Question
A baker has already made 10 cakes . She can make the same number of cakes each hour , which she does for 5 hours. Sketch the graph of the relationship between the number of cakes made and time
Hint:
Use slope – intercept form
The correct answer is: end point of the graph is (5 , 60).
SOL – Let no of cakes made = y
Time taken = y hours
Acc. to the question, a baker has already made 10 cakes
When time, x = 0, no of cakes, y = 10
y – intercept, c = 10
We know that slope is given by rate of change.
And it is given that she can make 10 cakes per hour.
Slope of the line = 10
Using slope – intercept form, equation of line is y = mx + c
y = 10x + 10
Also, she made cake for 5 hours i.e., x = 5
y = 10(5) + 10
= 50 + 10 = 60
So, end point of the graph is (5 , 60).
![](data:image/png;base64,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)
Related Questions to study
How can you determine whether a relation is a function ?
Note:- 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.
How can you determine whether a relation is a function ?
Note:- 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.
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.
.
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.
.
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$) and time (in M) does this graph show. Write a description of the given graph
![](data:image/png;base64,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)
What relationship between money (in$) 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==)
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.