High Current PCB Design and Its Applications

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Introduction to High Current PCB Design

High current PCB design involves the creation of printed circuit boards that can handle large amounts of electrical current. These PCBs are essential in various applications, such as power electronics, automotive systems, and industrial equipment. Designing a high current PCB requires careful consideration of factors like trace width, copper thickness, thermal management, and component selection.

In this article, we will explore the key aspects of high current PCB design and discuss its applications in different industries.

Understanding the Basics of High Current PCB Design

Current Carrying Capacity

One of the primary considerations in high current PCB design is the current carrying capacity of the traces. The amount of current a trace can handle depends on factors such as the trace width, copper thickness, and the temperature rise caused by the current flow.

The following table shows the relationship between trace width, copper thickness, and current carrying capacity:

Trace Width (mm) Copper Thickness (oz) Current Carrying Capacity (A)
1.0 1 2.5
1.5 1 3.7
2.0 1 4.9
2.5 1 6.1
3.0 1 7.3

As the trace width and copper thickness increase, the current carrying capacity also increases. It is essential to choose the appropriate trace width and copper thickness based on the expected current flow in the circuit.

Thermal Management

High current PCBs generate significant amounts of heat due to the large currents flowing through the traces. Proper thermal management is crucial to prevent overheating and ensure the reliability of the circuit.

Some common thermal management techniques used in high current PCB design include:

  1. Using thicker copper layers to improve Heat Dissipation
  2. Incorporating Thermal Vias to transfer heat from the components to the other side of the PCB
  3. Using heat sinks and cooling fans to remove heat from the PCB
  4. Selecting components with appropriate power ratings and thermal characteristics

Component Selection

Choosing the right components is another critical aspect of high current PCB design. The components must be able to handle the expected current and voltage levels without failing or causing performance issues.

When selecting components for a high current PCB, consider the following factors:

  1. Current rating: Ensure that the components can handle the maximum expected current.
  2. Voltage rating: Choose components with voltage ratings higher than the maximum expected voltage in the circuit.
  3. Power dissipation: Select components with appropriate power dissipation capabilities to prevent overheating.
  4. Package size: Use components with larger package sizes to improve heat dissipation and current handling capacity.

Applications of High Current PCB Design

Power Electronics

High current PCBs are widely used in power electronic applications, such as switched-mode power supplies, inverters, and motor drives. These applications require efficient handling of large currents and voltages while minimizing power losses and ensuring reliable operation.

Some key considerations for high current PCB design in power electronics include:

  1. Using wide traces and thick copper layers to handle high currents
  2. Incorporating large copper pours for improved heat dissipation
  3. Using surface mount components to reduce parasitic inductance and improve performance
  4. Implementing proper grounding and shielding techniques to minimize electromagnetic interference (EMI)

Automotive Systems

High current PCBs are essential in various automotive systems, such as battery management systems, power distribution units, and electric vehicle charging systems. These applications demand reliable and robust PCB designs that can withstand harsh environmental conditions and high current loads.

Some important factors to consider when designing high current PCBs for automotive systems include:

  1. Selecting automotive-grade components that can operate in a wide temperature range
  2. Using Conformal Coating to protect the PCB from moisture, dust, and other contaminants
  3. Implementing redundancy and fail-safe mechanisms to ensure the safety and reliability of the system
  4. Adhering to relevant automotive industry standards and regulations

Industrial Equipment

High current PCBs are used in various industrial equipment, such as welding machines, CNC machines, and robotic systems. These applications require PCBs that can handle high currents and withstand the rugged environment of industrial settings.

Some key considerations for high current PCB design in industrial equipment include:

  1. Using heavy copper layers and wide traces to handle high currents
  2. Incorporating robust connectors and terminals for reliable power connections
  3. Implementing proper shielding and grounding techniques to minimize electromagnetic interference (EMI)
  4. Designing the PCB for easy maintenance and repairs to minimize downtime

Best Practices for High Current PCB Design

To ensure the success of a high current PCB design, follow these best practices:

  1. Use a four-layer PCB or more to improve heat dissipation and reduce EMI
  2. Keep high current traces as short and wide as possible to minimize voltage drops and power losses
  3. Use a star ground topology to minimize ground loops and improve signal integrity
  4. Place high current components close to the power input to minimize trace length and voltage drops
  5. Use thermal relief pads for components to prevent thermal stress and improve reliability
  6. Perform thorough simulations and testing to validate the PCB design before manufacturing
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5jjJKQENnBIHPesK8eaNmQ/iKC9B/u0vr9BXQC102S3MlpYF7S5XW5TdS+aZLP7MGa3jLhtg6DIPXdirh0bS41sL393LFql1pcUNruOLdbqWOXGQc8qHHNYcrCxyn/wAUKVVduFVmIzkKpP8AKungtLGTUNTjltLKGNJ7C3thc2d5DG6ySShgkRk372xtVt2MgetU9LUM+owRTXVnFNqemQEiR47hITPMPKZ0wdx4U+9TO0E5PZX/AAGld2G2tzaw2EcchuvtCWmrWv2VbacpL9tZArvJwmFwWx1yBTNRmhax021WV7h7OWdUmNpLbIts4UrGwk6uTkk/qa2/FUZ0+ysrqzub+GUTJCQLu5KyIVYncGc88dafo2lWWr6Nbz6jJf3EkzOzl7y5KKwkZAVTdt47cV5zzWj9XVdp2bt57X7m31eXO6fU5bTporbUNNuZSRFb3tvNIVXLBEcMSAK3YtasGvLeZbj7HaDT722mtlgll/eTtLna/wAzEMSr9Rjp25wtHs7a/wBWs7G4n3W7TTBlUsrzCNWIUMvPOBWzr2n6foL6XPp8Cqbn7VDLHdqLmMhArhlWfI3ds11SxcKdeOHe718jOMJODn0RUW7sv7KaznnimMFtPDZxraOkqTNcCRZftBP3cZOOOuMcZrDi/wCWvT/WV28Hh/Rn0IXBWSS4k09r03KO6nzfLL/JzgKOmMdq4i2yyknOWZT+JFLD4uGJ51FfC7CqU3Bq/UuW8RkeGNdu+aVIkzwMuwQZNaL6LqDSpFC9rPG0V1IZ4ZCYR9mO2RWZlByDgYx3H4UI5vImtpAC3kzRS7emfLYPtz74rS/tuOe7sby/tpp5bWGeNfKnEauHZipZShHAYg4xng9ud4JPVi8jOjs3ltLi6Se0Jghed7fzD9p8mMgNJsxjAyP4qntdA169s1v4EtBBIryRrJIVkdVzyBtI5wcZNMGoaaum6jZxW1xDLJIxaT7TGTNEpzFFKDGCVHcAjJ5PTjRs/Ft7b6fFZ/2esjRw+THIJCilQu1SyBT0HXmsMU66ivq6u763/wCDYqmoN++9DNtNPk1OWCDSp4ppPs5uLk3ET26QcqNuSWJ5PYVDfWt5plybW9EQk8pJVMLb1KPkA5wD2Parmkala6JdxTW8V1N51m0N0s5iTDghwYSmeMjnNQ6rqt1rNylyY1gSOFYY0B3nAYsSWIB71V631i1l7O2/9O/4C9zkvf3iGwtLzVLk2tl5PmCFpj55KLtQqDyAfUVestC1W8udUtQbRZdOkWKYs7bGkYFlVCF6e+Km07UYtDk0y6aGaUXemzi6WHblpRdsqMC/AwFwcVa0vxHa2t/4hvJLa72ajcRXEKr5RYGNCux8kDJz1rDESxMZSVKOllb1vr+BdONNpcz1MaDS9VuNOuNUj+yC1t/tPmB3IkHkffwu0/hzVCeGa0maGYJuMcMrKpyuyaNZV59cEVuWPiBLHRL3TDbXRuJvt5SVREYlNxnG4Nzx34qtrCzG+OHwPsem8bf+nOHPauqhKreftFZX09DKpGNlyss2ei+JGsoL2wubdbYq17CvnvHIrhGQnbtxuxkde9Ns0vtaFtp9rfvNBHAs06XaGGC2UFVARQzFuvGAOlWLTxTqNrYJYmyjlMcLwJKXKfKQQpZVXHGfXmquk6hDo06T2sU8gktxBdJcvHnIKsDC0a8dD1zXNzYrkqcyV/s7d/Xt3sa2p3jbbqRalaX1ldfZ7x0d0hhEUiszo0ABRApYAjGMY7VT49V/KtDVNSn1W7+0yKY0WNYoo1O7aoJYkkgcnPPHaqPP+1+Vb0XNwTqfF1M525ny7Dcr6r+Ro49V/I08M4WRecN6j/P4UnPq35Vor9RDePVfyqu2MT8r98dq1bOK3db+W4WZ0trZZQkTrEWZpo4uWKt/eJ6VA02i/v8ANjefeXP+np/8j1rAlkIxgfd6DtUMgG9/u/6o9q0xPo+B/oV50H/L8n/xinQjR7i6tIfsd4BcTQ2zML5DtEjhN2PI7Z9aUdwZjqsbPCJGOPK4xnqMkDOD/KpIWXD4YFQ5CFhyVHrV0yaMGwLG9OwsiN9uQZwSMN/o9bsN9D9o0S1FtKqahFbEsRp5aDzZHiAx9k5xtz171XLfqJHNceq/lRx/s/lWhquDebgEBe0sZG8pFRS7wIzHaoABPfis0mZpPLjxkAEl8AZJAA5/Ks3puV5E9sboXNqbNWa6EqvbrChZ/MT5wQPbHNa5mvLK/LXWm6PZu1tMIxdIYbeRX+WRo3RzljuIPPAPGMVn6NqP9nahb3U8EjRIsqSeWqtIu9SuUDEDP4+tX9d1Gx1+WxWOWW0itYbktLewsQzyFMIq2+49uprn56qrxgo+51f9P9DRKPI5X1IJJ9YfSDF/YMSaeDJeJcRwyqUDNu80Hfg4HAJU8fnWCWVvtDAgAoO1dlL4n0oaFJYxi7ef7AunqDEqqX8ny95fdjb+vtXGLkJNjJOzpjrV4apVqczqxtZ6E1VFW5Xc6eGYiKEQeG44m/s26Se4eG5UrJ9nlzOkkrbAMYPIPfB5FZ2l3d7YPqMcCPcT3NisUTwQecsZFwjMZEZTlTtI6dx61rPBe/6176dtLg0mWG0vGngZHDWxIiK5ycszIF25H/AazdCgEd3cmO6uFEVk7qlvJBDNMZJFgaJWnJTGCWIIPA7HkdF/eS9RWINUiuP9HuptPhshcRXMf7pJIvOeIrucwOflxkdAAfwrZt7tp4Fih0O+hneG8e4jWKOPTLtmtBHvmaSMMFULuUA9T15rK1mFrRobFbq6uobZbxoppzCVkMjLkxBGZ8cDJZuewA66Ah1COS3uv7RuTpVppjx21800DIC9qzeWYycn52KBCpIH0zWq0IMPS3NleWFx5b3LNHMBHbpuuELxFRLErKyllzuXgjI9q19cuXvLIXT6fdwR/bowpvkijMb/AGcr5NuqIp2Nje5Pf9crRIS9/ayedLA0SzXEbRSJFK7wxtIIo5JPlBYjaM8c/gdDX45LeEILq7njvLqO/cSvavFBI8LHyQYmLF13MGICrx0z0Ub2s2HTQs2mpapNL4fhttLnW2jSxhuJI7QK16qoUMckzLs8ok5BJ4yT9OTPDMMAYZhgcgYPQGuos7fUX/4Rx4764Ok20SXE9yLiBEsJnJeWPDnOEKrhSDnt96uYPU8k5Y84xn3wasljeKfHjEvT/Vmm/wD16cnSX/rmamWxKLEf3E/Co2/1o/65v/I1JH9xPwqNv9aP9x/5GsVuzTohYf8AVp9G/nTz36dBTYf9Wv0b+dO9foKmW7Gtgzz+IpPTkd6cMBssu4Z6H1600dB+NRfWxQhzgdDwODTJzlZiAADtwOB6enFSdv8AgNRzf6uT6LTS95MTelj2fw9/yAtB/wCwda/+gCtmsbw7/wAgLQf+wdaf+gCtmvRLWxl67/yCNb/7B15/6JavE7YOYwFIAAYtkkZGfQV7Zrv/ACCNb/7B15/6JavDovN2JtCkZbGetYV03HR2IbtJXLKu+wqHYI4y6hmCsR03L0pdz/3mwNpA3HgjoR9O1QD7Rjon3T3pcz88R9B3/wDr1hy+YrlhpJXOXkkc5HLuzHjkck1Pb3ZgS4jeCG4juGid1nMwIeFmZWVonVs8nvVHNx6J94d6dG7NkMBlSRx0otbULmjPqv2iSBbiwtZhHHiPzptQfYBkfKGuMUyS63QmGCBbRSwY/ZLi9XOeo2vMyYPf5aoH/XJ/1zP9am9enapcUkkloO73EVQpQoWRkbKNGxVlI7hl5qxBd39vKJ47q583y3iDySGUhGIJUebkDOKg/LrQMcdO9HW4EomuRA1sJ5xbt8zQiWQRkn/ZBx+FQQfL5hA6PxT/AMugqOLpL/10pqKSdhN6om/xPerFnaSXsxhSSGLbBNO8lw5SJI4l3szEAnp7VXPl/u9ox13ZJ649/wAatWF3b2U0kk8bSQy2l3aSJFII5Cs6GMlWZSMj6Uou5WxJ/Ylw8lzGzWYuYc7YGuB5twqxeeXhCjBXbyCSM0tjpst5Bd3Wy5W1tsbpYYVlyQNxAUyIeBgnGasLrunFdSd7OdLq7iS1imt51UwWkcSwpAu9CecfORgnpxTdL12S1tLvTzJaxQSeYUlmhuJHUyrsZVEJ7dRn1qayqqK9krvz7DjyX95kdrpdpqFz5Nlc3s0scbO6rZIAF/vFmnA74qtc2f2GRYN8jZgScmRPKdN5YFHTc2CCD/EauaXeWekXM1zb6jaytLD5BWezvsABlbI2Y54qpqtzFe3QmSVWjFtEkrqkkaNKGd2EayfNjnjNUvac7UkuXo+tyfd5brcuQWNxq7aPaWc0SOmmzyytKSVXbdyAKdoJBOQazblJbG7vLK4IeW2mMRaMnaxAB4zg/pVjR9YOk3clwIBLE8DQmFZPLySysrFsHpg/nUdzdG7u9TvREkYvJmlVC24oNm3G7Az/AJ9KyftlWd17llbbcr3HFWepZttE1W80y41SOaBIYlum8t/M8xhAMnbhcc9ualu4zfakIoXi3NZ6edzzRohxbQhlUuwUsOeM9qdY+IZ7XR5dN+yNLI6XaR3HnYCCbOPk29snvVDT4185PPms408t8m9hlngB7AxxfNn0p0fa801V2vp6f13CXLZcvzLesWNrpc0EEdzPPM0MU0yPAYjF5ihhzuI59O1ZfmDH+rkzn2/PPWtXUxYtHai3lsmuFeXzn0+C4gg8khAiss5JLA7ug6H8szy5OvmcZx3xn61vKMWRdrYTzR/ckpfNH9yT86Xy5P8AnoKQpKOQ4bH8JPBHpT90WpIuGGRkg+9GD6N/31UIIXLqF25+dc/dqRZInOFKE/Wk422GmXrQH7PrXDf8eUX8X/T3BSy3l/a6fpa21xPCGS8dxE+3c32uRcnHtRaAfZ9a+7/x5Rd/+nuCobwD7DpP3f8AV3nf/p8kqoA9iX+1NXC5N/dgYHJlqVL3xFIT5c2qMVUyHaJuFXkt92q1lGkl3pyM0ag3drlmJIGJVPI/Su61X+3ZJlWwuILaNAGLNH5zSvn7pycBR+dcFavVjUjSpRu352OinTUk5SdjzeWNoiC0cqrITlZFdN3fI3AVu2qSnUvB7rHNtW20/LhWKlTcS53EDFa/iZ55vD9nJdRxJcfa7cSqCSFcB1bYT2PX8a5vTLq9S+0uFLqdYvtFmoiSeUJtMq5GwNjHrxW2DxDr0+aSs72+4zq01TnZFV5J7i4lLnJSOOJQP7kKiNeF5zgCo2iJYsGdWGVJRuo6dRTo4p5pp/Jt5JvmJPkRySFBuIywQEirVxZzWq2pmTY1xG8ojkV0dFWRovmDAHnGRW0k73M90bvh/Tba6trSLZb5Au5pnktYJ5ZNtwIwpabOAB0x61F4lT+xnszBb6dIt0Lhts+n2p8sRlMAMoGevek0/Vo9GttNlktnnW4jv0AiZQV23IbJLVm+Itai1lrHyrWSH7MlwD5rKd/mFMY2+mK4f9peL0vyfK23+Z0fu/ZW+0dc+gWy20jbbXeqedu/s2xIwEzt2Y/rXnTSNM1xKY40aTB2QoI4lJIGFReAK7F/Gtm8MkY0+cF4TFnzYxgldua5C0FsJY/tIJtw8X2jaTuMQYb9uOc4zSy/6zaX1i/S17ef/AFiHTbXszr77wlbWunTXEN1Obi2ikmYz+SIpAoztIAyO+DmsjQdGg1m6uxcSypFZpE4SIJucuSMEuDjp6VIT4kCn+2E1U6KokM4bABjCny92DuxnbnJ+tU9POpFJTowvDqHmKbg2v3PsuzADBvlzuqKcavsJ3qpvvfRbdbDk4c69127Ddb0qLRb57aKSSSN7MXKtIEVhuLLtOzg9PStq48IWkGky3Yurk3EVu94fli8tiId+zb1x75rE1D7Tuh/tNbr+1Nsxuzd97b5PJCYO3+/nFaSp4llcpIuqjw/vZmWV1TOmqS20sxD/d96ur7VQp2qpPq7rX00FHk5pe7/AMAoaHo8Wt3LW8sssSRWjTkxBGYneFA+fjHNGvaCmizWqwzGWO4gaTMvlpIrI2CMJ26Yo0p75ftD6ZHcNqZ2fZ1thlUsxuEnmBvl67MZqDVf7QKQ/wBqreDVSzkG7xs+xbQEEYX5fvbs8VslV+tfxFy/y9fu/wCCZ+77L4de5vR+CoHsEuXvZ/Pa1S42okLRBzH5gAPUj8a4wZIB9a6YnxLtzapqw8P/ALsqv/ThwXAyfMxjOOa5x/KMkhi4iMrmIHORHuO0H8MU8Gql5+0qKXp038v6sKty6csbDAGYqqgsTkADrT1DKZ1ZSrKhBB4IPvTQWUqynDLkg05SWM7Mcs0ZJP5eld0r38jFWJ4/uJ+FRt/rR/uP/I1JEVAiLLuUYyOf1wR/Oo2/13HA2yYHtzisU/eaNHsh0X+rT6N/OtHTNOk1Sa6t4n2zJZzXEKnGJZUKhYsnpuzge+KzYf8AVp9G/nViG4nt/PML7DNCYHI67GKsQD1B4HND+LUI7GvLoQjnNv8AavnS5sIZWChkAns3u5GXb127SBzzWRP9i3qbN7hoSuf9KWNZVbuD5ZK+/wCPtzMNS1FdhWbayS2kisqruD20ZhjOcdgSD696huLlrpo3eOJHUFNsEUcMQUFjwkYA7/z/AAmTS2RW5B2/4DTJv9XJ9Fp//wATUc3+rk+i0R3Jex7R4d/5AWg/9g61/wDQBWzWN4d/5AWg/wDYOtf/AEAVs16BotjL13/kEa3/ANg69/8ARLV4jB/q4/q1e3a7/wAgjW/+wde/+iWrxG3/ANVH9WrCtsiJfEdb4SsbC7GpPdW0czRrGkfmrvVQwLHAPGa6o6RomG/4l1n9yP8A5YL/AIVz3gkExav16xdP91q68qcN9/7kfYV+f5jUqrE1Em7ev909fDxj7NXR55qz29hqmoW0Fjp7RLOrJ51vvZd8asQpLDj0rNj1AF5R/Z2kgBj0tOe/U7qveJB/xPNS6/6yHr/1yWsSL783+8f619lhm3Qi32R5VTSbt3Lx1Aeag/s7Sf8AVk/8enPfvvqX7evP/Ev0rt/y6f8A2VZh/wBcn/XI/wBam9evat30IR2Xhm20+/jv57ixsi63EUShYB5aqI93yqSRk966AaTovy/8S+y6P/y7p/hWJ4MBNpqH3v8Aj9ToP+mVdQAfl+/0fsK+Ox9SosTJJv7/AE8z16EY+zV0eY6xDDb6pqUMKKkSSgIiggKCqtgD8azIv+Wv/XStfXs/2zqvX/Wr1/65pWTAGfz9gZtjb32jdtUcFmx2r6rDNuhFvsvyPLqfG/Vkn+J7VXLbgHfpyEX1PvVn8+pqzokkcVyrNNHBM1tex2c8+BFDdOgCMxYEDuAexIPaumBmyiBMR99BkDjaP8KXbLkDzE3E8Dbycc8DFdXDLB9k1GK8vbeS5mmk+3XEV2EcwpZgQrEUX94N2VYDPP50vhK40yGS/FzJHFeP9nMbTNGu6IBsrGX9D157j0rnxNZ0KbqJX8jWFPmko3OV8u68lrgZaBWKtKsTGIN6FwNufxquZC+MsDgdgP6V0d6VfW5bqEs2hDUrNriSP/jxJHleYXVfkPPXitTxVc6FcWFusFxbyXC3CNGLXyWcLtYNuK8hen44rP624ypx5PjV/QPY3UnfY4uJQ7hevfAUknH0qU5kYpkBEbDcdxxiuk8KW8cGowTSOwN1ptxLbfdwFS4WF9+7oeOKzNWx/bWvYJwbx+mMfdHpWv1i9eVK2yuT7O0FLuygJrdcLvUYyAMVKCCAQRgr/drpdJFuPCOpuwTzAuq7SQm/pxgn5q56S2mtSkMpy4hhk+Q5G2aNZV5PsRmop1lUlONrcrt6lShypPuM455Hb+GgZxjIxnjg/XHp+lL/AN9dR2pef9rqa1aT3IvYT8R37Voadpc2oiV43wkB/frHGZJljEby70jHX7u0c9SKo8/7XStfRm0hBMb6RY5DLEqu6XBcW5R9/kNB0fO3BPpVx31BEVvDb6Xr2nmaQi2MSzyvcW5Ro45oTgTxHOCMjP1q54muNCuLayGnNZvNHcgu1pCoKRFSMOyDGCcYFVDGLzWBZWc8SwX0JtnliSZwItod/wDj4w5f5eSe5qTVdGl0O13R3bTR3k0UM6yQBGHlkyoUIY++a4qqpfWYOUmpdF0e5tHm9nKy0KVp/wAe+s8j/jzi/h/6e4KgvP8Ajx0rn/lnedv+nuSp7R0+z6z8x/48ov8A0rgqK6wbTR1y3zRXhU9s/a5OtehHQwexCjOjRSRsoeJ4pUJUkbo2DjOO3FdD/wAJjdZbfaWfTja0g+b34Nc0DK7RQLuWWSSOEE/dBdggPH1rr59KstO8u1tNDi1B0RWuLi/dVLseybgefoABxXnYqMHKKcHKWtrafqjoo8zT5XZGNqmuXWr28dtJHbRQrMJm8kOzMVBCjLdBzTrCPT4Lzw3BJZrJLdC1n+0tJOHR2ncDaiNtwMDtUmtabZw2tjq+nwzW0VzJ5Nzav0icg8gHpyCCOnQim6dqFyLnSIGitnWOe3hjeW1ieZEMvQSEbuMnFb4OVL2a9krLt59SKqlze/uZVlCJri4Qm/DEH5NOhEjt83VgXUAe+asaoiWclla/vd0UB89rkwtPvkkaQCUQu4GAQAC2cUthHe79R+yXE8d2kYNskTohuFMuHRg5wwA528/pUer/AGhpbWS62fbntgb6NEhRg6uyqX8n5dxUKfUV2box6HRaJptnqNvpzXaiSKCO8KKGdRva5zkhCMjArL8XaZp+nvpzWcfleet20gDSFcoY9u0MSB1NRadr82lw2KW8Qk2rcRzmfcAFeYSgIUPXGc5FO1i51fXFs5WtAkUcV7JbmIMQ0SbTKzuxx8uOenX358v2VdYtTv7nr5dr9/I6eeDpW6nRSeF/DiwSuLdgy25cfvbj7wTdnG6vPU+7IeM7VPI9wa6248V67DbpHPYQRSTwq6GTzQGgkUhXCE55+v4Vyu0orA7tz4AHoOuTRl9HEU+b27bva13fvfqxYidOVuQ6rUvFVve6TcWyWkqy3UTQOWKbI84BYEcnvjgVleHNZh0ie6MsLyx3UcaExbdyFGJzhuvX1rKDFBCwBOGkyD0IPFHJcybcM/KIMAD3OK2jgqUKcqKXuvz/AK7EOtJyU76o0Nc1RNYvpLmOJokS0FuqyEFjtLEsdvHetu78V2k2my2KWs5nmtPs2W8sIC0IQtnJOOvauUAGD1KkgHsZG9B7UHgsST1w7Dt/srRPB0ZqMWtI7asI1pptrqamgapDo91JPOjSRNatbsYwCwcMHG0NgH35pmv6tDrNxbXAgeGOC1MCLIVLyMzlix28YrL67WYHbyI0Hekfbn59zPjnaQAvtWiw1P23t/tf0iPaS5OTodYvjOBdPFsbKX7SLVbcMjRiHesflhh3x36VxgGAB1qQmLn5X7fxCjMP91+v94VdDDU8O26a3/r9RVKkqluZ7EXp+NPTpL/1yNDKMBlyVOfqp9DQnSX/AK5Gulu6MieP7ifhToIftN9Z2+7b9olSDdjO3zG2Zx7Zpsf3E/4DU9hj+19Iz0N5bDk4B/erxmsVuzToiwIPD0YaP7bqZ8tpEJ+xW/JVip/5b0eX4e5/03U+g/5crf8A+P0WbpEviCUwQSy2zL5YuollRfMvNpYI3HTik/tKQc/YtK424zYxY79qJblLYXy/D3/P7qX3h/y5W/8A8fqWez0K3NsHvtRPn20V0u2zg4SYEgHM3X1qudT+Y5s9IznGPscQ/TNV7m6nu3WeURDaiQIsSpHGkceVVVRe3WpbS3GbVtH4aWxuLhzPMkE0UDPPZN5pacOygCK7VcDaf89K2vWtjDZ281rFGomkidXRZYy8MttHOqukksgyCT0NV4iBoeq5OP8AiY6Z1/65XNS69cFrbTrXaNq2Gm3W/PJL2yRbcfhmqQnseoeHf+QFoP8A2DrX/wBAFbNY3h3/AJAWg/8AYOtf/QBWzXYzRbGXrv8AyCNc/wCwde/+iWrxG3/1Uf1avbtd/wCQRrn/AGDr3/0S1eI2/wDqo/q1Y1tkZy+I7fwSD5Wrf70XfH8DV1xzhuf4Y+9ch4JwYtWyed0PU8Y2t2rryF+blfuR1+d5l/vVT+vsntYf+GjzjxJ/yG9S7fvIv/RS81hxfel/3z/WtzxJj+3NSx/z0h/PylrEi+9L/vtX2uF/gR9EeRV+N+rA/wCuT/rkf61N6/8AAahP+uT/AK5H+tTevT+Guh9DNHbeC/8Aj11H/r9j74/5ZV1IB+Xns/8AFXLeDP8Aj01DOP8Aj9TGf+uVdQAvy8r0kr4nMP8AeZ/12PZw/wDDR51q6NJ4gvI1YK0l5borMAyqW8tQxB4IFaOpP4mtodRNzp8EdldQS2jNbWiQrGscqxGZnWMON5XcoLEYasrXsDWNVwf+WqYx/wBc0rKiZz5oLuQZBkMzEH8zX1+EdsPH0X5HlVH779WP+X5dpJ65ye+Af8/SoF+7B/vt39xVjj26tVnRZI47lWMkMU5tr1bGWfaIorsqPLZi4KjuFJ6Eg10U1ZWM5asr8c/Qd6U7ehx16EiumtrqfyNUgvLm13SPK97d29/EkpJtVRAIkXD8gKcZ5J+tTeEjpIhv/ONqLvz0Li4MYbyPKH3N/O3rurmxNX2FPnSuawhzy5bnKMoEYkdD5RJAcg7CfQN0/Wo4zbE/Jtzt7GtxYx/bccpGPDv9sMEYk/2YTycAH91jdntVvxUdBNvp32P7E0/mSZ+wmHIj287/ACvfGKl4i1SFPlfvK/oHs/dcr7GNexPNHoMcaMz/AGGY4QMzYF1NyAKpGKJWdDvDoxV1O7cp9GGM11Hh64sIrrShLKkbJo92itLKiojNes5V9x6kYIrR0S4s/wC2PGLm4ttr3sEqMZE2sixuGZTnkDuazxGMlRlKKjflSf3uxUKKmk77nCFLYqTkkANzk4H44xWprKst8XTJH2PTsjPUC0iGa2dIuLIeFtThe5tUlf8AtbajyIJCHzghCc89q5qS4uJ2W4mKMWihjbaMYWJFiXj6AZrooV3VlOLWzt6mc4KCT7iqQwyB6fxdKdj27n+Koiu0mSPaVOCwGcVKpVgCNuCTWzXUhCge3b+9Rg+nYfxUoA/2eh9a2INDadLTMziW6hWaIpZzSWqqwJAluVO0f7XHFJK+wzHUzRSxTwSNFPC26N1blT0qa6v9YvI1iup/tEav5iiTYMNgr1UA1asNOW9W6drq2t1t2twzTZ2HzWYcMO/Bx69O9RXlpHb/AGR4phNBdwGeF2iaJ9odoyGQk9wcc0nTi2ptJtdR3aVkyK0R/s+tfuk5sosc9f8AS4K07SGR9PtTHpa310kDeXG0LTRCI3svmq20/KSMYb2NUrXaLfWMlcfY4v8A0qgpVutPMFpFMlxvt1lQNb3EcasskjS8hkJ4z61qpCsO1Rbe3n00WVpJDJbwK80d4m2ZJ/OeVVcnG7AwAe4A/DXi8WWbRr9tsbkXAwH+ztG0bH1XzGBH05+tZMt1pUwgEq3rCCIQxZuLbIjDM4UnysnGTii3Gizz20AS9UzzRQhvtFucGRgmceV71hUpRqSUtmtmtGXGbjsGsau+rtbxRQPDZW7mRRI4MkkhG3c+3jgcAe/5WLC009LrQjJPd/aLhra5VY4ojEpMpCqXZw38PPFZSoXkMce1nBkwF5JCAsT+ABNatsUOo+ExlOYLLHTn9/L0p0qcaaUYrQTk5O7MWRFfzAy5BLHr3yarmMg7COQNyMD2HODVsjLP9zq386gfHmD7v3D6+hrSLIaK/qwXjPzrng+9a9rfW0Ol3OlsLnF4s088isB5LptMKxrnBU4/e/h/d5oQ2lzNbX9zHFugtFRrhwQAgOT0JyauDRdYNwtv9kPmmxNyAWjwYxhc53YznjFKVenBtOSXzCMZPVINUura8OnyQy3dxOlpFav9pjCs7RliZS3mMTnPfpj8qKxsokZlJYH5iT0PpVqHS9Ul/shooARfpKbYlowJFUZbdk8cetOl03VvJml8khPtwsHJaPd57uIinXOCcDPSspV481lJff5/18y1B2u0zOUAiHIzzKevHAzTEEm6KRlbD52sehwO1abaTqsZ1FTa4GmJuuDvTC7035znnjnil/sbWzNb2xtj5n2E3sabosmJMJknPUZAxnvVPEU+kl9/z/yJ9nLszMH/ACw/3j396YfuN/12/pWjFpOqyppLpbZS+JNsd6APxv5yeOATzUZ0vVPJlk+zNtTUhYN8yZFyWCbMZ9SBnpzVe3pXtzL7/MXs5dimSQ0x7gcH0+lAhG3LZyVzwavTaVqsZ1ffbEfYI1kuiGQhEYbwRg88c8Us2n6jAFEttjOnnUT86HFspAZzg9sjjrSjWhKyhJN+vlcbg1q0UTbxgL85JOOARkZAP/1vwpPIQkDcw+Y85HYZrQ02GwuNR06K9KfZpJ1DKx2o52kqrMCOCcd63vFNloMFraTWqWkV39qEMQtSv72MI2VdVOMDrn/GuWeL9nVjQd231NI0uaLmuhxjgQyMqtuXHPowP0rQh01WtJ7km5Z5Yrv7LDawiY7bZEeSSYlgQoLKOAe57c6j2XhVPse+ZJvti7ZHW8ZZbFUsxIz+Sq8kvuAB9AO9Y9vqV9apPDE0e0xSOheJHeF5ohDI0TNyCw4P0HpXopWSuYWVzXTw6w+w5usw3UumxpIqAn/SYXlkGM43IRjHuD3qrFbQwaloDwyNLBc3FndQM6iORR9o8tkdQSMgqRwcGo4NY1REi2yptS5trtVMalRNBD9nU4P+zwfWnWtzNc6po7y7B5d3ZQxJEgSOKNJVwkaLwB1P41m2r6F6EC7vs/idWOGBtyr+o+3DANUUfduVhhwBkevuK0woe28TA9M2/I7H7cMVjsDnaxw4A2P6+xp7ol6HoFrDBZeHrC5i02ynulhSYeYqZdmy5YuVJz+P5VFZ3lprujawJLC2jkjhuxJhR5ZkMTSq6kjIIPNZ+neKrO3sLPTbqwlc26iGR0kjCsgyM4Yg5obxFpUFheWGm6U8SzRXMSO0ke0tKpTzH5LZ/GvkamCqt6QfPzXvdWtdHqxrQtvpYwbS/vrSN1t5dqyrG0qtHFIrsgIUlZVI4yfzqx4gkklktJZCDJJpGlu5AVQSY+yqAP0ptpbWX2C7u7r7SwgmtLZI7Z4oyTMkjFmaRG6bfTvTvEHl+baiIOIxpGlBRIQzgeVkBmUAZ/CvrUeY9j1Xw7/yAtB/7B1r/wCgCtmsbw5/yAtB/wCwda/+gCtmuxmi2MvXf+QRrn/YOvf/AES1eI2/+qj+rV7dr3/II1z/ALB17/6JavELf/VR/VqxrbIzl8R2/gn/AFerjPeE4xk/dYZrsCOG6/cj/hrx5WdOUZlO0glGKnH4VJ59zz+/m6L/AMtX/wAa+YxOU+3qyqKVr+XlbudtPFckVGxua9Z39zrGqS29rczRLPHGXihdl3rEmVyo7VkxaTre6Q/2bfYJZhm3kGR68iq4aUfNuYAvyQ/OfUgHNMid90vzv94/xN/jXuUYqFNQWtkl9xxzd5XfUuHSda81D/Zt9jYVz9nkxkZ46VKdL1gKzHT73aCoJ+zydfyrOd5g6uC7Dy8EBmp3nzjPyy/w/wAbVra5N0jvvCMM8EOpQzxyxTLeRMY5UKttaLg7Tzg10gH3eT0k/hrx5Z7gHKiUEnkq7A/mKeLq8wADcdG/5av/AI14mIyl1qrqc1r/APA8/I7KeKUIqNjT10g6xqu0gjzVGR7IoNZUP/LX/roO1J5kvP7pugzzT4lYByRgs4OK9enT9nTUOyS+45JS5pXH8fq3aoF+7B/vN/SrA7depqHZgiM5KsrMvqprSJLJ+OfoO1OwD6H5h2qKLBiyS28HB69ARj29am/P7wqL6tFCEKwCnlck4xx+VIsca8qADt7CnDbtB+bduPr79e3pS9h1+6aFJsGhrxxsGLDJwO1bMum6XZtqDus7w2moWVrsEioxjntmlJZyh6EDt0rKx14P8NXjqmqf6LuuZCLZv3WVjP8AB5fz5X5uOPmzxVJhoN1Sx063uwLMO1pJBFPbyO4k81HH31YKvGcjGO1UDJjcqozBVAbC8D2q3LPd3s6PIZZriXESKiAscDCoiRjH4AVFdWmo2DfvoLiAXCZXzYxgkjnYxyM4JzjnmhyTdr6hbqR26tJJIiZH3SFIOeuO1LAcoef427VLBYandQvcQWl3KkZA8yNGIfnBA9cd8ZplvDc3EgW1hlkmwzNFGMsyrySFo5k76r/L1FZq2g3zTzhWKrkFgvFdBp6aZ5WktKmtvFdTlLiFVItXZCM7VRcsp9jng1gyw6jaZjnguLfz1YgTRFCwBGdhcZ9M4NdBDf6ounNL/Yty0L2trbS3EU91EJILdGCuFToCCdxHX1pqUUrtq3QavcpafDb3El5FMNQZBE8yrYoGyYslRKpVuPQ44NGoG0KaWbZbpV+yNu+1gmRsTPtIbAUjHTAx+NO0m7mjkkht7J7t53tphGjyqUa3k3qzNF/Dk85OKbqc0897K09tPbTgDzY5ZJXJyTgqZf4ewA44pc0fhvqPpcrQ3FxbszQStGzLsYhVO5chsEMCOwP4VN/aWp/8/Lf9+YP/AIinWWxU1CVoY5WhtVeNZ13oGaeKMnbkc4JqzF/aM8Ykg0W1kjOVEiWeVJHBwd2KeoFT+0tT/wCfk/8AfmD/AOIoGp6oCCLpgQQQRFCCCOcghKu+RrH/AEA4On/PkPrn71S21vqbXFus2iQCF54VlJswoWMsAxyG9M09QKUGs6nBJ5hlEgxIpV4YOrIyg52Z4zn8KT7fr+UYS3QKj5Ctqo245GzEfHtika9G5sWGnYDMB/ow6Dj+9WrDezSXWh27QQBLyKBptomB+eR0O0+ZxwBQvUDnGDICGDKxHIZCGHfkHmolimnuIYYVZ5ZfkjRQNzMc4ArS1QhrxfNd8fYrP58lzu+zqQW5z9eai0jjW9IOGx9rixk9snGamPxWE0T6VkeH/GQz/wAs4xyOf9W1dWpP9rwEsM/2C+Rgf891rItvCWnS29rLPeXXmXAV8KYUUs437VDAk4+tTHwbpQxuu74ZBAy0IyT25Wvn8RKhVnKXO1e/R+S7+R301UjFLl/Ebpx/c/D/AJHFve9un+jtUt08bWFxsG3Hiu3DZ53ML+PJph8HaSnzG6vgAFALNCAMnAH3aV/B+k4YvdXiqHBJJhUD3JK1nehzc3O/ufdvv5lWna3L+JJdEEePwTkGGDpx/wAuQ6VYB/4nNkcj/kWp/wD0fFVE+C9IUEteXwX5ixZoQMDuxK0N4M0kruN3fACM8hogMfXbS/cWt7R7dn2S7+Q/3n8v4j7AkWngLkY2nt/06SVCx/0O+5H/ACO0f/pXFS/8IXpJXIu78rhCpDQkYPcfLSDwXpDAFby/ZWcYKtCQR1yCFpuWH5r+0e/Z92+4rVLW5fxJL5hjx9hh/wAg+POB/wBOj1DfxyXN1a20YDzXPg65ghj3KrSSNJCQi7iBk0L4L0hgpW8v2Vg/KtCQccdQtPt/CumWk1pexXN3I9vNayIHMLJuWdRg7RmqwlShTqxam29tn1SXf5k1I1JRacfx87nJWFnLNdtZRIjTXUc9l+/5SHepDSHAJyuDirl94evdFs53lNrPDdSRW7yQK6yW5RxKHG8dDjb171W+0XNpqE1zbvsmhvJnQsNy/fYEMvcGrGpa5qeqJDDcGJIY5RJshQjfIFK7mJY8c9K9ipLEe1jyNcnU44qnyu+5btpWtL3RrWLSdJN+tssxflZpfMgaaMiTorlcZ4Iye2eOVZtrMcEqY1DfQgVqSatqyWn2ZbpxF5RgB2RGURH5TGJivmBccY3dKz1/1j/9ck/pXbfS5kzTi0mQSaVbm7hEmpNAYY2jn/dxzJ5iuZAnlnA6gNx/J0Fs1rqei/vY5Yp7mzuLeaLcEkjaYLkBwGBBBBBHakh1drCOySCzUx293DdSiS4uJBI8asvyI52pncd20c8elR2135+qaGFiSG1iurO3tY4SzCJBPvwzOSxYkksT60NJ6od0iRP+PfxN/wBsP/S0VlyBSr7ugUHNaif8e/iX/th/6XCsxhkMPVQKz7DZvabommnSF1bVkuJgz74orVmDeQPly4XBJPJ69KiuNI0a70261XRHuIpLPzZLm1mYupjUbztzkg45HJzirmja/psenJpWqSSQmEtHFMIy8bRHJGduSCPpVabU9D03TLrTtEmuLm5vhKk1w6FERXGwnkDnGQAB3rwJ/W1WvFy5ubb7HLdfLb5navY+z1tt87lC3bdoOpN/e1DTf/RVxSa9nfZZ6/2LpP8A6Kot1C6DqS+moaYP/IVxRr33rLp/yBtJ/wDRQr6HqcT2PV/Dv/IC0H/sHWn/AKAK2axvDn/IC0H/ALB1r/6AK2a7GaLYy9d/5BGuf9g69/8ARLV4hb/6uP6tXt+u/wDII1z/ALB17/6JavELf/VR/VqxrbIzl8RKOn/ATS+v0Wm5IGefuE1pTwaPbP5MsmomQQ2sjmNbbYWlhSXC7jnjOK5gKHP3cnHmbsds464qOL70v++1XnbQlViG1XIPpZ/1NNSPQsbhNq4L5PSz6+/NVFJJie5DlPLxs+fGS3tn6/0o43ZIyOO2evfH/wBerxtNGW1tro3OrMs73MIRRaBlaERnJOcc7h+VWtOj0n/iYlTdyeTaPdn7Xa2M/wAsJA2puPBOf0qfZqzV9yru5kL1/wCBmlA6fRq27qK1m0i6u4EiXOfLJs7aCaJ4rmCMkPAeQwY8VVv7XSILi9iik1RXiMiRrsgaAMFGBuZt+3Ptmr5UuojS8OaJY6nHe3F08jCEpEkMT7MZXdvkIGe/HPaqd7pUNvrQ0qO5IikuLOMSyMrSRLMFJViFA3c8cdxRp2l6xeWqSaXLJA6ebHeyi4eETtuDRgBW/hBx0HWllsJI9VsrO6jlkumhVLn98zG4vJFk8udZS+cD5O4+709fNin7ef71bbdvM3fwL3TW1vw5p1hYG6tnnWSCWNGE0oZZQz7Tkbfvc8Yx0rkI13MzEnKlgPSugudH161tbubVZ5biBYnWIC7klEVyxVY5mRmHA59evT0w402A85yCela4K6pu9Tn13/QitrJe7Yb5KjOGboO9DpswwZs71HJqb16dFpk33e3+sWu1SbZi0rEo7cd2oI4HGfl9fegdunVu1OHTt930qCgwMnA4wvtk/QE/zp3uB0bPrUcrFEYjGflxxSkPE0W6VWDndkYypHfgn8P5UJWSQX6mnplxLaXqXrW3mpZQSvcICA6QkeWZE8w/eyw79z+FnXdWh1q1ha2tp447CQSXDzmMD98DEgUIxPJzVLS4lvdV0+1mZjbzLJHMkRMYaJEaQI3l4+UkDNaviLS9J062tWs/3DTy+XLGryyLMqqXG4MxHynkfWuGXsI4impJ81tLbdTo9905NPQk03xDa6TZWlldWlyZoUSQGFoijRy/vkbJcHkEZ4rL0yWXTtVu76e2d1smujdpE6Fo/tD+WMFiAcEgVu6Rouh32nWtzcr9omkG2SV5pVZdhKBAFYABQABx2rD0W3jvtYa2neSW2ka8af8AeOPPWIkp5rqQSM4PWppvDfvrJ9b/AHvYJKp7l/kS67qUWsxWs1vbzRxWbSRytM0f37gAoFCMf7hrVj8QQxW6aS9jcfbkhXTtqyQ+V5+3yQN+7pn2rP8AEthYacLBLJPKS4Fw08YlkdWMW3YxV2PI3Nj61swaPoy2EV9NGGvPsS3bzzTzbzMY/M8w/PjOeelZTeF+r07xfLrba5aVX2ktVfqc/oVydIlubue2lkhZFsT5JTcsoPm9HYcYBqTWr86jJaXcVo8duEkt0aUp5jujb3B2E8DcMfU0nhy0t9SurmO+3SQpbrcbPMkRDMzBN7bCOcE4570a9aWlnfQWtozLbm3E5i815FjlZmUlQxJGQBmut+x+uNWfPb5bf5GXv+x8itas32fV/wB0f+POPv1/0qGi4Z/smj/uz/qbvI3H/n5ei1jH2fV/mPNnH/6VQ0txEPsmkfMeIrv/ANKXrv0MNSnvfIHlsWYhUUMSWZjtAA960v7E8R4z/Z7Djp50eR9RuqpaeXHe6f5oLxG7tsgfeB8xcYz74rur+FZZAJVmZcHb5UkkYVs/eHlkfN71x1qlRVY0qdtU9zanBSi5SucNdWWp2Iie8s3ijlfYr7lZQ2M7WKk4Pp9K2LOB3ufDk6+SY447VJCZ4VZSs0hIKs27PPpVzxGsyaJapM++Rb2AF2HzMAJApbHfGM1gWe032mD5eLq27d/MWjC1nVhzS3vbTyCpBQlZBbTwrewTXiNNHHJFnMhBVY3ABIwcgAdMUuntC+v6U8URjjN3GQpkMh6nJ3YH8qg8p3F3KNmyDBkLHGN8mxQB3J/pVjTYnj1jQHbbsnmSSIqQcqHeM9O4INdkNzJnc2ccb2eml40YxwwOhYA7G8sDcuehqw0cbhQ6I20iRQ3O1lOQwz3Haq1nFG9npRbrFFBImCy/MItvIU4PXpViSOOURh+iOsi7Sy/MhyPukce1fESWrPaWwrojgq6Kwwpw2GGQcg4PpQ8ccgZJEV0ZgGVsMrD0INJLHHKhR/u/uydpZTlWDDlSD2oljjmR45PuOyhtpZDwQeCpB/Wo/r8xisiSKY3RXR96urYZWUjBBB7UFVKlCqlTGVKnkEHjGKR0SVHjc/LIJFbaWU4YYOGXB/WhkRozGSNpiZDgsDtIx1HNJ/1+ABsVV2KqhVVFCg4AA4wBQqJGFREVERwqquFVQB0AFIERU2DG0JGgyWJ2gYHJ5ojjjiVI0+6jBV3FmOAMcsxJP51D3/rzGIiRxqiRoqKokwqYVRzngCoXRI4QqIqLvgbCYAy1wjE4Hc96liiiiSONPuoJMb2Z25JPLNk1C0UMUISPpvhb5mZjlrhWPLHNVQ0rQ9V+gp/CzzC5x9quwTgG6myc/wDTRqiO3ewVtyiQgHPWtjTorefVNQint3uEc3HyxeTvUrcK+4ee6L0BB+bPNLrn2gGzFza+VL516Y5PJtYla2Lr5UY+ykqSgznuM/jX3HL9q54vQwZv9X/n1pq/61x6xoOfwpZTuAjUZY5z7fWmrhpJccjy1UntnpV/ZI6mgNN1F5p4Ft2MsM0cMi5XG95PJAUk4PPof5Uy1t3tdV0kb4JEe+s2zbzRzIuZlH3oyRmta78QC7ttPt2t3hNtPaSyT2zok7+VH8xViDyWJcVWW7iutX0aWJXUrc2aSSyrEks8gmBMsghATPIHHpzzSulsU0inEdlv4ny2YyYNp9Cb4cGqBli5+YdB61oLGy2/ijZghjbna3QH7cKzCkvPyRdB6U3Z6k6o17DQJtRtW1K7vIrHTlkKpJIu52wdpYAkADPHX8KS90CSzszqenX0WoWSFxcbFCSxqpwXwCQQO/Qj37dHot9YalosenNJbxXlupt3gkKxhwAQrqD1B7+/655+y+HNF1G2nu7e5vtRWeGK3gcSLHvj8rLew5JJHoK+eqYvERqqMZa81uS3S61vbtrc740abhd9t/MyYDnQtTI6HUNMP/kK4pmu8NZDH/MG0n/0VS2oK+H9RU9tQ0zr/wBcrnrSa7y9n1/5A+k/+iR0r6DqcT2PWPDv/IC0H/sHWv8A6AK2axvDv/IC0H/sHWn/AKAK2a7GaLYy9e/5BGuf9g69/wDRLV4jaI8iwRoAXdmVQzKgyfVnIUfia9u17/kD65/2Dr3/ANEtXh9vzEnHdqxrbIzl8Ro6jp1zpzpHKUYSQI6MkkTZ3RpIQRGzEYzjnrjNaWEOuNkRlVsEdfORXQFNLDqzKwIOCAeh6VhySSSbnkYu5iClm5JVFCKPwAAH0rb4/tqXHT+yzjP/AGCK50Mt3RtrXR5Ltr61nvGnWKH7Fa6TNbMSjMNwKCUDgZJUHPY9RiJq90FTc9iDtOc2VgP08qny6pJLBdR3NpYSJJC8aGK0t4JIpCAUlWSJA3B7Z5ra8KTJZ6Frd79nSV4bqZzwNzBLeMhScZwMn9awxeJ+r0faJX1S+/TzLpw9pPluYFzfXE6wJcPGqIjyQKsUMCfvMbnVY1UHOBz7Vb0shl1sggg6NeYI5zzH6V13h+/v7+38+9Fs/mK3kLDEFEUanABJJrkr2W40/WNXazlMDLdzqptm2hUkbJQY4+orGjiJzqezqxs7J730fyLqU1Fcyd+hJJM8eiWUIUEXVxqMcmc5Ajkt5Rt/KtKWX7RZXtyusz3s7Q5ktLa4+ywwhlIbMMxMhVMDIAAOaztQubu70zRpLmaSWX7TqiCSU5baPJwM+1W5dbsJIJIUguljeK5jEOyyEJV4hHEjlV3lYzll5zk13oyJfD2rz2VvdWsenXV2SwnzaKWKZAU7wAeOOKqXesGbWotV+zsggkt8Qu2GxEMEMccHrUmlDVJbCaKHT3ubSO5EpkivjYus7IqlXdXXIIAxkcc4PNNuRer4giNxBDLdNd2Ltbo37tyyxlY98hOewJJPPPNcqwlJSdS2st9y/aScVHsXtU8Tw6jZT2cdpJGZnGXkdCFVWD8Be/FYEH2TLfajchdny/ZhETnPO7zCBW3qGp/2hZXyxRXDRwPZRzNcS2rLG6yMv2hBCoJaQ8MRx+dc9/Cf9xqqlh4UFy09iZzc3eRtf2UpGRY6+RtUg/Z7bkHkd6p3Mekwl45l1dJEkUOjJahlOM4IJr0uLPkxcf8ALCDv/sivN/EX/IV1Xr/x9r/6LWuTA42WIqOMla3+ZrXoqnG6IVGiysMPqw9AFtO/GBg1eGiLxm08Q/dP/LC3/wAaxrX/AFicfxr/AOhV66CcDj+A9/etMdjJYVxUVe//AACaFFVU2zyu8gtYgyw/bhKkgSVbsQjbjjGIznOaqoQpwRlS3Ix+orT1Mbr/AFUYPN1N/wChmswde/3vWvRpS54Js55qz0LljbGe5WASsnmxTFHGA2QjOq8kdSMde9XL3SILGGV/NmMtvNbW06SRxqskk0PnZtyrFsL0OR3FVrB7OO6tpLxC1skTmQbBKM7TtJjJGQDgkZ5qzfXNlcQr5C24kE6F2htGheZQgUSNliqZOfkUY5znjirhbQbFpiTWsdx9psYpZbiWGOG5LR7zEEJ2yn5M/MODj602G1Q3n2K7uUsgZGilkA8wIxGAG2HGD65xVywTRJbRor+aJWNzdnEstykkfyR+X9nEatGNxzvJU9OnpDDBZPqYSCC0lgVbmSdJJJxZQRIufM81ishCjBJ454xS07FWGXFro9vaxy2t49zcG6kiZWiEOIxGGDeXuYkZ75qhgyMWYkkAAlucAdBz+lbGpxmC3htJLW3tka/lnieBxukg8pYxIY97ttPUHPPpxWYyIshjD74gQFkXIWT3w3NVoS0CrvBHzCPIyP75HPNPSNE+6Dk+1SY7YOAR3oG4FSMgg5Bz0I5rJu5Viza58jVhz/x6R9R/08w0tx/x66T1/wBVddv+nl6dC8kkesSOSXa0iyflA4uYQMBcD9Kbcf8AHrpPX/U3Wef+nl6OgymysdpVmVkZXRgOQyncDWiuteJZCyx3ZdkG5wlvG5UDkltqVUhiEs0ELP5QlkjjMjHARXYLu5/Su0kUWax2toTaxoo2+XHGxJHGXLg5Pr/OuOt7840lBSk77mtNOzleyOLub/U9QWJLq8aWKOQuERUVS+MfMEAzjtn1rUs5JIrrw5CixeXKlu8mbaFmZmmkBJdlLZ4HftVnXrWI2tlfssUV20vkTeX8q3AIY5A9RjIz2JrM0+6vVutOiW5uFi+0wL5YlcJtMgyNoOMVphakZw92PL5eYqkXGWruMsnSMahI1yYWCwqoaEXCSq0p3K8J69AfapLWUy69opFwZwJYVX/R/s6RqGY7EjHGO/HrUdldR2dxLK8dw64I2QXDQA4YkbyoyR7ZFTxXZvfEOjzlrk4mhX/SHjYrgtwgjVVC+2K64GTOvs0c2el4kkTZFCzBQuJB5eNjZB478elTyIziMLLJHtYOSgX5lU5KHcDwe9V7NZzZ6V5bKAI4fNypO5PL5CYPBzirLrMQnlnacgsXUsCmfmAAI59K+Hk9We0hJEZ0KrJJGf3Z3IFJwrAkfMCMHoaJUZ1dFkkjZmXDxhSy9+NwI/SiVZihETBX/d8yKWG0MN3AI5I6USrOUkEJCylhsMgLID/tAEH9ai/9feMV1ZkZFkeNm8wB0C7kJGMruBGR9KQqTGVDuCYWUOANwJ43DIxnv0odZSjCI7ZD5gRnBZQ2OCygg4/GkZZfLIUkSeSwViCVDdiR1x+NQ3/X3DF2kJtLuxCRqXIG4kDG44GM/hRGhRURpJJGVlBdwu5yB95toA5+lIFl2YYkybIgxUELvxyQOuKVFmCoJW3SBl3lFKqWxztBJ4/GlfX+u7AbEjIkatJJIyiTLuF3Nk552gD9KhaNo4QrSySnfC26QKDhrhSF+UAYHQfSp4lmCRiZt0mJNzRqVU8noCSf1qF1mEA81gzb4eUUqu37QpXIJPOOta0P4sPVfoTP4WeZySRxXd67wwTL9onGy4DlMmQ84RlOfxqK7v3uVt4I4baFIXlZEtUKIGk2hnbczEngd+1WraC2u9fgtbgb4JL+YTIWKggM7AEj8K1/FFjoNjYW39nxWkU81+qnyGBcxeWxboxOOlfWzxMadaNFp3keSqblByT2ORAz8iHsfMf+gqZI22v5aOyogZyqlto9WIFbJtvDdvpUrJL9rviyLEYppYXUMrlme3kj6L8ufmOfUd49OuIltLu3nukt4mLyh4pp4rrzPJKLtWNSjqeBtYjGTyM11vV2MlGxl7XwCEchnwpCthiOoU45qfTx/wATDSc7grX9sQcdR5yjIzWvFfRLe6NcNqCCwgbTwbLMw+zmKAo+Ywu3GcnIOTu/KqZ4bnWtImilzA9zY+VCVwLNBIo+zbQAMIc4I6gg9SamxRAn/Hv4mPvB/wClwrNPf6LWin/Hv4l/7Yf+lorMf7sgHXYKT6CJ7TR9U1gu9laq0Ucmxp5nEcZfGdoY9/oKS80TVdIWOe8tF8iRynnQOssaP0Acr0z2yK7LSVgu/CsMFvuYqksNxHGTv87JZh8vOTwR9aoWsV1Y+GNZGseYkUsdxFawTN+83Om1QAc4JbBA9s14k8xqxnZWtzcvL9rdK+/3aHXHDQcb9bXv0MWHnQ9TI/6CGmH/AMhXFM17O+z6jGjaSOnH+pHSi13Dw/qAJ5+36Z/6KuaXXvv2fX/kDaT/AOiRXu7M5Hser+Hf+QFoP/YOtf8A0AVs1jeHP+QFoP8A2DrT/wBAFbNdjNFsZevf8gfXP+wde/8Aolq8Pt/9VH9Wr3DXv+QPrn/YOvf/AES1eH2/+qj+rVjW2RnL4iU/dP8AuNW7/wAxmX/sFn/00Vgn7p/3GreP/IZl7f8AErPX/sEVzoZhOCY2AHPFaeieIm0a3ubY2MdzHPM02WlMZBaMRlSNrAjgVnDt/vD+VamhaXp91FqWqakHaysmkUQoxXzXVPMO4qQcDIwMjJPtXLipUI0H9YV43X330/Eqkpua9nuXrbxjbWiMltoUMSMCxWO5YDcxySB5dZ1rLBqF1rV3eQudtteam0ULmMFw6kIHwTjn0rd0/TdA1m1eRdL/ALPJV1tpYp2aQhSRvZT8v4HNYCSXWl3N9C8cLyBJbG4jmUtG8bEZ4Ug84BHNY4P2CqNRg4yst3rbp1ehrV9pZczuie8ltpNL0ZreFoVN1quI3lMrFh5OTuIH8qs31hpSwCSyu7EPC0gZPtu+WeDy1ZZNjgYkzuBUe341tRMdzpeit5MEGLrVV22wZVH+p+bDsxz+NXJRdXgmNxoU0AMd9em8L3IRXEAclgUAwdg2gnq3vXp2T2Of1KkEFtcadJHHc28N21yv2hbu4MMUlqFUx7QfkOG3E9+mKbeSxJfyS2U0jJDJb/Z5dzsQ0SIMo0nzYBHy57YqgrBlyDkbRT+5+q1AF2fUr25jaF/ISOSXzZltreGDznUcNKYlBOOoqn/CeP4GoHb/AHmo7f8AAGoA9Zi/1MXA/wBRB/6CK848Rf8AIV1X/r7X/wBFrXo0R/cxdP8Aj3g/9BFec+Iv+Qrqv/X2v/ota+fyhr28vT9TvxfwIzrT/WJ/vr/6EK9cA4Hyj7h/nXkdp/rE/wB9f/QhXrgPA6f6v+ta5z8Ufn+hOC2Z5rqP/IQ1Pj/l7l/9DNZzjDsOMFs/nWlqP/IQ1P8A6+5f/QzVKRAzR/MibpVjLyHaihjjcx7Ad69qg7QV+xx1FdsRdpaNSQu+MJuPRSTjJ9q1n0UwNeRPcqzQX2lWgZEIVhd4YtyT0zxzUY0mBrrSrcapp84uZltpBYzLJNHlWYsF6Y46+9dDJoUrXHltqups0yxXkkpitzH5tsVSPcdo+YdhjtXn4nGKLXJO2nb/AIHqb0qLd+ZGNFo4lnt4vPIEusajYZ2DIW1Rm39epxTtPsWhhhuY7orc3Wlale7RCjxiCHahifzMg7s88VtJoUi3BVNU1NWgmN4spS32Ge5DCRkJXqe/GOaSHw+STCup6ki26TWCbktwrW8oDuqfLnB7/SuX67L+f8PN+Xoa+xX8pzTXUl8m+8cNIIyYykMKlnA2AOyKpwOPXpVQD5Og++K2E03T082M63psXlSzw7LiRUlHluV+ZSR1rJALKQgL5fK7VJJUc5wOa9qlVjUb5Wcc4uNrk+OvTr60YHt+dLg4BxwTwcHBx1waPSmIs2w/car0/wCPSP8A9KYa0LGcwRWm02geWwvIlN6yLAD9t3/MHBz0xj/CqVlHLLFqiRI8jtaJhI1LMcXMJ4A5qdI9SWKGKTRzMsW8Rma2utwDsXIyjDufSrQxuptdSQ2QuWjny1463UcwmSQO65iRhyAnofX0qeDxBeJGI7mCC5KJiORiySZHA8zAIPv0pmzUNoU6GpVWZlX7Ne7VLYzgb8c4GafBBcyT26SaGixyTxI5+z3g2ozAE5L9hWVSjGq1zIqMpR2KF9f3eoSRvceWFiyIYogRHHnqRnkk+tW7NLKK70FTb75LgW87SNO4Cu0rAEIoxxgd6qNp+pBmxZXeNzY/0eXpnHpWnDZ3633htza3IWKG08xjC4CYlkJ3HGBVU4KC5YqyE227swG6v06n+dSWU8Vrqen3MmfLgmjlfYMttUknApjdW/Ht71DJw4J6Ebc46E1UdyGWbS2uJ7DWrxL2eIacA8cSs+2TeGbBIYY/KthtCma9htV1a7VTphvGbLEl1cIQBuHBzmsq0urW20jX7WSTM+oKEt0jRm5RCMu3QA54+lbia/pJv1ud8whi0h7YkwtkymVW2gfSvJxMsQqkvZp21tp5L/gnVTVPlXMzLttKurhPDznVbpf7WimdwC58nyozJhfn5z0pZNJu0tpZv7VuSY9Zi0zHzDKtOsHmZ35zznFWLPU9Phi8Gq8uDZRXKXeEc+WZISg6Dnn0qQaha3kEtpa+ZJcS+I47xIxGQTbx3C3DSEn5QAoJOTUc2J57Wdr9vN/pYq1O3/B9CpNo1zF/wkB/ta8Y6SqunLDzt0Hn4b5+PSn/ANgXP2yC0/ti7xJpUmob/myGWRE2Ab+nOau319bw/wDCZeaJkF2Yre33xOA8os1Urz9QfpSLrWlNqdpOJZPKXQZLUt5Mn+ueWNwmAPY1nz4u2z27eS8u9yrUr/8ABM2HRrm4h8Pytq12v9qKN4G4+TiJpflO/npjmozo9yIZ5f7Wu/3WvLpAXL8q0qRebnf15zj2rQg1TT7VPC1rcO8dxprPFfI0bHyXSF4iCR7ntmoH1bTfsl3+9O5vFK6iqeW+42y3Eb7+mOgPGarmxXPaztft5v8ASwrUrf8AB8iKXR54F8Sf8Ta8dtKtVmiO5l3s0TTEMNx9Mde9VbuObQ7/AECWS/u7mGWK1v5wxbhFlUsgXdg8dKvXmuaU3/CVBXlP9p2aR2hETYd/sxjO7pjBOOazPEN7Z6iNHmtJC4t9OW2nVkdGjkUg87hjBrTBvEOpH2qdvT+6v1uRV9movlev/BKtoHub+S3t1iL6obuBHuMgRicsRJwCcgcirt74fvdEtZpZTa3MVzJHbs8SuJLcq4lVhvHfG3r3rJt557S6sriFlWe3ZXUsu4A8/eWtPUtb1PVEhhuDCkCS+YY4UK+ZIFK5csScc8Cu6q8R7WPI1ydf69DGHJyvm3L4umjuLyxj0nSormDSb6O7MAxKXFuxkeKT2BBK47HmuayvTIztHfmr76pqkkJge5JRofJc7IhK8S9I3mC+YR7Fqvp9rk0N7WU26rLJZmxk8yzzLmQJ9nYD51xkszEj7uDx16dydzAJXJGRncOM1Z07H9o6Xnp9vts/9/Vratri5tNLlF0ts0ENzaywMHspTKIZwHtPLUGT5vmJbPQDsea8yWdvrGi2lpIkkNrdWx86PH7155xPyRz8oKr/AMBNKwFe2wF14mMSgTWZMTcLL/xMFOwn36fjWpqsNrbabcCKwnjiaOKJUktrFzb3DT+aZnu4JGfkfIBgD+VY6f8AHv4l/wC2H/paKzxJLDHdrExQTwrFMFAw6BlkCn8QD+FF+gXsNt5dRinf+y5L1ZmI8wWPmE47ZEYNJdy6pJNCuryX7Ou/yRfeaBx12hwB9cV3OjRpa+F4ZrR/KmnWSee4QLuEoLAliwI+XGPwqpZyza34d1T+2jmK3E8lvdOoRtyJvDqx44OB+OK8eeO5J+05Fy83Lf7W6X9I6Vh7xtza2v5HPRCZ9D1cQxtI0d/pjyBBnYnlXGWbHQCma4W8y2V1KOuj6RuU9QTCKzAyxKDGSZGXse57GtLWgf8AQXY5dtF0jcfcR17JyXuj1vw5/wAgHQf+wdaf+gCtmsbw5/yAdB/7B1p/6AK2a7GarYy9e/5A+uf9g69/9EtXh9v/AKqP6tXuGu/8gjXP+wde/wDolq8Pt/8AVR/VqxrbIzl8RKfun/cat0gjWZQRyNLPHp/xKKwj90/7jVszzw2+rvLKJPJNlBE3lBWdRNpqw5AYgHGfUVzIZkjt/vD+Vaeg6tBYC/s72B5tOu2fzFjAMkbldhIUkZBGM89qgCaJ0+06j94f8ulv6f8AXeo4l0IGTF3qP32zutLcfl/pFRVoRrU3Ce2g4ycJKSOlttZ0HR7XyrBru8kaNmhSdAixFznZI7AcD6E1hwWz6jPfSz3QQrDNfXMpjaQnaQWCoCD345qK4gs47a0ubeeV0ne5hInjSIq0IjORsdgc7v0qbTGXbrnzD/kDXncesdZUcMqTvdt7Xeui2Rc6jnoya+jhj03RxDM0yfatTYuYmiIP7kEbCSf1qEadf+XfFoW3WpdJMyp1VBKyopfkqPmYAHj0xTp3H9kaKd3H2vVh1HPMNaTee4hefW9Ndv7OvZ4kgQmSTzLdg2W8sJ5jbdrEnPH59Li5fgQjmjHj5oztO0ZH8Jp6yclXG1sr16GnB0w3yryi4OVOPb5s0MImUhiOo64/mKFJvRoi1tUPHb/eal/hP+41QkSQeWd6ujkkDv0B4/z/ACqaC5swW+0QTyKUwohmSIg55yWRv5U4rmV47A3bRnrMQ/cxcf8ALCDt/sivN/EX/IW1X/r7X/0WtA1qADA/trAVQB/ag6Dp/wAsaQGzv3kMdhqtzL/rpSl4ksgAGC7kW5OBXBg8DLDVHOTvf/M6K1ZVY8qM+1/1if76/wDoVevdh1+76e9eWo2lReW32O9HmKXjLX0QDKCRuU/Z+mQfyq2NWjx97Vvu/wDQWH/xmrx2DeJaadrf8AVCsqSaZHqP/IQ1P/r7m/8AQzTbSWGG7s5JmVYkuY2cuhkUKGGSUHJ+lRXFxbSZaGOZZWYNI9xdJNuz9I1OfxplszC5gYTPFtnjaS4jGXjCkHMYPcdq6fZ2hy+RlzXlc62S80u4u9AS1eFpRqkTHy7CW2IURyA/O6genH+FdEXmE6RiImBoGd5sj5XDABNvXnk/hXIy6nZfbNDZtX1G4iiv1ml+3RwpDEio67yY0U55/Wt467pHnpt1PTvs3kNvPnfvfN3DGO23Gc183XozXL7r2ff/ACR6VOa11NEPKZpkaLEKrEyS7sl3Ocjb7cfnSxPMzzCSLYqTFYjuDeYmAd3HTvVOLVLGWSZ1vrFrXEQiKTDeZOS+7Jxjpio01zR1kmWbUtPAE7LFslydgA+/79aw9nP+X8+5rzLuc/DcxxyaijX1nAf7Rv8A5JtIlvHx5pOfOTjn07VHoErwtqsdrNDHO9qPs9zPJHb7HEgIIEwPB7jH/wBZbfVLaFr4f2pq0KyX17Mi2MVs8BR5CysplUtk9TVC11GWzlnljVJTKCD9sgjm43bt2Dxn1r6TBwlGTbXb+tv1Z5tWSdrG14iuHMGjrJbRRn/SpWks3SS1lkcrvMbLznPJyO/frXPCQHAKuM5K5HX6Va1G/ub5bBnuIGwsgW3tohCluSwzkDjLf0qB3uZfswmcMtuhSIAAYBOecV2uz1MXuSyBYXAiuPMBjVi8W5RluSvrxSebP/z1l/7+P/jUdFZjJoxezNsh+1SuFL7YjI7YHU4Wrstm62qz21+1y6Gb7VHHIy+UibPmRWIcgZ+Y7e341YaKS2uR9nV7fSlexlnug8hW4hEilZDJ65J+VfTp8vFK4u1a5vYNMjkna8MvmSGEfaXV2LOkYXOEP0z6nnAvRLUCp5s//PWXr/z0f/Gm+ZN/z1l6H+Nv8aj8xO+QQxBBByCOMU3zM8IpJwevApWZNyRljEMcnnKWYsrx4wYwp4Jz61Cz7tyqN3I5PSmn5uuXOOi/dH1NSCJWWVnkAZPL2RDgPnOSD7f1o0jqw32IFQE8Dccnpwo+ppxUKAX54OFHTPoBUhIUDA53EADvTQp+83LFT9APQU276isNCnlm67RgDoB6Va0sSvNOgRVjEV/9ok8pZmkiERd0SMkfNjgfN79qrnv9BUlg9us0ouP9U/2lVyAypO8TJHIVJHQ47/yqX3LW5d1NboaTZZu0urEXTrYuFxKE8kEpJzkFTkbSOOxwamsJNRTTtPtoNVe3e8M09lFtCR74n8poTcbhguTkArjpyM1lXDWS2UMEbeZdebJcTuEZBGjoirCxJwWBBJI4HTJqRDpslrYASJFdWqyNcRPCzm7R5VdSj52ZA42kj681fMuXmF9qxDqqypqN5HKqmVLycSyqoQSuGJZgnJGcjgk/rVRlIJZeQX+Zex9xU95JHNdzyRArE08phVjuKRknapPfjFRnGf8AgdZrT+vMHqyHaGUFDwd3ytyKiIK/dyrFejfdP0NTspBDJ975sjswpMqyn/dwQe3sarmJsQoyoWD5Dkrye/41L3HP8RpHiTywVkBJZQY2wR36HOR2/OocMh+UlTuPyvyp+hpJqeqHrHcl9P8Adam4HPH8IzTfNAwHUqcN7ilUtK6RQRvNNJhY441JZj1wBSasrsL3FwMk45yKs6dxqOldv9PtuR2/erVTd88kbqySo+143BV1YdQQeataeQuoaYxYKBfWxLHoAJVyTmgZOn/Hv4m9f9H5z/0/Csw9x7LWytnr1vLfeVZI8dw0ius62s0bqspkU7XYjrginGHXv+gRp/Rf+XOw/wAadhlDT9X1fSg8dpJHJbNJvNvcrvjDEcleQRnvzRqGs6xqscVtdSww2YfJhtU2KxByN+SSQOoGav8Ak69k/wDEo0/7w/5c9P8A8aTUdKv5ZbN4LCNd1jbGdbY28cYuCp8z5FbAPrXO8LSc/a8i5u9v61K55W5b6FK0js4NO1O6+y2txNFd2NvG1wruqxyxzM2BG45OB3PSk8QMHltWCIgOkaUQkalUXMQOFBJOPxq7HpmpjSNRhNsRNJe6fIkfmQ7mSOOcMwG/oMjP1qjr4Ky28bYDxaVpcUigq2x1iGVJUkZHeuhXSVyHseseHf8AkBaD/wBg60/9AFbNY3h3/kBaD/2DrT/0AVs12s0Wxl69/wAgfXP+wde/+iWrw+3/ANXH9Wr3DXv+QRrn/YOvf/RLV4fb/wCrj+rVjW2RnL4iXt/wE1fOqXTYLwafIyxwpvlsbZ3KooRdzFcnAAFUB0H+6ad6/Ra5QL39ozZP+i6Z94D/AJB9r/8AE037cx5NlpWct/zD7X/4mqnf/gVKO3/Aqd2Bd/tKcxRxG10wxR75I0NhbbVeTaGIG3vgZ+lPh1S5t2kaG302MvH5L7dPtfnjfG5GBXGDxWf/APE071/4DVcz7gWLu6mvRbpMsCx27S+VHbQRQIpkwWO2IAZOBVUQw8fL2Y9T1p/f/gRpR2+jUcz7ishnkxYPy/wjuad5MXPynqvc07t/wEU71+q0czCyGLBFnofvN3pwijwOD909zTh1H+81KOg/3TRzMLITyo8Hjsvc1padFqLx30On287s72krvbu6SQmF2ZGBVh1yf8iqHY/RaftfP3X+8P4Wo5mOyNLWY5jLphu4EiufsJM0aKEw7TzMWZVOAW+8cetZgjjx90fcNPCvx8j9W/halCvj7jfd/umhyYDfLj5+Ufw1IoAwAMDd2o2vz8jfw/wmnbWz91vvf3TRqBoDTEGnWmpvc2zI9z5TW5/1igPtJPP4kY6GrN3eaM82oSRiLy/7U0aWPbCBmGEASlRt6cHPrWC2CyIcquT5jYwQtDCLMqQsWXbGVLcEnHzAfjnFY1cPGs05Nq3+a/yLjUcVodZpuqaPClyXlSNBq9/cqpjYZglD7Cqhe/HFZ1vPpiwaeriLeugapBJmMHFzI6mNW4+9wcf/AF6xYI3mlWJcEsRgMwUE9AMninAkqSeGaQofYegrL6jTUnaT/q/+ZXt5W2JYc+VH/umpOx+gpqjAUDsCKUkAMT2ANdb1ZkAVAchQDntTv/r0zdIFSRomWKRyqOc7SV6jPSn/AP16HcBaKQEdqWgBdz7Qhd9gJYJuOwE9wvTNa2ganp2nJfRXY8t2bzkmWMu8i4A8rKjPHUfU+lYrSKOByfQU+E3kbC6VcKhaIlk3RnzFKmN88HIJyKzq0Y1ock9ioTcZXRNe3Fvfz391bxiB/MjdIPLBaWM/K8rMvG7PJ9j1yOa0UDzOqNIq5V2+c4XCqWPI7+ldppkuiwaWkqLDDDs8u634Ll8YZXPU57fWuPn8gyzeQGEBkkMIf7wTPGaxoV+e9OMWlHTUupTtaTd7ljT4Uc3h+zrcSW9q0sNudxWRhIqklUIY4BJwD29qme2RrDVpjYzRXUN7bKcCTyoY33bo0ByRj+Iknt075oLqQULBuNpViGyeOCKWZrmIyQGSRWLlXVZGKknhicHB96601szPobGs2OmxC08mNrdTfvZyyFJEzGEiO5d7Hd1PzjH0q9relaTY6elzBFHBLaSQmByGkEpLhfLlV8g59xXKtlgqOWZVBRQ7E4X0GacJpx9mPnSn7PloN0jsIyO6hjiuetTlUnGUZWSLjJJNNbnQ6DpWlana3V3eWsckrXbxfJujjVUVMBEiIUdawdOs7GbXBZXAJtReXcQVnK7hEX2KWGD2HeoBcXTSXjtPNvm2iUrIy7x0+bbgVJZwNdXBsYYYnluoXiiMrbVhIKyGTOCeAp/Oo9lODqSlPRr7g5k1FJbfiavibTtI061sfsUMcUk1zKr7Xd2eNUJx8zHgHFWPD2k6HqOmRzXlvFLOks8bMZHVgFI2hgrDtWLqGkXmj2x+1JbyfbJUSKaF2ZoTEWkZcOoPzD09KfZ6FqGsWtvcWotYI44DakyuwaeSNmLSEIp9QOfSsZRj9WX73r8Wv3b3LTftX7nyILWysZfEQsCPMsv7QmhVQ5IaNN5Vd6nPYDrWp4msdP0R9LuNPt4YnmkuYpFlXzo2VVRg2yfcMj196xLpQtxcQmBIHtjDbyJG2V82BFjZ1ZQOpBP40xru9S4inS4mExJj8xnZ22YHy5fPFdHs5urCanol