Question
How can you determine whether a relation is a function ?
Hint:
A relation is a set of ordered pairs. The set of the first components of each ordered pair is called the domain and the set of the second components of each ordered pair is called the range.
The correct answer is: independent variable.
Consider the following set of ordered pairs. The first numbers in each pair are the first five natural numbers. The second number in each pair is twice that of the first.
{(1, 2),(2, 4),(3, 6),(4, 8),(5, 10)}
The domain is {1,2,3,4,5}. The range is {2,4,6,8,10}.
Note that each value in the domain is also known as an input value, or independent variable. Each value in the range is also known as an output value, or dependent variable.
A function, f, is a relation that assigns a single value in the range to each value in the domain. In other words, no x-values are repeated.
For our example that relates the first five natural numbers to numbers double their values, this relation is a function because each element in the domain, {1,2,3,4,5}, is paired with exactly one element in the range, {2,4,6,8,10}.
Now let’s consider the set of ordered pairs that relates the terms “even” and “odd” to the first five natural numbers. It would appear as
{(odd, 1),(even, 2),(odd, 3),(even, 4),(odd, 5)}
Notice that each element in the domain, {even, odd} is not paired with exactly one element in the range, {1,2,3,4,5}. For example, the term “odd” corresponds to three values from the domain, {1,3,5} and the term “even” corresponds to two values from the range, {2,4}. This violates the definition of a function, so this relation is not a function.
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)
Each value in the domain is also known as an input value, or independent variable. Each value in the range is also known as an output value, or dependent variable.
Related Questions to study
Melody starts at her house and rides her bike for 10 minutes to a friend’s house. She stays at her friend’s house for 60 minutes. Sketch a graph that represents this description.
Melody starts at her house and rides her bike for 10 minutes to a friend’s house. She stays at her friend’s house for 60 minutes. Sketch a graph that represents this description.
Is the following relation forms a function ? Explain.
(49,13)(61,36)(10,27)(76,52)(23,52)
Note: All functions are relations but all relations are not functions.
Is the following relation forms a function ? Explain.
(49,13)(61,36)(10,27)(76,52)(23,52)
Note: All functions are relations but all relations are not functions.
Anu’s Mother drives to the gas station and fills up her tank. Then she drives to the market. Sketch the graph that shows the relationship between the amount of fuel in the gas tank of her car and time
Anu’s Mother drives to the gas station and fills up her tank. Then she drives to the market. Sketch the graph that shows the relationship between the amount of fuel in the gas tank of her car and time
When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.
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When a new laptop became available in a store, the number sold in the first week was high. Sales decreased over the next two weeks and then they remained steady over the next two weeks. The following week, the total number sold by the store increased slightly. Sketch the graph that represents this function over the six weeks.
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Which of the given statements is NOT a result of Reflexive property?
Which of the given statements is NOT a result of Reflexive property?
Taylor has tracked the number of students in his grade since third grade. He records his data in the table below. Is the relation a function ? Explain.
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)
Note: All functions are relations but all relations are not functions.
Taylor has tracked the number of students in his grade since third grade. He records his data in the table below. Is the relation a function ? Explain.
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)
Note: All functions are relations but all relations are not functions.
What relationship between money (in$) and time (in M) does this graph show. Write a description of the given graph
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASgAAADoCAYAAABcmHkZAAAgAElEQVR4nOy9aZAU15nv/TvnZNbSVb3RTTf7DhICBGgBBMIIbElo8XLHlm7YY783XkfYs8TM1/FMeL7Op/FEzHzwRIxveN65jrhje8bWMrK1gpCQEGKXQIAk9rWhodfqqq6qzHPO++FkVlc3IEtjZJWk/EcUXWRVZWVmnfPPZ/k/zxHWWkuCBAkSNCDkJ30ACRIkSHAjJASVIEGChkVCUAkSJGhYJASVIEGChkVCUAkSJGhYJASVIEGChkVCUAkSJGhYJASVIEGChkVCUAkSJGhYJASVIEGChkVDEJS1FmMMcdWNtZYwDGuva63RWtdei99frVbHbTfG/OEPPkGCBB8bRKPU4oVhiBACpRQAxhiEEAghaiQkpcRai5SOV621CCE+sWNOkCDBxwvvkz6AGBOJRgiBMQYpZY20YkKKLaWYqCb+P0GCBJ8NNMyMFkLU3LcYUsradq11jaCEEARBUCMmY0zNykqQIMFnBw1jQcF4QopdOWsthUKB3t5erLXMnz+/9r4Y9VZVggQJPjtoCIKKrZ96Vy7+G4Yhg4ODvPXWWxQKBVpaWujq6qpZUsC42NWNkMSrEiT49KEhXLyYoMIwpFwu14ikVCqhlKK3t5dXXnmFl19+mZGREYIgwPM8giBAa12zqKrVam1/1lqCICAMQ6rVKoVCofZ9xphxj4muZYIECRoDDWFBeZ5Xc+2UUjXCyOVyFAoFTpw4weHDhykWi5w/f5758+fXZAVxPOry5cucOXOGbDbLvHnzaG1tRUpJGIaEYcjIyAhvvPEG7e3tLF26lFwul7iFCRI0OBrCgqoPgvu+X4s9FYtFisUiBw4c4N1336W/v58XXniBS5cuAZDJZPB9nzAMOXbsGD/96U/54Q9/yJkzZwDnMqZSKY4dO8bf/d3f8U//9E9cuHAhIaYECT4laAiCimNIsTUUu3y5XI6XXnqJHTt2UCqVGBwc5PXXX+fAgQOEYUgQBARBQD6fZ+7cuaRSKd59912q1SpBEABw9uxZnn76aQ4cOMCDDz7Ixo0byefzCUklSPApQEMQ1EQVeax9unz5Mr/61a84duwYra2t+L7P+fPn+fnPf87Zs2fxPA/P89Bao5Rizpw5eJ7H8ePHa9m/X/7ylzz//PN86Utf4tvf/jb5fD6JNyVI8ClBw8SgwjCsCTNjS+rnP/85GzZsYOPGjbzzzjsMDg6yadMmzpw5w5EjR2hqaqK7uxulFM3NzcyaNYvu7m727NnDAw88wDPPPMNTTz3FsmXL+NM//VM6OzsTyylBgk8RGoKgjDEopWoBcq01vu/z/e9/n6amJo4cOUJPTw9SSh5++GGmT59ec+FiayiXyzFz5kw6Ozt5//33+fGPf8z27dtZuHAhf/VXf8W0adMIgmCcO5kgQYLGRkMQ1I2QzWYBJxuI3cD4r+d5+L4POHmC53nMnDkTpRQnTpxg9+7dPPLII/z5n/85CxYsuKZsJkGCBI2PhohBxaLL+gcwLlakta7pnOrJCVy2zvM8Jk2axNy5c+nr62PDhg38xV/8BatXr0ZrTaVSScgpQYJPGRqCoG6EejcsJqEwDGsyhGq1WtNCFYtFdu7cyeHDh1m7di0/+MEPuPvuu2t1erE1VqlUkjhUggSfEjSEizexru56r0+0rOJY1fvvv8+BAwfYu3cvhw4doqmpiR/+8IesWLGiRk5KKcIwxFpLOp3+g51XggQJfj80BEF9GMRxqEwmQ7VaxfM8stks58+fZ/fu3YyOjvLNb36TjRs3MnPmTMDFppRSNUV5HIRPAuQJEnw60BAEVU8asXUUl77Ef2P5QblcJpVK1cScDzzwAF/84hcRQtTiUnHsKo451b+WIEGCTw8agqA+LOq7F8TP6+UJE9+XIEGCTzcaOkj+YVGvRE+QIMFnB58JgkqQIMFnEwlBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGGREFSCBAkaFglBJUiQoGHhfdIHkOCjwdY9F9ds+SCI63z2cwKLO+GJfz/sawk+MVyXoMIwBEApVdsmhMDasSFurR33//i9xhiMMQBIKbHW1l6rf3+8zyAIUEohRDISfhcsYOr+L7AIzIStpvbq2OwSgMTUGcxuy2cYE3nb3uDvh3ktGZqfGK5LUEoprLUYY2qkUk9W8WvGGKR0w7xaraKUQkqJ53m199R/DqiRFzgC833/GuJKcGNcf67Et37DtTNTXOfZtcZCggSNiOsSVGwdCSGQUl5j3cTWlLUWz/Nqn9Fa1yyi+HP1+xJCjLOmEqvpoyG2ia4lFjHhb/276x8JISX4dOGGMaiYUGISqVarDA0N0d/fz9DQECMjI1QqFbLZLPl8nvb2dtra2sjlcnieV/ucEKJmbdXvM95eT14JPhwE1LFUTFnx84kkNfZ8/OcSJGh8XJegYtfNGMPVq1d577332LVrF2+99RanT5+mUCgQhiFaa4wx+L5PPp+no6ODefPmcffdd7NmzRoWLlyIMaZGWPVEFVtZiXv3ETEuPiImsJXAuXkTo0syiask+FTiugTleR69vb288sor/OY3v2Hfvn0MDQ3R0tLC1KlTmTlzJtOmTWPy5MkUCgUKhQK9vb2cOnWKQ4cO8dvf/pa5c+eycuVKvvvd7zJjxgxaWlpqhFRPSlrr67qRCa6D+iBuLdMUEZMAkNFLcvybrkdO9UbXZxGf1fP6nMGLyaKeNKSUhGHIyZMnOXz4MA8//DBf/vKXmT9/Pu3t7VhrkVKSzWZrhBOGIcYYzp07x2uvvcaWLVs4cuQI+/fvp7u7Gykl1WoVay3pdBprLaOjo2QymYScPiqsdQ8hQLp8nI02GyFRNUmBc+uEAEz8mc907q6GeDxPHFvxeK2PgQZBgO/7SCkJggAhBJ7nYYyphTESfDK4rgUVBAG5XI4//uM/5vHHH6/FmfL5fO1H1VrT19fHqVOnuHjxIrlcjq6uLqZPn853v/tdvvWtb3Hx4kW01rS1tQGMizUJIfB9PyGnjwprIsYRIMZEBsaCiW82UWzKWhDWOXwKos/Vkdvn2MwQQqCNxliLF5FTpVrB93y0MZQrFTylSKVSn/Shfq5xDUEJIahWq+RyOdLpNG+88Qa//OUv2bx5Mw8++CBNTU0AnDhxgp/85Ce8+uqrXLhwgY6ODjo7O9m0aRPf+MY3WLx4MdOnT6/9wLHVVX/3SiQGHxUWazVCKcBdS21Axy6edIRjau92/xosQsjoZYM1GoGKSOozCnF9CauNtltrEVLiIRBSUA0DQq1RnodUEovFCq6RyST4w+IagrLWkslkCMOQI0eO8Ktf/YqnnnqKW2+9lfPnz9PU1MTFixf55S9/yf/+3/+btrY27rnnHrTW7Nmzh4GBAdra2mhvb0dKSVdXF9Vq9Rp9VCxhSOQGHwE1f80hMJrQCpAKJcZUUH0Dw3gpn1w2jR/p1IwdC50Lqfg8W0/1sFiwjohSnk8lGqu+56N1SBAGpDz/kz7Mzy2u6+IJITh9+jQ7duzg9OnT+L7PwYMHa7qn7du38+abb9LV1cWSJUtYuXIlU6ZMwfd9duzYwa9//Wuy2SwLFy6ko6PjGtlBkr3778NiazFuLaTz9CRoIABGqyFv7ttHa2sLC+bOpWtSOynpLKzr5fc+67ieoNyCc4+NAWvxPZ9Kpcz5y5doa59EvrkZC0jlIYy5Zp8J/nC4oQ5q0aJFtLW1kc1mOXHiBLt27eLq1asEQcB7773H6OgomzZt4h/+4R/I5/OEYUhPTw+7du2io6ODhx9+mGnTptUkC9ZagiBwX+p5NQV6QlYfHtaCNs4lAY0vLQaJAarAUGC50l/k1b0HmTGtm1xbB61tbaSkC5qHNsRHRFbrpzNz+mFGSuzoCiwWiY1oOSZnC2gsWkqskAxpza6Dx3niiaf5s//nMe5e3ILGABo3TD/f8bpPEjWCqh+sceq/u7ubzZs3MzQ0xJNPPsmBAwdIp9N0d3fz2GOP8Z3vfIfJkyejtebq1auMjIwwdepU7rjjDqZNmwZQI6K4Ji9Wl4dhiO/7NXcvwQfBRkk4gVAeWKgM95HK+ki/iSI+BSHpDTX/vuMQuy6OcplRbtMCPMmosaRMSEbFWT3ZoNm8mn1DTCcTCenD2DMKS1AeQUrwUk0YC0GgSSsfYQWhqRIqRVkpjhUL/GrPUZ7cdo7C4Gw26xYWheBXKzQ1ldE2QNAMNgWMFxQn4/bjx3UtqFikOTQ0hJSSv/zLv+Qb3/gGp06dolwuM2XKFGbNmkVzczNhGCKEoKuriz/5kz/h29/+Nh0dHVQqFYaHh/E8j+bm5lqwsd7VgzFRaPJj/25YwGiwRpNpacFURtGhAV/SWwx4etdZXnvnFH3ap00LhgNLAPjSTXeXxGvkoO8Hj4F6+ZeZ8O6JpT+pTBPGBGgdIJUg7fswatHWYLMpylKw/9Ilnjywn+1Hr3BqqAlhMvSNSKyGbMpHU6GsNVmVjM1PCjd08a5cucKzzz7Ltm3bWL9+Pffccw/r1q3D98cChrEyXCmFMYY5c+ZQKBTYu3cv27ZtY2RkhA0bNrBu3To6Oztr1hSM6VHiwHmCG8MSyQWMwYYBypdYK9B+jpL0KAAnrw7x3Lbt9I2UCYylUCwxXCgRWFACVHTpjYhUBjRqPOrGZDCx4vBGxc8WMEZijIcLv0VnmhIIT9EXwu6TV3l29x5ePbSPy2Uf387AC4oUL11GlychWj2qNIGXRaNQNiGpTwI3DJK3tLSQy+Vq6vB//Md/ZMqUKUydOpXu7m66urpqAfDz589z7tw5BgcHuXTpElevXkUpxeLFi+ns7BynIo8RW2n1pJXgRhAgDEKE+J4GCRUjqEifUSE4dLnA09uPcvJSHyKVxheSwZES/YNDVMohKuvVHCaNRSPwaEyCunEvhhgGrEQKU1fqA1iBEO41BBihsJ4itJZqEKKNJp32GdSw5a2LPLPzAAdOvstwYGjON+GHGiVKDF85SXGok/bWqRSsR0pInKjDJFGoTwDX1UFVKhUymQxf/epXWbFiBWfOnGHr1q3s3LmTrVu3UiwWAZeabW5uplwuk8vlmDRpEjNmzOChhx7ikUceYcmSJVhr8X0frTVhGKKUwvO8mssXt2lJ9Ca/Azbq/aQ0RodoL08/grOj8NLe42zZsYd0vgWLQBnJaHmI4eII5aAKWQ+isK/FI4zmdaOKDa4tFayPTVkQeuxd9WWIAEI7i0kIqtZirEV6HlYILpThhTdP8MSrezl64SLtXe3ccesyhOez/9B5TEoyWilQKBfRgBTyQ7cD/DTjw3gwn1QI5ro6qNiNy2Qy3Hrrrdxyyy2sXbuWnp4eLl++TF9fH6VSqdZeZcqUKXR0dNDW1sbkyZNpbW29bpO6OHtnjEFrje/74yQICT4AkcgSU0HLFEWgBLyy7z22vHEI66eZ1DGJmdOnc/y9oxRH+hitairaSRAMBmssRkZVLw14yW3dQ9RvJNpg698B40gK6jRibru2LgZnheD8kOapLW/z3PY3GaiETOnqYv09t7Fp/e1c6C3w9sGzDFfLXCoWuTw6yixrSEUEJT4PLNWg8G5EDhOLevP5PIsWLWLRokUfasfx52MXbmJ3zvh7Pw8yg//OHeqaz4io5s4KylZRRfLi3tO8+Pohevqu0D2lm/vXr6attYW+nvMUeiV9QyX6C0V0exMWhSeNCy43IDnBWMu9G4xI97AujxdUqyjPRyoVWecG5Xl4ns9oECAVeFIyVIUjF4u8sPMgz7+2j+FSiWW33cLGtStZu2wGM1skqtJEUz7Ppf4mTg6XuFDRrBSSDGBDS8oTLvP5Kcf16m6BWmfb2ICI62rjXm/XC8VMTHZ9XLhhDCpujxK3/61XgcddMesPUkUDpf61Dzr4xGoaj/ri1usSmgUrJEZlgBwHr1R57e2TnDp3nqwnWDF/GpvvmsmVwYBJOZ+LvsdwOaR/NKACpBD4uLJi3xW6NCyuPXs7bmtQruBl0gghqVQCLIJMJosByhqMVBgpuTJaZt/xHl544yiv7j1MGY8VK5fzyIY7WXtrJ7MzkAJ6PYtSHpVUE5eDIle1s7xarCPExr5avz9iqY/WGq11LQwTv/ZJ4oZZvCAIsNaSSqUwxjAyMkIulxunZYLxrBy7bnFM6bNuGd1MXO+uNu51BCEeRSu4EsDTW/dy+Pg5gnKF5Uvm8D++sJJbc+CNBnQ0+aQ9j4FChSuFMlVc7Ak0ylXuIZENGX+6PiY03pMSISTaSoRKIRRULYyGUA4g1yS5PFpl5zvHefblN9j19nFSze3ct3YVm7+0ihVTs3RJS84aUkLQkYpaT6dSDAbDDFZCKgBCoITgOkGxzxziOHE8DifGjD8porohQdXHipRS5HI5zp8/z8jICG1tbXR2dl5T6e15Xo15E3w0fBiTWSMZ1pbfvvEWu945Ts+VIW5fMI+vbbyTe2a3k7OGdj1CR8bDlyn6BstcGSpFblPkUhMijEYID0Sjhsmvh7EmVl4mSxCECCWRviIAAgvCg7QPZ4ct//X6W7z4xk7OnTvPlMmTePD++3ho82q6PUnaGFRQARuC59PkebS1NpO60o81AcWgSElrkC5/93lBuVwmlUrV5j5Qa5P0SS1scsNVXWLxZKVSoampCSklr7/+Oj/72c+oVCqsWbOGu+66i+7ububOncvkyZPHdS6ILapERvDh8EGxQKwlFIKChsNnrrDljf30VTzy7Z1sumclG1bMI0WZZspMzWo6cxlSvuLKcJmrw6ME1CmwTVhHSZJGJKgPPCIhsVYilY+RgoqBwADK0deF3hGe2rKbX+98iyvVkCWL7+Chuxazef0KOjyL0CVEUCHj+aSkB4HFl5JpkyfjnTiBLwPKxSGGh4cw7ZP4PGg04/AMUeG+MYby6GgkzUjXjJRPAh+4qkvclA6gUqmwZMkSNm/ezI4dO3j++ed58sknaWlpYdq0aSxYsIDbbruNW265hdmzZzNp0qSklw4wlhZnrPtltGCUrU9AWY201lk6cYrNCjSWqtVo3+fiUIHnt+9joGioDA6w8b6N3HvbHCYLi29CpAhpyTfR2pQhLRXl0ggjpRJxUt7phiJSEo1HTgKQExqBWuHiTwKLEK7zgA5dgFxHH1IeFEPLO6cHeHbLdna+fYQhnWLJkuV89b47uH/pZDoJSYUFJFXS6SxYiQ5BeSmw0N2aJRUUUVpTKpUZKpYw7ZMa04AaH5IjHjK1IqFxrzlxiQVMLR0pEBaEdT3FwhC0lKhcDikEp3suc+Td98l4io3r1pJJZ2oZ1LgRIoCw7scyE9QeN3NU3TBIXq8Sj+voli1bxtKlS/n+97/PwMAAx48fZ9euXfT09PDyyy/zi1/8glwux5w5c1i0aBELFy5kzZo13H777aRSqWtaq8R6q882NJYKYFyBLj7GemghCIEwepePJWVDhLFgpHtB+mhfUvAlJ4pVXj58jpffOUMwXOIrt03nO2umcnuXh4dF2yYKsomCkFRVmpacT94boTzQx2DBMqs5GoxkscTiw8aCCIEARAq0cvKIWL0lMXiECCxSSDA+UjqVfG8Zth25xC9eeIWT/cNUZIqHV9/O5ruWcfvsNqYpSKGQgUZKDys8qsbDKIlUilLZsrgjyxQTcLmU4dJgE30lhQUCO4on02Nq9EaAwZmNRoASWB+0cNcLcMkQG78xxIqQgDDqg6Ec15QNyniodIayBp0R9AEHz53jmZe2c+zwab60cgUb1oMoGqRnQFnn9grpyCnUICShB4FwujpXsXjzcF2C0lrXGspNzOQNDw/T39/P5cuXuXTpEpVKhZ6eHkZGRiiVSlhrGRkZ4cSJE7z00ks8//zzfPOb3+TRRx+lvb29lumLg29xIO6zmtWzUcM4MKi6OEp8EzTj3hU5Yho3+FKCooZBBftPn+OJba8xVA5ZPm82X1w+m6UdijYsVSsoCUEF13KluaWF5lyGrGcJy8MMDfahmzsJkQR1w6fhavSliyNhcY34ZIAlrC05KhEI4WG8FCNVgVZwoRjywp53eeKl1zg3OEToZ/jqw/fz9Tvmc3tnE82eSwYYHeKFAnyFsD5K+Y6AAD8lmNHRSh7oqSoGCobBkSA6poBoyn8y1+R6EGbMOxdE1tCYfMRZnvVdHTQeBo0r+5Eyhcx6hIGgFILJwsmC5YVDB9h6YC9HTvSgwgxninBhCGbnFViDFQYjnPWtrAZbjb7Nx3xMFP6Bq7qAs6ZSqRTFYpF9+/bxzDPPsHv3bs6dO8fw8DCpVIqWlhY2bdrEqlWrmDlzJl1dXTQ1NbF3717++q//mm3btrF69Wra29upVCoopWrtfmPy++xC4i6zwFqJiLJnkrgVr6MpX7hktglCpPDA9ykGgnQTHD15gZde28ulS5eYlJ3MujuXsebOObS1KsAgUaSlIzsFdLa3kGtKo3yfQqnCpSv9hDM78aMRPV7O2GAQjpzcNbFIoZGEYCxGe2iZpqwEIyk41h/wm9f28+Jrr3O1/wqd7e38r8e/zL23z2FOVpHD7csai28B33dlMFYTWoUWEiEgLaFjUhYlLNaGlIojjBSL0U2k8VxhK8H4sesrEVagjGuoaoW7t2miygOrMWGI7/lI6xFUDFWLM3VSUDZw/LLhuV2H2HJoJ0d7zhCqFiY1dzBoBD3DAd3NPr6UCDRWuHwyIgBZBTQeHpF+/6ZfqesSVGw5VatVAFKpFKlUivPnz3Py5En6+/u57bbb2Lx5M3fffTezZs0ilUrh+z6pVKrmFlprWbJkCdls1gXhcOr0+iD6Z9l6coiLSlz5BVa5AYWr2BWRzhssVgiE52MDEFkXo7oUwMu73mH33kO0t3dw160LuXvpArqaPaQuYo1FqAxKeHjRN7U358j4CikkwyOjXOrti9Z58RrJDrgGNTdFgK8EAjsmezc+QqTQSjECHOm3/PS/tvPKvv1oXWbp4gV868H7uH/pPNqkIIULmxhASYEnPLA+GI21IOVY3EYBGQUZX5HyPEyoKVecfiyNQjWYEioERiMSSmHIIp0FpQVCgpUGLXRkkQt3w7M+aN8ZXylBoAR9IRw+W+DZbW/xws4dDPolMh1dFAKfnkKJ3tEqA9YwbKDZU3hRB3yBRRE6grISSQqfNKLu5nez8IGagHrNU6VSYeXKlcyZM4fm5mYAzp49y9mzZwnDkOXLl1MulxkaGiKXy9Hc3MyCBQv47W9/y8jISE1LEa9AHAfhP/tK8jpKqItkCmvxMK7AFQhDjbECz88yisFIGDbwf369hdf3vEM6k2dG9xQ2b1jN3C6PtNRQqTqTPZo9XvToasuSy6RQns9wqcKF3n6qxHbc2FE1ElnFbolRoIQFHUI1cBu9DNbzKVvJ5Ypl5+kh/s9vX+adM2eQvmL1yuX88f33cM/MyTTrKnlAWEWIRMZ92o1Fae2El8qRN/EKL1IiDUye1EZ2eAhtYaQSMqANk1WjXSl3rapYgsj6TmGQhlqrColBKEslImNfNWGRLtuZFVQEnBwMeO3QKV7dsYf3j5/D9z3Wr72X7kVz2f3OSfbtP0qhUuFcbx8LO6aSVQJPOGqq3UxFFKQQprbg2c22ym+49DmMqZqNMTQ1NTFjxgxOnz7NT37yE3bv3k21WiWfz/PQQw8xefJkXnjhBQ4ePMgXv/hFvv71r9fSk7EFFbuOUsrPWXFw1Eug5lvZKCtiotVWQKgUVSMY0RpSigLw7M732Lb7LfqHR5g5dwF3L7uNuxa00A4IE7gIsYgWP7Bu6KSFoCML+azvXLximSvDI5GanIbtYgBgCAlFgMRzgz/0QXogFaMaThQse8/38a/P/IYL/f205nzuWbmMr9x7B3dNbSELZJQGG6KNRIo0UnjoyBDDSpAeIpa+RAXYCoknoHNSG6mLJaqBZrhUZnBklI7WpoYrGI5tcohCBMK6qHiUaRPGWTJp6aGFomIFFSuwKWehHr00wktvHmT77r1cvdzH9PYuNnzpPpatXoBuTnPxQh/7qmWKIwXOXTxHavmUSLCqnIuMRePjyVR0Z/ERUReJm+0M/c6lz621VKtVPM9j27Zt/OhHP6JUKvHoo4+SzWZ54oknCMOQjo4Ompub2blzJ0opvv71r9fqeyYKOD9vS53XWy2u8jRK/JuoMVPU4dIqSRWoGsvBi0P85pVXKFRGacu3cPui2Xx103JagCwgbBgNSMC4FLwSBolHGmhvyeP5aUrlEiNlKISQ82K5ATf3NvcRMLECYWwcWKwIMJQweNhKBqFSUVcCOD6oeWrfKX718nNcLlxl8cLZbLp9GV+6/RYWd7XQZF1z31BIjEjhSVfWY63LnkolQfjEJy+I+N1a17nAWqZO7iCTvsJwsczAUIG+oSILW3O1xSgaZcR6QB6JiULTEoOVccwpCkQFLmNuPUVZCAoShoE975/lua2vceToMUQIt8yZydfv28CGNfPRvmQQ6KRKOiiTMiEDV66gjY36kQlXbC4EhhTgsnhYb3xR9U28UDckqPrloWI909GjR+np6eFrX/saP/jBDzh27BjPPfccvu/XylvCMGRgYIByuXzD+NLnjZxk3fNrYBRWKKrSZeG0gLPFgN9se43+kQLDwwOsX7uML997J9N9SAOeDRFW1+097rmtUSh8BC25ZrLZPFoUKFYsV4csXR0Ca6IGdh//qX8k1HQ01jKqAzyvGSUEIwEcPlPiicpGEZQAACAASURBVDcO8cSbbxKkAxbNn8Hme+7g0WW3sCifxQ+qUAkQuQwhKUZMlbwAT9jISooxXqljrcbqKlIqMkI6Fy+dQRdGGK2EjIwGBDjLs5EgAN/gXFQ0Wrg+X16UYUM7q1MoQShhQMPFUoWXDx/lt9te4eTxU7Snc2y88y7+aMN6lna0MdmTjFrIC1jQlqUrnyEsFymNjFAoWqYoN2aMdWPUIBBk8HDk9XEx+A2zePHqK/XFvzNnziSfz/Pqq6/S0dFBPp/HGEOhUODf//3feeqppxgaGmLWrFmfA33Th0f9ncVEwXFnTUXkIgSVECoe9JcrbNl3mP3vHWFgoJ9bFs7lobW3cffUJlJECW9hos8aEB5WunXclBWoaN+tLS3kmlvBG6BQ0Vy60s+tHR0I0TiWwLWQWJEiFDCEoMmDN9/r41+feJ1d775LdkoLna1N/MljX2HZtA7m+pKUDcCEIMEag1UKKXwkGoyzfcbEHRKErbna0liECQFNyhNM7+4mm84QBkMURwMKpUrNemooWGrJAyElnow3SsLAILQTiIUSigLOD43yf19+jdcP7OHylctM7+zkaxs38rV7VzMvl6IVIHTWpvIV3fksk5qzDA4OUqqMMjQyisk319rYx3wUyxYUYkwcepPjBx+qcC4WVG7evJmBgQH+4z/+g3/+53/GGFPTQ8Wq8scee4zHHnsMcM3oPvdq8nF3F7dSyFjLE5fdCwEv5Srx958eZNuON7nU18ekfBN/9PCXWL9sEXkLNrD4KYG0URRCehih0DHpWJfqDYHm5mZyza0IP0upaum50o+5tSNqUmfGVO0Nw1YSQ4oQH6ucq/GLHYf4zcu7OXbmApnWFLfPm8J3vvYgd05rIitAVctoE5VheNGCEAaapcSzIW4V5voZ49yf2KaSQoJSWDTKKKZP6SLte1QrAcVShUKp3JgEJcAY7W420sUfjTZoawiFDymBltBbhZ3Henj21dc58O5RBgoDbFh5J48//EXuWjCDdiBtQWtH1Gml0EBTrol8WzNXBgco2YDeoT6CribibEx8PUxNZnyz5Zlj+MBSl9jFi9esb25u5tvf/jYbNmzgyJEjnDx5knK5jBCCSZMmsXTpUhYvXkx7ezvGmHH9yz+/GJNj1tcoGFyPIRFl0UPg+JmrbH31TS5e7cPLZNl43wbuWDiTTgnpQGNDjUh5jt2EAqGw9V0fpUTgWvrmW1rIt7QivTTFcpVLV/rrrPAosNpIGh9hkQh0IDgxFLDlnUNs2buL93tP09bVwuY1q/jWF9ZxS1sabxQyPgg/g8EQWCdh8aQiayxUKiA0KBDjLKixZwCR9gKsC6x3N6fIZiTGWCqVgJHRck2d3UiwgPZdRNoDCA0msKh0BiMlfaHlQqnK1n2Hee7V3Vy41IvUlm899Ec8um4FC7uaabOQES5Op4VFpnwMUAHyHR1Mnjmb9y9c5GpxmMsD/VTttBpBjR1F2T0VCqw3tvnjjkFNzOLVyw3S6TSLFi1iwYIFBEFQKyiOg+BxUD0WYiaAeCaMVZU50rJCg1AICef6DbsO93Do2AlGyhXWr72L+9beyZTWPCI0EGiXfTJES5y7R0x/jpocWaWBtpxHSzaFj6YyWqF/cMjZbxa8mtbhJp3e9UwMEZ9vTM6OHJx7JetSmmMHUdZw8kqV53e+zX/ueI4r1UHmL5zD5vX38uCSpcxPpcgGoIzjH2OhIiWBBBn50b4xTp2prMvaxfsX8VeKCd8qwEqMEWRx3ZF9zxDagEIloAi01J/jRJXrR5yQ43bzQaZZnSp87LOObA0wakKUUEgZrTGpPIyUVID9Zy/xzI497HjrEIVywMK587lv+Uruv/s2FrVJmizYSoDFIDNprBJUonxNVUBrayvTpkwGAb3DIwxUK1SF68aKieOXISpS+Aura4mem32/u2EMCsbWtIu77IVhyMGDB9m7dy+HDh3i/PnzpFIpgiColaz09/fzyCOP8Dd/8zcEQZBYUdEvpgNBIMF6EkUFzAhKZrha1NDcys73z/LMzsNcKsD8eQu5f/Vqbm/N00XofiTpR3ICIl1nTHdus5N7julQpmdhMgPky5fQIsXVkVH6gWaJ24EVUZD19zy7WNtVP/OkBUJn3RDWrBDt8mVkyIEUVMtuTHsKQgUHLvbx/734BnuPvkNppMDaWxfztY0bWXfrfKamBJkAPEs0ag3CQhqLT3webhLJdGrsYIR0K7tEEyfu2OnCNgpsBm0syne0PbsjR3dTSKU6wuVQcklDp4KsnchQdef8uy5i7bstJiJsZSXCCMb5kPVxnEi0ZiyEaAwGKURtGdK8VQRlQ0UZRNqjmoLL2rJt9yn+6+VtnDx/Fi8lWXPbQh7acA8bls6jFRChRShBKu1htCWM1Cq+BCENGsvMrGJBxuIVB9Ed3Zwd0QxoS5cFTxuU1UglEDaP0RqtfLQiqpe8uUGoD+yoGZeiVCoVcrkcL774Ij/60Y/Yu3cvkyZNYt68eQA18tJak8lkSKVS45pffd5hhav/lRIXFzEhSrp1QrItrbx0+CxPbtvFsZ6LzJ09nfvuXMLKmd1MVgIvLCO0h1Wey+hG+xTW3UuFcB0QYo4wuB+1CWhPC9rSlqFKldFqSP8oTM26SX2zhpHLalvHSTFZaeHcTelW9jXR1BQIlBVIG4DxSaVdDOzMoOW1d07x/O432Xf6KJm0z/o77uCr961n9fxpdPjCVVUEOPPQ6LpzB2EEVoiozENiBUgroms0hmtbrjnhYX0b5I58hrasok9XGSpXGSqDzXFTXBfH3aK+WYW758RGXi2VGQ0T6whNCIuSLr4ordO+hxq8tE8oBb0Vy7nBEtv3n+DXzz1PsVSktTXHxnvv4KEvrGJmW55JuIJ0YwKEUAipUMoRpA3Bi0w6H0Mzis60pD2TYcDC1ZFRCiVLmIGUsK5QWDt5gTCOnELhdHg3u8PYB3YziEWVceO6w4cPc+bMGR544AH+7M/+jFtuuWWclCBWijc1NSUrtUSwkXWD5+7+MtQYI5HpVkaRHC+GPL1jLweOvUtnRxerb5/P+mWLmJWRpAEpfKynsDLOmkQGihwzW2KLoG58A9DS2kJLSytDV4apVAL6rgaE032MHP++3wdGOCtJCPCNRGoVnbRCKonyXBBaYpxLYCwqdMWuFQvnRwwvHT3Ff766nXfePcTUyS18cc1qNt+7msWTW8lHSnDfi6weo+sKZeMgvzsb91+BMJHS6QYnWL85nvwufQFtra3kc81c6huiUCgyWooIKr7A/x3EHnVMmgKMtJjIbarXWcVlNVY7QvdFNIcMjrVCi/YkQUrQj1s44/iVIf7rxe1s37WXcjVg9oxpPPTgBjbduZgZTb6rMLAWpQPSQqDiLKARWGfURgRta6KVfL6Zzs5O+kYqDA4OMTBcpdKSpSlVdyEMkZp8rA7vD6Ikj/sTx1m4fD4PwPLly1mxYgXNzc1Ya2lvb3etUqOylVh1DtRWHE5IKi7itUhdBW2QMk0VxeUQ/u25N9nx3ln85gxLb53GuqUzWD7FpX5lRQMe1pOR9iRSPdVNFGHH5mjNdcFgkbS2tNLe3s6Z3iFGK2UuXekjnNqNkGpM+/B7GrnxSnsGg5RRNk0rt3sj8AOFL5Sz8WwkUE35BMA7PcM8tWMvLxw6zMneXubOm81jG+9l7dJbWdiRIytAV22N4IVvXXzJBT6c1TTheGrXo7aB68+YmikqXJEt7vq2trbSnMsR9lyhWChQqVS5aUqo+nyJEIRCUwVCXDeL2LPzMPiRMBKrXP1PFCtzgl5Xi3dRw+tvvceWLa9w6tQZpFKsufN2vvbw/Syf00mbcrIU3xp8o/GkHP97R7mW8V6rRuDTkmti2pRujh07x1ChwNX+QSrdeWxaOTqKFq9AiIi7xcdSPnXDIHm8dl1sHQVBQHd3N21tbWzdupV9+/axYsUKWlpa8H2/Zm0FQcCqVat4/PHHP/GG640B42ru0GADkIpQKc4OW55/p4cX3jzKcCBYOm8Wq26ZxZJprbQDyrosmzEQGI0VwhHARAiLEEQVUo6aBAaJpK25mfa2duAso9UKl6/2E+pOTJySvwn3OhUFvK2QaCCUGiktnpEoLRBBndvneQRpuFQxvNPTx5Z9+9j65m4GihWWzZ3Ho/eu5surl5K3kLWQFq6w1YYaE4QITyA9p/nSdUkCgUAhqDX8qCXr4siUuNa9E7ZmuggpatnUSe2ttDbnCIMKhaEhSqUSxqacO/b7RiwmCBpj0YlGR0foatrSeK6G0AqoavdG38NmnJU3YGDflSLP7dnPm3v20NdzicltbWxYs4ZHvrCGeR1NZCVkcA8Zl8JoHcksiALaKsr8xsfkXGeFpa0py9TJUxDHzlEYLjAwOEglnIJFuU4J1rhcjR27MX4cKbEPdPHi5+AC5SdOnKBYLNLS0kIQBOzdu7e2qEIsK+jv78fzPB5//HGCICCdTn8Mh/3pgYimhw2qzqz2fUoWDl6u8J9b3qAYKtIyy12LFvLIqtuZnZZgy1QrASqVc2UaRmCNCwoLqcZNFmcx2Jq3E6fVBdDclCXX1ARAUA4ZLhQIreuwBDfHzRNG4OmUS8xJQ0W4NnxWgpKeq6eLg8EKrlrYemaY/3h5K2+/dwhlYd2KZXzj3jWsvXU2rR54JjqvaogQ1sXuUhKLIdABQnnjYstugoixzJite3LdTHJsPWqstgjho6Qj+eZcnmw2g9Ga0VKJymh5LL5Xx3/X7PW/QV7O4rB4USTMw+JbiwzKIFPOehIKfIHJQBG4MGJ59/JVfvXyq7x58BA6CFhx22I2b7iXuxbOorspTV6Crw0payJRb3QGNozkbwojheuwaUFqd5mkMnjRmTX7KSa1toIRFIujFEtlqlFPqXh5wnRdRjMef38QFw+ulRoIIbj33ntZvnw5QRBQrVYpFouEYUgQBHR1deF5HkEQ0NbWdhMPsbHxuxIBwhrQGiE98DxGhc/R/hJPvrab471XGRke5RsPbeJ/rF7KorTCpwwiwKYUlSj+kpIK37gyFRPFtIS1rhOCiCdnbFw7ghqxhuaWJjo62tHaMFwqMlQsMWwsnZEo4eZcgCg4FoL0DZ5no5hT1C9U4TKQecH7g5bfHOrhif17OPD+cVqzeR5Zv4Y/XrOSOye3kYXIBYplGPFgt9EkEFgpay2Mx+fVrjMtPnCmmCjJ56QZYeikPNmUIiUVaaXIpNL09w9QCrppTQlsGGCFwFMKSdw3Tbn0v6izR290acXYQ0TEFDV/RuGCzC7R4DtBkgDjSwJPUBRwtlTmpUPv8cxLWzlztofuji5WLb+dDXcv585FUyLLG1Jh1OFAmMgViwSrvrPlQ2fPR26lQFhJRoENopSe1OTzaWZOn4HVBgwMl0qUyiEB7neQSoz9CPFNkptjldfjA1d1AWoBcq01kyZNAuC9997jjTfeYMeOHfT29mKMYeHChWzatIn77ruPqVOnjlu08/MNRZznLgvFu0MlXjjwPkfOnWVoqJ8Ny+/k0bvncEuHwrch2AAjIZButRIBrtmakXVmExMmQezEjI0YJQStaWhpSYGUVEPL4HCBUuD0v3GPyJsxnGzobvQeHspotA1BaLRU6JRiBMGZ0ZDfvnWMXzz/Ju/3XOC2W+fxlXvv5sGVc1iR98mGgWMJzyc2heLAbf1tWUQxD13bdIOzEIxZDvXMUO/sWRPNXUWU0CLtQy6bIZNOY3VAaWSYamgh5TKF0RFFDtlHjLnE8q+oTYlnbWSxyDErM7oDGeVDSlGV0Gcsb1/o5Tc79/Lqvr0MFUZZMGMGm+5azX13L2XhlDwZQGlDXkmkB1QCd6S+y61ZIWuLZ8SdouKxIuPLJ9xzicUT0OT7NDe1MFIsMFQoMFSsUjZOklALNsSWuxEfS5uM6xJULMCMFeVCCDKZDL29vfz0pz/lZz/7GT09PcyePZvOzk7S6TSvvfYaW7Zs4Qtf+ALf+9732LRp080/2k8hrHAZrdATXApg1/EeXt61nytX+5nR2cz/fPAOVs9pdfVQxoAQUb5L1QKPY9NP1K27EG2N7W1rxyZkNMiaEOTTCj+doRpYCsUyo1Ud6ZLq7PPf5/wkLtARz/1R8ISPzeYYRXEZxfGRUX754htsfeNtisUqdy+axx/dt4Ev3T6NKWmBrFQwUiNTcX2hqNMG1QVsRCTVEHEqYIyiJhxV3WPsPG3t/m4nvBc86dT8ngctzTnyTTkqQcBwocBopYTO5hHK2arCOe21xQI+FES8cIG7kaj4fmIEmHgaipooaWjUhc5HrGDne6d54uVX2HfkKDKXY+606fyvRx5i1YK5TI46h7pmhRapXf97lK3FmYyQNaspvpmp+OqJqHuuEFFvMheTUhaaUh7dkydTLBUZGBpicKRIRXegpLsGsYV7jeV4E42oD6zFi5vLxZbQ1q1befrpp5k1axZ/+7d/y4YNG0in06TTac6cOcOPf/xjtm3bxksvvcSmTZsSJTmghUD7MGzhwKmrvLLnPU6evkw+k+brX1rH+gWttHsGq0OQFic79FAu/DyWGYmYyl73ksYxlbE0kcXN86Z0hrbWdqpDBQKtGSmWqXbkMPL3paax7xaeAW2xIYCP8VKUhaBHW1589yRb9x/gtTf34AvF5lWr2HzHnayaP50ZOUhZCK2gbDRCWFKeN+awTjzA6PSkVC5mEp9nfRi8zhq4Fmb8cyFAKbAWId0iFlJAa0uOtuZmegYLFAsFSqUSQWuGlFDXBNxjGvxAazT+eYRGo53eX0RWkx1LpVkJVQVDGsKcx+mRKtt27WPb6zs4dfo8+Vwr65ev5Y8evIfbOvI0CTBhCEFAKq0QSkM18g29NFb60VKt9dzhVphWsbDCuqRD7XpE11MKaMr4TJ82nVNnzjEwUKBQLBGYOC3hxWHF6ORi6/4P4OLFLX+DIMAYU1t66sKFC/T29rJmzRoeeOABJk+eXPvMsmXLuPPOO9m6dStnzpyhXC4nKnKcKzIKHL00zNbdR3j7nTPkU62sWzqfr6xdxuSsT8qMOJdIpLDR8HFpZmpCvlC4RBjcyGIg6i9lwTpxnxbQlM8zZeo0LhfepxpqrlztJ5jSgsjcjN8m6k9tyy6bmG5CC8kQcGLIsP1wLy/ufZsDhw/Rls6w6e5lfGXdStbMmk6LCPFCJxUwnkcoPFf/GcXHfAFK4lZNMuDYeezkazw04a+zIMcsyYmvXiPXtNZZrkphQ6e3amvJ0dzSzPm+foaHhxktlwmtJhVNRzNhj9ba6PBuGA2LjszEYebooYgl40ZBWblA+JAHu89dZsvOXezb/zbFgQKL5y/m0Xs3sn75IqbkQYYGT0Hac8tuQcVlib1IiiBAM9ZQmujS+Rakli5kYDVIi1AWo0OkHCuulkA24zOlewpCCPoHBxgaKVDVIQZ/YoRh7DLfZJvkhjIDIQTpdLrW7jedTrN06VJmz57N66+/zt///d+zbt06Zs2aRRiG7N+/n2effZYwDJk2bVqt9/inEfUBWHDuUpSbHf8e4Vy4+A5eu7da6bYIFyruBXa8e5Ld77xLqVjhrsW38pX165jf5kN5EPwQlE/g7l0urmxxS1ABSOGqMuq+2zGXHDuuaJIgBEZbpOeGf2suS1dHC2FQZrRS5MrAAJVwBuCPrY02wVSpVzpHqZLaN48ZKJGi2JpI2S0IFQwJeHco5Pm9F3lhx5v0XOqhJd3M4w/cy9fWLmNBW4o2EUC5EC1ikCK0HiEKJWQtrqOjU1TX6w9Td7O+/giL4jp1/xN1xz62FcBEGVKFilLz+UyKTDpT66xZDkOCyLeOLQY3RqK1eCI1/w11QFHcKa6WrI2naEJbCRXlRJdXgpDfHDnBK7v3sv+tg6SFz713ruEra+/hnkVT6RCgNCAFghBjK25NRRHtTMooJ6hqIzLmdWXqCF/X/dDSZe2F9GsUK4C0L5nUnMXHMDBcoH+kTDkcI3g5dnHrBg03laRuKDOoVqtYa2uLIRhjWLduHd/97nf513/9V/7lX/6Ff/u3f6uJOIeGhmhqauKb3/wm3/ve927eEX4CsIBbr8IV1qYJIbRRnllhhVvyKIgUuNZq0mIUQUBYrYD1EKlJDBQ1Nqd4+eBlXn77JD19V5nbPZn71yzgzkV5MgKsdXdRiUIiME7ySCDBw/XZERb8wFkUujZDooirtrURaDwIkM5NjO6EHWmfOZ0eSg0wUBxlqGiommiC1Vsncdg3GnBaCnSU8alEoryUkPhYpAkRQRXPWPCyYNJoH0pScLS3wJM7D/Lcrp30Dg3S3TGJ//d/Psb9i2cxUzl9E9qA1xzFPTQpUY3GtCJFqiYZqE2A62l9Rf2fCbduUetZGpFGnFUEahQho99auEr+agUfH9KSrvZ2Ots7KIxqegsVequuNBbjrFoZ/SihsIxQRuDhI/AQrlog+kl05KdKa5HWadN867nMWKTgNsq5dVeBoyNlth84wa9+u4W+3n5mt8/kobX38NA9t3HrtCwZLNaEhGKUjMoghQIykZp77OSdLmx8bheiXE0kcnXBvMiKFhKlMlgMISLK7UGLZ5iZHqXDq3JZeZwZ1lwtaaa1gAkswgtdhkRmMPK6v8TvjQ9cdiqOPcWFwM3NzTz22GPcddddvPXWWxw8eJDz58/T1tbG5MmTWbVqFatWrWLSpEm19dw/rUryOJpT++ltPKuls2ji1y2khHJh06CIkhJUhkBIVJPg4JWAZ7a9wcF3jzG9o5X1dy/h9gXTySmnT7YyhYwDk9jorqwxSLSMyjaiA5GReRG7ejUTx7qV9+J176R0K/B5QEcuRXdbDqNH0EhGg5CidmVtXnT3jvc1MUVsMITWkBI+INCE2DAkjcRPZUFbdCDRGcGAgDffu8J/vbqDPUffQmY8lsybwjcefYQ186fTGamaPUOUkUwRL1vq6MIpqVXk5NXwUUe7GP/bjcWy4hiVjb4lCvJGFfhSWDxho0yeIptJI5VPWQsGKwHlWHZT27FFKFcSPVbbG68MTZ0uyNbMFhtarBFIL41VLqtWlpHw8uwVnnxtN6/s3IMtW9bcsoSH16zi3iUzmDXJIxudgZaBq9oAxJj667pwXHQd61jEF1aMecNWUJXRImiRRZgV0JYydObS9A2GDJUChstVDE1O/GkDEAYrnHA2HnM3E9fdX708IAxDhoeHyWQyNbJZuHAhixcv5vHHH6dYLGKtpbm5udb1IF777tMsM4grAGRsg8sx0zY2XpxuBXwBwgiCUCJUBrwmigjOlDRPb93FieMnyNgqty+ay5o7FzN9arbmDrjGmE4pLqSo3YGuO+zGWQ0wrq5DWMYauoztp9mDSe1NhKFGGUupVKJU0VRw4QqDdTViOD1M/ItJ65Y0ctRUdYsOILBCYbWiYtyacpU0XAxh53s9vLB9O2+/8zbahKxYuJjvPPY1pja3MV0JWi2ktRMF1pgj9pOFh4g23vyFi26MOAEau0ZKOWpMeR65bIZsJoU2IQOFIiVj0bE2IzY2lbN945LjcR0KxP/P3psFWXXdZ9+/tfZwxp6hoelmBjFPEggQSAg0INmWh8hOnPqSij+/cWJXypWbXMc3rkqpUnElvsnrOC77ff3FY+IhcmTNI0hIAmRAQkhC0HRDqxvoufsMe1rfxdpr9+4WkpDE0KDzuGS6T3efs886az/rPz5/IwGjkhHhQkiEJQml1p4fBnrGYd9rJ3jihZc4cuwYhSjilo1ruWfbLWy+YRYzclbSJaAAP35F+1K35ZrQnTBEq7CFpJAv0tIyA/e8x9DwEIMj4wQ06lIG42pzyT27BO87NKG/v5+DBw/y6KOPYlkWlUolmR5sWmGy2WwiqzI+Ps7Q0BB33303X/3qV69ZuRVzEiiVkuWQcQ+YMkSg4xG2hLBSxbIkjttIJe6zO1v2+M0Lr/PIC88T+mXWLJrH9nXLWDmviXoBIphwFVSoW2DAickllRNKs9WFdkDKvFcmdaxi5cPYks9mLHK5IkGkGBkbZ6yqe8AycQ8dwtGvKLRLaSndaiNVCMKHSOnWG+GiZAbfklQjKIVwtqr49YGj/PKR3zMyNMjspgY2rlzBF++8nbUz65Ee5KspzUVl/k8ZfwOpYvfjsjVMTF6/JNcp4mhLNBEc1gQFdcU8xXyOkjfO+YEhSkGEymjLyGRLJywGPUIs6d+OY4Ni0tsRBIHCjwLIufQDr/Z5PH3gdZ7Y8zzvnD7NglkzuXPLRj6742YWtbgUBYRBFYVC2q52R+NQ/SVdpfi0tIgTi/HnY0mbunyemS0tOJl+zg2cp29ghKpqn6idSo6WK0hQZlxUtVpl//79/Ou//iv19fW0trbS1NRENptNBnuatpiRkRGampoYHBxk2bJll+FSrxzMKOlJ2QksIhmilBYPQVhJIFsoEJGrRcOE5FwA+7v7efzlgwxUSixoLHDb+lVsWtLODBm7OiLCq47huI5WyUxcA5EYF5MuaOJCjHFO+ghL4uVxdMVSRksIXDtDx5x2TvWdZXB0mMHRCn7QgLTRrumU10sMsyAEvwQ5FywLz68SYuFbLoMhvPFOhT2vvcUvn32E4coIM5sa2XXzRr546xYWNeTIhpCVmowxro6Mn1zKCVJQcXuLSB76+J9h/O/E+zKmj5j0OyK92EJTvGNDXT5DXT5L2RtncHiIcS8iKDBR3R5bRdr2i5BKkowTU7GPp0wkLf7EXEEooK+i2HdqkN8+/QwvHT4KSrBl00Y+tfkmti5rp6NokQ0DLBkhrYBQRfhBSBgJXCuPbV1qQkhMJ70MkY7SORIKuRwzZ8zAdTvp6x/k3MAIlQCUY96f/vxUKuh/KfGBLmO61aVUKjF79mzWrl3L6tWrWbp0KfPnz6darSKlTFpd8vl88jfXJFIxYwAsCKWMMzZhHEYMtTZ4AJabxa9CIHXg/GTfeR588iW6zvUjXYstcsFKdQAAIABJREFUN65n143LmNuQJfC14JfrCkKpx0UR6hNcSAupBFHcNiFMsif54GNXQZkbRUzIrogJ8TlbKKx4pwSAa2Xo6Ginu3+Q0fEyg0MjeN5MbJv49tJPYTI9iTcrLHBdQKGiEOwMvrQYUHC4b5z/ee4QT+zbSzkYZV77TP74ju3cu2EVHVkXuxoHxH0/VkML9RNbmoUSDaaYt4Thjku0yd/b6Ey9gIhjNKbIVcWN1wJyjiSXsZFCMV6uUg0VAWbdFVGkY2UTgsvxhxVNfv5QxIWdQnevdI35PPJyF7/ft4c3Ot8mk82w7ab13LftZrYsmkGz0Eldr+JBViBsizC+j3LC1oJ9XkQ8V+tjQ8fhFFEUEqp4ZiUksatiRtJQV4/t2IyWSoyWS/hRupJeE5U5d95j0T8y3tOCAmhtbeVLX/oSHR0dHD58mLfeeouenh5+//vf8z//8z/kcjlWrFjBjTfeyJo1a5gzZw6zZs2ioaHh2m51mWo9CfOBCBLpFGOvRAJhAzktl/rG2TLPHezkjc5T+EGVpfM6uH/XRpbNbNCBVEvEqoMRljuRRQGtoyQM5xgIhTJMlSKnJHYS/0764kM/QEpbjwwD6nIOjQ1NlMplyq5PqeqhgpAMVkKC5n0Lk4IWEqSNEg6eX0VkcvgiS68XsvfNt3l432H2H+uk4nvcsnI1f3z3bdyyZDbFCMIRqMuadQy0+2pDFBdDBvF1m0nIUy7/km3wSTdN8vS6NCBMB4gj01QLttBxpLpinjmzW3m7q5Punh6wdEA/UiAtS/eiEcQEr0DYEASoIAIngxJQCaAqtMsYAoe6R3hwzzGePnCQUz1vs2L5QnbfvpVb1y5jaWOeJqWztUJANpejIonbnRSOVNgqAq+iN0Bk68/oA4yAizESlNLhCyseuhFGISLSdVY5KSjms2QyWdxshqHxUXoGRpjdVk9RWvoAssym5JK3u7xnkNwQzPz581myZAmgW2DeeecdTp48yfHjx3n77bfp6urie9/7HkEQkM/naWpq4s/+7M/42te+RhAE1y5JpY5gJUxWyLQ6mCGJOnktpZaPH4pg/7FTPLVnH4Pnz7F8+SL+3y9+ivnNDclUXzHp4EvHmTRJJTJNqX2l0B3pQunog0jthwlXRsVSKwLb0tk/dHkVxYxDc1MT0rIoeVX6h4eoeFUEhXjAo9ZGT57QitUchQQ7T0m6lIXFoO+z7/W3ePCpvRx4/QS5hhnsumUT/+uOrWxoq6Mo0QuR8j4VEUJOBIZ1P5hpGDFKjkw0tl1yo1sx+cSZgBBgSaFjdsp8wuBKyDkWBccminxGS2WGK4rqpAUXqEibnWZX6DiiIPQjPEcSZPSr9owGvPJ6J/+z5yDPv3YCK+Ow+ca1fOb2LWxbtYD2nEMhDHHCKK66FISWwI/XSwfFFRjJHnPxH9sf1rE0JfQnYt6bZRIi6LhUNpslV8hjZ1yGRkc5PziIaKsnIpYAivS4s1Rp/yXD+6oZmIkuQRBg2zaO4ySz8VpaWujo6ODo0aOcPn2azs5OTp06RWdnJ1u3btVv9BotMQBSgZiJvn+dtpVYJiUvJLguQwFUbHj+tT72vvImvefOUZ/L8Jltm9g2fyaNUmLHwed05s3UKikEQlmkM1gTJDSRndMkNXGJaRKLTMaIeN8GKpbehZzrMKu1FcdxKVXLDI6OUfHiVmQ7k5QqJLETS8sRl4SgpCCQLt0ln6df3M9jz+zhZPdp2tva2bVzB/dsWsP6+ix5D2QQF0O6IrE8RT4DVty7llrLSUUN6VDNpdzgCZlMEJQ5XiZRlhAxQek7zBGCXEbgOFrMrur5DAxWCFobUjErRRhFsQRLXGAqbcjKpItlGDgz6LHvwGs8/sweXj1+ikLzTHbdupHdW9exsqOBVgl5FSAJUVFIFPjIXF67kyTnRZysEfo0VNElWiOjQhWXdijtZxvXG3ShbH1dPcW6IpZjc35wgLPnz2IzX5dyCYvA0x1DE6GIS4f3dfEsy2J8fJyTJ0/S19fH0aNH6e7u5vjx43R2dlKpVGhubqajo4MtW7Ywf/58FixYwPLlyy/tVV5pCKVjJhhN7bgvToFUEhHpXaqkJJCCkoSTw/DoS4c58PpR6uvruHXjWnbfuJq6SM8esxKW0zevEdrQBDjZdEhbSBraPtK+fpyhS1t4TGRetHKlNVGkhcC1BA31Ddi2TbWqqIaKEV8xBuSFRIoQAh/8CkibyM3iSxsfGFPw1mDAo3v38/iTTzF0/hzrli3nvrt2cuv6FcxxtUy4kEwQkwIVaXF+pI3newjLwrWsSRsuyUal3/7lDFsqeSGfLzYkYide2NgCMrYkl3HJOA6hDBkeGsb3ZyCyOkKt4veo94fuTQsQhKEikoJRBa+eqfLInn28+IfD9PT2sOCGedyzazu3rFnOyuY8OcAar6Kk9gOFLZAqIhC6sdmGuPFJSwEr4SBM/88l9EwipQf1iiRsEO/vMEJakqbGPHV1RSzHpX94iHMD/Qnd6/ik3nKXI+R8QYIyInPvvPMODz30EN/73vcYHx9HCMHSpUtpb2/njjvuYNOmTRSLRebOnUt9ff0kbfJKRc/MujYnDGtNI/2fbh3Qs+mJp5jImBgs7dpVQx7b9yqvdXZRCkNWL1zCp3ZuZ14WciHYZqxJUhqt3ZwQiUS3xQghkroqIKlJSRo5L+CiTOSktHuX/EYUt3FKgVJ6gzfWWeQLebxKmbFKlSEvYAS9qXKAdKLkuFZCuxbng4iXuvr576cP8vTzL+NKwe3b7+Rzt23iliWzmGVDFAXxtG0Vc6IiCkKIJNnYOrOUjYymVDiZ+0ugY2yJy3ppdvmF4k8GaacvELGbKSREASjdKOtaFoV8nmKxwHB5jMHBQTzPJ8pYGI9YWhZ6LrEgUmDbAmnDQCli37E+/mvP8zx98CAiW2Tj9tv43O0buHXJbBpQ1KMPLlwXfEXkQejYRImelq5Bk0rqDCG6mapqaeUoh0tXFBmpCEtYKBXFVlBMPEGoCaoIDQ31uJksw6NVBsbGGAWK6EW2XUi26ZWIQSUXHkX09PRw7NgxGhoaKBQKSQPxG2+8wZEjR8jn84yPj5PJZKhUKoyPj3PHHXfwl3/5l4kldi0i9viB+EwxG14pzLy1SEhKkWL/sTM88dJLnOw7w6qFC7jzlvWsbM9TAKwg5bNM+BQkpxRJ/fF7XEUqWh/Hw0wZRLKXpkKAETgKI1AhNNiC+nwdw4M+A6MjjFYqBEAljLBkqAXObF3TPa5CzoaCl46/w7//5gne7D6L7RS57eab+cJta9m6sEirUDi+B5bR1ZZaClaAZdvYlo2SEFV1V4IAkm4TQaKwaSxAEz+7FGEoAak+QkP2xloVidskTFJAaEtPRVFsDUHGEhSzDvW5DEPDI4wMlRitBpQL2mJ0LW0VmxJT4jhl90CZx154nV899QxvnT9Py6xZbN66nd1bV7B+Vo5mQurwcHH1KaClR1ESAhERRArHirDwsVSkCz+VA8IhkoJYTCWuur8EBqcSKKULoYSYGBcPEUIJJA55oD6XJes6DIUwOu4xUPGZkbWwVYSwNLejLr0VdUGCMjEn27ZpaWlh/fr1Sc1Td3c33d3dyWCFbDaL53mEYYgQgtHRUebPnw9cuzEona1zCZVOJ+clBJ5HFFWwMg6EDmEoGHXg1cGAf39kD68P9NAy22LHpjbuXtVKWwTlQZ9C0UlmnKV3k05RT0S6J8Vjki91V1V6SFQkTSws1i1XgJB6HJDJLEqIlI8UNgKJLaBOWSxvXUBPX5mRso83VKJYhsYMlLwQ4ebwQ5/AynKqVOHxPxziwb37OXr6HMVsHZ/btos/uf0GVja4FKpoEY+cDuM65LBwMDN8pZCJwqR0UuSb3g5T3qcpi7gcHp6aVDEpeVfpcADYDkrYBEJQATJZh7nNRZotyWhQoHLep78SMWxBTnpkonGKUuAENo7KEdqSF944y8+ePcRjR44wUB3nhpXL+fwdt3HPyg46MhZuCI4lsdGSMrHpBkIvTUZIHGTc9iP1hyzNwkksoceJmUcuTRhK4shMqobf14F4obQOuvYfaCtYtGUthpVkcNCns2eMeYuakFLiBlWkpXSSQFlMbct+10t+CBZ7TzWDKIpoamris5/9LJs2bcJxnKTOSUqJ4zj4vk+1Wk00yl3XxfM8GhoaACiVSuTz+Qu9xLSGEcQViHgOGdiuIPICVKQD4z4WJ4aq/J/fHKCzdxAZhWy/cS3b1y1jRl4io4B8xjEdx+8yfS/+I5oIJ+uzTY9+tIxxFZtRAgsrbjWOABHXR0l0K06dJZhRbEBKm/FqlaGBASqjo8hcHZadYzQCz7I4Xfb4+aNP88hz+xgd91nWNo/P37WbXWvmMb9OklM6MwixaoJlx699YdtHyA9+p5cn7DQ1MpdqQFaTfiX5PmCi+9+WkrqMTSFjIx3BqTPdjJXXIahHKfAiC184YGfoH/V48sAxfrf3EC++2UmQzbNry23ctXkFGxfPYGFWkvM9zTeWS9KkO2VPyOShia8mEznvJtePCb19TCDTmJ2xaSlCIMTCZnZjHU25LBnLoVQK6O4bpLSoiUhBo4yQIohjnh9c+vBhcEGCsiyLKIqwLIuOjg46Ojou+MdKqYSYfN9P+u/M49dim4uByZxEAvygguNIpHQJlUMJi5OlkEdf6eT5/c+TzzrcNP8GPrN2E6tbO5CEeES4OUh0ey81TKYlnhA8VaBNCImIJ3jYgCslTQ31OFIyNjLEmFfGs7VqQ38Z7CLsOz3ELx5+klfffJMgEGyYt4A/3bWLHTcuoD6j3cWKgMBGZwlLkC8U9Iac5kW5k65uSi2HKbo0Rq5A15bmc1lydVlGZDflig945ABXuljSZUwpXu8v8cvHnuapl1+lf7jK3LYObl93I7tvWcXqeQ45QEQ+vuVhCwt5OQI1HwNJ+G9qJYbQ/2f0EGa0tFAs5nAdm/GxMbq7uwi3LtLKGJYb/+0FkhAfE+9ZBzXVDKtUKonbF4ZhIgtsNKNsO+5Kiq2va34mXhhb2FIRqgpBILDtPEI6vOPDw0dP8/Mnn6bsjbFwVgdf3nYbW2fNoR7wlSBUCgcPkTEtHZc6B5t025KOaQGxYItAxSeisHS9T1NDkYwlOFceZ9SrMugLchGUc4oXjw/yfx56jFePv00euH3NBv6fnVvZuWgmoqqIqj6Bo/CEwMPCtiyyuQIqkkkJ1TWJKF5DZdINce2PgEIhQ6E+SykaJ4NirBoxoiAvYNyL2PdmP/+9/2X2vX6Ms6PjbFi5mj/evp27b5jDvBxkSyBFSJT1UDLE1J1PKyo38UAg2fQItOjdhCNZX2dRyGVxbYtKaZzevj5CIGPFUjTKit3OS/vu3tPFg8m+omkOBpK2FgOjnmnIyxR5BkFwzVpRyTAMoc1qLwwRlmQI2N89wGOHjvL2uV7a8jbbV63g1qWttNmSwAccibJsIkqxtGqWS2mci0lfmR2WCqabWFQszyoBWwgaCzkKroUlJWdHPM56HiJS/PplPTL71Ol3mNc6i7s33MgXblnN5rmNiKqu+JROgCsVQehj4eBYeZQlqQTx/LpL9u4uJcxKTZgGE/WgE/6dOT9MP3hEPD4+I6nL53CA8YpHfxgxKOBMSfHi4V4efPxZXj52hHkL5/HlT9/Kzg0r2NReR7sFtoduF3F0aYiK3Z/paGgmXt3E1sGEFowN1eBASzFHwXHpHx1jdGCY8TLU5cBTIIUdhxivAEHBBDmZgk3b1pKsQaBTMYasPM9LrKh0/11aT+paRGIVROiRUUFEWUiODfg8efhNDr35Frl8jmWzmvjirg201WeRgVY7DAW6tYMAX5VxhX2h0OxHuy4uGOmZ9Kg0tc2pDSeBQsah4AoyrkNFZtjXNUzvkeM8c+APnBvsp6O5gT/ZdTt/tHkFC4sOYVnh2ehRUipEhpBTDgiLSAVUhYVwppvToiGmkFPa1kysGAFIqUeDme/Nw2htiYKdY2axlRP9o3SOBOzthwMHj/Lk43sR1Sqr5y/mzs0buXfbDSxpypJVijCICIXCLVqoKEKVQdgZhGNPep1phXctjKnP02tRBFryWepcm0GvglcqMT4aIrIWvh+RsUVS1nLJRprxPoqa7/W1ISbzuG3b7yKia7ZJOAUT3pFCQJQhikK6PMEjr77GC68epjQyzJp57fztX3yZ1kJeW8ZSN9u6PviRInBDhLDieqX3Lib4cJATF5hAJ86juMsMBFGkq6wMSdlCUHBtOmbN5OT5fg6eOMGhM32MjAxihyU2zJvHF7du4Y71i2nPOzghKFfgWYIAByeykdFEJbtUEbbw30tm7urD1JOZ+G8SMDdSxaYsLaYjpRVLPT1HAFtCzrJoKDYgyVNsLPLcK2/wxOE3OH26i3B8hB2rVvHFTevZtXIO7TkLN4yIREBoBYQoKjggHRzX0mPMjWk2zaDF9SZcO0NQQsiknMED5sxsobng0lUdR1TLvNN9iiUtC8m4kjCCINIKtOoDCOpjZ/E+zJNfj+QETPRhKkGEQ5B1eObQmzz20n56e8+wau5c/njnNtbMzlP0gPhGMN3wUgqq8dDzy6aW866n1BsrCEMcIZPgp9CeBsWMS13WQaiAoWqJqu9TiCJ2LlvBn+68mZvnz2FGRmBFAZEVEQpQ8QQ9lX49EWmpXoJYudZNhZinGya7wRMxoFQ0KPXxWHG8X/fkSYqFAtliA9WzI5w4dpzIiZjRVGDLhs18YdsGNrc1Mhtw/CpQRUo/3jsu8WQ6PEv3qlnCtDtdwbf/YZCynswDJlmUA9qa61k2bw7ecD+tzS1kRDhRExxXRVxC4wmYlnx++XGxwxyU0N33Iz4cP+/x3Cuvc/L0aVqLOe5Ys4y71y2jCa3978euXaKCIXWRm3YeLpMDlA47pb6wpBVbfgLlKyIV4eQsGgs2zcU8xaxDz9AIDc2t3LVqPX+1dSNbFxRxAiAogQO+VPhRhCvsWHGT1KgqgRVnCS2mXsM0Qmp9TI0WxIlPoeOMwgg8RQqkJhLzVhzLor6uDseW5F0Lb2iYOYUGPrV5A390x0bmZgTh2BhuwUWIKkSakkQksYVASF1X5cu4Yp1pGq8zUj0qnY2NrSj0dfsKFs1q5Ev33sbuWzeRdWzaZtRTdLRbZwuwhNkdl7nMoAYSCXLfgh4R8fO9B3nl9ZPkRYYdq1Zy7/plzMvpBlkFSEtr/hju0x6fgxuX3l3u+zdNuZaxnlD6xlN6rHYxC4V8hryMWN3awK1bNvD5zZvY1JzB8UB5IUhBEAYgIGNZ2CoAJQmFTSjMRF8BysY2jGVdJgvxMkIBURQiogBpOdo/EQ6W0DdcKMC2LGbW5SmIKm7pHJ/duIbP37GZdUvmUJBa78rKZ/CiKhmptcb1JpCAjRVX1Sqhn2+6r5DuUkjRZ3zNhiRcV9Iwsx5m1id0H/kRUui+y8vhPX0iCeqDLCihQCo9SHGoqnjm5Ai/ffkIpdEqm5ct4o41K1k7ZwZ1KiTwKyg7EVPBE7qYUqoIN7K1qN0VTcMLIkJ9/imBsCRWfAG2BTOaGlk5v51Ny5dw980baMlm8CNFJVTU5S0scqiKh6UiHMsC5ce9cl7cBuJgJtDoxj0meUvTHbpz39hTChXpKJqKFEKFIG1QESrSxZoz6nPMr3e4adcW7t2+meUdDbiRglDhWBCqiFA6BEJ//lIKpJpweC2RHvWZVoufHjB3QqxjMNFKBRAXRigEroAg1IkwKbTKgyUEwpFaZTYMUEIirUtLKdchQaXiDBcawxv72ZGY/DfSZB9MsMUSlAI4dGqQnz/8FF3nz7OufQ67t9zMxqXzKRBAFGC7NkrGc/CAkIgQhRsLn8UmxyWx600KfIpHN+mt6bSwTMpZtBUVgrLICFi9eCHz22awvC5HuwV+ZYxKtgg5wbAfkkOSsV1kpKDig6t04DfO1VmIWLZfTLyv6XO/TYaY/KVekjSbiqQNRoiJD0mLbCosCbPrMvyvz++msaGJmUWXbPwLQmrLUoUK284ko8UFcRySZCQnUk0MMUMYfYLpgQnH13w3+bYR5r4QAlsQSzBplV3fq4CIcGwHKcXEfqu5eBeGnusV6D43JXR8IZJGCR7Qc8hCS+ChHxZKy9nmZVwzWxoHN0fVcnm5f4QfP7GfE4cPs3F2K7tWzePmRU3MLshYPA5QxuPWblQmztfFMkGXjJwMkqcSk/+d4IlYC0SgI/2O3oKmj2tVUwbRlNFWQBRiOxY5Yq0mSxOQMNWKwgZpxSMg9cYTaXIyrz8dCSp1TTEFMdHBFiu6W5b2xpSI10nExGTepcKWktVzZ+mDIZbMkhLtxgmJ42RRTMiipF/aWCGalExD5rSLQE2qon8XUg9aqbYlIQS240IsSDjxy5d2M1wXBGVOgRAzsFFLZmBSuyk3xHzpK0WktHqiZdn4YaCnl7hZcB2ODgX89uVuDh57m7aGepbOqOfum1eypLWRMAiohCGFjANKD5fWnd9iYlMCSihdqnA57uD3Mg6BSfpSKYkXWynsVL2aiktGLKULBZITMOFzU6ZnXfi2mo7E9B6YuNSJdyKMrMiU30hus3hdlJpo1zaCdwhr0qf93tQj3/Mn0wkf5aPUGfzL+96uC4KajHSdUKpHTegsTSgVSkhcIQjDCCsA15YEkU1FRbiuxTk/5NmDr/LC3peIquNkChY7d+5gUftMpNAZIVvKiYg4AnWBAOGUYSzTAulM8DS6rBpquCCuM4JKB0TMrRhqi0AqAktP5ogUOMIhK6SeYBLEJQWORT/w9Jsn2Xv4VQbO91FfKHDXbVu5bV07GVuilM5uOUYOI5X1uLDMxGUT266hhuse1xlBweQIQKwSKUMQIQGKAF3DYxNiRuYQAQ6UgX2nB/ifA4d5vbsL24LFbc382ee2kEd7c7YEFfr4UUDGcfVLqQtITAgVN/Slr6mGGmr4MJj+zvHHgSCWwtSjm7QobaAnqIZhLE2riceX0FeGPUeP88rJLvqHh1m5qJ2v/snnyKGDoI7S2T7HsnAsO+6E1+7dhQoX4rArqXbxGmqo4UPgurCgDDm8K2kWGy5KqES+10IQhj62zCCVRRToSUkjnmLvKyd57uVDvHN2kHVLlvLpXdtYt7ApJictA+sKdAoeMGOGjPE0MXsydi8v18C3D8B7FcwJMVFMZ5q7P8rzXE+4mPf4SViH6YrrgqAMBGAb2QhhYkJ6KguQyEHYlotQNpElCLIwWoXXz5R48oUX6e3pY1Z9E7esX8fNK5dSFz9vteQhXYl0JESBLuyTsQYW77aRalu6hho+Pq4vglJaTYC49ylK2VMSgRMprTKprER7umrB2ajMf+99jqNvv0leZrj75lu4a9NaZhdkMvlWWArb0nGlxPAwc+TMt+Y6ku9U6ifTj7JqlkEN0x3XXwwq1Qunx2zHfVHKQQYuwncQvq5MCizorng88tpbPHt4P4Njw9x0w3I+ddMSVrVkcJV256wwIJ+xkEKBCrU8Rar/LC0Xp2nJ3Phmgj1MR4KqoYbpjuvKggISw8V0mYARyheasXRPKKGEIWBf50l++uhDjFKlbW4bt29cz9KmZopARiikChEy0jwTVuMuYC3adi2jZj3VcC3g+rOgUnXBps41qQxO3ZNKwBvdvTz50iG6zvVTUYp7dt/NxmXtzMpA1geCOJAsYjF4YesZz5bWR4rirn/Bu/8juYoaEdRQw0fF9WVBCeJZY+CEujRASYiEoioCAtvHzubwlOD0sGLPS6fY/8JJ8pk2NqxYxq03rWSua5OLqrrDXVhxMym6y11MSLYKU6lOelzBxGVMnlx2HZ4DNdRwBXB9ERQkjXlJW5nS8718ERI6kgDBiIBfP72HZ158jYxVT1N9Pffv2sm8vINdHUNZRnZDAE7SJjvJGDI1Vqlv340aMdVQw8fB9XUHmY5hBcpSRHZIQEAUKWwy2GSpAE+/coJnDx3jxJlu6gsOn75tExvn5pkpIJ/NESotm6s7ji+xhmkNNdRw0bi+LCgFhAqkQomIUEQooYcHKASjHrx5tszvnjvAsb4+ck113LhyHp/dfgMzAqizQChFICUKiVSXfhBhDTXUcPG4viwoAQhBFGlTShDqYLaQlEN4q7fK7/e8wvHefkYrIWtXLeePdt/C3CzMdMGJFOWxMYSyse0skahZTzXUcDVx/RGUDaFQWmwMEFhUsRiKIt7oHeCJ/X+gp3eQNTesYve2jaycXSSrFEG1DEGFfK5AFAr8qo+8zpanhhquNVxTd2C6d8x8ne4pU4AnAMemWvGIfIUtXMYCePlEL79+9hl6hkeY1dTMfdtv4vaVHdSjxRQtF4KogiUkrnSxpZMMH32/3rYaaqjh8uG6iUGZfri4FhOpHBQOZeCtsyM89fIrHO06gbDgrq0buW35HNptcJXWjFYSQqnHC9iTxu/UUEMNVwvXlAV1cYiIiLCyOZRjc3rYY++Rk7x46HWiwGfT2mXcuXkpS1oyZMIIPB8VhXrWh3RQStTqK2uoYZrguiEoXTkeEgQlLATjEs4Ae946w8N793P23CDzZzTz+R03s3x2kQJgKR8LH8tykDhIldFzwUwJei1GXkMNVxXXjYtnWnTz0sIH+oE9b5znwReOcvKdQebMnsuntm5i8+I5tDgS1DhChlhWPI8jlLryXMTTXsR1xN411HCN4urfg0bXLW76NwQRAVEcB9KDNHWNkpbRjUDEGgLGI1MgkAiZYTwS9Hvw+Euv8NKRwxQLRVYvXsSntq+jJSOx8QiiCp6qEqkQFUTgx1aYjOfMQ83Nq6GGq4zpYUFFmqEiBL4UBKb/TQhs9LgkJ/DJhQH1rkWkylSVh00OFQpkKLCFw7gQ9EvBmIT/+4tHOHbgMC2qzIrWVj5361pm19lIIEQiZQFBRITEMqJPseJBMsOxNuughhquKqYBQaXVlGKkxmwoAAAgAElEQVRVE6bEqWPrSagQQYAUCte2UChCBUJIhC0IBPQreOyVsxx54xSlwX6Wz5vDXZvXsXJBK2Z8Ilha0yk22xRqQlIlkvGQemrkVEMNVxlXn6CMtRKLU9q8W38ytCCwJb5t4YcKkDjYRFh4KtKjFwWMKeg8W+bRRx+m53QnM+vybLppPbdtvYmmrLbGLD0eb5J+uRnAOEnQvEZONdRw1XH1CQoSYhDEBBJLMIUxU3kCfFsQ2gJfdwInf2RZNpEQjAOd/SUeeeI5uk6fQMiAG29cx/ZNq2nLC1QIrgUyAikUIjVxN7mGqWoF01Opt4YaPjG46gSlgDAmAUtpApnk9VkQSkFVQgWFL0T8oEAIiWMJSsDp0TL7Dh9m38t7sS1Yf+Na7rh1E0vam3WQPdRjzhPiSSnxKmGEOGWsYJC09dVQQw1XEVedoADCZP6K0Mm5mDxiriAUEEhBIAWRtAELIvAjHXcaCOGVEz08tW8fgV+lPp/jrh1bWL94Djm0hp1jg/KUVupNz6kiHvEpxCRelJgpMDXUUMPVwlUnKDXpq5RPlSqSFGiFglAJ7EwWhaDiB4iMRVUKjp/pZ+8rhzl24iRNdVnuu3MH6xfOISf109jEsnNhLERnzKNEo1foEgXSr1nz8Gqo4cNCKUUURYRhiOu6dHV18V//9V/Yts3OnTtZvnw5YRgihODHP/4xp06dYtWqVWzbto329nZgco/rVScoSJOA0vVNQoCYKNHSlpXAQmJZDiVPEUgb24ZT/RWefvko+/5whGy+yK2b1rN13Spac1mygEtqaIIQJDVUIv3qYqpRVUMNNXxIRJF2faSUSRN/Lpejv7+fPXv2cO7cOf76r/+aarXKAw88wKFDh9i2bRtLly6lo6ODMAwZGxujoaEhec6rTlCSVOYunUWT8dg5wAkVOWUxFsLI8BitMwWe0hOB9xx6lcf27GN4zGf9qqXcvnkzi2fMoE5KPTJKKSwRk5MtptQ3CVSKnJKXnzzgroYaargICCEIwxClVDLFeubMmdx333309vayf/9+yuUyXV1dVCoVvvKVr3DnnXcyb968xOrKZDKTnvOqExTE0t5xoDqUupJcxsaOBdghZCOJHQgq4xUiqR9/9vUufv/8fs4MDLJw8TI2b9jEDe1zaLC05YSKsCKFkDIuRwdEmES/p8achHkwjRpJ1VDDRUEIMUmeqFQqkclkuPnmmzly5Aj/8i//wvPPP8/q1av553/+ZxYuXEhjYyOWZaGUwnEchBD4vo9t24i4UPvqIw4/KanlUkJj6IiYoCKw/YiMkjTU1TMeKk6VqvzskUd4vesUre3zWbtuAxvXrqQ1C3l8bBRCCqSEhIqEIFJ69LBKyjQnF4TWrKcaavhoCIKAMAwTHbV8Pk+5XObhhx/mkUceIYoi5s6dS7VaJZ/P09DQgBCCIAgSclNKEYYhtq2p6eqHXAwpKGPVKEJU8j/9O5IolIQ4yHwdg5Hg//vNg7zVfRqZdVm4cAFb1t7AkmbIAPgBIgyRxKPKgwAVBiC0NaXJSaTC8iKZAjPpvxpJ1VDDRcO2bVzXxbIspJT09/fzv//3/+aBBx4gn8/z7W9/m7/9279laGiIb37zm/T09CC1BYFSiiAI8DyPTCaTWGHTwIKKnSsJghCbEEGEjYzzai6e5TKSaWTQz/G2V8dLL7zBE0dOMV4JWdw+h7vWdHDXgixFwInAljYIGcewBMLSb1Mp7RcLFcXMnA7Pq6SaPUkgRlyzJCWESD70IAhwHAfbtomiqKYEGiOtxmpZFkEQJKe/+XkNGun9ZKydcrlMoVBIguMm7hQEAZ2dnXznO9/hwIED3H333Xz5y19m9erV9PX1cfToUX7605/yve99j2984xt0dHTgeR5RFOE4zqR1v/oElaqIFEhsfCwCPYlFWbqS3BJUs3n6xyNeOt7Fk68cZrgcUp/Ns+vmDdy6ejnFEIpWHEISVnITThqombyOuDDvyOtDAioMQ8rlMq7rkslkEmJSSiVmdA0T2aYgCKhWq+RyOaIoSkjcBHtr0Bk6Q96e5wFQKBQAfV+ZNYuiiLGxMUZGRti+fTv33nsvN998M7NnzyaKIurr6/m7v/s7li9fTn19ffL8rusSBAFRFCXxJwChrvJuVehsnZ7WGyGUD4QgJSqSCOmy7+gJ/u0Xv+P5108we9lKTvT0IIXiM7tu5ct3bmLNzAYyIWSF8RQv/JYS0rrOb9ATJ07Q1dVFe3s7ixYtwrbtJLti2/Z1//4vFkIIyuUyJ0+e5MyZM9xyyy24rpsEeo3lWYMmKMuyGB4e5rXXXmNkZIR77rkHmLBEDaFLKRNCAxLisSwLy7Im/axSqQAkpKSUwrImDIyrH4NiQv9JISCyIbAhtBHKJgIqlqJiK4aro/T0dGJ5JXbeuJ4/un0TS2Y26N69KML3qigVXfAGNG/+er45jYl94sQJDhw4QGdnJ9VqFSAJPqaHTdQAY2NjHDp0iGeffZaxsTFs20ZKSRiG+L5fs6BiWJbuqzh37hwvvfQSzz33HNVqNbGcjHVlCjUNSZmizCiK8DwvCaIbOI6TZO/M/iyXy8n+vOounmmL04aPiOVOgEiiLIEPVKXCcwJwA/I5yawZM/nTe+9g+cx6GgFXKZQEy8m8zyt9cqawmEBlNpslm80C+oQymRH45KzFB8F1XYBJaW4gWT+orVUapiRASvmumqW09WR+JwxDLMuir6+P5557jpMnT7J161bmzJlDe3s7+Xx+EpEZwjLPcdUJCqY4ZIak4mi1AgIV4uYscnkbGZbYsnYLdarCcJcPjsCRHpXqOFgKaTmoVBfd1M11vVtSQggGBwcZHh5mYGCA7u5uoiiiWCxOSgNDzYqSUjIwMMDw8DCe59HX10e1WsXzPBxHjx2rVCqTiP2TjGw2y9mzZxkaGmJkZIT+/n48z2NsbCwhcxNGqFar1NXVUS6XE6LyPI8HH3yQf/qnf2LLli20tbWxbNkyVqxYwezZs8nn8zQ1NWHbNsViESnl9CCoSRSiFPgRSAshYcjzyWazzGpppjFn44YVDj73JEcfewS3UsaNAqQMUTJECUUkLa1K8D4wWYf3vabYXZpuuJhrP3fuHENDQzz//PPMmDEjOZHM35ob7pNOUADVapXe3l4qlQonTpwgk8kkmaRqtTrJqrpecTH7wPd9XNelXC7T3d1NuVxmaGgoidWFYZjE66rVKtlsFtd1GR4eRghBsVikXC4nAfannnqKSqVCQ0MDs2bNorW1ldmzZ3PDDTdwww03cOutt9LU1DQ9guRV4pYWBTJAS2pKwIFR4Jzn0TPYT//QEHYEmbKP6wW4YYitQqRQYIGyBEEYocT7E1TaB/7Y13+Fl++DbhYhBPv27aOnp4eFCxeyYsUKisUiURQRBMGHzkxdzO9eq0Rn2zbDw8Ps3buX3t5e7rvvPubMmYMQglKphOd5FIvF5Kb6uDAu0AchDMNL8noXi4u5JsdxCMOQzs5O9u3bx9jYGH/+539ONptN4k5mjwFkMpnkQKyvr2dgYIDnnnuORx99lO7ubpqbm1m0aBFLly5l3rx5tLS00NzczOzZs2lra8O2bV0ac1nf+UXCSqJQcel4vF5RBBkJbRmXGbPbCGa3YaGLMV2mSYR/GmJsbAzP81ixYgXbtm27pIR8vWF4eJjR0VFs22bLli00NjbWygsugCAIsG2bWbNm0dvbS29vL7fccgugrStTnDkVZi17e3vp6+sDYNmyZcycOZO5c+cyY8YMcrncpPVOr/9VJyhBhENEpPTsBIVEWlLPMAjACnSPb1bqVhglFEpASESoFBKBjAQijLNTljBF6Vfm+q/wRv4ga8Wc0r7vJ6a3SfGm07uX6vXMa16LMPHIgYEBenp6ktMfqJVlTIHJ4pVKJQYGBhgbG0t+Ziw+KWVSDZ7OznmeR2NjI/fccw/33ntvEq+CiQpyU15gXsfEia86QRlIQpQQ+HH9uCXAtgEP8PUGEZYCW6GsCF8YkTmBLSVWqodOiA++iS8VrvTmvRiCaW5uZsWKFcycOTP5GyFEkoExgfKLWYeLeb1r9QY2maY1a9bQ0tJCPp9PSMqs1aV+vYt5zitt8V5MXBP0mtTV1bFly5YknmQ6FNIHYD6fByberyEek+ErlUq4rpvEQg0ppesUzf686jEoiCDSfXKhsPCxdBtcBBklECHgowXKZQSOQrkRXkxOAomtJHasxKmtrPdf8IvdAFd9aS6AiyXXarWKZVlJFbkJYiql8H0fKWWyMT7ua37UdZr6vFd6vdM1O0EQ4LounuclNT2mqvlir+ti3s90jOldzDUFQZCQkLEugyBIqsmNpW72lYlJmfVLa0WZmqd0IirdLpO+P6cBQaGHcQqFQiZNvHHce7J+OMQyB1Fc2CmTh5IC8ou4f83imIWIoohKpUI2m00WDyZK+E2A0Cyu7/sopZIamqkl+mZJ053apjo2/cGBJhJzAl0umJPso7h3po7FbD7zntLrYts2nuclJ6XZkOb0NM9l1sa4nG+88Qa9vb3MnTuX9vZ2XNedaHG4QEzCZNbSLsLlwkdds/SNZhpf04eFcbvNZ27WzfM8fN+nvr7+XXsNmNSjli6O9H2fKIrIZDIopRgfHyeXyyXrbj6HdI2Sub6P4kmk6cJ8julrmtqtkS7rea+fT33+aaeoadQz43EIJN+Yf9+1R+SFA+QXud7pRe3r6+PgwYMcP36c2267jZUrV5LJZJITIXnFuAdJCJFUGxuySfvOnuclp3A2m01OkLQMhVKKSqWC4zjJxrqcgdmPuhlNK8jvfvc7Ojs78X3/XeSdz+f5+te/TkNDw6Q+NkNU5gYzGj+muC8IAl544QV++MMf8sUvfjHJCJl4xNST2LzmlXJ/PuyaHT16NKnet22bDRs2sGPHjklxP3MwZjIZxsfHeemllzh8+DBDQ0MsXryYbdu2UV9fP+nANCUiUw86s2cMcZm1LhaLiYWTPgzTxJ8mibS0ycWui0H6UJ36uaR/70Jr+V5rO/Xx6UFQVxjpE2V4eJhnn32WZ555hvr6ehYvXpwQlCGjcrmc1HUY0xZ4V2W2UiqpozEnZdq/Nt3yhrQqlQq5XG7Sc0w3+L7Pr371Kw4cOMDSpUtpb2+nrq4Oy7IolUrU19czPj5OsVic1K5gqoJd153kXppsUKlU4vz58/T19SX9WDC5RqtcLifPY1nWpFad6YYjR47wgx/8gNdee42GhgaWL1/O7NmzWbly5aRmbWMtnTp1iu985zscOnSIUqnE9u3baWtrY+HChQmhpHvZwjCctFeAhPyNteW6LtVqNbFE071v5oBIew1pC3e64hNJUOb0l1Liui6+7zM0NJS4bunAXqVSYXBwMLmx8vk8hUIh2XTGkhoZGUl8clPQNjIykmyq+vr65Gb1PC9pSp1qXU03lMtlxsbGCIKAL33pS3z+85+nqamJMAwJw5BKpZK4JZZl4TgOnucxMjKSWAFKKYrFItlsNnmPrusmPzPuTrVaZXBwMPl9Q3AmRlStVpOYx3SD2Q9z585l4cKFvPbaa/zud7+jo6ODGTNmJBaNsUqffvppzpw5w7Jly+jt7U1kcWCiKHJ8fDx53Oh1l8tlOjo6JjXUBkHA+Pg4URTR1NTEyMgIo6Oj+L5PoVCgpaVlkhUFXHar/VLhE0lQMOEDmw8pk8lM6r3yPI8XX3yR3/72twwODlKpVDh79ix1dXXcdNNN7N69m82bNwMwMDDAM888w/79+wmCgIaGBkqlEsePH2dgYADLsrj55pv5whe+wPr16wEde8pkMu862aYbHMdJZFmNJWPWLJfLkcvlGB8fJ5vNEoYhx44d49lnn+XgwYMMDw8ncZL29nZ2797N7bffTqFQSE72arXK0aNH+eEPf0hnZyc9PT2MjIzQ0NDAokWLuPvuu9m4cWOSGZquqFarVCoV2trauOuuu3Bdl0cffZR169axY8cO6uvrk7U4fvw4P/rRj1ixYgXr1q3joYceQkpJQ0MDnuclpQ8PPvggR44c4ezZs8kBKKXknnvu4c4772ThwoU4jkN/fz8//elPefTRR/nGN77BI488wunTp5k/fz633347O3fupLm5mWq1mljw091yMvhEElQ6LiCESFwME/QFknjTypUraW9vZ+7cuURRxH/+53/ys5/9jCNHjvDd7343qXo9c+YMDz/8MKVSiZ07d3LnnXeye/dubNvmZz/7GQ899BBDQ0N87WtfY/Xq1QlBmlStCbhPNxiLb3x8nGeeeYbu7u5EY8r3fRYvXsxtt91GPp/nxRdf5Ec/+hFvv/02d999N7t27aJSqXD+/Hl+/OMf8w//8A+cPn2av/7rv07cvebmZvbs2UMYhuzevZtly5bR39/PwYMH+fWvf83rr7/OX/3VX3Hvvfcm4mjTkczN4eZ5HgsWLGD+/Pl861vfYu/evSxZsoS6ujqEEJw/f54HH3yQcrnMvffeixCCQqFAGIYMDw/jum4SO2psbGTLli3MmjWLxsZGRkZG+P73v8+3vvUt3nnnHb72ta8xb948xsbG6O7u5pVXXuEf//Ef2bFjB3fccQft7e3MmjWLYrEIMEnKZGqiZ7riuiOo98oOpJH+WTq9bFQVoyiioaGBLVu2sHLlSs6fP09PT0+ipZzP5+nu7ubw4cO0tbUl6gGWZbFixQruv/9+7rjjjuQ1mpubeeONN3j11Vfp7Oxk1apVgL75jZtjYl7m+i50/VfDJDfkWalUOHPmDJlMJol5FAoFMplMIvT2+OOPs2/fPlasWMHq1avJ5XL4vs/8+fO54YYbOHbsGI899hg7d+5kyZIljIyMALBu3Tq+8pWvsGPHjuR1t2/fTrVa5ec//zmPPfYYGzZsSETPpmYH049d7vVJx8DM12n9IxMKWLVqFZs2beLJJ5/kxhtvZO7cuRSLRd58801+/etfs3jxYu68806OHj2a7Dvj4oVhyIwZM9i1axeDg4OcPXuW3t5exsbGWLp0Kfl8nn379vHpT3+aefPmJa9rWRa33XYbX/3qV1m0aNGkYHh6EEH6mqe7m3fdEdQHwXwgJg5kSguq1Wris0speeONN/jtb3/LY489Ri6Xo7GxkebmZsbGxpBS4jgOAwMDAIl2UC6XY+HChSxYsCB5LaUUzc3NFAqFpCnVBDDL5XJyEwMfKptyJVGtVpk5cyb3338/9913XyKGb1kWrutSKBRQSnHmzBlOnz5NXV0dv/rVrxKXJpvNMjY2xg033MCCBQsYGRkhDENaW1sZGBhg7dq1rFmzBmBS8mDRokWEYcjQ0FBi2aazogaGMNNEf6WbvY0VbjJvzc3NfPrTn+bo0aM89NBDrFq1Csdx+OEPf0gQBHz9619n9uzZ/OEPf6BcLie9ZzDRT/mb3/yGo0ePAtDS0kJdXR2jo6MopZJ2JpiQKxZCsGXLlqSf0KxnOlNn1s0UTn7YLN6VxvS9so+B97I+ptZmgA5IVqtVGhsbqVarhGHI6OgoP/nJT/j3f/93tmzZwt///d8nJ9fzzz/Pd7/7Xbq7u5MP2/ybzWapq6tLAuPmRjPVtiY4b2A2pDHrp+NpppRKGmdNkqChoYH6+vpJpGDbNtlslpaWFnbs2ME3vvENmpubGR4eTrJ+QFIPZE70YrHIiRMnOH36NM3NzQghyGazlEolTp06lUh5mBhUOsFgsnpp68lk+670Opp+MnPYZDIZtm3bxt69e3nooYd49NFH8TyPJ598krvuuou77rorWQ9jlabbSb797W/T3d3NV77yFT7zmc/Q2tpKQ0MDJ06c4Mknn5xUrwd6L+Xzedrb2yfVO6Wrsg3SiZnpTE5wnRLUVJhNbAjA6P6USiUef/xxnn32WebOncuCBQuwbZuenh56enoQQrBw4ULa29sZGhqiq6uLPXv2cPjw4UkntCEez/MolUrJaZr278fHx6lWq5NOtsHBQR5++GEqlQrbt29n5cqVF912cCVhbn7j/sJkV8e4NZ/97Gfp7e3l2WefpbGxkd27d9Pc3EylUqFSqTA0NEShUGDRokWAXpPR0VEeeughWltbAZJyhaeffpqnnnqKlStXsmPHjiSAbILwq1atYt26dTQ3NxOG4VWX53Vdl1KpNKmfr1AocPfdd3Pw4EH+7d/+jbGxMebPn883v/nNZB+Y8ILJioKOkXZ2dpLJZKivr6eurg6AAwcO8P3vfz95jfRnUS6Xk/YTky00RO37Pvv37+fo0aOsWLGCtWvXUldX9y51y+mITwRBGZiT9j/+4z944YUXGBgYYHx8nAULFvAXf/EX3HTTTeTzeRYvXsz999/P2NgYzz//PH/zN39DoVDAcRx832fFihWT0t1RFNHc3MyCBQuYOXPmJGsBtIU1d+7cJF5j/ubkyZP88pe/5MyZMzQ0NLBy5corvygfgCiKWLRoEWNjYxQKhXfF7xzHIZvNMjIywtatW6mrq+M///M/eeKJJ3j55Zdpa2sjCALeeecdWlpa+MIXvsCiRYuoVCoUi0VWrFjB0qVLCYKABx54IHG5Ozs7aWlp4U//9E+5/fbbiaKI8+fPc+jQIb73ve9xzz330NzcTENDw7tiTxfbZ3ip16m9vZ3m5uZkGIBSis2bN3P//ffzk5/8hJGRET73uc+xfv36Se1Gs2bNmhSwdhyHBx54gB/84Af85Cc/Yc+ePeTzeUZGRqirq2PTpk1JXR5ot3fGjBksWbIkydSlizrHxsZ48cUX+cUvfsEtt9xCQ0MDa9asSbTqp3NGb3q0ulwmpEsJ0hZUV1cXJ0+epFqt0tzczJw5c5gxY0Zyc5jCtsHBQbq6uujr68O2bWbPnk1rayvlcpnx8XFaWlqYPXs2oEsNzpw5Q319PfPmzZvkxlQqFbq6uvA8j7a2NmbOnEm1WiUIAo4dO0YYhsyfP59Zs2a9q2Vg6vu50jdetVqlp6eHvr4+5s2blwjgAZP6skw9k5SSkZGRpFzAqFUWCgU6OjqSrCfA+fPnGRwcpK2tjSiK6OrqYnBwMKnnaWtro6mpKYnrBEHA+fPn6erqorm5mdbWVvL5/KQKfYPLtU7vFSTv6+ujp6eHTCbDvHnzEpdPSklXVxcDAwPYtp1ctyGP8+fPc/bsWQBaW1uZMWNGYpEePXqUvr6+RBvdkNA777xDpVKho6OD5uZmSqUSvb29jIyMMG/ePBobG5N9bFxeI5FiPodisfiRKsmvNK5rgkrjgzZv+uZPF9W9l8aNeZ73S3u/18/S/WgXes7phKmkOPU60/rTBu/3Hj7sTZFu8bjQc03t8ZoumLqfpu6tS2W1vF9P24Ue/6CfTTd8YgiqhhpquPYwvSNkNdRQwycaNYKqoYYapi1qBFVDDTVMW9QIqoYaapi2qBHUdQpTApAu5vM8LynyM8J6BqYX7L0KRU1zqWlkTbebfFCe5VLnYdJdAUbMzVzT5cr5VCqVSYWU6WZvszbp6zHfT2cNq2sB07cAooaPjKm1OmnlT1MaYfSLTGvG1LFBprI5LXaffk5DeKbt5Eoi3WJjUvhGHcE0YF/qFHq6dy0tPGjkdk2lPUzuqTR9ctNV72u6o0ZQ1yFM/VVaEG9q7YupLUprjRtLwPQNpqWNYUKy1vx3NcgJSBRO0/VqBrlc7pJbLKZuK61SaQjRSDcbAjPrbQ6E9OcwHXstpztqdVDXIdJWU7oJ1chu/P/tnV1Mm+Ubxn/QllKgX7SlLayFwjKbiQQhMywYUedm3JYsMZoQMg2JmsyY6AGJh5557hKjceqMH1GmWSIHG3OaRZOxbIojmTKWyUC+YUhL+eoHhf0PlufxafflluWfhj3XCaW879v3bfJc3Pf93Pd1qWQlSEgoMqiidNkNmOq1xflqZHa7+7mfCzORSMgxD7VJUzyvGGy+X+Qp7l9EleJ7U/+W3YipPrOIoiB3FStyFZqgNiBESiFSH/W/ukhHbgeVwFZXV5menpZyMk6nU9pai8jgTp3c95ugRH1NaJ3Pz8/T39/P8vIy27dvl5LM9+szxf2r9Twx15lKpejv7ycajeL1eqmqqpICcarBhLiGTvPuDprONyDUtE0sJhFxXL58mTNnzjA5OSmjpcXFRfLz83E6nUQiEVKpFDU1NbS0tOB2u/nwww85d+4c4XCY9vZ2tm3bdsPs2//7+YSEzejoKJ2dnXzxxRdUVVVRU1OTIdZ2vz4PMj3d1DnPgYEBPv30UywWC6+//jp79+4lnU5LUp+fn88YFNf479AEtQGhplzZBfPLly9z7Ngxzp8/D1z/7z4+Pk5xcXHGhHxtbS12u51nnnmGQCDA2toaHo9H6jKJqEkMtqpQIyah9CiwurpKKpWiqKiIvLzrBgKCbLKhFpfVBS+uNzk5SWdnJ5999hlGo5GOjg68Xm9GSivuVfWay/ZFFBDHqClsduQjal5iYNpsNrNz505OnTrFyZMn+eijjzAYDFLOVwyM57JiQC5DE9QGRPZgtKgvGQwGdu/ezY4dOzAYDKyurnL8+HHefvttjEYjr776Ku3t7bjdbmlfdO3aNZqbm6mtrcVsNuPz+VhZWWF8fJxoNEppaSlms5mZmRmp+lBZWUkgEGB5eVmK0RUWFlJTU0MoFKKoqIiVlRWpxDk2NsaVK1eYm5vD4XDgcrkIBoO4XC6pygnXBQHF60QiwZkzZ/jpp59IJBK8+OKLPP300wCMj49LeWKr1Uo8HicajbK8vIzH46GyspKCggJGR0cZGhrCZDLh9Xql3I1IhQFisRiTk5NMT08zNzeH1WolEAhIJQWr1UpZWRkHDhxgenqa06dPU1paSigUIhwOk5eXJ73qcl3aJBehCWoDQjUVFdZagHxPLL6CggKcTifxeByz2SxNRA0Gg5QLiUQifP755/z44480NjbS0dFBaWkpR48epaurC4/HQygUYmZmhuHhYdLpNKFQiJqaGpaWlohEItfmWNcAAAfuSURBVExOTvLPP/8QDAZ5+eWXaWtrw2w2c/XqVTo7O/nll1+YnZ3FaDTKrftgMEh7ezuPPfaYdOQVPwsKCojFYvT19XHx4kX8fj9PPfUUcJ24ent7OXjwIOl0mtraWpLJJMPDw4yNjREIBGhqasJgMDA6Osrk5CQTExNYrVbeeust9uzZg8PhYGlpid7eXrq6uvjtt99k3e3atWtSUmXnzp3s3r0bg8HAtm3b2Lp1K93d3fz+++/09PQQDodv2GXUuDtogtqAyNbkVsnqZkXa2dlZ/H4/NpstQzJXaLevra0xMzPD0NAQCwsLeL1eUqkUg4ODTE1N0dTURFtbG0tLS3z88cd89913PPTQQ7z22mu0tLQwNjbGwYMHOXv2LKFQiH379pGXl8eRI0f44IMP8Hq9tLa28sQTTxCPxzl69ChHjhxhfX2d4uJiGhoaZM1LpIKxWIzx8XGWl5eprKykoaEBuJ6mraysEI1GmZqaYsuWLbS1tVFaWsrXX3/NV199xaVLl9i7dy/79++nuLiYQ4cO8f3333P48GHq6+txOBycP3+eTz75hB9++IFdu3bR2tpKXV0dIyMjfPnllxw/fpy//vqLsrIympqaAAgGg4RCIeLxOH/88UeG9LCOnO4NmqA2IFQHj2wddrENnkwmpTV7aWmpFNYTrQWiDmM2m2U/j4iyANnsWVZWxksvvUQwGCQajXLq1CmcTqckjfr6ehobG+nq6uLs2bNSBLCwsJALFy4QiUSw2Wz09PRw7tw51tfXmZ2dJRaLMTAwwMDAAJs3b8ZutwP/WmynUinZ3S3MLwDpYJyfn09FRQXbt2/nySefJJ1OEwgEcLvdGAwGWlpa2LVrF9FolEceeYSenh4uXrxIJBIhHo9z6dIl+vv7cTgccmPA4XBQWVlJOp1mYmKCvr4+Tp8+neG4LAwlVldXZTEfbq9rpXFraILagBCLVGxzi14oMYKh+vAJlxnh3Jvd07S+vk4ikZCLTdSEhPGoy+WSpGU0GrFYLDJ19Hg88hqpVAqz2UxJSQkrKyuSFAEpd+x2u2XUsW/fPvm+OE4tyBcXF+Pz+bDZbCwuLjI9PZ2hJJlOp3G5XDgcDtnx7nK5ZDoriEPd5UwkEqysrGAymTCZTMRiManYqe7ACZPXVColrcgAJiYmGB0dJRgMUldXl6GqqtO8e4MmqA2Mm2l1w41KiqlUSnZgqztY4hyj0ShljgVRWSwWjEYjCwsLMkoT7rpi0QvyE3WwtbU1abFUVFREKBTC7XYTiURwOp288MILWCwWotEo4+PjeDweysvLKSwszLANt1gslJWVUVlZic1mY2pqij///JNwOJxR3E8kEtJEAMiYkRPfhfh9aWlJOiQbjUbC4TDNzc10dXVx6NAhUqkUjY2NDA0N8c0333DhwgVqa2tpaGiQrRozMzOk02ncbjdbtmyRRXEdOd07NEFtQNyqcTK7/pROp0mlUtLSSN3CVwmqpKSEiooK/H4/JpNJdmr7fD48Ho9c5CaTCbvdjt/vl3bpcJ0E7Ha7fG99fR2r1corr7yC3+/n22+/5b333uPw4cNyl9BisbB//36ee+456XxSWFgoLdaLiopoaGjg0Ucf5ddff6W7u5vm5ma8Xq9MWx0OB3a7XZ6Tn5+P3+/PiKDEsX6/H6vVKr+j+vp63nzzTYLBID///DPvvPOOTGstFguPP/44e/bsYceOHdhsNk6cOEFvby9Op5OWlhYefvhhSc4iMtVd5HcP3Un+gEJES5FIhIGBAdlCUF5eLv9eUFBAMplkZGSEmZkZ7HY71dXV5OfnMzIyItsCqqqqKCwsxGAwMDg4yN9//82mTZsIBAIyMhseHmZ6ehqr1Up1dTU2m00O3gpThmg0SjKZxOfzYbFYqKiokP57gEyZ1PT02LFjvP/++wwODvLGG29w4MAB1tbWuHLlCvn5+WzatAmXy4XRaOTq1asMDw+zurpKdXU15eXlxONxYrEYQ0NDAGzduhWn0ym/n/n5eWZnZxkdHWVxcRGbzSbNDXw+H3l5efT19fHuu+/S29vLs88+S0dHB+FwWM4MqmMuOtW7O2iCekBxM+F80ZQYj8fJy8vDbDZnEIJQMBCDwup5oiFTjdJE7elWQ8UiHbvTmIy4T1VCRtzD3NwcJ0+epLu7G7fbTWtrK/X19Rn3LAgi2zfvZvOG6hzd7cwwxAziwsICXV1dnDhxgs2bN/P8889TV1cn5xvVe9ep3t1DE9QDjGw1ALWRUKSJ6gCuKL7Dv71WYiGKLm2hzWQymTIstFSJFHF9ke4JZB+j2pyL/iw1bRSfn06nicViJJNJSkpKsNlsctdMHepVrcLVlgsRyZnNZhKJBAaDIeNZVfsmQVzqshE2UB6Ph+Li4gxSFv53t6r/adwemqAeUKjF8GxCEEQhIgWRWplMJnms2BUUygdiAau9SqrESPbYiSAoVdNJPU4saBH9qAV/NZoS11HPVQeZb9f/Je5Rfa1GgoKYRKSnEqUgYzVqTCaTrK+vy5YHcZ5KaJqg7g6aoB5QZKdOcGMRPbuH6mZ9VeJ19vG3O/9OCgi3Mi+9kyqCGg3+18/KftZssrzdvWc/r0rekNkWoQnq3qAJSkNDI2ehxWk0NDRyFpqgNDQ0chaaoDQ0NHIWmqA0NDRyFpqgNDQ0chaaoDQ0NHIWmqA0NDRyFpqgNDQ0chaaoDQ0NHIW/wMXYHmIEigJAAAAAABJRU5ErkJggg==)
What relationship between money (in$) and time (in M) does this graph show. Write a description of the given graph
![](data:image/png;base64,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)
Find the GCF (GCD) of terms of the given polynomial.
![15 x squared plus 18](data:image/png;base64,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)
Find the GCF (GCD) of terms of the given polynomial.
![15 x squared plus 18](data:image/png;base64,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)
An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time
An airplane takes 15 minutes to reach its cruising altitude. The plane cruises at that altitude for 90 minutes , and then descend for 20 min before it lands. Sketch the graph of the height of the plane over the time
Is the relation shown in the table a function ? Explain
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)
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
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)
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
![](data:image/png;base64,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)
All functions are relations but all relations are not functions.
Is the relation shown in the table a function ? Explain
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)
All functions are relations but all relations are not functions.
Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.
Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.
Does the relation below shows represent a function ? Explain.
(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)
Note: All functions are relations but all relations are not functions.
Does the relation below shows represent a function ? Explain.
(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)
Note: All functions are relations but all relations are not functions.
The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.
a) Make an arrow diagram that represents the relation
b) Is the relation a function ? Explain.
Note: All functions are relations but all relations are not functions.
The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.
a) Make an arrow diagram that represents the relation
b) Is the relation a function ? Explain.
Note: All functions are relations but all relations are not functions.