Class 10th Mathematics CBSE Solution
Exercise 14.1- A survey was conducted by a group of students as a part of their environment…
- Consider the following distribution of daily wages of 50 workers of a factory…
- The following distribution shows the daily pocket allowance of children of a…
- Thirty women were examined in a hospital by a doctor and the number of heart…
- In a retail market, fruit vendors were selling mangoes kept in packing boxes.…
- The table below shows the daily expenditure on food of 25 households in a…
- To find out the concentration of SO2 in the air (in parts per million, i.e.,…
- A class teacher has the following absentee record of 40 students of a class for…
- The following table gives the literacy rate (in percentage) of 35 cities. Find…
Exercise 14.2- The following table shows the ages of the patients admitted in a hospital…
- The following data gives the information on the observed lifetimes (in hours)…
- The following data gives the distribution of total monthly household…
- The following distribution gives the state-wise teacher-student ratio in higher…
- The given distribution shows the number of runs scored by some top batsmen of…
- A student noted the number of cars passing through a spot on a road for…
Exercise 14.3- The following frequency distribution gives the monthly consumption of…
- If the median of the distribution given below is 28.5, find the values of x and…
- A life insurance agent found the following data for distribution of ages of 100…
- The lengths of 40 leaves of a plant are measured correct to the nearest milli…
- The following table gives the distribution of the life time of 400 neon lamps:…
- 100 surnames were randomly picked up from a local telephone directory and the…
- The distribution below gives the weights of 30 students of a class. Find the…
Exercise 14.4
- A survey was conducted by a group of students as a part of their environment…
- Consider the following distribution of daily wages of 50 workers of a factory…
- The following distribution shows the daily pocket allowance of children of a…
- Thirty women were examined in a hospital by a doctor and the number of heart…
- In a retail market, fruit vendors were selling mangoes kept in packing boxes.…
- The table below shows the daily expenditure on food of 25 households in a…
- To find out the concentration of SO2 in the air (in parts per million, i.e.,…
- A class teacher has the following absentee record of 40 students of a class for…
- The following table gives the literacy rate (in percentage) of 35 cities. Find…
- The following table shows the ages of the patients admitted in a hospital…
- The following data gives the information on the observed lifetimes (in hours)…
- The following data gives the distribution of total monthly household…
- The following distribution gives the state-wise teacher-student ratio in higher…
- The given distribution shows the number of runs scored by some top batsmen of…
- A student noted the number of cars passing through a spot on a road for…
- The following frequency distribution gives the monthly consumption of…
- If the median of the distribution given below is 28.5, find the values of x and…
- A life insurance agent found the following data for distribution of ages of 100…
- The lengths of 40 leaves of a plant are measured correct to the nearest milli…
- The following table gives the distribution of the life time of 400 neon lamps:…
- 100 surnames were randomly picked up from a local telephone directory and the…
- The distribution below gives the weights of 30 students of a class. Find the…
Exercise 14.1
Question 1.A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house
Which method did you use for finding the mean, and why?
Answer:The above given data can be represented in the form of table as below:
![](data:image/png;base64,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)
Mean can be calculated as follows:
![](data:image/png;base64,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)
where fi = frequency of ith class and
xi = mid value of ith class
![](data:image/png;base64,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)
= 8.1
We will use the direct method in this as the values of xi and fi are small.
You can also use assumed mean method, but it's not necessary as the values are very small and assumed mean method is better for large values.
Question 2.Consider the following distribution of daily wages of 50 workers of a factory
Find the mean daily wages of the workers of the factory by using an appropriate method.
Answer:The above given data can be represented in the form of table as below:
let a = 150 [assumed mean]
![](data:image/png;base64,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)
Now, mean of the deviation can be calculated as follows:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= -4.8
Mean can be calculated as follows:
x = d + a
x = -4.8 + 150
x = 145.20
Method 2:
Now we can also calculate mean by the formula:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAACJCAYAAAClxU28AAATiUlEQVR4Xu2dCRC11RjH/9mX7IWiokHImsSUJGQJxUhIiTSVRlO0CdGiRjulIlkqLbIloZAWykSRqDCpCaWIylJEmF89J+933Xvfe9/7vu95733/z8w39H33nuec55z/Pec8y/8sJYstYAu0YoGlWtFiJbaALSCDzYvAFmjJAgZbS4a2GlvAYPMasAVasoDB1pKhrcYWMNi8BmyBlixgsLVkaKuxBQw2rwFboCULGGwtGdpqbAGDzWvAFmjJAgZbS4a2GlvAYPMasAVasoDB1pKhrcYWMNi8BmyBlixgsLVkaKuxBQy2xV8Dy0v6laT7ZBrqPyStLemHmfR3Rq3B1pmpaKwj95R0nKTXFzQcLunEGTQC3OUk0fZKkpaWtKKkZ0laeUi7n5P0Rkn/mUHn3H/VYJv7KZxoAA+WdLakp8en/yzpFZK+N9G3p/vQwyS9TNJrJb0yAPk3Sc+WdPl0TS3Wpw22xZrPcaN5qqTvSFomPnRNHO+uatAEj5e0r6SNJB0padsGdXW+aYOt81NUawfZaT5fuL99X9KLJd1Sq5YlG2ONbSFpL0lrSrq6QV2dbtpg6/T0NNK5d0o6uNAyO847JP27EW3/a/TNkh4n6f0N6+ls8wZbZ6emsY7dTdLHJW1Z0PAuSYc0pvHOhtHLkXJ/SX+aUNfzJb1UEkfem8KpM7dOFoNtwllfsI/hMPlmOC0Y2t8lvU7SaR0a5zMlfUrSCyRtI2knSc+NMEaHujl5Vwy2yW21aJ98rKTvSnpUDOwPcae6oiMDJTRxL0kbRz/5gQBseFLnUgy2uZy22jr9PElfk/TAaJHA80viyFabkgoN0Z+fxt3yI+HQ4fhIgHxuxWCb26mrreNvjeNaapAA9GaS/lmbhukbIkxxSXhKz5z+6938hsHWzXlps1c4Lj4q6e0FpTgy3pcx4+NNko6S9ORFChUYbG0u6+7qup+kL8cRkl7+Kxwmp7TYZUC/emSc4BDBE0l8DufNb6cEHeljm8Tx+CJJZ0l3sH+TNfMYSb+X9EVJt7c4PtOPt2nsjut6hKRzJT0h+nmDpBfG3amNrpNnuaGk+0p6jyRSvD4cin8s6dIJOwGYXi3pM5L+IuloSQDu1khPI4RwcoDt0AnbrOVj3tlqMePCNPK0yKF8SIzol7HDXN/iCO8v6WJJJ0nafUq9JEgTMzygcOfcPI7JbwmAbS3pY5E6RkC/NTHYWjP13Cgi0+OTku4RPSYe95qGU7qKxiHLhIRl4n7THmM5Jv4mnCupzV0kkTWzagTT8XSSFM3RsumsmSUm3WCbGwy01lHWxAfjKJeU4jB5b0s9eLmkr4dzZNoqgUdL+t3AXeyrcTRdL6PD5w7TGWwtraA5U1OsgWuyHGeYWfCCkkrGkXbWAPYDJP0kQhv8gGQVgy2r+TurnHWxj6TtI4ODwHdb8pXwIuKcmTUPkuPiDyStE86ftsYwVI/BltX8nVXOHWe/2GGObbGX95Z0YThptptQL3cw7l5/HfL5HSS9O+5rfyz8O2VFBMtnBfOEXbzzYwbbVObqxYfx3lEVsKskUqXaFPI0fx4B9s9OoPhBkggLUHGOt5GdGBc/3kbW9hmSiCESs0vOkIcGRcQwT+Q44E7QnfEfMdhmNuFCNbCBJNK1PhTFnq3+8gcozpG0WoCozLjcLbnf4TEFKD8K58qrJFE1wFGYcACVAwiBc3ZtqgluHGi8CFw8srWLwVa7See2wXXD1U4QeOe23eJhNY6OuOqfIunmKS1JbJCsEIBEwjJcKMdHnd4Fkn4dIObH5MohbReBCxtZ7WKw1W7SuWxwjcj+PzVqx3IlIZ8QOxT0DVWEnYsMGLJPiLchrPEVIm4I30rbu/Vd4zDYqkzpYn2HZF+OYfz6bxp3njZHyPGNXYwgOpwoh0kqc8qQ+0ignaPjZRGgbrPPlXQZbJXMtjBfgvMRxi2OVVDPzRrXKjMMRzWSf5OzgvsWjgqShqmlw6GxliTyMkcJaxbOFLJcqMfbI1jCqiYVtwZcg61seSzuv5N4fHrkEMLzOCkvSFWLUHVN2QxASW56/psjLLsUJLKAjDvjOFklskuoUjgo/v/6FY+HdQN3bMcNtqpLZ76/B8UA9zMAR8D3uoaHwzrbM4C9d0EXOytAY6fDO4i7v+xOBZ0DFA4I2fy0y12vitQJ3FL9BlupiRbuA8SdKDGBHZn4U5MkrRiPo+NukggwQ09elz52Y3ZBqroH3fiTTlqdwC3VabCVmmihPsDCP0YSbn64RuD5aEpYW4CZnETuVpTMwPdfl0A2y9GXkhl0le2I4/TWAdzScRlspSZamA8k+gPuRgSvz2tgZOyaBKTJsMfhQllLEgLLBKzrEDJNKCYlRED2yFaxy1UtmakTuCPHZ7DVMfXdbyMlFnOcY3GeX1OXqarm/sfih9efeNYwwdPI7nZbTXoBM1XWHEuXjWyRaWvfUlfqBq7BVtMkz2MzAG3HqF7O1X+Oenge6xIAQnYIVOakZR0xAxtYncAdOz7vbHVNf3fbIfBLChT3tRwCedCBMzgxRvWZIyspWtfOeF+rE7gGW44VZp1zZYG6gGuwzdW0u7MLawEfIxd2aj2wrlnAYOvajLg/C2sBg21hp9YD65oFDLauzYj7s7AWGAc26ovINMBTk4SoPZwPkwhFfGR0J4GzHeakXIWJk/TZn7EFGrNAGdggzIQghRdOnhQvU/LCSJnA10cBIJzrX4pye/LYvpGp3L6sv/53W6BxC0xyjGRnIyjK28ak25DjVpb0CXU0vH+8/QXZJpzxFlug1xaYBGwkkz4jyDrJfyPRlCPhKAFcZCvw5hePJHCUHPf5Xk+AB98fC0wCNngE4YYgs5ocNwA3qtgQ2jCOjrzVDP/fF2J3649FPVJbYIQFJgEbyZ77R9k6b16RaQ0/3zCh6vbbUcd0WhDIkDBqsQV6b4EysHFf470rCgBfFECihmgY9ztP/Tw8yjcOjvevJr2vcVSFR4LjZnoVkgTWQbl7vB6JLhwulMNTw8Qdskj4wrg2ilcmKf//RTTEcZi7ZKK55oeh7P7Z+0ViA9RjgTKwpfsauxPHRxwdMMqmFyFTL7ijUZTI5yhSpGZqkvsa9U+HSPpZkLfwUuRz4uFy2GyLsnKUaVAKT1n/I4OVifAEDFGwLCXh78gGhyINQOHUAcxUJnPEBWwwOVE0yN1yVmHMPFfE/1YVfjR4zrZqAWRVvf5eSxYoA1u6rwEyigRZrHAMvm2gf4QIiL9xl0t87WX3tcRXyCuRRU55+gRrEh7QtLvBFcHjdTySQHl9EvrH0RYqtBPjL9n9YNblB4G+0HdYpPg7AJiE3Rp6gLVrWOAw+MLGi+6qAsiobm6SqqBq3/y9GixQBrZ0X+N4x+7F8zsc8wgDJFk+6KIBIcLrj9zX4Es/bkQfOZ6eHQFuFnyxgpdgON/lnS4EvcTqADufLR4vWZzE8yB9SZTSAJPdEVDyWsm3ok88sFcUdmHeX64DbDVMRS1NfKCWVtzIoAVg8JpZxoGteF9LirirrShp9eBT59gEiy4LN92ZuK+xi/Brn+5Kgx3lPsURbtvYmWgHkABi6NU4Qiaud4hpOPKxm8LjXhReKyG0ALhSZgrFkgiEo+xeb4hqXo6oSQAwDMD8IWC/KGKwNTOTjYOteF9LQ+C4RwYJ2SRw98E5CKd62lU4RnFfI4MEQI6Kr3HkYgfkvkQ7HO94+IBXIm8asBcPIWw4JDheBhgAzO7Ju1x4SYtC/zn2EnznGViLLdC4BcbtbMX7WuoIO9HhAbbrw/EAM22SdF8jB5Idb5gkQHIsJEDOe1qjBEcGRJzsmrwiWTxu4jDhfkOWCg6TQWGHZGflnTHeGysKr7TsFGy6xUfyGje4FfTXAuPAVryvJQtxzMPZgEOEJ3k4ChYBMMl9jR3n3HBKsDOOc73D3nRJeCsHdye8nxwr030NjniC78mbB5EL90jc/eyYSdgR2X1xnGwWHkTubbPQrHEKoE1+QKoKx154Fot9rdqWv9dBC4wC27D7Gt1/oqTL446GF3FwYUxyX6MddsfEyDvM1Q1o0cMRlXsVR76iB5R+Q1XNIufOxs7HrssLKEl40A8HCuxLxSdg+W8cPTyYxw8HFNT8IR5XVfgBYVefxRvJGK6pwTNadQz+XsMWGAY2/o7ULHYMHkEoChx9gADqMHa+ovBwAsSfAJUsk3H5kACNxQ2XYHpHi7ZYtNwJOVoSOkDgOiROBmtt2gVh1oXOmt2AHYwwAsdKvKCpnVH3NeJtvICCA4fAOGNkh+RNL4st0JgFimCjfo34FhkWAIY/V0TQGdc7AqDYlVjoaXHiWeQPv+zLhauevEhAift+2MPitMWxcGNJn46jKNkm9AGPZ9GLST8IfPN37KQ4XghU87rkJyThgXtupJQlgPPmF/c5At2DHkzozyj1IQWN/hLk5qhqsQUatUBZnK1R5QFejnCAhB1u3G5IhgZeTu5aKcwAENnRAOJgUSrZKaOOZfxooJfnXG9pepBu3xbAArnB5lmwBXpjAYOtN1Ptgea2gMGWewasvzcWMNh6M9UeaG4LGGy5Z8D6e2MBg603U+2B5raAwZZ7Bqy/NxYw2Hoz1R5obgsYbLlnwPp7YwGDrTdT7YHmtoDBlnsGrL83FjDYejPVpQOFS4ZcUYh2cwiJ5dQV/jCH8jZ0GmxtWHk+dFBUC0ETRblJqPBIrGVVRgFwUyXISpKWDg4bSrBIIB8UKDAon1pILk+DrcoSWtzvUGlOHSD1hgj1ghTyUoVet1DpT40iBb4Q/wJ2yragv6A8a+HEYFu4KZ15QBQNQ3q7TLREmRLHu6tmbnl0AxAA7xt1kUdG1X2D6vI0bbDlsXvXtbLTwC+T7m9wu8DB2WTtH2txC0l7SVpT0tVdN9K0/TPYprVYfz4PzTycMknYcaCQaJoeHYJe3nIYpN2Ye8sbbHM/hY0NAD4YKAC3LGjgkRUoKpoU9HKkhLYCjphJBFYymN848sI7ilOnc04Wg22SqezvZ3CYQAeI0wKBtgJi20Ss1AXLwJYGzwykUNsEHyicNIQxOiUGW6emo5OdgRYeUiQInRAYrLlTQQbVBWEXg1MG8ij6yQ8EYMOT2ikx2Do1HZ3tDJSDsJ6ldxQIPPMGwyBVfNsDoD+wqHG3hBofhw7HRwLknRODrXNT0tkOQfNepAUkAA2j9CCrWZsDIEwBDSGe0jPbVFxFl8FWxWr9/A6OCx5CKb76gyMDbtBczggIfY8Kkt7OhwoMtn4Cp+qo4enkIRWOkAhv5eEwOaVqgxW+B+gh6iXjBIcInkjiczhveLm1s6Az2CrMds+/wutAPIzCo5XIDcGi3daLqYCMJ8R4dOU9keKVnp3mTYhLuzo/BltXZ6bb/YIqnhxKqNwRWKrZYXhGrC3hzfaL44XZ3dtSOoseg20W6/X7u2R68EAJ7zMgxON4v6HJlK6ixckyIWG57WNs5Vk32CqbrvdfZO3wjDJHuSQ4TN7bkmV4I5B30nnBaC6qBAy2llbGgqop1sA1WY4zzHx4QUkl40jbuQD2sA4bbAuKgpaGxfrZR9L2kcFB4Lst4Slpgto8cZYr9DDVWA22qczlDw9YgMqA/WKHObZF6/DW+oXhpNluQr0Ak4qFUe8FTthM9Y8ZbNVt1/dvbh5VAbtGqlSb9iBPkwc3CbDz3HOZ8DgmYQEqznHsZBGDLYvZ517pBpJI1+Ldcoo92z7GEWY4R9JqAaIyg3K35H6HxzRbNYDBVjZN/vdBC6wbGSNHS9q5hWLSYTPA0XGXeBf95nmZIoNtXmaqG/1cI7L/T41UqVxJyCeEcwT6hrkRg21upip7R4lncQy7QNKmkm5tuUfcu9jFCKLDiXKYpDKnDNR5BNpxjlwm6ayW+7yEOoMtp/XnRzecjzBuXRnUc03Htbhj3V44onLfggNlkyBxPUPSWpGXOcqKrG04U8hyoR5vj2AJo90sYrBlMftcKSXx+PSoW4PncVJekKqDpOqashmAktz0/DdHWHYpSGRJfubOOE5WiewSqhQOiv+/fgZnzl19NNiqLol+fA+KAe5nAG4dSdc1PGzW454B7L0LuthZARpxshvD3V/mAYXOAQoH5KJol7teNjHYspm+84qpXTs52JFxtTdJ0ooxODruJmkHSdCT16WP3ZhdkKpugJpNDLZspu+0Yhb+MZJw81Mo2mStGmsQMJPUzN3qpOD7r8tAkM1y9N1aErrKdsS69P5fOwZbY6ad24YT/QF3I4LX5zUwEnZNAtLrhcNl1YIOKOkIWNchZJpQTEqIgOyRrWKXa5podmjfDbY6pnRx2kiJxRznWJzn1zQ0qqq5/7H44fVfYUS7sHaxu91Wk17AfGgcS5eVBMdkmxQOSwzDYKtpVhegGdbCjpIOyDgWjnp4HusSwH18UJkDtCNysoEZbHVN6/y3Q+CXFCjuazkE8qADG3BicGSFvuHanPc1DGqw5VhW1tlLCxhsvZx2DzqHBQy2HFa3zl5awGDr5bR70DksYLDlsLp19tICBlsvp92DzmEBgy2H1a2zlxYw2Ho57R50DgsYbDmsbp29tIDB1stp96BzWMBgy2F16+ylBQy2Xk67B53DAgZbDqtbZy8tYLD1cto96BwWMNhyWN06e2kBg62X0+5B57CAwZbD6tbZSwsYbL2cdg86hwX+C9C6HLeBAJvZAAAAAElFTkSuQmCC)
Therefore, from the table,
∑fixi = 7260
∑fi = 50
Therefore,
Mean = 7260/50
Mean = 145.20
Question 3.The following distribution shows the daily pocket allowance of children of a locality
The mean pocket allowance is Rs 18. Find the missing frequency f
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)
Answer:The above given data can be represented in the form of table as below:
![](data:image/png;base64,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)
We can find the value of f as follows:
![](data:image/png;base64,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)
18![](data:image/png;base64,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)
18( 44 + f ) = 752 + 20f
792 + 18f = 752 + 20f
2f = 40
f = 20
Question 4.Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method
![](data:image/png;base64,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)
Answer:The above given data can be represented in the form of table as below:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdQAAAIACAYAAAA7YJ3IAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu2cB7wlRZm+RXIQUEQQUUCBZQkCZgVE1oSsAUFQCTqCrLqKi6iwgiyDYoZ1DX+QVZZZxF3MipIEZUAWUEkSJQgXGBCRYCCn+b/vTPdM3bp9qr9z7rln7pzz1O/3zumu+qq6+6mu/irdecITCBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEJhIYImJUV3FzO3KGmMIQAACEIAABBoJ4FAbsYxMJPXfn6oeJo7D9Cz9qd3BlAL3wXAuXWXuE0uppEEAAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjgEONccIKAhCAAAQgUCSAQy3iIRECEIAABCAQI4BDjXHCCgIQgAAEIFAkgEMt4iERAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjgEONccIKAhCAAAQgUCSAQy3iIRECEIAABCAQI4BDjXHCCgIQgAAEIFAkgEMt4iERAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjgEONccIKAhCAAAQgUCSAQy3iIRECEIAABCAQI4BDjXHCCgIQgAAEIFAkgEMt4iERAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjgEONccIKAhCAAAQgUCSAQy3iIRECEIAABCAQI4BDjXHCCgIQgAAEIFAkgEMt4iERAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjgEONccIKAhCAAAQgUCSAQy3iIRECEIAABCAQI4BDjXHCCgIQgAAEIFAkgEMt4iERAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjgEONccIKAhCAAAQgUCSAQy3iIRECEIAABCAQI4BDjXHCCgIQgAAEIFAkMN0c6od1t3OkudLri3dOYr8JTCX7dXWzp0pXStdJ/9vvm6e8xZrAW3T3Y5Lb/QcW6yeZ/je/rm6xl7ZIHQ2gbt0AomFjGc6SbpBulf4knS0dLK0n1WF9HUwnhzpb93N3dU936HfWgjuNH7xCpv8aN19klt2yj9b/GXqiH1RPtap+7VRd77+XlllkTzt9Lhzl2HbH28nA7+rmbYZTmN7rsyyle8od6nR4niZU0/HdjXKfTFtsqqMnC9Bt0nuaQI1Y3NxBjVB3EdjfSJdLm0nPqPQN/drRXDONwb9C9/bB6v7eqN8ZPdyry1gcHGoPj9aaZQlZbC2dU1n+Wb/Ple6SbpIeby0BgyiBeyumD0QzTHO76fo8i+u7OxVt8VG9QzdL90zzd2mxuL1Ir8gjUzfwf+vwRO9QvCulDt2OkjoU29foPVSan/UlPZY6U/nsSKZ76JZ9pP6X00Pb7r3T/eEX4f1FOC7C2+vq0r0+S9Pop6sLj7hxhPtk2yJ1VH7JBjJC9chsSekrHe7lO4r/cYe0OnptHfyn9FvpYulSaaa0bG1Q/f6Dfv+vsrlMvz+V0rXYZ+v8h5LLuaSy3V+/vYTblckvsX89xXah5B71L6UNkgI91elrrCzNqfTlJP3vdHySNCbdKHl9Y5Mk/UQd+zrWiyXz+lt17nz1sct+peTweclTf077qOSGcLh0USU///HSmtJUBndErq8u8Bn9+h69fvr/JE/5+5k2qtL56UzA9fxgxcvvtcMs6T7JoyW/X2Ztvma6OHRefI9jkp/hXMkd7zQM+nn8Lan5mfUx1c149swdfk9rvlSaind3EO2zl7bYVkfPqZg9pF9/pwiTJBDpFXndsf4IRC63voxcbuoIfXyetGJVgJ3TbOmz1bl/1pDcOLev4jydfYR0WmJjp+cPex3epIPI9FjTCPWZynu0ZMdlJ+fG9nLJa8Q/l9IwUydNI1R3FO6UjpN8v56SsbN13NMlh9Wld0pmcpbke/G0uT9CH5B2q9Kep980+N7eXkWspF/fpzsUDu7gfEEyU1+zDk3sk+QJh5H6X065mj7yrifHbzSh1NGLiHCs38G3VnhW0687Rv6tQyfWgyQaeRYvAdnOG+F8z+6AutPgOL/Tdejmebw236ZVkrI7HX5DCe4Y123Fbfr0zLjf7260fXa6Z8dHuHfi2fQ80TrytS+QTizd3IikReqgiKKtgBWqiv5ZsZTxiU0f9SfJxI4lDXvrxI6nDq/Sge9nwyTOI7D3VOdL69frdf+UpPvw0Oy86bTJodrus5KvuWmS6UAdPyLZQdZhpg6aHKp7u7ZNn83Per/ksutQv/AfSeK20LEd6/KSy7YjroMbzpjkXwffy7rVcf3j3mV+703ss2zjTtvq38a+B9u9NyuofqaNShcYkbQIR6PwTI5H9n5fTpR2yvh0Yj1IjJFnuVI35BmiNLxWJ87bi0Otn9v5S/JIsy24s36zdJZkR+fZsHWyTP1+d6Pts3TvEe6d3o+m54nWke/pAsnv46iHuZ5qGESIVHbpPu5T4julPSWP3OwYPVp179wN4K+Se+t/kTw6tHPxqNGbXo6RHOy4XPFflDaSviV5CvQwJ04ieHroiiT/HB2bq+/NH79S8BTt9Zmdp2m9+7Wevk3zezq7Dm7odfi2DjwadY/fz/lmySNz35uDef2d9HWpno72KNXBPfH0/qtofqYhAXcOr5JmS5718XLC4hbcXj296xmUNLgt9hoeVsbtApkj3yF/S/aR3H5+JX1F8nek2+BvgB1yHdwu/R1rCtOtfU5FHTU999DFpaOoqXg4j7Q8ivRIcTLhIGW2I/yE5N7iutKHqgKXqX7tvF4k2aEeKo1JZ0te36zD63TwH9LbpAula6VdFyb3dGQnnobHqpPaYZUKfaoS15PGMrnT4Jc6D/fkEdX5LP26rDdU5zP067g6bKuDU6TzJY/g15U8Re1Q86tO+ZnGBG7XvfndtkPynz8sjqFeysjf5aYZnOjz2SG5gxlRpExP8bqz4o73mZEMDTaeMfMz1vp+g00dNd3a51TUUeHxhydpqh2qSflD/vfSKh2wrar410tP7pDu6N2lc6WTpVIv0w5yhmQH/m7JzsONo3Yadn4HS17/tHP1uacqtpAWRXBnwyOOdTPZOXpEGQ12lNdIMySvy1oejdfBHQg7endI3JsnLJ4E3F7fIv1a+rzkfQOLW/hDdcNPyW7c34Few3LKmDqvTsd3BS9gh+Jvh2ebjpWWCOZLzdz+tknk2aNOYbq1z6moo07PPlTxg3ConxYxr138cwdyXnM8Suo0HeJsXv/Mw1pZxFY691SNgzcVuCHYefqj4zUnj/jqdUY7F0/peIOHG0u6q1anfQ+e7qkbpZm7A+ERrEcZXsv0WnMadtHJfllc2+l/y8CdhI9K38yMI/zayid90RPwO+FpyDdKfp/yadNFf4ftd+ApVXci6xmSOseW7Vk7WtRTvtvJoqSmZZSmQr+myH+V3Cn3pqR9m4xa4jzi9iCgltckO4Xp1j6noo46PTvxCYHSaDEFtaNOXEl+Md2bdPCve212fp4eqcP6OnC5djp1+KIO7JRru3V1fJNkO4/mHNxzv1GqHa0dlp3q7+Ynz7OzY3MDqcMMHTwgeR2xFEqbkjwNlwb3Nn1fHiXXwfntxD1Kf650R5Xge3V+O/p6ingjHd8svaKy8c/2kst0WqfwDCX4Gubk4zS8SSfOf6jkD7HXnz1z4Dhzq0MT+yR5wqHztwXXs+3emxlGnqmt7GFJj3D0iMnrjObpsLvkfG+vzv3TiXViMuWHkWdxh9F2Xrbx7NE60uwq7gPJHS6K59lT1z8uuYev69idfXd869DvdzfaPpNbmHAY4d6JZ9PzROvIN3KBdOKEOxq9iEgdFKl0U4DXfU6QbpTGpN9L/yNtnlzBDnaO5HL/KHlDgIMdgEext0ue1vU07pGS7ex87LA9zflV6QrpUsk9wu9KtbN0L/AQyR8lp3tTxy8l92hL4edK9Pqsr+WpEDtpB9+Dp4ztxMYkN7hPSbXtLTqundXyOv6pdL3k+0udmPN5fcX2F0u+px2kOhymA7Pw9W+VfN1OwaNuqyl8UJFmfpt0nmTWLtPO/bPVeRN7JXUMbfXvj37d8fF025j0Esn1mj5TaTqs48WHKKGN4xF61noa0zM6Dn6XnM8dQr+jOWu/+4sitD1LfU/v0cGYdK/kNvkKyXn9npwkLYrn8WjSPN3Ot5VeUB37vszf7Xuq3t229qlLF0Mb95znmEpra4ttdeRvl8t5SHKnw8dLSqMa2uqglcukC2i9AgbTmQD135/aGSaOw/Qs/andwZQC98FwLl1lIP9TUukGSIMABCAAAQgMBYFBbEoaClA8BAQgAAEIQKBEAIdaokMaBCAAAQhAIEjAOz4nE5i3nww98kIAAhCAAAQqAjjU0X4VqP/+1P8wcRymZ+lP7Q6mFLgPhnPpKmxKKtEhDQIQgAAEIBAlwBpqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAARGhMAKes5jpLnS+iPyzH1/zEE61Lfr7s+VLpJukH4l7ZI80do6dmU2adXErnS4rBI/Lvkal0o3SadJm2WZ9tD5hdLl0tXSydLzMhtO+0NgUxVzdMXZvK+SjpLW7E/xI1dKWzuqgUTtcoDXK6KpDe6YG07B+TNV5rekG6VrJbfjN03BdShyPIEtdfob6UUtYJZT+mGS2/Blkr+d/ynRllvARZPd8CLhYzKyA3tGZbyMfr8vfTXJbIf6W8nOLtfSiV2nQ3cOTpX+S3LFOzxN+r30lurcP/7Q+L7967CUdJx0j+QGTYgTiNS/OzanSCtXxa6uX38o/dFcKX6pobaMcDSASDvqxq4Jqj+WefvzudtnJESfJS/rKYq4RfqR5I6xw5ulx6TXV+f8dCbQK3eXeKL0cukDksvpNEL1CPbP0kbOpLCa5G+2nfESVdwo/0ymDuZxixSwoewekbbISNt5pXFusB5N9hrepYx/lOrGWJfjkWftyB13kuSRaxo21omfZZ8sntMygUj926Hmdb9zxXv3cvEjkxrhGG1HUbtOcK/olBCMjzxLU1EHV+/EBlniz3XukRChTKBX7i51yarokkO1w/yL9N/Zbfyzzn3tvN4ys5E4nevR2VSHd+oCt0v+sKbBvVGrX+HdKuh06aGswIuz80d1nj93fe7eMKG/BDyN9HBW5G3V+ZP7e6mhLi3ajqJ20w3W83VDbrvXZTfmqcV/kNxR8DQwof8EIt89O03b8e0s8B/EGurLdP3rJY9G/k/6neS11HrKNb09jyT/V/IUwjXSNyWPHtuCp4RfIM2RZkp2om6YP5ZeKKXhCJ14+nFfyb2uFaWZkqe6viMR+ksgd6Yu3R9Hh7P7e6mhLi3ajqJ2nWD5m3CkdL5kB+ZZox06Gfcx/j6V5faYTx0+Xl2jnmbs4yUpqksCh8n+jdJLq3zr6Nej2uMl74shTJJAZJrBzvRe6RzJa5pusLtJbijvT67/dB1704p7qg52eq4o5928iuv04+li34ttvyR52tfrqF+RHpTqMnU4L2wr+QW4U3L6GZKvT+iOQKT+8xL9wXSH6oQ8YYTPIxyj7Shq1wn3eUp4m+R26o6q26jbanQ5JPIsTdfeX5HOm28g9JSv4/doykTcAgK9ck8RlqZ8azu/D3+TPMvk2T5/Y/NRa1rmKB1Pug4iBXjUaDuPINPgnbV2aPX8fZY879Rbue+SfpIkrqrjWqtU8evr19dweekaqp2q8/8wyW9nfr+0q+SPxvKSd6F6+tnlEOIEIvWfl/YhRXidrq67PH0UzyMco+0oatcNZ49S75YimwPbnsUf37QNe4bIwW19TDpLeqrktvkOyR9vl7mzROhMoFfuaYltDtXO09/JLatMa+nXs46eaVqm862NTEpbHbSCiBTgDQXu4ebAD1ec87c5MVfWn6o7sYN0nloeXTqsUcWdW52nP47zR8bBztu7efOpXTvhP0vfnm/Gv0ECkfpPi3InxlPxnlEgLCQQ4RhtR1G7bvh7qs/3uEkgU9uzbF+VVbfhdCPis5R2nOR3xGunX5NmVPZeiyd0JjAZ7nWpJYfqWT5fw5uQ0vDiKv59Wfwong5kU9LvRNbrH/naSL0Q7p6og0csD0j5mpvt6lGsNy1sM9983r/1+op399pR1mUlJvMW0ut4f8jdO/baUBpc7k3Sc7N4TvtHwCOMT0qvlOoOTv9KH/6Sou0oatdEzLM1bmteOklD3VbrdtiUNxp3gQzTNux2W4ebdfCurCDvdfD92MESeidQ4h4pddPKKP921ud8OyMUW2zaekXOvpdku3zK13+H6unYupHO0vG7nSEJHjneIZ2ZxTedHq9Il5eOhD29ZGfrzUkOT5I87//N6rz+8T14unh2Fs9pmUCk/l3CTpI3mXkEUgdvbDg0OR/lwwjHaDuK2pm3O5ieaq3DDB2ckJzXh24/dmqeIWoLkWdpKsPO/FUNCT9TnJdkCGUCvXJPSy2NUF8nQ19j7+w2/Cdxjp9Zvr2RSJ10HUQK8LqL/2TGG3/qxutRyiNSuilpls7d21lHcrCT8wYj2728iiv9rK/Ev0iHJ0aH6tjTwp6uqMOxOvCIdNsqwiPnT0h+FtZpFmAKHUTq387UMw8HSd5YUuvzOp4VusrwG0U4RttR1M7O1O0gnXKdoXO3l+0S5J6m90yQ6y8SIs/SVI7vx9eu1+fcLj06vV7ymiqhTKBX7mmpJYfqgYr/EiLtGK+k81Mlf3fXLd/eSKROug6iBfh/x5kleUrHFXKJ5A9rGjbTyVelyyVP79winS5tPc6qfOLGeKY0Jt0g2Ynnay/+4Own2cl7c4zXnM6SXisRuiMQqX/Xue2aNKu7yw2tdYSjHz7SjqJ2q8nQbeyYhOoaOj5EulByG3QbukjyqDcaos+Sl+dd/d+VvPTib4Dbp9dQ/ZcBhHYCvXJ3yftIY5Jn+FyOl2R8Xv95mw7nBb9/HuTYsfr98LfT+068pEeYz25SHCZTiZO6MJmnBQHqvz/VMEwch+lZ+lO7gykF7oPhXLrK3CeWUkmDAAQgAAEIQCBGAIca44QVBCAAAQhAoEgAh1rEQyIEIAABCEAgRiD/29BYroVWzNt3Swx7CEAAAhCAQAMBHGoDlBGKov77U9nDxHGYnqU/tTuYUuA+GM6lq7ApqUSHNAhAAAIQgECUAGuoUVLYQQACEIAABAoEcKgFOCRBAAIQgAAEogRwqFFS2EEAAhCAAAQKBHCoBTgkQQACEIAABKIEcKhRUthBAAIQgAAECgRwqAU4JEEAAhCAAASiBHCoUVLYQQACEIAABAoEcKgFOCRBAAIQgAAEogRwqFFS2EEAAhCAAAQKBHCoBTgkQQACEIAABKIEcKhRUthBAAIQgAAECgRwqAU4JEEAAhCAAASiBHCoUVLYQQACEIAABAoEcKgFOCRBAAIQgAAEogRwqFFS2EEAAhCAAAQKBHCoBTgkQQACEIAABKIEcKhRUthBAAIQgAAECgRwqAU4JEEAAhCAAASiBHCoUVLYQQACEIAABAoEcKgFOCRBAAIQgAAEogRwqFFS2EEAAhCAAAQKBHCoBTgkQQACEIAABKIEcKhRUthBAAIQgAAECgRwqAU4JEEAAhCAAASiBHCoUVLYQQACEIAABAoEcKgFOCRBAAIQgAAEogRwqFFS2EEAAhCAAAQKBHCoBTgkQQACEIAABKIEcKhRUthBAAIQgAAECgRwqAU4JEEAAhCAAASiBHCoUVLYQQACEIAABAoEcKgFOCRBAAIQgAAEogRwqFFS2EEAAhCAAAQKBHCoBTgkQQACEIAABKIEcKhRUthBAAIQgAAECgRG2aG+QlxukU4o8CGp/wROVJFzpU37XzQlQgACAyKwia7zqPS9AV1vsbjMIB3q20XkXOki6QbpV9IuGaWX6Px06SrpcunXDTZZlgWnc3TkD3WTXE4dltbBp6WvSk9J4jmcegIv0yXeOvWXGeorRNrR1iLwc+n30ph0qrRxkMr1smtqQzsG80/W7Pkq4KfSxdI10tXSYZMtlPwdCayhlEOkS6UrKt4n6XfLjjnmJ/y7fpZssSG5SwJueJHwMRldKD2jMl5Gv9+X7NTqsIEO7pWOkmpHv7eOfY03LjTreGSH+i5pj0x+UexA6/BaHfgay0t3SoxQEzhdHkbr38UuIV0g/URihDoedJRjpB1tpaIflg6sLmHuX5T8rj9z/GUbz9yZzduQz9dutJ4YGX2WiTmf8IRXKPIPkjvWdfiwDvyhJ5QJ9Mr9P1TsTdKzq+I94Pgv6UHJnZumsIMiPTC6VWKEupBQr3WwoIRIARvK+hFpi6xm3LjTuP117vLWy+zu0Pm3srim0zMVaUedhqfq5H5p3SQy7VXhUDNgXZ5G6r8ucjcd/EJ6t4RDHQ86wjHajs5Q0TdL6ezTijr/q/S18ZdtPJus84o8S9OF3S49ot4vS1xO569uykDcOAK9crdDzZmvpjiX9/UGxksp7kppW8mDGBzqQki91sGCEiIFfErWXqtsCx+UgcvzSDUNd+nk+LbMHdI/qviTO6Q5GodagBNIitS/i/FH8UbJ00g41IlgIxyj7ehuFX/axEs84RLF3dYQn0ctKodqp2kO9Ugpvy/OywQi71BTCXaQTUt/HqE2Ocv3K/6HVUE41PFE5zaBbII+mTivm3ldZnfp/6TfSedKXgtKg6debTdT8nSs783TVu65esqq2+Cprn+Sju42I/Z9J+Bpu7Mlf9QJvRGItqP7VHzT2tbjin+6tHLL5d3ujpTOl66V7Jw9xTfVwc/ne1xdOkXy1LOXa/5NWnqqLz7C5T+qZzf3NKyjk2Wl2Vn8Kjo/WDogi+e0TwQivSI7Sa+NniM9TXKD9fSfK9G9nTQ8SyezpQckj0yvk9zQegmvUSavDZQ6DYxQeyG7ME+k/teU+e3SWlU2RqgTmUc4RtuRN5R4HTJ1QvWUr6/TthZ6nmzeJrnduAy3UbfVfaRIiDxLUznfUORj0g1SvSHGa3h+d77blIG4cQR65d6E0bMh7kytkCUeoXNPEdeBEep4QJOug0gBhm67F4y/9rypWDu0uje9qY79IXDv2L0jN+h3SF4D3VGqw6o6qOUeU6fgaQn3pkoBh1qi054Wqf9jVczMpCgc6kSuEY7RdrSFin9Y8sfPewo83e61079Jvo7Xx7oNHqV6KjkyUmx7lqVUTtqG7ewdTpCc9yPVef3jZRvHb57FczqeQK/cc44vVoQHM/ku3+cozt/n9C8jcKjd1UHOesJ5WyU6g7e9u4frxp2Gw3Xi/OtXkXXPOp+uOlXp7qU6+OPgPLU8z98U3Au3I/boqBRwqCU67Wlt9e+P4M1S2tPFoU7k2sbROaLtyLZbS5429QyPd2N6d7CXTTxTVJqxUXJjOEyxvkf/7WFbaHuW7auy6jZsZ+3gpRnHvao6r3987ni/N4TOBHrlnpa4kU7cXl/ZcBn/VUa+eQmHOh7U3KUawPU76ncq0BXlNc00eHrHoW7gm+nYu/zq+NrWUw9uhGtI3vG7TZ2g33zuv07y9NRPpdoRJ1k4HCCBV+ta7gR5PawOK1UH/ntj7/4+UPp2ks5hM4FoO3Luc6V83dMfxAukTm3G+bx3wR1aO9401G0y7+xmZqFT30Pahu+pcvn5HHKHn38nQhfBaAKBTtxrw7/TgTthe0s/n5B7/q7eFyo+daoesLxOGpM8en1pQz6iuiDQ1ityUXtJtsunfN3APbVQN1L/Rw/uHeWO90eK80jU08CR4E7CrdJ2AWNGqAFIBZNI/efZGaHmROa3j4mx42Oi7cj7EPLpUU+resr2rdlFPJOTzh7M0PkJmY1PfyzZybpz1BZ6eSdcpqcU7ezzKd99Fecy8ynItvsYtfReuZuTnakHM+4A18Ezip41LAVGqOPpTKYO5pUUKcDrLpdK/vu4uvF6SsGjk3RT0p5VeR6x1OG1OvAutC8ncW2HO8vA02ORgEONUOpsE6n/PDcONSfS33a0h4r3+1+vdbnN2Ul6T0Ea7EwfkuopV6fNkNx5TTuju+rcju4gGwRCL+9EXexROrhFWq+KWEe/N0psSmoH3yv3DVX0bdJxkt+dWu/S8VjLZXGo4wH1WgcLSokW4K3wsySPQK+RLpFccXl4gyLOkfxBuEKynZ2uR53RcKYM87n+PO+VihiTPJ3knreP3ZgJ3RGI1r9L3Uoak9yJcT7PIvg830moqJELUY6RdvQ80XMb8A53d2TrNdR8Q5E3J9l5HZPQ9rLKIdKF0mWSd9w6v0fH0RB9lqby3PUOe5IAACAASURBVM4PlTxa8jfAa8CflPL9F015Rz2uV+7HC5zzNmmsA1R3cJzmwY7/TMvH0Q5XhyKHIrrXOljw8JMuYCgwju5DUP/9qfth4jhMz9Kf2h1MKXAfDOfSVQbyHzuUboA0CEAAAhCAwFAQyHfUDcVD8RAQgAAEIACBQRPAoQ6aONeDAAQgAIGhJJD/iUq3D8m8fbfEsIcABCAAAQg0EMChNkAZoSjqvz+VPUwch+lZ+lO7gykF7oPhXLoKm5JKdEiDAAQgAAEIRAmwhholhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAYDo61HV0v7+U5hTuu19Jy6mgMenOfhVIORCAAAQgMJoEBuFQTxDauQWtkKB/m47PltbqoTrsgDtd59cdyvuQ4u3ACVNH4Dkq+kjp4krX6vcX0nZTd8mhLDnajjbV0x8tXS1dLl0lHSWtGaRyveya2tGOwfy9mq2kjB+TzpUukq6ULpXe02uB5AsTeKYsvyXdKLl9mv+bwrkxXEBgqQGx+IKuc1l2rX/UuZ3Z/VX8svp9r/Ry6d+ll2T2kdO9ZPRIZvgRnZ/ZkHkNxX1QOkt6bkM6Uf0h8DoV83bJ9eqP9ZLSEdKp0gslf/QJMQKRdmTHe5v0Yumv0urSadL50mbSvVIpPKzEPRsMLmyI62fUuirsk9KbpZ9UBe+s3+9JdvD/WcXx018CT1Fx50l2ohtJD0mugx9Idqo/lQgDIuAXvS18RgZbNRi5gb4jiV9Cx/WI2Y2o2ylfO81lsus8Ved22Otm8T51Az1U8geIKd8GQIGoSP27cb4vK2ttnTvvAYFrjIJJhGO0HXlUt0UGzY7J19g9APOKgE3JJPIsTfnXU+QxDQnuhJ3SEE/UeAK9cj9YxTjvBhnQn+vcsxyEOIFe62DBFXotwCOTuySvYTaFXhxqUzkfVeTJDQnuqd8seboZh9oAKBjVa/1vrPKd1zMKhPkseuHQ1I7yTqXLfalk3h8IXGRROdSmW3Mn+4/S8U2JxI0j0Gtb9Ej0wQaWX1Scy9ywIY2oZgJzB7GG2nRpT+0eJzVVZJN9L3FujP8keT0pD55S/jepnm7O0zmfOgIeiXxZOkfyug2hdwJN7chTtnmoP4ren9AW/E3wmreniL2e5uniHdoyTUH6KtV9+Hk8FUyYGgL3qVh/K600PF6deBqYMCACvfSKVtW9eR0nn2JIb7kfI9TXqMCbpLzT8HrFeYNMHc8ItfeXpZv6d317Gt953Cv2GjZhPoFuONbMIu3Itv5QeqOP3/NI8HqaNwe6fSwtvV/yx3WfSGbZ9PIsedG/UcRj0m+lF+SJnDcS6JX7/lWdedYuDZ7ydZl7NF6NyCYCvdbBgrJ6KeBflPuMprtJ4koO1R+SWu7Fdgo/VILXB9KwlE68LvCKJBKHmkHq4rSX+vcmCM8a3CHxsZwPuxeOkXbk0r2T3dO4pbYy/y46/+tR6t2SHWxbaHsWt8G0Da/YoUAvB9mJPyDt3cGG6IUEeuXuZa8x6SzJe07ckfLelr9JLtPr74QYgbY6aC2llwLs0HZqKbmTQ3Uj8zVrdZoy9qYXT+eumV1nX53/KIvDobZURiG5l/p3cd7p680mHg0RehvVRdrRroJ7neT2MJlwmDK7rjcJFNL2TmxflVW3YTvrUjhOiW7LdsKEzgQmw/1ZKtac/a74rzG+Js2QXOaLJEKMwFz3FgcZttPFVpZO6vGi3tK9TZK3nufPi3PP9qfS7VnCK3XuF2QsiXevbPkkblsde6qY0B8CZuuOT9rgPZ3nP5fxn9QQuicQaUceWXjt0e+8p9ojwXXlzo6XZNLg+nJw2mTDBSogbcP3VAV6M5Xb86PZBS7V+Qzp7yWv6xJ6I9CJu0u7WXpXVqwHH34P7GAJAyLQ1ivKb+M7inBvty10GqG25XO6Owm3Sv7oRAIj1AilZptI/Z+rrFs3ZL9Qcbc1xI9iVIRjyqWtHXkG6BrJI486eKfvoWkhOvbI1VN+dZihA7eHPPxYEf64eoaoLXT7LHV5h+vg4w2FH6E4l8lu0wY4SVSv3N2JelVD0T9TXNOGzgZToioCvdbBAoDdFODpV6+HRKafJuNQ3TP3dFg04FCjpCbaRerfDtU7ep+WZHfv13kPmFjkSMZEONZg2tqRnanb2UHSHok+r+NZCV23Q8/4pFOuM3Tu2YS0M+ppY48cXV4kdPMsaXl2qP4Tmc2TSP/9utfyTolceMRteuXu98B1vmXFbwn9un1eL3n2jhAn0GsdLLhCNwW495mvX+a3eqwixiRv5X60OvaO3G7CmTLeL5Dhw1X57nl7SmtM6nUqOnC5oTSJ1P/WevJZ0pWSd21eJdnB7jKURHp7qAjHuuS2duTpO5fXpFnJ7a2m41uk9D9TWEPnh0iePfBU3w3SRdJeUjR08yxpmc/RiZ2+3xFf20sCnu7135J7FEUoE+iVu5fgvit5matm7jXUtANcvjKpNYFe62ABwUkXQF0s1gSo//5U3zBxHKZn6U/tDqYUuA+Gc+kqi+w/dijdFGkQgAAEIACBxY6A/+aIAAEIQAACEIDAJAngUCcJkOwQgAAEIAABE/COrskE5u0nQ4+8EIAABCAAgYoADnW0XwXqvz/1P0wch+lZ+lO7gykF7oPhXLoKm5JKdEiDAAQgAAEIRAmwhholhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAAIdagEMSBCAAAQhAIEoAhxolhR0EIAABCECgQACHWoBDEgQgAAEIQCBKAIcaJYUdBCAAAQhAoEAAh1qAQxIEIAABCEAgSgCHGiWFHQQgAAEIQKBAYDo71BN133OlTQv3TxIEIAABCEBgKAjY4bWFE2Rgu05aoaGAlyX2UYc6p3CNXyfXiNo13BZRGYFI/TvLS6TTpaukyyXXxy5ZWaN8GuEYbUdrC2SntrZqAPL1HfLvGMhrk8iz2M738nXpGulq6WRpAycQeiIA956w9TXT3KX6Wlznwr6gpMuy5H/U+TrS/Vn8Ejr/d+mn0uuztLbTvWTwSGb0EZ2fmcVF7dquR3o7AX8kzf946XXS49Le0nekN0knSYQYgWg7cluzbR7uyyMazh9W3J4N8Rc2xPUa5Tbuer9Xeq7ka35Wmi1tIf1JIvSfANz7z7SvJUZ6RZ/RFbdquKob6Dsa4ndT3C+kd0suPzpC9Ud7may8p+rcDnvdJD5qlxXFaQOBSP3vr3y2Wy/Lf4fOv9VQ5ihGRThG25FHqKdNAuIVk8jrrJFneXNll7bt5RT3F+lzk7z+qGaH+6Kv+UgdFO+y1wJeqFLvktyI0uDzG6UtpW4dalbUvNOPSp5KagtRu7ZyRi09Uv8fFBTb5dN5rn+PWgkxJ9TEqakdLQ4O1dPX7lDl4VRFeMqZ0D2BSFuEe/dcu8kxd1FtSnqv7vI46cHsbj+s87OlS7p5ig62nt74J+noDul1dNSupRiSOxBwI/ZHcqa0vOR37kBpSemLEqF3Ap3a0TNU5P9Kv5G8RvlNaePgZVw/R0rnS9dKHu3uEMwbNfM0rzvOeXDcs6UV8wTO+0IA7n3BOHWFRHpF+dW9GcFrJ/mIZU3F3S6tVWWY7Aj1NSrnJqmt0xC1y5+D8/jI6lmCNVt6QPLI9DrJG88I8wn0sx09XUV649fzK7gr69czAW5zmweAnyebt0luN0tL75e87r1PIK9NIs9ym+zOaCjP66jO/8yGNKLKBOBe5jOI1EgdFO+jlwL+RSU2NaZjFT8zuVonh2qHXGuVwt39UGkHF9LrpKhdoKiRM4nUv9fJ/iB51LOs5A+11869th3dOTrsYCMccwad2lFu53PvpHdH5idNiYE4j1Lvluxg20LkWXCobRS7T4d798z6nSNSB8Vr9lKAt8jvlJXqnvPNkht+HZocqtdYfc1a+ZRxndfrSP5ge9RbClG7UhmjnBapf+/mtEP1FG8avF7mGQlCbFSXc2pqR7lNeu6llF53zx6mvK7rTUoXqNIi74R3IV/QUNZRivNomCnfBjgtUXBvATSA5IH92Uz9LNvpwFNQ+Z9KvFpxdpb+O8U6rFQd+O8X/acwXnfzn1pss9BkXuNrCp6e8p/dtH2wo3ZN1yAuRmAzmf1eeiwz9/rc9tIa0h9jRWFVEejUjpzsWRtPrftPUdJg/nmnJjOZt8ZtG08P53l93pY/y9bx1A7VSy15WE8RN0iRP+/J83LeTgDu7YwWqUWkV5TeoB2ie7uR0DRCjeRbSka3Sv7olELUrlTGqKdF6v9XguTZhyUyWD/SuWcYPA086iHCMWVUakezZOi2kwYz9q5a/8lYGjxDk84KzdD5CZmNT38s2cm609sWIs/iGap8xOt7/LPEn820EW5Oh3szl0HGRuqgeD/dFODpV/ec3YgjoVeHurMK93RYW4jatZUzyumR+vd/EmA7zzDU4bU6eFT6chI3yocRjjWftnY0S4Ye/a9TZfCo8kuSZ3leXheiX7fDhySvj9Zhhg7cyUk7o7vq3DNBBy00Kx5FnsWdq3Mk/0nbMlVpn9Gv11ZXL5ZOYicCcO9EZnDxkToo3k03BXxcJXlU0hb8n0CMSXdKLt+jTZ+nPWmddgzuhe/XMXVhQtQuUNTImkTr/w0i5A+oOzr+jwMukbx71LMEhO7WUNvakafYvyp5p6+n+G6RvGyydQZ6tSrtmCTe0++HSP5PV5zX068XSXslNm2H0XfCGwu/Idn5+704RdqwrXDSOxKAe0c0A0uI1kHHG5p0AR1LJmFxIED996eWhonjMD1Lf2p3MKXAfTCcS1dZZP+xQ+mmSIMABCAAAQgsdgT8N4EECEAAAhCAAAQmSQCHOkmAZIcABCAAAQiYQP6nDN1SYd6+W2LYQwACEIAABBoI4FAboIxQFPXfn8oeJo7D9Cz9qd3BlAL3wXAuXYVNSSU6pEEAAhCAAASiBFhDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIDACBNYR8/+S2nOCDPo6tEH4VBP0B3NLWiF6o6jdqUH3EOJF0qXS1dLJ0vPa8jw94o7XbpKulY6SnpSgx1RkyfQj3qd/F0s/iV0w/Eletz6/XZb+LW0SxDB9bJraq87BvNHzJ4joyOliyu5Df5C2i6SGZueCWyqnEdL/jb6vfD3z9++NRtKfJvizpbWakgjqgOBpTrE9zv6CyrwsqzQf9S5e0D3J/FRu6b7e7sivyntJv2v5Gf7uvRz6bnSLZLD0yW/KF+RPiktL50qfV96jUToP4HJ1Gv/72bxLTHCcQM93pnS8dLrpMelvaXvSG+STpJK4WEl7tlg4I5qv4Lvy+315ZId+JLSEZLb4Qslf+wJ/SfgTtlt0oulv0qrS6dJ50ubSfdKDstK75VcP/8uuYNGGAAB92TbwmdksFWDkRvoO5L4qF1DUfOi/KG4KUvcWOe+x32S+C/p+HYp7Uy8tLJzQyfECfSz/uNXHT7LfnLcv3qX18sw3aHzbwXQXRGwKZlEnuXNKuB9WSFrV/d9QKlw0joSiHC/VLm3yErYueK+exK/hI7r2cvv6XhOx6uSkBKI1EGRWK8FuBd6l7RcsfT5vdWInYv5gXRrVp5Hpr7HvZJ4vxzurafBL497Z9/I4jktE5jq+i9ffXhS+8nxg8Li8jxSTYPbkUetbWEQDrXpHurOb9pWm+yIayYQeYeWachaDyY+0JDmKBxqBzAN0ZE6aMi2MKrXAo5VEZ7iaQtRO5fzMulv0r6Se1grSnayV0orSQ5PkXzPn6vO0x+vJ3itiRAnMNX1H7+Txduynxz9jl8neTTq5Qx3Fg+U/ixtGcDkduD1TU8Dem3TU4I7BPLVJr08i0fTnqb2UoynGwndE+iFu6/yTsl5PeXbFHCoTVSa43qtgwWl9VLAqsrt0WDeg85vMWqX5ttWJzdId0oPSmdIXjOtw4Y68D0fnMTVhxfo4PcN8UR1JjCV9d/5qsOX0m+OzxKi2dIDkkemdrDucEbCeTLyhhQ74qWl90teh02XTUrldPMs/gZ4xsh53Pldo1QwaUUC3XCvC/LA41zJa6udAg61E5mJ8b3UwbhSeingX1SCHV1b6GRnR1trlaQQb0byBqddJX8M3Dv3jjZvRlq/ssOhViD69DOV9d+nW1wsiuknx031xH+QPMr0aM9twXsV3DZ63anrUerdkh1sW+jlWTyqdlv1Ou8L2i5AeiOBXrh/SCV5ij/9juaF41BzIp3Pe6mDcaX1UsDVKmGnzve0IKXJzmuuvmYtj0IdvEvwHilfG/UHxVNd355vtmDK97PVefrDlG8DlJaoqaz/lksPVXI/OXpznh2q20QaTtWJN+P1Eg5TJt/jJoHMvTyLi/X9esevR8iE7gl0y90DD89ceDNYKeBQS3TGp81Nd7rGs/VuuZ2yriy50ZdCJ7uHlGmbJKOnohz8UnjU6jWfNNj+Jsmbkxzcy/bGpWdX5/WPe/GeJjsxi+e0vwQ61Wt/rzL8pZU4ei3MSxePZRjcNraXPK36xw6IPKtjx1b/+URtVpeVO+kOxbRG+zruDKdOwNfwn8u8rjU3BpMl4J29n5ReKbGDd7I0+5i/216RR5Du7baFqF1dzpN08Kj0zaxgfwC8njo7if+yjvMevP/Oys9CY84AtpxOVf23XHbokvvJ8Veic7Pk9bE0/EgndmLpph93RFdIjGbouGk97ceKt5Nt25XvoiLP4nW7rZPr1ocX6sB/J0nonkCEu0v17OA1kgcQdfBO30OT8/SQEWoHMA3R0TpoyDo/qpsC1lQWb5Jom2KI2uU35R3BHpFuWyX4g/IJyffoHlkdvEnJazX1xiT3ls+SIuu6STEcisBU1P8ogu0nxz2rejkwAflaHbvD6c5kHdwO3V68PlqHGTqw0/UIuA6eGvRM0EFJXOkw8ix2qOdIT0sK8u585z2gVDhpHQlEuNuZ+hvsutwj0ed1PKtDyTjUDmAaoiN10JBtYVQ3BXxc2dxLbgtRu7wcb5jYT7pU8kK712DtKP0xycPGiviZ5HVTT4UdLXmUS+iOwFTUf3d3MBzW/eb4BmGxw3IbcFu4RPJu3XSJZzWd3yIdI9XB08GHSB4pXiZ5x/xF0l4LLNoPIs/i0eksyX/S9lvJ7dD3G/3vEdvvYvQsItw9c2G7Js3KkHmAMibdJ7kz5uOLMxtOxxOI1EGR2aQLKJZO4nQnQP33p4aGieMwPUt/ancwpcB9MJxLV5nrzTgECEAAAhCAAAQmSQCHOkmAZIcABCAAAQiYAA6V9wACEIAABCDQBwL51vpui2Tevlti2EMAAhCAAAQaCOBQG6CMUBT135/KHiaOw/Qs/andwZQC98FwLl2FTUklOqRBAAIQgAAEogRYQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCEJAhCAAAQgECWAQ42Swg4CEIAABCBQIIBDLcAhCQIQgAAEIBAlgEONksIOAhCAAAQgUCCAQy3AIQkCEIAABCAQJYBDjZLCDgIQgAAEIFAggEMtwCFpSgicqFLnSptOSekUWhNYRwe/lOaABAKTJECbnSTAaHZ/GCPhJTI6XbpKulz6tbRLQ8ZVFfd16RrpaulkaYMGu05ReyjhQsnXqPM/LzPeVuf/LV0mXSpdK/2P9OzMjtN2AtH6r0t6mQ6cB4c6nm2UY7QdvU3Fj0m/l7p1qNcndVTXlX93HH/LHc+iz+IC3i6dK10k3SD9Smr6LnS8GAkLCES4uxN7tORvo7+R/h4fJa1Z4EibLcDJkiJ1UCwtUoAd4r1VxdUj4r117rxvTEpfQsfnSKdIy0o+/5x0q7R6Ytfp0I3TZfrXYSnpOOke6ZlVnH++J50hrVzFraJf9+TdoJer4viJEYjUf12S6/MC6SeS8zFCXcg4wjHajtx2ZkvPkvyud+tQ/ZF1xzTX2gtvt3gUeRYX8DHJnd9nVKUto9/vS18tlk5iJwIR7h5A+Ptaf/v8XXVn5kZppYaCabMNUApRkTooZJ//YSwaKHF/yRdaLzO8Q+ffSuLeXNmlH1o7uL9Idqxt4SQZ3JQZbaxzX3ufJP4wHb80s/PHw3YvyuI5LRPo5gXaTUX9Qnp3xRqHupBthGO0HfkjWHdce3GoV5SrvDU18iwbqpRHpC2y0tzxzeNaL4jBPAIR7naoOd+dq7y7N3CkzTZAKUTNHcQa6qPVDXjEmIYldfJYEuGK/ZOUNugHdX6e5LS24Ovk16jP0+scKrvzs8LqHttdbRchvScC7hh9SvpwT7nJZALRduQP6+PTHNk7dX+3S/7Ap+GWhrhp/iiL1e15wJAzv616gidnT0KbXQRVG+kVPUX3dZ3k0ejykp34gdKfpS2Te/aaptdQ8uA5fn8gVswTsnPP9f9N2ldyL932P5CulJqmM5zddh6t3ix91hGErghE6t8FHizNqkpmhDoRcYRjtB2lpfcyQvWU75GSO53eX3CatMPEW+4YE3mWs5Tb8qjo/6TfSV5LrZdrOhZOQkcCEe5Nmd25cd7NskTabBOtclyvdbCg1GgBXs+ZLT0geRRoB2sHmAb3lM7I4nxqR+frpOugDWbzoraVvBZ6p+TRrct7+ryUicGN2ffysHS45DUcQncEIvXvDQ8ejaxVFY1Dncg4wtG5Iu0oLb0Xh+oZIW9qcsd3aen9kju06bJJeo38OPIs3vjkfRXeM/E0ydfy9KKv4+sRuicQ4Z6X6gGFOzInbYzLGAAAFvpJREFUZAm02ZxU7LyXOhhXcqQAr5X9QXKv1xsm3HjeId0v7ZiUFnWoqypPLW8oqoMbpMvcVfI1PBr2jjZPI61fGzX8ej3Hm5IullwuIU4gUv/HqriZSZE41Il8Ixyj7SgtvReHOvHu5o9S71aCHWxbiDzLHBViuxdkhXlXvzvDXg4idEcgwj0v8UOK8BJb+h21DW02JxU776UOxpUcKcCbhexQ80ZyquI8cqmDp3wvSM7rw3TK1/P6vmYtj0IdXLZ3836nOq9/7MA9tfztLD4/XUcRLvPTeQLnRQJt9b+5cns6fYWkFBzqRKRtHJ0j2o7S0vvlUL2Rz/e4ycRbnxATeRb/2YZHo/ms0OHVdUod4AkXJGIegQj3FJUHHp4pzHdv02Z7f6HmLtV73nBOz8377+HSjUHO7PWZ7aU1pD9KdqivcUIWvDvY07j3SZ6i2CZJd6N08Evh0aXLTMNDOrlJem4S6Y+7R7JpsI0d7/OzeE4nR+DVyu5OkNfl6rBSdXC6fh+RvJ7e1uFJso/sYbQdTQaQZ3XcOfV0bBrqtpt3inu9ltdMN5Lcnpuu4xkmwtQR8CbPT0qvlDxbkAba7NRxby050ivyRiOPUvLG8yPFeYTpUaTDTlLeC65HmJ+rbDr9PEkJ3gX5zczAHwBPIc2u4t2BsDPNe8be5euPxv9UdvzECETqPy+JEWpOJDa6iLajtPS2Eao7ounswQydnzDx9p7wY8XZybpz1BYi78ReKsR2+ZTv9xXnfQ39ctxt9zpM6RHufl5/Z6+RvB5fB2/MPDQ5zw9pszmR5vNoHTTnVmykgD0rO49E6vBaHdgBfjmJs8P1JgWvo9QO7zM6vk2K/McOnvf3iHTbqkyX9wnJ91j/2Y0dqs+/JNWO3B8Uf0S8OWlriRAnEKn/vDQaZ06kv+0oLb3kUO1M3V5OSzLM0LE7udslcZ4a9EzQQUlc6TDyTngt9lLJmwZrh+7Rkmcs2JRUots5LcLdztQbQ12XeyT6vI5ndS6avx0vsEmTInVQLCpawBtUip2l1068CH6J5IZjB5cGT9t+Q/LUrW1PkTYcb9LxzI10P8kN1ddw/rMkO+80+EWy0/Y05G8l2/nPa144zoqTCIFo/busraQxyTMGzndrdZ6OkGw3iiHKMdqO3Lkck7xM4o6rj73pLg2r6eQW6Zgk0ssvh0gXSl6C8VLLRZJHlNEQfRZ3kmdJnr3yiMnfBLdNQm8EItzN2nZNmtVwWdpsA5RCVKQOCtljPetiASQu1gQm/QIt1k/fv5sfJo7D9Cz9q+GpLwnuU8+47QoD+Z+S2m6CdAhAAAIQgMBiT+CJi/0T8AAQgAAEIACBaUAAhzoNKoFbgAAEIACBxZ9A/qcs3T4R8/bdEsMeAhCAAAQg0EAAh9oAZYSiqP/+VPYwcRymZ+lP7Q6mFLgPhnPpKmxKKtEhDQIQgAAEIBAlwBpqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRCAAAQgAIEoARxqlBR2EIAABCAAgQIBHGoBDkkQgAAEIACBKAEcapQUdhCAAAQgAIECARxqAQ5JEIAABCAAgSgBHGqUFHYQgAAEIACBAgEcagEOSRAYAgIn6hnmSpsOwbPwCP0hsI6K+aU0pz/FUUq/CLihRsJLZHS6dJV0ufRraZcs43N0fqR0caVr9fsLabvMrnS6hxIvlHyNq6WTpec1ZFhWcR+XLpIulW6STpM2a7AlqjOBSP37Q3605PpwvfgdOEpas3OxI5cS4WgokXaUwnuZTlx2Nw71+iRPnde/OwZrJfosW6u8n0u/l8akU6WNg9fAbCKBKPe3VbzNveRQu33XJt7R6MVE66AjmUgBGyj3vZI/ovWIeG8dO+8bk5I/oOPbpPWruCX1+0XpQSni6N4uO5fpX4elpOOke6RnVnH+8T248f6XtFwV/zT9+gV7S3XOT4xApP7dYTlFWrkqcnX9uiNzo7RS7DJDbxXhGG1HNawldHCB9BPJ5UdHqO7wuGOaa+1gLUSeZSuV9bB0YFWm79Vt/U4pbavBS2ImAhHuHkjMlp4lfU/q5FC7fdeogPkEInVQZBUpYH+VYLv1spLu0Pm3krg36/h9mY0bsfMekMU3nZ6kSI800+Aer/Pvk0S+S8d/lPxypcEj2WdkcZyWCUTq3w51i6yYnXXuvLuXix+Z1AjHaDuqoe2mA8/wvLtiHXWoV0ySeuRZztA1bpbSJacVdf5X6WuTvP6oZo9wd8elZl5yqN2+a6PKPH/uuR7FTXV4tLpAfi2PQB9LLv7DhhupRzXuubYFXye/Rn2eXscfGE8/P5QV6KlmQv8JvEhFejSSBs9EODx5fDRnBQLRduQiPPPyKWkn6fmFMhdVku/Jyz6PJzdwn449S+RZq/cuqhsb8uva6UYcbzfv2pAjG+zjRSrnKbql6ySPRpeX3EPyVM+fpS0Lt+sR7ZnS2VI+mmzK5vWiv0n7Su6Jucf7A+lKqZ5aXFrHdqSflmZKdqK+tx9LL5QI3RGI1H9Tie9UpPNGpvKb8g9bXIRjN+3oYAGaVUHqdoTqKV/vZThf8j4G7y3YoSor8hN5lltUkEepefBSgPPXHek8nfPOBCLc09ylEWo371rnOxq9lG7rYAKhaAGes58tPSDdJdmJ2QE2Bc/fz5Fcth3iGk1GHeK2VfwNkke0Xnt1o316YltPIXtN90uSHbV781+p7Kdjbz65/Wl3GK3/9Mbd2TlXOmHaPc2iu6Eox0g78mav26W1qsfp1qGep3zeuOKOrzug75c8kkyXTaqiG38iz3KScv6hKr8upJ7ydf7oem3jDYxoZIR7iqbkUG0XeddGFHXHx+62DiYUFCnAazduPO712oG5ob5Dul8q7Rx0L8m7Q73W+gKpDqvqoNYqSbzXjFzmrpKv4dGw87s3vH5l51/fsx1uOuq1U7Wjb5p2rrLy00AgUv95tg8pwut0ad3lNqN2HuEYbUfHCt7MBGC3DrWJvUepd0t2sG0h8ixeU/cywBHSMpLbn9dOPcPk/KtJhO4IRLinJZYcavRd6+4Oh9+62zqYQCRSQN0b9ZppGrzT1j3pUnCe6yX3mh3c8HzNWh6FOtjOu3m/U53XP3aanlr+dhXh0a7zeoSUB8fNySM5LxKI1H9agDs7np1gBDIea4RjpB1trmK92WeFpPh+ONTDVJ7vcZPxt914FnkWZ9xaOkXy++Cp3o9J3unr2aN0s5JOCQECUe51USWHGnnXArc0ciYD2ZTkdTJvNkg3Bpm012e2l+zkvOvWI0o7yPTFcJ7LpddJDl7/3KY69k+9qcEfaI9aXWYabO+dv8+tIn0dO96mButrNcWPK5CTngnsrJyflF4p0XHpHmOkHb1axbrT6XXQOqxUHXgj3iOS9y/UHczEbN6h26A7p3Zqaajbbt4pzsy6OnUHNl+b/b7iLpDSzUpdFYpxXwhE3jV/Swl9JhDpFf1K13Sv2WtnafiRTuxA66lXNzD3WvNwoSLqXaF5Wn3+JB08Kn0zM/AHwNO7s5P443Xs6V1PNdVhKR34BfHmJEKcQKT+XdpO0jWS12Xq8FIdHJqcj/JhhGO0HeUcSyNUd0TT0ewMnZ+QF6Bztws7WTvrthB5Fr8HHk2nwWuonlZ+a9sFSG8kEOGeZiyNUHt91xpvbIQiu62DCWgiBeypXLZzz7gOr9WBHeCXkzg71HOkpyVx++rYeQ9I4jodeu3II9JtKwM78E9U+T06qsP6OviLdHgSd6iO7dzZlJRACRxG6t/O9AHpIGmPRJ/X8azANUbBJMIx2o5yXp0cqp2p24vXR+swQwduB9slcZ6m94jR9RcJkWfxe3C15H0SDnbqduTsYaiA9PAT4Z4WW3Kovb5rPdz2UGXptg4mPHy0gDcop52lG5E3pFwiefegR4Z18Oh0luQ/c/mt5Gkr58n/i8LaPv/1hon9pEslX8PXOkuy886D/1znTGlMukHybuAX5UactxKI1L9nJ2zXpFmtVxgNgwhHk4i0o5rYVjoYkzxD4/Jvrc7rEak3/twiHSPVwcsvh0ieFbpMctu4SNprgUX7QeRZnqdi3P68HOP26mt8TIpsemq/g9G0iHA3GQ88xiT/3a8HNT72nw/moZt3Lc87qufROujIZ9IFdCyZhMWBAPXfn1oaJo7D9Cz9qd3BlAL3wXAuXWXuE0uppEEAAhCAAAQgECOAQ41xwgoCEIAABCBQJIBDLeIhEQIQgAAEIBAjkP8pSyzXQivm7bslhj0EIAABCECggQAOtQHKCEVR//2p7GHiOEzP0p/aHUwpcB8M59JV2JRUokMaBCAAAQhAIEqANdQoKewgAAEIQAACBQI41AIckiAAAQhAAAJRAjjUKCnsIAABCEAAAgUCONQCHJIgAAEIQAACUQI41Cgp7CAAAQhAAAIFAjjUAhySIAABCEAAAlECONQoKewgAAEIQAACBQI41AIckiAAAQhAAAJRAjjUKCnsIAABCEAAAgUCONQCHJIgAAEIQAACUQI41Cgp7CAAAQhAAAIFAjjUAhySIAABCEAAAlECONQoKewgAAEIQAACBQI41AIckiAAAQhAAAJRAjjUKCnsIAABCEAAAgUCONQCHJIgAAEIQAACUQI41Cgp7CAAAQhAAAIFAjjUAhySIAABCEAAAlECONQoKewgAAEIQAACBQI41AIckiAAAQhAAAJRAjjUKCnsIAABCEAAAgUCONQCHJIgAAEIQAACUQI41Cgp7CAAAQhAAAIFAjjUAhySIAABCEAAAlECONQoKewgAAEIQAACBQI41AIckiAAAQhAAAJRAjjUKCnsIAABCEAAAgUCONQCHJIgAAEIQAACUQI41Cgp7CAAAQhAAAIFAjjUAhySIAABCEAAAlECONQoKewgAAEIQAACBQI41AIckiAAAQhAAAJRAjjUKCnsIAABCEAAAgUCONQCHJIgAAEIQAACUQI41Cgp7CAAAQhAAAIFAjjUAhySFgmB5XXVr0lXVzpfv2sukjvhohAYbQK9tsW1hW1MelD63jRBuILu4xhprrT+VN3TUlNVMOVCQAQ+LrU5Q7/klye09tfxP0obSfdLZ0vPki6WDpNsP4jwHF3kn6XtqoutpN850iels7IbWFXnX5BeLj0u3SDtJ12X2XEKgUVFYJBt0e1kXenchof9meL+JO3ekDZVUVuq4BOkhwsXWE5pu0nvkp4quR3/RTpS+n4hX1+T7O0Jo0ugrf5fKTTupdphrtaAyS/6Z7P403T+oyRuWR2vLF0g7dpQxlRFfUAF3ybVvdkldfxFyc+zWXLRJXR8jnSK5Hv1+eekW6XVE7vSYRvHUt7pljZMzzLd2Jbup437omiLdqj5CPU4xR1RepApSDtRZbqz6zbdaYS6o9IekbZPrr93Zf/+4D211UFrMZMuoPUKGExnApH6f70ewD3Di6RVGh7GDSwNdpxuAIs6vFk38L7sJjyV5Wc+IIm3neM2TeLc23Xv1o41EiIcI+VMB5thepbpwDN6DxHug26LTQ41+jz9tHNn2KHNoaYd+fr6HgxEZ5oidVB8rkkXUCydxOlOIFr/Hlk+Knk9dKXsof5e517L9xSrp4oekjzV6+OxLH5RO9qNdT9+5r2kOngq6Y7kvD48VQfXN8Q3RUU5NuWdbnHD9CzTjW3pfqLcp6otbqOb87LMA5L3P7ijmTtUp/9Vur30IFOYVnKo/gYt1XDt0xV3Z0N8U1S0DpryzoubdAEdSyZhcSDQTf2/Uw/kdQmviXqDQKfQaYTaKT4vxw7ba5ptqnutef5O5+sp4UzJ9++p3TpcpoNfJef14VE68POu2JCWR3XDMc873c6H6VmmG9vS/XTDvd9t0Xsc3An+tvTkSrP062WP72U3/VmdRxyqZ3na2rDT07aYXWrCacmhTjCuIrwfIn+GTrZz2eXbCQ3x/Sbw3yrQaxFey/DUSjcNoZt7sdO7J6CXBgvdQHYeLbthuXftHr5H0XXwBgbH58FxXk99Sp7AOQQWMYF+t8UD9Twe3dlh1W1vPx3bufYaZiZlldrzR3u9QCDfq2WzluR7CYWmIW4oI0YQ6IHA0crj0ekRknt9O0neCNDP4J253sTUFtKdxSVbr5947dSO8VOS8+0gXVjKRBoEpjmBfrZFd069vOHdu3X4sw7cCe01/KcyeoNiW7ixzaDHdG+i9J/vuZNwRbQMHGqUFHb9IuBt6J4GPUzy8Qf7VXBVzrX6jbzX93Z53btl78blXuuXpZdV+e/U75MayrJT9zSc8xEgMB0J9KstPl0P1+Q87VR7Dd5hH2k7XrPtd1hJBf5UOlb6RjeFM+XbDS1s+0XgKypotuQ/Q+l36NeUr/+o3VO2aXhMJx6hPi+JvEzHz87sfOo1V39k7mtIIwoC04VAP9riH/QwTUsbXuPsNcxUxtJUb53W7ylfO1NvKDxZ+nS3Nx/pyXdbJvYQKBHwBgaPTneRPLrrd+jXlO8ZurF/lc7NbvCZOk97zj/Quf9IfRPpysrW68OeBhvUf0KR3SKnEAgR6Fdb9O79fST/3XU97es/kXNH83ehO5lotCimfD1z5r8n987ew5NbOk7HB0nuOBQDDrWIh8Q+E9hc5Xna1JqqkdvFfbxn91DfItV/FrOvjp8veRNGHX6og19Kn5f8pwL+m9uZknc9HiERIDAdCfSzLfrdf5fk0e57pMel/5D8p3K9Bs/uNE0j91peW77amS4jwzFpjySD/yRoqjZRjruvbrZqtz0Q6YsfgW7q3/9Ty5ekpk6cR6svksYk76C1s/Wxdwr671Pz+G7/5EVFdB22Vo5Zkkedv5Wukvw/Ivle8+CpLa+1eP3Wf4PnXu6GuVHhvBuOhWKmRdIwPcu0ABq8iW64T0VbtNPxf97iNU1vULJj9exO3Za9GfE3kv/DEy+djElbSYMIHj37endJ5jSnOk/bqP+23GmdtK7S2kI3ddBY1qQLaCyVyMWFQLT+d9MDzSw8lBf/RzlEOS4OjIbpWRYH3vU9RrnTFqeuVuc2jRam7nKUPIoEDtBDv0k6Tnp3AwCP7rzBgAABCEwtAdri1PKddOnRXtGkL0QB05JAW/1/QXdtmzZtNy2fbnA31cZxcHcy+SsN07NMnsbgSmjjTluc+rqYm/9ZQLeXdCVOtoxur4n99CHQVv/+n1Ii65312sb0ebLB3kkbx8HezeSuNkzPMjkSg83dxp22OPX10ReHOvW3yRUgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgMBiSOD/A65NZEhDchsfAAAAAElFTkSuQmCC)
Let the assumed mean for the given data be, a = 75.5
Now, mean of the deviation can be calculated as follows:
![](data:image/png;base64,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)
where, fi = frequency of the ith class
di = deviation from assumed mean of the ith class = xi - a
deviation ![](data:image/png;base64,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)
= 0.4
Mean can be calculated as follows:
= ![](data:image/png;base64,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)
= 0.4 + 75.5
= 75.9
Mean heartbeat for women = 75.9
Question 5.In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
Answer:The above-given data can be represented in the form of a table as below:
Let a = 57
![](data:image/png;base64,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)
Now, the mean of the deviation can be calculated as follows:
![](data:image/png;base64,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)
where ,
fi = frequency of the ith class
di = xi - a
a = assumed mean of the data
![](data:image/png;base64,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)
= 0.1875
Mean can be calculated as follows:
= ![](data:image/png;base64,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)
where, a = assumed mean of the data
= 0.1875 + 57
Mean = 57.1875
≈ 57.19
Hence, the mean of the given data is 57.19.
Question 6.The table below shows the daily expenditure on food of 25 households in a locality
Find the mean daily expenditure on food by a suitable method
Answer:Solving by short-cut method:
The above given data can be represented in the form of table as below:
![](data:image/png;base64,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)
Formula of mean is given by
![](data:image/png;base64,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)
where, a = assumed mean
fi = frequency of the ith class
h = class width
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= Rs. 211
So, the mean of the data is Rs. 211
Question 7.To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:
Find the mean concentration of SO2 in the air
Answer:The above given data can be represented in the form of table as below:
![](data:image/png;base64,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)
Mean can be calculated as follows:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAwCAMAAACIXLyeAAAAAXNSR0IArs4c6QAAAG9QTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOmY6OmZYOma2OpDbZgAAZjpmZmYAZmaQZoFmZrbbZrb/kDoAkDo6kDpmkGY6kLaQkNv/tmYAtmY6tv//25A625Bm27Zm2////7Zm/9uQ/9u2//+2///b/fKxKwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABmUlEQVRIS92W6XLCIBCAIa2mR1rb0CNUVFJ4/2fsLoFcQxOXZHTa/aGCy7cnzDJ2DVG8lUewbz84x+9UsYKXeNZKxFixZeq+2fGiB6tZM3V+s0clUwCuzoE0BBBxTPGtsykBRz0bcTaEC3/pHBL5wiE8yfnmBHktNa5IonkTLvLwrItYZhVkMqxIPOnD7eOsAO+wxg5OElOEgDrvAHP3gBQ6jimIbBQsC5t0nOuRMc48PbuU0nGy6ZRBKexbZQrcJ+NUW9imsvhhmy5MaMWeeWgyXtbQfK+CZ+Ad3F9cUUqL19SJakMmtcVIOYT67TI1JXB9UCbVMD4vSx4m74a36IAr4AhpgpcVDH6FjiecjKoeKkjzgVLlGYs6+3TX2Ak8YV5S/TXFbXjJfjPcFXb6F563YtVq6XxzWi9Yszt2t3tpYZl938P1Pq5UWnxioem70k77d+lxgJituXGAiLvIOED1qacfHQcW8GLjwAJcdBxYwIuOA8m86DiQTGOxcSCdFhsH0mmxcSD9/bjaOHBOAv7LOHBOrH9b5weElx5pLJIYVwAAAABJRU5ErkJggg==)
where fi = frequency of ith class
and xi = middle point of ith class
![](data:image/png;base64,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)
= 0.099 ppm
Therefore, Mean concentration of SO2 in the air is 0.099 ppm
Assumed Mean method is not feasible for this question, because the values are too small and taking the steps will make the calculation tougher. Use Assumed mean or step deviation method when the values are larger and can be reduced with the help of steps.
Question 8.A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent
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)
Answer:The above given data can be represented in the form of table as below:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXAAAAIDCAYAAAAdR0XNAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu2cCbgtRXmu4TLPs6IyCAJBZlEJg4ZwMUG9QAQvyKRyBW8kiI9CAhdNAjgBCnJFA0TgciSoqAxGBGJAOAwiGCYZZTybGZF5ns/9PuiWOr17rVVrr15r96p663m+Z3VXV/9d//t3/11d3XvPNRcFAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAExonA3AN2dvaA+7M7BCAAAQhMEwES+DSBb8lhiX8zgWgbx7b1pxnK6VmZ/d/S8wmPIAABCORBgASeR5zxEgIQSJAACTzBoOISBCCQBwESeB5xxksIQCBBAiTwBIOKSxCAQB4ESOB5xBkvIQCBBAmQwBMMKi5BAAJ5ECCB5xFnvIQABBIkQAJPMKi4BAEI5EGABJ5HnPESAhBIkAAJPMGg4hIEIJAHARJ4HnHGSwhAIEECJPAEg4pLEIBAHgRI4HnEGS8hAIEECZDAEwwqLkEAAnkQIIHnEWe8hAAEEiRAAk8wqLgEAQjkQYAEnkec8RICEEiQAAk8waDiEgQgkAcBEngeccZLCEAgQQIk8ASDiksQgEAeBEjgecQZLyEAgQQJkMATDCouQQACeRAggecRZ7yEAAQSJEACTzCouAQBCORBgASeR5zxEgIQSJAACTzBoOISBCCQBwESeB5xxksIQCBBAiTwBIOKSxCAQB4ESOB5xBkvIQCBBAmQwBMMKi5BAAJ5ECCB5xFnvIQABBIkQAJPMKi4BAEI5EGABJ5HnPESAhBIkAAJPMGg4hIEIJAHARJ4HnHGSwhAIEECbUvg+4nxvdJsaesEebfZpWGyf7scP1e6UbpN+lGbQdC3aALENRpVOxs60caWtdRwhnSndJ/0R+ki6UvSKlJZVtNCmxL4TPXn0aJPD+l3xp96Gr/wl2r6f+KbT1vLftnHxv88eXRG4dWS+nUSd9zvkOafNm/bc+BYjr16vIUa+Fxdv1fDHttj+9NkXJvqew/Xkto8e1Qj8B2E7b+k66V1pbcVOkG/Tmy3tBjrX6pvnyv6t61+d59CX21jHBL4FFzrucvcavE+6eKi5eP6XU96RLpLerWnBRrEEni6YPpc7A4DtGs6rqPs+wBup7VrzJ3aI2+fUP/cwfVPqP7lYFu/o8AOZhut3k3W7OvGU7R6sPZz4mp76Zd9TPwXlNNu95m2Oz+N/YvhOMruxfSHuI4yIvXHiolT/Z5FbYyBk9X2RWmpDpZ8IpwebKtLIito+/ek30lXS9dKB0sLBPt58b9Lv5bc5jrpF1I4l76q1s+UbOeaou2++u1V6hL4g9rJ/vvXj6xXSh5FXCKtHhj01MGTkkeant+3jg62/5mWfy5NSLMkzxWvHWw/Vcs+jvXn0k+kp4p171cu2+6Wkss3JD9Ke9s/SPNKX5WuKmT/HZflpbDUsa80mWO1V/zNzf1yu8eKZc9//4vkKTTXrynlXnpxdJyfL3j5vHaZIT0j+UnG53DIetCbZa/+9BPXUff9NTiZlF5x6okhxoDnjcuTrqdBNahLIk7Cl0mLFAYW1+9M6bDA4Ju17BP6g0Wdp4eOkP4jaOMke2iw/jdajnncrEvgK2rfYyUnSifVTaS/kDzH/yspLAdrpW4E7hvTw9JJkvvrx1Ind9e9RXJZTvqkZNYXSu6Lp6EulT4r7VJs21C/YXHfdi4qFtWv++kbmMs80jclM/Uxy1LHPtg8aTEm/r5Bu101qThOrieBv85hEtxKRXkOfqyoX0a/vhH7tyydWFdM9VxtOq6j7HtP5xJqEBOnru72MrCw9nab/+xqZc6NdUlkMTVxIgvLHlpxoivLB7TgY60R1HmE+bfF+nz69Sj4fwfbvXhQZb1utS6Bu51vID7mOsFOB2j5JckJuSwHa6EugXsk6rahb/b1WSm8OZXJ7u//ZHGuuTbQshP5QoVtJ/6y+EKekPzr4r68vVguf96hhWrf69hXdptjtVf83bhTUil9WrPbATLZFsPRKP5d8pOLz5dTpe0rfDqx7hdjTH86HatTXEfV9359Hef2I3uJGXNCdAPpkbVHHldId0sT0mGSRx8ejbt4NPKE5NHvP0grSw9K/+qNKk6Ul0tHSd+S3v169VyHFL9T/fGj7Q3Bzp4ymFcKR0adbHvK43bJF2VZPO3hrzPK6ZBg02vTQ2XxNNL1kp8gfix5tO2blMt2kp883DcX37g8VeOvBiYKzfQGlXJUXqzy02ICHoz46Wmm5GvK03PjUsa5761lHI4Sh9FJjyQ9Sq7OtfZ7rC9qByfeL0tOzG+XvlAYKT9DcxLcSHICP0iakC6Swk+qPqT1/yvtJHk65VZpR2mQ4ptGWF4pVnyh9SrLqsEq0kRFnj4pb0yhDc8j15UZqrStbYqNu+vXdWXZXAvnSL+R/ITydslTPi4lv2KVnxYT8IDE57Y/DPDNeJzKOPe9tZyHncDtuBPHO6UlOlBYUvVbS0t12O7qXSXP+Z4tdRvNOyHvLvmGsafkZPVLqUxSTrZfkjx/7WTu9VMlT0dMR/HN7Sbp7RU5GXvEHFucmG+Rdpc8r275aaMsvmH5xuIboF8oU8aTgK/X/yn9VvKLar/3GZcyzn1vLeNRJPCvy/uXpb/rQMFzxsdInibpVMqpgXD7WyuNN9P6p4s6fw1youRk7ZPcc4Ye0ZbzxE5mnmLwtIxf4oVffWi18eLpGx/Hxcx9w/II3aMoz0X7XUFYdtDK5yt1vVa/rwa+KXn66N8qjWP49bLP9ukn4HPC04jbSj6fjp3+LkX3YJz7Hu3kqBuOIoF7ZOgvJQ6U9pEWLJz0735F3af0221keJa2v1/yi0qXt0t7F8vlj6cdPNVSJnYnSCd1H/8+yaPwvSR/KVIWL3ue2CPYYZa7ZNxfgvgpxC88/5/km8ihkuewD5PKKZc1tXyk5DnufsrJaux4mks1gZufk7hvaL7w/TXPwRJlfAj4adJPov8s/UH6nOR3HTuPgQvj3PcxwDv1Lnabzqha9bzdKdIsaUK6Q/qhFM5RO6H7JaDt+iT9juTihONRuufRPE3iaREnObe7W/qI5GmD70p+oejkd6P0U2lVycUJ7J+kqyRv96eNl0hbeGOX8itt8/y6j/WA5JG9i/vgKRgn4gnJI+mvSWXbe7Tsx12XhaRfSH5h6f6V9d7m/U6X3P5qyX36sDcU5RD9moWP7xuRj9up+KnCqiu+4M38fukyyaxt8yHJN5BO7LWpY+kVfycc37zc7hFpQtpYclxDn3zsnEsvjkcIjt9/WH5idfG55P08APA5WmXtc3+qpVd/qsea0IE6xXXUfZ+qz+O4X6849fRpYAM9j0CDNhMg/s1Ep20c29afZiinZ2VknxGmhw6PIAABCEwzgVHMgU+zixweAhCAQJoESOBpxhWvIACBDAj4i4RBCnNlg9BjXwhAAALTSIAEPo3wW3Bo4t9MENrGsW39aYZyelZ4iZleTPEIAhDIhQBz4LlEGj8hAIHkCJDAkwspDkEAArkQIIHnEmn8hAAEkiNAAk8upDgEAQjkQoAEnkuk8RMCEEiOAAk8uZDiEAQgkAsBEngukcZPCEAgOQIk8ORCikMQgEAuBEjguUQaPyEAgeQIkMCTCykOQQACuRAggecSafyEAASSI0ACTy6kOAQBCORCgASeS6TxEwIQSI4ACTy5kOIQBCCQCwESeC6Rxk8IQCA5AiTw5EKKQxCAQC4ESOC5RBo/IQCB5AiQwJMLKQ5BAAK5ECCB5xJp/IQABJIjQAJPLqQ4BAEI5EKABJ5LpPETAhBIjgAJPLmQ4hAEIJALARJ4LpHGTwhAIDkCJPDkQopDEIBALgRI4LlEGj8hAIHkCJDAkwspDkEAArkQIIHnEmn8hAAEkiNAAk8upDgEAQjkQoAEnkuk8RMCEEiOAAk8uZDiEAQgkAsBEngukcZPCEAgOQIk8ORCikMQgEAuBEjguUQaPyEAgeQIkMCTCykOQQACuRAggecSafyEAASSI0ACTy6krXVoZfXsEuneHj2MbdfDDJshkD6BUSXwJYXyeOkW6WbpbGn1PvAur7bfk66VrpdmST+SFu7DBk2nj8BOOvRF0lt7dCG2XQ8zSW5+h7w6Urq60K36vUDaYpq8je1PbLtpciPvw86OcH9utblYOkdaQPL64dJ90nIR+zt5O2H/bbGvd/lz6SVp2Yj9aTI8AjHxd8xnSitJp0mdRuCx7YbnzfRZjuH4WXXvfmm1opvz6Pco6Xlp3Ya73mR/RtnvhjG03lxMnLo6EWNgO1lwu3UCSwtq+QnJibxX+b4a/Kym0Vaqm7+mnqrREYiJv2/Y5ZNetwQe22503o3uSDEcfR3tVenSClr3vvs33NUm+zPKfjeMofXmYuLU1YkYA6fIwkM1Vs5V3e019WHVYlrxCONTPdqxeXoIxMQ/7Fm3BD6VdtPjdfNH7Zdj2YO1tOB9m74+ht2fYfW7+ci02+LsUcyBrycGs2o4uG5VaZGabWXVhlrwo/Vz0omS5789j+758LeUjfiFQIYEVpHPR0uenvxBC/yP7U9suxa41P4ujCKBe576yRoUrvNj89I128qqFYuFf9XvedL60vsl38EvlRYvG/ILgUwI+OW/3yPcKfka2lF6YRp9j+1PbLtpdGX8Dj2KBB5DZV418pcqpcpRuefKXTzKOFV6VfJ0zBckj97/lzdSIJARgdvkq+e+l5H+IPmp9D3T6H9sf2LbTaMr43foUSTwh4XFc9nV4tGz59oelT4gPRbo9KLxU8WvPx8Mi9e973sr9axCIBcCvm78hYdH4Z5Kme4S25/YdtPtz1gc3yPfYZfrdIC/rjmI58L8GPiMdLnkqZGyOJm7/L74rd5onLytan3RnB8IJEdgIXnkF/rhC8ZXtO4R+IemwdvY/sS2mwYXxv+Qo0iAZwiTv/deO8DlF5ObSOVI+3Ete0671I1FWyf/uyS/CA3LO7Xivv9XpZ5VCKRKwO+ANqtxzu+JPKoddYntT2y7Ufef44lAzOdGflHpOWz/9WX53fahWvYfJcT8IY9f0rwsfVBy8R3dfxR0h+RpGMr0EYiJf9g7PiOsj1UMRw9ufB29KTCxj5a973R8Bx7bn9h29WSo7UYg5rzptn9UArcBv5w8QfKf//pP6Z2A1+hqec6NTuKe9/YnhBPSyRKfEfYBcEhNY08gfwLquHm6zDdjL19d06fYdjW7jnVVDMf3ycMZkp9OfyfdJDmh7zAEz5vszyj7PQQUrTYZE6euDgxsoKt1NradAPFvJkJt49i2/jRDOT0rI/lDnvSw4REEIACBFhAYxUvMFrhJFyAAAQikR4AEnl5M8QgCEMiEgL8QGaQwVzYIPfaFAAQgMI0ESODTCL8Fhyb+zQShbRzb1p9mKKdnhZeY6cUUjyAAgVwIMAeeS6TxEwIQSI4ACTy5kOIQBCCQCwESeC6Rxk8IQCA5AiTw5EKKQxCAQC4ESOC5RBo/IQCB5AiQwJMLKQ5BAAK5ECCB5xJp/IQABJIjQAJPLqQ4BAEI5EKABJ5LpPETAhBIjgAJPLmQ4hAEIJALARJ4LpHGTwhAIDkCJPDkQopDEIBALgRI4LlEGj8hAIHkCJDAkwspDkEAArkQIIHnEmn8hAAEkiNAAk8upDgEAQjkQoAEnkuk8RMCEEiOAAk8uZDiEAQgkAsBEngukcZPCEAgOQIk8ORCikMQgEAuBEjguUQaPyEAgeQIkMCTCykOQQACuRAggecSafyEAASSI0ACTy6kOAQBCORCgASeS6TxEwIQSI4ACTy5kOIQBCCQCwESeC6Rxk8IQCA5AiTw5EKKQxCAQC4ESOC5RBo/IQCB5AiQwJMLKQ5BAAK5ECCB5xJp/IQABJIjQAJPLqQ4BAEI5EKABJ5LpPETAhBIjgAJPLmQ4hAEIJALARJ4LpHGTwhAIDkC45TA9xb9Z6U9k4tCHg6tLDcvke7Nw128hMDwCYwyge8sdy6VrpLulK6QdohwcTm1+YX0KWmhHu3fqe2/lG6SbpWOkRbrsQ+bh09gJx3iIumtPQ61pLYfL90i3SydLa3eY5+cNm8sZ8vz+3ot/1aKuYaGxSi2P8R1WBEY0O7syP0PVLsrpbcV7efX7+nSdyP2/ye12UtaR/LxOo3A36JtD0lu7+JkP1P6z2Kdn+YJxMR/gSIOK+n3NKnTCHxubbtYOkfyPl4/XLpP8k085RLD0TeypyUPSsqB1x5a9r7bNgynyf7kHNeGwzLJXEycJu0UVsQYWEM7vCRtULG0Yk1d3cHmKSp7JfBvq92D0ryBkU207D5+qM4wdQMTiIm/L+Ay4XRL4NsVsXKcy7KgFp6QnMhTLjEc9xUAt1ulAsKDlh80DKfJ/uQc14bDMsnc7FFMoXxSh3VivbZy+Htq6ib1UBWv1FXW1H1UdR7BvRxs8zTNM5K3UaaHgJPBqxGHdoz+KN0QtH1ey5dJxO+N8zocoBiVBzix10iAduDF8jrr1R/iOjDqzgZGkcA31eFvl3aVfi39XvJcuOfEmypLy5CnZ2ZVDDpx3C2t19SBsDM0Ao5RNX4+mOtWlRYZ2pHHw/Ap6qavo4MlTw/62j1AcgI/Shp1ie0PcR1iZKp3z2EcylMly0s+0fw49bDkl1p+7HPi/Rdp0LJsYeDJGkOuS30OtcbtsatyDG+s6bXj52kYnyt+msq1PCrHt5ROlrzsL7L8+2HpmmmAEtsf4jrE4IxiBO55TI+ePIfn+TqPin8onSsdIjmx+0biN9Wlch9tCQUFAnMQ8LsBTwn6Ky5fJx6UfEU6X/rIHC1Hs9K2/ozG65YdZRQJ/Cn57HnQ6yq+e9SwjOSXMh+QHgvkL1T6KR7Vu9R9Mri46h/pxxhtp4WAY9gpfj5/POLLuXy9cH5//b4geSDk0fhF0nHTACa2P8R1iMEZRQL3nLcfga2wlC9e3IfLpfcH2q/StteqL25/bua50rDYtj9fq948Ks1YbQEBx6gaP3fLN3j/3UDO0yfmsK50h1R9Yem/d3hzIbcbVYntD3EdYkRGkcDPKvrvgIfFj2BOvD4pH5f8YrNU3VzonHtPXjtDVb4JlJ8dusVGkqdj+h3RT7ZOzbAJOH6eFlg7OJC/B/enoMTv9elHD0aqA6GVVecRua+hURZPh8b0h7iOMip9HsuPtr3KfGrgTwjPkxYuGvtljL8N95/HxxYnfB9vzw47lH/I86Viu9/UXyj5uJThEIiJf3jk07Ryb4euODFdLJ0t+Q+9XA6V7pdSfwkdw/Hj4uB2/vKkLFtpwZ/zHR3UNbHYZH9yjmsTsehmIyZO3fZ/7YSKKb4AZ0h3S7dInv/eLWZHtfHIfULyFImP5zk1r39Cqpa1VOG/vCz/lP5YLdfNq1b3Y31qBGLjf6LMT0ieBnHC8fLVNYf0y7kTJE8L+E/p/VeZ/kOw1Essx20Ewjc5s/H38r6OPAhq+muypvuTa1yHfd7GxqljPwY20NEyG8aBAPFvJkpt49i2/jRDOT0rI/lLzPSw4REEIACBFhAYxUvMFrhJFyAAAQikR4AEnl5M8QgCEMiEQPWTpH7dZq6sX2K0hwAEINASAiTwlgRimrpB/JsB3zaObetPM5TTs8JLzPRiikcQgEAuBJgDzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcgVEm8JVF7xLp3iFT/EvZv0c6JeI4C6rNhPRwRFuaQKANBEZ1HQ3L11NleLa0zrAOgN14Ag5ETNlJjSakO6RuCXxJbT9eukW6WTpbWl2KKfOp0delG6RnpJgEfqDa2QcSeAzhyW1i4u84uF0nLTzZbHY1MRwNJeY6cmI8VvL1c710k3SMtLwNRJbY/mwse7+UfAwf67fSDl2Osam2lecBCbwLqMhNsXHqaC7GwALae6a0knSa1CmBz61tF0vnSN7H64dL90nLSb3KVmrgE3UhyQm5VwJ/s9o8IF1QtO9ln+2TCcTE33H4hrRbRT/S+mWTTWZZE8Mx9jq6VgR9DS1ekPS1c5U0S1o0km5MfzywelryNVc+ye+hZe+7bc1xfD1fLp1VtCGB10DqsyomTl1Nxhhw4MoAd0vg29UE1lMcT0hO5L3KPEGDmAT+PbU/SHKCcXtK/wRi4n+ozG5WY/pK1X2ipj7HqhiOsdeRE/gGFYgf1bqPsWsk3Jj+7FvYXKVi8yGt/6DmOLuozoOlPYv9SOA1kPqsmj2KOXCfDK9GdMwn2R8lT4GU5XkteJTmbb3KK70aBNvX1fIHpW/2sQ9Np0bA01S/ruz6Xq37wv/J1ExmuVfsdbSR6DiJh+X+YmWpBsm9XNiat2LTA6nqteiB2Nek/Ro8PqZEYBQJPBb0emo4q6ax61aVFqnZNtWqb2nHf5aenaoB9huIwGe090mSb9CUZgm8WGNujaLuopptU63yk+vt0sGSpy2dSw6QnMCPksLixO1jX1OpZ3VAAtW754DmBtp9We19Y42FJ1Xnx8elJb+cHLRsLQPLSCcPaoj9p0TAL6o/Jr1rSnuzU78EfO18WvK0hl80NlUelaEtJV9HXvZgyL8flsJE7Zen+0gbSpSGCbRpBB7rmhNAqSVidyra+YblaRPP38VM6/RpnuYRBD6pNr+RbotoS5PBCXxeJny97D24qTkseA77CskvSG3fL0u/Ip0vfSRo6amT46RyGifYxOKgBNo0AveLxMVqHPLbdM//+e7uubTHgjYvFHU1u9VW7aVaf6I4s3YrlaMg4OmTL43iQBxjrh3F4O+kLSR/DNBk8Se7LvtL5Zy3R+M7S07YP5PWl/5KWlOiDIFAmxL4dfLvr2t89MuuOyVPn/hx8P1Bm35H0X7k80ueicCGp248h1fWba7lu4LtLDZHwInEN+SfN2cSSx0I+MW/R8Q+5+/t0GaQan8I4L/rqL6wvFV1/kDAn+k6eXvQdVNwoEWLZX8//pLkefMfB9tZHCEBj4z7KaepcaeTaXtts721A4P+9vVxKeYzwrAfHs37JUtMcTu3p/RPoN/4+6uTQ/o/TPJ79Mux23VkWL6W/KS5UkBuEy0fFEkypj+ePrlb8qAqLB55++W0r926sqcqbd9TMJTBCIzkM8LYLp6phpdI/qOP+YudDtavX44cEWuEdq0l4JdZ20j+S1vK8Ag4efuF5felv5DKP6Dy31n4abap8l0ZWlHyFEpZttLC1pL/xsLTm5SWE4i5U9uFE6UJydMg/n7Uy1dL1eKXISdIfgzznwKfI5WfQFXb1q37K5YJyY91/isxLx9T11B1/rTJ293O7b3Mo70g9FFi42+T/yh5dEaZTCCWY8x15FGx7dVpxuRD19bE9sc35IslX6v++w1/feKXpXVTs/5jrgnJT7u2f1+xvrB+KVMjEBunjtYHNtDRMhvGgQDxbyZKbePYtv40Qzk9K62aQkkPLx5BAAIQGCKBcfwOfIg4MA0BCEBgfAiQwMcnVvQUAhCAwBwEqp8A9YuHubJ+idEeAhCAQEsIkMBbEohp6gbxbwZ82zi2rT/NUE7PCi8x04spHkEAArkQYA48l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIERpnAVxa9S6R7IymeqnazpXUi29NsPAgQ18Hi1O91NNjR2DtpAk6wMWUnNZqQ7pBiEvimamfb/STwrdT+TOkW6XrpOml/aQGpWt6pil9KN0m3SsdIi1Ubsd6TQGz8S0NTiWvPTiTQIJZjzHV0iniU107d78IRvGL7Y1M7S5dKV0l3SldIO1SOsbHWy+vN1+Zva9pUdmE1gkA/cao1F2PACXSmtJJ0mtQrgc+tNpdLZ0mxCXzJou0h+i2fKt6l5Seln0pheYtWHpL+qahcSL8zpf+coxUrMQRi4l/amUpcY/qQQpsYjrHXkRP4N6TdKvqR1i+LhBXTH5s6ULpSelthd379ni59NzjO6lp+WvIgqbw299Cyj7Ft0I7F/gnExqmj5RgDvnDLwMUk8F3U/gJpT6mfBP5ocGd9a/cAACAASURBVJyyw98pbKwQePBtLT8ozRvUbVK0+1BQx2JvAjHxL61MJa69e5BGixiOsdfRoUKyWQ0WJ9pP1NTXVcX0Zw3t+JK0QcXAipW6fbVue6tU2nkQ9YNKHav9EZg9ijlwB+/VyH4tqHZfk/aLbF82e1wLy9cc5/6igUfoZfmoFi6WXg7q/Nj3jORtlOYJTDWuzfdkfC3GXkceFf+64uZ7te4E+pMG3f+kbHkgdG3F5j2VuvI6CwdM3mUe6ZUG+5OlqVEk8H7AOnFfJF3Tz05F2xdr9vEowSeZ58Vdlpb8uDerWC9/fIO5W1qvUs9qMwQGiWszPcjbymfk/knS8w1i8PuM26VdJd8wfi95Ltxz4mHxlI7bHSx5utI55wDJCfwoiTIAgepdcQBTA+/qEfQ+0oYDW3rdwLL62V5y8vCjnovrXDw3Xi2uW65ayfrABJqO68AdysyAnz4/JvmdUJPFUyWOrRPxdtLDkl+yelrEA6V/kVw8tbmldHKx/Gzx+2H9TmWg9ppRyusE2jQC99TJcVI57dEpRj4hSy3RoZH9Ol76uXRChzZUj4ZAbFxH05v8juKpjt9ItzXsuqfFFpE8x+35bD/F/lA6V/LHBE7sLv4M2FOU/krF160HSV+Rzpc+IlGmkUDMy46we51eYq6vRp7CCD9xqnuJ6ZPGxyzV6ZHQLy9/Ic1XYeORgfc9rFLvVX9S6M+bKPEEesU/Nq7xR0yzZS+OVa87XUfVdl6/WfKTaD8lpj+266TtL0/C8lWteP/VikoPoh6QyoRetnWi9/QmZeoEZrdlCuWv5IOTs5NoWRYtFvz9qKdAPG/mlzDvf6NJ7ctRz6v5hY1fSJZTJ+Uufpy7T1o1sOFFj9j9meOplXpWByMQG9cfD3YY9u5AYAvVLy45iTZdPOe9puSvY8JSvpgsn+7X1Ub//Uf1haX//uKD0pulP8xpgrVREYi5U4d96WfkUDcC7+XXt9TAI+/wj3c+q/Wtgx2P1nJ1RLCx6uwLnxH2Ijzn9n7j772nEtf+ejV+rfvlGHsdecDj6Yx+S0x/PiWjbveeinF/B/6IVI64PX3ip+tqov+Z6vwEHV6rFVOs9iAQE6euJvo1EHvi+aD9XuhHah/Pxe0hhX/EcJbWdw+8KP+Q50tFnd+MXyidF7RhMY5Av/G31X7jGteT8W7VL8eY68gvGJ+Twr+BiKUU0x9PT/oTQl835dSnX1b6qXfv4EAf17Lt+Qm6LFtpwZ8XejBFmTqBmDh1tR5r4ERZmZD8rbUD5+WrO1jerNj+sH5t31Mebh/Oj1d39ZSI23bS7pUd1tK6//Ky/FP6Y7W8WNUo6z0JxMbfhqYS154dSKRBLMd+rqN/FBuPcqdSYvvjF5IzJI+w/amuvyrx4KlatlHFxZLnzW+Q3M5Jvi1TuNX+jst6bJw6+jOwgY6W2TAOBIh/M1FqG8e29acZyulZGclfYqaHDY8gAAEItIBA+aa4BV2hCxCAAAQg0A8BEng/tGgLAQhAoEUEqp/29Ns15sr6JUZ7CEAAAi0hQAJvSSCmqRvEvxnwbePYtv40Qzk9K7zETC+meAQBCORCgDnwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF9LWO3SqejhbWqf1PU2jg/BOI45D8cIXYq/iC/VY6Wbpeukm6Rhp+Zodl1Td8dItRfuz9bt6Tbu6qq1UeWaxr49znbS/tEBN491Ud6Xkdu6Xj7NhTTuquhOIiX9oYVOteB8S+JxcYzj2cx2V1qfKO6Y/Psb7pF9Jd0gT0rnSWt5QU3ZW3aXSVdKd0hXSDjXtqIonEBunjhZjDFyrvc+RFi+sLKdfB3GWtGhgeW4tX1y0ddL1+uHSfZL36Vac+N2XQ6TyqeJdWn5S+mllR59Ibutfl3mlk6THpBWLOn7iCMTEv7TkeF4unSV5P0bgbzCO4Rh7HTXBO6Y/m+lAL0oHFAd0fI+SHpaq19GBqvOA6W1F2/n1e7r03WKdn6kRiIlTV8sxBnzibVCx8lGte99dg/rtirrwwl5QdU9ITuTdihP4o1J1Sug7qvNxVgh2/rmW76oY86jB7T5dqWe1O4GY+JcWdtHCBdKeBWsS+BtsYzjGXkdN8I7pz3k60N1SeM0tonUPmo57w7W51tDyS1I1BzjJV+uC3ViMIDC7mvAi9um7yUbawydfWO4vVpYKKp3U/yjdENQ9r+XLJG/rVh7XRk/JvFppVB7HCb4sL2vBo+6wlOuvVOpZbYaAb8Rfk/ZrxlyWVmKvI8MZBe936zieDg2vuWe07umUbYMIfVLLD0rVHHBPTV2wG4sxBEaRwP2YVS2+K7tcFGxYT8uzqg2LulX167t7t9LpOD55PKdeliO04OmcfSQ/9tnuwZJPxp9IlOYJOHE71tc0bzobi53ObwMIryOvj4K3k/U8NfSd0N8ilVOmnoe/XfLT9q+l30ueCy+nMLVImS4CMY9a1b45aTqAp1Q2eLTsx7JqOUwVPk51Xq3arrq+rCo8/eJH9mrZXBV+keL5Oo/yfVyfdJT+CMTE309Gvom+tTDNFMpkxjEcq3t1uo6a4B3TH09FPiDNF3SsnELx/uW0pZP305Lfb71J8qDR02lO9HtLlKkTiIlTV+tTMfAFWfQ0yRIVy7EJ3NMhpao2SpM+SfxFyr/V9N4nz7PSjpLbLST5Kxk/0q1W056qzgRi4n+idj84MEECn8wzhmN1r07XURO8Y/rj+Ws/FfiJ1i8lPW3jue+nJO+/jORyb7H+nmK9/PGXXx5A1Y3iK01Z7UAgJk4ddn29ul8DTpq3SeFLxfIA/uzv8pqjHaM63619d/dJ4mOW8ui5rnxHlb+QwtGB2/lk8dcm1akSf/XiefQfuxElmkCv+K8vS3dLCwcWSeCT8fbiWN2j03XUFO/Y/vgzwnMkX9P+ssxfm/hLFI+4y+lZf6br69dJPixf1YqPw6CpAqaP1dg4dTTZjwG/iPRc9EodrJ2i+odqtvnbUj+Gufix0SdNKc+vVYtPICfvuu+/V1a9++yTp1p+pwqfbJR4Ar3i//cy5ZhOBPKoy/v581DXf0zKvfTiGPLpdh01xbuf/lRj588Dzw8q/SRse