Physics-
General
Easy
Question
A metal rod of length
has cross sectional areas
and
as shown in figure. The ends are maintained at temperatures
and
. The temperature at middle point
is
![](data:image/png;base64,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)
The correct answer is: ![90 ℃](data:image/png;base64,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)
Let
be temperature of middle point
and in series rate of heat flow is same
![rightwards double arrow K open parentheses 2 A close parentheses open parentheses 100 minus theta close parentheses equals K A left parenthesis theta minus 70 right parenthesis](data:image/png;base64,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)
![rightwards double arrow 200 minus 2 theta equals theta minus 70 rightwards double arrow 3 theta equals 270 rightwards double arrow theta equals 90 ℃](data:image/png;base64,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)
Related Questions to study
physics-
The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar show in figure, what will be the temperature at the junction of copper ad steel?
![](data:image/png;base64,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)
The coefficient of thermal conductivity of copper is nine times that of steel. In the composite cylindrical bar show in figure, what will be the temperature at the junction of copper ad steel?
![](data:image/png;base64,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)
physics-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
Maths-
Which function is shown in graph?
![](data:image/png;base64,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)
Which function is shown in graph?
![](data:image/png;base64,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)
Maths-General
physics-
Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities
When points
are maintained at different temperature, no heat would flow through central rod, if
![](data:image/png;base64,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)
Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities
When points
are maintained at different temperature, no heat would flow through central rod, if
![](data:image/png;base64,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)
physics-General
physics-
If two metallic plates of equal thicknesses and thermal conductivities
and
are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be
![](data:image/png;base64,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)
If two metallic plates of equal thicknesses and thermal conductivities
and
are put together face to face and a common plate is constructed, then the equivalent thermal conductivity of this plate will be
![](data:image/png;base64,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)
physics-General
physics-
The graph, shown in the adjacent diagram, represents the variation of temperature
of two bodies,
and
having same surface area, with time (
) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.
![](data:image/png;base64,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)
The graph, shown in the adjacent diagram, represents the variation of temperature
of two bodies,
and
having same surface area, with time (
) due to the emission of radiation. Find the correct relation between the emissivity and absorptivity power of the two bodies.
![](data:image/png;base64,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)
physics-General
maths-
maths-General
maths-
Value of
is
Value of
is
maths-General
Maths-
What is
for two mutually exclusive sets A and B?
What is
for two mutually exclusive sets A and B?
Maths-General
Maths-
Which of the following is set representing neither A nor B?
![](data:image/png;base64,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)
Which of the following is set representing neither A nor B?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS8AAAGmCAYAAAAtYQLIAAAgAElEQVR4nOy9V3Rc13X//7n3Th9MQ+8AQYIkCAIEKwhQYq+WZEm2JMeyHSf+5eeVPPr3lIc8JSt5zEOenH/yW784si07VrFMi5IoNrABrGADSbCg944ZTL/l/4Ai0rItkRiUAc5Hi4taxODcPTPnfu8+++yzt2QYhoFAIBAkGfJCGyAQCATPgxAvgUCQlAjxEggESYkQL4FAkJQI8RIIBEmJEC+BQJCUCPESCARJiRAvgUCQlAjxEggESYkQL4FAkJQI8RIIBEmJEC+BQJCUPJt4iSPcAoHgD1kgXTA96y+ocZVgKEgoFCIejzNdlEKSpIQbJxAIFg9P3usmkwm73Y7T6cRitiyIPc8mXhIMjwzT2NhIW1sb0WgUXdeRZbH6FAiWA7quI0kSFouF/Px8Nm7cSEFBwYLY8syeV1dXF0ePHuX27ds4nU6sViuyLCPKggkESxtJkjAMnVgsTiAQYMWKFbhcruQRr97eXurr6+np6aG6uprUVB+SJKHrhhAwgWCJIknS1B/w+wPcvn2b3t5e9u7du2A2PbN4BYNBAoEAhYWFvPb662RnZSFJYBgI8RIIlijTMe1p8RodHeX+/fsEAoEFs+mZxQvA6XSybt06Dh06RG5OTqJtEggEi5iJiQkuXbpEb2/vgtrxXJH2mZ1F4WkJBMsOw5gMEU0vJReKZxavaWPD4TDj4+MJN0ggECxuxsfHCYVCMwK2UDx3joPI6xIIli+L4f6fVYLWYngDAoFgflks973ILhUIBEmJEC+BQJCUCPESCARJiRAvgUCQlAjxEggESYkQL4FAkJQI8RIIBEmJEC+BQJCUCPESCARJiRAvgUCQlAjxEggESYkQL4FAkJQI8RIIBEmJEC+BQJCUCPESCARJiRAvgUCQlAjxEggESYkQL4FAkJQI8RIIBEmJEC+BQJCUCPESCARJiRAvgUCQlAjxEggESYkQL4FAkJQI8RIIBEmJEC+BQJCUCPESCARJiRAvgUCQlJgW2gDB/KPrOoZhYBgGAJIkzWq86XFkWUaWxfNQMD8I8VpmBINBbt++TWdnJ+FwGACT6fmngaZpGIaBw+GgqKiINWvW4Ha7E2WuQPAnEeK1xNB1HVVV0XUd+MIrstvtALS1tfHb3/6Wuro6RkdHkSQJs9n83NeLx+MYhkFmZia7du3iW9/6Fhs3bgQgEok85d3JioKiKChLxDszMDAM0A3QdQPD0JEwkKa8Wn3qvT/xC0iyhCJPfhayrCyM4UsEIV5LjGvXrnHx4kXGxsaAp8XLarUyNjbGyMgIeXl5ZGRkALPzvFRVBcBisTAwMMBvf/tbTpw4gSRJBIPBp5aUGZmZbNy4ke3V1bN5i4sGPaYRHhshOtxOX3cbzd1j9PgjYMRRoxFCUZW49oSAWWxYPJk4vfnk5a+gtLSQlTkWnAv3FpIaIV5JSCwWIxDwo6rapEcjy5hMJvx+P6dOneKDDz5gYGDgqd+RZRlJkli/fj2vv/46mzdvxuVyJcymkZERrly5wueff05jY+Ok5zHl/U1fP7+ggJHhYdwuF7m5uei6Tjwen/H+nE4nFoslYTbNNbqqExkdIdR2m86rJ/js5C1O3h9mQpKRFRNmk4z8ZDjRbkH2ZiE5VpJfspUXd27nQG0plQVOPGaZ2UUelx9CvJKQq1ev8P5779E/MDgjXoqiIAF2h4MXX3zxS97UdIC+dFUpO3fuZMWKFQm1qaioCIfDgdlsZmXJSgzDQJKfvh3j8Tg9PT3867/+K7quzyxxFUUhNzeXgwcPsmfPnoTaNZfIJhmbx4OcX0LOWB65p+vR+/vot6witbKK7ZX5lGRYp24yFbQ+BgfauH63gcbjD+hqvktP614OHt7MtvI8ChwmcUM+A+KzWuQMDw/T1dWFqqpIkoSu65w+fZr6+gZGR0cx+EKYPB4P3//+93nzzTfJzs7+YhBj+i8DWZK/JCqJYs2aNaxevRpDNzAwkJCYdid0XaetrY1PPvmE999/n56enhnhBcjMzMRsNiPLMikpKcDkUjQzM5OsrKw5sXe2KBYTKdk5kOXDnhZmx+U73L4Pw2m72PDKd/nxm5vZucaNDYA4BO7Rducknx79Pe99dIsblx/zyegYAYsFw+XGvspHpknkL31dhHgtco5/9hn//c47BAKBmZSGdWVlvP3226SlpaHpOpqmoWkaVpuNjRs3kpubu2D2SpKEpHxZHGVZZuXKlRw4cIDs7Gz8gQAmRcFisaCqKqOjozQ3N/NP//RPRCIRAFJTU3nppZf4y7/8y5kNh0WJZMNid2C3WrGZzZgsDqwpbtxeL44ZJbKCp4KSTS5eNSTcoSC/PnqD+t5bNDZupGB1GSXpXjzpEov4nS4qhHgtMjRN48KFC7S2thKLxbh96xahUAjDMGbiQ+vWlfP9H/wAr9e70OY+E5IksXbtWtauXfulnw0NDfHhhx/y6NEjNG0yljcxMcHVa9eIqyqulBQKCgrYunVrQmN1iSFKPBIhGleJ6zqGFkUNTzDh9xPJmfa8ABSwrySv6gWO9DbRcf8hN68O0dXey8OOcQYnDOJCvL42QrwWCaqqYhgGDx484OfvvMOZujokSeKlb3yDv//7v8fj8czkZa0oXpF0wvVVpKWlcejQIdasWYNhGMiyzLjfz4ULF/jZf/0X4+PjbN++HZPJRE1NDZIkTcb5ZplgOydIMpI8lRbyx36u6cRVg0hcIqxCTDeQJDDJYsn4LAjxWgTcvXuXjz76iKGhISRJIq6qbNiwAVmWqd2xg8OHDy/OmzSBSJJEYWEhhYWFM/8WV1XMJhMjQ0MMDA5iGAbvvfceH330ET6fj4MHD7Jt27anBzJg4bbtDHQUdMWB1enF53Py5Qy6MMG2hzRcaeZSs59hPZvM3BxKCn1keiSsC2B1siLEa4EYGRmZycU6e/Ysv/3tb+np6aG8vJwf/vCHbNq0CcMwSE9PX/LC9acwm0zU1tSwsqSEcDjM3Xv3+J//+R8uX75MRkYGJpMJl8uF1WrF7XaTnpa+gMIlgSShGDGU8CDBvse03rfjy7dMeVMSoBEfesjNE5f5uGGEx1oRhVU7eHHXRnaVZ5Lvlv6I2An+FEK8FgBVVfnoo4/4+OOPURSFtLQ0ampqUBSF/Px8qqurKSkpWWgzFwUutxvX1HEjj9eL3+8nPz8fwzBob2/nn//5n4lGo+zcuZPvfve7pKenf/HL8+iFGZICsgW7Noa17wIPPx/kvx5nccylIE39p2lxwv5RWh+NMhRZSdYLm9j50h727aykqsCBb3k+o54bIV7zRDgc5u7duwwNDRGLxbhy5Qp3797FZDLxzVe+ybff+Dbp6ekoijKT+S54mvz8fF577TX279+P3+/n2LFjfPTRR4yNjeFwOEhLSyMzMxO3282qVatITU2dP+MkCZBRjDhKeJBAj0xLdJjhFCuyomMYMfSYn8BYkPZeG5IvgxW+HArzcynI8uC1Sn88Pib4kwjxmifu3bvH//2//5ebN29SUFBASUkJP/zhX6EoMpWVlaxZswaHwzGZ3LlMl4lfhSzLZGRkkJ6eTjweJxQKYbPZCAaDRCIRjh07Rm9vL8XFxfzFX/wFBw4cmDfbJEMHQyMmO1C9hWSv38LuyhWU5KRgMsXQDD9SpI9ATzs3r3Zxr/0h/dckLvhMKBYT6sYVrPDIOObN4uRHiNcco+s6Fy9epK6ujq6uLmKxGIZhsHHjRqqrtyNJEilOJw7H5LQVwvXVSJKExWKhsrKSvLw8VFXlwYMH9PX1MTExQV9fH2fqziDLMlu2bMHj8cy9UYYOukpcdhJ3l5FVdYCdL29ga6EDsxJH10NI6ijR4QdsX3GWE79v4NTNS5z6SKU7YiZsKHxjcw4lbqvwwL4mQrzmAF3XCQaDaJpGb28vn376Ke3t7dTW1uLz+fB4PFRVVVFYWLDQpiY1zidE3+FwEIlEqKraSCwWpbn5PkePHsVkMlFVVYUsy9jt9lkdQv/zGICOjgnN6sGWnkN6UQF5BVYskgHG5M8pLKDYZcMeCzIwXE9z0x0un8ogLSud0mwHmY5MPOKu/FqIj2kO6Orq4vTp0/T19WIYMDAwQElJCfv37ycnJwdFUfD5fAtt5pJg2lPNyspix44dhEJhgsEJAG7evMnnx49z/do1XC4XNbW1lJeXz7FB039kFFnGLDF1TGoyJoapAPOqrazd2cum5g6uPHrIvbZ7PGhaR3PNalYXpOFOUcQh7a+BEK8EMzAwQP3Fi3z22Wd0dXWSX5DPhg1VvPjCi6xfvx6bzfbVgwieGUmSntroiEajSJJE4/Xr1Dc04PN60afOf2ZnZ8+RByYBBpIeR4+GiQXDxDDzpW/clIdrVRlrVxdQnv6Ynq5RxocH6RsPMhbTMRDi9XUQ4pVARkZGOH3qFPUNDciyREZmJnl5k6kPlZWVQrjmkelM/fGxMSYmJrBYrTQ1NWEymdi7dy/FxcXzYscfFyEzimzFJZtIkSaz6o3plaXgayPEK0H09/dz6dIl6urq0HWd3bt3k+JykZ6eQWVF5UylBMH84HA4KC8vJxQKsaq0FIDGxkbOnTuHoiiYTCby8/MTdDUzsmJFkRRkSQbFgmx3Yk1x/fGMeXWY8cctdLZ20RVQCdl9pKfl4PX4SLGIul5fFyFes2C6kUUkEuHq1avU1dURiUbZtm0bhw4dxufzoSiK8LgWCKvVypatW9mwYQOapiHLMmdOn+bSpUtYrVb27t1LWlraU6V5ng8NPa6iaiqqNvn/0VicQDRKQDPjnN5BNnR0dRT/w6s0njnPhRvNPIqaMBWspHD1WgqzM/HZxJLx6yLE6zmJxWK0trYyNrUsuXDhAgMDA2zfvp3du3dTULAIdxLnK+N8Qc8XPo3NasVmnfR/amtrMQyD48ePU1dXh8PhIC8vD4vFQlFR0TM3DtE00OIqFmmY8Ggnw/4hRv3jRNU++pvvc+062IcdpFsUZFlCj/oJDT6k9Wo95z+/QP39AULectZtraJmy2pKsxy4xR35tREf1XMQj8d58OABJ06coL29HVmWiUajbNxYxYEDB1i9evVCm/jHmYwno2oqmqbNlGmeTW7Zkw02TCYTJsW0aITrDykuLsbpdDI2NsbNmzc5derUzPGsPXv2sGXLlmdqRqKrBjF/ACPymOH2h3QEgoxiIE10MXy7jnPcZTDbQYbNhCzJaKEhAr2P6XzYSVuPSjStgg3b9/HioWp2VmaxwoM4mP0MCPF6RgzDoK2tjfPnz3PmzBna2tooLi7mwIEDHDx4kKKiogU2kD8rHuFImP7+fkZGRojFYgCzWjLpuoam6VitVjIyMsjIyJjJvXoe++aajIwMjhw5gsvl4ujR33H/fjO5ubnYbDa8Xi+lpaVffydSV9FC40T7exnpC+K3Z2NbaaMgDMRbGG5up7FVxjpVuVaLBdEjYSTNTlppJevXb2Hz7hpqtqxlVaYNh3kqeM+i1f9FhRCvZ0DTNFpbW/nss89obGwkIyODrKwsVqxYwc4Xd1I6FRhe0Nk3dd14PD5TIwzAZDajKArd3d2cO3eOpqammeqss+0eFIvF8fl8VFZWUF29jZUrVyFJ0lPiaDaZUUzKorgrS0pKMJvNDA0N4XK5sdvt3L17l1gsxje/+QplZeu+ljcqKxJmmwXdnoUrfwvrd6/GURElHg1OpkrEVKJxDX2qTLdhGJjMVjwpGeQWrSO/bAOrVudR4IPkaTuyeBDi9Qy0t7dz9uxZ6uvrSUlJ4Y033qC0tBSbzfZ00ukC36CRSISOjg4GBwdn+ipabTbMZjMtjx9z7dq1hIiXJEnE43GiMRWf10ssFsVkUhgdG0eW5ZnWZ067nYzMTHJycv68VzaP5Obm8r3vfY9QKMTY2Bg/+9nPaGhowO12Y7c7KC4u/koBU8wKttR0LC4XtqJyslWDuG6AoWJoGppuoOlfdCYHkGQFk8mC1ebAandgs/Kl40CLQN+TAiFeX5O+vr6ZQK/X6+Xw4cPU1NQ8nQKxQB6Xqk7GsKYbWAwNDfH5559TX19PcGIy2xxJQtN1fF4veXl5HDx4cCbmpSjPd5pOkiRUdbJ+PkAoFOTkyVO89977k4dldB1d08hIT2PbtmoOHjrEypUrgUnPcLrr0UKgKMpTjT36+/s5fvw4J0+dIhgK8723v/vVvQAkCdliQbZYMMHsyjeLteIzI8Tra9DV2cXZc2epb6jHZDJx6NAhXn755S/feAsw+SYmJrh79y49PT0oikJKSgrd3d00NTXR2dlJKBhEkiQi0SjhSITt1dXs2bOH6urqhKZwjI+Pc+XKlafq0NtsNnRdZ2IigN3hwGqz0dLSQjweR9d1srKyWLVq1aI4KnXw4EE8Hi8//fd/p/7iRTLS09i/f38Cc8G+AiFcz4wQr69geHiYuro6jv7+KE6nk9ffeJ1t27YtiMdgGMbMLuF0c9aOjg5+85vfUF9fTyQSwWw2TxY33L6dF198ceZ3VVUlrqoU5OezadOmZ04L+CoyMjLYunUrjqm+kYZhYDabMQyDWDxGd1c3x44do7OzE13XcblcbNmyhbfeeostW7YAXxzpMZlMs8y7enZkebI00V/98Ie895vf8N5vfkMkEuF73/veImz4IQAhXn+W/v5+Tpw4wekzp7FYLOzZs4eXXnppwcrWjIyMcLaujo7OTqxWK3a7nb6+PoaGhnA6J5vGG4ZBZmYmu3fvZscLL8yrfRkZGezevftL/65pGg0NDQwMDNDX1wdM9mQcGBzk+PHj3Lx5E8MwCIfD5Obmsn37dvLy8ubVdgCn08GePbsJh4K8++67nDlzBpvNxuHDh5/ugylYFAjx+hOMjo7S0NDAsWPHMAyDt99+m+1T9bfmk1gsNtmFRlG4c+cOv/rVu1y9dn0mXlRaWspbb71FeXk5mqZhGAYpKSkUPdHIYqFRFIWqqioyMjJm6varmkZzczPHP/uMn/3sZzMdgyoq1mO1WsnOyUGRZWKx2IyXOV/seOEFvD4fP/3pT/n1r3+N1WLh9W99S5yUWGQI8foD4vE4/f39XLhwnosXLuJ0OtmxYwe7du1akOXDpUuX+PTTT4HJUtKpqam8MOVRGYbBunXr2LNnz/zFZp4Tp9P5peTd3NxcghMTM4mhylQT2pMnT3LhwgWsVivbt2/n8OHD82qrx+OhtraWzs7OmVLT4XCE17/1+qKIzwkmEeL1BxiGQXd3N8eOfcLjx4/5X//rb/jOd74z70/dSCRCb28vJ06c4N1330WWZWpqavjbv/1b1q1bN/M6s9k8s2RMNooKC/nrv/5rvve97wGTy8v79+/z85//nKNHjyJJEn6/n6ysLEpLS+f9cPtrr71GdnY2//Zv/8bvP/492TnZvPDCCzidzgXbJRV8gRCvP8BisSBJEsPDIwwODeNMcS7IcuHy5cu8++67hEIh3n77bTweD6tXr2bTpk3Y7Uujp7IkSTidzqfEd9OmTQSDQVauXMno6CjDw8P89Kc/5eDBg3z729+eV/usVitbt27lBz/4ASdPnuT9999ncHCQb3zjG6JJyiJAiNcf0NraSlNTEz6fl507d5Kamjav13706BGGYXD69GkePHjA4cOH+bu/+7tlU1LH4XBw6NAhDh06xOjoKB988AEffvghx48fx2KxYLPZKCoqmrfzow6Hg9dee42+vj7+5V/+BV3X530ZK/jjCPF6gr6+Pj7//HNOnDhBSUkJf/EX36WgYH5iSZFIhA8//JB33nkHwzBYtWoVb7/9Nnv37l02wvWH+Hw+Dh06hNls5vjx4/zDP/wDsizz6quv8uMf//irk0gTiCzLU0ehYjPJvYKFRYjXFG1tbXz66ac0NDTMbPlXVW2Y02sGAgE+++wz2tra0DSNlpYWfD4fZrOZzZs38+qrrz7dRHUZkp+fz0svvUQoFGJwcJBoNEprayv/8R//QUpKCjk5Oezdu3fOUxlKS0t58803GR4e5ne/+x0HDx5kxYoVc3pNwZ9n2YvXdIC+rq6O06dPk5aWxg9/+EMqKirm9LqhUIgrV67wzjvvcOvWLdxuN9/5znf40Y9+hN1ux+12z2/T1EWMz+fjtddeY/v27YRCIerr63nvvffo7e1lzZo1WCwWjhw5MqcbF9u3bye/oID/79//naNHj6IoCm+99RYul0u0q1sglp94/cEZsq6uLo4dO8alS5fIycnh8OHDbNy48ZnqOj0rqqry3nvvcf78ebxeLwcOHMBut7Njxw6qq6vn7LrJiizLZGdnz3hXFouF4eFhuru7kSSJ48ePMzAwwLe//e0vzism+Kyg3W6ndNUqXn75ZeLxOKdPnyYajfKtb32LnJycxF1I8LVZfuLFpLcVjUYZGBjg2rVr3LhxA4vFwiuvvMK+ffvm9Nqjo6M0Njby6aefEovF+MEPfsCmTZvQdV3kEH1N1q9fT1ZWFuFwmLa2Nn71q19x/PhxUlNT2b1796TIzZEztGvXLmw2G//5n//JhQsXyM/Pp6amBo/Hg9UqSgnOJ8tPvCSIx+L09PRQX1/PjRs3Js8C1tSwefPmOb/8mTNn+OijjzCZzRw5coSamhoyMzPn/LpLCZvNNlNmOzMzE7/fz+eff87Ro0fxB/z84Ps/mNN0koqKCt544w3q6uo4efIkIyMjHDhwYNEnCi815vf06yJBlmX8fj/Xr1/n6tWreL1edu/ejdfrnbNr+v1+zp49y8mTJ/H7/ezcuZOXXnpJCNcs8Xq97Nu3j4MHDwJw/tx5Pv30U7q7u+fsmg6Hgz179lBSUsL58+c5e/bsTOFFwfyx/DwvJqsXjI+PMzo6SiQSwWq1zmmwV9M0Ghsbeffdd5mYmODll19mz5498xuQN/TJ+lrGVDhIkpBkBVlK/mosPp+P2tpaYrEYJ0+e5KOPPiIWi/H6668DJLZKxVQszWKxkJKSQjQaZWRkBL/fj2EYIng/jyw78dJ1nfb2dm7cuIGqqmzbtu2p4zaJRlVVzp49y/HjxxkbG2Pr1q3s27dvfmvdhwcJdj/iQWc/rf0BJlQZw+EjNb+IgsJCVmS58CT5PZeTk8Pu3bsJhULU1dVx8eJFxsbGkCSJ9evXs3379oSX2Vm1ahV79uyhr6+Pc+fO4XA4Fm/zlSXIshEvwzCIxydjXTdu3ODx48fk5+ezf/9+qqqq5uSa4XCY5uZmPvnkE7q6uqipqWX//n0UzlfFB0PFiPgJtTZy5+pFzt54zI2WAYbDGiFbGqmrqqjavJ1dm9azoSAVj0NBSWIRy8nJYc+ePSiKQn19Pe+//z4wWUooOzubvLy82QfVn/h8Vq9ezXe/+12OHTvGzZs38fl8pKam4na7MZvNwgubY5aNeMViMTo7O7l29Sr3793D6/WxZctmqqqq5mz5duNGI59//jm9vb2UlZWxZ89uSktL529Sh4aYaLvBnWsNnLvezK3WQYZHRwkFx+n2P6T5YQfdD3qY6AkQfnETlWW5ZLrlpG4GUVRUxK5duwgEAoyMjKBpGn19fZw5c2bGy06IB2aA2+1m48aNjI2NUVdXR1NTEzarlaqNGykuLp5VYxPBV7NsPt1QKMSDBw84ffo0wWCQQ4eOsHnzljkRruks8FOnTnPv3n3Kyso4dOgQZWVrMZvnSxp0osO99Nxpoql5gK54Ou7iQkoqDMyRHjqbm7hx6zHdF4f5PKARUewYbjdb7G4yzMm7k6MoymQ3p507SUtLQ1VV7t27x7Fjx5BlmfXr1yf0eg6HY+Yw+XvvvUdnRwcpLtf8edfLmKUtXk8kKvr9fjo7O3nc0oLH46GgsIDs7Kw/++vPy+PHj/n00095+PAhxcVF7N69m4qKinkULoAgo+N+OgdlQqYiCtcVk1uUz6p8Fx6tm/GmOs7ajvHB2cfce3CFhltryC5bRX6OC69XSvrmp2vWrCE/Px/DMBgbG+Po0aOsWLEiccUNn3CeMzMzKSsrIxyZDBN0dXURjUbnvYjicmNpi9cU0WiUoaEhxsbHSElJobi4mOzsrC9qMiUoG9swDB49esTJU6e4dv06OTk5HDp0mKqqqnlu+RUFRpgwSwQy15CV7SF/ZSEF+RlkZ9iwGCsh145dHqVzeJDOO/30dnXS0j3KcKiQuFdJevGy2WwzpYzy8/PxeDz09/dz79491q5dm9CEUkVRyM7OZuXKlYyPTe5i9/T0UFhYuGTKFy1GlrZ4SZO7fX19fTQ3NzMyMsK6devYtm3b08vFBAiXrut0dnZy+vTpmcTXXbt2UVtbuwBP4BgQRk7z4t1QgtfuY2W6HZddnnyrkhNy1pG3bTtVV+9wt7eP9niI6ESYSExH+1InweSmqKiIgwcP0tXVxcmTJ1EUJXGxrynsdjt7du/BYrbQ29vL5cuXsdlsFBYWisD9HJGsoY0/zxc9PgmFQjx8+JD6+npaW1spKiqiuroaj8fz1Otmy/Th7gsXLmA2mzh08CDV27Yt0NJBBux4PWkUF2aRn+vE5ZB5+h7KxOkrpigjm1KPlSyTgVnT0HUDbQEsnktKSkp4/fXXycnJoaGhgTNnztDe3p64CxiTnt727duprKzk3r17nDx1iq7ublRVTdx1BE+xtD0vJsWrt7eX7qmJlJGR8UX5lASJ18DAAGfOnOHcuXPYbDZefPFFdu3cScqCtcyyAD48FgUnkwfMdb7cmVnVLCiGjRTFQbrNgc9uxmaRl5jfNZnE6vP5aG9vZ3h4mKtXr2IymThy5EjC8u1MJhNZWVnk5+URDofp7OxkcHCQ8FQ7OkHiWZriNeVhaJrG6OgogUAAr9eL1+t9+jhOArz5oaGhmad5JBLhm9/8Jrt3715A4YLJr9WJgjQjRF/W6TCqOsFITCIo+UhxZZKd6sbnTO5UiT9HbW0tTqeTn//855w+fRqPx4PNZicra5ZHtJ6YR6mpqZSXlzMyPMzI8DADAwM47G4ilO0AACAASURBVHaRNjEHLNlPVFVVOjs7uXLlCg8fPiQnJ4fa2tqEbmEHg0EuXrzI73//e+LxOPv27WPnzp1zVpbl6yPxh37Wl8yI96KPdtAdsTDkW0PmqtWsKsogdwmLV1paGjt27KC/v59Tp07xySefEI+rvPrqNyfDCAkgKzubV199lTOnT3PlyhUUkwmH3U52dva8N9Jd6izZT1NVVVpbW7ly5QrNzc14vV62bduWsNLBo6OjXLlyhTNnzjA8PMyOHTt48803n67ouWjjtCr6YBtjjzoY1byY1m6iaEsZpcVeMixfXl4uJaxWK9/85jd5+eWXCYfDnD59ikuXLjE6OpqQ8TMyMti5cyfpGRlcv36dhvp6+vv70bSlFklceJas56UoCrFYjFAoNNOI1efzJaRlla7r3Lx5k//+7/9mbGyMI0eOsGfPniRqCz9O9+MO7twaJW4poLRyPZVVeeSnWZbuhHiC6V6c8Xic3/3ud/z85z9HVVW+8Y1vzHpsWZax2Wy43W40TSMYDBIOhzEMUfc+0SxJzysYDNLa2kpPTw9uj4fNmzezYsWKhO38SJJES0sLp0+fRtd1Xn75ZVatWpWQsecc1Y86eIeW1kHuBrNwFq1jS1Uha3OduJdRXDk9PZ033niDrKwsTpw4wa1btxI6flHRZHKyy+WiubmZlpZWotEohpHALe5lzpJ80HZ0dHD27FmuXr1Kamoq+/bto7y8PGG7PuFwmGg0it1ux+v1znMC6iwZ7WD87jX6AyrhFVtYsaGC1UXpZJnlpTkZvoKUlBTMZjORSARVVRMWWN+4cSMul4tf/vKXfPLJJ2iaToozhdy8XJH3lSCWpOcVDod5/Pgxjx49Qtd1Vq5cSWZm5qyXjIZh0NfXxyeffEJrSysHDhxg//79STIZdZhoZai7mZu9MiOeMgqrNlK2Jp9chynpM+qfl02bNvHGG28wNjbG+x98kLAihunp6VRWVqJpGrdv36a9vZ14PC6C9glkST1sDcNA13UikQgWi4WM9HRSfb6EiktLSwu/+MUvGBsd4yc/+Qk7d+1Mgr6KBoR6CXVc5n6fn3uOrdgzVrOxJI2VXkj5g5fOkAyaPEt2795Nfn4+//iP/8iNmzfJSE8nLy8vIWNrmkb61HiyLDHuH58585gcD7zFzZISr9HRUZqbm7l06RLxeIzaHbVs3botYYF0SZJQVZWWlhYi4TAZGRkJ22KfU8KtBLpuc+tRPw+iBbhWlFFWkkpZKthmXqQCOrGIhG7IKGYZk0liqd9jLpeLoqIiBgYGaG5uJprAcs5ms5l9+/bh9Xppb2/n5MmTxONxVq9enRzzZpGzpMQrGAzS2NjIhQsX8Ho9HDp0mB21tSTqDuzu7qalpYWCggK8Hg8WaxJkROljTLTf5s7t+zQOpyPnFrMlw85qN9gwwNDQo6PEggOMTCiEjFRsKR58LgsKy8L5Ih6PU1FRgaIotLW20tXVlZBmGjabjZ07d+JwOLh48SJ3794lMzNzfqvoLmGWlHgBRCMRJiYmsNlskwH6BAnX+Pg4H/32t5w4cYKKigpeeflliooX+yQcJtZ/k0tXm2m4EyGWamNVgYES7GOsR8aPiqwHCXa10v+4nT4tFWVlFcVrnLhM1iXvdU3jdrv50Y9+xJkzZ/j42DEGBgb4yU9+gtvtTsj4NpuNcDhMIBBAUzVkeSln0s0fS0K8VFVlaGiI5uZmguEwpaWlrFq1Co9n9t2AotEoPT09NDY2cvPWLXw+H3v37qWmtjYBls8RWgh9rJOulrNcvlDHbz7r5G6Xk8z8NnrbrnMrRUGRJHQjjskIEuoZYWDIjH3lFiozNYpMCiZleXhdMFkRYtu2baSkpPDw4UOampr45JNPqKqqoqSkZNa71NMe2OPHLQwODtHU1ER5+To8Ho849zgLloR4hcNhbt26xdlz5xgZHmbjxo0cPnyYtLS0WY8dDAY5d+4cv/vd78jNzeVv/uZvKCsrS4DVc0jcj9ZziXtnP+WjT65y/sY4o2ET3T1mmm+bkGUJDAPd0JEMDU3zoGdWs2V9Hm5vGhl2C8uxClVpaSk/+T//h//+2c/4r//3/zhy5Aj/+8c/nrXA5Ofn8/3vf5/jx49z5swZRsdGMJmUqQKVQryelyUhXvF4nL7+Ptra25AkmYyMjJmmpLPFZrPR3d1NQ0MDR44cYdOmTQnJ0p9TJAXJ6iYlcy0llR6knBhIBrqmoWkG+tSOomHoGMhgzsBcsJkN1etZV5RGmlVemjk0X4HZbGZdWRkpKSlcrK9n3bp1CSkmaLPZyM3NJTs7e7LSRDjM0NAQ8Xg8AVYvX5aEeCmKMiMoajxOOBxG07RZiYxhGMRiMQYHB9E0jdzcXNLS0giHw4s/NcLsRsmrofxAJbm1GlHVQMIADJ5M8J7O9jYkC5LNhdPjxue2YVvk2jzXpKamUlJSgmIyMTQ0REpKykxV1tkQCASIRqO4XC4sFouoNDFLlsSnZzKZUBQFTdMIhYKEQqFZi1c8HufRo0ecPXuW4eFhXn/9dXbv3p0cdcllK5IzC68T5q4H+NJl586dRMJh2trb+eUvf8nOnTsT0h4vFAoRDAZJTU3FarU+PZcWrAJJ8pL0q4NgMER3dzdjY2O4XS5KSkrIzZ39EYxoNMrjx485ceIEg4OD7Nu/j5qamuQQL8GsWL9+Pa+++upMR6D79+8nZNycnBzWrVuH2+2mv7+f7u7uqUPb4rzj85DUnpeu63R1dXH58mXaWtvIzc1l27ZtbN60edYuua7rhEIhBgYGSE1NxW5bjiHs5YsvNZVIJEJvby8TExMJGXPjxo3ouk79xYtcv3YNwzCoqamhoKBALCGfg6T2vAzDoLe3l6amO/R0d+PzeKlYX0FmZuasPS+n04nNaiMUCjEyMkI0Ek2Q1YJkQNN1gsEgkXA4YR2AMjIyqK6unqk00dTUxNDQkKj19ZwktXgBhEJBxsfHCUciSJI0u2XdlPc+fT5S0zScTicet2fx7zAKEorEZO371Kl0m1gshq7PviaX1WrFwCAYDBIIBIhEIgkZdzmS9L7qZLzAQEpE2EBipknpvfv3aW1vo6ysjLVr15KRkZGACwjmnAQFvm02Gy+88AKyLNPR0UFDQwPrystJn2XuoCRJk6uC6b9FlP65SWrxUhRlasvZjKqrRGOxWbvg030e6+rqaG5uZvOmTRw6dIiMTCFeiw4jDvEIEzGJuGzBYTFjVRIjBna7nT179oAkcfrUKfx+P6lpabMWL03TiE3NU4vFgt1uE/Gu5yTpl42SJGEYBqqqEo/HZ11uV1VVRkZGuNvURHtbG2lpaZSUlEx2WBabQouL8Q5Gmxuov9LImbv9dAfiCXNkFEWhsLCQFcXFdHZ2cv36dcbHxmY9rmEYxOPqTIKqoihIwvt6LpJW8nVdJxAIMDExgaIoZGZmkpmZOetUBkVRkCQJv9/P8PAwGIY4wrEoGWe89TINpy/yfnsW0moTvnQfJb7EpbKYTCZsNhsjIyPYbInxkBRFITs7m5ycyUYwIyMj+P1+vD6vKFT4jCTtpzUxMcGDBw9ob2/HarVSWbmBiooKHA7nrMdWFAW73Y7dZnt6QokH5CIhhDFynweNZ/jss9N8cvIONx6MMBqem107h8OBw+FIiLiYzWY2bNjA9u3VGIZBU1MTj1seEwwGE2Dp8iJpxauvr4/Lly9z9949LBYL69eXs3r16sljHM+5vJteMg4PD+N2uyldvZq09PTEGi54Lr7I44yjhbvpvneVm5eucetuBz39EwQj+syZzUSSkpLCmjVrSE9Pp6+vj4GBgVnFVU0mE2vWrGHLls2oqsr169e5ffs2Q0NDCbR6eZC04jU2NsbjlhZ6e3uRZZmsrCy83ud3vQ3DIBAIcPv2ba5du4bL5WLv3r2sWLEiwZYLnh8V9AGGeh/R2NhDW3sQixncHgsOuxllDpZdGRkZ7N+/n/z8fC5evMjVq1cJhULPPZ4kSfh8PvLz82eSrLu6uvD7Awm0enmQtOIFIE8lokqS9HSBt+dY3mmaxuDgIFevXKH+4kWcDgd79+5NWD1zweyQJMAIEB56RMvDfm73+IhZslldoJCXpiMhJd7zMia7bO/fv5+CggLOnj1LXV0d4+Pjsx7abDbPPGgn0ydmPeSyI2kD9qapNurWqQD9bHsyGoZBKBSit7eXnt4eLBaL8LoWFQbx8VF6b7fR0aISS1tPVnkbRts9PD1x4oYxJ8tGi8VCbm4uXq+Xnp4eOjo6iEQisx43HldnGtRarTYUJWlvxQUjqT2vRM9VRVGwWK1YrZOBenFsY7GgQ3SY0Y4eHjWFCUQyWFm1ltLKfEwWBTWuYcxFHssT3pAkSVNCYxW7gosE8S1MIUkSZrMZi8WCYjKhT+WOCRYBsXG03lsMtTXRHnWi5pazdmUqpRmTEzimzn0CnqpOekpms1mkziwSkl68DMNISEkRRVFmnqi6pokyJYuGKHqwn+6WZtp6+onl5JKzvoRCD/jUMRRDQ0MCY26DRtOJ0IZhJMzzStTcXa4ktXhNf/m6rs96EkxmPscxDAOr1TqZUS9YYDTQxxkNDHKzV+N+MIO0vBw2FsukpRhoU9/XfCTgWa3WmVyvaHT2FUam560+FagTAftnJ2mjhFardaYJ7PQT8XmJRCJ0dnZy7do1otEo1dXVrFu3TlSSWGgMg4m+AboedNAXdaGUrKW0JIdCJ2BARJfRjUnpkiQJRZ47BVi5ciUHDhwgEAhw5swZVFWlpKTkubPupx+WqqrOvhrKMiVpPa/YVGdju92O0+l8/qMbBoyMjHLp0mU+/v3HBINBXn31VWpra4V4LSQGxMb89N7rpvNOPzaHh/XV6yjKmypsrWmTdfklmJIvjDn0wDZs2MBf/dVfIcsyv/zFLzh79iyRcPi5xzOZTLjdbpxOB5qmJmQHc7mRdJ7XxMQEDx884MrVq8RiMSoqKqiuriZ9Fpnw0xUzW1pbqHRVUlpampC2aYLnxIijj/fif3CTjsfddOsFZOVVUJ7rYvJbMUANYTNFcZonc6ZihpWgaiUCmIFEP3Y8Hg8ejwdZlrl//z7dXV2os9iN9ng8M920R0ZGaGhoAKCoqAiXy5Uos5c0SSde4+PjXLhwgYZLl0hPT2fTpk288MILz+92S6AoMlarZSamIZ6CC02c2NBD+m5+THNzlLuug4x3jeK9cIkORUM1VKRIN/4H7XSPxomEJwj2PODmVStZtkIyszMosJtJS7CCRaNRFEXB5XJhs9tnkqSfh+nmxbIs8+tf/5re3l4sFgter1eI19ck6cRLVVX8fj/j4+OkpaXhdrtn3ZZKkiQURcFkMiFJksjvWmgkmAiO0dl6i8YLzZwOtmBxufnUGkKWdDRDQ9JD6P5ORoeC9ITuEh34D37X5ub2jUNUHPwOr28pZEdmYs2aTp0xWyyTIYVZiNd0gqrb7SYejzM2NsbExIRIz3kGkk68FEXBPnXKX5KkhOz8CL7A0DXi0RCxuIYuWzBZLVjNpoQvw/48CjgysOZXkJ4XIrt1lMDECEMTYCBNHgVS48SDOhMTOpHoBDBIPBgmNDJC2B8jHps76xKZ3jDtzTkcDmw2m4izPgNJJ17wRCldvkiXmG3DDcEkWnyMgbZ7dPaOEbTm4Csopjg/FZ8szc/ujgEg48peTdnB/4234jV2jUeJalPdvafOscYCwwzd+oDrDXV82rkCac0rfPuVSvZWrSIzJ4tC33wYO3umhfDJOS34eiSleAnmCh1d62fgwUUuX+qgzVZBYbUTs9eH0y0x+57RXxcFqyubHFc2OaV/4iVGkL7Ueyj9l2iI5KGs3c8LL+/kGwXzZqRggRHiJXiCMNpEJwMPG2m88JAbFoM1jjWUrlpBocuKbT4cAwm+VgaPrhKNq0TiKqoaR1aj6JEYIPKllgtCvARfEBkn0tFC29173LrxmLvWTMwlffQPBogWWBeVLqixGNFoiFBwgoA/gCUQnMq7WkRGCuaUpE1SFSQSA1CJjI/S+djPwKiEioYS6ibQ84C2zh76xuMspj1YSVawenLJKixnzcoSSnNceCxiOi8nhOclAKLAEB2DIzQNOJHS17Cu3I/e3U9w8AZ3mitYtyaf/IxUFkvqrmyykVryApsPpmPenAU5qyhNsyWqbaMgCRDiJQDND4H79PcO0q55SVlfy45M8NVf5MJAJ/ebO7nRHmBDaSpee+Kz158HSbGRkr+J1WnlFKhWDLMTh2MxWCaYL4R4CSA0htH+mPDABLpzBd6SQlYEdDwD3XT0jXO9vYuHLQN0DRdRmAcpU67NQno5BjKS1Y3VCqL+x/JEBAmWK0/kWYaCEdo6xhkdjeDyesktKWPVuirKSwtYYRnD1NVId/M9WvoCjIsEcMEiQYjXskYHI4h/YoLmCTcBRwH5BQWU5GSQU1hCUdVq1q8yU6I9INRyg6aHHbSOqUzr10LGlkRcSyDEa7kiAXoEJh4SDPQwYE6FvHXkFheTawPFlkX6pko2bF/D+kwDve8hd243c6sjQF8c9IW2X7DsETGv5YwaRe+7w8jjO3R1ZxFNTcfT3ovZr+GRA8ixKOPmFDBDsLOdlsa73F1XzpYiHzlpCPdHsKAI8VrOxKMEunvouXOTlsdO+kxD9N59wG1XHK/Jj6IO0vugl+aRAGNDEXj0iO4H3fRtKibusyLOEAsWEiFeyxYVnQBDgyq97VHGusYYVMNM9LbTZVFxKFEUPUbYH2A0qoM2QmzoEb2drbQNVTC4OoM8lmfcQRygXhwI8QIMg6caeSyLyakNEhpvp33CzrCtkvSSMG6zjFUxIRmTHahlRUJWfWR4zNj1JloCnfR33eNW20bWlXvxpppxLYOPahpJkjAMA01V0XUR9VtohHgZYBg6qqoRj8fRdX3pNxU1DBh8zMiD27RMmAiu2sn6Qi/FmTIeCXTdmCw/I8uY8BMbvMj1VD8fn+rhdstdbl5upqI0h9LKbFzO5aNeiqKgaRrRaHSy6YsQsAVFiBcgywqW6Yazsjyr2uRJgRRhoquDjtvtDEZX4yxbT+WWVWzKkkn50otjEHKRFmqn9/HntN5qofNaI7fLi9lU6CXfaV8UGffzQSwWm6mAarFYloeHvohZ4i7G10ACm81KRkYGBQUFWG02+vv6CC/ZOvYahjZIZ88YjzoNVM1GbpqdHO8fEy4ACzjWkL1iM2tW5lNoGybefYuHDx7R3O9ndJ6tXyii0Sjt7e2YTCZKS0vJzs5Ged6OVYKEkHTiZRgGmqahTXW1TkQFypSUFMrWlfHiiy9is1o5fvw4ly9dWnK17HWA6DCx7ts8ah/i7ngqmjmd3BQLqcqfWQLpPlyeQgpz0yhwh5H8D2l92MzNh0M8HoWIBiyqmhOJp6mpiQ8//BBd13np5ZepqKhISK/F6Tiaruszc1rw9Ug68QIwnuiQnQjX3W63U1paSk1NDSaTic8++4xzZ88uuWYIuq4R73lIZ/15bjS1cCdgZthIAcOEoUn8ydtG1zBh4LDIpNh1pOgg/S0PuHHlEdduDNExFCUWj2P86RGSnsbGRj744AMikQgHDhygrKxsVr1Cp5FkaUbAhHA9G0nn98qyjNliwWw2I0lSQoLrkiRhtVpxuVxIksT4+Dj+QGCJTSYNKdhHz/1bXDhxjbPXx7nvdiEPj9E5HCY7oGMyK7jkp6tGGOjEw2NMBAKE4ypYDBQmiHU/ovn8eeodCj5zOab1mWR5wCEtzdzViYkJhoaG0HUdt9udsA7XiqIgyzImkwmz2SwacDwDSSdedrudkpISBgcHiUajdHR00NrWRnZWFna7/bnHVVWViYkJDMDr9eJ2u5dYQNZAUiOENSthRyFpBROsS0+lINOM2aQT03TihvJHfCcDXVeJW33YCipZVW1ld1aE/kgWZpcJnzyOGo8S0hU0Y4kqF+BwOPB4PBiGwfj4OD7fLDp8SJMxtIGBAdpa23C5XOTn51NYWDirObzcSC7xMsDlcrF161ZkWebChQtcvHiRiWCQA/v3s2rVqucf+ok8L1mWkWV5iYmXjOzIILtqF3uyK6gIq6h2FyluLz6fB3eKRIqsI/9BJEFCxmRPxbViK2WpJeRsD7I7qBJRzRhYcbrdeDPT8DnN81PjfoGQpKmWa7qekByvgYEB3n//fW7fvk1xcTG1tbVUVlaKhrPPQHKJF5Ot3bOzsykuLqahoYG2tjasVivbtm6d9diGYRCPx4nFYphMpoQtDRYHMljdePLdePJXsuZLP9f5426ThMnixJTqxJGax1f1cV1KC+0nsVqtRGNRotFoQsIJExMT3Lp1i5aWFsrLyykpKSE9PT0Bli4fkitg/8S9Nb0TaLVasdvtzx88nR5akjCbzXg8Hnw+H4ZhEAwGl1EmtUwi1nxLzfkyDANVVYlGo6SnpZOWljbruQZTzZPtdqxWK7quE4/HE2Dt8iLpPK9ppncCLRYLVqt11oF7WZZJT09nx44dmM1mBgYG+fkvfkltbS0V68sTYbIgCenq6uL48ePcuXOHg4cOsn37drxe76zHfTLZVdcN4vGltbM9HySX5/VHSNQWsyzLpKWlUVNTw4svvkh/fz/vvvsr7t27lwArBclKV1cX77zzDrdv32bfvn0cPHgQj8eTkLFFesTsSHrxSiSSJGF3OLDZ7aiqit8/TiwWXWizBAuIqqqMjY0Ri8VwOp1L/9xrEpHc38Qc7AaGQyH84+NEoxGsZhMpTmfCryFIHlJSUrBarcRiMfx+/xxcYalFCeePpI15GYaR8Ez7aWRZxmw2oSjK056XaAq47AiHwzNJpImcY9NjGYYulo/PSdJ6XvF4fDLrOxSayZCfYRbzwGQyUVBQwK5duygvL+fevXucPHmSkZGR2RstSBoikQjnzp3j/PnzlJWV8corr5Cfn5+w8W02G5qmEZyYIBQKoqpit/FZSVrPy2a14ktNxe12o+kaY2NjRKNRzGYzsvT8mmyxWCguLuall17GarXx8ccfMzg4RF5eHqmpqQl8B4LFTDgc5uOPP+bylcu89uprvPnmm2RmflWW21djGAbRaJTBwUEMQ8fj9eDxeJZYTuH8kLTilV9QwL69e3E4HAwNDXH58mUMw6C8vBznLONUiqKQm5tLWloaIyMjxONxwuFwgiwXJAOqqtLR0UF3Vzc+n4+cnJyEjXujsZGGhgYUWWHHCy9QXV2dsPGXE0m7bExPT6d6+3bKy8uJRqNcb2zkzp07hEKhhIwfjUaJRCKEwmFUVcVsNidkXEFyYLPZMAyDcDhMJIG13eLxODdv3uTCxYsoisKWLVvZsGHD7M5KLlOSVrxg8qiQxWJB0zTGx8cZGx9PWBkbTdOIT9Uqn661JFg+TH/fiqwkNJiu6zpjY2MzMdSUlBRsNlvCxl9OJO2yEZgRFkmSprtoJGxss9lMbm4umzZtIhQM8vBBMz6vl7z8fFG2ZInT3d3NnTt3sNvt1NTWUFhYmNDGLDN1z6bmraZpCTlytNxIas/ryaqqkiRhmqqNlAjsdjtlZWW8/NJL5OXlcer0aerr64UHtgy4c+cO77//Pg6Hg7feeouKioqECZeiKCiKgiRJ6FPzV6RJPB9JL17RaJRQKIQajyMrcsJiU7Isk5WVRWVlJXa7nQvnL3C9sTEhYwsWN62trZw/fx5FUaipqSE7OzthY0/mi8nE43Ei4QixWFyI13OS1OIlSRIpKSn4fD4cDgfxeJzxsfGEndA3KQper3eyygTQ09NDe3u7qACwRNF1ncHBQbq6ujCZTGRmZpKenp6wMIGqqjO71y6XC4/Hg81mW2J14+aPpBYvWZYpLi5m06ZNFBQU4PcHuN98n4GBgYQ9zex2O2vXrqW2thYkiXPnztHZ2fnFC8RDc8kwNDjI58eP09fby/bqajZs2JDQ+ObQ4BA3btwgFA6xZs0a1q8vJzs7W+xkPydJHSWUJIn8/Hw2bdrEuH+c+/ebuXT5Ek6nk6ysrIQEQU0mE+vXr0eWZerq6rh+/Truqaem1+tFkUXwPtmZ3gG8ceMG5y9cwG63c+jwYaqqqhLahLiltYVTp04RDAbZvHkzVVVVZGZmiA2g5ySpxQsm83EyMzNxuVyMj40xPDzEmtVrEuZ5mUwmcnJyZsY/d+4cl69cwWqzsWPHDpF1vwSIxWJcv36duqmOURu3bmV7dTW+1NSEVpHo7u7m5s2bpP3/7d3pc1T3ne/x9zl9+vSu7lZr33eEhDYQm1ltwDZgYyeZ8cxU4ltTrlRl7jycv2RmHuS65uYmMzXjjB3HiU0NmMUJ+w4Sm1gkJEBCaN/VLfV67gMJAbaTgK3tSN9XFcZld/f5qXX60+f8lu8vECAjI4PMzMyn0yRk3exLM314wdS0BiNhEJoIEY1GiU7vbDxbLBYLXq+XdevWMTg4yBdffEF/fz9FRUVPw0tOPtOamJjg6NGjXL58mb1797JlyxZSUlNn58WfOS8ikQgjIyM4HY6Zyr3S3/XdmbrP64knl/ZOhxOP24PVap2TPRfzCwqoqq4mEolw8+ZNurq6Zv0YYv4NDg5y+/ZtRkdHqampoby8fE6OY9V1fH4/DqeTeDz+/DkqGfbSlkR4aZpGamoq2VnZeDweJiYmGBgYmJP6816vl4KCAvw+H319fQwNTW94LyefKY2MjPDgwQOsmkZBfv7sdwMoU1+u/f39TExMTJ2nOTl4vV6ZmPo9LYnwstlsFBcXU1M7tUbsXmsrZ8+dpbu7e9aP5fV6eXP3burq6rh8+TInTpyY1bVvYn5dvXqVo0ePkpuby7533pmTPsyBgQH++Ic/cOvWLfLz81m7di25ubnPl3ESL8384WVM9Xnl5eVRWVmJz+fj3r17nDxxkgcPHjz3uNmQlpbGjh07KC0t5cyZMxw8eJCxsbHZeXEx786ePcvRo0dJz8hg7549s1fd4Znz00W8fwAAIABJREFUravrMQcPHuDG9Wvk5eayevVqMjMzp6ZIyFSb72xJXLc+KUaYkpJCUlIS4XCY/oGBWasw8Sxd19F1Ha/Py8jICN3dXXNyHDH3QqEQnZ2d9Pb24na7SQ4E5uQ4U/W7+gmFQiQlJZESCDyt3yXh9Z2ZP7ye6WuyWq3k5OSwYsUKJiYn6e/vp6enZ9b22nsiHo/j8/vZvHkThmFw/fp1PB6PTJswkdHRUS5fukQ8Hmfjxo2zX09ruq9rcHCQjo5H5OTmYrfbSQ4Ens8r6Sv9zsx/2/gMt9tNbW0tGzZsIMnj