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1.2 Opportunity Cost and the Production Possibilities Curve (PPC)

5 min readdecember 25, 2022

J

Jeanne Stansak

I

Isabela Padilha Vilela

J

Jeanne Stansak

I

Isabela Padilha Vilela

Introduction to the Production Possibilities Curve (PPC)

The production possibilities curve is the first graph that we study in microeconomics. 📈 It shows us all of the possible production combinations of goods, given a fixed amount of resources. In eceonomic analysis we have to develop assumptions to be able to draw conclusions. For the Production possibilities curve we assume three things when we are working with these graphs:

  • Only two goods can be produced
  • Resources are fixed
  • Technology is fixed

The production possibilities curve can illustrate several economic concepts including:

Efficiency

    • Allocative Efficiency - This efficiency means we are producing at the point that society desires. This is represented by a point on the production possibilities curve that meets the desires and needs of a particular society. If you are given the situation where a particular society needs about an equal amount of sugar and wheat then the allocative efficient point would be C.
    • - This efficiency means we are producing at a combination that minimizes costs. This is represented by any point on the production possibilities curve. In the below graph this is represented by points A, B, C, D, and E.
    • Point F in the graph below represents an inefficient use of resources. You can produce at this point, but you are not using all your resources as efficiently as possible.
    • Point G represents a production level that is unattainable. At this point, you do not have the needed amounts of resources to produce the number of goods shown.
    • Any point below point F is considered extreme inefficiency and could be an indicator of a severe recession.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-Y5iLBGpyw0RM.PNG?alt=media&token=d33825aa-b88a-4e3c-8df8-876b2d4ff01b

    Scarcity

    Since is a situation where there are limited resources versus unlimited wants, a production possibilities curve is used to show how we produce goods and services under this condition. This is shown in the graph above by showing how, given a fixed set of resources, we can produce either combination A, B, C, D, or E.

    Opportunity Cost/Per-Unit Opportunity Cost

    This is the value of the next best alternative. We represent this as what we are losing when we change our production combination. For example, moving from A to B on the graph above has an of 10 units of sugar. is determined by dividing what you are giving up by what you are gaining. So for the graph above, the when moving from point A to point B is 1/4 unit of sugar (10 sugar / 40 wheat). can also be determined using a production possibilities table:

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-wQj2YiMOaD7o.png?alt=media&token=8f0335f8-5b8d-4de7-8f00-9c140baddb52

    The of moving from point C to D is 40 tons of oranges. The of moving from point C to point D is 1/2 ton of oranges (40 tons of oranges/80 tons of pears).

    Formulas to Calculate Opportunity Cost

      • The for GOOD X = Δ Good Y Production/Δ Good X Production
      • The for GOOD X = Time to Make 1 Unit of GOOD X/Time to Make 1 Unit of GOOD Y

    Economic Growth

    is shown by a shift to the right of the production possibilities curve.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-9bzB8CcPiEl0.png?alt=media&token=c4a07d39-60e0-4223-834f-549eeef891fa

    If a country produces more capital goods than consumer goods, the country will have greater in the future. If the country illustrated below produces at point B, they will see more than if they produce at point D. Since capital goods are tools and machinery, the increased production of them will lead to more production of consumer goods in the future, causing more .

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-dZfNWJUthABb.png?alt=media&token=e625a6d5-e820-448e-a768-d67ed2e0f9de

    Economic Contraction

    is shown by a leftward shift of the production possibilities curve.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-RxeMUWFFrxTh.png?alt=media&token=9dfe532d-14fb-48c0-a6be-912083f5c253

    Constant Opportunity Cost vs. Increasing Opportunity Cost

    The production possibilities curve can illustrate two types of opportunity costs. Increasing opportunity costs occurs when you produce more and more of one good and you give up more and more of another good. This occurs when resources are less adaptable when moving from the production of one good to the production of another good. occurs when the stays the same as you increase your production of one good. This indicates that the resources are easily adaptable from the production of one good to the production of another good.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-9OHX6WJVNtjy.png?alt=media&token=362d1c33-f786-4e7d-8c8f-ea72ebac73fd

    The graph on the left shows and the graph on the right shows . The graph on the left shows because as you move from point A to B you give up 10 pizzas but as you move from point B to C you give up 30 pizzas. The graph on the right shows constant opportunity costs because when you move from point A to point B you give up 10 pizzas and when you move from point B to point C you give up 10 pizzas.

    There is a nother type of graph which is the decreasing curve that is not possible in real life. This is what the graph looks like:

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreen%20Shot%202022-12-25%20at%209.29-E3MtD4TdxCWb.png?alt=media&token=79b09bca-437f-47d8-b8b1-766c309047a2

    Shifters of the Production Possibilities Curve (PPC)

    There are several factors that can cause the production possibilities curve to shift. These factors include:

    1. Change in the quantity or quality of resources 🌍

    2. Change in technology 💻

    3. Trade 🔁

    The production possibilities curve can show how these changes affect it as well as illustrate a change in and inefficiency.

    Here are some scenarios that illustrate these shifters:

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-m9vtkYYjf4jf.png?alt=media&token=abadd166-1560-4d52-bcba-6252d5c25300

    The graph on the left shows how an improvement in the quality of resources impacts the graph. The graph on the right shows what happens when a country is producing at an inefficient point.

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

    The graph on the left shows a technology change that just impacts one good that a country produces, and the graph on the right shows what happens when the quantity of resources changes (i.e. number of workers decrease).

Key Terms to Review (10)

Constant Opportunity Cost

: Constant opportunity cost refers to a situation where the opportunity cost remains unchanged as more units of a particular good are produced. This implies that resources are equally efficient in producing different goods.

Economic Contraction

: Economic contraction refers to a period when there is a decline in an economy's production capacity, resulting in a decrease in real GDP. It is often associated with a slowdown or recession.

Economic Growth

: Economic growth refers to an increase in an economy's production capacity over time, resulting in higher levels of real GDP (gross domestic product). It is typically measured by the annual percentage change in real GDP.

Increasing Opportunity Cost

: Increasing opportunity cost refers to the concept that as more of a particular good is produced, the opportunity cost of producing additional units of that good increases. This occurs because resources are not equally suited for producing all goods.

Opportunity cost

: Opportunity cost refers to the value of the next best alternative that must be forgone when making a choice between two or more options. It represents what you give up in order to choose something else.

Per-Unit Opportunity Cost

: Per-Unit Opportunity Cost refers to the cost of choosing one alternative over another, measured in terms of the next best alternative forgone per unit. It represents the trade-off between two options.

Production Possibilities Curve (PPC)

: The Production Possibilities Curve (PPC), also known as the Production Possibility Frontier (PPF), is a graphical representation showing all possible combinations of two goods or services that can be produced using limited resources efficiently. It illustrates trade-offs and opportunity costs in an economy.

Productive Efficiency

: Productive efficiency refers to the state in which an economy is producing goods and services at the lowest possible cost, given existing technology and resources. It means that resources are allocated in a way that maximizes output while minimizing waste.

Scarcity

: Scarcity refers to the limited availability of resources in relation to unlimited wants and needs. It means that there are not enough resources to satisfy all human desires.

Shifters of the Production Possibilities Curve

: Shifters of the production possibilities curve are factors that can cause an outward or inward shift in the PPC. These factors include changes in resource availability, technology, population size, and trade.

1.2 Opportunity Cost and the Production Possibilities Curve (PPC)

5 min readdecember 25, 2022

J

Jeanne Stansak

I

Isabela Padilha Vilela

J

Jeanne Stansak

I

Isabela Padilha Vilela

Introduction to the Production Possibilities Curve (PPC)

The production possibilities curve is the first graph that we study in microeconomics. 📈 It shows us all of the possible production combinations of goods, given a fixed amount of resources. In eceonomic analysis we have to develop assumptions to be able to draw conclusions. For the Production possibilities curve we assume three things when we are working with these graphs:

  • Only two goods can be produced
  • Resources are fixed
  • Technology is fixed

The production possibilities curve can illustrate several economic concepts including:

Efficiency

    • Allocative Efficiency - This efficiency means we are producing at the point that society desires. This is represented by a point on the production possibilities curve that meets the desires and needs of a particular society. If you are given the situation where a particular society needs about an equal amount of sugar and wheat then the allocative efficient point would be C.
    • - This efficiency means we are producing at a combination that minimizes costs. This is represented by any point on the production possibilities curve. In the below graph this is represented by points A, B, C, D, and E.
    • Point F in the graph below represents an inefficient use of resources. You can produce at this point, but you are not using all your resources as efficiently as possible.
    • Point G represents a production level that is unattainable. At this point, you do not have the needed amounts of resources to produce the number of goods shown.
    • Any point below point F is considered extreme inefficiency and could be an indicator of a severe recession.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-Y5iLBGpyw0RM.PNG?alt=media&token=d33825aa-b88a-4e3c-8df8-876b2d4ff01b

    Scarcity

    Since is a situation where there are limited resources versus unlimited wants, a production possibilities curve is used to show how we produce goods and services under this condition. This is shown in the graph above by showing how, given a fixed set of resources, we can produce either combination A, B, C, D, or E.

    Opportunity Cost/Per-Unit Opportunity Cost

    This is the value of the next best alternative. We represent this as what we are losing when we change our production combination. For example, moving from A to B on the graph above has an of 10 units of sugar. is determined by dividing what you are giving up by what you are gaining. So for the graph above, the when moving from point A to point B is 1/4 unit of sugar (10 sugar / 40 wheat). can also be determined using a production possibilities table:

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-wQj2YiMOaD7o.png?alt=media&token=8f0335f8-5b8d-4de7-8f00-9c140baddb52

    The of moving from point C to D is 40 tons of oranges. The of moving from point C to point D is 1/2 ton of oranges (40 tons of oranges/80 tons of pears).

    Formulas to Calculate Opportunity Cost

      • The for GOOD X = Δ Good Y Production/Δ Good X Production
      • The for GOOD X = Time to Make 1 Unit of GOOD X/Time to Make 1 Unit of GOOD Y

    Economic Growth

    is shown by a shift to the right of the production possibilities curve.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-9bzB8CcPiEl0.png?alt=media&token=c4a07d39-60e0-4223-834f-549eeef891fa

    If a country produces more capital goods than consumer goods, the country will have greater in the future. If the country illustrated below produces at point B, they will see more than if they produce at point D. Since capital goods are tools and machinery, the increased production of them will lead to more production of consumer goods in the future, causing more .

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-dZfNWJUthABb.png?alt=media&token=e625a6d5-e820-448e-a768-d67ed2e0f9de

    Economic Contraction

    is shown by a leftward shift of the production possibilities curve.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-RxeMUWFFrxTh.png?alt=media&token=9dfe532d-14fb-48c0-a6be-912083f5c253

    Constant Opportunity Cost vs. Increasing Opportunity Cost

    The production possibilities curve can illustrate two types of opportunity costs. Increasing opportunity costs occurs when you produce more and more of one good and you give up more and more of another good. This occurs when resources are less adaptable when moving from the production of one good to the production of another good. occurs when the stays the same as you increase your production of one good. This indicates that the resources are easily adaptable from the production of one good to the production of another good.

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-9OHX6WJVNtjy.png?alt=media&token=362d1c33-f786-4e7d-8c8f-ea72ebac73fd

    The graph on the left shows and the graph on the right shows . The graph on the left shows because as you move from point A to B you give up 10 pizzas but as you move from point B to C you give up 30 pizzas. The graph on the right shows constant opportunity costs because when you move from point A to point B you give up 10 pizzas and when you move from point B to point C you give up 10 pizzas.

    There is a nother type of graph which is the decreasing curve that is not possible in real life. This is what the graph looks like:

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreen%20Shot%202022-12-25%20at%209.29-E3MtD4TdxCWb.png?alt=media&token=79b09bca-437f-47d8-b8b1-766c309047a2

    Shifters of the Production Possibilities Curve (PPC)

    There are several factors that can cause the production possibilities curve to shift. These factors include:

    1. Change in the quantity or quality of resources 🌍

    2. Change in technology 💻

    3. Trade 🔁

    The production possibilities curve can show how these changes affect it as well as illustrate a change in and inefficiency.

    Here are some scenarios that illustrate these shifters:

    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-m9vtkYYjf4jf.png?alt=media&token=abadd166-1560-4d52-bcba-6252d5c25300

    The graph on the left shows how an improvement in the quality of resources impacts the graph. The graph on the right shows what happens when a country is producing at an inefficient point.

