQVQj2gIPJwysVLmzJmjLVqOZSjqyTJGDn8c/ySOVd7HTdiexs/E8UskhPjGQcgpKj1eZEba/R5LUXvdmZHfYZ4DJ8CB017ZGc02CNAvlka75adbfy8lm5+VcRiwV+zq1YkbuAuKblXIr6sxQe86IP8E44Q6EN3bpPPwmg+F6RzE0KT7OsU/6NFJ+LG2FmnrbJVdl26XOVPniC+BvBQMeoqEgcSAtGDwe9Cpu8htMAyPo7x4/cRbQOj9RfKjjo6+W6zDOrOt6ePGxExyzmcYynAAEwZQk7KsfaFk9ptxusz7kIV2IsSJicKLys3InmJcZmN2OHHxdwpFvqhQMtDUVlwVp8u9GxY5yeBYkMO4Tm/WA0sdGTp69kgb37tTxqEeSBTKVI0Te2MtfsuWPiBopLSjNPkd/hQ4kEzU6YtV19ilis5SWL7Z1oPS2tMu49EPo8jlFLezfHUQJwtE2eOcCO/eCtt2OUBliSmzZC4ZPG0qSgFx8Mje9AH5/cYnpOJXT8i5GG8f2mTcsmOAJHiTGBtMWwQ1Yn1Sr/MYVzsAw+VbkLlYGEFvvP14BptlL5BQD6oCF1x6regzjhpWpzKd6IR/JMTVXjOlRwTGF5EVNxspY9wFIgXyg3vulu985zuQMyh9gUDvxO79qN4elo/Om6uxdfVtnSZGymtuXMplkByISyUbS1OQHFSRU+7UzmjoapFMR5NsWJmQtu5GablhuoyrHIc6Vmgng7YzftT5IqKnBSIxiKwqnB9Pp/JTmj83csBOqactN4jqkvpRCHDr1q3qdrGuMiIUiqjgnYoPixZT0WEsAF3fzGxmxjn92VnEk1B4cxtVkrAiJ3jWhGnpbNGMExIZRgUgDIEcgqJDq+hwf2r+6gsbHO1FDeBoL2c/hzuGLsPvJ/LSi+IpYj8WrTLuA/IJdjlezOjItRL5O/n0MnLOkzJTX/iRWWxsKDq8XywdQPd08pWIkWbRnSDxfpMsOsX7pr3IyHNba/8Ej/FW31z1RfLTvmPscKzw+WMm3ObNmzXWjffUNshF9zKgfUAd7fPLZ+EwrwAC+zXmDkQlmnElL774onTC8HglKuScw1vsjXxQlJoZDyDGz7Go5zbwiZRmViloyZIlGktHhJNjzoYG6I9HI95PGDbchqg2ZQFR27179yqCy/EUYPHCHFljEeGj7Tb/W54DpxIHTntkhzgKjfyDu1bLUPsOuW5nk0Kx7kQK6ZNB2Ti6QVGI/wAqQReWVGAihsy4EfIBxUHl5iJUukFtF8YdeBDQMS6OasEouT5jj0tGD3nlhQltsrNnH9Ac+K0xyVcz/gYT7I4x8I8zzqXb2DZZt4PoOG4pe5Nd6DNFcjlIj4cSH+R2IPps0gj6rNOLJu0x0EUGqJFux7QkUta5VXa5kwXlJGmbdV7D/9aypDuB12eDFa3yQ3cgJzGmD1MY8jOXEf2icpkJmlTxAiBfpJijfXpSRo8uYvYYttvUe1CVyI7d2yTdH5OCjj7UauG1Wjec4aO1FKOOO8zlKJkW+ko76jm6DygVIt6H4M9QEGXqsKw1OASlNiko2ou5AR2gHRsWSe1mA2fSDtgDmaX5/4/AAbJbXbVEWMgzIm7wZ/WAnz34a358mQR3N8nb9w9JMXrJjW1tg+GA+4qeV+hegNUNlFPRa55nt6OAouKC0ljev65+mRRHawMowSsw9nZtXC//171OFkQXyLnD0V9HOME/88V8zImohgocpBIIy/d++AMZAoKp+eGM4Md4/Mi1aIIcQvzd8mdlMRSeyo3bpL6yUEIoskmyrcxaLOTq8K0eWXI0/ErhKmNSxKW7TAhAawQJHe2D8mLtepk5d47UwDXspysN66YgcAOQldrEl9VOSc54cr6psZOnPAdOJQ6c9soOmRmPZ7QKLyduWiiMK2HDQX3HRLuxD6nJpnq6wW8x71EEs6hWonGHTuB0QyUBCXObkD+kFg7h4BdeeEFjVyLtEbVeq1Cxl8fYU4y6zLC2xrlMvsiRlB3B+qTXquy4YVEpnSRlxyo1VHLYNoPxNKy3wWvWruRAduiuWrlypSo5fJGeQPAj22n4iw20RmWH+xpAQLXuk3mroAR4RmtzU6BdY39CyMah5UkeMibgRCkSMhWVqajx3lkieudmgUPjPTnRw7yltyeCM+yvII8RlMplLR0tmtbMe8kxpJlxQEg5aTK+hy2zHG/jEfmnuie2c4VMQDwVHqIKzUCLZo2ddcTtTpUf+KyfTCLaxXFolYof/OAH8u1vf1uDkcF4aDEDcjPqiV0+qlIeffRRzXJjR3MNKIcxcayETXT7ULiaWaqWOOYpSzmeGEfFLK2ayahQ7grgzgLnoet7uDHsybz6/L7zHHj9OHDaKzt7cQWxQreE1m+WaX2DcsnGgwgmhr8ZDScpNL8R6hYmZWLqVq5FGtE7CfrHbfg8bgeCcmFpRpIxgS6jLq5yVIKhgjQXRdBcrpRUnDdTiuur5cwLF6sAWNwU1HoVK6rY0gCKwAEjTpJ+E4Qw5DNulYTH2DaZrEFmXE4As5elkEHMq9L3BOrEgNI+k7WS8pn9ZFEBWH9PAYoCsdM4KZAxlppXuwzh2tEP6kSIgovXS15Rubv88ss1Bd7G71CY0803Y8YMjRFg4COXMaCU2/ztxz+l30MJc74DLDYECjqWexQCmb9vLujW5f7eDnnsscekKNMnsa5utI1wJguLeDnpHC5nlrQPqMdZbfjd0WtiqDkUR0npTj9aRESDEq8IA2+w3EGq/EgEx2HXcNztIRl/Imz8s922CPexiCidgwg0AbFB1ScgZgPStXO31G+HuwnjoKEH9wEKMuPYiBS0qnsY8W39ZsPKuGF0NdoUKDn3RW8jgu6nI1My25eUM9t9qjSteGGvjFoExdqGqv2Zcti6jI90eW6TjiWDUGIeeughue1LX5EYqlZLGPxEcsKoOdPkbz/9SdmCsRlC/M00CLcYUNgJ6POXADKzyQkJnNZmjlBPX34O9aI0gLqZcT94LkUsEAkD4brtSbgXE/LI+G5pPNgi0xsmD7vt7eZpKGLsjUYaOcxOrgr48mvIf8tz4Hg4cNorO7xIDjdm4WimEBQdClBaiIMoAbpxG9wv+M74mngGFZEx2U2aNEHGbUAGTwq9lShMMTJpsFI4e4BIUJjQ9UWlhgoA93Xp+ZdqVlflQayPHc4tBtqDgOUSx3tligsCSHCbWT7hALlZLcN2SBh4neXDyk7a/J52lKOUkxqKcni6nduZZfwWoRip2zheLl35NRAVESpxdFMR0WHH9rPPPlutSfKTE5m1LpmdRoRHLU0Q+2YtWbREP7M9Aynh5HbbgGK9XNyTMVEj/iK4PmbvBIMHhuvs6IavkTjBDrGLPIixH0SReJ94WNYryqdlvUbG5m5GBMEhnZwx4MhbjjlbSZuIH58TF+EcFLpjKBWVHusmtRV/hwNynT4DquPiGSM6xH5x3AefSdaIIUrx567sHAsZ8qJ2wgDcg2E814zTIQJLhLQjbkpW3HLLLaoccvzSQKHiwnGb6aRb6tgUj9P4gwxIAbNx0FG+8zabdzj4IQN5n0Oo78Vl9h7yeB4ETecpz4HTgQNvurJjLRs76ZJpwwIS0tIGxlqhMFI4NGA+Y226NRNGS3sUE3RoguyL75PfFITRUVvQd8oEUkYzA6hk45fvAlGp24uDhHeJB5lAmUHtJywlUBpo4PQEkF8EeT0+BYsHaej91TWyBRG3aSAzlOMSYVMsIDqeNtS5gaYTm6SaDGS0UgaWEueGMOtaqFvFSTtxetoM+kr1eAccJWiMjcFxlBgfOp6/nMwPwyizMaQOrTJS+Rmx9fF8tTylgsf7QWWGEDgFJ+8Fg4CpRHAZ7weFHN9NcDDSUmFRppF2xW2pZnC7oQyrTsP+BxIViAb0qvoG+yQVLJOK6hlyRz3Sz+sq5L17N+lEx/I5FNJBpLBj18hig4WJbewDysvkvJiCu5HrJzAhptCp+bbFpQrbFyPzZ2J0nFx00Cd1CMbqQ0wUE597nXlaA2ZBYUeppFVsyCx3vuTfRnAggWffz7iQXgymIHMKcV8RXxYBb7t6mpGEh5gbfM4O9WJ8wXnijqL2Y48MAJBkq7lCpCobMgppN6pgk7YawFIimLPdiHcbh4KZ4yPFEj7Ypfd3CDWwvIin4/NnX7mnNqw0YSGfNztR89mlwsRnlJ9teQOuYxUpRTJAVrbk7nfkZ7YRJuEJ1ffcXlD8zoa1JEgIfQd39B1FFvQ9SPc5WeA8hylUh9bfcc1UALNuIzjgfDfKORT3oI9oMa5pCAz0VkkIcu1zf/3X8FjFZDTNnw7EvqFC+Nd/+EM5+5ab5aWBHdJ0sBPeRRhfrUkJD6H6VRlaqfSngLAZ/k913OBW6ez1GUFSASTHjQxU+NlxzKzs9fTjnNCjjFXMB1HAE7xkPB/dlCQqtdEw7jOeiyCrmtqYHf01T3kOnLoceNOVnRNhDSdpBhszqYeDkkhMZ7xTJpVOludf2IQJj8P3EKBagl5VBbA4uW7GQWTciD/IoKBdGpMrrUyWuaHiwomXAtWmWIesksFsHwjSRBgpn5RgDszO2n9ZbIe4aNVxQoyapdbj1J+x15l7Pidy7W/ktlR0aD3SdWWVU05INpuKgeBkTxpNA32Ata1AZdVnOylR0YkEUYIea9JN9uKmDVo5ly4yKlGMW2WGVwDKCBE5it4AJqVB3AydK6gB4X5knRR/7pfdtnkOFMD+giLtBcR+SyTWBGGMQZ5OjANe6+8j/0H2ftrn2BopfpaXpEtDFV6UewDrsxwQjhFwpLPAkDUoAhqBxmJ9ki0NaywXFRU2iE1NmKqb2jgSux+roHOc8lmkApNrGHEZFR0+t1Zx5zuXcz1VzLHNSONp5HmmoHSRsk4MmnVHM3aFlIFSrXLIaZiZctyxaafOVpCIJ+weyhWKA0/UaD0YGbo9g78TqQSqfqMfGP7SroTEUdoihMKlbtTSaUUM3de//nX57X33STeMkVLIHBpZ37/n53L11VfDmINRAHnEOljM0uJ18fpa25GgcRzSXRUuXgvqJTHryt5P3m7Lc76Tj17sMJfvPH/rxtKLyVOeA6cwB45jOLy5Z58rjA73OQOhCoRVagvHaDDdpllT5DEE1P1mPM4bCo2rCwMYY/mjSIGuQ72XJZg6XcjWIlLihRxqjZjAytIYVsaE2w+O8LdYBE0+IejPGPAhIwQNJmGQMXkoCRSBgiCCzsykTiAXQXRt1nIgeFm8ABiC/o5+6PqOPgfmOzUpTNSVmKhPB6IiQTceyU5CFK58MWB7CLU3QmjbQBFOwUlVh0QhyFocXgQJZ6CRDsUGpDiIjuX4bebU6TJpYp3s371HtqHitAuNH0ugJfL+VpDJQBJCQxDBw4oOd44jQJDHkY5FF0oCsUGcuOLBsEL7daPHysRZ8ySCStk6ETMhCGnNjkFt78Kw6uuyCI+ebZ6OxAEnyc5MnHhk6a4kV6m0Br1R6UdPFOB8qBAelAE80yUoLYBQcakD2spY9h4gBaSky9TbsSFm9U5h5WIYHyzCCxxGn58Y+tNlQx7ZNdgjDzz/jGz95RrdfiTCY2WBnZD5nROyRXOYKbh06VJVeNiuhM8Kn2Wr7Fgl6UjXbZentFI3ztGJuXM5CK3L0eIyTmXiDJ93nEMaCJB5N7F8FZl2VRrS6dFqZMUyrTp2Mnj+eC5R73Q1rAYQy0blq6rcFO0c6kbddbhl13SulDvuuEN8g6jcDmStny7hitHS29Up3/32f0gz2s9zHE7f36xZqF1AbKKlRRLci6arPq8s2eMEtznIE9UzklP+S3aiKjsVpKhTRymSQP4izqslYhrzBnB/wz7INwTyZND4L1eh5HXS4CBxXOe6zXI/6wp5ynPgTebAKa/sWP4cTtGxv2Gsyrhx4zQVmtbbU+370YESv1J/wW/FJS4Z1zVK2MzS3YSFcGEwnoAjlILmkOA0riwaZxSaFhJnLAvDVCCjgPQYYeEKDkg4EJZCuGhInfiN58GUaCpDXhxY0QguJDkWn/li/ucp5MLxub+9UZ9z+Xq4Y9rfibpcfPHFWgOFFjcFJD+zx9WsWbNUIOq6uCgb62MnqARSkbk9LUeITIkGojJ16lQNdraIXAAWLWM0EuhJUFhIFXEINXlYzwhnBXmdxj2jQKVFzD8KZO6TsQSsA8T4oTFjxuglJFHfxYN4Kh7PFNU/3JXll70qDuiAMdY+676Qt0T8BjFBq/sRCrFO8mhopr/j+VAvrtU2j3AwhusHoE8QJXUj3ov3lcoAUVoTdwd3T44raxhZcsYTkUEei9tQmeEzYREbrsvniy8Sz5NkXV56vs6yI5welDir7JhtRyo7LscNdUjZMQH5dEqRunu79Zq8XjjRca5hKOc8rgsKPb/3HBhUBYIKGc+/uXmrXnth4Wh1H/3kRz8ZPrUBKDoNlWPlYx/7mOxHcgD3Q/cSt2ccD5U97pOk/+t1H59RZfmaqzySN5SBvM/cr9/lB7pjbqhdb9h6GD7L/Ic8B05NDpzyys7Iydh+H56EO+NwfXhk/txF8vQTK+WrWzabblNNhuEfwXhvaMvKjS60LDiwC9lXXSwAKijrocqLB80lXYCcQ4ThAVW3BVCtFMJzVTX6LkNwVlaUSHlZkfRSZsBdFnOER6AbPbQAu6dKEaSJ5pRxXxT4TxGmANPjqsuFWBb8jYYfnfNEFEiFHhiQNRWCIIKlSVnA16cy0TJmbA6FKhs13nnnnep+IlHR2b4RWXD1k8SF+ApFdXCZKdQkCjhoENmWhdAsKyiW/oF+dGxHe1Osdsa0mdIyf6/c1b1GhfTUvR3ge1Cu2BeTAxDec/vSwMagKOIeJTBxHESZbArc1WNKVMhvrYjq9z50uJ9z5rky45wLcA6VOAZq6/jDUoSUfda0s0UnLY+14CDPyVlwyg8Ae+Jv0vsQfTCgINP4wbsgoFSmlbtcBTKqEuhcFWLlEKjchOq9nDCrBvAUcMJFTApdv6EhW/PBuQAHaEB5JiU342cw3lqdSXpLAWOEPLifi+TKy6+Wd1zf8JoMgmeeeUaVpS9/+cuqCLxWsriIVRksoqMaeA5BLdBv6Oan7/b5SjtZk8lsgT73MJfwG1Ao8JXKRKGb/BMZ5ZxiTBMj4JpFqN9tt/2L0VUgk0J4lon0fOUH35JrrrlGmntjUoXrcsNNTqVo9a9/Jk3IbnwJvcoSiZhMdYdh08FFhuw5UhNaA5IqzO2UYmqZIG/MXEchITzcvw70v0pjfD0wwQQjFwSBjJWWIVyLFaugoEEhTcLwYJyWK9eYM7s7TtXKWTn/lufAG8iB00rWj1R0lE8MDgCaM6N8hlb7rIaCAbGLH4y4oQypKq6QQsDvnLRp6wAlH0Zq1MrCIHc7PadoBVprjxbi7NmzZUzlGIi2LJpYDkpjrEtaWlqk+/m1mnq9L71eLclodR2yvCZJTe0sKcbEDrsUuhGKcCGQT60mWqK2S94beINfj0PZHllEzyyMzf3SfUQ0xrq5rHV4JGvZ8BmQPv4qiirkvPPOEzdg+rVr16rCw0DjEBq6MvagD3yLgo+A0vRuGuvYBEwTvbPB0kSVzjnnHK2ZxOMmhkxtJd5+zqN20nk9+PBW3AfvlVYy5sRGFMRBahhfUlNTI/vQOZvjgagEUQBGfqhQMcDGsVmGfXJyJenzgePwnShdDf54T/k995VrAHE5v9sXnxOOYWYQ8TmyWWIco0R/+M5tuA7Xzd3X4U6WiI0hB9F1lGUbs5NykCFmiJOSWYP0soo4yYPSCvyjgohHUzp7W5wMT7/WrzqIlPBSlOqCJ0qf1yIoOo2NzfKlz31L7rrnLmiZ3DCJ/lgi3//+N+T6d1yv+60qM0aSD652Ii90MVseKJIFRc+FBsfHIrKetxbM0FUtP+x4Y2d0vjyQj+ZKTP0eH4wPLSqYpzwHThMOnDbKzkhFZ1hIeWGqIKBv5aqN0r9so/SGxiAbq1uCmCRHV0XlE/1xKUEGqz/ULOwozuEPVzZ6YCGzBCiLC6gMB7Jky/FLRraFYS1h9K+YXqvukUnn1coWCPt+eUJe2vmSvPjQT9WNMxGxKnSLDUV2S7w/K9s7PLJ2I03ZaTJ+/Hg5a/7NsmDCAkn4KjFZU1j78QLCw0ahFIwoYEiyCsKb9bwcS9jzvHLbOlApIZFHRMDY9TjA9FMITSI6PliAqhDhGjVYEpMF1+Elh2ElprlMpSsQt7G1surDH5UErPAdZctUeUp6kZJeGpSWgz0GPk8W6iS1s7hQJ6fl5YXKs+7JE3Wyvfaia2Ts9OkAgAplCJkxdCtyWnKTvbjPw9kzzpzlhFwMz8WnzQBQjr3xhNw7dTGhOZIiMMOhTuiBVl4xVorPWSidB5rlhdZOVSQq0DU7iAm6HMgEn/cNVeacU868WOn0QqvBmCTto4KD+/pQnXlu2sZX6MR9kQtuZ2RQutATLlfR4TZ2zNhn1yovVIzsJE0kkkoAl/E5tGS3HXbDDP9y+A98bkl2u0PIjlkONUY/ZJwK6VkwiOeVdnrXMYC4vb8dLWd+oe0Xdu9YaZBRZEHRXTWlfrIGGgeCExU9HZBJctvPvil3/eE/0BIeOz7IB9cls6ZMkWuvuhZJF6xMPQS0FOom+B2OI38Tz/rYRWdJaOtG2Znt0qSKrasOSioSlWkxU98qAvciqdFBeCIG8JExqKBMJQtWoyqzHS7jFmstGa3xTlPrGqS2eowqsCkc1+VFjB0VOfbHypsSytM8nR4cOC1k/VEnZEYnQ0h85Oab1S+ViyowQ6G6r0NRA8RNKmk/SIx7lrR/mdVPyQzkhUKQ7iuiDMzsmV44XXbh757v/4dmI9Wizv2VV14pi0qLVdj4R7WrcGuD0NmzZ488t7ZHY1F6ux6VtjltcvWZOC8QLSgeQj84GUX6wylOtBLJD/KQvLXx9t7psAAAIABJREFUD5xAOAGQB6Qsvqt1b5UdLFNlB/ykxd+LtNlIOIKSOwjoRpZJDDeEMU9TQ1Ol+JJiwPIJ7ZxNXlKJGQU3IJGzANx83IdVkOi6ohI6+ayz5IwzzpCFdWfq8WMoDKkTGOaeJKD9/u5eKS53JPspzuNT+fSoqL+McgZNBK4bIp+8b1G0jCDxXtt7dTyGPyd4G3PD54uK9eTJk2Xm9JlAaBHkz7GKZ+JIRoH9zcbY8Ry4P6K4RHdyyZ4Xl+V+ftlKr/LLsPLkBChzjHMZVB7d07NrnpUV6Ey+Yfu9ioBOri/R+LIUoBoq91SAPvGJT8iMCZfJe9/7Xll9cK9WbVeCzPKDH4zn+elPfyoRIEHUFan8F4cKgTRDy6FvDO73SXAlU7lLYgzQ3UU0tpSQkaPsmB0e5X/wmIHlvAfkDccZ7wUNt8IgDAz8xrHvwnikQslXnvIcOJ048KYrOxxYFFh2YiTzOKjscn7n7xxcXIeTK9sN0A/P7y3FfnnwmQekeGcMaG9A2oyjSqQ+Li9MKZG7u5rU5XHzDsgFRu0hgngQmQVBVzVKRcRke0UPjpWWbcVFKiC2TZhpYOb5i+VMKDVr5Fn5xb2/kODAg3LehXPkwxMZDLhPXL4XYGOhmmwqJn7knU9ErM4Z41KyaGENkJ+E/OnJZXLnT/4bRQ5jcvF5F+O8Z+n6LvjfqW+FPRGkqkN4nOSn5aiKIo6da+mS53YS4HIV2o5VTIWHQvb666/Xxo/cL+8FJ7rzzz9fGuDCi8JSHYIyM4j6ID5kqHnwO+1JWoAU9Cmk+PuRApeBQI36YbFj+bxBREv5J0r8+lvl0rOb5Q/P3S8vIdB8hbtLC6VRMSSM7kKFXQr92oI6dVlds+RynCuyfRz+BQnXgXi6bP1RjIwUx+PwMg5bfkMNO8mc//PYfUSfUEzcCpc54oLwqPOxqG6K1F9wrmw4uEcn74JEtY7PeqxTWhqQudCBMojxGAQcwDEcQFZTFtl5ScTIUZFaVo3sOTxLv5tigmCrGsbLuGuvQJ0r5KTjeUt6jVJtn+Ncpcd+zpUd5DqXU4myzzAnbjuJ83eLAB1NibJ3z1bstjE61n2lqZegJLID1TWGx6kbylW0kNhPCvEzG+Txxx+X3676uT6/N0IATQE6UxJERpi0wsE9GpeHYGzIoBdfHJDNq7bJXT/5hDz4y6gMohmqhv4hl2ICOo7/3//9n0ydPElvA8cMXyQfFQ7ei4hX9iGybfq1l8syf7esXr1aSieWADmKyi0HGEeYkSpUl0fpRhmFAoUck33wgoEtuI1wPUIetmNsERG6f361IjpbaipkyZIlctbseXql3LYnFhd3sABGCpBXZLxWV0OGOtCp3gvKDKyr7i5mhpCG3YDm68j/eS/IP8oWq0BR/tt7lleqRnIs//21cuBNV3aOdeL2YacgpcXCwUFFh/54Tn53/vZO+eIXvyi+pIFpwwhOpcU/9LZyTcWMRveqECah9AriA2wIIYFbBMsiVTMWY1CryergZD9v3jzJLlqkg/DH//NjtXAuvvgcmTtnLqIIdutgHlTbDcGUUHQYv8D0W75H/BGNN5g3r1S3W7ZsmZ7vBdNn8GgygBoyYTbwA1FIn+r2kRU65CFh97/7u7+T//qv/1IUh9bzHXfeITfddJPWuNFJBO4NWpgUxz29PVKAbUYqXLkTFhUWhhgkPWkVnpdeeqksXLhQ2oeaZdWqVfLsiudkEe5FfdU0rfBc5q1R3lFQQzZr0PjJVhj1gHk6LAc4hubOnSsHNryoii/RFCIKVShM19eHIpVQBrSCCwFNopqO8uxBwLMHKBANDCrC3Gb06NFSh33NGD8DAxVKAyZAwfN0LLLPV+5zxs8jn7vjUW6OdayRvwdQ3K8fZRXUiOHDjCe/pa1F7v31vRrAv+TKJVJbWyt106CA4c8KXB/UHS8UdC9SIxYsWCDTx10pFy76IpAYUyeKig7puuuuU6RTgwzJP+yfhgdJ3Uha1A9IDOTQnClzJNG5W2Oo3GsPDBsquh4J5+eCTPPiHvh8RF0xcqAwMXtRmyfjd0XB1VVdqe9UQjq6O6SiGMVAyyrUkCFxrL7eZO/PyPv2eh8nv7+3JgdOeWXH1nmxwosDkpYjFR22L/jCpz4Lk2pIpkdqpSXWIl2JHvnge24Q7xVj5fe//7081bBfLZYNUROQ2Os2KeUFA0VqSTSN88L91CyB2nJVSqaMXSKzrrhCekd75Dd/+o1M2LoUPvWr5H1zEhBVL0np4HLECKWlCYYnRU4RhThkhoJGmLQD3j1AkJA9MX2WTK3Oyr9s4oTdgvoZDTINE3bSh8aVWJe12tIBv205dEo/fdZSJh/p3qMQpKJj3VuRaAG6wptO6KiWo0XSkrDeAwi25HdqI8bioyVpVBMahPwUoKcBaLwf5amR4IO2Eg0IbEL2iEyVxh4UfNzYIpPPvELmFE9VLIaFdym6/ZDHpfhgiuaT/7R4TaI5jcwjATcabMvt9f88HYsDXifgFoE1ZlXnRtocQlSskumjp0vV+98vO4EIrHFcybsLTf2jKmRL8vlJQhlQCx5KDCfQg8VBNTBW14fULdnVMEoazjxTzl9yFZ4Z7H0vYoAwHpNOdNVrVVQON3HaZYf7jReZq4xbTZpunFyy7Vz4LLrgcvV7URgTfdp6ZJM89txvZEvzvTL73Oly0/wViO3bid08Iz0oq8DqOyE8fJ5kne6upy8gFaWVsvSlVilowVBAe/JgEHV0+nfIWefOlvfc/AEproQ7ikoNXkEYa2G3X1FiNwoBDobpEh5CTCFipSChZiIrsQfxQ42oovwsEjb++IEJaph8/Bnj5p3chbEJ/u/1mJjB/jHojI779nAlK797ZPXZk1S2NrX3y+e+8y0pRm+zj37ko3quff0wHtF9neitJntA4NEAtfxSGW2Gt44y/W4VLd3DKymX14e7L4e7Ry+7P6/cZX5JngOH5cApr+zYTJ/cIFkiCCT6sanokKjoFODvuvffLO9617tk1+i4+K8HVB7Oaidv1yYULGMALOI5GACZGTJZDB3BLvilR0sVYg8IM8+f+nZUI62Uuw8s08Z7N1xynsyfPx/hr8ukPdkupUzVdNBjDmgqOJxckcFO1B1tEmD5QJiFUPLdBwFy0UWT5ZFHHlGEZ+w7x8ooTzHEFLaDlBxuRqlXcGoShQ35bWsOMe2cLgLykpOVjeWhEkprnZR2oUgaLEB2j2c2D4kyUIUUlRznffiKYbS6VPuDYZseUqFLYW7hbSJF3L4XQQyl2TDQALjFrIbp7MTGlqiiQ7LvnI3ydNI4gLw4RTTra+rl2muvlSagBqy/lN69S58Z7buEm+JFQTy+ZzBQrBuJzw8nTE6ujIObP2e+jmElllbGJJ51SpdzWzvxjfx8PBfHbQ83SeZOpof7/Vj7Hhhw2mlgxSAKKz6+ysToTJs1TW644QapdN0PceDHs8txBLkAbQdqnsoA8qGitEKeeuZJufXWJ9Uty+c+CfS3fs4Y7YU1dXL9IW8s1mcxQjcK+aWh6DCxgipLEEgP2rBC0eqTYvDvosUXSVvMtMvY3LdDlRuiyLxWjlMqKKUlBTq+BlHs1CBFcHXB3UYUlVmSPXD3fxvj8Lvf/a5mS/LeXnLJJdC30oreVZabfh+8htz7Qn7xu12Wy9/D8ZI8t/dz5Da5++G2r+X+HO6Y+WVvTQ6c8soObwuzn2zBOA5aCsevfe1r8tRTT8FdXSCx3n4M9qRce/01cvu//6P40AV95lBIZo6aJ01XRnX7+5CxQ6VnE5AfDvaWNTvUolww/VyZVlsrC2sv1v0WIaWyGYLk9xt+JIOjd8vNY11Sm1qFIoHLJIhsIymCRMIALUZfJk6sngwK4EGAFLpjggLNksr0w2pDLQ3fekUaLj/natm2ulUadz2D49dJTdVYWD0QkAyGthPyKfzs2ewrTlxEdYjucJLiNRP6plKRhH8+EApLbzyGCscInkTKuB+VqVkGkCn7JC+FGv4UV8Fng68gLKGcbkX8wc/BfY7qQywQUJ7RSSikrQWyYmtK5jeHJDIaihA6a/sRy+BCFbp+5PJyu0IbG6C7peA0ZQeHlZ1h3poj2qJw7OahZE9keL38h1wOQK00X43nVT0pfBWyTwuowB1En7JBGUJsRt24GVL+fkyCM9bJ1hdelDY087x+wQ5VaBJAJVRphpHBZ6m6oEJTrzNoNfK1p5+WK1Yi22jO9VIFxakH9asE1ZmNnmwQCE58drIbOYGOnCR5XnaizF135Hq5v9kJN/ed+zmUfUX1xCwx787zRP0eHwehavB53Lz7IVT33ioLLpiGOKVnJJB+XOVEKYwiNCIH0R2FmBQo7NRi/vSrjPzbv6GH3yY4jiqxqOCg9CMQbTwDvzc/Kosvv1GvpZyyJehG3ytsB9YHeRMQnNyGeEOEDMs4YEZxNGAtTDFerkACl1wkFzTUyYZNT0kf5N4DUZPyXtxjFJ9d5SbWqLXUr8bfeBQrnHvRRfK2qgYpiZTIqGxE3vbpb8kXOr6ElPfvy0O/exB1f26TGz9wkyo6/Ug4sMHoel/wjygOW2ypWNPn5BDSY3j2yv9zFZiR90d3w+sEHen+vHKP+SV5DhyeA6e8skO4lEoIyRa3Y6+Yf/iHfzBXRN0DKVaTKiZpDxk3TScSMzFgHdagNgxfAHg1UG8zbKwUhM3DP7lPB+u73/12qXRXArkpc6Zlkf0IENy+fbvMmDEDGVkdZsAxaC7gzIyIDwKSLOylR0tVffVAJlyIZkRZDa3azL5QJKIUzL5YuTqj7SwmlfdLgadArTh2RmBPrVOZrGJjeU8rsKmpSScqZktFoQCxgNuZC8+SSAjtIRkYBaJvn9uSjEAzml2ucONvFJBEf9LgKbO0vIDllSDQqUyRf1bg0RIlkd/kLq1ghEHrMrtfi/DowjyddA5wTLG8gHUPVpVXyeLFi2X6+AlqXATaV5rMKMS1UOlh7SkqzfWV4zXbMVxSrlmO//u//6vuln//xG1ShJRp2YGU6YriV0x2vCB7r/lc5H4+0sXqpJuzbu569tnK3e+R9nO45U74DIyclLrXKTcorxqgNLQOtqJoqBnnEeg47BgzhObCKqKAjhK5Ylzatm1mzwhDlH4MmU/+zXUyatp4LN8mO3bskLo64/LSEhmIhcLFkAka/xSEIKI6QNUzBIHkY5FSLA+hgviMiTPkuomlcqDjgIyr2Kdxjr7mbiNHi027ihlTx2r1+Zn102VceJyU4052D3YDqTay7qtf/arWsbrzzjvl85//PHputckXvvAFRYPYpoL3Mlch4ZVYftvPh+ObXcaxbBUZu13uPTnR+3O0Y+d/e2tx4JRXdjgY7KTJyZUTIAcbicpKMgx4G9JjxvTJ4q6CwhJB7Rz4+dehcmgZrg55U1B0gjInBgkDgTObAYDwNO3daSqEnuE2jQYDjdghpEbb2Lj09zbJ5sIXpWJ2VAoq4EiHwpWmFoMVOiCwKAdGDSC2BJNvP9I/UyjeEnbt0QBAgRsGjaBhZx3QQRxIN8q8hiJZ8USTdDduktD8OLIogF6koqh+il2e4sqOKnIgK5D4+SJYgE8+Sdgd6E5Pt3zt9n+RCy6/RObOnAtoHfcEoneImVeIZaBiCXE2HJjp2H3KS1KHE3XjDqA6K+rKFkBI68SJmaE3NSC+MJaiJlEB+MrurVkUdkxikgiE6TyBwE6j8CCJdU0cC5NfDe6gP+jPRiXCB3NY7EsX55Edhw1Heks56KPBV8BHuCizCLgKseMtyD+AwQSkNOtDGwT8tYGvHvRKi9aXSWG9yFd65msQMsoO6vpxKLOMERntK9E7w55zF9z+M/nGF/9J7rr9LvlxrFg+85n/JwP1xWgCm5XIoRs5fIq5EyAX2u8jJ8kjrTe8o5xtc5e9XCG3iI59YCzEZbZwgAcoHW7ZvmujtPY0yoLF5+HZbEbKNiqGIyov7mUG1BUa69LjWiO+CJCR/lJ57LGn5X9+GYJ7HHoPADEmV829SeSGf6uXVTs7ZVPjU7Jm93YZh+zDATUKgKCix59aSVSW8Jk9rtCaWEoOYpxFIEwS4CrkUbyMo8gl70Ldnnh4ghy4eL4iaxFU6iBfEggcolztBlpE86IOt7O/PS4FQIeKcX6theZ6KxFjdcMN75br4MaigfnNb35Ts1u//JWvoLJ8uWZYWlJ+2/HlLBx5D3L5zM+vMH4cxZS/HWnbkduM3Gf+e54Dh+PAKa/scEDuQf0aCkwiCg8++KAOWhJ90dQWrvvwh+W/P/d1zJwd0olqo4wpKQuWAcPpRQanmQw5JilMsIhRsuqv5npMPGCCCGKFdXkfytvTYuFAI7yrgTg4NlBdgDdsjofAW1VQMAlD8fIVmF43XJJLHJBEJQo9hTJQNAArd7u6gAr8cLuhJkyBC8rOKa7o8HrIYyqVVuFkIcW7775bM2e43IVU8hiqKDPzZM2aNYjNCGhX8wkN9VAwUM1WQ5SNBDwc6kJkACHjELiMO0CszyDq76B/EMvT081I0to+4GWA7e09yBbB3+H29fI7kP/2hnAAig4gGcR+GGQOcydcmWjYijsUgKsxgDHE++ZjCWFQHwYZnwlWI6dLOhiHMYNGsJ/5zGd0zP3nf/6nup0/943bgfBgGnaUHf72Wia5w02Ydtnhfnu1POOjictHMD7q/wHJKoKbm7WHWuVZRR77UBmnH7pJxM/YHr9mnvGZf/zxp+Uv/xKKSofp30DZVF4elR98/a/Bu7jGz1D+UOZRKWRsFLOmVG2nwCJBxrBaGBu1uIsgTMgrpIdjYOqY4rgbQtlmGiWFqGlF8UeRRvE5gC/8ThW0m2ca9+h4RqS17rq5F6nlhdXUOHQDyst//dd/laKyUlV4OtCIlO+8J0e6L6+Wv7nrv9pt9aTzlOfAUThw0pWdkUIqFyHgb+MH+8TVeVAOaP+apPSiUmsUY45hivsBuT7Q9DXZtGmTDHRUye/uu09kFYQrXE5hb4ca8rGGqFz2rnPlSc9uqRpXpQGO+9LtqHvDwQwXGCwTdYWwtTK0i3SNaTVw0L1ZytBXqZCSCEKoOYqKvaEiFU4Hoq0y88mk3LAAASKTp0mP74AUdSGOANBteQLnC+HRW9QnQyWoKZOBAAN0HIRwSWQTiMXBgVFB1gfnNSIVgFx0SJ+7TwJVBRAqiGnBsgCsYG2Z8zooO6Y95iG8xN5rg2ccWj5cSXjkw5BBCVUwEs3d9RUcROYHJKAvgS/YyYECkz9FHnK6YljiC2s3Q2oiqwbxOYXcCNf+46X/qG6JbfE+KdlRIgurz9N09NlwZ8yonYFrL4MsNhEgcdz3Ma5NOhmMyczSSY/ClPFBAShLVG7SQL/6hmIy4ELWCaoi06D14B4ylbkgbIJY9eE9whM8jOSMvF7LGPs+8vf895dxwMvJ7mVsNozL+gyH1fAAUsOnII37xtHJlxIUAWP3Q+nBB4535leZiYz7QX1mHyru4B7GkMn0mX+7TdyVYfnxj38sY39QowGxU6A4IF5XCrtQPiKKTMbQkLR2tqKzd4kMZAekCrF5PrYPiZbgmcnIAaBBQfiGa+Noc9BZiNGGAoPIDuzFRM7Jv5JPIY7H4pZUPjZhGSLQZAxPF5daiOFgtAL1MmGsOm5xZ6yykS0pYREvsAE196R9oAXuuAOS7c5IdWQQPGhFFA9kSntQiqDsDSIbi67gwcjl0gkp8M4P79TjFKSxMXhSlY7L/7uxT+oy31flpDbz1/LE/nbxomgpulXhMUcwN9z1gzAuBhBwFkHGJ6lCzweoj8lGRx0c86E8bU44hZgeUhEQGxLvJjlf4OhL4/CZL0GzMi7nmCQhvw5fsG0Sx0FAdB+adbH0xMe+8GnpKRiS39z9c+n6uy757r/+t47dqBvGCoK1PUBoSVtcnVIaKJVKFsKCiN1dkdDA7C4tiyioMhRTpZfLsmWDshWltffgISmF6jZUEJCCg5ChyJyVCqS/Q8nz9kPxZRNSXjYuohMfWfwj6jxhRIVJrPdN8mjem7mV+iFPb3kOHGGqOHl8ydXYLfpBS0R9//iLYox2oXLow8iE2rhxozyX/L3GvDz+4HNAbjBQskEU7kJGUz+lksiZyB744x//KE89+aycidTVKxdegGA+IgLI6nEe/KNeDa0ZkEWLeB4cvAQRiCZ1d7WoNSaIs6H0UysG3+lESaBTd9hr4HvNokBxLmZ0sjnfQACZJBiUVIRsrIkiFCBFJRxhc9RzOwV+5Ll2Z7ql3F0sPek+WfbA01pPBekgEDzoVI0/olUseU8kZhaUFDYm3LN6jxY32zdlmqwfv14uvvpDSJkNq2gKg4f9COT22iJ1p8B15k/h5HDgSFa/PZp1kxJV4Pi49dZbtU7M3//93+u4q6mfahAHKDqZji7pRgfLSqRqH0x2SKEPigKj/IE+JuBO9iO5IKol0o1ixbgSIpEBHxUAdEbnnxmCmjlo0MGsPpNUdBQw5stRhDUe5xjjlDpfDMZBNBzVY3HMExnOVPZhusWEy0Z8QJyDNWimGQ7J8/EmueOOdRRPSrxuT8YjH/1oXD70oetxhksVlWH2aSwGZQA8MP3JzPr8n4YHibLKfDr028hPx+L/yPVHfh/swzkUe1XRYRgBqiLiPD+EwHSf/PKXv5S//du/lW9961vgO9q0wGhRmQt9qTQKo4lE3QbaL5UamnprmtZosdCKNtNTr/1gq8pexv7sju0Wb6BWCpF0okoN5oH+WL8mlECQ6r1h1itD91h+icUm8pTnwPFy4A1TdkZClHYQ9mMCFFQTpgVGGRNP75Onli+Vtc/+ow7qd1wxEYHC4+XRH++AECrBkOlBkF+PFCM75/OfL5Kp7xV5+ulfyLatZbL8iV/DsrpVrrn8GoyLGpVTSP5QgeD2wuWEIGKeB2MOXGmkM+MlIayA+IMEYk0Yl4DETIznavT9mSh79w1Id11UougEHKQkROE7gQUq6McVRgsJhAthXCPgGT4yH909PBANKqyShQONBfY6kkHZsw9RLJlSKS2bjHNBvx6uAqHI3R2LjgXnHusGHhHRsQfmSUD5SGeK9ZXxdTrWE/x9Gq9TgHNGFhZs4KVPPSpbVv5Y2jrajImIekPdDKooHpJzzn1expeOB1/gSsRfUx1qf8Bt97snV8u2lT0SKxsjZ599toxzj9L7UtR5FnVcmNKvzT1xLL7lf39jOHCsyZTKjH2GLaqbi+4yfse6SukGIjrINOff/va3ch+Q3He+8wYJYLIbglITGIX2ul4mWSM7CT3niAwotIfo3wiRWxDqqKsSsLq8XV6qARq7v0O8KMgUwITtY+BuGvKGz/UgByASx5C5mcZg9BA65HIE7tJNtAe748Q9FkiiIfPOoggkC8rqWI4j8DpYIkXRUZBfIq3dmNorG9TZKpF1aN2XhZuoVAP4n/lvj9z7z6gnFYvIAHp/cbzcctNk+dTfZ7D9XlTyQkkHHGNZI1IpJgEZgQHhgsxiKwcl7NLngftYv2DsHKO58LHuj9npkf8PRlWrUKJbrSfTK2MQ0/Phmz6IrvYB+a9v/lC+/IV/kH/4zG0yekyFdHdCNpcVQY6iGOEgFNJqFIDtapVnNm/QYOuOHS/JAWTp1e4zFbIYlE6XeCFk6tP33CHr66bLnDlzZG7hRImURiAj0cU9C8QXiFYWhlQasFyGPMD5kAdW/lm3Ns0vkhWtx1IGdeU8vSU4cKy58nVjgioZHLTW3+zsWeNu8ILnHor8gDz+2GOaUl6Hiqpve9vbZKh2SL797W/L/tWMrKMy4ldL7VOfGpD3ve99CMSLSuU7KmX7jnItIvjwww+rVXTFOe+VgC2EdhxXYauSclUKXFbrZRf1IJQtnncKdWUoODzMdkC8Aa25SASwMrKO+LuWA6G2Q9POuUYKSwp7ZmGFww3a88cS4nAV3j3VSZEYXNsfHn9E6wWdh14505HG/9LudbJh5VY9fcL9Tz31LO5XkaQ8vbhDftQsmoCgzaD0uYa0VxhjrYhwlc++Rt2PYxA7wHnDkaO6HyuY+W5f+kOeTlsO2Ps4Umm3Cg+tega8EuHguGP9JlZk/t73vid/8zd/Ix9GPN6vfvUrdW+2QxkqGFWhSAf/OFFGBvEwMVgXxIrd6cIAFAhUKnbcoorKAqIJwWWlEyIRFQZXdzF4D0MZadZ0nwah8GgmJx9OGFnEgUys2dF9zXx+C+DqJRH9wGF0Mp80KSydSRgOmKj9CBvs7jHum6ee2qYxPtmM+Y7L0SrJpdEHpTu2U+KhhETcER0zPPcJEyYgVhATPMphKA9xejbzjcccHjN6Bub0nY/65ub1nAjh0oZ6EacIFxJ5moFSyIa7ZUVl8smPf1Iqo9XyV3/1V9Le1CE/+tGPVNHJoMnpnt49UltRK7sbd8vKlSvlVy8+qvFHxXA9cj/F6F1Htx6zOsmvznBannjiCSncc0B2794tXWPnahuaCvAgnojLYF+PKlvkL9lAXfV0qFN2IqzPb/v6cuCkKzu5loVVeHgJVvh1+eB1BXIyBDRg5a5nZeULn5eSipC877K4zJ22Sf7njw/LH36MAoGYcJmEUAAN4cLFhfLFz6N+TvsPBBmtMhnCrrr+Uole3Sf33heTlc/dLWNLF8u8abWC+EcH2YFthIwdDxSRLOJpfMkifcV96E+FehVhTNBEHKLwGpdEKmV8zfmydvUD8tSuJFI/x8lYWBoMjB0ne9l3TyLUAoCpcs5WY4IyBbV3MkjVoiztzU7RmIB4okF27H5aykpnSe34RfB9I2AXo7UQ1pmaJydIrGvxMjqGbBtpCMIzjs3Z8YfdwtH/yg/UxoMOY74hVdSQByXbdjTLE8sQMFoWluveUw3hnkLV1rnyxY1bJR5D5gfiFH72LZGrFsSkevQKBKZil1Bk2KXjggXzZUJdm6z+2Qp5ZN06qUJ6K92SKLGlYEQCAAAgAElEQVSM44D3TlfrE2RDfvM3iQO54/top2CVG/vOde1nuil6EOTO4pH8TCXmsssuky996Uvylc/eKje+423ylR9+H3V86qQPAbiRCDIp+zNSGglIL2JSqCx5+ruM20vRnl5pCTdKb0WXrIpvU+WhzRXQ8VjjrxA3SkhUoK0MezwBl5W4HyUM0Jg2CLd0kd8MoAoHwUm5GUtoUB49Z5USmGiRZUhKouIx4quxn4DUjp0hVdWLUWYiJuPnz9AEiE5gNSHgD8FyP7LLBmTh1BLZvbZLBvaaEJSvf0NkytT7gedsg6zKSo/7HBw5LGsQWNzprZC6CROxNZQvQLQs6Jc7vI2bPtdcgFx1VjgmoqtnfxyEsRwoQsyjs2oZe/qhJhbR8RTqjn3gPe8XF5SbW7/wefnIJ/9Sbvv+P8sYoLiTK0qlsXmTvG/ZNzVw+//9ab8qlR/dAMMWcsXj+PEy7n51X7rR2LRvoE/uOx9hBKu2yt+8d50s2rNd7ppwoypH8TJkrWEbxkYy1p0xRwjFEo9zvyxjLJJj7s5xXF9+lbcMByxGe9Iv2Co6uQoPD8oHGQil7E/uhzvqaR0Q7I80e9ps6Rnch6A/1lqBXsGkBTzBSAZQxAcYC/y8hVIEo64DiNCB2AGZ3TAbPawuVkth6dKlgImPfVmEvGnxcZAQyWYsDgMWGVxLS5PN/BhDEMEff+uPOy0kCe86yRG6MY8Fq1EzTJAuTauM10o0hOdDpKgmWqPXO+xzd/z2RzvLkXwb+f1o274ev9HdxrYcdgKqKa1RYcXaH3EomupEB+3Zg3uDIPMwghn9EEgBpKyx6TKzSMaUjpFrrrlGY3l4j9UypXnmxDDZ88ydOPn5eCfS1+M68/s4uRywxs3Io9ixQCWHqA7jXUh8xm688Uatv8M6Tu9HO4rtmPwKqejgkSOqynduzzFFVCXE7EogKcufX65Vf9lv69e//rU20rzzzjvlZz/7mbrHiDRwTJM4pqMoYFgUgVsbz1xWM56On/gYk6iIjC4brX2uWKeL8WpGlrgQ68bAbQRX43n/+Mc/Lh/8YLV85JZa+epXL5ELLpgrYcgGyiBcGpzcRfLcxufU5cN9VVUgUBikieQ5KA3l1htCPAyGK131rB3GmkpE43iviMbF44Ny0y03yne+8x3t1k6UZ/329dLU0iQ/+clPZP369do0lAg+lU1NFnGYxu37UYCV18XfAoj7oeLKOYAK0pNPPqlIPd3h7MHG43bATWbJxlm+IXzIH+S058BJR3Ysh3InaTto+d4HeLoXg2n9jqWytXm5XDGvR86Y3ovx9ay40aH3wmkosvVOkTt+qGi0/Ou/FMHq65fO7v1SAniYSIykOlH7ZgXESaHMntcg6zY0yYvrHpTNjZNk9rjFqot4MQmz5q4LRXAygEPcHLh4mUgdBBqnkB6L6MUSpIbQdV9fsUQuOTMod6+EC+olDDQERZZEJstYPyuWBqXaDQTEFZMe+JFZ7GsoW6DQugRm68Dc0z1Z9u7dK8uWN0ExeJucMeNiKAFVgtABEA4ARceN+jEnnJJlTS5r8o387twAa/G9AtlJgX/YNu1vxKsDiA5rgjBTAqnx+Nuxf61s3vW0XHBRSqbNJvT/FCyqLsDKjQKdTrKx0SqoywLNEu5v0NiEOIR6FN2XUTQHSVvrFek5b+IC2TPjoGxd8zvZ3DRKJtWcJ/2ufty9glcoNXkl5/SRK8e6V7lKjv2cu4x1s2yAKpUWftegXExsVLDPv2yJPPrUI3LZzTfL+zGp/vo/75XJ02sliWe2D9W2WyEDgkBJC2M9smvrHhl84hFpwqQbSW6XORAYBc0v6vPViSHHfW4srpZ9cIdsHD9ZFfbaqy6SarhiMHAxIEOIKaNMwHOLcB8q4wPsPg6iAUQaFphO8cwwzplGj9/POBWReXPfL+vXJdEP73kpLI6Ib8Y0be+QEGRrBTplztjlcsEneoAwRaQs2iWdAy9KabgIu7ha9rfvly0dV8ny3yekOlQj18y+FcelS40GGY6BgH47zDO4Fu7XxqrY5cP6kLMgOyJsQC/iVRDbuAwOQq5B7lHRof/IhQ7qBSXoLYjz8cF/39nYLtfdcB1uhFs+d/ft8o//8w1ZgubKaSium5b36j1t6GDRAVYdwolBwCZd8OXBeC1CtqXXMygBuLWiyJa9+bk2bTNzfisbCLfI/ReEZDyqsVdeUolWGTAmIx7EbEHZBc8DLFlvr88mO6DGEMl5exVXml/1z50D5sl4g6/ycAKQ/lyiIpMn1+kA7muLSRTZDeyX89nPjoLf/lLE5LxL3n7LLSq8SosDiJeBL/wg/OLIwBgL4dAZQ3ok6tqce+65KtgYK3M8RN98ApAs90tFh+6y0oJSOeuss7RNBWN3aA3Saox6mOyIUcruvxB0vBYqBZqaze3xF8/EdRuiOqyX8fa3v13mTJwj3eluQRkgQ3EchNrCKU5qoeI6GUeRSLKqB4JDw+XqdmDNDsbnUMljKyNaYLSuoywjQGGLaM0ipovjI+OxaKmSRytWrNCrPpK1f4qzJH96r5ID1tDJved2GeMwmInDCdE8UxhfUDL4LGkWDqi+vl7jQbgukYOnHl+hwGAkQqcSYkiwDlGFu+66S5EAVmSmokR0hPuxAdCMyyNy0AykYR1cqs8++6yilut3r1cXNfdl4nRexQXSkgJRCWpDtlJ1uFqLbhLNJSJFgwepCfr8+5AE0Y4Wt+wezmylOEpklKI4ZlNHD1LTB6W9vV3Pn+d70003wdxQJzlkBjI78ZcbqzMy9tGcxSv/t3x+re92jwyKJqWJ6OB+eSATWoG+kIigcYxf97ZrFYHjtTNzy6I0ROmIbEW8uJ9EdlAwlPeY18AA9UEYmUg7QXA49ou/WAI9DMEDrsN54fnnn5ctjVtU1hQHaFSCKEffMFNdLzNPpzkHTvrjwkFmlIhDCoGd5PieRjbU3p4+2dG0QqbOq0BjvH143JtYxgUPNJCE7C6phvVWfvFGw+oUUhbZPQKwagjZTiF0T4aWI7FSCBGMpW3Ze2XU+JRMmjdOVm36oSw55zoU1ELgoIsp4vQ9o8ANrAmXB/CpB378rAkUxCdjJfQDFuehA6ieDOF6803fUyj890//j7y0r1U+sLhBgwbDaTPQ2/3GDeZyjUK8S1I278yq4N28zQOBO0du/dQ/q8LDeGS/pwSBkKgszCMgIA/aAF6mHsSRniPyzgo2y0euOyy8mFlGDY28hIJHcU3hQoXRbqeugmGTzwSKq5VG4mmA14nsbvEEDyCUxodFAewTWRRtXXKwd7mEy5qloLhNwohtyqAujwcW8CWXIJMN9MPP7UURNZErP417NOY5xEDRHRhHSRRYytBGQwO4Tzh8aXK3lBe75bnqOmnZfUC2DFYBqauSEgg8Xot1Z3Cf9vk4XoGuJ5Knk8IBPnMnQnb8232M3J+917bRr30W6JZS+YBnGVEdcuXZS6T0tqDc/rGvyI/+7VuSKPuyBsr3o07PY6sfFv+dP5UeFCO8enOTHmo+xifHw8Iu4xaLIy2d1IbaL6RNpVSRWuShHU3StnqndH4yJWfWnoklJTheXM4YgDDBI2yzeqy722jx3IPjRiKSiuebb4UIdmZW6azJF8tf3fjv6gK/9+cd8tK0Gpl3IQyywrFyUBqx9zjqqw8AmQnBZirF+ArL6kdnygMP7MKYWSh/AffdWaW1emz20Yugf5ihQ8nWAR+vhwrQ0e8PZcGJEK/Sj+Bk9HTX3QTDsGpg66XQmqK0ajT91GpskroHeuWaa6+R5S8tl8lLd6o7alxnu/6WRBYd9ZMgkRicsl4Rgq5ZsLUE3xH6JPG+/eKCe5JXNtbZblx/hcRfWCfLplbLlDENwJx9Rumj/FKFx7m+YXnm8OPELlvPOU9/Xhw46crOsdjFwUjri9YAAxRp5dENxH/M0jqm9s64D/h+WX+X1o/fhaGCq+JAo3VB4crH/1VbbM6Jj3aPhl/9AvFV7NDihj//+X3IICiQS8cVKgzeVoTWCDhWa/tmRZI2bTa9subO/5B2Dy4rKIdzjYXDDonJY/Ek93c9f0fhsRND7nePHeRYh9aWU6hWd0He0jrKnXD4mUoEe/mQAlnwCwyyx8mdjLgu++nU1NTAEkX2BDIp0mzoiKBQ3qdrrgmi8OIiRX7S9RskgCDQwVSLWnRRKJRodoVMDqSNYt6gayLkNWnGtLw5hzLrX2eJPOU5cAQO9A/C1VlYquOXyCBrunzyk5+UD3zgA/LTn/5U1nj2az2u8XimLFrAXfE55nOpM/NRiGOE6EvTsmXa72nR6LOAp8AAIWJzHDF1qvM43hSrFzIbbMG8BYp4PPgAshZRXXztnvWoQwWUagoK6o0uRTB0UtGnDpSlAHgqndv3y8KFC+WiRZ9FvKBfdYjTYmjwJKFYDKGdC/n30u6XVB4SqTtRRYu3jTKIKA/l0EEosKOBrCPQ4Ch3NP9TngOH58CbruzQwZFIdKMfVR8qqcL3jrbWQxRQWWNBCLKllLzGYhuWAMkxZvngKIVGM/IiFH34fxGuzJYOhHyTQwcw+Vvbh6MSLzau4ovik806mVqlZP1L1LIc4IXvnlJZVH6uTF8yS9ZPXC871jwse/bskQeXbZOu3zXBTuvS4LqiklogOOfKxIYZqhzMakBNmaJ6qDlRlZsE5FM4nheuMKIwx1VkR8/ECG6+W0UlVyHpyWB/jpGpCgsvkYoPsR28+yDw+bO1/7RpI3z9dMVpgJ/zI/mkvMowSKFYp4g0Ul53NK6W8ZMvUkid1aALfER0qNBtklElyJstuR9fEVCIGIZeZkeggmqWLcUJmOF+BtDegUah39sMmxltBjG5JBL7JIVqqYPH1GR51Xl6K3Mggw7e6CYn0f6kTqKTz5kp3/7ht+XvfvEf8sl//LicM3eidGMivHgLUBHQggNdqsyjKIS6pIccT3ERXLCkoiGDyNb3GE2mCEFsTIH+Hp7H3lRAdv7FZEbWSQYeJBxu+Anl+DFjyJEXFjFxJCgfeY49DSTGujWChITasVL/4T+qEfTCpodl69at8sAL+7RY6WDCuNfORE2ZouIiufid16gyV1+AKjsQRWFkOLGreeZVSmhKudeTMJp1d8SMlZwGoWwzQSog4AM0N4v4wyAQqFWrnlR5PnNnu2aj+TJGrvqczYec6+kzYlZr5pBCjviNOJWeGU9JmtyK7DtkfD63b7fs2bpJKqfVGg4758GwHZLWNAIFnePk1SHDl/z/hzjwKofS6886CiZG5dM/r71ZQIxtgcRSxOYQkHyEY1PoYFKPo1UDY21cmGwZCEe3CP3BxqVjtrXojlUWLFJyhD3r4jgGsQ+Bc/ybMW6GTB+L5nkIvOvZvlaVHve4qFpogdAoRXomlZ+Pse/DGRg3j1U0iDvR8jxR4rnnWkwhKCS5NKzUOAv5nVkUvHZz3WYNL2Jp9LsjZLhP5ZU1T53tyUNOMvxjvQ8j/lGEEbwe8EKg9UAYYjFhaHrLiGJx3UFkaQSzcBkW4BgIaiTak4RE4zH0vuAPOBH2Z8/4RDmT3/7PkQMcSz2DiA9DLF4AyC+18OkL5sqnR39abr/9du2jRWWFijvlB58vHdf8dxwzP8cut+PzyRif9LbNUjBpAfaDdHH4WuykflTeYpATYIXNozp+CuWYk14UGsVfaaRAymbNlmmzyrW43r6O3arshKHUEMlO4dzrxtTJKJmpagU6pOhxNYdcywWf4uPDUTbIw6HUkFZHppyzvfSOyrfj+JH3ki+i9Pv27ZP50xxthqLD2qnHsZ/8KnkOvOnKTlhrWyDoFZlO8c6wxGBduRETIqEd0HPQ4ZoVlkEWUfY7DziLfpHcIVboQiQOBQ50I49Uo79Vn6R6R0spKiEHUyHEynA+HsBv3BjbMSMry4rByIIAckPyBIzl54arhoTWl/peDzcPS2rE0cE7kwkB7ZgrNWj2FzzzIvSqoOw1Bc4G4N6h4uZiTyluj75RVLgKkHGkSAu+B6hIUCKyb5bHtJkwa+smRySrlFlFJ1chYZ0QngGhXQpXWjRM92bNH1X44NbLUkHCuWkMDD5ze2OF4nzcHbh4KGdx1PPAK4tu7Iwjcrl7xRPqkGkzF0hHNypJw0QuQLzDYHKV+FE8sSwKZYVWWCnvD+pCZ/pUP4XKinOBAksZ7Y8ig6JDEpEsJgEEoVIJynQigNkjpZndjtI2/ojXnf8hzwFgoYgZQdBeLx4uKCSdRWjJgr+hcK9MX1wvY+5+WJXxq/b0mLgvKNgALmUIQ53P4z7EgJCI/eq7owHVsvUB6KwDeDIjpbKmHU9uz1rZP32ySDU6aEXqVFkKOO5ejlmOm4wjF5iKQOJe6RJ208DCoiJsk1JFBUsgXbULPM5lVLZGqktqZHbxXD2vhKOMUfxQyUmxxgPIG2nBaIbBlkKQPww39who5xXZlI4udBx6ne7/1ZLLcQOaiB1uba7bSEnYMs4MEgCH29sPIEuhR3yoWXQ2jKAEAo3DTKECdYbMGbLWGamCvQFzqM3Eopv4QywvHzAXNrkjKVFUag8MxSWJyu3sOKhQEpEd/GPUIwlVwfTdIjt5PchhTP5tmAPmCXkTGUJLjHAng3hbWlo0I6HQDRcW/L9Z4sjHIkgkRYfwdEehJDFCp/lAs2Z20J2kwA/2oRaC83esXeb+zh4s1FG4/xDGWBhNBulD7o53q1LBLAoeswC9s9irpxBpk2G+gF6EnboSWgsElo8H321gMM+FiMuxyFo2h1N0bADvyCwSng/5apAYXj+ULVSTtmiOVZ4UIXKEvz3O8G9UnnDOlZWVaj3zvrDJKmkIwgeVMVSIZ1nVEcXACFpxV/FsXGuOaDVaf0A7YFMe0g3W2NKo8VksD8/jMEMjT3kOHI0DDPjlREoNge4qrUqOP8Z9MUuHZJV/ojtZKg14tjhm+ToW0UBIQs4Q2SF6oNV7HUXoeMQPh5CpHTM8lFTJ8VJg4PgBfOZ50DXFFz9z3HAdbtuDHAwMCXx2IYWeIxWdzFktjy7m04SSDvxFxDvXELOy5EQvg3KO8Vcaf4g/LfHxppvpJ3pV+e3faA686Y9MCpZAFdo7zJlysWxZix5X2w7IuFEzwIdu9PxEWqmTRZGQWuVNxr1H39NuE+WfYF0YRPUT5wEmJF3JUtm2Cd+7Jsr8Ke9neQhtGgfPPAYiBSUUDMAamTS6JKeKpNcJ8HU5qZVBHJcEjEnfvYlC8SLYzp+IiLuAiBOsmWxI+hFsS+zHx3IRmOiHHMssgIqe9L654FZTgeU2+9GsARw6BUWOyglKJer5OK5rPdbhaKTA4HcNMMZBdfDD/TeQHpDennb97kJlRK5TjM7gpSVAYgbhSwcubnLMiIqjKBiVEUpdGlueJryghMWnimugDhIZXMTylKtJvKEBGVM9V3q7n5ed27tlYg16E+Hi4kjTR7cv+OkhmCNzoPwMSbEfTfxocQ3hOlWyA/FBJlZ3ea1OTgCg5YktzZIanCnTJ18j1TGUwUeaVgadqvOU58CROMD6Nn1DKSnCc1c8bgw60sWkMd6IWLJNQGVjMnN3m06wo+FCUaXfUXA2IxiYyvesZqZuEoFl4Rxka6K7NskJ+ZAIamXFUjGZccC4wLbu3Sqy/SXx1MxDxhDwAgcysXlPaYxZ3Z4KGEitRSgprPDO2jewYIwWw88YjyH0jqMCQ+UmA4XKPbBZx2cYiQ8UFMXZsbqP/sygiaFDBXN2gU94x0p7V7tUFyEuLodsZeSRCM/LVnpdvxgGOGxQBY40bIbyO1hB5MwD4w0mqhYW9aJLegjfengxoCIUYyUxlpBk9+fsTiocMTmMHDlZVtUxINSDMQllKxS1UUPOcF3lqeOFH37XnYPM3bHf8u95DpwC+nFvL9wl+GMLgXvuuQfBfK1IZW6TSUFMyDbj8ih3itum4GdioBun4A50GG5uNpkAc2bPEbRmMhYeRpeN2TnK7l75E807KBRudCwmQabqXG5BCcauULkJA3JW4nHwchGr5ovplSQTOQwlwmRHcbzagW5WOPr/1mKyio7GwOBEntz0vMYabN+2TSsUp6HcECmbUDNWxqOP1bnzz9LYgHJ0iqcfPZNMq1LkBdJD5MaeA8+Z+7ZoEc+GsU9nzThL7i26F774NbKnYY/MqGEJAfIARe3R6iMOAUe0xlUYR7YVtqFQ4wrsV8TeRfjrRfPAjlSH6REWvEDvtTeFlopQhjxwh+Upz4GjcSBKeCSOgcfidrAOiEgSRSCSQxeW9rUjaornl4GydugdbZ/Dv8ESGoTLl2OD44bPMmu7JBFX4yM6yYSCo9AQxkGAAgDk5nPPGZhEYwLnaSoBUQ5gkuZ5hlCpmb+ngWriRPXpx2VxfBO9UBc0yIf9lJdAY3N2pwtPUWIWPJUXxuJRkSMviXj74MbW1uUnSJR13K+6350/3eWJh0Ce4JnlNz+dOHDCyM6wxj/iqkdO5DrXOy+ODPu5IVgjgZ6MLI5Ola9f/ffyL/egqkZsogQ++U86oY7x/UkFQHn2RT2CBUo0Wh+IxXO+alRg7pWJcou0ApV54BdtcLt45D1v/wAcJ8gsgnzhuWSR3eUBFpPFBJ5MU0OBbznsE9P5hnu2tsChJXpAU9dLP5LIsJcxzWSVD/9+6IPR1LJZE3NklyuSgxMKUrsAmdqouC5WFNUFzghGRWZSCgITslga0XArBG0i4emWAc+APLTtp7J8+XJp2fSgVFe7ZcLEgFTPREsLDzAXTAK7EYOwdvtB+d+XFmg9kvPm/qWcO3UhEBgPUsj9Ug/53N+fhfutHszxSElgD9CsFyQbmAGFDLhadrLG3YyDV/yGRTfKHx/fI08DARp3818obN+ZeEzG+sZKbWIPXHwZxDRR4KWkvRgptTjvGO5GAQqAdSKwqTfeK0/fBSxr/3wUHnuP1HomSxPZjUlsFF0PDi/0gkEq1JyXXZZ/Pz05kOvWeC1X0I/KNDRiinxjMDYSyJTyS+xAmdSuhGLTXCMzu3bgeYSEQANaDuFdGK9Udua0QJEHionIET1snxPMMcGE6sg6A/jIjBY3ykNUyNjNmJw9aem6drZswJhuPNiCcVWN7a0yblxjnGHNNRkjhmoOERtzlBFXyDoQdEmB9H8qLpnqQytRMPlwQtiJzVaSTJ3zu0GiEpk319Wb9pioGDcDIkF7UQSRNNrqgCxlDdru65RkeURmSYM0tjbKs6F6LU8xZwgdrdDni3shuuVKowipol6mPhndlDS5XHD70dBKQH6RuFvex6+cj8rJ+FAzFJXpIRhwKdwnL1yaEKuhQmJH5rxgjup2TkjVIcjH/Gx+y///lubACSs7J8o9WjOEf4k2zJgxQ84++2ztK/PAAy/IVVddJT0oIsjeNVEE2sYpMqgj8LlGxgNmUSkoK9B4kH2xfVp9dP/+BrnwwgtNFWWsZlWYw53nyEn2cOu82cs44KkLFEdQrRknsyfZrNf5xLrfSgUqTP/FX1yhPalGlZqsNio7pJb+Mo1r2No0USu53r3xbmm/vF1uPvdqKYLGhaKsr1AyjnSt111+HRSgFVpt1hXo1i7NNahYzUDwLBRSxiN5Idi1sjSIkVNwGkLR6VT/+u9+9zvZvn2qLFmyRFEdrpdB4KV2is9TngPH4IAmFpg5lSCIojkcuzSGLFl9efgdo8U1Qok+3GGGoEj5oaxE0IyYiARj/Vhd+RcbgUkgUyqT4y+yiturUuCsdXa4gx/PslNE2Uk5yk6npopB2ekzN6Skc0ARse3jYPAADYujXhplOWUS39lqAm8C/cRB3Ax6zKFPhC5IpxTe07B++e52ApgRwqTgGNEiom08BuWdDzGTpNNBdh/P7c2v88Zx4A1TdigzDudnbkpgwiyNsp6oZCBszr7qPdLtLpJlG38h2zuWy7VX10lNZQ3UnGqgBTFkK6QxSbKPMEqwJ5klVIyJdLusemI7ChMWyPyp18pFC6+TIm9QBqAbYZeKxGB6hbwkbIz0Z7xc8Drz9WaTrWMxfB5OKnnKUQRoDPZBYPj9g7K3fa/84dF/0lYUDVUH5MIldbKo9iUJBzsROhzD1fH6wCP8VReHZKB4QBomdsuo8CZZs7ZZHnv8DvH3fVbed+X7pD9QLb4AzB7EQ8DZDjdgUl9uuAR5aJQdUfdcWx9QtWiRnDPz3bJvY1b2b/6jPDi0X2bOL0Brj3noLr0V8Qp+3L8GvR8J1Npgmn5nbJwWAlv6cDfcV5Ow/Xvk6vPfIZWoJOjD2kE3MrMUA8qxdN/sm5E//inHgQo8y+p+5iBGYEwz3g4iA72/PCCtTVClgTJmMCsGoPdQt4ma5EysZcotMA+QZLtshx3gdIwBToBmYvKGsjNYDHc40rzjqMdTWRBB3axR6M2HWD3HxWQZ86oVHtcRod/j43X2WFF9x7eb17pWmnWyQH64nUlFaPBLCoXN92i5UTqLxwUl3tIi4xfN19Y6L1RBEsWSMhnJnkS0qLgw2obZVE54IxA5uvRheOF3LuM6dpJwYbLg1zg60w8hyaEUbXtGTZyIJea45Ao7hdEAJDm6sDGEX7bAWSH/9pbnwBum7ByJ07SeSFp3BZPlpLJJEnknQMnHN2vbhV/+cgt646Cb8DSTGVSK/ir96X6JdcU1a2Lp2n2IVemURPcUWbx4sVy16AapKKyQfgg9usiHB4FzApqRhRFmX0c6r1NpOXnkQfo2s0/YNZzXeeX1V0pFEJZOeotOBoMIcKRvG1361EIdUgif5eVdctkZl8mUaXXaQfrRRx9VC+nKue9DIKQRXEe71lIoOqSG6gb52Mc+JstWJbRz9PPru+Scc7bIedNcGhMUKGUDVVMNmx2LX9qwTWtu9LbNkTPPPFPec817pCKM+4KGjR408yPREowe+xSOdnr53/7MOaDjlVMatX6gwBRYrMnF6sQkzSgEcdLMBXJ0m+MgD8p7J28FtaMAACAASURBVIZ6FSUiEkEX7RwU+nv3wncrqhAeUcfqOHY5YpUTNajeZGXHMQg9TvW+PocfJoIRt4TKIxr+7Y9k1BgNZvo1czO7+gVhCxDy040ob5YL4mfGMuaicDammzGXJkPN1EnS2BxoP0R1iBJNnTpV3Yokpvr7fS8PD3j19yW/xVuNAydN2bGiRhEdcNUiO8yC0Icd7/xcjF4rzJFiUk65rwAN4dAXJdgg77rgM3LxnC65654vy4bnYrL2mTYMhk4042TxwASGYBmUmVIZN1iiZdannX+ZNu2sKZxgxBz2x3YEzKZQSBSBwkhe1JPxAL1AeKy+3nyiFCeDjNDOONkeVkSi0pC4S5KyqfEhWbvpPplb1yzXXeSVWcE10pXtkjGedWZ7lRr4SJwf71X/n73vgLOjLNd/T297tvfdZDfJpodUQhqh1xCQKqJ4RazYrqLXey1/5V5BxasoKjYUBRUvKkVRlE6ogYSQhCQkpJfNZns5e/b0c/7P887MZrOwm+ASQsK8+zs7p0z55p2Z73u+520+ZIrFuXqd25muQ2oDi+QjV7hQUDUmT77wC6mqXCDjR42XKvDLLpigsk5wX3h5kQ0ZbsyoKsy8PdiFeYekHTWg+mskvPibUuhaKk+jevmrq1vl+dW7MVBgmgy/CY36gld5FvmLvLmxGCzmyaev/grKaxRJub9S91cVRAblBBI1urukKkD7vdF8+7+tgdfTgC8NNIwBMoUBzgMfr1as1Jfnl9SoYtkXzEkH3tOnYwKCKNmt5JkPjjHJoZ+N8UWB4TrTP/vpj/5B5m+asraVwp8PHVNfAOCipEjSMJswM5cTTvaWvGFWhxsim/uIhFGdR1CSimag1z7jPGBNV4miNhbFhaipCIoio+ynURYHyRirpk+WVS+9qiUjTt9aqj46eYjYpDmyEPm4HOik2BdwysOgK7pfpoB0OElrdwe1f+9F2gp+7nT7ZMKkqTJ25hzJePPVJJYD8PIjwELFGmiQB8n4aCxpFqNohKgttgb0XngbSAo3t9vrN2hLABKmpRsVHKWv73/x+7KufZ2sfXmZkDHo6IVvCO74PDBARPonFFbIpEmTpMAJx1rTZ4TRn5wlDCdHE7OT586Txx9/XPPdXPOxJTKqchSKp76kduwcOlOCR+AUQ9jLo19CvVEVkihMuBjNRmVcyTgZM6ZAHZuZT4R5iNQ7chgB+aL0ctycjuUhpP2sE8+SOSeOkfUb1sumlhe1rllHN0pzYOaWHy7R6zJ94hKZXD4Ze69VsxhyKmr6/SDCzRk9k+hLoP1HdtY6zGnbP72dNEAnfTzzHg8eatzPHDQ52yfzwntuoKi5hC/8HQq7g0pvyirznuSgTMaIjrVM5xBAoU6N9IK8IT+dA1pkgIJ/XZ0H6cj+9R0f4pYGbETRQV3faXasDLWnEFIUhFhKhtNUQ84/53zZsDuivoJOTLbImhHA8FoRmDKnEEsya4ePhcHKGYWMWWOLPllZlJphtCiz0pNpGz16tO6cv71Z2Zn7G2y/eUdoYMRPkvko9CvLAtrWFyZvoaQD1+WS65DpyeAVQI0aT9YrHk5gMCCOBk0KUI+nqhgOtj1SXDJZqvLGyuL55+jNH3EV6IMTdcE3BP2clYUijkGZVCl9dPjwIO8d6lCZrA4bA+YEOU7xsKEbRKfmgoMsX0dcrJmf6dBk5e+wOKc43LL39O6Rjdsflqr6Apk7ic4GzwLcvSJhOtUA1KitG9md0YtgCR8EKMCV7FCFl0Mf5fCpyYOjJFIhSk3lQikvccq6bZtl0uwZUhuq0cEjhW35MnwbEM5LPaECepjJ0aBLL5RLFqYrnqfmwTAySc+fMksmTr5SQ/Gzzl41Kbid3TrQoG46GuWSnkirlIXLNCFjLy5KDnl8OD4Fc+Mlh2iwgxR9P+KXx27AEdaA6RibxQBJ/E5oHsa9VYm6UzXj6mVTxXbDITaap8xMcZI1sRjyzfsPPmZgRSlW7aVSM3NvByp5UzqCYfQnPmkuztPtzimdLOdVTJMxvUYYZjpkRV/p6v2g59DBz4FgzNjLG/k/uEd9I9uOfN24yZAw35GKSTRpHw1hFCalAL+n4V7Qk45Ivg/O3rMmSbp1l9zgNoqCTt7WorpbsqdHl7P2geHBAMCcX/xbXQSGHx3D/VUhBUQ7ptbppGn+2edJA8COAzX5kLpU/GB+nMyJlhmAttgAM19XxuxP6aNJsZkdVYMt0MBIpx0jVqJVD0sfInip8SFKo3+KRGKYZYG2BJJ3Y3QN+UMAN8jaiyaHwALloQ9hx9eBPD0UpsHhIEyak4M/gwYGBGu8ZmZ2tDA7tIO//PLL2n6a6zgL7entkXAYOW5icCrGM62mIL6xxGRhqAhkbkdunaR2KBwAZs+YDXZnjKxdu1Zt6wcV6BMMtIo6ewMfWodiNxyErgvwPdknDhasWM9MywH8cWZNoMPA3L5YDtfEpW2NIxcPOzQNQbXF1sBwGjBvNgUwuNd4lzN5aHVlNaqDjzWADX4YaGLS93wdgpB14PocaOljQgahEiZXhkZLNKa/vaNf2muY+lS9QqkDPjIogqkB+LyHXCEJ+AJw+fYjv9dirUxfilLv9OmjiZt9PaNveS3Z/9L3hpnd+cfv+SKTlp+fr0CHrA77vLrSOu2/4jCX8XduQ6dyW2wNvBENjJjaGBwCaEVcWUNvDDdo0B8UBwpPKtrmDA2DHE1VDmTXTIcwUhK1YJGMYVhk7pewH+HmQC8oIOPOYIlCNw76tKDjKzIdWmk7ponFlYdoB+yWAy+fQ7CfKvTTYeBAv19Ojj/gQcOSdaScDnSZeB1usTrhoY5DGEJQ4LOqr5sTObPElnYkrT2tEkm3SGGVD6nkd0oZokWyrREJoGRQl3m+AaeRH8iXQEdNSeFHiK8Izgy9ESnz+GRv914UU2yR6ZOL5J/PbpGm7ucklZun9Qbp0cTALG+Ix4hjCb+IaCcSg5UA5CB8FIwbdUq9syAzC2Uw6ipspaLVsQX+E/2DTAbpBKnptA5OLr+uwDJceHHmDRMEPudMW7v+aIp1Tw2+twauY79/Z2ggjvuWz4cHzh05sAD1uGs4wMayPnnfOZfI3x98Ws3bWaRcIOM7ZluTTgQWZXwS6WuT2g6D2XEyky8G27jPqaaQNUVhNYOtqi7WBIUrR7vkpJNOkJr5c5Ahyiu1hbhz48iqjPuZwFxTZGDJ55lOswRGPN5bYVKhCY8AwXLGNkxBb9U81aF9UIYML8SVwMOvtm04CNOdAHl3cuj0c/CJJC4NprzQVVb6cN3GVjXI/M98WdatWycbnnxEdu7cKavKAwp68vrytYCyBTKjoSK9Ls3BIgSkNMjsJRfKvNnzkFfJcIXmJM8J1iYBZ2g/O3bMvDJINOnyD9WHD5j8vTMeFfssD6KBEYOdg+xfgQ6lN4ZcCQFQkPhjjSZ2WIwy4g2vTwlSjLPjcJu24VhXj6J4ZxadFRkAgh0saYZy8sFDy5nglAP1sSzMQLx3716dCVEfXHLm5CTIITFigp0hdUDvP3SUZIjKkHp+N68FOmtmmub+aHu3iHJj9kxzFXZM5oxZkE3fH70EBDkIU2fn25+8a8gDGz9YfhMW2WQt+zczMNBB9mL//E7WgJaBYCgygAaHeP53wxE2hwLCZ599ttx7772IzHxF/XgYaUjH2ATyToQcIaTjirGrkDiScsbwIh8QwMPDfRHk5KqKlHlgji+yCLlALRyWEwA6yGjsN/op3u8EOxyMCZD4orwVQIfHYVsJcCgW4LFY0cE+S7rSmyh8fuMwDRaAck8gOVcQBZE1J4UpjKikfhwwd7E/YR9PYfEOMvHH1UyVyspKmVwU0vxFsQ0vCbPmF8F3j6CHgJHb59DX0PeyfN5JMmXKFPFXT9B+jte+O9EtXmQZZBSeB5NVq79ykcq3xdbAIWpgxGDHNOm+bg4dtoGPaCwZY3elnZT5yOoN6wn4pQP5Mjow02fWlYyT/ILRpFRxCn4mPtjneXNjZscNAHjSCG3kg86MMlrl26ptZTaEnv6GWLZy48HEHvC1kZiPfjFZMAp8HWmxbMtKSwEJuNl8nKvVn7DaTE9fCnXCwuIMoVI7ZlRRnHsh10fPb8WKpD1G4pBs0Ej6FciYxWbScFLAbDba2yYFedU48y7xhGD6CzdKNrQbLA79cZiNHzNjUPfouuDMjFIUqH+lYAiOUdQ/o9l4Cdw8Ikpe0IOCzI7fYZrCEIGlkjFT05o9kpVTwyx+jFwmRjtzDiPlgDd7YO0fYyf2f1sDhgZ4r/POY4QgYU4pE1Bh8O9D1F8aPne9p58ptbhvt+QFZQsAfE+2RbLw/3B4+jS1waJoJZyNM7I5bKDqptJ8HWTXFQd0oF1dEpYJEyZIyXlni3vGQtzfYc3/FMOky4cuhL4qfA5o7uLEjECH21E48WCQwOEWAhoeazDgYZsON9hhrGy+twBsF84XdSEU5nkBFtm9YKYZCBP84D2TARKQdcXV9cABxqcYDFsx8uyM85VI7oSlcsak0+SZ3o0aaLEluU8i0CNBpB/6Pc5XpdG0C0MToWPs3/Stiudl4QMEjyCWDIGk4xgpcB0KkRIDeHf/TM0cN9TxWWXEQ5u5H3txrGjgLbsjwshQSomlMNPCDe6C4yGXvHE5mNImS98Ow0Ls0O8Z+UMhuocdTDs5JrBLoF5NkrMJOM2CDzpWroWen8oAtoOzTHYCbT3wv0En4keobRuAS6GyOrx8JvUynBa0mGpOurJdcCRGSnZ0MpwFc390FuZsmR26AW68kh/AYIH9koWjXZ2dLAEiZ5UezIo5WGCebFyX4Y5r/2Zr4E3QgPYJeCYGmoQ5yeFAX5JfouxOPRjHxx57TBKbduv9yYgqpjxIbdiBaMRe9Cc+/Y6/EQRlYQajP8nkyWM1b1Vgxlz1OyEjQUaB+TZTQOrJWFRNVtzOAjYWs/MmnNpBd2GxSta5DzRhsf883BIBC6Pni/NXcxa7YlwM+k6qE5+ywC6JIvM0++ySghJxAwB60Uf3gmHLQ4JY0mkp2L7zAEin5k+VKdVTUFaiV/t75FyWQvxVws+PAiOX+iIGE7gA2H08A/BEMx6ALY8b9gbRHoQ/ANPEsZ7ffzBq+3BryN7/0aKBN+1pGY7hId1LvE1Ak4Ld3QcqNI6Hgf48fviCsDYK8xqzBjhrpVBSqFvVgRkWbmflapA4WWlRev7QjMVSc+o4p744ELANFMtsAhJaP7PyivG9MQnIImtnFjlhsu4eDW880kKOxBCTZeICykIdVJU4zHvTp86Xx573yytbumUxotOiMEYl/dsRDepFFISxXRrdNCXr3aHLNM1XELcCKITRhiajOjnyV2AG9eIamAgLp+uL9YZc0Gs0js4q1St7Ix3ofpRL0+1ZjZXFSx3osBwwIebha5dWazf1jTZQGH9lvjlwaU60HNwBxGkm7smanZuxsv3f1sDrawB8Ju5F+Hh5zAK6ak/lvB1urWB6IwDg3vxaGX3Gu+SkscfJ3omPywsvvCAv79ikk6ng5TMU3O/CeE1GOIItCeqnFY4RJyYRl5x1gRbM9aOOHlnWvHbsnLcyXN28vfBMq9/fRbIf08kZWBbui/shCBpezOd6+JWG/JXHIajjQM+X5b9zuBkdq0FhB3z/QOb26GliouU0uOTKFPQC3SdRMd4LMJgFsNSewDxdb8YPlwToC3Nc9hSeXsBIrF9n+knWw7fHAkpqH2dCNC4DYMsISOGCyK6jMA5Q5UF9MDoMUswJIT2xWNvQmupZvSiMY7qaG7nUjPWNhf3f1sCbBnaGUyU7B96jMcSH5/kNBM+HmDZY/rareZd05Lq1A0miIl5FeQXSuCP6Cn/01Ke5yodBP4UEYFkMzh54uZJ1oJhj6XCHPzp+o4L4sFOsJxdvef719fUG9Q5Hv+i8AinMQwXzXEAyYGYsjDHUSXJGxdUCeYiSQOr1zYkoqqTvkpoZZ8nE0okKYGIo5U7dM8cIO/OeVA+YaiOqghCU4Ab+hmCtEXmRiiLRIDsno4AnhyKddbLtZkek7eepYGn1UTl0dJQcO7WBcsxcwANPy/705mmAtxPvMXVYN31XrAK67dEeKQnla9b0kpklEhpVpRm79760XKMNV23dqAxPJmywyKPLqjRvy8njjlf/ntIS+Ogg3LCnr1fBCxkMHUE5aOf5NKqT9bLIBtH3hFFFlLfKSVjbZAqZVQIumq94/LcK8OTgM9hYl5MaFG1mX6z5zOi3x/YUoFANMtl3oXxEYbBQUnEARPQh7Ns5KY2hrV7o1Gea13VOxjBZBKOo8Pw0bBYgln0Eih2za+/vAk0wGYefoZqvyip12dUbk7JSFHq2xdbAIWrgsIEdawyjd00GLAMd2Cj83x3rlle3oFoxbuTIio2ybHeX7OhrUrp4HzJsVlRUyKj6SRp+WF80Hp1MuWYBdmc8kgHS99CYThMOBuh4fzp381TMQnL7qxUbmmDfpS/WgHLi9TZhdiwmSltJsGAyOj40ln170AUfA+SWmDH7VFm/fr28sCEms5DfJpGpAUsGv6Yuw1lSArSqwzHQh/w6AySOfoQRUL25ajVbrV2HkPX4NNSoWiobO0bLK3/7uZbdINO2a/dmiT0Zk807t0PZ+VJeXi6zpi7WZW0+IurQGTnSIfjzIDoFemSH1OOr16MxxxGbz2PxezfSjFFQQMJcGiBX0kbUmJUEMecd2cxXd27LMasBL8dBPAdJOCPT78/K6OvIefV+KwbQ4f3Gqtq9yPIbL6mSEEy08Qm4T3Ffv3vfUgUqTWVB7Vf8FbU6iapBbh1mDqfnWFfSKa3Yf5iTKAR38pBeEBqE5y07dsi3v/1tdWb+6le/qv49BBxkWA7NQXmk97dRgoWTETpSU8hY8fNbImu3yA9x/ndOzcp1110nUwF4WN3OIn4xF5Kvfet6ebR9u3z4wx+WK048D4yLweR3dPdJXgGvTlp6oUyGjjOS04eIT0++Uc2d4wFZeMbYUTA1U9M5PTXVfxMRuX2NjfKdH9+ivj6f/drXZRqKCecDdEbTqBnoNnwz+wcyS91WDrXDNsK9Jdq3D/ImauCw3woczOlnozc1eqd9Hftk+fLlsgnFO1koMtsRR6Xy3dKU6ZAxY8ZgAN6tXvtFpRt0kF007RSdic2oG6OTOlZIV/8dfTKwVz5Lx6goeMC50V+GfgUEO6tWrdLQTEZIqC3dzIEzlApo1g/AwbAt2ie7du1CRXnD54YREX/84x+lds0KaWpqQsLCap21Evjwc1/SLfX19fLKmt0ye/ZsOWnmAlyPArDMuKJ4OUDZWNlUhzo2v1dTo4q5tBbmkveFLbYGhtSAOXjxnlNmxxQ+GyQCCEgYDU1H+CKYNTozXfK///u/8vPffgdJuNKS38lBFslHT5shN9xwgyyomKLDaizWJ0UFQenBYFoIBscaI3kEdoq8PTkw07eNNfp2APR8+tOfPkSA09/MEb9hxCozlFv5gJiDhkCHYMsyb434IMPtAMzLs88+Ky809kjPtdeKw19rrE1mB7Jt2y79fR9ATVVVFUAKfAtZmifJ6KkgYA4KPWvvj3BzH8xd2qMRnLIiOvwywfTzVxZpZl+hWXeQR4eODXR7YL6jIMyNBHh/+ctfpHrSZBk/fry4ENziAtCx+w9Vpy2HoIERg51OmDP4V9qHmxi2ZadZDMsyX2T9QObJHnnVm5Yd3h2y8qe3aN6Frz0XlxPhwOZz7NNmFvVh4F6xTgr7DJr4V7N2iawX+VvqRXn81ZBceNrlcuaiM6UXJSTotFsHB0MYhRGlxXB0zPnS4HLQ+9Hk8nrOfJxdIHUVzDaY0SFzpytZhpfBMhyCnoZcxZpfGUaaAdhr8FNofR60LABTcoCY/tbW/srUdJeVWSWnyNLZvXLbo62y0xGX89/3n7Bg+eS8wi+p/v0ppGtHh8A/zI2k01GhnYdDzkMF8pT8wTlRHtjwgGxLd0h4XJlc8MfvyAToa8kKFFGFT0PVQ09p57lqgqHHQC9yKT//kMSLJkjgoXvk5g+eLaeffro01J+Eo3pkSgxzL5w8Ktn0N5/b888QRGAoGB2kY+tnc0lz5MBBjNta/glWmO2Qyrd/OOY1kIVZm+JhIUqd5Fg3EAZb3F4Bgn58y4geDqq9e9ul7cV14t+egTlrnoyvwf2LSUFrsUtmTDhOJrQC+cBssrXaL43SJnOipaB2MtJR7tD0DKN6EV1Fh9sAar2BNc55UrBsgevBwFpUVtp/t6dweAQnIQswfuPAD7IjCwaJEZMEJinYfZkWozAGphVMUBQPtM/lE3cqIH0dCI2vCEl3slvq2e9hktHnT6AUTgdq2FXpea3rjEhNWViKMqvl9i+8X64H47oMoKIWTFYQz3lo23LxjxnTf/33eWr0PY1ewG9S0btSJ4Nt+XP1e/KqZMaCYNXVdJSg7xNWRJQnBe5J6GeQ1oJZQiF9KNgbRhmIZMN2aRy7VYLN75Np2WlSIz3qQpAsaVMHY1nZLTuXr5Y5H/qqnDRuDupjvSJdiS70CwuUbovnhVU9Xk+rluDw5eqoXrD0XShkHFAwpAwOzPIYDsQR2AW/QOQwSpUx6AvmRyaYTctHP7pUfve778k9T+yUq7/gl/pAO3w+WdJjlLa32xzJCmCSp2TMFM/W3aJf2vKO1sCIwQ61p/4zvIM53eJgbg3o+taYka3pWiNPPfWUxDFD4uBmzVQOpn2yP4yioNMhB7/xcy+QQneh+qHwcIyaOJbFg6i1NJyqGSGyaNEi2Z5dI88995z03N0oF1xwgfQhhNtDR2uAPelNSTewkx+dMG3rSRQRZPTCms3QfWOLMmkuV4Xm2eGLIMrIkQFi2rSNZzJw3iZ4ZHkNdKrUOXPyMOMyQUjnwoDMnjQbDqPozGkDsHuTY/n2e9ufm0Z2ou+h3w3fM3KRbAjff/GLX5Tz4LjMvqkN5QQ4SWp6dK1GbXVfNE2fgfu/9w/Nr1P/lffBSxAPD/qUPbjXf/jPu5RRWXrqYpk4caLsbOwwfGXwmMXjMCnBVNPe3i2lhQBHpE8xbN9zzz1y/yPLlJE+74p/kxNQjoVAJwLzy0/v/4v2f3NGz5WTTz5ZZl5wGnLXFMi6p57T9ky56ERlXh+/6wllUi//wqclBjzy6He/C2ZpI57tEjWnlY5qkK985TNSSaCDTvDOn/9cVq9eLevy5slZZ50lV1x4olHGCse8+667pG3uVcrUNq1frfoYV1YgzTjObT//lfbDu9siut15l16MZ90hrZ098sorr8gzTz6sbNZl58J5G2CMkWtQq06M/MhgT6E5kOww++NLLrlEmbCWSIsU5xfjeK3yXbQ9XmT0LR/4yOkytWGq7NkdAwMU0GP8HG1nX7Nw4UJ532WfQDJIkfZoQn7/+9/L8081ar9/9ulnyamnniqFYLMnT54gT+9pRkb5Rqld5NJszXQfssXWwKFoYMRgp1CTfSFPDp1q+ABgNsMJQ8p0RN0LeL+9Y4c03fc3aYP56txX2vQhK97bpU5sRd3G3drnNhiCKjJEkMvXG5xJRVscDoZOeXn9C9K1uV1ay6ZIVcN05PVB4VCL/jiUM327rGOoqb81Cb9x3pbNWkM6KfBJoPRG45hhIaO0lCJbdFCuPO0jYL+q5MnVf5NHW56RlrkfUHPT3GKE5aOKOLpWjWzbAdBCG/fTz+5GEi/MUHfFZZyjVk7YFlXwctVLPUqHl/cZqfJLUkYujyUbjcKiPSgZT6CTivShRlmX7H10u5SuicimqFsmwdkwOXqWpMPw3aGDgy22Bo6QBpiglBMqK0TbCkmPw1mN9zlv0PZ9uyVRXg+QEsBAeY9c951vy5Zbj9OspMc1vSC/+dvtMq2Fg/P/k449y+V/vv1fcuv9z4oHPoTLHvgrwAIyMdc3qM9bJIIEe/nGYF9SUiDpni6JRqPy9eu+Aubhd2BrDIf9B59bqUDA37xOPvvZz8rybX2a7PCR7gfl9t9/Vz7S8kf5yIfPl83bHpXrvvl1id86Rn2Kdq9bLn/4429kQ2evfO5zn5OVq9bKnr1QLvrTf9x3n9RNmyOf/sQnEDm5Tz7+8Y8DQK3U/na7d4c8/M9/yvrnL5RvfevL0t7aKd/+zv/Ji0XP6ZWpDnnUcTt/8Qny+f/4gjzw1wfgIwx/SkRi/umeu+W/cbyPfezfZPuWrfK1r3xVnln2iPavLy4TgceBeMcA7KGr9nsNH0GENCATflpWvvi8hOHPxz6I7SjPr5Zf3/lr+c61f1EH8TZk6GFyxrWrX5Rf/OIXUl9XKHfedbtc/43/1WLEaYCnO375R6mpGCVz5syRL//XzfKb3/xGCop80g0w2dXWKbNmzZK8CgHYmSz3vbBVNmzYIKcdP0HcLLhni62BQ9TAiOHCQBMEw53TZBggLrAATLUeSUXk+eefV18TK706Ow2+PxQzBaMRiP45C9u2bZvOYpq6m5RIos3+WBeeO8XKOM2IiCsuvUJOO+007Xz/9Kc/aSd7xx13yP/9+f/k9/f9Xn71x1/JL3/5S7n99tvVZMj1qEfOdtnhcubLlPq8dpbJj+8Hm5N4XDp3kvWhcyTBETsaXs+2zg44Jb8DLsCxfoO9zc/PMmkOtWTzeX+HgiH19WjvaNfaSjSdkMnIB6Chz9+3vnWzFMGWwz6Hv7nhX3ITBt9f/OIGKQE5Q+aSY+eKFSvk3vuWyUKwCU888YTug8QN+ys+A3yGWlq7wbaswWTC8KXZDDRw2223y/HHH6+Vvh999FF5z3veo3l5/vznP+N5WafsyV1gWn5yyzf1WeQzG0MUNyPFmCqGwRmf+cxn5KGH/gIn6FEKlEKY5JDNmTEDqf0QKXnHnXfK/fffK3VVbrn77rvlH/9YKVdccaH87Gc3yfXf/75Gi/31r39FtGWz+hrRnzkHwPf1r39dHn74Yc1HxDb86c9/k0996lPy5ZYyxAAAIABJREFUyIN/l1/96le67m233SZbt+7F8R8C0FkmF118oT7nS5acA7Zsv96SaWNyRtMTo2Itx2mya/DhBrncK7feeqv2MVze/4/75fOf/7zq5aabbgJIi+tyM5idn/3sZ7IO/cm3b7xRa5LRl/NOnOPixYu1HQ899pA6hFt94BiyWeiP6Cz+VuY6eps/InbzDlEDI2Z2nGAEaE/qAaVDs4kfMy0fXkw5R1+SbbtfkZcwW5m/ep8OsO95EbZedhw+mLLamiTEqp+Qvn6Qbgzuk7uMgXR8FLl5EArtmQTfDzAMdy9/RMpL/RI8BQ61sFBXWU4zh3jCb/ZqQw73FoNjmfQGMTqkyylx08PYYnY8pl3IZeavKYWTH70nA6gMX+WpxGYp2MVL5N/mfVR6JvfI3Xtd6Ny2yLKXlyldHYYvDenfgukNMn7BWKmeOQczs80y7pePKmC85inq0y8NHsxSu5FvB9FeWUR1MQkYJchS9LieeVEmE8xJFRMR4m/0Jtj6IY8XwGHyqZzcP7lWTio6ScbhKthia+BIamDwpMkC8Oxvpkyo04GxqniSPlk92VfVgeXU2e+Xd589Q2oiW6T2pyKr1sakZafIc6v+qX45V135UTl+5nRZOHO8AohHl72g7BEH8P8EAHIhYiiDz/fd+Rt97jgnOe+887TsBBnrOYtPlvbuXnlpzSqBZQbg5q/y21/fLfU1rVgfAK2zEakjRDojm5EoVOTM8z4g13zoCjDjjVJeEZDNG2Oyd0+L1MH0U1wzVjKb9sqY+tFSg2jrKBr4BMxfrKBzy633yR2/v0925+Drg/a4UfMrjkSInbQpAb3NmH6KfPADV0kB8lwF4MdCkxnlV7++Tb5z0w/R+xg9WKCwGyV9+rSPCAOAcZu5c46X6Q3fkDWr10vnvrQUFbNroFMwHYn9CNfvlB07N6mZq7YWBTzRVa1BdO2KF9rE2xeVq6/+gHT6gYBI3qcrkFm5ACHjW2Aqe0UWLDpDli65BEArKBPBYLX2rJU/3fsQQtfz5ZILP4qCxVO1nSfMPg1AEFcOJSNqagy/JE7AmBIjAeBkGhR0XVtsDQyngRGDHWvnHBCJwBmlw3GcQKcXpQrIxHR0gAXAjIje9x3xDin2FyOhXZ50N+2ilXxY4T6ZuZNhnnzPyC2yC5NmdqJYn1n0ctg9HP0/RiKIaEO6e84wu5JRZVpKg6X6OrmyWKZPny6hpQt1Jpkfb9W8IK3oePLD+egUahCBBaob/gfUIQcCgk2Jwzlc404MoSlArxx+15f6WtEJMyQZlPtg9BaP63IFlZ52AWCxYx8n1Ue/gu0zOKo14IWncAqMA33XSopLlL0sKPDLD37wAzlvyRm4fxNIhFAGvx7jNMkIs/6SpnfBTa4uNxjkueTATd8R+t1Quro6ld2sr6/XwXbu3LnymX//dylAFl+CLJqe+DzxWaEQ6FA4B+N7PjeUK6+80gh9zy3X5yhX9lF9zPjMsj1kdihkLXg8N1I/cNIiUWOSSCqbbAmbzNrJPDaPeeUV5yg71FQ0W4/nQ+qN2dPHSuy5F3FKqEYOoOcHInCh0HASZif6IVFYkZzbdQFw0SdpdwschpF3aOPGjRJBRKYFGOlbyW14HkwxRDbHEjJqZJPYrqYmpH8dY9S6oh4XzlkoZ555pmyLbdRzLC+crzonmNq3LyWTxgSU4YpGs2i3kT+I7cmBPSYzZ4kCHQrOV/utAcIxRRVti62BQ9DAyMGOJlhBiGbShYmFR7JILsW5Qie89pu7myW1fI3UNvfIKVt7dGZUjnlTHgbaLOJBuWnGpEa6AgbDU46bn+Iyew8fWQcAqfpWMAwAO/npoMQad8pzHRvlxMJS7I8D89tYDtK8EOIWKPCO0aW1Ogr8qiAHIM7fgWgr43NhjskWjQ6ntb0VGZWRTwQVn/ehFo0LT34JgKTgBY5HN7h31/OyesVq+ei2iHYi9V1RzOaS0u6KiB+9ZjTTqx1nEXKNZKlz5oOHtGNzdsYBAFYXUvFXxJrFmXLKzD4kgozG5CHMSKv7tslctw12jCtj/z8cGrAG3f37HvxAGShDzbAmYNcJEgZpTq4ycDRxwc8kZIIRH5xn25H6yQ8WmrmskCFTGNjpQRh6HkCEDzWXOvHM/fW+e+WkExfJJgz+9H1r705qYMCcExbLooXHSxqlCrSGE1gUHo+h788884x8Eu8JWO577Ck1a9WOHgvgslHORe2tiy8+DaFFm9W0vCc7noSt9PWiijrwUFcP6B70hcWlyBMEqife0iRJRBsB8UhjBxqMZKqONJgMbMMus6C0UmI45gmLTpb3f+AD0pNXJbv29sgjMBtBDcg/hoSIRdi2uUW6OqJSWBySfa0tMnf+PFn50gaZPnOGXHTRRZJ0BnUyugzgiExYTVU1gt7csh5tXAqm6sllzyGvFvogpHTvBLnbi5pjakJC3cLyolFSWIToslgnXr1IMVIE1r0Ofjgg4Tub5WMfv1ry6vIlgQipJx55GacCR2f02ePqqmX1Syvk6aceV3P8U08+J/mohVhSwMiqCNinv8rpZzco4Lzj13fK+eefL6jXqgw2kz4SlGWQIdnVn2PtcNx59j6PNQ2YUGPkp0VPfo3eMXeVAEdLhoFOgux4iP5p180LlWNYT8q+zjQersEd12vbkWNCQszYOLPg/jjz4syN/juayfMYFx+wkB+TRfoZkCr3IvwsHkMxPITclpWUSRwdIJ0yg/jTwqj4oz2duunDH/PmcAbGDorXgBEpfhTm82E/MWQxTSOPBcWFa8frw0/mhBfXE+bJPjgW4DfuW2uUQbgfVmLnyxZbA0daA0mMxmR3KC0Y0Mkk9CHB4Cc/+UllPSeObwCrsBSsMLC8mYyPzwUDEOlc3NyMex5sJeXSSy8Fe1Mst8Gfh1FTjHgkeKGMGoXBvQD1szCY8/lRAVvKat1Ll5wOc9eDmgiV0VQ//OEPte9717vehe/C8l5EK/n9leo3c/nll6sfTSEIDD5zfLb5fJK4aGnco/2lCyBHmQz8TgaVzMZll10m551/hbR0JOWDH/ygjK7Jh5/Pl2Q+HI+rRk1WcEVfH04iOYHZjWStZHvC4RCckcHClJXLKaecAtNRSH126Pg7Y8YMmTdvnvrshIJOefe7363n+aUvfUUdgq+99vPw5WH4PfoWdO55oTz1jYplYgitT2r026vwoGbkFoLUZMrEKXB0frf2z9x3bV2t5sV573vfqyx/UbhIPgBw1tHaquwSz42sF4EkWbPzzr9Aq9jrdQPjRL9D9vvUA6PVfGB/eEyD5TERrHEl7P+2BobVwIiZnW6wjLBeS0kzalYptZtRCtSD7KRNiIKYuM0oEHccEk24+TQ4UHUbkQVpPOh7MRsrMvsMn8lkxD3GmwinMBB3JCthd1qmIB+FA0h+RifywHR3SHN7B6zGqNkE3xZ2GJTBs0A+8NYsj5QpOzquy1kgOwGCgNeT13PUfb31Xu87VF84QKzQbh53f4I9NRLpZzcVSOE5ECmaeUX6USO/I+GClMNZ6NWLOlV+gwySaAzOmOisScGkSpjOC4m8clAsslXTwNeXjknB1m1S1bRPJu7eo0CRVc9R3VBWNaS0k53WSpcg1B3qM4DMngKjPXEvrwN8dnB9+lBBPYiDOpAKfuGrParnv/TGJbprr7jG7Nf9QP2PRIeGQuz/tgYOrgE+Rxz4WJKA9z/vOw76bW0t0ooBNYuACZ8f5ibcyJHubTJq7FlgQ56TMbXdEsCz5fLNlllzzxVHbViaG3fIiTNPlP/39Z+I6we3q8mcoITggz477E+SmAnQesKBn8+PB897MRiI66+/XkHPXX/9hzIkV119tcybM1OC8PkJBkvku7+/Sx1++3qK5f1XvF9OuvoKPblRFQvkJLAtbn+z+JAuOr9kojTUzZG+YCfOCQdzheV9H79Wdjiq1Xdo/OhKZFXPSPUJi+SOu+6RW265BRFmL0vInZVzlp4rX/ri59U43Y6koGddciEOMEsiXRGwIQbTexEAE8PIf3zLT5VhymWdcvmV75WrPvQJdjMasUWn6L/e9Tt11r75ezdrcMnKzonwkckA6KXQTh90CZa+uFxOP3Oh3HnPfUgE+xJ8lmaxB5Ibv/UjGVMwSZ2MNyKSbcrkKXLBRYsA1haioGe+fPyq66C3oDpZ06x1+eUXytIzPowaZSXy9f/+kFT+HFFez2/XvvoTiDwjuJHIK9jfowCOl8A8dhyu+VaEnpsd4cFvE3sNWwO4Nw8ufAaGXK/THNUKm/FgYraTzctop7DW2SiPPILwxW/+Um3QH1++RzujAoQiMrnVHozJ7DAKjbpy6mNCqTCqC4gFdqpQBC4OJqEtjsfIHZKbTp+kzM6+Ky+Sa6+5VmanCw8AOdaAO3jJfRPs8Hs+YD/60Y90tsJoi8EycKAeDKAGrzv481BzjaxZmJMsDDtoS5xRU7Um5hHQ6+xFM7QhQVzBgMCSp86IYJdhaurTzt3hQoIuFqyKYNaDdWOwbZN5CWWZK8QhzQA8fXA4/M29d2p+j/+5b6fub/6+LeIGBf14fUT1P9kw4UsZ87lDdmp6d9DgCnbQV+J6cL0AnJqTYJOeqKnVAeUTV07Ume+tZ39F16OerBc/Wzo8FP1xXa7HQYXXRH2/8Jn3D6NWmK+D9nxlnvCbBW71wLYcVAPQ5ZDPLy8VXkP+jmsz1C190OMenhUMUG7tGyU5ddLiRtI/hqFTyPSkUgkj2zFmHx6wL/uA8YsKUaMJ3js9zDdVjsK4eK6KHWAncV/1IQknBTmVYWKPS9wJ9tOLhzITwc9u2fDqLpk4YaK6iMTiMKcDQCURuu0D8FAxCxHTvKMmNDybfKSDmCiQku1GFnn2i2GUvKF0mNPM4m6keMY9nwgaszsvEoA6MCnpRi1ArhKKgnbC515MYtjveQN5MHM5YYaLSQKf+SywyngcxZV5oTIAdx5QO74M+gXoZUssJBVgcrh3+tpVM/QMEgdj68eEL571oD9w9ru+sNpOMpmRIIv/kvpy4viQzb1VyDQNdwUEMrAP64gjuIETyJfXyDnnnCPJ49+reXPmVOF8KQkDEbLYMsm0nLMdx2FSV6PkhThZXz6rTHQG2UlzqaCCSHH2oChxFJH2ZWC7YGI09ib33Prf8uGPXien/Nt1csftX0eQRituWiJOI2lpf1JBMFgUO6mgqbh30OJg/Zz5yP3rGonjdjSMV9gVZjpO2lo48GEWEO/plZp4TtO1MwEqB/w2FJHkKiyay2cpbDDEqCtpDLahlHF7WyWf9sHejGzuUutGplNQvROimKHh5Y84pRi2bFfR/gy9r9enE9jwezI5XLLDobmNr9erbWP17W9ksB5Oe9bDCu5EOwlj5Ng/thBIqFhgR5kdRjwYJroEjEppH2ujs4IMTE2sMQbG3u1k9Rio2jlWN6fpid1uyLTshWGecseC4t/VKXUJr1TAfKWmRMaaYBbowYIOh2VMDKhitCmXMzrdIpqvIAFcLGZKVp8BLCa3owPCdzUdPqluN0wHuqIttgaOgAb4XLDALTEbCw3z+Sbz4GXtPBXjfi4uhAk3gf4CkYz5pSV4upBU0xGDT081nims5YpKD4qKphL5UlBYDtaHD1IagAgmJYAdAh0KmR2rb/B68fACGDFXTDoT1/7EybpP6Nj4PHIPOfj2EDR4UBRTBQ8tHiXpQ20+7qfYBSdkOPzAYAwmFskQUwD12C8sRcYTGTL6N/DaEigyHHfjsKOl0A/Q/yin/S3qBWLXZF3YndDoLK4QfJH8UmWCKHYbFWB0jCpi+JnpiSHUFx/vJBrLXfnQR/sB8hxmJnzQutrvEuhQ+vpi2pfm+Y12hcZWy/gJo+WO5c8iEOIFmb10jrocFOSxJSwBATDFU0c0GA3rse4C4zj5KLzKyRrWScPlIY2+iqnFPIEowBy+hi8VdcXwfJoa//73v0tttaj/zn55m+HwAS2z3779NDBisNPPUrDHoJgTQT7INOFYs3ZrNp7FrCODh5uDvGl9GlYrKHcjeWE4xLWlpSOyC17/Ls3JEEVuiGYY22ONyDEOsYDOQMDD97Tfk9HhLIQzIw7UBECbNm1SupmRXZYMBjr8np3BGxH2EQMlCR2oCQszNUsXbJdlXsvvRZ4NoA53HjpFfB91dCpzw5B0ru9D+nl+TsBPh5+RuFXPBVyOziCLO8q0jdsKUX8Mv5ckGDHlQmFPOCJjZsfZnHVealLj6eD3DCIzhp3vmyfBDpAvwi/eLDy2VZdHoyFssTVwBDXAzMkENxTLVM0+KYGikxx0Cwuq9LlyAWwEYfYgEYNbX7JIlRFwBxTowNcVk7Gc5KMUgysAkIB1WIqA++OzlAJT5PQEpBORWUH4nAQCBnDR5wJAxs0XHIIpfCZVMJDz6XDQmdcUdaHGz+xS6GOnaEYbYHQaQRT8dYWM9XkEayhPY59JPNvGRM2FdiFkAZOZJJ5vPTcynmBNvAAwA7sf9U/CjiJ9OclzIvTcb7Qxg/4khSKa7Fc8AGfcxms+yoBrRmuJgHgu6Juy6C9T4RIFemXw2YkirNwTNBkanPv3kePn5OYy+CPBjOVg9nWz5VAQQRTPl0neOVljpJuK2w+QZbQhAAdynxmWSx3R35BEGfsnTsgCuCbXXHON+hmNP2O2bq6sji22Bt6ABkY8WhUhF4ub9515E0c9/IwaK0Dm+fDz2Ipngn52O/E7H9aJyObLh9AJKhhBRBDzAex/Sg1qohT5dSh8WDIRhI4ie3A6XSCRUaWyAQP9o7CN/wE26zyYtyx5PcDDB5ovdlwKDpCciyYRzhQImiyw83pAxwIn/Qd4nTdmMXerv+pfWowOTXYaNo9m0pynzofonJwsYodOocdl0O0ugB3qJ+nqVf1kzQ7QkQRtjZmUF2wWHR59YMkI0nygWwjexDtK95dE50oAVRlHxwsQ0o38FjzWhHlF0gYa5+VipAJAZec5e0hj++S4fQkAQbw11Zc0QV1Vj5E3B1dJzzaJfDw8F3aCDlzXHcUoE4Eif0lnWDIezEptsTVwBDWgYdz4421M5tSpnREGSbAa/jK/QnQDrMcBYGJ45lBRDl1ODslO+2j+cuWp+QTB67qfpFmrzkfmAyyHB47PaTMXGI+lLAWE43kSnVMgiweSzw6JEozOXIcSgTmJz3uQfjf4PQffG4rDb/QMKbTLeMJgJgILlZFCnUR4E3CUZv/gKdLnLp4BRMDvwX6DjtE/5gAWgG/6BUVlJEGWCRNJPv9pgDMHtqNeGHrOAAMCnBTCO2m+CpKVglhei9yrmpsAotgPMQJWqXe00wkTHE/bIIPQD+ATdqXi7WuX4mnj5PxZ4/QzMCZAFfsFUMaoG+ZjdAUknkARUFwID0Clh45O6IM4gQqinI1uhx1ycuZBsdAAamZRn9QxD8PlPISxU+CyiX4P32eN5JEjHsB0r7a8EzQw4nuFnvkq9NbDQ8YBnDZYn9uneSV68MBw0NUBHDc7X7oO7mK+DiYhnxNJubISg7MtWRo+yAxJ/LeLL9VaUYUIdx/M5nCf1ncMtybYISBQcABhSCqBDkHDhz70of4mvB7gOVj7DgZ2iFkIdphdmmYknr/mw0DVXh7PCdaqPdIuO1s2ae2qXlR/53kWwjzH9iUjHm1rJWpadUY6JYW4We4vjJkqdRpNFatO4mY203KU23CBReoJgJKH3m+790YjmgEnouwae34eF30d3x5M+tfDNqTM2SHzuDwm22eLrYEjqQECHJrHWbqAeXYIWPh80zyigyaEgyXFYEaM9z4PUpLixUwL/J0MEX83sQr6DwAQUDxpxFFroj2ETllMpuWk7EcZBMkQOXFUBmzA85EBwOBz5geD7Q9jIM+iGiaEXR3mhcZDh+Ow19Se02RH+az60R7kepAUoo+ygSLDJIWVuJnVh+WQzJDv3WCptCae7hcMCvzz2H72LRQDEmGJjel6ZMXJ5gCe2PHCL1mZL3e4FAEjRvledg8+9B0qpltBDiYk7afwVYw7xeY8P9Zk1fNhfiDsD92w+kCVob9WMfsWsvgusFeGqRHfo0PUfh+BLGwv9c79+QBOfXQ4dpjMGFaJwYblQ2ma9vY+hLkbu+UwUwBrXgHMkQOPY3yw/9saGFoDIwY7HvjkCGY+LXAW8aPjwaOBo6EKN/4YhvnM+CKEPyPyaosRGTWjk6jeJV48OVzTmBKJNJo2YZiyVYLm1IG8Ah+fnZOK9aF4ONwrhT63zC3wSqayRmrpwDKMsBPhbIsAwUpWxVBG7ou24CqkjR+RGCfRz5BYHy0cgW4F7ce54yB0yLPoV0awkRb/w6t3aQbWzbvWSWNjIyjiDm1bCDM7tnnpvHdLEyqazyz1avTDqLDhSAk3HpVudzv26QCxRgdFdErI20GFuZHviH1K+NQG6UDkwgs7vRgEsnLKrpDS90VxdNLohzMewwFxA9LzUGY2axeMPRnLHvSdDFqDz6J2Uo+NZlV5lJ2ArT43fYKxkf3f1sAR0gABiQG+jftVfXhoegEosISAPZeGL48nrExGB3z9SsCweOnYiweTvwdQlJPCrbqQ+TiAqFCWoGBNqsLCIn2WOGBzmUbf5MBkQ0EUgBUdii3QwuMTjGRQLFNbRLADxseJ51Mt/W6EP0JS6Sq1EkkSZnTUdfBnpxsAwYVoVTyL7C+6EPFUWICJDOptkdmh7xCjFMj0oEQXHHkNH6UQ/HICCGSgZADONPmgJx96wLpGd2D8BnTiIaIhWEGLCgpgIjefc4IiTn7ooKyrmB2Zg1GY/AICf2GdrFkTSQUtCFpAR0UMpKYq+vfFkAAo6IcmibIcHBGgYDggc/2MB4EqSFPiddQoiqO3kcIjh6GXRLTMmDcHUTkd58VD5IHVx1XjWpaaoY2Mnmeed7/Ppq5gi62BITQwYrCj++WMhncy9sYBl4M6ZxI0F9FspDMRzGC4ZGfAwqEOGGW1s7DQwRANpPmJZCspYc4wwuEarXUzdepUwCkO4GY4F9Z6PTMWAQMBDx9SrsvPbAvr3Kh5aQC98XrMDmcfw8nBmB3Ouqx98Nxpp470oqDmq69qttLfvvJbzbFRVBnU3BJM0kWJdqKCOUDZ/fffr+d1QvUGOeOMM2TRuJnaGSEXoD74iTCoX/xR52RdfOjUuQI/8485Lp599lk9Z4I+zoB5rUhFM+T8UIW64fViW9hehq+OrhpNXGuLrYEjpgEyywa7DF8POuNAGJVlMc5xpEvw+/dPiIg3Sorz0HMAlGCw9BDQmBIHg5MDcCksgGkLz0YcNhmWZyHrkMKETvsHFM60fHZYB9BLoMM+hI4/6CtoRlMmF/vUCQ/7DzwzPO5Aof+0+lAHDJDFVD5MmEzJkIEGaZqf71a2xO+lGQr9GPrPHM7Riz7R8L8xmB3dxmSvmS8rDDYbBjrdl9W9pkFh8dl1sNPAeSRRKNjr3q8X4A/tVyw/as2SSBrFhy+xTDEoAvtjX8bJGKtRaPvNgsVtmKQWM+sFwRV3hvXo6+PKR1ZkjglQBg/tdhluCwxO7etLg4mCpnGYFFrshW7Z3WuXD8sARZvAt7iOFCfUTTaO7cgLQkmH3oXp9ra8czVgPBEjOX/SnahAXoXQZN54LjMJzD7sM5DXIPnHL5LNL74ofxmzXY8yFpW5OShP2b5Pa9C0BHuVOq7FB+IlL/bBjsHIQuOQzcjPU15eJ01plw7W42NFMjlVJuOqytXOzgfPGIiN8GU6AvOhzujgDEobMzwXnso+0KUe5AFK4ClLYLa2t7tdC+Al+WBCrP+DoY12WBDrewvcmF9jX036NsuCO5AgewGIizmFIE4XGCl0FBugac6nCECea14rj//tKjWrffpMh6ahn1W/TwpCBZjB7cVWcNyLj1Y9vTy/WvNdPLDm79L16I9kV98NsmDuAoCicYozUP4Q3QT9n9AJ0UmSVDg6KhDv2jlV+ObKzCmdsmtNt2aCXTMqrjo7Z0ebtiVm9H1SHWFnjtmkByGdUEY+/HL4V9ARxrk7ZWvxaAWN7YjCqKyolCk1pTIW5+zEvjgoUDjz5dkT4LkAaBUAm0JLv4JRvig8GKUXwIvvwUR5EInHGmlZdGQk/9swlezE7JQvH3pKzi95fY15prG50SUa7+3/7wQNDH5C9392DyhlYGkC1mJDwGZS9g/v8IMbAHTQW6FGlbGOuQHuZ5Nuxhe0WA0Wr/qe4IbVG/LAO9HwRMHXTgPB7IdUBpPMuChDwOhAyk1mVVDehe49ukvsfn9hb0xWLC9i/PSa5qCsy0B5zXNhmadwntwvyHGV16xn7YSoR5EP1oDSEAhlCsHOgGfQM16/n2zhLlwOYwhAqRqz7AO1ZGIcvCvT9RkoEcozGmE4L9fq9/tPzLgWVjvFP1Z/Vmiol9zUoHkeprs02mqc0cA+Qje05R2vgdc8M2+2Rpidk1FTCQAVOqBxgKcNnAxuHnw+ulC2gGMdETyFtKtGDCFWnT4iBAJbG7dKMQpaEs3TX4e+OnCv1cGYs4gDwA5nV8YOlLWhz4wO25zV6AxrwHtr4H2zT3rA/sg8c9KX5RLfP7HuMXnwwQdlImrKMGPo8cdHtC5OgZelUwGtkFqd58O2EtzRFMi07sXHBeSf//ynZkjleZ03b5zuj0CkX6hI9izQiQkpkI8iT1mYXpNhy8+P6jVgxIMPuTkiyMCsMzr22VjSPGbQ08SuyCOCGj0EKMw4S/MAZ628JuNQmZiWfob78rt+3y09/OAB6TAq2N71YdUA7kPrVjqsx7F3bmvA1oCtgcOpgRGDnVwIQzRn8kycg24RH1UqMN7xbXnReNlbP1VWjx0nERSUW1VPr3tMXZq7QE96ZWFTnjIYbtiaOXA7nED0oKb3hJmMKiM3T4AJa1SJbJiPmRgG1XctXiR5yDhaj2RZyOMuUlVogBoTINBERlGrNIAPgQO/IbPAl5sOcnh5kaUtK5GSAAAgAElEQVSPr6EUcKjDtStnzHnUWY9iUUGwVVNyCHElIKBlurG3UZ549AvS2bZPzj6/QMaOzZNC9wo97yxqwjCnDilanqcPmY75fYk8pWaqMyaXg/xolF//uVVWrHoBrNRxcnzDLCkGt6MgKQHlK2rEQdH4CpNUibuycuqk42TlOadII8DSXZWIlKsvlVhFnoKed29EYjJUri9IYCNS7sxvATDVBQ9EOpo/WG5Esj0+vkIzmS5HSG6y3CWfdI8De9QLAIT8Rfij7wRNjWSNKGR2rFBg1QOHTAWegySfJLdh+kzBYQApFPV+ykP19ereJGp5GS8vky1y30SOXFoXqH/qN3jH9mdbA7YGbA3YGrA1YGjgUMf0f1lfHMjoY3PWWWchHXidMhZkCBhxRKaHfjSs70QWgf4sGWTcSqeQfMoM02Z0QX19vfqvzJ8/X9619F1a84mOgf1G7mFaZ7EMA1kdgiCL6Rlm0zflJ9r6eTxWbl++fLkW3Tv11FNl2oRpoMb9MNfEkFMnrr9TCHQIbii0q/O3vZG9ujxhwmxZunSp6ubhhx9G6iF4fkP62Z1+ZsfEBcA+PfgrwN+CBQu06jCdtNkeCwgyAkSjTLAt/QEY7UEOit/54WRJ1onXgGwSgQwjsFjH5u7H7wZnZIST0leCbSK4YQQMX9x+oD+UNtQWWwO2BmwN2BqwNXAENDAUsXHITUGZT+SQyUoxMiMTQLiYJhyi1m4QDh0wyzQU1EnpeRdLI1ibZ1DxfB8ZnnIk0MLg2bTBGLA9dCrkZ+SloG/IhlGoVIxB9vlSjxaLO2XsVJl10kkYhr0arogRFV5tDHM3mAH+J2vAaulshzoTmu/ZFA+oBUYYuEgxkD0xX0gmPKwoIzFABn92mwwKiREKir+rWL4BcebNwV9z5CVkGP2jTBrVLJecVQr4cYeeRxBOSsyGgcBXZThoXuL6zGsaT8UFxIcUh52AOmtRfE9kxoSQtO3ukUdf/oO8vDsrDWOuxfZuKQzgnMGQMXM1mQ8HcoB4oMc6msNccelwlsqScy+UZ+CY/fTTT8uK3Y0APKXIX7RTdVXaA0YFgIY1ygiENpXDhRPbPl0XVLPVFoAeD0ySH550kvzgBz+Q31xznUy+MSAFi+fB4bNECwQyTT+BDx1E6cvDchWGgzkUYjI7hnZMpgcfmgDseN7In4rq7XBqx3fMSeTCPYXc8pIGM8WXlw2DbjPwt3LhZbgrDvTBsPZsL20N2BqwNWBrwNbAgRoYMdg5mELJ4tDEwXDnkwBWalDpnAXxmtet1TwPHFA5yFosQAb5Fzj4MuLHiORq10J0/3H5VdIQaFBn2GIfvPlA7CTB9jhD4QPMWBoJAOE+uE9nv2Oe2VKCoLdQfHAaJhP1KqKvyE6ddepxGNCLZF9zVKormKcGPkv4w1njRddkI+gbLrnqs6MpV9UIhiyqqMVTEiiB+atWHl6TlZ07d0qsCunbmbgL4eAONUMNOD/olsCFQkBUV1gnvtNOU3ZmzfIXdPtChIBQV0VAglwSU/CaFKKOEJehkEd9fo6/8EKZO3mujIarIuuJ/bble/LpT39aps+eJu9///vl0ksu1crT+5r3KTtVXFSsDJ6CTltsDdgasDVga8DWwBHUwIjBDr0t+CJIoe+Gy0rryZEb45wfmX0jkT7pDiJsvKBeJp9SI54px8sLLzwrmzdvlgdntmq+m0ZPXAfmKIrccbCcVFgpITAKn4sXyg033CDr/+t38p5vfENcZeWoudUn62MdMqoWfizM7T6ccLDFoK0RPxQu6GBjvQaPxa9xKhlu59i1a7e5ghFOkaZJCOJCoTsK4sXgBuOQLa9ukPw8v8wYw7iBDikBcYHCCyKtyDeBbdJFO9VJuw+bkxVisnmyXe4e1PEBSPKW1ksFziMADqShrEpCFTtkc9M/ZJvjBvjtINqMOAe+TvnQI1sQolkM9X0C0L0brEwQtbTIvOT89bLkxNFSMWq2vPTSS/JU+GE1Jbame9WsiETNysb4kNuCYOWiU89XQHT6pAWa4j7e1CHn1syUxd/5kXzsYx+TO//yR3l14yYUFowp6GGkliU0Iaa0sNZ+YsdSr0WoMaaCnByT1qdSqGlEZowZz8DepADgOhCRxVccRWbpEM290R/Lkv3RNf1f2W9sDdgasDVga8DWwAEaGDHYOZg+E4k0mAQklHLAMRl/9M1pKG+QUUurpL23XVqadmn9pq2ZLjVjpfKR5wKD63Flo2QUSiGUI10p/Vx+/B/f0nIJ3/nZrVJQUiTV+UE1ZYQIZPCiWH44Az+TWRho1iLz8VayDTxH+r3s2rVLQRzz+ySQYj5fa/IhwJrsDV7MGZRyo1qyQkf4GcMRl8yUP1gqGZy/m8kmAHqaUYW4orQCpqUUqpmvluTSJAr+cQu6XxM4GH+mQrQiMrOXxcAQ8bydOJbX4ZUZ9cfpK3LaHPh5d8m2ziaNuCLYYX6k0qoKvQ7Fznw4SZcYvjw4QEVluXR1dkthRaH8+te/lhvT35OLL75YrrvuOvXDOmfJueqvQ5ZH856Y10bbY4utAVsDtgZsDdgaOAIaGDHYKdCwmP48mIYzDL4xYqB4RkiMhf+cl3vAS1hz8gLM5cvziqVw/FiZgFQNS3SIh39KzJzzM3ULX5jRf+4D/yG+SEBuvvlm+c+vfFW+9rWvSXVNhYZIJ+ATRIdYshaaLTmAXKMACXSYtVKnk7nQHDD43oHiNvD7lUAYUWCkeRi6bprRGP2lgIAOvFhPI4vw2Sp3wc9uLbYH0xsihjSJn1Yp3x8cZBFF1vkHwJC0IadPS8teDTV3OpG9mSoD65HoZmg30AXKYTBpVzYLzkIrnOPntB9p3LEics/4CsAa9XSAPYmi8nEQWkQSwkJkMM6uFi+ilXw+8EfIL8Fjs4g5LyrTF8YdcSnJYMc4ViBrOD17E0biETPTPHx6JgPdIHNynXEezeZ1sPKEVFm1xxIwlZEdA+YqRCK0NqazQCLEWrA9f/jDH+Taa6+VL3zhC/Chyspll14G52o6OjNTLNLgw9GZ5jnWJqIOWUqEbE4CKfbzs2amD+yaLE2mB+njUZwwg+vSB/0moKwYFFKgZ4UlCKtYL4s4Qjdoctos8z4Q4HK9wZ91Y1tsDdgasDVga+AdqQHDoeMInjojiQb+AQ3QQ7b/1QVGhPKJz3xGrr/+enWuZfXbjg4jtJumFg6oFGWGAHgIVgh0CHgoVk0b9Q0CoGGacQIgghVmJeX33JaZSX3YH31lOFjye4sFsgZP3eEbEJbNsAqR8rgUZTzgf+OjRcs0r3H/CrLwlZULSFcmouN2iKLyI1cOnZe7M92aq8iHOjRsq+WXQ7BjMTuGSZEh2gfqc9BHg3khOzbEnzIzB7y0VQYg0+ZlZNy4cfKjH/1IlixZIl/96lfllp/cYmSxhU75exoRXt2Rbq06TaDTE+1RoONDprEMKjJr+SADGynQsUTNaXjRzAk8qCYs/qO5zRZbA7YGbA3YGrA1cKgaGDGz402bg5MZhZRgFA0EEEKXFpMTpB8GxGWF0ZiDW2WesYYfuV5UkClZxXTGcI6vhwsvEu3iddxlS+TD8V755S9/Kd/+ry/Ll770JclDDp4IHJ0ZUu2BmSjOSC0zIojZdsneJAguYFpJwQ8EqXWEAWNZpibFwMr3DqRFdsDMpmYw+PIoKEL9Gw7UeTQDaeJCAAk2Fb+ztgszKavhKFWnzbXy6Fk1ZViMwfgeSQKxv5KaEmmPtkuELIsrgAKeODwzsAa36HpW/Txnxsgw6rVckYK7JUYmCu3uQ3HPSK4OfkJIdd8+VvIdSZkaR46cXjSGvs5obxy/ufHKQIH0+0mYZZo1TTzEuArMF2tK0NB/EKwSZQxDniDmZdy/gSZodUjEvDyElwRX6vuEnbJY6dVXXy2t7W1y66234jok5XOf/RwSOqNKOkBlQbhQOlDINBxGmsNQvuxq3iNVFVXSVGBEoDnSPVrYMN3dqSA0jmvV4mqTdg+qU+cDlOIYNPExcs1diNbz/iFIOjBxLFtki60BWwO2BmwN2Bo4QAMjBjsH0ycZA0q/64aFfqzlQXbA1RJwcs0BJNB8cs1HPyIbNmyQn9z8Yzn55JPlvCsvVp8YAhOyHHyRSaH4YNqhOYWDp8tj+MC4kFKeLA4ZG37PeiwUJuYjK0KWhNmAnWbdmJzpAK1AyDyJA9geHfGHF7aPNaqYZ6e1FfWqqsarq04vCuYp1sPLIk+cRGP8yqpLgR8CeTxIQtraARZLUB4ilVA/GxYxJbPFUHMV0x+J58Gd9uffMX59/f/mdei/PtZa1vWxzs/8zNYZe9dm97NKjDSbM2eO3HLLLfL5z39eAQ/b9tGPX6OFCxPIn0S2jU7GzKtEXfJ9U3y3+jPtXfeKMnEJgCWyc76ifPXV4nqMGiuZWilhRx72CSBtAWYLub3+mdnf2hqwNWBrwNaArQHVwMjBjsnQ9FMGJsXhMZPkuY35P6rpmgMygISK4UIifnMw7TQ/95hL6/rQ0pOCc20V6m8xL40XTMUHLr1IVj37pPz3j78lU+ZNlzENDbp6Xy98WvJC6p8Tz6R0MM4hoimLEB/WwGLNJdYgTyI6KoJ9RlG/qk9hjhFRRmDG+r1cMusNvwcsUkbHaaEBMhn8jH0bLsFGSy1sYOXtcTBZDI8Ps01pqFbqxpwoDz3yiqx4pUPKqhqk2jVVmnP74GuDquVYVUO+sdMA7TUUbTxqe3lRqRg1cVhJDIFZaM1EWb7+GWnaOEEuuOACmLfQTg+y9GSgOIb4k6oi+GEBP0jcvMJWuVSNAIMYVaxEtiBKi4KiECpWjRkkUFZJmEvrMjPDMaXCNL/R9yZD5iYfW0I1pSWlasr69e23y//8z/9IEkD1U9d8Stw4DvVKB/UYrmN1eY08veIZWbf2Xtm7d6/EXnpVwWdxOyo2A+yEEdXFuC5/dans+v0d0jhlpSxGiYps/Sy0CX5ayOsTQG2dsNUwo7n2f1sDtgZsDdgasDXwGg0c8bmxmof4QtNe78UxP4hSt1E453IQJKuy6MQT5cYbb9TPdIx96okn9MSCYA4MVgMojkWpTFG2Bn/MNUOhHwhZB80MrECH7sR0sjYGZK7DaCjm9BnI4hzA7JiDff9BhnjDkgs8biVqYbGu15YtW2R703Zdm9FLlH4dEEfA5KVfUICCaM2inw6lEhClK9WFKubr1NQ2a9Ys9UfSdg3Ypl+h2Ga/Ti1vHmPZf1Dd8xsTS8fcirl9LCaN++zo7JDxDePlgx/8oJx//vly0003yY9/+mMFOpRoHIAUOZQefPxBufvuu5Xt2r59u+Ygoq55XXg+9NOhXxK/Z4qCZcuWyZ133inLnlmmvwcQls4CqLbYGrA1YGvA1oCtgYNpYOTMjkVpmOOztUPLZwUOK0Yb4INBycCfhNKn3AhcTaLGQF7sMT4XWzswmRHphrcOzEAa0oVIKxqcUt09svDkhXL9jdfLf3/ha3LbL38F9sUhJ8GsRXZAa20xQisLcIS8PyzMTomz+hTa0wm/kK5UTMIoZfzi5nU6yDJtH8FPSUGhhPPCCGkHIEIkWBb7oJDvoVjgR6kXggzPbv3eaXIiLtaWooBZorgzBULcVRReJCctcsjjT+2Vx5e5pO7kiVJWVgZm637dpzfTqsDElUa9L3oRO4wCnDEk8Uvh6B2ohszsyo89npDmlnI548R3oyzYGNks3XqcapjdCCjCETI82BP9WcDKILGyISZDEzAZN6FvE6SBK6mYSrLgr5mc0Wt9tq4jfJlU0uZ1DeBKA3hFAUwI3ug7xVpg5ZUV8q0bvy3+b16vS4agXXnllZp358G/PSQ3w6GZjs1X/HOdble1O6IgaHyvWyLJblyrDgWiq2u7FdA9WY+rt2GnrOiMSi18lWTeItOERmclW2wN2BqwNWBrwNbA0BoYOdgZet+H9otlHupfmptZgzSATqK1VXylsOFAEnBGZsSUA2aRE8HwMAz9y1/+srR1dWqm3/qGseq3Q+DADM35hSUoPaDGKP3c0tEuTU1NyrCUlJRoFBEH6wDAApmXSWAlJk+eLA2j66WooKi//ITF6hhcyaGdGtcibiEsKAAQOWnBIlm+MiDr16+XLTUJzWTMUG4K20BxqZnMPHksLUaKOYq27NiC3DrbtJ0XXrhUMY0L6wxkWnQnShURjOG9tSvrTf8X5g8GBtXNhhWLObKWXBnvGc0WIhiFJBEl1RvvQ1h8kfqXR3IR+exnP6sFR7/73e8qOCkoLZYHHnhApk6dqowNcw8ZbI6R1DCNKDWCNtbsom8VgRDNXOlao3r78j175He/+52c0BuXi866aNgm2z/aGrA1YGvA1oCtAWrAghTDaYPD4ZDrgZU41OFyuGMM+dtAMxJX4mfrxc8uJB187pFH5PJr/1OmT58u3//6TUi4VyVBY/yVJp8R7r0mtlKegLkr98BzahpZsCujZrAUimkSyFSnQgqSnqz1KcOz+V1ztCbXogmLpRB/o9MONatUFiDjMSSKEKlgEInzFFYpiaKCwt0HCPPF9EZ7JYfIL5rJnt++Ts03O1uatDDqRZ98AsCAnkKoeI6/LAp3UsJIfsN8Ot25oLZv5RNx+SeqlpcHTperrrpKZtShIGguJsVpI67KAmODl1ZY+oGtehM/GQQWFIA3uDZxszwHGS5iNvowtbV2yftu+ZyW/XjPpBrZA8By61NGjbSJyAVEiZmwux1MEaW+y9ArfXw8MDvuBnjjuayfOF6v2/c+u1Auv/xyuSL/DOnL9IkX4W30G3LF0A6G68NvCxQfnH6MHSfNO9giqqzrNeSN/Saq6EjvCvfEcKc57PN9pNtuH9/WgK0BWwNvggYsm8ubsKsjtQuwCQvOPhvh6CXqv8NIIBaqHNtQDlsZCkb6krJq/Sq5f+U9GsU1dneLtjQWMyp/8z19TqLARGQSurvjykSQfWHEUy7ikNmzZ8s4d70yMVYCwjcCImieicAcxpD1cWPGySWXXCIPP70MhUFXyu2/ewjgzCmTJtfJuMpxUoq/JP66AXoaI42yaxMzJW+SfYhQnz//BLn07GtkfPl4NWmpDxP8eCgEgBzTBi75/Rtpp+7oTZYkHK5Lywrlfe97n2Huat+h/jgEnGTipH3PsEfst6Lh/DQvEs6ZeXZaWlpk7dq1csH8BVo93mvF7tM5+/Di72Hba/9oa8DWgK0BWwNvPw0ceTPWCHXSWehFdE9E5p28QL5x07flE5/6vFzxxY/Lz377Ey0kunXV0/LiY49J5V8ekRIMlOe1oV4TlqOa48rkFKKmFxMMpnKoKQXfkLHNKNuA32tbUmBuGmXDwi4Z2xaTltMLJd+drwkMmRQwgwR59HqxpswWUzD4dJwYeBnKngfuJ0Y/IZhnZo2Zpv4ptSXl8uizrbJxQ1Y2P5GEOccnwQAn2qjs3ofSEfEQqrOXSGHeDFl86pmyYMECqSueivbRFwh+QB5kpDZ9igYzOmzH8BP6wS39Fz9bd1AasISABBXKKaxgQT6hC4xPzumTOkRp5UMPU7d2y/ikT5zRCMpfoaaaqUCP6QqEBNKmGPvRCuigy8gQUe/lAKO8PtWvNEk2uUK21Z4rk+sniwtgB2kiJaT5hOjzhAVZpiE4jSG+/heVYG9ma8DWgK0BWwNvZw0c9WCHPi1hb1i6wBacAQdlJhy89NJL5bLLLpNvfvObsnrZI+qfMxY+MXSe9femlcmhjwxZj1TKiLjie4IdRmrxvfFbSv1KuF1+9ViZedxMGJaMUG0CCY7PB1OgxbTwJqAfSo8Z+k0WZ9yScTLnxArNI7P+lZW6jEQ61IeFdam4nDpuvkyZMkXGli1UXxZiG/hNqy8QE0T7mW0QcsTAzkHubvrkdEV6ZMWKFeorRVaG5xWEs7lmQj4I6kgD+3kAotxIOGiZL608Sa3w5WI1+Un1k1Q3vK4KdoiyiAiZzMgWWwO2BmwN2Bp4x2vgYGP1215BWbPswCj42fT29smceTPlp3f+XP79+n+XH/35p3LKniapBRC6/NUeDJbdMqO9V31jWKuLWZMTyQ7zHJFvOI0Q8UgUpqGsjOlCDBQGzg5vSAJPrpInqsolUOyTadUzEV0FiJUxXZVMSsdy1bHMLqYrjwGaYnEwGDmt4YU8z5pUD95CcIoOyIT8k2TCcSInTnmvlrHIIJOwAbyMEhal/iJtL+uCE9g5MH6ngLLojgIcoQCAMtiMZX13uM1YCROsKCODprDGF8WRMaidiDMp+zKdsnvNS1KACLWzN/XhPNukArmOMmS7TEbHzxTJkKDlA2TuN459OlG93QeWxoGyE3WtUdXP6Xugv/aorIfT9oIssi+jYGkffi/CbnhpckgBzeTR5lUyGsV2We+sHw4Ctvo3tN/YGrA1YGvA1sBRq4H+sfmoPQM0vKm1SZtPcBKFv8s5i0/XOloED3QqZnZlCn0+yAB4XXT6RR2tZC+gB9gcOggz+SDYnpR6zCT7Q9gZDUQfHvqH8MWILoIOyqGaiTxgMshm0ATGBIlsJ1+xdEy6kdiQA3oQvial8AmqKqqSioIKJCIslSIAHTrf0j/HyoYcS+TQHnwHcOEDsLBC7bUGFb4cuLTOWxt7hIS6ov7olEzWjEwPGRgmIrRqlw3XNJIzvHwEcxbbZjFzPL/m5mat1k7waAE7XsdDvTbDHdv+zdaArQFbA7YGjg0NHPXMTmEcJp9gtUhzD0w6YE78Ltm05xXJwrwxA2zPCTs7dKCcBJCi5qkgaw3gFYfvDZkIRH+rb4mHAAeZhJHWh59L8N6RcsiCrcjTg0F1y5690rlylWycNlcmFYSlLolRGJgnYTIZQ94OKewIwIbZlul3koyjACYG/YAHGyLcPeQ2ipVyew7YWdbxgnhY44rZfcCMcJnJ7kFl95TkwYaVD/8Uh6BuVG+7FHimHDCwv545a8i2vQk/9GdmZu0z6JnxZCqal8eh9ax2dTSj5pVR+uG4vdB9rgBpenYr62KlU7JqivksxsxsmwOpleg87sC5E/ig1r1ezxnNSXzOyVPJuHTC/ydRArMkgBS1x/IiAeRXoliMm7k7e2FrwNaArQFbA+9ADRwTzE4OviCsCs7BloCB2YrJJGzbtq2/DhZn+8qC0PEXL6a1CYQwOGJ0ZK0lvvievjAeD2pjIUMvhawEnYkJIhgB1N7ermYlRUSHYgIB0MlhoM5h506M1qyTRVYnmQK7gfIORri5MSQzNJ1FQvnie4oPyQ3JjviRRTrsCyvDY+XVKckrUSdriymy3g/87kjf02wrI68KCgrUsTiGiu3w/FagEw7sr3A+VDvpgsPrwpcLpiyPhum79bpawI6+PzyOpTOb2RlKm/b3tgZsDdgaeGdq4G3P7Aw2R/DzAd+BQXBUVUtvKiJ5+WEkDo7Jyi0vSz6y7R6PiuwnbDJ8cvzphGKTfSaTU0hKAoAjakRu99dYaizijZCRqhzrrIuc0oq6Tz0heWJ0obi2tsi6WKvUgS8YG8foixwuOZdhIusnJExfEIupYD1PbS+/B8ujldMhfkYMYaOsGTqOIlr6fX+1cb7ny9yftZ0FsBBUr+tzD0dS0kQjFNNUyKzHKuYigpr1NAUSnDA6jmDU29uBauhe6YnBQfkgeId+xgSgVvUP63xpytLQewBcmsNonuRfLGEwZU4cj2kCNCLLFlsDtgZsDdgaeEdr4G0Pdg56dQgkIGQ3KBxsyb7QV+dQfEIOtv+gMGqoG6yOUxmePjA9OqAHjOO5TXOJRfL0h6CbIEVBzgAxm9v/Dfx0D/x90NhsVtnYzyKZ69PIZciRHcz7j05EAumvtG5+RhybRrORIbN8alxkrRg5hfUNSHmgDgZ+IuNGnXF3aZSoIBNGZocAiiCS192qps7rwmNYTtuDgfLQR7F/sTVga8DWgK2BY1kDRz3YiYSMQTaqBQoyGDydsiMK5qAvJj5kVx4VO5D5YFFwDp5+wzVGKo2Exf1gwqqjZWEQD2p2pZAfZ4wzIHmePHk0GZUtqb0ypw2mJpiQkoPKbltMjHXTDP48+GbKIdJIxcrvmDOpjpwJmwaBpf3bmzDDZWSIHrzft+yzRbkQlUBYe4ySoaK59CEzdDdqywfytH7Z5opSBSn1+2B59IPxyRrtt/LtJMzaaX4zSssD9RBXJlwegM6UdAHQwJVcVoCB83jcuo+KohJAUkS5ZeMw9xkh6npwiAXGzN1ZX9tLWwO2BmwN2Bp4B2ngqAc79NXgjJ5sAaOWOOunicMPMwYjf0YqWeTh4f7pa0NHZVbp3r17t+zZXKoMQocDhTsHyGBwM/jz4PYMDXbMHDG5oc7BBHGuA48/eP+H+3PCBDvlUQPs7Coy2lUeMW6tzir6RRmZj8nu0DmbEW381Q2mTL2PDyJ0TE7CRMUoe15fKyqLpjFmYaZ5jEKzlgtlIuizQx8ph2ViO8j+7Z9tDdgasDVga+DY1sBRD3Z6NQzchdrgHOyQWA4ROsUZt7Tme2DGSkuLWU293Mzf4gVToKYkEysgbkevsCtnVAEvjRo/RE2M0QsfE4KojgDz3rilCk7Co/OKpby0QrerLK7UpeVTYy0P5JN0FZXBRien40BDDvPDqOSsNU2OyWR+kI/Z+F3hAn16jOObX771C7MKuod5dSB5QWMZMsPUirJJBZ2t48q1AOhDk0LS2Ngl4xL5Ek+kJd883ZSZebkPzuGUAuNyIPcRAE4KABbmQofbKa01ZQpmnmkIa+LF06tGocBGWHk9Dx2nsD81pbFdUJ3pZ96vl36ibJD5sH8F+42tAVsDtgZsDRxzGjjqwQ7HLL4yGOjItJCFYQ2rDsz6OdMfqYR8IYkmolrPiVXSWWl96alL5eS4CTIsB1sLk5gHPFSwgzKhg5pobTkI7Jjg5jVgZ6QnONLtTZCD0DLdU6/XBDsZAy0mgV16Y32yIbZFC4E62iNm9FhGupC4rxgAACAASURBVCPdKMExfAO8xD5Ap2SHKDSBsbwHWTYyOuPGjdPv6cvTn0CRFFB/jSwb1QyvYftXWwO2BmwNHPsaOMhQ8/ZXAEpJKthx7UQ+Xq9bRlVn5AR/lbxcGZKWXI+8WmKAhpJ9RrQO88Bw/STqNFHWlhloZXK7MUjDM0S/j5pWpLWVLEPglY2ePglivJ0Sd0stXWuJo0gTeA2uwGIMBjM7BwM9nrRZnt0ak027V85pATVjD0ipp+3q9+0xPpmN6P/wlr9xML8OxWO0k4HhlKxJQGmNLESceYoKZcxx02Rl507kxKmQRGMLwvud4oq26fpW1XPT1QffGPt1YR3BMRIAUwQze1AeoxcOPrvGl8mEM46XhtH1esQc/Hn8pHHYDAIvXl+CHuvCDMI8Q3ytbbHF1oCtAVsDtgaOLQ1Y9MFRe1ZmxLOZJIeRxi4pKyvTCCBGT41U6GdCfx36hhQVFenLS6MJB1VrxBzpQY7m7XkBBryMzEH4D/3wFYcp0et1SpmjTM4991xlx8i8MfeOxdYMd/q6DjMu4xgEO7ymNF+NHz9eTl18qhQFNVeAsnhWRJ6CHIq1HO4A9m+2BmwN2BqwNXDMa+DIMzuDAcNrrA4GY9DvZNOPMIzv/VkwM3gbnQDHVFwuZuz1jK2U08Yvkjue2yovlxbqIFkB0wd9PabAHKX5+lA2vA8+tZWJLg1rDmFjRDbr3okA3ckSNZmsLvAJTVmNzqDMmjZLJo2uA1MRlxZEYQUQocU0f5R+Ysa8ZQ4ZRb7mChh7QlELc0/Gol8tr9HPa744YLvD/SFmhrU5TF8ir+lr1J8fyAd/Gyi2DokSa8pQV+xd18rdd98tH1niVRB5w/0r9PpM6HXosr4rruU6Ekyk6PLLA4V9CmIem1auvj+rq/OltrZWlk47WWZJg3iYYwfXyelFAVdcvAzqnYmHOsESF8EM7hqkzcOtFXv/tgZsDdgasDXwdtLAIY/Jb6dGD9UWCzf5XD4pLy9Xfw4OkBwM6c/Dl/rT0kIEwBNE0mUG7NC9gxYQ+sZ6MEIif7KuSzaBDBGFuVxGjx4tVVVVBrOD7zSTsi3DaoC6pSRSCQWbZGTOPPNMmT59un5m+D6FDA517kClUx/+tIp5JqmAiHpnXp22tjb107n44ovltJmnKSgiQLLy6VjXmPvjd3aeHVWtLbYGbA3YGnjHa+A1vMLRoxETp5kIByWUjKRzyNLnRYSVb/JYGdUxX9Z27tEEgzlyMBgY/dszGpo+PppDaSqHlPcYxRdYV5xRPBn44/CbdYVeHXz3hv2a/XfUhMkyadbxUugoVBW5MFC7+zP+HT1aO1wtHQo1k21zIItxGtmjqf/RFbVSdFqB+FGqww8g+smJTunq6pKSxk4FJxP6cBWwnhM1wlT/iK4LwE8nCT+fusUnyLmLz5E5009EqkJky0b+I14bC+RwSbGAjg12DtfVtvdra8DWgK2Bo0sDRzHYGaDofhcNFqKEbwf+yMDMmDFDoiuXI9S5UQdQsgiWH0+6D47ISTAJ2I2xOVkFJwCMUf2cphMOlgRGDQ0NUrZggUycOBF7z0o0i8gsF2pcmc64R9clf3NbSwaG0r+EzvSzaV1jeLkXjuPMr6PVyhkt5w/L3Llz1Q8qt+Nh4/pktqkfjyOWUr2TkeM1qK8u1etWPWeeMkKjSibpNY7EIroOfbTIEGluHZO9M45/ZM17b66W7b3ZGrA1YGvA1sBINHDkwc4hj0kWd2D58BinnUSoM/9YawoByhJEzaqA34P3RTK6pkF2nnu2tLz0kryA6th9fcjkCxMJB8bpjX3KClQgZTKdW1v9MF/h80b46NCksqEqT/x+v0Qb6iQwf75MnT1P3GB1WH07iHw++T741NDZ55DbP5LL9Pbd1rRSDakGw8wEcyHshDmwNMk0qrgDxBTDsbh4apEUAEDu27dPuiZul//f3nnAWVHde/zssuwuCyzL0vtSRLoFRcWCiooFRY01EcEan/o0xhJNYsQnllhiTdSYgDViwSjPp5LE2MAuYsWGLtjobSnbz/v95s5ZZid3771b7nLv8jv7+e+dOXPmzJnvmXPmP//TVq5caTJg5WF+ZAAvFaReO+7g9dHp36U/liLLNTmbfOac+Zqj0XurySp1nw6lTAREQARSg8C2V3aagINbBZwWASoyXE2cnVPb5rU1B407yOv38eXateaLL74wZd+u85QZSiQ8BxNV4QVLwarcUJ5oIaDVgCOvdoc1Yfjw4aagXUdvcsHWWbAOtcYoL1yiAp2eW7fxVxJtgvtoiVFwJBayxLPGtMaSD2wsdCO2uJp7YVaBKexdYNr0HmDKOQEhOpB7C3xmQS2FsmNzIivAsx8Pj+eUwA7XHvypZPpPL/ORSlWwGaslstQ9iYAIiIAINIxAInYJtvLUGQ4vGNcvuGEpiHtWbUtOOPgK2GqohHTyx9tkbSj1LDR4U3I8srFtMkzJxhLz0efvmw8++MAsXfSJWb58ucnEkgVMentMeEfFZ2U++pDAkrOsMNcbGt158GCvg/OEvcabLjldvFFXXFi0a24nLwnVGMrl9Q3J8yfkCSdsO9m3Xm9vOmfjqd17h7nHB6TKonkRzYROMWWuVdgK034NlwP1T+eUR1RgcEIpLDt86LgYRhk6InMyxRwIu4uXVmKW7DIc9aZN5sm1XfCRVL8dz/JVZ/kFuZjlO8xW+yIgAiKQhgTc6pNpmPRAkt0LlF7uCz+D5gQoMxswT05++3yzB/p89OvXzyzq2d18+umnpgTrW7FZyy5f5iktmV3zPUtO576dTa9evcxgNl11G+69YNkfhdYfNy9MNZQozuKbVxAZqZXe9JKbeo5+y4Ie1CqjFYb2w5qWGZnckf/ZtOUtfc5BbU4r4qu3wpot/vId1VBac6DVBDXqLC4V7w+Eo2ITfpdz3/XfCR9L7t0qdhEQAREQgVQkEOuLz6U35pdf4y071V7HVbdoZ1lZmdd8QeWCkp2dW+u4e4lRqaHy4UZEVeAlymPVmMKYv9noV8PfLKyCbbD6eTnmX2FH13U5GV4H4w/Wf+dZeHJWr/OuU9o+23Tr1s107tnXFOAvDy/jLfjr772NsfJ2KVDRiMUZffEy3YJ4PP+6jV4J57d3H+jHwntnMxw7UTu/hCNpYEA2GZE/h9aTF5U4d31PCfSHdjOcGybuJvBjGltnkQlZRCw7nOm5EiOpKjDLcY631kPEbVVWnKUuoq2shWlmOaxsvTHEv7waI6+QBsbfNjcH8yBhjh1/Mdetg/wjliNOD0DXvuYK2qiLgCw7dZGRvwiIwHZCYNtbdvhy5wvVOSo6dGyK8pqj4GpmxsU2m5IYnk1Onn913etfeV/1/luW296oHSgneZggsKhjkenVsRcWkeT4qmpTAn/OjIxXundNjuiiTaE5nLM+uHvnNZvLIkEFxikxVHbCzKkIUalx/o4H0xc5r8JUc3Zj5JXXX8piSD4WTOVqDRyJlYtJBWM5Ls7RGYoOn4BcKKyYFQlbW+feccpOrDh0TAREQAREQARiEUgBy05kgcdqvCS9ly0sMVutOuyUgTlW8MJthc6trTAdLlunqBtVYlZeWiHabfaXhOgArQbn/5gb0W4wnse7766wONAntyzSDLWlVeSFXuZPZleI+V9qRlUhclseCdcaTSmexYKdkT2LTiS+Sv9y69CUwr9ID55YiGMf4726uWLCCk7Q4hU7loYfpYJCZcZdy1nYmBf0CypgvEpQOeXxLPS78ZTVLF8xpOULjpaYMrDMDlh36A+VyDuOhkHvF4s8eBwr0a+K6WiX18FUYURWq3Z+E6FbaJQWJDq/jw4WQvd3m0chjVwtPf/LspOe+aZUi4AINBkBf27/Jouv/hFRyaHzrC7UZOD4Eg06voDdMTZx0GVlZWKUFacSDDgoJPyjcz1DaGnw9n1LEV/ijGOz5bIElaYaTUe4oLe2loXiwePey5sWJszaGzkZcfrKjhdX4DqRAA3/T2WHzjUhBe/d3WvDY49/Ju/VzWnjFB2myVlu2LRGpZKOVjXnuAo8w2eymQkWNo5Mg5bqhfXuBVadYDNWXSkpK48svJqLZrR2HTp4wVph7St2Lq9RMsk+JC5/64pX/iIgAiIgAiLgCGxzy86mzeu8IeLlFZH5VzLRkZUdjrnWEhWcTZu2eKOjnFu/bpPp0CHSj6a8vBp9c/wmMH8pqY0cOo4/zqhDh26x3m8bzziDJqxK/8VJHYMWG9dUVRWxDHmn8cXqFlWCJYjhqvkLV4HZgOmsp/DUnO35NcRRMQhbdFw8zWHZcZYlp1i9+eabZsmSJebwww/3lmYIO852/Pbbb3vWqPHjx0PBgVKCfJr32nwvv/piAsaioiKzBSOmWsP65XrouN47zrJT08MYeeiZ69Dc9a8XXjCbKivMkUceiaUisJQErHmu87nrsxNRuzhCKxJz12jDscKJ3s73ZdnZzh8A3b4IiMC277MT7K/DocnO0kN949133zWffLLIsyD88MMyb32k3Jw889Of/hSdaFvDH4pHbSOQl6XBr370SPH65FRhnSUqFha3nMG+Pugf4jm8lGnVQY/ayD6ULa9Ziy9gSh7HQCNGBOf5XvzcaSLHuJxSQysKlQ82HdFCwk7DyXa8tuuQvHTpUnP77beD+SeewrLPPvt490xFiOnk9gMPPGBuu+02c+CBB5qhQ4eanl06mQf+8hdz0aW/8u5jPFY2v/HGG81ATBaYkCNryCpMLPjggw+af7zysqc0HTnpmIROVyAREAEREAERiEcgdu/ReGc3wfE2GHUDraKmmYoveypA6zesN88++6y55pprPctOSQlWK4fr17e/6d69u9lvv3F4Seeab32jTzccowrSjqOm+Osvu12VE7EAbESfj0pbabYwfvQUycVoLWowK3PbeDaCNrABsVMyp72j46rbtAttwj6tCxF7DvroUOGBZG+JnI8TG+3Y0ZpNRH+B0kCFZ/LkybBeRZp0Gh15nAjc8hn8pXLFpTW++eabmtFxTrFjZ2QqO7Tq0LozadIk07NnT/PNxx+a+/78Z1OCZq1fX365Gb7LLmYw5iii6rihZLNp1z7U1BhOD0bKoaez6dCjmxl70IHmoX89b556/VUzBsoO58Qu9Mnn+P3Q3a+xvq0o+fpgOMXaFwEREAERSDMC21zZcbxc3xXOUEzHlyxnPKabMmWK2Xvvfb1lA77/7kczYcIEb7XyRFwFRmtReeI6VpzXpWZwkH++W0uLL1YqNZUcnQXLQlnNIp9NoM3ESCgtOBxZthYzPN9www3e3D+HHnqoNww+VhNXjCjrdYhWGzZJ0SpTgL4ybLrifENc7Z39ctyQdEb6LeYmmjdvnufHdaqYvv4DBpgvv/zS9MJaZFdfe63Z4g+fR6TefcV1/og7Kpq877wbrjUvvfSSWbdhnema39ju33GvrgAiIAIiIALbAQG/w8u2u9MN6DOzDtI2bzUS8Y0xa6GFlGRh7al5pnPeG/DbzRx6+DVm/En7m/779DUnHvcTs4nrIq1808y4/kxz1PAx5phRe5nRQ3Y2f77tHvT9wBw4mLzO5LQ2/3z1VTP5xCmmT7d+5sjxh5h3Xpnn22uMeWDWTHPkcUeYcUMPMaP7jTV3XX+PySnLwqw62aZszWbTBS9fSg/YdnpUbTDdYevJWb/MXPGrS82gAUWm78gdzU333mnKS5YgMWvM+rXfmksv/rnpWdQb1o2R5uBjjjHvff65YR+Tz2EtueCSX5gzzz3bzH5ipjlg3GgzfFChmXbFz82qslzzIW578sWjzarMH2A16W0OGXcx7vNIs+z7r01pxUKzau08c8kFfzaD+h5uug3uaCaff6J5v3iDWcnuSKvnmr9efpA5/OxzzTUzHzKddxlvTr/qdmPWfwXz1HfmncfvNQcUdTA5A8aZjiMOM3/427/NKmb3ho/R4/hz88wjL5q9Rh5shu3Uy0z//aWmTUGRWbOpNSxr+aZ1Ns0mS9GsthxdbFaY+S/PNiu+qzZHHDzFlNgSs+CLBWbihAO9flVLNkOR7DXUPHD/fdBzqs2H858zV1442fTfaU/Tb+QY88ijj2NSQURXsca8/fzj5tBJp5iiHXczY/bDyvSffWgyMT9S5w6dzASEzVy23rz/zD9NFxjRcnzxuuZQ8ti0CGkLUw9FTgREQAREQASagECko0odEeHrvlFuPc5e68XwFeSLyM4GbFY8Zy84sx+uPcaeefZMO3/pPPta8at2/Woes/bVx2+w++7QyvbpNdgOGzLadirsabt07m3/eNe91lZbO2fOs7Znz95Mux08eJDt1r3QnjrlZLth43L76GMzbNGALnbIsD62/8CxtnvPXWyH/N72+uvuskuWfOulpnTTGrtpw0pbUYYLVq23nyx61/5s8rHsOW0HDR5odxmzl+0zYAf77Vdv2y8/ftXuM3aU7d41z44cvZOFwmMLeve2Bx19tP24uNiWIL5hO49gW5jt1qWN3WP3obYt1sVEA579zQ3P2hff3mwnnbWDxVyGSO8I26/7RHvowfvZqnKoFJvfsTuPzrWd88faYYOOtu16Zducrhl23NGn28VrEPG6f9mLJna3JredNXn5tuvog+3kX99sy7+Yb5+46TLbF9eYNKqP7Tf2RGs67WzzBoy1v77jcWs3f2bfeXC67V0wxGabQrvjiO62aIeOuH6B7dxruH3zre9tRSVJfAP5GrLK3nHLr9Hjqbu96oo77brKdXbx8sV2/G4jLVoScf2utnDQrva6a6fZt9+aZ489bKyFXcea/G6267DRdo99xtnvlq+ybz8/y+7WvxAc29iBw3a1PXt1sUdMPMRu3MhMr7IXXXSRhSXO/v6GW7x8rBEmxXNVvpTjlyIXj0AdRdd5xyzfcc7VYREQARFIBwIJ1XMxA8WraOMd5ytunRdoMQQKDzWDjZDKf9sLz9oR194VMsq26oN2JUzyu/suh9vvl+Alt+o9+69Hb7AL319kn3h8jj3v3F/Ybl172ymnnmE3byq3J5xwAgZMZdgbb7zBlpZuth9+9J6d/dQsu/jrT+2++42xrbHG5MWXnmtfeuVTe+99T9vOnfrbjgV97erVa+3XXxfbJx970C5873X7j+efsmWbV9s5//uEbZ+fbfccu4dd+OH79ttlK+1fHngYis48+8TDd3mKzik/Pcq++NpLdtZTj9vDcX20tdkZjz9ut+B2xh92sC3oWmjPPecU+/23i+zfZt5q+3TNtocdf6VdCqXl01VP2REHZqEnykj7wTvQ5vAirygtsbfc+nPLQUnHTfqVfekfS+3LC160h580AZMFdbL3P/2ytVvestecNtpm9iqyE6aeZResKLWfkd/3C+0hw7rYcQMK7V+n/cLOnPuxnT5jrjVdhtmBex1l7aYv7G9P3AeKTr793S+vsyvXFtvHZs+wHbsPsb0HjravzvvSVlCvsEtsZRWVnbX2sl9Mhf0F171vDrJoi11dus5+/+n7duzwQZ6i89onVBTL7W233ugpOhecdQJUJKhLJZX2tj/eY4u/X2Z/OeVoi95I9vKrrrfrS6395NOF9oEH/4JR/xWe3HnnnRbNX/Y3v77KlmwAOafwMCmek7JTgyLBjTg1UczyHedcHRYBERCBdCCw7UdjkVKtsU2seumBfjPe3DoYobX/ARNM+x36equX79r5UNOpU2tTiqamjz/+2Fw6eboXrsqfSZl9TjhS6/3330e4Tuaoo47yRjeNGDHCDBs2DM1Ea7xlIjiNy4wZM8wtNz3mX7DUdO3SzaxZs8ZMnz7dPPzAzJoMnIUmr6U//IhOxOXm2GOPNaNGjkLPnkwz5dSfoSfQOoMXtFm5crN59NE55uFZc0x2Xq7JyIn0nP3qq6/MGiyHwAnzOKrspJNOMj179zG77767WbGi3CxcuBB9ZYzpmNEHaao0+W3z0SE7y5RuwsR66M/CzsIcsPTUM0+ZJ595Aotffu2nq5OXVrOhvTeCqxprgP3kJz8xvbtEJtn74q3PzMJPV3phr5h2m1nR+mk0+yBNG9d6M0+XLl5sNiBdHK223377mU4FnbwRViNGPOeNxorMbYSTMRVyRkakk7d3PbjOnTt7v+TaGp3H2e+Hx9hhuaJ8i1mwYIF3fOLEiRhdZ0yHdq3Meef+3Ouw/Nlnn5l89FkmB87ryPXKhg0dhnvgSLnIHEfsx0ReeeAoJwIiIAIiIAKNJZBgN9/GXqbu8zmmJvJpGRmV5YXEy91W5WCuFTb0rDcnnnikmTT1ApOfnW/aVkVm1r3u9nvMjbc8YsaNP8wcd9xxZv78+WbOnDne6dSRvBe6P8Ed/TgcvRVe3HwpczRRv77dPcWlaMDe3rIHtnKLN9yaL9yjjz7a7L3nLt5LfOXK5eaAA8abx2Y/5Y1Qd0PlN2H0FOPvVoDrYHbm/IIcc/LJJ5sefQd58bXKbe8pA3tiQdFO6OzbChpLBTsBF3aG0lRqsjAzM++7E+YMWo0uMesrlxjoCRi9hPFgHPmOtaVyMf8Q5xzk/Zw6+UQzZswYs3jVa2YAOgW3adPP+zWF6FLdCtpDWanpXtgR61JhtmhCbZ1nsqFM7LhjX3PJJZeYF5e389I7eEA/b6RXecYW8+Oa9dB/sk1e20iHmFaZuVAayxBHKdJQ7i35gNhMBnViJIrrlHGcWlk5Ok3BJtQKfmvXr/dYo+XJY8dOzRwtVwDzDVm15qA1RgNHBYbCAW08ximLcjAKjI4dpNmh2U0eST8qeXIiIAIiIAIi0FgC21zZ4Q3U2NH5FqQEbD25efme5YKKzga8ZHNsvjcSiy/HjtB7TjvtNHPCCcd7ismjjz5qfvzxR2+YOi0nHD3073//2wwcONB88eUib9RQDwxx5mgihj/11FPNiFF7eMrE3Odewlw+P2Ck175mhx0GIg2u82vEqsEXMQcOzZ071xx//PGma88+5r333jNr2meYXXfd1cx4+EkvzosvvthkZ2Wb71au8UYV0UJSBg2EChaVII664oueYWlooaLA34L2/WAx6WjeeXcpLD6rTdGgjt6MxH37otcNHC0g55yDyfayDjXLVi+DYvemN2LLbPzcGy7O2Z5Xr15t3OoMHK5PlKtWrTLDhw83e0w50IvnlVc+8tKSj+Hhffr0MevfWuCNsBq1zw7mxRdf9CxinM+Io8IiLnL/NIUxDTlYFoIcJ5iDvVziyC1eo3p9FixSrUxBqwJvqoCNG9EJHHPy7DbxZ2YjJkmecd/d5ogjjjCDMOngW+99ZWbNmmWuvPIy3OsKM3v2bChzp3mXo7LEkXiMo7QUa2vlpsQj6rPQjwiIgAiIQEslUKOLRLvBBLsN1BkM3TbsRq9vCHp3VC9Hx1lslmGz/BN7zpnjcO1e9ur/uR89RDbiD92ZEbYCx2+/9lILo4rNbp1nBw0cYnv26IuwWfaKK37jXWvmzJkWlhWm3Q4aNMB2KGhrTzr5OLt6zTJ79z13WKxV6Uk3dHAeMmIPW1Q0xE6YMKkmneWbS2xVGRaV2IQeRdVl9qvFn9kpU3/mdVDOL+hgBw4dajFbsP3Hc7Pthwvm2z332BX9WQw6+fa3w9EZuWO3brawe3f75oIFdvnatXav/cbaISOH2pf+PdeWl2208195gfYSm9t+mC3FPW2yn9qfnbMP0tvDdioYaY847Ci7qaTUvvHO43bXMRyX1Mnmt+uPjs6jbJdePWzXogF27mvz0ZN6sT3r6N1tl4GD7R33P2TZB8rr37262F598dm2qDDHQpeyhQN2sb1H7G2zCnrbqedfjq41K+zT9/7edu/QGTaaTHTWHmoHD0Efqcy2ttegkfbN9z6ymAXZlm1ZgdjQkap0jX129kM2v22hPeao4+3qzVWWecc+O6MH9bHt+o6wC4rX2BXLv7Mvv/QPe8SBo20+J0Du2NProDx6z73t4qXf21f/fr8d1QudqdFBuf+QnW3/Ab3t/gfsbdesWWU3bSqxaIrz+uw8Nmu2OijXPI2N24hWbgN+Mct3nHN1WAREQATSgcC277NDuwEtK3jfcnIdrwmLLgNWEFpCho/YyYwcOdJsrtzsWRUYls1JF2ACO1o0nn3pY6+5iE1Sr7/+ujc5X1lZhZk6dapnwfnDH242X3/9tTcbMCfr4/wxZ511lhc3FCLzzdISz7pw+CHjzd133424qz2rSxt/jpic7IhloX///uayyy5DM0+mee2117w0nnHGGebgQw4xFon605/+ZO69917zzPMveM1FPTDvzK233upZVXgt9mehtYR9ilrD2sM5g0aOHGR2GHUUrBkGlozW5vzzzzdly18377zzTqRpDaaZ0aNHe32Lpv/uWc+StG7dCs86csnlvzXj9hkL689Sr9mo6/Ic7xp0XMO0Pawzv5s2zXRBPySmbT1YsI/OhRdeaK644hKEWmkmwSq2AQPsb775ZvCtMOeddx6GnVvzzDPPeHPuVFRgyQYvc+BwD7Ts0OrCPj2R+YHyPJ60MFVm9/KsMV0K25lxXbtiyfNLccptZv7Scs8yd+6555qu8B+A+XnuuOMO89s/zTaLFi0yPTq1NTfddJNnIeI++zCR2c477+zlc6LzKUUSqf8iIAIiIAIi8J8EXHeK/zyy1YdffnWG4zdnrJPjHXNrHnGuYs9VRTr2mlaRzrC2OrI+U1VmZBHKLOtP8oc+JxEXb9I//2Vdk5Da+5XoYkzndU+Bq7lRfwFR37vmgJtL2aUbS2DWOtMdr3Zam38UC2H48bvrR7BVVvuTKGZ+5x3PrO7th3MnokMPnLWcIxqKoZ9ArNbl7WdVr/N+yzMjnFzsuWbrop08XupP9ey6wWRXoZ2JLiPSodlmRNJR7sfv1rDKAodqKH+ZrXEmtI8JR0zy+kc9/cLbZqedRpoueZF825AVybd8x8NG/NdnoPc1nJ+rJquS8ykhvVmRCQOzEX7N2jWmIaw9/gAAIABJREFUsGMX89BDD6FZ8gyvmXDmjIdqN2HVZIy7Q5cDkXR7kcpFJQAFtc7yixNilu+oEcpTBERABNKLwLZf9Ty9eG1/qS2DNSoTVp1qWKtoZmG/m82bS819993nLQzfFK6wY6Fn9XryySe9Dsq8Bvvq0LIjJwIiIAIiIAKNJbDNe39uXQXbtzA4E4uJLHrFkUl0XO7BczWWjUj4WJ+skRPC/xMc4hPWA+u8UE2Ca12o7qvUPrL1bN9C4a5TYy+r7Z/pDBuZ6PXruQgnZ99w9g6sOV4rPS6ja66X4Q/rzvTXEfctTFtNWxHLENaJx7c/RltlceacVmbqaSdiNBaGxbfZyeRwpXl3wVpXq99OZRWHmed5Q+ePPvpYc8opp2A0Gps3ebN1k6zfVRRaBERABERgeyVQ5ys8ACSmmbuxzVhcBDTiIr+Yic/fjzQPZdS8tF1zUeQl7ppxMuK+DF380bO40j//P5qxwqf571yng2xtxqodcGubXvglHQkXBm7RB8hzmZHmKnSZ9nb9dUzh7zfnYUlMz9UoO74yUh3hZTMjXLY2C9Y2i1SFm+u4pAadr+zY6nbebrmfHNesmFXB4e+YwxDNYmyxzPBbDUur23pdrHKqGt+MVbKxxLRvV+BZdzi8nSPUVq1ch9FpkSYwL2E14BwANWN5XBJwasZKAJKCiIAItGQC276DsjMNVPlKjXuFcf1xuizM6+I5t8p1RuQlXeG/vLNr3v515VNY6QiHq9Eewgdq7zstJqStuD46LvDWw9G1pXAHp63ha1twtvaEiigzGY5Dtd92lOkrf7724ZSjLH8CwPIapTGSsmwscVrLZTqlsjziHU6Y63sDfJvWV5j8jphvByFLy5ab3Jw2Ed3jP86JjTDaUS6+SqsOHX/ZuZydzKno0LCjuXaiUZOfCIiACIhAUxNogldaUydJ8YmACDQRAZXvJgKpaERABFKWQLhjSsomVAkTAREQAREQAREQgQYRiNfG06BIdZIIiIAIiIAIiIAIpAoBKTupkhNKhwiIgAiIgAiIQFIISNlJClZFKgIiIAIiIAIikCoEpOykSk4oHSIgAiIgAiIgAkkhIGUnKVgVqQiIgAiIgAiIQKoQkLKTKjmhdIiACIiACIiACCSFgJSdpGBVpCIgAiIgAiIgAqlCQMpOquSE0iECIiACIiACIpAUAlJ2koJVkYqACIiACIiACKQKASk7qZITSocIiIAIiIAIiEBSCEjZSQpWRSoCIiACIiACIpAqBKTspEpOKB0iIAIiIAIiIAJJISBlJylYFakIiIAIiIAIiECqEJCykyo5oXSIgAiIgAiIgAgkhYCUnaRgVaQiIAIiIAIiIAKpQkDKTqrkhNIhAiIgAiIgAiKQFAJSdpKCVZGKgAiIgAiIgAikCgEpO6mSE0qHCIiACIiACIhAUghI2UkKVkUqAiIgAiIgAiKQKgSk7KRKTigdIiACIiACIiACSSEgZScpWBWpCIiACIiACIhAqhCQspMqOaF0iIAIiIAIiIAIJIWAlJ2kYFWkIiACIiACIiACqUJAyk6q5ITSIQIiIAIiIAIikBQCUnaSglWRioAIiIAIiIAIpAoBKTupkhNKhwiIgAiIgAiIQFIISNlJClZFKgIiIAIiIAIikCoEpOykSk4oHSIgAiIgAiIgAkkhIGUnKVgVqQiIgAiIgAiIQKoQkLKTKjmhdIiACIiACIiACCSFgJSdpGBVpCIgAiIgAiIgAqlCQMpOquSE0iECIiACIiACIpAUAlJ2koJVkYqACIiACIiACKQKgYwEEmITCKMgIiACIiACIiACIpC2BKTspG3WKeEiEJeAyndcRAogAiKQ5gSsmrHSPAeVfBEQAREQAREQgdgEpOzE5qOjIiACIiACIiACaU5Ayk6aZ6CSLwIiIAIiIAIiEJuAlJ3YfHRUBERABERABEQgzQlI2UnzDFTyRUAEREAEREAEYhOQshObj46KgAiIgAiIgAikOQEpO2megUq+CIiACIiACIhAbAJSdmLz0VEREAEREAEREIE0JyBlJ80zUMkXAREQAREQARGITUDKTmw+OioCIiACIiACIpDmBKTspHkGKvkiIAIiIAIiIAKxCUjZic1HR0VABERABERABNKcgJSdNM9AJV8EREAEREAERCA2ASk7sfnoqAiIgAiIgAiIQJoTkLKT5hmo5IuACIiACIiACMQmIGUnNh8dFQEREAEREAERSHMCUnbSPAOVfBEQAREQAREQgdgEpOzE5qOjIiACIiACIiACaU5Ayk6aZ6CSLwIiIAIiIAIiEJuAlJ3YfHRUBERABERABEQgzQlI2UnzDFTyRUAEREAEREAEYhOQshObj46KgAiIgAiIgAikOQEpO2megUq+CIiACIiACIhAbAJSdmLz0VEREAEREAEREIE0JyBlJ80zUMkXAREQAREQARGITUDKTmw+OioCIiACIiACIpDmBKTspHkGKvkiIAIiIAIiIAKxCUjZic1HR0VABERABERABNKcgJSdNM9AJV8EREAEREAERCA2ASk7sfnoqAiIgAiIgAiIQJoTkLKT5hmo5IuACIiACIiACMQmIGUnNh8dFQEREAEREAERSHMCUnbSPAOVfBEQAREQAREQgdgEpOzE5qOjIiACIiACIiACaU5Ayk6aZ6CSLwIiIAIiIAIiEJuAlJ3YfHRUBERABERABEQgzQlI2Ymdga1wuBiyEfJu7KA6KgIikGYEWnr53hv5UQyphNwcI296++FK8ftkjHBNeehiRPYdxEImNmXEiksEohFoCmWni//QbvIfXD7AYdmcpg90FdJdBHk6Grxm9tsf17u8ma/ZFJebhkj2bIqIFMc2IaDy3bzYx+Nyf4csgfwAWQl5FXI1ZHg9kzIf4Ysgy+Kcx/qa4ZL5QfcbxL8Yku2n5Rb87u9v60cEkk6gKZQdFkZ+GTwKKfO3uR+U55J+Jy3/AvvjFtNR2bkK6Zayk77Pp8p38+Xd73GpxyCsS3eA9IT0gvwFQkvIXEi6utVIOBW46nS9AaU7vQlkNVPyb8V1vmmma+kyIiACzUtA5bvxvE9DFJdB9oe8EoiuHNsPQtjkdk3AP90270GCKXIisE0INIVlJ1bCd8PBlyE0p9Ikuz9kBYTttOshUyGjID9CKiA0p9JRCZsOec+XD/DLAt/dOxpx5+CH8VD+C3I9hHEuhUyGZEBuhKyD8IvidIhz+2CD12Jb9m0QhmP6tkD+D9IXEs/lI8CfIMWQLyALIEeFThqAfZqkmf73IeTwy1CYRHaf8s/jNV0T4R3Ypsmb+2TwCz8iF4aV5P2+H39oymY4/u4EocmafZFeg/ArMuhysMP4+TVGpmzGOxXizv+tHzjW/TnGDDoN4tJd5J/L/OHX6ueQzyBkeAWE/nTR8nct/L+HuOv7QfWzjQiofDdN+eYzPw3CMhlUdILZOgs7rKeCrh12WE6LISw/H0Gm1ApR986+OMQ6i3XeIsgxdQdN6MiBCMX6jXF+CHkW4vri/BHbtBCy/hgCieZY57Bsu3cD62E61vmuruZxKn10h0HegXwJKYbcB+nIA74L1ncj4fc6hC0PjH/E1mAxt4J8eU/keydkUOCseHmQ6LuG98X7ZHcQPgfMR+Yp84fvjv0hQRev/iRn3iuFz87xELJi14xVwYi0vZUAYSXiaGotDQV0lWHQmw/1JxAqAK39A1fiN/gC4wO0BsKXKR0fhJsgfGDdy7A9tneEMH186M+D8KG+H8IM5dcmFQD6zYRQmQorMXy4+DLnF1UuZCCEDzTT5woVNs3DED6AzvEYC/ZCiCtgP8E2r3vo1mDeOVTCnJuEDT68QVeInYKQX7TdafCk4hbNkYFTdtxxpu3+QOA+2L4bQq6PQ/aC7Af5GvJiIBw3WTmVQA6BZEEOglCJDFcUidxftLTxGjTZb4DszB045iUrxOv8/WD+8joXQZiXPM44WVnLNZ6Ayve2L9/D/Wf69npkJ+ugVyEsG64OYplg/fLfoXhYz90c8GM9yH6UbDLjuZT7IVQmnoTU13XDCXxJu7ovE9u83guBiHiMz1pQ2aHSQL+JgXD8+JkT2Ocmm/NYJzt3BDZY157ue7Cu4LuBH268Nl2wvqPiRGVsLIR1zIhIkJj/Hd/3EMrx7YdtMrrcP7O+eZDou4Z17xMQ9254BNvM1/7+dfkTr/7ku7UIQkWJ7zQqPHwfT4aQwfbmEqrnEgoEclR2GDYsL0ehujv8aFW5GjIK8gaEL1Xn+MAWBfa5SUWEcQcfVCoo9OPL2zk+5PQLFhi2e9Pvp4Fw3GQlwIch6A7HDsOeFPAMKzvUkhnmmNqnmnnYf9P348PG9umzQ2GuCuzznpdDqEjEc9MQoDHKDuO/ARJm+Cv4URF0lQRZ0SpEZTHoqLQFz03k/ng+zwkrYj3gx2uGK/fp8GOhdsqfy99gBcwKhhap30HkGk+A+ZOIU/k2SSvfrs75dSIZ4Yc5Dr/MO774g+5B7PClmhfwDCs7/JhhGe8SCMMyRwWoIcrOQTiPaRkciI8WmZ8H9hNVdsiAdUPXwLlULmj1dY6KzweBfW66NPA6zrn6ji9558iLSkQ85/gGFTGew/Rd4p9c3zxI9F0Tzhuml4aEe/zrJlp/MjjfR1RuWJc6Ryv99uase8E11Y3TTEjLixMqNdHcO/C8CcIH+G8QFgoqP85RSeCX/j8hxb687B8c4AIFfql9O/eDvxH2Y2HkF0jYvRvy4BcCHS0fdbnx/gEX1oXjwzwGwi8NFlg+aFQa/gAZ7Qeiguccv05YERUH/JK9yULzceAivD6Vrk6+H9NJRYYKaNAFedI/kfsLRVGzOw5bvGY0fiyUe4dO5PPiHJn9CImWl6HTtNvEBFS+m798n488LIawnPJjZ4Kfp3y50wXLBvffhrApu666l2FYt30FCX7hM25aeRviqHhQwXoRcimkH2QZ5N4GREZlje+lUwLn0hpBfzoqUcMg0eoOHnd1cyR0pOkqWMf/Hw7Quh3P1cX3Opx4s39yXWHqyoNE3zVLEH8wb5jezyDunVTf+pNNi6z3nXMsA14tf7OplZ0wMTalHBv29Pen4ddpnMzIoGNmcgQXX7j8WiiCuIzOrhUyssOC5hxfhnRBPyo6VKBoFQi7YDgeY6Fn2J7hgIH9zv72W/gtDggtPmyaYYGkY7vybZCTIHzQv4Cc4B2JOKaLysV+Ab9kb4bv1/FybHr4CVgbSgi5hF28+wuHd/uO3+3wKA4I95m+4Fcdz4mW5mh56eLXb/MQUPlumvLNlxudqzeCuXcXdoog50A6QPghQufKULicuhe5O+4Hr/XDMh4+jwGilfFo54f9WI/zI4/KzlWQYsgrkJ3CARPYp1L3L8gUPyzr/W8hbD6ic/d1MraLA8KPMdYTYatNQ+/JXSeWYlTfPAjXY3W9a8LheN9Mh3sn1bf+jJbXjHO7cslWdmitqethOQDH+ADzK+DKEHUqB3wJ/w+EJr1kOlYgQdcRO+TiLETRrr3K9xyF36KAsLIqgHzpH+dD+xtIHwgVA+7PguzsH2+qHypnGaHI2jUwclpN6MKVBu8r7Bp6f47f2YiwKCC9sc3rzAxfSPspSUDlu2nK96fIXb7Q961HLrsyFC6nbt8djxYly3j4PIaLVsajnR/Njx9yUyGsA8+E8CN1LiTax2m084N+92OHdeuukNMg3HfO3dcMeBSFhOk/IxC2MZvuOnwf1OXqmweJvmvC4Xh9Wt7dO0n1Z105EsM/2cqOuzTbOYPthMzMGyHH+L+X45cPtnPu6yXgFdPSEgxX3+3gdXnuWD8CWpXqcmxeo2OBDDqaV//se+Tj9w5/m4rbC5ATIVRKhvv+/KGWHqtAuaBsNnIKDfNtIsRZN1b48biwbEaj4tAQxy8kXstZ0lwcu4QiS/T++EJ06R6C7aGQl/1rhPkx3x+BxLKqhZKh3RQgoPLduPJNC+/VEH4EHZJgftL6QRduruI+P0LCzVvBaFm3DYR0CXiyTh4QDFSPbTY7n+WH34jfv0L4kcem5uA1Eo3y7wjIe/gvyATI04ET2Tz2MSRcdzDINMjBgbCN2XR8dwtFcgH2r/D96psHib5r+iJ+162Al6JiuiPEvZNexjbr6DAD1Z+kVYdrLmWHmcWXo3N/wMYtEFp2WMg/h9wPcV8B/4ttZhwLDF+UbSHTIMlwVDYuhPDaRZDrIfzSeiLGxVj4XvHDOkWFXxV3QviFRsf4WFiDTVTcLoW4hzYL27zW+zwhjluC4+0grJRGQPhl45qgXsX2JP8Y85Qvnw2QhjjmyX2Q0yHjIYyP6WYnyqBL5P4Ynul2itd12D4Qwgrr95DzIbwXOrK4FsIvQ/cF4x9K6IfPURnEKYAJnaRATUJA5TuCsTHlmwrCrZDHILRss/6jYzljOWRfGJZ3KgF0VAheg0yDuDpoH2yzKf1KyGZIXY4fmvwIYX3F+oQfR7f5fuFzEilXbBZjneM+UlgGqQCxXmd9Ul/HOpIcaCF6HsL9oLsYO+zqEOwScCz2GT6RujSRewrydRavwYj/Msg//MTUNw8SfdesRfw3Q5g37qOSCjHrTLrG1p+s06shfE7kAgQIOZaj5l4MKYEwLLfDwgLKFxtfejzmwuX4/sxc+v0IORJCRw16MYQvvtchfMAZhlaMGyBsFuKLlH6rISy4e0KKfb81+KWVhZp50I/NSM59hw0+VNTUl0I4Eug5CDVrOhbaYgi/Vvgi5Ta/iOioeLCCKIZ8CFkA+SUkA0LHyooPEy0lCyEMw8rpAB70HcPyOJWVeK4NAjwL+QrCL5vjAif0wfY/IeTA+MiQ12S6GZ5uLoT5wAqzGML7oHLB9nYy/Bbi4mS+3A4hQ8oj/jGGc1apRO4Pwb0+W19DeP9MPxVX5/hMLPLlA/zeBWEBp4uWv+5Z41cNn7d5flj+PAh5I7CvzcQIqHynRvl2uTUBG3MgrNtYJ7FM00rDOm9HF8j/bY/fOyDFkC8gH0Gm+sf4Q4WjGELFhmU/aO3ZF/usK1jnsY74OYTlaROkGJIHoUukXLFeZ9llvcR65xMIPxYHMAI41s3LIXzWqPywLqew/qUfjzFM0LEu5zH+RnPj4cn3wjcQ1r38AB0aCBiu76jgOJfIPTFskC/rJ16P+RN08fLAhY33rnHhHsbGu5CJEPKk0kqm+7sAgd9Y9ScV4GII31suT1mn0jFfyDZ8L/7hFvkTr57zbjqhQGmKxz2AaZr8Zk02m+D4LHRt1qsmdjGmaR2EX7Vy9SOg8l0/XttT6JZYrrbVPSX6rnHKTjKfs+sROT8+M5N5kRSLu8mHnqfY/Sk5DSRAk/SI0LmjsL8KQstaqjlaofhlGavpMdXSrPSIQKoTaInlqiXeU32eI/Yr5UfhTyBsytpuXNZ2c6e60foQYNs0FZ6pkHLISMjZkOn1iaQZw56Ga4Xb9Zvx8rqUCLRIAi2xXLXEe6rPw/cpAvNDVvVlFGot0czNjnw0K7Itm30/2OYrt5UA24tfhHzmC/sDsI3d9UcSq5ZDQOW75eSl7iT1CCT6rmH/UL6T2L+GH5jcdv1DU++u0i9FCdVzCQVKv3tXikVABEBA5VuPgQiIQEsnoD47LT2HdX8iIAIiIAIisL0TaK7e2MGhh5xYTk4EREAESCA4PPrmRiJhU0AxhFMucPiunAiIgAgkTKCpzNyH4oqMKx2UHU4axbll5ESgpRNoqvJNTpzbg/Nicc6W+rpEh+YmEm9zDN+dhoTUNQdMImlUGBEQgeYjoGasOlhz4qsf6zgmbxEQgegE2OGfE+FxktCW7q7CDUrZaem5rPtrMQQ09Dx6VnJ4opwIiED9CHBkoxSA+jFTaBEQgWYg0JR9dg5Get+AcOrxjyAcunx6lHvgOiOc2ptD7Di0+YhAGDZx0axO4bIOnPzoSwiXOOCEds5xKQkuM8C1V7ikxHWQ7K2HvbVDGAd/d4JwWnS24/8fpBNkF9+PlTOXhwjOCsxh6BsgPNc5nkc/ztLr3DRsME28TpHveY6/T7//gnCmSk7Tzq/dyRAO3ea6NIxnCSQaH3jLiUDKEIj2TNNyQ+vnbwOp5DBZNkVxenqW3aAbhJ2nIHzmOfU9+9Nw3bv8WqG27hRhk3GxHNHCyjLjHKe857IHrBeKIfdB2HzWVI5llNMssG5h/cRpF7icjJt2wQ0l5vWmQZhOShE94NpB3BIOnKWWdSH7LJKBnAiIQAoTSKRNnxUQTdin+vfBiuEaSHDiokOxz7jYH+ZoyM4QKhqsOLm+CB3XWyqCvA9hJcFKczcIFYWVEDoqNlyviTP60vWEsEKa7e/zpw/kbgjD/Q0yBsI08lqPQ1jx8guUaWKYeyFBdwN2gsoOj02DBJUd+vE+gsoO72NH348V8nkQTsh3P4QK262QX/h+M/HLNZ7cOlzYlBOBZicQr3wHn2kqKRdB+EyzHPLcfUMpfhP7QWWnF/Y56zaVEvdxNQHbrC+CViAqDMEOyiwrnBU76PhhxHLkPhKYttchr0GCH24PY7+hHZR/j3P5YcP6iY7lmXUP7zfoeO8sy0HHDtKvQvhx5RSwftimYnh57aDaEwERaEYC8eo5LymJBOKCZeHKJQd+/Cpzzik75wf8qIQwfq4WHHSsMFnB5AY8qUj1gFBBuKlW6Ejlx3j2DvhTYaEfp8d27q++364BP1bCVJaCrqHKDuNgmnldKlXOUfmi35yAH18C9PtpwE+bItDcBBIp3+6ZfjKQOL7YaS39XSjBLLuzAn5UWGjtoUU16F7ADsu/c0Fl5w/w/GOt0JGdT/DzQcj/IOzzHg4N+DdU2XH1C5cUCLrp2OGCmQUBT14zrOwcBz/6T6x1dmQ28ktCftoVARFoPgJN0kG5O9I7HEJLRtCxgmPlEXbBcPzioesWDoT9BZCgZehB7I+DZEHC13rbP58VX9CxguL02M5xpAi/DBcG/FjJRrt+IEiDNvl15xyvSxf2Y8WYjGvXXFgbItCEBILljuWIHzPxnl+WSa56vzqUDionrtwGD92CnZMgF4bCs57hhwstOUFHKzDd+NreDdpz9Uu0a1DhC35MRbuAq3/C9ROtQkGrVbRz5ScCIpBEAlQcGus6+xGwOSgRxz4szrHCpONXYtixySns3LXCx9y13XF3Hs3RQcfr8Ws0uAAa/aJdP3RqvXej3WfQj4oO05GMa9c7sTpBBBIgEHx+GTyRssMyyf4vibgpCERFgYoN+82wSck5V7ZPhgebpIOO6SoM+TVk112Dlp3gtVlP8hrBvn3R4q9vXRgtDvmJgAgkgUBTKDur/HR1TEL6wlG6a4UrNrfvjofPa4p9Vuyuk6KLr11TRKw4RKAFE2CZTLRuoEWF/eDugkyDPAP5zGfjyvYM7P/S92vqH3eNsxFxsMk50esE60L2U5ITARFIEQLBTn0NTdIynMi29N1CEbTF/huQLg2NOMp5r8CPHRt3Dx1z+/+Kck5TebHyYodI9kVyLtgfqKmu0xsR5TVVZIpHBLYxAZbJAZCwwvMA/A4Jpe1L7NPi+SsIm8hmQpzlk/XMxxA3MCF46jTscDRoY93LiIB9AsPX4MCJRyAcDOEc6yH38TME20Mhrv4J14UX4NgVgXM7YDuelSgQXJsiIAKNJdAUyg7TcCmEnX5/5ieI8f4PhH1VVvp+TfHDCvAmyOmQnfwI2S+IIx2egsxviovUEQdHfNCd4v9ylMaEOsI21JuKzmII70VOBFoCgetxE2xO5q+rb47FNgclhPvGuPvdiI0zIHtAglYcNm2xX80JLiB+GdeZENd3J3Co1ubV2GM/wljNxlSo2Hx1PmSEfzat39dC2LTG+sy5JdhgeaVjn5wDIX+HsJ6YBnGdmQdj+zIIR6E6x49AWqz0UROAok0R2NYE+KWViONXGgvxV5APIH+C0BJCx4pmOYRxsVMylaIjId/6flSIbobw668Ywkppk78dbp+Ht9d5kZUF+wKw8yMr0mwe8N1c/LKNnU1PxZCBEI4QWQdhPxn60SrzMIT9f5zfnthmn4HgucFOif+NY6zkKA9BqPjwnr6DsIJkWnmMfuyQyfk1GGex78e+RX+G8Msv6Me00XHECpnc6+/rRwSSTSBe+Y72TNNaWwyhFaQEMg/CMka/YNl1isUO8KcisBRCpeR/IfSjYzkshtBSwnL3IoTn0Y/xl/vbzjI0HvtUkr6BLIA8DaFVhc6dR2WJ6SiGMF10D0Le8Lfj/bAsL/KFdRmb1WiNCToqWax7PoQ8C6Elm4513h2QYgjPZVon8EDAPY9tTq1Bi5GcCIhA8gnEq+e8FCQUKPlp1RVEQASSQGB7KN9sMuKHzvFJ4KcoRUAEUp9AQvVcQoFS/16VQhEQgSgEtofy/Sjue3qUe5eXCIjA9kEgoXouoUDbBy/dpQi0OALbQ/nmHDlyIiAC2y+BhOq5hAJtvwx15yKQ1gRUvtM6+5R4ERCBBAg0yQzKCVxHQURABERABERABERg2xBoqqHn2yb1uqoIiIAIiIAIiIAIxCEgZScOIB0WAREQAREQARFIbwJSdtI7/5R6ERABERABERCBOASk7MQBpMMiIAIiIAIiIALpTUDKTnrnn1IvAiIgAiIgAiIQh4CUnTiAdFgEREAEREAERCC9CUjZSe/8U+pFQAREQAREQATiEJCyEweQDouACIiACIiACKQ3ASk76Z1/Sr0IiIAIiIAIiEAcAlJ24gDSYREQAREQAREQgfQmIGUnvfNPqRcBERABERABEYhDQMpOHEA6LAIiIAIiIAIikN4EpOykd/4p9SIgAiIgAiIgAnEISNmJA0iHRUAEREAEREAE0puAlJ30zj+lXgREQAREQAREIA4BKTtxAOmwCIiACIiACIhAehOQspPe+afUi4AIiIAIiIAIxCEgZScOIB0WAREQAREQARFIbwJSdtI7/5R6ERABERABERCBOASk7MQBpMOfQKynAAABi0lEQVQiIAIiIAIiIALpTUDKTnrnn1IvAiIgAiIgAiIQh4CUnTiAdFgEREAEREAERCC9CUjZSe/8U+pFQAREQAREQATiEJCyEweQDouACIiACIiACKQ3ASk76Z1/Sr0IiIAIiIAIiEAcAlJ24gDSYREQAREQAREQgfQmIGUnvfNPqRcBERABERABEYhDQMpOHEA6LAIiIAIiIAIikN4EpOykd/4p9SIgAiIgAiIgAnEISNmJA0iHRUAEREAEREAE0puAlJ30zj+lXgREQAREQAREIA4BKTtxAOmwCIiACIiACIhAehOQspPe+afUi4AIiIAIiIAIxCEgZScOIB0WAREQAREQARFIbwIZCSTfJhBGQURABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABERABJqZwP8D0XX06MidXyUAAAAASUVORK5CYII=)
Question 5.Explain how many portions of an atom located at (i) corner and (ii) body-center of a cubic unit cell is part of its neighbouring unit cell.
Answer:The portion of an atom of the corner of a cubic unit cell is shared by eight adjacent unit cells as shown below:
![](data:image/jpeg;base64,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)
Therefore, a portion of the atom at the corner = 8 × 1/8 = 1 atom.
(ii) The atoms present at the center of the body is not shared by its neighbouring unit cell.
Therefore, portion of the atom at the center = 1 atom
Give the significance of a ‘lattice point’,
Answer:
The points in a crystal lattice where atoms or ions can be placed are called as lattice points. Lattice Points can be vacant or filled.
The number of lattice points can be different as well as can be arranged in different ways which give rise to the different crystal lattice.
Given below is a diagram of the crystal lattice and the lattice points:
Question 2.
Name the parameters that characterize a unit cell
Answer:
There are a total of six parameters that characterize a unit cell.
i. Dimensions of a unit cell (also called the edges): a, b and c.
ii. The angles between the edges: α, β and γ
The variation of these 6 parameters leads to different shapes and sizes of the unit cell, shown as below:
Where a, b and c are technically the vectors of the unit cell. The angle α is between edges b and c; the angle β is between the edges α and γ; γ is the angle between a and b.
Question 3.
Distinguish between
Hexagonal and monoclinic unit cells
Answer:
Question 4.
Distinguish between
Face-centred and end-centred unit cells.
Answer:
Question 5.
Explain how many portions of an atom located at (i) corner and (ii) body-center of a cubic unit cell is part of its neighbouring unit cell.
Answer:
The portion of an atom of the corner of a cubic unit cell is shared by eight adjacent unit cells as shown below:
Therefore, a portion of the atom at the corner = 8 × 1/8 = 1 atom.
(ii) The atoms present at the center of the body is not shared by its neighbouring unit cell.
Therefore, portion of the atom at the center = 1 atom
Intext Questions Pg-21
Question 1.What is the two dimensional coordination number of a molecule in square close-packed layer?
Answer:In a two dimensional square closed packed layer, a molecule touches four neighbour atoms. Therefore, 4 is the two dimensional coordinate number of a molecule in square closed packing.
Explanation-In two dimensional square close-packed layer each sphere is in contact with four of its neighbours hence its coordination number is four.
Question 2.A compound forms hexagonal close-packed structure. What is the total number of voids in 0.5 mol of it? How many of these are tetrahedral voids?
Answer:Number of atoms in close packing = 0.5 mol
1 mol has 6.022x1023 particles
So that
Number of close- packed particles = 0.5 × 6.022 × 1023 = 3.011 × 1023
Number of tetrahedral voids = 2 × number of atoms in close packing plug the value we get
Number of tetrahedral voids = 2 × 3.011 × 10 23 = 6.022 × 10 23
Number of octahedral = number of atoms in close packing
So that
Number of octahedral voids = 3.011 × 10 23
Total number of voids = tetrahedral voids + octahedral voids
= 6.022 × 10 23 + 3.011 × 10 23
= 9.03 × 10 23
Question 3.A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3rd of tetrahedral voids. What is the formula of the compound?
Answer:The formula can be determined by using the following method
Let the number of atoms of the element N = n
Number of tetravalent voids = 2n
It is given that the atoms of element M occupy 1/3 of the tetrahedral voids.
So that the number of atoms of M = (1/3) × 2n
Ratio of the number of atoms of M and N
M:N =2n/3:n
Multiplying the 3 and divide by n we get
M:N = 2:3
Hence, the formula of the compound is M2N3 .
Question 4.Which of the following lattices has the highest packing efficiency
(i) simple cubic
(ii) body-centred cubic and
(iii) Hexagonal close-packed lattice?
Answer:(i)
![](data:image/png;base64,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)
In a simple cubic lattice the atoms are located only at the corners of the cube.
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The relation between radius and edge a
Can be given as a = 2r
The volume of the cubic unit cell = side3 = a3
= (2r3)
= 8r3
Number of atoms in unit cell ![](data:image/png;base64,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)
The volume of the occupied space ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAiCAMAAAAkngR3AAAAAXNSR0IArs4c6QAAAIpQTFRFAAAAAAAAAAA6AABmADo6ADqQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOma2OpDbZgAAZgA6ZjpmZpDbZrbbZrb/kDoAkDo6kGY6kGZmkGaQkLbbkNv/tmYAtmY6trbbttv/tv//25A625Bm27Zm27aQ27a229uQ2////7Zm/7aQ/9uQ/9u2//+2///bMi+giwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABlUlEQVRIS9VV3VqDMAyl+FOdY6gMpoJKcTos9P1fz9ImpRstm92Fn7nZvpKcniQnaRT9I+ue3pFtm+zOIM7vyjGaLetgqD5dq1hO1S+7CmZVXSsgUSwUkshXgaT4jc6NZbnm1l4E5geU2kQAUigpqE7/UIs8e1YlYn5SzYLEj57kIYyRwXSxAdwRIIqX6CO2Om37VKZVmF3Up3M1x7oeXtSnunPSvihkJfIZIXSbzJ0dp477K3+hKnLpQWqJbv2eMV8pBq+tFvDEZpDERnVB2qolZN3QuOzvS28/nNczRfS15Lc1BHK6zLZSwg0FFVR4C0H+TiQkaiMdHSFEgit09i4kd3Gsas1W3OZ0gDTNLhRp2jvnZKCehq2gHfwDZCDdygSNDzMpHb5LUzm3vNWpyM20GC9zNnATuRx+TqWoZlDUp3GC53kew5EdB2VZmwePjgfvecAKsTePg+ZJoONbApsH35qTom0nE4ibJ/yZgkjcPMGUhvaBENTmCX1ZtKaKZIebR/7/dX3sgM8aN0/3dhbQHwb/AIbZInGOW2vqAAAAAElFTkSuQmCC)
And we know that, the packing efficiency ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAAAhCAMAAACRHauVAAAAAXNSR0IArs4c6QAAAKVQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6OgBmOjo6OmZmOmaQOma2OpDbZgAAZgA6ZgBmZjoAZjo6ZjqQZpDbZra2ZrbbZrb/kDoAkDo6kGY6kLaQkLbbkLb/kNv/tmYAtmY6tmZmtmaQtpA6tpBmtrZmttv/tv/btv//25A625Bm27Zm29vb2/+22//b2////7Zm/9uQ/9u2//+2///b7sTNxQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAC90lEQVRYR+1Yi3LaMBCUHBxIH0BK2gaSJpgG2uKkrWzs//+07t3pYWds3ClOJ8ygGY+Qb++0Pp0UbZQ6tf+TgXKh9UTlIz1086XhZyeFx5Ged4L6A+ymxDI92/qQiafdNUs22D4tu0AI3hmwXDGkvNXRJ981BE5jo1QyCZbu0H4JyLW7tX38itak+GjU47sZc02HJr9Yuq4hMFmLD0jrbqb1e0wOrhnqQJ54M4ru1jq6R9QbrcccwCIzrbkEZChYjCu4WyqwNWCx8T4hYnE1V8UVLwznp5jOVbmY2K4pB7CqDGktF0PDBUF+lAp60mipEnqGFEXtEK2K5Lw6xzS6U0lsAq6YXqsVIBQoRA8RQfQz6Aaul+CdDAvpGtcrjX/fwEr55bqtccVUVCR4h/2HRrUSkMzVDRkXm4Cj2TLLteZjI8J1ZGtP8trNNb/4Qksr0YRXyGuFK9m5BWSFa2wcV49TT29p9TlYzcfN8jyvnTWA5eGqK6aogQXCrs4RHgXG9WC54h3Zyw3x9Ujeln5osQGXYbnTwZaC/az5EJIiolapZlEhCeZEhrAq+FLbtRQBb+ccW2RssJ/kwB2v9YTOXRrLu5mOriWxHslVJUPC4qngioUebLBD8xFOIutTjfiVPxznQGqrq5AZbNfI9fTylIHXmoGEypgbNumxNc/9lf04sjwedQ0cWa5PdF8gA/0LLi/Y5GrT0tqM5N0q+foXXO6e3Mm1US25a377NatPwfXX4rIRSB/QKvkOF1wkQHX8zYo0lZyvNIQXBJgRC8RcXcGJUYQYXV8ZZHXaXq4HCy4WU/mbrVu95Oy7iCESX2yhe7RXcKzK+BZv8yqgH1bP7eUKt8MElwiUQMdpFhJfXtB4rk4VBa4CcjptP9dDBVdPXO1n7ed6qOBixVU+GCfSSHivpQashZL+TMFxDUCIkYxh919Wz5Hco2f/WffPgovE1GDpRJpKIF95iH8YiEWW2Ck4UmViJCFGNnFnteXl3Qv8LTmFRAb+AIMDjNEyV/hTAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 52.36%
(ii) ![](data:image/png;base64,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)
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The diagonal of a cube is always a ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAZCAMAAACvvTZ1AAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOjoAOjqQOmaQOma2OpDbZgAAZgBmZjo6ZjqQZmY6Zrb/kDoAkDo6kDpmkGY6kLbbkNv/tmYAtmY6ttv/tv//25A627Zm27aQ29u229v/2/+22////7Zm/9uQ/9u2/9vb//+2///byoz1kAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAA+ElEQVQ4T+VS0XaCMAxNRAV1bI5OtqrVIdCR///BJa1bPYe6Ux58Wp4oyb25NwnAfwqDIZJ809tHUl0oGrbtRES3nAgAXQHQqUCcJ6qj3RFAz97BqlkapF+xDS3KDHK3SDgBm5AwTz/fOuNu4yC1bEm7/l+NpPdXKbZeH+Stf5dzK7LPK7A1ipTh2REPJeL6jykL4rNxKsJsz3lcFdD5JUfnsc/ZggluOxRLI1Xig2uljlR2vD0RxzCOTvx4BHRYudkyVmr5GUMIkX31CFKLk6MlWZ5Vi7j1PW/jUno6g4WntTV72yRc5FDeGU9Mnf9nJt/tfa4HZr4BzoMPlWEDJpYAAAAASUVORK5CYII=)
The relation between radius and the edge will be
= 4r
Divide by root 3 we get A ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAhCAMAAACLDYleAAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADo6ADqQAGa2OgAAOgA6OjoAOjqQOma2ZgA6ZjpmZma2ZpDbZrbbZrb/kDoAkDo6kGY6kGaQkJCQkLbbkNv/tmYAtmZmtpBmtv//25A625Bm27Zm27aQ27a229uQ2/+22////7Zm/9uQ/9u2//+2///bz5y6nQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAA1UlEQVQ4T7VT2xKCIBBdLCPLyrQL5qWbEPz/D7ag9cQOjjOeF5nxXNhlF2BGKH4MuJsiCVGaLEeKZHHF485rJ7fGUqCJhNp4KXpXmzw7d9AQFihmFvibpmDEEES6IOXFFzUozlYzNnaadelKtIjEWIe/ZDiM0k0JGmXsSP1LIWjJrQ7Z6X2IAfIA0CYswg+FVoAprnCn+2lw6CzU2tdyU6G56q/yOWW+mGeFwybdkpRs6aW4qfyV/CB2ronfNkenAofTv3M6vbhaW04XjTsWahyxg6TsC+gyDFmjieypAAAAAElFTkSuQmCC)
Total number of atoms in body centred cubic
Number of atoms at the corner![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFoAAAAgCAMAAAClz5+XAAAAAXNSR0IArs4c6QAAAIFQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOjoAOmZmOmaQOma2OpC2OpDbZgAAZjoAZjo6ZjpmZmaQZpDbZrbbZrb/kDoAkGY6kLbbkNv/tmYAtmY6ttv/tv//25A625Bm27Zm27aQ29u22////7Zm/9uQ/9u2//+2///b9KClnQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABSklEQVRIS+2UUVeEIBCFZ6yttdZWt9qorMjNFfj/P7BBkc2TgHQOT+28eBS5DB/3AvBfSr2tE23187ZKJQ3Az9LTY0sHRNXX7V8t0twgZo+u2Ryptj7tw+7VMcyzPUDjn+1RFhVefMyPK9Z7q74adi3vh/+EeYZQdJt3HpI25lVspbVlWYRE7bhTGo6ogWQjL8Wof1lGxGSUrvWp9GXFDvmPFwDS/qrW86aYmU1pdQGBLqfz5/hkN6gYGvD0yfTho+NhrXV6DKYm0guIO4EYrLXdVQ/ktNBEOw6I6Xc039A/rbc8gW7WHO/aU2TMSjEW4dYQv+jpoK9ezGfxMLTbmWeItXomf+Gl854IzU80TncEbpaDj+hCsS2I0nvzRahNfpUlZamOiP3yhRQrWqHlE5RmXSRhLas9pSgJkC5PJg0NRSKN+RKcXrTkN/AeFxZFcTsTAAAAAElFTkSuQmCC)
Number of atoms at the centre = 1
Total number of atoms = 2
The volume of the cubic unit cell = side3
= a3
= (4r/a√3)3
The volume of the occupied space ![](data:image/png;base64,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)
Packing efficiency ![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAABQCAMAAAAHmVrCAAAAAXNSR0IArs4c6QAAALFQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZjqQZmZmZmaQZpDbZrbbZrb/kDoAkDo6kDpmkGY6kGZmkLaQkLbbkNv/tmYAtmY6trbbttv/tv//25A625Bm27Zm27aQ27a229u229v/2////7Zm/7aQ/9uQ/9u2/9vb//+2///bqsSXwAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAETElEQVRoQ+1af1vTMBBuBowqApMq/sThlBWhbMJqa/v9P5h3l6RJWFqStgs+j/YPFkpyb3J573J5RxT9f9o9sDpibPL52TyUTS6iaMXOnmMC5beben6IyOl0k882gedQvFpGEh9mkR3fBp1AlXwBvJyh/ydLaGbToB5IyfPROgb+ITz4IiQLihcEWsQAmjF0RZTvBdwBvvx6jk7nP4M6oIhpyVXC+c9XnnU44O5o1DQhoMTKIf74ZtCkbE99eSVoOk6QCETY+tebJv9USScDBWXGmIDwO5jC/HtwxW0Kb7QAlAsI1dZn/Y74HNULxk5uzNb2IKL99iN4YAVJ2X47fnnOOHdwCeUc26plMZfziHv8ZDwTtDxrSY/qPQ/UUnxGxemNIFSOFsi6annjow/5c5Yz9uUuniyrN0tFz3p+gBOokpkyLfDJg7S7quW+UJGIrpfFy1sBV8THF2vIVXexFn9EFMUhBOD4nEFVMt2oloejm23R8W1MAev354f6eaHjI7aR2Vo3WvqZMepixbcypZ4z87jyw3+Kf/r6/fFxZ6T/+Sn3+BmKT/43HGDyD/ZM8M+e0ZpMW1P+kVHXxD8ehbyPNSdL/mkEEPjEYFqdalnW3+SfdHIVlXMZ9jIrE5uhz6+looRmReRJIwBE6jCp35pQRd0FXsL9EWEnqzF4g46o51AXF1CebLmw/MQXXohPSLrQje1jGQ2ZkJ3Sn1XL4oBmpfg36faWrGxl0MCXlB35Uy5O6bwQKXOgYcfhzVFbJdJfVIY7Dh/eTat21zE/u3hFHOjRwXJOsbAFuIbGeRd0+ch6CD1e81O+CFv+A2p9OYNTCuKgxEMTfgu08wrm5y0EH2QOvHqWP4LD/zOAaVNmdNaX4fyhyp7dt8KtqhXpr/O/o0/q61ieSN03E0d7nt3yePYghhRwBfEcPbh7Hjf3vSr5GBxfr+7SM61eGbwwNwNaiZ6fbMLjp3vfoZTEowHvnsHx4YIFysgaKgM6mAE/C1gdNVoIKrMyRz4HvpTEgvtfXApkSRwev4jhfr+SOk1L/htZFTQiswD6S2UMOGBLQGOrgm6Zwew1oirYB75bFexj0WGMVMWgiO9SBR0s9ewiVTEY3qiCPU31GiZu6oYq2MuQZdBTJSEOkaqMoQqONQEHOx1KvcPo4V1C42fapuj+H74SJwv15aPqr0U/dDLWo1P1wRRmrKpYD7uuQ3K7iuo63LOfqYni4BT1CUMp9TTp1d3URGFo/RX0qa23XjZ9OhuaKLH9BLZ/662PSf+++ldRWaPAdn1B5Y/RPkJqor/pAnYtok8ppWNibduSmmi5YEj86q2QJ5VSult8sE6a6P0D+VtFn1RKdw6PmiBuOv96XhX+QikNgM9P+Bq+ytSTbwiFXtNESRql6NOV0h2vXmmiBDtdUfQZb3c7g0YTRZiMHfHtN97udgK69SoJ+V8hlnVlQc++cI4NhvQHgWWDOLkIA7cAAAAASUVORK5CYII=)
= 68%
(iii) Let the base of the hexagon is a and the height is c
Each angle in hexagonal will be 60 degree at the base
Packing efficiency of
Hexagonal close- packed lattice ![](data:image/png;base64,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)
![](data:image/png;base64,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)
a = 2r c
= 1.633a
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAAA9CAMAAAD/NYn7AAAAAXNSR0IArs4c6QAAALdQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmY6ZmZmZmaQZpDbZrbbZrb/kDoAkDo6kGYAkGY6kGZmkLaQkLbbkNv/tmYAtmY6tmZmtpBmtrbbttvbttv/tv//25A625Bm27Zm27aQ27a229u229v/2/+22////7Zm/7aQ/9uQ/9u2//+2///bMpIqGAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAE7ElEQVRoQ+1ZaVvaQBDOota0XtSIvRBKK6GHItSWNMf//12dmb2PBDSo6fOQDxKT7Oy7c+3Mu1G0uzqngXlv2jlMAUB53HGcxZcbgF0mHxBn1l91VKn5MZk7Pc9In/OT204CLZMrxJWdrjjOaP6qkxpNDxFceTGNBM5qdN5BheavUYmEDXDOUbfZXgctz9WZMXEhzi4qNI/JO+kSdgcPrVfo3RHrfXoBtzAhKZwmeBtTNb6OFi+RZlMjuNV+VCZNkcQ9eutXNYvrE02ZkHtyszMmNFWNGlJTMRk2YFxe8kVUE8ZOcfsw7hqXlsX93/Uf5HFQc2m9g6Zsvx5nMWB8JK60GOG9vlsD05RavuMZpxC/oEMdRoacxopkKUPPk5af3Qh/J1cn4fquCadpV1rmAQItk76ydQNOtB2/zsEnru6gTsHtQEWZJw2ECpxkEJpc3zXhdPVFnmeAr1HcnNQ8m+ZvbgWsPD4ZLiGA7mIjL7nSFE7u4GXyaqXvGs2e7n0dMGaUQDDufnCoNvAanHJ5Js6QIzvSHJyIkeNsDEyyM3u7ipZmsMCjQCqSBmZMhD53BxNn0EFsaS1wEiYzSdqS18RRO5zoX9LuOv2F7C/0bWw6ZCmt0JY4HWleHIGviDhaU4LxRKj1KT1fOqiO3cURYwdyo5H5Eysn/klwK3WlaZwUiKQEfdcUSHkMMbNQSVLoVwe8yvNp7zoqRnLnlgtDQ8Anf6E2DSRaTxri5CLsUF8XRqgHCPeDa7mU4iNXZC5+wX2E41B5x9MRhp98CjirERRIeQxJ1FWIL20Cn7F9rKdgZ2JnNJm+a8xMa16aIcZ9iYzcuYpe1XKw8MkZFQ5GIdpGA9sdq0q4MpGGsvPYdqd7vDSju1zG3O6iA328zKcYaYLKeKx0szE2UPH46aQ6ARemJN5iUpLsYrfJs+W4D2UN5OcCaxv47yncaysyf91CUoIUjfVf8WMrIndCnkkDqSp1X4IGaLFIXaJ3567Fcp576H9r9+dW1G4+vht9PzXY43vs9h+umbmsXB8+FBBYrVmNhGoEDb66yguf3gx2RoIDVKxcfhxs7zeCbbdm4SGBosOlNwM4JQdocHEtSFGrNSOYHsEWOjKYr+2NslhwgCYXZxet/kxrVGsxmR7BJhtLchHulwvpnsUYeNv+Cpk6pHCBrhNf6K7a5OJshfpUHja+vTrn0K0ZX45LsAn2AOCuqpSfxkmYRGJ9hkKPvgG6birbZuUIFhfneJA/0zAq+Imad5mtmXjpEGxGt8nxZAAzI2nU4OWnCieBJZdQHKDNxfEDHnU5M1n9tw9VtmbGcJOuc3HiytDOeM3YyU/8FfqEh7w31Rygg9Ph9C3CrflkAqSK1qwGpyTIquUllMmOVcBnkX32cUoO0ObiXI09DKdDbbh0Ha8B0T9DTNcyBlvW4MQlWlycg9OeqUGfRmtmOg3R3jK1C7vTj8PIoWsS0efiFOwOvrK4ONs/HSpPMVa+a+rWzIYp+H16KLCh0ov3xgkivYIAHYA++akF/hG20RygZuWk88qpPCpvzoZR9S14QKZaM4Wzlq6bQfb8k1gOWozBY4FxQ6buiv5gkFHAaw7Q4OLs/OnNhAcQmjf0tbrmyfaOsJ+WRNkaqdBif99IuXa9tNGQ0Edt6qXNJrXrz83GeF+1qj8fOeduGGjgH11pvrwlsY0EAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
= 74%
Thus, hexagonal close- packed lattice has the highest packing efficiency of 74%.
Question 5.An element with molar mass 2.7×10-2 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its density is 2.7×103 kg m-3, what is the nature of the cubic unit cell?
Answer:Given information:-
Molar mass of the element = 2.7×10-2 kg mol-1
Edge length, a = 405 pm
Density, d = 2.7×103 kg m-3
Using the formula, d ![](data:image/png;base64,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)
Putting the values given at their appropriate place, we get
![](data:image/png;base64,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)
= 3.99 which is approximately equal to 4
Therefore, it is an fcc unit cell.
What is the two dimensional coordination number of a molecule in square close-packed layer?
Answer:
In a two dimensional square closed packed layer, a molecule touches four neighbour atoms. Therefore, 4 is the two dimensional coordinate number of a molecule in square closed packing.
Explanation-In two dimensional square close-packed layer each sphere is in contact with four of its neighbours hence its coordination number is four.
Question 2.
A compound forms hexagonal close-packed structure. What is the total number of voids in 0.5 mol of it? How many of these are tetrahedral voids?
Answer:
Number of atoms in close packing = 0.5 mol
1 mol has 6.022x1023 particles
So that
Number of close- packed particles = 0.5 × 6.022 × 1023 = 3.011 × 1023
Number of tetrahedral voids = 2 × number of atoms in close packing plug the value we get
Number of tetrahedral voids = 2 × 3.011 × 10 23 = 6.022 × 10 23
Number of octahedral = number of atoms in close packing
So that
Number of octahedral voids = 3.011 × 10 23
Total number of voids = tetrahedral voids + octahedral voids
= 6.022 × 10 23 + 3.011 × 10 23
= 9.03 × 10 23
Question 3.
A compound is formed by two elements M and N. The element N forms ccp and atoms of M occupy 1/3rd of tetrahedral voids. What is the formula of the compound?
Answer:
The formula can be determined by using the following method
Let the number of atoms of the element N = n
Number of tetravalent voids = 2n
It is given that the atoms of element M occupy 1/3 of the tetrahedral voids.
So that the number of atoms of M = (1/3) × 2n
Ratio of the number of atoms of M and N
M:N =2n/3:n
Multiplying the 3 and divide by n we get
M:N = 2:3
Hence, the formula of the compound is M2N3 .
Question 4.
Which of the following lattices has the highest packing efficiency
(i) simple cubic
(ii) body-centred cubic and
(iii) Hexagonal close-packed lattice?
Answer:
(i)
In a simple cubic lattice the atoms are located only at the corners of the cube.
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The relation between radius and edge a
Can be given as a = 2r
The volume of the cubic unit cell = side3 = a3
= (2r3)
= 8r3
Number of atoms in unit cell
The volume of the occupied space
And we know that, the packing efficiency
= 52.36%
(ii)
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The diagonal of a cube is always a
The relation between radius and the edge will be = 4r
Divide by root 3 we get A
Total number of atoms in body centred cubic
Number of atoms at the corner
Number of atoms at the centre = 1
Total number of atoms = 2
The volume of the cubic unit cell = side3
= a3
= (4r/a√3)3
The volume of the occupied space
Packing efficiency
= 68%
(iii) Let the base of the hexagon is a and the height is c
Each angle in hexagonal will be 60 degree at the base
Packing efficiency of
Hexagonal close- packed lattice
a = 2r c = 1.633a
= 74%
Thus, hexagonal close- packed lattice has the highest packing efficiency of 74%.
Question 5.
An element with molar mass 2.7×10-2 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its density is 2.7×103 kg m-3, what is the nature of the cubic unit cell?
Answer:
Given information:-
Molar mass of the element = 2.7×10-2 kg mol-1
Edge length, a = 405 pm
Density, d = 2.7×103 kg m-3
Using the formula, d
Putting the values given at their appropriate place, we get
= 3.99 which is approximately equal to 4
Therefore, it is an fcc unit cell.
Intext Questions Pg-29
Question 1.What type of defect can arise when a solid is heated? Which physical property is affected by it and in what way?
Answer:When a solid is heated, vacancy defect is produced in the crystal. On heating, some ions or atoms leave the lattice site completely, which means the lattice site becomes empty or vacant. As a result of this defect, density of the substance decreases. Thus density is the physical property that is effected by the vacancy defect.
Question 2.What type of stoichiometric defect is shown by?
(i) ZnS (ii) AgBr
Answer:i) ZnS shows Frankel defect
Explanation: Frankel defect arises when an atom or smaller ion leaves its place in the lattice, creating a vacancy and becomes an interstitial by lodging in a nearby location. This occurs in ZnS due to the comparatively smaller size of Zn2+ .
ii) AgBr shows frankel as well as schottky defect.
Explanation: AgBr shows both types of defects, i.e. schottky and Frenkel Defects. Since, Schottky Defects arises because of mission of constituent particles, thus it decreases the density of ionic compound.
Question 3.Explain how vacancies are introduced in an ionic solid when a cation of higher valence is added as an impurity in it.
Answer:To explain this, let us take an example of NaCl doped with SrCl, impurity when SrCl2 is added to NaCl solid as an impurity, two Na+ ions will then be replaced and one of their site will be occupied by Sr2- while the other will remain vacant. Thus, we can say that when a cation of higher valance is added as an impurity to an ionic soil, two or more cations of lower valency are replaced by a cation of higher valence to maintain electrical neutrality. Hence, some cationic vacancies are created.
Question 4.Ionic solids, which have anionic vacancies due to metal excess defect, develop colour. Explain with the help of a suitable example.
Answer:To explain this, let us take an example of NaCl. When NaCl crystal is heated in presence of Na vapour, some Cl- ions leave their lattice sites to combine with Na to form Na+ (Na+ + Cl-⇒ NaCl) then diffuse into the crystal to occupy the anion vacancies. These sites are called as the F- centres. These electrons absorb energy from the visible light, get excited to higher energy level and when they fall back to the ground state they impart yellow colour to the NaCl crystal.
Question 5.A group 14 element is to be converted into n-type semiconductor by doping it with a suitable impurity. To which group should this impurity belong?
Answer:Silicon and germanium both have valance electrons and they belong to group 14th of the periodic table. Arsenic and phosphorus belong to group 15th of the periodic table and they have valence electrons equal to 5. When silicon or germanium is adopted with phosphorus or arsenic, four electrons of phosphorus or arsenic out of five; make covalent bonds with four electrons of silicon or germanium leaving one electron free; which increases the electrical conductivity of silicon or germanium. Since the electrical conductivity of silicon and phosphorus is increased because of negatively charged particles (electron), thus this is known as n – type semiconductor.
Question 6.What type of substances would make better permanent magnets, ferromagnetic or ferrimagnetic ? Justify your answer.
Answer:Metal ions of ferromagnetic substances are randomly oriented in normal condition and substances do not act as a magnet. But when metal ions are grouped together in small regions, called as domains, each domain acts as a tiny magnet and it produces a strong magnetic field. In such condition ferromagnetic substances act like a magnet. When the ordering of the domain in group persists even after removal of the magnetic field a ferromagnetic substance becomes a permanent magnet. While domains are grouped in parallel and anti – parallel direction but in unequal number in ferromagnetic compounds. Thus, ferromagnetic substances, such as Ni, Co, Fe would make better permanent magnets rather than ferromagnetic substances.
What type of defect can arise when a solid is heated? Which physical property is affected by it and in what way?
Answer:
When a solid is heated, vacancy defect is produced in the crystal. On heating, some ions or atoms leave the lattice site completely, which means the lattice site becomes empty or vacant. As a result of this defect, density of the substance decreases. Thus density is the physical property that is effected by the vacancy defect.
Question 2.
What type of stoichiometric defect is shown by?
(i) ZnS (ii) AgBr
Answer:
i) ZnS shows Frankel defect
Explanation: Frankel defect arises when an atom or smaller ion leaves its place in the lattice, creating a vacancy and becomes an interstitial by lodging in a nearby location. This occurs in ZnS due to the comparatively smaller size of Zn2+ .
ii) AgBr shows frankel as well as schottky defect.
Explanation: AgBr shows both types of defects, i.e. schottky and Frenkel Defects. Since, Schottky Defects arises because of mission of constituent particles, thus it decreases the density of ionic compound.
Question 3.
Explain how vacancies are introduced in an ionic solid when a cation of higher valence is added as an impurity in it.
Answer:
To explain this, let us take an example of NaCl doped with SrCl, impurity when SrCl2 is added to NaCl solid as an impurity, two Na+ ions will then be replaced and one of their site will be occupied by Sr2- while the other will remain vacant. Thus, we can say that when a cation of higher valance is added as an impurity to an ionic soil, two or more cations of lower valency are replaced by a cation of higher valence to maintain electrical neutrality. Hence, some cationic vacancies are created.
Question 4.
Ionic solids, which have anionic vacancies due to metal excess defect, develop colour. Explain with the help of a suitable example.
Answer:
To explain this, let us take an example of NaCl. When NaCl crystal is heated in presence of Na vapour, some Cl- ions leave their lattice sites to combine with Na to form Na+ (Na+ + Cl-⇒ NaCl) then diffuse into the crystal to occupy the anion vacancies. These sites are called as the F- centres. These electrons absorb energy from the visible light, get excited to higher energy level and when they fall back to the ground state they impart yellow colour to the NaCl crystal.
Question 5.
A group 14 element is to be converted into n-type semiconductor by doping it with a suitable impurity. To which group should this impurity belong?
Answer:
Silicon and germanium both have valance electrons and they belong to group 14th of the periodic table. Arsenic and phosphorus belong to group 15th of the periodic table and they have valence electrons equal to 5. When silicon or germanium is adopted with phosphorus or arsenic, four electrons of phosphorus or arsenic out of five; make covalent bonds with four electrons of silicon or germanium leaving one electron free; which increases the electrical conductivity of silicon or germanium. Since the electrical conductivity of silicon and phosphorus is increased because of negatively charged particles (electron), thus this is known as n – type semiconductor.
Question 6.
What type of substances would make better permanent magnets, ferromagnetic or ferrimagnetic ? Justify your answer.
Answer:
Metal ions of ferromagnetic substances are randomly oriented in normal condition and substances do not act as a magnet. But when metal ions are grouped together in small regions, called as domains, each domain acts as a tiny magnet and it produces a strong magnetic field. In such condition ferromagnetic substances act like a magnet. When the ordering of the domain in group persists even after removal of the magnetic field a ferromagnetic substance becomes a permanent magnet. While domains are grouped in parallel and anti – parallel direction but in unequal number in ferromagnetic compounds. Thus, ferromagnetic substances, such as Ni, Co, Fe would make better permanent magnets rather than ferromagnetic substances.
Exercises
Question 1.Define the term 'amorphous'. Give a few examples of amorphous solids.
Answer:Solids having constituent particles with irregular with shapes and short range order are called amorphous solids. Amorphous solids are isotropic in nature and melt over a range of temperature. Thus, amorphous solids are also referred as pseudo solids or super cooled liquids. They do not do not have definite heat of fusion. These solids give irregular surfaces, cut with sharp tool. Glass, rubber, etc. are some examples of amorphous solid.
Question 2.What makes a glass different from a solid such as quartz? Under what conditions quartz could be converted into glass?
Answer:It is the arrangement of constituent particles of glass which makes it different from quartz. The constituent particles of glass have short range order while quartz has constituent particles in long range order both by heating and cooling rapidly can be converted into glass.
Question 3.Classify each of the following solids as ionic, metallic, molecular, network (covalent) or amorphous.
(i) Tetra phosphorus decoxide (P4O10) (vii) Graphite
(ii) Ammonium phosphate (NH4)3PO4 (viii) Brass
(iii) SiC (ix) Rb
(iv) I2 (x) LiBr
(v) P4 (xi) Si
(vi) Plastic
Answer:(i) Tetra phosphorous decoxide (P4O10): molecular
Explanation: Molecular solids are made up on molecules or inert gases.
(ii) Ammonium phosphate (NH4)3PO4: Ionic
Explanation: Ionic solids are those in which constituents particles are cations and anions which are held together by coulombic force of interactions
e.g.- K2SO4⇒ 2K+ + SO4—
(iii) SiC: Covalent (network)
Explanation: In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
(iv) I2 :molecular
Explanation: Molecular solids are made up on molecules or inert gases.
(v) P4: Molecular
Explanation: Molecular solids are made up on molecules or inert gases.
(vi) Plastic: Amorphous
Explanation: Amorphous solids are not true solids, in these solids the constituent particles (atoms, ions or molecules) have short range order of arrangement.
(vii) Graphite: Covalent (network)
Explanation: In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
(viii) Brass: Metallic
Explanation: Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
(ix) Rb: Metallic
Explanation: Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
(x) LiBr: Metallic
Explanation: Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
(x) Si : Covalent (network)
Explanation: In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
Question 4.What is meant by the term 'coordination number'?
Answer:Coordination number is the number of nearest neighbours of any constituent particles present in the crystal lattice.
Question 5.What is the coordination number of atoms:
(a) in a cubic close-packed structure?
(b) in a body-centred cubic structure?
Answer:(a) In a cubic close- packed structure is 12.
(b) In a body- centered cubic structure is 8.
Question 6.How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.
Answer:The atomic mass of an unknown metal can be determined by knowing its density and the dimension of unit cell.
Let ‘a’ be the edge length of a unit cell of a crystal.
‘d’ is the density of the metal
‘m’ is the atomic mass of the metal.
‘z’ is the number of atoms in the unit cell.
Now, the density of the unit cell ![](data:image/png;base64,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)
As we know that, mass of the unit cell = Number of atoms in the unit cell × atomic mass
And the volume of the unit cell = (Edge length of the cubic unit cell)3
Therefore, d
--------- (i)
---------------- (ii)
Now, since mass of the metal (m)
![](data:image/png;base64,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)
Therefore, from equation (ii) we have
![](data:image/png;base64,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)
--------------- (iii)
If the edge lengths are different (say a, b and c), therefore, equation (iii) can be written as
----------- (iv)
Thus, using equation (iii) and the atomic mass of an unknown metal can be determined.
Question 7.'Stability of a crystal is reflected in the magnitude of its melting points'. Comment. Collect melting points of solid water, ethyl alcohol, diethyl ether and methane from a data book. What can you say about the intermolecular forces between these molecules?
Answer:The melting points of the given substance are as follows:
Solid water – 273 K
Ethyl alcohol – 158.8 K
Diethyl ether – 156.85 K
Methane – 89.34 K
As we can see the melting point of solid water is highest and melting point of methane is lowest among the given substance. This says that intermolecular force in solid water is strongest and the intermolecular force in methane is weakest.
Question 8.How will you distinguish between the following pairs of terms:
Hexagonal close-packing and cubic close-packing?
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAMaCAYAAABeQpXDAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4XuydC7xu1bj/85eKUkkhiSWlKAohREtFHeV6XIpoo6MQEjm5tiUKuSbquBTlFEWdTiGh3T10VxTRK1GHOJ3Ukcvh//uuPZ/ds0dzvnO+a73vuv6ez+e35rhffmOO8YzLfMdaYQWLGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA7ONgbt1KNA/OoRxEDNgBsyAGTADZmB5Brro2L6cWQH3pceeZmBGGXD/nFH6nbkZaGSgtW/+v8ao9jADZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MiodcJmwAyYATNgBpoZsAJu5sY+ZsAMmAEzYAZGxoAV8MioHWrC+yi1fyQcNITUtyjSPHcIaTqJhcfAbsV7dEQHCnh/bxXe3SHsMIPcUpR1xWEmPg/SmsyYMFNtOQ/o7lYFBv5+srU8s3IIcwzon2rw37tfova7CwPjicdhKODIoGyvu2Rsh1nNQFv/zIV/hCyfFq4Wbhf+LPxcOE54qXAvYTKymSLFe9RFAd9Rhf/vyWQ2xThLUlmtgOvJHGRMmMm2rC/97HFt7ZvDWAGjaO8mfDfV+xkyo5gRFO26ye/3MhMexWwxA2Zgehh4nbK5XHitcLaA0lxTeInwAOHLwnT1yVOUF/Kf1dOPucuA23IKbecZ4BTIc1QzMEcYeI7KiXJl4nuG8JpU7otkfrbwI2EYE/KUdKMRpf9m4TeNIewxVxhwW06hpaarw7UVcWcFOEvgXOg24VLhFSnS8TKX29ysrE9M7h+vwh+s52XCr4Q/CTcKJwibVv7xYDDaT2ALjq044rxQyPlcmeI8WObPCaT7v8LNwn8IT0xhyrPa98vvfcJNAnU7TXhgCn8/mY8SfiYwGLGdQ3k+IayVwk3GuIYiHVqlR/1uEC4UKA/5tkmX+pLGY4VvCexssK1JXcnnEDyTtLVxEdzWITLwQaXF+44cWZMufY6tad7pBwm5D7BdjZRnvfS/OrmHHEmL89Y/CqxyN0oBcf+7wPvIMy8CpvLOUr/XC4wd9M/fCUwqKAtnm21yTwV4r/BjAT7or+cJbM1nWUcW+uyvBfrrbwXGiS8I908BGW8YdygH5aFfc3S0cgpTZ2SMyfzvK/vpAmPZfwnUZ7UUkfGHceiXQvRBOCDe3VM4jFPht6f4US76ONLUlrjnOjBGwCV1+IWQJ4CkM+hYTJwFIxDZRb6jQEH69kUEtrjCj06eZY/k9wSZUVC8tIRnlhySwzGLR+4jXCc8MgLpSeO/vLLzsjPgkBbnTXkrnM4WZWJ1wCqAlyTcqM9jBGRDIcp0mMwMMrsLhP2rgHJBKPsbhEiDTopSZpaIcsL9ZCGEgYHyblY50Ll/KBDuAiEGTbzHK3f86Mj9ZFV5XlGFZ8LwKIG0XiAw6OX2ibKemxLsWt97Kw4DEGn8q8CEDs4pH/UK6drGKYqNHRmA+36C8os25vnQfoGTH/2U8KGA8dolpZUVMO9v5MF7/gHhlcIfKncmwWsLIUsqd+KsWDkO8s6mpJYZP1+lSX98vsC7yLhA3rm/LKnC5bxXkRuTRtx+IPBeUycmELjlySSTTdxOEjgzp1+xw/AXgf6MbC6gxAnHJJ8+cWZlR1n2ExT34VVY4jMxp/+8U/i/yj3GP9JhfGHMiAk7ef9PFS6XexB+yRfkMWFP2b8vMOZmWSJLhI+23EpuTALC/Wsy7ySckNxibCWtQcZiws8Vof5Tlq6JZAXMy8jsMCMaIytgXvzopMwQQ74iA+HpAHSGEF68SIeX8iiBFzPLhoWdGWLECYVOmqEQyT92AlCkEfb4lA6dLdw3qdzpeCgZ3FFyMdscT2FPrcLyCH7gJBQrHXP9FAYjiizyyi/peHLPA0oRfcL61hR2/yLAd2XfPrlFXrmzda3vU1M+nDGGrCQDbYMM2sbLErGhEwO0Xz95pjyjjXnm/tQv3mQV8EUp0QNS3u9O7kuSewzag7yzZbm3TOmhILOQb+4vS1LYyPtNyW2vFBllCWdMWvmAjT7O2IbbcZVdjwl5vzBWmb+pZ3Ae/Zuz93Abr8I1PZjcRFh2L0LyGEvfQ1CI910WYqkh8mfREWPNIPxG3jEmUJ7zhTWKfLAuESJ88Fm60z7I1insOyq3QcfiKtqceMBLXxnVFjSzJWaDgTzg5wLRMDGjyor5d1Wg1fSMFw2nfxGYWSKfEJjt5RcU9/sJKD6UIsqOD05C2FZF2BJh9opcJ9DBELaCS4GjHZPjDZUZclnhIg8SHl2Z8+OaZIkVIUp37cqdreGnCxcIrCSx58EiypuS6WTcIYX6SRHjWbKf2SeVQeob7URyzNrhj+eTBVZAyKBtXEXzY44ykN+3/P4z+PaTqbyz/eIerEwP7Jex/OgTIdG/sYcZJcYY8H8CE3ZkF+EmAUWMmVVcT0BJbyuExLiW+0rOLwWtNWYOf5pCBJ+MGa8XrhT+R2DMY9KFrCmsXpn7cdRvTGCFza7fWQLpT0aiDjEGksZ6VUKDjMWTyXtWxxmVAkb5XZ1wbQMLoYjwfrzAywM4I+BlBw/Fs5KeniheBAWKIvlbZefxSIFZItsdFwqkzwo4hK1jJJQ+ZvILYVVcCjM0VnEhvPB15nWSexj/VOOGU6yWF8n8RWErgYkEEw62rEKivMmpkzHzyvlTFsoPr00ySH1pYwa4mOltKPPrBNqFVTQD16Bt3FQuu0+OASaYWXJ7TC7F/rFyH8rvXmyRNsWeyjvbLy7jA6vWfsKkPaStf7OSZWcOIV+UL0r4SoF06D/sAIWwCmWM+bIQY9pY8m8zZg7zWBV8ciaM8ueoYWeBsYpz95AYQ/px1DQmoBzfVyX0Nj2fltIdxFg3DsYYOMhYPEiecyLsqBRw18r/PgW8VGZeHsALzHYGYEUVgoLaVWC1iLxRYJUd8lwZ7llZUNS3Jb9sjFksbhEeM+mXQmfLL/7KKUA25xV8mUaTnbogDBAfFzi/GobksjBRGUQGrS9bSazU3yB8Q4jdhOfJPC4M2saDlNVh2xlgVyJWIIR+TEOUPeT+luRXN0nL73tDMst9ZJQnkLnP1cWdyjs7lbiUJa9O2/o3E0tWby8VjhFCGaMAWYliz/2YiTljGunGmPZimbtK7r95IRBHZ5HWOUoQNMlkOPqNEttEYEGFrjhWYFU9TBlkLB5mvrMirZlWwBeLhVsrJh6iZ8yKcMJ+gZBnp6y2/kPYvYrDC32UwBPJCjRmvbEFUwWZeFwixMxyA5kjX162UlAopyfH9Sszq7vYRmEr+vIyYgd7lDdmxkSpK2+HpJYL8u1k4+wqy4WyhOKvS3eQ+m6pBL4m3CB8SmDnIQ/iDD6DtnFdmew2NQb2T9HZXSrlAXL4pJDP+G6sAq2aAnc5EuE4JiSbz03udcapvLP94n5UmR1Wl2FyY+IYEv0be5SfHR7OVRF2fVhVHye8QsirQt53+vLZBKzkYcmM8TRhh8Ktn/XhyTOb4ZMJTkwY8iq/bgzpx1HTmHCT0mds201gXICbI1N5hmEcZCweRn5zLo3YXmwrOFu/hAXbF4Hp4OFXrhTfmPzYfkUZMhAw0zwxpfNkmZnNx4zwaJkjzXdV4TjLCLePyEw6X0luKIkQtm0i7FEyo5QuSm7Hp7C8+KzkCM9ARRl5KbHTGVl5h4xX7vgdlNypS+QHH8iHktvzZabD08Ej3AuXBpv4O57cc7opyDIjg+YVVfjr9aT8TBjYHmY2m2exkVceILvWd2ulRcd8lcBkjokQOxakye7DugLStY2r4H4MwABcdxHagJUZ4RlExwRWVBzR8N4zUbq3EHKIDIRFobAVyVHQVZUb7ntHQD03S+5MbHkvaHsmpYRFmect0CUpPO8MMsg7W0VZ7vH5Kk3quLPA+07d/iA8KYVcUoWjXJE3u2A/qNy/r+dqAhNXVrOE+7AQQn//jBATE1bChAHPrgI9QU+2XXH7ehWWMeMdwnVC5rmKstwDbiNNFOCrq7i0Be5npNBR7v+WG4sJuGfHLuIH74PwG3HzmMCYE+6LUv5LknvwiXede35PjkhpDDIWp2iz3ghfU5a2RGjwaJj8jMZD6dX55w6MojlPYNCmw/xYOFBggEC+I0QaJ8u8W7KH+81VWBqTmRsDwXeF3YuwUS466NuE6wRmjyisl6SwWQHLeWLA+oJwg3C7gEL+TyF3bj5YKOvKQHZijfuOcosJwv/ITL2/KLyvCMuLX5fuqXLvJ6vLEwXPpOXPAoqYwSBm0Wzdl2WF/5AxGdrqSxgmONcIvxPgnCdlYxDK0tbGRXBbOzJAG3aVTRWQgY/2oq1QMD8S3iPk1S/poSR4H3nPCce7U76Hn5Nb2RdZGfK+8y4B3oW8crtF9vK921JuSNs7WwWrfdCfmWAykaBuvxUYU/Jqs1/e91JY+h4TYMpNnS8QXi5k+TdZLhFIn37LDt75wsuWC7V00sJYBX+Uh35If3pwEa7OmhXwWxWA8Q+lSp4o/6zAHyk79UTh08cPEBiXMsfby4608Vs3JlymeBsW6ZH20UITn03uZbtfOFGqpZOlQcbiKtqsfwzSNxsrM5REGlOfXR4bqTjxktBZLGZgtjOwkPrnbG+LYZUvK+BdhpXoHEtnPozFrX2TbcOFKu9XxZnRZ9k4WWJ2tlD5cb3NgBkwA9PBgMfiPiy3avE+cWez16EqHFs2bMshDxV+KFDfi4T4uGGpr/+agdnJwHztn7OT7ekp1UJbAc/XsXgofXMoiUzPeztQLpzB8kXirwXOcThD4TzsAIHzIIsZmAsMzNf+ORe4H0UZOVenTTOOHkVGsyjN+ToWD6VvDiWRWdTYLooZmE8MuH/Op9Z0XeYTA619cyGfAc+nhnZdzIAZMANmYI4xYAU8xxrMxTUDZsAMmIH5wcBcV8Dl79biN75NrXMPeZwu8Nu8QW6jaUrP7mbADJgBM2AGRsZA6z72yHLunnB8sNCmgLdSkhGWm7YsZmCuMzAX+udc59jlNwOTYaC1b871FfCgpHCV3i8EiOGGHosZMANmwAyYgVnLQKsWnwUl77oCpqgrCfefBWV2EczAMBiYC/1zGPV0GmZgrjHQ2jeHsQIuf7e2r1jinJXf1f6X8GlhtcQcd6ueLfBPAfj9LZeInyk8J4UJI/fT8iPtnwvcZ8w9zNxQxZ2t94tADc+e3EMx3yRznBeTDvbYrq47R36x/Lkvlzpw7yv/CCIL987yjyOiXNyXyl3HkR/PK5ePYpsZMANmwAyYgcEYaNPi3CQV/wGHsL8R9hDeKdT9946T5c6F4qxEkUUC8fivOv+01Gnib/7vHSjrRwkovhcIhI0Lxgkbii+fAe8pd/6zyX0IkKQMSz75H0rcLDuTBsryY4Hw/DcX/mNKyHsrd/w+JTxb4EL0SJvL05v+7+qyRGwwA0NgoK1/DiELJ2EGzMAkGBhK3+ySSL467YOpoCiiUEpPrdzX0zMrM5z5byGE43/9hvBfQCLu/skdI//lqJ8Cpjz8h5LyP7wQN9IsP9gKd1bkfC2NvCuFj1Uw/4mE/4ZE+D8IsYuwcwp7PJEtZmAaGOjSP6ehGM7CDJiBgoHWvjmMLeiSdbZuQ36azKwykRWFw4RrBRQv/2YrFHL+V135Z0I/mYh5pzxLxjMLt7DyDxZI/yyBfxc2qPCRFv9TFOHfaoUwcUD436hxVeV1MrMaR/h3YxYzYAbMgBkwA50YGIUCRqmGoFxD1pJhFYHzYf7BNNvTm1RuoShj5UmctflTSU4TJ85xiV8KypHzYeRtwtPKAB3snPvWyd0rx7ylnevHqthiBsyAGTADZqATA6NQwPkfGaBwQ9iu5Vw0/uXfMTJf36eUnMWGdP3nCJw/o9Q5M6Zuxwpr3pnMUEzUIyRvpecPzYaSkRMxA2bADJiB+cvAKBTwwxNd2cyZa1ZSf6nCsbKsU7DfTuk8omgCvoTetaZZ+LqZ/260m8DW8PrCkTXhpuLEV9GxIt9A5lgZo/gtZsAMmAEzYAaGxkDrQbJyyh9hoQDZYn6HUH4FvY7c4gMmFDKrU362hLIkn/zTnfwVNCtllDlfQb9OYIWbV7bxAVX+sOqgKk38FgkhdWHxq3PP9dolpZG/gj5K7kwGLkpp+COsRJaNI2WgS/8caQGcuBkwA7UMDKVvdkkkKyq+XubrZ85HfyvwkyO+HA55vgx8nMU5Lv9/l9/P8rFTKECefKiFrC58SOADJ8KjiL8uxMp6C5lzPMyXCRvWuJ9S43ab3OrSYIWd6xR5HCJ3hIkAZ8zXCazkrxBeIkQ4K2BYskwHA13653SUw3mYATOwPAND6ZtdEmlaKS6kBtlIlQ0F/IWFVHHXdUYZ6NI/Z7SAztwMLFAGWvvmKM6AFwLX71cl9ykqGh+X4cwK2mIGzIAZMANmoJEBK+BGavp6rCxfzq65BQx5qHBAZb5Yzy9WZj/MgBkwA2bADEyagbZl9OeUcmy9xvPoSec2NyLuqGKeJvDB2a0Cvx3mPBslXPdF99yolUs5Fxlo659zsU4usxmYDwwMpW8OJZH5wKbrYAZmIQPun7OwUVwkMyAGWvumt6D9npgBM2AGzIAZmAEGrIBngHRnaQbMgBkwA2bACtjvgBkwA2bADJiBGWDACngGSHeWZsAMmAEzYAasgP0OmAEzYAbMgBmYAQasgGeAdGdpBsyAGTADZsAK2O+AGTADZsAMmIEZYMAKeAZId5ZmwAyYATNgBqyA/Q6YATNgBsyAGZgBBqyAZ4B0Z2kGzIAZMANmwArY74AZMANmwAyYgRlgwAp4Bkh3lmbADJgBM2AGrID9DpgBM2AGzIAZmAEGrIBngHRnaQbMgBkwA2bACtjvgBkwA2bADJiBGWDACngGSHeWZsAMmAEzYAasgP0OmAEzYAbMgBmYAQasgGeAdGdpBsyAGTADZsAK2O+AGTADZsAMmIEZYMAKeAZId5ZmwAyYATNgBqyA/Q6YATNgBsyAGZgBBqyAZ4B0Z2kGzIAZMANmwArY74AZMANmwAyYgRlgwAp4Bkh3lmbADJgBM2AGrID9DpgBM2AGzIAZmAEGrIBngHRnaQbMgBkwA2bACtjvgBkwA2bADJiBGWDACngGSHeWZsAMmAEzYAasgP0OmAEzYAbMgBmYAQasgGeAdGdpBsyAGTADZsAK2O+AGTADZsAMmIEZYMAKeAZId5ZmwAyYATNgBqyA/Q6YATNgBsyAGZgBBqyAZ4B0Z2kGzIAZMANm4G4dKPhHhzAOYgbMgBkwA2bADCzPQBcd25czK+C+9NjTDMwoA+6fM0q/MzcDjQy09k1vQTdyZw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxYATdSYw8zYAbMgBkwA6NjwAp4dNw6ZTNgBsyAGTADjQxMtwL+oUryP8JNjSWaPR6HqSj/JfxD2GT2FGvkJXmDcvixcIVwlbDdyHO8awZ3l1NPuE246K7e0+bylKocf9Pz0GnLdeYycv+cOe675uz+eSdTC6J/ooD6yZXyZIAK/J/MxCndDqkS4TkXFDDF3bGqy0JRwLzQtN3mVVu9T8+9KvNMPI5VpjOpgKPON8gwWxWw++fCmSC7f9aPQrO1f7b1zRWGtQJGQa1Y4S0VR9ntTfW82XWWMfBUlYcdisurcr1Xz8/NsjK6OIMz4P45OGezMYb752xslSmUCaU5VfmFEvhLSyL/Lf+VWsLYe+YZWFNFuCMVg10My9xmwP1zbrdfLr375/xpy4maDGMF/Bylc30LL1+W/0eLMGxzsr3IOd85wkaF/91kZzV9jXC18FPh7QLubfJ6BbhMuFTgLPMo4VECZ4tsV9wukPfuAun+SSDsuFAnvPgnC8SjLDvVBNpYbqcIPeE64ZvCpikc2+5sSfCkLOcLf67cNqvCtaVBsG2F84RLBOp2qrBzFb/f4xnyvEC4VqC92N59YIpAeq8T1hHgCDw++WdjrgvteLFAO54m3Fd4TOX2Rz2/IdxPKOWNcviJQPv+XPiA0GWStrrCfVroCbQd5eYdLCXX90fy/K7wqirQu/T8nUB7bFG57aDnryu3RZVbv8co26pfvoP6uX8uZaytvdw/l3+z3D8H7WkjCt+6j13ku4/sxNmwoTyHyP0PwleFJwlPE5ilM0Bm+aAstwoxQNKBGDQZqPsJyogV9wOqQKvpebawf4qE8kE5nCCsJaBgmSSgiB+awu0oM3X5tvA8gbKgUEj/3incg2S+WUDRM6lhkvDJym3dKtz6en5GoO4oKhTpkwXqhALuksb9FY5JAOVCyOtQ4VuVvenxT/JgNfvyKgCK7iQBxbdGikTbMBC1Sa7LvyvwEwTygBfa9evCVgLlpL5HClloQ9wfXTkyEUCZfm35YBOTBCZKIUygmHxcJtyncvxnPf9PCE5wjvq+ogpDe3CenVf347JnBUxQ3gPcFmFJwmQEnkNG2VbLZdzB4v7p/lm+Ju6f7ePxZMfSkut+9kH7Zm1agybSRQGTJkon5G0y/FVAoSAoLeyfqOzxOEgGlCQDZZMQhhUeg3XI1jJsl+wM7H8RWO2FoIgZoI9IbqGA905uKBvKz8Qh5HAZKG9ODwX9vwJKLQQzcbdMbqymybtLGttX8R+e4jPR2DPZ64x8KPfDwuNhVVrvTO5dFTBRoi6PTPE/X6X52OT2WZlRriHRth9ObhhZncINH5qElAr4RVWY56cwGM8VLkxu1DcrbrxWFm5MYcZlJr+Y4OHVVQGPsq1SETsZ3T9XWMH9866vivtn//F4smPpXZludmntm6HwmpMYjQ+KjkEyhK2/FQW2L5FtKjvbtFnYJl5FyIN0EWRiO5sVCnFZATGoMkCXK+xfyo3VZwgrsqsFVuWlZOVFWRFmUCEod7Z2c3qssFlhZsVPeLads3JgNUzeXdLg4yg+kqIu+wkPEW4SyhWmnJYJCnpToVTAlO33Ai/iZIXJ0I9T5N/IzGqUFWrIDTJkrqJty/L8oIrQrzzBZd17wcSISU9TfeE9diPuLN3kTKNqq8mVZvix3D/v5NT9cykX7p/D72dDOQOeTLFQIlkYtJG7V8+1qycr4F4CduLer/Kve5wux2cKtwhHCfyW9xghlHvEKcuAO4own4vWhS3LShjKy9Z1rwAD/uqRSPWkXHXSJQ0UPIoGBXyA0BPOEjiHbZLgku3hUqhv+Jd+XewcEWSBm9uEvydH3KJdcW4qD2XJ/imJZcaI+3259BJYGVMWlG+EifTq0pmq26jaaqrlGlb8sm+U73xw7P65dFIXfdz9c+kb6P7ZsSey6pyNcnNVqNfoecokCvgdxQHrCWzP7i+sKrwgpZXPPsMZJc0qblChvGx7563XUaXBdu4igW23lwgHCUw6HiywrV5KcMk2dym48YHSdEpTeaJ84V9XpvB7tDxL5R/hUcLIfeoSSG6hVPJHfau1xAnvru09aFt1zH7Gg0U7uH/etSkGbQvt8pYAACAASURBVPOm/kDK7p/Lf3Q77/rnTG1B3/W1Xd5liaycqTLQZrmHLHwsVbdKjXB7ybBVZWG7+D3C8QJfHmdBYeVVMS/7xsIFRbgu1jMU6GHCvYrArMw4E+8iXdJg6/1fqsRYaX5eeKfAFu86DZmwRX2V8PjCfwPZqT8TlekUVux8EFaWJ+z9ygNHSPlecA79b5Vf1HfLyh4PJmC0bfD028ojVnNY83l2EX0566jaql+es8lviQrj/rm0RXIfd/9cyon7Z8feOlsVMIMoX0HvLWxW1YXV+vsFVjj9VqmEZ8V7zyoe20N8aMO2bRa2ZA8VWAkT5pMCh+bkO6gcrAich/LhQ2y3biLzR4R8Htov3S5psKX9DiEmIORFp79GiLPpujz2kyMcxFfBTGQ+JFwnfKouwgjdblTaHxb46Cq2zqkXbfZ14bw+eZ8sPxQ4XMUKd02ZDxN+leJRX3YjXla58Z4fKPDesE2I/FyAs90EVsGcH79ywqddRtlW7bnPfAj3z6VtUPZx90/3z6H3ztYvuVKOl8j8B4E4fHzzsaI0bJVyvsT2X09g1YhSZVAkDoPoC4UQFPBPKlyuJ8qibus4RZlY/X5VYNWH8uMjoY8KeXV6rOwXCTsLVwp8rUzYcSHkvTJwfky5GKgZzJ8tUEbcKDMKPIS68DMa/OHhHOFZd3pPbBPnupN+KW1p8HEZHFBmyksdTxBYzbYJ5+KsAFE81wtfFtZLkX4ocy4fuwZNUtaFchP+FoHz357AahKemeiEW+xMyGmFNwlXC0wefiGg1FbCQ3J3oSfcJvy5MpMHsprw8crtCj3hel8hbyUTLurLx3G8O58WULJZtpGFLXgUypkC5+u07c0CZWdy0xNYscMNHIWMsq1SNq1G90/3z/Ilcf9cqlv6jcdTGUtLvpvsg/TNpjQmBqT5JqGA51u9XJ+Fx4D758Jrc9d4bjDQ2jdn6xb03KDXpTQDZsAMmAEzMEkGrIAnSZyjmQEzYAbMgBkYNQOty+hRF2CI6XO2yNn07QI/2cEcZ4tDzMZJmYFpY8D9c9qodkZmYCAGhtI3h5LIQMV2YDNgBroy4P7ZlSmHMwPTy0Br3/QW9PQ2iHMzA2bADJgBMzDBwEwo4DcoX34axE9I+BnNdm6LgRnIP4/JP4UaOCFHMAOzlAF+JtIT7hBOnKVldLGWZ4DjPNqMnw72+xnjqHiLn1Lys8J5I63L6AFqiuIgvbiA4X0y7zVA/NkYdJEKtUtNwZ4uN34THXWtCTJlJ86wrYCnTOOcTmCY/XM2EnGuCpUV8Kqy/1Lgt99zQRapkHXjQ13Zx+S4WHhAnecccrtQZR21AoanfK9A0HOIDLNFAbf2zeleAT9V5HChARcjIFxG8bnKPFcfi1Twug7GJRIMFNyQZTEDZmA4DHApChfJcMHLXJBFKmTd+FBX9jE5HiDMdQVcV7dhu8FTnQIedj4jTW/FkaZ+18S5NvCO5Exnmq/Cdshj5mvlXC8zMEMMsL3JRN5iBuY8A8NcAT9DbHDVIVf/MUPltqn8TxO4MvB1Apfhs3UKHi/UCRODg4SLK7Bi/pLQNjPkDuAbBZb+rxbYuuJ6RGbLhwurCCGcMXGBP2lTNq52XCysHAH0ZHuctMBrhQMFLvHHzjVn1OFJwg6VGfuuwm6VnXDlFnvmiWsQuaP6VQLyLiGu5dyiciNtrsIkrUWVW9OjC2/96tR01sZ2UvDwRJm56vOPldveVWE21PPrAqt+rpb8npBnqMfIzuDJjgA8Bc//KjP/QSaErUWugiT9ubLNmIo/K40c/ZwkXFqBySHvaRa27Whjno8SzhdoL9w2qwL+k57E/ZnQEz4r3Kfya3p0eScjLoqVvsg7whW0zy8SHZOdd6c8Y+zSlyOpN1Zp8x0KV7ryLo+Hp55cafoW4RrhaoF38+2VO8E2EaIv0C9Y3fYExphjhdUEJH7yWDc+VEGWezB2nVC5nK4n9cxXn5Iu99X3BMrE2LG70EU2VqBThJ5wnfBNYdMiIvfEny1cJDAWfkfYsgiDNfdzwhH+ncLqNWGbuKkJusyprZ5bKyTcIIsrM/axpU7L/nL0R9nYiTxH2KjwH7SdX6T4vPdco8z4NG3Cy9YmdExWsy+vAnKnLx2ee4fXSJEPkZkO3iY0AuenG1QBeZk/LDAoQFw/4QWhzCitHYUVhe0Etr6PSBF3lpn0Vq3ceIGWCJQxhLuDeXlJj4HhAIHBiY5wYhVoiZ4nV+b8WEUW4u2VHIOn+KcI1IVz8LwrMF7FCwVMdHYOSGsRliS8eIcmexfeutSpyGZi0kRnpwxnCkww4OFcYW9hPYGJCROamNS9VWbqlSdZn5cd5ZzlPFlIF55DmIjskQPZ3MgA3LUJ78jHhGgb+gj3nNM/QtaX4TMC/e40YVvhyQITws2EnQQGn5gs8h7RfxjcIl0Z7yJd3kkiPVjgTvavCCh1cLRAP46+JuOEXCgcHxY9dxba+jLBPyBQPwZnhL6PsvtWZefBP2O5VYj+x3sJB8RF7iGMCUxmUIJHCoR9qcDE4N1CliWy1I0PRbAJ67hAe+a+jzvjXyjHmPAwWWGi8gYC9BEmJzcLRwm0E2MO4xdu66Z4F8mcJzzPlZ1Jxf1TmOjnTLyizXeQmbE/T7Zpny7cpKQnjIPUE572KROQnfGbNmZixeTnaQJjzneLsIO2M+8bExJ0HO9DF+nSN1vT6ZIIM8kfFik9THbiMjsKgZybinB1Vhp3rPCI9BgM+kkoYAacLB+S5a8CAw3CAIJiyfJqWXgxs6wiC/U4NTkSb8fKvkTPug4W8fZK8eCJFz3LyrLcmBzGZS47YVcF3JW3tjoVRZywUl/KhWINYaBAEX9KYPBZK/lRlp5wRnKjU5NGtCE8XiXQLvulcBfKnDt+8rKxYKBL/3yA4tyriHeM7CcWbofITnoMNCEoXtqVdmK3KMv2shA++kLhPWHt+k4errB/EXKf5L1HKZfl5P04fiL1pdKlL6NseM8OTfEwsqJidYhEmE9U9ngcJAPKjvKEUIabBCb4Iaws2fnJskSWuvGhCDZhHRfKvo/7Cyt32iLLl2RhYVG2bQ4Dr9Q78wpf8Ep7h2yQzGH8lQx7J/fo5/ctwjKB4R+ZhMANY1rm5huyl9ykKBPGQeoJT00KOI8xpPs2AQ5i0jBoO6NwVyGhSmIBlZxqja19MwpUG7ujI517U6FUwD+X2+8FOumg8ndFYObJ4N2rsKRKpO5FqUu/VHTMkHkhYnC5XeaXCN8Xrhd6Ai8kL1fddgortRAaJM+ak1ejsYknFFeeiTYm0MFjUN4mU6cc5zKViZkubUx7M/MMoSy0wTZCdETak4HsOVWgnfVkxXOu8OzKDS6IywrNMhwGeMcOFK4Q4l1/nsx1fYmwue+cJvtKwiMF+lAWVoHIdss7L2fr+k4+SbGuFfLq4hbZf9En7fDq0pfjPSzHKd69eB8jTF09GYCfUpSF+rP6C7lBhlFMHGMMLcv+A+XHWPX4VIbSSNuUvHK8Q3/N7UYbHydcI/xS6AmMWfkdoRy0B+N6lh1loSxZGBsyN+xktHEzlXrmvO+QhcVOCHkzBsXEYdB2vkRxSTPkS8k8JeMwFPDaVQnYriiFATn8S79+dghixnSB8HBhTKCDIrwoXYSZYZZQDg+sHN+hJ6tkBqaHCGPCmyu/ujzq6lcF7/QIHrKS6hRxgECD8jaZOtXFoW517tSVLbs1qjow62YrKJQtA99/CP8psN3JSgu3UwXL8Bg4QUmxumDC+WBhTGDiU/eeo/RKiXd3V3n0Ei6WmX6Wdz7KuF3fSSZede9QXXnKPLr05S79L8KwAs71xE4971dkXI4x/yf/u5eFG4I9ylXyE2NJ+Ndlhd9DhV4B+F69ikCYJQL9lH4Y4yGKOL8jhOs6fk2Gm6nUs6rKxKMub9yjbQZt55L3nNeUzLEymUoiN1eR6zohbqyQBpVdFIGXGeWYZ1GDpBODfsSJ2c9vKoeX6cnslxn+dEjwdJ+WzKg3wllNyGrJ3M84DN76pd/kR92a2p+tn9wh2O47QqCTM7m6XGAF8xFhJwEF/K+CZTgMsOpgpbNY+Mkkk4x39wuKv++AaXR9J29UunXv0JpyZ6u3n3Tpy136X4R5jTLjPZ0tksfYvDMUfIV/XXnxY9fjsXWelRvvB+8J56Ll6jZHI6228atPNq1eU6lna+IpwKxp52GsgOkcVwnlNghbFyi97wzCTBWWVVMpsXIt3Zvs5QvHzA5lflEVYRh5kBQKJpTlOjJzplQnwdOWheeqsrPSJy7Cx0xIntWy/ddFhlWnLnnlMLRxtHe4w8njhLOEPIlitYvfR4XvVYHZIkM5MFiPCVdW7n5MnYG6d4JUB+lPvLu0yaNrirNYbs+ocQ+nuvzr8qYPPEyIfkB8JtG8V23SJY94D8v+x7byiVUGS/SkP5f1JP0vC3Xlbitb1/GBdAiLxHhC2Vh1xxhajrHYmdyWW9NLU1n69ww94LU8J36R3OIMtY4/VovllnH081IJf1Fhn5kznaR5kHoypgRPm8j8iAHyXKKww27nAbK/M+gwFDCp7SdsIbyiSpoG/ZBwnfCpym2QB4M0abxTgGSU1OJBElBYXohtBeo4LjCr/bzwKwEhj6cKce4wJvPrl3oN9PeXCv2gKgZbdG/qExuemBi8rApD2Q4UWJX/rnLjbObXwm4CdeeDiVdWfm2PYfDWlked/8FyZCDgDD3eqTfLzDYX24NZGMwZMF4g5FUGZX+WwIBhGR4DNygpzuN4h9h1QJ4hDDpgvkVx2E5+cZUGD9pwD+HS5FYau76TjBcMqocJKF7e+49XbmWapb1LX2aF/WHh1cKjqgTYgv2AcFZl591kFbi3sFnlxi7h+wXOQ+mng8og48P1VeKMJysJTAyYkJwknCMsFkL5bS0zSvTdAkc7TULf/JNA30SpIigsdpx4L5AzhdsFPlZCUTPukO5qeCYhrVsFntHPeQeeJpy/XMjJWQapZ+aVNmSs7yqjaOeueQ8c7h8dY9ChmcWiQHiRmDGul+Iy6DJIs8XaE45PfnXGN8qRtHjpaVwGAMrCCpGXqUk2rMKxmvqiwJYKe/iHC6ukSCj1Tws0xk+F0wVeSvKg/M8T/kmgoXEjnZ5Qzv6YeTEAXSX8QGC1ioLN8U6QPSR4ulYOlwuUgcEmCwPdjwTKRud4gkAZ2Do5VmBm3BMYsMoZcBtvXeqkZJeT98rG1hdlYHIAV6VsJAc6ENxdJ1DuOLcvwzKxotxMskKoE+kP0pFS9AVrhLM22UABThPoBwy6xwgnC38RegLKhTbN/ZM2L2U7OdAXad9LBNLosvJoeycjHybEFwsoDPrHnsK5AsqhJ8Qq7kKZ8/jRpS8ryoS8Sbha+LEAF/ssdV7uLwqYHRlAH2URwaQAof/3hD8LlItxDfmu8Efhr0JPiEl53fgwEaFBUPaMHYwnKJYQxohPCj2B8YrxYVF4tjwfJv+vCSw+aDeUOZPdLLQt3P9BoE4HCrQzCneJEJL7OeMekx/ckEG5iTTzs2s9Ufx8EHaFcKrAO1C+w9QbPn8n0E+o/wuFkEHauadIjJ2DSJe+2ZreUBJpzWV4AUIB7zy8JJ2SGZi1DMy1/jkMIksFPIw0nYYZGDYDrX0zthGGnbHTMwNmwAwMi4H1lVA+u2W1w26QxQzMaQasgOd087nwZmBBMLCpavk+gbPJMWFj4VsLouau5IJnoHUZPYsY2k9luVGgzMyQOfe1mIH5zMBc6p+TbQeOlc4T4uyWfm4xA7OdgaH0zaEkMtuZcvnMwBxlwP1zjjaciz3vGWjtm96CnvfvgCtoBsyAGTADs5EBK+DZ2CoukxkYPQP8RKMn8HOatp8Ejr40o8+Bn9bwMyt+2rfQ5A2qMD+74ic7/LyJnxwNKvw+O36KuMmgkR1+8gy0LqMnn7RjmgEzMEUGuvTPMeWxWOD3vqUM+yc95LNVmckssR+iciw0BRy/r9+8agM+Zttrku2xo+Lxvs11Bfx01YHfOwcnk6SjNVpr3+SWF4sZMAPzm4ExVe8AgYszRq2AyOcWAcVumXkGuNyElT8XiiB1F6zMfCmntwS3KTsuO+HClxkVK+AZpd+ZmwEzYAZGysCaSv2OlAO35y104TjiMbOBBJ8Bz4ZWcBnMwOgY4Cc7J1TJc1XfDQIDUClc3doTuK6S607zPcBM1A8SuKoQsJr6kpC3tLmbmLSRxZUZ+9hSp9q//K6XK2avEfiJEVcsvl3APYQtVK445dpDQNl3vdN7ORNXXnJ9JOed/POIrwrjNWHZerxIYCXEtYxxlWJN0AkntmzZTgSvFbimkStxsZ8oIPBVXhW5e+XH43UC1zr+XYCX8crviXqSTlzb+ySZfy1wTWi0WxX0Lo9nyOUCgWs7rxdot/wPI7h2knzXEcgTPF5oktfLg+s54Znz4qOER9UERqmzm3K7QLvtVBOGaxtpq58JPeGzAldVhrATQ715kgdXnPI9Am6bVYH4vfcpQk+4TvimsGnlF49tZeAnatQ1rqXsdwvibgoHD+QTW/Fl+x4sP/oB7fAuYUaFglrMgBmYnQx06Z/jKjrhtqipAlvF3Ct8ZOX/Uj0ZCLmMPwTlwpnZBpXD3fX8sMCgmZUl3uRTd79yFXW5xwdlQylFuRhwfyfkO5APlf1jQiwWNpSZj4F2FLIQJ5/rrSo7E45vpUCHVGFQzCg6/okA9wlzj3M/4X5iykbdGOgPEFAaKFwUMHycLaDUQ8mw9csWJx9AhbxcBtJ4cHLjrmLc9kxuTGZQpv0EBcdqljSRlQQmKj8X1qjceFBnlFyboLRQOjGpos2p0/4pIpxT1m8LzxNot28IxIOjEBTy/wmvqhzw411hshPtuL7MnxFos9MEFOmTBdofBcxd2jcLRwnE4T2Db9zWFZD7C0wC4l0gHO9LbvOlIZf/u4qs1GOvyjm3L234ZoH25Z0iHG05GSHulGUoiUy5FE7ADJiBOga69M9xRSRckwK+UX4rpsQZVONfReLMwDaW/DHyFTVpMlhmwa2LAmYQ5R8XfKKIf5DsKK41K3cUQvwThgh6jAwnpniRFoNvFhQZK6gQlFFZ5rfJjXKEYkjBlzPGoM3F/yGsLBn8ueCfdMuV4JfkxvlrlH8tmVGaewshKHRWkSihkA/J8OJkrzOywmeFmSXa5J3JkTrfVJdA4Qbv1wtMJkLgb7tkp67UM5c//lEMk5mQq2SIM+dw276KSxoh0R75mlE4hKfDBdoFjkNQlP8rEA+JNB8eAfTkfcmTmeS1zBhtuVfyDLf8XsEFuyTvqUukg1tr32x76Trk4SBmwAzMcQYuU/lRDCFsvbG6CGHblBXgGUKvwpLKc4MINOBzG4VH6bMyysL2J4PhUypHVuMHCmwvoiB6AquvnG+kVSqkcxXuOUKWO2RBeYVQV8px3xyoj5ntzhBWa6y2UARImf8P5La68PjKn9Ue8aNMD5WZ1eNxwrZCKGqUVL9VHEpmU6HMj9Xv74Uoj4ydhdUpq07a4xUCEyD4+25NCjlf+EPifaFsjxTq2pVwWaFjp31ZdYYwEYEnwl0rwHEI/22KOkYaKHkmOJRxP+Ehwk3CkcJkJdeNVTyT09wXJptubTwr4Fpa7GgGFhQDDGJZGHjySggFx6r4AoHVxpjAFi7C1udkZO0qEivgXgJ2ynO/yv8EPVlhvkRg63ZM+IqQ8420GLjbpK6uxMn17ZcGCrOUyL/0i/KEP/FYkcMnqzkUMXb+pR+TjmcITHRQIrcKTdKUH+HJM+fXlEbpfrocnincIhwlsM1/jFA3Mckc8q4gwV/kvavcegkXy0w8VrdZyK9OSIcJSq8Aux1MahCUMytwFPABQk84S9hcmKzUvR9d342B82TmZzEDZsAM9GNgF3ky0LISzSvlfnHa/G6uArxGz7xNnOOx8mC1s1j4SZ8EI6379AkzSq/IH+WC4goJZRP+uFPXQwVWuc8W/kW4TrhBQCEzwWniQ14TkvMLt3iSJ2f6k5HvKBJYT9hT2F9YVXjBAIlF2b6gOPsOEK8MSjrseDy29CjsfLi3SNhbYJJ2kMBkgskaH7LNavEKeFY3jwtnBobCAGdpSHwwxfZurDC7ZHCPmkD5a9vsjYKOfDaR+RE1cXFaIlCuRxf+5PVlgfTr8iV4mTerHvLdskiLep5YuI3CitJCYqs58sDOiipva/5M9quFlwtMGFC+CKvgnYTnCm0KmBUy56xlfmzLs2KN8sjYWfZSyK2q0Gwrc+55vMDHSIMIZbtSKNuVNBYLrPK7CMcdDxPK8/8XyS2+MaB9mcAgtwmfF94pMHFbZ6nz7P5rBTy728elMwPDYICVBPIgga1blNIgAxTKAWXI4IZyZVW0WKiTX8qRfJAPCJxt1gkDNV9Bs3LZrArAjtz7Bc4RfyOwKuR8+pUC53sIAzhbpVk4p/uw8GohFAbblOSPch61nKQMzhEWC7EK31pmlMW7BT4cyoKCZfWbz3nhGMUBt9Fey8da3rafrFsInNcitA8fb6HQP1W5DfKgDVjx3rOKBH+kz/buoPIWRWCbPX9Ixip6D4Ez/i5ysAL9SThEiC1gJnQfEXgnELaj3yHEhIxwKOVrBCYR80L+MS9q4UqYgfnJQNf+iWJDObJyQjGhKHrCn4XbhVilMeD+UWB1in8o0zfK/HMBxXi+wCBL3r8VGCRDGGh/IVwhnCqgUPoJCpjtZXC5gPJYI0VgVXeawPkqA+8xwskC24s9AWUd8iYZWF3+WCBsrJTwZ1uS1Shb6T2B1RWc/E6gHr8SXijUCT/5gTvC8ZFTTyi3uznT/WTlx7Yo28CLhDpBSZDWE5PnyjLD+4F1ERrcmIhcINAuKO0vC+ulsLRprjMr2iZh9ftVgfcD7uDwo0KsQN8rM9vrlBvl9jKBSQS84QaPhwoh28nAe3KdcIlAm+XdkLI9SL8U2uhrAnmQxjnCs1Ig3k3eF1bclJmynyDwzjQJ5c5tSfiyfQ+TGxPUnkA/oF3OFQaVrn2zb7pDSaRvDvY0A2Zgsgy4f06WOcczA6NloLVvegt6tA3g1M2AGTADZsAM1DJgBVxLix3NgBkwA2bADIyWASvg0fLr1M2AGTADZsAM1DJgBVxLix3NgBkwA2bADIyWASvg0fLr1M2AGTADZsAM1DJgBVxLix3NgBlYQAzwU5SbBb5aXW0G6s3Pn3pV/vwsy2IGljHQ+im1uTIDZmDGGJhP/XNMLC4W8m97IZbf3PL74z2xjEi4JGKmFDBV4hIS8s8KeDrqPSI6lyX7bZn4ffJ0C5fG8PvolaY745Rfa9/0CngGW8dZmwEzsBwDY7IdIJQKmGsmrxfKf3Yw3+mbD/Xm0o4bZ6ChuDCFCzf4T15zWlq1+JyunQtvBuY2A/Opf46rKajPFjPQJLNxBTwDNDjLITLQ2je9Ah4i207KDMxSBrj6kPuKuYcXcEUh/y6un9xdntzFzDWVFwm7C1yxyP28pDEuZOFO4rMFwnItIP8QYMsUgHt8GZAAVyK+SPiZwNWQnL/uJ3AWi3BNIXlTTq4jxMyVmeVVipzXxvWPXH3J9Y9cI7ihwBWKEY9rEENIm6sFe8mtyTjVOjWli/teVRng91yB/6GbpaneNykQHPLcXLhYuE3gus77Co+p3Kgj/0Ky/Kcb3PH8aaEn0J5c8fgcIYRyRTu9VuaDBXYeWMm+685gEybujf6EAO/xbnEf9VpVONK+VaCspXC1KdePcm8zW8VcjxrbxeW7sov8egLlOFZoO6c/XGG4GpN6kFbItjKcJ1CuuCp15+Q/K42tWnxWltqFMgMLg4Eu/fNQUfExISbcKCju9d2xA0UMeAzmKEcG1jUFzvRQxA9N8VG8z0/258rMgMk/GEDuIYwJDNQM2McLKOiXCwyWyLhAfepWwBfKnTghTBBQ+CiguJf5ITKjKPinAiFLZMgKGPePC71lIZYa9tCDvPPgPow6FdlMWJl8kNdbhFWEjYRTKre9CZCkrPf68vuM8Afh34UnCNxlDNfc5fx1gXudaVvCHCmEwBkKiAlScPbPMjMJineBO603Figf9X+z8CgBBYnbU4UQ3ivagLZFmDTQluQfcogMNyU7RtKibI+u3PlnCkwGuPcZKd8V6sA78VKBidi7lwbr+5f6UN5NqlC8h0x2op70Bcr/rb6pTM2zS99szWEoibTm4gBmwAxMhoEu/ZMz1bhUP/I4RoYTO2SIAuYfH6yTwqKI7xCOSG4b1KT1K7nVKRQG6VVS+PiPPuNyoz5dFDBfDhN255QOxncIb01uS2SerAIeRp2K4k1YrxKYiGTZQRbqU8fX8UVYlBph86r585XbY1PYz8qMYgsJxZ8nSvixAr8whaNtSD+/HyhvVtr8m8IQ4jEJyLJIlockB8p6U7KvKzP/4ODDOZLMrxLIk92aEMpE3BWT2zdl/l6yNxl3lAfpbVIF2L6yPzxFoF/s2ZTAENzJv6/kivUNaE8zYAbmLAOsGg4UnimwguXDFLYr2QLuInzMEqtUwrN6uVp4UorM9uFxAgogBnAGuDolxhYgCjzkS8nc1ciAirBNnYXV1bBkFHVaXYVDcbKKzcJKfhBhB4L/WBTyGxlYybK6DblBhtiBwG27yuP8FAYjk4HXC6x+2e0IydyS9o1CTo/V79sFVqxMAL4rHC30k23kid4p2+0HVSTalVV6CGXjY7QQ6vTkZO9qvFwB/0egjJ8U2C3gvc47BF3TGlo4luEWM2AG5jcDJ6h6rBhfIjxYGBO+IqBguggDVykoYbYOkbWFJcIaAoMjK6AxgQGuLg+2S6cq5IlQjlHIqOrEChApObhlwEpwtpoFBckKNX/1ixsr15Dg7Pty6CWwMiY9JkxZynYv0+OnPnsJDxdYmbJaPUDIeS6XoCxRhrL+0Y7hH/HaylCm32RnAsl2PQqYMvaEs4TNmyJMh7sV8HSw7DzMwMwxaTjUHgAAIABJREFUwIqFlc9Rwk8mWQwUaymsoFl1IaRPPh8U+PnHdMjNVSZxltmUJ0rjboXnak2Bk/uo6sQqEmEbPws7E6OW4Iyz17EEFC/5d90RiXKyxcoKEiX2GOF0YbHAarpJogxl/cMe/k3xp+LOdvwigfruITBxoMx1k8Sp5NM5rhVwZ6oc0AzMSQbiA5my8LF6Ld3r7KyaUbghDJZ8qHNB5VCXB6ugvF2ZojcaORtEQmFyHlh+xRuR+coa2TIcqucb9WRbNOS3MpSrqnx2WkRfZh1Wncr0WWmydZy37wmDAhu1nFFlgALOAh//NonM+dp41SoeW98vFa4X+GirSVh1sqX8+CJA2KNdm+JP1p136V+qyOwUsGXOCp53NH/fMNn0JxXPCnhStDmSGZgzDHBmxuD4SoGtYeQZwjMrc5cH24WHCqyEOcPkDI3VDyte5EzhduFtAh97oUDfLXRZaRI/hMEbeZDAqoSPgJoGx5Pkd46wWIjVIysayvBtIYRzyscJm1YOL9CT9NtkWHWqy2exHFk1vlmgnrQLymDUcrIyQAEeLMTOAdwdJvxqEplvozhvSPEeITPtxTZvk7AD8GHhVUJs/7Itv7/wdSGf/zalMRl38niHEBNPJogo5WuEX08mwemKQ0ezmAEzMDsZ6NI/N1DRTxNQpCjjYwQG478IPaE8+5PTMjlWpouEnYUrhf8VSGN8WYilBrZs+ZCIszw+sDlQuE5gxbdEYMDvCX8WUNaY+flMKe+Xwy+Fq4QPCA8TekKOx+CJ8NEQk4GecLlwvrADHklWlpnVHSthBlsU3ccFVmE9gRU0Z+RsfcIleb9MQIZVpyq55R57ytYTWI3B27hA/mzhnyI01ft0+XEuytZ6rwp3vJ63CJz/4saKlnajvcNtK5kRJkXUvydcIVwi7CvErgNtAgdRFpQzSrUn/FXgI61zBQSe+CL5RwLvBG3w2gmfpcJ7kMuKwgt5kwxXC7TJL4SDhdgKLt8V0kFQ7ORPOXpC00SKMv+XQB1Qrm+pwn5KT95hysr7RbvTN0YlXfpma95DSaQ1FwcwA2ZgMgyMun+GAp5M2RzHDCxkBlr75v9byOy47mbADJgBM2AGZooBK+CZYt75mgEzYAbMgBloYaB1Gd0S395mwAyMjoFR9U/OWfmAi/Nazooxcy5pMQNmoBsDQ+mbQ0mkW3kdygyYgQEZcP8ckDAHNwPTxEBr3/QW9DS1hLMxA2bADJgBM5AZsAL2+2AGzIAZmJ0MjKlYXPHIT2Z+Jhw3YDHjZ0BcEWmZowy0LqPnaL1cbDMwHxhYiP1zsRouftea25Df+P5ciN+T4jcucMlDKfzW9DfCnqXHLLKfobJwOQWypoASrpMxOS4W6n7PfYjcrYDrWBu9W2vf9Ap49I3gHMyAGRguAwcouToFzCUWXCKR/yHBuOx1CpiLOK4XuKxiNgoXY2wtnF0Vjos2yisko9xjMsBJnQKOMH7OQgZWnIVlcpHMgBkwA5Nh4AhFAl2EG5XqlHiXuNMRZmVlwr91vCNl9qfpyNh5zC4GWpfRs6u4Lo0ZWFAMdOmfXAHI3cmXVuBscNcOLLF1Sfo8uWCfqx65EhK3zar4G+vJ1Yk94TqBM8tNK7/8Uyaus9xd+KmAIqEs41W4eLDq49pArie8WiDs24W4JpEVIT+HIn9WhJjBmHC48LvKbxM9EbZvuQqTFXGE5epKfk6FnbpwjWOWDWUhHitprkjkqsWsqPeSnfwB1y5yhSKraK48fJfQRdry2E2JRD1JG3PT+e9+8ot6c/0iYePqRsoSW9Cby0wbcPXlOcJGeCZp474IbmsHBrr0zdZkhpJIay4OYAbMwGQY6NI/D1XCHxPiyAkFwGC9Y0uG68v/MwL3O58mbCs8WWDARwFzFy93KB8lkDaDOAoOt3WFkGNlYMXJ3btrCZxnfllAET80Aun5QQGFuUXlhnInL+6EzkKd9yncsFIf/EIB47ZYQFnXyYVyzAp4Pdm5M5q7o4Ort8rMKvTxVQLcP025yAeF9maByQllxO2pQj/pkgfxV6nSQ+G3yXgVNnjL4VHAtB//gP5JwtMEJhblP0zoyn1O2+b+DHTpm/1TkO9QEmnNxQHMgBmYDANd+idng/yXoizHyHJihwwZwMmDf1oQspMMKFJWnVyMv07yQ0HxDxuIF4IC5jKPHI74KLbYMkZhk9YnlsVaajhIDxQ1SjtkVAqYy/pZFVO2EBRxT+CDqJBQjpk/VvusLt+TwtUZB81jGAoYvpgwhfAfo+A6JhmDcF9XJ7vVM9DaN6MB6qPb1QyYgfnAAErlQOEK4XqhJzxP2KBj5YjPai+E1TCrqu2EawVWqSGsdPkSGb8sbOnmcMRnm5lVGbKNsKLANncWtqpReGyjj1q2VwaUnbKFsH1N3aN8yWu5rV7+O9GNAv9ftp8Mmke/tLr6MdHhvwCFsF0O1/etHGYD96l4C8dII1jMgBmY3wyw9buhwL+a+0lV1c/pmc82+zHQtIW7tiKtJvSKyLjxRXIW/i1dKSg6tm8R0kJYAbMdGsIYRdz7JbdRGSnDNTWJU857CGsIuV5lnVDCrIT7yaB59Eurq19dOYkbZZ0N3Hety7wKZwU8r5rTlTEDd2GAFRmr0cVCKN+7BJqkw82Kx4r6sR3io7xKYQXGb3ER0kJeI5xSmaf7QRny9nPkjxtbtqUim0z5piOPQcs1G7gftMzzIry3oOdFM7oSZqCRAVZudfLAOscB3TgXfZhQni+/SG7lR1IPlltseZINSo2PmS7AIlkioOQeXdnjQfn5YCuXl9/wxpfRm8j8iCJOtpJmhGW821loWqV+R35sy+dyEvdxwlkC+U5VRpEHdUSinmzXD7JjsEThu3JfZeXHMBiwAh4Gi07DDMxeBm5Q0S4TXik8pCrmM/R85hCKfLDS4AMpPrgKpYZC/IhAnln4Oc2hAivh1YVPCnykEtvNN1XmvfXcTEDYoXu/wEdksVLGnfNkvsBG+Pp428pc9yDsagL5ku4XBLaK64T6sMqlPjE2vllmPlJ6R12ESbiNIg92IRA4WUk4UcgfvFXejY9BuG9MxB6jYaD1S67RZOtUzYAZ6MBAl/7Jqo4Pp1CCKMZjhJMFvkzuCSi4OjldjigkFFZPeG9NIFbAXxN+JVwinCM8qwh3rOwXCaw++RiIr6Qpx3gRDisKmK1ycLnAV8Pl9vUL5MZPafio7FRhVeEwgZ9WwQcfGb1FQO4pEIaPxcj7hQJl7gl8XHZ7ZY4JxEaynySg1K4TzhTiQzEZJ87RUerkw3kw+aLsegKryD8K5wr9pC2PlylyzqMne9t5PRMV4lwlMClByvaj3oTjYzjKT5vBR0gX7lNwG1sY6NI3W5Lwz5BaCZqhAGwz9QS2xQ6doTKQL7NnXjRWF5bpZ2AonXzExQ4FPOJsnLwZmFUMtPbNYWxBM/tjm4uZJBli3nNW0TD6wixSFrvUZPN0ufEF5eY1flN1Ok8JjAkowJmStyrj3WoyH2W9a7IbutN9lCJbngvtPR46kU7QDJiBZgaGoYDZzuDs4TiBLR3MRzZnOS99FqlWdQr4NrmzLcQ52UKSuV5vdhXYgmTL1mIGzIAZGAkDfORgGR0DP1TSjxld8rM25bleb87x2s7cZi35s6hgnKsyAWVH4R4Cu2PbCFx2YTEDC56BYayAm0jka0i2pMHxAivEnsCqgjOh1YR+wuTgIOHiCnyQ8SWh6YORSGtrGejorGI+LnxIYDuRVSgfovBziJAueeylwFGP18p8oMB9sbjx8Ql58ZHGDpUZ+64CW7OYCUcaWZ4hywXCtcKPBO5lfVUV4F16xkcSW1RupM2HJaS1qHJreky1Tic2JSz3lQW+XuXjk1uELwt80Zqlrt4lhwcrAh/3sMp8uXA3gXYiTQbs4ELGZbKxTPw+tCdcJ3xT2PRO74l3LNoJ5clHRhyLXC3slMJh3EDgQxveqUsFtvP3rcLwoQrtxm4OaWbZUJavC5SRj4C+J2RFXVdP3nfajnZdaMLHWw8S+EiKr3MxW/kutLfA9Z0SAwxqXeRzCnRHCsiMd0xggEPJsC2NQnmpwOD2bqGfoKA5P2WwRJhNf1g4X2DAbhMGUQZ57j1dRWBgpRx8JRhfPHbJ494Kz+APD3zleYDwKAFFFMpqicwM+KWQb6mA+Yryb8IrqsDU5X1C5m68ihcKmKBrVm6LsCShnvkjrGHVqchmwnq4wOrwmQKKfnvhMoE65o+wynpnDlkdv16Aw6MFBumPCftUbkfpydekeaLEwH2zgB+TRjiDf9zWFRC+RdhdoCzfFp4nwN83BJQgZQi5SAYmASHPlaE8JrhQblkBryf7qC/qT0XqbKS+FjNgBmYfA0Ppm10TKRVw0MFAdpPAgB3C6oXVQz9hoB0rAqBEy8G+KQ0UE8o/Cz+PID6rcaRrHqFQ+DlDCAP+jpVliZ5dFTA/hUABZGFleWNyGJeZck5GAQ+rTsuXcIUVUED8bAVlmQVFVrZJqYAJH25fTZHXr+Kysg0hH9JjohaC4kcpw3kICrW89J/2IO7eKdwTK7enVW5MDP8uvCaFwXhAYee9PT65fUpmJo5rJTe47glnJLeo54nJjQkf5+LvSW7DMnbtn8PKz+mYATPQjYHWvskAMh2CImTVF4JyvH9LxgySrDwZ3HoVllRxYlXcksRdFB2rZ4QtY2TQPNiqDGGb+FvJ3sXI9jnbpqwCszCwx0quSzr9woyqTo9TpiivC4rML+5XmBq/HJ6jAaR048XN78d2sl8rwHkIK3G2M/ErJfPLu4ZEeihylCsTiY8K1At5b/VserDaJz92ZULgmsnUNkKeYOKfy8AqnwlW2zsf6c73p78yn+8t7Pp1YmC6FDBbwVkYkGIbuKmgDGpsHzLgP1wYE0Jxcp7URcp8b1EkBs241m7QPNjKnIqsXUXOg/hU0quLO6o6xQSh5ABOB5HcJrwHSHZD+dJG+f2At4cKvQKUqTyDltNy6UUeOT2OAT4usBOCAv2p8GIi9hHKUNad4LQlE5M1irjlu9flne+T/bzyYjJ+vVDH57yqqCtjBvoxMF0KuF8ZmvwYHBm0DhTY+pyMlIMiM2/qHCuvYeQxSLk4s0QoRz8JpZHPulfrFyH5japOrOCQvAWLfc2U96iM8PZjYawASpFdkkEF5fhOYX0BZYyd7ea85V+mSRnKuhMGN1bVpcIt49t+JwPxlXk+jjA/ZmDBMTCbFTCrilJi5Vq6N9kfW3g8ubLHNuow8iBJBuBQlpxTbt1QoJvkzkdgWxb+q8pOmeKMk499kFgxY35k5db2GFadynzYJqaesQsR/o8pA47AzjEE5//3KtJ+kez7DJgfK2Y+4EKY6HCM8BKB9uN4oEm+Iw+OPu6bAhCHLeyzhHzE0pTGTLjvp0yZPLGz8GqBs2l2LVh9crbOmTWyl0AYUH7tH+fZ1PctwjXC1QI7B28X4t3nLJ/J8h0CW//RXufIfLvAJAau8ePYJZ+xyzrxLxO/LvxS+IXwPWErPCp5l54cQ1DGmCztIPOvK7dFEVBPrqD8hPAj4dIKH9KzbhIV0eifpM2TjwQ5sqKcuG1WBWor48+r8HAMHyF89/JvyX6CzExE4KTsUymYjQudAV6+LtLvI6yyox2hBOnA/eS58iTvAwQ6OEqKLWncXtgvYuVHJ6cjv0lgy3pMuEJAAcZ2ZNc8GKTIl0GqTqh7nGO+UWY6F1IXL76CflkVhknQR4SvVXYenCdS/i8K1P3ewnECZVgkZCHcoclhWHUqspmwMmDfKmwnUO6nCT0hD1Cy1ta7jgvCErdUoiizt+JZCRMvBkUUZ7TdJjKzjTkegfTcUSA9/EIeULmxM4AwqWEiQdlDFsnwJwEFG3KhDMcn+3oyMzH6rBAT131lRtk8PoVrqifvO+/9sIX6tglKg3AoKjji/aINWbVHmXjH2E0g3CXCAQJKCM5DAX9QZto/lB/hUYgfEEJQMriVE8Er5QaHIU38Ej/45R0o+R2XG2XMuxVrVm6LInE96RNnC1EOJnCUa6sUpjSyI/IZgWOF04RtBSbtxEMBxzvQVkaU8BeEkNVkoB7svMVkBT8mlrSNZX4y0KVvtta8LZF1lEJPYDZHWMz/IrDNipkZJLPfHwrIdwXCMgj2hAdNuNYLyoyXmReX2Sizb/JgIDykPsoy11BMzNAZqBlgUeAPLuK15YHCRJGT7++FnlBuIT9CbsyyUe4/EFitomBzvFDKcp74Gc8FwrXC5cKnBQbALNvIwuz9JuFM4QkCZWDGfKzwFKEnoKwYSINfGVcYRp1Ip5SV5cCqggGKGf5/CrsLlIvB/R1CXb1LDg9TOAbCXhWX9BjU2BnIblkBMoAySfmVgII4R3iWEPJeGf5LiLJQjmcLhMeNQZRBmQH53cLFwmUCkzLSerqAkE9PiPcW890nfFZYYSPhJIH36TqBdsmrl7p6Rv/gfee9P1cYplC3NgkF/LEiICtCyoXiQWLycGoKR/lR2usKhKX9sxwkC30LJYigsCjTCyo7D9r69GTHWCrgT8kNztdK4VDEPeGM5DYuM+m3KWB4/vcUD+Mi4SGFW2llXCF93sWQnWSgXF3LCM+8izGR+GeZmYCQbkzW1pCZ988yfxno0jdbaz+URFpzGX6AUMDDT9kpmoHZw0CX/hkKmElJlufJQvznV46hgJm0lrJLFZYt5CwoF9JASYVcI8MpyX6kzMTPUirgq+XJOX8prL7/IqxYeYzrSX5tCphVOeGY+DKBKFfkVXJ3eaCAWa3WSdcyMpkjbyYjCDtZOwj/KxxYucEHeVnmLwOtfTNmaPOXAtfMDJiBYICdkizsPCAPXN659uvktaswrIB7CdhJ934pjaNlZjcAt3sKKJ+Tk3+dkfT/u8aDMqI8WTEOIu9U4L2Ehwucv94kHCDEbka/tNjdqZOuZWRHhbqwA0N+TxS+UwE35LlCnqRUzn4sJAasgBdSa7uuC52BUondtyKEI5424egDeY0wlsAREtvPR034LpUv6cHYspvA6vpbQtOqMuKQft5+Dnfc2PqOyQMfziH5LJUz1lJYfbDy3lx4jMAW+GLh9WXAAexdy8ixEEr/OQKr4O8LlBuFy8p9A+GxArsAlgXMwHxUwFurPdl+foCwp8B5ocUMmIGlg37mAeWAsrioAzlLFAZF+OgiLKvTLwt5Fc33AKz4dhdeKRxdxKmzEh7FFJMCwqBkHyecJVBOhO8/kFiRY+abi1IOl8OqlSNnrS8Vrhf4sGyy0rWMpI+ypVz7VGbcThWYGHxYOE/g9+4IE6O8g1A5+2EGlr4w5sEMmIHZyUDrOZOKHWfAP5J5W4GJ97jAqvKIVK04A2brtk7eJ0e2cjerPDmX5UMuPqwsZVc5ULa6c13Csvo7PkVaT2aU62eFWBjsKzMr5/hwieDkyQSbc1UUNB8vHieQ1yIhhI+e9k92PpTkDJaz135yiDypY510LSNxVxc4u6b8eYXOapiycv4eAkdstd8rudk49xno0jdbazmURFpzcQAzYAYmw0CX/hkKGOWD4vq9wBklq0SULlJ+wd2T230qv/zYW5afVLhcT74MLre2CU+65JGVIO5T+cqc+Mg2ApMJFOWZwhMEeGCL+FgB4YMzfkdMOFbAlPW1Ez7NwjY1kxK2i3vCe2uCtn0Jn6OcIQtb0Vk4m+ar8axsCUM5u34oViRp6yxloEvfbC36UBJpzcUBFiIDh6nS/FyDd2yTWUQAP+liIG5aCc2iok5w1yahgHduC2h/M2AGhsZAa9+cL2fA3xZlnEMtRGFGzW+lV0qVH5e5XHngzYqGD244G59uWaQMy+2/N8ht9yEXZFzp1dW9KZvF8tiq8GTL8zNNEexuBsyAGRgGA/NFAfPRx43DIGQOpsF24i+F+KCDKowLdUqID1n4EIWtwemWRcqwVMCjKMO4Eq2re1NeB8ijVMBNYe1uBsyAGRgaA3zQMB+ELy0XqhyhioMu8kcFsrLpwtT8CbOfqsLHTMjRwleEqfwUp0rKDzNgBqaDgdZ9bBXiKcJJwqUVOEPjK8gsnKeRFk9+CnC+8OfKLb6q5EMQ4v5M6Al8EVn3IYiclwk/M7pVyOd1x8tOXgCFwyUAtwtXCzsJbdKlPnVpfF2OfM1IvnxteqFAvqxQ6wa9Z8j9AuFagZUpH5CUlyIQj49I4PYK4SghfkrBRzS/E8gvzlApA3ywIuZrUfBJgY9fMMM5/GThK03C9ISfCnwQsnsKsJfMwScfshwssIpm5+FdKVydkYsIIl8+Pokyxfuxo9y6tFOXNmmqe125tq7KQt63pHKNVYEP0ZN3anOBn+ncJnDBAh/hZOFL3LcI1wi8X/D3dgF3hJ+jxNew1D0+viEt3g0+HKIskxXKbzEDZmD2MTCUvtklkUNV948JsaW9ocx8XMPgGsJ9s5yroaBOE1BQTxZQIChgFCNfH75KQPh5AUqagaptqzwGyyrqxH8VQoFQds6H+eR/C+EbAoqDtPtJl/o0xd9DHuR7obCJsLLwpsptlxSJyQZbwi+v3DjDZRLDee4alRsfzVDeB1R2FOXZwv6VnUcoMPIKWSwDSqVOKNfxyQMFSZoomZjsPFVmlCVntAh8bSxQL8K9WWAS8IHKjfBtskQBmAiVEuVva6eubbJYGTTVvcwbO3Xap8aDd4p39avCkwT+ecMvhO8WYT8oOxMe3i8Ennin4SaEiSRu5VeuTHQelMJNxtilf04mXccxA2ZgagwMpW92SQQFUf6G7Ri5nViUn0GN9LZM7ijetYSrBH4qkGV7WQjPIN1PSPemIkAM7Hsn9yfKTHoMpv2ka33q0ggF/NzC8weys0IK4XeKPyzCsEqlfHxYhRwksDJGSYawWtou2aOemyS3xTI3KaEL5Xd8CvtCmcmTdsjyJVn4EjjadZUqXG5TysXK8D3LR621LZFrPwWc2yl+VpLbqWubLFY+TXWvKxh1b1LA+G2WIr1N5r8KMSFct7J/okiYdmMCs2blTpuR1vNSuMfLfEYRbzJW0rWYATMw+xho7ZttK8uuVWJb80CBLVIURk9gsNmgJgHCsooKYTXM6u+RAiveLJdWlqxwiiCt1qzk2AJE7t8Sa5D6NCWV60gY6sbqiFUmymRToVTArH75qIqJB8LqnxUScV8hMKCfK5SrMMJOViKvsixMGFYXUBRZcjh2LG4U2vgskqi15nTZ2kZyusNok9qM+zjeIT8mSiGUa0XhvpXDNpW97r1lwsK2OUKbsXqmDUMWycBvci1mwAwsUAaGpYBPEH+spF4iPFgYE/jYA8VaSt3qZO0q0K569hIulplVGCvkyQrxQ1AYSF5R3ul7p2mQ+tTFxy3ni53tTIQz3qgv28ulEC78T5f5mQKcHSWwrc/OQiiAMu5k7E1lifKGf6Rd1gtO2/jsUq62dhpGm3QpRw5TV1f8o77BDSvgXgJ24ubrBWm3nQTajn6BmTNrixkwAwuUAWbzUxVWKaxQFws/mWRiN1fxvqDnvpNMY1jRhlEfysI57m2pUKE0fyM3zoWRuokFbpwNhnxHBrCesKfA+e+qwguWhZiaIbgnXxR8SJQt/KeWy9RiD6tNplaKu8YObl4jr1Pu6r2cC1v6bNXvInBccqbA1YgWM2AGFigDw1gBlx+WBJXl17z9KGZAulJ4dE2gxXLja+HpkmHUh7I+tigwH5xdI7Dqpb6ceZfbu2zZo6hRuMhewlaVme1PBnDOb+Mr6MrrLg/OKeMrXNp4Z6FplRp5lWXBzioubw3fJaMBHHKZ1lE8zkW7yiBtMkjdyf9vQnC1icyP6FoohVsikF/53lLeLwu5D7AFfZ6wu7BI8PazSLCYgYXMwDAUMOeqlwmvFB5SkYnCZOt0EOGnHJypvThFYpW3hxBnwYOkN9mww6oPq1UUKoMxXxNvKSxOhdpP5i2EOBck3IeE64RPVeH4AIgV7z0rO2eyxGk7A/6lwqwmsAonDXYWYvu9SmrZ4ySZzhEWC/epXFGOLxLeLQxrlUaZOM9GOGp4U2Xu8hikTQapO3nncn1A9m27FKgKw0SKr6D3FuAZYVfp/QLn/Ox2ZEHpMrFByZ9V+NlqBsyAGbgLA61fcikGiuY0gdUdypjzrpMFfv/YExiMOM9kRYUiwO29QilsZZ8voIQuEUijbUXCCi2ny4cvpM12KmX/tfAy4dnCryq33+l5qNAkXerTFJcJA/myAl4i/FG4Xnh9TQQmKRcIP6/CsGpiqzmE1S8/g7lKgNcfCx8V4svkw2TO9WQSg6CwTxWuFdhZeKHwMKEn8DHT7ZU5VsX8zOiTldtP9WQLfJEQ8k8yoKioFx+JkS+r2J7ACpA6niv0E9qRiRR14QMvProbpJ26tkld3fuVi0keq9MrBDhje798V+EOpcp7Awe8R3AaggLm+AVcLjCBYvJTCm5/Et5XekzB3qV/TiF5RzUDZmCSDAylbw4lkUlWYC5GCwXMCtRiBkoGmERtVDpOwe7+OQXyHNUMjJCB1r45jC3oEZbfSZuBecXApqoNu0Q/m1e1cmXMgBmYFANWwJOizZHMQGcGuFTk6Co0RwRHdo7pgGbADCx4BlqX0QueoTsJ4Hed/H4Wzjh73s3cLHgGWPXysRbnxpzxx7n7sIhx/xwWk07HDAyXgaH0zaEkMtx6OTUzYAYqBtw//SqYgdnJQGvf9Bb07Gw4l8oMmAEzYAbmOQPDVMBj4uqbAj8z4SOT4+Y5d1E9fo7SE5jt8HMUixkwA2bADJiBoTDQuoyucjlDz7jbdk2ZUcLvFPiN60qpJGMyLxb4bXAX4d/UcXY2GRlXJC6yGLVw+cJCUcBTaY9Rt8NCTL9r/1yI3LjOZmAmGWjtm8NaAd9NteT2pLOr2t6iJ9fzcWkDFzj8PbEwJvMBQlcFzMdMN6b4gxjHFXg6FPAgZZrrYafSHnO97i6/GTADZmBoDLByG4asrETLUknfAAAgAElEQVRWEe5IiXHjzxEVppLHK6cS2XGHzoDbY+iUOkEzYAbMQD0DbctofmrDXb2E45IBzJz/Hi7E1X1cco/sl9y4QpGwXCXZJFxHeavAzzhCMJMXz82Fi4TbhHOEfMMQ2+HEZfVNPoDrFkM2lIEwrNC5ivB7Alc/dpG9FKgncKXjuQKr/bot6I3lfkoV9jo9OSPnZykh+WdL28rxQoE0KVO+upL8SB+8VjhQ+G1lP1FPZHXh00JP4DpJuHsOHkk2kPkkgesSuRbyPGHf5M81jvwrPa6ixB9wP/VaVZi69sCLW7/gtifEVZa7V3F40P5R/uNl3qUKy/tyrFDeGkbduXqT/Lki8iih7R9QKMiCFHi1mAEzMPsYGErf7JLIKqo74VAUWXas3BmAQ8YrN/6pQBc5RIFuSgHXl/kzwh8E7kl+kvA0ASVa/pOCxXJjO7wU7ltGgf2bENvwb5WZFfzjy8CF/UWyU1cuVaDeKH2ULG75Iyz+8cDNAsqDPNimR0nhtq4QsocMxL1QgCd2E95UuaGoEO5qRpkTDiV4gIBCIj0UML8tRZmitOIfKvyzzNy7TRuEMFk5ONmfKzM7FSGHysAxwj0qB+5AZhKVJyZle5A3cUg78n6qzKTLP6FASG9MQKGi3LmMgvZ/qcDd1PzTh5CdZUAxP6ByWE1P0t//ziA2JQa69E8TZgbMwPQzMJS+2SURFBHh9irqyOCPO4olZLxym6wCJh2UAOlutizVFVb4V5n5xwChUPFaLNQpYC7LZ+CPlR1hidcT+Jisn/CVN4okyw6yUJ69kyM7AJRnneSGIuW/C1H+kFDAKMMs/MOCq5NDcMw/DAghbTiOScHzkx9GVucXVm4oQXYDXlOEQZmHEP7fC/9Fsj8kuVH2m5Kdr8Cp+05FvC/Jzj/JiH8cgTdlIe6KKSy7Auw+hBwkw/VCvrCC7wu2S2FsvJOBLv3TfJkBMzD9DLT2zayspr94U8uR1eqVKYkbZGZgv2+HZLdXGL7OZhUdgnJiFbeNkBVECjKxzct/8bkgO8p8cWHHisLgvxGxggzhvwaRb50yIe8s/FcoVr2xqgw/VrohpP0tIdIjThYmClyFiOJnMoAC/JjwUeFxVcD3Vk8erDR3FU4QUOwo7aMFtsSbBC6RHxYBmEDAV7mjQJn+lsLSbvdP9nNkZveAurxCWFM4Vyh3N1IUG82AGTADc4+BuayAWV1lYbsVySun5UPcaVtbRrY5S0Eho3TWKD0qe2wdl3HrVtnk8VChV4A0UEyllPWJycEDi4Bl3niTF/J9oZfAyvhWIbZz+beCHxfY2kbhc16b//8yPxvbS3i4wMqU1Sor5H6cRt5luaL84a9kJqSsJ+2W0z9ddv5NI5weJfCtwDFCl4mVglnMgBkwA3ODgbmsgKfC8M2KnLefIy3cWCmWSiL8b6wMZVxWaaWQB/96bqwAComVbSml0g+F85syYI2dvJBHC2MJKF7K9rMJ36X1QsmuL6CMqefxQhwHsGXC+ezmwmMElOFiIX8QJutyEnmXnIQ9/Mt4/ezfkSfb+g8WPii8RPhsvwj2MwNmwAzMNQZmQgGj4BA+SkKeItyvMg/7QV6RD3XdWWC1xQC/gZBXVYRjW/YsIW+RyrpMWE2iVJ+UHWVGWZVyhhweJuQzUMKwKt2nDCz7Ywu3J8t+jVCuLGuiLju3RgFnYbucD80QVt2frMysOtm6RrFR700rd86tV63Ml+nJR1Kcx/b7AhkukXKrGTsKvtyaroI3PliBb1X5/lrP9whMEvqVoTExe5gBM2AGZisDM6GAGdARzvlWEk4U+JhoFPJLJbqawOpyM+ELAsrnYAHlcIgQHLxZZraH3yH0k8XyZIVIeMrPB0qsKkshD74EJo/YYt1E5o8IKLdS9pQDkwK2wPl6eEthcRmowX6y3Jk4kOd9qjCsfA8TflXZKSs/YXpaZeeBmbP0Cyo3zr/jy2WcHiHQNv3OX0+S/znCYiHy3lpmJhrvFvjobBChnfYX+EkUwsSBFXq/MlRB/TADZsAMzC8G2r7kepmqi6Ij3O+FnsAKhsGf8zvcWcm8RQh5vwzEuUr4QHIvjayeUJQozZ7Aaplt0ezGKpP0+CCJvFA4LxQQBvFThWuFK4Vwx28jAeXBhOA64UyhXNkSrk5Qlj3hNoEPsMaFqP8pKQJl+5pAmS4RUFTPSv4Y9xCIywp4ifBHgTLlbV+2i0uOQ9nJa0KYaHxc6AlXCOS3r8AKF0GxoxApLxMAwlCep+NZCW3JF8k/EghzuYDSDqlrD/zuLbC67gmcKxN/kRBCWXvCn4XbhVgVo1SpLzsV+DMp4935qsC7QRnYcfioUO4kyMkiBtr6p0kyA2ZgZhgYSt8cSiIzU/85kWsoYBSoxQwMyoD756CMObwZmB4GWvvmTGxBT0/VnYsZMANmwAyYgVnMgBXwLG4cF80MmAEzYAYWNgOty+iFTc+Uav91xf6DAMeck+82pdQceSEy4P65EFvddZ4LDAylbw4lkbnAlstoBuYgA+6fc7DRXOQFwUBr3/QW9IJ4D1xJM2AGzIAZmG0MDEMB8/Mi7vNF23PRhWX4DHAX8i3CzcNPel6nmH8ixwUfFjNgBszAnGKgdRmt2mwoDFMBL1J63FdsuZOBg2QsFfA+cuM3w3PhJ0xjKudigesxp1NWUWa8m/NVAXfpn9PJt/MyA2ZgKQOtfXMYK+BRkL1IiVoBtzPLB1xc8sFFJbNdxlTAA4TpVsCznReXzwyYgQXKwGxVwAu0OQau9pcUg9vBuPLSYgbMgBkwA3OIgWErYLZCjxb4BwLgcIEtwCxcq8hVhD8TesJnhbhW8e4yc57MlZA7VGbsuwrHCFxliLLBbWUB+VeB6w9DuH6RrVquOMSMcB0jZ9X8c4OrBcK/vXLHP2RjGbhKsidcJ/Av+TZd5rv0nwKwrQC4MvFkgasVSXOnFK7JiLLk+stLK8ADdStlfTn8p8A9yvw8iX9IEFdKRliufozrN7ljOoT/oXu2cJHAVY78swTulS6FYwN+BsUVl4Qj/DsF7l4OGRYf+ynBE6pET9eT9ovrKFN2yxlfLxvlgiuuzTxKeFQVIv98a1u5XSjQDtSFeHUCfwcLvJdw+q6aQIPU94mKz5WZvGe8D3tX6bWlQTDKfJ7AdaHUjetSd67i+2EGzIAZWMZA6z62QsYZMHcA7yisKGwncGfzEYlLlBTbpa+q3LhD+HyBO4nzZGCJ7Ci3Uj4vh18UjgxklJGBL4TBdY9k/6DMtwpbVG6ERXnle6i5hxjFzUBPWRiwUXK4rSsg6wi7C+T3beF5Aml+Q2Bgpz795FB5fkyIusIb92XDWQh+DMrcgcx91Uxg3iRcJ1CWLMSjLFkBo0ifnwI9V2bKdv/ktp7MvxWY/ERZdpD5bwITC2TYfIwrTcoabVBlU/tAGVHm2K5eTeazhf1TaNqX9FC+1H9lAZ5w2yWFgz/c4OXNAkqcdsftqSncoPU9U3H53TbpnSvsLXRJg3ZgshBtDv+8F98SJiPUw2IGzMDsY2AofbNLIqGAUS5ZPiTLXwVWdAgX7HPBf5btZSGPrISWyF6ngFEmhN2sSgCFSJrkwSorhEE5FA7KE/9PJH+MBwmsptes3A+vwpFmCAqVVeghyY1yUgYG3BBWQ7jl/zSUvJcZUSjlPxVgZX9iCvyiKi3qmuUCWW4u3KIsKKCQDYowWDknzuX9lOzsJty3CIsSeELlNmw+xpUuHHVRwLTN9QI7IiFby8CkLiQUcMnTDxTg6hQuFHDmGKXHypWdhZBB6/vWFJc6oYi7pBHv+8NTfN6LPZN9EGOX/jlIeg5rBszAcBho7Zux+hlOdktXGTktVrcrCmyBMsg8UsAty6WVJQ+uRZBl1jNkQmk+p3LZWc+vCKxAnl25oXD/LrCyRLYRKENdvgzObAsj5H+twMo4hEH655Vfcp4w5i3UGyrPvMosw2NH6R0osMJFwfQEVtFZaT5JdgSFm+Xiwt5kXUkexwnXCGzJ9gS4z3mgBNhJ+L2QBYWOAkOmg4/lMk8WdkRYTdJmbKkzSaKN+e9JpVxUOBBnYyGONcI7txfvx01Cbq9B68vOS8hlMrD70yUNJqDsDFEXJo0PESjLkYLFDJiBBcQAimmYwsCSha90kQcKa1fmXfXkHDgL8dYq3OqsrEYZuFC2bCOiiBcL/FtAVtukgRtnaiGRLytgtqJDqDv53q9yINxqQm9ZiKUG3EpFhU+uK9vqSF6xVU7LPU6QbUOB+v+k8vmcnlulUEwgELZgs9xS2Ous1GGJwNnik4UoNxMLFHMI4VDQ/WQ6+GjK/3R5PFNAQR0l/E3gvHUfoWyLfu9c5rAMR5vl9hq0vmX7KLmJd7ztHWKCxy4D/3f6AIH39mzhjcLlgsUMmIEFwsCwFfAaBW+xxfkbucf26Rdk3ncK/J7y/9k7E3jdqvn/hyaaI1Olo1LRqF8RRUcDUcoUldJF6vo1GiLCPc03kkSUqaS4NP4pInHUbcBtUlGUHrc0UEnqp4z/z/vc9b33e9fd+9n7OWc/5zznOd/v6/W5e83DZ63v+q619nn2Vd5TBU4O6wgsWo8JnxZ4x4wB/rBgYvXuqwDylgnpOJVuWpZgjOGctjghDQlmfIuKvDcFspmwUzxBdlVelMfCKJ962Gjkhsrno68rtStIcd3mo6L6kT8eA7yv5nr2MGEZ4U1ZRubcoy7Mz7ksaVtvE/2tWwZ/BDhNOEB4m3C0wKbjecI/hJBgIBiYAgw0fQWdGy9OYZxe5ghcs90sbFTA65DCtnfhvLO1v/rlnexWLu57Ke5EPX+SwjnhYdR2EwYE6jEZloPy8nqXUNjZAqdzhOvttYT8HS3vZDl5jVWor0isfouzq2e7irbwFxdlzsKK6uCU569ayYJh40o6N8JfVxgnT6RpPhgDxMaVq3+7fUhR8x/T5bJbgT/KzbvaWcKGeUL5i+Ycp/uiE2pB9vlBTfS3Thn0+z2pVjYOXxUOFxgj5npIMBAMBAPzGah8kayUXKuS7i5hGwHDPihw7cdp1YTFnYX4rS6ME83dAtd3Jl+R49rk4WqOq1svP5eH+rzR5tRH2ElZWrxHCWwANkhxnPy5+vPvFDGEpDlZsKvJ9eTmVDwomOwgB/UQZ8I7VsLYALQT3ne3BE7vCO1ng+I3DHD3K+EWASOJUcUgwSUnLC95W1ZVJIv6xQIbCYzdkEDbPi+YkO5PAmNDfQjjcKewbPI3zcfqKpd28PqA63BO+uunuvIHbb1QeGqKWF5POPFzaR/5Ke8iwXg6MIX5cVg6hcGhl1vl8eWNpb9Wbp0y3qLE8GwbL+YaRpj2jEbgICQYCAZ6j4FGdLOqkA+o3xhQ0r1buEDg9AFOEVgAvWwrz1UCixDvKlloX7hwkhE/xgojxB8FvSiL58SAQfInPk4WtGGbLK15ue7jlAy4tmaRz6/MOQGfJ7CRoG1XCK8TTI6Qg2th6uFk9nYBg0J6wni/d4JQJhgKjCPc8Ic73xDo/z+EloAhR1YTvivwzhtDxaaADQbvLVuC9TE3wIoaueZm8/KQwB8eHSnA9SPCsGDyAjkYq7kCXHOzQJiXpvk4RoXzh2GM67FZXd67hTzfSeng6dcCNx7+dsIM8KYKHxb4gzn6sr9g8lo5qI+x4Ur+cwKnzJbARpA8swWTTvvLtXEuVWUwtsw9Nl30DS7YYDI3RiNV+jmaMiNPMBAMjJ2BRnSzkULG3pcooYCBIgNckKwvg8wA24m9LztZo1OhnzVIiiTBwAQwUKmbT56ARkWVY2PgDS47f5SE5FfTY6shcgcDwUAwEAx0nYEwwF2nuPEKDlOJ9gdanIC5bg4D3DjNUWAwEAwEAxPPQOUxeuKbOKVawPtvPqJxk8BfM689pXo/r7Pn68E7buYm7+L3nIIcWJdDP6fw4EfXe5qBRnSzkUJ6mqZoXDAweRkI/Zy8Yxct728GKnUzrqD7ewJE74KBYCAYCAZ6lIGJMMD8VpOfldhvXfnZTF3hZz/2s5L8d511y4h0wUAwEAwEA8HApGCg8hjdQS/st7obpzxH6VlmSKcpzn9Qwaop+7BCB82YdEn5YtU9Ap9kDAkGPANN6mcwGwwEA80xUKmbfBFqPOUVqowPaPAhDIQPW5TJNEU8LMwqSzCFwvlaFh+Z4AMeIcFAMBAMBAN9wMB4G+AVxdnjjjcMS0g1A3yxia9DhQQDwUAwEAxMIQYqj9GJC75rzH8kcLvAae0swf9HA3zakc8h8jlFPl0JNhdyeUqKe0LPvyc3aXdPCe0K+r3yHydwKuSnKB9L8f6xrjx80rEl3Cn8QCj7/rDl8z9x2UaB1wiPCbx79p855OocbgBtOVLg+8r4zxUQvsXMpzr5zwH41u9vhY+k8KX0pN2k51aAT1QifI6S/rI5IX6d5IeP/DaAnyDRXtrGT5P4zym8oYYTPo9JHZsIyGsEq3daCuPBd5c/K/DzJj5NCT4prExkidyncMrmuaHAJ0ZpJ2EbpDxV8+KOlJ7bDsbKhLH6kvPzuUY2Ivzm2X4H7aKnrBOuQ4KBYKD3GGhEN+sUwjd3MRh7JQ742D7fGWZxXcHxMlNuFus6MqxEfCc5FzPAcxTxPoGFn+8K006uuE1Wk4PF+nSBPzbDGPJNZcKeY4lKnvsonPIwvusJGMuDU5i9l15Ofgw86dhczBBoC3WYAeb7zWw6zPiRHoPov4OMcfaGR96RjQvfCPZCW2a5APsPFTBS9sd0H5SbGwa/sRmUnzZaGyiCmwjCpuFJcoKelwtLJD/fNKat7U7eqyv+iwK/yWUDwYbl5SkfBrjuvGCe8N9UmiwrB/3gvTfjZnKpHGw6QhYwUEc/g69gIBgYfwYa0c06hfBh+V9m/WMBJy8fjjBp0gCbkaNsDBCnI/7bOpNT5OCD+6u4MIwm/8EB7WgnZoB3yRLxH0NwkjWxzQD/I48J9e0gYOSpn1Oll6Pl4WSPEUQ+KpDO/9d8h8nPSdlLboD5oD+nTX9ChYeWgKEyGZSjjgGerXTfdPlwThPWyMJyL1xS/mYuYke5aVfdefEZpb1fsI3Em1NeyrXNBBu5G1wd4ZzHQB39DK6CgWBg/Bmo1E1b8MbSNK5MudbNDTCnGv4Hmu3GUnibvL6+/yjdfQL/p6oJP2/iOpxTnAlGmnbV/ekTp2wvXLFyiuWvkr1c6TzUd4mwtbC4QB4vXO1iuPmLcORMgXHYM/l5cJNAeDuBV/rC6dMEHmiz1e2iKp2XK8XuwjkCGwhOwmcIXG9XCRsBzxWnYW5B6s4LbgDYgNhpe2e5ubpno/J6AeE0Da8hwUAwEAz0BQNNGOBnJCb+UsAIxsHiC6LHFMR7Uy//lof3xybU+3yhlYGT6fILkrV15XWYsfPvtimgqO/Wb07Avg34KddOvHfL/WNhbwqSvEy4S+A9bTuh/KJ6aSPGkxNjJ8JNxXRhHYH3r2xoZgie07LyeH+bSyfz4gplpi8YW+p7qQAnwAzwLnLnV/UKCgkGgoFgYHIywAltrPJAKsBfhVqZhPFHPRMhtGuusOkYKseIPeryPz25eTdZJcbLvkpYZTjOUBquf2nrOwX8VUL5ZZxzpW2bBzYmiH+XumxB4VyXnJbA++IPCUMChvHkgvRVQZ3MC/5+AKPPyff7ws8F2g1vXxbWFOCGa/iQYCAYCAb6goEmTsCclPiDIf+HP5DDoonB4hQzGsGImNHgvepWHRbCe9C1BP+fuFPErsIhNcvKjTd/YHSbUHTyzIscVgB92CiL4HR6tuBP0RfIj8Hkr6n5K+ULszxFXng1ji0evv5H+JmAUUP4y2zE30S8KIX5xynyLJMCeNe6h8AGhj8sG410Oi8wtrSLsbENy0VyszH4lMA1P1fsCBsj/848BccjGAgGgoH+YqDyRbK6a3/t+o7UdYzMuQI/jfFXoTPlZ2GuI19RomtTwoP05N0ksrRAm7gu9cIfR53qAjBw1MXpza5R15MbozLo0hU591EgdWAAMHL058AUtpvLUNYWS3KUHLRhgxTAjQM/7bnMlWFOTp/U6fvgk10jzywXsKrcGFdOiLaRer/cjwt+M0SdXHN/XcBA84do3xKoa5pgcrMchzn/C+XmD9Z8f130fOdMuehjkdSdF+TltcA/BNrvT+ichmnrG1wFv5abq/Z8c+WSTBlnHf2cMmRER4OBHmKgEd2sW8ir1fGrBf4wCCPHKQ8jYcIfTXHK42qxJXhjsiDVAhcG4HqB0zV/fczpiAX9DwJt4g+8PidwOm4JnDb5I6vZggkn4POEu4TrBN41vm5BdKnLDDAn4GGBcunT/i5H3paW4lZy8eY8QI7fJNyo5+cFvymxdFvIQb94eqEPLYE/dHosuW1D8QL5OT3TtjuFnwq8Q85lawXwKgBDSZqXCNTFNfFZKfHb9eR3xKTjBExbOZG3kx8q0o/pEQWJq+aFz8KtBVfRXg6Xhz/G8saWNLSTjdFUl7r6OdV5iv4HA+PNQCO62Ugh493zMdZnBrjoXekYi47swUCjDExF/WyUwCgsGOgSA5W6aVeXXao/ig0GgoFgIBgIBoKBIgbCABexEmHBQDAQDAQDwUAPMFB5jO6BNjbZhPNVGH/gQ7//KOzZZOFRVjDQMANTTT8bpi+KCwa6xkAjutlIIV3rYhQcDExtBkI/p/b4R+97l4FK3Ywr6N4dvGhZMBAMBAPBQB8zEAa4jwc3uhYMBAPBQDDQuwyEAe7dsYmWBQPBQDAQDPQxA2GA+3hwo2vBQDAQDAQDvctAGODeHZtoWTAQDAQDwUAfMxAGuI8HN7oWDAQDwUAw0LsMhAHu3bGJlgUDwUAwEAz0MQNhgPt4cKNrwUAwEAwEA73LQBjg3h2baFkwEAwEA8FAHzMQBriPBze6FgwEA8FAMNC7DIQB7t2xiZYFA8FAMBAM9DEDYYD7eHCja8FAMBAMBAO9y0AY4N4dm2hZMBAMBAPBQB8zEAa4jwc3uhYMBAPBQDDQuwyEAe7dsYmWBQPBQDAQDPQxA2GA+3hwo2vBQDAQDAQDvctAGODeHZtoWTAQDAQDwUAfMxAGuI8HN7oWDAQDwUAw0LsMhAHu3bGJlgUDwUAwEAz0MQNhgPt4cKNrwUAwEAwEA73LQBjg3h2baFkwEAwEA8FAHzMQBriPBze6FgwEA8FAMNC7DIQB7t2xiZYFA8FAMBAM9DEDYYD7eHCja8FAMBAMBAO9y0AY4N4dm2hZMBAMBAPBQB8zEAa4jwc3uhYMBAPBQDDQuwyEAe7dsYmWBQPBQDAQDPQxA2GA+3hwo2vBQDAQDAQDvctAGODeHZtoWTAQDAQDwUAfMxAGuI8HN7oWDAQDwUAw0LsMhAHu3bGJlgUDwUAwEAz0MQNhgPt4cKNrwUAwEAwEA73LQBjg3h2baFkwEAwEA8FAHzMQBriPBze6FgwEA8FAMNC7DDypRtP+WyNNJAkGgoFgIBgIBoKBhRmoY2PbchYGuC09ERkMTCgDoZ8TSn9UHgyUMlCpm3EFXcpdRAQDwUAwEAwEA91jIAxw97iNkoOBYCAYCAaCgVIGwgCXUhMRwUAwEAwEA8FA9xgIA9w9bqPkYCAYCAaCgWCglIEwwKXUREQwEAwEA8FAMNA9BsIAd4/bKDkYCAaCgWAgGChlIAxwKTUREQwEA8FAMBAMdI+BMMDd4zZKDgaCgWAgGAgGShkIA1xKTUQEA8FAMBAMBAPdYyAMcPe4jZKDgWAgGAgGgoFSBsIAl1ITEcFAMBAMBAPBQPcYCAPcPW6j5GAgGAgGgoFgoJSBMMCl1EREMBAMBAPBQDDQPQbCAHeP2yg5GAgGgoFgIBgoZSAMcCk1EREMBAPBQDAQDHSPgTDA3eM2Sg4GgoFgIBgIBkoZCANcSk1EBAPBQDAQDAQD3WMgDHD3uI2Sg4FgIBgIBoKBUgbCAJdSExHBQDAQDAQDwUD3GAgD3D1uo+RgIBgIBoKBYKCUgTDApdRERDAQDAQDwUAw0D0GwgB3j9soORgIBoKBYCAYKGUgDHApNRERDAQDwUAwEAx0j4EwwN3jNkoOBoKBYCAYCAZKGQgDXEpNRAQDwUAwEAwEA91jIAxw97iNkoOBYCAYCAaCgVIGwgCXUhMRwUAwEAwEA8FA9xgIA9w9bqPkYCAYCAaCgWCglIEwwKXUREQwEAwEA8FAMNA9BsIAd4/bKDkYCAaCgWAgGChlIAxwKTUREQwEA8FAMBAMdI+BMMDd4zZKDgaCgWAgGAgGShkIA1xKTUQEA8FAMBAMBAPdYyAMcPe4jZKDgWAgGAgGgoFSBsIAl1ITEcFAMBAMBAPBQPcYCAPcPW6j5GAgGAgGgoFgoJSB8TbAv1RL/ircV9qi3on4nJpyv/BfYb3eaVbXW3Kgavi18CvhFmHbrtc4eSr4gJp6t8Cc2GnyNLt2S0M/a1M1YQlDPyeM+ompmMWmndysyH85/Ftu8uRhM1MhPCeDAaa5O6S+TBUDvGXq78ZprI7Sc3pyT9bHoBp+WEHjX6WwhwTra0GSwqC1FdpLBjj0c+pskPtRPwuVrE8Cq3RzsaZOwBioxRM4JSA+7OA+IbTfu/EKdZAbihtTR4/Q8yuTvNODan+RAX5U4X8Q/j7J+1en+aGfdVjq/TT9qJ+9z3oXW4jRHKv8XgX8o6KQvyh+yYo0ET3xDKyoJjzumsEtRr8K160v7tfOuX6FfvbPIE8l/eyfURtjTyqP0Vn5h8hPHq7qisSuoLn6myNwErlCeEGW+Enyc5q+TbhV+K3wEYHwKtlfCW4Qrhd4l3m6sKHwFIF3eI8J1L23QLmcgkg7KHixK+gtFHihQD7asmOWDu+6wneFlnCn8ANhfSKS3KcnvPCkLVcJT6SwDVKaqjJIto1wpXCdQN8uEuq8j9xe6a4WbhfmCmcJzxVMKO8RgVcIcAQ2XxC9kIuN29HCtQmcmM8Unl2S3oK3koZJpq0AACAASURBVINyMewnCZ8U7hHg/2LheYJJnTq4HodT8F7hSOFPyX+unucL9Ok/gvXpZLn3TH7yUYaXteUhH6dj5hDz5HBh+ZSIePLlnHdz7FLVhQ/a0omEfoZ+djJfIu3oGehUNwtr6rSQOgrOu7fvCC8TXimwS78sq/14+Vk8N0nhLHB/Fo7N0uVeFkZO3GYMlpX7csFfQ54l/9+Ec4SVhRWFswUMwfMFEzPAP1LAGwTa8n2B8pdbkGyx1eR+QDhd4FqfTQILPWHPSelW1/OLAn3H2GBIXy7Qpw2EOmU8S+nYBNAuhLpOEC5J/rLHaxWB0dsrJeA24gLhDmEFl8k2R2XlWDic0o81UwAbm08JbCrqbJAwhlx1f0hYWlhLuEngj74oC6lTB2PAvGCOsoGYIbC5gftzBWRIeDi5/YN6cwO8qsIw4F8W4BZ5jQB3bMKQIgPczbFL1ZY+Qj8XWyz0c+HpUUd3SidURDTGQKe6WVhxp4XUMcCUidExYSH+p2CLHkYL/2ddGpxHCxhJDGaZkGauYAs56Th5+b/mxQBzbb6KKwRD/LhwqgszA3yAC3uJ3LSfjYPJKXLQXl8exuH/BIyaCW7ybubCOE1Td50ytkv513H52Wjs5/xFTv5Q7pdZBEaPtnC6M6lrgBmnAZcPp5XnxzVLMt+LAebGwcvr5KE9u6XAunWYIeUmwIRxYOyQIaGuAf680nIr8fR5Wef/ywaHcUeKDHA3xy5ryiLe0M/FFgv9XHha1NWdRSZTBDTKQKVumsFrtNYahWHoMAomf5RjccEWvq2TnxOVFxZtFlz+GrBMrlAEJxLyvkPAWM8W8hM2V4ycPk040d0qcCrPxRsv2opwGjXBuN8u+PI4YXPC9Iaf9CzwcyyjnhcL1F2nDK56OTnSl0OFNYT7hNOEMsFAry/kBpi2PShg1DsVrnQ5eV4qtBKGUyF2Kq4q03NAWhtr47/TOriWN2EcMJqdClxwGwMvXjDmv2hTWLfGrk2VXY0K/VxA71TVz65OsCh8HgMTZYAxIl7+nTxPSc9npCcn4JYDfvI+M8UXPX6owFcLnHpOF/gt7zeE/FSTt4GyMIT+vShhiE+bt5V42svVdSsDJ3l7d0g6pOg0RnidMjAsnMQwwDOElvAzYWOhTIxLrs1zob8Wn8e187NB4ir+aoHT+IBghpPr7TqS8w8vGF3jv9M6ivpXpx0+DVzASafSrbHrtB1Npc/HJp/zoZ8LdN3reD/pZ1NzKcppwwCnzl6UB1Kj9tXzu6No4I+VB/BOj+vZw4RlhDe5svy7TwvGSN/j0tR10l6uvTetm6EgXd0y+KOxaQLXbm8TjhbYdDxP4Fo9F+OSa+5cCOPda6fCNTGL8pEC70dHIzn/K6kQNoTGfxN1dNouuKIdnUq3xq7TdoxX+tDPcqb7RT/LexgxjTEwUSfgqg4MKwHvVDfKEi4hP38sVXRKtaTT5dgiebgu/oQwS+CPc7xgsPypGGPEtSqnuk6Fq9i1hKdlGXeVn3fidaROGVy9vycV9qieXxV4h8t1uH//7OvjivoWYXMfKDdXxfSfjUqnwjjk0m5M8rT4883Ky1Mi47+JOiiSeWR/GMZ830mwm5ZU5fwHXMBLboS/rjBuVcqkW2NXVt9Ehw+rAaGf80bB63g/6edEz7EpUX+vGmCMBn8FzSlvgzQSnNaPEXin2e6USnpOvE9N+bgC3kTg2tYLV5YnCJzESHOywEtz6u1UjlMG/jhspmCL+3pyf1q4oWZhdcrguuujghk76kLpbxPYbJQJ74vhgHfiCMaNnwDdKXw+hXXy+F4qA+OPceN2YaiTApSWa8yDBa6sBwT6/2vhHAFpog7K4V3/sgLjzNz4mmBXqsR7oQ2PCDxNN7g1eaVw1cJJF8lXNf6jHbs21U5YVOjnPOpzHR/tGPeifk7Y5IqKF2YAo1RXrlNC3qGR527hM1lGrkp5v8QC2BI4NWJUeXdCnruEtwgmGODfJNyoJ8Yiv7p0yUecnH75iROnPowfi/qJgj+dniX/HGEn4WaBv1Ym7aBgcoQc9i1ojNvbhdcLtJG20mYMuAl9OU8gHh6uEPjLXpO875SfS1UZ/HEZHNBm2ksfMVic2qqEExynyzuEucLZwqou0y/l9mPDrUE7OUiRlMVmCOP0AQFe+BkPG5F2wtyAu48ItAXjxTtlbiW8VNXBz6swsNTLH061hPz0ykbsIoE/koM35hdj6fOZ0VfwyO/RLxBo1/UCGwHCEPpI26mPufG5ecEj/3Zz7Fw1izhDP+dtPkM/F54aVbqzyESKgMYZ6EQ3SytvpJDS0icmwgzwxNQetZoBDibGzkDo59g5jBKCgW4wUKmbvXoF3Q0yosxgIBgIBoKBYKBnGAgD3DNDEQ0JBoKBYCAYCAYWZqDyGD2JCHuK2sr152MCP9nBzbu7kPFhYKvEOT9d+pvAu/KQsTEQ+jk2/iJ3MNAtBhrRzUYK6VYPo9xgYIozEPo5xSdAdL9nGajUzbiC7tmxi4YFA8FAMBAM9DMD/WyABzRwPxD4qc7vhG9NooHkWrwlPCFU/RyoyW7xMyfq5VvA5zZZcJQVDHSZAf8TMX5eGDLvG/h84vWBSUAGPxc8VbCfnfKTSb75MOWl8hjdowxdqnadn9q2op4YYT4cwW9X+fiDyYAcQ0Ldwf6R0vIb2qZkQAUNCUX1X6Pw8TTA1qfZckwFA1w0H5oa1/Eqpxf1k/nM7/Fz6Tbfa6tC+AgDvID5o+XstgHmq3bw7r8WNyg/H0SqK8wNvqHAR334uM/lwt4C35XYOCtkSP6i+ZUlG/F2e84V1WlhlbrZrydgBpA/+GEQEXaBGwl8rIEPMPDRf5MBOWYIRQbQJZvv5KMc9xZFjDKs0/pHWU1kK2CgaD4UJIugDhlAn4oWyOC7QyInSXL7z3H4Ip/JoBydGOBXKP21An8gi+HaXuA0zHrNh3q8lM2vLNmIt6fnXL8a4KVE/NLC425EGMRThW0E/gp3tPJOZfzgaDNHvp5ioIn50FMd6vHGBN89PkCjbN4uysenfjGWoxVuKf16zes3/gvQFwv8BxejlUk/56qO0dPFDGnAe4UjBT5HiN+uMZeVm28ttwTIvEnYWzD5Xzn4Bi8nU34aNJgiXqon5aya/C/TkxMoPyHynw9M0SOPPQXKIN9fkpv3v6cI9slLvuGK8A1WC+PTguTjk4xlws9maOd9LgFu6uLJVckc4VGBT1HaJwxd8oWcVfXbFfRuytUS6M9ZAnx64cTPOzB2oLcKcMxnHgmvEnae9IsNCjvONwpFV9DLK/wLQkugfPLsLJjQF24G4OLdAmPPzQNthns2RAjc23yZJfeuAq8H+DypXZXV6Q/vjD4rMJf4ZCTg+9YrCyb7y8EnO4n7lXC6sGGKLJoPlu8gOeACPnllcazgX1t0MuZs+K4U4Is28FnMJq9I4bKd1B0XythSuEAwPtGF3bPCGTMbP/STz77ykzLCPiOY7jH2uMGAUIdvPhvL50Ipc1BALhbQOcozGZKDuUKdAwuCF1s7hXl++buGLwl8ypYxYD4MCWzSTdr16QCXzjv9HGBO8TlWjAZt2iAl5BR3tcBnUOcK6O5zUxwP5hbp6dt3XfgP5KbNJqx1cEyfWQPLZHVFfE/g07qsk/xHNMcIplc+X7s5nutou/VnQIWivzxNzpfDr+fMgZNdvHfy9y7Ewx3txt0S/Do+PWXgVpN44ww3GEjx+aNozvmx3kIZLhQeE1g3d8wLGKO/SjdrFV9VyHIqZV2BdEzwGQITEsLPFfjtLVfBcwT7Ti+LPgv+gYLJXnJQhv8eMJOHsP1cOgaBidxOlk75bOAs7Q4pnAlmMpjCNnFh7ZwzFXmfS8Ck/6LwkMDCgYLw8f7fC5e5dGXOQUXQx6L6r1E4Bua0FL+HnkzUjwtejpeHCW9lMB5sLDAc7QSumfTfFhgbcIaA8jJ2JowhRoTFy8bwzXL/W4BTk7XloC/kJ3xxYVvhrwI7UWQJYUBgkadvs4TNBMafNiN1+nOC0jGvKA9BkcmPUiE7CRj/Zyf/snqS/rDk51E0H+CMsdwopWPBZMNxnstXd8yfpTwot3H0ZLlp9yWurLE6q/ST8uuMC+loG0aUdiLkY2Pqx3gV+fcWqPenAgsl+j5bOEBAiDskuf2jHd8bp4TL6PlDwXM0JD9Gyssb5KGeARdo/WTsTXBjHCkXWV4YFmYmP486fXLJR5x+DrBJYKP1coE5uIHwWoGbNuY1wgaOzc0dwgopjAf+rzk/8/Rx4R7Bb6AvlZ/+lQljxgaPTcwLhKWFg4U7hQeyTFVzPNfRqvXHb2asqiE58jHLmrGQ9xr5WAu80AfGeHoWXja/smQj3nzO+bH+keKZR6ybfIue9QJ71pTQzjFLnUKMKHb3JnSUzvPxe8rIdxdnKoyF+Wkpw8p6MmFNiQnGoLMzYYKbcMp5q/MXOcsGLh8M8g4KtM+MV1F5PmymPPdliQijDBTP5MNy/FOwxcxFLeQclK+s/msUx6kSQ2bCRPmJ8z9HburhNOjlaHnY5KyYhXvvKfL8Q2CsTEiPUT7Xhe0qN218owvDyaJLG01sAWQR98KY0UYWLRPysVgxVibvkKNuf6j7my4vzmnCGimM/s8V2DyYsHljQ2CSzwer+1MuDc53CfSfE6JJnTHfLuVbx+VjQ+A3lC5qVM46+ll3XGib6aM15hty+LlAuPHmX8WgP3a7QJsOKehNGd8nZGkZJ38iHJI/X8xZOKlnwOW1fu7kwlhQ/fwm6t1CbpSq+uSKnO+0OcAG0oR1jrWMk/wvXThONom0+XAXjq6wybF1go0teUm3eUqHwb7B5Slymo7ukkVyAvd97WSOo6P3CYu7Mjmd+/WnqC2EDQn5mJWlJZy6ZmUJlpYfHqZn4WXzq6h8G9f1XKSFeVvDbQ7lcnhqSip1s8o4dNoQTkkmLK7sYlmEkHwy/kJh7EZtknHqIP/O85Iv9nw92ZF8S9hGsIUB8po8QaTqxvxg14rimNwtBxP36WMsGcVjY2LC6ZKTlcnWclAPu3wv18vDBPZGI0syclq/XWCsTFAaTu9ezGgV1fESJcx3jXOy/OSjjX6hIgkbLHgzYVNWtz+XK+3uwjkCc4Jd+xnCHwTkCmE1gbox7CsKs4XLiCwRq7torpLF5rJlrxrzG5WQTSZ1HiqsIdwncKKYCKkalyfUqCMFTlJsXloChm7NksZ6fWeecqPRiZTxzTjZOtBJeUVpH1Pg24SfC9anmXKjl6w/uXTaJzjzvF4s/5LC+kI+jzjtPij4ecRG45nCFgJCvz8gsHl+fQrjNF215qHLCAbXy7WZv4xz1mMkn+OsI379uVt+v/5kxU8qrx8f+oWMa9+aNsAYzFyekQLyOAwuYvG4mYxMEBZ0JiL+7wkYku0FrlZZwB4Rek1YaL38O3n8CWw0bS4q15dp/HECbjngJy/KXSbshvNxIW2+c7U6WMRaDuy6GQtOTl7yNttY+/dfpC+qu25/OEVMFzhdsitnXswQjJsfyv1qgb6cLnDK4DTXbkPUyVxVUSP8esnHnI0NGxQMMG1rCT8TNvaZxtGdtzcfFzYzbxEwWLyeGBC+LWBQiqRo/IrSlYUZ39aOsnRjCf+oMn9GYGPBBmhAeF8qsKhfnfYp1xWKLptHxNFXv+axUaROjC1zl5PYjxPMAO8iv78RkHcRQZeRvP15+8raVrQeU14+Z5jjY13TUlMn/OH7luvuuDSuaQNc1Gi7/uBaxov5/fUIkwyl4ETD5MN/ncDuBINsRlnOkMSA8bev/AMOnP449WF8yuReReTjQlryebE6NlLggAOGl7S/Wzj5Iv9nsxm9e7J0Rd66/fmvMnOSxJi9WMDgDgn7u0JZyF4jYEyOFzAsX3bxubOTuZrnLfPz/niaAFf7CGwYaGvR4l9WRlPhK2QF+XFh57+twHz5TVMVVpRjfK9UkY7F8UlZmmUr8lj02+XgRM3JlDkzHlI2j6gbffNrHqdLNpCsbbxDZpNLf1n7NhG4fdhUuEZoJ+gykutzmS7n6czv29auvohrgIHxMMAsgohdNVuz8bMD8dcALOS3CnsJKOWdKTGn4B2FOjvBlKX2458ppSk4V7btTo21C66ZcKz1D6seysA4euFK9mwhP3X6NFxXrSWs4gJZpPMrx0tTfF7HixT+JV9gcrNgeGFhYaGZU5A2DxpWQJ3+nKJ0y6TMN+i5h8AV44YpjNOxXetxbf8JYZaLT8kWenA6pZ1Fc5WENpeL8haFMZfekyIe1fOrwuECxs5zXpS3G2HtxoX5UiTt5k9ResLg0PRpPblfWJLQ+N4si4e3c13Yn+TmVmwpF8bcqyNF/RpNn+rUZWm4jblFyOcResWmJ59HGFv6c4iAG7lIYMPwKYFr8f/MCy79F11G7CraErI59dL0HM+Kn+9Fh20OYGd2Epo6OdedX2Vt65nw8TDAF6i3XLMMCbbT3UruXYWPC/zBjxcmIKdf/84DA8yixYLLItukWHmrqVBOJSj+eC6OY60fZed0d4CwQSJmcT2PETh1tTt1flLxTObPCRheFrmTUpge8+VCuVDc4wQbQ3bW5LvLpTPnq+XYRmB+DQqczjE+RWktjz3r9mdrZTjQZWaRZ9wuS2FwcZjw1ORfXk9OFBafghd6cIpgwXuXwMka4WqPcs4XWAg7EfJ+VLAFnwUI43KbwKZgvKXduHDLxEbmnQJXtcj2Ank6lT8oA/qEHCswF4rE+H63Im3jxDiRh/lmwvqB7Jme6+r5GouseLJ2vELYLqUb0NPfklRkH3X0ocrJfOPvDxA2Augbh4rPpzB7cALGYHHI4HYEQQ84nLxJMKOcogof5yn0JgG9X1OgPjahtiZYpqbneGFjFMgcWFZgXaENXxM42TchdedXE3VNeBlV1zavVQshhHQPCi0hv1JiYT85xf1WTybKNKFIWKAoi3chJkvJ8TfhSBdW5ny7IvL2cBLCWNwvUDaL3wdcAUxa8rBrRfnLBIXg1M5Eagm0FYXxYWvJT3l/FqgLo/MWoZ3k9cNfS3hCeEygXgTjAQ8oa0uwRY44DDBXh+BGASXPrxxJlwuL07XC34Xbhf0EruyotyXYH7+hTBhnwn4lXCe8X3iSYLK2HPR5N+HrAvPhL8IpwtIpUd63lsKZQ7lU9Ydx/onAXMJw0Of3ukIY8+8IjCnxvxZOFKw/7ebDwUp3q4Ch/L1wnLCkYFJ3zBkfxuFmgTbQlnMEFsimpEo/qafOuJCOdl0sMGa09xvChcI/hJbAhu4IweuRGQwFzxeMBrwxTzjJLSPU4Zsxot5D5pe0wMFmCx0FtAtjTN/ZODBX0GfchNE+6kOo+wsCBo21h/Z+WiDdXOENQp0+KdlCks8BysiFzcvVwh0CdZ0trJonSv5L9cQQezlcHvTS5mwWvYiX+Yax5lBzr8Cae7xg65XfCLWb47mO1ll/8saw8WXsWVOY/2VrIOtlS7C1Djfjn6/j6I1J0fxy0fOdRXMuH2vqeb3AOs2cYN0+oaiwUYTV0c3KYhsppLKWSNAPDNhCv1M/dGaS9KGOfsa4TJLBjGb2FQOVuvnkvupudCYYCAaCgWAgGJgkDIQBniQDFc0MBoKBYCAYmHoMVB6jpx4l0eMCBvijE947MV8eEHjvG9J9Bqr0M8al+2MQNQQDRQxU6WZRnkXCGilkkVIjIBgIBppgIPSzCRajjGCgeQYqdTOuoJsnPUoMBoKBYCAYCAYqGWjCAPs//4+/fq2kfFIn4GcOLeFx4dxJ3ZNovP/5x6xxpCPmUPfJ5ic7vAbiBLZs96uLGrrJQOUxWpU3/TOHaSqT35L2mwyoQ0MCv6eczDJbjc8NMB+q+H+TpFODaudhk6StVc2so58DKmRIKJp31yh8PA2w9adoDlX1dTLG/0iN5ve/4y37qMImDfA0ldePa3I3x6VSN5s4AXejA/062AMia4ZQtBB2g8fxLPMeVcYfYU0GGVQj+8UA1+F7QIn6dd7V6f9EpuGjP5NFL9rxNE2RYYDbMTSKuMVHkSeyBANFDBxQFBhhwcAUZ+CdU7z/0f02DDR9AuZ9wxkCn7LLP0FozeCzg3za7HdCS/iywKfPkKcIdwsvE16T3Ph3F/j8HJ8r49NshC0lIB8W+MScCZ9H5P0Hn2zEjTxJ4F31bcKtAuk/ksKJN1lXDj7l1hLuFPg03PrzY+dd1XGtALYQ+Ewfn2ykzB1duiInPwexz6nxGTv6AA8vFvj8GWXyCT3ahSwh/FXYI/l5kIfPArKrNtlejqsFPvnG5+7OEp67ILrUxTdqLxfmCHz+78fCZgWp+VQln52Edz5z+caCNPTjEYHP/ZmwuTta4DOXgE9FnikUnf59H25SGj65+S7BS7t5QzrqhkOeGwv061HhCuEFgglX5cwLvjkMn4BP9vWrlM27vL+cbloCesscyt8dwhefdCQN+sOc2FmoI3XmEOVU1cHYPSQwztsIXJ+jf3yecn/BZLocpqd8nvRI4U8pzF6d1FkT+JziZwXm5PUJfM95ZcGEetEf4n8lnC5smCLhKNcLy3eQHOgTaxKfquQTuPa50/XktvbzeqBqbKzMouc6ChwW0IWcJ0vfTrfarcm0m3Y+LLBumrBufsn5WfdYj1mXWduRqrFOyUY+U8v6UmQvSFNX7628SfeE4CpZWwlIx0TdQWDx3VbAgJzqMu8oN98ltcV1ObmvElgk/WZgWH6MWy5fVQDfmPVypTzUjfE0+Zgc+zj/8XKjCJukMNJi9Jj0JvxxCBMEBaItKCgLM2HPSYlW0XNvgfp4t8N3ZCnz+wILF/1pJ4OKJK+1w9KunsLtw+2EY5RI+y1LpOdSAkprwuT8l7BXCkCBLxBQjBXmpyp2YKC8Md1FfvrwLJf8eXLzXdlvC2ySwBkCGwBbyOQckZkCymDCAs5iuWYKQJE/JTDecGtifbC+E3eU8LhLU2fewOEXBerkG9Ao+isF5stlriycQwKLRj9IHf0cVEeL5h39x4iht6cJzEs2fE8IHycyCWOHnt0gMAeQNwvoMvreTurOobp1oNf0hXavJ6ATB6cwDBWCHqLjpMMIzhAwiuizzds6a8IJSn+5sISArCWwbrD5RnYS0BnbVDLnSX/YvOiRf3O9IIx1h3m6UUrHhplNzXnJT30DAka9amxSlkUexhPGsIwnMtXRLdINC0VrMmvN10iQBA7Q3XsEr+d86xo7gdQd6zpt60TvU/Xj9qijm5WNqVOIGeDPZKWxW/ynAEnILQInIS/byUMdXpGH5S8abIwEaTdIBWAQKZM62OmboJxmSDCexLOT9XK0PH8XVkyBp+hJOso0QZExQCiRCe2kDQe4sJemMBb8djKY0uUGmDwomy0O+D8n8BFzFHxxAiSvEziFmBDP7tALiwTtOzwLz71mGH34XfL4fsEJJ27PCXzBiW8rZeQLDZuYASKcWNts/IiiD3OydCyq97qwuvOGNvj5QREfFhhXv8Ebkj8M8DyC0RW4tjlGKBvKn8yLHvl3VwFe/YaN8NkC+dtJ3TlUtw4zLKwFXn4hz60uYGm5afNFLox5jP7WXRPo3zddfpzThDVSGGvIXAGDYrKVHNs6f64XVjebUS/vkof2bukC4fY+wY8NBtWPzUKFOE9dnurq1rDKLlqTWfPvF0y/2Jih0/Rl89SeFfRk82ZSd6zrtq2u3rsmjIsTDtqKX5TaJqwZmS+knHaYPFxtskt8kUCYFwwP4iftwikW+NhFYTR3TkE76cnpDEV5fQpjgv9HYFIgWwu0oahelNQmPPVzjcsO14RrE3Z4RW3zhu/ulMGMviuitpMrnFcLS6Yc2+j5QQGDZ4adfttVD3yuL+QGmPY+KGwntBPq4XR9m8DVVEugTG+YOUXmnGC4OFVWCWPAKYQxayUMp0xWR1kfOIExjkin84bdNwuACWPD+D/dhYVzYQZYHLlJMeGGw89lm/9FOvQSpW1381N3DnVaR9Faw3yzE7r1hZO7Cbp9iVB3TbhcaXcXzhEw3JxMzxDQF+QKgZszeHmHgK6yFuU3LqQ1sbpzvWUDgeR6y/rox4b53Mk6046nTnXL+uCfrEfPFLZIgaxRHxBYp21N5pYL3k3qjHWnbZuUes/C1KT8NSuMaxaEK5ZnJDcTmgHxQr6Vs7AiLycvJjcDe6zAYA8Jjwr2boYwv+u1ejkBc+1kQt+pl8mDkG5ZoZX89iAMg5aL7ytXcchT8kQd+JnInxBeJbDr5UrqxwInYPr7U2FQOFhArF/E5wLvFp/HWd5hOa4TXi5Y/zC2tgEgHUawyNjWOT2y0HCSOkbYUeAkzWJ1l2B1WBttnihqEel03uRzsImxWaRRfRZQxJmfyzYGP8/6zQaWVzsslmxWi6TuHOq0jrzNfq3xOlGkH3XXBG6RMLb/K3DypA6usY8WmFc/FNg0HyqcLmAoef1xiFC0Zii4VG+t/bne5v2k3k7WmTy/58muiMeyJrMJsTWK+fFSgdM8axfrFmvaLgI3eiZ1xnqplLhu2/J+Tgq9b9oAr+BIxmmnjnvkfiDFfU3P92fpOvFiqE4V1hDWEW4UHhM+LbDQY4A/LJhYvfsqwE6PLnqhdHPl27QochzCrlUdnDxoPwaYtqLQGDEm8jeFm4UnBMT6tXLy+wdhNxWEWxA7UHbRbEjKFgrScjVZVD47fdrYTnZTJEpwpOB38D6P9WGlNgU1NW/aVBFRFQzYGGykdI9UpM2j686hTutgrXnUVebXmrwNub/umsAV4mkJm+j5IWFIwOCcnArF0IBVhf2Ew4RlhDel+PxRpremZxaf5xutvx1PZuTGsiaj22xOWLdYqzDC6D3r15cFbrs2Fa4RTOqMNZs6ZCxtW1Bjj7qe3HC7INoLpysGaI7Ago0BQYlzGVLA9i6Qd3a2O+O9zVYu7nsp7kQ9f5LCb9fzNwKL/oBAPSbDclBeXi/XSWcLMjoLwAAAIABJREFUnM4RrkrXEp6W/PbgfQU72iaEdiDWty3lthM44fRtJ4GNxEUESJjItAvFxm0Cn7wjsfcsFs6EZzFiUSgT+p4Lu+r8autqhVE3Y2CCQlNHlRTVYVxbXuvDZllhLGDUTb2dzJuqNlm8n1/oAJx3cqqoW0+vpKuad1XtRDeQXId4pfSlisx151CndRStNbepLUUn3ryJwwqosyaconTMRYRr+j0ENukbprDpem6R3GyeOe3NcvEpaqHHz+RjTcz11vzt9LaovKqwdjx1olteZ9BLvyazLjEXWCdtjWL9YgPzKeFK4T+CSZ2x7qRtruj+c0JilaytBKS7S9hGYFEbFLgW4LRqwnUNA/lWF/YmuXmvYdcSRH1F4ESIHCSck9z2YJdFfd5oc5oj7KQsLd6jBAZ0gxTHyZ8ra66zTTAOpDlZsMV4PblRuMH5qea9C6Ie4kzYrRHGBqCdrJ7ScaLlGpbTwfouA1fzlDPbhS0vN9e3KK3t8i2a9IS/IwVg9M4Vfi/ktxGWh+eqAqeHiwU2HGwIhgTq/rxgsoYcXPuzqFDecsLpwiMC9XiZKQ/8mewiB+XNECifhYwdMmFvsUR6Wh/ensKYO9xmnOfS1J03eRsogjGhTttRE7anwC6dPmFU/kTgJBX6ViXt5t01ysz4ekFnb3UB6MOwcIVgtxXcgqA/H3fpipx151DdOvZRJfSZBX5NgTl/YArz+rd0Cpte1CiF1VkTbla6w1z+F8qNPlg96MqFwlNTGnT1VwL8mRTNyWMV+ZCwcUrENT2bBz/niaozNlZP/jSeMH7teKqrW+3WZFujHlddy7qG2Dr9hqxxdce6btuKOGaMcr3POeq2v45uVrahqpAPqAQMKOneLVwgsAsF7CBRBC/bynOVcKdwncAEZmJ7wX+9cIvwC4HdlZfD5cG4+1PWlvLTBjYARXKAAjklA66tUR4WYC9ryYMS3CXQNhac17kER8h9v0A97HgxGhhT0hP2Z+EEoZ0co8g/CPQNRfTCldDfBH+FTjw7xssXTjrfxyTllHGHwGbhbAEDWyWMw7UCC8EvhSMFxgTjOiyYvEIO0v1duF3gmo0NwmNCS8CAI0VKcJDCadc9AmPOXIEnDB7pTawPlM/YfEFYzsXjrJo3vI9jTmBYWwJjCdeMCXUyRmb4WTBZwKmPRdZvCOSdVELf6kg+7zCkLYFXGowlcwDBqDIH2Si3hNVGQuctrGxuCcPIoB/vF+w2hzRlUncOsXhX1WGGZVOlHRZoK/N+f1c5mzp0DG4eFFpC0WuOqjUB/eaW7SbhBoG5+V7BZAs5viOgy8T/WjhRMJ2AUz8nWaNMDpaDTQ6Glw3zccKSKbLTsZlfaHKco+cDAv1Hb1hDHxVynixflW6RrmpNZo3iKtrL4fKwbhgfPq7OWJO+qm2d6P3Creu+r65utm1JI4W0rSEi+4GBIgPcD/3q9T5MNf00A+xPWr0+RtG+qclApW4+eWryEr1ugIGnqIydXTlcMbPrDgkGgoFgIBiowUAY4BokRZJCBrj+570Q73+WEl4lXFKYMgKDgWAgGAgGRsVA5TF6VKVGpsnOACdg3pfzjpd3YF8V4lpw/Ed1Kunn+aKXv1mgz/wNBn9MFxIM9CoDjehmI4X0KkPRrmBgkjMQ+jnJBzCa37cMVOpmXEH37dhHx4KBYCAYCAZ6mYFeMsD8bKQl8LOIWb1MWsNtG1B5/Pk+17i/E77VYfn2U4f7OswXyYOBycIAP4VqCfzO9NzJ0ugeaedUXR8OFP/8LIyfzLG28nOmSSmVx+iGe1X04/OGq+ip4vj9HO+2ED5ugBEukgEFDgnPLoicij8B4jeGvH+2304W0DIlguro54CYGBKK5s5kIonfn+cGGN35f5OkE4Nq52ET0Naptj7we2v0wj50cpTc0yeA90rd7KUT8ATwM+FV8hGDrYTLU0se1nOjklYNKHyGMNkX0ZLudRzMBxb42IL/xF3HhUyRDAPqZ7/OHT7ycu8kGcdBtXMiDPAkoaexZvLhFz6AwodTED6gxC82ek4W77kWTa0G8fOdpQWu1kz4ckxINQOnKgkImdoM8DWrkGDAM8BNol9T/9Wr9DR1Al5THeQTlOw4+ITklQKfqUMOFdihchx/t8AVEie9sk9VkgfZTWgJpDtLyH/iwu9P+WQhaX4rXCfsLJhw5UCdgM/HHSnwCUT8do3FCZTPI/I5uFsFyvmI4D+vx2cLPyvwOTr6Bj4prCy0E9p7stASKJf8e7sM/ITi9uQ/Ts+7hW+5eO+EQz4vh/DpNdLapwNT8MiDK5c5Ap+du0J4gY+Uu05/sywjJ3TqYxLzmUD6zqmDjcLFwvMEE95Dwy/PDQU+P8k7fcI2SInW1fO7Qku4U+D99/opblDPBwTSM1YfS+Fv1JM5xDexuXI8RfizQLr1Uhp7HCTHbwTGlCvqYwW7puaTePSFNl0omMApnzRsuTCc2wjMZeYW75L4fOVOWZpe95bNnf9Vwx8RuEGAk8HUkZfqCa+rJv/L9OQnP3Bvc5Co7YWrBebwXAEd5XvqVcJ3y7nxYZ7y+cYfC5sVZOIUA+/MM8aTOZALOkAfmG8mHCqOFvh8KmBNOlMoujnyfUA/+QznuwQvfNaSeng11BK+LKyUEjD34ArMEtqtWcxb1kTWLfgGrA9l0m7d6UQnfflV6wNpO+nvrkoPL/8W0FuTdmVYmv3lYPxZT9Gt0wXWjCppp9/kZc4wt1cRjOfNqwrt5XgmV5WgTBgRk13k8Ce5teWnHBR5BwEl4aU41wT5KeYahaEMpwmbCHsILJgfF0z4DSoLIwNoyvBmuZkIlI8sJ7DYUy+DMkNggJn05wrI8QIKTD0I6VnYWbRNTpCDBWOJFMAfi5FmiwVJFnHRPltkrH0sKHDCHweYLC0H7ZvuwsqcgymttdWnmynPQ8J3BBbMVwp8X5YFxUud/mZZ5nuZzIzXhwTaDQ+M0y0C/UVWF74o0BaMMwbs5QJ8YYBXE1BUlO3JAhsCxoOw5wgIaRhHFisvb5OHOWHCOMPdei6McaPujVIYBoHNz3kuDc5hwRtgwk4SWjiSPEvPxwSbT7SXuXDJgiQ94aqjn4NqKenyubNXCvebqGNS2H6udyz4Zzk/CywbMvIjbHAuEO4QVkhhZQ/WCm9MWSv+IsC3Ce3hPz34toD+gDME1g/TXTlHhLl/n3n0XFZgDqyZwpibnxLYDPqNtfWBDQFC3FGCPzntKD9z0YwyawrlXCEwH1gTBgSMSNWapSSLDQkP46ghddadOjpJVXXXh077O0tls3liHqDjSFUZpNlJYMxtU8SYsV4eRmQbqavf+ZxoU2RXo+roZmUDqgphErKL3jcrCYNnYgb4M1kaTlP/FFi4Ta6R414BI23C/6LzE+dn50W7vCITPVsgv8nScpCOk4sJO6MdBBZ86v6si8N5tIChXDGFU+Y3szTT5F8jC/NePu5PvUxGL2fKgxHjJIZY+6b7RCXuQYUXLaIkZ8IRt4HLi6GkfywUSN3+uiIWcqLsLDReXicP9bLzN7G2+FMNPKwsnCLQJsbAhEWNxZZ8Jj+S40bnx4nhY3NhwhhS93opwPrHYuuFxZN0W7rAYbmrDPB2Kd86Lh8LhjdMLmrCnPStSgaVoGjuMCYY0gNcAWxWbxXYQJmgp291/pvl/qXz42RDRh2HZ+G51wyjD79LHt8G5gknbj9P0EfmSZUBZr4P+MLltrZ5/aAPc7J0S8nP2mNyixz5PLR5wfwzuUaO+wS/Zv1Afr9mkXZIqGuA66w7nepku/WB9nXSXwzu0mRKYhuZOmUcrTxzBdu4UwSbvG3nl7aooxP9Zi1hPCZaKnXTFuexNJQFlQmIcT1R+J9U2BEFheYTnt0kkza/grpBYSwMJux8/Q7ZBor8XjAQLxFY1L1wWjZh4rCYby1Qd1EZTCxbsNmZ7S6cI6B0bDjOEP4glAlKiuSL1C8UtryweVnGMYSzc2dRMYEz+vf0FFC3v66IRZxF40cibxjxPyH4tCzmnEoYt9sFxsCEq19OTl75TpefU+ymKdGqerJJu9oyFTytf0Wck9zGpCBrYRALL5uly4RDhTUElPq0wtSTM5AxQTd2Ts1/vp6cTL4lbCPYRpF5j84gbELWF3KeGcMHhSqel1Qayr9NQIdaAmV6w8x8yucJhotbnSrhMLCucKnQShhOmayOsj4wb1noEdK8SChaH4jPjQVrj1+zMI5+zSJPJ1J33amrk1XrQ6f9ZaNGmSZnylG3jCuUdjUBbjHcbK5mC+hamTSt32X1jGt4EwaYBnOdc5Kwm8CE4NrP75itUyxoXlgAkPzdUZ6OayC/W3pGyvdzPVsOu8rNlTITwQuLSi5WBifglgN+6n9mysCOfrrASYhdLYvwDMG3JyWd/7Cy83qtvxaf5xuLv4gzyrN21u1vuzbkdbAosuDl41e2y6cNLPKtDCx6bExMLpCDuqalAJT0GwuiC11Nc84mgc0ciwLj3RJ+JmxcWPvkDfyums7ixqYVQ4z/ewKb0O0FjBlzHr1Cyngmjvndbm4TNyysIPBqgk3NgIAhxjCbMB9y3SGubF65rCN9+b5wtYDODggYdMTqsDaaPqbohR6WZneFthyulZu5ye2Bl1w38jUrS17prbvu5PWW6WSejvYh+fpQt79F41OXsx+q3lcLtPV04X4B/bbDAu3KpWzedXNNzdvQuJ8TUhPC4DJhPiGgtEcJswQM8Q2uAhTPixF+TxZe5X0gJdhIT1sYqvLk8VbGvopg0SmT/yritIRN9PyQMCQwAU8uyWRlo6RMLhNTWosvyd6V4Lr9bVd5Pn4rKTGbuLrjRxvmCpu2q0Rx7Kx5/8di8EFhL4F51U485z5dEecsPk/KClu2oHDm7zThAIF30EcLLB7PE7gi7Qdh7p8gcMp9vfAe4U6BExwGGSPm9aOMZyUbMUq8Cy2TbRXBqfB4gdNymdyrCBs3n2ZFedgMtBMOAYzvkYI/kfo81gfmb5lYmq8pwfvLEnUxvO66M1adtC400d9OyvixKgbcbu0nHCYsI7yphNOyeVek3yVF9F5wEydgTi4np64x8S8RWKxY4Liq8rJp5mcXjJLMycKrvFwvIRhgL1wZfSkLK/MOK+KfQl4GV8xnC3aqO0VuJgbCZmIPASOyYQorejCxkPyqGT+blfz6rqiMPIy2ImY4tpTbTul52iL/sALr9Lcor4UVjR9xnDbqCOO2lmBXm5aHm4tDsgLOkJ9d73ECfHOl3k44nTKXijgnn40J7j8J+UmNueMFfjFGyKPCV4XDBQzIKvOCJ82/7ebO79SLWwU2ORgkjC/CKXhHYRfhuymMBwbwFiHneU2FsaH2PLtsI050KxdOYPlVLfOJeeJ5xtBQR5UU1WG6bHmtD5tlhaHn1E29pLlZyNcHsgwJVRtC0uXCOJj+svbuJNgJNE97igLqrDtj1Umrt4n+1i1juirdIlWMXnNwmyW0W1M70e+cy0ntZyfWTljImFivdImmyf13wRRmbbkph93xNgKTb1DAGJ0qeLlGHgbDC2lYJEyYtMPCFYLtYtkdXyZ8fH6q6j9yOkppmTQbpDzcCPAHJ5RjghKyOzN5oRz8MchuLix30r7LBTYW1r6tUr4DXeKl5YYXJmSVrJ7SckrhKo1Tgm1wZspNP7zQPsp+tgus09+smPleTkRcFR4sUP+A8CuBxdgvIkVtUZIRYSGknWzYLM96cs8VBkmQCWNOH4q43iHFkd/kWDm4kto4BXCVeZtw3oIkI673Co8Lxt+b5KYNrZHYefIWPTBGtnjTXoywn4fzE0+go0o/aVq7uUM8J1LKOcb147Up7HoXZk7i2OzwagDB6J0r/F7IT2QpychjVYHNzMUCmzCM0ZBA3Z8XTNaQAx2bJVDecsLpwiMC9XjJ5xsbBsqbIVA+RowracIYUxPrw9tTAGvSpwU/V14tP2vbWxdkGzmhoQuseybXyEFbvZwqTz5X9lTYvwX6hGFnI1gmddadsehk0fowlv5aP+qUwVhfKDw1ZeIQx1oCZ+2krn7nc6Jdmd2Mq6OblfVXFYLyYfSuFTghQiSG8VWuZDPADPrXhQeFvwjs8pZO6TBULeEJ4THBTokYQ/5QB0UgfjUBWVY4SWgJ1Hmd8H7BdpgoGAaD9lNfSyi6cjpA4b9JuFFPJodfRFDQnwhsHugfaVjAq4RFA0PTEn4rkH+ay0S5efu2cPFFThZI8mD0mIwIV6JsZFDslrCWQLo/C/T9LsEvPFX9VfJCQdlPED4iYKzYYLGwcR1rkrflCBdnTtrHIke7GDPmyusK0hF0mMA8sTliyT4nx/0C/WMH/QGL0PNggYUPw4tBOE5gw+BlKXm4KWEBJN3hAnMJo9ISNhOYZ8wFFkLGHc7PEdYUekmq9NPaWjR3LG5LOSjnpa5jcITeHVnSWRbaq4U7BObD2QIGtkq2VQLWCjZK6Djl3ylgXIcFk1fIQTrm2e3CfsJsgbWhJdgtStFie5Diadc9wlUC84P+Md6kN7E+UD56/QUBvfVCeymDNjJfMRwvTAk6XbMwOBcJ1Me88nqZipz/qLPujEYnq9aHTvrbUmtZZ3NpVwZpWee+I6BT6NavhRMFG1PSlEmVfjOn/HqYb4zKyu1GeF3dbFt3E4WYAd6pbU0R2csMmLL3chunYtua0M/JzFuRAZ7M/emk7aGTnbA1/mkrdZNrl5BgIBgIBiYLA09RQ3d2jeWK+YHJ0vhoZzDgGQgDHPMhGAgGJhMDvPL6isB7Q67JedV1yWTqQLQ1GOiEgcpjdEVhhyr+XoFy2Kny3jdk8jCwlZrKVRfvR3knyHuwkN5hYKz62Ts9qdcSTsD8DQHveHmH+FWBvweZShI6OTlGuxHdbKSQycFXtDIYmHQMhH5OuiGLBk8RBip1M66gp8hMiG4GA8FAMBAM9BYDYYB7azyiNcHAeDHAz1FaAj/7m8ifaoxXf6OeYKDnGAgD3HNDEg0KBhpnYEAlDgnPdiXzDpXw613YVHH+SB3ld8shwcCEMhAGeELpj8qDgXFhYEC1zBC8AR6Xinu0Ej7ewh+GhgQDE8rA4hNae1QeDAQDwcD4M/DO8a8yagwGFmWgiRPwdBXLX3sBPtHIp+X45Bv+c1OV/Ewg/yzj3imOx/8KfIruPwI/eRlMcXwaj3LsE3cvk5vd6z8EPgsYEgwEA+0Z4GeApit8KhT9ss+8+px8JrYl8OnPs4T8pz387pZPNZKGT6vyczT/QQx5FxH/cxk+9flJgc9D8nnJiwX/GdP75EfXeW4o8PlH3k8TtoGA8NlD2v47oSV8WbDPy/KJVH4mR3r6yOcQEep8SCAOLmg3aw315HKQAvgsLZ8n5Yr+WGHJlIjyKJfyD0lhcEIY69EZKcwe+8vBZxa54udTuacL9KtMeA9P2YB1j081Wn8OSJmq1tFvKB2cwS/t4nfSyIcFxsyET/byk1DKxx3SwwwwIdoJ305dVyAdk3uGwETD4GKA+d3e5cIcwZSF77wySQ4UTPaSgzK8UvL9WsL2c+lQahaIkGAgGJinH1U8DCoBerRJQcJrFHaTcFqK30NPFvGPu7To8JUCBsV0+M1y/1vYwaUrc2IM+D7vh4SlBf4AjDr5HS9lI6sLXxQwlhjnbYSXC38WMMA7CtT3LgFh3cFIXyHYQYK2089NR1IsEMrd3flnyp0bYIwtdW+U0j1XT4wWvzn2QvlmgC0cXs5wiXaSm42MXfljOFkD+bZ5mayiiL0Fyv+psKfAOjpbwADXXUe/qrR8A90LY0e5rNMmH5NjH58o3I0zAOdjljqFoFSk40PjJkwolJMPjhOHAnk5Ux6U0j7AvbLcfOyByWaCQefD+iikCTta/7+TuKhwBgNTjoE6+jkoVkhXZoB5H7q4Y47/ZIP/gMRkVznI/0YXhhPjgAGvEgxw/sder1MYZXLyNsEwEsZ/hmHCusHagLG+0YXj3E4gvW0C+M8OHhbY/JuwNrUEnibUc5/zP0fufwqfcmE4MfaUz39WYYK/ygAfrTRzBdtckJeDw7bzSyl20A/K/6CLZswwxHXX0V1SGWxaENZhuKN/h6YwHozbs5w/nM0zwFi2Fds5tk3UQSQ7LRN2rnwiDiVBuDry8gt5uMLZPAWy+yT/zsn/fD3ZRX5LYDdshppJSrkhwUAw0AwDnODY/JrwmscvzmY4OHF6wai+ROA0WiXcgHmxsl6WhXP69mnZfHMN/CKhqH6yW/u4Vfu2wGl3CSIkbBpYLx5P/qLH1gpkA1K0RpHe1rCivEVhnMpXE2jvO4QVBTYrlxUlLgjz6yhjw21B3XX0UqWFB1tHOY3DCfW/PtXFhoPXffcnfzwmiIGmDTAGM5dnpIA8DoOLWDzu7wooAwrNBML/PYHd6/YCVyjsXB8RQoKBYKAZBriJ8sJVrz+9mY7+XOEtB07G6KJdtS5USObJ6+CkihHgqtcL4blY/RjWlsO1clMuJ2STM+QgvRmbaXIT1k46WaPalWNxP5Tj1QJ9OV3A0H1DeHqdzEqTr5Vkq9vG/1NaDL31n3X0/wmso1zpwxVhFwkhE8wAu75uywOpAgbe77hMaSyeZBjcEwROuUyg9wh3CncLTJp1BNKEBAPBwPgxYDq6kaoc7eZ3hay5K8nPAeCeGt2w+r+mtO+vSH+14m8TpgncsnES5bq1nfg1yqcrWqPYNDwpK2zZgsJ/rDDAH5DuJ/D+dxnhTQVp6wR1uo6eqkLXEFgzubp/TPi0wJU+ayl/mBUywQw0fQIu6g6TELGrZkuDn92rv/bhrxtvFfYSUFCML8LujYnD+w1vgNeWP1eGeTni32AgGDAGeP+HmK7wTvOZHdDDtSaCAfbCtfCXsrAy76ZZBKcxBINZJdx63Szk9ZNvSOB2zMvX5eEvpnnnycmzSn6mBFzBF61R5LU1DPefBH9rx20dRt7LdHm2SAFc539CmCVsuHCyjnydrKOsl4z1iYK9y79d7t8IuwkDAnyaxDrqyOg1Z+WLZDWYK2LSMfFy4SrrcmGOgFFFthK4Kjkw+f3jeHko6xgXiDIRxjsnE/4QizB2liHBwFRloI5+8hfGpONWifep9wrrJ8I4HWIcvHB6YiNsgg4PC7zbNB3mvSZXnR+fn6rcwQ3WH4SDBeofEH4l3CL4q+6Z8mNsi4QrXTYS/g8wOU1StjeI5OXUyTU6RhV3LkX1HKtEDwkbp8S8J+UkfV6WmfepGC9O9BxgjhMwyme4dJ+X+0LhqSlseT3pL7y2kx0UyTitV5Co03WU1wWU5Tcntrae5MqPdbSA7IaC6uhmZVVVhWAcUS7SPSi0BFNSK5xd4skpjj/t548Kpllk9mR3TlkvdeFLyf034UgXNig3J2hOyyHBwFRloEo/jRc2tOgpRg9jg462BP7oietJu4nCqKJrGDvi7XTHNSsLN2EYk+uE9wuctKoEI8mrpY8IcwX+SIi/tH6ey8h7U/QZw9kSjnBx5txWjquEOwXqx8i9sCAdQZck5NH009fDemPCBoGNB4b39wLGlQ2DFzYz3Aiw1l0rsKm5QXhU4JSJcPr9jgDXxP1a4DRqf0hKmlzo7/0C48mpGT5y6WQdPVyZ6ecSrhBbW/mjVpPBlC7WUUdKQ866utm2ukYKaVtDRAYDwcBoGZgM+mkGeLR9jHzBwGRkoFI3x+Md8GQkLtocDAQDwUAwEAx0lYEwwF2lNwoPBoKBYCAYCAZGz0DlMXr0RUfOYCAYGCMDvayf/LEl18/8MRTvlXlvGxIMTBUGGtHNRgqZKoxHP4OBcWYg9HOcCY/qgoGaDFTqZlxB12QykgUDwUAwEAwEA00yEAa4STajrGAgGAgGgoFgoCYDYYBrEhXJgoFgIBgIBoKBJhkIA9wkm1FWMBAMBAPBQDBQk4EwwDWJimTBQDAQDAQDwUCTDIQBbpLNKCsYCAaCgWAgGKjJQBjgmkRFsmAgGAgGgoFgoEkGwgA3yWaUFQwEA8FAMBAM1GQgDHBNoiJZMBAMBAPBQDDQJANhgJtkM8oKBoKBYCAYCAZqMhAGuCZRkSwYCAaCgWAgGGiSgTDATbIZZQUDwUAwEAwEAzUZCANck6hIFgwEA8FAMBAMNMlAGOAm2YyygoFgIBgIBoKBmgyEAa5JVCQLBoKBYCAYCAaaZCAMcJNsRlnBQDAQDAQDwUBNBsIA1yQqkgUDwUAwEAwEA00yEAa4STajrGAgGAgGgoFgoCYDYYBrEhXJgoFgIBgIBoKBJhkIA9wkm1FWMBAMBAPBQDBQk4EwwDWJimTBQDAQDAQDwUCTDIQBbpLNKCsYCAaCgWAgGKjJQBjgmkRFsmAgGAgGgoFgoEkGwgA3yWaUFQwEA8FAMBAM1GQgDHBNoiJZMBAMBAPBQDDQJANhgJtkM8oKBoKBYCAYCAZqMhAGuCZRkSwYCAaCgWAgGGiSgTDATbIZZQUDwUAwEAwEAzUZCANck6hIFgwEA8FAMBAMNMlAGOAm2YyygoFgIBgIBoKBmgyEAa5JVCQLBoKBYCAYCAaaZCAMcJNsRlnBQDAQDAQDwUBNBsIA1yQqkgUDwUAwEAwEA00yEAa4STajrGAgGAgGgoFgoCYDT6qR7r810kSSYCAYCAaCgWAgGFiYgTo2ti1nYYDb0hORwcCEMhD6OaH0R+XBQCkDlboZV9Cl3EVEMBAMBAPBQDDQPQbCAHeP2yg5GAgGgoFgIBgoZSAMcCk1EREMBAPBQDAQDHSPgTDA3eM2Sg4GgoFgIBgIBkoZCANcSk1EBAPBQDAQDAQD3WMgDHD3uI2Sg4FgIBgIBoKBUgbCAJdSExHBQDAQDAQDwUD3GAgD3D1uo+RgIBgIBoKBYKCUgTDApdRERDAQDAQDwUAw0D0GwgB3j9soORgIBoKBYCAYKGUgDHApNRERDAQDwUAwEAx0j4EwwN3jNkoOBoKBYCAYCAZKGQgDXEpNRASHX5+hAAAgAElEQVQDwUAwEAwEA91jIAxw97iNkoOBYCAYCAaCgVIGwgCXUhMRwUAwEAwEA8FA9xgIA9w9bqPkYCAYCAaCgWCglIEwwKXUREQwEAwEA8FAMNA9BsIAd4/bKDkYCAaCgWAgGChlIAxwKTUREQwEA8FAMBAMdI+BMMDd4zZKDgaCgWAgGAgGShkIA1xKTUQEA8FAMBAMBAPdYyAMcPe4jZKDgWAgGAgGgoFSBsIAl1ITEcFAMBAMBAPBQPcYCAPcPW6j5GAgGAgGgoFgoJSBMMCl1EREMBAMBAPBQDDQPQbCAHeP2yg5GAgGgoFgIBgoZSAMcCk1EREMBAPBQDAQDHSPgTDA3eM2Sg4GgoFgIBgIBkoZCANcSk1EBAPBQDAQDAQD3WMgDHD3uI2Sg4FgIBgIBoKBUgbCAJdSExHBQDAQDAQDwUD3GAgD3D1uo+RgIBgIBoKBYKCUgTDApdRERDAQDAQDwUAw0D0GwgB3j9soORgIBoKBYCAYKGUgDHApNRERDAQDwUAwEAx0j4EwwN3jNkoOBoKBYCAYCAZKGRhvA/xLteSvwn2lLYqIdgwMKPIHwi3C74RvtUs8jnHnqK4HhP8Ky3ah3reozFYq/4A25W+Z0v1LzxPapIuoYgZCP4t5qRs6oIRN6OcHVM7dAvq0U93K+zBd6HOaBO3G9mZFsuAZ/p3y5GEzUyE86xjgw5XuDmHJdpXXjBtSui1qpu3lZJeqceenBq6oJ0a4V2QfNaRbBpg+Lp7Kb2eAjQsWr9EY4AHlGxKebQW5J+FFc6jJeVpQbWUQnLeT0M927DQb16R+rq2mTXUDbKNTR59fpcQPCRs3O6RjKq1KNxdr6gS8nprJAgnYvSE+7OAU1snjQSX+g/CfTjKVpJ2h8KLFsyR5TwY/Sa3aSrg8te5hPTfqyZZO3kYNqOnMlSIDXDaHmpyn3WIu9LNbzC4oN/Sz+xy3q+FRRWIv/t4uUa/FNWGAf69O/aOiY39R/J8q0uTRpypgG4GTdMhiiy0lEpYWHndkTKrJ1qeD2OvzNPRzfCZe6Of48FxWC69PXiz8tizBZA2vPEZnHTtEfvJwhVIkdgXNVcEcgZ3LFcILXOJT5P6zQDns3k3WlOMC4UbheuFK4f0LohdxcWLk+oJyODHiBrsJ9s6SjcHHBOSNwr0CGwquegHXGuRnM3CN8JjATmt/IZfXKoCJwNVwS/iysFKeqMDPe9OTUx4m0E3C3i7dnnJbP9jM4C57/3uo4ugDbX63cK5A38kHrxhxk9Xk+JIAn9cJNwhDAotJLgcp4DfCrwWuNb8jDLpE+8hNnfQFoT+PCPBFe+1UubzcXxBaAn2l3p2FXKYroCWQf7awkUD5o7mCXlz5jhauTaC/Zwr+pAtvNuful5s2M5Zlc2hAcWXzVFGLbS9cLdwuMJ6XCe8iIgknJm6LbhNuFeDiIwLhnQicdCKhnxOrnzZWVfNjbSVkbHfKBpdw1iXWIDZXPxG2yNKwVrE2olu/Ei4S8nI6XaueojLQCfSRdZv1iTnLIYC1eFDw8g55LhdIy7ryY2GzhZOM+Hx/SEd6XuuwTphQ7wnJM6Anfrhhnfuk4NdH1g2EJ2nAe4XjBNbAPwq23ss5X14hF3zRH3R2H2G28H8C9T1N6FQ61c3C8jstpI6CP6SaWMBfJrxSYCKxQHnZQR7q9gaYwYFIk13kqHMKpBza5WV1eXhf/b4s/K3yn+bCGAjyY3xpC8bp4BSGITfZUQ7Ks0V2ObmvEthcPHlBskVcTGybqGasmQz060CXGsNJO2yCLVKQC2BSk5bJBo+LC9sKfxU4sZmglLRxmRTApB8WZs5PMc9xrB6M2cYpnPQ/FC5x6YynZVPYunqiUOu7NPSVhYFw6+ub5YY32mmyqxy0HwNFv9mcfTeFHTA/VbkDhTGFJRVtov1rpiy041MCffcGb1B+6t0kpfOPojlEPO3O5ymL278EFiGEOo4SHk9+HscLbFCsLvhiAwDXnQh1dyKhn/PYmkj9rDM/TIfRUZNV5eDAwKbZ1pQPys282jwlepaeGEnTJ9KhC15XR7tWUcVZwt+Ec4SVhRWFswXWq+cLJqzVHGhMWKsxgLTPxPrDQcX68xq50R2/qcj1+TOK/7wrB2e+PjK+6BT6QVtY5zcU0C/CWGNNnicHhvbbAusSoE/o57mWaBTPTnWzsIpOC6mj4JS5gavtQ3L/U/CGKl/YllD8f4R9s1bOKGz1woHUlxtgUrArwxh4uVieLV2AGRYmkJdfyHOrC7hF7huzNNvJT93euGRJFntLSoNSeDlTHgym7bzyCZaX4/2mvExUL+wW4ZnNB8IkXSW57cGp+QEX9hy5yYMSe9lKHoyiiTfATHy48MaXdGZYvWISPlu4xgrSEy6vd36cKCZcHpCFF3lzhWVeDWQJ10rl+Xk4mMLGaoC5IUDpvbBxuzcFGKefzdIcLT8LGYtaXQn9nDcvJpN+Vs0Pxt50eCc3ETA6TwgYPhPmdku4NAXYmrOOS/Nsufdz/tGuVRRxlsANoV83aA+bgFNdHbbZdUGL3SWP11/rz9N9IrnZLLzEhXl9PlHhp2Tp8RatjxZ2rkvP5vtR4RMujPLyPqGDGGWf12Wp5azUTW/wapXYUCIGi0lowkltcSEfCF8dRoBFGqPCIPxPijzCJ+rQjZHbWNgo5WOisjBzSsslX1A5PWFo2C2R70UCYV7MiGybhXsvCoP8MkuDgedEunkW3om3qM3wvFkq5DE93yb8XJgrtISZAuNA3cjWAnny9s1W2M4pjX+g+D8VuEVA0b0YD0U8oXBsCKgXLq/O8nJ9PFph48ZYsUi1EoZTYUULxWjrIR9zgY1HzhcLJ4YXMU6LeGDR8BvAlGVcH6GfC+huWj/rzI+ywaYtdwjc5pgwt9Fzm1NsfNm4XyYcKqwh3CfYrd5Y1ioVMyJcf//ZPHrSnluFl7mwJeX+lnCbQPqWQN1e3+gPt58PCl52kIf1L5dPK2A34eA8osLvdZHbtnsFfxKn3Vw7+z49LD9t66pMlAFmgniBFITdSTvh6uYkgUFg0vEOgivj0cp5yogR2jsVwLsErh6KJG+zKcFzlfgZKcPuerYcMBrk8zvWvGzL+5cswsq3+DxfHX+7NpP/owIbmiMFFHVAeB8REhQIsfq90qeowsc3FHq3cLiQn+SsLAx+y2FXubnuQUHNSOV8oBCjFRan7wsYdTYIA4ItFtbP0Zad56vDl6X5rDK3HPAzZs/MCx1nfz5vQj/nXZ/6YRitftaZH2XDTd5cL0hLW7ghXEHAiLCZxQDPEFrCzwQOGojVP5q1KhUxMkdzoQ2shQh1DAu05+WCrS0YYq9vpKu7rrBGv1BgjeDVVCeSt5f57G0Na04Rr2NZc2q1b6IMcK3GFSSCSBZ2rlAxxvhnCUVXhgXZFwnC+GKE9xAYEN7ZYUCKhMnkxU7r9yjwgRTxNT0HMmCE3r1QzoU9ljc30ua3+DZFlEa1azOZ3i5wkr1Y+G9JKVb/SiXxefBeCuBUTd0YFC9W1kYKHHBAqeDpdwK7UyTnIzfmKVmtBxs2lI6NBldN3ZQ6fFmafdWQAYfV5Kafp3ezgV0sO/Szmtw686OsFPLmekFawrghNEPDwWSagF7tI7Dp/KGA8bP6R7NWKfuI5OsKYayHrIUIN12cMPk7h/x0m5KMPGhL3XXlKqXdUfiiMCSsRwENCWtOEa9jWXNqNW0yGeDl1aOTU69YTC8RWOifJHDl1054qU86hIFjJ2VyphxMVE6D7MZaC6IWcm2ahbOz43qFnRNXPDcLGJZchhSwfR7o/LyHRvKrZvwoVH6V6bJWOovaDBdzUk52zbnYLtbC2T2TZ7MsIdek5+aZ5Uf57xR4r8+GBqUx4QoYyXniyvlLKe4RPX8t2Ak1BY/8xGC0UqeflM0ihthcoY92Gm03h1K2kQdzgav3nK9lFMYJfBVhWKCunAfayQ1MPgYK6nkJ/aw3RHXmR1lJrBVc4fpXdcxVXseZnjJn35MKeFTPrwqHCxhE5t5Y1qpU7GLPk8O3AeO1rsD8Ror0jQOOv/YlnfUnN8JfV9yr5xU1/9/fycUh4cMCBpNNqj/FZsk78tLutQT4MWGT4a/LOyqwycRlJ6OyOg5RBHnWLkkwU+FMAi+cUMiDITTZIYVhMBGuK1i0Xpn8PKYJfxeqiLpdaXh/gJwv7J/cPNiEzBVYYN/pws3JDpK2XSRQD5PrwBRGu02YMLTPX4m/SX6uY2l7mTCJLhcwijYRt5L7/wTqMVlaDtox3YWVOeGetDcJ2wj0cVDAoJ8qmHxGDvq9XQoY0PMPAnl9m4+Vn53shikdiy0K79tnPC2b0rAw/ESg/7aTpK/DwhWC9ZU4rss+LpjsKgdteJ/Arn0NYTiFHWCJ2jyp8wQXv0vKO0NP2oUx5EqaOt7i0nGzQtjrBepF0W1zVzaH8nlKcdzOwOvb8Ujgn/l3XvLzOEpADzZIYYvryR/JwUUnQns7kdDPBWxNlH7WmR+mwzu5wV1V7j8JXxaYU8j7hccF28Azn+8UbBOHzmGEbyVxktGuVWQ/S2Deni5gpFgLCGMdfr6A0E6M/8XC0wR0bkhgrn5eMLH+sCZZfxgT2m/rCGlzfX6Vwv4jHGoF6Vm0PhaFkQUu/Dq4hvyst7ME+rScAMf3CEWHDAXXkk51s7DQTgq5TiU8JJAH0ljgvXANghHgBNsS2HUcI/xZIM9dAhPoc8L9KeyPenLnj+Fjkb5WuEH4lcBCzmBUCYP6+5QHQ8oC7AUD85gA8bnsowDatqkwLPxNmCt4I255tpXjKoEJBBcXCv60benyJ/WeLLQETpAYzmkuEQu5GcYHU7otXHzuNOVlg/B1gTyc1E8RmJQm8PAFAYWiXsYHQ0F/6eMbBJOD5WDicjqFfxZyE06vDwjko52vFxgzG1cWjSNSYhTrJKElMIbwxCKCknrZT56WgCIz5oMC5dOX7wpFsqUCWwLGL789OEhhdwgoFWNE+yiPts0UTJiP9OEWgXlhUjSHiuappWeRY2eN4b5RgOd8frGZ+E0CaVicWAA6EfpQV0I/e0M/Ga9284O5yfrJ2LIOMs9MXiDHBQL6yTrzU8HfFq0mP/PoZgE9ZR6fI6wpeBntWoWxnSOwMaAODBf1DPrC5aZ89BZ78EvhSIH2PiIMCya+P9cr8HsCYQg3Yy3B9JnNKRsKwv4p/CO599XTr4/0l02OD4PDVVJ68v5NmC2YvEIO2stGgjUOfSeeskYrnehmaR2NFFJaem9EcJXNxCoSM8B+R1aUrpfCzACjJCH9zUDo5zxDNZn0czLPSDPAk7kPddvO5piN82ilUjft2D/aCvolH6duToohwUAw0HsMhH723pj0U4uerc6cmHVoefkHBG4QuiZT2QBzjclJEawvdPrurWuDEgUHA8HAyGuG0M+YCOPBAK/l3itsnirDLh4n8LrrjPFoQLs6Ko/R7TL3cBzvLSGY95qvKmnn+QrnHQYc8C56z5J0vRTMHybcm9rMe1ne+4b0LwOhn5NLPyfrTOTd693CYwLvXnGvNVk7k7Wb1xe8N+fKmb/FuEvgXfR6Y+xfI7rZSCFj7EhkDwaCgWIGQj+LeYnQYGCiGajUzal8BT3RgxP1BwPBQDAQDExhBnrRAD9V48FvtOznGfyUg5fkvSKz1ZCHBa53Q/qPAf8TkKn4V+QHakj5GQY/EeMPUPg5SUgw0CQDU13HOuKy8hit0niHyrvSjTsquTjx4QrmDp7fqPLb0MuFsd7FF9c0+tCjlbWOAaYv/PZ0ydFXFTlHwcCA8gwJo9248cc/zPvJYIDr6GddCvkdNeWZHh8l9/S6mXsg3TS1gd++51K0Pg0o0ZAw2jmS19GEf5oKKWp/E2WPtYyythVxW6eu8daxiViLK3WzqRMwH0vgR8/8iHmsYj+I5mU/Hdhe4JOPk1H4Iy944astIePHwICqmiH00uI6fr0ffU3oHh8w4Q9RkCOEryT3ZHhMUyOLDFjR+jSgtL02R8ra3wvcl7WtiNteaG/ehp5cixfPWzlKP186efEo8+bZVlRAywU+kSeYRH6u0kFIMDAZGED3HncN5QtE/SBNrk/9wEeTfZgs3E7atbjqGM1Pc/iTdNL566o15eeTaeym+cTYlQKfHCwT/qSdcjC4fN4Md8sl5sqCnwVxouSzknxneAsXf7HcfOaM97MmQ3JwVUzbBlIgbcQP+O0Xv/f6i8DPjD6W0vjH6vLwJ+m0iTSfEI4Rqq6g+fnPnwXqsSv0WclPGG2/UOCkf6uwo9BOKMPaTTl8vWuuQNs/LXBdv0cKo22fFfjpgAmbraMFPrcGGJczhWfPTzFv/Opww280+SkCizXjxPdekSsE+kP9W6Uw/xhrHyiLH8jzdZqWwOczrxN2JiLJoXoa73zGj/axSCB1OCAdcw0e/BV0p/N5Xo3d/5d21hFukvh7itsF5s1ZwnNdRnhEf/4twBnY3MXnzmUVcLLQEnhffJPA5/7gzsSnYaxIs7eL71QX91dePnvIekKdpwsbCsxz2svawS2ctX93uYvWp7I5wjy2ctBNEz7RyqcLWy4MJzrH+0xu6NBh+viRFE58Pt93U1hLQGfhH36Qdu1PSRZ60P57Bcb+3cK5Ause5bLuLC2YrCYHP7lE3xlj+BsSlrIEevp16aXyf0egv5R/kNAJt1asn2+MO99ZeJdF6sk8yXWMaD4hib7+TmgJXxZWIsJJ2TzIks33Fq3FRHZbp+vqZlm7R8LrFMKAkw6FMpkjx3HOv4vcda6or1E6JoSXVeXhm71MJLs2/6DcGAC/SAzJ7w0wZbxBoG0DeCTLCesKhNHG9wkoMd/9JYxrOBPqQtH5o5QXCPTzYOFOASNTJTsoAWWulxKuoufeKexHetK2TYTvCygPbSuTJRQxILD4MKH53dpGAgpCHRhc+NlYODCFsQCZoOwPCUw6BKX/lMB3kVlIkE64QTEwdLTLC21D6YtkrH2gzVcKLCKmlG+WG6MB1yaDcsAJ3HqpwwHpixaH0c7nrAmNe+lnlbCocZrdKyXkbxIuEO4QVnCZZ8p9n/OXORmHywU2cjYOa8j9R+GwlMnSwJulQbdYA5ifSCfzbSelR0dsw8hY0garj/KGhQtxZILewtN0Fz6YwvI5QpJhIS/nJIW1iHRyvNxsWqwM1hV0grUEyef7aSntHnqyWfh4SmePYTnyerMk8702R+Gcub+4sK3wV+FUlwne0PFlUtjyeg4LjLWJX5d+qkA2LayJs4UDUqJhPYvaVsStzbd3pLysL0cJrNcmRTq2oyLRZTPUzA/afoVg636debCglgUuOPJrMTHd1uk6ulnU1oXC6hSSDwITj/ee+2alz6isbbHFrlGaWVk6jA0TdmUXzoC0hEtd2JDcDzs/zjcI9GHAhVt7z3VhLBi8z+CEa7KrHORl8+DlankeyMKKvEWDbmE2scnHrpN6XllUSBYGP/cItNeEhZT2LOnC2EFikE3ga8D5ca4lUO8GLrwuN5xwyQu/JmyG/Hi4qIWco+2Djccbs4JZKCjTZFAO2mYLo4XX5SBfHMYyn12zuuKso583q2ZOFV5s7PnjFJOZcty3cLJC31sUSr0shl4+Kg8bY8TSsKh6OVMejITdmtSdb0crz1zBz3vmIEbHZFiOukZiUGmL5ghlFZVzksJbRCZ5jp7/FNj4eqGdbDJWdIHMTXjFSJr8QA5u8bwMy1PU/izZiNfm6GeyyE/KT7tWT+EYMQysl3fLk69fOygMPmz8SI/+YIiRYaGobTZ+01M6Hsw3jJuXpeS51wXkOkbULcKNC2cb+Z/aaBftQ+rMg6yIEa/1b70UOR46XambtqsoavBYwpgATDomx4nC/6TCjhhloQwCRoYTnAkGnkHeWvAT2yWpdPpFiZ0XE+RZLtfLkhuD64Wd/1jF1313KszX3a58JintNcEgc/L8hwujTF8efLFDx0C2EoZT+jXT0z+quJmtxL8XbJdL3mnC1wvKKgoaTR9ssWVX7IVbgZcILDbtpFMOrKym53O7NjYdx4lxfSE3wOjTgwK61alYnrzMY1XQCamwsjS/UDynMH9zRZaq+XaF0nCzwtgz5zBwzMHLyDwBYutO0VzEKG2ZtYk5yi2ESa6fo+1Cbuhoz+LCZqnAx/R8m/BzgQ1MS5gpPF1gHHLhhsnkBjlYVzqRsvnGAYpNS5mQj//9qIhP8pjuNzUPekKnu2WAIYxrCHaNuwlMkt8KbyViFPIM5eH6KRcMMjsZf42Wp2nnZyfuBaPmd9g2YfK6H25XaM04X7cZU193u2KK2l0U5stjweCqm83EOsKAYBuMJQsqqyqPLN8QOOGgzJSB+/yCsoqCisovCvN9YB4gLCYtB07GXAXa9eRIogLplANfRJPzuaBpXQsyzvI5TIXoj8V30gDL4zfEef6yei1PXm/V2P9QFbxaQPdOF+4XmH/MvYkQa/9nVXnLAT99eWbWqKr+jbYPebnG73NTgf+/vTOBt6Qoz/7wiQKCChoJbjAKInwioHHBAeMgKi5oCCqKqAzKN2BYVIwGRGVwAxXNuAtEGQQiQUA+lU1Qhp0oIiAIZFCO7CgIRkhEjZPnf6dqpqamz+k+3X22e5/393tuV1fX+nS99dbSpy6rEkyEPiJsJMwW3hOeFel9UTsJwStdqrSNooRivN30sJOAyQ51jKufbbaDkev0IA0wpLG8xVIIFeX+JIFljX6F5ZJ0+TnGx4+RTGyEGLK4nxnDrNNvZkn4O4M7z5vR96QJAyH4QRHTmXKTenxDkRkAkfZrhPMFPlYblMRlsy2VwewEGF7eyZKSjJtw0GZ7Lilmq48jZ3kbJhP84vN+Mo1x1usRqVu+sRx18j1P+e0obCh8UmBmd0yPMtR9VKUfieWfr0xmJ2CWTltkkDAMyScfcUByR8h8d11ZKThDWDqEAlVpG0XFiPG+roezM8DnO5JIbbWDkev0oAwwSxufD4TRmM8WUBaMI8th/QqEs0yajnZJi6XtC4S4tMOHWixDrpFkwLJGXWG2iMSZYkzn2XUTHGE8DGUucZSc+1e9ZwmaJas9hHnCcVUj1gx3boiHAU6Fd5zudzMoQ+JgbFu5mZHU5aDt9hyKN5TLXcqFvbV8yTfqE7rVr8Q4z80iHqD7g4NfDJPnyz0dX758XVaGfRRgmxDodl0/LDCgj3uUPOK9x3f+eLm3C+GLLt3aCGHpR/IZet6PLFYY0sjbIm3sRKGObvVTfsqJPCc6wnWOrvSHV4T7um0+S7Yyt7G95W1jbSVIf8p7KRLiXSvkfBJ2gfCyEKlKOyhKP/cbC50elAFmaeOdwt8mtcb9ByEatZyQXveH6yFKy95FLPN75GaJmCWWKBcFx1vC9Rm6MmKuK6cqInsgHxfosGjMNIAt6iY4wnjfDeU/RFc6KRRiQQvlwejSqW4uMBgapJwe8qA9xNkXo+MvCLcmGd8S3E/WlbZ4ioDi1+Wg7facFHUozvcpF1ae2DtFaMd8rHOz8MXg18/l2wqMri0Q4mrQpnK/X/h+SCgNE98VBvENwoeEfldK0LmDhLVC+nSg1OkH4Z7LrwTeOcJS5ruCu+jSrY0Q9kKBwX2cLOwid0w3poXBYBa+nxD7A/Ze6StYkYkz0Bi+yrWf8sf0Xi7HSwT6xbkCM/KvCVEfaPMvEl4qILOFfYO7n0s/ZaO9MTDYPWRA2T4iwMlvemT6Xj1jmyjdqoT7vYSfhnhV2kGPLJY/mhidLlu2gGReDuH4qONbAgqOkrF+f5VwjYDCbi90k431oCM8JDwY3O9OAj9dbpQaxaHjOF/IZ6YE31+gPOB4AWNM2W4TUBaWw9Py0nnTOXcERqC/F1iyiYLifUegw7hTYGaP4jGz7wg0/iIh3bsF8r5doHEdlvnBHUu3KAvhaJxHCkVCJ9YRIj9xBoEfAxvKB8/ITQJfYuLXWeY19ZcZyi8EFOFSgTKRLyN+Bjf9cqMoU/vv5PVRbkqkjTqsozwWCh2B+l4pHCisluVNR8h7vk74RPKsjAM4oa3AC++P91inPSdZDtRJOasIHfVlAu8fHTpReFISkfbEIDe2a2aXvYSVJnShI1wt0J52zCKkYf5Dz34mzEvC9NPemP2eLPA+6VN+LnxWeGSS3uZy01ET5kcCs9ai/ilG6dZG1lAAVlTQixsFBq20uT8LHSGd3dGnXB8ADwxo4rJwt/bOoIF+hv6mI0TjXlR+PS6UTeTLu2db5TiBvvc+4UvCmkkMBtpfFhgw8A7OET4jEJd2sLOQ90uEyaWobL24je2NvgheKAPtASnSsfBo6mMr2tLNArp9ukDeUaq0gyT4lLOoLx6GTlfVzby8K923kkjPHPxw0hmgM2SAZBk+A9bP4XM+DjlGA7zTOBTGZShkoFQ3WRqwmIEmDLBMx8h7SZNEHNcMmAEzMNMYsAGeaW+8nfo+X8ksCkmxnHRUO8k6FTNgBsyAGUgZKJ1Gm64ZxwCzXvaU2LtmL/FhM46B8amw9XN83sWwSsJHTncKvPt7BPZ9LePHQCu62Uoi48eNS2QGpgUD1s9p8RpdiWnIQKluegl6Gr51V8kMmAEzYAbGn4FJM8DpT5XKfiYx/uy7hGZgeAzMVlZnCfxEhw/mvjm8rEtzer1CdARmDPysx7KCAbZ3OsIDwhUNieEnoixZwzM/5+sm6c+E/JV1N5aG5F86jR5SOdJsLteNDfAIiO+RJQcwsB9sGS4DVfXzXBXrtFC0dXUdt6/WOcSiigHmt7X8jn3v4dLcOLd5SoHf7NaVExSxqQEmbw61yA3w9vL7rbBVUjj/zKnum1oRr1Q3J20G3JwSpzAoBm5XwnwYYhk/BjikZDvhwlC0+3XdcvyKWalEHIbBARL89G2SZJ4K28QAD7KuzK45tIYDdSxDZIBRp8UMtMHAnm0k4jQGwsAaSpXTkTgxLcqkdracIMVpSPFJFckAACAASURBVJb2GOAUtGe3l5xTqspAWzPgpylDjonkyDGOgrtE4HhA5IMCRywyHd86+O2oKzMm/OYFv3hhbyIeccdRgxxfx1FiLInkwoiyIzAaZomm175GjMt5uMwEWM7hSLvzhPzg8LXk9zmBvKkP4OzcxwrdhJ/lUB+uLOVwDCcjyzOExwk0cPzoQM4U1hdSqVIuwnOuK0e00YFyzBtLShcLHDt5m8DRfHlZqCtluUjIT6xidsSeD0fu3SBwXN3BAv5RyvigPP8pkC9CGSgLx2ZylFwUjrij/p3Ej60EeAN0rP9feFCA878RWHL8jkD5eV/PEyzVGXiLgtJOkMMF3ss3wz0XjubkKEXeP8dUcmznI8LzJu+R9857pE29OqSXXvbRTSeEof1ybGSZ8A1IbFfpFlQ/7T3Po432x5GaGDGW9TvCMQLtFmEPlzK/UKDfww1246FkW4G+M/YzpBOfhSBdL/vqCTpBXPrKY4VndQ1d/ID2QXnQP95JN6FM9OOsQBD+70PAKv1HtzTtX4GB0nVspUEHj3JH+Ts50hH2XN2nBphw7EPlBpjGinHEUMUGvJHcGOuDiBTkcl0xjkcJGPU3C3T2nD9dJpQ1Nh7CUtb7hL9OIh4pN+V4ePBD8Wl8vUbeT9HzrwjspfyrwGEVKCZpnyyw/0b8VwiEoeypVCnXhoqAof03AX4A+64Yv1OSxNKykDfKzz/D+KXAObSpfFI3xI+Do2fITV3piKNU4eMIBaYjTGWxblIDzLOFQicJ9Hi59xBoC3wkRGfNgAijTnn/RXitgDGmXdChp4MD3c5oqaKfa4qhog6Wd0xb3DIw+ERdGYCdmjG6WPf9vEe+B9hZoE0x2EQH4jnAJP0GgfIw8KNsDAoZZOG3n1Am6P9JSaB+2nuedtP2R3v9H+HtIWHqyVnGDHbTCc5i3eccEgXd+uck7CZy3y3QT6Rygm7oI6LsJAe8bhA81tGVPivtJ1eEXuHaS054JnyUovZBOQhHPgjhzxfeFO7jpUr/kUWZMbdVdLOUjLJEMFJ/EeZnKR2a3M+Vm3RiJ8+jdYPfvCQcX0OmLz0++oAc/5iEQwHvFFZP/FD0Hyb33ZzM1nO5VR6p4l+se4xoKvN0s1Hml98eIQ/Kn47mvxb8npMEZoRMR5dKlXJ9SRH+KNBpRIFHjPIpiR/OWJYtEv9/kvtPQuwYnhDuP5fF/ZjuGUCRNlKFD/K7K4SPl8Vy5J3OQvl1snB0NvD2D4n/W4PfgYnf7sEPQ2FZxkCZfhKqqION7/7TGZEYEtJkZhZlsRz9vMdUl14Q0mMAGOU6OZi1pcLskHzTuFmQ5bfo/0nZwyrtvVt6Tdofdbk6S/iluqcupBtlsRw5hzzDgLLSkMrxusn1OTfA6OgtApOWKNvJsUNyX+TcS56UDYMapah9bBLC7aTr2sL5Qj4zr9p/JFnNKGepbqYjtLrM0KGjEIziPiswU0EOC9d+LjRc5MdZJEbqR2Z+V+me5ZAozJLTWWwWfPkty2vfFG4U+PCgI6AEqQFkJElj+5aAEjHIWCQQvkwwXD9PAt0hNyNkyhvlNjnyslYpFzNZlhOZoUa5Xw5mikXyB3lemzwg39WFxwW/F4d7Ruyp0DmilLETbsJHlnTPW2a4UeANSf0oP5JzF7x96YOB+O5zXftRSCPqYh9JLg+appm/s0crFAPUy7KE0/dcJ0/ilLX3snT7bX/0G9SlSH/Iq8wYEuYh4SMCS8gY1I6ws5D2R7pdRZhhP1kg77cJ6woXC/kK1yoR+/TA+DK5oc+h30ylav/RZ5YzJ3gbBhi2WGplZsPyxBUCs7tda9D4VyEOy2Jl8rssAEYuHQ0WxSf9xcJjhDnCRsJsAcOKAYxyiBz7CJsKLIveJRwqlKVPfJZzU6Fc7F+yShAlL2vVcjHiZNkpF4xwkRRxRLhYj8g3M+BOAu6Ju35ItAkfIYlKl7S8cIQU+VV5D5UynMGB4rvP21PUvfi8DkW93hltGMnz7daG+8m/rL2XpVVU7iK/XH8YrHcSYMiJ99iyDPWcQf7rhTcKGwqzBbaY0v5It6vIOfJ5uQBvxwosWx8vxMH1KhFqetCvM6l4ncAEIJWq/UfNrKd/tLYMMI2NTvopAsaY+5OErQOFsTNN9+7SJZDI9D3BsV70aPnKiJTZE/sW9/ZIm6WDo4SthGcLNPYFwr494jR5VLVcdyqTIqVm9FtHIt/zFXl2AkbWpIliI3X54L2n75y0it57yMaXITIQ333enuJ9fE6R2nyPtGEkz7duGx4iZatkFTn6up7MzkB93rFKjJU96IvQffTs+pKwRY/Pk+eOAoabPg0jfkxRwAZ+n1bc1wh8c0M5WRmLUrX/SKLYmTLQhgFmSenzIVEU9WyBhkDH+8zg/+twTUfV6T5peDz1RTLy3OgRrgfoenDmV+c2flSVxmU0iyKkwl4rSy/IVcKbBZaHnhX82r5ULRfLdhsL6R4ws/my5apu5V2sB2whxI9wYjjKc6IQ91rr8sF7z2dSRe+9W/nsPzgGLlDSbOE8L8si3kdd5HGb75EVIrZo8tkUA91JE1bGrhVy/aEeC4SXJRVCz+JgFP3dTijSe6JU+caBFbptQvq36/phgUlP230Uq5mUfZ5AP/NRIcpiOar0H0kUO1MG2jDALJW8U0g/ssDNfgwGA/mFQCN5i0AjfJSw59STleXbur1IWCDEETHLwO8Xvp+FrXN7viI9GNJ7pK6U5UNCPit7sfz2TzLYXG6U5geJX5vOquX6lDKl0/yCgOGFxyOF+2sWhg6EkfN+whYhDfaIPy6wv3VH8KvLx4WKzzcBcSC2i9zMrtsU2jDL+7xHS3UGmIkyu3m7wEoPwvLwQcJpwiXBj0vb73GB0iTP9wj0HxsJrKBNovAlN/qRbrnRzvcSfppU6Fdyx7bPkvW7BPbHGeDTF8IBgtFmablM0Ffe1VohIBOhrYVB9VGUk36Bd/aCkGfV/iME96UOA0tLIjGKo/Nj34OXdI2AEd0+i0cjZRmDl4bBeb5A2ixjnJCExagwo+4IVwuXCiyzICxNd4SHBAzpj6d8lzW63+vKaKwj9OrkWfKhrOx1Ef8jws0CI/PFArK78EOB8lInysEgo5ewTP07gVWAjsBMlREpxhEDgR+zP+p6X+IXR7FVyqVoU78DpvzsyzCTQNkvFr7FwyBFZUF5fiPA+a0C+05RMMAsgQHq+kUBAx+ljA94TOu+bYi4hq5HC8ygbhToZBcKDCI6Aisdhwl3C5SLQRp5vVugneDHIAAjQRnvTPwIgzAqJ1xsI8F7xlyoey+BTzp/wt0rdITY5oiHIbhB4P38UjhcwCimUvc9vkaJ0NbIm7bHYDHK3nJ0hAcE2vNcIZbxOzFQdkWnOkLUf9wPE/pt72myTdsfaaG79FM3C1cKpwsM2lPhHoN8nfAjIa4E0X7PEOgT6GuOF4j/R6EjPClc4Yl64wcPvMOTBdIjHn3BZwUmFt2EPoL+Fp5pE7SNvH0QBn1jcEA4dJO+A52O75K+Es6jlPUfSdAZ5SzTzUpktJJIpZwcqC4DGM4v14084fEwGAz6/s+E16Nu8a2fdZlzPDMwWAZa0c1WEhlsPWdM6iwLM8pNhaUnZsP7zhgWVlSUWcRNwtNnYN1jla2fM/jlu+pjzUArutlKImNN0+QUbraKirGNH8ow6/uSwHLR2pNTjVZLumarqU1eYtbPyXtnLvHMYKAV3WwlkZnB98BruY5yYH827tWyJ/NdYbOB5+wMxpUB6+e4vhmXa6Yz0IputpLITH8Trr8ZGBAD1s8BEetkzUBDBkp1c6Z+uNKQV0c3A2bADJgBM9CMARvgZvw5thkwA9OTgfQnO2z9WMzASBgonUZXKBW/3+X3nPz2bxxlgQqV/jZyHMvoMpmBIgba0M+idGeaH79R58Cg9DfQHKYBv5NsgOeq/BzYYRk+A6W6OawZMAcv3CLwY/NxlENVKBvgcXwzLpMZGA4DHFLC4RQcmjOdZK4qYwM8pm909SGVi1OqbOCGRLazMQNmoG8GvqoYwGIGxoqBsmk0h+1zRBq/RY2IRwtypBrHpuFPGI5mjBKPGuS6lXCFwHFrFwlFByscIH9+fsORa9cKHMM2V+glq+khZ7VyzN4NAgeLHyzgj2wnxCPX7g9u7mcvezz1t06+SXQ7zcBAGSjTz5g5ZwxfJnBwCUescmYwRw6mEts6+sJy7CeEuCTLkY/oBkfAoqt7COgTv0vniMW5QpTT5PitQNleIlwuEI8ZZtGBMa+UP8eZLhE6wjEC21ZR0r7iWfLk2Ef6E9LfIgnXy0m+HNlIWTk57ViBtBB+S/8bgfTSn/SlS9Bz9Swe48jRqh8kouTvhTsFjo6k3lF61Yk8yAvQJ75BoO4cY0seVYVDeDgBryPwLq4UXptEpjwcG8msPvbNHPMbZRM5CMN7gRveK0vxpGtpzkBV3eyZU1kiGODFWQq8ZBTk2Yk/Skhji/IUOb4ioKgY0xcK/BMHzqOlc0iFjoBwGGqEQyfOEc4O990un9QDGuDWIcAzdEXRSC8V6vjuzI/buvkWJGUvMzAQBsr0k0wxBmwDvS2UgAHoR4U/JCWKbX3L4PdEXenUT03C4DxBYEWLj5QeK6wrnChgiJ8qRInGC73H4KwhcO405X3TimCzXi03hicOBh4lNwaWgXjcIkv7Cs5NxqjPEdDlKgZ4J4Vj+2sDAVlHuFA4KNxzeYXQywAThjPmKeuBSTycbxSOSvzK6sT5+bMFBgMMhugXORf9rQJ1qiIMiC4RMJxxsPI6uSkfdYmyQA4mF7k8SR4MJBjsRJ53lJt2sk0e2Pe1GKiim6UJlyWyllKgAUZ5uRyMuP4pSzk3wDw+QiD9VImI9ychNoonhPsjs/SYvX4n80tvY7zPZWE+pns6CzqOKEUGuG6+WXa+NQMDZaBMP8mcFSNmN6lgEJm5IbGtf3qlEMuMIulvm/hjgJntPT7xwxBjzL+a+EUD/HeJH84fCTckftfJzT8ASeWluiHf1JDEvgJDFQVDR95lgs7fImC0otB/7JDcVzHABP++kJf3bPkxgYhStU70iRjcNZO4cZCUeBU6mTXDETPwVC7WDelGWSBHkQHmQJ+HhMclYXFSF/5RjqU5A6W6GY1ck6wwZv8WEuBlLhIYXebK3C0PFJcOIsptcqwuxIbx4nD/4yQMThpautySPZ76F2Gkw2g6FUadNPi0U8mCTN3WzbcoLfuZgVExsIEyfqaQ6w+dL4YX6dbWMZYIBjEVlizTmRqrUxjV1AjF8LnhRx9ZiWLWRtk4z7tIR4mfGkjuKXOaHrNh8i4TZtPMXskHA8fgm/4jX2krS4fnxwqsEjwnBGYmyQz9snDfb52uVDz6wCjfSNy9nJGbIu4woKwk9BLeKauNfHyWCgOR+N57xfezFhjAQLUpRyuxRwo0cmbBVeR3WSCWUJA4WmWJG6miaCHo1CXGYwbMUnQU6kye6yd+Rc66+RalZT8zMCoGqrTjGIZl2lSizsXn8Vmus/gTNu6ppmnkYWOaLHHHbzF2k5tl8jxePrstmsll0Qpvz5EvK3PvEzCgLLOy7cW2U26AChNIPL8tN3WaJ2A86euOT55HrqrWKec8SaqnM+bz71koJhdsuzEQYKugmxD/xm4P7T8cBto0wHuqyLsI7GOw3NOW3BMSYsTcj8R48xWp11J1tzTr5tstPfubgVEwUKUdxzC5wYv38Xks/2MKKsKK1R0F/oR9IPGPK1uEZRkc+bpwYBJmEM7zlChgxrq3cJCwtkCf1Y8wW2XFDwP7jwL9HR+4RYlcDbpOMR9m4xjcfoX4/fap/ebh8CUMtLEETRZPE5hp0jBPSPLcvyT/Ko8vUCBGrM/NArOEfEqPBBbrGXvJNNBU+ACCj0YYgUch/Tga30zuzYWq+dLBlM2mk6zsNANDZeAu5caeZK4/GB+WTdnLjW39eVnJ4j2GK5UNdZPuHWKoWVaOy7Bp2Odkcfl4ipkXMz/Kdq2Q6yhRFgipYcOvruyjiNuEyLfr+mHhJKFoxl4lj0UKxAzycIHJBmlGGVadzg0Z5tyxpM9KZBT6wNi30d/vJLC6yDul386N8HHyY7UgCkv3rGpaRsRA2UYyL5Ov8W4V0g+bKC7KFeVyOWj0qRyhGxpsKm/SDXmyhBLlE3KwVBQV5tFy02mkBn573RPvRctjLfvSk/S3CH7M+D8l5Hs/N8nvMyHMabruG9xV8uVnUSyruZEG0nwZKgNl+klhWN5lkLl7KBkdMe391KSktHXa8VbB7wm6YijTMDxigI1OsZTL4BNdxK/bV9Df0zM6ega+6CvlRcej0NljJHZN/JiV3iZg5KIU9RU8ox/I9TmJNuX8onC6sFZ4QJmvEb4a7rm8QqBsmyV+ewW/dRK/6LwhPEvrEp9VrdPlinBSQdpV6kS/u1i4SIhGlP4XLj6UpPkWudnW411hrH8dnrESgBsO4kQM3m8WYn0xvg8JZ4c4vvTHQBXdLE2xLJGdlQJh2BfpZFii+42DHy/yweCm8ZwjEIfG0REI93GBjztID4P+eiHKu+Sg0WPwrhLYv0nl7bqhE8iXx/aT3/UBV+uKMuZhaHh8kIBS0mEwO4hSlu9ZCvgzgQ7GYgaGzUCZfsbyYBSYoTLYRA/4/eijssLGto7hRR+Y4T0iC4OxvUJgJsUA+78E9HFuFi4aL2bAiwX2I5ktxsFtGnwH3Vwq0PlfKWAsWYWKkvcVhyXPSJNy9pJt9JA9X1YCKCt9yGeFOGj+gtx3C3DJbPa9wreEe4Lfr3SNgxc5p+Qg4T5hzeiRXXvVCYPZEdI+kUFSlCp1IiyGcqHQEei74O5AIc545ZwadNCn8d55X2mf+nTdf1sgv58K3xXwi8IqB/3wUYmfndUZqKqbPVNsJZGeOTR/SINjFo5xtZiBmcTAsPUzGuAyjnvNHsviVn2+owI+IMyuGmECwk3HOk0A7QMpYiu62UoiA6neikT3kZPf58UlpgFn5+TNwNgwMGz9HBcDzMycla3Xjs2baF6Q6Vin5qxMbgqt6GYriQyYw9WVPsvaFjMw0xgYtn6OiwHmPXdb/p3kNjAd6zTJ76NJ2VvRzVYSaVILxzUDZqArA8PSTwa4twl8x8FJWLj5bqNITpPnbwXKxp4qHwJZzMBMY6AV3WwlkZnGvOtrBobEgPVzSEQ7GzPQJwOluhk/P+8zXQc3A2bADJgBM2AGmjBgA9yEPcc1A2bADJgBM1CTARvgmsQ5mhkwA2bADJiBJgzYADdhz3HNgBkwA2bADNRkwAa4JnGOZgbMgBkwA2agCQM2wE3Yc1wzYAbMgBkwAzUZsAGuSZyjmQEzYAbMgBlowoANcBP2HNcMmAEzYAbMQE0GbIBrEudoZsAMmAEzYAaaMGAD3IQ9xzUDZsAMmAEzUJMBG+CaxDmaGTADZsAMmIEmDNgAN2HPcc2AGTADZsAM1GTABrgmcY5mBsyAGTADZqAJAzbATdhzXDNgBsyAGTADNRmwAa5JnKOZATNgBsyAGWjCgA1wE/Yc1wyYATNgBsxATQZsgGsS52hmwAyYATNgBpowYAPchD3HNQNmwAyYATNQkwEb4JrEOZoZMANmwAyYgSYM2AA3Yc9xzYAZMANmwAzUZMAGuCZxjmYGzIAZMANmoAkDNsBN2HNcM2AGzIAZMAM1GbABrkmco5kBM2AGzIAZaMKADXAT9hzXDJgBM2AGzEBNBmyAaxLnaGbADJgBM2AGmjBgA9yEPcc1A2bADJgBM1CTARvgmsQ5mhkwA2bADJiBJgzYADdhz3HNgBkwA2bADNRkwAa4JnGOZgbMgBkwA2agCQM2wE3Yc1wzYAbMgBkwAzUZsAGuSZyjmQEzYAbMgBlowoANcBP2HNcMmAEzYAbMQE0GbIBrEudoZsAMmAEzYAaaMGAD3IQ9xzUDZsAMmAEzUJMBG+CaxDmaGTADZsAMmIEmDNgAN2HPcc2AGTADZsAM1GTABrgmcY5mBsyAGTADZqAJAzbATdhzXDNgBsyAGTADNRmwAa5JnKOZATNgBsyAGWjCgA1wE/Yc1wyYATNgBsxATQZsgGsS52hmwAyYATNgBpowYAPchD3HNQNmwAyYATNQkwEb4JrEOZoZMANmwAyYgSYM2AA3Yc9xzYAZMANmwAzUZMAGuCZxjmYGzIAZMANmoAkDNsBN2HNcM2AGzIAZMAM1GbABrkmco5kBM2AGzIAZaMKADXAT9hzXDJgBM2AGzEBNBmyAaxLnaGbADJgBM2AGmjBgA9yEPcc1A2bADJgBM1CTARvgmsQ5mhkwA2bADJiBJgzYADdhz3HNgBkwA2bADNRkYNwM8MNUj47wgHBFzTqNe7S1VMCvCtcHXKbrBn0U+gsKe7ewVNisj3gOuoyBbXXpCH8WjgykFPmZr1UZsH6uyknuY/3MGenvvkgXi/z6S3WCQ9PRd5PZenCb8BfhT8GdG5NPyf8e4b+Ec4QqcoICTVcDfIjqdquwtrCacKHQzZAu0LNthFxeIY9JM8Drqcx3CHtnlVmg+6I65nVu+552Gw1wTLvIryjf78vzxKIHI/CzfrZLuvVzZT4X6Nb6Wa+N9dLNqRRXr5fu8lgduZ4s/FCYIzxLuC9L8/26/x/h18I/Z89m4u2LVOmfCA+Gyr9M1z92IeJQ+d8vXN7l+SR5M+O8RcjbxyTW8XbV494JIL+jMlo/+3tR1s+V+bJ+9td++grd1ADHzI6TY3thN+HLWQlY5n6T8IK+SjZ9A6+rqnWS6j00fau6Us1+r7tRjKQHQe+eg0h0gGlaP6uTa/2sztW4hpwY/WxrD/gUvQn2becVvJGXyu8agRkwwoyPfc+bBGZELDc/cepJdzlDj/5TYDYYZYEcLG0zzZ8dPPcJ9/i9Uzhc+J1APm8VWPJlSZx0fiW8XcjlGfL4jtARbhbOEp6ZB+pyf4D82du9UfiF8AnhESHsxrqyxPls4bXB3QnP8st24Tn+C4KbuLOzgHQWpwvMpm8QXp095/aVwo+FJUJHOEZgObibPFIPyIuBAWlHYfsAI9pJ/Ir4ZobLDPGDSbhYd9I8KfhXrWOSzJQzcvxzua8VThbmJoF4x+8VeAdw8h/CwQL+bciVSoS2eFeW2Et0f4nAc9r794SdsjCjurV+LmPe+rlsBcr6OV762bNfKF3HDrEX6UrY3Fj9q/x2CWEwBixFYgwRjNO3BYzVY4IfF4xyvge8QH6pASbczkJqgB+lewwofhidfQWWxRcJLIOzBP7u4HesruxbbyhEYbkOo84zBid02p8Pfk9YHqrYgbH9rbBleMyggs7/1Cw4y8nRCBWntMKXelDeXOIeMHuRcLC1cKaA8YODKBhk6h0HGjy7VLhIKBt8LVaY1ACT5kKhgyNIyjfv6z0CfMMFZWc5L5WiunerYxZ16jZyvFV4yD46A4Ozk8CflBsDCScI7eE3AnFTYZBRdw/4CMVNDfBf655BEO8FgVvSTssVHrV+gb8qskiBCGv9XMaW9dP6OWj9rKqbPfW3aiJzg4J/OkkNo8rsM84CmbFgGFNhdkQefPwQpa4BJv6aIT1mRlGeEvyY2UZ5UvB7c+L3Jbkxyo9P/DAyfEBGp9tNMM7ES+tOWAwfdds2iVhkhLql2804RQO8XxLx+SGvv038rpP76izxl4Zw0Vh0y3uxHpQZYOJGvpllReFrWVZEPpz44Syqe7c6ZlFnRY5zo8lMOr7XGOZzWeSP6f6/hXUT/zYNcOR00yT9DeTeO6/EAO6tn9bP2KzyATL+1s9Zs0aln6W6WTYL6qe/uECBWdZ9i0AHjLxRoBPnIyM6JEbfuQFm9nuvAEltyk+SxO4I7twPgpi9RNlBDpbGmTFFYdmVMvKsm7xYD1YX8rr9KERou26xHGl+LCshsT7w/X8FZryp/DTc9KpPFqXSbVoWZt13Cim3lRLpEagbxxcrDkv6SAxTVGc6onQg1COrvh8xyGGr4wfC+4SNhLuEo/pOaXARrJ/Wz9i6rJ9jop9tGmCM2TcEOv44u9pD7kXhrf9VuLJMmgtLt/F5/qzuPR1iFBockvpRXn4+FQcLPKcMTxU6GZhZPZoAXaRb3agX0nbdYjGK6hjrE/PcTYE7CRiEEO+xMZGWrmlZSBLOU26bZhPrEzktSi+GYQbcScA95Vu/KFILfgzYWIHAAB8a8sXgxaXyFrJonIT1c9Uv8K2fjZvV8gSsnzW4ZNbWphynxD4k7Cmw/8ny7ZUhA/ZWkaKOH7+fhefdLnTo7Mmmsk63wDX9KSNL5s/pM363usW6xud9JtsoeMzz60rlwBopDYPvfooV67Nej0gxzHyFSbcbekRp7RHtfZ6wn8DKz8cE9qf5xoAVoHEQ6+fKb8H62V6rtH7W4LLNGTDZ/0JgSfA1Ap0+Ch+FJTn2JJ+X+OF8mvA44bzMP7/lK2oM+hrJA5ZY25RzldjGAl8Cp/IG3by7R0bMdvi4LK9bvC+rW7ekSTMOOjaTe/NuAQv84ftaIX4UlgZZoBu+Ru8l8J3P3Nvmm/yr1jFy/Nys0CwrnxL8FuvKXnxe54fL70SBD28GIZTh/4WEH9D1a8IhAkvw6fcEg8i7nzStnyuzZf0sbz3Wz3KOaodo2wBTkEUCH13tJZyQlYz9Mb5OfVvwp2P8lHCz8MUsbH57UfBgjxnh69Yd80AN7w9XfD7WOUKIy6cYvs8IV/VIm/1OPsDio6u47Miy9UHCacIlPeL2evQrPXxyCMBXvC/pFbjgGT/HYV901+TZLnLzbuJecEG0Ka8Lhb8R2LdHiBfLErxauVStY+T4Hcr1WSFntgXgBeOMMOjgK2hmoVsEP1Z5Pi6wNRK/BQiPWrvwrj8gRANP28Eo3yjc3lou7SS0SMlYP2dNfdRn/SxvU9bPco4GGoK9o36ETvFB4btdIr1c/pcJjMZZ7mVm8qQQlo6rIzCLeCi4mZFG+cAcJAAACrNJREFU2V8OGgQ4XsAYU77bBDpdfubEM/zuFb4gbCN0gh97PkcLzKJSv5N0H4X8ThVuFVg+v0h41YrHPV3v0tMbBDreXwoYdDo7hHQ7AvWCH9y9ZtV6PGX0SOca4XvC2sJhQjwLms59d4EVB8pLvdmPPFKIsoMclwoMcqgPH8VVmUmvoXBwxUyY+jCj4ytLRsQdAQ6L+GbGx3NmonzAxopIUd0fJn+kqI7hUeElcszvgBkUFXFIW7g+4GpdGdzxRT6CYewI1IN9YT4eK/IjbJEQnngs0XcE4jIwIY9rBcp0nfAtgdWdQYv10/pp/VyhZeOkn/3qZmFf0UoihSnb0wyYgaYMWD+bMuj4ZmAwDJTq5iCWoAdTFadqBsyAGTADZmAaMWADPI1epqtiBsyAGTADk8OADfDkvCuX1AyYATNgBqYRAzbA0+hluipmwAyYATMwOQzYAE/Ou3JJzYAZMANmYBoxYAM8jV6mq2IGzIAZMAOTwwCHFFiaM7CnkuA3yfwud12B37geIPBbZ4sZMAOjZcD6OVr+nXsDBkp/y9Qg7ekS9WxV5CVJZb4k9+LpUjnXY6wZsH6Wvx7rZzlHDtE+A63oZiuJtF+3sUqRoxFXS0q0j9ycyGUxA4NmwPpZzrD1s5wjh2ifgVZ0s5VEutSNIyBJP57b2yXYRHlz5OEFwgcnqtQu7KQy0I9+bqRKcrQqR7fOVLF+ztQ3P/x696ObXUtXJREM6FcEzt/l3wpyTu+XBQ7A7yZz9IC0B26AlyycE/Ope+1Wh9z/X+TBPwRgCTqedZyH8b0ZaJOBKvpJfm8SOgLfJZQZ4N0UhjO8fyJwFvm/C28QBiLWz4HQ6kRHz0BV3exZ0iqJcAD9mQL/iAHhQH6U92ZhneCXXliuvVzgHzYM1AAvXbpk6cI5c5YuXLK0Sj0Kitq3F/98gf/Be5aQLkv3nZAjmIEKDFRp1/xjjcUC/5v4FKGXAT5Yz68Q4j9IoT3zz0nK/luZgvQv1s/+OXOMiWGgim6WVqZKIhjgrbOUXqd74vLfenJ5szx+KOwVwgxsCXrp0jOXzp+zUGZ4aAaYutLRUffn5xX3vRlomYEq+slAMP7ksJcB3lTh+C9WuS4/pcCvlWpYP1uh0YmMJwOlutnW74AxNBjhVO4IN+tl/mvqnv/Pyv+qHbycdfqso7fYdNbTV1ut7myU/wcMkYA9a5bilgj8O7p7QgX2D9d44d8pIkWz/yyob83AwBmg7f6lQi57KAxbKLku868uc78KyVUIYv2sQJKDzGQGSq14F3JQZuLyBWIqh+hmUfAY+Az4zPmzls4/c8XslyWvJWcu1Kx4uVFdOmvO/F5L1A9XWWcL/AN79rcxwvwv3LcK/O9dhP/v+9Tg5sJvgOnI4pJ88shOM9AqA/3qZ68Z8PkqGWDV6hKB/23NXjB7wgMR6+dAaHWi48FAv7pZWOo6iTDbRHFPyFLkoywM0xOD/0AN8LL9pflahF5hgFF45S2jvGSqXrLGS+dPDRRWDpeVm1v2rDG4zOCjvC04PhGef1NX9svOELZaEcwuMzAwBvrVz14G+CaVktWbC4X1BVbI2C5i9rxv2zWwfrbNqNMbMwb61c3C4tdJ5D1K6VqBT/5T+ZpuFiQegzXASxYunZPt/04ZYE2J00LFrzDTmXJWbm4xwOcU+NvLDIySgX71s5cBvk0VIT1WeFJhQMl2S6tf9i+1fmY0+3aaMVCqm6sPoMK7Ks1/ELYXfpekz4zwZcJmA8izMMmbzjh51qxdj1tp//dVR/Nl8qtWCr/JpnwDdmlhGpnnfVUCOYwZmFAGfq9y02lck5Wf7ReUhm0WZsmtiPWzFRqdyAQz0NZHWJECvnz+qLCDwGg6FYwvy7f8RrgTcEQIwMwSvzeG+74uS5doX7fgZ0ZLlNOur96kNK2zTj9aYebP2vmVpUEdwAxMZwbY82X7KP9gkQ8OkVr9hfVzOjcZ123QDJROo0MBdtH1RoGf4ER5oRyHJve5s9ESNPu3C+eHQzayZeWpnzeU7+tqD1jL1FN7wqU/U2IJ+qS8Ar43AyNmoKp+xmL2WoJ+uwIVLUHzXcO9Ql9L0NbPEbcMZz9qBvrVzcLyVkkE4/vfwgcE/itQxKfkXlSY6jLPRgZ4iQwwM99lH1at/BGVPFfZ683LsewjkFlL5+iUjvxZwb0NcAEp9ho5A1XablrIXgaYL/75udG5wiNDJFaz+G1w3x9hWT9H3jZcgNEy0K9uFpa2SiK3KCbhirCoINVt5dcR+LCDOLeH+6j0BVG6e8VZbGpI+bCq16w2Gt/8g6yCXPgdc0d4SODnRri9WF1AlL1GwkAV/aRgfABJ26UN/zm4rywoMafYLRLQaVa02P9lQF1brJ+1qXPEyWagqm72rGUrifTMoeHD5cY0LDlXOd4ufg095BOyGtbU0c3AKgxYP1ehxB5mYCwYaEU3W0lk0HRMLTmHvdyinzek+U/97Cj7eRLxKy5FD7oqTt8M9MOA9bMfthzWDAyPgVZ0s5VEBl3n5bNgDGsPY7psOWzlf85AXGbENsCDfktOfwAMWD8HQKqTNAMtMNCKbraSSAuVKU0iHqgxR8dMdtv/jSdhKbGpGXMKG+BSih1g/Biwfo7fO3GJzAAMtKKbrSQyjPex7KdHVLr0WMlhFMd5mIFhMGD9HAbLzsMM9M9AK7rZSiL9l71ejKlZcPab4HopOZYZmAgGrJ8T8ZpcyBnIQCu62UoiM5B8V9kMDIMB6+cwWHYeZqB/Bkp1s9bRcv2XwzHMgBkwA2bADJiBlAEbYLcHM2AGzIAZMAMjYMAGeASkO0szYAbMgBkwAzbAbgNmwAyYATNgBkbAgA3wCEh3lmbADJgBM2AGbIDdBsyAGTADZsAMjIABG+ARkO4szYAZMANmwAzYALsNmAEzYAbMgBkYAQM2wCMg3VmaATNgBsyAGbABdhswA2bADJgBMzACBmyAR0C6szQDZsAMmAEzYAPsNmAGzIAZMANmYAQM2ACPgHRnaQbMgBkwA2bABthtwAyYATNgBszACBiwAR4B6c7SDJgBM2AGzIANsNuAGTADZsAMmIERMGADPALSnaUZMANmwAyYARtgtwEzYAbMgBkwAyNgwAZ4BKQ7SzNgBsyAGTADNsBuA2bADJgBM2AGRsCADfAISHeWZsAMmAEzYAZsgN0GzIAZMANmwAyMgAEb4BGQ7izNgBkwA2bADNgAuw2YATNgBsyAGRgBAzbAIyDdWZoBM2AGzIAZsAF2GzADZsAMmAEzMAIGbIBHQLqzNANmwAyYATNgA+w2YAbMgBkwA2ZgBAzYAI+AdGdpBsyAGTADZsAG2G3ADJgBM2AGzMAIGLABHgHpztIMmAEzYAbMgA2w24AZMANmwAyYgREwYAM8AtKdpRkwA2bADJgBG2C3ATNgBsyAGTADI2DABngEpDtLM2AGzIAZMAM2wG4DZsAMmAEzYAZGwIAN8AhId5ZmwAyYATNgBlarQMHSCmEcxAyYATNgBsyAGViZgSo21pyZATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzYAbMgBkwA2bADJgBM2AGzIAZMANmwAyYATNgBsyAGTADZsAMmAEzMEYM/C+e0hPhilaOYAAAAABJRU5ErkJggg==)
Question 9.How will you distinguish between the following pairs of terms:
Crystal lattice and unit cell?
Answer:![](data:image/png;base64,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)
Question 10.How will you distinguish between the following pairs of terms:
Tetrahedral void and octahedral void?
Answer:![](data:image/png;base64,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)
Question 11.How many lattice points are there in one unit cell of each of the following lattice?
Face-centred cubic
Answer:One unit cell of a face- centered cubic has 8 lattice points are corners and 6 lattice points at faces, total 14 lattice points.
Question 12.How many lattice points are there in one unit cell of each of the following lattice?
Face-centred tetragonal
Answer:One unit cell of face- centered tetragonal has 8 lattice points are corners and 6 lattice points at faces, total 14 lattice points.
Question 13.How many lattice points are there in one unit cell of each of the following lattice?
Body-centred
Answer:One unit cell of body centered has 8 lattice points are corners and 1 lattice points at faces, total 9 lattice points.
Question 14.Explain
The basis of similarities and differences between metallic and ionic crystals.
Answer:![](data:image/png;base64,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)
Question 15.Explain
Ionic solids are hard and brittle.
Answer:Ionic solids are hard and brittle because in ionic solids the constituent particles are ions and they are held together in 3- dimensional arrangements by the electrostatic force of attraction. So, due to strong electrostatic force, these charged ions are held together in fixed position.
Question 16.Calculate the efficiency of packing in case of a metal crystal for
simple cubic
Answer:![](data:image/png;base64,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)
In a simple cubic lattice the atoms are located only at the corners of the cube.
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The relation between radius and edge a
Can be given as a = 2r
The volume of the cubic unit cell = side3 = a3
= (2r3)
= 8r3
Number of atoms in unit cell ![](data:image/png;base64,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)
The volume of the occupied space ![](data:image/png;base64,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)
And we know that, the packing efficiency ![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 52.36%
Question 17.Calculate the efficiency of packing in case of a metal crystal for
body-centred cubic
Answer:![](data:image/png;base64,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)
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The diagonal of a cube is always a ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAZCAMAAACvvTZ1AAAAAXNSR0IArs4c6QAAAH5QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOjoAOjqQOmaQOma2OpDbZgAAZgBmZjo6ZjqQZmY6Zrb/kDoAkDo6kDpmkGY6kLbbkNv/tmYAtmY6ttv/tv//25A627Zm27aQ29u229v/2/+22////7Zm/9uQ/9u2/9vb//+2///byoz1kAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAA+ElEQVQ4T+VS0XaCMAxNRAV1bI5OtqrVIdCR///BJa1bPYe6Ux58Wp4oyb25NwnAfwqDIZJ809tHUl0oGrbtRES3nAgAXQHQqUCcJ6qj3RFAz97BqlkapF+xDS3KDHK3SDgBm5AwTz/fOuNu4yC1bEm7/l+NpPdXKbZeH+Stf5dzK7LPK7A1ipTh2REPJeL6jykL4rNxKsJsz3lcFdD5JUfnsc/ZggluOxRLI1Xig2uljlR2vD0RxzCOTvx4BHRYudkyVmr5GUMIkX31CFKLk6MlWZ5Vi7j1PW/jUno6g4WntTV72yRc5FDeGU9Mnf9nJt/tfa4HZr4BzoMPlWEDJpYAAAAASUVORK5CYII=)
The relation between radius and the edge will be
= 4r
Divide by root 3 we get, A ![](data:image/png;base64,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)
Total number of atoms in body centered cubic
Number of atoms at the corner![](data:image/png;base64,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)
Number of atoms at the centre = 1
Total number of atoms = 2
The volume of the cubic unit cell
= side3
= a3
![](data:image/png;base64,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)
The volume of the occupied space ![](data:image/png;base64,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)
Packing efficiency ![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 68%
Question 18.Calculate the efficiency of packing in case of a metal crystal for
face-centred cubic (with the assumptions that atoms are touching each other).
Answer:Let the base of the hexagon is a and the height is c
Each angle in hexagonal will be 60 degree at the base
Packing efficiency of Hexagonal close- packed lattice ![](data:image/png;base64,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)
![](data:image/png;base64,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)
a = 2r c
= 1.633a
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 74%
Question 19.Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10–8 cm and density is 10.5 g cm–3, calculate the atomic mass of silver.
Answer:Given edge length (a) = 4.07 × 10 -8 cm
Density (d) = 10.5gcm-1
For fcc number of atoms per unit cell (z) = 4
Avagadro number NA = 6.022 × 1023mol-1
We know that, Atomic mass (M) ![](data:image/png;base64,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)
(M) ![](data:image/png;base64,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)
Thus, M ![](data:image/png;base64,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)
![](data:image/png;base64,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)
⇒ M = 106.5 mol-1
Question 20.A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body-centre. What is the formula of the compound? What are the coordination numbers of P and Q?
Answer:Given. Atoms of Q are the corners of the cube and P at the body- centre
Therefore, Number of atoms of Q in one unit cell ![](data:image/png;base64,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)
Number of atoms of P in one unit cell =1
Therefore, Ratio of P and Q atoms = P:Q = 1:1
Therefore, formula of the given compound = PQ
Since it is bcc
Therefore, coordinate number of P and Q = 8
Question 21.Niobium crystallises in body-centred cubic structure. If density is 8.55 g cm–3, calculate atomic radius of niobium using its atomic mass 93 u.
Answer:Given density (d) = 8.55 g cm-3
Atomic mass (M) = 93u = 93 g mol-1
To find: - atomic radius, r =__
We know, Avogadro Number NA = 6.022 × 1023 mol-1
Since, given lattice in bcc
Therefore, Number of atoms per unit cell (z) = 2
We know that,![](data:image/png;base64,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)
![](data:image/png;base64,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)
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⇒ a3 = 36.124 × 10-24 cm3
⇒ a = 3.3057 × 10-8 cm
for bcc unit cell radius(r) =
a/4
Therefore, r =
/4 × 3.3057 × 10-8 cm
r = 1.732/4 × 3.3057 × 10-8 cm
r = 5.725/4 × 10-8 cm
r = 14.31 × 10-9
r = 14.31 nm.
Thus the atomic radius of niobium = 14.31 nm.
Question 22.If the radius of the octahedral void is r and radius of the atoms in close packing is R, derive relation between r and R.
Answer:![](data:image/jpeg;base64,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)
In the given figure, let the sphere have the centre, O and is fitted in the octahedral void.
As given, radius of the sphere fitted in the octahedral void = r
And the radius of the atoms in close packing = R
Here, angle AOD = 900
In triangle AOD,
DA2 = OA2 + OD2
⇒ (R+R)2 = ( R + r )2+ (R+r)2
⇒ 4R2 = 2(R+r)2
⇒ 2R2 = (R+r)2
⇒ √2 R = (R+r)
⇒ R + r =
R
⇒ r =
R – R
⇒ r = R (1.414 - 1)
⇒ r = 0.414 R
This is the required relation between r and R.
Question 23.Copper crystallises into a fcc lattice with edge length 3.61 × 10–8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm–3.
Answer:Given, edge length (a) = 3.61 × 10 -8 cm
Given lattice is fcc, therefore, no. of atoms per unit cell (z) = 4
We know, atomic mass f copper = 63.5 g/mol
Avogadro number, N A = 6.022 × 1023 g/mol
To prove, density (d) = 8.92 g cm-3
We know that, density![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
d = 8.9657 cm-1
Hence, the calculated density = the density of copper = = 8.9657 cm-1
Question 24.Analysis shows that nickel oxide has the formula Ni0.98O1.00. What fractions of nickel exist as Ni2+ and Ni3+ ions?
Answer:Given formula of nickel oxide = Ni0.98O1.00
Therefore, Ni:O = 0.98:1.00
Let the total no. of Ni ion = 98
and, the total no. of O ion = 100
So, Total charge on O-2 ion = 100 × (-2) = -200
Now, let the number of Ni2+ ions = x
Therefore, number of Ni+3 = 98- x
Now, since compound is neutral
Therefore, no. of Ni2+ ions + no. of Ni3+ ions +no. of O-2 ions = 0
x (+2) + (98 - x) × (+3) + (-200) = 0
+2x + 294 - 3x – 200 =0
x-94 = 0
x = 94
Therefore, the number of Ni2+ ions = 94
Number of ni3+ ions = 98- 94 = 4
Now, fraction of nickel exists as Ni2+
= 0.959
Fraction of nickel exists as Ni 3+ ions
= 0.041
Question 25.What is a semiconductor? Describe the two main types of semiconductors and contrast their conduction mechanism.
Answer:Semiconductors can be defined as the solids having intermediate range of conductivity, i.e. from 10-6 to 104 ohm-1m-1. They are of two types
1) n – type semiconductors
2) p – type semiconductors.
n- type semiconductors:-
Semiconductor formed by doping with electron rich impurities to increase their conductivity are called n – type semiconductors.
For example, silicon and germanium, each has four valance electrons as they belong to group 14th of the periodic table. Arsenic and phosphorus belong to the 15th group of the table and they have valance electrons equal to 5. When silicon or germanium is doped with phosphorus or arsenic, four electrons of phosphorus or arsenic out of five; make covalent bonds with four electrons of silicon or germanium leaving one electron free; which increases the electrical conductivity of silicon and germanium. Since the electrical conductivity of silicon and phosphorus is increased because of negatively charged particle (electron), thus this is known as n – type semiconductor.