4dy5c3z55Zf09fXN+rFWlq/k/ff/FykpqXz88cccPXp01o8h5s7lS5f493//d6LRKH//939PfX39rB8jGAyyf/8XHDhwgLS0NN58801Wlq/EISVwZsWSCi+73U5OTg4lJSVomkZTUxPXrl0jEonM6nEsFgvZ2dls3bqV1atXE41GOXr0KF9++SUjc7LDjJgtkUiE48ePs3//fkZGRqiurub111+noKBg1o+lqiqXL1/m/Pnz2Gw6q1atIicnWzrqZ4n5bxu/haZpOJ1O3G4Xum4lHp+73Yi3b9+Oy+Xio48+4le/+hVWXWfnjh1zdjzx/dy6dYtf/epX9Pb28pOf/IStW7fO2ZSFSCSCzWbD6/Vis8kC7Nm2JMPL6/VSU1NDJBIhFApx+vQZxseDlJeXz/pGB2lpaezatYuenh6OHDnCp7/5DZMTE7y19y3pz1hkjh8/zmeffcbIyAjbt29n9+7dc9ZP2dTURGNjI5pm5Y033qCmpmamtLSE2OxYkuGVkZGB0+kkFotx6NAh9u/fz8TEBKWlpXNyPF3Xee+99wgEAvziF7/g008/JS83j9KyUhwOx5wcU7y4cDhMV1cXv//977l27Ro//vGP+du//Vu8Xu+cHfPixYv813/9F6Wlpbz77rtUVVXhdrsluGbRkurzeuLJWkSn08nExATd3d2MjY3NaV+D2+1my5YtvPfXf42mafziF7/gyy+/lMqri8CFCxf4+c9/zsDAAO+99x6vv/76nAYXTHXWP3z4cGZ6RFJS0qyutxVLNLxgapcWt9tNSUkJpaWlxGIx7ty5w8jIyJwdMzk5mZ+8/z75+fl8/MnHnDx5UsqdLAI3b97kP/7jP7Db7fzsZz+jsLBwzo41Pj5OW1sbwWCQmpoaysrKpnden91BI7FEbxthas5XaWkpiqLgcrm4e/cuv/3tb9m1axcbN26cs+MqioKmaYTDYTlhF4lYLEYkEsFiscx54b/W1lY++eQTurq6ePXVV3nllVfIzc2VdYxzYMm+o6qq4vf7KS0tpaWlha+++oq2tjZqa2vn9LjxeJzKykp++MMfEolE+Nd//Vc0TaOyspJt27bN6bHFUw0NDZw/fx7DMOjs7GTfvn1s3LiRaDQ6pwE2MjLCV199ha7r/OhHP6KyslKmRsyRJRteT8TjcaxWK263m1AoxOTkJLFYbGoHF5RZHxFUVZXXXnuNzMxM/vM//5N//ud/RlEUXn/9ddLS0igtKUGTsr9z5kkFh88//5yPPvoIRVHYvn07P/3pT6mqqpqbKyBjajuzeDzO+Pg4DocDp9OJpmlzUtlETFny4WW326moqGBgYIDm5maam+9y7NgxamtrSE1Jm/XjKYqCx+Ohvr6e9vZ2xsfHSSQSjI2N8W//9m/s3LmTvXv3zvpxxZTGxkb279/PvXv32Lx5MzabjQ0bNrB27do53dx1fHyc8+fPceXKFSoqKli5soLCwkLp85xDSz68XC4XFRUVGIZBMBjk3LmzjIyMkJeXS2rq7IfXE6qqsnPnTtavX08ikeDQoUN8+umnTE5OUlBQQGFhIU6nc86Ov9zE43E6Ox/z5ZeHOH36NK+++irvv/8+DocDVVXn9tZNgcnJSQ4dOsTVq9fYvXs3e3bvpqCwQPq65tCyeGefdNqrqkpfXz+6biMcDj99wByVcPb5fPh8PgB27NhBMBjkzNmz/Pzn/4e/+7u/ZfPmzbN/0GXqwYOH/OpXv+L2nTu89tpr7Nu3j/z8/Hk7fiwWo6PjEY8ePcJmsxFImd1iAOKbls27a7fbyc7OJj8/n1gsxq1bt0lJSSUrK2teZsKXlJTw3nvvMRmOcPrUKQ4e/BK73U51dfWsz/pfbpqamvjDH/7AjRs3WVG+gr/5m7+hpKRk3o7f09PDxYsXiccTlJeXk5mZKcE1D5bNO5ySkkJ9fT3BYJDGxkYuXLiApmm8+eabuN3ueWlDdnY2+/a9jU3XOXv2DL/+9a9n9oVUFEUmMb6ERCKBYRj09/ezf/9+rly5Qn39avbu3Tsni6z/FMMwOH/+PIcOHSIlJYWNGzdQV1eHy+WatzYsV8smvJ5UW92yZQuqqtLQ0MCNGzdISUmhfGU5Gemzt6X7n6IoCpUVFSjA8PAQbW1t7N+/n6NHjxIIJLNly9Z5/eCZVW9vLydOnKCjowOrZuXhg4fk5uayc+dO6urq5m0JTn9/Py3NzTQ2NhKLxVi/fgM7d+4kPT1dvojmwbIJL5iqNlFYWEgkEmF8fJwbN25w5MgRLBbLvIQXTAXYk/Vux48f5+LFi7S2tpKbm4PNZsPlcmEYBi6XS769nzE5OcnY2BiJRGJmRLGp6RaFhYWsra9ny5YtVFVVzevawfb2dj777DN6+/rYuHEjmzZvIicnZ96Ov9wtq/CCp7W4cnJyOHPmDC0tLaxYsYItW7bMWxt0XaeysnK6PHAfkUgEj8fNtWvXaG5uIR6Ps27dOt544w35Bp92+fIVTpw8TiQcxjAMrFYrhYWF5OXmUrd6NbV1tfMT9s8M7nR1dXHi5EkCgQClpaVzuuxIfNOyCy+Y6rzPzMwkEAjQ0dFBR0cH/f39BAKBefvmfjL/LBqNsm7dOsLhCFevNnL8+PGZUj4pqamsKCsjKSlpXtq0GAWDQdra2jh27BjHTxwjEY9TU1PD1q1b8fuTcbvdVKxc+TS45nrz3+nXHhgYoO1+G9FolNTU1Kndr2Um/bxaluFltVrJzMykrq6OcDjM4OAg58+fZ/369aQ+2Sl5HnbA9nq9rFmzhlgsRigUIhKZaks4HKZ/cICDBw4QDofZvGnT3DZkEWtububokSPcv99GXl4eDruDiopKNm3aRFpa2sxmwzPm4btndGyUc+fOcf/+fWrratmwYaPsX7AAlmV4qapKIBBgw4YN6LrOlStXOHVqqgLEunXrCAQC8/IhUBRlZqTT5/OxYcMG0tLSiMVi3Gxq4tatW9gdDpTpx2ZkZFBUVDT3DVtg7e3tdHZ2EolEuHXrFvfu3SMrK4u169bicrrIzMyksLDw+ekI8/BlA1NrFxuvNnLixAkmQiF27drFmtVr5rzEjvim5Rde0ye50+GktLQUi8XC0NAQN2/enKo1brexft36BeksLykpoaCgAMMwCAQChCcn6ejo4LPPPiORSFBbW4vD4SAlJQXDmNqDRlVVU88pisfjz9U86+/v58yZM1y6dIloNIrdbicvP58NGzaw8ZWNaBYNi8XyzZ95HoLryZfKqZOnGBwcpLKigg3rN1BQUCB9kwvAvGf9d6U8/dtqtVJQUMCWLVswjARNTbc4d/YsgeQAK8pXYLfN7y4vFotlZi3cqlWrUFWFw4ePcP7cOUbHxqY79j1kZWURi8WIRqOkpKSwYsWKxVu54M9cEU1OTnL//n26u7tRVRWLxUJ3dzfnzp3j2rVrOBwO1q9fz9atW1m1ahUu58KNvkYiER48eMCpU6doaWmhurqaXbt2kZ+XL+sXF8jyC68npj9UNpuN6upqFFVlPBiirbWVw4cPE4/HWb169YI1LykpifVr1zM+FmQiFGJkZARd1zl79iyqqhKJRJicnJwpdvdkKYxhGFgsFhwOx+IoOTzdBMMwmJycJB6PoygKiUSCBw8ecPLkSW7evImiKDidTgzDIJFIUFVVhdfrZd26daxZvQaXe2Gnjdy/f5+DBw9y984dCgsLee2116iqrl7QNi13yze8nvlcq6pKSUkJr7zyCh0dHRw8eBBd16murl7QWzLForJmzRqysrOIRCK0tLRw+PBhWltbiUYjRCIRxsbG8Hq99Pb2AlNXCD6fj9LS0vnrRH6B/qaBgQEePnzI0NAQmqYRj8dpa2vjypUrNDU1kUgk8Hq9FBYWsnnzZmpra9F1ndTU1AUPLoCrV6/y+eefU1BQwJ49eygvL1/oJi17yze8vsbldFJUVITf76enp4f29nYmJyfnbenQn+JP9uNP9gNTOxUFg0EyMjKIx2PE41NLZBoaGjh37tzMFIuioiLefPNN6urqptdNKsTjMQzDQNf12b8qm36pRCLxXAVZTdNQFIWxsTFu3rzJ8ePHaW5untmazmazEQgE2L59O4lEAqfTSWFhIVu2bPnmwMQ8dch/m3g8TkdHBw8fPmTVqlWsXLlSKoIsAhJez9AsFvLz8qiqqsJqtdLS0sLKlSuf1oFawA8QQEZ6Bu++++5MRQzDMLh37x6/+93vuHXrFuPj40xMTDAxMYnf72d8fBy7fWq/wHA4TCwWIy0tjZKSUtLSUmc1wOLxOL29vTx8+JDe3l4Mw5gKSVVlbGyMluZmmpqaaGlpQVVV0tPTqamp4Y033mDVqlXA1BWwrut43J5vHmCB3vdYLEZzczPj4+OsWrWKwsJCYrG52wdUvDgJL5iphOnxeNi4cSM2m42GhgY+++wz3nnnHdauXbvQLQQDVIs6U2LniSRP0sy2buFwmGg0SiQSpb29ncuXL88EXSQydUVUWVnFO+/sY/XqNXg8U1eV3/XD+GSmu6ZpDA4O0tjYyNGjR7lx4zqJhIHNZsNgqqZaZkYGq9es5pVXXgGm5rgVFRWxZvUafH7ft7w4i2Lfy9bWVv7717/mcVcXP/jBD6itrV28gyPLjITXtCcVUJ/sr9fT00NDQwNHjx7F5XKxYsWKhR1V+hMfZKfLya5du9i5c+fMf3v48CG//e1v6ezsnN4tyZgZnezs7OTcufM8ftyFw2Gf6SD/Lp4MDmiaRjAY5MGDB3R0dExXjzUIhYIkEgZ2m53i4mL27NlDWVnZ0x/pz135LYLgamtr4/ChQzQ1NbGivJxdu3aRl5e30M0S0yS84LkPiqIo5OXlsXv3blRV5eLFiwSDQT744AOKi4sXro1/wbNBUJBfwFtvvUV1dTWTk5PTc8KmQqqrq4fGxgaOHfsjo6OjKIryvTakiEajxGIxfD4flZWVvPrqq+TkZDM9DQ3DMHC73eTl5VFcXLw4RkBfwEB/Px9//DFnz55lw/r17H3rLVl0vchIeH0LTdNmRhqHh4e5e/cun/32t+zZu4dVq6oWunl/mQLl5eXfOiL2uPMximIwMTFBf38/iqJ859ugJ31p4XCYjIwM6urqePPNN01/ddLa2srBAwdoaGigtLSUt99+m5o53nVKvDwJrz+jtLSUn/zkJ/zud59x8uQJIpEwWZlZJAcCC9207ywzM5Mf/ehH7Nixk2g0CvC9Zoc/KQqo6zp+v59AsnnfG4CJyUkOHDjA559/Tn19PT/72c/kimuRkvD6M6xWKytXrmT37j2EQiFu3LjBhx9+yL533pkZITMVAxRVIS0tnbS09Dk9zmLos3pZ3d3dfPTRR5w+fZrq6mreeuutRd1VsNxJeL2A2tpaPB4Pv/zl/+PYsWNYdZ3k5GQyMjLMtaZtvgLFhMHV09PD0aNHOXDwIIUFBfzjP/6jBNciJ+H1AlRVnap++s4PUFULp06dYmhoiH/4h38wff+OmBp0+OUvf8np06epra1l39tvPzcqKhYnCa+XsH7DetweNx9++CGNjY18/PHHlJSUkJTkpba2hpSUlIVu4vcUh9Fu+js7ePx4gL6QQVDVsSUnk5qVQ3Z6Gil2laWwDDkUCnHx4kUGBwcZHBzk0qVLJCcn8+Mf/5g1C7imVbw4Ca+XVFpaygcffMD//M//cODAAQYGBsjJyeN//+P/5p19by90876fUC/DLee59tVhTpy6RkNniIcJHVvhCio272bnazvYUpFF4fwW25gT169f51/+5V9oaWnBarWyZ88efvjDH1JZUbHQTRMvSMLrJem6Tl1dHTBdCritDVA5fOgQwbFRdr3++tNqrGYRHiU22MHjjge03H5MU69KUHfjdY9g77jHg7P3efAoysCoi2hkA6+vSifbbcFEvX0zYrEY+/fv5+TJkxiGQXl5OXa7nTfeeIM1a9YsdPPES5Dw+o4qKir4p3/6JyYmJmhtbeXjjz/mv//7Y2x2O7t2vU5S0resz1uUEiQmBhnpuENr8wAtwXTUmnK27UqQmmijq/ErDh9p4PCtJhq+PIHHmUSG342/JAm3ye4fg8EgN2/c4JNPPiEUCvHBBx9QX19PNBolLS1toZsnXpKE13dks9lmOuuzsjIZHh7m0KFD/O53v2d4ZIT/9f7732vm+pwzACUBTDIRj9Ef9xJ2uElLziY1L5vSfDsBSxUT+V5cFitjweuc7Wuh/dZ97tWXU1XgwW0x17DikSNHOHDgAKqisG/fPrZt2ya1501MwmsWeDxJ7Nu3D4fDya9//Wv++MdjBJL9+P3JM9tiLd7FvHFimptEYAXpbhter4e0FAduJ4ADa0kda9Y109TcQedNsKgQiyrEE+aYzNXc3Mzjx49RFIXjx47R9fgx7733Hu+99x4OKWtjahJes8TtdvPKKxuZnJzg5MmT/OL//l8GBwdZu249P/3pT6mqWmTLipQn/7Ch2zUCqSqg4XZYcD7bIR+NYklEcXhdBApz8JTmk5WWjNcEV11dXV189NF/cejQYfx+P4WFhfzor/6K13bskOBaAiS8ZlF6ejpvvPEGsViMTzseEQyGZsoHj4+Ps379+kU2qVUBdGxW0JJAVaaurGYYo0x2POJBV4Kor5wV+XUU1JVRmecgaZGfOTdu3OD06dPcuX2H8OQkkUiEqqoq3n77bfMNqIhvtchPQfNJTk5m06ZNOOxOxsZG6Ovv5+rVqwwODuLz+cjNzcViscwUCVwMVJVnRg4TJGIxYsE+gg8buXGhgcstcQaTVlFYWc/qygyKAqAtjqY/Z3JyklgsxsTEBEeOHOHixYtUVFbw9r59M0u9zD8XTzwh4TUH8vLy8Xp9JOJxOh51MDo6Snt7O7/5zW+wWq1kZ2fz2muvkZubu9BN/ZooiUgP3S0ttFw+z+1LpznT2ENLuJTkugpS1/pJctlxL8LgGh0d5dChQzQ338Vud3D//n2ys7PZtm07NTU1Tyu7LpIvDPH9SXjNAU2zEAhMjWIleZOIRCIcO3aMCxcu8PjxY0pKSnC73TM76fh8vkWyaWmMeKyfgUc3abp4mlMnL3Pu9hhdSpwAWaQX5VGU6SCl3I9PVxd8nlcwGGRgYIBYLEZ7eztffXWUhoYGMjOzWLt2Ldu3b6e2tpakpKQFbqmYCxJec8xms1FVVcXk5CSDg4PY7XbcbjdXrlyhoaEBTdPYvHkzu3btWuimMlVr2orm9ePNW0FWKRSGWkn0DDHWfpbrZ+2kJCt4XHXUFfrwLnB63bx5k6+++orR0VHsNhuaZqWsbAXp6enU1dVRV1eHx2OW+XbiZUl4zQOXy0VNTQ0Aw8PDTExMcPHiRRobG9E0Daum4Xa70XUdr9dLfkEB1gXZck1D1VJJya+l+tUc0or6qag9x41Lx7l8rYWuJoWzXi++zEwCATflPo35nsn28OFD+vr7URWFCxcucO7cOcZGR6morGTdunWkpqbidDopKyuT4FriJLzmic/nY926dcTjcUZGRgiFQoyPjwMwNDzM559/TjgcpqSkhL1791JQUAD8hTrvs82wYrEk40/14vEXUVQepW61n4qCEGnKIIevPqaz5S5Xb3dSsSKPrCSNwDxcfRmGgWEY9PX1cezYMRqvXsWm6xiGQV5eHkYiQUVFBa9sfIXsnGxUVV3E8+rEbJHwmidPdoQG8Hg8bNq0iZycHAzD4NatW5w6dYre3l5GRkZICQTo6OhA13UKCwtJT5/DwoHPtxIUDU3T0DTADq6k1bi1EYy+XvpGbjE00kd3Rw+P+iKM5jsJzPEi7eHhYe7du8fY2BhDQ0NcvnyJ69dv4PV6Wb9+Pdu3b8dut5OWlkZhUeH0PpViOZDwWiArVqygrKxsZoOK/oEBkpOT8Xg8NDQ0cObsWdxuN9u3b2fLli2oqjqzy4/NZpubnYy+9SLPjz1jDQWVd6m8M8TdOwbh6AST4Tjh+OwePh6PE4lEMAwDRVFIJBJT/Vp/+Iq+3j4cDgcWi4WKigqSk5Opr69n29Zt2Ow2FEWRkcRlRsJrgTz7YVu1ahUul4tQKER/fz9Hj06Nmnk8HpxOJxaLBZvNxsTEBBaLheLi4pnbyu/tRVb5aMnojhS87iQykqwE3Ro2m4Lyovk5vZPQXzpOV1cXra2tTE5OYrfbiUQiNDY2cuXKFYaHhlm5ciXbtm2luLgYm81OTk4ODqfjBRshlhoJr0XA5/M9V2ZnaGgIVVWxWq0MDg7yxRdfYBgGwWAQXdfZtm3bzKjlk6uxRCKBqqo4nU60l+rsNyCRwAAMxYKifD1jDIiPMDY6QXDCicuZQiAjhdxUnaQX7a1/5gWfTCKNx+OoqoqqqhgJg9GxUS5cuMDJkycZGhrC7XZP/RyKQklxCaqqsnLlSjZv2kJ+Qf5L/HxiqZLwWmQCgQB79uxh8+bNxGIxDh8+zJEjRxgZGSESiWCz2XC73dhsNrxe78zuPeFwGIfDQUlJCYWFhS94NAOUCLHwGKHxCYJRK9g8uD1OPNYniTNELHiPnqEh+iIB9EAZBfm5lKTpJKtPX+ZF1mhHo1EeP35MW1sbY2Nj6LqObrWRSCQYHBqksbGBpqYm+vv7cbvdpKSksGHjRnbt2InP78Ptdpt+dyIxeyS8FqG0tLSZ+lLBYBDDMBgbG5vZoXpwcJD9+/cTDocxDFAUGB8fw+/zs+v119F1naQkL4rydGuyJ390mw2n0zmdNQowweRoG49uPaDtcYIJZzZpBTkUFgTwuRSU0WZ6717mbucovZ5iPKV1FJfnkpNkxfa1wEokEjP7OBqAqiigKFg1jUQiQV9fH+fPn+ePf/wjXV2PcTicaBYNRVGx2W34/T62bN1KPBZD13V8Ph+r16xhTf3XigSao6CFmGMSXotcTXUN5eXlM7eHRsLgwMED/P73v6ejowNVtaCqCsHgOGNjYzQ2NgLMhFc8kQDDIBqLEY/FyMjMZOXKCjIy0qc//xGiE4/ovHOBC+e76Iyn4C0oorgqj7RUHX28leFHnTwyUnFX1VBSvYLCAt/ztbyUqdvB7u5uWltb6e7uxjDAqlunduSeDq+hoSFu3brFgwf3GRgYwG53YBgGVquV3Lw8ampr2bVrFx6XG5SpjU++dfRQgksg4bXoaVYNzfr8r2nTpk04nU6GhoZQFBVFgVgsSiwW4+7dZj799FNGR8cwjAQWiwVVVZkITRAOh6mpreGHP/or1tRvIDXFg2YxULU4k9EBuh9d4WrrGGPnkrD9MR17ShKe9ABZ+WVUVmxgTUUVZVkBMjzKNyanjoyMcPnyZQ4ePMj169cxDAOX2w1ANBLBYrHg9/spLiri3Xd/gMNhx2LRZq4m/cl+KioqycrMnKd3VpidhJcJ5eXlfeuWa5FIhC+++ILe3l7Gx8dJJBQ0TcNisRCzxjAMg6GhIc6ePs2dO/fIykqhpiaDFLeX9LI6Vm2IkvB20DUYY9SwEI1pqM48Uso2ULV6NWvzfXy9JkMkGmGgf4CGhoaZtZtWbSrarNpUOEWmpz74/X7q167lzTffxOfzzcM7JZYyCa8l5MlIZFFREaFQCJi69VIUhXg8TiKRoL29nePHjvPFF/tJSvLw7g/38u5buympfZv0om28NhZiYjJOOK4Qt2hoHj++1AwyAl6+ras8FAxx9epVTp8+zfDwMDt27KCurg5VVdEsFgyYWYDudrvJysqS4BKzQsJrqZjuxH62s//b9PX1EQmHiUYjWCwaKYEcHO4sktMzSf4OE/lVVcXlclFYWIjD4WDD+g2UlpW+cHuF+K4kvJaKFwyC1JRU/uqv/5rde/YA4HS6cLnc3+2YBrhdburr66murp4KMqdrVtsrxJ8i4bWcTF/teL3eWasfplqmJsY6pSa8mGcLXU9OzKfZvtqRqyexgCS8hBCmJOElhDAlCS8hhClJeAkhTEnCSwhhShJeQghTkvASQpiShJcQwpQkvIQQpiThJYQwJQkvIYQpSXgJIUxJwutrjL/8ECHEIrB8S+LEJwkHgwQjceK6E5vTjUNbzm+IEOayvD6rhoFBAiMyTrCngwcPOmgfMTAySsgrKaXAp5AkZV6EMIVlEl4GJGLEokHC4VFGetp5cOsmFy40c2fQgavWwSuBUtKSIOlFt7AXQiyoZRJeYMTDRIL9DA+00377OjcvXeLsyXvcCmaS41vNigmF2EI3UgjxwpZ0eD27x4NhxIhGQgSHhxnt7ib0uJ3xvk7GEk6iRNF0sMjwhRCmsWw+ropqRbN5cSZlkZqVTU66n0yvjlcHp2Zg00CV/i4hTGNJX3kpz/ybYnHgSMpEdybjc0fQRu9zo6mTe+0aesIAQ6ZJCGEmSzq8nqOoqBYd1aJj9Sfh8jpxODR0VUGV4BKLnWGAESNhxIklEsRiBvFYYvp/WlBUy/RGvwqaZkFdBrcRyye8ZkSIhUOEwxNEY1HihgGKIhvhiMXNiEGoh9