    data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA9gAAAHzCAYAAADb3rWtAAAgAElEQVR4AeydW4wUV5rnuRTXoqC4mbKhywVtmpJd7q520xijHi7t3YX2LpjqdY9Li3ZNl4UM40EwYiQzhXtLI2tAI1sgeYRYYY1Q81ISklWLPaOSpbHQ7jygmZfyPpUsrcTwsshP+I3Hs/pn+hQnIyMiIzIjIuPyO1IqIjMjTpz4ncj8zv+c73xnkSFBAAIQgAAEIAABCEAAAhCAAAQg0DGBRR3nUIAMxsfHzcGDBxdejx49KkCpKSIEIAABCECgvASwzeWtW+4MAhCAQJUJVEJgDw0NmUWLFi28Hjx4UOU6594hAAEIQAACXSeAbe56FVAACEAAAhBIgQACOwWoZAkBCEAAAhCAQDgBBHY4H76FAAQgAIFiEkBgF7PeKDUEIAABCECg0AQQ2IWuPgoPAQhAAAIBBBDYAWD4GAIQgAAEIACB9AggsNNjS84QgAAEINA9Agjs7rHnyhCAAAQgAIHKEkBgV7bquXEIQAACpSaAwC519XJzEIAABCAAgXwSQGDns14oFQQgAAEIdEYAgd0ZP86GAAQgAAEIQKANAgjsNqBxCgQgAAEI5J4AAjv3VUQBIQABCEAAAuUjgMAuX51yRxCAAAQgYAwCm6cAAhCAAAQgAIHMCSCwM0fOBSEAAQhAIAMCCOwMIHMJCEAAAhCAAAQaCSCwG3nwDgIQgAAEykEAgV2OeuQuIAABCEAAAoUigMAuVHVRWAhAAAIQiEgAgR0RFIdBAAIQgAAEIJAcAQR2cizJCQIQgAAE8kMAgZ2fuqAkEIAABCAAgcoQQGBXpqq5UQhAAAKVIoDArlR1c7MQgAAEIACBfBBAYOejHigFBCAAAQgkSwCBnSxPcoMABCAAAQhAIAIBBHYESBwCAQhAAAKFI4DALlyVUWAIQAACEIBA8QkgsItfh9wBBCAAAQg0E0BgNzPhEwhAAAIQgAAEUiaAwE4ZMNlDAAIQgEBXCCCwu4Kdi0IAAhCAAASqTQCBXe365+4hAAEIlJUAArusNct9QQACEIAABHJMAIGd48qhaBCAAAQg0DYBBHbb6DgRAhCAAAQgAIF2CSCw2yXHeRCAAAQgkGcCCOw81w5lgwAEIAABCJSUAAK7pBXLbUEAAhCoOIFKCOzh4WGzaNGihdfc3FzFq53bhwAEIAABCHSXALa5u/y5OgQgAAEIpEOgEgL74MGDC+JaQvvevXvp0CRXCEAAAhCAAAQiEcA2R8LEQRCAAAQgUDACCOyCVRjFhQAEIAABCJSBAAK7DLXIPUAAAhCAgJcAAttLhPcQgAAEIAABCKROAIGdOmIuAAEIQAACXSCAwO4CdC4JAQhAAAIQqDoBBHbVnwDuHwIQgEA5CSCwy1mv3BUEIAABCEAg1wQQ2LmuHgoHAQhAAAJtEkBgtwmO0yAAAQhAAAIQaJ8AArt9dpwJAQhAAAL5JYDAzm/dUDIIQAACEIBAaQkgsEtbtdwYBCAAgUoTQGBXuvq5eQhAAAIQgEB3CCCwu8Odq0IAAhCAQLoEENjp8iV3CEAAAhCAAAR8CCCwfaDwEQQgAAEIFJ4AArvwVcgNQAACEIAABIpHAIFdvDqjxBCAAAQg0JoAArs1I46AAAQgAAEIQCBhAgjshIGSHQQgAAEI5IIAAjsX1UAhIAABCEAAAtUigMCuVn1ztxCAAASqQgCBXZWa5j4hAAEIQAACOSKAwM5RZVAUCEAAAhBIjAACOzGUZAQBCEAAAhCAQFQCCOyopDgOAhCAAASKRACBXaTaoqwQgAAEIACBkhBAYJekIrkNCEAAAhBoIIDAbsDBGwhAAAIQgAAEsiDQSmDfvXvX9PT0mEWLFpm1a9eaubm5LIrFNSAAAQhAAAIdEUBgd4SPkyEAAQhAAAIQaIdAmMCWuN6yZUtNXEtg6zUwMGD0OQkCEIAABCCQZwII7DzXDmWDAAQgAAEIlJSAV2B//vnnZt++feaFF14wixcvNkuXLm14LVmypPa5vj906JB5/PhxSclwWxCAAAQgUGQCCOwi1x5lhwAEIAABCBSUgFdgT0xMmOXLlzeMWtvRa+9WruOnTp0q6J1TbAhAAAIQKDMBBHaZa5d7gwAEIAABCOSUgFdgDw4ORhLXVmxv2LDBPHnyJKd3R7EgAAEIQKCqBBDYVa157hsCEIAABCDQRQJegf3ss8/GEtirVq0y4+PjXbwDLg0BCEAAAhBoJoDAbmbCJxCAAAQgAAEIpEzAK7DffPPNWAJbI9mKLj41NZVySckeAhCAAAQgEJ1AJQT2yZMnG4z2rVu3ohPiSAhAAAIQgAAEEifgtc1//dd/bdatW9dgr607eNhWInt0dJRlvBKvITKEAAQgAIF2CCCw26HGORCAAAQgAAEIdETAK7DV+X3ixImFta/DRLXfdxLnb7zxhvnnf/5n5mZ3VDOcDAEIQAACnRBAYHdCj3MhAAEIQAACEGiLgJ/AfvToUW2pLo1I6/Xyyy8bLc+ll3fZLvveK7a1xJcCpj148KCtcnESBCAAAQhAoBMCCOxO6HEuBCAAAQhAAAJtEfAT2H4Z3b9/32zatCnQdVyC2hXZWsJL7zdv3mzu3bvnlyWfQQACEIAABFIjgMBODS0ZQwACEIAABCAQRCCqwNb5d+7cWRDRK1asMCtXrqy9t6PbrsCW4Nbotj7r7+83Fy5cCCoCn0MAAhCAAAQSJ4DAThwpGUIAAhCAAAQg0IpAHIHt5vX48WNz9uzZmniWiLZiWvt29NoV3GvWrDHDw8Nmfn7ezYZ9CEAAAhCAQCoEENipYCVTCEAAAhCAAATCCLQrsG2emmN96NChhZHqZcuWNYhtV2Rrf8uWLebmzZv2dLYQgAAEIACBVAggsFPBSqYQgAAEIAABCIQR6FRg27wVNVxzrWdmZhZGtb3i2r5XpPHDhw8bjYKTIAABCEAAAmkQQGCnQZU8IQABCEAAAhAIJZCUwHYvohHq3t7ehfnaVli7W83RXr58uXnvvffM1NQU62e7ANmHAAQgAIGOCSCwO0ZIBhCAAAQgAAEIxCWQhsBWGbSetoTzu+++W1veyxXXfvsDAwOI7LiVx/EQgAAEIBBIAIEdiIYvIAABCEAAAhBIi0BaAtst7+XLl83q1atDR7QluhUc7dy5czVhfu3aNfPkyRM3G/YhAAEIQAACkQkgsCOj4kAIQAACEIAABJIikIXAVlklmDWi/eqrr0Ya0dYyYCMjI8zTTqqiyQcCEIBAxQggsCtW4dwuBCAAAQhAIA8EshLY7r1qlFqBzvxcxb2f9fX1mc8++6wWQI2gaC5F9iEAAQhAIIwAAjuMDt9BAAIQgAAEIJAKgW4IbN3I5OSkGR0drQltBTzTOtpBL41m9/f319bRRmSn8hiQKQQgAIHSEUBgl65KuSEIQAACEIBA/gl0S2BbMppnPT4+btauXRtpRFtu48zNtvTYQgACEIBAEAEEdhAZPocABCAAAQhAIDUC3RbY9sYUCC2K2/iyZcvMT37yE/Po0SN7KlsIQAACEIBAEwEEdhMSPoAABCAAAQhAIG0CeRHYus+5uTlz6NChSEJ748aN5vbt22njIX8IQAACECgoAQR2QSuOYkMAAhCAAASKTCBPAttylNDW/GzNu/YGPXPfr1+/3oyNjRFp3IJjCwEIQAACCwQQ2Aso2IEABCAAAQhAICsCeRTY9t7v3btXG9EOm58tl3EJ8Zs3b9rT2EIAAhCAAAQMApuHAAIQgAAEIACBzAnkWWBbGPPz8+att96qBULr6enxHdXW/O29e/cyN9tCYwsBCECg4gQQ2BV/ALh9CEAAAhCAQDcIFEFgWy4KbHbq1Kma0NbItesubvc1N3t2dtaewhYCEIAABCpKAIFd0YrntiEAAQhAAALdJFAkgW05SWifOHHCrFmzxldky2X8jTfeMFNTUwuvmZkZezpbCEAAAhCoAIFKCOzz5883GMJr165VoGq5RQhAAAIQgEB+CRTZNj948KC2ZJcdvQ7bah635nSTIAABCECgGgQqIbDVk+waP70nQQACEIAABCDQPQJFt80azR4cHGxoX7htDXd/YGDAfPXVV8zT7t7jxpUhAAEIZEYAgZ0Zai4EAQhAAAIQgIAlUHSBrfuwy3q9+OKLZsmSJbXX0qVLjfelAGkayd62bRtLe9kHgC0EIACBkhJAYJe0YrktCEAAAhCAQJ4JlEFgu3zv3r1rtmzZ0nJEe/fu3ebJkyfuqexDAAIQgECJCCCwS1SZ3AoEIAABCECgKATKJrDF/c6dOy0Ftus6fuzYsaJUF+WEAAQgAIGIBBDYEUFxGAQgAAEIQAACyREoo8B26UxOThqtke0Kau/+qlWrzMTEhHsa+xCAAAQgUHACCOyCVyDFhwAEIAABCBSRQNkFtupE4jloSS8rtjU3W/sS25rTTYIABCAAgWITQGAXu/4oPQQgAAEIQKCQBKogsFUxZ86cqQU4s4I6bKto44pOToIABCAAgeISQGAXt+4oOQQgAAEIQKCwBKoisFVBly9frrmL9/f310aqvVHG7XtFIteI9+jo6MJLruYkCEAAAhAoDgEEdnHqipJCAAIQgAAESkOgSgJblSb373v37pnPPvusJrLDRrLd7zSP++rVq6Wpd24EAhCAQNkJILDLXsPcHwQgAAEIQCCHBKomsN0qkNiWO7grpMP2N23aVBPnbh7sQwACEIBAPgkgsPNZL5QKAhCAAAQgUGoCVRbYqliJbDE4fvx4y0BoEt/Mzy71z4GbgwAESkQAgV2iyuRWIAABCEAAAkUhUHWBbevpyZMnZnBwsOVotuZp/+xnP6uNZMvVnIjjliBbCEAAAvkigMDOV31QGghAAAIQgEAlCCCwn1azxPJPf/pTIxGtQGc26Jl329PTsxAsTcHQJLRJEIAABCCQLwII7HzVB6WBAAQgAAEIVIIAAru5mmdmZiIv6SW38RdeeMF89dVXZn5+vjkzPoEABCAAga4QQGB3BTsXhQAEIAABCFSbAALbv/7Pnj1rXnrpJbN48eKmkWx9plFsGxBt2bJltfeKNM5otj9PPoUABCCQNQEEdtbEuR4EIAABCEAAArUAX1YoaivBTXpKQGtnr127dkFMi5Hcx11m7mebN282jx8/fpoBexCAAAQg0BUCCOyuYOeiEIAABCAAgWoTYAS7df0fOnSoJqg1Qi0xrTnZrsD2E9xa0uvBgwetM+cICEAAAhBIhQACOxWsZAoBCEAAAhCAQBgBBHYYncbv5P69evXqmtu4FdjWPdy+d7ejo6ONGfAOAhCAAAQyI1Bdgf3kiTHj48YsWlR/HT9uDK5VmT14XAgCEIAABKpNAIEdr/6vXr1aG72W27jmYvvN0bZRx/Xdtm3bjEbAcRuPx5mjIQABCHRKoJIC++MLF4xR764V13Y7PGzM3FynTDkfAhCAAAQgAIEWBBDYLQD5fP1P//RPtWBmAwMDDa7i7ui1d3/37t1Ga22TIAABCEAgGwKVEtjnrZBetMjcW7TI9CxaVDNQ55zPF0T3+fPZ1ABXgQAEIAABCFSQAAK7/UqXy7g3AJpXWNv3q1atMhMTE+1fjDMhAAEIQCAWgUoJ7LkfhLS2Az+Iaxmg/kWLTJPIXrnSmEePYsHkYAhAAAIQgAAEohFAYEfjFHTUrVu3apHXDxw4YDQf2wpqv21/f7+RizkJAhCAAATSJ1AJgS0jJIPzgSOq/QyQPnvDHc2WGznzstN/CrkCBCAAAQhUjoC1zdYenzx5ss5AdldTtmSP7WeVoxP9huX+HcVlXBHH33nnnZooZ152dL4cCQEIQCAugUoJ7B9FENhrFy0y816RzUh23OeK4yEAAQhAAAKhBHwFtuYKHznSGCMFkR3KUV/Ozc3VhPP4+LjvWtm2E8NuR0ZGmJfdkioHQAACEGiPQKUEtjUsYdtlixaZE67A1r7cxU+fNoZ1Jdt7yjgLAhCAAAQg4CHgFdhfvfhio7D22uIbNzw58NaPwO3bt8369etDXcY1mv3LX/6yFjBN87lJEIAABCCQHAEEts+o9oaeHnNHhv7Agfprx46nRl896Z9+agwROZN7CskJAhCAAAQqR8ArsP/funVPba1XXOs9aztHfkauX79utBa25l4HLefV09NTC5SmY44dOxY5bw6EAAQgAIFwAghsH4GtEW4FPju1aJF5vHlzfQTbNfYS3pofdv9+OF2+hQAEIAABCEDAl4BXYP9f2VvX1vrtM4rtyzLsQ7mNt4o4vnr1akR2GES+gwAEIBCDAAI7QGBLZGsZr/6enrrQtoZePez79z9tBFy8yGh2jAeOQyEAAQhAAAIi4BXY//Dyy09tq7W53q2mbM3NATAmgQ8++KClyNZyXhLjJAhAAAIQ6IxAJQW23Ka0PMj7779fc50Km5Ot7xb/MKI939dnzK5dzQ2AgQFjZmY6qwnOhgAEIAABCFSIgFdgn3v77WaPMa/Atu/p3I79pAwPD4fOy1Z7Z926dWZycjJ23pwAAQhAAAJPCVRSYC8sBWKMuXPnjm+vruYmWeGt+UtLFi82W/r6zKw17n5bRT6dn39Klz0IQAACEIAABHwJeAV2zTZPTxszNVV/nTjxNBaKjYmi7chIvaNbU7VwGfdl6/ehIo23Wi/btnu03bRpk3lAcFc/lHwGAQhAIJRA5QW26MjIa0T7zJkzZsOGDTVhbQW2tkuXLl0Q2/0rVpgLfuLafib3NXrWQx86voQABCAAAQj4CmwXi5bIlIeYta92u23b088OHjRGbs0EHnXJtdyfmJgwcgl3BbXf/tDQECK7JU0OgAAEINBIAIHdyMPMz8+bl156qeY63tfX1yCurfFZs2qV2fvii+bx3/99PaqpIpt6X3v2GCPDrxfzxTyUeQsBCEAAAlUn0FJgC5BGULWM1LVrxvT3G+OKa8VEsdO25EH2+HHVkUa+/ydPnhitha0I4nILt+0bv61cyx/DNjJbDoQABCCAwA54Bv7xH//RfPXVV+bHP/5xoOHZunWrmfvrv37ak257171bNQpmZwOuxMcQgAAEIACB6hGIJLBdLBrRlpC2S2e++mqj/ZXLONO0XGKh+xLNWgNb9SB3cD9xbT/bvXu3kSgnQQACEIBAawII7BaMos5Z2r59u3n85Zf1HnavwPa+l8ubeuRJEIAABCAAgYoSiC2wLad//Vdj/tf/qi+X6bWvdGhbSrG2ikej0WwrqL1buZO//vrrtel0jGbHQsvBEIBABQkgsGNU+tjYWGCAkOXLl5s9cgtX7/nQUGOvurcBYN8zVzsGfQ6FAAQgAIEyEWhbYFsI9+8H21q5lJNiEbh9+3ZtJLvVmtlaiYUEAQhAAALBBBDYwWyavlGv7TPPPBPYw+v2+B47dsw8+eYb/x52K7Dd7cmTTdfjAwhAAAIQgEBZCXQssC0YuS5L9Lk21e7LY4xI2JZUpO309LTRvOugEe01a9aYU6dO1dzLFbeGBAEIQAACjQQQ2I08Ir+7fv36QsRxV1jbfS2FsWvXLvPVl1+aB1pqxBr7sC0iOzJ/DoQABCAAgWITSExgC4OEnoKK7tvXHHT0v/yX+rQspmbFemDu379v9u7d67uUqUS2BLhWXrl7926sfDkYAhCAQNkJILA7qOHLly+bl19+2SxZsqT20nJe3tfq1avN5s2bzdw//qMxp08bo2W8wkS2grTI7Y0EAQhAAAIQKDGBRAW25aTR7L17g+2sgqQRrMvSirRVWydoNFuDChs3bjSKV0OCAAQgAIE6AQR2Ak/CgwcPjCKK29Frv+3g4KB5pAioWupCc8NazdOWGGdZjARqhywgAAEIQCCPBFIR2LpRG23cbzRbruSnTtVHtHUcKRIBRRsfGBgIbOfou1obJ1JuHAQBCECg3AQQ2AnVr+Zna85S2HqSEuFyuVpIcleTW3jQqLaioU5NIbQXgLEDAQhAAAJlIZCawLaANFKtEesgrzF5jNGRbWm13GqUOkhka1rc4cOHW+bBARCAAASqQACBnXAt37x5s+YSvnLlSt+eXq01efXq1carqhFw61Z4kBYiojYy4x0EIAABCBSaQOoCW3RkX9WRHSSycRmP9QyFiWwbfVztHHn2kSAAAQhUlQACO4Wa12j22bNna4FBenp6moS25jLt37/f+K4lqVHt48f9GwNybXNHwFMoO1lCAAIQgAAEsiCQicC2NyLbqhFrP6GtOduMZFtSLbdazmv9+vVNbRt3etzCtLiWuXEABCAAgfIRQGCnWKeaj6SlLNSr6xXacqdS8LMGl3G3LIqIGrTsyPh43XVc7uN6TU+7Z7IPAQhAAAIQyD2BTAW2pSFvMC3d5RXaiotCoC5LqeV2bGys1rbp6+trCu6qYK8K/rpixQqjNbMViZwR7ZZIOQACECgRAQR2BpXpCm23h1f7Gs1WhE7fpB71IJHtNg40h5uRbV+EfAgBCEAAAvkk0BWBLRRyG1fntOKceG0p07EiPSxPnjyprYP91Vdfmd/85jdNgwjets7IyIjROSQIQAACVSBQCYE9MzPT4Mp0XC7YXUjz8/O13lzvchca4d6+fXvtO/X2Tk5OPi2dRLZc2/RS5FMJbr/Xnj31NUA1l5sEAQhAAAIQyDmBrttm2deLFxtFtgS32giIwVhPz+zsbG25Lq+wtu9XrVplXn/9dTM1NWXUsUKCAAQgUGYClRDYWl7C/slre/Dgwa7WqeZnr1mzpqFMbvkkwFXmpiSDL/dwt8fdbx/j1YSODyAAAQhAIF8EcmOb5QHmXTtbHdkE6or1wMhbT4MEvb29ge0btXX0vTpXSBCAAATKSgCB3aWa1ZwkV1T77WtUOzAQmgT4++/7j2arYaBOBL0Q212qYS4LAQhAAAJhBHIjsG0hZTP9Oq31mTq3SZEIaJRakcT92jX2My1bquN8BxMiXYWDIAABCOSXAAK7y3UTFo1TgdAUbTw0hS0/YhsKV66EZsGXEIAABCAAgawJ5E5gP3rkHwDN2lKCoEV+RBTAdWhoKFRkS2xv2LAhONhr5KtxIAQgAIF8EUBg56A+zp0719IIKeK43K98k4Ky2AZA2FbB0Pxcz30z5UMIQAACEIBAegRyJ7DdWw0azdZSX8zPdkkF7ityeBSRrTg0CpYWuKpK4BX4AgIQgEA+CSCwc1QvMi5hblWKwqkGia/QlnD2RkT1E9s6hl74HNU6RYEABCBQTQK5Ftjq0D5yxJh9+5qnYv3hD/XOatbObvngKrjrK6+8Ynbt2lVbukvLd2kZL+9LcWkktBuCvLbMnQMgAAEI5JMAAjtn9dLKZVwB0LZt2+Y/N9u9l9Ono41qS4RrzjYNBZce+xCAAAQgkDKBXAtse+8arfYGQLOd1/qc0WxLquV2bm7ODA4OhnrsyWX8+vXrLfPiAAhAAAJ5JoDAzmHtyLjIyNhgIN6ten5/9rOf1Uaz1UAJdKuS67jc3CSgbYMgaIvIzuGTQJEgAAEIlJdAIQS28Gs0e2jI345qSS/FOUFoR3pQ5YG3c+dOoxgz3raNfb9y5crad1raSyPgJAhAAAJFI4DAzmmNSWRruYstW7aYxYsXN7lT9fT0mHXr1hmNaMut6vLly8F3EtYD7wpuiXEaCcEc+QYCEIAABBIjUBiBrTuW0AubhjU1lRiXsmf05MkTc/jw4Vr7xYpqu12+fLmxL7V9tKwpCQIQgEDRCCCwC1Bjx44dMytWrAjs7ZVh0oh3aE+v1vOUgJZLm0arg15/8Rf1uWWa0621QUkQgAAEIACBFAgUSmDr/hW/REL63DljDhxofL3+ujGXLtW/1zFBQUlT4FjULK9evdoQd0beeRo8sGJb+3r5Llda1Jum3BCAQCUIILALUM3q7b1y5Yo5fvy4USAQa3y8W7ld6djQJKMf1gvvjmhrn6jjoTj5EgIQgAAE2iNQOIHt3ub58/4u49aGqkOb1JKAprg999xztXaNAqC57RobEG14eNg/uGvL3DkAAhCAQHcIILC7w72tq0o8h83NljF67bXXzNTUlLl161bwNSSa1cP+zjuNPfC2R/6ZZ542HAYGjPnoo/ocs+Ac+QYCEIAABCAQi0ChBbbuVLb04sWn9tKKa7u9cSMWj6oerOW8NO/aCmobYVxiW5/ppTnbL774Ym3qHEHQqvqkcN8QKA4BBHZx6qpWUkXhHBsbqxkct6fXu9/b22tmZmbC706Rw70B0Lzv1VCQ8NZWPfYkCEAAAhCAQAIECi+wxUBeY+qItqLa3cpbDFfxSE/Kv/7rv5oPP/ywJrS97RnveyKNR0LKQRCAQBcJILC7CL+TS8tlqq+vryn4mXp+rTGSyFagNInywKS52RrNtu5ur77a2FDQ+3/3756OdH/wARFTA2HyBQQgAAEIRCVQCoGtm1UAtL/9W//YJlpHW+7idFBHeizu3r3bMC/btme8W0R2JJwcBAEIdIkAArtL4Du9rIJ+fPnll2b16tULgloGSK5U1hBZsa11J1vOzVaB5FZuR6vVC69Ggdsb7+5rnW0SBCAAAQhAoE0CpRHYuv+wkWxrO8M6u9tkWMbT9Fxs3LhxoS1j2zTerY4JHUAoIxzuCQIQKAQBBHYhqim4kLOzszUjpCW7rKD2GiH7/pwin7ZK/+f/1OeV/ff/7t8b70Yf37/fmCNHjNEoOAkCEIAABCAQg0CpBLa9b4loK6i1db3CNJq9ciU207IK2Wq9bHnq2TWxbTvGu9Uxeo6INB4Ck68gAIHMCSCwM0eezgVtQ8WOYNuta4wkwiP39qo3fni4saHgNhrc/aEhGgzpVCu5QgACECgtAWu3rJ06WJbI25p2pSUxZSd37XpqR0dG6h3Xp06xDGbEp1rrYPf39weOZmuqnL6X0EZkR4TKYRCAQOoEENipI87uAu+++26Di7httHi3mzZtMora2TIpOIuipM7Otl7aS2JcQdNIEIAABCAAgQgESiuw7b0fP27Mtm11gS1xrdFrt3O6VZmdydsAACAASURBVCBSm0/Ft3pOBgYGAkW2beMgsiv+oHD7EMgRAQR2jiojqaKcOnXK9PT0hBqjkZGRaPOybaHUEHAbBn77ch9HZFtibCEAAQhAIIRA6QW27OG779Zjm/zqV83Trn7963onNpHGQ56S+ldyGVfQ1lWrVoW2bVasWFH7PvJAQssrcwAEIACB+AQQ2PGZ5f4MGaJ9+/bV1owMcq2SW9WZM2fauxe5v/kJbPezkyfby5uzIAABCECgEgRKL7BtLUpAe0evXXspd3JNyyK1JDA+Pm403c2OWodtYw8ktLw6B0AAAhCIRgCBHY1TYY+Sy1SQAVJP79TUlLl//378+1PEcc2X8+uVt4HQtKSXXMz1ovEQnzFnQAACECgxgcoIbNXh9HR9ScygNbPVcU2KRGBycjKwXePX3tHxJAhAAAJZEkBgZ0m7C9ean583r7zySq3Hd/HixU3rZitC59q1a83ly5fbL921a+G98+qpl+jGDa59xpwJAQhAoGQEKiWwbd3JXrqj13ZfI9ws42UpRdoqlszQ0FBLsa12TqSlSiNdlYMgAAEItCaAwG7NqBRHyLjs3Lkz0BAp6vj7779vrsn4t5M0Cq5o4rax4Lcl2ng7ZDkHAhCAQCkJVFJgy5tLXl0ffdQ8J3vPnrpn2Px8Kes7jZvSyigbNmyoRRKXV56WK/W+NLjw/PPPm7t376ZRBPKEAAQg0ESgEgJbvZyu25B6PKuYxEEu4bt27TIyOC4Tuy8DdezYsfbwSGSHzTOT6EZkt8eWsyAAAQiUjEDlbbOijPt1RmtVDqZVRX7a5amnzpo/+7M/MzbImW3TuNvNmzdHW0El8pU5EAIQgIA/gVwJ7K+//trY18OHD419+Rc9+qeVN+I+qCSiV69e7SuyFRjt3LlzPmdF+EjRxjWX7L336pFTDxxo3r75Zv0YHUfU8QhQOQQCEIBA+QhU3jbb0WzFK7GxS+x23776aHY7MVLK96hEviMFQZNLuCus3X0Cn0VGyYEQgEAHBHIlsN0/QXe/g/urnVp5Ix4AMCwAmlyu7ty5E3BmhI/VcDhyxL933u2xV2MiyprcES7JIRCAAAQgUBwC2GanrrTyhmsb7b6ComEjHVDhu5oOd+LEiZrLuNuOtPvLli0zu3fvNo/p3A8HybcQgEBHBHIlsL///nvzzTffmOnpaXP06NGFHsiO7tDINuEi7sdQc5cU4Ky3t7dpzpLmMMmN/KWXXjJtR+CUAdMotV5h87NxG/erHj6DAAQgUGoC2GZP9arD2Qprd8syXh5Qrd9qdRQNIqiNY8W1u9V3iOzWHDkCAhBoj0CuBLb3Fj788MPaH6P387jvMeLBxDR36Y9//GPovKX169eb27dvB2cS5Rv1wCOyo5DiGAhAAAKVIIBt9lTz7GzdLXz37maX8T/8gSUvPbiivNWAzcDAACI7CiyOgQAEEiOQa4H93XffIbATq+rwjD799NMa63Xr1vkaIrmMS4x3lCSy5QbX3+/fSy9XOK2trUYGCQIQgAAESk0AgR1QvVoz2x3BdvcVGI0Ui4C89YJEtlZXUYA0vVjKKxZWDoYABEII5Fpgq9xy6ek0YcSjE5SRUZAz15XK7g8ODiZjgDQ/+9at4DnarAcavcI4EgIQgEBBCWCbQyru/Hlj5Bruimu73+5ymiGXK/tXQSJ7+fLltTaPXMkPHz5cdgzcHwQgkBGBztVrygVFYKcM2Cf7y5cvG7+RbAUHUX20vYyXz7VqwVv8gqFplFuj2XrNzfmdyWcQgAAEIFBgAgjsCJU3Pt4sstUJTXTxCPAaD1HgVnnj2UED71Yrqzx69KjxJN5BAAIQaIMAArsNaFU4Rb29hw4d8g0Q0tfXZy5dulRzqUqMhUa0g1zH9TkiOzHUZAQBCEAgDwQQ2BFqQR5f6mi2o9d2q7WyFUBU35MiE5iYmDCrVq3yFdkK+GpFt47peFpc5FJxIAQgUDYCiQtsRW5MMunPrtOEEW+foAzMW2+91dTrK5EtV/JER7M1x1uNBtuAcLcS2Z3OAW8fA2dCAAIQgEDCBLDNMYDeu+cvtC9ejJEJh2qetdbCtkI6bJvYtDiwQwAClSPQuXr1INOflYKTJZUQ2EmR7Cyf69evN4ls1Y1cydtexsuvSFraS0FcXHFt9yW+6a33o8ZnEIAABApHAIHdRpVJaLveXnIXl8i+caONzKp5itzAg4KeuYJb0+L2799fTUjcNQQg0BGBVAS2/qA++eSTRF4I7I7qN9GT7969a7Zs2dLU86uR7KQ9F4zfvGwrtLWVaxwJAhCAAAQKSwCB3WbVyZvLb9lLRHZkoEFBz1yBrX25isutnAQBCEAgDoHUBLb3T6qT93FuyO9YjLgflfY+CxLZW7duNVNTU+axRqCTSHYkW3PP9uxpXhN0dNSYDz6orwuqHn1GtpOgTh4QgAAEMiOAbe4AtZa91NKWbsczK3DEAhpVZMtTb3h4uBaXJrE2TqyScjAEIFA0AgjsotVYDsorIe0GA3E7TzS3KfG1JCWe5QLnNiS8+xrxRmTn4OmgCBCAAASiEUBgR+MUeJSCf7ru4rKLrJMdiMvvC4nszZs3N3nmue0ad1/BX0kQgAAEWhFIRWAn5S6sfPTH1mnCiHdKsPF8CeidO3f6GqTFixeb559/vjaarTW1E01qTAStC6rn5OTJpyPaiV6YzCAAAQhAIGkC2OYEiE5P+3c+ax1tUiQCeg7lhecK6aB9jWZfvHgxOW+9SCXkIAhAoGgEOlevnju+efOm55PO3iaRH0a8szrwO1tMNZL9J3/yJ4FGSXOzdVziSfPMvL323hFt5qIljp0MIQABCCRJANucEM2gmCXXriV0gfJnI9dvDRwsX748sE3jim5Gssv/THCHEOiEQOICu5PCpHUuRjwtsvV8NVIdFJFTn4+Ojprbt28nWwjN0daItVdY2/cS4AqEpldS88KTvQNygwAEIFBpAtjmhKv/1i1jNA/b2kG7lQAntSQg77zXXnstcJ1sV2BLiF+7do2R7JZUOQAC1SSAwK5mvSd+11r2QvOvFXHTNUJ2f8OGDcnPzdZdqIfeNiKCtsxJS7y+yRACEIBApwQQ2J0S9Dnfu4yXtYtXrtSnUBGrxAfa048kshU1XAMDmzZtMpr2tnTpUt/X6tWra8HPnp7NHgQgAIE6AQQ2T0JiBGSYxsfHjVzDrbC2WxsUbc+ePckL7dnZ+ki1ooq//roxBw40v95/v37MzExi90tGEIAABCDQPgEEdvvsQs/U1CyttGHFtbvFbTwUnfulHdEOcxtXe2dWbRASBCAAAYcAAtuBwW4yBM6cOWP6+vqaRLbE9po1a8yFCxeSuZBfLlofNKhhYRsZcqMjQQACEIBAVwkgsFPEr5Fqv7nZWtpLU6dkK0ktCWhu9vbt233bM3YAoaenx+zYsSP5wYOWpeMACEAgrwQyE9jffvut+frrr8309LT55JNPFl76TNHCv/vuu9QYYcRTQxuY8bFjx0INkgzT5ORk4PkdfRFlWa/f/76+nAk9zx2h5mQIQAAC7RLANrdLLuJ5soVBHc5akYMUicD8/LzZsmVLaJtGXnoK/EqCAAQgIAKpCmyJZkUBt718rbanT5+uifCkqwYjnjTR6PmFBUDTvGx1tiS+nJctnt+yXuvWGbN7d9117plnjHn3XXs0WwhAAAIQyJAAtjkD2HIXl/B7773mqVPyJsNlPFIl3LlzJ3JbVrFoJMpJEIBAdQmkJrA1Mt1KUAd9L6Gd5Ii2XHzca61UlE1SZgTm5ubMc88911AHtj4UQET7H2j+dFpJjQvrHu7tzR8ZoYGRFnfyhQAEIBBCANscAieNr4JW3kBkR6atgK5Bq6bYdo22LOMVGSkHQqCUBFIR2HL5tn80R48erbmFf/PNN+bhw4e+ECWm5UL+xRdfGIlrnavzkhTZtjx261sQPkyNgEYqtMbksmXLFp4NzVtSfaxYsaIWfTy1iytjRVY9fPip0LaC+9VX65+Nj7OcV6oVQOYQgAAEmglYm2y3zUfwSaIELl5stoPy7Dpzhs7miKC17OjatWtr7ZmgCON6nnfv3m3U9iFBAALVI5C4wP7+++8XBJRGsdtJEuMS2BLbSSVrvO02qXzJJzoBReTcv3+/0dIWEtdLlixZeFZUL3IXTz0FrRNqBbfdEggt9argAhCAAASsTbZbiGRAwLu85b59ddH95psZXLwcl9BA0s9//vOGNox9ht0tI9nlqG/uAgJxCSQusDUKrT+XTkefdb5EtsR2Esn9w9M+qXsEfv3rXzcZJbmKS3C/8cYbtUAhqc3L1m3fv29Mf39zL74V13ZLwJLuPSRcGQIQqAQBbHOXqlmdyLJ1+/c/tYWKS0LncuQK0fS3oBVT7HOtts1vf/tbc+nSJTPDMqGR2XIgBIpOIHGlqVHIdkeuvTDVQ6ggaUkk+2dnt0nkSR7tEdC8O62H7R3BtnWj7aZNm8zdu3fbu0CUsx49MiZoPpoV2NoyNy0KTY6BAAQg0BYB939f+6QMCUhM79r1VGAfOFDfR2RHrgSJZkUPf+WVV4yNKeN9pjdu3FibCofAjoyVAyFQeAKJWzP9schNPImkfDSKnUTy/uElkSd5dEZAAlqRxL11Y9/LKKmHONWkZbqGh582MFxxrX0FxJuers/hTrUgZA4BCECgegTs/73dVo9Al+9Yc4SHhvxtoNbMZg5xpApS8DNNf7PPsd0ODg6aL7/80pw8edK8/fbbtVVTNMhAggAEyk0gFYGdJDL9SSWR7J+d3SaRJ3l0TkDBQiSkbb14twqMprnbqSa7brbEtFdgu+814p12WVK9UTKHAAQgkC8C3v/8fJWuIqVRR3aQ/dN62di9SA/CxMRELWCrfablpbdu3TrT399fe+lzBUcb1WomJAhAoNQEklGvDiL9gSSZksrP/uHZbZJlJK/OCGiUeuvWrb4iu7e317zwwgvm+vXrnV0kytlat1KNCVdUe/ePHKmPZisqudzMSRCAAAQg0DYBa5Pttu2MOLEzAhLZQSPZTJWKxFaDASMjI7W2jDeQq8S2nRanlVMuXLiQvodepFJzEAQgkAaBZNWwMbVI0FpyK4mkAGdJRRK3xttukygfeSRHQC5T6tVdtWqVr9Bev3690Wh3JslvGROv0NZ7uZbj6pVJlXARCECgnASsTbbbct5lQe5KncYaXfXaO41uazoVncotK3J+fr7Wllm5cmVtTrZdxkvzs+2+thLZGkCYFVcSBCBQOgKJC2wFOPvwww8TASVxPa35rwkka7ztNoEsySIFAnKxkjuVrSd3K9cqvd+xY0f6buMyeooi/s47xijwS9Dr7beNuXIlBRJkCQEIQKD8BNz/eO2TukxA7uDHjzeLbNWNxDfu4pEqSHOyBwYGfNsy7jOvODSpT4OLVGIOggAEkiSQijVTYLJORLaW6NL5+hN6+PBhIvfr/qFhxBNBmlomV69eDQ1+tmzZMjM2Npba9RsyVmNCbuHeHn3ve5bfaMDGGwhAAAJRCGCbo1DqwjFBq2wcPFjvfNY0KVIogTt37rQU2Pb53759uyH4WShOvoRAoQikIrDl2q0/DQltrYsddU1suZZrxNr+4SS1RJdqxOZpt4WqpQoWVnOubV0FbRUcTb3EqSeJbI1Sh41onzhRP4be/dSrgwtAAALlIeD9fy/PnZXgToJEtjqYFWE8C/tbAoyHDh1q2Z7RwMHhw4dLcLfcAgQgIAKpCGxlbEW2azw1Kq11sr0vCXH3OO13MgLuV7Xe/P2O4bP8Ebh8+bLp6+trej5UnzJIf/EXf5FtoVuNaI+PZ1sergYBCECgwASwzTmvPI1U/+EPdfdwuYi7r337WMIyQvUpkKvmW/st4+U+/4o4nuTAUoSicQgEIJASgdQEtsor926JafcPpNW+xLbmcSedvNdNOn/yS4/A2bNnzUsvvdQQMMQGC1EgkfGsRa1E9vnzwcuasJxXeg8DOUMAAqUigG0uQHXK5gWtsCF7R2pJQCI76pxsBUojQQACxSaQqsC2aOQiLtEssa3AZV6Dqs/lGq5R77SS95ppXYd80yPw6aef+o5mZxph3L09uccFCW318mMkXVrsQwACEGgigG1uQpLPD2TvNJotrzF3FPuVV4zJupM7n4RalmpmZqY2ku195r3v16xZYy5dumTuMc+9JVMOgEBeCWQisPNw894/sDyUiTLEJ6DRar8o4+oZVg9xV5IaHn69+/399aVNulIoLgoBCEAg/wSwzfmvo4YSamlKzb/2BvpkNY0GTEFvbt26VRPPcgf3Pvve94owfv/+/aCs+BwCEMgxAQR2jiuHovkT0LqRMjze+UxdFdlyoTt9urnRYdcP9b8VPoUABCBQaQJeUVFpGEW5eXlneTuVsXWxak8BWgcHB1uK7K1btxJdPBZZDoZAPgggsPNRD5QiJgGtG3ns2LEmkb1582bz4MGDmLkleLhcxr09++77bpYtwdskKwhAAAJJEEBgJ0GxS3lo1FrC2to4RHasipDX3dTUlHnrrbd8PfP021i+fLl57bXXWCs7FlkOhkD3CSCwu18HlKADAn4ie9OmTWZ0dNRoqa+upOPHnzY4bMPDbiXASRCAAAQgUCOAwC74gzA722jvNDWKjuTYlXru3LlAka0VU/bv31+bk43LeGy0nACBrhDITGBrjWsFOlMwM3eZLn2mP4yoa2W3Swkj3i65fJ+nkeydO3f6ulkpwri+zzzpmgcPNjY6rMB2t0NDrCOaeeVwQQhAIE8EsM15qo02y3LrVqO9Gx6uB0Qj0GcsoBMTE2bVqlW+7RlNiVP8mbVr15rJyclY+XIwBCCQPYFUBbZEs9b08xrQoPeKMJ7GEl3C6r1m9qi5YloE5Ga1cePGpjqWIXrhhRdqo9l3795N6/L++SoQjCKtuoLab1/H6FgSBCAAgQoSwDaXpNIVSdxr4zRPmxSZgAYEFF/G+5vwvtcxd+7ciZwvB0IAAtkTSE1gSyh7/xSivpfQTnpE23vt7FFzxTQJXLhwwWhpC2892/cS4AoqkmmScD5ypLnR4W2ESGRnXbZMQXAxCEAAAv4E7H+03fofxae5JyAbJvdwr327eNGYqSncxiNW4O3bt2vtmJ6entr8a/u78G67Hm8m4v1wGASqSiAVgS2Xb/tncPTo0YU1rh8+fOjLWWJaLuRffPHFwjrZOi9JkS13YVsmbbviOux793yYFIHh4eGGOnbrW/t7u9GbHhRd3NsIkbu4GiHT00nhIB8IQAACuSeAbc59FUUvoNdV3LVz6mwmRSagAQGtjOJtx7jvFWuGBAEI5JNA4gL7+++/X/hDaNfd+5tvvjES2BrJTioNDQ0tlEt/UF2NNJ3UTZFPA4HHjx+b7du3N9Sza4z6+vrMmTNnGs7J7I0aHm60Vbfh4d3v1nremcHgQhCAAATqBLDNJXsSwoJ8yg6SIhOQG3iYy7i89uS9R4IABPJHIHGBrVFoiZpOR591vkS2xHYSCSOeBMX856GOE29duyLbGquuBAlRwBcFf/EKau97HaPlT0gQgAAESk7A+39N53fBK1xeW0HxR9TJTAdyrAoeGxsziiLutmPcfeZjx8LJwRDIjEDiAlsRwtsdufbetVzNFSQtiYQRT4JiMfJoJbJlnBQArSvLXWhetl8wGK/I1ntEdjEeOEoJAQi0TQDb3Da6/J6o+dia9uRn1wYG6rFJurHCR36JBZZM0xmff/75WgRxTadYunRp02vx4sVGU+QUhZwEAQjkg0DiAlviRW7iSSTlo1HsJBJGPAmKxcmjlchWj3Bvb6+Z1Rqe3Uj379eXMfnss3pvv3r8va9XXqkv98VSJ92oIa4JAQhkQADbnAHkblxCa2EHiWwJ72vXulGqQl5T87Hv3btn/uZv/sZ4Yxa4o9la4uvjjz8u5D1SaAiUjUAqAjtJSPrzSCJhxJOgWKw8WolsPVvPPvusme+2gA0LDKPnX3PaSBCAAARKSADbXMJKtbfUSmSfP2+PZBuRgJYcDQt+Jpfxqakpo+VLSRCAQPcIJKNenfInJYhtlknlhxG3RKu1lchW9PDBwUEjNyqve5VGshX8LPMlvLzV0EpkHzxoDAFivNR4DwEIFJwAtrngFdiq+GEiW3OyWaKyFcGm7yWew0S22s1btmzp/uBBU8n5AALVIZC4wNYcbC25lURSgLOkIoljxJOokWLnERQsRC5XmorQ9R7fViJbjRE1VkgQgAAESkIA21ySioxyG1qqy29edremakUpc06PiSKyt27darS6CgkCEMieQOICWwHOPvzww0TuROJ6OqF1gTHiiVRJoTNRsBCNZKt31++lJb5ykWQQW0Ub19w2gsTkorooBAQg0D4BbHP77Ap3pkarFeTMK7IlvHFpjl2dEtnPPfecb3vGtnFYKzs2Vk6AQCIEEhfYKpVGAzsR2VqiS+frD+Lhw4eJ3ChGPBGMhc9E863XrVtXC3DmdReXC7lE9qFDh7rf66t54a3WzSZITOGfR24AAlUngG2u2BOg0WqvwNZ73MXbehA0DS5s4ECBz4gu3hZaToJARwRSEdhy7ZY4ltDWuthR18SWa7lGrG3PW1JLdIkQRryj56RUJ0tkf/bZZ2b58uULz5p95rSV8L506VI+7nlmxr8xYhsoNEryUU+UAgIQaIsAtrktbMU+SdOhLlww5sCBxte77xozNcW87Ji1qxgyWqbLbce4+wp8pvfjWiKUBAEIZEIgFYGtkluR7f7INSqtOdrel4S4e5z2OxkB9yOHEfejUu3PDh8+bFavXt0U+GzJkiWmp6fHTE5O5gOQIq0qyNm+fc1LeWlpr1OncK/LR01RCghAICYBbHNMYGU6XPbLdha7W4lsUiwCmmutOdfetrT7Xt57SQ5cxSogB0OgYgRSE9jiKPduiWn3B95qX2Jb87iTThjxpIkWPz/Nyb5+/bpZsWKF7zMqY9T1wGcuZs1f83Mb13zsbi815paTfQhAAAIRCWCbI4Iq42H37xvz/vuNo9ga1f6P/9GYhOLvlBFb0D3JXbzVnOzNmzcbHUeCAATSJZCqwLZFl4u4RLPEtgKXeUW2PpdruEa900oY8bTIFj/fkZGRpmfSPqOal639e/fu5eNGL15s7PF/8UVjPv/cGJVPr//9v+tbAqDlo74oBQQgEEoA2xyKp/xfylb5BT5j+lNbdT8zM1OLM2PbMH5bxZohunhbeDkJApEJZCKwI5cmxQMx4inCLUnWWi/bNUYKDvLb3/7WKApnbnp81RiRu7gNCrNtW6PgfvXV+vuTJ0tSK9wGBCBQZgLY5jLXbsR7UwRxdRDv2dM4Deq//beIGXCYS0CBWteuXes7BU4xZjQNrre3t9a2IQCaS459CCRHIHGBLRfvPCaMeB5rJV9lCuv5lUHasmWLkVt515OW8dIctT/8odG17t//+8b3CiJz40bXi0sBIAABCAQRwDYHkang5+oYtnOx+/uZ+tTmI6DRaXndyTNU7Ra1X9zBA3dfQvuC2gokCEAgUQKJC2z9cBWgLKnltZK6W4x4UiTLnY8CnynAmWuQbI+voo7/6Z/+aX5Gs1UVboPENky8W0VsJUEAAhDIIQFscw4rpVtF0ki2jTOiedjy1tLr9783RsE+SbEJaFBA7RqNaLvC2t3ftGmTuXjxopmamsJ1PDZhToCAP4FUBLb94Wq+9f37983333/vf/UMP8WIZwi7wJfSche/+MUvapHFJbKtuNZWL4ns9evXGx2Xi6QRdY1mnzjROHrtLn9y+HD9GIR2LqqMQkAAAk8JYJufsmDP1G3Vrl1PR7Kfeeap6JYAJ7VF4PLly0ZC2rbPg7ZyLydBAAKdE0hVYLs/YI1qd1NsY8Q7f1iqlIPcxYN6fCW0f/nLX+YrwrgaHt6Ra7/3uIxX6THmXiGQewLY5txXUXcKGLSE1/Hj3SlPCa6qNriW8tJAgds+d/dzt3pKCbhzC9UkkIrA1jp7ihqul/bdH6/2FTU8zYjhflWJEfejwmdhBM6ePWsU6MyOZNtRbDuSLQF+586dsCyy/U5LntgAaH7iWp/J/W52NttycTUIQAACAQSwzQFgqv6x7NSvftUY9EyiWy+tnJEXL7KC1ZPmZ7/22muhIlsrq+Qi3kzB2FJcCLgEEhfYQUHOvv3221rABX3vCm4J8CzENkbcrXb2oxK4ceNGqCEaGBjIj7u4bkrrW9o5bEEiW8FjcLWL+ghwHAQgkCIBbHOKcIuetaZABdkzCW1SWwQknnfu3NnQFnfb5RpYILp4W2g5CQILBBIX2FrzulWyYtu7JnaaYhsj3qpW+N6PgAzR+fPnA9eVXLZsmRkbG/M7tXufzc/Xlzz527/17/1Xw2T37vpoN4FjuldPXBkCEDDYZh6CUAJXrhijTmG/DuNr10JP5ctgAoojowECV1i7+xs2bKi1bRjJDmbINxAII5C4wA67mN93EuRffPGFccW2Rrm1vICEeFIJI54UyWrms2PHjprIVoRx11Vc+zJK+v769ev5g6MAaH4NE/czRHb+6o0SQaAiBLDNFanoTm4zyI5pdFteW6S2CGgpr/7+/kCRrQGEwcHBWvykti7ASRCoMIGuC2yXvRXbbi9akMu5e16U/b179zb8iSjYAwkCUQmot1fG6Kc//WlNYLvPqN2XodIxuUxaO3vv3mCxrQYMCQIQgEDGBLDNGQMv4uU03zpotQytoKHv5E5Oik1gcnIy0EPPbdtoX1HIH9ChEZsxJ1STQNcFtpbw0hxsjWIr0rj9QbvbJKrm4MGDDXnnVgglcbPkkRoBBQjZtm1bYK+vInTqmFwmNUDC1s1GZOey2igUBMpMANtc5tpN+N4ktAcG/DuKL15M+GLVye7cuXNGLuFuuztoX3O3cRuvzrPBnbZPIHOBrVFqjR5rvrXrFu73Y5bglvBOImHEk6BIHiJgR7OHh4ebDJKW2OXSGQAAIABJREFUv9izZ0++QbWKNC73ccR2vuuQ0kGgJASwzSWpyKxuQyOoMzP+87Lz6kGWFZsOrqMpbkEi250Wt3jxYtPb22vu3r3bwdU4FQLlJ5C6wH748GFtuS4tzeWNIO4V1VZQJzn32lYhRtySYJsUAY1Ub9++vUlkKwKnnm1t5xVwLG9JowAS2WEu4xLZrJmdt5qjPBAoHQFsc+mqNJsbkpj2RhjX6DbLd7XNXyJ7y5YtDW0axZ3RUqXe9rrcxZlq2TZqTqwAgcQFtsRxmLu3+yNNU1B76w4j7iXC+yQIzMzMhM5f0ih3rpMCnLkBz7z7rJmd6+qjcBAoOgFsc9FrsIvlVxRxr80aGqp3ILMUZVsVo5FpG11cI9cS2G67XftWcEuM53IQoa075yQIJEsgcYHt/SG677MU1F5MGHEvEd4nRcAG6bEj1+4zL1eqqTy7W2tedpjLuEYIaKgk9aiQDwQg4CGAbfYA4W10ArJfQXOy1blN4LPoLJ0j5+bmGkS226bRvl09RftaBYDAZw48diHwA4HUBbbmWqfh8h23BjHicYlxfBwCCvqh5Sy8hkjvNa8p1728CsqmXn/vSIB9rzVIiRwa53HgWAhAICIBbHNEUBwWTECdwNZeuVsCnwUza/GNRPaKFSsaxLTaM3b02m3rrFmzxvzbv/1bixz5GgLVIpC4wPauaa0foYKZ6XPNx+5Wwoh3i3x1rhu2puTIyEi+I29qrrhG2i9dMub11405cKDx9eab9e+Zl12dB5o7hUAGBLDNGUCuwiX8pjvhgdVRzf/Lv/yL2bVrl1HwVldQ++2//PLL+W7jdESCkyEQn0DiAtsWQctv2Wjh7o9Rgc40qq2lubJMGPEsaVf3WmNjY75zljSP6Te/+U1+18l2q0xrxAe53Wl0gHnZLi32IQCBDghgmzuAx6lPCcgTy89ujY7iKv6UUuw9eedpaS63He+3rylyExMTsfPnBAiUlUBqAtsLTG7i09PTTUtzaV72119/bbR8V5oJI54mXfK2BBRZ/NChQ+bZZ581Ws7CXd5i2bJlZu3atfmek21vRJFYg6KMqxGj0e5bt+zRbCEAAQi0RQDb3BY2TvIjoOW7FFNk925jJKzt66OPjFHHMaktAlqa9Mc//nFLkd3f329m6YBvizEnlY9AZgLbRWfXwtbSXW5PmEa3JcLTmLONEXdrgP0sCKg31y/wmRXZEuO5TgoQMz7uP7fNznPLcwC3XMOlcBCAgAhgm3kOEifgt4SXbBYBO9tGrfbK7t27zerVqxva7W4bXvtaupQEAQgY0xWB7QUfNLotAZ7UOnsYcS913mdB4NixY4EGKffzsi0gv6VQrMDWlnnZlhRbCEAgJgFsc0xgHB6NgEazXTulfXllXbkS7XyOaiIgd3G1afr6+gJFtgYQJLQnJyebzucDCFSJQC4EtgWuedsKhubtEbPfd7LFiHdCj3M7IXD48GEj93Dvc12oOUsaEVA0cW+Dxb7HXbyTR4RzIVBZAtjmylZ9+jeuzl9ro9wtnlcdsT9z5kxtdRRvm8Z9r9VTtKY2CQJVJdB1ga3Ra7/I4+4PNYnKwYgnQZE82iGgXt/XXnvNNxKnjNCdO3fayTb7c7RUl9YWdRsq7r7mvtFwyb5euCIECkwA21zgyitC0WWTXDtl99VpTGqbwPXr182WLVuaBg7ctvvmzZtZI7ttwpxYdAKJC2zNoQ5LVlAruJn7Q/Tua2kv5ZVUtHGMeFit8F3aBFqJbAVGy/2cbEHSvHEJadtI8dviMp7240T+ECgNAWxzaaoyvzdy+nSzzRoaqtuz/JY69yXTCHUrka052YVo2+SeNgUsGoHEBbaEshsRXGtfK0q4N6CZV1DrvZbv0pxr9/ykgGLEkyJJPu0SCBPZWsZLruSFSAp+FjaSLdGNy3ghqpJCQqDbBLDN3a6BilzfL2Cn7Bhzsjt6ACSy161bV4s1466aYve1mormbI+Ojpo5gsx1xJqTi0UgFYHtJ579PtMottzDJcLTThjxtAmTfxQC6slVj67f72H9+vXm9u3bUbLp/jHz88asXNk8KuCOaCOyu19PlAACOSeAbc55BZWleOoY9lt6UnZM9ozUNgEJZ7mMr1ixwrdtY9s7w+rQIEGgIgQyFdhJu33HqSOMeBxaHJsmgZmZmVqPrzU67lZzsueLZuy17qXWxnbFtXeftTHTfKTIGwKFJYBtLmzVFa/giiPi1zEs4S0BTuqIwOXLl42NIu62a+y+Rrqv4DHQEWNOLg6B1AV2mm7fcTBjxOPQ4ti0CbzxxhuhPb0ySIUZzRYszc0+eTJYZCsCuZZNUWCZvK//nXblkz8EILBAANu8gIKdLAicP+9vp/Q5qWMC+/fv9101xYrs3t5eo0EGEgTKTiAVgS3X76SCkyVVARjxpEiST5IENH9pYGDAV2z39/eb2dnZYo1oa6S61fxszYUjQQACEDCKmXiw4f/vHtGdeS6yIHDtmr/QPn48i6uX9hqKNTM4ONjwm7bi2m5xFS9t9XNjDoHEBfbRo0ed7POzixHPT11QkkYCmr+0detWX4MkkS2Xq0IFB5GrXdAogXUdv3+/EQLvIACBShLANley2vNx04oT4ucyLvGNjWq7jh48eGD27t1rduzYUQtwZoW13drBg7YvwIkQKACBxAV2Xu8ZI57XmqFcIqDgZyMjI7VInNYI2a0ijJ86dap4oIJGCCSy5TJetLnmxasBSgyB3BPANue+ispdQHldyR7Zzl93S9Trjus+yGVca2SzfFfHeMkgxwQqI7CPHDnSMEIo11sSBPJEQK5VQcaokMHPBFcjBG6Dxd3XOqSMEuTpEaQsEMicALY5c+Rc0EtAQtpPZDMv20sq9vuglVOWLVtm9uzZY9TuIUGgjAQqI7BPnjzZILBvsYRQGZ/nwt9TkDHSaPbOnTuLaYympoJFtgT36dMEPiv8k8sNQKA9Atjm9rhxVsIENPff7QC2+3QCdwxaK6Ns2bKloQ2uNs3y5cvNa6+9Vsx2TcdUyKDsBBDYZa9h7q9wBDTfeuPGjU3GSD2+Etma31S4dPGif+PFNmI0enDwoDFHjhhTxPsrXIVQYAjkgwACOx/1QCmMMX6dwQra+egReDokcOfOHSNPPDv1zW4lsjUNTu/HCYDaIWVOzxMBBHaeaoOyQOAHAhcuXDBr1qxpMkYyQpq7NDo6aiYmJorFKyigjBXZdivXcUR2seqW0kKgTQII7DbBcVryBOSuPDra3Bk8MMB0pgRoX79+3VdkW7GtdbJZwisB0GSRCwII7FxUA4WAQDOBY8eO+QY9s8aor6/PXL58ufnEPH8idzs1VqyYttsDB+oNGzVu9HrjjXok8jzfC2WDAAQ6JoDA7hghGSRJQME3/eZjK9q4vKyuXEnyapXLq5XIVoRxDSAUauWUytUiNxyFAAI7CiWOgUCXCBw+fLhJZMulaunSpbXX4sWLze9///sula7Nyz5+XHcFt+Lab8RAjRm9Tp5s8yKcBgEIFIEAArsItVSxMioIrt/yXdZmMS+7owdibGzMaMqbHSzw227fvr2ja3AyBLpNAIHd7Rrg+hAIIaAIm96R7CVLliwYJu3rNTk5GZJLTr+y87JffbV5RHvHjqcNnOPHjSHSaE4rkWJBoDMCCOzO+HF2SgSmpxvt0r59T72s/tN/MubGjZQuXP5sFcxVU938hLX9TO2at99+2xCQuPzPQ1nvEIFd1prlvkpFwIpsV1xbQ6TRbAUPURCRwiXNy3799caGjEYOJLDtaIG2cs3TyDcJAhAoFQEEdqmqs1w3Y5eZlE165pmnNkn7+kyRx0ltEZAL+NTUlNm1a5eRJ55tz3i3vb295ubNm21dg5Mg0E0CCOxu0ufaEIhBQGtkew2R+76wa2VrdFrRw11B7be/dy8j2TGeFw6FQBEIILCLUEsVLqNGqr0dvtbrSvFEiDDe8cOhtk2Yy7jmZRdy9ZSOyZBBkQkgsItce5S9UgTkLj40NGRWrVoV2tsr96vCpagiW0KcBAEIlIYAArs0VVneG9HyXevWPe0EdoNyvvNOee87oztT20brYSu+jHcE274fGRlhveyM6oPLJEMAgZ0MR3KBQGYEFPgsqLdXnyuASGGTnZftN4JtP7t2rbC3R8EhAIFGAgjsRh68yykB6y5u7ZC7lQAndURAInvPnj1NQV2twFbbRiPd9+7dM4UcROiIDicXkQACu4i1RpkrTUCG6Kc//Wlgb2/h15LUvDa/pbxsg0ZLqCjKK2tlV/p3wM2XgwACuxz1WIm70KoW1g65W83HnpurBIK0b9LGm7HC2t3Ke0/u4sPDw2kXg/wh0DEBBHbHCMkAAtkTsC5VQSPZW7duNTMzM9kXLKkrepfychszdl9Cm0ZNUsTJBwJdIYDA7gp2LtoOgbCpTFrtgpQIgTCRLcFd+EGERCiRSd4JILDzXkOUDwIBBCSy5TK1evVq33lLa9eurblTBZxejI/lDm4Ftd9WIpuR7GLUJaXMJYGvv/7aeF9xCmrPvX//vnn48GHtFed8BHYcWhzbdQJBIluj2HIVL2IMlK5DbS5AK5G9YsUKs1eBT0kQyCkBBHZOK4ZiQSAqgTBDNDAwYB4VPcqp3MElpP0Etj4bGkJkR31YOA4CHgKuC6bd9xwS+tae425DT/B8icD2AOFt/gkEiWzZI7mRkxIh0Cq6OCPZiWAmk5QIILBTAku2EMiSQJjIHh0dzbIo6VxLruAaHXj7bWMUwdX7evPN+vcS4yQIQCAyASuMT58+bTQK/f3330c+VwfqeJ2n821ecTJAYMehxbG5IRAmsqenc1PMIhdEXnq7d+9e+F+x/y/utq+vz5w9e7bIt0nZS0oAgV3SiuW2qkXAGiIZm6VLlza8tFb2li1bzOTkZPGhyP1OAU6CRrMVHE0NHxIEIBCJgBqr0yGCwLqAu9ugjJWP8ouTENhxaHFsrggE2SOmLiVWTfLAkyeeK6q9+xrJniMeS2LMySgZAvEsYTLX7EouGPGuYOeiGRLQ0hWff/65WbNmja8xKo0R0pxruYUHiWyN2GNsM3zyuFSRCbQSxN7GbJTj4/DANsehxbG5I6ApWJ9/bsyePcbI9tiX5gfjLp5IdWlpLrVr1Ibp6elpGEDQgIIGETZt2lSOQYREiJFJHgggsPNQC5QBAgkSkDHSUhbehrEM086dO4s/J1us5ufD52UT0TXBJ4qsykyglWCWC/jNmzdr/yfatnIhb5WflyUC20uE94UkoClMfp2+BOFMpDo1Qv3VV1/VvPG8bRv7vjSDCIkQI5NuE0Bgd7sGuD4EUiAwMTFhtGakNTx2q97eS5cupXDFLmSphovWzL540b9hw3zsLlQKlywaAf03RElJH2evicC2JNgWmoCmJmnU2iuyFV2cyOKJVe38/LzZsGFDU9vGtnFefvllMzU1ZW7dupXYNckIAu0QiGZZ28k5Z+dgxHNWIRQnVQKak71jx46aEfKulS3jpO9Llc6fb27YaB6cRrpJEIBAIIGkhXPU/GyBsM2WBNvCE5C9kaD2iuwbNwp/a3m6gQsXLgROhbNCu7e3txZ8MU/lpizVIoDArlZ9c7cVIyAhPTg42NDbq7lMMlClS5rv5m3YKOjZ/fulu1VuCAJJEYgqiJM+zpYfgW1JsC0NAXlPubZIMUPK1qndxcpSu6ZV4DP9Xx04cMA8wEW/izVV7UsjsKtd/9x9BQhoCR0FALE9u9pu3LixnFE3/US2RhRCoiRX4BHgFiEQSCBp4Rw1P1sgBLYlwbZUBLy2SFOZSIkRUKwZLUE6PDxca9t4V0/R+xUrVpj169eXI+5MYuTIKCsClRHYFy9ebBAYV65cyYox14FA1wloTpJcplyR/dxzz5nZ2dnyuVF5GzbuSILENhHGu/48UoD8ENB/wieffNLyFee4OHeHbY5Di2MLQ0Aj1t7VLujoTaX69u7d29C2cds5Cu566tSpVK5LphAII1AZgS2B4f7o9J4EgSoR2LNnj1m+fHnD70DRxiW8P/3003KhCIroKrGtdbQVHA3XsXLVOXfTFgHXLia1H6cg2OY4tDi2UAQ0Pcmdk619jWQTgCvRatRotoR02P+XYtGwVnai2MmsBQEEdgtAfA2BshDQvKXXXnutSWTLKGk+k7w6ShX8zC/wmTuazby4sjza3EcHBMIape1+F6c4COw4tDi2cAQkpl27Y/fxpEq8Kr1T4bz/X4cOHUr8mmQIgSACCOwgMnwOgRISePz4sdm8ebNvT6/mLJXKlUouenIXP3jQmFdeMWZ0tPn10Uf10WyWUSnh084tRSGgRqjiNCSRlI/yi5MQ2HFocWwhCZw+3SyytaQX0cUTrc6PP/64YSqc2jReka33ciknQSBtAvEsYdqlSTF/jHiKcMm6UARu3rzZYIRcA7RkyZJahHEJ8VIlRXV1XfXsKILdHjlSqtvlZiAQlYD+D5JMcfPDNidJn7xySUCdvVrRwtobd/voUS6LXMRCyQNv586dC6Ja7Rlv+0bvNS1OYpwEgTQJILDTpEveEMgpgWvXrpndu3cbrwGyxqiUrlRyyQtq5KjBI5dyEgQgkCkBBHamuLlYtwhojWwFOduzp9GTat+++rzsbpWrZNfVPOu1a9fW2jaLFy82Nrq49u17tXv0uUayWcarZA9Ajm4HgZ2jyqAoEMiawP79+42Cf1hhbbfr1q0zMzMzWRcn/espsJlcxd0RBHef4Ifp1wFXgIBDAIHtwGC3/ASuXfO3Pwq8SUqEwPz8vLl69apv28a2cewWd/FEkJOJDwEEtg8UPoJAVQiEBT7TXO1S9u7KXW983L+RI7GtedsS2jqOBAEIpEoAgZ0qXjLPIwG/pSS1ugU2J9HaOnHiRG2k2oppv21pBxMSJUlm7RBAYLdDjXMgUCICEtlyF/czPs8884yRu3jp5mSr/sKW8pLQZjS7RE85txJE4LvvvjNff/11wyvoWL/Pved+//33focFfobADkTDF2UmoLgfrveU7dwt8z1nfG9q22h1lA0bNvi2b2ybR6uo6FgSBJIkgMBOkiZ5QaCgBCSgh4eHfY2Q1s7+SNG2y5jkBh8U/EyfKwI5QWjKWPPc0w8EJJBtQ9Nu48Cx59it8ouTENhxaHFsaQhI0CmatVdk6z1LeCVazefPnw+MN6P/Lc3J1hKmik1DgkBSBBDYSZEkHwgUnIBE9vbt25sa2zJAEtnjcqsuY2oVYbys913GuuSeYhP45JNPar/5o0eP1kax445AawR8enp64X+DKOKxq4ATqkpAq3XINdwrsjW6rXghpEQIqG3z9ttvh4ps286ZmJhI5JpkAgEENs8ABCCwQEBzroPWyVZkzkdlHc1tJbI1ks2owsJzwk55CJw+fdpIXEsod5J0vvKRYI+TGMGOQ4tjS0dA0cX7+5tFtoJxkhIlEDSAYL1vtO3v7zf3CDiXKPeqZobArmrNc98QCCBw9+5d3zlLijbe09Nj7t+/H3BmwT+Wu7h3JMF9f/x4wW+Q4kOgmYAald98803zF218onyUX5yEwI5Di2NLSSDI9ty6ReCzBCtcwnl0dNTs2LHDrFq1asHrxhXY2t+6dWs5484kyJKsWhOIZwlb55fbIzDiua0aCpZDAnKTWrlypa8B+vnPf17ekWzVhebGacTaFdfuvtYyJUGgJATiCuKw25Z7edz8sM1hRPmuMgT8IovL7pRxucwcVKqEtldY2/caTBgbG8tBKSlCkQkgsItce5QdAikRUERNGRhFEV+8eHFtqYulS5fWtjI+zz77bLmjbsoVfmjIX2QPDBijuXMkCJSAQFxB3OqW4+aHwG5FlO8rQUA2RStXnDhhzIEDT196rylMpEQJaF622jdWVAdt5VauY0kQiEsAgR2XGMdDoEIEJLT9lrjo7e01v/vd78oddVPzsNyRa7/9ixcr9DRwq2UkoHnTcQObhXFAYIfR4TsItCCgWB/elS3UqcsyUi3Atf+1PPaCXMYV4HXPnj3tZ86ZlSWAwK5s1XPjEIhG4Pbt22b9+vW+Pb0yPjdu3IiWURGPunKl7i6+f78xCjrjff3618ZIiNP4KWLtUmZjjKJ+x11aKwjct99+axQ0LU5iBDsOLY6tBIHz55s7d2V7WNEiteo/fPiwkXee30i2xDfRxVNDX9qMEdilrVpuDALJEQiLvjkwMFCNqJtBa5ZqZJuR7OQeNnLKlIACkyURRVyF/vDDD2uCPc4NILDj0OLYShDQFCXvKLb1oCprkNEuV6xWSFFbxk9g6zNFF7969WqXS8nli0QAgV2k2qKsEOgSAS3fpYbw0NCQrwGSG7ncyUud5Lqn4GfeUWy9lwvZl1+ydmmpH4Dy3pxdquvhw4dt3aRczCWu1RDVKHachMCOQ4tjK0NA9kbeUbItrs3Zt4852Sk9BB9//LHR9Lcgkb1p06ZqDCakxLdq2SKwq1bj3C8EOiCgJbrkLqXlumzQM20VCE1LW8xVYa1oLddlRxO8W+bKdfB0cWq3CEhY20al1rGOumyXxPT09HTDuXHvAYEdlxjHV4pAkLt4pSBkc7MaJBgZGVn4P7P/ie5Wo9wa7SZBoBUBBHYrQnwPAQg0EPiHf/iHwLlKciUvfVIngiusR0aeRnxV9NcPPqhHg52fLz0KbrA8BKyruNuYlOu4BLf3pRFv9zjtawS7nYTAboca51SKgKKLuzZH+3IhR+gl/hjIW0/u4N7/N/f9tm3bah59OpYEgSACCOwgMnwOAQgEEjh06NCCAXJHsmWEfvSjHxkFRit1sg2