9Xr8ZCivnwfVrXDem8Cg8TpNeuxBrZX22ry3kR1BwV9dBvbWzuoK0fGvT4jLHf5lhaqyfuzqtu6aLCYfl+WqlMrHpk7scws2vETRyA2/qE1RuCT2cZyjLmOqtanwjumPx6IecQfFj8l+3Pe8Kb8Ka3bXnUKxYn+EYkplDkQ9rUSE6euBmMM+KR7TvqitFugb2h5RmDdo2u/6PDcWPm4daiWPTfe6w95bOZIyaO9PaTwOGdpfXc3KIrnCF+QNi/WfdwvS/bFoxtKPIGY+FetTSWhVG2kth7DMfY6qrKZCu+Y/vga8xPr0sUBPU3mp2iPuMPiaUx/QugPBcqptC217G/DeYk5J6t+12Li1NVmjAHPgbpdnWZUrPvl5AnSrZJPDs+vxTxirdrBfnnM3YPj+IT6vOST6gbJx7lQ2ipow2IcgZj4l5Y208KEVJ1CCefH446aXqsYjv1cRyY0CO+Y/myoY3iq5C7J11I5B1597+S+eAA2Q7IPfhK/RvINgDIYgZg4dT3CwAa6Wmdj2wkQ/2Yi1DaObetPM5TTszKSv8RMDxseQQACEGgBgfJTnxZ0hS5AAAIQgEA/BEjg/dCiLQQgAIEWEfAXGIMU5soGoce+EIAABKaRAAl8GuG34NDEv5kgtI1j2/rTDOX0rPASM72Y4hEEIJALAebAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIXAKBL4OoJ5rHSzdL10k3SMtHwN5I1V98uijdv+Vtqhpl1d1eaq/L50nXStdKv0Q2nVmsa7qe5Kycdwv86WNqxpR9XgBN4hE0dKVxdyXC6QthjcdFYWYjnGtmsC3vtk5FfSHdKEdK60Vo3h2HY1u1I1TAKzI4w7mZ4jLV60XU6/V0mzpEWD/VfX8tOSk3t5Y9lDyz7GtkG7TounacN5UnmcJbR8iXSntGCw085atk3/uswrnSQ9Jq1Y1PETRyAm/p+Vqful1QqT8+j3KOl5ad24wyTfqkmOTfCO6c9misqL0gFFdOYu4vqwfsPrKLZd8kEegoMxcep62BgDTuAbVKx8VOved9egft+ibpVK24e0/oNKXd3qIarcpLLBI20fZ6Og/udavqvSzqMGt/t0pZ7V7gRi4r+dTOxVMbNCwXv/7uaz2dokxyZ4x/THg6W7pfApfhGtPykdF0Qutl02wW7Q0dkefQ67OHn6Th0Wj8hclgoqXy6Wq33yiO2VoF2nxYNqNpSj8Ucqx6keo1yPOU7NYajqQuDMmm1lXDxao8QRiOUY2y7uqJ1bvVubPMX5atDkGS17OsVPzJ8p6mPbdT4SW4ZGIOZOXXfwT6rS+4aP0Etr/TbJo+2FJN/Z/Xj2uPQuqZ/ixzmPxj1COKyy46Zaf0raR3I7jxrOkG6Uwimdym6s1hCYSvz9hHW+dJG0QI3NHKuGyXEqvGP6c48C5dF1tXh61PuXN+nYdlU7rPcmEBOnrlamYsBJ81LplBrLK6lupvSc5FGzE7oTbj/F0zLe16P+r0rz1+y8ueo8N+4RoOdifSK+paYdVd0J9BN/v+O4V/I+vmG+ubvprLYOg+MgvGP646nIB6T5gkiVUyje39NkLrHtAjMsRhKIiVNXU1Mx8AVZvEHyS8awrKMVnxBHSh6ZeQT+CelZ6SNBwyW1XKpqI2g21xpa8UvMq4v25bZdtGCbO0o+hkf7/krGI4XVykb8RhGYSvz9pGXefrfxnqijpN9omBynwjumP36v5UHSEZIHSf5QwHPffrr1/stILrHtiub89EEgJk5dzfVrwEnTo+ry7hwaL+/UnvMOiz9NerCo8EniY5by6LlbWblo+/WikW37a5OfVHbyDcNTNT/uZoxtkwj0G//SgONwu3TZJIt5VgybY7+8Y/vjzwPPkXxNe+rkQMlfGPlrsvDlZmy7PKM/da9j49TxCP0Y8Jcnt0ieJqkrs1TpqZVq+bYqfBw/cnv6xSdDqXB6ZeHqjsW6E7a/LXcpE7qnVqrld6q4uVrJelcCMfH3E47jVi1+2dbrBlzdJ9X1Jjk2wTumP51icbo2+B1HrxLbrpednLcPEqfXuMUa2F5tq8nbLxkPCuhfoWW/dKxe7D9TnS/0bi+8/BWJp0Wq891+keIvS34ouSwmvSz9W7Fe/niE4vnwmZV6VrsTiIm/b8q+4VbLlaq4v1qZ6XqTHJvgHdMfD8TWr8TLc+CPSh8L6mPbZRr6gdyOiVPXA8QYcPL2S8kvSrsF+oaWZwTWP65l2zsgqNtKy064Rwd1dYtO4N7Xo/Uy0XtEforkebowgZyo9RekzSUX3zC+LHl/PyVQ4gnExN8J5WLpTYHZfbTsffePP1TSLZvk2ATvmP74WvYTq+fYXcrrrfoZY2y7pAM8JOdi4tT10DEGPKp2uzrNqFjfRuu+2H1i+EXnNdLekhN0r+ITxX8Sf5NUTof4a4f3Vnb0W/PPS9dKPoaPdaHkmwWlPwIx8ffNc4bkzzQdF8fHMY79Fwn99Wg8WzfJsQneMf3ZUKjPl+6SfC2Vc+DhVymORmy78Yzc9PY6Jk5deziwga7W2dh2AsS/mQi1jWPb+tMM5fSszA7fFKfnHh5BAAIQSJgACTzh4OIaBCCQNgESeNrxxTsIQCBhAtVP9vp1lbmyfonRHgIQgEBLCJDAWxKIaeoG8W8GfNs4tq0/zVBOzwovMdOLKR5BAAK5EGAOPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYUUhyAAgVwIkMBziTR+QgACyREggScXUhyCAARyIUACzyXS+AkBCCRHgASeXEhxCAIQyIUACTyXSOMnBCCQHAESeHIhxSEIQCAXAiTwXCKNnxCAQHIESODJhRSHIACBXAiQwHOJNH5CAALJESCBJxdSHIIABHIhQALPJdL4CQEIJEeABJ5cSHEIAhDIhQAJPJdI4ycEIJAcARJ4ciHFIQhAIBcCJPBcIo2fEIBAcgRI4MmFFIcgAIFcCJDAc4k0fkIAAskRIIEnF1IcggAEciFAAs8l0vgJAQgkR4AEnlxIcQgCEMiFAAk8l0jjJwQgkBwBEnhyIcUhCEAgFwIk8FwijZ8QgEByBEjgyYW0tQ6trJ5dIt3b2h7SMQiMGQES+JgFbEy7u5P6fZH01jHtfxu6/Q514kjp6kK36vcCaYuazr1Pdb+S7pAmpHOltWraDVLVtv4M4ku2+87O1nMcN4GY+C+gdjOllaTTJEbgk8+dGI6f1W73S6sVu8+j36Ok56V1A5ObaflF6YCibu6i3cP6XTFo122xbf3p1tect8XEqSufgQ10tT78jQvqEBOST25K/wRi4u8EUj7pkcDrGcdw3E677lXZfQWte9/9g/rztHx3wNybFpGelI4L2nVbbFt/uvU1520xcerKJ8ZAP49aG+tov5Rukq6Xfivt0LUHg208ULvbh04JfEltO166RbpZOltafbBDJrV3TPxDh0ng9eHvl2NpxdMi3vdTgdlHtfwfNYe5RnUewceUtvUnps85tplqnP7EKsZA7KOfE+PT0jFSOWLbQ8s+xrZDiM6bZfMByfOIdQncI8eLpXMkTwN4/XDpPmk5iRI3hRJyIoHXnzUx11F1z1VUcb7kdws+P8tyjxY8Cq+Wq1Th4yxe3VCz3rb+1HSRqiKeA4GICXTso9++RYd8YoblIa38YKBe1u/8PVUfJJ0i1SVw99v+rRPs7imXJyQncgoJvKlzIOY6Ko/lgY7fI3ifMyQPRMLyc614YDJfUFlOoXgfT7v0Km3rT6/+5rq9nzjVMpqqgbpHv8/pCLZXnaJ4RHUn1x596pV+6eN5woWlTgnc9b55VIvf6N9ercx0vd/4MwKvP1H65WgrS0vHSj5H3xOY3UDLfol5hDS/5EGH576fknycZaRepW396dXfXLdPJU5zsJqKgU6Pfj4hb5M82l5I8jSK36Q/Lr1rjqMOvuJHzN0LM50S+HXafkXNoTzF86rkUU3upd/4k8Drz5h+OZZW/CWKBxOXVcz6M0JP/fl68tSJ3/X4ixVPUZbTk5Vd5lhtW3+69TXnbVON05+Y9WOg16OfjfpTs5nSc5JH3j4BN/WGBsvWsuVvacsTuVMC9wufurnEw1Rvv2M/yWqw660z1U/83XkSeH0IYzh6UOP3MNVypir8KWGvcroaeM48prStPzF9zrHN7Ji7cVNgnIw9/+ZHuD9I/sokfPTzXLNHvB4x+OsPvyj8iuST7iNSt+L2pZbo0nBebfum5Pl2j6IpEBgXAh5MbFbTWQ8k/OVJWTwIWr/Szk+LW0jHV+oHWW1bfwbxJdt9Y+7UdXDqHv3Kly/eFhbPOT9YZ6So8xyf+1Gq22hkH7X7WcVWpxG4p1AurzkuUyhvQOk3/ozAa06o4tyt3/JG7aVa9FdRbwoa+nx2DMLvwHfTuj959ZSkS/mexyP12BIT11H2J7bfubWb7RHpsIsf/ZxUw5PiFa17BP6h4OB+seg//fW2sPhPhj8o+W27R+7V8oIq3h9UdhtZb6l2G0kTQftltew+lnWba/kuyQn8r4N25aLn8O+UnqnZRlU9gRNVbfZ+qvInbxOSR40b1jentobA/1HdntKF0suSvzJ5WNpR+mnQ/iYt+1NXf/f9mOTryTdOv9RssrStP036lo2t2Du1X6pUy5WqCP+wwNMn/jKkOs/nEbNvAOG3rlVbg6x3GoFvL6P2b+3AuPvgl6qHD3LAhPaNiX9C7g7NlbZxbFt/hgZ+zA0PHKcYA7GPWh8XTNvzlydl2UoLHm0cHdQ1vdgpgftG4kdW//WlP8dyOVTyTYc/5HmdR0z8C3T8dCHQNo5t608XdFlvGjhOMQY8+p4h3Sj9TvIjnhPjDjXotym2eQ7vBsmPgXtLw5jq2U92JyR/WuXHTC97Hj4sfjF6guRpHPfJn2atMWeTrNdi4p81oEjn28axbf2JxJhds4HjNLCB7JCn5TDxbyaebePYtv40Qzk9KyP9jDA9fHgEAQhAYBoJjPI78Gl0k0NDAAIQSI8ACTy9mOIRBCCQCYHqJ3v9us1cWb/EaA8BCECgJQRI4C0JxDR1g/g3A75tHNvWn2Yop2eFl5jpxRSPIACBXAgwB55LpPETAhBIjgAJPLmQ4hAEIJALARJ4LpHGTwhAIDkCJPDkQopDEIBALgRI4LlEGj8hAIHkCJDAkwspDkEAArkQIIHnEmn8hAAEkiNAAk8upDgEAQjkQoAEnkuk8RMCEEiOAAk8uZDiEAQgkAsBEngukcZPCEAgOQIk8ORCikMQgEAuBEjguUQaPyEAgeQIkMCTCykOQQACuRAggecSafyEAASSI0ACTy6kOAQBCORCgASeS6TxEwIQSI4ACTy5kOIQBCCQCwESeC6Rxk8IQCA5AiTw5EKKQxCAQC4ESOC5RBo/IQCB5AiQwJMLKQ5BAAK5ECCB5xJp/IQABJIjQAJPLqQ4BAEI5EKABJ5LpPETAhBIjgAJPLmQ4hAEIJALARJ4LpHGTwhAIDkCJPDkQopDEIBALgRI4LlEGj8hAIHkCJDAkwspDkEAArkQIIHnEmn8hAAEkiNAAk8upDgEAQjkQoAEnkuk8RMCEEiOAAk8uZDiEAQgkAsBEngukcZPCEAgOQIk8ORCOvYOLSQPjpNuLvQb/S7fAq9OVR9mS+u0oC/j2IW2xnWqLFtxPsw71d6zHwQiCPyj2vRKvv+qNtcHtvbV8v+Q1pSelS6SVpKulg6R3H7UZVMd8GNdDrqktn1T+gvpVelO6fPSbV32GedN0x3XpQTvRqmt58OK6tthks+bl6SnpC9L/y6FJbZdZbfmVj0ioeRLoFf8txSa5yUn6GVqML1LdT7Rw/IfWvlZULGAlheXLpd2nLPpSNbmLo59ln7rRuDefrF0juS+ev1w6T5pOSmm9OIYY6PJNr36M91xXUzOtvV8WFp9u0fyOezzwWU76RVp62LdP7Htgl0mLfaK06QdqhUDG6gaZH2sCMTE3yfti9JV0hI13p1UqfOF6cfTtpRd1JELpD2lugTui7Nav6DqnpCcyGNKDMcYO021ienPuMd1qqx6nQ9fkmHzW71ygF9p3dOCZYltVzEzx2pMnLrt/1pHKfkSiI2/R84vS57PXrSC651a97uYd0j3Si9Injrx8kSlftSJ3Yl4luQnhU4J/BRte0iqlnNVcXu1ssN6LMcOuzdeHdufpuN6oDzxjc/HN9M/k/5WelR6WvqpFJ4nbTwfzlAf/dRZLUepwn6tUWyIbVe1E67PZg68Gx62NUXgJzLkl1gnSWdLH5KcpF3KUckdWl5B8gh8Qtrpta2vl7I+qOq46BtEzHnteUk/1nYr+2mj5+Cvkd7doeF6qneSrxbXbSUtIj1T3ZjIetNxPVRcTpeuLX5v0e+t0kelr0qeqnJp8/ngWHsazQpvhH434rKmZJ9i2xW71f/wFUo9F2qbJ/B9mdxb8ou+cH6w6SOdL4OPRWiTHgf2y9d9pC/2aLestj9Z08Z1vog915lyaTquTm6eXvDIewvpM9LvpTJ598ty1OeDb/bzS9WvlTYoOu73OS6x7Yrm9T8xI5X6PamFQP8EjtUuC0tHSKdJ20t+S99k+TsZKy+Sbnb9YrVb+Zo2Hifd360R214j0HRcvy2bHnXPkHwz9tccUy2jPh98znxOOlraQfL0z27SRoUDzxW/se2K5vU/JPB6LtQOj8CRMu1phUMkL/tkb7J4BBdzXntOtVNZXxv+SvLjbq/ysBr4q4hqtn7wbgAAAwFJREFU8U3Ej9C+gHMoTcbV0w17SddJnsIqp9umwnHU54P76qdMn99+5+OEfZnkpzlPIfoLFZfYdkXz4fyEczzDOQJW20xgqvFfSk5dKK1S45znwOteTnWqr5pwO/erl95X3TFY/3st+yXaRCAnatv054GuL78Lz/klpjDMUZqMq+fDnfjM/APVA2m9redDTVdfq3IC93uXBTs1KOpj27k5LzF7wGRz8wRWkkmPTvx46aTYdGnikdlTPFZY9tTK8ZJfTN4QbDhDy7tKa0v+4xKXBSTPsU/HHx0VXRj5T5Nxfa967xvs5pI/4TxBWldyAuy3jPp88Mv6zSTPvYdlG634Zl9+oRLbrmKm2dWpjsCa7QXWpotAv/H31ISToKdQOpVOI6tO9Z3sNF3vBG5/qy+n/KLSL9j8dY1fXrl49Oi58+WK9V4//XLsZW/Q7f32p8m4+uZ3lfRnhROr6dfTDdWbYVvPB38h4yTtT09dfH54VH275BfeZYltF+wyabHfODVvYJJFKsaJQD8nkP96zy+n6uanPRr3S54Jyd+B+xMrL/vP0f3db7V+HtWNqng05eNXp1D8MrYs/lN6jxI93+rPIs+Ryu9932jVeakfjp2tNLeln/40Gdcd5cIDkueNzyzc8ajV6+7ThOTRuX/D86RN54Pfffh79bskvyj3J5F+YfkmKSyx7Sq7zbHaT5xq7QxsoNYqleNCIDb+u8ihg7s4dWKXbTlsiuU4Khax/SGuo4pI/XGYA6/nQm2DBPaXrb+RTpI8DVEtHr36UzHKeBEgruMVr9rext6pa3emcuwJ9Iq//0Of2/TSFmNPYjAHenEczHr/e/fqD3Htn+kw9pjtCfZBigM9qI1Bjs++00ugV/z9WVnM/OQjatcraUyvp8M9ei+Owz36ZOu9+kNcJzObjppGEvh0dJxjQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQGCsCPx/+fb6+OfLS8oAAAAASUVORK5CYII=)
Mean can be calculated as follows:
![](data:image/png;base64,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)
where, fi = frequency of the ith class
and, xi = midpoint of the ith class
![](data:image/png;base64,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)
= 12.4 (approx.)
Question 9.The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate
![](data:image/png;base64,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)
Answer:The above-given data can be represented in the form of a table as below:
![](data:image/png;base64,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)
The formula for mean is given by
![](data:image/png;base64,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)
where, a is the assumed mean, fi is the frequency ,
ui = ( xi - a) / h
![](data:image/png;base64,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)
= 69.43
Therefore, the mean literacy rate is 69.43 %.
A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per houseWhich method did you use for finding the mean, and why?
Answer:
The above given data can be represented in the form of table as below:
Mean can be calculated as follows:
where fi = frequency of ith class and
xi = mid value of ith class
= 8.1
We will use the direct method in this as the values of xi and fi are small.
You can also use assumed mean method, but it's not necessary as the values are very small and assumed mean method is better for large values.
Question 2.
Consider the following distribution of daily wages of 50 workers of a factoryFind the mean daily wages of the workers of the factory by using an appropriate method.
Answer:
The above given data can be represented in the form of table as below:
let a = 150 [assumed mean]
Now, mean of the deviation can be calculated as follows:
= -4.8
Mean can be calculated as follows:
x = d + a
x = -4.8 + 150
x = 145.20
Method 2:
Now we can also calculate mean by the formula:
Therefore, from the table,
∑fixi = 7260
∑fi = 50
Therefore,
Mean = 7260/50
Mean = 145.20
Question 3.
The following distribution shows the daily pocket allowance of children of a locality
The mean pocket allowance is Rs 18. Find the missing frequency f
Answer:
The above given data can be represented in the form of table as below:
We can find the value of f as follows:
18
18( 44 + f ) = 752 + 20f
792 + 18f = 752 + 20f
2f = 40
f = 20
Question 4.
Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method
Answer:
The above given data can be represented in the form of table as below:
Let the assumed mean for the given data be, a = 75.5
Now, mean of the deviation can be calculated as follows:
di = deviation from assumed mean of the ith class = xi - a
deviation
= 0.4
Mean can be calculated as follows:
=
= 0.4 + 75.5
= 75.9
Mean heartbeat for women = 75.9Question 5.
In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxesFind the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
Answer:
The above-given data can be represented in the form of a table as below:
Let a = 57
Now, the mean of the deviation can be calculated as follows:
where ,
fi = frequency of the ith class
di = xi - a
a = assumed mean of the data
= 0.1875
Mean can be calculated as follows:
=
= 0.1875 + 57
Mean = 57.1875
≈ 57.19
Hence, the mean of the given data is 57.19.
Question 6.
The table below shows the daily expenditure on food of 25 households in a localityFind the mean daily expenditure on food by a suitable method
Answer:
Solving by short-cut method:
The above given data can be represented in the form of table as below:
Formula of mean is given by
where, a = assumed mean
fi = frequency of the ith class
h = class width
= Rs. 211
So, the mean of the data is Rs. 211
Question 7.
To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:Find the mean concentration of SO2 in the air
Answer:
The above given data can be represented in the form of table as below:
Mean can be calculated as follows:
where fi = frequency of ith class
and xi = middle point of ith class
= 0.099 ppm
Therefore, Mean concentration of SO2 in the air is 0.099 ppmAssumed Mean method is not feasible for this question, because the values are too small and taking the steps will make the calculation tougher. Use Assumed mean or step deviation method when the values are larger and can be reduced with the help of steps.
Question 8.
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent
Answer:
The above given data can be represented in the form of table as below:
Mean can be calculated as follows:
and, xi = midpoint of the ith class
= 12.4 (approx.)
Question 9.
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate
Answer:
The above-given data can be represented in the form of a table as below:
The formula for mean is given by
where, a is the assumed mean, fi is the frequency ,
ui = ( xi - a) / h
= 69.43
Therefore, the mean literacy rate is 69.43 %.
Exercise 14.2
Question 1.The following table shows the ages of the patients admitted in a hospital during a year:
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Answer:As per the question:
Modal class = 35 -45
l = 35
h = 10
f1 = 23
f0 = 21
f2 = 14
![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 36.8
The above given data can be represented in the form of table as below:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 35.37
The mode of the data shows that maximum number of patients in the age group of 36.8, whereas the average age of all the patients is 35.37.
Question 2.The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Determine the modal lifetimes of the components
Answer:As per the question:
Modal class = 60-80
l = 60
h = 20
f1 = 61
f0 = 52
f2 = 38
![](data:image/png;base64,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)
![](data:image/gif;base64,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)
![](data:image/gif;base64,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)
Or Mode = 60 + 5.625
or Mode = 65.62
Thus, the modal lifetime of 225 electrical components is 65.62 hours
Question 3.The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:
![](data:image/png;base64,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)
Answer:As per the question:
Modal class = 1500-2000
l = 1500
h = 500
f1 = 40
f0 = 24
f2 = 33
Formula for calculating mode is
![](data:image/png;base64,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)
where,
l = lower limit of modal class
f1 = frequency of the modal class
f0 = frequency of the class before modal class
f2 = frequency of the class after modal class
h = width of modal class
Therefore,
Mode ![](data:image/png;base64,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)
Mode ![](data:image/png;base64,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)
= 1500 + 347.82
= 1847.82
Mode of the data is Rs.1847.82
The above given data can be represented in the form of table as below:
![](data:image/png;base64,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)
Hence, the mean can be calculated as below:
![](data:image/png;base64,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)
where a = assumed mean
fi = frequency of the ith class
h is the class width
![](data:image/png;base64,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)
Mean ![](data:image/png;base64,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)
Mean = 2750 -87.5
Mean = Rs. 2662.50
Question 4.The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures
![](data:image/png;base64,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)
Answer:As per the question:
Modal class = 30-35
l = 30
h = 5
f1 = 10
f0 = 9
f2 = 3
![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 30.625
![](data:image/png;base64,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)
Hence, the mean can be calculated as below:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 32.5 -![](data:image/png;base64,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)
= 29.22
Question 5.The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches
![](data:image/png;base64,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)
Find the mode of the data
Answer:As per the question:
Modal class = 4000-5000
l = 4000
h = 1000
f1 = 18
f0 = 4
f2 = 9
![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 4608.70s
Question 6.A student noted the number of cars passing through a spot on a road for 100periods each of 3 minutes and summarized it in the table given below. Find the mode of the data:
![](data:image/png;base64,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)
Answer:For finding the mode, first we find the modal class i.e. class with maximum frequency
In the given data, Modal class is 40 - 50
and then we use the following formula for finding the mode
![](data:image/png;base64,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)
Where
l, lower limit of modal class = 40
h, width of modal class = 10
f1, frequency of modal class = 20
f0, frequency of class preceding modal class = 12
f2, frequency of class exceeding modal class = 11
Putting the values, we get
= ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 44.70
The following table shows the ages of the patients admitted in a hospital during a year:Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Answer:
As per the question:
Modal class = 35 -45
l = 35
h = 10
f1 = 23
f0 = 21
f2 = 14
=
= 36.8
The above given data can be represented in the form of table as below:
= 35.37
The mode of the data shows that maximum number of patients in the age group of 36.8, whereas the average age of all the patients is 35.37.
Question 2.
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:Determine the modal lifetimes of the components
Answer:
As per the question:
Modal class = 60-80
l = 60
h = 20
f1 = 61
f0 = 52
f2 = 38
Or Mode = 60 + 5.625
or Mode = 65.62
Thus, the modal lifetime of 225 electrical components is 65.62 hours
Question 3.
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:
Answer:
As per the question:
Modal class = 1500-2000
l = 1500
h = 500
f1 = 40
f0 = 24
f2 = 33
Formula for calculating mode is
where,
l = lower limit of modal class
f1 = frequency of the modal class
f0 = frequency of the class before modal class
f2 = frequency of the class after modal class
h = width of modal class
Therefore,
Mode
Mode
= 1847.82
Mode of the data is Rs.1847.82The above given data can be represented in the form of table as below:
Hence, the mean can be calculated as below:
where a = assumed mean
fi = frequency of the ith class
h is the class width
Mean
Mean = 2750 -87.5
Mean = Rs. 2662.50
Question 4.
The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures
Answer:
As per the question:
Modal class = 30-35
l = 30
h = 5
f1 = 10
f0 = 9
f2 = 3
=
= 30.625
Hence, the mean can be calculated as below:
= 32.5 -
= 29.22
Question 5.
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches
Find the mode of the data
Answer:
As per the question:
Modal class = 4000-5000
l = 4000
h = 1000
f1 = 18
f0 = 4
f2 = 9
=
= 4608.70s
Question 6.
A student noted the number of cars passing through a spot on a road for 100periods each of 3 minutes and summarized it in the table given below. Find the mode of the data:
Answer:
For finding the mode, first we find the modal class i.e. class with maximum frequency
In the given data, Modal class is 40 - 50
and then we use the following formula for finding the mode
Where
l, lower limit of modal class = 40
h, width of modal class = 10
f1, frequency of modal class = 20
f0, frequency of class preceding modal class = 12
f2, frequency of class exceeding modal class = 11
Putting the values, we get
=
= 44.70
Exercise 14.3
Question 1.The following frequency distribution gives the monthly consumption of electricity of68 consumers of a locality. Find the median, mean and mode of the data and compare them
![](data:image/png;base64,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)
Answer:The cumulative frequency of the table can be represented as:
![](data:image/png;base64,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)
N= 68
![](data:image/png;base64,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)
where,
l = lower limit of the median group
n = total frequency
c.f = cumulative frequency of the group before median group
f = frequency of median group
W = Group Width
![](data:image/png;base64,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)
Hence,
Median class = 125 - 145
Cumulative frequency = 42
Lower limit, l = 125
cf = 22
f = 20
h = 20
Hence,
Median can be calculated as:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 125 + 12
= 137
Now, mode can be calculated as:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAO8AAAAwCAMAAADOxt1xAAAAAXNSR0IArs4c6QAAAK5QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGZmAGaQAGa2OgAAOgA6OjoAOjpmOjqQOmZmOmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZmaQZma2ZpCQZpC2ZpDbZrbbZrb/kDoAkGY6kGZmkJBmkLbbkNv/tmYAtmY6tpA6ttvbttv/tv+2tv/btv//25A625Bm27Zm27aQ2//b2////7Zm/9uQ/9u2/9vb//+2///b6AGx6gAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAEeElEQVRoQ+1a61bTQBDOFos0CoJURUFJUYMiLsUmNXn/F3Nm9pJd2uwOJSH1nOYHJ4Xp3L7ZueyQJLtn54H+PbCcCTFhieFTstgNQ1RNJwt5irLvz74HVTCUNTjo6GYYbZ8uVe79JibLD0K/tfHUlHW2v1hmEdqn67Uph/oqCEUF2iPr8vjGWN4iyVAWIwiDQly2K1SebKpsB9+7plhtxUzAoyxOwvZKQ5kjtBDbAa5hmR0YFTAokorK1AIVwVdTYjijvdpJayXXWQD9Xs0tX4VzUELRqZ6IvZpS2at+tj7FUMc7j1Ua2ejt2Jtj8NLjuENRsuyts+Ap6g3iKLx11jgkjK+hNPEcduRAADvorfdpNW2ACNtrKXW+CgPo8u0NzRXGcalOuoqcX0spsRQF6xHqkQfPd08ucJJRiwTZnM/EfV8lt3/F1BxJV/DtuOgebI5kXBeGepZCdnrxuVWLBjDoxMRxKDsjjzJ9/owVR8FNV2F/8ykVn8fSY0lnjS15e9sbboIUCtzGgE+p/WbjwVGwEFrZMh192SDbRBwZjynKtayHT2nstaydHkCqel5n66DkudQr7X4jF0ui1XTMHOv4lNZ5Nr+5Cso31O8VL9edbl7N9rzyOHtZwG5K1OTzd7ZjrbNzPEDV2VdVFuavxUhlyHkqxjMqYSVkw7cBoZ5XfHvDBWZTQ5jfs8FV7N3OxJjOTfX+F/Y38lQVDjn6lsxpsJRwnAuK8Tm8BcuK10Jto73y4OpGZ5Ji/w801uXhLXWx9EvKqfRGgUo/GntX+3g/72+jvTnEbjWlOiAnqG5+qfq+ZpCmN+pQIKv/nYdKd9MyrvrCxLMddp7phSLexDMBqLotRCPfnx8t6G8KKYRWvSGqkLjF6PBn4Mj4E9AW4ksKqgitIHPJMdwK0keFFHqC3sjohw3/Ggy9CrqF9lI+VSW4gASMWcmMlGQl/I6svBN0mtEHd4E7Cn8O2cJ6hApq2PAVzS9Tqjzwsb7GQAdoF/Pz6Wn5qc4OFvWPwHUfkC4/Nr379tmrw/Ty/iKBGz+CGRplxDKpoNIeUsNTpFCGc3GywFvh0UVoFpHC7ZF8e1v6Sfaa4EmEugHVZxNt6f2x80J9D64c61PBXiiw9wma0JMyxMBv58FcfEmWU53Z2AsF9j5BE3pSHj8PdgC/MY3SI93DwKnhLhTY+wRD6EoZZN73L1VUA2DXBLrCt3qVvU9wOTZtxiD3OV751gmEvVBg7xO8Cc3MyYPc1yXOMGG0Yi8U2PsEF0ojJX4z2sFxXWXRdJt26mYvFDThg33Cms2Dw9FK4c3u3dts7lJsumQvFNj7BIejI+X5byfJeQbgfKLrPXuhwN4nOBytlKHgxZETzaaQK9Dn7IUCe5/QcLRShtuHJgnungnlOkd72QsF9j7BEjZSBtx3J/j/DDrJ0KWC2evEFgrsfYJz0Uz3CXBhM+T/M/g5kN3mdU/YfTJmcOTdaT8450G+bI4M7bonYa8Juifs3pgoR/aaoHvCqG47gp0H/isP/AMyWJ15rWdG8wAAAABJRU5ErkJggg==)
where,
l = lower limit of the modal class
f1 = absolute frequency of the modal class
f0 = absolute frequency of the class before modal class
f2 = absolute frequency of the class after modal class
h = class width
Modal class = 125-145
l = 125
h = 20
f1 = 20
f0 = 13
f2 = 14
![](data:image/png;base64,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)
= ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAAAjCAMAAADc1QqeAAAAAXNSR0IArs4c6QAAAKVQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOgA6OjoAOjo6OjpmOjqQOmZmOmaQOma2OpDbZgAAZgA6ZjoAZjo6ZjpmZjqQZpDbZra2ZrbbZrb/kDoAkDo6kGY6kGZmkGaQkLbbkNv/tmYAtmY6tmZmtrbbttv/tv//25A625Bm27Zm27aQ27a229uQ29u22////7Zm/9uQ/9u2//+2///bYeAN1QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADD0lEQVRYR+1Yi3LTMBC00gIxpZDgJjxSJwVcaJQGiB/6/0/j7vS0k3MzQc4wQzXTGecsndfr25O2SfI/jPruIfZrltNd7JSUr3rzLX5eeb2OnzRpslsm6++ZEFO4p1Zi9Kk1R92P8ffmqnvDz5IvB2C2oMceGM3N1+RxBJzL8a56HXK/eTfDRWppJhxarfL30Ylto+imx7tIfPfJ0r4gv7y8iF4FLK0EWwI5zQ1w2plmsdarBcdefGKrlKtWxPCI5WqxNpmggQsM1kJcslgTGZvY3oQSofbXwJZ/134a2GLesF2p6JFrCVBLYBHmdMpSFa9A5Uh4D6Am61fXdk6o1BbazQu8rFL8bKjmw1rPuC6AfJov3szEqPWpJd4AIJuU71kAItc8eDDY/cRbvfHUM6FrpBCLpM7wev+9VR5UaJXG7yyOlKILBtHXOUWryYMpP1KtRBU8gbUkpQw0pP6cHkyJAffIUCoU/AewEhMEhohubNmFWOnOE1jNqw9DLH1YMxCMLuAmM3IOsGqUVXqdapXZ0arXQbEGBUZgNFYruaD/mm1DLUFlue0Dhe7mvjNYrC4e50Lz4rFqMBxWlQfNqKX2Fq/n0BaCJDC2BgwyVwPFODiSuXLWKwLpnwerBWO0ZdqkxUqnxxKCBd7geT1xHzxOi6a/Jg4Mic33LF2ZtCUqxFlAwLRf84Az7gVa8B4MtgAjLbXCDfUSjvBGQ4C1nkNoEvqpFtZWWR/H1tGzbG4PBjdWMTnZL/SdXY5GdXhi9P2btj0Y1lu5x7Jmi/NaJu63H5v6L1/ZLzcHN+et7rFJNB93rNnivJaJowu70o0m/ifzfpM00Mxv4U9zzZgtzmuZuFzopsj745OJ9inRWyHYzwCXBmO2OK+l4+XUiHcI021zkrdCNu2RNjRbnNfaizcf1ipffNkNQSvWFfGhvVXAK2u2XA10vBbFyTIIbKODHOLVEv75ZL0V1irWrAvsmS3Oa+k4DKwByHlyVfYv/Ll23uo7ygr7AGe2OK9l40nyK71Y1z8Ggvqc9pmB8zPwBxP9ZUBmAKUFAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
= 125 + 10.76
= 135.76