H+Dtof99HRG2IklJj+0rWiqn5cKRlkF2RSlO3F71j6H+2l/xN+g4FhJKb/LHRbhHhBRhiGW+m6fJRjxy9z7EYf7WNM9Y0YNhStiMzVW9m6dxsuvwe/Y6EbPPeWYXjB1G9crrWEWRjEYyMMdj7kduNdGi/epal1kN6YgWEYYPFg93vREwkmbVYMdXmMwy2CEp0wAAAL8ElEQVTT8BLCLAxghImxR7T1jPIgnIElfxtr8hLojgSJRBzsfrz5qyjYsIE1q7NI8yyPmdYSXkIsZok4jLYz2XuXkBHHVV1P/cZs0j06Kbbp8NJdONPS8Wdlkuqy41noNs8TCS8hFjNjgom++/Q9aGV80oOvuITcyrWU+XRSZh5jYCzDQScJLyEWsYQxSv9IH3dbe7nbF0eLRkgtsOLwPfOgZRhcIOElxOIVG2Wy5w73b1/nzJmrXLpnR7k8Rtu9h7RVFrOyMIusvHRSAm6WSTfXcyS8hFiswgOEO+7Se/subXdauH0vQqj5LnduHOJYIIfiVetZ/eouNm5aTVWBlww7LKcMW6bhZSBz6sWip+pYPTlklW9hQyQHT3k//QPtdD9s4f7dZu63tXH7wRD3H4XYsb2OzTWpFPisyybAlmF4qSiqhjq9nEJVlKm/LctolbowB3sqzpJtVGdtpPC1EMMjvQx2XufetdOcO3OOs5d7eNDwBw4NxRgej2FxbCRpbRqpy6QDbBmGlxWL1YFuc2DVrFhUC5pFxWpdXpfcwgQUHdWm47aB2w+ZOfkkivMoK15BRdlKVmT9gS++usH5R+c4fymFrJW5lBan4QmAfaHbPg+WVXgljCjxyBihnsf0d3TT29VPV1+csY4e2u4Ps8rpxO2yoloVVCTMxOKj2tNJLU4nNT2XLF8yNl0hcrSZe/1N3Gmq5mZtKbluN1m2pX/5tWzCKwFEY0FCg61032rk3rU7tN3vpr0nSvxWGzkXmlmpF+MvScLms2JXYBksDxNm5c4nu3ITm3u76H08inqnj/GOFu496KYvr4Asm3WhWzjnlk14wXRVESMBqgtncjGFVTbWFCcRzk4lwxpDixskDEW68oU5+LMorljJutrbPBzr5FZ8jMGhYUITcUDCa8lQDLBYHDi9eWRU2LB7K0ldO87muIWEK5XUtBzyMlx4nBasynL41QvTs1hwJbtIy08mtX0Cj+FB1/Vl092xfMILsKg6FkcqerYfd2qCjHicqGKAoqJZdDTNisUyNVtZRh7Fgnp2A4Y/SQXVgsduIc3vIMOWij8tE9syqOUFyyi8UEBBAUWbmiphnbq6+ka/ltwzikUhTjwaJRKLE42rWKw27Db1mauqBIQGGH3UTU/PBBbNS2FeDqWFqfhcS7+zHpZTePGCFbyWx+9dLGoJUEKMjz7mUUcfjwdA82eTV1ZInvtJl8YQEz1NXLt5hyvtCUaTyigqzKM2RyHVtsDNnyfLKryEMI9JIsNtdF67yLmrAwzoOeTW1VBemkm2Q8emdDLy8A43eybptRUSyK+jJC+bYic4F7rp80TCS4hFRwVUtNgEyuB9Ru7e5GqPxpXb18gsLiI/zU+KT8GmxVEC5RSUlpJfvJL8VP9McL1Ql5nJSXgJsSg5cLrSyMzKpSivl/axXu53t9EyMc5QZhZZufmUFBdTXVpGcX4uKck+kh3q8kitaRJeQixKDmz+YnJrdvCKIx9XSSetvaMMxCxYfWkEsktZWbKC6pI88tOdWNTpzJoecFoO+SXhJcRiZChgD+DOq6E0uYiU8jHqg5MEowmw2tHdyQT8yaT7HGjPzutZDqk1TcJLiEXKUHVUp47H6ceT9hcey7LKLUDCS4jFSXm5MFpuwQUykVwIYVISXkIIU5LwEkKYkoSXEMKUJLyEEKYk4SWEMCUJLyGEKUl4CSFMScJLCGFKEl5CCFOS8BJCmJKsbTQzw8AwDAwjMV0JRXlag18BRVFRFAXlGwvfjJnnJgwDY+Y5CoqioE7/LcRiJuFlVgmDyeExRntv09N1jdbHA7T1ORkfd+H0JpNfnElRQQ4ZgQDJSQ5sdgVVARJRCA8TjvXQ03Wfh033aemYpF9Lx5FWSFleHhU5AbICDiw2OT3E4iVnp0kZBkQnwgT72ui5dZDTJy+x/6KFh4N5ZFbU88ab9bxu9+CwJeFxOtBnnhiH2DixcC/D3de4feIwX13oo9lZg79qJ7teSSLN6yHTq4OEl1jE5Ow0K0XBmuQiOb8QJbiCjIuNGEOdRMJpxJMzCeQWkpOTTorfjs02fdUFoFjA5kXXiklJGSUv9SaFaXEi3iz8hXlk52eQFHCi6stl61JhVhJeZqWC7nFi95Tj1TdRceEqZSnjDFpzKK6tZWV1BaWFfvzWr9V6UjXQ/VhJJj1To3xFK6FYgPRANd7VZVStzCA1SUZyxOIn4WVSCk9CyQpuB7rDhttiJcnuxu1Jwu10YP96cM08c/rfFB2r7sTlcpLk0fEnKXicPL3FFGIRky9Y0zNANUBR0LBgVTU0i+WFfrGJRALDMFAAVTVQSGAkEnPdYCFmhYSX6RmQmJ72wNS0icTXp0D8mec+nS5hEItBLKYQn49mC/E9SXgtMQbwAqn1zecZ03/kwkuYhISXeJ7MTRUmIeElhDAlCS8hhClJeAkhTEnCa4lRvu+i6pfv6xdiQUh4LQnGzAhj3DCmpjooygv0vU8tG1IVY+o1MOSMEKYhp+oSoaCQMBJMxGJMxKLEE4m/GF5fv0BTLWDRDDkphCnIeboUTKUOsYRBaGyM4PAw8WgEy19Ir4QSIxRVmIjoKOjYrRbsFkXWjAlTkPAyPQtoDjSnC01ViA/1Mfaog8HBUcZif+55USKRQR6PxOgKuolbknDrDlyqhJcwBwkv07OCloTX4yPDYcE50kNPSyvXW3u4O2QQ+lNPi/cx0XOf5p4x7oScBLVknLoLlyLzVIU5SHiZnhXUZNLzSlhdlUtZ8iTBjpucPtPA0YsPud0bY/K5JT8JjOgjxm9fpOnMNZo6wvTYM1D9abiddmwL9WMI8ZLkDmFJCBCoqGfD2w+4NTrK/bN3aT51jEMOF+7EWpTKDHK9Nuy6ipp4zMiji9w8dIwTp0Z4oNeSWrmCrLw0kj0aUoJQmIWE15LgwJZaQcn23ewOJxilgTM3uug6c4j9I7e5V+AnJ0nHZgWL0U98tJPe1nGGrUWU1dRSs7qIymw3PinkJUxEwmvJ8GFJW0/9qy6cehGlx+5w/Hobzddv8+DKJLoRB+JYLXZS04ooq9rMms3bWb2mjKKsJNwu5JZRmIqE15KhgOLFnVvP2h0ZpGVXkH/zLjcfPaJ3ZJRYJEo8Ecdi8ZKauYKKtRtZvX4VZSkvVrhQiMVGwmvJsaGkFlLgzyWrfhNvxGLEE4npCfgGoKJarOg2G7ouwSXMS8JrSVJB09E1XerRiyVLvniFEKYk4SWEMCUJLyGEKUl4CSFMScJLCGFKEl5CCFOS8BJCmJKElxDClCS8hBCmJOElhDAlCS8hhClJeAkhTEnCSwhhShJeQghTkvASQpiShJcQwpQkvIQQpiThJYQwJQkvIYQpSXgJIUxJwksIYUoSXkIIU5LwEkKYkoSXEMKUJLyEEKYk4SWEMCUJLyGEKUl4CSFMScJLCGFKEl5CCFOS8BJCmJKElxDClCS8hBCmJOElhDAlCS8hhClJeAkhTEnCSwhhShJeQghTkvASQpiShJcQwpQkvIQQpiThJYQwJQkvIYQpSXgJIUxJwksIYUoSXkIIU5LwEkKYkoSXEMKUJLyEEKYk4SWEMCUJLyGEKUl4CSFMScJLCGFKEl5CCFOS8BJCmJKElxDClF46vAzDAMBqteJyuWa9QUKIxc3tdqPrOvA0DxbCd7ryMgyDeDxONBqd7fYIIRa5aDRKLBZb0OAC0F72CRaLhWAwyOXLl/nwww/JzMxEUZS5aJsQYpExDIOhoSHOnj3L8PAwqrpwPU8vHV4+n4/MzEyampr45JNP0DRNwkuIZeLJXdf4+DjZ2dmkpKQsWFteOryKi4t5//33uXfvHqFQiFgsJuElxDJhGAYWiwWn00lOTg6rVq1asLYoxkveuMZiMUKhEJFIBMMwFvy+VwgxvxRFQVEUrFYrTqcTq9W6MO142fASQojFQOZ5CSFMScJLCGFKEl5CCFOS8BJCmJKElxDClCS8hBCmJOElhDAlCS8hhClJeAkhTEnCSwhhShJeQghTkvASQpiShJcQwpQkvIQQpiThJYQwJQkvIYQpSXgJIUxJwksIYUoSXkIIU/r/EsTl8Yec/cIAAAAASUVORK5CYII=)
Maths-General
Maths-
Which of the following is set representing B but not A?
![](data:image/png;base64,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)
Which of the following is set representing B but not A?
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following is set representing A but not B?
![](data:image/png;base64,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)
Which of the following is set representing A but not B?
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following is set B?
![](data:image/png;base64,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)
Which of the following is set B?
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following is set A?
![](data:image/png;base64,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)
Which of the following is set A?
![](data:image/png;base64,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)
Maths-General