eZ54xRi/b+Fm3zpht2+rvNWebBIECEZCrt8S025iMsv/FF1+0fZcI7LbRcWJVCEjIWRsjYW1dxj/+2JgqeI1lXM/37t0zH3zwgVEQ17D/v8HBwfJPjcuYfZkuVxmBfeXKlYYfykWCEpXpOeZeMiYgV/CNGzfWflNyD7dGyO5v3ry5/GtHan7c//gfTxs7avT8/OeN73/1KwKgZfxscrnOCUhoazqIxLbfaLU+V/TxqK7kYSXCNofR4TsI/EDATk2Sl5QV29pnJDu1R2R2djZ0NFtRx8fGxlK7PhkXm0BlBPatW7cWRIDEwMmTJ4tdc5QeAl0mcPbs2YbflBXZ7rb0I9mqAy2dYhs8QdvZ2S7XFpeHQD4JYJvzWS+UKmcE5A7+H/7D06Bnu3cbo5c6djUtKU9TklSWkrhPS0AHLd+lts66detir5yQsyeL4qREAIGdEliyhUAVCCgoiCKIu6La3a9EdPHHj+vRXhXgLEhg6zvmy1XhJ8E9xiSAwI4JjMOrTcAv6JnsTh4CbMqry460a78ESW0cuYK77Rrvvrz5CHxWgspO+BYQ2AkDJTsIVI2ARqllcPx6ebXkhZa+qES6di1YYKsBpCW+SBCAQAMBBHYDDt5AIJyAOmqDRLZsUDfSzIwxijnidjCXRGAL5/z8vNESXVo9xSuu7Xt99+KLLzInuxvPX06vicDOacVQLAgUiYAM0Nq1a32Nj4T3559/Xg3Do8ZPf39jQ8NtdGh/aMgYjXqTIJADAknMo3ZvQ3O34yQEdhxaHAuBHwgMDzfbmSxHsZ88MebWrbo989o4vS+Ji7h93jRCferUqVo7J0hoa0BBQRtJEBABBDbPAQQgkAiBd955pyaw3ajidr+vr8/s378/kevkPpNWI9lqfBw5kvvboIDVIKARmO+++y6Rm1U+yi9OQmDHocWxEPiBgOY5//rXjUE1NR9bgTWvXEkPkzqHlX/YlCj9B2iUXWLTviTGNaod9pJoz3myQjtoapyW+GL5rpxXYkbFi2cJMypUGpfBiKdBlTwh0EjAXb7Luk7Z7fr168u/fJeLQz34Gq1WY8PvxUoGLi32u0RAv8+g9a6961+3eq98ENhdqkguWz0CQZ25iiye9PJd1jW9lYeWn61L6jNdW1Otwl5eYW8Fvt2qcyBM5Ou7CPFSNJodNJLN8l3V+yn63TEC248Kn0EAAm0RUM+tXKR+8pOf+LqLVyLomUtOIluj1RpVsGuXuts//rFu7AvQc+/eFvvlIWA7wJLcxqFD53ccWhwLAYeA7IYEoQSnV8Qm7SUV5g7uvXZZ3kuUBySNZIdNi2P5rgBwFfoYgV2hyuZWIZAVAQltrYXtbbRrnexf/OIX5lq3grFkBcDvOjLWQQ0PNYYQ2X7U+CxlAt7faBLv4xQZgR2HFsdCwIdAUOwPBR9LMslGyXa3cg8PsnNF+zxEYAtr2Cg2y3cl+eAVMy8EdjHrjVJDIPcE7t27Z9577z2jedjeRvvKlSvNhQsXcn8PiRfwxg1EduJQybATAvptxg1MFnQ95aP84iQEdhxaHAuBEAIazZZ7uCtk9T7pNbI1D1vi03st97r63n2Nj4e7dvuNwrv5dWO/hcAOG8XW/6A89uTRN5e0u37II8BX+SEQzxLmp9yxS4IRj42MEyCQCIG7d+/6rpUt43Pnzp1ErlGoTNTQCGosMJJdqKosQ2Fv3ryZ6G3EzQ/bnCh+Mqs6Ab952Yo4noaHlJ2X7WfP0qgHXa/V/GnNsXaFvXdfc7TD5nDrOztC30Jg6xbVhgkKeGYHFgYGBlgnO43nIed5IrBzXkEUDwJlIBAU/Exu5JWLuBnkzmcbKYjsMjzy3ENEAgjsiKA4DAJRCSjOh7Undnv6dNSz4x+nWCPejuP4uRT2jMnJycD52BLZWqqUOdmFrd62C47AbhsdJ0IAAlEJyEVKc5Jsj6673blzZzXWyHZh+bny2YaQtmqskCBQAQII7ApUMreYLQHNvXbtid1Pek62967kCm1dvb3flfz92bNnzejoaOBodmU99kpe72G3h8AOo8N3EIBAYgRkgDT32hXX2l+zZk0152OrsSMXtDffNObAgebXuXP17zXfjQSBghA4HXOkDIFdkIqlmMUiYIWuFdfayvU5DVdxLxl1IFc0TUxMmFWrVjUpANK5AAAgAElEQVS1c9TW2bRpk5menjaKT/MYu176JwSBXfoq5gYhkA8CT548MVu2bPE1PDI+WlNShqdy6f798GAxcvfLolFUOfDccNIECHKWNFHyg0CbBBTYTB24r7/e2Hn77rvGaMktUioE1M7RMqVyC/cOJui9lvbq7+83IyMj1fPcS4V4fjNFYOe3bigZBEpJIMxdXMFAZKAql8Kii2vkIek1TSsHmBtOm8AXX3yx0KCMcy1GsOPQ4lgIxCRw8aK/u3gVO7Njomv3cLVhDh8+XPPO8xPZ+qyynnvtQi3geQjsAlYaRYZA0QmcOHHCt4dXvb76rpIpqCFkXfz0PQkCKRLQCLRcGD/55JPa9ptvvml5tW+//dbILdxtSLY8yTkAge3AYBcCSRNQh7WNim1tibZDQ3hGJc3ak5+WIl2/fn3Df6P7PymRrfc7duyo5sCCh1fZ3iKwy1aj3A8ECkBAPbyDg4O+hkfuU2p0V3KOkkay1fBxG0LuvubV6RgSBBIk8N1335mjR4/6/h71uUS0N33//fc1Ie42GLXPMl1eUryHQJcJTE/725QIy1B1ueSFv/zt27fNxo0bff9b7X9nb2+v+fjjjwt/r9xAIwEEdiMP3kEAAhkRkKu4lunyC3wmkT2stTurmmZn627hrri2+ytXGqN52yQIJEQgSFzbBqC2EuE22bnW7vfKI8qIt83DbhnBtiTYQiBFAlofWrbD2hFt9Z5lIVOEXs9abZ3nnnsuVGQrynglp8elTr97F0Bgd489V4ZA5QlolFrRxSWo3ca69rWs10zay4rkvQaCRh40yq21R0kQ6JCAFcty8/YKZInqr7/+uja6baODu3Ot7W9Wx7SbENjtkuM8CMQk8OhR83rVEtrXrsXMiMPjEnjw4EFtQMH+Z3q3zMmOSzT/xyOw819HlBACpScg46MeXK/R2bp1azVdxd0a1wiDO+pg9xVdnKU+XFLst0FA862teA463bqQe8W15mvLVbyThMDuhB7nQqANAufPN9qU/n5jJL5JqRJQZ6ZfO8e2exYvXmzeffddBhZSrYXsMkdgZ8eaK0EAAiEENAdJc5GssdFWQc/GxsZCzqrAV1puxevaZ0X23r0EqqnAI5DmLUZ17dYotf1tfvjhh+bhw4eJFAuBnQhGMoFAdAIS016bwkoV0fl1cKSWIr106VLokqVayquSS5Z2wDWPpyKw81grlAkCFSSg+Ud+87EVhVOBQiqdFIzGimrvVg0jLbnCaHalH5F2b16iOcootEaxdaxGrZNMCOwkaZIXBCISGB9vtimsjx0RXueHaXqc4szYTkvvVkuWPsKroHPQXcyhMgJ7dna24UE+qGi8JAhAIFcETp06ZXp6ehp+qzI8mqN96NCharuLnzzZ3CByxfbx47mqSwpTDAL6fUVNcY6Nmie2OSopjoNAggTm5prtiVzFFWBTS3uRUieg4GeKNeMV13q/fPlys2fPntTLwAXSIxDdsqZXhkxylruF+xAjsDPBzkUgEIuARrF37tzZ8Fu1v1sJbwnwSifNnVPnoCus3X2C1VT68Wjn5vX7ipqiHKt5hnEStjkOLY6FQIIEvHOxrS3BjiQIOTwrDRzYNo53K5H9u9/9ruYuToTxcI55/Da6Zc1j6WOUCSMeAxaHQqCLBBTwbNOmTb49u1pPUr2+lU9y5bONIe8WN7/KPx5xAEQRzTa/VsdaN3J7fJQttjkKJY6BQAoENFItV/GBgUZ7QtCzFGD7Z+k3ii1hvWTJErN06VKjwGf636384II/vlx/isDOdfVQOAhUk4BE9kcffeQrsjXCTW+uMUbrmnrFtX2vkQnN2445mljNp63ad63GmyKJR3m1Otaupx2HKAI7Di2OhUAKBGQnrO2wW4KepQDaP0t3FFueet5pchLar776qv/JfJpbAgjs3FYNBYMABN544w2zatWqBhcq+37z5s0EAVHDyDv6YBtI2mokgvWy+SGFEJBoTvoVcrmmrxDYTUj4AALZE/DrsFXcD31OSpXA/Pz8wvJddsTa/U/WaLZeGnggFYcAArs4dUVJIVBJAseOHTN9fX1NIkBLeKnnVw30So9oK3q4X0RYK7S1XrZGsxOO/lzJh7GEN+025JLaj4MJgR2HFsdCIEUCQatVMO0oRej1rO/cuVNbpjRIYOu/eWRkpNptndRrIdkLILCT5UluEIBACgTOnDljtDakVwBo3Wx9fvjw4RSuWrAs1QjSiLUV1t6t1j3VmtokCDgE9JuKG5jMOb1hV/kovzgJgR2HFsdCIGUCfiJbdkXBNYl/kir8c+fOLcy5tm0dOw/bboksnmoVJJp5PEuY6KWzzQwjni1vrgaBpAlcvnx5wY3KGh+7lchmzUhTF9BDQ8Eim3l1ST+Whc/v5s2bid5D3PywzYniJzMIdE7gxg1/GyKXcVKqBE6cONE0B9u2c7Rds2aNUVuIlH8CCOz81xElhAAEfiBw9erV2prYrsHRPkt4OY+I5mmFiWyNUJAgkBMCCOycVATFgIBLwG9OtrygHj1yj2I/YQKa7qZVVPr7+32DvKq9o+/1v0nKNwEEdr7rh9JBAAIeAmNjY7XlK7wiWy5U7733nnmsOclVT2oEyQBrPVPNwfa+5O7HaETVn5Jc3D8COxfVQCEg0ExAdsI71UjxPkipElAwM/0v/vmf/7lZuXJl09Q4tX0U5JWgZ6lWQ8eZI7A7RkgGEIBAlgTUw3vlyhXz/PPPN81XkuEZHh7Osjj5v1bYmtlazosEgS4SQGB3ET6XhkArAuqwlk31Cm2WgGxFruPvJaDlEu4dTLDvt2/fzoBCx5TTywCBnR5bcoYABFIkIKGtqJrW2NitAp9N4QbdSN4vcI1tMGmUmwSBLhFAYHcJPJeFQFQCCo4p93BrM7SV6H7yJGoOHNcmAXeNbNvGsVumxrUJNaPTENgZgeYyEIBA8gTm5uZ85ylpjlJSkZGTL3UXclRDKGy97JmZLhSKS0JAMxnuNXSSHZRbKgkCEMgXAXk7uQJb+xcv5quMJSyN/h/9VlCxInvdunVG7SBS/gggsPNXJ5QIAhCIQcDbw6te3SVLltQCnx04cAAXKstSItptIO3e/XRUQqMTr75an7dtj2cLgQwIILAzgMwlINApAQXPdO3Htm3G7NljzP/8n8boO1JqBCYmJswLL7xQWyfbCmt3O6oYK6TcEUBg565KKBAEIBCHwMzMTMMotoKdyfjYrRrwpB8I2KA1Mshelz81nv7+70EFgUwJILAzxc3FINA+gePH6yJ73Tpjnnmmvi+hzbJR7TONcabmXLvC2u739fWZTz/9NEZOHJoFAQR2FpS5BgQgkCoBa3g0cm2NjhXZR48eTfXahcpcAWskrg8caByNkLjWiLa2uIsXqkqLXlgEdtFrkPJXhoA6q2Uj9u9vtB/vvVcZBN280aApcWrrbNy4EVfxblaOz7UR2D5Q+AgCECgWgfn5+Zr71OLFi5sEtgwP87Gd+pTI/q//tbGBpBEJCWyJb7n9/fM/OyewC4H0CCCw02NLzhBInIDmYstOSGjrpRFseUNptQpS6gROnDhhli1b1tDOsYMKQ0NDLN2Veg1EvwACOzorjoQABHJM4O/+7u9qc6+tsXFHs1etWmUUdZz0AwGx8Ft6xTaa+vuNIXAKj0sGBBDYGUDmEhBIioBsh3UVl71Qx6w8og4fNubRo6SuQj4BBB49elQbrbbtHO92xYoVNfG9d+/egBz4OCsCCOysSHMdCEAgdQKnTp2qBTfzGh31+I6NjaV+/UJdQEuvaPkuRYK1wtrdIrILVZ1FLSwCu6g1R7krS0BC2i+GBysAZPJI3L1712zYsMF3FNu2fRRdXPFpSN0jgMDuHnuuDAEIJExAvbv79u0zg4ODZuXKlQ0GSAbn5s2bCV+xJNm5IxKuyNbSXkSILUkl5/M2ENj5rBdKBYFQAvJwmp5u7py9ciX0NL5MhsCFCxcagrtaYe1uJcLx3EuGdzu5ILDbocY5EIBArgloTrbf2pEyOPqO5CHgXcLLFdlDQ7j+eXDxNjkCCOzkWJITBDInIPvg2guNbDO9KJNqOHPmTOhIdm9vr/n4448zKQsXaSaAwG5mwicQgEAJCNjI4m6Prvb1OcmHQNAothpP+o4EgRQIILBTgEqWEMiKgN8UIwVBI2VC4Pr162bLli0N3npum4dR7EyqwfcilRHYCm/vPnQszO77PPAhBEpD4MaNG2b58uUNv3v9BzA3KaCKNa9Oy7AoOIo7ImH3r10LOJGPIdA+AWxz++w4EwJdJ6ApRNZGuFvm/2ZWNZr6pnaNq3HsvgK8TkxMZFYWLvSUQGUE9oMHDxoePoWzJ0EAAuUloLlHV65cMQMDAw2/fRkefcbcpIC6V4NJAc7cxpL25fp3/37ASXwMgfYIYJvb48ZZEMgVAa8HFKPYmVaPooZbUe3dahT7zp07mZaHixmDwOYpgAAESk1AkTS9vbtr1qwxChJCCiCgNU29Alvv1TFJ0LMAaHzcDgEEdjvUOAcCOSOgeddem4HXU2aV1Gr5LlzFM6uKhQshsBdQsAMBCJSVgN987E2bNpn7jMgGV/mRI80NJjWgWL4rmBnfxCaAwI6NjBMgkE8C3lFseT0RVDSzugpzFVfQ12lFfSdlRgCBnRlqLgQBCHSLgN8ottyo1KureAwKFFKZpGVUNN+6VXr8uD5i7R2VcN/LDfDJk1Y58T0EAgkgsAPR8AUEikXAbxR7eNiYqSkii2dUk2Gu4gR4zagSfrgMAjtb3lwNAhDoEoGxsTGzbNky33lK6t2Vi1Ulkty8NbJw/nxroS13cK2F7Ypq776iyJIg0CYBBHab4DgNAnkkIDHttRF6z5zsTGpL/6f9/f2+7Rx9rlUbSNkQQGBnw5mrQAACXSbw+PFjs3XrVl/D09PTY06dOtXlEmZ0eXfdUgnt06fD51Wr4yHIXdw2pFj3NKPKK99lENjlq1PuqMIE5NEUtBIFkcUzeTCmpqaM1sD2BjvTe41wk7IhgMDOhjNXgQAEckBAjXm/+dgyPJUZxXYFthXI2p48GS605VruHu/uS4CTINAGAQR2G9A4BQJ5JqDpRRqxdm2E9jVHm5Q6Aa2QsnPnTl+BzbJdqeNfuAACewEFOxCAQBUIaCTbT2SnOoqtaKpynev0pdHmgwc7e2nU2tvwcd+HCe0wkY2reBV+PonfIwI7caRkCIHuEwiK4YG3UyZ1I1dwrZbiXUFFgwn6bHJyMpNyVPkiCOwq1z73DoGKEpibm/M1PJqjlEpk8aBRY1fY5m1fow1+jSFvpFi33FreiwSBGAQQ2DFgcSgEikRALuGufdA+gTEzq0G1cy5dumT6+vqaRrNZRSX9akBgp8+YK0AAAjkkoDnXGrX2zlNKJdJmEQW2gptp5N0bJVwjE4oM62046b3O8R6fw7qnSPkhgMDOT11QEggkTsCvQ5aO2MQxh2Xo57Gndo8GFBT8VS7lpOQJILCTZ0qOEIBAAQjIVXzz5s1NAjuVSJtFEtha51qu7GFGV2ubBrmaS5STIBCRAAI7IigOg0ARCWglCq+t0DQnUmYEgjz2JLJXrlxpbty4kVlZqnQhBHaVapt7hQAEGgjcvn3brF+/vklkv/XWWw3HdfwmqTnYMoRaZqOTV9CyW1ZYa4Q6StIoBKPYUUhxTAgBBHYIHL6CQBkIaElIr62Q8CZlRuDEiROBy5T+6Ec/MjNEeE+8LhDYiSMlQwhAoEgE/Nyn1KtbWrcp72i6Rhc0Yh1VWLuVOz7e3HBSQ0rB2EgQiEAAgR0BEodAoMgEtNSjdxRbNoeUGYFHjx7VVkrxTomz7zVPWyPdpOQIILCTY0lOEIBAAQkoqJncwq2h0bbUS1lYga0Gj0YW1PhpNwVFipXIVjRyEgRaEEBgtwDE1xAoAwEJancUW/YHQZdpzQbFnbFtn0OHDmVanrJfDIFd9hrm/iAAgZYEZFiskbFbrYt9+fLllucW7gAFKOtUWLs3LVc/uaz7uZ4zku2SYt+HAALbBwofQaBsBBTT48iRxpFsdfaGxfooG4Mu30+rUWwt38UodnKVhMBOjiU5QQACBSWggGcXL15sWrpr48aN5TM47biCR6lXiWx3hMLuE/QsCr3KHoPArmzVc+NVJOCdj633pMwItBrF3rt3b2ZlKfuFENhlr2HuDwIQiEzAz/hobtLk5GTkPCp9oLfxZEW2trgDVvrRCLp5BHYQGT6HQAkJ+M3HvnixhDeaz1vSKLYGDqynnnerUWwCniVTdwjsZDiSCwQgUAICQS5Uvb29RqPcpBYE5O4XtEY2IxUt4FXzawR2Neudu64wAb+OWHlAkTIh8PHHHxu1abzi2r5X4FdS5wQQ2J0zJAcIQKBEBIJGsXfv3o3IjlLPGql2R67dfQW26SSoWpTrc0yhCCCwC1VdFBYCnRPwG8VWxyxeTp2zjZiD3+opVmAr/kxPT4+5e/duxNw4zI8AAtuPCp9BAAKVJRA0ii2DI/FNikDg+PFgka2lvUgQ+IEAAptHAQIVJOA3ii27QcqEgIKZhbmKS2xv2LChvMuVZkAZgZ0BZC4BAQgUi8Bbb73l6z5V6vWxk6wivxEKdyR7djbJq5FXgQkgsAtceRQdAu0SkI1wbYLdZxS7XaKxz5uamqqtja1lSZcuXdr0Wrx4sdm2bZuZmJiInTcnGIPA5imAAAQg4CGg3l0F+7AuU3areUuav0SKQODGDf8GlBpSWtKL5VkiQCz/IQjs8tcxdwgBXwJ+nk7E6vBFldaH9+7dM3/1V39lVqxY0dTese2e1atXG4lxUjwClRHYwmIfFruNh4qjIQCBKhHwWxtb/x24TcV4CrTuqR2Z8G5ZIzsGyHIfam2y3Zb7brk7CECgRsAvXgdxOrrycIyOjjZpJPt/rG0plyxNmTQCO2XAZA8BCBSTgEbW+vv7m4yORrH/8i//koBnUapVboAarfaKa/tey7PgEhiFZKmPcRty2idBAAIVIeA3in3yJMEwM65+tXdOnz7t67ln/5+JLh6vUiplyexDYrfxUHE0BCBQNQJnz541mndt/zPsds2aNUYj3KQIBLT8ikYlrKj2bkdHcRePgLHMh9jfld2W+V65NwhAwCGgDlY/+0DAMwdSdruKIG7/h73b9evX16bIKRAsqTUBBHZrRhwBAQhUlMCTJ0/MwMCAr8FRAJD33nvPqOeX1ILAzIwxmsP1n/+zMQcONL/ef7/+PWuNtwBZzq+9Dbly3iV3BQEI+BK4csWYX/3KGHW2uq/PPzcG++qLLK0PL126VFuiy/ufbN9LgD/77LNEF49QAQjsCJA4BAIQqC4BBTyTkJagtkbG3UqAS4iTIhC4f99/tMKOamvONqlyBNzfk/ZJEIBAxQjIhvpNJ5LgJmVGQKPTCmrm/U923xPsNVp1VMqSuQ8IRjzaA8JREIBAncDY2FhtGQvv/4hcyOVKTopIQC6BmmNnRbV3S7TSiCDLc5j3N1WeO+NOIACByAS0fKMEtdcmaEUKUmYE1J7ZunWrWbZsWaDQfu655zIrT1EvhMAuas1RbghAIFMCjx8/NkePHvWdky23KeYlxaiO+fnmRpRtVGk+HoHPYsAs/qEI7OLXIXcAgUQI3LrVbBtY1jERtHEyUXsmbD62ljGd0dQvUiABBHYgGr6AAAQg0EhA860V4MwrCHp6esyPfvQjc/fu3cYTeBdMwC96rBXZalCNjxP8LJheqb7x/p5KdXPcDAQgEJ2A4nD4BT2TPWA+dnSOCRx56tSppvnY3qlyy5cvN5pGR2omgMBuZsInEIAABAIJ7N27t0lgW4GA21QgtuYvZJStoA7aXrvWfB6flI6A/f3YbelukBuCAASiE5CY9rMJ589Hz4MjOyYgr73NmzcvtHc0kGD/o+1WgltxaBhcaMaNwG5mwicQgAAEAgnILUpBPvzmJ+E2FYgt+As1mvwaU/rs/7d39q4SdFW+PmgygYKo4GCk0RhMYDBRMx8KM6HMxPMHNBo5YKhg5gSKnOzCm7yhYCI4cC4G8oamZhc5kdHF6Pof9GVV9W/Xrr3X/qg+1d1V3c+BQ1VX7b32Ws9a+2NVVVfbnWx+EqTM7kHOaLGm7YOYhRkQgMAlBGzM997T8aUv8VTTJTw/UOfnP//5sN75/Oc/P3sHjd25tmMas7/2ta+RZCecSbATIHyEAAQg0CLw2WefFb+fZHe4+VtAoPT2WCXd3LVYAHOfRbVI03afVqA1BCCwGgFLsr1Hxe072vzdlICtd+wute5gW3Jt/xqvtf3qV796+oP9Ugh/AwESbAIBAhCAwAUEvO8naaKxiYjvJS2A+qtfTXexbVH1D/8wfbZE++/+7nSyn/Did7IXQN1PUfUbbfejOZpCAAJXIxA/3RS/XdweIWcuuBp2T/C3v/3t4Y61PRKefg9b47ZtLfH+4Q9/yAvQTqcTCbYXSRyDAAQg0CAQv2Xzc5/7XHY11674kmQ3IManbTFld///8R/nyfXf//3pdDiMx77xDd4wHjN7kP14gWb7/EEAAhAYvh5kF1z/5V/mc4LNEZZwk2TfLEjsLrbdoU7H6tJnewP5r3/965vpt8WGnmomSwNhiw5BJwhAYD8Efvazn52+8pWvhO8i2dVbS7b13ST7XtL/sZ+k4q+fwL//+7iYsoXVP//zfGFlyZd9D4+3lvbz3EFJ5uYdOAkVIXAvAv/5n+M8YE82xY+N21NN/N2MwC9/+cvTl770pe4k216QZr+88qx/JNjP6nnshgAEViHw6aefDhOOJdXenWxLwH/3u9+d7I2c/HUQsDsT//RPp9O//ut4l8I+p/92B+N//ud0+uyzDoEU2ToBEuytewj9IHBHApZI/9u/jV8dSucC+6UJLrjezDn2qHg6Xtc+f/e7372ZbltriAR7ax5BHwhAYFcE7DHwL37xi+HOtd62GW/t/Le+9a1d2XU3Ze2Ktz0Krpectba8BO1urlqr4XSBtpZc5EAAAg9AwF6cFd+59uYEXq51E0f/+Mc/Di87S8dt7/Mz/7IKCfZNQpJGIACBRybwySefnGwi8SYYHfvCF75w+tGPfvTIGNazzZLs1oIqXmTxe9nrsb+DJPURbe+gAk1CAAJbJvDf/12/6Gp3tvm7OgF75HvJY+I2pj/rL6uQYF89HGkAAhB4BgLf/OY3qwm2TTT24g97ORp/HQTsTbFxEl3bt2Sc77p3QN1mESXW2m5TS7SCAATuRsAuutbmADv3m9/cTb1navg3v/lN84aCxnLb2svRnvGPBPsZvY7NEIDA6gR+8IMfNBNs+/ku+3kv/joI2Pfq/vZv24sqLbr+4z86hFJkiwTixZjt8wcBCEAgI/Cd79TnA/sVCv5uQqDnhoLG9a9//es30WlrjTzVTCZna7s1Z6APBCCwXwL2ErMvf/nLzST7Wa/mXuTZTz+tL6iUXNvWvrfN3y4JaE7WdpdGoDQEIHBdAnbRNR7z0337hQn+bkLAHhW3t4RrzC5tn/mmwlMn2KWA4PhLs9PACEbEADFwixj43+kiqvD5Dy/79cd37M7ME//dIo5oY7/9A9/hO8XAZ4Xx3xLv/7vjOUD2sd1GrK8xJ5Ng0yFJpokBYoAY2GwM/M3Ly6knyf6vHftwjcl8z/k5i8ptLCrxA37Yegx84+Xl9P8KSfb/2vEcsHXuz6bfGnPyUyXYP/3pT0/2/2yBgr1MmsQAMUAMbDcG1pjMSbC361/6Hr4hBogBYmA/MbDGnPxUCbYWIAT5foIcX+ErYoAYePQYWGMy1/y2x+2j+xf7GMOIAWKAGNhPDKwxJz9lgr3HBQg6QwACEIAABCAAAQhAAAIQgMC2CZBgb9s/aAcBCEAAAhCAAAQgAAEIQAACOyFAgr0TR6EmBCAAAQhAAAIQgAAEIAABCGybAAn2tv2DdhCAAAQgAAEIQAACEIAABCCwEwIk2DtxFGpCAAIQgAAEIAABCEAAAhCAwLYJkGBv2z9oBwEIQAACEIAABCAAAQhAAAI7IUCCvRNHoSYEIAABCEAAAhCAAAQgAAEIbJsACfa2/YN2EIAABCAAAQhAAAIQgAAEILATAiTYO3EUakIAAhCAAAQgAAEIQAACEIDAtgmQYG/bP2gHAQhAAAIQgAAEIAABCEAAAjshQIK9E0ehJgQgAAEIQAACEIAABCAAAQhsmwAJ9rb9g3YQgAAEIAABCEAAAhCAAAQgsBMCJNg7cRRqQgACEIAABCAAAQhAAAIQgMC2CZBgb9s/aAcBCEAAAhCAAAQgAAEIQAACOyFAgr0TR6EmBCAAAQhAAAIQgAAEIAABCGybAAn2tv2DdhCAAAQgAAEIQAACEIAABCCwEwIk2DtxFGpCAAIQgAAEIAABCEAAAhCAwLYJkGBv2z9oBwEIQAACEIAABCAAAQhAAAI7IUCCvRNHoSYEIAABCEAAAhCAAAQgAAEIbJsACfa2/YN2EIAABCAAAQhAAAIQgAAEILATAiTYO3EUakIAAhCAAAQgAAEIQAACEIDAtgmQYG/bP2gHAQhAAAIQgAAEIAABCEAAAjshQIK9E0ehJgQgAAEIQAACEIAABCAAAQhsmwAJ9rb9g3YQgAAEIAABCEAAAhCAAAQgsBMCJNg7cRRqQgACEIAABCAAAQhAAAIQgMC2CZBgb9s/aAcBCEAAAhCAAAQgAAEIQAACOyFAgr0TR6EmBCAAAQhAAAIQgAAEIAABCGybAAn2tv2DdhCAAAQgAAEIQAACEIAABCCwEwIk2DtxFGpCAAIQgAAEIAABCEAAAhCAwLYJkGBv2z9oBwEIQAACEIAABCCwYwKffPLJ6eXlZfH/73//+2B1ScYf//jHUCbd+cMf/nD6xS9+cfre9743a/v73//+cDyWr7qldkxW+lcqW9MplcFnCDwiARLsR/QqNkEAAhCAAAQgAAEIbIaAJahKsi3p9f7++te/njx/nx4AACAASURBVH71q1+FcmkCHMuwpPkvf/mLJ2Y4buftP0127XOccHsC4nZM51I7VjcuW9PJa4djEHhUAiTYj+pZ7HoKAqWrx5rEtbVJzyb03/72tyebwC/5iyf92mQby+7RT7rZJN36K8nrqSvZJRliVdpqoRMvTFS2tKiwhYzKaGvt8wcBCEAAAs9HQPNAKcEWEbvDbGU17+i4bVsybI7XPFWaq//85z8HObHseL/VzqVl43rsQ+BRCZBgP6pnsetpCMRXj71J2yZbS/R+8pOfhAk1vaLdA0uTrW0tUe/9q+kn3bSYKCWqcVuxPNOltICI66T7sQyPmcrHFxXihU7M0nSoXbQwVmJn8viDAAQgAIHnJKC5oDbvGBnNUfG8I2ItGZq3Wm3oYrPkpttWO3H5JWXjeuxD4FEJkGA/qmex66kI9E5uNuGqbC0pTOFpslddSzCX/KlebcKPk+yW7B55a8mQXvFCx5J66WDb2p/VszJLmdVkcg4CEIAABPZHQPNGbS40q2x+trLxvCNrWzJ097rVhuSVtq124npLysb12IfAoxKorwwf1WrsgsCDEeid3OLHwryJu4TFkkybtC9N0Hv0ix+ntoS+9tcjr1bfzvXK0MWFlJfuEpic2hMBuktg7PmDAAQgAIHnJdA779QItWTo/Ecv6kpOT6K+pGzNNs5B4FEIkGA/iiex46kJLJnclpQ1qErKLaFckgTHDultU+Vaj1KrXM/EH+sR7/fKqN1J0J0CuwDh/aku37v26HAMAhCAwHMR6J13alRaMvTUlZX705/+VBNVPddqJ668pGxcj30IPCoBEuxH9Sx2PRWBJZObyvYmfbpTq+86q/6Sq+Oq00qI1y5XC4Letmoy9Pi3yUrvcFs93fFf8jh+rT3OQQACEIDAfgnU5h1dkPXmktjimgwrF89LdhG49oRVLDfdb7UTl19SNq7HPgQelQAJ9qN6FrueikDv5KYJ3Mq3HsM2gCof36FV0mgyehPHXv1Ubkt3sFuBpLsFtpCJ/+I7//Fx9iEAAQhA4DkJaI7zLjbrCbGPJthG1i6Aqy3bWntLv6ak+p6uqfeWlE3r8hkCj0iABPsRvYpNT0egd3LTle00GSwBU/k4Gdd3kq3N+HhJhh3v0S9+cVjrinuPvJo+vTq1ZNh5LYpMp3hhZIuSXs497VAGAhCAAAT2TaA0d9nFaiXF8TziWVuSkZbV+z9U3rZLEm3VI8FOyfIZAm0CJNhtRpSAwOYJ9EyElsBawmdlWwmsDNbd2fhOte5qm5zex8R79FMy35OU9siTDaVtTYZsbC10JFsLI9Pd6tr33kx+b33JYQsBCEAAAo9LQPNObduaN1S3J/G1uUjzuOrZtvWUmHkgLt+736PT43oXyyAwESDBnliwB4HdEtDk501ulljbbzFb8mfn9V3qlrFKEr3vaiuhtHbj5Lsks6af1YmT/56XsrTklfSIj9dk6Mp/a6EjeXoc3GTawsUWNPbPHwQgAAEIQEAEavOO5tXWvFOToXbSrc2rkq/6NkfV1gMq560rUvlLyqZ1+QyBRyRAgv2IXsWmpyOgya22tcm1JxkWPCWZXsK79DFx6ZVO1Da522LCkv/WZC+9bFuSF5dp7UtGbdta6MRtmG2xrN6nBGIZ7EMAAhCAwOMS0ByRzoVmsb5u1Jp3ajJa5KwNm28lw9YFpT+V8XRN6ywpm9blMwQekQAJ9iN6FZuejkBtcrMk1hJiTap2N7v1p0ekrY73p/PWbm2CVl3pV9r26CRZtpWcnok/rhfv12To4kJroRPLi5lw9zomwz4EIAABCBiB2ryjOaQ179Rk9FCOnxgzWaWLwUvaWVK2R0fKQGDvBEiw9+5B9IdAY9KOAVniZxNhKzG1Cd7K1RJfybJytjCo/ZUmX/0EWKutVHZJXlqu9rkmo3ehk8qvyUzL8hkCEIAABJ6LwBpzxBoydLfcZJW+j72knSVln8vjWPusBEiwn9Xz2P1QBHonN32v2sqXrlobmDh5luzatvU2cdX1Evv4e2EtOXJaTZ7KtLZryEjbuIbMtA0+QwACEIDAPgmsMUesIcPoteS0zsceWFI2rsc+BB6VAAn2o3oWu56KwJLJTWVLV62VhLcec1Y5k9d6TFxtegl2/IIwK9e6G26OrcnrdfwaMtK2riEzbYPPEIAABCCwTwJrzBEtGXa+NL/H1CSn9KSaznvzdizH9peUTevyGQKPSIAE+xG9ik1PR2DJ5NYqq+8f99xN1ve6TWbtr9Vm/Kj4mpN57VHvlk41e0rnriGz1BbHIQABCEBgXwTWmCNaMux86f0poqW50cqWnmZrtSNZtl1SNq7HPgQelUB9VfyoVmMXBB6MwJLJTWW9q9bxpNtzJzlOjEuTtKFWm6XkOW7XynpvLo9d1pKnsvqemffSmF4Z0s2ToXa07ZWp8mwhAAEIQOB5CKwxR7Rk6HxtzrL538rVnj6TnNK8HXttSdm4HvsQeFQCJNiP6lnseioCvZObEk4r7yXEerlZbdKNwcby7M536a9HP7VtZVuPp/fIM110AcBbaPTKsDv5VtaTkdrbKzOtx2cIQAACEHhsAppLNE/Y16OW/sUy7C619zvWkm9bmwPjMravebE2z/e0I92XlFUdthB4dAIk2I/uYex7CgKaUFtXmvXystLEqke+W3IEtff70736qX0r791hV7tL5XkLmV4ZYmaLiNqf7nSb3BLfWn3OQQACEIDAYxLQV68072jbupgc0yjJSOcmewLMLgjbPG5zkdqyrbVncrwL7Gqr1I5XZ0lZyWcLgWcgQIL9DF7GxocmEF899hJju2JtZZQoemUMUDxRlq6MpyB1JVwTuMlI/2L9WnLjO+ImM104mOxYXskWszleWKQJdo8Mayu2L5WR2hmXNd1b5dP6fIYABCAAAQhAAAIQ2D8BEuz9+xALnphAnBQryfW2lmxaAlj6brOS77Su1fH+LIGN7zbH9ey4/kr6eYlzqU58hb8kL27f24+T3TVkSFdtSyxK/FSPLQQgAAEIQAACEIDAYxEgwX4sf2INBCAAAQhAAAIQgAAEIAABCNyJAAn2ncDTLAQgAAEIQAACEIAABCAAAQg8FgES7MfyJ9ZAAAIQgAAEIAABCEAAAhCAwJ0IkGDfCTzNQgACEIAABCAAAQhAAAIQgMBjESDBfix/Yg0EIAABCEAAAhCAAAQgAAEI3IkACfadwNMsBCAAAQhAAAIQgAAEIAABCDwWARLsx/In1kAAAhCAAAQgAAEIQAACEIDAnQiQYN8JPM1CAAIQgAAEIAABCEAAAhCAwGMRIMF+LH9iDQQgAAEIQAACEIAABCAAAQjciQAJ9p3A0ywEIAABCEAAAhCAAAQgAAEIPBYBEuzH8ifWQAACEIAABCAAAQhAAAIQgMCdCJBg3wk8zUIAAhCAAAQgAAEIQAACEIDAYxEgwX4sf2INBCAAAQhAAAIQgAAEIAABCNyJAAn2ncDTLAQgAAEIQAACEIAABCAAAQg8FgES7MfyJ9ZAAAIQgAAEIAABCEAAAhCAwJ0IkGDfCTzNQgACEIAABCAAAQhAAAIQgMBjESDBfix/Yg0EIAABCEAAAhCAAAQgAAEI3IkACfadwNMsBCAAAQhAAAIQgAAEIAABCDwWARLsx/In1kAAAhCAAAQgAAEIQAACEIDAnQiQYN8J/P2bfTsdX15OL+f/w+v7/VU6a/B2nPR6ObyeVtfs7Rjsfnk5nDZkercPrs6oWxMKQgACEIDAIxN4fz2eDhtdLzwyd2y7lEBtfVs7d2l7j1GPfr6uH0mwKzzfXw9RIjYmfddIRG/VjmeqErVr2OW1131MSfA1EuxBCQ2y+0ywRxPOFwocRoqpzfm1OwAoCAEIQKBB4P31nPgdT2+Nopy+jMCwRjgcT2/Dle730+vh5bSFeYU57jJ/PlqtWhzU1re1czWZj8ZP9my1n0u/PW5JsFteU6L38nI6XnMGv1U7ib2bHUi0cHKSx8SECz+OC4W93sEejK4w2qxfL/QW1SAAAQikBDTO2ZNYV52f04af5fN5XbKFhDpFLt9vUbdUVz5fj0AtDq5x7nqW3FHyhvv5Hal8uGkS7BZCJTHXfpT4Vu0k9tYGoKTobT+KxwcS7NG20h3qx06wb+ssWoMABCBwawLnu6mH85NmZNirO0B3+UC7OloE3oBAbX1bO3cD1TbVBP38Ou4gwW5yvdWjxLdqZ27wZgeZFRLscdAgwZ57nE8QgAAEHoDAcNfFHl3mMfFreZOF97XIIvcWBGrr29q5W+i2pTbo59fxBgl2k+utEt9btTM3eLODjBZNl97Bfm/x5A72PBL4BAEIQGA/BIZF4XBrVWM5j4mv6z24rssTabcmUFvf1s7dWs/7tkc/vxZ/Euwm2UKipgTw/GbNcZ5/Ox31uNrLy+lwXPIG7EI7Jx2fv2Rt9ra/9Pmt97fT63H+grbD8c19G3d9kHk/vb+9zmyy77plsj7IIm/jcDocD+PLay5IsN8S2/Wm9GEb5GlQGe9wjzpMby/PbIzjpMlXsid5Ly/RS3ii79uPupXusk+N9jNK2k5jw0TaxYcoTkcuxtyJkff3k/GM3yBr31s/HI7529c9LlZufDvO2ZhEv6H/1NhE5866t2P7gj4zoTZAfXE/qyPzdDdt9P3iccFjmPhFV5unuE7jR/Yn7LK4S84He1Q/GnNSvcJLjyycbIyYYt2NI8lO5dh4ksWIFXZ0MM/EbzNOY9uTnbCTGmz3TmCMD4WA5rEXHeg1b9FY2JpXNzq2XdIv3ud9ehpr4jGjd5x0+nKq06LxJOEc+/yDaxGbG9vzSyO4uufMTn4zm+ZjfYh7m0fD2ibSb9X4vlBuqHbDODi3KT7e9/T9c5XYCnaMa6gsTrx5bOa78wXAxCfFPCEpV12nxbrZvhfHBf3iudvv56lwPvcSIMFuktKgMB/YxmpTZzwcj1GCYknJecEZD/7VtmrtnII8GyiyBDJu4+38cxrRwvJdC2tnAPYHGVvfKlHQ20PPnVYL6bjNwa7LWKj92eRgA4t+EsTRuYoxnJQ+nt+s0HTekvnjq5JLHS+8KXUB3xADrg2yMV6wBOVnO5cwCnVSPykWoos/liANCXSqpyaHaPEzJOfxRSVpKi6H1/PbZsd40eCdTnBVNqHd5AKV2uiMbbXR7DOywbZiYRdE9PtwNlkV4z6urP0ohpaMCwvsC/4136hZbeVj78VPJbaqG20Dv8GGyRdx27bIOE6gAqfU34NY2dcZI1Yn6LDyuBeZye4OCYwxGMW+4jq+kNmyS/2kZyxU7HaMPYrZ2ZwmXaRnOtYukG+i1EZzbFsoV2qO22kcS6eRS8bJoPNK40kYhzLlJr0Xrcs+xOpMLvh3Pn9oPRNUXTzPaL3grGcUx05MDQnTyvF9Uns9cucBNXy6XRzYBdnxRpM3H/Wccy/YKU6657EL4vEjjD+gX4hPx28cWk6ABLvJrDKwRRNd1hE10HZP+PV2wmAQL9iViIZeIRnRwuNsXxjUkh99DnKT4xpEg2hxUsdPB/NLWNQYVdqRKvWtBjVnQhoq6ryTSBfbXsi3Zt/5nDfwz+yqySjqOThj/Im5xIGKg+TwOBHNfCo+Dr9zu5OMMpdT0D+RE47nsao6k3wjUm5DNqUsQ2xX+8yMtq1cB27ztiOeM0ZJ3eijdOofFxbaV+FnbR/OTyikTHy2keLRrvjliYJ0XafvSCfvjf7SYbZQXmHci8xkd3cEzmPTrJMqJpNxpmKb+uhMjF0XtEX5rJ9Ldj5WScasn1X6pmJ93uZC+dJxeJosurC/er/QHOA8en/BOKm+PGdrDpL9S8aTaEyewxw8Lr9cbfx140q8nBhMeaWfJe98PGdUka14m8XsdBEmxfPR+BbbtlwZNd/eMg7U1qx/ntWpndM6IIufEKv5WKC+7c1jYpbJk++SPEHllzNWX1qin2LL6edz1/FpIQES7CYwBawzaA5jfPQo6EyW6jmBPiunDyrvt6PBIB94Vb8+4ZQGDMn1BqBI8rRbGBCsQGlQmCbQOQu1nQ06JkztJJPGpEhrT4OGzzO+g51eWyi2rckvHfVG452EVjrkA9do+5yHZ9HFjAq6ykfGXDdovXZDvHTwr+oYxcU8xspsBh3Tdgv2DLoXzgW9UlmuwY2DisdkIizVEuc8VNTPE98XbCjbV+Jn8g+nV90hSWwfmCTHSjaI39xvVlptO31LnJI2JMvt68UYme5ArD3ulWzm+A4InGMs7Vvqc3m8+japfPdYmDZoYt1+q/6Rj/s3Hdtc3c4saucCrrIdoUi6o/7vjJMaA3L/qJ3+8WRotmKDfJu7bK3xNzU8ioVk7HNKlg8V+S1nJAZrx3e33IKVt4yDclvT3JLHY+TLJIAkb+k8JmaJOGvo/LTmfD2g8k3fJYwv00+xlY9XiXg+LiRAgt0Epg7gDP5DP7xtgu0OBmcb1CndMpqMksFfHdKt47IRj/mAYEXV/tJBxG1bE02ir6uSe1CDhu+3S5IE2efqW+DrL8BGhq6cxJZqmzVG0id1huoMj3nHj8bPG1ZclCaSuHRVx+huSyrLb8NnU21DtiaxIvk9nGN7/P1y3HvlpW+KvzWhuro27Iu5DjYPHLz4H4+5bThGlPl5ss8CFF+JL8Sj1Lbaim0xiTpeqmdlqrIL7BxzObQTAoO/k/gaVF/qa8VqYyy8JL4Ut/N4vu3Ydone8xBQP1+y8C6Pk2KS92W148zV8lHN3/kgG8aE/JSv38dZTWPV3Odzou1Pvn6XrFfCjYK141s+acgt2XrLOCi3Nfkrj8dhUnFumDTmmmi+SmNA8dUbj72+SxmrHdemon7qf0v6edoynz0CJNgeldkxDXjO4B8t7ro7zkx2/KHeTm2gkBR1rulFBdOLh6Zj88S4Jfd9eFnCcXjkdP6iq7kc00Ht97FodGoN4t7EKoOrW8n3/XbJhCX7JpZtvl5CNTLP+eXmyIbCwFdjpMVm7gznBRiWaM/vZ8vW0kAd69oqqxhLJ50lbNTGEvZqt8eG2B7bXxL3aV37LH1z/Ornc/+r/BL7pklYssZ4kb2Z/UNMqKyn9fxYVj+cVlw6fasQk7JPugVR5x21lcaIjpfqWXXJXsQuVYDPOyGg/uONvTrmxGXJuuxlQOWxcFl8Sc+pv42xPH2WSpfE7236hfp5Yf5ZOE6WdVY7jt8K48nArjLHielVx1858LxVm7WxKqmyYJ65kNG14rtDbmqrPt8yDsptbTzBNlgXMG7FoHjM51nFVrmfy3dslxEgwW7y0kTpDP7R4q53IC83V29HHaM2eKtz5bqUWy3Kte9zDS92Ot/lDPmX9CwvFPL2vTpTp3Ztqk2sZXOiM5Lv++0jCXZuX9Ssszv3y6iXa3NWVzY4302zsjVGlcVHaCZ522msk3SOj4V6yU6rrGJsPqiPQlR3ZFpmMy+XKFD4qHZ7bAgiLoj7UDfaKevr9YUpSfxQbA3xEMV7Eh+DTgsaKPNTXEZtyfakTR0Wj5Iv1FYaIzpeqmfyJXuBaVKL7d4IDOOaE3eDHYrLwnhZs7VjLFwaX/O4vP3YNm+/Znzp3MQzs/2CcbLcl9WO49fCeDJoXJnjyravO/7G5NRmbawK5Rfzu5CRGrxCfA+iK3LVdLq9ZRyU29pBgi1wCxi3YlA85vOsYosEW8jX2pJgN0lqQHYG/+riTvXyRNRvUuX9dtQxaoN3T5m0bb+OOpyni/TM7VLnzibjxvdMXJtqE2tqhPu5ZoNVqJwvtO2zchufH4zlVReI82r2SUwXM6osPrJWVDZ6WkC2zgfirOZwoFW2aoPatu+ED/t5XFkjasPl4Kt1QZ1KTBRiuNB08FtvX7jEvqHtmJ+9nGnWoOyxN9pav/X6c8mCGnPJdeTFsR6Jln1z/aYCpRhRvZrfe8pMLbG3ZwJDnETjVGqLYqH6nf20UvxZ/SlqQzJrMRiLCPuSdaex7WK9gwHq5+nCW8ed/l8ZJ8v6VOQVxpNBxYhvUPm8o/FkNhyOldzvvJZ1SyWXP0tGaYybalbsLfKr1Kkxmhod98RsjfiOZTty49Pxvjjl/elCG9V27uzqGqCsx7Dwch8RV52SjxV3qW06nqtYXk/HzIZ92Rn5Li1zmX7invbzVDqflxIgwW4R0+BVWJyu0nFMh0Y76jhpx52pLxmVDjgrX0xcKp1endx5icliFpLl6Ct7s4WS6uQjVWJaa9DQeWeRUOJYOp60nH9UW+dHGJu6RxJk7xJGVl31Zm2Nfp0dsrKeXTrm+DnSbtwNZR2WxQWDpCjW7Le1K3ee1IbDQZLSrWKo2mdmlaSLk+SLZw+P6MJIxrrE4wL7RtUnne2Jk7Q99cnhreIL2JnsMj/Fs+Pvkh067o6jkw3pT46VdYgcJ9kL7YsksLsHAvJzGuSx7irjxllccIy5TJTqx7HkHYtFFfcV13ca2y7WWwapn6fjiuxaNk6W+7LaWTCemIoakzMnThem81MF3T/MKppHm3NEQYfYpkyGGKW+mMbp+VppbCOz37PTO6YQyLYL5GZ1xwO3jINyWxM3d31Qii2xcseXsl81D2f+cNcDH2B8kX7l2Cq4kMOdBEiwW6BCwOYD23QX1EkMQj1n0vDaDOW9dqYJo3TlTCI1oFi58FS3jf3n73Okg4k6/lzu1OHi8naH8XA4hkfH51/b9esMegXbUhZxnUnfoR37aaXhJRrJJF4a+AQg2gYWWiwZg/C7wRoMHd5qI5vkpkG5l6/UCbq4A7NKedsLGEXJkTfpvphdITjeT2+F34oMOse/92iy315Px8Pcl1PZSPbAe7yokE8sk62hrsN7KrWcvR/bscR0P2YdAA131stxn8qwz76coWSxLyy3Ty0HOz1+IZadOJeAwjbIzZz3wb6T/K66fmM8aya6UDEfn3KFQwx1jnu5BI5sm8B7eCqkGgtRvMdzV26bYjgar04dY+HC+Apx6fXNSKlQrlN+uW9GQuN5oFNuUrvwu/b++FZfH9TWMPKFM0YFfybrgNg2ze9BeV+/4fQVxt/QbKLTNMemc6avX4tfiJFgr8Wr/Uybt1YS07Xje5ncmI32y7Er2WvFQS3m6udy1tI+mqe75zHf34NENx7Foc93k2bj3qR7VL+6Fqvolwrn8yICJNgVXCFQh0RvTBSmSVudQC9WeZkezwyTwnTOWzyq6Xo7U/BPL1nJJxvJsu04UE9t2+/yWYLw9j4lDXESEOSGgXuQcno9HsbHZMz+w+F0HGaMuT6jXR9h8Z60czy9Wjth4BntCPzENhyILU/3bVE22XBQopjINvuDXyU/+HyeSPbzTXU5M+rSO627jFGYwIINihfjMb6wLvh85tu03UIs2WItDqVzNSXesewx7nK5syPyRwebi2O7scCd9ElZ1+J+qjXtfaQvFHhnfXdqbdhTzLr8pI9iIKnrfpz38cGfGhvkqxBbU9/JxzGv74wXZ9ox4ujQ8GFfbLgGc3DTBBTD8ZyWx3M+7tm89Tq70DyZudJY2Oqb6i9u35y0sb2++L1Vv3CYz2xYMk46Ossv4rNwPMl9rXio6K1xMmprZlK3D+Z+Sz+5fszmzCX81MJ8PfNyqK2VrhXfy+VK++qac/U4qMRcdAE8zEOKx/iibogTxVZkyfkmQ6hva8g44Q5FL4nHjzAeG+5fi1X0CzawcykBEuxLyVHvLgS0iE8nxrsos6TRYQLJE44lIigLAQhAAAIQgAAEIAABCGybAAn2tv2DdjMC49W2w+6y6/PjSNFV0plZfIAABCAAAQhAAAIQgAAEHoIACfZDuPE5jLC71+FR7o2bbI+wBV25e71xb6EeBCAAAQhAAAIQgAAE1iFAgr0OR6RAYEZg/I7Y4XQ8HsaXte3wrvvMID5AAAIQgAAEIAABCEAAAk0CJNhNRBSAwHIC00tYDqfj/HXry4VRAwIQgAAEIAABCEAAAhDYBQES7F24CSUhAAEIQAACEIAABCAAAQhAYOsESLC37iH0gwAEIAABCEAAAhCAAAQgAIFdECDB3oWbUBICEIAABCAAAQhAAAIQgAAEtk6ABHvrHkI/CEAAAhCAAAQgAAEIQAACENgFARLsXbgJJSEAAQhAAAIQgAAEIAABCEBg6wRIsLfuIfSDAAQgAAEIQAACEIAABCAAgV0QIMHehZtQEgIQgAAEIAABCEAAAhCAAAS2ToAEe+se6tBv+s3ll9PL4fX03lGHIhsj8HY8vby8nP8Pp3v8dPat4+j99Xg6BJtfTod7GL1iGNya34qqry7q/fUQxfPx9LZ6C0sEvp2ODxRnSyx/+rIbGFef3gcAgMBHCNCHP0KPunckQIJ9R/irNq1BaIMJthbbe0+gVvWXK0yJwH0S7EGlG8XRkIwejqe34WrQ++n1sP8E+5b8vPDZXD97fz1fQLl3gj3S0gUQxiEvevZ27P30/nY8HQ7xhRy7QHk4HQ7H0+s4sJyNumxc3Vx/2puLNqgvPt2gU7pUuqwPd4mm0FUI0NdOJxLsq4TWHYRqMUuCfQf4azU5Jpq2SLzbzdxbxNE5iX/IROcW/Arhtr0JTYuibSTY2+NTcCSH6wTe307Hw5hMH9/epye2wvGX08sxfmbisnGVeKm7YY9n8ekevWY6X9aH92rtI+hNXyPBfoQ4Hm24+8L+jknhjrw4DjolVhuYRG4QR7qTOFsD78iHVVVvwK/a/qZOkmBvyh0PoYxi6uXkjh/qf7OTGxhXN86+Pi9tXPkHU++avrim7I+6oa4bffijfHvr1/3QK4VyRoA72I8SB1pY3OEO9pgwlZLGRwG8jh11VhuYRG4QRyTY68TS9qUoGeIO9vZ9tQ8Nx8Vfeod6rvswvpBgz6E0PtXnpUZlTq9K4Jq+uKbsj0Ko67aBtdFHDdxJ/bofdmLERtQkwd6IIz6sxg0SI1dHeyxveIEQCbbLJz7YZLWBSeTqcSQbC3egYl573L86vz1Bw9QCaQAAE31JREFU0dhAgr0nr21XV8XT0rFDYw5zlOvb5rzk1uLgNQhc0xfXlP1RFk3d6MMfRdxVv+mHLikUOhMgwS6FghbKUfL4/vZ6/u7X+Lbnw+H1/JImCZkWAPZGaH3HdPa25NmVdftqydvp9Th/UUv+khbJH7ejHnGdw+lwPIwvFIrvYDs2SFK4E2D2xXVUwLbv76c3yQ1v4T2/ROb9NJyb3nytN2Cft4NMDYrnY8H25PggO1qE60Vboc3o3KCXw+z4Nn0XL7Yh7Du+SdmHl26ZWxJf1+Sncsz3SXnjWGc1GDa87Evfwf6wDtnLfgKMYac7jubV8k+e/V7b73OmE4/Ev3ELTgxnXJ68H07fT0v7mfVhvWhsPDd0QZtEo5dDHY6lXx7w+v+5DfXN0tgx+FB9bvTv+FKqqX6t3Tw28z51Okn+KLM13mrMU7k4zIZ9L45n/XjpuEVClzH+yIEwL1TGC1e+/Db6Ixs/Zj42ASp/jtUwb320P1n9BXNX0k+H8fJgc70z1y2RGzHqm5fOFbw2vHE+ku/uenIym5y+ndZbNF9XfBqU7B3vHN2G0Ih+FSOOmZO9kM/mvvkaIPXjh32RMQyGdazVprJujK7lZ0dOn93yX28fbtiTsVrq00h+vNtYM8dFuznP5vD5nKI5bRwbonl8Vud8QTIZT9L5t+2HXkbylTN+xgDS/uysm0PxRPfqWBgq3X+HBLvqAwXK4XS0RPN1mtimwM4n+/ERizHBzoI2HnjtLai2UI0ThCGQ5gvGWMXQbrywtTrFBa/OzTvmIFMLlliWGlMHjSYxGxDUzmTGxKj0Yq6g81Tp3Py5A1bbjwYNqyVm0QBpC/dsgJEdyTb45ng8xQNM0NEmgOPhZC/PGf9k33TBZCZykT6S5fhiEDqdtwsmxxBvOt7Q4apxNLN6+iD7u9uebEnCYZKZ7akO/XBA4/ZDy6XPC7gMrPhZkmpxr3HMFpSlSVB1DtEbmd9Pb2rD67OZ3zRejBcA4z5VlPOmCwJ6w/w5KRleauU/GiwbLHGujbfi4ybYiuPAxnIhf1xRe/6FSdmczwsZHg4sIiD/vbwsZTvF8pJxNbS3Sn9aOHcp9qKLX5akab2g2WkAuCB2feATn9IcHubd7nHebynI6ehnJkF9bRy3prVA8M3C+TrUK/q0f7wLutXGHfnMYlZOs8SiOJ4t8EUnw8kTC2Sv5eduOS3dpvNL+vDF8Vbz6QR0vte9Zo7Ggm4+mlectaPGimxOFrML533F69zKqU82GJX7WmR/TwzLvp6xMNH13h9JsKseiAI0m3nK5xRYs8WsFsVhYFeHcRYL6qjp26TDcaeOgrDYyZyOKXlL6pzbCWaEq/2OfLGVblOl8Yza9xZM53PzKmVm8WSnZr2tfJMvjiXbSWKlf8ZJdXJ/+PooZkqsdH4dHaa7l0l7Ne5FWz2aZfuLbYd4WfKYZ4VLJC9NnOTr5+iH46Q1XGiad5rBcYrH+duV4ztySQwrDjJZ8kUSU154RHeYMzGR32bnzu3Ojpls6ZP1wenCQt3PUblsLC/HsbjNYqvWf87nZuVdNhxcSkD9OR+7W5IUs0vG1SjmsmCcEr/u/hT6QtLPhmbyC+qKu7TpgcGsDyyMXReV+JT6dLmN8jjvNVSWI3vTflP2uWSt5FONLynwME7lbKRbddxZPJ5d7osSw8kTl8tey89lOS3ddH6JvxUjfX3OOHX5dAIa7Um/PE40d02hVdbrIj6aj2bjwqiaYqJ/nKrYcba2m1GxT5Xtl77xOKBjE79RkUEPx+bIKXffJcGuukDB5icDCrQ0eMPxivNDmTRqzvooqOJAq9YpdjLZ4HT8Uh11jIr+E7aKfBWSvMxW1c35Dvan7Rfl1BdDUsO2YhhzHc9Llws4ZXaV9Km0MShROV/wlexJY1A2rxdHkjhtL2k7fvzSwzZJj/fEJY8TK1XSIxxP4ygSHcoUlFmPn2y4IL4q+kemTEmoY4vsyE/5k5245P1kSi5yWTNtrBOcn3jJFzg1v6VShs+Kf+dinHRtJV4ql9m0eFyRL/N4HNvw7XXt4mA3Afmv5edcoPy1oO+ZkEpcLO1PNVneOcm3cb1wI2k0s6KjJzdnY0cqfCrjq2RJ16xfqYC2F+gqn+eyKzprrPDGzYIO5XbK453qLI/HAer4NEI2nlXsMo4F/QfEtXNDgbrsYE9hYO/182Vy6rpVY7Tk7xqPwrmguxc7imNvK3kd9UIbizhX+JTsH8JlvHiXN1WamyvtnO0O+rdsFZO08dJxk++cU9w1x0LPL3c+RoJddYCCLV9IDdUUDEmgKQDzSWFqTEFTKiMZceJUrVPsZLKhf3HhtT1pnu5V5KuoOKUdrTh5j50/ZVO1X20kvpAK2sq2VPYlA/hyfVqsKucL/q3qUOBbrVNoR/zibVVOoe2Jc6FPxQ2EfXEp1Cn4vuzrIHj2uNN0dNqTjO33Q39ykiXyVd4F/YnWs3uUJV8444kaC1tftk6HNhp9dixfliU5eZ9WS+O2VE5s3PqF2PIWArqg4MqZq8KnCwjIfx95RDx7eKE23sn3eacJ40Z+yo/TxTEmvYavfsVfF5qDWyx3Xv38qd6nq20Ux/m8oaocsU7GAvk871MVncUukTVopHYSx6mdeJwfLSi3ozq5brnt+RE/Tqb50R9fL2E4tV22xcpUZa/l56Kcum5VLgV/V+1RHCQxcqlPVS+Pn4m+9qp6XcKnYH/s0yTczduFi98tP0w3NJpxL8ZJ41X7VSf2i+xrjIXiu6UtCXbVGwq2LSzsG7ooCOPAHGxTPWfALtSpdoCMV0W+yqrTJB1tPJ139HGwyu8CSa/hMVh95zzb5vWkhm01EOaDQ8WOBqd+fSptDEpWzjd0yO0ZrZa908CvNgoxXWgnZqh9+aO/bavZaF/CZ9tGHcVXEvuyvaSfNbHchoYuRX6qd61+uG6CPU3AFie6hzZ9B9u+x93+y/v2rE7Bb1bmfXgByvF0sJc6zfp43r97/DzIPH9/PI0HxUB/PzZpuW2jHrl+M5v5cDkBxUt2168lcnnfGySqPSfWFTP5qTwuTJbKL4qx7CVAlmirL442XyQ3w1XhE+me9huJUf+b5hidmW8v0VWy87YrOhfH4NoYKb/1j3dl3eZ226f+8axiV+SLRXEU1OmTnbMeBcjeXj8vk1PXbVo3LJ8/l7CSjSXdA8pkR7HdU69VVjrMOVf4VOJdbfWOU1XOZ5ulX9PWwvgpnZb4JX8hXD4WJi7ZxEcS7KobFNSFZEQBdOOFvRvYxU4mG5YPTG47Ga+KfJUVp7yXDyXU4cbTozyv7Xk5CV+2LQ8OFTsKbJfrU2ljMKNyvqGDx8tEyt5psFYbzneZxgr+i3QczLK/v+2hgfCCl0I4OC1NOrt1FF9P3Q9ri8dpgZ/z08LSSQwVc3GCe4hfAOi4anaoItuNTTtobzi3x9rOd+1CPlGWpRgvxaFUKpVTHOdsVNPfzuuNMdrSwZfE0S4CIR6duawqQOOHU08yk7FjEKdxxQmMue/jxv04LZeP6xb2kzcTxzH2IbmhuQqfKKmL2w1VS/04LnDev0TXUp+tJgIX+nT6/uv5xY827lXGu7JukfGLx7M+XzghGTVa2u2TvZafl8mp63aJv9eNtxLT8bjaKtkc126VVVxNazarXeFTiXe1lceLP05V2zkbIf2athbGz7JOMaXCfmUsLNS462ES7Cp+BbWfYCvQ5h1hSmpqAViqK3UUhLEM75jKh8khWyjIhv7FRUu30OawU5GvgoWOptPx45bjm3udxX40kcdMgozOHdmWy6jYURjAyrJKylTaGKpUzjd0SGNQGngx4x1T+XIchRJhR/YvaXsawP0+FYTPdsTFr1PSQ8dzX0/CVWaJDZfxkw3X6odrJ9jjT3klN8wmcF17pUl8rJxzrDBy7hhLBfmw5mcrWypXOi75xW3cJ4cxzvFtsTInlhNQfBQuDp4FDnE1W1GqnuOf2IepQpV5S7E7a2ao78f8xTEW6yR9ojl+Fbm1xXvUb5aMkbHa2r9E13KdtX26fLwr6xYsnv3spo6OWz9OpvnRidXIF62xbt6WPlWYRbLX8vMyOXXdqlwKfbjtH3GZtpfUsdqqV7J5aqFdVmPL3McVPgX7rU3J6h2nqpzPRsjWuX6xhed9jVdJ4931HZHhkGRHY2E4t6EdEuyqMxTU3oQ+nUviJ3S2agCqU6RvCh/0KQy+laBS0OYv3GjrmdUJuvmJ7hxZWX4oJ71TUFOB8/dB7De2PdbngtLrA51KnHLfyA5nYiu1Wzoe7Ep31IafKFYHt1JbOn71OEptGWaV8+O7DrNiQtRi4LQTFoBebJTllX0dtXEzfm09P9YP102wR3b2kzURq8W7Gse8+BCP+JzKO+OOxhDn8eAuP0eLoKzvKwYWjyuy4XzHKxnftLjpWXQtRvusFUIcxHETwZAvZ76Qn5w6Ku/5Xm3NZI1tybf5qUIM19qJ1D9LH+bDTLYnwzuWyWsdEJ/CvKQ2lswxXpOS47H2ytf6bJgT1vHpJeNde9wpxILZqtjKxrNOXyxgOKHtlL2WnxfJaeh2ib9XjbeJoruntjJ/OqVDWSd2L1g3KQ6z9cOHEuzCWFDtk4mtivF0IJP9XTE89qFUxJIbQYlWN/1Igl3FPXV6e2Tx1fkuord40uTrnYubmzqG/xuJWVCFQcYSjentonbXd/ipiOFRznxxOrWj35G071L21wlmW+d6ez0dD/OBIZM//M7jpEd2PoZw3g9lGgNUKJe8XXX8jpP9Vnl4ptRpZbqil/tGk6EzsGigcHRbqk8or8FlxuqDOiS/Wa7f2lwrjjygkz2XxHDdV1N79EObPBf3wwBw4pf1D012yWIo+DV+PDzet9+fbbpviueXODZP0+9vz/Xx9RzGt8MxPDqetts73tbKBXsXjiuhXsLP0NfaC65hZzGBGfN5pzhfqE1/L32Kw2ws7BnbNVYHTf04HU4X+pOdC3o3Y0z6RmOq9ZnCOwT65QYDsp0gQ7bO5qVI97gfD2VKbynOmhgOhHaaDMb65T4kRhfO17LzrGbQKx7j4n1nvCvrJtv9OGmNZ0EX6VjyRSdDaWPbbtlr+XmBnLpuH/R3J6u2T2Oa8/1Y//mwVFszR3280Z9i+ePU21rH+/E3aN0zThXir5dRru/EK5xr+kV+jzhVxsKphW3skWBX/RAF6NFeuNP6bs5UfvoC/5Roek0pYZ3Kv5wO8aCUVXo/vR4Pp1DeBn7rzaHDeBOeLWiX1rFkOrH55XCylxu9ZwvrufxDlAyEzhgmqwIP6Z+tgDIAvl4Ds0yxqLLjmzCAvCYvUprulIaBIOg/v7hgDbicivoUWMn+0M6kw3S1W/Hn6TAO4iEuXq4RRxHOaLc/hjVYyo50IRwJne1OvhsuJNEPs35Y7mcV5iG5mPwxdb+JeRxT8/08DmduO1+NP76+DWPW7GVlxe82puObvvM912fUc35s1M0bX5xy6vuRwsv6sSqe+U7gdIIEO5BYf8cuqNqF3nk82phnc9R5TrRmLxxX1+9PI4O+GLM5YnzB38y+Yp9ZOgd5/ijMS1HR/nE+quTs9jLQBeLAQH224tPafF32qSnpjBHRXDzqoPHOK+uNO2e5s7VXbTwTrB5fOGuz4ppDckd94rVgvFZTqfX8vHxN4upW8Xff2qiH1RKfilS+dWPbXTNPN6tCfHes2WI+dtG6vPa/dN6vxUg/o3pfG7m5rLIYXj4W5l653xES7Cr7KaCc9VO1JichAIG1CNAP1yLZK2dcqGpBmdSy5Oa8+Hz6cXFY/BU4Jdj4CAEIbJMA4902/YJWENgzARLsqvdY2FfxcBICNyFAP7wJZjWiOwaV7Fl3iipFJO2ht8OVet1Ze2hLMQ4CD0qA8e5BHYtZELgvARLsKn8W9lU8nITATQjQD2+CWY10LDjHR8Ce786t2R2+N87da0UMWwjslwDj3X59h+YQ2DABEuyqc6ZHIcOiqlqekxCAwPoE6IfrM61JnC5oxC9THGtM3w98xjFRFxaOx8P43oZnv4VfCyPOQWAXBBjvduEmlITAzgiQYJccpqua8YsuWEyVaHEcAtchQD+8Dtem1PMbSrMXSdlLpOZvNG+KeqACY4JtL4U7nI7p68wfyE5MgcBzEWC8ey5/Yy0Erk+ABPv6jGkBAhCAAAQgAAEIQAACEIAABJ6AAAn2EzgZEyEAAQhAAAIQgAAEIAABCEDg+gRIsK/PmBYgAAEIQAACEIAABCAAAQhA4AkIkGA/gZMxEQIQgAAEIAABCEAAAhCAAASuT4AE+/qMaQECEIAABCAAAQhAAAIQgAAEnoAACfYTOBkTIQABCEAAAhCAAAQgAAEIQOD6BEiwr8+YFiAAAQhAAAIQgAAEIAABCEDgCQiQYD+BkzERAhCAAAQgAAEIQAACEIAABK5PgAT7+oxpAQIQgAAEIAABCEAAAhCAAASegAAJ9hM4GRMhAAEIQAACEIAABCAAAQhA4PoESLCvz5gWIAABCEAAAhCAAAQgAAEIQOAJCJBgP4GTMRECEIAABCAAAQhAAAIQgAAErk+ABPv6jGkBAhCAAAQgAAEIQAACEIAABJ6AAAn2EzgZEyEAAQhAAAIQgAAEIAABCEDg+gRIsK/PmBYgAAEIQAACEIAABCAAAQhA4AkI/H/j0nx/HGm12wAAAABJRU5ErkJggg==

    The graph on the left shows a technology change that just impacts one good that a country produces, and the graph on the right shows what happens when the quantity of resources changes (i.e. number of workers decrease).

Key Terms to Review (10)

Constant Opportunity Cost

: Constant opportunity cost refers to a situation where the opportunity cost remains unchanged as more units of a particular good are produced. This implies that resources are equally efficient in producing different goods.

Economic Contraction

: Economic contraction refers to a period when there is a decline in an economy's production capacity, resulting in a decrease in real GDP. It is often associated with a slowdown or recession.

Economic Growth

: Economic growth refers to an increase in an economy's production capacity over time, resulting in higher levels of real GDP (gross domestic product). It is typically measured by the annual percentage change in real GDP.

Increasing Opportunity Cost

: Increasing opportunity cost refers to the concept that as more of a particular good is produced, the opportunity cost of producing additional units of that good increases. This occurs because resources are not equally suited for producing all goods.

Opportunity cost

: Opportunity cost refers to the value of the next best alternative that must be forgone when making a choice between two or more options. It represents what you give up in order to choose something else.

Per-Unit Opportunity Cost

: Per-Unit Opportunity Cost refers to the cost of choosing one alternative over another, measured in terms of the next best alternative forgone per unit. It represents the trade-off between two options.

Production Possibilities Curve (PPC)

: The Production Possibilities Curve (PPC), also known as the Production Possibility Frontier (PPF), is a graphical representation showing all possible combinations of two goods or services that can be produced using limited resources efficiently. It illustrates trade-offs and opportunity costs in an economy.

Productive Efficiency

: Productive efficiency refers to the state in which an economy is producing goods and services at the lowest possible cost, given existing technology and resources. It means that resources are allocated in a way that maximizes output while minimizing waste.

Scarcity

: Scarcity refers to the limited availability of resources in relation to unlimited wants and needs. It means that there are not enough resources to satisfy all human desires.

Shifters of the Production Possibilities Curve

: Shifters of the production possibilities curve are factors that can cause an outward or inward shift in the PPC. These factors include changes in resource availability, technology, population size, and trade.


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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.