Now, mean of the following data can be calculated as:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAa8AAAIKCAYAAACUUsDBAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu29CbgtRXm2HX5BFFHBCVSUURRFHFDjQBS+KPr7AUERnCOiJA444zzkOA8BJcQ4BIcTBUeMKIokGj0gKqIgAjIoypFJUVSUQVD0fM8NXbGo02t1de3eu3qt/bzX9bC6q2t4++7qfquqex/+6q9sJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACNQmsk9H4mow8zmICJmACJmACoyLg4DWqyzFaZ9xPhrk0s8pxFvweg49j8GGYnlq3ljX/X9323boJmIAJmIAJ9Cfg4NWfmUuYgAmYgAlUJuDgVfkCuHkTMAETMIH+BBy8+jNzCRMwARMwgcoEHLwqXwA3bwImYAIm0J+Ag1d/Zi5hAiZgAiZQmYCDV+UL4OZNwARMwAT6E3Dw6s/MJUzABEzABCoTcPCqfAHcvAmYgAmYQH8CDl79mbmECZiACZhAZQIOXpUvgJs3ARMwARPoT8DBqz8zlzABEzABE6hMwMGr8gVw8yZgAiZgAv0JOHj1Z+YSJmACJmAClQk4eFW+AG7eBEzABEygPwEHr/7MXMIETMAETKAyAQevyhfAzZuACZiACfQn4ODVn5lLmIAJmIAJVCbg4FX5Arh5EzABEzCB/gQcvPozcwkTMAETMIHKBBy8Kl8AN28CJmACJtCfgINXf2YuYQImYAImUJmAg1flC+DmTcAETMAE+hNw8OrPzCVMwARMwAQqE3DwqnwB3LwJmIAJmEB/Ag5e/Zm5hAmYgAmYQGUCDl6VL4CbNwETMAET6E/Awas/M5cwARMwAROoTMDBq/IFcPMmYAImYAL9CTh49WfmEiZgAiZgApUJOHhVvgBu3gRMwARMoD8BB6/+zFzCBEzABEygMgEHr8oXwM2bgAmYgAn0J+Dg1Z+ZS5iACZiACVQm4OBV+QK4eRMwARMwgf4EHLz6M3MJEzABEzCBygQcvCpfADdvAiZgAibQn0Ct4HWZXF0Tad3+ri96iTephd9Jr130lsbVwAuTawOHIW1bVfZZ6RIJvj+T3i3tLv1a+oJ0I8m2cAJj78O76RTj58AnolPeSts/ks6W7rRwFItWw2IxXuz7ZLH8XjTQJRXTuXJtO2V8j0SHu1K6Rvqx9HHpSdIGUrBV2ggdd4zB6+rGv99EPvfdvJUKrGi0Z9/CFfPvrLbDtckNXjn9ZD3Ve25T90n6Zf/J0gnSsVGb99L2crUcjrlshujDuW2V+r1ZdN3j4PWKKP0FuU505Cv1cVq1fRnn+LAU90lfv6cxqHEsh+N1D7Ece44y/UEi/79LW0o3le4nfa1J/5B+g61q0sg/xuD1qca/j0Q+993cJjrHlX0LV8y/c+T3kMHrnlG9BzXnx41KX3luc4yBTzzIabItm5/c+y0HyBB9OKcd8pT6PSl43V91MgC+XNoh14mOfKU+Tqu2L+McH5biPunr9zQGNY7lcMzqlHvI+z9LVPjfLWeyodLOk1ZGx1Y1+ccavNaRf3eU+C01B68bkttZu1xv1BYUN1H6jUthz0m5rJsy81yH6MOZTWU9J9rqmhS8yHtL6RZthQrThmQbXOjLOMeHnVX5Yt8nff0uRL5oxXI4ZnXKsyLYe01w96VKD6NtsqyKysQzr7cq/VTpAun3Eu9EPi3dQ4rtvtphqelXEiO0n0snSm+LMuXkiesM25PeyR2lDKFT8buPxFIH7254h3OoFB6+T0jyhnKXKj0Y73ZeLJ0uXSH9ViL4P/B/c1z/kI/b5KH/IukiKU4P26uasneLjrNEcDvpwxLvES6WSGNJ918kljdj21k7ob62IJNkv26X/NPsNU2e1Of3KT3l+vBpFc35sS6O9POU4fZKo1+FdJaoJ/XhxcLX5Tft8sDkOUC/45UC9/njpOB3WDZ8YZTGsdw+qKxTrcvHDyTtcg9jYamb8vH9W8K4y4eS+yT2j/o3leJBAWlHXn8q1/23xO+o+Cg2uzhe52RXprs0eciHWALKsVVRuTh4AfapTQXr6/f9TT7ePd2+Sb+5fn/RpL9cv3x4Ql46OeWxnDxN1tafVUoN5xT8450eS58hnZtvb4mPOkIaN16wbaL0lVF62Dy8OX6+fm8tPaLZJ7CEAHYfbROQ4zaP1/7zJIIe/oQHGoE+/tjhYdr/voTdW4INDzrsttJ3JOr9lhTPMHdu0jmW++Agb5dNq3dF1KaD13SSod/AnIcd9mCJQSRL9cFWaSP0m/gei7IMtplz/V8f+fMf2uY9+MlRWgheOLVzlJ7bByk3zXJ8PCBqNwQv6jy7SY+DF+mrovw5jHN82DmqMz33FdGx+D4hOIVrTfDC+A1pcfDi2KroWI7f11U4IlszxNeGabBKL27f8+Ud2UebQozOwnuyjbQdOhMPYh6+GGviLFmS9w0SX7JhOXmarNk/PBwINMF4iDArfLPE+z7s0c1v189fKwMfK2BflphB8ktQJhCHGeT3tH0smRpjaW1X6V+l50v49LHmGJ2VY8H+XhvhnR35WEs/ozn4S/2GDk2ghJdtNgjwAQMzfYyB047SYdL+EqsVYzQGkwc2jnHPPkOi33Lv2EygN4EhglfvRjsKsLzF59IsG14tMcsIdudmgwdvsH/TBkth/DL6fHpzICfPX2op2zqnKUbw5IbEeE+WY8yygsUBP/j9NzrIDZ8agQwu2Nekf5ZCgCLtadcfum4E/hjpiGaf4L6LxCyLAMl+PKoLbJvs/hkxAQY6z238Y5mae+Sr0gkj9pkl/PAhDsuG1za+MqiymUBvAkMEr/OSVm/T24u/FLi7Nr8i/V/pRIm6mKEEW6/ZOFu/vBsLU/BttP0ciYc5My+WwHLyNNUV/7SNcnP/Rinm9BJ5QEBCd5X+JHFum7d4xhJhaixfntYk/p1+edG9p/RtKeTfV9ss1TDLeru0ocT7h2CBbZTkzRET+Ix8+0bjH0Gh7UOpMbm/ceTMVdF2GPSNyVf7MgMEhghezHrCDIRT5h1Nmz1TiTykpxkP3rBmz4cEV0zJ/CodY7bAu59jJGY/GA/tnZvtnDxN1iX/YfQcjHO9SSOCCGvQKCzx/SXn9YEt3g/bYfZFPXxIEi8ZkueJTUaWNw+R/hgK+ncmCXCfbSWFGQwfCzEgGavxB+jBmC0Go7+OyRg4thlL+WO2Nr/H7vOCeA4RvHDgFZEX/9Di0aZK4+ZiRjDN4psvvENq+1T2fqqEkeeF0rslZmpxYOR9WE6eab4McSycA3UF1g9qfGOWGGzrpDGW+z6dpHXtsjwYOjDvRJixHhUVCmzJE/K1se1qx8frE2Bg80HpWdJBjTtb6De8J63v4doenKKkMOO6U3S4bXVh7dJLl8JHT8Fu1mwQbHnXPGZr83uuXwUMFbx4SPLAZBT4SOn90hYSoyoeol+QWNvm/cw0C8sg5Hm8RLALa/txOerlAb+fxDlwM9+lyXClfr8u5eRpiizaz8WqOb5h8fWdEuv/vJ/4z6blR+l352abJVCW9Y5r9nN/fq6MYenoHtpm+TRe1gxsw7swPqV9Um7lzjcqAiz3strxeen1zTYOsnT+N6Py9C/OsIoSAi2BgMBLEHtR5C/3cfy1ZI1T4dnBMwTj4yfeO+Nj7uuApuiS/xwbtchgfmOp7dm55I7VbDC8V8rxgYfm+yRuLB7arGefLr1Oimddl2mfemMxU8K4GXkQU/5/pKdJcT4e+ltIn5Ro55cSefklSD5AwraQuvI0Wdf6meQfQTr1m8DDBxdpOsET21c6TyKwXyTxhVWYzrNE+ErpTOkaidHTSdK+UrAXaiOtm31u9NQI+CHvw5KD8IfHbyWWcHj/9cYoP+XeJLW1B9cuo/w0a6uXMgTRNq4HTqtsjo91caQfhWsM0w9E+yH9SKVN6sOLha7Lb9pdR3qZdJ7EqgSvHFj2D37ze4bU1ldy+qCKTrUcH6mAh/8PJN5BnyvtK50txX7Sb0sYd/nQdu6UyblPeE1ygYTf35Z4DRP7zLlgJX43RUfz08XxOkezMo3mlOxILQLuJ8OQn1WOs+D3GHwcgw/D9NS6tQzyd151T8Gtm4AJmIAJLDsCQ73zWnbgfMImYAImYAL1CDh41WPvlk3ABEzABAoJ8AK1y7xG20XIx03ABEzABJaUgGdeS4rbjZmACZiACQxBwMFrCIquwwRMwARMYHQEvGw4uksySofcT4a5LLPKcRb8HoOPY/BhmJ5atxZ/Kl+Xv1s3ARMwARMoIeBlwxJqLmMCJmACJlCVgINXVfxu3ARMwARMoISAg1cJNZcxARMwAROoSsDBqyp+N24CJmACJlBCwMGrhJrLmIAJmIAJVCXg4FUVvxs3ARMwARMoIeDgVULNZUzABEzABKoScPCqit+Nm4AJmIAJlBBw8Cqh5jImYAImYAJVCTh4VcXvxk3ABEzABEoIOHiVUHMZEzABEzCBqgQcvKrid+MmYAImYAIlBBy8Sqi5jAmYgAmYQFUCDl5V8btxEzABEzCBEgIOXiXUXMYETMAETKAqAQevqvjduAmYgAmYQAkBB68Sai5jAiZgAiZQlYCDV1X8btwETMAETKCEgINXCTWXMQETMAETqErAwasqfjduAiZgAiZQQsDBq4Say5iACZiACVQl4OBVFb8bNwETMAETKCHg4FVCzWVMwARMwASqEnDwqorfjZuACZiACZQQcPAqoeYyJmACJmACVQk4eFXF78ZNwARMwARKCDh4lVBzGRMwARMwgaoEHLyq4nfjJmACJmACJQQcvEqouYwJmIAJmEBVAg5eVfG7cRMwARMwgRICDl4l1FzGBEzABEygKgEHr6r43bgJmIAJmEAJAQevEmouYwImYAImUJWAg1dV/G7cBEzABEyghICDVwk1lzEBEzABE6hKwMGrKv5l3/gnRGCNtP2yJ2EAJpBHYANle39z32yTV2T55uLhYjOBLgJ9+8mDVSFlHLxuSDaH4+ERu8Aw/uUBh202Jd9GN2x2wXs5fk9rZEcd/IJ0inSOdJb0+pYCeyjtZOk06UzpxdI6Lfnakkp93FCVvVI6QaLtH0inSv/Y1khHWqkPVHufpu3v6Zd62oLXTZS+n/R1CYb4+k1pL2meLItjViZRubV0iLRaulr6ufRRaSupzXZVIp31lxL5L5GOk/ZPMl+o/bYblLTdkrwlu7s37f5Wv1dKdM5/kNIbgvN7p8SN9XvpcumH0qHSnaXYnqmdST5/N8k7L7u5/YTzhe2J0tENJ8+8/tILcjgSvN4hPSXRx7XPgyoYwev7Lfkot16Ub4jNHL8ntbOzDvxMemCU4SXaPiMpwDPjD9IuTfoW+uW58eok36TdUh/pn9dKPCuCEQyoj2dFHyv1gTZYqXiodIBEPW3Ba0+l/1F6FAUae4Z+yf/cKG3WN7M45mRiFHd2A4iHOSM/QFGW4HSXhNRLm2Or9fsQiRtpW4lR11FJ3sUMXs9p/Pi1fu8hbSIxWsHvf4n8uJG2GemRfpW0tXQbaXWTxo23sRTMwSuC0bL5JKV9VQqcHLz+AinnfnursnPfpMbA6O+jRILXsWmmRdrP8butae6tH0svTA4yg3hEkkYgPjJJY0bEPXmrJL1tt9THLVUZS3WpnauEY9LEjv1SH6gWVlhX8EqfoZQ5XfpRU34efrI45mRiRkI+FEYDgKZTkfaliNYO2mYUQ3o8kiHLPaW9o7xsErzuL/GAS3XzJG+fXQJV8I+RbLBXaSOcy183iQ+I0piZBTsiSn9ilM5D+cNS6i/7BL55tJx+wnnzUDpPYgnEwWvtnpDLMS3JPfKrhm84NgvBiwDFOU9aoQnnwnOFfAw4Y+MeJZ3ZZJeVsm2rl9UDZn0faTs4JW0IH6YFL75jWLel/f9S2qUt6bOatGaoDzaeGhG4oNn+k34vbrYfqd9Nm22WBcMIgmXC2BgdfDpJY5eZGwGSZSYCDWu6zJZYuis1guRNm8LBZ3bPjyp8WrPNcmKXpXlgy8OZAPd56Z+l7SRGmcvZWA7iurNubxuOwLNU1YclluBju6N2WE78jsSS90elu98wS9U93n3+WbqtxCyG91i8T3qdxIpMMAa92Hl/SbrBfjieHF6U3Vuq1oMlljDfuCgtlFcKSyYHqfEMXZUmzvt+10hhCwEgD7omgRFeLHLs0c0xlgZDXpYKCFhXSExpmfWEwNZkv27m9T4J+A+XfipR/hfSXUOmgt+VTT3UxdJDsL+L0k+K0rnpyctsjWWEW0vnNWk8jOMbjaBF4Oac8fGgJh/lWVadR+PcuowBDO9C79Bk9MxrbWI5HNNSLNtzD3GPxHZ77XB/7dgk3kK/zBTIe68b5Fz4TonftPoBiYHuTyRm4xj+0k/igSzvlmgjXS5lJk/6BynYYaU+xtUyCMBfljDv19Fe2+EhfJg282pr8xFKZFDDys+8WBbHrkwsV5AHpbMPHv7h2L4NNaauIY2RFjcUU/6Q9q9NvvBz72T/8VHeryXH+ux+MarnpVFBAk7wZXWUTnB6l0TH5Xj4ZVTLSCw2RpHhAR3Sw7s0yj4syT8Pu5xXl/GAWRFlcvBam1gOx7TUC5Tw5TRxwv4GSmd58egJx0uTu/xeVxUTZINu1jR0uH4pe2DSMPck6SHILkXwmuRj4tp1S9/7S7+XnpEe7Ngv5RRX2yd4MchmtYd7bZ6si+N159qVqW/wYtRHnWiviGYIakx5efhPMkbvoTxT5PCiltHaTommLYv2CV7c8Cc27f5QvwQmAhYzLnxhOYZR7jRj9hj8jj8GmVZmlo519RMeQizJwjKYg9faV7iL49olrv/I6LFtByak0W/5kGpI6/L7UWos9H9+w4ck723SH544wz75wkOX82OfemK7XZP+jiS9bbfUx7a6SPuwxEoMATnXhvAhN3htKKe+JbGiNW+2hpHGQi2+CdL64qW0XzQN/Va/YdTF0kAwthklsGzIhxt8jdZmvOsKxktTghlpn5S2jo6xyQcdBMs2m+R3m8//qArCxxuf1XZ4l3e4th8q8aUkHeR5bQ01abHfXYFuSjUze4ilC0asvNMIxs2F8TKZz3tfLnEdbfkEdlFWVi94r5oaAyxmB7ybiY1Vg3R5Pi079D6Dv7+JKv1Ns31285sONPERC+l87Ytt1fyGH5bwsXA8Odxrd5KPN1Ytbe+SeDe3r8S7bILEEDbJh751c299SWKQ/pa+hWchf9phSnzmHRSzJoyLjIKFhxOjDd51YWf879Eb3kDxzURHwfjKb9coP5vpKCcOCknWqbvfjY7GXy0GnzkcviwkmAYLNx37l0XpO0TbL9N2zIFDsd+lPkdNzNzmQfKYUfIWkV7RnAUf9JDuwNUA6fHzbOXlvVHbS3pm+H+f1LW+9reXwv3Yo6kFZeVeOSHSD5ravqBfng/x/cMhfMR4x4SdK50uEaxjY58AzYN6oTbJx9ep4tBX4zbu1OywDDuUTfKhT/1MDnglw6DwTVFBZorLauDcNc2FzSES+VAYGREYr2zSgBiMZYCQd+8mkRkUD3TSr5HCg/4AbX8uFGx+d2vykZeXpqXGjI1OTz0fiSqhkwb/HtSkvzVKe3uU9x+i9E9F6ZdqO7x8DskEy1DvY6K887LJufW10BfCg6pv+XnM34dj6MObTQCxUuksc2/eHGeASEBjlsuKwZDWx++03fco4QIpzKLw9zzp00lGBrI8Hx7WpJOPFZtXJ/km7Zb6SAC4RArv36ifD0culwgSfazUh7gNnovUs01LwwSu4yRmcHxLEIsBwBYtZWYxKYtjTqaNdfZ8LUjegyVGd+HBxKjkrhEdbqBVTV6WOlhKIohRFr1eCsZFYkT5OGldiWVBlgfId7W00BuQZT7qItjgI8uWof53azvY5k0e8p4jbSJtKNFJSCMIPlAKRn1fkRjlwOL5Ujg/pvEE63kzzi/XuPFXS3Ci3EXNfvw+LLeuecvXh+NrdPJHTQHAigH9mBkL/ZoAwUBypyllSg/18Tttg3v7nyQ+LDhL4lnyRildvaDcHhKzRs6HvC+Rcu+nUh957vBOjcEy7cLzVOml0k2lPlbqA23wkchqiWcq9VzY7G/Lwcb2a45xvE1bRHlneTOLY1YmUbiNdKh0vkRgYaRyhMSFT40LzlSczscLT2ZoJ0lPTzKylkyddBTqY8TIL7OceBSUFOu1+3fKfbzEKAo/vic9S0pviC2U9n6J0QujP86Rh8HHpNSX5yjtaOmnEu/cOEfO4UCJG3UeLbefzOO5D3lOs8pxFvweg49j8GHI/lqrriyOWZlqnYHbHQ0B95NhLsWscpwFv8fg4xh8GKan1q1lsH9ho+5puHUTMAETMIFlRWCIrw2XFTCfrAmYgAmYQH0CDl71r4E9MAETMAET6Ekg/SihrbjXaNuoOM0ETMAETGDUBBy8Rn15RuOc+8kwl2JWOc6C32PwcQw+DNNT69biDzbq8nfrJmACJmACJQT8zquEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxu3ETMAETMIESAg5eJdRcxgRMwARMoCoBB6+q+N24CZiACZhACQEHrxJqLmMCJmACJlCVgINXVfxu3ARMwARMoISAg1cJNZcxARMwAROoSsDBqyp+N24CJmACJlBCwMGrhJrLmIAJmIAJVCXg4FUVvxs3ARMwARMoIeDgVULNZUzABEzABKoScPCqit+Nm4AJmIAJlBBw8Cqh5jImYAImYAJVCTh4VcXvxk3ABEzABEoIOHiVUHMZEzABEzCBqgQcvKrid+MmYAImYAIlBBy8Sqi5jAmYgAmYQFUCDl5V8btxEzABEzCBEgIOXiXUXMYETMAETKAqAQevqvjduAmYgAmYQAkBB68Sai5jAiZgAiZQlYCDV1X8btwETMAETKCEgINXCTWXMQETMAETqErAwasqfjduAiZgAiZQQsDBq4Say5iACZiACVQl4OBVFb8bNwETMAETKCHg4FVCzWVMwARMwASqEnDwqorfjZuACSQEnqX9NdIBJtNKYAOlvr9htE1rjmWS6OC1TC70SE5zs+am4+GUaqOR+DgrbuwkR/9H+rG0WvqSdPfE+VnjfQv5/4bkHNLdPZRwsnSadKb0YmmdNNPA+5uovtdKp0pnSGdJn5fuM3A7XdXR3nekB3Rl1PEanDLcWtosPGRy7NbKdIi0Wrpa+rn0UWmrlsK7K+3L0q+ka6SfSaukJ7bkvVBp6YMu7O/Wkn9aEjc37YTyT5mQuc+5DOnfBHdmIjmnn/Aw/b4E91TrzcRZLr6TORwfIjf+IL28cYeH97ukS6U7RS4uJe8cv7vovUMZjpaoq23mtavSOe9dmoq20O8l0qub/a6fUh95rv1UCs8y+uqHJJ5zO3Y1mhwv9YFqPiE9VIIN9UyaeS2UU89TqpI9i2NOJkbNZzdAD9UvU9vnNvu/1O9dotPbp0mn3vdIdISXRGmvjPKyOURw4ObmxuDmDn7Sflvw6nMuQ/mXnPJM7ub0Ex6mx87k2S2d0zkcGfidL8UrJzfT/u+k90WuLiXvHL+nUdxSBy+W7i9RV1vwYuBzZFIJz4urpFsl6W27pT4SvF6YVMgAl/oOa2toSlqpD1R5o6beruC1UE5T3B/NoSyOOZneqVMiHwqjAUDTqUhjSSPYMU0a6czAMIJbKH9OkxZ+CF506O1bdPMk76Td9XWAWeCmEjd3aKstePU5F9obwr9Jfs9Sek4/WcqH6Syxi33N4fhrFWgbBHxP6QSAYEvJO8fvadfk0zr4AonnB3WlwSukPyep5K+b/G33ctpeqY/rqqK2VyzMvNJgmraZ7pf6ENczLXgNwSn1eYz7a9ouSImjT40KXdBs/0m/4UZ6pLYJHNiVze+kn7bjBDeCCksKh0v7SdzAl0+qJElnaRIfWcrssj7nEupaqH9dPs3T8TvqZD4usXbPQIVBRfquZp7OdzHOhXskjMLj+v+sndtLvDsKNgu8d5Kz95JYiZlkOzQHzksyhP1wfFL5haRfq8KwjW1z7TAoXpWk196tyWlJz32I4LWFPL5N4zXr0QSKYCG4sGx33ybx7fr9TbNNUGNUs1uzz0hmRbMd/7DOyzLk/tLG0oskXp7etSXvQpK2UOE+5xLaWir/FnJuYyjLgAY7SGI2HZaITtI2Dy9bHgFmWKxExO8JWTYMy/MheM0Cb54NDExfJv1xyumH+5Kl0djCPst4S2n/oMZ+JPHua0w2Nk5V2XRNc8MDiHzprImHEulo3+gsHqRtRt2kc4Pxy0cbe0R5wua9k7THN/kp87WW/F1J05YNS85laP+6/B/r8a5+Mslv3o/y4Q6zatv190IXB/ocA0UGATeWbiLRrxksch2mPcgXi3fX9WeQyvvkIIItxkpHfB9PWjYkWNAGH6vExrmT/sEkvW231Me0LpYq6bMlXxsO4cO0ZcMhOKXnO8b9wZYN+5zcE5V5lbStxGeudL49JZYVj5JeKsXGDCu246Kdh2k7vKjdUdssP8QaYmaZNL/Wbq5/axV0wnUEeC/K58cPNI9sAvS5/yOx3PoD6RsSX8N9QGIAGVY2tLmW1eL98MYvfEOfkQikb5JespaXaydc2iSl77nDLJNgslBr8zGt825K4P3cPhIz4KEtx4dpbS4Fp2ntL9kxRkMLNb4mDJbWFy9r/EKZWKd/t8RoEWO0yFLB56SLpTtIb5Z4DzLp/dSvdSwYSw4EPdI+KW0dHWOTjn5FkjZtt8+5TKpnkn+T8i+n9FvqZH8vMWuIjdl32zuc5cSm77meoAKPTgoREE6UwvuZMfHGr7+J/CWA8X6Ge/Q/o6kqh6oAACAASURBVPTwDHm90g6UPivxmuC0Js9WUV42+UoRC8eTw71223yMK+A1BR+cPUP6n14152fu8qGrpqXg1OXDaI53TXMJIDz0yYdCYOIEWBMmjZuJIHPnZp803m/Fxggy1LFLc+AB+t01yXe7KB/5qRc7N0nn2IbNsfiHgBnaSb9Q6nMu1NnHvxZX5ioJpl22UhmemWTipTcDm690FV4mx3M4ch/dK+HBMhwDJ5bVg63UxlLxzvE7cm3i5jY6Ql0sjaXGg5lZT2yv0A6zyWlLpSH/QnwkcP1YekTUOM+6z8fOZGwvxIdQ/bRlQ/IslFPGaVTPksUxJ9MhOhXyoTAyYsmOJQzS/qs5VUZZjLpD3ps26fww8wrpLIdgXCRmZbHtpp2Qj79n6GvTghd15Z4LeRfDv77nM5b8Of1kpZz9obR54zSzrX+RmH3z0Yvt+r7dxYFBF//KQ1gyZ/ntcIlZSmwrtbNUvHOuf+Je6+604MVAlg/CHtaUpB+xQvPq1prWTiz1kVccPJ8+LME+6OnaXr12M1NTSn2IK+0KXgvlNPUERnIwi2NOJr4ADLOsg7XNaJoRH2VZi46/CjyoSefY8yWC3B5RWnwDcpGulR4nsZzAsiCjCsoycyt54HUFrz7nshj+6bRm0nL6yT11Ziwbny5xHS+QGNjsNJNnvDhO53C8r5pmpsp7Lt5/nSy9UoqX6fFuKXnn+I1Pk4yBzGrpQik8N9jn3V5sPCtOkeg/BHDel7FikmOlPn5ElVO2TatzGo7ylPpAFXxtTXs8U6kHVuwTXFNbCKe0rjHuZ3HMyqSz4xPNQ6XzJQIL/2zLEVL6HoqOtq+0SmLdm5kYX0mdJL1YYioebDttUCc3KPUxQuf3U1K6bBLKTPplLbmt85HGbCu23HMZ0r9Jfs9Kem4/mZXzqeXnrHKcBb/H4OMYfKjVt4dsN4tjVqYhvXJdM0nA/WSYyzarHGfB7zH4OAYfhumpdWup8ql83VN26yZgAiZgAjNPgPdNNhMwARMwAROYKQIOXjN1ueysCZiACZgABHK+0vEarfuKCZiACZjAzBFw8Jq5S1bFYfeTYbDPKsdZ8HsMPo7Bh2F6at1a/MFGXf5u3QRMwARMoISA33mVUHMZEzABEzCBqgQcvKrid+MmYAImYAIlBBy8Sqi5jAmYgAmYQFUCDl5V8btxEzABEzCBEgIOXiXUXMYETMAETKAqAQevqvjduAmYgAmYQAkBB68Sai5jAiZgAiZQlYCDV1X8btwETMAETKCEgINXCTWXMQETMAETqErAwasqfjduAiZgAiZQQsDBq4Say5iACZiACVQl4OBVFb8bNwETMAETKCHg4FVCzWVMwARMwASqEnDwqorfjZuACZiACZQQcPAqoeYyJmACJmACVQk4eFXF78ZNwARMwARKCDh4lVBzGRMwARMwgaoEHLyq4nfjJmACJmACJQQcvEqouYwJmIAJmEBVAg5eVfG7cRMwARMwgRICDl4l1FzGBEzABEygKgEHr6r43bgJmIAJmEAJAQevEmouYwImYAImUJWAg1dV/G7cBEzABEyghICDVwk1lzEBEzABE6hKwMGrKn43bgImYAImUELAwauEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxL9vGN9eZf126cNkSGObEcznm5hvGq/mtZQOd2vulNdI2lU5zDD5UOvUbNuvgNYrLsKyceILO9jjpDlPOemsdO1g6pdEP9ftVaZcpZZbboRyOMMnNd67y8lBOtecig91E9b9WOlU6QzpL+rx0nwnt7qH0k6XTpDOlF0vrTMg7ZDL+fEd6wJCV9qwr14d9Ve8XJJjC6Rzp7dLNerY389npzLl2d2VcJYUb4CkTCt5a6YdIq6WrpZ9LH5W2asnP6Dy9ocL+bi35pyXl+Le/KuDCr5aukC6T6ABvkG4jpTakf2nds7Sf00/W1wmtku4sHSlNmnkdoGMXS2F0eyNtv0uir9xTmmcbkmMub3gSCLhfU22WCTvH77aqeA78VAr3/nra/pDEtd4xKbCr9v8ghUHMFtq+RHp1km/SbqmP1PcJ6aESfZN6SmdeS+HDpfLvLRL3DbatRNrHmv15+MnimJOJkc87GkBn65cyqC14baT0kOdQbTMNfm6T/5f6vYsU2xDBoY9/jFa4kbeTuPmfLP1J4nwukm4vxTaEf0mVM7mb20/CbH9a8HqMCDw7ocBDlDZeNpN08p0ekiP9Poc33jHrWYjl+N1WP8HrhckBBrfUd1iS/n3t029ie6V2rpJulaS37Zb6SF0hENQMXrk+fFb+8lyN7QPauVJaillq0vSi7K4ZatnwxnKPh/r20qoOV1+n43dt8hC86Hjvk34vMbMhLTWm6oy4Ux2XZpyw38c/qniFxPLFNdIR0jFNvSx1vaDZjn8W6l9LlXOZxMPjzxlnxs333iTfLZp9RpDL3XI55uaryfNANZ7e879SGvfexpFjzHR2kFg+jo39m0qPTtKH3mUAW9tyfWDwx3M1Nu4fuC4kgNc+/xu0v+5A3tDRnppZV5zvgqYMF4VlIt51PFLaVGIpMRizsX0lfn8r0WEPki4PGTp++/i3u+qK26ZqZmK7NW1s3tLWQv1rqdJJEYEttc0D7niJwYRteAIMZHnP+GCJmc9PJJiHgdvwLV5f47UtFXOPhSXPcJjAhZ2X5A/74XhyeNnvsgz7BOlR0tPmicZQM69cJlsoY3hvxNo1QSVYCERMa+8bpbPJWjNLi/tLjMZeJLG8F2Zw5BnKCKh/TCqLlyR+0NLQUvrX0vzcJjEoYFmWB+nvpH2kuM/M7YlXODHe7fJBwkOke0hHS7z75Z5bavsHNfgj6UNRw+G5QT+ILewTcG03JMDgAz4MSliGZ0VjWVnfaSZLgJRB6Tuv+0fHWH+N7aTo2L7RgXsn+R4f5ftacixnd5p/beWZna5u2vyZfuNARv6h/WvzYRbS+vaTae+80vOFOcuIv5Dulx6cs/3F4tiHd0B6rDZ+LTF677Iuv7mPeN8dNOnLt79WHpa3+LIuNgIabRBcY7tJk/7BJL1tdwgfF/udVw6nPj7wnowPXC6S4sFAG59ZShvsnddinjQzrNji91wP04EQTPgyaadEQ8wsX6Y6N5fOlegE3Myx5fqXFPNuDwIw54ZlFMlo0rY0BL6tZljp4Gu1hdrDVcFvIn2mpcK7Ke3TEjPs7yXHw7vOmyfp4V0oAW+hluPjQtvoKj+0D7ySYZD/Kunp0q5dDszK8aHeeeWeL18TBkvbjkd3jLAnWRw8WGLk/Rhpn5R4ZxYbHf2KJK3PLp/gvlH6sPRCKSxRTKtjkn/TyvjYDQnwAv5qKR4pcxOeLv3/hjU4AXgzQk/vlfCBAMcWaieqgr+JKiGQxcYrAN6vPUP6n+QYu6c1aeGT+pCF96Hx8ZBe8tvlY0mdfcss1AeuFc/WdHk9DLIZ5P93X6fGmH+ImUmf8/qpMocRFF8AomAbNhs8sE5ptvmKLx0psOwQWzoTSg4X7bK+/jnpHyUelvtJBC6WCBm9BKvlX+TCXG5+WWeVLg9xoneSFuN6zyXEHifFUjzL6anxoGN5nz8SX6hdpgpOiBS/Ow6Bi/uNa4/xbPh8s80PKx8MXlj9iI19vlT+UpJesjvNx5L6Ssos1Ad4fLGlYe4dbIgZakv1S5+01MGLwBR/Lcbf7mD4wWfoGJ03fO1HcOBDjdhIC8ZoLOTdRtvMxGKlI8m4nknbu+nAGRLLEXtJBFyWM9AjJG70YH38i4p5M4PAW5TndlG+52mbh+khGWWdpT+Bx6lIHBhYuttd4jowC14sY0mSZa3jpU0k3pOjJ0s7JI0eqP09JF4XYCznsyLyZmluHsrNuS3kh+v4pKgCAheMLpZYll02Fi/d5Jx01wcRrKHzJRH1HizxSewzm306YPwFIe85+JSWG4upMMuCBCzKckPxlV9f6/KPYEj9k8RL7GCL4V/f8xlL/tx+8kE5vFpiRM+1ZTvMtMO58O5ypcTo/PvSmRIPt71Dhjn+HZIjmHJ4EzReK31X4v7i686TJVYcci3X77S+jyhh0r22Os2sfYIX/QU/z5JeIjFgzbFSH6l7f2m1xDOKei5s9gm+fWyxfbilnIHJNyXuHzhx/7xbumMfR0eeN4tjViadKGu1kzphOlpmWe5Q6XyJIHSJxIwsfWe1XZPv1CbPH5vfT+n3XlIfy/WvT/Aa0r8+5zLGvLn9ZIy+j8mnWeU4C36Pwccx+DCm/l7qSxbHrEylHrjc3BBwPxnmUs4qx1nweww+jsGHYXpq3Vpm4lP5uojcugmYgAmYwOgILPUHG6MDYIdMwARMwARmj4CD1+xdM3tsAiZgAsueQM5XOl6jXfbdxABMwARMYPYIOHjN3jWr4bH7yTDUZ5XjLPg9Bh/H4MMwPbVuLf5goy5/t24CJmACJlBCwO+8Sqi5jAmYgAmYQFUCDl5V8btxEzABEzCBEgIOXiXUXMYETMAETKAqAQevqvjduAmYgAmYQAkBB68Sai5jAiZgAiZQlYCDV1X8btwETMAETKCEgINXCTWXMQETMAETqErAwasqfjduAiZgAiZQQsDBq4Say5iACZiACVQl4OBVFb8bNwETMAETKCHg4FVCzWVMwARMwASqEnDwqorfjZuACZiACZQQcPAqoeYyJmACJmACVQk4eFXF78ZNwARMwARKCDh4lVBzGRMwARMwgaoEHLyq4nfjJmACJmACJQQcvEqouYwJmIAJmEBVAg5eVfG7cRMwARMwgRICDl4l1FzGBEzABEygKgEHr6r43bgJmIAJmEAJAQevEmouYwImYAImUJWAg1dV/G7cBEzABEyghICDVwk1lzEBEzABE6hKwMGrKn43bgImYAImUELAwauEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxu3ETMAETMIESAg5eJdRcxgRMwARMoCoBB6+q+N24CSyIwOYq/XXpwgXV4sImMIMEHLxm8KLNsMvby/f3SmdJp0tnSu+RNm05p42Udph0TpP/i/q9S0u+5Zr0BJ34cdIdpgDYWscOlk5p9EP9flXapaXMuUpb06I9W/IuJGkWrusYfByDDwu5zqMoS4fOtbsr4yop3ARPaSm4v9K+IK2WrpAuk06T3iDdRkqNUWXbTUXabmnmjv0c/9IqvhK1vyI9qP0h/WupfmaScvrJqTqbY6RbNGd1W/2eLJ0nbRid6TraPr7Ju75+2X+7dJFEmXm2HI4wWSXdWTpSmjTzOkDHLpa2aYDdSL/vkq6W7tmkhR8GEtyvqTZL8k3azfG79nUdg49j8GHSNZyl9ByO1wWOLqNTvkO6VDpbogxqC148wLhRtpO4CZ8s/anJz8Pp9lJsQwSHPv7Fbe/T+BXOZ0XiG7tD+NdS7cwl5fQTrv29kzPbS/uUpR8Ee0yTxkwt2E208VuJIDbPlsOR/hxWTaYFLzg+O4FFMKKNlyXpZywQao7fta/rGHwcgw8LvNSjKL5mqGXDG+t0CDo8bFZlnNorlIelo2ukIyRG4xhLIC9otuOfB2iHkWIqlk1yrK9/1HkziSUXHrhdtlD/uuqfl+NwSnkyM8A2jk6SgPZLKX6gMlv4psSx5W48AP+cAeGzysMybWxh1stAc6ltFq7rGHwcgw9L3Td6tzdU8CIIPVX6eYYHuyvPl5J8zMSCbd5SB+863ikdLR0u7Sf9Wrq8JW9bUh//QvnXauN86WNtFSZpC/Uvo4m5yPKHlrPYtkmLByI7KO28lrykbSUxsLD1J7ClihwqsSTLoDE2ngUM1r4l8W7sWOnRN8yy4L1ZuK5j8HEMPiz4Yi92BUMFrz5+XqDMf0wK3Cra/0FLZQ9V2nMl3pcxQn+RxAj+ri15h0iiXmaAvDPImeYvtX9DnOMY6mD5i2vKg/T0yCHeff6uxUHSKBP3l5ZsTkoIMLhiefsnEgxZDmdAFxvvnr8jPUS6h8RAkXfTXJ+hbBau6xh8HIMPQ13zRaunRvBKT2ZdJTyiSWTm9p4kw27af5b0I4mPJ8JaPS/u35fkHWr33aroQ9L3Miqs4V+GWzOR5YXyciOJgYlt8Qhw7/Cu69bSJRIDhfslzT1Y+5+QWI5kcPlv0n9LvGNcL8nrXROoTmAMwYtgxFLhudIuEsuBsaXvSOLlpYcpYxiF76jtnRKVnN/jVAcfFbzmhm5M3Mv1b2IFy/QAo//nSI+S+BAjNt7H3DxJY5f3NcyE0z7SktVJLQTgxmoCsy+WD7vs28rASkdY2u3K33V8Fq7rGHwcgw9d17L68ZKH+5BOv1qVvUn6sETw4UvFLosfXCwhbdoU+KR++YPNWBt0VZYcJ/87pVdJv+lZNmSf5F9hdXNZbC+d1Rulv5XaPvM+Tem820qNdzYsfV2ZHvB+K4GbKpV7JDa+7GXmdd8okXwbJvnYJS/GJ/ZD2Cxc1zH4OAYfhrje1evIeecTO8lSHmVQ26fy5GVN93PS+dIjSWiMGc/To32+Tts12mfzdlKon98QvJi5xelst92Q0/wLn/IyE+AdAPp9VC9fvJH2Cgnr419TZG5/cvvJY0WAPzzmb5SCPUgb/xTtk4f6ePcSjD+rgL0/lY+gaPNIqW0AQK4TJFYjUvuuEsJXnhzbV+JDqNS4R6+Q+DOFLsu5/rWv6xh8HIMPXddyFo7ncMz6YCE+2WnBgXy7Sbzb+pp0f+lukV6q7WPJ1NgB+uUGio3yOI6+nxzL2Z3mHzOvLRK9OWrvkObYRk1Di+FfzjmMMU9OZ+LhxWCAmS0DmyD+RnBldFLMFo6XvijxZw7YWyUeuP4j5QZI89MVvODIgC/Y87TBtQrvjknfV2JgxrJ9MJZ1ef/FtcqxnOtf+7qOwccx+JBzPceeJ4fj4MGLwBWCT9tvGryuVX7eQ/Fhx9YSU2rKcbPxlV9fmxa82uo6sGmPNlckGQheQ/vX5sMspOV0JmbabdectJXJSTJA+IDEZ9v8TeAx0lDvXpKmRrWbwxGHPyitllhCpQ+yfYoUG7OuldIPJAZ6Z0oEs73jTNreROJPQ5iRcX+xNHuytF+Sb9purt81r+sYfByDD9Ou46wcy+KYlUlnfKI06cHEjCVYn+C1nQodKp0q8ZUUX0Hx+ynpXqHCzN9c/0J199bGpPMJSzFD+pd5GqPNlttPRnsCI3FsVjnOgt9j8HEMPoykqy/IjSyOWZkW5IYLzwMB95NhruKscpwFv8fg4xh8GKan1q1lsH8equ5puHUTMAETMIFlRaD2p/LLCrZP1gRMwARMYBgCDl7DcHQtJmACJmACS0gg/QPGtqa9RttGxWkmYAImYAKjJuDgNerLMxrn3E+GuRSzynEW/B6Dj2PwYZieWrcWf7BRl79bNwETMAETKCHgd14l1FzGBEzABEygKgEHr6r43bgJmIAJmEAJAQevEmouYwImYAImUJWAg1dV/G7cBEzABEyghICDVwk1lzEBEzABE6hKwMGrKn43bgImYAImUELAwauEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxu3ETMAETMIESAg5eJdRcxgRMwARMoCoBB6+q+N24CZiACZhACQEHrxJqLmMCJmACJlCVgINXVfxu3ARMwARMoISAg1cJNZcxARMwAROoSsDBqyp+N24CJmACJlBCwMGrhJrLmIAJmIAJVCXg4FUVvxs3ARMwARMoIeDgVULNZUzABEzABKoScPCqit+Nm4AJmIAJlBBw8Cqh5jImYAImYAJVCTh4VcXvxk3ABEzABEoIOHiVUHMZEzABEzCBqgQcvKrid+MmYAImYAIlBBy8Sqi5jAmYgAmYQFUCDl5V8btxEzABEzCBEgIOXiXUXMYETMAETKAqAQevqvjduAmYgAmYQAkBB68Sai5jAiZgAiZQlYCDV1X8y7bxzXXmX5cuzCTwCeVbI22fmX+5ZOvLcblwGeI8x8C2rw++T5Irz0PDZgJdBHL7yRNU0Wrpx1JO8Hqw8lH3cgleQ3LcLGIXGIbfjZILeu6EvHsm+Sbt5vjN4OO90lnS6dKZ0nukTVsqxb/DpHOa/F/U711a8vVJyvGR+vr20TH44Puk5SrkXnCK3l1aJYUb5Ckt9aVJX4nyr0gPap8HXHrjhf3dWvJPS+rj366q6AvSL6WrpUuk46T9kwaG9G+a72M/ltNP1tdJrJLuLB0pdQWvdZTnROloifqXw8xrSI4Er+9L3Iep1lNabASSNA/71JFjOX6fqoqOkW7RVHhb/Z4snSdtGDXCdT++yUufYf/t0kUSZUotx8e+fbSvL4vhg++TCVchBzbw3iFdKp0tUQZ1Ba99orzkXyGlNkRw6OvfSxu/Vuv3IRI3+rbSKdJRiYND+JdUOZO7uf0kLFXnBK8nicRXpWdK1O/gdX3XoD/ncCTwHJvZm87IzDcpW871J3jdO6lgL+1T9slR+mOatPh630Rpv5UIYqWW42Mu2zH5sCzvk3VLr0BS7sbav71EZ1sh3TWj3pspz8FSW4dOiz9ACb9PE7X/05a0tqQ+/u2gCt7aVPI8/X6j2f6hfp8m3a2lgYX611LlXCbx8Mh5gHDyPKzeLD1W2nEuaZSfVB+O5a0MX5L75A9JtRc3+xtH6QQ0VjzigMrqxzcljr08qWPI3TGw7ePDsr1Phvpg4xr1nqdKP+/Ri16rvOdLH8sow1r3OyWWjw6X9pN+LV2eUZYsffxjWfBGTb3HJfWzTv/pljYX6l9Llcs+6SUiAP/vLXsSCwNwRxX/uPQdifdHH5VYPk+NZwGDyW9JDNSYsT06zbTA/TRwUR0rGlh8rzGAPK9Jj39I20pi4Gu7nsCyvU+GCl59OxIzsxdIB0g5I/GHKt9zJQILI7QXSczYcmZ4ytbLWCbEuNEIkgSsK6QfSa+SQmAjT7Cl9C9ud163eYHPrBfetnICf2qKHqTf+zfifjtJuldS7WXaJ8DR/+8hMVDknS/33GIZS3TUf4TEfRbsNtr4XbQfNkmjzK1aji3HJN8nHVc9J7jEVbxPO2HaO+md15eV59+aQgdG+Ve0+JKukT8+yv+1lvxdSV3+8d4u+B9eLnMeIe1fkwaG9q/L/7Ee79tPpr3z+qBOckV0on7nNfmqT+PYVmoDJf5KIjh1GbMvVjjW68qo432vP1UyCGVp8JZJ/Swl8oxI7W1KoJ07pQcy9/v62JdtjhtD+rCs75Oh3nnlXLSQ53Ha4IHPxxo5xgwrtnh54WE6wCiMG2xH6aZJXtbI/5ykde2yhhyMzsFoj6XKQ6RbS8+W3iCxJo/l+tdk908HAWYEj5Da3i12FPXhDAJXKQ8B44EZeb+tPI+UWNr7QUb+Plm4/58j7SLxIUZsDCBvnqSxy1eKPPy535e7Lfv7ZKmDF6M+3l2xHPSbwt4Xd1yWEJg6k/ZJaeukTm4Alvz6GDdSWFOP3+GxTfBi2fCeEl/Btdkk/9ryOm1tAgQuBhBnRoc2bLb/S79/lHhhz/W2TSfAjIYPndJ3TSwnxsvfDPrYT++VsOzYtlQ+veXpR/fS4TdKfytd2JL1NKXt2pK+pdJ+Il3Zcmy5Jfk+ybjifae505blwiewBAjW2BE3F22gq5u0VzR+8XVS2olvF+WnDMELOzdJ51h46DVZrvuZ5h/HeUAGf3iXFYw/rAzpOzeJffyLqprLzb79pM+SjJcNJ3eZaRxXqhjsYuPvmH4hfSVK3FfbrC6k9jklENDi1Yg0T9jPvf58PcqHI/ytX7AHaeOfon3yUB/v3oLhN8+Lxf5UPmoy628R4/w527mcQl3Trm/a3rK6T5b6gw0CA6MnprwsHSJmYsEILKTxixEc+FAjNtKCMUILs6NttM1MLFY6kozrmbT96ejAJs02dYZtRrFhqbCPf5Pac7oJLCaBl6nyzZsGmEHx95h89MTSd2ws57OEF2wfbewuvUViUDmEEZT4OOM/JAaGvEtGDGp5LgT7rDa+LuHrjZvEFfq9SjooZPKvCXQR6DtS6JrZpO0dqIQwo1mRHDxA+9dK3FgscW4tEbDIzw0Vz4y0m2Vd/nGDr5Jo4/MSo869m33SXi8FWwz/oupnajO3n/AecbXE0g/Xlu1TJpwpX75x/FKJ+i9q9ll+nlcbkiPL2++W+JKP++YCiQHkTgk8Bmavlb7b5GNp7mSJr21zLcfv81VZuNfT35VJQxtp/wMSn+2z6nGMxLu3hViOj9Tfp4/29WcxfPB9MuEq5MI+UeXTDhn2D2mpmxnWpPzh5tpOeQ6VmOlcIvG+g99PSemnvkqaan384x3A6yRuGkZ7PGhPkp6etDCkf1Odn4GDuf1kBk6lqouzynEW/B6Dj2PwoWoHH6jxLI5ZmQZyyNXMLgH3k2Gu3axynAW/x+DjGHwYpqfWrWXNUr/zqnu6bt0ETMAETGAuCDh4zcVl9EmYgAmYwPIi4OC1vK63z9YETMAE5oIAn4B3mddouwj5uAmYgAmYwOgIOHiN7pKM0iH3k2Euy6xynAW/x+DjGHwYpqfWrcUfbNTl79ZNwARMwARKCPidVwk1lzEBEzABE6hKwMGrKn43bgIm+BlPeQAAHsFJREFUYAImUELAwauEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxu3ETMAETMIESAg5eJdRcxgRMwARMoCoBB6+q+N24CZiACZhACQEHrxJqLmMCJmACJlCVgINXVfxu3ARMwARMoISAg1cJNZcxARMwAROoSsDBqyp+N24CJmACJlBCwMGrhJrLmIAJmIAJVCXg4FUVvxs3ARMwARMoIeDgVULNZUzABEzABKoScPCqit+Nm4AJmIAJlBBw8Cqh5jImYAImYAJVCTh4VcXvxk3ABEzABEoIOHiVUHMZEzABEzCBqgQcvKrid+MmYAImYAIlBBy8Sqi5jAmYgAmYQFUCDl5V8btxEzABEzCBEgIOXiXUXMYETMAETKAqAQevqvjduAmYgAmYQAkBB68Sai5jAiZgAiZQlYCDV1X8btwETMAETKCEgINXCTWXMQETMAETqErAwasqfjduAiZgAiZQQsDBq4Say5iACZiACVQl4OBVFb8bN4EFEdhcpb8uXbigWuoV/oSaXiNtX8+FUbc869e3Olw6l80Eugjk9pMHqqL/ks6UTpdOkvbuqnwZHc/l+AQxWS39WJoUvA7XMeqbpA0irudOyLdnlGfaZq7foY4HR+21Ba+NdPww6RzpLOmL0l2mOZBxLMdHfHlv0yb9k376HmnTjPpzsuT4QD051ze090RtnCCdLP1E+rY07/dUFsesTA3Fu+t3lRRulqc06W0/uyrxC9IvpaulS6TjpP2TzNyYk26+3ZK8Xbu5/u2uir4s/Uq6RvqZtEqik6Q2pH9p3bO0n9NPePhcIfEwCLP+Z2ibsnvM0skuoq85HNdX+6ukO0tHStOC1zt0nPsw1se1/00pNh7SaT72N0vyTdrN8TuUXUcbJ0pHS5RLgxfHj5eOkThX9t8uXSTdViq1HB9PVeW0e4umEdojKJwnbVjacFQux4fc60u1r5S+K92xaePG+v2M9O6ozXnczOF4XefqMjoXN8ml0tkSZdCk4PXS5vhq/T5EWk/aVjpFOkqKbYjg0Me/fdR48J+HLL69JEqjswztX1LlTO7m9JMXNxy3TM7wF9o/YibPeninczjSn0Pwnxa83qp83F+p8bD7+yTxjDRTz/0cv0OVT9LGV6VnSpRLg9djWtJvorTfSgSxUsvxkeB176SBvbRP2SeXNhyVy/Eh9/ryzPxji793akkbwPVRVbFm3YHcIdrfXqITrpDuOqXeHXSMmwp7nvSNZvuH+n2adLdmP/55gHZ+35L+05a0tqQ+/u0bVfAlbdM5Pi8d1KRzPPgfsi7Uv6jJud68tjm7tN/dSOl/muszH/bkeADmPATTgRZe3F9i8PCpYV3Kro0g9GbpsdKOE0oRLFiRiQMqqzPMFjn28gnlhkjmXv5DUtHFzf7GQzSQUUfu9eV5+XOJgBvbBdpBc21DfbDB0tpTJUB2GcuCPKyw45LMrDF/Okljl+Wmd0osMxwu7Sf9WrqcgxnWx78rO+prO75Q/zqanJvDXLtzpRXSTSX6Hw8i+sO7JNviE3iWmviwRDCIjWtxsPQtiYHksdKjb5hlkD1WMbjvvzelNga457UcJ20r6WYtx4ZKSgMX9TLDwdLn1VBtltbDe0PuJ2aETAJY9TpBanu9UdrGTJfLGeHFJ/g+7YSRQ9uyIUuDHCegvFAiYPEe5EfSq6QQ2LR5nV0oUScB4uESsy3Ks9Q0bYanw63W5d/9VIrASBusGzNLeFGzz+xvj6TWof1Lqp+Z3dx+wnuaVRIseafIdecmtF1PIJdj4DVt2TBlykcQ3GvcS6kxq3mCRBBbT3qu9GeJwWaO5fi9qSpigHuHpsJn6pdy6bIhM50vtzT6tiY/y2IlluNjWi9LeASEw9MDhft9fZh2fQlcXE/eD95O4to9SeK6cf3m2bI4ZmWKKHUFh0uVlzpReDFKkAtp/5oQT9efHx/l/VrB1enyjyofJJ3TtMNyFr79TEoDF3mH9o86Z9Fy+gkPKTgywl9f4mbj3ctV0p6zeNKL4HMOx7jZaQ+31L0XKKEtKKT5wv6x2mAgRzDrshy/P6hKVkQVzULwYuDK8uUtuwBkHs/hFFc17foycKY+Btyx8WUmz9l0IpBkm+ndLI5ZmSIMXcGBkQJ1Itavg4WgxnuRaV8UMXoL5Rlh3KqpYEf97pSIh2NqXf4x5WZWSBt0XG7cv2v2aY+PTabZJP+mlZmHYzn9hHeHBK/0puLdYs6S8zxw6jqHHI5xHdMebmlbZymBd0259nplxJ97ZBTo8vtequN8aYOorknB6zTlObGlTT6g4h4sXTbs8jFtch8lsDKwWXpgAft9fZh2fbme8OCdfmxv0g7tbJOkz9PumraH+2KfIF8MBYsfWGGbB9s9pzjBSDAYU3qCBfZJ6euJ4hulyTb1h7ZZKgydgUDHBxufk1jKoL03S6FNba5lk/xbK+MyTOC68ndJ6ccZvGPZpNEyxLIkp7yLWrmFxAAiNd4/bpgmaj9cp3Sw0ZK1M+kRynET6UxpdSOWAbH/avZZVcEIXrzbSm1LJfxEanvvnOZd6D4D6zdKfysxwxmjnS2neCah2MJ1q/F8XzJONU6OKXiw+KaItxlNYHz5s+v/5r5+g3X72OJgkRzqvXtHlQgzOWZfvJcJdlmzwUxsu2Z7qf2L3JnJTd5T3llKb7bNlQbvwHgmT27kTj9b/n1AYmUjNYIGA7XUWM0gUDC4WKgdpAp4L7NFpFc0lT6ySWMAiv2nxOpLPONjmZnlfP6GabGN2elbJAIus0WMtv+p2R7Lz9GNI+lgf3ul81xkoDi3ViN4xV8TMtrGeJiFbb72ObVJJzikLx5JC8YILczYmCKHUUj4ZYmyj/1GmZlpYdwsjEiDxZ/JXtIk9vEvqmrZbjKr5WX7yyICPLh2k/5dIoDZhifASsHu0mFTqn6cju0SHd+nKcND/Oop5Rbj0GdVKaso/O1oWAVZoe2rJILgYhqB6wjpP6SHSryPR4+RtlzMhgvq/qjKfF96qxRWmZgp8m7+dVK6wlHQxGwX6btGywiOMoiLnhozrFXNcZYwWErYu9mnzOujAgdom5EiN9a60tYSAYt83FB0rr7W5R83R/D/+domwNMZQho3VrDF8C+qfqY2c/sJD9HjJdbrmYXzyTQDFK6v7fp+lsOBjx9WS8yMuEfYPmVCwdco/agJx0hm4Pha6bsS9xdLcydL+3Ew03KvP9U9RFotXSpR7qJmP17mZ4WFmSKzPvrKMdK20kIsx0dmWuFeT39XLqTxpmyOD2TNvb7MUPELv8+RuJ/anrvUOU+WxTErk6jwgjW92GH/kIQaMxpGBnRKRlPcgCdJT0/ysTx3qMRMjNkOsyJ+PyXxAriP5frHrG1faZXETIyZ4OUS/r1YCiNBbV63fDiUf9Q3y5bbT2b5HJfC91nlOAt+j8HHMfiwFP14sdvI4piVabE9df2jJ+B+MswlmlWOs+D3GHwcgw/D9NS6tVT52rDuKbt1EzABEzCBmSdQ44ONmYfmEzABEzABE6hLwMGrLn+3bgImYAImUECAjxO6zGu0XYR83ARMwARMYHQEHLxGd0lG6ZD7yTCXZVY5zoLfY/BxDD4M01Pr1uIPNuryd+smYAImYAIlBPzOq4Say5iACZiACVQl4OBVFb8bNwETMAETKCHg4FVCzWVMwARMwASqEnDwqorfjZuACZiACZQQcPAqoeYyJmACJmACVQk4eFXF78ZNwARMwARKCDh4lVBzGRMwARMwgaoEHLyq4nfjJmACJmACJQQcvEqouYwJmIAJmEBVAg5eVfG7cRMwARMwgRICDl4l1FzGBEzABEygKgEHr6r43bgJmIAJmEAJAQevEmouYwImYAImUJWAg1dV/G7cBEzABEyghICDVwk1lzEBEzABE6hKwMGrKn43bgImYAImUELAwauEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxu3ETMAETMIESAg5eJdRcxgRMwARMoCoBB6+q+N24CZiACZhACQEHrxJqLmMCJmACJlCVgINXVfxu3ARMwARMoISAg1cJNZcxARMwAROoSsDBqyp+N24CJmACJlBCwMGrhJrLmIAJmIAJVCXg4FUVvxs3ARMwARMoIeDgVULNZUzABEzABKoScPCqin/ZN/4JEVgjbb/sSZQB2FzFvi5dWFbcpUZOwNd3gReIh4vNBLoI9O0nD1aFlHHwuiHZXI5PULHV0o+lacFrJx3/nyYf+b8k3V1K7VwlhOsR/+6ZZpywn+s3xZ8onSCdLP1E+ra0d1LvRto/TDpHOkv6onSXJE/f3Rwft1alB0unNPqhfr8q7dK3sQn5c3ygaM71ZdD3Xgk+p0tnSu+RNqWCObcsjlmZGlDcFKuk0PmfMgHg7kr/svQr6RrpZ005OnVq3JhtNxVpu6WZJ+zvr/QvSKulK6TLpNOkN0i3kVK7tRIOkVZLV0s/lz4qbZVm1P4Q/rVUO3NJffrJOjq7E6WjJcp55vWXy53DcX1lXyXdWTpSmhS8HqJjf5Be3lQP93dJl0p3atLCDw8+7tdUmyX5Ju3m+E3ZV0rfle7YVHRj/X5GendUMX4eLx0jca7sv126SLptlK/vZo6PB6jSi6VtmspvpF+Y8Ry4Z98GW/Ln+JB7fU9V/TC6RdMObBgQnCdt2NL2PCXlcLzu4dJldK53SNwUZ0uUQW3Ba5/oOKOE9aSXRGl07tiGCA5cZG7O7SQ6xpOlP0n4yA1xeykYI75wDodqewPpuRJ5fymlo78h/Pvfxmd4I6efhNN7kjYYzT6z4erg9ZcLn8OR+y0s+U8LXgwQz4/y0srNpN9J7/tLk9dtnZHs993N8XtbVfpH6d5J5QTSOO0x2qe+uF/cRPu/lQhipZbjI20/O2mAAE7Zl5U2HJXL8SH3+vJcS1nu1fjKM26eLYdjVvAiIDAzYbrKTUHFqC14MVIIx5mBYQSEkMYyQWwEh/tLdORUN0/yTtrlIu+RHAyjftp9W3TsndoOvsSjr6uadJZdYhvCv6TKmdzN6kw6Mx5C50n3kRy81r7UuRxDyWnB69fKdOzaTfzV95TG7CK2pQheb1aDF7T4kyYdroRfpIna595jebPU+rIN7bCiRNn9ShuOyvX1Ydr1Zdaa2oMaXw9ID8zZ/pqhPthg6e+pEstrXXZlR4a24wQ3ggoBh45NJ+LGvLyjrnCYIJkGHWZiwTaPtjmPYOFGY5YWbvZHapsgHdtC/Uuqm+tdZtnHSTxAbYtLgHuJZa/U/qwEVhvCchPHeRYcLH1L4j0PQe/RHBjQeM9J8GFW8A2JFY4TpPR1wQ5KY4CTGmks3TN7XCrbUg2xAsMy5hFL1WhmOywJp8bsFuMeW/bWd6TQNfO6n4gSeKiXde51pRc1+7/XbzpDYmZDnQSIh0s/bfIyMrurVGqHNfXgx2uaSraI0gjIsfGwJS+Kb+rF8i9pfvS7Of2EoM8A5w7N2XjmtfZlzeEYl5o2Mv+8Mv5MWi8qEJYNaSd+n/VN7T9BIoiRn6Vygtz+Udlpmzl+E7h450wguJ1EWywh0w7tBWOgyJJnaqyQ0E76vi7NN2k/x8dQlucN9zZl/lPaZFKlPdP7+EDV065v2jTLjQwGDk8PzOF+FsesTBGcruBFVqa2LA9Sd3j3xE2WBi7ypmu6j2/KUfZrZCgwAuZqiTpo91ZNHSxPkobSGeBJ0bF9m/z8LIZ/UfUzs5nTTz6os1kRnZGD19qXN4djXGraw42+yej8IIklJpZsuT9ZsaCdW0vTjNkXA804+E3Kn+N3CAYMYGP7onYulcIscQzBK/jHs+G9EoPl1O8bnETmTg6nuKpp1zdtkkkAy7+3TA/M4f5gy4Z92LBEsEpievtiiRtqT4lR+VHSS6XYeF8VWzwdfpgOhMCzo7Z3SjRpWZQXr5tLjAR3kbhBSy3Xv9L656XcvXQij5DeMS8nNAPnQd/8PxLvbH4gfUNi5eIDEoOz30jTjE/YN5bCUtS0vDnHQtA8LcnMqgaBlCU6jEDW9j6bZU4e/gu5X5smsn9oi/dHfOTC8uFYbR859hzpURIftthEoO9IYdrMi5HVr5o6qfemEeGLmnRGigSyScYIkrJB3JgYgShOZ3vD5lj882rtsEzxIYmbIbYttBPqyF02TKq4boTb5l+ab972u/rJgTphRq+rI/GQohzXnnRm1cvdujimfPqMzEPZz2jjK1FF3Idt98rrlI4/O6SNtuzn+P3Zpr71k/Kvb9JDkGTZi76S2lJ8sAELlt9Sw/er08SC/RxOcbU513cvFWAliz+dWC6WxTErU0RsWvACLvWhtCMwMgzHmA1hD5B2bbbDD2vlIR+/IdB1Ba/bKO/npPOlR0Z1srTy9GafTsvn8KF+AlGwHzXpBL7QZh//oqrmcrNvPwGClw3X7gp9OU57uHG/MeONjXdezCbigcK+2m97T8L9wjsqVke6LMfv/VQJ+dLlN4Ipg9qwbPjYJt89okYJeJdJi/2p/AlqgxWc1L6rhIvTxIL9HE5xtdOuL/lglQYuXsv8U4Fvs1RkyZcNWabg7zwwOmM882J5ItglzQbBIX6RSzJpwVh+CF84bqNtgk8sbjxsN4m1YGZajFJ+Kt2tEUtZ4UamYx0hBdus2WD5MXxkwIvk0GYf/6JqvWkCS0LgoWrlE1JYWt9A2++XjpM+mXjwOO2HQSOHWIbiK923SOlAMymavcuf03xfequEL9jfSntIzPJ4/40xy/m6xBJzGECu0PZV0kFkWGTjnBkkB3ueNngtccgit9u3egIXz6v/kLjWT2n0GP1u2beyeczfd6QwbeYFHzofdaLnSwQGOm9Io+MGO0Ab10rcWOtKW0sELPJyQ3HBcoxgE+pv+z02qoQgGmZZfDpMkA0zBEaHd43yDuVfzjmMPU+ffvIQncxq6VKJcmHZMDzQxn6ui+lfLkc+foEh7664R9g+JXHsvtpneZDBGu+/TpZeKa2X5ONLutdKzC64v37S5GWmlGu5ft9WFa6UWAFhxsD7Lh66qW2khA9IfLZ/lnSMFJYV07y5+zk+MutaKbESRKA9Uzpe2ju3kY58OT5QRc71hWHb84y0lR1+zPrhLI5ZmUTixCkg4xELM6N9pVUSMzHecfEi9yTpxVK8VLed9g+VuPGYjTFr4/dTUrocoqSJ1id4UQlLjLRL5yBI0iYjHIJnbEP5l1Q7k7u5/WQmT24JnZ5VjrPg9xh8HIMPS9idF62pLI5ZmRbNRVc8KwTcT4a5UrPKcRb8HoOPY/BhmJ5at5Ylf+dV93TdugmYgAmYwFwQ4H2TzQRMwARMwARmioCD10xdLjtrAiZgAiYAAT6e6DKv0XYR8nETMAETMIHREXDwGt0lGaVD7ifDXJZZ5TgLfo/BxzH4MExPrVuLP9ioy9+tm4AJmIAJlBDwO68Sai5jAiZgAiZQlYCDV1X8btwETMAETKCEgINXCTWXMQETMAETqErAwasqfjduAiZgAiZQQsDBq4Say5iACZiACVQl4OBVFb8bNwETMAETKCHg4FVCzWVMwARMwASqEnDwqorfjZuACZiACZQQcPAqoeYyJmACJmACVQk4eFXF78ZNwARMwARKCDh4lVBzGRMwARMwgaoEHLyq4nfjJmACJmACJQQcvEqouYwJmIAJmEBVAg5eVfG7cRMwARMwgRICDl4l1FzGBEzABEygKgEHr6r43bgJmIAJmEAJAQevEmouYwImYAImUJWAg1dV/G7cBEzABEyghICDVwk1lzEBEzABE6hKwMGrKn43bgImYAImUELAwauEmsuYgAmYgAlUJeDgVRW/GzcBEzABEygh4OBVQs1lTMAETMAEqhJw8KqK342bgAmYgAmUEHDwKqHmMiZgAiZgAlUJOHhVxe/GTcAETMAESgg4eJVQcxkTMAETMIGqBBy8quJ34yZgAiZgAiUEHLxKqLmMCZiACZhAVQIOXlXxu3ETMAETMIESAg5eJdRcxgRMwARMoCoBB6+q+N24CZiACZhACQEHrxJqLmMCJmACJlCVgINXVfxu3ARMwARMoISAg1cJNZcxARMwAROoSsDBqyp+N95B4KY6/j7prEbf0u+mHWV82ASWG4FleZ+su9yuss+3GoHXZASe9yvP6ZGHL9b2/5XuJl0lHSfdWTpFer1E/qW0J6qx50o8LDaWfikdJH06cuKB2sa3O0l/kn4v/XOSJ8ruTRO4AYGx3Cevllf7SdtJfxj4Gj1T9R02pU7u+WOmHM8+tCY7pzMuZwJd/eRvBedqieB06xZQ91Ha25L0Y7V/VJS2vrZvIZ0o7dNSx2ImvVKVf1e6Y9PIjfX7GendUaN30fYV0nuksKrxDG3DZo8o37TNLo7TytY8Ngt+j8HHLh/Gcp88S53pq9JiTHAIXkdLT0n0Ou1fKW2U0ZG7OF5XRVamjMacZb4J5PST3YSAUdzJ0i1bcHw4SSNIfaIl31InbasG/yjdO2mY2VWcxkwRDlsm+X6h/SOStEm7ORwnla2ZPgt+j8HHHB9m9T7J7X+PVcYXtmRmFeNDLeltSTkcHbzayDltLQJZnUmlmDFdK/H+asOkFpYomLFsLV0oXSOxXMj26iR9KYPam9X2BVKXPV8Z4MAMLLZfaecjXYWb47kcM6tbsmyz4PcYfMz1Yej7hBkd9xHth8DBKgZpDChXRj3l37TNkjh5WbJfCruJGrlUun9mY1kcszJlNuhs80ugTz95mjD8WeId1gZTkEyaeU1KT6siOLIE0aUbpQWT/a9pHz1Z+oZ0tnSCxDuw2G6lnR9JzLJ4L0Ygfrl0mcSyaI714ZhT31LlmQW/x+BjHx8W4z6h/XTWc6rSViYd5VHaJ28cvAgwXfcSx1ne72tPVQGW5XMti2NWptwWnW9uCfTtJ88WCcr8tzSps08KUpPSU7jko40u7ZQWTPbP1T7vso6XbicRlJ4kEYD5gCM2PihZJfGhBjMugtmDb5Bj+k5fjtNrW7qjs+D3GHzs68PQ9wntlwavt6ls173EcT466WvfVAHeheXamsV4GZfbuPMtbwLv1ekz62Kd+0iJdXDeKw1pz1FlLI10WfyFY1teRpw3k3inxfsr7GMSMzG+LORzfr4s3F76cnPskfrlfHgp/RWJYHeUZDOBPgSW4j7J9efflZGPqLrsvK4MyfF7af/u0sf7lHPw6kPLeYcmcLAqJCgQANjmndGQ9kNVltPHmVVNs8t1kBHlaUmm72n/0RIfaDA7e0tz/GX6JZhhvOtieZEA5+DVQPFPLwKLfZ/kOnOxMv46IzOrDn2M2SX3CV8aZlv4nDe7gDOawMAE/lX1rZLeNXC9VMeM5zcZelBH27zjWqdRnDUEqHAf3VMHfyyF9JCXILpJo7i8t00gl8BQ9wlL3fTl2NIPpyb5tEIHcu6nl06qoCX95kpjBYPBXS/LGZX2qtCZTaAHAd4PMevaW+JLo6FtqGVD/iZlT4ngFL9UZpmQkSgBC2NJkXPi4RC/29hc+3w5edl1uWwm0I/AkPcJffQ2UfMEj80y3VmMZUM+1DhFOjPTh17Z+r5g7FW5M88Ngb79hHXuwySWDSfZpA8zJqVPqmeh6eupAr7I4n0W7+kwPj3mnVb8wQY3Ihz4wjAY776ulQ6N0qZt9uU4ra6lPDYLfo/Bx74+DH2ffFKd4gyJv7NkxeCtEgFtZdJZHqV9fL1bkj70Lu+bn1BQaRbHrEwFjbvIfBHo00948P+L1DbzZxb2AGm1xGyFdXC2+UKKv/9K07s+c1eRQey2qmWldL50jsT7Lj7GSG13JfBV4lkSDwnyEeDazjUty34fjm3la6XNgt9j8LGPD4txn9xJHYRB2K+kkyX6KwMz3vvy3hZjifISCV8vkl5yffLg/92paYd/raavZXHMytS3ZeefOwK5/YSv7lZMOfsPTjm2HA7lchwbi1nweww+5vrg+2R6D/en8tP5+OjABPgK7++kD0ttf9OxkdJ5IWwzgeVMwPfJQFc/d6QwUHOuZkYJdPWTf9Z5kadLu8zo+Q/ldhfHodoZup5Z8HsMPnb54Pskr2euST+ZbCsG7Jx8bWWdtnwIdPUT/hciOe+nWIvvusHnmWoXx7Ge+yz4PQYfu3zwfZLXw7ODV151zmUCJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJmACJjD3BP4fLJuSgkIgh6kAAAAASUVORK5CYII=)
![](data:image/png;base64,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)
where, a = assumed mean
fi = frequency of ith term
ui = a - xi / h
h = class width
![](data:image/png;base64,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)
= 137.05
Hence,
Mean, Median and Mode are more or less equal in this distribution.