9/mZ8yUWranXafomiXGgW881uoluLKW5luAz70k2s29SDwF9B6Vz1rAf7KFzbafFfSySzRXsjpIxtoEhV43UIw25yzbj/dx9c8tJ5bReZL5MjvI8YkcIzdclQcfpTeQrKCQrRhWAJAZfRgOoow9OVJycpXu/uHOSlaytY2rq1NtF4buLXSyGuoXiZL6JpkuLhpSiF8hRlhyo44/OqGstbNf3CQRQJFCVt2+zpsikliXbJIq+7Zx7Yql5k5IiaWQ7WjMW+RyB2BGTxih1ZG2t1yG9DyM8g963lJX5SN1chkj2bPLlJGxiQcEdT061taPf6foV4hvIzI1zZxedMsJU2buxbagbBIxjeQOvTOOa2kPp0WoWkl+D9nTe3QlRIPuFwOcA9a6nxRcaV9jtZmS3nu2MEli3yyDajB2L46p2wfWvOxFa8lhakW1Lr/X4m1OGjqRdrdDnvEV7aazq1sumxeaYgsRmijYPdSPghQMZIXoOO57Csue3ubaUw3MMkMqkkxzIVbB6HB7VqaVCTeC6klvV1W6meW03xqbeUvFI481XG5hJhkwMYBznsINVvY1jtNNeymtZbaVpylxcrdfZhPGrfZoXChgo6lWJIPHbnuo0oU6ahB6IynJt80uplbUwPlX7p7CkKpz8q9F7CndQP909KQ9D9FpkjSiZ+6v3h2FJsTj5V6t2FPP/ALMKT0/4FQAzYmPur9z0FMlAEcgAA4WpO3/AKjm/1cn0WnHcT2PavDv/ACAtA/7B1p/6LFbNY3hz/kA6D/2DrX/0AVs13s1Wxl69/wAgfXP+wde/+iWrw+3/ANVH9Wr3DXv+QRrn/YOvf/RLV4hb/wCqj+rVjW2RnL4iXsP900vr9FpB2/3TS+v0WuUBe/8AwOlHb/gVJ3/4FSjt/wACoAO3/AKd6/8AAaTt/wABq/pFnFf6lZWsxPkvJumAcoXREZtoI554qak1Tg5y2SuOKcmkil3/AOBUo7fRq9HHhvw4GB+wLxLjmSYjp6FqQeGvDZ2/6CORJ0lmB/8AQq8r+2KPZ/h/mdX1SfdHnXb/AICKd6/VakuoVtrm9t1YskE0sSHO4lVcgZPrXbaV4c0RtPsZLm3E08sUMsshmlILSDcQu0gYHQcV21sXCjCM5bP/AIcxhSlNtLocOOo/3moHQf7pr0b/AIR3w6dg+wJwzAYeb9fmrmPEul2Onyae9nH5STxXCyJ5jN8yFSGCuTxyc1lRzCnWmqaTu/67lzw8oR5mZVkLM3lp9slMVt5kZldcjAGSMsOQM45rvnmuNRtpG0bWn82OaKMylxLGBwzKy7epFcBZwR3V1bW0k4gSZ1RpSAccE4G7jJ6DNd/o+mwabb3UNvdtcedcCQyFY/kbywgACce9YY+s6Uk4Talpp06l4ePMrNaFYWfjbj/ifxYyf+WPp/wGnNZ+M8nb4gQrtyN8IDZ98Lita1SeKCCO4nNxMgYPMUWMyHJ+YqvAqbt/wGuH+0cT/P8Al/kdPsIHN3aeMrO1urptcR1t4jKyrEAWCjJAJWqWja/czT3o1XWpYolWL7OS0cYLEtuwVTnjFbepR3EWia2s8/nube5ZXKKhCNkqmF4+UcZ9q5nw9pFjqcV01w8imGSNV8soMhgxOdyn0r0aOKnUoTlVk91qjmnDlqJRRL4kn0W6htp7a++1XvmiJyZWdvs4VzyMBeDjt3rm/wAvuiur1fQdM0+ya5hkmaQSIgEjRlcMcHhVBrLg0TVrtoY47K4QTBdkskMiQgEbgWfbjBrvwVSMqfuty13e5z1ovm1ViTSdEOsR3Ey3fkPBMsLDyd+/cgYHIdfxqMWEAul0kM4vP7SNqbklfs+zG7cIcbs4/wBuoLPVNV0o3EVrKiCWRWlWSJZAXQbMjNKL6Uut3tH9ofbjdfasn75HTyf9Xjt0pqNdTm7+7bT1FenyrTXqamraM+mJbzJN50MhMT7kCsj7dwOQcEHntU9zoUEUixebdcrckxNHEbi4WGMSbrVVbB3fdGccjvWdfanf6iYftMieXEGKRxRhV3kbS5PJz+NNk1G7bEknlSGOWW5RZYldA8o+YYPbvjPXmnhlOMEqurHNxb93YZqNu1nKbPzJGjiaGRFlGxl8yNXw6ZwGGcH6VEfw7025nmuGM8zl5ZXVnYjqcdgOMdhTv89K2fkZ9R89x5riRkiRvLRNsKBQQvAOBUP7x+uFX9TQP9af90dqfn3/AEo+HYN9xAqqOMfXvTtz7Cm9vL3btmTt3HAzjpSf56Uf/W7UnruMOPbrSenTvS5/nTfT8aQAcY7dBUYwzO/oQq/1NPY/K3P8B7U1fuj/AID2pgB7f7x6UOYy7eWpCfNtDckDJwCf50pDAKxVtrMwVsHBI64NNG48KGOFJOBnAzjJxU6bj8iKPZvl3k7cE8cZIB2jPoTjNSxXU9hdw3lttMkUhVBKpKsHUrhgCPX1qFoz8xDsMgcAU2SJlDCRnG05IYYIxwetVKMZO0tn0JTaWhf1rWL/AFJreG5igiSB5JFWHJ3ScxsWYk9MEf407Stf1LTrWW2hhtpIkDuhlDBleQ5x8rDPQ/402Pw34inSGZbZSsiB18yeJW2kZGQTml/4RbxKMkW0YyhBxcwjIPbg1xN4T2XsnKOnn/wTZe15+ezM1pZLiS4upmBluZGmfYNql2JOB6DNMlx5iYyQJiAeelPmtLq0luLa4DxTQFFdMhh8wDAgqcEEc1pQ22nCz1QHULgjz9OLFrE5Uh5cADze/Ofp+XZFRunF6W0MtXo0Z8MTzzW8CY3zyrCmem6Rggz+dXbTT7O71COwF4Iz5lzCzmJsP5blY/KBJO5u+cAYqk21JC0Du6RsSkpQxnIIIbbk4wferi6zqC3MV2I7JriNHZW+xw8yOQWlYKBlz6/48r3b3b2K8h0GjC706W8DXHmpHd3CMkataxC1AJiuHJ3BnH3eP/rZCEMFYDqx/D2q9/aF0sV/BGsESXjj7R5MKI5UkExKR0Tgcf41QX78v/XX/wBlq3ZrQkXsPo1Iehxj7o6jj8qX0+jUh7/7oqANie/02Se41NWvF1J1jMEJUeVaXS7cTRTbs7Fwdq7O+OgrFcmVmaQl2d3d2Y5LMxySSecmlPf/AHhSdx9Wp3YEHlunMbcbTlW6UCUZKuCrYXr0/Opew/3TUU/+rb/gH86ad9GTtsSHqf8AeFJ6f8Co/wAR/KkyBjP+1UFB2/4BUU3+rl+i1J2/4DUc3+rk+i047iex7V4c/wCQFoH/AGDbT/0AVs1jeHP+QDoP/YOtf/QBWzXezVbGXr3/ACB9c/7B17/6JavELf8A1Uf1avb9e/5BGuf9g69/9EtXhkMe5EO9hkngdKyrbIzluWew/wB00vr9FqHyv+mj/dPel8nr+8foveuay7iuybv/AMCpR2/4FUPlc/6x/vetKIun7x/4u9Fl3DUl/wDiKv6asqzXF1DKYp9PtnvoTsV1Z0Kx7GDdiGOazPK4/wBY/wB31q7p6TGW6toFkln1C2axgUMqgSSOkm9i3YBTmlJQcXzvTqNN30NlfFmvB1LfZGUSbivksM8dMh80n/CWeIAMg2gwJMfuDxn6vVP/AIRLxTn/AFEP3yP+PuPr+dH/AAifikjAt4eVfH+lxf415ns8u7x+86ObEdmQajA1reXsRkaZlKyvIwCl3lRZmOF46k1rf23rOktJpkEsMkFlIIImmgBfYvQEqwHH0rG1Nvtl7ezfvYi+yNo3I3I8UawsDtJHUGr8uia9qss2pWlsBbXkgmg864jRzG3AJXPfGa7a0cO4r2rVul/0+RnF1LvlvcuHxZrp2Y+yAgtuPkk7ie/LVVvrm91O1i1C7lQtBO1jFFFEEUK8fnM5OSc8AUweFPFPH+jw/eI/4+o/8abc299pdnFp99AUlubs3sTrIkkbRpCYSuVOc5I7VlRhhFP901zeQ5Sqte/exDaWkl9c29nG0aPOyqGl5QYBY8DknjgV6BomlzaTbS28skMha680NBGY+CoGG3EknivPba3uLu4gt7dQZ5WUR/MUCEAtvLDkYru9Gs7nS7O8TVZ4R5l0GDPcM6BGjVNpeXHXmuLM27KKl20+/U3wy1vb5m0VWRCh5VxIrYbHDDBwRTLeCO2ght4gwihhEaBnLsFXgZZuTVa1m0S1hgtoLuzWGEFIl+1RsQPTLMTUz3mnRko93aI4TlXnjVhnkZBOa8TlaX9eR3XRX1vB0fWcH/lyl7jstchoWj/2rFcH7Q8PkSRqQqB928MefmHTFdDqL6Nb6NrMFrcWn7yC4kEa3KOzSyku20FieSelc5oVjql5FObK8FuI5IxIPMlTeWDEH5PTmvYwjcMPNp8uq1OOtZ1FpcuapoH9m2Zuvtck211TY0YUHecZzuNdJplu/l6Okk2pNDZ2i3qXvnRLZsJAC0DAZJC9Bnpiua1PTdYtbTzru/E8IkVTH5szZZjgHDjHFYgd9pTe2wrgqHbbjPTGcV6mDqNwu5c3mc9S0ZaKw+YRu820NsMrlMkEhSxI5qAqUCqc5MuR9MVLxz06jvTXXcvGMgkjmuuLMGiX069DSP8Acfr931pqMGVTx0Oee9K+Nj9Pu+tJbj6DW/1cfXqvf2qb86gb/Vx9Oq96m49vzpyEho/1rdfujvUnPvUIx5rdPujvUmV/2fzpMEO596upYNJJosaOxbUUDnj/AFY854jj1wFzVDI/2fzqyb+c29vb4twLcYgmVQtzGu8vtWYHdjJNJeZQl3bSWs7ROrgELLFvwGaKQbkZh6kdR2/Cq/PHB71JcXU11Iss8gd1jihBJ52RrtH/ANeocr6r370eggbO1uv3DSD7q9eifypGI2t937h70i/dXp0Xv7UdAHoksrRxIru7PtjRRkkk5wP1NWmNha/ujEbuXaRPIs7xwg5B8uMIOQMdfUcdMlYWaLTr2WPCyPdwWrOPveS8cjsgPbOBn8uh5oenToe9KysO5aM+n4P/ABLT0H/L5cVHcT2Lx3GLDDFHAb7VMdrEE7tpGOpzUB79Og70yTG2TPTBzg84xzin1uLoeo2ufs1l1/494v8A0WKk5x0b7hqO3x9ntNv3fJj25bnbsGM4p/OO33D3718RJ6/15Hto4LXZLZNb1gT2pnJ+wlT58sW0fZ04/d1RF3ZBZIxp2EldDIovJwGKEspOB6kn8ateJDH/AG1qGwEMI7PzcnILeUpyvtjFZB69vvetfXYf+FB+S/I8io/ffqWhPpeQG0whSTuKXs+/bnJ2lgR/So7m2Nv5c0MhltJ0YQTbQN2OWilXnDr/ABD8RkHNV/T/AIFVzT3ZmubZsNbz2d08kbcqXhgkljcejKRwfqOhreyejW5F2UT/ABdTkqTn1NRr9+X/AK6f+y089/8AgNMUgPL0/wBZ/wCy1S2ZIvp9DSNwGPooNGRxyPut3pCRgjI5Ud6kZrppunJrEumXd1MkfmQxxzp5CKGeNZC0pmYAAZ7f1rNuoRb3V1ABKBDcTRDzlCS4Rio3qpIB/Grsmt3ckpmlt9KkkIRHaSyhYy7du1pCeSwwMGs+aeW4nmuJ5N800sksrnA3OxyTgcVTt0GRdh/umop/9W3/AAD+dSZGByPunvUc5Hlvz/c/nSjuiXsSen+8v8qac5UjHBbr9KX0/wB4fyo9P+BVLV9GUtBgzg59CfzNNm/1cn0Wn9v+AUyb/VyfRacd0S9j2nw7/wAgLQf+wdaf+gCtmsbw5/yAtB/7B1r/AOgCtmu9mq2MvXf+QRrn/YOvf/RLV4fB/qo/q1e4a7/yCNc/7B17/wCiWrxCAZij+rVjW2RnLclIZcBhjKE9Qe+MHFL6/RaTk7csThMDJJwB25pfX6LXIr21G/IUZLADH3u5AAAGSSTSjIOCMEFgR9KToQQSCG4IODSqAMY/2qNb+QdBe3/Aa0NHu7ey1SwubjAgSXbI7KW8sPGy7wF54rP7f8BpfX/gNKpBVIOD2asEXytNHpqeIPDbyIi6lbbml4yXUcj1YAfrTf8AhIvDSkA6nbgr5gOBIec9iFrhrQaQLOeS9Sd5TfRQobaZUmiiMTs0gjcFWGQBzj6iqk6W8cu22neaHblXkiML887WQk8j2JFeV/Y9Lfmf4HX9al2FuZY7i5vZ4wFjmnmkjAXZhGckHaemetdvpXiDQY9N0+Oe7gt5ooII5YSki7GjG04ABGO/WuD7f8BFWbJLWS8tI7yRo7V541ndeCqH3wfp0rtr4OFeEabdrf8ADGNOq4NtdT0M+IPDqiJm1K2w5dlwWJwOOQBkfjXIeK9R0+/n0prKdZlt4bjzWRXCqXdCBlgOeDTdRt9Djt0+zMIr+Mo00UN0b23fe7rsSbaBuUAMee+OorGK7lwc4Kms8Pl9PD1FUTbsVUrynHlZNFI8MkU0TujxNHIjRnawIPY8/wAq6O61/SL6MQXenX8sQeNijX4CsychmCoMmuU8ogH94/RaXyzk/vX+8K9B04N8ztf0MFKSVkbwuvCPH/Eiue/W+6e/3aPtXhLqdDuj8ve+JP8A6DWGI24/eP1NL5bY/wBY/wB2rv5iu+xum78JYb/iRXHY/wDH6f57asWHiLQNPR0tdKvI/McM+bzeSRnHLJ2zXN+W3P7x/wCGlEIz95vvegoahNcs9V6BzSTujcvfEUd7Nbq0Uv8AZ6PE81rKyu0pRyx/eqoIz0rOu7qymubiS2hFvbuQYoeW8tcAYz+tUCMEhdxxnPFADY6N0HanClCCtBWRMpye5dz15HUdqdnp06ntUUTFl75BAPFSZPv19Ki1ihikI+3IwwJHHenuRsfp930psgJXIzleRxQW3RE88r6VW9mLyBj+7j6dV7VNn6flUDH93H97qvapc/735UMEXNHwdYsAdpBkXIK5B4PY16D5cP8Ach/79r/hXnujE/2zp/3v9Yvb/ZNei5Pq/wCQr5/NW/ax9Dvwvwv1GeXD/ch/79r/AIUeXD/zzi7f8s1/wp/P+309BRzz97t2ryrv+v8Ahzsshnlw/wDPOLr/AM81/wAKPLh/55w9/wDlmv8AhT+f9r73pRk8fe79qV3/AF/w4WRi+I0jXR7whYgf3PKoAf8AWDuBXDKflXp0Xt7V3fiQn+x7373/ACw7f9NFrhFJ2r97ovb2r6HLHeg/X9Eedifj+ReX/kFXJyP+QnbDp/0wmqhnp06HtV5Cf7Kuhz/yE7U9P+mE1UOffoe1emzmAnr06DtUcp/dzdPunt/smnknB69B2prc7gc4JweOxFID1G1P+jWX3f8AURdv+mYqTPH8P3D2rziLWdehjiiTUZwkQ2IGSFiFUYAyy5/Wnv4g8QuQRfyINmNqRQgcd+Vr52WV1r6Nfj/kegsVBLYPEX/Ic1Xp0su3/TulZXft970p80s88s89xLJLNKUaSR8ZOAFA4GOKYevf71e7Sg4QjF9Ejhk+aTYnp0/i7Vb03/j6PT/jx1D/ANJJap88df4qt6b/AMfR6/8AHlqP/pJLWq3JKXr/AMBrf8HKrapfBlRh5B4ZQw+8nrXP9u/8FdD4Nz/al9/1wP8A6ElceOdsPP5fmjWj/ER24ihwv7qH7j/8sl/woMUOD+6h/wBWn/LJfX6UoLYXr9ySglsN1/1afzr4fndv67Hs2Qhihy37qH/WJ/yyX0+lAihyv7qD78n/ACyX/CnHOW+9/rE/lQCcr9778lPnd/67hYZ5UOB+6g/1bf8ALJfX6VxvjpEWHTNqxrlpM7EC54Triu0ydo+9/qm/nXGeOyfK0zOesnX6JXdlc74qmvP9GYYlfupf11OS/wAR/Kk9P+BUv+I/lSen/Aq+zPIE7f8AAajm/wBXL9FqTt/wCo5v9XJ9Fpx3E9j2nw7/AMgHQf8AsHWn/oArZrG8O/8AIC0H/sHWv/oArZrvZqtjL13/AJBGuf8AYOvf/RLV4hb/AOqj+rV7frxxo+uH0029P/kFq8hTSZ4FjjnvNMilCq7RyXWHQSIJFDAKRnBHesa2yIluS2unQz6feXbX1pFJB5IWKR5Aw3s4IcCMjLY+Tn64rP8AX6LV0WBAI/tLScFeQLtsHHTI2Uf2eOT/AGjpPQf8vZ/+IrmsBUG3cN3Tdz19OM45oH44y2M9cVLcQTW0728mxpFMZzE29GEiLIpVh2IINRDt25aptqHQP/iad6/8Bpvb/gNKSB1IHK9aoRoWd1Zpb3dneRXBguJ4J/MtHjWZXhDgKRKNpU7jxxzzTL66S7mieONkjhtYLSISMHkZIF2BpGUAFj34/lVPcmfvL949xTh26dDTuAvb/gIqxZ3LWd5a3YjWQ288cux+jbe3+FV+3b7oo9enUUgNKW709bWe1sorv/SriGed72SJyhh3kLEIlHJ3HLH8uarW9pf3YkNra3EyxK3mNFGzKCOcZHGfbrVcHkdOprptK8QW2jWNvbXtpOPNEt1bvAsbCWGRiodsuDnII/AVhiKlSEL0o8zNKajJ2k7I5whhvUqysp2srgqysDghlbnNPZizA7QADjAP4/8A6q12gstRn1fUL6drCN5rOaJdiyF4rlGkUNtOAzKvHOMnmqN/bW9u1o1u0phu7aK7RbgIJow7Mu2Tyzt7ZHsa1jFtKUlZkvS6RVHb6t3pe3f7vrSDt06tQPw+7VEj/X/gPeuk0nw5Ff2IuprmVHnkcQiHyysSqSoLBskk9xxXNcc/d7Vatda1Gxhmt7Wd1hd2biNX8pm5YxswOM1z4mFWcLUXZ3/ruaU5RT99FjS7K31C/i07a8DxLdNdXEcpc3BhO35Y5BtXP41PrGkjTbm2jhlZ4rqPKCUrujYOEIJXGRyO1UILi+tTYXMNsLWT5hBcrFJvvA4yd5kLK2evAovbu9vLh5LyQtMiBAjL5YiXO7aqADFOUKvt0+b3bbf0v1BOPJa2pcisdNfVJNPt1vj9ka8F60rx5m+zKTmFAoYFjwAc9R+FW5t5rS4mtpR+8hfYxBIB4zkZ5qG6fW7xoYLmK5lkjUyRo1uwlZeAZG2oGboOTnp1p0slxLLJJchhcO5aYSqUfeeu5SB/Ku2a6mSYg+h6HvULfJ5iYOGGV56VIP8AgPQ0yVQVz8uVGfwqIvXUGK3+ri4PVe9SnoeD0PeoGx5cf3eq96lOMN93oe9EgRqz3MVlr8NzKr+XFFYOwTGSPssfQcVu/wDCXaP/AM8rz/vlP/iq5zVsfbpMhf8Aj3sv/SaKqGF9ErmxGFpV5c090awqyp3UTsv+Eu0f/nlef98p/wDFUf8ACXaNz+6vP++U/wDiq47C+iUny+iVz/2dQ7P7zT6xUOy/4S7Rv+eV51/up/8AFUf8Jfo3/PK97/wp/wDFVxuF9E60mF9E70f2dh+z+/8A4AfWKh0eseItMv8AT7i1hS6EsnllTIqhflcMckMaw5UB03SCd4/e6h0P+3FVfC+idKuTMVstIZSoKzX5B54IeL0rro0o0IONP1MpydR3kIkQ/si6GX/5CtrnnniCbiqHlLxy/Q/xVoqc6Vdk7cnU7T17W8w71R44+70Nbc0rK5DSIzEvPL9B/FSGFfV+o/iqQ45+70FIcZP3eopczFZEflLxy/U/xU3yl9X+6f4ql44+71NN4x/D900czCyIzCvPzP8Aw/xUnkrn7z/e9akOOenajjPb71HMwsiLyV45f+LvVvTYlF0xy/8Ax46j3/6dJqr8cdP4quabxdZGMiz1A+vS0lNCkwSRBpkSjUtJOWOL6yyCf+mq8Grui6rZ6PqepzXSzFXkuI1EIBbPnZ5BI44qvppLanpJOP8Aj9sVHU4AkUd+arTgG4ueB/x8z9f99qznFVabhU6lJ8kuaJ2P/Ca6Fhf3V9wrj7id/wDgVB8a6Fg/ur77ij/Vp2/4FXEYXjgdG7UELzwPujtXnf2Vhez+86PrVXyO3PjbQcn91fffU/cTt/wKgeNtByv7q++8x+4nf/gVcOQvPA6jtSYXI4HU9hR/ZeG7P7xfWap2/wDwm2hYH7u/+4y/cT/4que8Ta7YazHZrapcKYCxbzlUZ3BQMbSfSsjC+g+6ewpCBzwOi9q0o5dh6M1UgndefyJnXqTi4su6lxPa/wDYP0r/ANJI6pen1ar2p/6+2/7B+l/+kkdUOBj6tXe9zETt/wABqOb/AFcn0WpOMf8AAaZN/q5PotEdxPY9o8O/8gLQf+wdaf8AoArZrG8O/wDIC0H/ALB1r/6AK2a72arYytf/AOQNr3/YMvv/AEQ1eTax/wAhK4/3LP8A9JIa9Z8Qf8gbXv8AsGX3/ohq8m1j/kJXP+5Z/wDpJDWNbZES3KHYf7pob7rf7ooHQf7pobO1v90VyiL+q5+3uR/zwsOoBBBs4Rgg1SGc8nqWJP15q7qv/H9J/wBcdP8A/SOGqY7f8Cpta3GbPh3QbPWYtQnvJrlRBIsMS27Kv8O4liyn2rftfDuiW8lyLPUL0OpSKfa9rLtI+bafMhYAjPNZvhdrlNF8TNbBjOpkMWzqHEHGKueD5rWWwSAEfaInlM65y5Z2LbznnmvJpKricXUp+1cUtkjrShClGXLdsuXulNa25uYNQu2aG4tsrPFYtHJGZkVlYLADyD61xV2FW6vFQBVW5uVVR0CiRgAM16Fq7+RpWoSOGKQtDKdvcJIjkDPfivPRm8uZWRo4/PkuJg1zIkSAMxfDO525/GujBSqfvIVZczjK1zOuoprlVroh7f8AARVi1Tzbq2j8h7jfPGvkRsUebJ+4rjoT61Je6dd6eIRcmDMyB0WKeOV9nBDMqHIB7ZqG3muLe4t5rff9ojmiMGxd7GQnAULznPTGK79tznNWeXSWstXFlpk0Si5tEjuZJTOVAdztkDH5SwB6Zzir3hvSNK1XTvPv1kuJopZ7dA00oWGJCHVFVGGBkk/jWbftqsMAjm0pNPt7mVHkMFvJGszqGKK7MzYxyQuR9KzrfTb68EzWltdyiMMZGgViisADjPTPTjOa5sQvbU7Qqcvmvy0aNYPlldxv5GlIumQXviDTbmaaNBJbR2dw0RuXhjg58kqSGxggAj+6O1V7+Wyd7VLTcUt7aK3eZohE1xIhYmUxgnHBA5OeKy2Mm90m8xbhGKkygh9wOCr7uc1p2mm6tdzRQC1njll3FDcI8MbhV3Ha7jFdHwU05PZav9TK/M7JFYHpz3PajPA5xxjkcda0l0TViiSCNNrWs14P3oz5MeAxx689Kin0rVIHETW00jGCOY/Z1aYKkmdu4oODwazjVhN8sXqU4tatFJztDZPRQSMcjPY113h7V9F0/SraC7voYpvOnleMo7HaznGdqntXGOxbcq5CLgO39KuQ2lncBCs2oF9ilkhsBLs7dRMDj3wKmvhY16ahUdtbjhVcJXijR0WeHTtUhvr2RYbGaO9+zOxVwof5lHlxlmXj1Aqxr+o6Zf3dg9nMswhhCzSqjADMgYJ8wByOT+NY8lhYQANLcalGGzgyaaqZx1xunqS2t9NkLrFdahI2AdqaerHA74WcmqlhoOosQnqlbyBVJcvs7Gzf6pa3d5by2OoxW/kX1/cE38t48cr749o3JyInAGFwMEEdxWRf3MFxqV/LDK0kcsgkEjb23SFF8woZPm25ztz2xSzWFio3vPqUeSBl9N2gnrjLTAZrNjOJON2AWwSMEj6V18ynHQyd09S1n37elBPB57elbqeFtZdEbfbruQNgyNkZ5wcLiqmo6LqOmQpNcGNo3fywYmJIYgkZDAehrhjiaUpcqlqbOnNK7RkMf3cXPde1PmYqhw2CeM7ajYnyovvdV9KdPkqB83LV19UYmjqyub+TEjcwWPAXP/LrFVHy5/70n/ftq2rO4S51/TpkWQKXtUw4Gcx26xHp7jiu8/Bu/pXnYvHPDz5eW9zppUFUTdzyny5v70n/AH7ajyp/70nb/lm1erfg3T0FHrw/b0rj/td/yf19xt9TXc8p8qb+9J1/55tSeVN/ek7/APLNq9X/AAfr7Uf999/Sj+13/J/X3B9TXc8nMcw5LuBjqYyB+tW3LHT9KGSx+0akowuSfniHQV2niTP9j3f3/vW/p/z1WuE89XtrWBfMEltPeM54wRMyEY/I5r0sLiXiKbnaxzVKapysW0z/AGTdk8H+1LUEEf8ATCbtVHPv2ParqZ/sm76/8hS0xgAYAt5hgAVQ5/2uhro1srmbFz157DtSE4yc8A5PFHP+10FMkzsk+990/wAqANOPRNemjiljsJCki70LPApKsMg7WcGnv4f8QqcCyLfIDlJYMc845cGu/tf+Pay5f/j3h9P+eYqTt1f7h9K+almldPZfc/8AM9FYWFup5TPFPbzTW9xG0U8RVZEcDIJAYEFSRgg5HNR59/4vStbxH/yG9T+90s+v/XBKye/8X3q+gozc6cZvqkcE1yyaEz059e1W9NP+lH/ry1Ht/wBOktVPTr3q3pufteQTxZ6gR9RaS1qtySHTmYatoq5IBvrInjB/1q8c1BPFKbi6xI5/0mc4VSf429KdbziHUdMuZNxWCa3lYIADtjYNhRwPpXSeE2D6tqD/ADAPDM6jjOGmVsVlXrOjR57aoqEFOXKcp5Nxx80vQ/wNSeTPz80nQfwNXsAAwv3vuP6UhC4br/q07D1rwv7clb4Px/4B2fUV/MeQGG45+aXqP4GpPJn4+aXqf4Gr2EgZPX/WJ6elAAyvX78npR/bkr29n+Pn6D+or+Y8d8mfj5pfun+BqaYpgDl3HA+8pH869jwuB1/1TenrXI+NcbdK5PWb0/upW2FzeVerGnyWv5+V+xnUwihFyuctqRcXlqpYkHTNLPPqLSOq3QqcAj5vT0x3qS9nS4u7d0DAJZ2cB3AA7oYFiYjHbI4qP0+rV7k0mca0G88k45BPHAGTnApk3+rk+i/zp/b/AIDTJv8AVy/RaUd0D2PaPDv/ACAtB/7B1p/6AK2axvDv/IC0H/sHWn/oArZrvZqtjK1//kDa9/2Db7/0Q1eTawMajcD0jsx/5KQ16zr/APyBte/7Bl9/6IavJtY/5CVx/wBc7P8A9JIaxrfCiJbla2tby7cQ2sEs8vls+yFS7bR1OB2qa803ULGCGW8gaD7Q0yRxygrJ+6C5Yqe3zDH0pun3EVpcxXEguiI0cp9knFvKHPAIdkYY65GKlv5LCS2tRZyXSxh7kvZ3UomMDHZ+9SRVUYfuMcba5tLAGqkC+k/646f/AOkcNUh2/wCBVe1QkagzDtDYdyODZwjquD+tUR1+pbp0pO9wN/wxrWlaXDqcF/JLG00qyxFY5HUjbtP+rB54qy918PHuXug9xHKxVm8hLyJWPfKoo6965c7cZO3AXqccfnVlLC/lTzY7G6eLgh0tpCuPUHbXmVsBQdR1pTcW+zS/Q6IV6ijyJJ2On1jxJ4fudJv7OzlmeWZBFEnkzKByOSZABgY9a5rTZxaXNtOzyR+UrEPFDBO6tjgrHP8AJVbCgkYAZWIIIwVPoQeas2KJJcwo0cEqsHBS4leFDx1Dx/Nn0wD9DXXhcNDDRcad9XfX/gGVSpKo7yLGpXlvd7HjkmkkyzyvPa2duzFh1LW3zE/U1DpVxPHf29zDbecLQvdyKWVcwwoWkKluMgZIqTUYtJiIFhNcSHDLOsqHyo3H8MUrKrt+MYqHSEglu7KG4mMME84gnZWZC0b5UxllIIDdD9a6KvL7OTmrq2voQr8ysb2reI7fWLCe2s7K4zE6Xc7ztGAkKOq5UKSScsoo0fxDbaPYQW99Z3IM3m3Nu9v5Z8yF3KbnDMDkFSPwqxr+j6Jpun+dZItvO86QgRzSnz4mO4oysxyOAfwo8P6NouqWAmvQbmeKSWHa80yi3jX5ljVUYcclvxrxVPBvCX5Xy38r3/I67Vfa7q9jm9Vla81CeWSNbVL2SGeN5mBEcMyKUdyme2Ca1knkt9as7+0v9Pv5ri4eNrWGacKiPGxZtzLwAB6Z7Y5qu0VvFrwt4ZS9vBexwwuym6KJHgKgVs7tvQfT2rdu5V/tTw3unkZBqBkYSab9lTKwud/mFQc+3+FdGIrWhGnBe647eVn5P80Z04auT3uaMdnqBt4AptCv9mXFmGMk6/63DeZtKZ4x0rnJriaXWVuLi+sbEaemntBHNJOFuokXzFcYUNz3BAxnFd2jROkcqshRgZFbBGVYbgeea51JlfU9ZlhucRyRacytHYNdhlMOQSQMj/69eRhcROMnLS9v1Xk/yOyrTTSRw00a/aZ40kjliSVsSQlvLkBOdylsHmup8H/8f19x/wAuy/xY/wCWgrH1dt2pXxL7zvT5mgMBOEUY8o9P8nvWv4Pwb6++7xbJ1H/TQV7mMm54Rt9l+hw0Y8tWxZ8af6jTOP47r+LPZKzPB3/ITl4/5dJf4sd1rS8a48jTOU+/ddPolZfg7H9py8r/AMekvUH1Wuaj/wAix+j/ADNJ/wC8o6Pxb/yDYP8Ar9i/i/2Hrz+IEyAAZJLAAHkk9hXfeLcf2dDynN7D0B/uPXCwRyC4tiGT/j4h9c/fFdGVNfV/myMV/EPSk1jRQkYa8gVggVleQq6sBgqykZBFY/iW/sLuwSO1njmZJ45JPKcsETaygsRwOSAK5O/Ev27Uv3iD/Tbzr/12b2qS2VjYa2HdSuzT87f+vg8GlSyynSmpqW3p/kOWJlJONiNrW9FtHMbS58oKkhkMUnlhD0YtjGPfNRzfdXj+MfxV197PqMVlK8v2FTbx3EU0nnX2I7qe2VWiW3I2PlcbcfKpya4x2BjjPy8la9ZqzRzNWNjRf+QtpfH/AC8D+L/ZNejY9h/33XmNhcx2l7Z3LgMkModlUfMRgjjNdV/wl2m/8+0/5R9v+BV89mNCpUqJwjfQ7sPUjGLUmdJj2H/fdGPYdv4q5v8A4S/Tf+faf16R/wDxVH/CX6b/AM+0/wCUf/xVeb9Ur/yP8Dp9tT7nSY9h1/vUY9h3/jrmv+Ev03/n1n/KP/4qj/hL9O/59Z/yj/8AiqPqdf8Akf4D9tT7lzxIP+JPd8D79v8Axf8ATVa88jyWlAXJL9N1dTq3iKy1CwntY4JEeQxMGcJtGxwxzg5rlI8bpTlch+MZr3supzp0ZRkrO/8AkefiJRlNNGomf7Iuxx/yFLTgMCP+PeY5yKofh2P8VXbeSzayura4ufJkkvILhWMDzKyxxyIc7DnPIpnkaZ/0E16H/lxuf8a9DWyuY+hU9eOw/ipHxtfPTBzg84x2q2YNM/6Ca9B/y43P+NMlh00RTFdSV2COVX7HOu4hTgbicDNNIR6bbAfZ7PaPl8mPbubnbsGM4qTBx0H3D/F71FakfZbL7n/HvF2P/PNakyMD7n3Ceh618FLlu/8AgeR7ivY898TeX/bV/sB3eXaeZk8b/JX7uO2MVj/gOvrW5ryWb63qpnu1tyPse0fZ5Zdw+zpzlDxWd5Gl/wDQUXr/AM+Nx/jX2mFX7mHojx6nxsp+nTv3q3pv/H0eOtnqIHPf7JLR9n0vj/iaL3/5cbj/ABqWD+zLZ3mGoeYwtrpERLOdCzywPEvzMcDkiumxBkMCJYcgfdB4IIII6gjiup8Hj/iZXXA/49W74/5aLXLuSZoiTk4AOeegrZ0LU4NKu5riaN5FeExARhSQSwbPzEelcmMhKeHcUru36l0Wo1L9D0cA4Xhfuv8AxUhBw3C/cX+L3rmh4y03j/RLj7rdo/8A4qkPjLTsH/RLj7qjpH6/71fI/UK9vgf4dj1fb0+50xByeF++v8XtQAcrwv33/irmj4z03J/0S4+8vaP/AOKpP+Ey07K/6JcfebPEff8A4FR9Qr3+B/h3D29PudJg4HC/6tu/vXI+NQcaVwBzN0OeyVZ/4TLTsD/RLn7hHSPr/wB9Vha/rVvq4sxDBJF9n3lvM287wo42n2rqwGCrU8RCcoNJenZmVatCVNpM54/69f8Ad/xqT0+rVGTmcew5qT0+rV9dLoeUhO3/AAGo5v8AVyfRak/+Jpk3+rk+i0o7g9j2fw7/AMgLQf8AsHWv/oArZrG8O/8AIC0H/sHWv/oArZrvZqtjK1//AJA2vf8AYNvv/RDV5PrH/ISuP9yz/wDSSGvWNf8A+QNr3/YNvv8A0Q1eT6x/yEbj/rnZ/wDpJDWNbYh7meOn/ATQ33W/3RR2/wCA0Ho/+6K5RGhqv/H9J/1×0/8A9I4apDt/wKrmq/8AH9J/1×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” 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Conclusion