P – type semiconductor :-
Semiconductors formed by doping with electron deficient impurities; to increase their conductivity; are called p- type semiconductors. In p – type semiconductors, conductivity increases because of formation of electron holes.
For example – electrical conductivity of Silicon and Germanium is doped with elements, such as Boron, aluminium or gallium having valance elentrons equal to 3. Three valance electrons present in these electrons delocalized. The place from where one electron is missing is called the electron hole or electron valance. When the silicon or gallium is placed under electrical field, electron from neighbouring atoms fill the electron hole, but in doing so another electron hole is created at the place of movement of electron. in the influence of electrical field electrons move towards positively charged plate through electron hole as appearing the electron hole as positively charged and are moving towards negatively charged plate.
Question 26.Non-stoichiometric cuprous oxide, Cu2O can be prepared in laboratory. In this oxide, copper to oxygen ratio is slightly less than 2:1. Can you account for the fact that this substance is a p-type semiconductor?
Answer:When cuprous oxide is prepared in laboratory, the ratio of copper to the oxygen in the compound becomes slightly less that 2:1. This happens because some of the Cu+ ions are replaced by Cu2+ ions. In this process, one Cu2+ ion is replaced by two Cu+ ions. As two Cu+ ions are replaced by one Cu2+, this creates a defect because of vacant space, i.e. positive hole. Because of the creation of holes due to this defect, this compound conducts electricity through these positive holes. As semiconductors which are formed by electron deficient impurities are called the p – type semiconductors; thus cuprous oxides so formed in laboratory are p – type semiconductors.
Question 27.Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of the ferric oxide.
Answer:Given,
Ferric oxide crystalizes in a hexagonal close packed array of oxide ions.
Two out of every three octahedral holes are occupied by ferric ions.
Let the number of oxide ions = x
Since, two out of every three octahedral holes are fitted by ferric ions.
Thus, voids filled by ferric ions
(Fe3+) ![](data:image/png;base64,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)
Therefore, number of ferric ions
(Fe3+) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACEAAAAgCAMAAACrZuH4AAAAAXNSR0IArs4c6QAAAHJQTFRFAAAAAAAAAAA6ADo6ADpmADqQAGa2OgAAOgA6OjoAOma2OpDbZgAAZgA6ZjoAZpDbZrbbZrb/kDoAkDo6kGY6kLbbkLb/kNv/tmYAttv/25A625Bm27Zm27aQ29u22////7Zm/7aQ/9uQ/9u2//+2///bgawnigAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAqElEQVQ4T72S3Q7CIAyFKRNx0zn/QUCHCO//igKJXjFAk9krEr6ec9oUodnqvgXocuq2PyOFWSGAWZUIsS5IqGwM3yxKgPaA3mds7AZ85YjZ9pwR5iFUrOKa3yqfjvioCv2DS5XuPyDZAh5yRu5Ye6SKYmYoSYs9Tzv/ockoujFJcGgCgUQzHedGw4HJliQlbM+QCcTj4g6La8pF0jitpEvHYSLpd1t/AU+dBzi9qq0bAAAAAElFTkSuQmCC)
Now, the ratio of ferric ions to the oxide ions
i.e. Fe3+ : O2- = ![](data:image/png;base64,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)
= Fe3+ : O2- =
= 2 : 3
Thus, formula of ferric oxide is Fe2O3 .
Question 28.Classify each of the following as being either a p-type or a n-type semiconductor:
Ge doped with In
Answer:‘Ge’ belongs to group 14th in th periodic table and ‘In” belongs to the group 13th . thus, when ‘Ge’ is doped with ‘In’, it makes hole or electron vacancy and acts as p – type conductor.
Question 29.Classify each of the following as being either a p-type or a n-type semiconductor:
Si doped with B.
Answer:‘Si’ belongs to group 14th in the periodic table and ‘B’ belongs to group 13th. Thus, when ‘Si’ is doped with “B’, it makes hole or electron valance and acts as p – type conductor.
Question 30.Gold (atomic radius = 0.144 nm) crystallises in a face-centred unit cell. What is the length of a side of the cell?
Answer:Given, atomic radius = 0.144 nm
Type of unit cell = face centered
We know that side (a) in fcc ![](data:image/png;base64,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)
Thus, a =
0.144 nm
a = 2 × 1.414 × 0.144 = 407 nm.
Thus the side of the given cell = 407 nm.
Question 31.In terms of band theory, what is the difference?
Between a conductor and an insulator
Answer:In conductors there is no energy gap between the valance band, which facilitates the flow of electrons easily under an applied electric field and metals show conductivity. While in insulators there is no energy gap between the valance band and electrons cannot jump to it i.e. large energy gap prevents the flow of electricity.
Question 32.In terms of band theory, what is the difference between a conductor and a semiconductor?
Answer:- In case of conductor, the gap between the valence band and conductor band is very small or overlaps that's why under an applied electric field the conductor (metals) shows conductivity (electron can flow easily).
- In insulator the gap between the filled valence band and the next higher energy unoccupied band (conductions band) is large, an electron cannot jump to it and such substance has very small conductivity and it behaves as an insulator.
Question 33.Explain the following terms with suitable examples:
Schottky defect
Answer:When cations and anions both are missing from regular sites, the defect is called Schottky Defect. In Schottky Defects, the number of missing cations is equal to the number of missing anions in order to maintain the electrical neutrality of the ionic compound. Scottky Defect is type of simple vacancy defect and shown by ionic solids having cations and anions; almost similar in size, such as NaCl, KCl, CsCl, etc. AgBr shows both types of defects, i.e. schottky and Frenkel Defects. Since, Schottky Defects arises because of mission of constituent particles, thus it decreases the density of ionic compound.
Question 34.Explain the following terms with suitable examples:
Frenkel defect
Answer:It is a type of vacancy defect. In ionic compounds, some of the ions (usually smaller in size) get dislocated from their original site and create defect. This defect is known as frenkel defect. Since this defect arises because of dislocation of ions, thus it is also known as dislocation defect. As there are a number of cations and anions (which remain equal even because of defect); the density of the substance does nnot increase or decrease. Ionic compounds; having large difference in the size between their cations and anions; show Frenkel Defect, such as ZnS, AgCl, AgBr, AgI, etc. these compounds have similar size of cations compared to anions.
Question 35.Explain the following terms with suitable examples:
Interstitials
Answer:Sometimes in the formation of lattice structure some of the atoms or ions occupy vacant interstitial site, and are known as interstitials. These interstitials are generally small size non- metals, such as H, B, C, etc. Defect arises because of interstitials is called the interstitial defect.
Question 36.Explain the following terms with suitable examples:
F-centres.
Answer:This is a type of defect and is also called as the metal access defect. These type of defects are seen because of missing of anions from regular site leaving a hole which is occupied by electron to maintain the neutrality of the compound. Hole occupied by electron is called F – centre and is responsible for showing colour by the compound.
Question 37.Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm.
(i) What is the length of the side of the unit cell?
(ii) How many unit cells are there in 1.00 cm3 of aluminium?
Answer:Given, radius of atom = 125 pm
i) for ccp structure, we know that
![](data:image/png;base64,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)
where, r = radius and a = length of side
125 pm![](data:image/png;base64,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)
a = 125 ×
pm
a = 125 × 2 × 1.414 pm
a = 353.5 pm
ii) volume of one unit cell = a3
= (353.5 × 1- -3cm)3
= 44192902.36 × 10-30
= 442 × 10 -25 cm 3
Thus, number of unit cell of aluminium in 1 cm3
=
= 2.27 × 10 22 unit cell.
Question 38.If NaCl is doped with 10–3 mol % of SrCl2, what is the concentration of cation vacancies?
Answer:We know that two Na 2+ ions are replaced by each of the Sr2+ ions while SrCl2 is doped with NaCl. But in this case only one lattice point is occupied by each other of the Sr2+ ion and produce one cation vacancy. Here 10-3 mole of SrCl2 is doped with 100 moles of NaCl.
Thus, cation vacancies produced by NaCl = 10 -3mol
Therefore, 1 mole of NaCl will produce cation vacancies after doping
=
= 10-5 mol
Therefore, total cationic vacancies
= 10-5 × Avogadro’s number
= 10-5 × 6.022 × 10 23
= 6.023 × 10 -18 vacancies.
Question 39.Explain the following with suitable examples:
Ferromagnetism
Answer:1. Substances that are attracted strongly with magnetic field are called ferromagnetic substances, such as Cobalt, Nickel, Iron, gadolium, chromium oxide, etc.
2. Ferromagnetic substances are permanently magnetized.
3. Metal ions of ferromagnetic substances are randomly oriented in normal condition and substances do not act as a magnet.
4. But when metal ions are grouped together in small regions, called domains, each domain acts as a tiny magnet and produces strong magnetic field, in such condition ferromagnetic substances becomes a permanent magnet.
Question 40.Explain the following with suitable examples:
Paramagnetism
Answer:The substances which are attracted slightly by magnetic field and fo not retain the magnetic property after removal of magnetic field are called paramagnetic substances. For example, o2, Cu2+,Fe3+,Cr3+, magnesium, lithium, etc. substance show paramagnetism because of the presence of unpaired electrons. These unpaired electrons are attracted by magnetic field.
Question 41.Explain the following with suitable examples:
Ferrimagnetism
Answer:Substances which are slightly attracted in magnetic field and in which domains are grouped in parallel and anti – parallel direction but in unequal number, are called ferromagnetic substances and this property is called as ferromagnetism.
For example, magnetite (Fe3O4), ferrite (MgFe2O4), ZnFe2O4, etc.
Question 42.Explain the following with suitable examples:
Antiferromagnetism
Answer:Substances in which domain structure are similar to ferromagnetic substances but are oriented to oppositely, which cancel the magnetic property are called antiferromagnetic substances and this property is called antiferromagnetism. For example, MnO.
Question 43.Explain the following with suitable examples:
12-16 and 13-15 group compounds.
Answer:Compounds belong to 12 – 16 group are formed by combination of elements of 12 and 16 groups. For example – ZnS, Cds, etc.
Compounds belong to 13 – 15 groups are formed by the combination of the elements of 13 and 15groups, for example, InSb, GaAs, etc.
Bonds in these compounds are not perfectly covalent. The ionic bonds in these compounds depend s on the electronegativity of the two elements.
Define the term 'amorphous'. Give a few examples of amorphous solids.
Answer:
Solids having constituent particles with irregular with shapes and short range order are called amorphous solids. Amorphous solids are isotropic in nature and melt over a range of temperature. Thus, amorphous solids are also referred as pseudo solids or super cooled liquids. They do not do not have definite heat of fusion. These solids give irregular surfaces, cut with sharp tool. Glass, rubber, etc. are some examples of amorphous solid.
Question 2.
What makes a glass different from a solid such as quartz? Under what conditions quartz could be converted into glass?
Answer:
It is the arrangement of constituent particles of glass which makes it different from quartz. The constituent particles of glass have short range order while quartz has constituent particles in long range order both by heating and cooling rapidly can be converted into glass.
Question 3.
Classify each of the following solids as ionic, metallic, molecular, network (covalent) or amorphous.
(i) Tetra phosphorus decoxide (P4O10) (vii) Graphite
(ii) Ammonium phosphate (NH4)3PO4 (viii) Brass
(iii) SiC (ix) Rb
(iv) I2 (x) LiBr
(v) P4 (xi) Si
(vi) Plastic
Answer:
(i) Tetra phosphorous decoxide (P4O10): molecular
Explanation: Molecular solids are made up on molecules or inert gases.
(ii) Ammonium phosphate (NH4)3PO4: Ionic
Explanation: Ionic solids are those in which constituents particles are cations and anions which are held together by coulombic force of interactions
e.g.- K2SO4⇒ 2K+ + SO4—
(iii) SiC: Covalent (network)
Explanation: In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
(iv) I2 :molecular
Explanation: Molecular solids are made up on molecules or inert gases.
(v) P4: Molecular
Explanation: Molecular solids are made up on molecules or inert gases.
(vi) Plastic: Amorphous
Explanation: Amorphous solids are not true solids, in these solids the constituent particles (atoms, ions or molecules) have short range order of arrangement.
(vii) Graphite: Covalent (network)
Explanation: In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
(viii) Brass: Metallic
Explanation: Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
(ix) Rb: Metallic
Explanation: Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
(x) LiBr: Metallic
Explanation: Metallic solids are metals in which metal ions (also called kernals) are held together by metallic bonds.)
(x) Si : Covalent (network)
Explanation: In covalent solids constituent particles are atoms which are held together by continuous system of covalent bonds.
Question 4.
What is meant by the term 'coordination number'?
Answer:
Coordination number is the number of nearest neighbours of any constituent particles present in the crystal lattice.
Question 5.
What is the coordination number of atoms:
(a) in a cubic close-packed structure?
(b) in a body-centred cubic structure?
Answer:
(a) In a cubic close- packed structure is 12.
(b) In a body- centered cubic structure is 8.
Question 6.
How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.
Answer:
The atomic mass of an unknown metal can be determined by knowing its density and the dimension of unit cell.
Let ‘a’ be the edge length of a unit cell of a crystal.
‘d’ is the density of the metal
‘m’ is the atomic mass of the metal.
‘z’ is the number of atoms in the unit cell.
Now, the density of the unit cell
As we know that, mass of the unit cell = Number of atoms in the unit cell × atomic mass
And the volume of the unit cell = (Edge length of the cubic unit cell)3
Therefore, d --------- (i)
---------------- (ii)
Now, since mass of the metal (m)
Therefore, from equation (ii) we have
--------------- (iii)
If the edge lengths are different (say a, b and c), therefore, equation (iii) can be written as
----------- (iv)
Thus, using equation (iii) and the atomic mass of an unknown metal can be determined.
Question 7.
'Stability of a crystal is reflected in the magnitude of its melting points'. Comment. Collect melting points of solid water, ethyl alcohol, diethyl ether and methane from a data book. What can you say about the intermolecular forces between these molecules?
Answer:
The melting points of the given substance are as follows:
Solid water – 273 K
Ethyl alcohol – 158.8 K
Diethyl ether – 156.85 K
Methane – 89.34 K
As we can see the melting point of solid water is highest and melting point of methane is lowest among the given substance. This says that intermolecular force in solid water is strongest and the intermolecular force in methane is weakest.
Question 8.
How will you distinguish between the following pairs of terms:
Hexagonal close-packing and cubic close-packing?
Answer:
Question 9.
How will you distinguish between the following pairs of terms:
Crystal lattice and unit cell?
Answer:
Question 10.
How will you distinguish between the following pairs of terms:
Tetrahedral void and octahedral void?
Answer:
Question 11.
How many lattice points are there in one unit cell of each of the following lattice?
Face-centred cubic
Answer:
One unit cell of a face- centered cubic has 8 lattice points are corners and 6 lattice points at faces, total 14 lattice points.
Question 12.
How many lattice points are there in one unit cell of each of the following lattice?
Face-centred tetragonal
Answer:
One unit cell of face- centered tetragonal has 8 lattice points are corners and 6 lattice points at faces, total 14 lattice points.
Question 13.
How many lattice points are there in one unit cell of each of the following lattice?
Body-centred
Answer:
One unit cell of body centered has 8 lattice points are corners and 1 lattice points at faces, total 9 lattice points.
Question 14.
Explain
The basis of similarities and differences between metallic and ionic crystals.
Answer:
Question 15.
Explain
Ionic solids are hard and brittle.
Answer:
Ionic solids are hard and brittle because in ionic solids the constituent particles are ions and they are held together in 3- dimensional arrangements by the electrostatic force of attraction. So, due to strong electrostatic force, these charged ions are held together in fixed position.
Question 16.
Calculate the efficiency of packing in case of a metal crystal for
simple cubic
Answer:
In a simple cubic lattice the atoms are located only at the corners of the cube.
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The relation between radius and edge a
Can be given as a = 2r
The volume of the cubic unit cell = side3 = a3
= (2r3)
= 8r3
Number of atoms in unit cell
The volume of the occupied space
And we know that, the packing efficiency
= 52.36%
Question 17.
Calculate the efficiency of packing in case of a metal crystal for
body-centred cubic
Answer:
Let us assume the edge length or the side of the cube = a
And the radius of each particle = r
The diagonal of a cube is always a
The relation between radius and the edge will be = 4r
Divide by root 3 we get, A
Total number of atoms in body centered cubic
Number of atoms at the corner
Number of atoms at the centre = 1
Total number of atoms = 2
The volume of the cubic unit cell
= side3
= a3
The volume of the occupied space
Packing efficiency
= 68%
Question 18.
Calculate the efficiency of packing in case of a metal crystal for
face-centred cubic (with the assumptions that atoms are touching each other).
Answer:
Let the base of the hexagon is a and the height is c
Each angle in hexagonal will be 60 degree at the base
Packing efficiency of Hexagonal close- packed lattice
a = 2r c = 1.633a
= 74%
Question 19.
Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10–8 cm and density is 10.5 g cm–3, calculate the atomic mass of silver.
Answer:
Given edge length (a) = 4.07 × 10 -8 cm
Density (d) = 10.5gcm-1
For fcc number of atoms per unit cell (z) = 4
Avagadro number NA = 6.022 × 1023mol-1
We know that, Atomic mass (M)
(M)
Thus, M
⇒ M = 106.5 mol-1
Question 20.
A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body-centre. What is the formula of the compound? What are the coordination numbers of P and Q?
Answer:
Given. Atoms of Q are the corners of the cube and P at the body- centre
Therefore, Number of atoms of Q in one unit cell
Number of atoms of P in one unit cell =1
Therefore, Ratio of P and Q atoms = P:Q = 1:1
Therefore, formula of the given compound = PQ
Since it is bcc
Therefore, coordinate number of P and Q = 8
Question 21.
Niobium crystallises in body-centred cubic structure. If density is 8.55 g cm–3, calculate atomic radius of niobium using its atomic mass 93 u.
Answer:
Given density (d) = 8.55 g cm-3
Atomic mass (M) = 93u = 93 g mol-1
To find: - atomic radius, r =__
We know, Avogadro Number NA = 6.022 × 1023 mol-1
Since, given lattice in bcc
Therefore, Number of atoms per unit cell (z) = 2
We know that,
⇒ a3 = 36.124 × 10-24 cm3
⇒ a = 3.3057 × 10-8 cm
for bcc unit cell radius(r) = a/4
Therefore, r = /4 × 3.3057 × 10-8 cm
r = 1.732/4 × 3.3057 × 10-8 cm
r = 5.725/4 × 10-8 cm
r = 14.31 × 10-9
r = 14.31 nm.
Thus the atomic radius of niobium = 14.31 nm.
Question 22.
If the radius of the octahedral void is r and radius of the atoms in close packing is R, derive relation between r and R.
Answer:
In the given figure, let the sphere have the centre, O and is fitted in the octahedral void.
As given, radius of the sphere fitted in the octahedral void = r
And the radius of the atoms in close packing = R
Here, angle AOD = 900
In triangle AOD,
DA2 = OA2 + OD2
⇒ (R+R)2 = ( R + r )2+ (R+r)2
⇒ 4R2 = 2(R+r)2
⇒ 2R2 = (R+r)2
⇒ √2 R = (R+r)
⇒ R + r = R
⇒ r = R – R
⇒ r = R (1.414 - 1)
⇒ r = 0.414 R
This is the required relation between r and R.
Question 23.
Copper crystallises into a fcc lattice with edge length 3.61 × 10–8 cm. Show that the calculated density is in agreement with its measured value of 8.92 g cm–3.
Answer:
Given, edge length (a) = 3.61 × 10 -8 cm
Given lattice is fcc, therefore, no. of atoms per unit cell (z) = 4
We know, atomic mass f copper = 63.5 g/mol
Avogadro number, N A = 6.022 × 1023 g/mol
To prove, density (d) = 8.92 g cm-3
We know that, density
d = 8.9657 cm-1
Hence, the calculated density = the density of copper = = 8.9657 cm-1
Question 24.
Analysis shows that nickel oxide has the formula Ni0.98O1.00. What fractions of nickel exist as Ni2+ and Ni3+ ions?
Answer:
Given formula of nickel oxide = Ni0.98O1.00
Therefore, Ni:O = 0.98:1.00
Let the total no. of Ni ion = 98and, the total no. of O ion = 100
So, Total charge on O-2 ion = 100 × (-2) = -200
Now, let the number of Ni2+ ions = x
Therefore, number of Ni+3 = 98- x
Now, since compound is neutral
Therefore, no. of Ni2+ ions + no. of Ni3+ ions +no. of O-2 ions = 0
x (+2) + (98 - x) × (+3) + (-200) = 0
+2x + 294 - 3x – 200 =0
x-94 = 0
x = 94
Therefore, the number of Ni2+ ions = 94
Number of ni3+ ions = 98- 94 = 4
Now, fraction of nickel exists as Ni2+ = 0.959
Fraction of nickel exists as Ni 3+ ions = 0.041
Question 25.
What is a semiconductor? Describe the two main types of semiconductors and contrast their conduction mechanism.
Answer:
Semiconductors can be defined as the solids having intermediate range of conductivity, i.e. from 10-6 to 104 ohm-1m-1. They are of two types
1) n – type semiconductors
2) p – type semiconductors.
n- type semiconductors:-
Semiconductor formed by doping with electron rich impurities to increase their conductivity are called n – type semiconductors.
For example, silicon and germanium, each has four valance electrons as they belong to group 14th of the periodic table. Arsenic and phosphorus belong to the 15th group of the table and they have valance electrons equal to 5. When silicon or germanium is doped with phosphorus or arsenic, four electrons of phosphorus or arsenic out of five; make covalent bonds with four electrons of silicon or germanium leaving one electron free; which increases the electrical conductivity of silicon and germanium. Since the electrical conductivity of silicon and phosphorus is increased because of negatively charged particle (electron), thus this is known as n – type semiconductor.
P – type semiconductor :-
Semiconductors formed by doping with electron deficient impurities; to increase their conductivity; are called p- type semiconductors. In p – type semiconductors, conductivity increases because of formation of electron holes.
For example – electrical conductivity of Silicon and Germanium is doped with elements, such as Boron, aluminium or gallium having valance elentrons equal to 3. Three valance electrons present in these electrons delocalized. The place from where one electron is missing is called the electron hole or electron valance. When the silicon or gallium is placed under electrical field, electron from neighbouring atoms fill the electron hole, but in doing so another electron hole is created at the place of movement of electron. in the influence of electrical field electrons move towards positively charged plate through electron hole as appearing the electron hole as positively charged and are moving towards negatively charged plate.
Question 26.
Non-stoichiometric cuprous oxide, Cu2O can be prepared in laboratory. In this oxide, copper to oxygen ratio is slightly less than 2:1. Can you account for the fact that this substance is a p-type semiconductor?
Answer:
When cuprous oxide is prepared in laboratory, the ratio of copper to the oxygen in the compound becomes slightly less that 2:1. This happens because some of the Cu+ ions are replaced by Cu2+ ions. In this process, one Cu2+ ion is replaced by two Cu+ ions. As two Cu+ ions are replaced by one Cu2+, this creates a defect because of vacant space, i.e. positive hole. Because of the creation of holes due to this defect, this compound conducts electricity through these positive holes. As semiconductors which are formed by electron deficient impurities are called the p – type semiconductors; thus cuprous oxides so formed in laboratory are p – type semiconductors.
Question 27.
Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of the ferric oxide.
Answer:
Given,
Ferric oxide crystalizes in a hexagonal close packed array of oxide ions.
Two out of every three octahedral holes are occupied by ferric ions.
Let the number of oxide ions = x
Since, two out of every three octahedral holes are fitted by ferric ions.
Thus, voids filled by ferric ions
(Fe3+)
Therefore, number of ferric ions
(Fe3+)
Now, the ratio of ferric ions to the oxide ions
i.e. Fe3+ : O2- =
= Fe3+ : O2- = = 2 : 3
Thus, formula of ferric oxide is Fe2O3 .
Question 28.
Classify each of the following as being either a p-type or a n-type semiconductor:
Ge doped with In
Answer:
‘Ge’ belongs to group 14th in th periodic table and ‘In” belongs to the group 13th . thus, when ‘Ge’ is doped with ‘In’, it makes hole or electron vacancy and acts as p – type conductor.
Question 29.
Classify each of the following as being either a p-type or a n-type semiconductor:
Si doped with B.
Answer:
‘Si’ belongs to group 14th in the periodic table and ‘B’ belongs to group 13th. Thus, when ‘Si’ is doped with “B’, it makes hole or electron valance and acts as p – type conductor.
Question 30.
Gold (atomic radius = 0.144 nm) crystallises in a face-centred unit cell. What is the length of a side of the cell?
Answer:
Given, atomic radius = 0.144 nm
Type of unit cell = face centered
We know that side (a) in fcc
Thus, a = 0.144 nm
a = 2 × 1.414 × 0.144 = 407 nm.
Thus the side of the given cell = 407 nm.
Question 31.
In terms of band theory, what is the difference?
Between a conductor and an insulator
Answer:
In conductors there is no energy gap between the valance band, which facilitates the flow of electrons easily under an applied electric field and metals show conductivity. While in insulators there is no energy gap between the valance band and electrons cannot jump to it i.e. large energy gap prevents the flow of electricity.
Question 32.
In terms of band theory, what is the difference between a conductor and a semiconductor?
Answer:
- In case of conductor, the gap between the valence band and conductor band is very small or overlaps that's why under an applied electric field the conductor (metals) shows conductivity (electron can flow easily).
- In insulator the gap between the filled valence band and the next higher energy unoccupied band (conductions band) is large, an electron cannot jump to it and such substance has very small conductivity and it behaves as an insulator.
Question 33.
Explain the following terms with suitable examples:
Schottky defect
Answer:
When cations and anions both are missing from regular sites, the defect is called Schottky Defect. In Schottky Defects, the number of missing cations is equal to the number of missing anions in order to maintain the electrical neutrality of the ionic compound. Scottky Defect is type of simple vacancy defect and shown by ionic solids having cations and anions; almost similar in size, such as NaCl, KCl, CsCl, etc. AgBr shows both types of defects, i.e. schottky and Frenkel Defects. Since, Schottky Defects arises because of mission of constituent particles, thus it decreases the density of ionic compound.
Question 34.
Explain the following terms with suitable examples:
Frenkel defect
Answer:
It is a type of vacancy defect. In ionic compounds, some of the ions (usually smaller in size) get dislocated from their original site and create defect. This defect is known as frenkel defect. Since this defect arises because of dislocation of ions, thus it is also known as dislocation defect. As there are a number of cations and anions (which remain equal even because of defect); the density of the substance does nnot increase or decrease. Ionic compounds; having large difference in the size between their cations and anions; show Frenkel Defect, such as ZnS, AgCl, AgBr, AgI, etc. these compounds have similar size of cations compared to anions.
Question 35.
Explain the following terms with suitable examples:
Interstitials
Answer:
Sometimes in the formation of lattice structure some of the atoms or ions occupy vacant interstitial site, and are known as interstitials. These interstitials are generally small size non- metals, such as H, B, C, etc. Defect arises because of interstitials is called the interstitial defect.
Question 36.
Explain the following terms with suitable examples:
F-centres.
Answer:
This is a type of defect and is also called as the metal access defect. These type of defects are seen because of missing of anions from regular site leaving a hole which is occupied by electron to maintain the neutrality of the compound. Hole occupied by electron is called F – centre and is responsible for showing colour by the compound.
Question 37.
Aluminium crystallises in a cubic close-packed structure. Its metallic radius is 125 pm.
(i) What is the length of the side of the unit cell?
(ii) How many unit cells are there in 1.00 cm3 of aluminium?
Answer:
Given, radius of atom = 125 pm
i) for ccp structure, we know that
where, r = radius and a = length of side
125 pm
a = 125 × pm
a = 125 × 2 × 1.414 pm
a = 353.5 pm
ii) volume of one unit cell = a3
= (353.5 × 1- -3cm)3
= 44192902.36 × 10-30
= 442 × 10 -25 cm 3
Thus, number of unit cell of aluminium in 1 cm3
=
= 2.27 × 10 22 unit cell.
Question 38.
If NaCl is doped with 10–3 mol % of SrCl2, what is the concentration of cation vacancies?
Answer:
We know that two Na 2+ ions are replaced by each of the Sr2+ ions while SrCl2 is doped with NaCl. But in this case only one lattice point is occupied by each other of the Sr2+ ion and produce one cation vacancy. Here 10-3 mole of SrCl2 is doped with 100 moles of NaCl.
Thus, cation vacancies produced by NaCl = 10 -3mol
Therefore, 1 mole of NaCl will produce cation vacancies after doping
= = 10-5 mol
Therefore, total cationic vacancies
= 10-5 × Avogadro’s number
= 10-5 × 6.022 × 10 23
= 6.023 × 10 -18 vacancies.
Question 39.
Explain the following with suitable examples:
Ferromagnetism
Answer:
1. Substances that are attracted strongly with magnetic field are called ferromagnetic substances, such as Cobalt, Nickel, Iron, gadolium, chromium oxide, etc.
2. Ferromagnetic substances are permanently magnetized.
3. Metal ions of ferromagnetic substances are randomly oriented in normal condition and substances do not act as a magnet.
4. But when metal ions are grouped together in small regions, called domains, each domain acts as a tiny magnet and produces strong magnetic field, in such condition ferromagnetic substances becomes a permanent magnet.
Question 40.
Explain the following with suitable examples:
Paramagnetism
Answer:
The substances which are attracted slightly by magnetic field and fo not retain the magnetic property after removal of magnetic field are called paramagnetic substances. For example, o2, Cu2+,Fe3+,Cr3+, magnesium, lithium, etc. substance show paramagnetism because of the presence of unpaired electrons. These unpaired electrons are attracted by magnetic field.
Question 41.
Explain the following with suitable examples:
Ferrimagnetism
Answer:
Substances which are slightly attracted in magnetic field and in which domains are grouped in parallel and anti – parallel direction but in unequal number, are called ferromagnetic substances and this property is called as ferromagnetism.
For example, magnetite (Fe3O4), ferrite (MgFe2O4), ZnFe2O4, etc.
Question 42.
Explain the following with suitable examples:
Antiferromagnetism
Answer:
Substances in which domain structure are similar to ferromagnetic substances but are oriented to oppositely, which cancel the magnetic property are called antiferromagnetic substances and this property is called antiferromagnetism. For example, MnO.
Question 43.
Explain the following with suitable examples:
12-16 and 13-15 group compounds.
Answer:
Compounds belong to 12 – 16 group are formed by combination of elements of 12 and 16 groups. For example – ZnS, Cds, etc.
Compounds belong to 13 – 15 groups are formed by the combination of the elements of 13 and 15groups, for example, InSb, GaAs, etc.
Bonds in these compounds are not perfectly covalent. The ionic bonds in these compounds depend s on the electronegativity of the two elements.