Question 2.If the median of the distribution given below is 28.5, find the values of x and y
![](data:image/png;base64,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)
Answer:Let's make a cumulative frequency table for the above problem
![](data:image/png;base64,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)
Total frequency, N= 60
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAArCAMAAAD12NAnAAAAAXNSR0IArs4c6QAAAHhQTFRFAAAA///b//+22///tv///9u2/9uQttv/kNv/kNvb/7Zm27aQ27ZmkLbbZrb/Zrbb25A6ZpCQOpDbtmYAkGY6Oma2OmaQOmZmAGa2kDoAOjqQZjoAOjoAADqQADpmZgBmZgA6ZgAAOgBmOgA6OgAAAABmAAA6AAAAsRsFwgAAAAF0Uk5TAEDm2GYAAAE1SURBVHja7ZXRUoMwEEUvhFCkStMEK1ixRQP7/3/Y2SCMzrQOm7457kN44ZDdu3cX4I4oiToFGKJGihoaCwCOeSH54i2TVgom7a7tFNJzISXTU2bGAvlHJlaoU7m3KMX6wDRI2k7FlFkBZnzgh7BMVib3+1NMmXwxybs5GcCQlRsomC73Ff5MJI9vRO/BnklN9LpZL+P4BN3ySLFpdDusbqFrgpgVUDJekkxPxzeFI+0lJtf1YTMly+QN3ziaY5xnNu2JDmomw0k/4rdLt37IvpOiVWeXbG/UeSVbBIfaRSG7eoYtvnoxtWZ1VxI2gV5klZSpa0/0HF7Xx0nl8MXtcTaldLZpB90PWQS5mDLyvxRLuphscc8emlodBTaxRTYqDjRspjIi3/yTN5OzMR4KYfEfV+ICyWUbwK3Oz3cAAAAASUVORK5CYII=)
Now,
Given median = 28.5, lies in 20 - 30
Median class = 20-30
frequency corresponding to median class, f = 20
cumulative frequency of the class preceding the median class, cf = 5 + x
Lower limit, l = 20
class height, h = 10
Now,
Median can be calculated as:
![](data:image/png;base64,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)
28.5 ![](data:image/png;base64,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)
28.5 - 20 = ![](data:image/png;base64,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)
8.5 = ![](data:image/png;base64,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)
25 –x =8.5 × 2
⇒ 25 - x = 17
⇒ x = 25-17
⇒ x = 8
Now,
From the cumulative frequency we can find the value of x + y as:
45 +x +y = 60
⇒ x + y = 60 - 45
⇒ x + y = 15
⇒ y = 15 – x
as, x = 8
⇒ y = 15 – 8
⇒y = 7
Hence,
Value of x = 8 and y = 7
Question 3.A life insurance agent found the following data for distribution of ages of 100 policyholders. Calculate the median age, if policies are given only to persons having age 18 years on wards but less than 60 year
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2+Ep0bYSucZ4X/ncxjZ5y4U/LYuGbwOya6TUSd/IB5Zspz9qPEfxCV+68kfn7Ec8TgT/hSxA+SvJWIPuaIM39+9A8RfCmDQ+YNvQ57JkG5lYh70lcHRzgzwnp9MBSbecBZnRThKL4SPSO6RFVy/Hy+ceZdfplZBsMDknVCRJvp99+bcd1addeM+C1gB7+DlagwJ46zIODUXxitRPwmea7vxokZgXMfmJE/K2ujv8W12oStKxHPJG0gTpsI9fjztaRpy7OiMi78/lCOw1rjz/i5XEl5no8SeBnmReOTEf3C8wSLO/+ixNqR9X53a1+9oLPzMvqlaR8D3IUVrpUb8fD/zoV1w3Xu8xs5f3rEG0zLAefBctUDN2DkvJ6BDZhk0RAYvz23CIXf9SNbNKwDm7r83e0Ko/8lnTUeWD+UvDdfyJ1419yPzaUp079ft+pH5wbMTFoOvPGwTv93GzRyVzwDGzTB4jMItO4weMtnJsVSmWHjBLr83e0Ko1fCjqleCaxRMh28ZZV3YUVZR73FhXWz0X1Y2nlEdMmIJZV5OKZfpyn8cO++iRvsimdgE2Z4yYhAqw6DpZfdoj+PXmWvbZpAl7+7XWE0Ay3reqy7nhqxgXbPTWNd3IUPS9VlL+FvF2fGLq95VzwDu9zoLVwBb+5nROzn/HiIl/X5FprN0jJ7A2wGs7lv2ByB7WXjbHOXL+YqB4vFcLdWCUhAAt0R0GF012UXusE+Axc6Um8ogXUJbOn/S2rd1ltAAhKQgASmExh/GTT9SktKQAISkMBSEdBhLFV321gJSEACmyegw9g8O6+UgAQksFQEdBhL1d02VgISkMDmCegwNs/OKyUgAQksFQEdxlJ1t42VgAQksHkCOozNs/NKCUhAAktFQIexVN1tYyUgAQlsnoAOY/PsvFICEpDAUhHQYSxVd9tYCUhAApsnoMPYPDuvlIAEJLBUBHQYS9XdNlYCEpDA5gnoMDbPzislIAEJLBUBHcZSdbeNlYAEJLB5AjqMzbPzSglIQAJLRUCHsVTdbWMlIAEJbJ6ADmPz7LxSAhKQwFIR0GEsVXfbWAlIQAKbJ6DD2Dw7r5SABCSwVAR0GEvV3TZWAhKQwOYJ6DA2z84rJSABCSwVAR3GUnW3jZWABCSweQI6jM2z80oJSEACS0VAh7FU3W1jJSABCWyegA5j8+y8UgISkMBSEdBhLFV321gJSEACmyegw9g8O6+UgAQksFQEdBhL1d02VgISkMDmCegwNs/OKyUgAQksFQEdxlJ1t42VgAQksHkCOozNs/NKCUhAAktFQIexVN1tYyUgAQlsnoAOY/PsvFICEpDAUhHQYSxVd9tYCUhAApsnoMPYPDuvlIAEJLBUBHQY07r7kBQ7I9oeHTDtEktJQAISkMCiCTBorxWukpMM7j+IKEscfT86M3pDtC3aaLh+Lli0w7hUbHhE9IHoxOjz0Yej+6/SmBsl/8joC9Ep0Uuiy6xStqfs9Z4B2rJv9NIITp+LYED7r8ZJgwQksGECU353G77prr5gqtGvjCHnj4y5Y9LnRgwgF92goS04jPvF5p9Ed69s/4vEYfLoUXuunvQ3oicP+bvneGz0nlG5HpNTnoHPpGHvjC47NJAXiU9Gp0Z79thobZbAgglM+d0t2MRfrX6q0bMcBndjhsE99v7VW6+Z04rD+LcZVuIAvzjKf0HSZ0e7Vfn7JU7b7zHjHj1lTXkGcBg3HzWKmRjXPqSnxmqrBBohsH0Z9zAuNsCvBx1mG+xTnBydFLF884RoyiwER/LW6LToK9H7ottGJXw5Eer6bvT2Kv9dib+8Sr858XOib0UM7LMC1z9gxomzkneFUT6D43HRT6v8jybOUt1qS1gzbt1t1m1iOU6jDnAijFldsJQpCUhgyxCY8nZJY8czDBzFPaPzImYZdXhWEuxxlDfSGyb+zeiwqtCsGcZeOc+yDwN/cb6PTZylsFtX1+I0XlWlWRKhDANY7ZSOSpp6NhpwVEdUF10xcTjRrnFgLf9j48zO0lOfgXGzHpoMrr3J+IRpCUhgXQKb/d2te+NdWWCq0TgMyq4M4u2dt20G7nrjl7V+9gVYwqnD05PAuVx+yJzlMF6ccz+KGKBLwHGsRAz+JTwvka9Hxanwhn9ChH3FsVwu8fEb8S9usEbkrjmH82GTt4QbJMK9D63ySvQjieDAeg5Tn4G6jTjmD0av67nh2i6BBRLY8ktSDObbBuEkmDlcN/psdK0B/J1yZJ2fr43q8Okk+Crp9qP8Orl/Egy+36kyf574J6JyX06xlHTVqCxV3SdxlsBwSPemQAL7Cu8e4lMPV0rBl0UHRTggw+oEHpNTOP/xxwGrX+EZCUjgAgSWbQ+Dwf2vI5zGkwYSVx6OzDBWKpH+XsRAv1rg2v+acRIHcvGIWQOBz2Aph3Ngaex3ovcOKg7jvknXexxJrhlY1npH9M8Rs6k6sA9CmPUJLV8NffsCpbd+4oFpIv3O12X0qUECElgSAlOXI8Z7GAUPAzn3YBAnPHhI89a/Vpi1JHVSLuA7/3FgP+HHETOXEl6fCH838bvRa4bMR+aILXyxxYb7VAeOs8D+4vSG213gcEZSbxqd4P7nRmMHM+v6lvOmPgO0geU/2F675QZpmwQ6ILCR310zzZlq9GoO43ppCfcom8RXS5zBfTz44lgY5K8xtHyWwyh7GCwNlcBa+alRvYfBuQdF1PuWqHylRN0sYZFXb4pTfrVw6Zzg66exva9OHvsxJbwwka9F5asw8lkSw4Zl+KyW9v5RNHYWfIH2FE4aJCCBDRGYOvZu6Ka7uvBUo2c5DAZ2ln1+FrH/UMLTEuFvFsrGMTODZ0dHV2VmOYzyldQrUq7MDg5O/Pyo/kqK27AUhGPiHDOEEvjUlTbdr8pbLYqzeH/ExvWBI30p6W3VhTgPvuAqG9+7J35MNHZk1SXdRKc8AzgL9oieGNWs6NfDu2mphkqgHQJTfnftWDtYsp7R/EXvSsRXUZQljlii4Usl/v6hdhZJ7ghsHLO8hNgUZ/ZQ9iDYoOZ67sc9XhSVsE8ib4tOj06NGJR5i50VGKypvw4M6Axse8y6YJT3iKSxYTVtG5W/cdLvifiU9pTopdGsfY3RZc0n13sGaAD9sRqnw5tvoQZKoD0CU353zVndpdHNUezbIJ+BvvtP6/sksOU/q+2zW7RaAhKQQIMEpn6V06DpmiQBCUhAAvMkoMOYJ23rkoAEJNAxAR1Gx52n6RKQgATmSUCHMU/a1iUBCUigYwI6jI47T9MlIAEJzJOADmOetK1LAhKQQMcEdBgdd56mS0ACEpgnAR3GPGlblwQkIIGOCegwOu48TZeABCQwTwI6jHnSti4JSEACHRPQYXTceZouAQlIYJ4EdBjzpG1dEpCABDomoMPouPM0XQISkMA8Cegw5knbuiQgAQl0TECH0XHnaboEJCCBeRLQYcyTtnVJQAIS6JiADqPjztN0CUhAAvMkoMOYJ23rkoAEJNAxAR1Gx52n6RKQgATmSUCHMU/a1iUBCUigYwI6jI47T9MlIAEJzJOADmOetK1LAhKQQMcEdBgdd56mS0ACEpgnAR3GPGlblwQkIIGOCegwOu48TZeABCQwTwI6jHnSti4JSEACHRPQYXTceZouAQlIYJ4EdBjzpG1dEpCABDomoMPouPM0XQISkMA8Cegw5knbuiQgAQl0TECH0XHnaboEJCCBeRLQYcyTtnVJQAIS6JiADqPjztN0CUhAAvMkoMOYJ23rkoAEJNAxAR1Gx52n6RKQgATmSUCHMU/a1iUBCUigYwI6jI47T9MlIAEJzJOADmOetK1LAhKQQMcEdBgdd56mS0ACEpgnAR3GPGlblwQkIIGOCegwOu48TZeABCQwTwI6jHnSti4JSEACHRPQYXTceZouAQlIYJ4EdBjzpG1dEpCABDomoMPouPM0XQISkMA8Cegw5knbuiQgAQl0TECH0XHnaboEJCCBeRLQYcyTtnVJQAIS6JiADqPjztN0CUhAAvMkoMOYJ23rkoAEJNAxAR1Gx52n6RKQgATmSUCHMU/a1iUBCUigYwI6jI47T9MlIAEJzJOADmOetK1LAhKQQMcEdBgdd56mS0ACEpgnAR3GNNqHpNgZ0fbogGmXWEoCEpCABBZNgEF7rXCVnGRw/0FEWeLo+9GZ0RuibdFGw/VzwaIdxqViwyOiD0QnRp+PPhzdf0ZjDhzsxeZan5lRtres9Z6Buj1/ksQHo09GX4k+Gv1xbw3WXgk0QGAjv7sGzN1pwlSjX5ni54+svmPS50afiy66wRa14DDuF5t/Et29sv0vEofJo0ftwWG8MeJY656jcj0mpz4DT0jjPhHtNTTyEjm+JXpxj43WZgksmMDU392Czbxg9VONnuUwuBMzDO6x9wZb1YrD+LcZduMAvzjKx0k8fkbZrZA15Rm4QRqKc735qMHXmpG3FZjYBgnsagLbl3EP42ID1XrQYbbBPsXJ0UnRKRFvp1NmITiSt0anRSx5vC+6bVTClxOhru9Gb6/y35X4y6v0mxM/J/pWtF+VX0e5/gEzzp2VvCvMyF/mrIem8WdH4yW4r87IW2ZOtl0CW5rAlLdLAIxnGDgKlmPOi5hl1OFZSbDHUd5Gb5j4N6PDqkKzZhgsdXwjYuAvzvexibMUduvqWpzGq6r0nkMZBvraKR2VNPVsNOCojhhdxAwDB/PuiEHz+Oi50VZwLFOegWPSVvSQ6EMRLwLsZbCnYZCABDZOYMrvbuN33cVXTDUah0HZlUG8vf80YuC+TGXj1RNn6eIFVR7Rp0c4l8sP+bMcBmvhP4quWF2L41iJGPxLeF4iX4+KU2GT+oQI+4pjuVzi47fhX9xgjchdcw4Hte+oDDMRHAbtI1wvYuOXzfK6/cPprg5TnoEvpUXsVx0XXTWC/Z9GP4/G+z1dNV5jJbAgAlN+dwsybfVqpxo9nmFwRwZN3jp5I2ctm/DgiHs+aEiXA4M6+fcaMmY5DN5avzC6jiRv+z+OdhvO3TlH7nW7If2aHO8W/TB66pCHHc8c4lMPV0pBZi+PnHgBS2XYwfJbz2HKM3DG0NbfHjX0P5Jm2a8sTfbMQdslME8CS7eHweD619F1oycNpK88HJlhrFQi/b2It9PVAtf+14yT30nexSNmDQQ+g6XcvSMGqt+J3juIPMJ9o3qPY8he9cCy1juif45wjlPCJ1LoZxGOY6sHZpQ4Fpbi6vDpJHC0PAMGCUhgAwTKG/AGLum+KEsVhBsPR942CY+KNjJgcw3X1stRO++0M49lLhwOgaUwNrnvE70z4m8BGLip7xURX2zdMvpINCXgLLgfb8v1Pkt9LX+Pwj5MHRhA0TK8XTP7+81o/OEC3AnL+MHH0HQPEtgcgWX80Vx7QMWeAuHYiMH9pkO6HJghvD66xii/TjJLYLDnjbUEBqhbRe+PcBQl4BxwUo+JimNihsAA/pyIjVnW19cLl04BnM6REfssJbw6kbJfQd7HI5bR6kAbeUn41Ch/Kyb/fWjUTUaNY6+HGSCzTYMEJLDFCUxZvwbBrD0MBnYGa94y9684PS1xPsFkMCEwqD47OnpIc2Dwpe4DqrzylRSzhOJ8D06cTej6KykuuWzEvgbnmCGUwGyD+96vylstirPAETETOXAkZk7bqgtXEueP1LiGwEyIDWD+2r0sww2nujtMeQZw+HxEwMcHewwtvEuOvBy46d1dl2twAwSm/O4aMPOCJqxnNEsxK1FZwyaO2ARlVsFSTu0sktwRDor4ggh9NnpxVPYg2CTmeurmHi+KStgnkbdFp0enRsdEq/0dBYMX9dfh0CTOi8qgNjp9geQjksKG1bStKn2PxN8UsSl/QoR9r43KDKsq2l10vWegNIhn4fCh7SfnyP4FjtYgAQlsnMDU393G77wLr+jS6F3IYxlv7TOwjL1umxdNYOm+klo0cOuXgAQk0C2BZdz07razNFwCEpDAIgnoMBZJ37olIAEJdERAh9FRZ2mqBCQggUUS0GEskr51S0ACEuiIgA6jo87SVGFbRWUAACAASURBVAlIQAKLJKDDWCR965aABCTQEQEdRkedpakSkIAEFklAh7FI+tYtAQlIoCMCOoyOOktTJSABCSySgA5jkfStWwISkEBHBHQYHXWWpkpAAhJYJAEdxiLpW7cEJCCBjgjoMDrqLE2VgAQksEgCOoxF0rduCUhAAh0R0GF01FmaKgEJSGCRBHQYi6Rv3RKQgAQ6IqDD6KizNFUCEpDAIgnoMBZJ37olIAEJdERAh9FRZ2mqBCQggUUS0GEskr51S0ACEuiIgA6jo87SVAlIQAKLJKDDWCR965aABCTQEQEdRkedpakSkIAEFklAh7FI+tYtAQlIoCMCOoyOOktTJSABCSySgA5jkfStWwISkEBHBHQYHXWWpkpAAhJYJAEdxiLpW7cEJCCBjgjoMDrqLE2VgAQksEgCOoxF0rduCUhAAh0R0GF01FmaKgEJSGCRBHQYi6Rv3RKQgAQ6IqDD6KizNFUCEpDAIgnoMBZJ37olIAEJdERAh9FRZ2mqBCQggUUS0GEskr51S0ACEuiIgA6jo87SVAlIQAKLJKDDWCR965aABCTQEQEdRkedpakSkIAEFklAh7FI+tYtAQlIoCMCOoyOOktTJSABCSySgA5jkfStWwISkEBHBHQYHXWWpkpAAhJYJAEdxiLpW7cEJCCBjgjoMDrqLE2VgAQksEgCOoxF0rduCUhAAh0R0GF01FmaKgEJSGCRBHQYi6Rv3RKQgAQ6IqDD6KizNFUCEpDAIgnoMBZJ37olIAEJdERAh9FRZ2mqBCQggUUS0GEskr51S0ACEuiIgA6jo87SVAlIQAKLJKDDWCR965aABCTQEQEdRkedpakSkIAEFklAhzGN/iEpdka0PTpg2iWW6pTAG4d+3rdT+zVbAhKoCDBorxWukpMM7j+IKEscfT86M3pDtC3aaLh+LmjBYTwsdrwj+kx0fHRy9Kzo0tE43CgZR0ZfiE6JXhJdZlyow/R6zwBNYsB/aXRi9LkIBrT/apxcJdwu+dwb6TBWgWT20hKY8rtrDs5Uo18Zy88fWX/HpM+NGEAuusGWteIwvhW7D4suNth/gxzJ+/9G7bl60t+Injzk757jsdF7RuV6TE55BnCo74wuOzSQF4lPRqdGe85oNM/DR6J/j3QYMwCZtfQEpvzumoM01ehZDoPGMMPgHntvsGWtOIy3xe49RrbTVmZUtRN8QdJnR7tVZfdLnLbfY3R9b8kpzwAO4+ajht1/aP9DZjT4T5P3vuiRQxlnGDMgmbXUBLYv4x5GeTOvBx0GWvYpWN45KWL55gnRlFkIjuSt0WnRVyIGndtGJXw5Eer6bvT2Kv9dib+8Sr858XMiZgsM7KuFP8yJH45O8hb97ahuE4PjcdFPq7IfTRzHwrmtHm6TBuI06nDWkLjCKP9SSf99xDNgkIAEthCBKW+XNHc8w8BR3DM6L2KWUQf2ANjjKG+kN0z8mxFLPyXMmmHslZMs+zDwF+f72MRZCrv1Ly+9CE7jVVWaJRHKMIDVTumopKlnarh4Cv5ZhO04khKumAicaNc4sJb/sXFmZ+mpz8C4WQ9NBtfeZHTi0KQPH/KcYYypmZbATgKb/d0tlN9Uo3EYlF0ZxNs7b9sM3PXGL2v9P4lYwqnD05PAuVx+yJzlMF6ccz+KGKBLwHGsRAz+JTwvka9Hxanwhn9ChH3FsVwu8fEb8S9uMCPywuRhHw5rvMTCvgb3ZiAcB9bpcWA9h6nPQN1GHPMHo9eNGs4mOEt31xjydRg9PxnavisJbPklKQbzbYNwEswcrht9NrrWQPZOOe4WfXhIl8OnE2Gp4vaj/Dq5fxIMvt+pMn+e+Ceicl9OsRR11agsVd0ncZY/GPDvTYEE9hXePcSnHP4mhZipPCh6dlTPYKZcv2xlHpMG4/wfPWo4S1Evi8py1bJxsb0S2NIEpr5djpekChQ+NeUe/zRkHDSkectcqXRG4uw7PHwoN2uGwX7Dh4bz9YElKuq40pCJQ8KpPCNiaYx9Eo44EhwTgWUyPuvcTHhoLqK+PxguLktSz5xxs2VcknpgOHwxuuaIx82SPj2qPyJwhjHjoTFLAiGwnYFs2cKXhgbfeDgy6BMeFTGAbyRwbb0cVa4lj2Wu7w0ZLIWxyc3Mgk892Xz+WUR9r4j4YuuWEctFawWcDH3GzKkOZSnrVsnks1mcE39zMv4SjCWxa0dvvMDVWzvB8t/TortEvATU4a5JMIvEiZbArI1wZEQfPi761yHPgwQk0BmBX3eGcb20l3scMbSbNewfR08acWBD+fVRWdueNcMoexhlJsEtWCs/Nar3MMhn6Yh63xIxiBGomyUs8qYsKe2fcu/deekF/j0gKe6N0yvhhYl8LSpfhZHPkhjlWP7qOUx9Bv4ojTw5wkmWwBdoT1mj8c4w1oDjqaUmMPV31xSkqUbPWpJiYOetnrd7Bt8SeANlSWrfIYO3ePYFjv5lkR1fL1E3g3MJeyXCpjOzhLKhfXDi50f1V1KU59NXHBPnylss+cw2uO/9SKwTsBnb/7Qqx14MezLMKOrPRdnMx7ZDh7K753hMNHZkw+muDlOeAZwFe0RPjA6sRL8evkZrdRhrwPHUUhOY8rtrDtB6RvMXvSvRORFliaMzIr5UYmmodhZJ7ggHRScOYgBm9sCXSwQ2qLme+3GPF+3M3vHvPhF/TMda+KkRgzJvsbMCgzX114EBnYGtXkefdS152IMtbNB/Pjo+YjkFW3Fe48CyG0tUlDklemlUfyE2Lt9Ler1ngHbQH5SbpcNnNPT2yVuJWGbkGhww6Sn9kmIGCWx5AlN+d81B6NLo5ij2bZDPQN/9p/V9Etjyn9X22S1aLQEJSKBBAmXdvUHTNEkCEpCABFoioMNoqTe0RQISkEDDBHQYDXeOpklAAhJoiYAOo6Xe0BYJSEACDRPQYTTcOZomAQlIoCUCOoyWekNbJCABCTRMQIfRcOdomgQkIIGWCOgwWuoNbZGABCTQMAEdRsOdo2kSkIAEWiKgw2ipN7RFAhKQQMMEdBgNd46mSUACEmiJgA6jpd7QFglIQAINE9BhNNw5miYBCUigJQI6jJZ6Q1skIAEJNExAh9Fw52iaBCQggZYI6DBa6g1tkYAEJNAwAR1Gw52jaRKQgARaIqDDaKk3tEUCEpBAwwR0GA13jqZJQAISaImADqOl3tAWCUhAAg0T0GE03DmaJgEJSKAlAjqMlnpDWyQgAQk0TECH0XDnaJoEJCCBlgjoMFrqDW2RgAQk0DABHUbDnaNpEpCABFoioMNoqTe0RQISkEDDBHQYDXeOpklAAhJoiYAOo6Xe0BYJSEACDRPQYTTcOZomAQlIoCUCOoyWekNbJCABCTRMQIfRcOdomgQkIIGWCOgwWuoNbZGABCTQMAEdRsOdo2kSkIAEWiKgw2ipN7RFAhKQQMMEdBgNd46mSUACEmiJgA6jpd7QFglIQAINE9BhNNw5miYBCUigJQI6jJZ6Q1skIAEJNExAh9Fw52iaBCQggZYI6DBa6g1tkYAEJNAwAR1Gw52jaRKQgARaIqDDaKk3tEUCEpBAwwR0GA13jqZJQAISaImADqOl3tAWCUhAAg0T0GE03DmaJgEJSKAlAjqMlnpDWyQgAQk0TECH0XDnaJoEJCCBlgjoMFrqDW2RgAQk0DABHUbDnaNpEpCABFoioMNoqTe0RQISkEDDBHQYDXeOpklAAhJoiYAOo6Xe0BYJSEACDRPQYTTcOZomAQlIoCUCOoyWekNbJCABCTRMQIfRcOdomgQkIIGWCOgwpvXGISl2RrQ9OmDaJZZqjMAbh/7btzG7NEcCEtiFBBi01wpXyUkG9x9ElCWOvh+dGb0h2hZtNFw/F7TgMB4WO94RfSY6Pjo5elZ06agOByaBvWNxXe9hvWdg3L7bVRzGDuOaMxgVZpcf38i0BJaYwPbdtmDjv5k2MQi8MmLQJF7CHRN5Z8SgcdNoowNPdauFRZ+bml8e3Tf6WXSD6MPRtaI/HVn1r0njXOrwnVF6qycvmgb+48Bhtdkhjvc5M0Dw0mGQgAQ6JjB1kMdhnD+jncwwuMfeM86tldXKDONtMXKPkaG0lcGNwbEEnOXjR+W2SnLqM0B7caLvix4Zcd2sGca7twoY2yGBXUhg+zLuYVxsAFoPOgy07FOwvHNSdEr0hKgegFfrBxzJW6PToq9EDE63rQp/OXHq+m709ir/XYkzUyjhzYmcE30r2q/KH0f/MBk/HGVeNulvRxsZSMf33YrpS6VRfx/RtwYJSGAJCUwdFMczDBzFPaPzImYZdWAPgD2Omw+ZN8yRpa3DqkKzZhh75fw3Igb+4nwfmzgzm1tX1+I0XlWl9xzKnJVj7ZSOSpp6poaLp+CfRdiOI6kDMwwcFG/PZb+D5awrjMr1mJz6DByaxh0+NHCtGcbnUoZn4uMRLw3/Et14uM6DBCSwk8DU311TvKYajcOg7Mog3t5/GjFwX6Zq0dUT/0n0giqP6NMjnEvZ+JzlMF6c8z+Krlhdi+NYiRj8S3heIl+PilO5f+InRNhXHMvlEt/IhvQLUx77cFgPicbhAcnAYdA+wvWiT0YnRnX7h9NdHaY8A1dLi86OrjG0bDWHAR8cxq2GcszWXhudG91syPMgAQl0uoIxZbCgc8czDPIYNI+JWDpik5jw4Ih7PmhIlwODOvn3GjJmOQyWr74wuo7kEdGPo92Gc3fOkXvdbki/Jse7RSwtPXXIw45nDvGpB2ZN3Juvv+oZzGrXs1SGHb0v0Ux5Bv457fy7CsRqDmMWK/aIWOL791knzZPAkhKY8rtrDs1Uo2c5DBpzo4h7/NPQsoOGNG+jK5XOSJx9h4cP5WY5DPYbPjScrw8sUVHHlYZMHAdfJz0jYpDH0XBkBvDpoQxLIsWhDFmTDw9NSer7g3WuwA5mWeyX9BzWewaYGZwe1R8HbMRhwOb9EcuSBglIYCeBLflZ7Xqd+6WhQFmjZtAnPCqqN6XXuw/nubZejirXkMcy1/eGDAZpNrnvE/FZ70cjPomlvldEfLF1y+gj0VoBJ8OgzzJYHcpSFssq7xlO8Pco4wGPgRZxn60c7prGseFdz/7YNyIcGdE3j4v47JilQJb2mBHWgf7Z6pxGTTYpga1HYL23y9Li1WYYLEtxD5aNCKx1M1g8aUiXAxvKr4/KGvisGUbZwygzCa5lE/vUqN7DIJ8lL+p9S8RyF4G6fz7kTVlS2j9l3ztcWx8OSIJ74/RKWEkEm+twiyQoN27rqFjzyanPQN2Q1WYYh6cQ5+pwySTYG5rFelTUpASWhsBmfncLhzPV6FkOg4Gdt3reHhl8S3haIixJ7Ttk8Bb/7OjoXxbZMfhSN4NzCXslwsDCLKFsaB+c+PlR/ZUU5dlMxTFxrrztks9sg/vej8Q6AZux/U+rcuzFfDZiH6P+AmolaZzTpYeyzHqOG8pdecjr9TD1Gajbt5bDOCUFrzMUZlbBBxDMQu7YKyDtlsAuILCZ390uMGNjt1zPaJZiVqJzIsoSR2dEfKnE0lDtLJLcEQ6K+IIIMQAze2C5gsAmMddzP+7xop3ZO/7dJ+KP6VgzPzU6Jtpvx5lfDcw6qL8OhybBkki93v6rV+7MwR5s4S+7Px8dH7Hsgq04rzrcI4k3Def5Igv7+Prn2hcs1mVqvWegbtTtk1iJWD7kOhwr6cL7JonD73MRPL8asWx1h8ggAQn8ksBGfnfNcOvS6GbobQ1DfAa2Rj/air4ILOVfevfVRVorAQlIoBECZd29EXM0QwISkIAEWiWgw2i1Z7RLAhKQQGMEdBiNdYjmSEACEmiVgA6j1Z7RLglIQAKNEdBhNNYhmiMBCUigVQI6jFZ7RrskIAEJNEZAh9FYh2iOBCQggVYJ6DBa7RntkoAEJNAYAR1GYx2iORKQgARaJaDDaLVntEsCEpBAYwR0GI11iOZIQAISaJWADqPVntEuCUhAAo0R0GE01iGaIwEJSKBVAjqMVntGuyQgAQk0RkCH0ViHaI4EJCCBVgnoMFrtGe2SgAQk0BgBHUZjHaI5EpCABFoloMNotWe0SwISkEBjBHQYjXWI5khAAhJolYAOo9We0S4JSEACjRHQYTTWIZojAQlIoFUCOoxWe0a7JCABCTRGQIfRWIdojgQkIIFWCegwWu0Z7ZKABCTQGAEdRmMdojkSkIAEWiWgw2i1Z7RLAhKQQGMEdBiNdYjmSEACEmiVgA6j1Z7RLglIQAKNEdBhNNYhmiMBCUigVQI6jFZ7RrskIAEJNEZAh9FYh2iOBCQggVYJ6DBa7RntkoAEJNAYAR1GYx2iORKQgARaJaDDaLVntEsCEpBAYwR0GI11iOZIQAISaJWADqPVntEuCUhAAo0R0GE01iGaIwEJSKBVAjqMVntGuyQgAQk0RkCH0ViHaI4EJCCBVgnoMFrtGe2SgAQk0BgBHUZjHaI5EpCABFoloMNotWe0SwISkEBjBHQYjXWI5khAAhJolYAOo9We0S4JSEACjRHQYTTWIZojAQlIoFUCOoxWe0a7JCABCTRGQIfRWIdojgQkIIFWCegwWu0Z7ZKABCTQGAEdRmMdojkSkIAEWiWgw2i1Z7RLAhKQQGMEdBiNdYjmSEACEmiVgA6j1Z7RLglIQAKNEdBhNNYhmiMBCUigVQI6jFZ7RrskIAEJNEZAh9FYh2iOBCQggVYJ6DCm9cwhKXZGtD06YNolcyn1W6nlp9ERc6nNSiQgAQl0RoBBe61wlZxkcP9BRFni6PvRmdEbom3RRsP1c0FrDuPIwabVHMaNcp4yX4hOiV4SXWajDW+w/HrPACa/LqLcatqjatdtEy+cPpf4x6I/rs4blYAEdv6WuuMwZbCgUa+Mzh+17o5JnxsxKFx0gy1vzWHcM/Z/MsIJznIYV0/+N6InD+3cPcdjo/cM6Z4PU54BHMazowNH4oXhw1Xj90mcZwJnWmbcf5E4ddynKmdUAstOYMrvrjlGU42e5TBoDAMG99h7gy1ryWHsFts/H90pYvY0y2G8IPlnR5QtYb9EaPs9qrweo1OegWekYbef0bhPJO/Pq/yDBybXHZXF2b5+xvVmSWBZCWxfxj2Miw29XQ86zDbYpzg5Oili+eYJ0ZRZCI7krdFp0Vei90UscZTw5USo67vR26v8dyX+8ir95sTPib4VMbCvFf4yJ7Hx/WsUun/OHRexx1HCRxNhqY5zWz3Qfx8aNfLWSeMY3lTlFz61Y+U0z8nPRteblIAEOiMw5e2SJo1nGAwALOOcFzHLqMOzkmCP4+ZD5g1z/GZ0WFVo1gxjr5znTZSBvzjfxybOUhiDUwk4jVdV6T2HMmflWDulo5KmnrXC5XKS61hKIcyaYVwx+XCiXePAfgZr9D2Hqc/AuI3/nIznjjJh9cWI2QTLdvTj4yIc/C1GZU1KYJkJbPZ3t1BmU43GYVB2ZRBv77xNMnDXG7+s9f8kYgmnDk9PAudy+SFzlsN4cc79KGLQKYEBZyVi8C/heYl8PSpOhTf8EyLsK44FR/CZX1yxeoQB7/nV6VkO4wbDvQ+dcZuPJA8H1nOY+gzUbaQf2asojrY+d+0kjo3o729HOJDb1QWMS0ACF9nyS1IM5tsG4SSYObAk8dnoWsMDcKccWY6oN0I59enoUtGsdfDh0ovsnwiD73dKRo4/j1gnL/flFEtRV43KUhWbqSyBMUDdmwIJ7Cu8e4ivdrheTjwkeupqBcxflcBDc+Y/I5xBHfZNgqU6PiDAqfCV3dOi90b3qwsal4AE+iMw9e1yvCRVWnqjRLjHPw0ZBw1pNohXKvHmzrLEw4dys2YY7DeM18kpzhIVdVxpuBaHhFN5RsTSGPskHHEkOCYCy2TrvdW+JWUeM5Qvh1kzjLIk9cxRWZLLuiR1Ytr+RzN40Adfi8reVinCHhPPhEECEthJYOrY2xSvqUav5jAuntZwjw8MrXrwkF7vE8pZDoOBn4FoHI5Ixo8jHEUJrJHzZdPvRq8ZMh+ZI7bwxRYb7ut9hICDOj1aqcQyGxvZ5PEGXQKOpN7cJZ/7sywDm57D1GegtPHOiZwZ1f1Rzp2ayAdnwGCJknp+Y8Y5sySwjAS2/JLUrE5lvZrAngLh2Ig9jJsO6XLAsTDIX2OUXydZtmCwLzMJzrGJfavo/RGDeQm8yd44YoZAnPCOiEHpOREzFZaz1gpXzkns31aJt2Dehsmrv67iyy2cU/3mfJukLx0xU1mm8FdpLE6y7o/Sfj5agCn9VofrJMGSJrNMgwQk0CmBqW+Xs2YYDOwM1nwuuX/VftasGXhZzybwJvrs6OghzWHWDGOv5DPgvCIqs4ODEx9/JcX1l42YdXBuTzKGwPo5bdrsejkzCWY048BmPraVjW++ADomOmpcsMP01GeApl0tYq/omqu088+Sz/0eV52/W+I4lxeuco3ZElhGAhv53TXDZz2j2bRcifgqirLEEQMrswrexmtnkeSOwF4Gy0uITXG+gOLLJQIb1FzP/bjHi3Zm7/iXr27eFrFUdGrEoFy/6e8oNAQGa+qvAwM6A9oeo/z1kvzdxkrEwFaWpJ44uogZzXui8l+DvDTx+guxUfFukus9A3VDnpTEv63TMj48OC6i7/l6jX2lR0e8OBgkIIGdBDbyu2uGWZdGN0NvaxjiM7A1+tFW9EVgKfcw+uoirZWABCTQCIH1vsppxEzNkIAEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GonvA+iUgAQl0QkCH0UlHaaYEJCCBRRPQYSy6B6xfAhKQQCcEdBiddJRmSkACElg0AR3GtB44JMXOiLZHB0y7ZC6lfiu1/DQ6Yi61WYkEJCCBzggwaK8VrpKTDO4/iChLHH0/OjN6Q7Qt2mi4fi5ozWEcOdg0y2EcOJzD5lqf2WjDGyy/3jNQTL5tIjD6QvS56GPRH89ozx2Sd3T05Wgleld04xnlzJLAMhOY+rtritFUo18Zq88fWX7HpM+NGDwuusFWteYw7hn7PxnhBFdzGG/MORxHLa7rPUx5BvZJI+nrl0RlJv0XiXPtfSoAt0/8x9Hjhjyei+dF34quVZUzKoFlJzDld9cco6lGz3IYNIYZBvfYe4Mta8lh7BbbPx/dKWL2tJrDePwG29hL8SnPwMFpDOWuO2rUN5J+fZV3VOKnR/Xy7KWTZkb6stG1JiWwzAS2L+MexsWGHq8HHd4q2ac4OTopOiV6QjRlFoIjeWt0WvSV6H0RSyElsMxBXd+N3l7ls+zx8ir95sTPiXiz3a/KnxX9y2Ri4/tnnTRvBwH2dgg41zrQ/z+rMm6VOEtWP6/yWM6k3+qZSH0P4xKQQCcEprxd0pTxDIOBguWY8yJmGXV4VhK8Ud58yLxhjt+MDqsKzZph7JXzvLEy8Bfn+9jEWQq7dXUtg8+rqvSeQ5mzcqydEm+71LNWuFxOch1LLoS1Zhg4qHdH7FscHz03usKOq/oOU56BK6aJX4yYTewe0T8sO+G4b1E1/6uJw30cWO6jnsuOT5iWwJISmPK7aw7NVKNxGJRdGcTbO2+dDNyXqVp19cR/Er2gyiP69Ajncvkhf5bDeHHO/ShicCqBgWklqgch1sS/HhWncv/ET4iwrzgWHMGUDWkG/edHJazmMB6QAjgM2ke4XsQgeGJUt3843dVh6jNw7bTq2Ih+/HaEA7ndqKUw+lp08Sq/LElRzzVH5U1KYFkJTP3dNcVnqtHjGQaNYNA8JmLpqGxoPjhx7vmgUSsZ1Mm/15A/y2GwfMVyxjiwp8BGalkOuXPi3KsMVq9J/G7RD6OnDhdjxzOH+GoH7Gdwqx3Uag5j1j1YKsMOlt96DlOegX3TQFj9Q3TJCGf95xHM71c1nlklfYUjvkR0qehlES8Y1HOlyCABCez8PXTHYcpgQaNmOQzybxRxj38aWn7QkD47x5VKDMQsXzx8KDfLYbDf8KHhfH1giaoebHAc34meEbE0hqPhyNvtpyPCG6Lx2+9w6heHtyT2mFHmRhwGdjDLYr+k5zDlGSgzBzjXgb0j+roOd0jinREzEGZh7F8xK+Qrq2Xc56vZGJdAITDld9ccralGr+YwWHrgHh8YWlZmGOttcM5yGAz8LPGMw3iGwXnW0vmy6XcjZhiE2OWylQAAHLdJREFUR0bYsnfEhvt6gxMO6vRopRIOgE1a8v4zKuEqVbxEGTxZfmOTvucw5Rk4NQ384IxGsvTI9b8x41ydhXN+7zplPC2BZSKwlF9Jsa5NYE+BcGzEIHrTIV0OOBYG+WuM8uskAwqDfb1swSY2X97wBRODeQm88fLHYMwQiBPeETF4PSdiplJ/qbOzxAX/vXKS2L+tEm/LvDWTV39d9fGkcXJ1oI3MMj41yt+KST5GgBX9UYfrJMG+E7NHAmVuNsTLgT2MO0evGOWblIAEOiMw5e2SJs2aYTCwM1jzWeX+VbufljgDL+veBAbVZ0dHD2kOs2YYeyWfgYmBpcwODk78/Kj+Sorr+dqGtXLO7UnGED6aI22q19Wr0+tGz0gJZjTjsJIM3pIZ/AjsexwXnRnheHoOU56BP0sDKfe4qqF3Sxwn/sIq78DEmSXCh7BH9LrobUPagwQksJPAlN9dc6zWM5qlmJWobFoSRwyszCp4G6+dRZI7AnsZDBzosxFfQPHlEoFNYq6nbu7xop3ZO/7dJ2JwYano1OiYqH7T31FoCHw5Rf11ODSJ8yIGqo0E9iFWonpJ6onVDe6R+JsiNuX5Igv7XhuVGVZVtLvoes9AadC9E8FJ0qcwYL/o0REvBCXcMhFmiqdFn4nKHgYzTIMEJPBLAlN/d00x69Lopgj2b4zPQP99aAv6I7CUexj9dZMWS0ACEmiAQFl3b8AUTZCABCQggZYJ6DBa7h1tk4AEJNAQAR1GQ52hKRKQgARaJqDDaLl3tE0CEpBAQwR0GA11hqZIQAISaJmADqPl3tE2CUhAAg0R0GE01BmaIgEJSKBlAjqMlntH2yQgAQk0RECH0VBnaIoEJCCBlgnoMFruHW2TgAQk0BABHUZDnaEpEpCABFomoMNouXe0TQISkEBDBHQYDXWGpkhAAhJomYAOo+Xe0TYJSEACDRHQYTTUGZoiAQlIoGUCOoyWe0fbJCABCTREQIfRUGdoigQkIIGWCegwWu4dbZOABCTQEAEdRkOdoSkSkIAEWiagw2i5d7RNAhKQQEMEdBgNdYamSEACEmiZgA6j5d7RNglIQAINEdBhNNQZmiIBCUigZQI6jJZ7R9skIAEJNERAh9FQZ2iKBCQggZYJ6DBa7h1tk4AEJNAQAR1GQ52hKRKQgARaJqDDaLl3tE0CEpBAQwR0GA11hqZIQAISaJmADqPl3tE2CUhAAg0R0GE01BmaIgEJSKBlAjqMlntH2yQgAQk0RECH0VBnaIoEJCCBlgnoMFruHW2TgAQk0BABHUZDnaEpEpCABFomoMNouXe0TQISkEBDBHQYDXWGpkhAAhJomYAOo+Xe0TYJSEACDRHQYTTUGZoiAQlIoGUCOoyWe0fbJCABCTREQIfRUGdoigQkIIGWCegwWu4dbZOABCTQEAEdRkOdoSkSkIAEWiagw2i5d7RNAhKQQEMEdBgNdYamSEACEmiZgA6j5d7RNglIQAINEdBhNNQZmiIBCUigZQI6jJZ7R9skIAEJNERAh9FQZ2iKBCQggZYJ6DBa7h1tk4AEJNAQAR1GQ52hKRKQgARaJqDDaLl3tE0CEpBAQwR0GA11hqZIQAISaJmADqPl3tE2CUhAAg0R0GE01BmaIgEJSKBlAjqMab1zSIqdEW2PDph2iaUkIAEJSGDRBBi01wpXyUkG9x9ElCWOvh+dGb0h2hZtNFw/F7TgMF452IEttZ4/o0E3St6R0ReiU6KXRJeZUa63rPWegdKeOyRydPTlaCV6V3TjUWP3Tfql0YnR5yJYwelqo3ImJbDsBKb+7priNNVoBtbzR5bfMelzIwaGi26wVS05jKfE9gNHutWoPVdP+hvRk4f83XM8NnrPqFyPySnPwO3TsB9HjxsaSH8/L/pWdK2q0Z9J/J3RZYc8Xjg+GZ0a7VmVMyqBZScw5XfXHKOpRs9yGDSGGQb32HuDLWvJYdx2gu0vSJmzo92qsvsNbb/HhOtbLjLlGTgqDTg9qpddL500M82XVY3DYdx81Nj7J00dDxnlm5TAMhPYvox7GBcberwedHj7ZJ/i5OikiOWbJ0RTZiE4krdGp0Vfid4X1QM6yyHU9d3o7VEJLI+8vEq/OfFzIt6AGdh/3cCgd1z00+pGH02cpTrObfXAjIvlpZ9XDaXt9Md9qrzbJI7TqMNZQ+IKo3yTEpBAZwSmvF3SpPEMA0dxz+i8iFlGHZ6VBG+e5U3zhol/MzqsKjRrhrFXzrPsw8BfnO9jE2cp7NbVtQxSr6rSLHVQhoGpdkq8FVPPWoF2Ud8HIgbE/4z+Jqqd/xWThhPtGgeu+dg4s7P0lGfgq2kTPMeB5SauL0tQ4/OkHzqUucmsk+ZJYEkJTPndNYdmqtFlc3glLUC8vfO2zcBdb/yy1v+TiCWcOjw9CZzL5YfMWQ7jxTn3o4gBugQG7pWoHqxYO/96VAZ13vBPiGhLcSyXS3z8ppusXwncC0e2R4Sz+f3o29HrqpI3SJx7H1rllehHEsGB9RymPAPM5r4WXbxqaFmS4vprrgIAph+Map6rFDVbAktFYMrvrjkgU40ezzBoyPWiYyKWjsrG54MT554PGrW0rGPfa8if5TBYvuKNfRyOSAYbrrsNJ+6cI3Xcbki/Jse7RT+MnjrkYcczh/hGD4/PBdyfZRiCDmPnbJE+eG50iehS0csiXhxgdaVoVvjbZOLMceAGCUjglwSWbg+DN+u/jq4bPWngcOXhyAxjpRLp70VXHc7POnDtf8048Z3k8WZbBh2Wjyh374ilsd+J3juIPMJ9o3qPY8iedGBvglD2TtgHIcz6hJalGGYkWz0wW2P2xWe0n48+FLHPxIsEexmz+u2Byef5uHtE3xskIIGKQHkDXiYoXxoay0BCKIProxLf6IDNtfVy1HDLHXksc5VBh6UwNrnZbH1nxAD/s4j6XhHtHd0yYrlorYCzwQnhkOrAvQhlQ5/z/M0J960DS2LXjt44yt+qSZaW2Leqw1uSgHO9Gc55ZpRPi+4SnVFfYFwCEthJoKypLxMPBkwCewqEYyMG95sO6XJghvD66Bqj/DrJLIFBuV7eYA2cpaH3RziKEnAOOKnHRMUxvSNxlkeeE/EGPB7EyrXlyDLa8ePMpMtS1Keqc29N/Hej4kQ4xRdBrOMzaG71QD/fbNRI2s7yIE66Dn+UBPtCd41OH07wpdpTLljMlAQk0BuBX2cPg4GdwZo38v2rhvNmyd8s7DvkMfN6dnR0VWbWHsZeOf+NiAGoON+DEx9/JcVtWApiTZ1zfCVVArMN2nS/Km+16LahLH+MhmMi3CRic/fIIV0ObOZjW9n43j3xY6KjRuV6TE55Bg5Mw06Mrjg0cI8cXxe9bdRgnAUfNzwx4poi+v/wUVmTElhmAlN+d83xWc9o/lJ3JSqbm8QRywzMKlgaqp1FkjvCQREDDPpsxBdQZQ/ikMS5nrq5x4uiEvZJhEGIN9NTIwbl1f6OgsGa+uvAgM6AxYC2XmDzlqUzHBnr8my6fzH6+wiHMA7MaN4TsTF/SvTSaNa+xvi61tPrPQPYf8uIGSD7FuxnfDLib2uYOdaBfuN+s3T4qKxJCSwzgSm/u+b4dGl0cxT7NshnoO/+0/o+CSzdV1J9dpNWS0ACEmiAwDJuejeAXRMkIAEJ9EdAh9Ffn2mxBCQggYUQ0GEsBLuVSkACEuiPgA6jvz7TYglIQAILIaDDWAh2K5WABCTQHwEdRn99psUSkIAEFkJAh7EQ7FYqAQlIoD8COoz++kyLJSABCSyEgA5jIditVAISkEB/BHQY/fWZFktAAhJYCAEdxkKwW6kEJCCB/gjoMPrrMy2WgAQksBACOoyFYLdSCUhAAv0R0GH012daLAEJSGAhBHQYC8FupRKQgAT6I6DD6K/PtFgCEpDAQgjoMBaC3UolIAEJ9EdAh9Ffn2mxBCQggYUQ0GEsBLuVSkACEuiPgA6jvz7TYglIQAILIaDDWAh2K5WABCTQHwEdRn99psUSkIAEFkJAh7EQ7FYqAQlIoD8COoz++kyLJSABCSyEgA5jIditVAISkEB/BHQY/fWZFktAAhJYCAEdxkKwW6kEJCCB/gjoMPrrMy2WgAQksBACOoyFYLdSCUhAAv0R0GH012daLAEJSGAhBHQYC8FupRKQgAT6I6DD6K/PtFgCEpDAQgjoMBaC3UolIAEJ9EdAh9Ffn2mxBCQggYUQ0GEsBLuVSkACEuiPgA6jvz7TYglIQAILIaDDWAh2K5WABCTQHwEdRn99psUSkIAEFkJAh7EQ7FYqAQlIoD8COoz++kyLJSABCSyEgA5jIditVAISkEB/BHQY/fWZFktAAhJYCAEdxkKwW6kEJCCB/gjoMPrrMy2WgAQksBACOoyFYLdSCUhAAv0R0GH012daLAEJSGAhBHQYC8FupRKQgAT6I6DD6K/PtFgCEpDAQgjoMBaC3UolIAEJ9EdAh9Ffn2mxBCQggYUQ0GEsBLuVSkACEuiPgA6jvz7TYglIQAILIaDDWAh2K5WABCTQHwEdRn99psUSkIAEFkJAh7EQ7FYqAQlIoD8COoxpfXZIip0RbY8OmHaJpSQgAQlIYNEEGLTXClfJSQb3H0SUJY6+H50ZvSHaFm00XD8XtOAwXjnYgS21nj9q0IGrlPvMRhveYPn1noFi8h0SOTr6crQSvSu68Yz23DZ5R0ZfiD4XfSz64xnlzJLAMhPYvtsWbP0306ZrRgysDJrES7hjIu+M9o1uGk0deKpbNBH9u1jBIFiHE2dY9q/Je8co/zszym3FrNunUe+Lnhw9K7po9I/RcdEtoq9GhH2i90avje4R/Tz6i+hN0X2jt0cGCUigUwJTB3kcxvkz2sgMg3vsPePcWlktzTB4I14v4Cwfv16hTs9PeQaOSttOj+pl10snzUzzZVW7D06c+113xOIbSb9+lGdSAstMYPsy7mFcbOjxetDh7ZN9ipOjk6JToidE5K8XcCRvjU6LvhLxVlsP6MwEqOu7Uf22yvLIy6MS3pzIOdG3ov2qfKObI3CrXMYSEzOGElimpD/uU+X9dIiPZ9s8Jz+ryhmVgAQ6JDDl7ZJmjWcYDAD3jM6LmGXUgSUL3jxvPmTeMEeWtg6rCs2aYeyV87yJMvAX5/vYxJnZ3Lq6lkHqVVV6z6HMWTnWTom3YupZK9Au6vtAxID4n9HfRGPnzwwDB/XuiH2L46PnRleIeg9TngGWnOA5Dp9MBtdfdjhxxRy/GDGb2D2C4+MiHDxLVwYJSGAngSm/u+ZYTTWagZWyK4N4e+dtkoH7MlWrrp74T6IXVHlEnx7hXC4/5M9yGC/OuR9FDDolMOCsRPVg9bykvx6VQf3+iZ8QYV9xLJdLfMqGNPfCke0R4Wx+P/p29LqoDg9IAodB+wjXixgs2euo2z+c7uow5Rmg7V+LLl61rCxJcf01q/xrJ35sRH/DEgdyu+q8UQlIoNM93ymDBZ07nmGQx6B5TMTS0bWGJ+DBOXLPBw3pcmBQJ/9eQ8Ysh8HyFW/543BEMn4clWWOOyfOvcog9JrE7xb9MHrqcDF2PHOIb/Tw+FzA/VmGWSuwVEY5lt96DlOeAWaL9AGzqktEl4peFvHiwPVXigh8AIFj+YfokhFO/c8j+uZ+kUECEthJYMrvrjlWU42e5TBozI0i7vFPQ8sOGtJn57hS6YzEWZZ4+FBulsNgv+FDw/n6wJJRPSjhOPg66RkRS2M4Go68BX86Irwh2uxbbXFIjx7utdoBO5hlsV/Sc5j6DNwhjeSrOGYMzK7Yl2KGdm5UZntlJkJ/1IE9Jp4JgwQksJPAlvysdr3O/dJQoHyPz6BPeFTE4LGRwLX1clS5ljyWub43ZDBIMwCx2coA9tGIDVXqe0W0d3TL6CPRWoFBjaWr8aexZXO2HvT4exT2YerAQIvGg+Oo2JZJfjAtYd+qDm9JAs5lM/wmibPHNN7gPiV5d49+I2I50SCBpSdQ3rKWCQTr1YQyCBybOIP7TYf8cmDtm43Qa4zy6+R7k2CwL8sbnGNfgaWh90c4ihJwDjipx0TFMfE3Egzgz4mYqdRf9JTr6iPLaMfPOFGWoj5Vnft44syK6kAbmWXU5UZFtkySfr7ZqDXsYTAbw0mXwEcLlKXf6nCdJNifYpZpkIAEOiUwdTli1pIUAzuDNW+T+1ftf1riLD+wnk1gUH12dPSQ5jBrSWqv5DPgMAAV53tw4udH9VdSXM9XOaypc25PMobAbIM2TVkv3zaU5SueMsDxhswa/JHD/cphJRHephkkCcx6jovOjK485PV6mPIMHJjGscFPuwl8JPC66G1Duhz+LBHuB9MS2F/C2b+wyjMqgWUnMOV31xyj9YxmKWYlKpubxNEZEbMKloZqZ5HkjsBeBgMM+mzEF1As/xDYJOZ66uYeL9qZvePffSIGodOjU6NjotX+juKonKP+OhyaxHkRA9p6gc1bls5wZJ+P2Av5YvT30e6ji++R9JsiNuX5Igv7XhuVGdaoeFfJ9Z4BGnPLiBngaRFfn5U9jPqrqdLoeyeCM6XvYcW+EvtBvDgYJCCBnQSm/O6aY9Wl0c1R7Nsgn4G++0/r+ySwlH/p3WdXabUEJCCBBRNYxk3vBSO3eglIQAJ9EtBh9NlvWi0BCUhg7gR0GHNHboUSkIAE+iSgw+iz37RaAhKQwNwJ6DDmjtwKJSABCfRJQIfRZ79ptQQkIIG5E9BhzB25FUpAAhLok4AOo89+02oJSEACcyegw5g7ciuUgAQk0CcBHUaf/abVEpCABOZOQIcxd+RWKAEJSKBPAjqMPvtNqyUgAQnMnYAOY+7IrVACEpBAnwR0GH32m1ZLQAISmDsBHcbckVuhBCQggT4J6DD67DetloAEJDB3AjqMuSO3QglIQAJ9EtBh9NlvWi0BCUhg7gR0GHNHboUSkIAE+iSgw+iz37RaAhKQwNwJ6DDmjtwKJSABCfRJQIfRZ79ptQQkIIG5E9BhzB25FUpAAhLok4AOo89+02oJSEACcyegw5g7ciuUgAQk0CcBHUaf/abVEpCABOZOQIcxd+RWKAEJSKBPAjqMPvtNqyUgAQnMnYAOY+7IrVACEpBAnwR0GH32m1ZLQAISmDsBHcbckVuhBCQggT4J6DD67DetloAEJDB3AjqMuSO3QglIQAJ9EtBh9NlvWi0BCUhg7gR0GHNHboUSkIAE+iSgw+iz37RaAhKQwNwJ6DDmjtwKJSABCfRJQIfRZ79ptQQkIIG5E9BhzB25FUpAAhLok4AOo89+02oJSEACcyegw5g7ciuUgAQk0CcBHUaf/abVEpCABOZOQIcxd+RWKAEJSKBPAjqMPvtNqyUgAQnMnYAOY+7IrVACEpBAnwR0GH32m1ZLQAISmDsBHcbckVuhBCQggT4J6DD67DetloAEJDB3AjqMuSO3QglIQAJ9EtBh9NlvWi0BCUhg7gR0GHNHboUSkIAE+iSgw+iz37RaAhKQwNwJ6DDmjtwKJSABCfRJQIfRZ79ptQQkIIG5E9BhzB25FUpAAhLok4AOY1q/HZJiZ0TbowOmXWKpRghcJ3Z8YOi/RkzSDAlIYF4EGLTXClfJSQb3H0SUJY6+H50ZvSHaFm00XD8XtOIwrhZbXh59JvpcdGpEu/YYNepGSR8ZfSE6JXpJdJlRmR6T6z0DpU0PTmQl+nLEM7BauHxOvCI6OTox+o9onxmFecF6XATP46OPR3efUc4sCWxFAlN/d021farRr4zV548sv2PS50YMshfdYKtacRg4CxzEX1Zt+J3EfxJduWrT1RP/RvTkIW/3HI+N3lOV6TU65Rm45NDea+d4RLSaw+A5OC56Z8Q1pJ8V8XLBy0cdnp7E6dFeQ+a9cvxxdKcLFjMlgS1JYMrvrrmGTzV6lsOgMbyJc4+9N9iyVhzGa2L3v82w/W7Ju0SV/4LEz452q/L2S5y232PG9T1lTXkGGPjLkutaDuMPByb7VgAulfj3IhxHCTjqH0UHVXlEmcF9dJRnUgJbkcD2ZdzDuNjQk/Wgw+DCPgVLEidFLN88IZoyC8GRvDU6LfpK9L7otlEJLIdQ13ejt1f570qcZaUS3pzIOdG3Igb2WYHlpAdF9X1KOQYu3nZLuH8ivDn/tMpjYGOpjnNbPcD85xMaCYtvRidUZZmZfjiqObF3hUOmf+tA+jbRNUf5JiUggQYITHm7xMzxDANHcc/ovIhZRh14k2SP4+ZD5g1zZBA5rCo0a4bB0gTLPgz8xfk+NnEGnFtX1+I0XlWl9xzKnJVj7ZSOSpp6Vgt3ygna/yfRP0csreHkqP/q1UVXHMrVb8jlNOvvH6vK9hid+gyUtq01w2AvYtYMgf0eHM6lh5u8MEfq3X0E7IFDPs+WQQJbmcCWn2GwJr0yqLzh4yweVfUqA+3B0asjNpEJDML/FP1txIboauEJOXG56PFReZv9x8RZCqqdDTMC1ruLU2H56EsRdf92ROA+rJmTv1q41nAC23AuN4t+N7px9MHossP5speBExwH8q40zlziNKxW44Qzx/kSKMdsjReOOpRrZToCY3LrEdjqS1I/SpdtG8RyDjOH60afjcrgy1s76/wsQdTh00mwln37UX6d3D8JZg/fqTJxHJ+Iyn05hcO4alSWqu6T+CERg8+9KZDAvsK7h/hqB+whsNT0xoi6mOHg2NiTeTgnDRKQgAR2BYGt7jDGzBjc/zrCaTxpOFnextkkXqlEmo1PBvrVAtf+14yTOJCLR8waCPwdAOVwDiyN8VXTewcVh3HfpHEsa4VzhpNlJlTKkma5pCyDsQ9CmPUJLbOQbw/nPezcM1qNE0zLywBMebEoTruwK7M6mfo0bXkCy+Yw6NCy5MMyDqEMrixTbavEJibLUSxVrRa4tixZ1GXI4zNXHA6BpQw2uZlZ3C5izfxnEQ6CfRNmB7eMPhKtFdiQJ4z7jYENlXwGOT4L5b514Py1o+NH+cuchMWYEzx4qfhKxEcChMJsXJZy9fkh6UECW4/AeODZei381RYxYBK+PhyPzZHB/aZDuhyYIbw+usYov04yS2AAqdevWfe+VfT+CEdRAs4BJ/WYiDjhHRED/XOiD0VlH2Tn2V/9l0HrtGhs642SR1/yh2QlvDUR9jfKV2Hk8zUPm7hv+UUpI3Bi7+i3KhTsfe034kRf8RXanUfISPMRwRmjfJMSkEADBBhgp4RXphBfK9WBgZ3Bmrd79h9KeFoibFTvO2Sw9PDs6OhfFtnx9RJ1H1Dlla+kXpG84nwPTnz8lRSXsHTBgMO5Pat7MNvgvver8taK8lUOjujuQyG+2nlnxHJbWR7hFBvq7G8cWpU7JnE2y3sPU5+B0s4jElltQMfBHxfx1918Nkt4RsQXbLP+cA+HXV4i2HeiT++04yqDBLY2gY3+7pqgsZ7R/MhXItb7KUscMWAwq2BpqHYWSe4IB0UnDmJT/MVR2YNgg5rruR/3eFFUAv+FxNui06NTIwZl3k5nBQZr6q8DAzqb33vMumCVPJwG+xYnRyvRayMcxDgwo3lP9IXolOil0az1+vF1rafXewaK/f+cyErEshJOlvinysnqyNIjLxgw4hnAAd9gRjleCvgijjLM9j4R4TQMElgGAlN/d02x6NLopgj2b4zPQP99aAv6I7Dl/w6jvy7RYglIQAKNEljGTe9Gu0KzJCABCbRNQIfRdv9onQQkIIFmCPCFSG/B9eveekx7JSABCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQAISkIAEJCABCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQAISkIAEJCABCSwRgf8DrcsmXgz82yYAAAAASUVORK5CYII=)