High current PCB design is a critical aspect of many electronic applications, from power electronics to automotive systems and industrial equipment. Designing a high current PCB requires careful consideration of factors like current carrying capacity, thermal management, and component selection.

By understanding the basics of high current PCB design and following best practices, engineers can create reliable and efficient PCBs that meet the demands of their specific applications. As technology advances and the need for high current handling increases, the importance of high current PCB design will only continue to grow.

Frequently Asked Questions (FAQ)

  1. What is the minimum trace width for a high current PCB?
    The minimum trace width for a high current PCB depends on the expected current flow and the copper thickness. As a general rule, a trace width of 1 mm with a copper thickness of 1 oz can handle a current of 2.5 A. However, it is essential to consider other factors like temperature rise and voltage drop when determining the appropriate trace width.

  2. Can I use a two-layer PCB for high current applications?
    While it is possible to use a two-layer PCB for high current applications, it is not recommended. Two-layer PCBs have limited heat dissipation capabilities and are more susceptible to EMI. Using a four-layer PCB or more provides better heat dissipation, reduces EMI, and improves overall performance.

  3. What is the maximum current a PCB can handle?
    The maximum current a PCB can handle depends on various factors, such as the trace width, copper thickness, and the number of layers. With proper design and thermal management, a PCB can handle currents of 100 A or more. However, it is essential to consider the specific requirements of the application and design the PCB accordingly.

  4. How do I select the appropriate components for a high current PCB?
    When selecting components for a high current PCB, consider factors like current rating, voltage rating, power dissipation, and package size. Choose components with ratings that exceed the maximum expected current and voltage levels in the circuit. Use components with larger package sizes to improve heat dissipation and current handling capacity.

  5. What are some common thermal management techniques used in high current PCB design?
    Some common thermal management techniques used in high current PCB design include using thicker copper layers, incorporating thermal vias, using heat sinks and cooling fans, and selecting components with appropriate power ratings and thermal characteristics. These techniques help to dissipate heat and prevent overheating, ensuring the reliability and longevity of the PCB.