Answer:In this case, we are given less than (or below) cumulative frequency distribution,we need to convert it into normal frequency distribution.
So, we need to find class intervals and corresponding frequency.
Since, the difference between ages in each class is 5, we can take the first class interval as 15 - 20 and its frequency will be same as frequency of below 20 class.
Also, for other class, class interval will can be found as following and corresponding frequency can be find by subtracting the previous frequency from the cumulative frequency.
![](data:image/png;base64,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)
As per the question,
N=100
![](data:image/png;base64,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)
Hence,
Median class = 35-45
Cumulative frequency = 100
Lower limit, l = 35
cf = 45
f = 33
h = 5
Now,
Median can be calculated as:
![](data:image/png;base64,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)
where,
l = lower limit of median class
n = total frequency of the data
cf = cumulative frequency of the class before median class
f = frequency of the median class
![](data:image/png;base64,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)
Median = 35 + ![](data:image/png;base64,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)
Median = 35.75 years
Question 4.The lengths of 40 leaves of a plant are measured correct to the nearest milli meter, and the data obtained is represented in the following table:
![](data:image/png;base64,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)
Find the median length of the leaves
(Hint: The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5)
Answer:The cumulative frequency of the data can be calculated as:
![](data:image/png;base64,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)
As per the question,
N= 40
![](data:image/png;base64,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)
Hence,
Median class =144.5-153.5
Lower limit, l = 144.5
cf = 17
f = 12
h = 9
Now,
Median can be calculated as:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 144.5 + ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAhCAMAAAAieUHKAAAAAXNSR0IArs4c6QAAAGNQTFRFAAAAAAAAAAA6AABmADo6ADqQAGa2OgAAOgA6OjoAOmZmOma2OpDbZgAAZgA6ZjoAZjpmZpDbZrbbZrb/kDoAkDo6kGaQkNv/tmYAtv//25A629uQ/7Zm/9uQ/9u2//+2///bV8QzDAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAa0lEQVQoU4WPyQ6AIAxEB/d9QRRREf7/K7U1ejHRuUybvrRT4JZtRdADrpaw6YAtNMBcwWYau0qARYiirZh2jSbbufUqks+S/0Jc+gffBMWig2POvkhFvpWe3HXGKzlRzFMxgzwH1pR++dYB7H8FK/x45b4AAAAASUVORK5CYII=)
= 146.75
Question 5.The following table gives the distribution of the life time of 400 neon lamps:
![](data:image/png;base64,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)
Find the median life time of a lamp
Answer:The cumulative frequency of the given data can be calculated as:
![](data:image/png;base64,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)
As per the question,
N= 400
![](data:image/png;base64,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)
Hence,
Median class = 3000-3500
Now,
Median class = 3000-3500
frequency corresponding to median class, f = 86
cumulative frequency of the class preceding the median class, cf = 130
Lower limit, l = 3000
class height, h = 500
Now,
Median can be calculated as:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 3000 + 406.97
= 3406.97
Question 6.100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:
![](data:image/png;base64,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)
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames
Answer:The cumulative frequency of the given data can be calculated as:
![](data:image/png;base64,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)
As per the question,
N= 100
![](data:image/png;base64,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)
Hence,
Median class = 7-10
Lower limit, l = 7
cf = 36
f = 40
h = 3
Now,
Median can be calculated as:
h
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 8.05
Now, mode can be calculated as: class corresponding to maximum frequency.
Modal class = 7-10
l = 7
h = 3
f1 = 40
f0 = 30
f2 = 16
![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 7.88
Now, mean of the following data can be calculated as:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYwAAAHSCAYAAAD/vfzNAAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu2cCdglRXm25WffNxFUVkFEFlFBJUpk0CgqiwiCiCAjS6JB8xMXUBQDEQVEDBJAiKATRcWAirIIomRYlB0UEBABRwFFNgHZt8nzjF1Y09PnnDrf16e7+nx3Xdczp7u6uuqt+63ut7uqv3nOc0gQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIpBOZLKDQ7oQxFIAABCEAAAs8hYDAIUggwTlIo1VdmnHiPU1/q83B+Nc3+f/nZhEUQgAAEIJAjAQJGjl7BJghAAAIZEiBgZOgUTIIABCCQIwECRo5ewSYIQAACGRIgYGToFEyCAAQgkCMBAkaOXsEmCEAAAhkSIGBk6BRMggAEIJAjAQJGjl7BJghAAAIZEiBgZOgUTIIABCCQIwECRo5ewSYIQAACGRIgYGToFEyCAAQgkCMBAkaOXsEmCEAAAhkSIGBk6BRMggAEIJAjAQJGjl7BJghAAAIZEiBgZOgUTIIABCCQIwECRo5ewSYIQAACGRIgYGToFEyCAAQgkCMBAkaOXsEmCEAAAhkSIGBk6BRMggAEIJAjAQJGjl7BJghAAAIZEiBgZOgUTIIABCCQIwECRo5ewSYIQAACGRIgYGToFEyCAAQgkCMBAkaOXsEmCEAAAhkSIGBk6BRMggAEIJAjAQJGjl7BJghAAAIZEiBgZOgUTIIABCCQIwECRo5ewSYIQAACGRIgYGToFEyCAAQgkCMBAkaOXsEmCEAAAhkSIGBk6BRMggAEIJAjAQJGjl7BJghAAAIZEiBgZOgUTIIABCCQIwECRo5ewSYIQAACGRIgYGToFEyCAAQgkCMBAkaOXsEmCEAAAhkSIGBk6BRMggAEIJAjgbYCxv2CMTvSAhnCOVg2PSgdkKFtozRpn5JvzKHOtLYq+770J8l8/ygdLW0t3SedIc0vkZoj0JWxPoqxs6AwnyPdK23RHPLxbck39tT0UhU8VrpRelh6XLpF+ra0s7SYFNJMbYSgkWPAeKyw78+RzcNuLqcTDiy07bAnt1h+mtoOvkkNGCnjxBfnzUXdl+nX+++RLpLOjtrcUNuk/gRSePev4W9H6xjrqW1VlUvpy6jGziYyKIx1P8iQehNI8dMcmCnpn1XoCcnl/0taQ1pU2lj63yL/q/oNaWaR5/I5Boz/Kez7emTzsJtrRX2cMezJLZafFtldZ8DYIKr3C0X/fCPwWNm7OOaHjfjBoijGT4lA6nWZAq6OsZ7STq8yKX0Z1dhZUkb5ofYZaY9eBpI/h0CKn5IKbVMAd4U/roC7hPJ+K82Ijs3UtsvnGjDmk20vlPw70UTAmJvcNO0Gn1cFohV1fKGJwp5i5yVdvIlM6hjriU1VFkvpyyjHjsecxx6pP4EUPyUFjBvUTrgRbN+jzY8pPzxVusjM6Jz4DeMQ5f9Cuk16VPIc9ynSelKcXqkdT2N47tHTX3dKl0iHRoVSysR1hu1eayynqUDop393lE6WPBfvOfmjpHDD26lUNpx3j/JD8lz9h6VrpYekByQHXL8mh+Qba9ym9/9VuqOUH8rMLE5cJzruKYfnSV+TfiP9QXKen6y+JHnqLE7TtBPqq7qxl4rP2XX5fulTRZm4L94+Tipz/Yd+FXFsDoFBvH09lFmvrzyPv5DvadJeY71JzIP6MuzYicd+6Kv77f7HTP6+tH9Rk53uYFuD/DSnS4MKvbgE3dMLKWlmdF4cMDyAdy0qWFi/xxflvJbw/CLfr5F3Ffn76deL9y7rm5vPd0opUxSt/Jmp3DC4gn1eo/G0Wsh3YNtB8sJ4yNsnqm2tKH9GlB82TyqO/16/y0tvKvZ9Mw9B4xXadhCM27xA+x+SHGhsT7g5OLjGC8abaf+XktPLJbPxReO0gnS55HovluI3qWlFvo/VFTBU1XP61Xtg1CYBw7T6p0HXpc8O48tlfdN1eq3kBzxPF4c0UxthfMXXYlRkpJspfZkW2VgekwdGx8LYcf9uKvI93eTg4PRx6RvFdvgJfb+olM/u3ARS/DQwYLxZdQbg/vWNOiXNjM6LB+lapZNfE5Xzk7VT/GTgtZOQ/HT/tWInpUx06jybM5VTdREdGOV/tDjLAcsL/C4fT8m5L6GOGUXZ8BP368TomN9UfM7MKG9aked8B4VFimOb69dvbl+Mjr+1OOYf1/uRYt8BdZXomDcdbIN9DkwhTYvyyxdnVGyuTdczKPWr90CdHGwJF/2g+qby8RTefggJDxMenxtJv5I2LYGbqf3APr4Wm+Kb0pdpkY3lMXlgdCweO74HOFi4fgcPj/FZUvmNOvT9Ih0j9SYwu63Panub9NepE39a6SkpP2n7aTqkVYuNu6O8Y7TtaRb/+unpfUOUiaqZ0Oavi7M8KP9SbHvdIyX5bSKkeJoq9M2DvSr4nq18c3H6X+lwKV6Y36045iesd0jfLPZ9w3CA8duE3868H194gW1RnJ8xIODpWn9M4OSHKV9L50lT5cZ4ofrq+4KTZ0Lcbz9A+fNt0gQI1BEwfltq97kTsCOcsq42fiJtKV0iuS4/iYfkL2qcbpQOkcKTyVra9puGb6D+NM7TKyllVGxSyWss5ZT6NwQxJw9iBwHrJdLTkvu2Wrly7fuJsZw8NXZNkfl2/S4tbStdKoXy07X939Im0mHSEpLfTkIKbKMsNseAwHfVh58V/fDXZ1UfpYxBN3t2YX8dCdep7wtTJVj2BDKZA3UEDD/dhydt2xJPbcS27amdMD3Sy2bf7MLcqhdjvRDcK3kg+KnYc/lnSX7Kd/KNclqxnVKmKNr4j5/+QnJfPc1k+ca9QKHr/lbk2S0Hk6oU3jJchxfj3yvFbx7vLk56Qr9HSk9WVULe2BHw9fgi6amiZ/4www8LUyX5jdtrd06+t4Q3jqnS/1r7WUfAsEEfj6z6xwoLV1KeB6qffPuleCD7xua0VMUJGyvPT063S0dLfiOJg5EXdFPKVFRda1bogysNrP+usM1vQyGtWWrVU0mnlPIG7XrqKQST/69tv5mdFp0U2LpMKFfFdlA7HO8OAT94nCi9X/pCYfbq+j20O12YlKV+Q/+E5Gvu50VN2+v3nZOqdQqfXFfA8I3JNyk/xWwhHS+tLvlp1zeuM6QbJM+390vh1dll3iU5wIQ52Pg81+ub6u6S++ALw3OUTg9LnrtMKVOcMrIff776SFH7Kvq1rV6gfqXkV+PvFcfeot9pxban1zxldH6xn/pzpwqG6Yb1tO2puXjKLLANaxsr6/jOqZVTrpMEPOXot/8fSgcV2+6Ip2+9Rjbuyfehf5d+J+0hhbU/P2SWF77HnUVj/QvrBCkN+kZ1nORB6hulF4KvlT4txW8XfkV0vbH8RuDkge2bn8//qeRXyricb7SrS9+R3M7dksv614Hp1ZLT6tKgMkXReX562efAWLbbN3svWpfzHbCcpku/lRxM75C+JfmLJSdPP/kJ6HrpcclfQF0mTZdC2kcb5bq97yBZTg6yoexmpYPmbx4PSF70+2/pM1F5n3ewVNWeuQ5KPr9fqqrX5zhwVXH9aL/KODbHz/2Sx1sYC2Z/QrQf8k9VXq+x3q/uuo8N6suwY8fTTqGP/n25dHNF/w+tyHuo7s6NUX2D/DSnq0mFxggKXZkYAcbJxLhN9Kxx4j1OfZmoP7twXpaf1XYBHDZCAAIQmHIE6lrDmHLg6DAEIACBqUaAgDHVPE5/IQABCEyQwHwJ5zG/mACJIhCAAATGnQBvGOPuYfoHAQhAoCYCBIyaQFINBCAAAQjwWS1jII0AU5dpnOoqNU68x6kvdfk3x3r4rDZHr2ATBCAAgRwJMCWVo1ewCQIQgECGBAgYGToFkyAAAQjkSICAkaNXsAkCEIBAhgQIGBk6BZMgAAEI5EiAgJGjV7AJAhCAQIYECBgZOgWTIAABCORIgICRo1ewCQIQgECGBAgYGToFkyAAAQjkSICAkaNXsAkCEIBAhgQIGBk6BZMgAAEI5EiAgJGjV7AJAhCAQIYECBgZOgWTIAABCORIgICRo1ewCQIQgECGBAgYGToFkyAAAQjkSICAkaNXsAkCEIBAhgQIGBk6BZMgAAEI5EiAgJGjV7AJAhCAQIYECBgZOgWTIAABCORIgICRo1ewCQIQgECGBAgYGToFkyAAAQjkSICAkaNXsAkCEIBAhgQIGBk6BZMgAAEI5EiAgJGjV7AJAhCAQIYECBgZOgWTIAABCORIgICRo1ewCQIQgECGBAgYGToFkyAAAQjkSICAkaNXsAkCEIBAhgQIGBk6BZMgAAEI5EiAgJGjV7AJAhCAQIYECBgZOgWTIAABCORIgICRo1ewCQIQgECGBAgYGToFkyAAAQjkSICAkaNXsAkCEIBAhgQIGBk6BZMgAAEI5EiAgJGjV7AJAhCAQIYECBgZOgWTIACBngRW05ELpdt7luDAyAgQMEaGlor7EHi3jl0kXSndKl0q7dCnPIcmRmB9nfZl6QbpWul66VhppcTqbla52RXaNvH8uovtpArPl17Qp+KVK+wNfVimz3kcSiCwQEKZYYqsq8IekJsVJ+2q35OGqSAqu6y2b5KeW+Rtrt+ZE6yL0/Ih8AmZsr30dukOaSHp25LHzCn5mDkWlvja+4P0GulBaQXpbOliaQPpIalfekIHfQ2X0xXljAb2F1Yb75deL31R2qRPm9fo2OEVxx+uyCOrZgKOzoPSfCrweeke6UYpRPRdBp3Y57gDT/x0M61PWQ61TyBlnKwtM5+UXl4yd5WKvPZ7lLcFKbx/UcHVwdrnviehe9cllKmjSEpffI8JMyKnarvXlJTfMBwUSfUTmF3XlJSfEp8v+RV4Zg12vlJ1TJf8Kk0aHwK7qSt3Sr6Rxem2irzx6XV7PXl1BVe/cTj5Db5LyUHlmS4ZPI621hUwHhccv7r6ZjDZ5CeJY6QjJc9vk8aHwGvVFc+L++n2Z5LfRr2W4TUNUv0EPKVUTn7Lc/JawKDk+8MRkqewPD3sJ/e3DTopg+MvlA2e5rxc+rX0DcnT5aQGCKS8LsZmHKedMJU0kSmp3XX+76XFpTOiuqY10FeamDiBlHHiYOF58wuk50m+Ie0s+clx74k3PSXPTOFdBuOHMQfo1HXFn6usF5rtpwUl+8i+2kuqMw3bl35TUp7p8AL/RoWBS+n365LH3YZ1Gj0F60ryU1KhCN5kAoa/YrhLCl/MEDC6MypTxonnnV1u41K3ztS+17/m7053W7c0hXfZyH9Vhtclli4fGGLfbxn3SQ4gdaVh+9IvYFTZtJgy75VOrzpIXjKB2tYwUlv0WsemJcVR/2Ad8xcOfC2TSrRb5f4ic31zsI/jdLV2lpfWKOWzWx+BHVXVP0tvkR6YRLX+BNrrH2FqaxJVNXbqI2rJgXKTxloc04YWaLhfnobwH93Eyd/i+4nTX87sIYVXyVIxdseAgNcs1pE8NRKnp4udutbUxgBVrV3wl1Gfkd4o9fq6qNzgosrwG5+ncuIUfJXr26Dfnh6Vyus3tjtXm0uI893N6QJ9nzD5DcTzpvcX2iJC5+kp5/sNhdRNAmFKwH8DECd/Xedpjlu62a2srd5O1n1OepPktUGnv5P+rdgOP2tpIw7k79K+p5fLyQ90/nsGL4LnmL4ko95bMsx/w+ExdlWOBo+bTcPOL050DWM5gVu9pJ9q3+1bXnzz8UUkUn4EUsaJ5739Se25kueVnfzU67/NYNG7AJL4k8LbwcJP2/tL/gAlyH8zNSNqx9NVru/jUd50bT8mbV4q50Vv11dnSulL3F6/NYwZKuhgtlpxgt8qHEQ8xvxHf6SJE0jyU1KhyIaJBoyqbrDoXUUlz7zUceK/Np4h+WnXnzx6/WIiX9PlSaE5q1J4m7HLVWlGZOo0bXtdI/6r7hW1f4B0heQ1J3/i7unj3aW6U0pf3OaJ0izJbzhPFdvltwa/vR4tXSvZ7tukcyRmJgRhkinJT0mFZMglUtXAdJ7/pmKYtE+PujxISHkSSB0neVrfPavGifc49aV7Iynd4iQ/JRVKb5OSY0qAcdKsY8eJ9zj1pdlR0GxrjX9W22z3aA0CEIAABGojkNNXUrV1ioogAAEIQKB+AgSM+plSIwQgAIGxJFD+A6qqTjK/WEWFPAhAAAIQmIcAAWMeJGRUEGCcVEAZYdY48R6nvozQ5a1XzaJ36y7AAAhAAAIdIcAaRkcchZkQgAAE2iZAwGjbA7QPAQhAoCMECBgdcRRmQgACEGibAAGjbQ/QPgQgAIGOECBgdMRRmAkBCECgbQIEjLY9QPsQgAAEOkKAgNERR2EmBCAAgbYJEDDa9gDtQwACEOgIAQJGRxyFmRCAAATaJkDAaNsDtA8BCECgIwQIGB1xFGZCAAIQaJsAAaNtD9A+BCAAgY4QIGB0xFGYCQEIQKBtAgSMtj1A+xCAAAQ6QoCA0RFHYSYEIACBtgkQMNr2AO1DAAIQ6AgBAkZHHIWZEIAABNomQMBo2wO0DwEIQKAjBAgYHXEUZkIAAhBomwABo20P0D4EIACBjhAgYHTEUZgJAQhAoG0CBIy2PUD7EIAABDpCgIDREUdhJgQgAIG2CRAw2vYA7UMAAhDoCAECRkcchZkQgAAE2iZAwGjbA7QPAQhAoCMECBgdcRRmQgACEGibAAGjbQ/QPgQgAIGOECBgdMRRmAkBCECgbQIEjLY9QPsQgAAEOkKAgNERR2EmBCAAgbYJEDDa9gDtQwACEOgIAQJGRxyFmRCAAATaJkDAaNsDtA8BCECgIwQIGB1xFGZCAAIQaJsAAaNtD9A+BCAwDIHVVPhC6fZhTqJsPQQIGPVwpJY0Amuq2BHSVYVu0u950uYVpy+jvK9Iv5ZukM6UXlxRjqzeBFbWodk9ZL6D0s09zt120IkjOr6T6j1fekFC/e9WmYukK6VbpUulHUrn5da/hG61W2SBETX/E9X7xqLug/R7YGI7j6ncwn3KHqNjH+xznEN5E3irzPOF/HrJF+v80hekH0mvkq6VnOaTfig9JL1MekI6VJopvVy6WyKlEbhGxQ6vKPpwRV45y9x3LWdq/4qKvFFn+b7wfslj54vSJn0a/ISObS+9XbpDWkj6trSZdEp0Xk79i8zq9qafUIZJO6pw/FRz4BAnO2D0eiJy/tFD1EXRZgmkjJN3yKQPlMwKT8H7Rvku5/rWj/IW0fYD0mGl86fqbgpvsz17EoCum8S5w5ya0hc/RIQZkVO13WtKam0de1Lyg0WcVqnIa6p/JVM6uzu77jeMxYXCUw6/qHBOKqW9VfC+UuFXav9jkqcySN0l8P0K05cq8u6Jjvnp0G8R8QXth4mfSz62X0U9ZI03gfAgOaiXu6nAnZLvQXG6TTsWacQEUqJ/MMHTBj+TfHMPDj5wCPt806ianzxD+b+TFhyiLoo2S2CYcRIsW0Mbnr70vHQ8FelpFM85l9OxynhG8oPJVE8pvP2G4Wk+T8dcLnk96BvSuonwrlc5PwBeLHm9yW8rb0s8d5hiKX2J6+v3hvG/Kmi9R/K96EbJaxmeCi2npvpXbrer+0l+SiokAi+RHpVeIX1UmkjAqALp+lxXeSqjqix57RFIHSe20IvXnlLwOd+TViyZ/Qftn1vK864fSHyOpxemekrh/XxBcsDYqIDlt7mvS14b2jABoN/ovNDsqSA/rPnt3wF7r4RzhymS0pe4vn4Bw2tj7t8F0vMk276zZLttf5ya6l+p2c7uJvkpqZAQ+AL3orRTnQHju6rPC1f9FsOLZvlpkUDqOIlNXE47X5bukjaODhAwBjtyIrxd62LSvdLpg5uoLOG3DE8Z1/m2P2xf+gWM8CASjyd3xF/ZeQbDH1r0S6PoX7/2unRsdl2f1b5TvfYi06cG9N5fK2xaUr8nHb86ewH0cOnxAXVzuHsEfOP5oPSgdFRkvi/sJSu64ydk31zKa1wVRcnqQeAR5V8nbdLj+KBsTxUuK3lxOcf0FxnlMeJpzThdrZ3lJU+D9ku596+f7SM/Vseit59YvijtL/15gMV+RfQf3cTJ30mXnwbC8U9qwzeP/yqdw243CSwqs714HT9RPq19T5v4k9uQfLG/OdoPm77Y/U19yiehFadPuayl1WNPE/vz0TiZ+aAnbfvKZTy9Uz7X+4POL53W2K7XLNaR/FVVnNxnp/CQ3NX+zd2rDPcGvS6GTyD9yeP9hTxIfZ7lG4TzPy6FTyjDMf9eIVWltZT5lMQXMVV08ssbNE5ssRcf/YZZTh4DnoYKaTttuL71ojxPSXocHRblTeXNFN4zBGjPEiRz9BSgPzaIk6+3+CY7Xfsnlcp49weSg4g/c64rpfQlbqvflNTuKuj6yg+hntr2VFwIdNO13VT/6uLUdj1JfhpUyG8Yq5f0We37POvI4tgyQ/b2qypvB1dNTQxZFcUbIDBonNgEB4ywGBlM+pA2fG78dxi+cbmc5509jel0iOSgskKxP9V/UnjPECR/3bRaAcs3yy9J/jsF/wFcSDtqw/X5oS6k6drww97mUZ7LefHYswl1ppS+xO31CxheW/EntV5T9b3J6Y2S+xwvek/XflP9+6sV3f83yU9JhUosPqp9n2cdOAFOHuB+jf70BM7llHYIpIwTv13MkH4l/VLyZ40ODDtUmOwHjBMk3/BukM6Scp03rzB/5FkpvDeQFUdLnvLzNN9t0jlS+S1vmvI8QxD/Vbe/XDtA8tufz/VUoKeP/QRfd0rpi9s8UZoleUrSsw/evkoqJz9UzJB+L/lTYq9f7FIq1GT/yvZ1dT/JT0mFCgJe+A6BovxbHqT9oB2rgx7Aw76V9KuTY6MlMMw4Ga0lU6P2ceI9Tn0Z59GX5KekQuNMib4lEWCcJGGqrdA48R6nvtTm4Awrqu2z2gz7hkkQgAAEIFAngbr+DqNOm6gLAhCAAAQyJEDAyNApmAQBCEAgRwLlP26pspH5xSoq5EEAAhCAwDwECBjzICGjggDjpALKCLPGifc49WWELm+9aha9W3cBBkAAAhDoCAHWMDriKMyEAAQg0DYBAkbbHqB9CEAAAh0hQMDoiKMwEwIQgEDbBAgYbXuA9iEAAQh0hAABoyOOwkwIQAACbRMgYLTtAdqHAAQg0BECBIyOOAozIQABCLRNgIDRtgdoHwIQgEBHCBAwOuIozIQABCDQNgECRtseoH0IQAACHSFAwOiIozATAhCAQNsECBhte4D2IQABCHSEAAGjI47CTAhAAAJtEyBgtO0B2ocABCDQEQIEjI44CjMhAAEItE2AgNG2B2gfAhCAQEcIEDA64ijMhAAEINA2AQJG2x6gfQhAAAIdIUDA6IijMBMCEIBA2wQIGG17gPYhAAEIdIQAAaMjjsJMCEAAAm0TIGC07QHahwAEINARAgSMjjgKMyEAAQi0TYCA0bYHaB8CEIBARwgQMDriKMyEAAQg0DYBAkbbHqB9CEAAAh0hQMDoiKMwEwIQgEDbBAgYbXuA9iEAAQh0hAABoyOOwkwIQAACbRMgYLTtAdqHAAQg0BECBIyOOAozIQABCLRNgIDRtgdoHwIQgEBHCBAwOuIozIQABCDQNgECRtseoH0IQAACHSFAwOiIozATAhCAQNsECBhte2Bqt3+yuj9bWn9qY6D3IyTAGBsh3KqqfUGTIDCIwLDj5LWq0Of0ChjL6NhXpF9LN0hnSi8eZMQUOp7KexMxOUe6XrpWukzaIZHTzSoXfBT/bpt4fmqxlL6sqcqOkK4qdJN+z5M279PIoDHmB+b9JLO5Rrpcekuf+qb6oRQ/zRkwg9LZKlA1sELedYMqKB3fSvu3RnWu3OP89ZR/inS39JjkAX6ItESP8mSPjkDKOAmtz6eNS6TTJZ9XfsPw8Quks6SFJe8fJt0hrSCR/sptEAcH2IekY6Uwm7CHts18m0En67hvpLtUqNf1mFBlZZGUsfNBnfkHaa2ihvn1+x+Sr/sNKmodNMZ8ysHS76UXFudvqd8npM0q6iMrbcw1GjB8M/iB5Bv/vVIIOFUD9FU6/peizE76dZA4qdi/VL++0ZCaI5By0QdrdtaGnw73lKoCxjsq8hdR3gOSAwcp7eL9cMFxjRKwu7T/zQSIwz7oJVRZWSRl7HhMfKB0tu8LPnffiloHjbGVdM7jkgNRnPw25vsHaV4Cs+tcwzhG9b+7JN8Qnpb8GpmSXqpCV0h+c/BbQ790vA46SPip0/OU4UnK57xa2qffyRxrjYBv/J+VPtLHgu11zP6Pb1h+kvy55GOkNAJPFcUWKBX307mvyy6l78vYL5cMXqrYv6eUnzLGttI5C0l+cImT933/qHpILRVlt4pASvS3M99VcfJHleeBuU7FsUFZN6pArzcMT2GEYxdHFYUnDh/z6zSpOQIp48TWfFKaUZjV6w3D88lVT3meWnlGWrw4fyr/pPBeToB+I/ltYlEpzNnfr+1XJMDzNeR1A19jXjPw1PPbEs4btkhKX8p1+q3pJ9L5Unk2IWWMHaXz3K65xGnHIn8U/Sw11bndJD8lFarouqP8H6XvVBxLyeoXMKarghAw/AoZ0tJRvm8sfgMhNUMgZZx4GuBO6QWFSb0Chueqz60w+1DluZ1VKo5NtawU3mayqjRTelTyNK8DiBeDU5Lf6Dzd60CzoLS35Otqr5SThyiT2hdX6XWZ2yWf8z1pxVI7qWPsWzrvydK53n1LUfeuFcemelatU1JlmB5UdqanH+pO8cJneO12G/EA8KLXc+tumPomRcBj4TjJAYE0egJ+E/eb2pWSvzrzdfMZyU/mKV86ObB4utdBwteWp51/LB0mOYC0kRzwPJOwvPQnyV9+bRwZwhgboVfKc5t1NeW5wY9JP5Q8vRCS8z0/GCcvXP+ylMfu+BHYUF16k5QyPek56SUrEHjO2k+W91UcI2teAp8rsrwoHNYsvq5trzU6cJ827ykDcxyAtq8skIsAACAASURBVJDWln41sPToCngMfFDymPL0koPbsGPM9z/PhDwWmRnWRfw2RioRGFXA2E3teNpgu1J7z9P+haU8P/3ETwgpTooXxOM+xE89vrGUF8NS6qbMaAj4wvbFGa8thSlDTyv6CdbfxHsK0w8Zb64ww/PWt0oPVxwja14C/tz0Fqm8wO31CE+9eAbAT+lVyXP7Xhz3xyRxCnX5WJPJ9vjGHk9f2Ra/Yby1MGTYMebTXiTFYzJ8URY/6BbV85NCYJj5RdfnG7gH6Y8qKo8XpV2vdUVFOWf1W8OIF709zxrSC7UR6r2hR71kj4bAsOPEVvRaw/CDhuvz13IheWHTi7WeDiHNfePsxcNvA/47A0/PxslvFr75xovFa5XKTdf+SXOfNmfPn707iDj415VSxs5FamzTigZ9/+g3xdlrjHmtw5/Vel0mTmdrx9xI8xJI8dNcEX3eKubNea+yXPHr5j00VE6/gOGKflG04wsipE2KPLf/iSifzdETSBpMJTN6Xcy+wV0gnSl5GtPpEMk3hnj9qjg0JX9SeHvh1uX85haSp5O87udpnJDCl0Efj/Kma9tBZfNSOa9n7B/l1bGZ0hcHDI8Jz1KE9CFt+FxPufVKvcaYyx8s/U4KH2H4TeUJabNelU3x/BQ/DRUw/DWFn+zPqwHsoIDxGrXhqQl3wk+kfuL5arHvp446n4Bq6M7YV5E0mAoKfpiYJXnK0OfdUewvFlHyIu0JkqdPPKbOkjxvTvorgVTeW6u4b7Rm6L9ruVryU/UCEchp2vYfRTrAhOTpqgMkX0uenvFUoKePd3+2RH0bKX3x28UMyesmXvP0NJL7tUMPM1LGmO9XDpJm4z66r2F6q0e1Uzo7xU9DBYzwpPKGCWL1Td5G9VL5yw7P0Z4q+cbjpyEPak9ZhIUrbZIaIpA0mBqyZSo0M068x6kv4zz2kvyUVGicKdG3JAKMkyRMtRUaJ97j1JfaHJxhRSP9O4wM+4tJEIAABCAwUQKewyNBAAIQgAAEBhIgYAxERAEIQAACEDCB8vfZVVSYX6yiQh4EIAABCMxDgIAxDxIyKggwTiqgjDBrnHiPU19G6PLWq2bRu3UXYAAEIACBjhBgDaMjjsJMCEAAAm0TIGC07QHahwAEINARAgSMjjgKMyEAAQi0TYCA0bYHaB8CEIBARwgQMDriKMyEAAQg0DYBAkbbHqB9CEAAAh0hQMDoiKMwEwIQgEDbBAgYbXuA9iEAAQh0hAABoyOOwkwIQAACbRMgYLTtAdqHAAQg0BECBIyOOAozIQABCLRNgIDRtgdoHwIQgEBHCBAwOuIozIQABCDQNgECRtseoH0IQAACHSFAwOiIozATAhCAQNsECBhte4D2IQABCHSEAAGjI47CTAhAAAJtEyBgtO0B2ocABCDQEQIEjI44CjMhAAEItE2AgNG2B2gfAhCAQEcIEDA64ijMhAAEINA2AQJG2x6gfQhAAAIdIUDA6IijMBMCEIBA2wQIGG17gPYhAAEIdIQAAaMjjsJMCEAAAm0TIGC07QHahwAEINARAgSMjjgKMyEAAQi0TYCA0bYHaB8CEIBARwgQMDriKMyEAAQg0DYBAkbbHqB9CEAAAh0hQMDoiKMwEwIQgEDbBAgYbXuA9iEAAQh0hAABoyOOwkwIQAACbRMgYLTtAdqHAAQg0BECBIyOOAozIQABCLRNgIDRtgemZvurqdsXSrdPze433utU3qnlGu9A1OCobHy/2pgtfbDNzuXeNgEjdw+Nn307qUvnSy9I6Nq7VeYi6UrpVulSaYeE8yjyNwKpvFPLVbG9WZm+2Za1bVXhSeSl2riJ2jhHul66VrpM6jdultLxf5+EXZwaEfAgSE3rquBMKQycXXqcuLzyj5RmSY9Jd0rfkF7Uo3y/7K100DeT0ObKFYW3VN63pRukeyW3OUv6juTBRZo8gZRxsrCamSmtKp0q9XvD+ISOXyG9sDBtIf1+Vzq62J/qP3XyHsYvVdx9Y/a1XlbVtVh1fp19ebEaeEg6VgoPxHto221sU9W48j4vnV6U4Q2jB6SCT++jxZEUZ85XQL9HvzcWFfu8qoCxTFTmKG0vJu1dnHO3fu3wlLSCCv1A8tONg0C/gHGCjvvm9Eppfuk10p+Kc57S799LpMkRSB0n4SLuFzDWlilPSi8vmbRKRd7krO7u2XXy9vWb4pdetK7rdSAxv86+fFhtur41Sm3fpf1vVtjjcn+QXlWcR8CogFRkza5rSspPf8+X1pdm9m5vzpFPSy8pyjhgPCIdJz0qPVdyXkp6qQr5CXQ9yYGmX7pPBz8rXSU9LXlq46vFCQ4gu/Y7mWO1EfCF/ExCbbupjN86f1Eqe1tFXkJ1U7ZIKu/Ucm2CTLXRD4BOC5SM9XXua7+c/HZxmPTn8gH25yVQV8B4XFX7puuLfFCKb86+ATjZkY7yTltIKxXb/X4u0MHPSG57UNpXBb5cKhQPqPsHVcDxRgm8Vq35zfE90s8kv7V6LcNrGqT8CPg+coR0sXSTdLb0tpbMPEnteuwcKC0q2bb9JAeM/5DitKl2NpQ8fUVKIFBXwEhoak6R1SW/RTg9IcU3+78U+X499tTRqJLfht4geV7T6bdS6ltNcQo/IybgqSdPEfyT9A7Ja2O+qD2l4OlLUl4E/MB1ufQ6yW/8Xg84Q9qrBTM9m/BGyWtf3vbsw56SA9jVkT2+z3xR8sOkpz9JCQSaDhhedwgpvDqG/dhpz0uwfSJFPDfuqa+fSstKfnrdSuq3+DqRdjhncgQW0emLS56P9tyzp7G+Jf1IOkjy0yIpHwJ+IzxZsp98HR8j/VjyVM+CDZvpaXFPOfvLOq+X+p7jmYifSPFXW7to/2HpNImUSKDpgJFo1rPFNtKWXxtjTcZmvy77ZuQnIW/71+sg20mkfAj4bdNz1teUTPITor+wKy9o5mM5lgQCvmn7ocwPaU2mzxWN+c3BMxgOYl+Xzpe8VurkD20Olj5S7POTSGAyN9/EJuYqFi9Olxel4icRP1U6fUe6sCQ7ezLJT0A/l8LUhuc5mcOcDNH6z/WahacMrDiFRcumx239PRyfGn39LFHRneCrpt8GN5Att0ih/WCaHxBXLPQy/S4pfU+aVWimfp38BjtLKq93FIen9k/TF97vhPueArnXEqyQwqDzk6W/ZqozvVSVlQNU/PTqgRRPl9XZNnUNT8Bz4E6++OPk6QbPS/uGQGqHwMpqNn5oe5f2w5N7bJFnBzzl4xt1k8kPm/47n/LDxmrK8xuH11sukZaTVo80TdtO/1bk/Wuxz09EoOmA4WAQfwvtwedkO15QbJ+r3/C11VraDk+a4dd/lDNs8g3I009xWjPa8ae9Dw5bKeVHRuAbqvmX0iFSuDl5IXMbyZ9ll58eR2YIFc9FwNerg7WfzOP0Tu1sHmXsqO2tJU8PPTZ30ZHv+Q87V5E8JRWSv7z0WuV/SSlfVUansjksAd/kh0l+2vA5lheWysnzmr8pjvtTvIUlf8Xg8v4DvJeUT0jY9xRGaDMEofi0m7XjtQrPpzrw+I3D++GcT8aF2Z4QgdRxcqJqnyX56fOpYrvqjdJvfDOk30u/lrx+UTWelD0lU928U/zi9aPbpOMj4n47P0Dy9eS39lslLzjvHpUZtFl3XxysLpBukPxHhR47noIuzzLYLk+ZzZL84Uu4B3n/DT5ImotAkp+SCqlav+aFG3D598gS+PAHer4Z+AnkT5LfPOKn/tIp8+x68brcTrwffxHhwftdyYPZr6Rex/ij5E///NRKmjyB1HEy+ZaowQTGifc49WWcR2eSn5IKjTMl+pZEgHGShKm2QuPEe5z6UpuDM6yotv8aJMO+YRIEIAABCNRJoOlF7zptpy4IQAACEGiQAAGjQdg0BQEIQKDLBMrfKlf1hfnFKirkQQACEIDAPAQIGPMgIaOCAOOkAsoIs8aJ9zj1ZYQub71qFr1bdwEGQAACEOgIAdYwOuIozIQABCDQNgECRtseoH0IQAACHSFAwOiIozATAhCAQNsECBhte4D2IQABCHSEAAGjI47CTAhAAAJtEyBgtO0B2ocABCDQEQIEjI44CjMhAAEItE2AgNG2B2gfAhCAQEcIEDA64ijMhAAEINA2AQJG2x6gfQhAAAIdIUDA6IijMBMCEIBA2wQIGG17gPYhAAEIdIQAAaMjjsJMCEAAAm0TIGC07QHahwAEINARAgSMjjgKMyEAAQi0TYCA0bYHaB8CEIBARwgQMDriKMyEAAQg0DYBAkbbHqB9CEAAAh0hQMDoiKMwEwIQgEDbBAgYbXuA9iEAAQh0hAABoyOOwkwIQAACbRMgYLTtAdqHAAQg0BECBIyOOAozIQABCLRNgIDRtgdoHwIQgEBHCBAwOuIozIQABCDQNgECRtseoH0IQAACHSFAwOiIozATAhCAQNsECBhte4D2IQABCHSEAAGjI47CTAhAAAJtEyBgtO0B2ocABCDQEQIEjI44CjMhAAEItE2AgNG2B2gfAhCAQEcIEDA64ijMhAAEINA2AQJG2x6gfQhAAAIdIUDA6IijMBMCEIBA2wQIGG17YGq3f7K6P1taf2pjGHnvV1MLF0q3J7Y0Dn4Zts+JaCg2iIAvaBIEBhEYdpy8VhX6HALGILLVx1N576TTZ0m3SCkBYyJ+uTnyZfCpf7etNn2e3JS+rNyjDZ+7TKnGYfs8j0FkVBJI8dOcCzo1rauCM6UwaHapOHFL5X1bukG6V3pMmiV9R9pEGjZtpRNulUKbHli90pt14Azpbsnt/kk6X9qr1wnkJxMYZpzMp1ovkU6XfB5vGMmYny2YwnthlZ4prSqdKg0KGBP1y/Wq29d6Wf2uxWc7oo2UvriuX1a04TYXjCobts+xHWz3J5DipyRneqB9XrpHulHqFzBO0HEP3FdK80uvkXzj9jlPSX8vpaQVVOgH0s2SA8+ggPGxosws/b5O8iBbW7pKOk0iTY5A0mAqmthZv+dJe0oEjIlxT+Ht6zJMO6cEjIn65bqJdeHZs1L64oBxdkI7w/Y5oUqKFARm17WGsZAqfL7kJ8WZA/Dep+OflXyjflq6VPpqcY4DyK4Dzg+HX6qNK6T1JL8x9Esv08FDigIf0u/PpCelm6TdpG/2O5ljtRJYRLXZ/x+ptVYqqyLgG/EzVQcq8sbFL8P0uQIDWf0ILNDv4BDHHlfZ1Bv9vhX1xnbcX3G8KusCZVopyVNODkZOnoKK07XasUjNEHCgsA+uljZqpklaSSAwGb/4wfMIyesfy0ueIj5KOiuh3WGKvFCFPZ29lrSUdJnkB0FPiZEaIFDXG8ZETfWbyRukPYoKfqtfD7S6k6egnJ6QdpccIB6SfiPtL4Vg4jKk0RFYSVX7Dc/MSfkQmKxf/JB3ueTrzG/8p0teK6xzbdCzEU5fkF5VyG8TDhob/vUQ/+ZAIGV+MbbzOO34HMsLUr2S1w88CELZi7TtRfOJpHjdpGqhzWsroR0/9fjpxLaFvP+cSKOcMxeBlHFyos44MDqLNYyJD6IU3nHt/dYwRuEXrzd4+jlekO7V22H7EupZTBtev3SAqkr9+lxVnrz+BGpbw+jfTPVRrx943tRPJd72r9cktouKe8pi05Im8lbkdkLyxfGgdJLkweb0AcmL6KTREfBT4JskfxxByofAqPzitcllJT8Yjio9ooq94L7JqBqg3rkJ1LWGMVGuXnj+ubS3dK60qHSs9L2iQn9qu2axHX6W1Iank4ZJD6jw4sUJd0Ynettzrp6S2kDylzuk0RBwsHDgjueblyiaOke/Hgv7SfY5qTkCk/WLr1lfP+VrMkwh1TXdu7TaeFTytHKc3E5dbZSqZnciBIZ9XRw0JeWvm8qB6nnKC9ND/g1P+/5kNs73drjJxH0ZNCXlG1Ko5/XRif5bkJA/La6Q7aEJDDtO3ABTUkNjfvaEYXkPMz3Tzy+e8vVUUEjTteG39XLyJ+8OIvHbfblM2E/pywwVtl1x8t9c3CX9pJQfdofpc48qyI4ItDIl5fnGsAgdbInfIvya6Skjp7Ukf1cdq/wkUxTt+3NKdHTFYtt1hm0/tfyibw0chAAEHCxukcIMQCDyTm1sHuHZUdtbS5+THovyJ7u5rypYrajEbxWe3vS0179PtmLOr49ASvSPWxv0huG3Bq9VeG7TN+3w9xThSf+TEzB90BuGB9dMyW38UPJTzw7FvvMOkkiTIzDMOPEDwyzpHsnn3VHsx0+uk7Nm/M9O5e01O7N+WHqq2PbfQFWlQX7x9O1t0vHRyX7oOkDyNX2N5E9qr5T8NWJqSumLp4yPlvyFo9uxHZ458BpnOQ3T5/K57PcmkOKnORd0SrpEhVy2SkdGFXggfVfywPLneJ67/qPkz/C2icoN2vRNv6qtkFf+f2w81/ppydNQfovxBeRP8t43qCGOJxFIHSdJlVFoIIFx4j1OfRnouA4XSPJTUqEOQ8D0eggwTurhmFrLOPEep76k+q+L5VpZw+giKGyGAAQgMOUJTORvGqY8NABAAAIQmIoECBhT0ev0GQIQgMAECPgrpUGJ+cVBhDgOAQhAAAJzCBAwGAgpBBgnKZTqKzNOvMepL/V5OL+aWPTOzydYBAEIQCBPAqxh5OkXrIIABCCQHQECRnYuwSAIQAACeRIgYOTpF6yCAAQgkB0BAkZ2LsEgCEAAAnkSIGDk6ResggAEIJAdAQJGdi7BIAhAAAJ5EiBg5OkXrIIABCCQHQECRnYuwSAIQAACeRIgYOTpF6yCAAQgkB0BAkZ2LsEgCEAAAnkSIGDk6ResggAEIJAdAQJGdi7BIAhAAAJ5EiBg5OkXrIIABCCQHQECRnYuwSAIQAACeRIgYOTpF6yCAAQgkB0BAkZ2LsEgCEAAAnkSIGDk6ResggAEIJAdAQJGdi7BIAhAAAJ5EiBg5OkXrIIABCCQHQECRnYuwSAIQAACeRIgYOTpF6yCAAQgkB0BAkZ2LsEgCEAAAnkSIGDk6ResggAEIJAdAQJGdi7BIAhAAAJ5EiBg5OkXrIIABCCQHQECRnYuwSAIQAACeRIgYOTpF6yCAAQgkB0BAkZ2LsEgCEAAAnkSIGDk6ResggAEIJAdAQJGdi7BIAhAAAJ5EiBg5OkXrIIABCCQHQECRnYuwSAIQAACeRIgYOTpF6yCAAQgkB0BAkZ2LsEgCEAAAnkSIGDk6ResggAEIJAdAQJGdi6ZUgadrN7OltafUr1uvrOrqckLpdubb5oWpxoBX9AkCAwiMOw4ea0q9DkEjEFkq4+n8t5Jp8+SbpF6BYyTIl8En8S/i1Wb8GzuzT3O33bAeeFwSl+GsXEZVfwV6dfSDdKZ0osTbaFYbwKzF+h9bEJH1tVZx0qbFWfvql87uiq9WZn/Ir1GWlJ6QLpRcnk7OzVtpYJHSWsUJ6yi36oL403K30/aWFpEukP6gXSwdJ9Eao7AfGrqi9IZkv1HGg2BhVXt+6XXS+a9SZ9mDtexa0rHt9T+atIjfc7zoSckX+vldEU5Y5L7KTZ6bP1Qekh6mWTbDpVmSi+X7pZIIySQEv3tpM9L90i+6Yenk1162PWxosws/b5OWlBaW7pKOq3HOeXsFZThG76fbu6VQpsrlwtqf3vpmaLMQfp1wPAF5HNs79ISaXIEUsZJaGFnbZwn7Sn5PKakhmefwtvXZZh2PlXbVQ9SbvkQyddhOfmG/95yZsX+dRV5w2Sl9CXVxneo4fKY8vXuB9LDhjGKsvMQSPHTHPiDkp9kviGtJB0n+RyrKmA46j9VHN9av3HaQDs7lPJ67fqp6QDJbcdBqipg/EZlgk0rFhWuE+X5yYU0OQIp48Qt+OL9rfQKiYAxceapvEML/QJGlRWvUqYfxOyvQamJgFFlQ5WNnqG4q6Lwj5Tnh0vSxAnMrmvR+3HZ4FfSOxNs2Utl5i/KnV8qf632T0mow0UukD4jue1+aVkdXKso4IvsT8X2H6OTPM9LaobAR9SM/X51M83RygQJeCrra9JjCef7PnKEdLF0k3S29LaE8yZbpMpGP5D6gaScnPciafHyAfbTCdQVMNJb/Nurr+cWd5ccJDzf6LeA/aUQTIaps1/ZuI9+RV+gKPx0dJLfSrxQRhotAb+Bfkiyn0n5EvC18C7p+EQT71e5yyVPa60nnS55fcoPh6NKvWx8rhp8sKJR5/n6X67iGFmJBNoIGKsWti2kXy98e5D5ScFvAZ+Vjky0PbWYX6u9wB2Sb1pO4Tfks47xLKKRbdi/nrL8w8haoOI6COymSvy24Ie4lOQv3k6WvE74pHSM9GPJawZenxxFGtbGUdgw5epsI2DEc6Inirgjv+cdfWN3+oDkBW2njaRNS5qIzZ8r6vOP6/dr6d5RnjcfLe2zWy+BDVXdmyR/HEHKm4Af4L48SRMv1fmeDvbHLKNIvWz0hzdLVjS4lPI8JX1fxTGyEgmE6ZnE4rUU89cKYR4xXvPw9vKSp6S8+O2vaL4jrVlq1YPBU1jDJH/q67nYfQp5zcJrJTdK60gOFiFgaZM0AgIOFn5YuD6qe4li+xz9+snUnz3b56T2CGyupn1z9aepKWlRFfI1W74mw5Rv3VPMtqmfjf402DMX5bSGMm6VHi4fYL9eAsN+jeEpB59jVX0l5ZtDOO4vnUK6IcqfVmT6q4ZQNvyGm0x06sCvpOKy8fZtRf0/7VWA/GQCw44TV8xXUsl45yk4LO/Ur6T+Ry0dNE9rf8vwel/8h3zTte8ZgnLyJ+8OIvGMQrlM2B+2L/1s3E6Vuj6vpYTkLym9zuIpMtLECST5KalQZMOggBFuEq43fELrxSi/KjrPXz0NuwDtNwWfa1V9VruZ8t8gxclrJuEc/50GaXIEhh0nbo2AMXHmw/JOCRhe1/PbdtU1ZEud7+vz7Mjs6dr227uf+kPaURtez0j9uGGYvgyy0feSC6QzJa+TOvlvOLxuFqa6i2x+hiSQ5KekQlHDgwKGX1FnSq7Xr71+AnHgCDfvfk83UTNzbQ4KGAertAfMxpIHlOdVLyna9DoKafIEhhkn/tBhluT5Zp/njxK8Hz+5apfUh0Aqb49vs/VUzFPFtv9Atip9SpmnVR0o8jxl7Lfy+OupFbXvv4fyH/l5OsjTPldK/gIyNaX2xfUNstFl/MB5guRPfD1zcZY0qrUUtzdVUpKfkgqJWLgBhxt//Fv+8snznp+W7Ez/twMezJdJ7xuCvANNVVshb9uori21fa7kG5Pb8+upn0L8tyMOIKTJE0gdJ5NviRpMYJx4j1Nfxnl0JvkpqdA4U6JvSQQYJ0mYais0TrzHqS+1OTjDimr7S+8M+4ZJEIAABCBQJ4GJ/E1Dne1TFwQgAAEIdIQAAaMjjsJMCEAAAm0TSFnwZX6xbS/RPgQgAIGOECBgdMRRLZvJOGnWAePEe5z60uwoaLY1Fr2b5U1rEIAABLpLgDWM7voOyyEAAQg0SoCA0ShuGoMABCDQXQIEjO76DsshAAEINEqAgNEobhqDAAQg0F0CBIzu+g7LIQABCDRKgIDRKG4agwAEINBdAgSM7voOyyEAAQg0SoCA0ShuGoMABCDQXQIEjO76DsshAAEINEqAgNEobhqDAAQg0F0CBIzu+g7LIQABCDRKgIDRKG4agwAEINBdAgSM7voOyyEAAQg0SoCA0ShuGoMABCDQXQIEjO76DsshAAEINEqAgNEobhqDAAQg0F0CBIzu+g7LIQABCDRKgIDRKG4agwAEINBdAgSM7voOyyEAAQg0SoCA0ShuGoMABCDQXQIEjO76DsshAAEINEqAgNEobhqDAAQg0F0CBIzu+g7LIQABCDRKgIDRKG4agwAEINBdAgSM7voOyyEAAQg0SoCA0ShuGoMABCDQXQIEjO76DsshAAEINEqAgNEobhqDAAQg0F0CBIzu+g7LIQABCDRKgIDRKG4agwAEINBdAgSM7voOyyEAAQg0SoCA0ShuGoMABCDQXQIEjO76DsshAAEINEqAgNEobhqDAAQg0F0CBIzu+g7LIQABCDRKgIDRKG4aG5LAoip/nHRDoYv1u9KQddRZfDVVdqF0e52VUtdICOQ2dkbSyaYrXaDpBmlvyhL4lHo+6GZ/vMpcGxH6sLa3lNaRHpHOl1aVrpIOkly+qbSTGjpUenpAg8vo+OHS66VnpFulfaTflM7zw9rHpN2kp6THpQOks0vl2H3Oc9oeO8vKCb+Smh5zmxRtrqJfj7tHJY+tU6JBsaK2/1HaXvL9fH7JY+3fpKujct68WVqzlOfdd0inVeRPKGv2hM7ipKlGYNA4eaOAPCY5ICxfAecVyvMNOU6+ecYDeWHtLyVdIu1YKjvKXbc7U3KwOlXq9YYxn45dIJ0l+RzvHybdIa0gxelg7fxeemGR6cD4hLTZ3MV67g3i3fPEDA8M6kvbY2dJMWt6zL1YbT4kHSuFmaA9tG1W20Q+PFLbv5NeVOQtqN+vSr7WNorKefN6aZcKrVwq12t3kJ/mnJdUqFcL5E8ZAinjZCvR8E3xSmnpCjJfK+X5Ij25olzTWb7xh4u2X8Dwk5o5rB8ZuIi2H5AcOELym5bfKD4Y5XnzHOnSUl6v3RTevc7NLT+lL10dOxNl7bdrc1mjVMFd2v9mlOeA4TfYOPmBzOd+pZR/XWl/2N0UPxEwhqU6RcsnDSax8ZuBp2C8HrFEidVLte8bs1+b/RTvm6qnorw9q5TfViDpFzBOko2+oMvpR8rwdEBIe2rDvNYtFdyvyE954kvlXWoiy93UvtQ9dj4hGg7mbt9+e4n0T9J9kp/uPfUTj8Umx9y/FHb5TSNO92rn61GGp6HCw0xczm8YHqtxImCUgLDbHoHUi94W7iZ5ft9rEov1MbnXG0av/HJVDkheUxgkz/umpn4B4xpVUvWG4GkF93fxopGj9GteXpiNk2+Izn9bKb9qdxjeVefnlDdMX+oeO2sLhB9KvlwA8dvkjyWvYjE2MwAABNRJREFUQcWp6TG3nBr3WoTfJjxOHBT8QHG/5Onbfmk1HTTT8husp6SOkPywdpPkKd+UsRbaml0VmcJBfiEwKgL/rYr3lnxReo3C8/2jSD9RpX9O0N/V1PhzVc+DFXU5zzci3wScXM5vWV7EjFM4t2qNp1R0yu7WPXZ84/yk5DeLzaX3SzdKF0yQcF1jzm85XrvxGpe375b8ZuobfHkxu2yqF8EdbLyWEScHm8ul10nrSadLZ0h7zVWqz45fZ0gQaIOAn+j8dvEFyU/t20lP1mzIP6s+L5IPSvGXWYPKcrx9AnWPnS+pS/7KaIbkB4zXTqKLdY259WXDudK3pC0kXxtesHZA2lnyg1ZVeo0yHfT+QfKbU5zifvmN9xhpa8nrazOkgdcfAWMunuw0TMCvx56mOUjytudt60x+ekwZ456vriPdo0r8RU05OWh5isBPik4uZ7u8IO655pBCcPM8Nak/gTrHjm+eH5A8pehp0vKNtr8lcx+ta8x9rqh2X/2GT7m9dvFu6TipKmCso3yvu3hqc9BbSFH9nClUByRPzfnT4b6JKam+eDjYAIH/VBszpf8YQVt1TQ+kmuYbzosqCq+hvFulh4tjLudULutyTuF4sctPDwJ1jh0/tXtuf1fJT+cTTXWNuQ1kwC1S+e9+HJBWLBTb6AX7syR/evvT+ECx7XUQr+mVU6g/aR0v5emr3AD7EKiLwKqqyG8XO0h+6q471TU9kGrX91TwPZLnh8PTmtdnvEZyfFSJ542fkDxn7oXIkLx/mXR7lMdmNYE6x86r1MSm0mbSedIJkm/Yf6luum9uXWPuLrXiPs4nxR8FeEHbXw96PSKkECy8DuNpLKeFJE/1blPsv0u/DoSe1orTRtrxg4wDUS1pmC8YammQSjpJYNhxsqF6+RUpfDlU1eleX6b0yq+qo+48X4S9bui+uL1YeqbkC9bpEOkP0grFfvg5WBu/k15QZLxVvw4ivmmlpGF5p9TZVplh+1Ln2HFAv1LyTddpLclTUnGAd37TY85vOubiL6NC2kIbT0lHRXmeSvL4+prkYBD0Pm3PispN17anP/1QEpKnrjwdt3+U128zyU9Jhfq1wrEpQWCYceKvP7zQWPWG67eNV0uzJD9J+enH2/tI/ia+nJ/0Kq3zJptOLNq2Pb5obcdVFZX6E14/ofqJ7QbJ0wS+qMvJ08EfL8p4CuoKyUEjNQ3DO7XOtsoN05c6x45vmH+U/LXa94vOn1Ts26ZZkt8+/BuPxabG3NZq1w8gHkf+GwqvS/jrwvi68bqGba3SLOWH5GmsAySPM483T5E6UO7+bInBG0l+Sio0uC1KjDmB1HHiueID+7DwjZk0mEAq78E1tV8itS+MnXZ9NbvqCa9dk2h9nAnsq869XfqatGdFR/107s8aSRAoE2DslIlkup8a/TM1H7MaIjBonBwuO1xmkOI51oZM72Qzg3h3qVOD+sLYycObs71INyjZmSnlBtXD8fEmMGicLKvup8z9+m8QBt1AxptkWu8G8U6rJY9Sg/rC2MnETymBgIs3D2dhBQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIdIDA/wH2kxs33NhfugAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
= 8.25
Question 7.The distribution below gives the weights of 30 students of a class. Find the median weight of the students
![](data:image/png;base64,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)
Answer:The cumulative frequency of the given data can be calculated as:
![](data:image/png;base64,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)
As per the question,
N= 30
![](data:image/png;base64,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)
Hence,
Median class = 55-60
Lower limit, l = 55
cf = 13
f = 6
h = 5
Now,
Median can be calculated as:
![](data:image/png;base64,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)
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Median = 56.67
Median weight is 56.57 kg
The following frequency distribution gives the monthly consumption of electricity of68 consumers of a locality. Find the median, mean and mode of the data and compare them
Answer:
The cumulative frequency of the table can be represented as:
N= 68
where,
l = lower limit of the median group
n = total frequency
c.f = cumulative frequency of the group before median group
f = frequency of median group
W = Group Width
Hence,
Median class = 125 - 145
Cumulative frequency = 42
Lower limit, l = 125
cf = 22
f = 20
h = 20
Hence,
Median can be calculated as:
= 125 + 12
= 137
Now, mode can be calculated as:
where,
l = lower limit of the modal class
f1 = absolute frequency of the modal class
f0 = absolute frequency of the class before modal class
f2 = absolute frequency of the class after modal class
h = class width
Modal class = 125-145
l = 125
h = 20
f1 = 20
f0 = 13
f2 = 14
=
= 125 + 10.76
= 135.76
Now, mean of the following data can be calculated as:
where, a = assumed mean
fi = frequency of ith term
ui = a - xi / h
h = class width
= 137.05
Hence,
Mean, Median and Mode are more or less equal in this distribution.
Question 2.
If the median of the distribution given below is 28.5, find the values of x and y
Answer:
Let's make a cumulative frequency table for the above problem
Total frequency, N= 60
Now,
Given median = 28.5, lies in 20 - 30
Median class = 20-30
frequency corresponding to median class, f = 20
cumulative frequency of the class preceding the median class, cf = 5 + x
Lower limit, l = 20
class height, h = 10
Now,
Median can be calculated as:
28.5
28.5 - 20 =
8.5 =
25 –x =8.5 × 2
⇒ 25 - x = 17
⇒ x = 25-17
⇒ x = 8
Now,
From the cumulative frequency we can find the value of x + y as:
45 +x +y = 60
⇒ x + y = 60 - 45
⇒ x + y = 15
⇒ y = 15 – x
as, x = 8
⇒ y = 15 – 8
⇒y = 7
Hence,
Value of x = 8 and y = 7
Question 3.
A life insurance agent found the following data for distribution of ages of 100 policyholders. Calculate the median age, if policies are given only to persons having age 18 years on wards but less than 60 year
Answer:
In this case, we are given less than (or below) cumulative frequency distribution,we need to convert it into normal frequency distribution.
So, we need to find class intervals and corresponding frequency.
Since, the difference between ages in each class is 5, we can take the first class interval as 15 - 20 and its frequency will be same as frequency of below 20 class.
Also, for other class, class interval will can be found as following and corresponding frequency can be find by subtracting the previous frequency from the cumulative frequency.
As per the question,
N=100
Hence,
Median class = 35-45
Cumulative frequency = 100
Lower limit, l = 35
cf = 45
f = 33
h = 5
Now,
Median can be calculated as:
l = lower limit of median class
n = total frequency of the data
cf = cumulative frequency of the class before median class
f = frequency of the median class
Median = 35 +
Median = 35.75 years
Question 4.
The lengths of 40 leaves of a plant are measured correct to the nearest milli meter, and the data obtained is represented in the following table:
Find the median length of the leaves
(Hint: The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to117.5 - 126.5, 126.5 - 135.5, . . ., 171.5 - 180.5)
Answer:
The cumulative frequency of the data can be calculated as:
As per the question,
N= 40
Hence,
Median class =144.5-153.5
Lower limit, l = 144.5
cf = 17
f = 12
h = 9
Now,
Median can be calculated as:
= 144.5 +
= 146.75
Question 5.
The following table gives the distribution of the life time of 400 neon lamps:
Find the median life time of a lamp
Answer:
The cumulative frequency of the given data can be calculated as:
As per the question,
N= 400
Hence,
Median class = 3000-3500
Now,
Median class = 3000-3500
frequency corresponding to median class, f = 86
cumulative frequency of the class preceding the median class, cf = 130
Lower limit, l = 3000
class height, h = 500
Now,
Median can be calculated as:
= 3000 + 406.97
= 3406.97
Question 6.
100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:
Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames
Answer:
The cumulative frequency of the given data can be calculated as:
As per the question,
N= 100
Hence,
Median class = 7-10
Lower limit, l = 7
cf = 36
f = 40
h = 3
Now,
Median can be calculated as:
h
= 8.05
Now, mode can be calculated as: class corresponding to maximum frequency.
Modal class = 7-10
l = 7
h = 3
f1 = 40
f0 = 30
f2 = 16
=
= 7.88
Now, mean of the following data can be calculated as:
= 8.25
Question 7.
The distribution below gives the weights of 30 students of a class. Find the median weight of the students
Answer:
The cumulative frequency of the given data can be calculated as:
As per the question,
N= 30
Hence,
Median class = 55-60
Lower limit, l = 55
cf = 13
f = 6
h = 5
Now,
Median can be calculated as:
Median = 56.67
Median weight is 56.57 kg
Exercise 14.4
Question 1.The following distribution gives the daily income of 50 workers of a factory
![](data:image/png;base64,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)
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive
Answer:The less than type cumulative frequency distribution of given data can be found as follows, Here previous cumulative frequencies are added to current frequency to find the cumulative frequency of any class.
![](data:image/png;base64,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)
Now,
Taking upper class interval on x-axis and their respective frequencies on y-axis, ogive will be:
![](data:image/png;base64,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)
Question 2.During the medical check-up of 35 students of a class, their weights were recorded as follows:
![](data:image/png;base64,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)
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula
Answer:The frequency distribution table of less than type graph is as follows:
![](data:image/png;base64,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)
Now,
Taking upper class interval on x-axis and their respective frequencies on y-axis, ogive will be:
![](data:image/png;base64,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)
Here, N = 35
![](data:image/png;base64,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)
Mark the point A whose ordinate is 17.5 and is x-ordinate is 46.5.
Hence,
Median of the data is 46.5
Now,
It can be observed that the difference between two consecutive upper class limits is 2
The class marks with respective frequencies are obtained below:
![](data:image/png;base64,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)
We can see that the cumulative frequency is greater than n/2 and is 28 which belongs to the interval 46-48
Hence,
Median class = 46-48
Lower limit, l = 46
cf = 14
f = 14
h = 2
Now,
Median can be calculated as:
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAAtCAMAAAA9ZMHMAAAAAXNSR0IArs4c6QAAAJNQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjpmOjqQOmaQOma2OpC2OpDbZgAAZgA6ZjoAZjo6ZjpmZmZmZmaQZpDbZrbbZrb/kDoAkDo6kGY6kGZmkLaQkLbbkNv/tmYAtmY6ttv/tv//25A625Bm27Zm27aQ29u229v/2////7Zm/9uQ/9u2//+2///bT6eAZAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAADKklEQVRoQ+1Z2XbTMBCVKaUGGuqmLMVsVYNLIF70/1+HNNrGtrZiy4eH6KFxHS13rkYzVxNCzs3FwNPD/8nL8Q6ANQW0VydA2ZXinxcByGoYDA31W9/ofl9c/BTT0s+AVPzFD54VzTDouxlk9u1AuutDIyFDM88GuxsyHjZUHwTkbrc+n7MZH2/GMAkZKvkK0e3FYayjNy2wrKbLCby5mjCLnTLCMtqQ9u1JQma1cqpsoLvXYh3sDHxRZYVg+U1ZXKoeTgyK5eH2gUjIpEUelgU21fCsL7eF4Yl9uSd9rY4VlcFkHELkMFZzV+KQGz4SnjM2Q7I9coSqCKeX7coABgm51cYIYzPT3Bh4KEpMEA6VcZQ5eSjQKMdApzcH1zY2WJYp8kUq0CewDNg05Nk2rYrcrGLDhLYCuKXcjfs6dJ5QyjOPaNZV0Y7CBPsqMvPLT4grgNzf8dfXB9/CaBj4szqnwW1ZaASrJydt4XxqOIqS60yIZgkerAWrTWNO0lTGr9hj6Wcy1w7iE2zgsuO+CKQlo6racvcH2zhOpyhpJBGR2skpQ2nB01LlO8pKVfEjUd6Pl9kW8vBeqsNefEKebWxmHQPTqmruq2PIuUS53j1WXwrMQ2UUqW9fjaqad9gWMtcb/CBh4sDL52LFqip68Z27/E5eiqBtDFlg/r2/MgA8YtaqKlYX707kqFXN3DjtGEaiLX8AYrAWrPU9EghzCyyrqlSmwFFya5Y5SgtZpxinipUSRUHGt7qtIYNj6MRArYc4wqVUJjKk+1nOHpf18QNnBqHberW39NKu5Hb9wqFw27istlmGDLhNMJCzrqZVVSdy5A/UYww5d8LuP6oKjvhUHrzwlpUoi55dEfonWeRhf/I6SXw+vyKUU3yiO6rXRkdFKMZHLn+TMT+pjDarCEUwp80aM9zzPbquBmbQkI12iayW0ZV1rIzZO68IBUek8RBb1O+pur4VmmFeEQqul7n0IoV3pDkqQoERuQtcMiclQU49r7lJ5pk/TrOjiOU3Mn+xNqWG7aoIeTFvUBIn4oeHkGvaQhKuCPlGbPLDQ8yTz9+fGTgz4GbgLzL8U0b3TaoeAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
= 46.5
Question 3.The following table gives production yield per hectare of wheat of 100 farms of a village
![](data:image/png;base64,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)
Change the distribution to a more than type distribution, and draw its ogive
Answer:The frequency distribution table of more than type graph is as follows:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbgAAAHcCAYAAACkr7//AAAACXBIWXMAAAsTAAALEwEAmpwYAAAgAElEQVR4Xu29CbglRZnmLy2IKCioKLLIVUFQ2VxwQGksFREUFRUVFIRH/I+gKDbjAo4012qWcqRbREZR0D8DdIuyDpsiIMUioKyyyA4HKAVxQRFUcKl5f5f4MCrIc07mPefeOnnq/Z7nrcyM/DIy8heR8UVEngtPeILNBEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEzABEaXwFI1irawho9dTMAETMAETKB1BBzgWldlLnBLCfhda2nFudgjSWDhP41ksVwoEzABEzABExiQgAPcgAB9uQmYgAmYwGgScIAbzXpxqUzABEzABAYk4AA3IEBfbgImYAImMJoEHOBGs15cKhMwARMwgQEJOMANCNCXm4AJmIAJjCYBB7jRrBeXygRMwARMYEACDnADAvTlJmACJmACo0nAAW4068WlMgETMAETGJCAA9yAAH25CZiACZjAaBJwgBvNenGpTMAETMAEBiTgADcgQF9uAiZgAiYwmgQc4EazXlwqEzABEzCBAQk4wA0I0JebgAmYgAmMJgEHuNGsF5fKBEzABExgQAIOcAMC9OUmYAImYAKjScABbjTrxaUyARMwARMYkIAD3IAAfbkJmIAJmMBoEnCAG816calMwARMwAQGJOAANyBAX24CJmACJjCaBBzgRrNeXCoTMAETMIEBCTjADQjQl5uACZiACYwmAQe40awXl8oETMAETGBAAg5wAwL05SZgAiZgAqNJwAFuNOvFpTIBEzABExiQgAPcgAB9uQmYgAmYwGgScIAbzXpxqUzABEzABAYk4AA3IEBfbgImYAImMJoEHOBGs15cKhMwARMwgQEJOMANCNCXm4AJmIAJjCYBB7jRrBeXygRMwARMYEACDnADAvTlJmACJmACo0nAAW4068WlMgETMAETGJCAA9yAAH25CZiACZjAaBJwgBvNenGpTMAETMAEBiTgADcgQF9uAiZgAiYwmgQc4EazXlwqEzABEzCBAQmMY4DbRkwWZjpuQEaDXv4CZXCLdKO0xqCZzfD1yyj/s6TfSG+axr1+p2ty9kv3yOPywnfdHr4+Nb4ETinawRYz8Kj7K88HpH1nIO86WfIu/Uji/bhfukPapc6F9pl5AnRYvWwzncw7tXz/YZ27STpUek6vTIZ8bvWsTLMR4PbS/SalT1Q8x95ZWfasOD9KSZtkZT15mgWbn+XRK8CR/ZGZrwPco+9RXewvluNXJQZOD0m8a7dJ35beJz1FaotNqqDRb0wnwD1D15MH2rbiof+c8ie4zLbRrqkbnu+QdPMjtCXo2maWQL/YNXX3Wk7yOyf54k8jpdFRidFwF2j/2dJs2GwHOJ6N5+xUPNzGSqMD+oO0QcX5UUpaQYWhk/y7tOs0CzZf10WdL90nDwe4RQHVfdc+osseSZy/oe3zpeWkV0rnpfRvLZr1SB9NpjJH39G0sGtl1x9VcfF30/mjK87NdNLHsrKxuoStKM1WXzjTzzfK+S+cySXK3+rJPyddkwispu3uo0xjhsp2mfJdVeL5g8UM3WrgbAnCzAyeK31z4NycwUwQeJsyPUxiOfls6b9Ld0h/klj2favUkWby3Vb2rbL3qrQMendeDKV+ZnZPZpIYS5X3LYayLHG3nI2XgCWUML5H5bM6Rmwc/4v0c4ljRvXY89L+3dr+Ufq19H+l/zZ19h+2lHY/JTHzYCngaomlttJ2VELMLNgenhzyWQTp62UXkvdHpaskyvAr6VqJpaGNpFUkriF4YWum48iHJUv2adC/l3jW3F6tg9Mkno3875S+LkV++J4i5eV+j45ZduWbwi8lln+fhGMXY1SfX58/+x7ZuQvSPgzvlS4q8nupjo+XYEBZ4c3zLFv4dTtcRyfOkB6UWCqi3E/s5uz0rgS+oDO0S4y2Uhp8aZ+0qXwlg3qPd7F8F2gHGG06byu0AYID35AJoD9JPgzYeBdZmaDNflIKK/Ou855lly+ye5COeJ/pA7j/PRJtkLYYtr12KF/YztrhGXh+jHePFYkFabu0tvOk8p2Yg7OMdyvO7Z3SttH2fIl3Dr70Bx9I53ptztHJ/TIHBiTk/f60zcuwltLOlXhO0qk7rO693yzfK6Q/S3dJH5JulfJ7sIKUH/drD3Kfsn5lqGo39FN8nuJ5rpTo63Lr17eeLueyjuhvMeo2ztG/DWRkVMeozLjpFtkFzFoi/V+1/zIpb2A0YDpXpvIEDwIOlU1HynVfkRit7pyO/6ItwMM+n9Lx/T8S3x+o6Lhn/g1uvSw9XjzyYT/88QljFkM693yHxIDgJRIvGp17GC8Pfp0sLXbnpHOcz695l47/ms7RifCMLDfhR4BZU8KYUbHcFOWD17slPphH2iemPLvbGjr1t+QPm9yoExiGRZ4XZWkbap8Xm3MMJghq56VjOrrc5qd0fJdOJ56jLSNW0tjuLNFRR56k861iSTc49LK1dTLqh+3zezln56JDiA6NUwSGyGuP5MtnhV2ydK5jgEX7IlDgT6d5nrSXlHdCc3Qc1vQ9m9SFUZa87+CeO6VMaXMEdPwYILHKEEZ/EdcflaXH7vzsfLTJfOmQQWxuPB/vO/YhKfJ+lfYJ7tE3MTDvZ5PZ9fFsdO67SNRH5H2p9nkPeS9II8DVvTf5xvv9Q+2/RfpPKYLlb7S/mRTPXrc96JJaZXhqyj+ehfwZZG0t/UwinT5zOSmsTt8a/SHXszIR9hTt0Ecun6VV7XJdX6vlpFzKALeS0uZK8dDM0J6d7jYnS+fBn5zSX6ctHSg/cIjrouOjUcRLxoiO0f8KEqNIfBldRQW+M7t+ugGOkUGU4fvaz43gsn+WsCD5dgo/Duekc+QV1zDjYvZFGhUVRvCPe347S5/M0mO0TLBltoX/DzLfbrvfy/LYKHO6Wft0nGFx/4uytPxagiW2uxS+czLf+Vl61EfeDj6d+eaDHwe4R3lmeB63u2XGFva0/zrWpEMjv6hXPjMQWLBjs3SWRbFXZGnzUhqbYQW4tbI82f1v2f3y4IJflPmo4hoO52fno00+S2mPpPQfZ9ewckQA4x2lX4IBed+W+XwnpbGk368OJpMveWyR5cHu/Ozcntk5BuoEuLr3jtUX7kEfgq0oxQA672M4V7c9NH3+qAMGIAzYsc9JkR6zuLp9a17f+UCaGTDtsZ/N2Dc4puJUzt4SywfMwl4uVa07Ezz+nEp6nrb/Lm2VjtksSPtAIkhiVD7TbfIkmmM0QCoUuyFtB9m8Kbu4zO8gnaPTnq7RMUSwj+cjr3yfJYcqY9qPsezCC4atlra9NkdmJz+U9jfRlnqijroZA4nXZyd5OTA6gbBuZY3z/5z5RvlJKrlmbt4dAQK0CwZRGO0kjJUWjI4sLJ9RZckD7fKOMEtkQEsfQUceRiAaxGjHZ6YMmJnFAIsZ43clgh8dMQN1LNo9+9H2mUHkbTu5TmvDTDlsZ+1MSHXuTcDeNLv21rTPZCB/RzOX2rvTff7bdQdWvTDKERb9VN2+lYFHtDX6mFVSRtRRnQA3Yx+i36gCMONiFPQi6eMSM5YqK0cXjIgYOYTFC8Zxvr+yjqMBcO6P/7jksY4/S2q8ywgvLM+bNAIpL8B0LYIb13d7vqfpHPxKY9mhtDrfsk7VRTHAYAQEYxrKMWVmxTH1kZeDTo3OhiWQvyVN9MljJuupz63H6vQdxdPkbXQmHjQ6KfJmQBUW6XlanTbYpIwvkfM5Esttl0o8KyP6sJghZEmNd5kphRFUMN6Jo9N+zndjpdHuETPYaPvPT76Dbsp+sO69CbIEubCYLHDM6tYgVrcM5T2q+ih8oo006Vu/mTLnGXeRCHKsEJyd0ntucjA9HWfwJA0lN2YlVFIEOZZI4oWK5RL8GVFRuWF5J5wHyMxlqlFWWZ5vnM9HbDFLrLp2Omn5yCq/d77PkusgQbQsFwx5cT8psXyxg8RS7n6lY3FMfXBtdCgMLGLm2OfSx07no/869VQ33yXN7xY9MDPgddKDsxxVBj1OMUN/usRqCFbV7qvafHIfeFN1PzJtcs+3yz++2XxZ+w8OXKrHZ3CGkn4jPVPaUWIQiMWSJefCrtIOKy8zZSWzuvemD8/fT5hFf5n3j3m5y3txrqpu6pahKZMmfSsD8C+k8n0wPdvx2lY9w+PK8U+PS1n8CYwKz8qKsUbaZ0a4WtpnqfKn0pVSzK7CD5c1k1+5uSdL4MNoWNVyR/5d68VFRv+h469kaRGIgiejum2Ka/LDy3UQQY7l1rB8/3s9rp/uqXyZks7vMilvbFX50pDypaEXFk50Em+qujBLuyjbr1NPfbJbok/vnT09M4nSGOEeKhHgwqLd92vzZV7TPW7ynnW7R945x/vFqkaV5QPBeAdZtntllXOWxnXHpWPevcOlfEXjCh0z0MToU/JZKseXSPlqTHIdyqbuvVlNYoYbxooZRtDOZ0qPOWinbnuoW4Y87zr7TfpWBscnp0z5rcD/lPqtOj1WhlEMcBTu01KM+nfXPg3r/RIvLR3uR9OWUd3BEvYcaTeJDvRfUhobRjgxEmQ9OEZnvADMRl4vsQZfGp3/t1LiG7QlYBFkWSbZRfqvdI7NrWmfRsW9KPP7svPlLi/WHhLBnHK/W+IZP5wcCX77pP1hbhj9R7Bh2fDYmpl/Vn6x9PGv2qejpLyks5R0cZ98DtP5COjU0Qukt0r5khOz5LwD6ZPlEnuabzV7SnRsDCy+Lk1IrFrA83TpBumLUtj3086q2vLdmgHY9tn5Ye82ec+63ftH2Yn3ap93n/e+yn6hxHygS7/GIJRn7WdHZw7raz/vPMlz33Sed3sviTZKWQ6RGGjHsn9yG9qmyb0/r7vGcjGDG3gxmI2ZXFmouu2hSRnKe/Q6btK3kk8+MGcpl4nN0Gxhn5w203l8qrRuxbWf6OJbLpdOyI8As0BiLZnp8mkSgSk3gg4BkaUaAgfLOB+T8vJcl13ACGe+RJ6/lJjJADD33zH5k/dHJEYyVDaNmRevnLEwUmQJ42GJjpwZz1pS1bPSAYX9s3aYARHMKc/d0hFSPsuhQyvZbqU0Zl5lOp1cP9s5XUcnlPtvVJEfA4gwOgvKQj3AAs7UTz77Jc+yTLDBaAtnSuTJEudx0nek3H87HJdgg0Vde6kcmXEwaKE+YHqtxAAkn72R3wrS/5GoO/xOksq2yTtQ1QbmK51BZFmv21akTec9q2rfn1TeGB03HRrPd64UbTfKkq8M7KLzd0gEfgIPA9BlpV5tUqenjAEBeZ4XCcWWdsl7T9vlXf2ZNFfq975VPdutKe+qcu1f3JfDuvd+i3zp+OmD6EcYLHMvnguGudVtD3FNvzJUtZtLdTGD+LLdzEuZ1u1bccf3tpRXk4E/9+5rtZz65mKHUSHATImX65ujUiCX4zECftfcGIZJoFuAG+Y9ZisvliaZpeYD6n73nrE/E+h3Y5+fXQJ8z2ApEWM0fLOUL8WkU96YgAmYwMgQoM+Kb7GskLEydtewS+dR5bCJzn5+r9QtWVLk++CWEkssTPtto0XA79po1UfbS9P2GdzpqoAPSSw1/1Bq+t241vtUy6ntLWHMy8+POq6R+EUY3xteNebP29bH87vW1pobrXLz/Z+2VOpZo1XMvqX5N3nwuwe+e/5vqemgvNb7VMupb1HtYAIm0I+A37V+hHzeBOoT8De4+qzsaQImYAIm0CYC/L2IzQRMwARMwATGjoAD3NhVqR/IBEzABEwAAg5wbgcmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAibgAOc2YAImYAImMJYEHODGslr9UCZgAiZgAg5wbgMmYAImYAJjScABbiyr1Q9lAiZgAiYwUwHuVUL7uYT3d9ouzLT0Eob9lOL5txix5+9VvheorLdIN0prDLncM5X3XirnnCGX1dmZgAmMKQGCU10jYB4s/UXaNbtovvYjyC1pAQ4Mk9nzj1qA61W+vbNy74njEK1b3i/XPSaTNprG/d6pax6WjpSeNI3rF+clTd61xVlO39sE2kCg1vtUyyk97dHa4j+3ePr5KZ1zDnCj1zQms/rJA/DGSn9I+oO0wZCL3S3vD2Vl2WWa9/x4yuNMbZ84zTwWx2VN3rXFUT7f0wTaRGDhMJcoP6An30l6UPpimyi4rF0JXKYzq0qrSdd09ZreiZnM+3AV6V5pa4klS5sJmMASSGCYAW7fxO9H2jLir2PLyenz0s8kAuMDEte/L7u4o/1Y3mR7XTq3lLa/kFgOXTGlnZP57pjSttH2fIm8ucdVEsE4jBlLnv9FOn6jxH3+Kt36D9fKvS2Vyn1/L3EPvlkdJ7290nvRRAYEF0h3p2vv1/Y86W3FtSvr+P+Xfi79WbpPonzfkp6TfOv4JNdam0/ICy58Q+XZ9k9XRXowOzCdo0zwPUl6hvQaiSD2R+laCaZh3fImMB2R+fHM3OeElEZ7pb3cJMHhN9Lt6fymyYfNIxJ1grEU2ralylR0b0zABGaaAB1MP2P5Kjq8Qyqc52fnY4nyyUq7NKX/RNsVpPUkgiN5zZPCrk5pf9J2+ZRIhxb3jGDGKXzpXLF8uYsfvjAb+ZXEdf/yqMsTnqvtLimNdAIawYOR/8npWJtKI1D+XeK6gySeic79PIlAGTapnShrvgR4itK/JkUHvEvyI09mH2HfT+mU5ykSwZ0gSEe+UXKq4xP5ldtJJVSVb06WHgHuJUqjbsL/Hu1/SSLQRdq52mdQ8THphpROoFxRCpuT0rkm8uZcXme7POb96E58t7tDh9QlRnnulAiauX1WB1GePLgWbiN1SHltJmACwyFQ632q40RHH50JHUtp87PzEeD40UJcs1t2wf9N6XTyL07p+2W+26W0/5WlnZjSJrRlaYqRPsHmt8nntnSezXdSGoGUoBoWZWG7YUpcSdv/zHzyXfL/tYQ/eS2Tnfxn7dcJcCz9MYvNjRkPecIB4xsSgYy0b6fjR8884QkHaGeipk9cU7WdVGI8fx6A52TpeRDK0/nOFbYg839RSvwfWdpWme+cLL1ugCNwUs6bpTxYvk/Hb8nyZjcPlJ8qzo3qIc9mMwETGA6BoX2De1ZWHpaO6tibMyc6xrDYZ5YSHSIznbBt0847tGV5CnuTRMDh3KkSwfGVEgEKIxCFMYPDmAkSiErrKOGnKZElw/eXDun4Fdo+M+0z62OpNIzgVmfWsLT8viJxPYENdhHwnpcy+5u2BGpse4kATqBjn+W6jlTHR24zYiw/hkU5CcgEIQyGYcyWB7Gou7WVCcvTzFr5QckPpDOKjJnth+Xts3DzoQmYwLgSGNY3OAJKGIGpjj07c+Jn3WH5Pt+VMALOHWmfkfrLJEa7h6S0p2rLtzACXATDvFPjF3sED/TfJQICer5UGgGkjuX5E5xyo2x5B1uVHwH5LIk/p6As60qk/T455zPC3ZXGLBHjvgQ3ghxLqcGxjs+jOQz33zywRzuoSuOug/6icT/lcVsqPgMBBjZflhjovDalxyZvh/C1mYAJLGEEhhXg+A4TxjeiOhajcXyXzS7I9/OZVwQulqb45sP3qFjG4/L/T+Jb4LkpL36AEHaVdggeiO9dzJzQ/37M4x87dTvDvGx1nzm/HUF6nZRwjLZ3VZQlknhWljNZisM3gh0zmY8mpzo+PW7RilP8uARmDGYY3PDjHIyl5rlpPzYMesLqDlqKLHxoAibQZgLDCnCXZRDqLkPl327WyK5fPe0zC/pelk4HHsZonYBHUCB4YdtIZ0sxA7xC+/yqEVtTymcPHF8i5bPI5Fp7c7k8Y0luLe0TMMP4Tsj5XsYSaRhLehhlrAqWNyr9rxKzNr53bj7l/ajFLLeOT3bZyO4GCwoY7fMd2qddHCu9WqKe/0XiO18Er+CgpCnL22HePuO8tyZgAmNOYFgBjiWi6ETWq8ns69k1u2ifDp8flbw+Xf/v2vILvLAfaSdmfcwYL00n8llcHgRZNtw3+fCtjF9FEkCeLjH6/7l0Xzo/nQ2BlDwJxJSd5TOWFelYuS/BqJddrZOxtMkvIpmZ7inlgTKuJ4D+hxSzEn45GBaDgDo+2WUju8v3yDAGPizJEth49lWkL0gxCJpI6dosMhjimNk81pGiraQkb0zABEzgUQJ04HWMH1XwDYYROMtpYb/TDnnk4gcgGLOVf5OYfTwosfTGzGonTlbYkUojn8OzcxulNALO0yquYTZFcCR/Zlw/k1jOYrkSi+vLMm6Rzvfb8Nz8yIHn5PvZ9RKBKoyZZpn3J9NJZib8GIOy82MNylryIuB9Q7pSIiBzD2amF0v5D2Dq+OiSx1m38n1CnmW5T1daVfqk0pmx5v7w3rEij8O65EHeYYdqh8EMbYnB097pxMe1vUBigMMSNAMEeE9KDC7CVtQOnChPzihzGcldymszARMYDoFa71Mtp1Sez2mL/9HDKZ9zMYFpEfhSaocEyjZZk3etTc/lsprA4iBQ632q5ZSVfhftMws5cHE8ke+5xBP4HyLwkMQ3urZZ03etbc/n8prAbBKo9T7VcipKzQf/987mk/heJpAIbKttvkTeJjDTedfa9HwuqwnMJoFa71Mtp9kste9lAmNKwO/amFasH2uxEFhY54+y/dItlrrxTU3ABEzABAYhMKw/ExikDL7WBEzABEzABIZOwAFu6EidoQmYgAmYQFsIeImyLTXlcradgN+1ttegyz9KBIb2fxMYpYdyWUzABEzABEzgsf/Wn1GYgAmYgAmYwFgR8De4sapOP4wJmIAJmEAQcIBzWzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wY1mtfigTMAETMAEHOLcBEzABEzCBsSTgADeW1eqHMgETMAETcIBzGzABEzABExhLAg5wvav1Mp3+vXRvbzefnSECT1S+HelB6fIZukdbs11TBb9QWtDWB3C5TWCmCQwjwL0kvWQPabtQ+lSPQi+lc9cmP17Mg3r4zuapCd1sUlqluOnGOv7abBbE91qEwN90NCGdUpPLHPntXdO3rtvqcqRdV2nFIhOOj5Bukm6QzpDWLnyGcbi9MjlfWrVPZnXLQz/wGeln0jUSA7ut+uTt0yYwFgR4sevYkXLC9x7pyV0u2Db54NfNp8ulM5o8J5Vro4q7zFOaZ3AVYGYx6Vjdq84MblJ+vxtyuQhwP5V2rNAy2b0YvF0gnSktK3H8Benn0sqZX6/dOu8aec+XniedIHWbwTUpz/7K5y5ptVS4t2j7iPTadOyNCbSRQJ33aSpo1TECHCNW/D/S5YIfK50OwAGuCyAnVxJY3AHu+5WlWjTxHaldr5clM4hjiZtAV8fqvGsErlh56RXg6paHVYuHpT2KAp6lY95Xmwm0lcDCYSxR5g//bR3cIX1aWrqgsqWOGW2yDFJlaynxJOlO6Xbph9ImmeNu2qcDQLtLc6X70jEvOvY06atSR7pZulJ6Gyd6GEuqx6fzvNSUkSWa0jZUArMIvgfx7aNcevqA0hjB43O1dI70SilsXe1E+Y/TPstMHel+iQ58+XDss/24zrP8xTLYbdKB0pPSNeU93q30WySW+n6dfLptttYJnhv/jsRS20qF8xo6Pk36o8RM/UsSnTf5w+0NEoOcB6R8JjWpY+7P809IYa/RzsnSVUncf4fsfJNd2s5eEm2AsqBDswz6ta8m96ryfZcSfyVdl538s/Yvljg3LIPh32tkVrc82ygv2g/vW24cv0piBmszgTHTmhYAACAASURBVLElUGdUycMzg6PT/rDENbsURPhm8Arp4HQ+X6JkaYRg9Q0pgu4ntU8HwXcwbAVpHYm8CVz7SetLdGIEOH6Q8COJ4BIdMy85ne9WUi+bo5Pk222J8rc6911pU2lziQB8rpQbgY1Rc9jbtUPwek5KYDlrQqIz5zvk1yXu9z6JEfS+Uj8jmFGWDZIj32AI5Cem4/IeBFKC7E4SnW83Y0kKTh9MDrCmYyaQR32w5fsMAxSCO/W3p8QMpQyek0orlwq3VVoZ4GgLBMm4B0Hol1JZXwwA4NvPJuVQ3pdr6rSvbnnTwVNfDN4IwAwsjpH49pwbbKpmPAy4CEhPLfyrDuu+a3Et7Z5AXmV1y8P7w32XKzJ5T0p/c1XmTjOBFhCo9T7VctLDRoBbVvt8d7hRio5rM+1/LwGpCnCH6Ryd/DOSDxuu7UhnZ2l0qpTn9CyN7xt0iMxWOJcHGdwuki7N/Kt256RruwU48l0vu5AZ6l+keD5OvSA7H7t3a2ePIp2y3CstnaXDphxBl9k9Vwnc84vFCYIS5WM2FMY9CGjwCmOG2c2u14mfFie30DH5RrAJvgTu3C7RwXQDHMtjTynyI3jQcec2aICr276K204dwp0Ax+AMY4Z4tMRMfsOUxuYXUt5W49Q87cCR2W8/q/uuRT69Alzd8vyXMqNdlUa9Ux4GRzYTaCOBoS9RAoFARRBjtrVdovJZbQ/oQYjO9DaJ2UkYo97LpddKeTDgPDO1MDry70ssj2HMPHJjxsRSC7OS6RozyXzpiQBOmZ6ZZcgyD6N8Rvgss3YkOvCqwEeZ/iqFMQqPmV6WvMhucGAWkdtP0gEMc2OWS7nD6JSrjDIyG6nihn9w3TRdTEDL7YriuMkhbWWuxGzjLqkjMdOrYtYk39K3afvKr79HB6wUxHM+oP3dJMq+f3kjH5uACYwOgTJwDKtkLDUS1PaRbpUYpV/UI/Nn6RyBoTQCHstuT5d+k528v3TUMXlg5TIRsxg6JTryPySfphuW4XJjOQ9jWRTj3vMlgsqrpSgrz07gK60qv8ir9I3jeL7y2WNQEOfDv/Trl+8OcuA7XG6UM2bVz00nynyrlgS73atMP14Ja0ncl++KGCsBm6T9YW2atq9+9+UbJAOevJzMYqsGUcz4mAnlg7d++Q/jfN3y4Ec/wHuSD4goN5a/dynJGxNoB4GZCnAP6fEPkRjh0ont3gcHL1m+PBnupLF8UgaEquzIA9tAIqDNpjHLYQbGDy5mqkOI5ys5xXGcb/rccd23dOFePS5mJoNxP76Tha2Y7ccuAwB+7Zfb8sUxvOA2KUVwK1yGdjhI+2Jw9SfpkaI0PGM+KLlGx1tWlPj5SuObLe/EbFrd8uCHMWvm+2oY5cbi/D/OeM8EWkLgn2awnIcpbwITI9cf9LnPOTrPC5Yv+dFB8t2DH6fky3ndsorvHwS43Fh+Y0bZy+IbRHTKfM96dq8LinPMMkuj8+u37Fhe0+s4OMSPbsI3jmE4HbtXFzEbKbmR16T0xpRpLE3GUmXc62Wxk23v0z6zmWWztPJHGVXMcF+1Ir+6SdRj1CFtexuJehikfX1Z15ffL3mu9aQrs4KdpH2+B780S8MPXidmabO1W7c8p6tABO/XFQXjmOXvBbNVYN/HBBYHgbofvlla2r4o4Do6Xr1IO1jH5Jn/AGI1HdMpHiFF0GU2wZJJ3qFzDdfyDaQ0OrL50oXSSukks4tzpX1L5+KYHwCQ71sllhSZrURHNU/7BIHceE78WfbEKP+D0hkSy7F0spMSPgT63C7VwXFF2uE6vrFIqzo8UIkMGDZMJ1k2ZGm37ECr7lGVX6Qx8yA48Mu5sHdqh84tlj6pF0bz10sMRghQ1MOdUjl7JJjxDXVXCaMdXCHBY+LRpKl/+RbZkdZMaQRTBjME3NyO1cHlRVrV4Y5KZGbFrIuATZvC6rav5L7I5igd3SxFGWlnBD14bZ55UucXSLSBWJY+SPu/kAh8dQw+TewEOXcLQE3Kw0oL9RiDC5aMCXqvbVIY+5rAiBGo9T71c+Ll7Uh83+IHH2d1eUhGs/gxqyNPXqjPZL5ra/9k6S7pDuk8KZ8t8NJxDdeyDNiRIpBpd8pYBmNptCPRGTPCJlDysvezA+RA/nTgBBKMZ6G8dJod6YUSfjwn5bhb2k7C3iDRiROA+CHIXInneECaL1HWjvSw9JAUPxYhAMOODpPz5YBASYvYnjoiGBLYWPo6SIoOtbxHR+fK72qLZJYdUP6LJcoMt1OkFxfOlO1UiW9QPPt+EjzKAMdlH5PgiY6RCD4wo0PeQ8IIlAQEvutdLeHHfelcOxKBiS2DB7ixTx10s+V0ghnJrRJBMuoG/37tq1ue6+sEgxR+SUmb4rlpF5tVXMCA6kiJgMiy65nSiyr8uiXBp459U04diXbEgID9fDYZedQtD4OXvSXKzDMymKjbbuJe3prAqBGo9T7Vchq1J3N5Zo0Ao/+qADdrBRijG/ldG6PK9KMsdgIz8mcCi/2pXAATMAETMAETiO9dJmECJmACJmACSxwBL5sscVVe+4EvkSffGPlGybc1vuPZpk/A79r02flKEygJLKzz4wu/dCU2H5uACZiACYwFAQe4sahGP0QLCPhda0EluYitIeAfmbSmqlxQEzABEzCBRgT8I5NGuOxsAiZgAibQFgIOcG2pKZfTBEzABEygEQEHuEa47GwCJmACJtAWAg5wbakpl9METMAETKARAQe4RrjsbAImYAIm0BYCDnBtqSmX0wRMwARMoBEBB7hGuOxsAiZgAibQFgIOcG2pKZfTBEzABEygEQEHuEa47GwCJmACJtAWAg5wbakpl9METMAETKARAQe4RrjsbAImYAIm0BYCDnBtqSmX0wRMwARMoBEBB7hGuOxsAiZgAibQFgIOcG2pKZfTBEzABEygEQEHuEa47GwCJmACJtAWAg5wbakpl9METMAETKARAQe4RrjsbAImYAIm0BYCDnBtqSmX0wRMwARMoBEBB7hGuOxsAiZgAibQFgIOcG2pKZfTBEzABEygEQEHuEa47GwCJmACJtAWAg5wbakpl9METMAETKARAQe4RrjsbAImYAIm0BYCDnBtqSmX0wRMwARMoBEBB7hGuOxsAiZgAibQFgIOcG2pKZfTBEzABEygEQEHuEa47GwCJmACJtAWAg5wbakpl9METMAETKARAQe4RrjsbAImYAIm0BYCDnBtqSmX0wRMwARMoBEBB7hGuOxsAiZgAibQFgIOcG2pKZfTBEzABEygEQEHuEa47GwCJmACJtAWAg5wbakpl9METMAETKARAQe4RrjsbAImYAIm0BYCDnC9a+oynf69dG9vN5+dIQJPVL4d6UHp8hm6h7M1ARMYUwLDCHAvEZsF0kPSQulTPVgtpXPXJj+uOaiH72yemtDNJqVVipturOOvzWZBfK9FCPxNRxPSKTW5zJHf3jV967qtLkfadZVWzDKp61f3vr38NtPJc6XbpI70PYn3sLRNlHCW9DOJ9+4n0rtLJx+bwJJMgBe7jh0pJ3zvkZ7c5YJtkw9+3Xy6XDqjyXNSuTaquMs8pXkGVwFmFpOO1b3qzOAm5fe7IZeLwPVTaccKLZPdq65fr+LVeddeowwekT6TMmLQ+CXp19IaWeZra5+Z71elGMjuqn3u8bbMz7smMK4E6rxPUy9EHSPAnSHh/5EuF/xY6WcmHwe4LpCc/DgCizvAff9xJXp8AgGujt/jr/xHSp137Wy53yXlqy9P1fED0uFZ5ntpn/yen6Wxe5/0n0WaD01gHAksHMYSZQ7m2zq4Q/q0tHRBbEsdsyzJckmVraXEk6Q7pdulH0ossYTtph1eWLS7NFfiZeX4hOT0NG0ZsXakm6UrpX6jVZZUj0/Xs5xDGfn2VtqGSmAWwaj4QokRcm4f0MEFEj5XS+dIr8wc1tV+lP847W8vdaT7JTrw5TPfXrsf18kbpJsklqgOlJ6ULijvwXLULRJLfYzwe9nWOslz49+RjpBWKi5ghnCa9EeJmTozhy9I5A+3N0gMcuhs85nUpI65P88/IYUxGzlZuiqJ+++QnW+yS9uhU6cNUBZ0aJZBv/bV5F6L0/cVujnv0N+zQvB5gLaQt/W/pvNLF4Xluyb1ZTMBExCBOqNKQDGDo9P+cLpml4Le+Trm5Tw4nc9ncKspjWD1DSmC7ie1/2eJ72DYCtI6EuUhcO0nrS/RiRHgeHF/JBFcomN+l/Z5mbeSetkcnSTfbkuUv9W570qbSptLBOBzpdwIbO/IEt6ufYLXc1Iay1kTEp0530O+LnG/90kPS/tK/YxgRlk2SI6raksgPzEdl/cgkBJkd5J+lXyqNm9RIpw+mE7C+mKJQB71wfYaic6V4E797SnxI5wyeE4qrVwq3FZpZYCjLRAk4x4EoV9KZX0xAIBvP5uUQ3lfrqnTvrrlzcyM+mLwRgBmYHGMVH7zquvX7T6k13nX7pYfs7jSrkjXE+CxZ0gMVpitLSfBmGVN+LxMspnAuBOo8z7VeukAFQFuWe3/XLpRio5rM+3zIRyrCnCHKZ1OnpcyjGs7Uv4y06lS6NP/4faElbVPh8hshXN5kMHtIunSzL9qd066tluAI9/1sguZof5Fiufj1Auy87FLZ7RHkU5Z7pXykTVsmLH2sufqJPf8YuH0QR1TPmZDYdyDgAavMGaY3ex6neA7U25b6IB8I9gEXwJ3bpfoYLoBbhVd+5QiP4LHCUXaoAGubvsqbjt1CHcCHIMzjABytMRMfsOUxqauX3bJ43brvJCn6ipmzwxmwp6qHWbNXE+gDXueduZLf5J+IxHwXv3YWe+YwHgTGPoSJbgIVAQxZlvbJX6f1faAHizpTFliYXYSxhIMo/bXSuUyCzO1MDpyvn2wPIYx88iNGdOrJGYl0zVmktdlFxPAKdMzszSWCRnlM8JnmbUj0YFXBT7KFEtI2p1aTouZHsdVFhyYReTGL+MwGObGLJdyh9EpVxllZDZSxQ3/4LppupiAlhszh+kabWWuxMzwLqkjMdOrYjbde3Bd0/aV34tgwkpBPCeBZDeJsu+fOdb1y/Oezv6/6iLa3UESbY5BzL9L/NgEI5hhDMj45k25V5QYCP6bdI4EY5sJjD2Bf5qhJ2SpkVH9PtLLJUbpF/W417N0juW80gh4jFSfXpyo8iUPjJe6k4mZB50SHfl0jWW43OIbxhNTIveeL1FORshrShMSgY5OqLSq/CKv0jeO4/nKZ49BQZwP/9KvX747yKGTiY6RcsasmhkKVuZbtSSYXPtujpcHg6D3Ssw2JqTvSFXM+mbWw6Fp++qR1dQpvkEy4Nmkj2Ndvz7ZLHL6ah29XmJQwsybwR7tjBWUh6SonwO1j7HaQDBmwMggh08Fh0+dsZnAmBMoZ0bDelxetEMkRrh0YvwopJcRDPPlyfAljWW5MiBU5RXLZHyfIqDNpjHLYQbGDy5YCpoJi+crOcVxnG9677juW7pwrx4XM0PBuB/fycKYHZTGACBmFHFu+cIJXnCblG4oMxjy8SDti0ELs6JHijLxjPmgpK7fMB6NweKbi4xO1DFL0wQyjFknqyIxGEvJU99sWXaGf16Pcd5bExgbAjM1gwPQYRKBiRnGD/oQY9mEZal8yY8Oku8ejDjz5bxuWcW3OgJcbox0mVH2MoIoFp0y37Oe3euC4lz+PSRO0fn1W3ZscIvHOGxcXBTHMJyO8T2Q2UjJjbwmpTemTGNpMpYq415VP1i4TydXkJYNJ22ph9yqmHF+1cKvySH1GHVI295Goh4GaV9f1vXl90ueaz2JZeCwun7ZJdPaZaa7YXEl3+BeJx2RpVMH+JYDDVYXmNENMvMubu9DE2gvgTofvnk6lki2Lx5zHR2vXqQdrGPyzH8AsZqOeSF5QSPoMpvgG1LeoXMN1/INpDQ6svnShdJK6SSzi3OlfUvn4ngNHZPvWyWWx5itvDT5zNOWIJAbz4l/LHtS/gelMySWY+lUJpMPgT43RtnHFWksGd1YpFUdsuzEgCE6OJYNb5IYvedWdY/CZZHDLXVEcHhPlvpO7S+QYumTerlGYlmMwQgBinq4UypnjwQzZhK7ShjtgCVPmE08mjT171VSR6LTxQimDGYIuLkdq4PLi7Sqwx2VyIyF2RQBmzaF1W1fyX2RzVE6YtYTZaSdEczgtXnmWdcvu+Rxu3XeNZ6RGW/M3Glv8Dm5yG0nHZPfZ7L0N2kfvocWvj40gXEkUOd9mnpJetnKOtmR/iDxg4+zujgz6sWPWR150jHmL9/aOuYlvUu6QzpPymcLW6druJZlwI4UgUy7U8YyGEujHYnOmBE2gbIcxSrpcXaAUigTHXh8v+BZKC+dZkd6oYQfz0k57pa2k7A3SHTiBCB+CDJX4jkekOZLlLUjMXpmCTd+LEIAhh0dJufLAYGSFrE9dUQwJLDdLh0kxTer8h4dnYNbHaP8F0uUGW6nSC8uLqRsp0p8W+LZ95PgUQY4LvuYBE90jETHDDOC5h4SRqBkUHC/xLcl/Lgvy4EdicDElsED3NinDrrZcjpxunSrRJCMusG/X/vqlidLfQxS+CUlbYrnpl1sVlxQ16/bfUiHTz97uRzOkeAKM9rcPlLVjPitSr9AIiDCgwHFR6WlJZsJjDuBOu9TrZdu3EH5+boT2F+nqgJc9yt8phuBWi9kt4udbgImsAiBGfkzATM2ARMwARMwgcVOIL53LfaCuAAmYAImYAImMNsEvGwy28Tbc79LVFS+MfKNkm9rfMezTZ+A37Xps/OVJlASWFjnxxd+6UpsPjYBEzABExgLAg5wY1GNfogWEPC71oJKchFbQ8A/MmlNVbmgJmACJmACjQj4RyaNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHOB619RlOv176d7ebj47QwSeqHw70oPS5TN0D2drAiYwpgSGEeBeIjYLpIekhdKnerBaSueuTX5cc1AP39k8NaGbTUqrFDfdWMdfm82C+F6LEPibjiakU2pymSO/vWv6NnXbQRdcJF0h3S79WHp3kcmKOj5Cukm6QTpDWrvwGcbhZsrkXOk2qSN9T+I9LG22ylPe18cm0BoCBK06dqSc8L1HenKXC7ZNPvh18+ly6Ywmz0nl2qjiLvOU5hlcBZhZTDpW96ozg5uU3+9moFz7pPuvlvJ+krYnSodl92LwdoF0prSsxPEXpJ9LK2d+vXbrvGuvUQaPSJ9JGXGfL0m/ltbIMh9GeXqV1edMYNQJ1HmfpoJWHSPAMWLF/yNdLmDUSwfgANcFkJMrCSzOAPcilegvUjn4IZjkae9I7Xq97AkYxLHETaCrY3XetbOV0V1SvvryVB0/IB2e3WQY5alTZvuYwKgSqPM+NQpwO+pJWb7pSEsXT72ljhn1HixVBbi1lH6SdKdEHj+UNpHCdtMO16HdpbnSfen4hOT0NG2/KnWkm6Urpbelc902LKn+SiLfX0osnfLtLSxmcBsqgVkE34MulMqlpw8ojRE8PldL50ivlMLW1U6U/zjtby91pPslOvDlw7HP9uM6z/IXy2AsUR0oMaPAynuwhHaLxFIfI/xetrVO8tz4dySW2lYqLqBTP036o8RMnZkDnTf5w+0NEoMcOtt8JjWpY+7P809IYcxGTpauSuL+LAWWVifA0Xa4798lyoIOzTLq177Ke8bxAdq5u9vJLJ0y0h5LY/nw1jKxy3GdF/K3uvb7FdfD8BdZ+jDKU3EbJ5lAawjUeZ8aBTg67Q9LZLxLgeF8Hb9CqgpwLP3QOXxDipHpJ7X/Z4nvYNgK0joSeRO49pPWl+jECHD8IOFHEsElOuZ3aZ/Odyupl83RSfItR+lcQ4CjU/mutKm0uUQAPpeTmRHYGDWHvV07BK/npIRltJ2Q6Ij4Dvl1ifu9T3pY2lfqZwQzyrJBclxVWwI5AwesvAeBlCC7k0QQ72Zv0Qk4fTA5wPpiiUAe9cH2GulnEsH9ydKeEjOUMnhOKq1cKtxWaWWAoy0QJOMeBCEGGWV91QlwuuwJk1J5X9LrtC/8quw8JaL3S7SvG6WLpDIQw4YVitIYcBF0mWX1szovJMGWWVxpfBvk+qelE8MoT3kPH5tAmwjUeZ8aBzi+P/DdgY4gOi4+ijOSxaoCHN8y6OSfkXzYcG1Hyl9mOlUKfXrmx/cNOkRmK5zLgwxudEaXZv5Vu3PStd0CHPmul134ae3/RYrn49QLsvOxS2e0R5FOWe6Vls7SYcOMtZc9Vye55xcLJ4IS5WM2FMY9CGjwCmOG2c2u14mfFie30DH5RrAJvgTu3C7RwXQD3Cq69ilFfsfomAFLboMGuLrtq7jt1CGzL2btF0jPlqhzBiUErY9KYcyeqgLPPKXDkdlvP6vzQp6qTJg9M5gJI3gye+X61VPiMMqT3cK7JtA6AgvzDnpYpSdQEcSYbW2XMv2stiz1dDM609skZidhdCCXS6+V8mDAeUbSYXTkLNmwPIYx88iNGdOrJGYl0zVmktdlFxPAKdMzszSWCb8t3SSxzNqR6MCrAh9l+qsUtkA7MdPLkhfZDQ6XFQ4/SccwzI1ZLuUOO3rR048dUUZ+gVfFDafgyuwVI6DlxsxhukZbmSsx27hL6kjM9KqYTfceXNe0feX3YpBAANlLYpWBdvlfEoOSz0usHMym/atuRrs7SKLNUb5/l/hRCfantPXGBJZ4AjMR4IDKUiOj+n2kl0uM0i/qQftZOsdyXmkEPEaqTy9OVPmSB8YyUScTMw9Gt3Tk0zWW4XJjOQ+Lzo17z5co56ulNaUJiUBHJ1RaVX79Osp4vvLZY1AQ5+NepV9ZhjiO61hy62QicFHOmFUzg8TKfKuWBJNr383x8mAQ9F7pedKE9B2pilnfzHo4NG1feVZ/0AEzI4JwbgxSCDTPT4m096pBFEuGXJ8P3hbJqOHB1fJ/vcSghJk3gz3aGT/yekiK+pmt8uiWNhMYTQLlzGhYpeRFO0TaX6IT40chvYyXMTrS3I80luXKgFCVVyyT8X2KgDabxiyHGRg/uPjNDN04nq/kFMdxvunt47pv6cK9elx8TzrH/fhOFrZixTUMAGJGEaeXL/zgBbdJ6YaKPIaZNEj7Yql9Xal8nhjkxCCRALhlRaEJgLdLvBPDMgaLby4yO1HHLE0zw8RmszxFUXxoAqNBYKZmcDzdYRKBiZHrD/o8Lr84ZFkqX/KjQ+FHKedL+XJet6zi+wcBLjdGuswoexlBFItOjO9ZfG+pa/n3kLiGGVm/Zce6+eMXHDYuLopjGE7H7tVF10klN/KalN6YMo2lyViqjHu9LHayLUt5zGaWzdKoh9yqmHGeH85M16jHqEPa9jYS9TBI+zotFWb9olDr6Zi2zdI6dpK0svTSdMyG54cXwWdYxkx3wyIzllBfJx2Rpc9WeYb1XM7HBBYLgTofvikYSyTbFyVcR8fx0TtOHawd8sx/ALGajukUeUEj6DKb4BtS3qFzDdfuJpVGRzZfulBaKZ1kdnGutG/pXBzzAwDyfavE8hizleio5mmfIJAbz4l/LHtS/gelMySWY+lkJ5MPgT43RtnHFWmH65iZQj87UA50qtHBsWx4k1R2oFX36JU3Mw+Cw3syp3dqf4EUS5jUC7OC6yUGIwQo6uFOqZw9EsyYSewqYbSDKySYTTyaNPUvy3wdac2URjBlMEPAze1YHVxepFUd7qhEZlZPlwjYtCmsbvtK7otseE6WBc+WqFuMmSe8PpqO2VDnF0i0gVhiPUj7v5AIfHWszrvGMzLjjZk7ZYLPycUNhlGeOmW2jwmMKoE679NUp9TLeHk7Et8qfiWd1cWZ0Sx+zOrIk47xM5nv2trnJb1LukM6T8pnC1una7iWZcCOFIFMu1PGMhhLox2JzvhKiUAZo3rtdrUDdIYy0YETSDCehfLSaXakF0r48ZyU426Jb0gYnR6dOAHoMmmuxHM8IM2XKGtHelh6SMIHIwDDjg6zI5UDgimnzPbUPsGQwMbS10FSdKjlPTo6B7c6Rvkvligz3E6RXlxcSNlOlfg7OJ59PwkeZYDjso9J8ETHSHTMMCNo7iFhBEoCAt+NCCL4cd9HpI5EYGLL4AFu7FMH3Ww5nThdulUiSEbd4N+vfXXLk3Ta+FESbRPuBGaepzQGVEdKN0sEoTOlF5VOPY7h089eLodzJLjCjDa3j0QgLm3Q8pT5+dgE2kSgzvvUN8C16YFd1uET2F9ZVgW44d9p/HOs9UKOPwY/oQkMhcCM/JnAUErmTEzABEzABExgEALxvWuQPHytCZiACZiACbSSgJdNWllts1LoS3QXvjHyCI7PYAAAIABJREFUjZJva3zHs02fgN+16bPzlSZQElhY58cXfulKbD42ARMwARMYCwIOcGNRjX6IFhDwu9aCSnIRW0PAPzJpTVW5oCZgAiZgAo0I+EcmjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzgetfUZTr9e+ne3m4+O0MEnqh8O9KD0uUzdA9nawImMKYEhhHgXiI2C6SHpIXSp3qwWkrnrk1+XHNQD9/ZPDWhm01KqxQ33VjHX5vNgvheixD4m44mpFNqcpkjv71r+jZ120EXXCRdId0u/Vh6d5bJ6tqn/Vdpxcxv0N1ju9wj7vuU7AabaP8s6WcS791PpLzMg5bF15tA6wnw4tSxI+WE7z3Sk7tcsG3ywa+bT5dLZzR5TirXRhV3mac0z+AqwMxiEp16nRncpPx+NwPl2ifdf7WU95O0PVE6LLsXAe6n0o4VWibz67Vb512Dxf+quMe3lXZxlvna2mfm+1UpBrK7ap97vC3z864JjCuBOu/T1AtRxwhwZ0j4f6TLBYx6z0w+DnBdIDn5cQQWZ4B7kUrzF6kc/KxRpBHgvv+4kjdLqPOuserxmopsGQB8IEvfS/vk9/zC9z4d/2fF9U4ygXEjsHAYS5Q5FEaRd0iflpYuaG2pY5YlWS6psrWUeJJ0p8QS0A8llljCdtMOLyzaXZor8bJyfEJyepq2jFg70s3SlVK/0SpLqsen61nOoYx8eyttQyXQiTAqvlBihJwbncsFEj5XS+dIr8wc1tV+lP847W8vdaT7JTrw5TPfXrsf18kbpJuk26QDJWYUWHkPlqNukVjq+3Xy6bbZWid4bvw70hHSSoUznfpp0h8lZupfkr4gkT/c3iAxyHlAymdSkzrm/jz/hBRGR32ydFUS92cpcDpG26FTpw1QFnRollG/9tXtnjvrBDN46jS3uyvSuuUxzHRmkz8qMmQpnUD23Sz9r2l/6cKX75rUl80ETEAE6JTqGDM4Ou0Pp2t2KS46X8evkA5O5/MZHEs/BKtvSBF0P6n9P0u8vNgK0joS5SFw7SetL9GJEeB4cXnx6YiiY36X9nmZt5J62RydJN9ylM4186TfSnQem0qbSwTgczmZGYHtHdnx27VP8HpOSmOZakKiM+d7yNcl7vc+6WFpX6mfEcwoywbJcVVtCeQsl2HlPQikBNmdpF8ln6rNW5QIpw+mk7BmuYtAHvXB9hqJAQrBnfrbU+JHOGXwnFRauVS4rdLKAEdbIEjGPQhCv5TK+mIAAN9+NimH8r5cU6d9dcv7PJ1A75doXzdKF0llIGYGR70yyCNQMwA5RnqJVNfqvmtlft9UAixze4YOGKwwW1tOgvFnJPi8LHf0vgmMKYFa71MtJwGKALes9n8u0RFEx7WZ9r+XIFYFOL5l0MnzUoZxbUc6O0ujU6U8p2dpK2ufDpHZCufyIIMbndGlmX/V7px0bbcAR77rZRcyQ/2LFM/HqRdk52OXUf4eRTpluVfKR9awYcbay56rk9zzi4XTB3VM+ZgNhXEPAhq8wvLlqyx5avd6ie9HuW2hA/KNYBN8Cdy5XaKD6Qa4VXTtU4r8CAonFGmDBri67au47dThrRKz9gukZ0vUOYOSv0sflcKoHwIcgziMmeTREtdumNL6beq+a3k+K6Z7MOgo7XlKmC/9SfqNRMB7denkYxMYUwJDX6KEE4GKIMZsa7sE7rPaHtADIp3pbRKzkzA6EEbtr5XyYMB5RtJhdOR8+2B5DMs/tHPMjOlVErOS6RozyeuyiwnglOmZWRrLhIzeGbmzzNqR6MCrAh9liiUk7U4tp8VMj+MqCw7MDnL7STqAYW7Mcil3GJ1tlVFGZhlV3PAPrpumiwloufGrwukabWWuxMzwLqkjMdOrYjbde3Bd0/aV34tBwlMllj9ZZaBd/pfEoOTzEisH2D0SKwrB4wHt7ybxjPtPecyM7axsqROCV24MyPjmTXkIggwE/01i6RzGNhMYewKMRmfCWGpkVL+P9HKJUfpFPW70LJ1jOa80At4y0tOLE1W+5IHxUncyMfOgs6Ejn66xDJdbfMOIzo17z5coJyPkNaUJiUBH4CutKr/Iq/SN43i+8tljUBDnw7/065fvDnLoZKJjpJwxq2aGgpX5Vi0JJte+m+PlwSDovRKzjQnpO1IVs76Z9XBo2r7yrP6gA2ZWBOHcGKQwwOHbVzfjWyUDo026OQwhnSD6tYp8DkxprDYQZAnMDHL4VHB4hb+TTGDsCJQzo2E94EPK6BCJkSudGD8K6WUEw3x5MnxJY1muDAhVecUyGd+nCGizacxymIHxgwuWgmbC4vlKTnEc55veO677li7cq8fFzFAw7sd3sjBmB6UxAFiqSFy+OIYX3CalG8oMhnw8SPu6UWVZVyqfJwY5MUhkcMNS4CNF2fHrN3iZ7uO+TheyFHpqRQbMJlkViXKGC99sWXaGf16PFVk4yQTaTWCmZnBQOUwiMDHD+EEfTCybsCyVL/nRofA9gxFnvpzXLav4VkeAy43lN2aUvYwgikUnxvcsvrfUNWaZpdGp0YkMy4JD/Ogm8o1jGE7H7tVFzDJKbuQ1Kb0xZRpLk7FUGfeq+sECS3ksCS8bTtqWP7aoYob7qtk1TXepx6hD2vY2EvUwSPs6LRWCgJHbejqgbRNEsC9L5XdOnh+/K5PPsDcMHI+Uqt4P6oBZcRmYWV1gRjfIzHvYz+H8TGCxEaj74ZsXbfuilOvoePUi7WAdk2f+A4jVdMwLeYQUQZfZBN+Q8g6da7iWZZnS6MjmSxdKK6WTzC7OlfYtnYvjNXRMvm+VWB5jtvLS5DNPW4JAbjwn/rHsSfkflM6QWI6lU5lMPgT63C7VwXFFGktGzBT6GctOdKobJkeWDW+STiwurLpHr7y31EmCw3syp3dqf4EUS5/UyzXS9RKDEQIU9XCnVM4eCWYsie0qYbQDljxhNvFo0tS/LPN1JDpdjGBKZ03Aze1YHVxepFUd7qhEZizMpgjYtCmsbvtK7otseM6rpbMl6hZj5gmv/EcmR+mY2VE8C+2RoIff5lIdq/uukRdtjxlj+X7FfXbSDvl9Jrvxm7QP30OzNO+awLgSqPU+9XPi43VH4lsFP/g4qwstRrP4MasjTzrG/OVbW8cnS3dJd0jnSflsYet0DdeyDNiRIpBpd8pYBmNptCPRGTNyJlCWo1glPc4OUAplogOP7xc8C+Wl0+xIL5Tw4zkpx93SdhJGp0cnTgDihyBzJZ7jAWm+RFk7EqNnlnDxwQjAsKMj7EjdOqwpZ9meEsGQwHa7dJAU36zKe3R0Dm51jPJfLFFmuJ0ivbi4kLKxHMa3JZ59PwkeZYDjso9J8ETHSAQfmBE095AwAiWDAr7rEUTw474s83UkAhNbBg9wY5866GbL6cTp0q0SQTLqBv9+7atbnqTTxo+SaJtwJzDzPLkxw2Mwc61E24MP7WezRbx6H8Cnrn1OjrDqZQzYLpBYAoYH5SYoz9SniV5l8TkTmG0Ctd6nWk6zXXLfb2QI8J21KsCNTAFbVBC/ay2qLBd15AnMyJ8JjPxTu4AmYAImYALjTyC+d43/k/oJTcAETMAETKAg4GUTN4luBC7RCb4x8o2Sb2t8x7NNn4Dftemz85UmUBJYWOfHF37pSmw+NgETMAETGAsCDnBjUY1+iBYQ8LvWgkpyEVtDwD8yaU1VuaAmYAImYAKNCPhHJo1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4HrX1GU6/Xvp3t5uPjtDBJ6ofDvSg9LlM3SPJSXb4/SgC6X1lpQH9nOaQB0CvBS97CU6uUB6SML3Uz2cl9K5a5Mf1xzUw3c2T03oZpPSKhU3nac0B7gKMLOYdKzuVSfAzZHf3kMuF/emXXfTU7L7raj9I6SbpBukM6S1s/P9dvu9a1y/utStLNy/yl6dXeMAV0XIaeNIYOHSQ3iqnykPXrojpV2lvaSvSH+uyPvtSosXbK0uPhWXzXjShO6wn3SK5GA247hn7AZzlPMnJAYlw7QvKrNrigzfouM1pT+mdAZvp0rMNjeQHpEox3xpI+lX0rCMslCm0hhklka5/kM6XdqmPOljE1jSCdQZVcKIAMeIFf+PdIH2Y6WfmXye3MVncSTPSWWiIyrNM7iSyOwf153BTapovxty8VhleE1FnswoP5Clv0P7tP18hkQbZ4n7CxXXVyXVedcYTH6/6uIuae9T+g+lD0ll+bpc4mQTGAsCdd6nqZeijhHgdpRulzpSOTvcUmknSgdL5FkGOGZ0J0l3SuTBS7mJFLabdrgO7S7Nle5Lxyckp6dp+1WpI90sXSm9LZ3rtmFJldE1+f5SWiDx7S0sAtyGSqBTY4R+oVQuPdHZXZB8rtb2HOmVUti62onyH6f97aWOdL9EB758OPbZflznWf5iGew26UDpSema8h7vVvot0t+kXyefbputdYLnxr8jsdS2UuG8ho5Pk5i13CN9SaLzJn+4vUFikPOAlAeaSR1zf55/QgojcJwsXZXE/XfIzsdunQBH2+G+f5coCzo0y6tf+6q4bdekjXXmN1Lehikj7bG07ynh1jKxy3Gdd61JgKN8d0gvkz4kkX8egLsUw8kmMBYE6rxPjQIcnfaH04u0S4HofB2/QqoKcKspnc7hG1L88OWT2meZk84EW0FaR6LQBK79pPUlOjECHD9I+JFEcImO+V3ap/PdSuplc3SSfLvN4H6rc9+VNpU2lwjA50q5EfwYxYexHEvwek5KWEbbCYnOnO+QX5e4HyPsh6V9pX5GMKMsGyTHVbUlkDNwwMp7EEgJsjtJvZbIWG6D0wencnmU9cXaEsijPtiyNMaSNMGdznNPiRlKGTwnlVbOpLZVWhngaAsEybgHQYhBRllfdQKcLnvCpFTel/Q67Qu/uvZNOVL23GDDCkVpDLgIuk8tT1Qc13khCXC0n29LDAgY6Bwj8S28tP+phKNSogNcScfH406gzvvUOMAtK2o/l26UouPaTPuMZLGqAHeY0unkn5F82HBtRzo7S6NTpdB8TwhbWTt0iMxWOJcHGXwuki4N5y7bOenabgGOfPOR76d1/Bcpno9sX1CR991K26NIpyz3Sktn6bBhxtrLnquT3POLhRNBifIxGwrjHgQ0eIUxw+xm1+vET4uTW+iYfCPYBF8Cd26X6GC6AW4VXZv/SIN86axPWPQWUzPcy4u0qsNJJVYFuLrtqyrPMm1FJTCLL2fwv1Ba3lbjunnagSOz335W54WkHRDgGCxiT5OOlijThimNDWxpZwyCMAe4BMKbJYbAwryDHtZTE6gIYsy2tkuZflbbA3rcgM70NonZSRijXjq110p5MOA8M7UwOnK+SbA8hjHzyI0Z06skZoDTNWaS12UXE8Ap0zOzNJYJGVUzomaZtSPRyVQFPsr0VylsgXZippclL7IbHBi15/aTdADD3JjlUu4wOsEqo4yM/qu44R9cN00XE9Byu6I4bnJIW5krMfu5S+pIzPSqmDXJt/Rt2r7K6/PjnXUAg1t6Oc3guXuUNysXwZ1l2d0kWO6f3Zf37XCJwGszgSWSQBk4hgWBpUaC2j4S3x8YpV/UI/Nn6RyBoTQC3jLS0yW+eYTdXzrqmDywcpmIWQydAB35H5JP0w3LcLmxnIexLIpx7/kSQeXVUpSVZyfwlVaVX+RV+sZxPF/57DEoiPPhX/r1y3cHOfAdLjfKGbPq56YTZb5VM6Zu9yrTj1fCWhL35bsidqS0Sdof1qZp++p1X4IJS3+lMYutGkQxw2Jmlg/eymsHPeabKAOw4MZM7o3SuoNm7OtNoM0EZirAPSQoh0iMKOnEdu8Dic4hX54Md9JYlisDQlV2sUy2gU4S0GbTmOUwA+MHF3kgHmYZ4vlKTnEc55veM677li7cq8fFzBww7sd3sjCW7EpjAMDP03NbvjiGF9wmpQhuhcvQDofRvijM6yQC1qkVJbtGaVtWpD9faXyz5Z0YhjHY+5P0SJEZzGOQRHBjYMf30rDgf5YSeKc+I30nO+9dExg7AjOxRBmQDtMOgYmR6w/6kDtH51mWypf86CD5zsCPU/LlvG5ZxfcPAlxuLL8xo+xlvPBYdMp8z3p2rwuKc8wyS6Oz6bfsWF7T6zg4xI9uwjeOYTgd4zsNo/+SG3lNSnSWWCxNxlJlSp76hV5p/GCI2cyy2YnyRxBVzHCPb0ZlnnWOqceoQ9r2NhL1MIz2xf0ZqDHDrGqPJymd78EvxTEZzw+vE7O0QXe/rAzK76ncZz3pypT5wdrSficy7Z3OvSmlObglIN4s2QTqfPiGEC/+9gWqdXS8epHGy0eejDDDVtMOneIRUgRdZhN8Q8o7dK7hWpaJSqMjmy9dKK2UTjK7OFfat3QujvkBAPm+VWJJkdlKdFTztE8QyI3nxJ9lT4zyPyidIbEcSyc7KeFDoM/tUh0cV6QdruMbi7SqwwOVyICBJSiMZUOWdssOtOoe6ZLKDTMPgsN7srPv1P4CKZY+qRdmKddLDEYIUNTDnVLMArU7ZQQzvqHumo5pB1dI8JhIaWyukjrSmimNYErwIODmdqwOLi/Sqg53VCIzGWY5BGzaFFa3fSX3yg11zcypbM/hTJ1fINEGYln6IO3/QiLw1bE679pRyuhmKZjR7gl61N/mPW7yIZ0jfwKhzQSWBAJ13qepl6KX8fJ2JL5v8YMPlkCqjFFmR2JWR550jCyThK2tnZOlu6Q7pPOkfLbAdxqu4VqWATtSBDLtThnLMCyNdiQ6Y0a0BMoY1Wu3qx2gM+RPB04gwXgWykun2ZFeKOHHc1KOu6XtJOwNEp04AYgfgsyVeI4HpPkSZe1ID0sPSfFjEQIw7OigON+tA9WpKdtTIhgS2Fj6OkiKDrW8R0fn4FbHKP/FEmWG2ynSi4sLKRvLc3zz4dn3k+BRBjgu+5gET3SMRPCBGUFzDwkjUBIQ+K53tYQf92X5rSMRmNgyeIAb+9RBN1tOJ06XbpUIklE3+PdrX93yjPTPaYey9TIGVEdKBCCWXc+UXtTrguIcfPrZ+nJg0MQvKWnj1APtdLMuF75G6R2JOiL/n6djBmI2ExhnAnXep74BbpwB+dn6E+A7a1WA63+lPUoCtV7I8iIfm4AJVBKYkT8TqLyTE03ABEzABExgNgnE967ZvKfvZQImYAImYAIjQcDLJiNRDSNZiEtUKr4x8o2Sb2t8x7NNn4Dftemz85UmUBJYWOfHF37pSmw+NgETMAETGAsCDnBjUY1+iBYQ8LvWgkpyEVtDwD8yaU1VuaAmYAImYAKNCPhHJo1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4NpSUy6nCZiACZhAIwIOcI1w2dkETMAETKAtBBzg2lJTLqcJmIAJmEAjAg5wjXDZ2QRMwARMoC0EHODaUlMupwmYgAmYQCMCDnCNcNnZBEzABEygLQQc4HrX1GU6/Xvp3t5uPjtDBJ6ofDvSg9LlM3SPtma7pgp+obSgrQ/gcpvATBMYRoB7SXrJHtJ2ofSpHoVeSueuTX68mAf18J3NUxO62aS0SnHTjXX8tdksiO+1CIG/6WhCOqUmlzny27umb123Y+VIu+6mp6SMVu/hs2Ldm9X0215+50ur1vDfQT4XSVdIt0s/lt5d4zq7mEDrCSw9hCf4mfLg5T5S2lXaS/qK9OeKvN+utPVS+lpdfCoum/GkCd1hP4mO1LO1Gcc9YzeYo5w/Ic0b8h2+qPyuKfJ8i46ZRf0xS8cH39IY/A3LllVGu0mbS/8hbdIj43107l0S793PpSdJ35ZeKx3f4zqfMoGxIDCMAJeDOFMHb5Y+KH21ghAv3PekrSvOOckERpHA3SrU6dKPisIRSA8t0u7RMTO+mbRHlPnrpb/3ucmLdH6uxCoEwQ3jWsr9zHTsjQmMNYFhLFHmgBgd3iF9WiqD55ZKWyAx46syZnQnSXdKLKX8UMpHp4xaY5lod+3z8t6X0k7QFnuaRGDtSDdLV0pv40QPY0k1RrNnaZ8y8u2ttA2VwHcgvgfx7WPtwuEDOr4g+Vyt7TnSKzOfdbUf5T9O+ywzdaT7JTrF5TPfXrsf18kbpJuk26QDJUbmWHkPlqJukVjq+3Xy6bZh0MFz49+RjpBWKpzX0PFpErMWOvMvSV+QyB9ub5DOkB6QfieFTWqH+/P8E/9IfsJrtH+ydFUS92dJbTpG22H1gDZAWVAegPq1r273ZFBWBjeCxvOl73a7aAbTYdgvuHH7nSVWI2iLuRGwy7TCxYcmsOQQ4IWqYyxR0ml/WOKaXYqL+GbwCungdP7J2fnVtE+w+oYUQfeT2meZk84EW0FaRyJvAtd+0voSnRgBjh8k0BHx8kbHzPIMne9WUi+bo5Pku1GF0zyl/VaiM9tUYmmIAHxu4Uvwe0eWxrIQwes5KW0ZbSckOnO+Q35d4n7vkx6W9pX6GcGMsmyQHPkGQyA/MR2X9yCQEmR3kn6VfKo2LLfBiZk3BuuLJQJ51AdbluAYoBDcqb89JX6EUwbPSaXlAU6HT9hWKgMcbYEgGfcgCP1SKuuLAQB8+9mkHMr7ck2d9tUv7/z8N3VA2XNjmZ56ZZBHoGYAcozEN+q6Vvddi/xo9wTyKjtPiej9Eu/FjdJF0nQHEFX3cJoJjDKBWu9TLSc9ZQS4ZbXPkggvVHRcm2mfpUmsKsAdpnQ6+WckHzZc25HOztLoVCkPS0ZhK2uHDpHZCufyIIMPL/Wl4dxlOydd2y3Ake962bXMUP8ixfNx6gXZ+dhltLxHkU5Z7pWWztJhw4y1lz1XJ7nnFwsnghLlYzYUxj0IaPAKY4bZza7XiZ8WJ7fQMflGsAm+BO7cLtHBdAPcKro2fqQReRIU6LhzGzTA1W1fxW0rD1dUKrP4cgZP/RDgGMRhzCSPlvDdMKX129R91yKfXgHu1nTvC7R9tkRbZTDF7O+j/Qri8yYwBgQW5h30sJ6HQEUQY7a1Xcr0s9oe0OMGdKa3ScxOwngRL5deK+XBgPOMSMPoyL8vsTyGMfPIjRnTqyRmJdM1ZpLXZRcTwClT/i0jPuAzcmeZtSPRgVcFPsr0VylsgXZippclL7IbHJgd5PaTdADD3JjlUu4wOtsqo4zMMqq44R9cN00XE9By49d50zXaylyJmeFdUkdipldur3EvAAAFTUlEQVTFbLr34Lqm7avXvXbWSRjcUjjdo2NWFIIHy7S7STzj/oXvbBwyuHmqxLItqyO8T/8lMZj6vMSKh80ExprATAQ4gLHUyKh+H+nlEqP0i3qQfJbOsZxXGgGPZbenFyeqfMkD42fQnUzMPOhs6MinayzD5cZyHhadBPeeL1HOV0trShMSgS6+j2n3MavKr1+HE89XPnsMCuJ83KT0y++f78d1Oyixk4mOmnLGrJoZClbmW7UkmFz7bo6XB4Og90rPkyak70hVzPpm1sOhafvqkdVU0PpaL4fsHN8qr5M2qek/TLc/KDNmhAwecmNwxcCMb4g2ExhrAuXMaFgP+5AyOkRi5Eonxo9CehnBMF+eDF/SWJYrA0JVXrFMxvcpAtpsGrMcZmD84OI3M3TjeL6SUxzH+aa3j+u+pQv36nExMxSM+/GdLIwlu9IYACxVJC5fHMMLbpPSDWUGQz4eRvuiSK+TWHo8taJ8DG7+JD1SnINFv8FLRXYDJ92oHNaVynqIwdlMDW4HLrgzMIFhEZjJRn6YCklgYobxgz4F5heHLEvlS368mHzPOF/Kl/O6ZRXf6ghwubH8xoyylxFEsegM+J7Fd4u6xiyzNDq1fsuO5TW9joND/OgmfOMYhtMxvgcyyyi5kdek9MaUaSxNxlJl3OtlsZNtWRJjSXjZLK38sUUVM9xXrcivbhL1GHVI295Goh6G0b4oAwM1vjVXtccvK738zsnzryexXDzbdlq6IcumuVEe3kk+CdhMYIknUPfDNy/+9gWtdXS8epF2sI7JM/8BxGo6plM8Qoqgy2yCb0h5h841XMsyUWl0ZPOlC6WV0klmF+dK+5bOxfEaOibft0osjzFbeWnymactQSA3nhP/WPak/A9KZ0gsx9LJTiYfAn1ul+rguCLtcB0z4u5nB8qBzmnD5Miy4U3SicWFVffolfeWOklweE/m9E7tL5BiCZN6uUbiBykMRghQ1MOdUjl7JJjxzWdXCaMdsOQJs4lHk6b+ZbmsI7GkixFMCR4E3NyO1cHlRVrV4Y5KZIbCbIqATZvC6rav5F65oa6ZoZXtOZyP0s7NUjwL7ZGgB9fNw6nPtu67FtmcoB3qqMqon6ulsyXaJMaMmfL4RyYJiDdjTaDW+9TPaWUh6kis+fODj7O6IGM0ix+zOvKkY/xM5ru29k+W7pLukM6T8tnC1ukarmUZsCNFINPulC0vsTTakeiMGTkTKGNUr92udoDOUCY6cAIJxrNQXjrNjvRCCT+ek3LcLW0nYXQedOIEIH4IMlfiOR6Q5kuUtSM9LLGEiw9GAIYdHU9H6taBTjnL9pQIhgS226WDpPhmVd6jo3Nwq2OU/2KJMsPtFOnFxYWUjeU5vi3x7PtJ8CgDHJd9TIInOkYi+MCMDnkPCSNQMijgux6dMX7cl2W+jkRgYsvgAW7sUwfdbDmdOF26VSJIRt3g3699dcsz0j+nHcrWzZgpMZi5VqLtwYf2s1m3CyrS4VPHvimnjkQ7+mvar5ol8m4eJfFO0V4YUFAPNhNYEgjUep9qOS0JtPyMlQT4zloV4CqdndiTgN+1nnh80gQaEZiRPxNoVAI7m4AJmIAJmMBMEIjvXTORt/M0ARMwARMwgZEm4GWTka6exVq4S3R3vjHyjZJva3zHs02fgN+16bPzlSZQElhY58cXfulKbD42ARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwARMwgQEI/D8cX0AX2En4XQAAAABJRU5ErkJggg==)
Now,
Taking lower limit on x-axis,
Cumulative Frequencies on y- axis,
Its ogive can be drawn as:
![](data:image/png;base64,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)
The following distribution gives the daily income of 50 workers of a factory
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive
Answer:
The less than type cumulative frequency distribution of given data can be found as follows, Here previous cumulative frequencies are added to current frequency to find the cumulative frequency of any class.
Now,
Taking upper class interval on x-axis and their respective frequencies on y-axis, ogive will be:
Question 2.
During the medical check-up of 35 students of a class, their weights were recorded as follows:
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula
Answer:
The frequency distribution table of less than type graph is as follows:
Now,
Taking upper class interval on x-axis and their respective frequencies on y-axis, ogive will be:
Here, N = 35
Mark the point A whose ordinate is 17.5 and is x-ordinate is 46.5.
Hence,
Median of the data is 46.5
Now,
It can be observed that the difference between two consecutive upper class limits is 2
The class marks with respective frequencies are obtained below:
We can see that the cumulative frequency is greater than n/2 and is 28 which belongs to the interval 46-48
Hence,
Median class = 46-48
Lower limit, l = 46
cf = 14
f = 14
h = 2
Now,
Median can be calculated as:
= 46.5
Question 3.
The following table gives production yield per hectare of wheat of 100 farms of a village
Change the distribution to a more than type distribution, and draw its ogive
Answer:
The frequency distribution table of more than type graph is as follows:
Now,
Taking lower limit on x-axis,
Cumulative Frequencies on y- axis,
Its ogive can be drawn as: