Physics-
General
Easy
Question
Two balls each of mass
are placed on the vertices
and
of an equilateral triangle
of side 1m. A ball of mass 2
is placed at vertex
. The centre of mass of this system from vertex
(located at origin) is
![](data:image/png;base64,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)
The correct answer is: ![open parentheses fraction numerator 1 over denominator 2 end fraction m comma fraction numerator square root of 3 over denominator 4 end fraction m close parentheses](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAArCAYAAABl25buAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAdoyL+RwAAA/RJREFUeNrtXE1oE0EUHkIpJeSgqJRQpVKKiEjxoKjUIl4klB6KVFREpChFxIMHQYuKSg96UlEpiEoRqYXi36GoF5EiIhHBEqRIRTwVCQGVIhpEje+Rl5Csk2Rmd3Z2ZtkPPiqz03Fmvvl58+ZNGePjMPAai6ADV6i/hdADnAE2Rf2mBdjPGeDWRhnjwE/AdSHujASw4IF+YC31e6JephHgaMhH6m7gc0OXt5FaH5cBvwHbQi7OE+BBA+uVBC6QDv/hJPBOyIVZCvxKP03ELeBp3odZMgZEsYoKmrFInEPAh5z0bcDHwB/APHAOeBm4RHP9uoHveR2dkywIZ9mQj5ukH8C9ZqBG+g5gc0UaGkVPA6hjFri6MmEQOO6yMFvEWUkDsEXidxYCqOc46VHGbZryYRbnBPCGRP4O3hKjAQdIjzKmgL0hF+ctMCWQr5VG7pyHPvGCFO1/ZeRqmXAWipOoccj73MDr4TxsHg2w/lX7P1opMcvF6QSOUX22OL6dB14SLGcxsB+YFnGp+IAY6aGkg00R5xSJg+eY145v6BpZ72IEpwNqy6+wiVMCenj/0t6B2AT8wNw5cvMBtaEQVnFKy/Rd+vdV4FkXZXSRURCJoxg3gT9ptuSchzoOpoE7KX+MPAa4FO63VRxd7nQ3WAT8A7wPfCWQv4eOE3kiegz6Aqx/wfTR7xUvAjaJI3HqYAO1a3kkjhjOAI+TJYWXS1k6HPZWnDEuAr+wol9r2OP/N6CxQ1W2LRBxJqkRb4B7aANup803SRvzLkpfQet/qyWjXWXbAhEHTdNnNIoqMc+KTkleetIScVS2TUocFcEQJbdEXDKd+VQ3r/SzbdpnzkbGD6yQTTcRqtumXRxch8cUpJsI1W3TLg5aMEMK0k2E6rZpF+cB419eiaZPUD37DRTHa9sCFwft+xYP6SaL47VtdcX5LVERDN+5RwcpvHfA0Ki9mjphgqm9Ou4z1DtSdZ8jcxM6TRta6Tp4DfAlpfkJDFV6x9QF2GP9Zw0Up8lpZs9zDkkywJNwxudKtyn2FlxnxUgX08TBQMaqGAJ0l6c8Fppn9qCbTvPMQHFw2a6KvkGbe9BDgZtpabMBzTTL2w0VZ8h5BtrH3Aexo9WRptFoAy4Aj2i2VGWNnqqJgrHSWRcF4T71CLjdEmG6ODPcNHG41+oZWp5E0UHCdFq016Q59TVJHIxd4IYAH2PF9yEiQGXRDR5ndiGIJ4UywK1luJYJJ/KyDc3ZSRaeB72mzBy8gPvO6rwJwpu8Rk/cp1jjUKNIHHngSnSuXgZcpj7SxulmaYjEce/9aPiaunRAi/4Ogf5zl/CTTzwIjUb9pgW4jXAfrv0D8cBWfB3PhQoAAADhdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1mcmFjPjxtbj4xPC9tbj48bW4+MjwvbW4+PC9tZnJhYz48bWk+bTwvbWk+PG1vPiw8L21vPjxtZnJhYz48bXNxcnQ+PG1uPjM8L21uPjwvbXNxcnQ+PG1uPjQ8L21uPjwvbWZyYWM+PG1pPm08L21pPjwvbXJvdz48L21mZW5jZWQ+PC9tYXRoPuDsnncAAAAASUVORK5CYII=)
The centre of mass is given by
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/905208/1/914055/Picture4.png)
![stack x with minus on top equals fraction numerator m subscript 1 end subscript x subscript 1 end subscript plus m subscript 2 end subscript x subscript 2 end subscript plus m subscript 3 end subscript x subscript 3 end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript plus m subscript 3 end subscript end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMcAAAAqCAYAAAAH30+aAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAZpE86XgAAAw9JREFUeNrtnDGIFDEUhgcRERFBRGQREY5DrGwtRGxEROzlCotDsLjqOrEQCxGsLMTOwsJCELEQWQQRucJOxNpGLERsrrA4Dpv1D/cOZZnZnWxekpfJ/8HfZPfevn8myUxy4TUN0WRCvyQGd6Fb0DHoEfQL+gldkc8PQw+hTeg3dNsz/g3oQUv7PfksdWeh3/L8ZuOFXMBP0Aq0FzoJfYNG0AZ0TdpPQNtyoX34PPU3q9DjTDMp/ZbnNxtfofcyg/zPD+hJR/vI8zcuy+zkuCi/l+s1g37L85uFPdAWdMCzfRHeQRegL9ARhc4xT/Rbrl8TnIU+KLT3YR36A53JuECl3zL9ZsG9gz4NbD8F3ZEZo4tz0Et59K7M+F6fWCGdJdTv7iztOsFHaDnAb99YVvy6e3JJye+sWGZwuxc3A9ufSVvXDVuCXssj/KAsDLseu/NihXYWDb+7rx9rshAN8TsvlhW/jtPQdwW/s2KZ4lXzb0svpL3rhh2FxlMX66oMAq0Fp8/3Nf02srOj4bctljW/bhBvKvlti+W92IqNS3C/QnvbDdsnF/t4y3efyw6H1uDI4dctPjeU/E7HsubXdX63Nbuq4Lct1uCZGI0Vg5GsE5aMxYp1X52uG4vFwWEQt2nwpvH/X0DsWDE5BN2fsR7JFYuDw9gTYyw32FKsVGwbjcXBYYCx7LRYi5WC883OTpS1WOYHhdZGQo5NCXqdn6Ob5d82O2eyLMQihAz6yC8hofge+V30IBohxTHII7+EaJHqyO+EooyqE58jv3ytItXQ90g3IVWxyJFfQgZPyBFnQgZLyBFnQgghhBBCMjJhjsQ6sUtUanQ85kiykKJEZWjHY44kCylKVIZ2POZIkpOyRGUJZTRLyJEkImWJykVnZeZIspCqBGlIx0tVNtRKjkWU56yBFCVIQzteirKhVnJ0FFGeswZilyDV6Hixy4Zay7F3eU4Sl5glSC3mWGKpTzIAaiobGuv6VVmek4MjLzWW+iQcHL2eGDWX+iQcHJ3UXOqTGHlXrqFsaOwczZXn/AtlJJr8sZqM1wAAAfR0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW92ZXIgYWNjZW50PSJ0cnVlIj48bWk+eDwvbWk+PG1vPi08L21vPjwvbW92ZXI+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bXN1Yj48bWk+bTwvbWk+PG1uPjE8L21uPjwvbXN1Yj48bXN1Yj48bWk+eDwvbWk+PG1uPjE8L21uPjwvbXN1Yj48bW8+KzwvbW8+PG1zdWI+PG1pPm08L21pPjxtbj4yPC9tbj48L21zdWI+PG1zdWI+PG1pPng8L21pPjxtbj4yPC9tbj48L21zdWI+PG1vPis8L21vPjxtc3ViPjxtaT5tPC9taT48bW4+MzwvbW4+PC9tc3ViPjxtc3ViPjxtaT54PC9taT48bW4+MzwvbW4+PC9tc3ViPjwvbXJvdz48bXJvdz48bXN1Yj48bWk+bTwvbWk+PG1uPjE8L21uPjwvbXN1Yj48bW8+KzwvbW8+PG1zdWI+PG1pPm08L21pPjxtbj4yPC9tbj48L21zdWI+PG1vPis8L21vPjxtc3ViPjxtaT5tPC9taT48bW4+MzwvbW4+PC9tc3ViPjwvbXJvdz48L21mcmFjPjwvbWF0aD4+oTIbAAAAAElFTkSuQmCC)
![stack x with minus on top equals fraction numerator m cross times 0 plus m cross times 1 plus 2 m cross times open parentheses fraction numerator 1 over denominator 2 end fraction close parentheses over denominator m plus m plus 2 m end fraction](data:image/png;base64,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)
![stack x with minus on top equals fraction numerator 2 m over denominator 4 m end fraction equals fraction numerator 1 over denominator 2 end fraction m](data:image/png;base64,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)
![stack y with minus on top equals fraction numerator m subscript 1 end subscript y subscript 1 end subscript plus m subscript 2 end subscript y subscript 2 end subscript plus m subscript 3 end subscript y subscript 3 end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript plus m subscript 3 end subscript end fraction](data:image/png;base64,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)
![stack y with minus on top equals fraction numerator m cross times 0 plus m cross times 0 plus 2 m cross times square root of 3 divided by 2 over denominator m plus m plus 2 m end fraction](data:image/png;base64,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)
m
Centre of mass is
.
Related Questions to study
physics-
Three identical spheres, each of mass 1 kg are kept as shown in figure below, touching each other, with their centers on a straight line. If their centres are marked
,
,
respectively, the distance of centre of mass of the system from
is
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)
Three identical spheres, each of mass 1 kg are kept as shown in figure below, touching each other, with their centers on a straight line. If their centres are marked
,
,
respectively, the distance of centre of mass of the system from
is
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)
physics-General
chemistry-
WhatweightofHNO3isneededtoconvert 62gmofP4 inH3PO4 in the reaction? P4 +HNO3 →H3PO4 +NO2 +H2O
WhatweightofHNO3isneededtoconvert 62gmofP4 inH3PO4 in the reaction? P4 +HNO3 →H3PO4 +NO2 +H2O
chemistry-General
physics-
The distance of the centre of mass of the
-shaped plate from
is
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)
The distance of the centre of mass of the
-shaped plate from
is
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)
physics-General
physics-
Look at the drawing given in the figure, which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is
. The mass of ink used to draw the outer circle is 6
. The coordinates of the centres of the different parts are : outer circle (0, 0) left inner circle (-
), right inner circle (
) vertical line (0, 0) and horizontal line (0, -
). The
- coordinate of the centre of mass of the ink in the drawing is
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)
Look at the drawing given in the figure, which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is
. The mass of ink used to draw the outer circle is 6
. The coordinates of the centres of the different parts are : outer circle (0, 0) left inner circle (-
), right inner circle (
) vertical line (0, 0) and horizontal line (0, -
). The
- coordinate of the centre of mass of the ink in the drawing is
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)
physics-General
chemistry-
The enthalpy and entropy change for reaction Br2(l)+Cl2(g)→2BrCl(g)are30KJmol–1and 105JK–1mol–1respectively.Thetemperature at which the reaction will be in equilibrium is-
The enthalpy and entropy change for reaction Br2(l)+Cl2(g)→2BrCl(g)are30KJmol–1and 105JK–1mol–1respectively.Thetemperature at which the reaction will be in equilibrium is-
chemistry-General
chemistry-
Assume each reaction is carried out in an open container. For which reaction will DH=DE?
Assume each reaction is carried out in an open container. For which reaction will DH=DE?
chemistry-General
Maths-
Marks scored by 100 students in a 25 marks unit test of Mathematics is given below Their median is
![](data:image/png;base64,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)
Marks scored by 100 students in a 25 marks unit test of Mathematics is given below Their median is
![](data:image/png;base64,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)
Maths-General
Maths-
The mode for the following frequency distribution
![](data:image/png;base64,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)
The mode for the following frequency distribution
![](data:image/png;base64,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)
Maths-General
Maths-
The median of the following data is
![](data:image/png;base64,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)
The median of the following data is
![](data:image/png;base64,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)
Maths-General
Maths-
The median of the following data is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/432147/1/913874/Picture8.png)
The median of the following data is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/432147/1/913874/Picture8.png)
Maths-General
Maths-
The median from the following data is
![](data:image/png;base64,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)
The median from the following data is
![](data:image/png;base64,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)
Maths-General
Maths-
The median of the following frequency distribution
![](data:image/png;base64,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)
The median of the following frequency distribution
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcIAAAB+CAYAAAC3ZxH/AAAgAElEQVR4nOydd5iV1bW436+dXqcPMwwz9KH3JkVQBBVFJRo1lsQajcaYeO9Nvyb3mhslplpjiY0oKooNCygoHYbeBwaYwvSZ0/tXfn+cGZqYCIzBXzjv8/CIc4b51uxv7bXW3nvttQTDMAwyZMiQIUOGsxTxTAuQIUOGDBkynEkyjjBDhgwZMpzVZBxhhgwZMmQ4q8k4wgwZMmTIcFaTcYQZMmTIkOGsJuMIM2TIkCHDWU3GEWbIkCFDhrOajCPMkCFDhgxnNRlHmCFDhgwZzmoyjjBDhgwZMpzVZBxhhgwZMmQ4q5FP9MW6ujqqqqqIxWL/ann+rUgkEkSjUTweD4IgnGlxvjZomkY4HMZsNmM2mzNjQ3pMQqEQFosFi8VypsX5WpBIJIjFYjgcDmT5hKYqA2AYBolEAk3TsNlsZ/18EkURq9XK6NGjv/RcOqF2rV27lrlz5xIMBpEk6awf2FPBMAzC4TCBQICCgoLMRD6KWCxGNBpFlmUcDgeSJJ1pkc4ohmGgqiptbW3YbDZcLteZFulrQSgUIhaL4Xa7MZlMGTv0BWiaRiwWIx6P4/F4zmpbYxgGhmGQn5/P/PnzT88RRiIRUqkUF198MeXl5ZjN5i4V9mxA0zSWL1/OK6+8wl133YXb7T7TIn1t2L9/P/Pnz2fw4MFMnToVu91+pkU6o2iaRmtrK3PnzuWcc87hoosuOtMifS1YsmQJy5Yt45prrqG0tBRFUc60SF9LIpEIq1evpqqqimuuueasDqTi8TgrVqxg3bp1aJr2pf/dCR2hrusoisKYMWOYPHkyVqu1ywQ9W1BVlWAwyPz585k5cyY5OTlnWqSvDZs3b+a9996jvLycCy+88KwPElRVpbq6mj/96U+Ul5dzySWXnGmRvhY0Njaydu1aJkyYwPDhwzMB+RcQDAYJBoMkEglmzpxJdnb2mRbpjBGJRGhtbWX16tWcTIfBL1xDS5KE1WrF4XCc9RH7qZBKpbBYLIiiiN1uP6ujtOOxWq2YTCbMZjMOh+OsH5tUKnV4i9hisZz149GJxWJBlmXsdjsOhyMTkH8Buq5jtVpRFOWstzWiKJ5SwJTJGs2QIUOGDGc1GUeYIUOGDBnOar50epGuaySiYZIpDVU/svcqm8zIsoKgxkmqGtpRnyFIyIoJp8OKYGgkEwki0TgGoJgtmM1WzErGF2NoJONx/H4fiZSOZLbhcLpwWBRE8dhMOTUZJxYJ4Q9FkUw2bA4HHkfXbRkZukosGiEYCJJQdUxWBw6nE4fVxLGSGMSjYSLhEKFoCpvTg8Nuw2bp+oQGXVNJRIMEQ1ESqoGkWPBmebCYFI4eHl1LkYpHafcH0ZAxW+1keZyIosBXkW+opeIkYlF8UQO3y47DdiRDTVeTxGMRfP4QhmTCanfgdTsQ4CuR5Qg6/tYWVEPC6s7GqggdY2SAoRPy+whH46QMEZcnC7vFhCJ3zRw0DB0tlSAWT5BMHZ2oICDJCnaHA0kUEAUDXVMJ+X1EYkl0UcHl8WIzy8hSF9sDQyMRjxONxTEM6LROgiBgstgwmzp/f4NYOEgkEiEcV7G7PDhsNqzmry4DMxWPEo1GiSZSmGwu7DYzFkUGDKIhP+FwlLhqYHN6cdrNmJV/VTaoQSIaIRqNEUumx8JqMWOSBTAMQgEfkUiMpC7g8mZhs5gxdYUO6RqqmiQUiaHrnz/fE0UJxWLDYpKRJQFD1wj629M6JMi4PF40TT+lR395R6ilOLBhCat2NRCKJNABUTbhKejNxCljie9eRkVlI6FonJRmgCBitjnJ6jGcyy4YjtVQaa5cw+LVe4io4Ok+gEvOn4BJNnF2Z0UbJGMRGivX8PSTf2P9fh85fUZzxbeu5/yhpdgsClKHtdfUJP7G/Xz85t95b9UepLz+zJhzDbPG9cFqkg9/36nKYegasbCfHSve5aX577DzUJiiQZO4+qbvcG55ASZZRBQEDENHTcao3bGCV19+nU01EXqMmM7VV81iSI8cTLLUZe9UU1PEIwG2fbqAeQuWUNkYJbfPWG6563ZGlWbh6HC8hq4SC7Wza+W7vPDGxzSnnAyePJsbv3EueQ4zJrmrr2gYxMOtVLz+BI9WiNx77/cY3z/tCA1NJeJvZOOSN5j33mpCcj7nzJzDVRePxWs1oXS1se+USNfQU0E+ffbXfNiYyy0//AmDC02IkoCupUhGWlj11jwWfrIRv5TD1MuuZ9bkgeS57cinpTtpdDVF28EtLP50A03B+JEPBAW7q4iLrp5NN7uMkUoSCxxi8cvP8f6aPSQd3bnomzcyfVRvvA7LaerxsRhqjKoty/l41U6SR8fogkhB/3O55NxByCKoyQgHNi1h/mvvsqMxSZ+xF3HNnBn0L/aiyFLXBS+GjqaqxBNxfLXbWfbJcjZWNtJjzCV845IJFEqgJiLsWfkmryxcxoGAxNBpl/PNWZMoyXV3jcP5QtG09HyLRzm0az2ffLaGXXVhhl/0bS6f3BdZgGSklbXvvswbi9fTjofJs6/n0nOHUOA5fR3S1Tj+vWt4Zck2EurnMz4Vk4WeI6czaUQZDkMnHmxg6SvP8e6q3cSt3Zhx1Q2cM6DbsYuxL8mXdoSSKFHSrzcvPfU4L31YQVAV8fQYw88eepge2S6MUZPYt+F+nnjyLXY3hRHMOXzznl/yqxsGYxFFBEzkdO9L3/Uf8V8LG7jlR5OwWZSz3gmiR6lY9Az33/8waw760AwQVq9l6eKl/PB3j/GtKf3Id5nBMAjUbuKp3/+elzeb+P1jD3DojYd49BffZ88dv+buS4aT5Tz1laGhpUgFqnn5kT8w7/0KAqE29te2sGZ9BSuWr+WBJ59k5sA83FYZNZlg99IX+e0jC/D1vIJHHhzBw9+/l19u2cL3f/ZjpvbPx2LqGsfTVruDRc/9kReXVdHUUENjczvxNatYvXEPv3nol3xjYj8kIBFs4LPXnuLnf1jE5f/7GLOF9Tzy8C9Zv/MmfnPvVfTvntO15wB6gn0Vi3nw8VfYax+DP9xh+A2DeKCWN558mD/O38rtf3yM0prX+POjv2B95R383/dmUZjl/EpWhal4mOpVr/CHF98nWjSJq+I6mgEKOsHWOl793Y94bp3AlXfdyWR5Hbf/9HtU3f5T7rrhYrp7Tj8jMxGLsOatJ5j7+IccbIse/rpky6HnpFuZfZ2BiE5z9Taef+hnvFldyF333kH3+re5885bqf3V77j+wjEUukynLUsag1j7Id597o/89uU1HDGtIpLi5OqHJjHdEDDFQmxe9DgPPPkRrvE38Ns7evCrW+/hV7v38MP/+j5jy7K6bKWqJSMcqtzAc4/9mY92RBk8+WJuvPM/GNIjB7NJJhpoZvX8udz/fAUTrr6bX50j8l+3/4TKqjv44V3XMbTY0yVynIhU1EfVlhU88edH2ex3M37G5dx+3wx65XswyQJhXz0Lfn8fz65Mcsl3v8dtjs3c9uO72fft/+QHN8+mu9dyWnodD7VS8fbT/OaPS4jEk8d9KuDyFnDr76YxfqhBW+NuXnroJ8zf4+W7995OH9+H3PH925l1908xwqmTfvaXfruCKGHL7s0FkwbjVHSCwSBt7W3E4ilEWcJky2LczEsZ28NOKBgk6GslFImh6lLnD0AQFTwOM8XDZzKyvBilCyO//x/RVRVf9U4+XlaB1Hcyl8+eQUm2A1GN0FK3nXl/m8e+Bj+gY+hRKt54jNc/3oqp92iGlBQydEgvxLb9vPD40+zxhYl9+Wszn0NVNXZv3oBaOo2f/M//8dsHH+C6c0qwCnFaazfz/scVBOMJ0BIkg/uY9+gTbDiQYNCksXQvGcCoXjYOblzM439fQiiR4DRE6cDASIap2VdJqGwWP/3V//K7h+7nm5P6YERCNOxcxWdrthLWwMCgYftinvnbGxzQCpk8ooSe/frT15Fk+YJneKfiIP6oetoSHU17/V7emz+Piv3NROLJw1syhqFTs/515i34hFZLH8YPLqH30CEU08qi55/gg0ofwfjpj87xGFqcYHstz/31WXbWNBFLJuncJVKjfhq3vM2TL39CxD2AYYN6UjpyNAXJWt6d9yKLttVz8jH08QKoJJMB1q3eTERNZwZ3/vF4C5hw4WS8koAaaWPnijd46YONyIXD6NenlJ5jx+Py7+Clx55meWXT6cvSKZIB7Q2b2L7zEPJR8ljtThyFg7lofBFWMUnUt4fnHv8bu5skBo4dQXGPIYwuk9jx2Vs8+toaoqrGqW24HS2Mjp4MsXv1O/zqp/czb2UL066/k7tvuYqhZXlYzAqiHsdXv5kn//oKjVEP/YYOpKB0JAPzE6x55yWefX87CYPTl+V40QydZLiFdR/M46e/eICldXauvPV73H7tRfQuzMKsyOjxIK3b3+bJeYsJ2PsyYkhPSoePokht4IP5L/H2lkMndV3hRMQjzWzZeoBIPAWijNliwWq1YJYFNB0SQiFDBhciJv3sXf0mz7+zFiNvGOX9SikbMxZPcA8Lnn2OjQeaT/rZX37TWRARFTv9Jk5lYq+32dV4kHigico9+4jMHIJLkcguGsh554/lhWV7CWlR9u2ppLE9QqHNCYJAMhljz/4AUy46l25e51m+GkwrYFv9brJGzOGhe0dT4BSpePUBfjb3FbY0xNi7YyPVdS2M7+1BC+7llVdXcsinMTi/CKui4MrNxkWCmg0f8Oa6++h9oRer/dTOEQxERGcJcy4dgsdlx0hFydKq2LTnD2zxq4RCYVTNQE1Gadu6hIXrDhL2jKagyI0s2+mW70UNb2H1wjfYducljLdZsUqn94INXcVVPIjLhpXQLdsOycF4xFYWL9tKTSpONBJFNXQMLcrqRe9RcaAFvXgMBVYFp+SlIFshVL+Dd95fy6xx/cmyOU5LnrRMGnoqwu6PnmXhsh20xzRyOue/oWFoAZa8/Co7630IQ/PJt8qIrjyyXeBbU8Grb1UwuVcObovttGU5mlionT2Ln+X1T3YQiibJO8omxYKNrHxzAVvrQwyelkeO04ViLSTXpbPu4EYWvLGS684pwyqeevacrsZItG1iT7CI2ddcTJbbcXgVZc8pY/y0viiSRNhfw8oPPqKqJco52fl4HE4UuZAsm8reyhV89MlmLhnRHctpL8AMMFIcXP0pqeLR3Hp+T+wmBUkQECQz5ry+jCtyYdKjHFr/Du9tqIXu5eQWuJAVO0UFXhKB7Xz22qvsuWUaQ7JkzKehz7qm0nZwE0/95VE+qKhhxDU/44ZZkygr8NL5Y1OxILUr3+TjbfV4BnvJynGhKGYKc52EKw7w6YKF1Fw7gVKriNhl2xsGupbk0I5PeezRp1m1J8yc//w1s6eOojj7yM5FPNTEytdfZfOhAP0n5JDrdCHbC8hz66w6uIVXX1vOjRN7YpdPXYfiAT/VUQtjpl5Eed+eFHgdSAKEWw/yyeJltHSfxIgiC7r/ICsXLWJPc4TROfl4nS5MaiE5DpWdB9bSFk+Se5LPPmmrmV04mOnnDeP5lftJhprYtmUTtb5L6J9rwuTKpnT0ufTLfpktrSq1u7excl8DQ7vZkUSJkN9PRbOdGwfYcdu+HmWADIMz5pAFScFTOp6rBhSQ7bEjABMvu5VZKzawZcEWkskEqqqip+KE9mxkQ1OYiGrDbDYBAqKioIgGRqqNVUsraJ3YnVy785RkMZnNDBw1/nAZK02U8OQU4XbZMMUsjBozHKfFRCLSypY162mNpzBJCpaOZCeTyQRanHjTRlZv8zM0x4XVdjrbowKixUOf/m5ASL8jsw2bp4Asu0i7uZjy8j64RBUhcpC1W2ppDyVRTGYUBCRRxmwSAZWajWvY1jibgYWn7wj1VIxA5Sf89e1aZPuxCUSGnkIP7GZpRROBiEaOyYKCAJKCSREw9CRVq5ax/4YJ9M7tSkeoc2DjMv78913kdXdRG24/5tNA4y4+rahGM0A2m5FFCQQTJkUgFfZRu/4z9se+RT+rgOkUrVgqEqBm5aeECoYx6tyLGD9iEN1zOw1p+v0JgkB7zQYqdtSjkU6Yk0UZQTBjUiDR2MqBrRtpSM6ixHyak9LQQGvmk8/24S2bxYyLpjOwvDdui9yRPCQgiALhploqlq+jPanhlUyYlbTOmswmUKPEGtZRsTtEn1EWzNZTlckgmYyw+PnfsWjFTnAO5oabvkl+tpujfWsk0MC65RsIqOBRzCiyiICAyWTCSIXx161n24EYhX2tKKf6oj4nmoYaa+Club9h6ZZ6zH0u4eZrzyXPc+w2Z7CpkqXrDqLqR3RIEEyYTAKpsJ9Da5eyL3o9AxwS5lMSzSAaV+h16d3895UXkmU3IwkCuqZyYPVf2bVxDyXnTiRHkWiu28TarYfQAJPZgixI0KFDqWiAeHUluUUnZ3tO2hvJjhx6T5rOgOx32OlXqdqxlfVVdfTNKgVJR5AsSKIEaASaKlm0eAc3TeyJpMYI+OpQ88rJV2QkPUnQ38aaT95nx54qdu47QHV1AzmDzuf2W69l9IBSbLIAWoLG6t189PpLvLf2AJog4HS4EC0WrLKAzVvM6FlXcsnwHujRVmr2buTpZxbQ4vcjeHsz4aLLuPK8EbisJiLtDax9+2leXbaPmORi0OgJWJKNjD//SsYM7P4VZ/N9HkEQ8OSXIorpJBQAk8lBdpYLSZTIySvA63WjpVJU799PMJnCEETkjsN7QRARSK8sW3ZupSFyIeWcmiPslAcAQ0dNxahc/ymNcS8Trv8R108pw2WVifj9VO6tQ9U0zKKE3DGTBVFAEHR0LUzV7v0kJxSA7fSzWY+uLxnzNVO3fS218Wwu+sHPuGzSAERNI9FYz8H2IAldwCKlDZ0gCIfHNNK+j6rqEAw/XWk0goE25r2wiPLLriH73WrW7249/KmhpojV7KcylCJpgKSkk4aMDlkMwyDQvJNDjREoP11Z0uiaSqRxFytW76T4ijvIe+Nuth1nA0J1NVS2hQGQZbljXIT0qkJPEPPtpfpQip5lCqZTPK4ItVez6N2VVCyvY9un83B78xg88UJuuvk6hvfsRr43XZTDv6+San8UEJBlGQEBOt+VFsPXcpCmVpWigtMLlLVkjMjetSzesp89Sx5g0St/wZ3bg3Mvu47rLpvKkH6lKEAi0sLOykZ0Q0eQpI5EHaEjW1tHSwU5uLea1FAPWE/tHFVPRojVfsbzr62jKWWhePAMzunlxCIfO9axYC07KtswAFE+kvwmiAKCoZOI+qivrkfrWcopRyzHkYwGObTyTV5eXUNCcTP8givo61Y+d2wVqq9jd2sIA5Al6YgOCYAeJxHYw4G6FH16i5hNp6JDAsWDx3Fr3wQ2hwVJFBEwMHSd6pWf0CJkc924nkiiSOBAFQd8EdLZyOla2J1/0BOQbAYKT+rpJz2aoslGbtEwxg/tjlmRCNTv4Z1PdhDXNOKREO3VO8gq6YusmEiG/ez65F0q/SqhgI+mA/voXj4AWZaJ+upYPm8uP39oHraB53HD9XMoU1pZ/NqT/O7JBdS0RzAMCDTvZcHj/8dvHp1Hg2UQ1992C9N6BHnv7y/w6rtraI7p2EwipELs+OwN/ufnD7Bd780td99BH2kff7r/1yxYcxC/v536HUuY+/unaMg9n+tvuJLewl7efGcN/kiky84lTgZBSBsD8ah9DlVNEAxFkBUT/YdPokc3D5qapLmpCVXVODJJocOGYBgGUd8h2gOJ05bJUBO01u3mw9ee5k9Pf8ihYJjwod3sb/CTSmkkIxEa2nzoug6iQGc+3REfqhFuaEBLdd2ZnJZK0nJwGx+8/iyPPvs+bSkd38HtHGoNkUhpBNtaCUbjaIAoidB5SaFDpngsQGtT22nLEQu2U7t5MXvE/lwyohuu466t6KpKe1MTUVVFQ0AU0x5JOEqWWMSH3xc8bVkAMDS0VJStKz6k2d6POWNKsCoi0jFbHAbtrW2EOq4tiaLYEVx0XCkxVFLJAK2toVNOPQeV5qrdLN9ZQ8jXQkNdNZU7N/PuS3/hB3fdx4vvr6HJH0U3NJoamojE03oqSmLHuHSMj6ESDfsJ+GPop3nelIxH2b52FXXtPlpbW6g+uJ/tG1fwwh/u596fzeXtVXuIxBLEgwEO+UIYuoEgiocNYmcAZugqkeYmdPXU9TkZC7L70yVsbY2QQiHbC5sWv8Hzzz7D3xcuZmd1M0lVI97WSn2oo+NPpywCh6+/aKkE0bZW9JOoofnPiIfbWLn0M1oiMQzFSbZUy5KFf+dvz/6NBR+s5EBTgJSq4mtvJxiNg2EgHm7E0LFTY2ioySAtLcHT0KF0JSGX240spgN8dBU90cAnn1ZizS9hWPc8JBGaG5sJd+iQJEodxqfzipQGxsnbwVMIKyRc2QWcO3EUVouZaKCFincXURNX8bdWU7WnhctuvI5chw0hFSZSs5zPtrbS1FBF1b52ygf2R1YUWnYs59FnF7BldxWHknZKeg9g3MDuaNFWNi3/jJX1PgwMqj99iRcWLKG2PcGQabMZPXIE4y6ehicZQdc1ug8+lxlDitD9Vbz43Issr2xn3LQLGTBwKEOH9EGtXcO8F96mqraOquXvsnxXE82HGnEU9ePcObdx2fjuWE7zLKsrCfoPcqDGh9VZzCXfvJTiLCe6rhEKBdF1HUHghOcDyWSAWPTks6WOx1Bj7Fj2OnPnPsLagz7amqpZv+hvPPTUOzT4o6jJBMFILH0w3hmFcdTdOMNADwdA77rJqqZibFv8In967EVW7DpEKt7Khy89wtOvvE9LJEU4EiHZYahO1KFATaWIhMOnIUH6aonv4DreeG014+ZcS47b+bmgXNc1wqEQmq6nbfvhqLrDqBoGaipBPBalK9DUBJHGDcx7ay9Dx46lZ4GLz9+Y1AlHoiQ6AhNB7LzJ2Pl96Tt90XAE4xTSzjvP4mpqqmmP6TidTlxOBxaTRCoaoHLdIh79/Z9ZtKsRVdMIBENH3pUodMh7RJZUMkk8Fj/txItUIsb2HZXIZjMulwun3YZZglB7HRWL5/OzB56kpj1EPBIjEE9gkL7ydbQ+p/2PgR4OYeinbuDjkTYqKnYSS6nIip3C7rmYE7X87Xf/y3333MOP//I2reE48VCYQDI9hwWhM6A7Ck1Dj0bgNGQ5nqivlQ3bdpNMpVBsLorz8tCbtvDn3/6Se+/5Ab9/bRWhWILQ0TokHKvXYKDrKpFwJB0gdxG6miBRu4ll+zXye/SlON+JKEIoFCaVOlqHjpYlLc/Jckrra6vDw4Rp55JrtSCmwoSrP2VJRQt7Nq3ngDSUqZdfzIX93ThNBol4gJXLVrBj/SrqKGNQDysmWURVVTRNRU/4qa33k9BA6rDwqXgUfyQJhkbVjp20BCMIgojHm4VisiBZsnBaBOKBFg5WVRFIpti/YzXbKmvQJDN5uTkIkgmT2YYspKjaXUFDfRvRSARVV9mxaC7//es/sXxvkBlXXUOv4pM9Wv0qMACVvZ++zZ6AhXHX3sOc4Tm4LBIGBrqupyfr8VeyjRP+9ZQRTU7GzrmHF+Y9xw+umkyPHDvxSJgVi96hqqmNlG4cVnbhKLN7zLOPvrncBZgsDs657uc8+8wj3HPN+WSbwIi3UbFqJdtqWlFV7YjhPOGBr5GW6RQxdA01WMOSxesJD7uKWUNzsZ/gorUBHe+pQ5ROB3j8S+qisfE31vDmM/Mpnn0zowZ254viuSO6c7QRO1aIU3c8Aghmzr3mP1m8bivrVn/GG/Oe5L5b5jCwmwuTZNCwr4InnnwPv6qR0vTDzzqx9hhpWU9zjOxZRVz/qxdYtXYdq5Z9wAuP/R83zz6HkhwnqWiQmhWv8dyKenzhVPrydsfUOiyRcfRbOz15kuEQtY0t6JqG1VXE2PMnMeGiG/nuxeWYY/WsnPcwTy09SFsoceQiuSAc2WU5/OzT0+PPYxCNhKlvakXTdJyFZZw/cQzTr72NWUOKSDTtZv4fH+SjqgCh+JE5JgidA3XcuHSpbJCMR9i9fj1tZi89+5eTbU5Pb13X/qk+nyyntBEvmazkDJrMub2cHGr3k4g0sWzRAgJCLdmTb6CbtwcXzxzB4spWqoNRNq1YSGGNmbLZM8kxp5f8eYOm8bNfRBm9I8zoQTYqV33ABxurSaY0ZF1DVXVAwONxYzIpGEkDTVPTkZmhoukgmkxYbXYkXaP5wHZa/TESepDFrz5Bw0oLkaYDFPUfRjInG6fLi2PocEqcizkUC7Du/RdoO3SQ2+/7T64oVv7l54PHoyVjxBo3Me+dHTj6T+aH37mQXLsFWRQQBRGrzYYodMQtncLqRyarrDiwWI59nYmIj8r1S1m+rZZo4shq0eYtYcx55zOqNOvzgogSZquT7uVjufW+XxAM/Zhn3t1IuL6WmnCUPh4Fm+XzzXSPGBMB0eaALrw0LogSZquL7gMn8p3vyfgb6nh+2W7CzY3sD0QZbDajHN/T0NAPr3AkWcFqOzY5RUvFCdRs552l62nxRw5/XbK46T50CnMm9j1siNRUkj1r3mF5VYIJUzX2bNmAGmykrsmHoaskQy0camyiIT99bUA63hkbOoaenrSSomDqgsa7RjJI1ealvLtX4JoJYfZt34IabqMxkCChaoT87VTv3c3A/H5ISuf4dK7SDUAnPTzpLVzr5xq6Guxd+yHL1u0gkDhiZMxWB8OmfYORvbLSRxIAiFhsDixWO96cPIpKejJw6CgmjhnM//zqD2xtinJo3afsC92MyWI97l2lZTE6ZJEVU5c0a5ZkBavTi8XhxpudT4/e5YwcM57hf3+Euc+8y97GZtZ/tonLLpawm5XPBVDprdn0rodotSMctw0T9dewbvESNtb6DjsvQZRwFZYzbdo59Mo/clavpZKE4+nKNpLJjM1qwWLLYsiYIeS8tobG9gbWLF3LiPFgN3XOYePwfw4HKaKEYLWB0HVzS1VTxIFrLBkAACAASURBVOLpFbhiMmO12rF58hk5qJh5S7fQ1LSdj1cdYLohoshH6ZABJ9Ih8ZhxMqiq+JhP1mwhED+iQyazjSHTvsHo3tnYzV+c1BIP+1m/fhNWbx/Ky0tRhHTobbVakQ/rUGewqZ+WHz4lRyhIJmRnLy6+cDgf7mnmgD/Kpo/mkRhxBT8dVIRJMlM+7UL6vbqW/W2N1Gz+hNWma5g1oJDOAlyu7G6MnHE1npJNfPzWCyzb1oiogXb4tzEAkZ6TZzL6rQ34drZSV1VJc4tGpHofAd1KftkQxo0ZiMkwiPp8JFQVXRQpHzudayaV4LIq6e0O2YzHYSaUfwXfnPkJLyzZRkugiZ1r3uOPcy10/90vmD7MSRfdAT95jHRFl08XzmeXWsw3v3UDE/oXoggqqZSBZsjk5uSmX75hHDbwhpFWREEQsLm64XUde5ifigfYvmwBj/x9Fb7QkUof3pLx3NN37IkdIeltGdlkpVvfEVw0fTJvLd1GOGGgA7LNRr7XjSCKGIZx+CynM4IWBAlLfiGi3PWl1hSLk4KyQVw35zzeXHsg/WxBwOn1YrdYEAkfs73XKZvZ4iA779jfVVdT+Koq+NuTj7Kn7sj5oeLqxvgbS5gzsQ+dk0xLpdi/9mPWfLiBhW+8gEUW0NUE4UgEXVMJVm/gofv/l+Tc33Btbi5mWUIk/X7SHBkni82N29MF3QGSYQ7tWMPS9xay+tO3kGQJNZkgHEyX6Wvas5b77/0PrAtfpcTrxW4xA8kj42MYHQt3EdnkICvHiXRM8KJTtfZ9Hn9kAQ2hTgcq4HDn8J1uUxlU4jnKEXZ+LCBKMhabg4Luvcia812M9r3c99A7NEdbaAsbZOXlYjWbIJrWY+OwLAYIElabC5fb9rnSgqeKIIjIiglZMWHvN5LLbvkBsZYafvzMchLNjYiW3hQ4HWnHa3SsRumUTUAQJSy5eYjHVSaKh+pY+veneHZ9DWrHuZgkmygccillQ4cf4wgFScIky+nzfF3vuN8p4CguIttmRm+N0FZfR9KWR35Hmb7OBrOQ1mMDEBUzFm8WQhcGmaIoosgyAumdA80ARBNF3fKwmSWMeJxDtQ2YezuxWyxAqmObuGOcDDAEEUm2k53r6jij70Tn4IYlPPHnl6g/SodsTi/X5Z3LkB7eL3aEhkbI10rFlj3kDppDvyL34S3Q3LwcbGYzhFJHtqwP2yIJOPmCDKeYmiUgiDIDzr+MgQvWs7f5EHW79zPt2wPpmZeFKAp0Kx3D4IGlfLitHjUYpGj0OPocZYy0VJSata9z3388SL17Erd89yacFc+wbHPVMU8qHnIpd/1HGO13f2bN63/h0foywrtXkyg7h5/84qdcOq4nohFDtpgPR+JRTSA7N58895FkBkEAa48B3Df3UWy/+hFPvbmaGn+EypVv886KOYzsX0aB/QytC/U4rdXreeSlDVz58z9w1XlDsIg6eriejXsT9OjmpbSsDKtJwYjrpNQjUVnnJlN2v4EUOo5daYiymbzSAYwZqxOKHqnU4CwY9CWqdwgg2ejRqxc9ct0ciudRZDXjtFvo07MbkrgtvWXY6ZQ7tgRFyUJpv97p9POvAIvVTv/hQ8mymIh5s+jhdWHvVkx3jwOT0IKuqunNNcM4fJRi95RRVnpsz0NBFLFkdWPEqNFklxxJXpHtuQwsObZ6hwGomkok6KftqIopdBgoLREhFI4QTuo4B/akh1Wh2pdETalpQ9Fh1ARBwJXdl25dcI0DXUsnT0RCBCKhIxtDHTKp8Rj+9lbiKQ1XcXfKPA421YbS13GMI8YewYLV1YsexWbkY7IYBbxFfRgzdjwt0SPnPlaHlx45tn9eBk2QUEw2Rs38FuMWbeHdvQ7sdomcvn0octnZ6wujqmra2Bsd0bxgwZNTQn6ugviVnNsLeAt7M+nKq+n72krMbjcWdwHlvXIQV+xD19TD+qwbnc7NTvdeZcimY/VZMrnoOWQU4+WiwyW9REkmu3dfPLZjg0CTzU63HC+CKKImYwSC6d0ZxebE1rECFCQZe1YJ5WVu2FSLoaodiwKjI6ASMFtdFPQo7sIO9AJWq53cbA+iGCEVjxFMpsAAq8OOWZYAHUlW8BYV0cvrYHNdCFXV0jp0OIAxY3L2obS7GeU4HXIX9mT0cTpksbkoy7Mh/aN3bMTxtexiy+4I5905jgJ3Z2AhkN2zF8UuG7taAx36rNPplBEUkE++9+spj6ggiuSUjmHEkN4s3tYChYM5d0QZXms6ZdyUVcyQIYPIX7SRZrEnUyb0JsfZqSAG9TuW8r+//AOr9wa49P6rmDq0mC0bP3/ULwrg6daH0n5j6N1/HGVZFhznX8a9fftS1i0Xh1nGSIrk9eiF22bhYGuI9WsriF4yGDy2dCZfeys2ySDefJBqazk3/OJJupX8H394eiG7GyPUN/hIpXTS0cS/nsb9W3j54bkECwZiaa/k0w/qkYwktdtW0d5tOt/tPZWsQaMYlmOnrUEjHkt2nBtq6IaAKLsZOWk0ua5jsxjNtmzGX/FdBs5IHI5aAWSzDdvRW4VaDF/THh74wX9RX3QRd956GeMG9EBCJ5lIoAsiA0aPoyTLg90hMnLCKLx//ZhEKkmso7iypqevzpi8gxgzxIvt1C4THcbQNZr2reCRh/7CXsc5/Oe9N9Av341FV4lHoqQEO2XlAykvzkV2uxkzuIj3t9YRTMRJGQY6eseWlUjhoNEMLjzWuUmKhbyBU/nJr8aQSB7JCBRkExbLsduEJouNc+98nI9viBFLamAYJAOHeP7B/+Qvi3bj7n0ODz78EBePK0WyFzJtWDZbfM0k4zFUDARDR9dAEGS6j5pEz5xTv+JyWE5rDud/9w9smvPLDidoEGxv4umf3sD8dU3kDjqPXz/4MDN6uhD9g5gyooiF2xtIxGOomgpoaDooDjd5Q8fR0y5wbDa/yKDp1/HrCZeT1I6ssiVZweHOwmo6dgusraGaQ7WHMLLKKC3Mxm03gyDicOZQXNoDrzKYvg4Rc+8xjCrP47PqEPF4DE3XMNDQNDC5sulePoRCi/CF551fFjUeIdh8kMrGJFl5hfTsUYAsgCBZsHn70i3XQ+m44eQUFjFu8mjcf1+HkEwQT6XniabpINswZw1lxAAX1uOuBNg8vbjiB7/k/GjiyJacIKBYHDjtx85DqzOPUSPLsbyzlXi8jYMHgx2rcaEj+U2isHdfSrr1xjJ5OM6F2zESMZJqOrjUNB1BceDKH8LAnvZ08esuwpGdw8hB5SzY0ELc187BYKTDoYgISAiShT79etKtl8q0UcUs3N7YoUNH3ptid5M77Bz6OASU43SofOpV/M/oi0kcpUOiJHfo0Bfb22TIT/3WCmqtg5gyIhvnURUWsstGMm5QAR9X+YnHYunkNEND10C2urDm9gLqTmocTt0RCgJWTz5Dhg+n+MPt2EdOpLx7AdaOlySaXQwYPIQ+xblInpEM756P/fDkMTiwfStbauqJJmUkMUU06KOuJZSOrhIxIqEw0YSKGqjj49ee4+PWAh6bMQWvw4ZJVjBbLJiUdPK+KCsU951A37IF7Gg8wLalb/HOmrFcPKwYkxZg3bpdDBk1nNTeVSxsivG9K0Yy/aqbadi9nd+8V0tBvgez8q9fDRq6RjzQwMevPsdzS3dSHdjGrpVvIEsCuiGg6i5uf2gGJqsZxV7O1ZePYseLW/E1N5LUdeKBIFFBIX/AOVw+oRDncWeEkmLCpmRj+2c7cYZKtHo573+0gibTbhobDnLHzd+gt1dnyeLVBE3duPLKSynMcqCYBfJHXMCsYS+yqD5BU2MEw0ji8wWRrV6GXng5I3Isp1WFA9KrqGDlYj5dvpYtLasIh31cN2c6vR0RVr3xMWJeP2bMPI9Cjw1RtjLxopkM/ayS5YEWmhM6lmQYX1DDmtObmReOp8h97BmhIEooVie51n/ulCRZIaughKM3V+NNMnnZrvTPsXvJzc4iL8uDoavMuOYK3ts5j32+ZlqSBo5YgGBMwFEwkDmzx5PnPP0zQhQrnlwrntzO+1IGrfVWsh0mTLKIzemmsHspTqsJSShi8uWX0f/9HWj+VnyxKMWSD19YwFs0kNmXT8HVeZPhKOwuD3bXl6ltmWL3yjf5nwefJVU2hVvvvJ3pI3qTZVeIxuIozgJmX3MhOSYJMasnEy84j9fX1BFvbyYUi2JN+QhERXLLRnHetJHYTyDLyZKI+ln294f57YI99JpwCXfd8S1G9CpEMRIYRgJr6WQun9IDr9eJbfwlTB+0gJWhKK0tEQw9SVt7ELMjjyGXX8kArwnlOH1WzFYUsxWn95/LYra5GTxtFmOf/ZDVTSF2bdpOSB1BNOgjqkrYc/oy/fyRFOR4sU++nEn9PmCX5sfvi2J0E2j3hbF5ixlz6WX0dIp0oR/E6sxj8oUzKH17A3WRBjZua0Ad1Z2gP0BKMpPd+xxmjC0kNxemfGMO5Yt2YgTbaY9GKTP7aQ8LuAvLueLKqbikzwcwdqcHu/Pk66OGfTVsqtiLZ/BYyl2WY+5c2r2lTLxwBmXLD5JsbyYQjeCiHX9UxF08hJLB/Wna+C9yhCAgKG4GDBnBkN5LyD9vBkU5RxcTlunWfzDnD+7JuqIpdMt1H7PeEiUZUZQwyQlWz38aU01f7FEdWVbQU82seesttvQuIaflE95/fyU7G8089jcLZVnpZASTw0v/YeMZNbgnWQ4LOX1Gccl541m5tYaG+gp+95P/YPU5w8hKtNH9ip8z0WmhNuZnwVOPMXLU7xmb7aWspIjsshymDi/Dbf3Xt4PStRSNuz7mtXeX0xBIIgPJhEYSQJQR3Fl0z/VgUyQEnEy87odcXPlLXt+3k/pYlNp91cTsecz59m0My3OmCxCcCoKAlFVIrsvMobZm1r33LNs+W4DLLGCY8xl/w0+4fdYwXOb0OYc5q5zvfP8mqh5+m11b9hM73862ygC5fcfyvZsuwWs1nXZED6BkF+GxiqjxNj55+Y9s/OC5dN1DVWb2z//KnKlDccrpLNrSUZdy63W72PnwKrbWRbGnatntFxg6/RquPKcv2Y6urWQkiBKKyYzNZsNmMR0uJyYIEn0n3cBVF1Xypzf3srM+Rq/qvVTH7ZzzjZuYMzQXz1dUVUkUJUwWK1abDYvFTOc1PcWeRfcxV3PjrA94de9eqg75KFO2U53wMuX667hybNlpOB4DDJWgr5Xqmmpqdz5PU0sY7YH/Zs6IQg7tXoFUMpbvTB+EIopIzlyGTr2K2UtW8VnDbg41+bC3baKRQi6//Q4uGFLcJYlrajJB06E6Gmt3sW9+PQeakzzzxx9QYgpwaNta+lx6G8PyXDisNuTcodxy+9VU/3Ul+3ZVExujs2VPmOLh5/ODG6bhUqTT2isSzQ7cvadxz52X0fjwezSvXcTW5jnENu3Ab8pm3MV3cOXIfDxOK6aSMdx248X892tV1Ow/RKyHzJ7qJH2nfoc7vzEGWxfH6ya7h55TvsX3r/yI3yzYy/pFi2m8qjdbd9Uie0q44tbbGF1gx+U0Y4y8mpsu+4B526vYW9dOv8AODsRcTPzW1VwzodfhAhZdQahuB9sbNEafNxqH2XzM9QbFkcOAyVfxjSmf8WHTLuqafGSFtlCv5zP9+lvwxg7w1saTe550//3333/8Fzdv3szGjRuZNGkSZWVl6fJZJ0RAtliwpySGzZpN71wbpqMsoCxbKHAksA+cyeheOUd1JBDwZHvwyDpJJYfRE6dyyZyrmX3eEJLBMLklfRk8YhIzpgyH9u0sWbSU7Qdr2LOlgtWrVrFy5Qo+W/Yx7yx4lbX7I/QaMpwCj4vSAUMY3CMXk0nB4XLhze3OxDm3cPW0cjxWCbQ4Vm93ApVrqdi4mcpoFtfccgczxvXHZenazFFd19myZQsfffQRd999Nw7H58+FDMOgYd8uxJw+jB4/nokTJzFpUvrP5EmTmTLtXKZPHkeh157un2b30m9AP7LVOtas2UhNyMKky2/mpsvOIdtpPvX2NYKMYitmYN8CFJMVlzeHbiU9GXvuhXz7jru547JxeO3mw339RFEiq6gf/UqyCO3bwKr1W0kVjuK6W29j6pDuWE3SP8z6q6+v56OPPqJv376MHDkSq/XzFWgEQcDm6UlJkQeLyYzTnU1J73LGTJ7BbT/8L74zcxjZTuvh31lSrBT0GsTAYoXta9ey90ALecNncs8d36JfN2+Xt68RJAlRVOjebygTJ0xg/KjBZDnS+d2iyU7P/gPokZVi85o1VNaG6DtlDnd/ZzZFWc7PtWHSdR2/389LL73E6NGjmTBhwqlIhCim+3/2GDCacePPYcywtN6LooBitjJw5Bi8Yjt7t29nU2U7Iy/7DjdfOZ3ibPtptD4SQJDIK+pBz27ZmC0WLFKC+oM1BONxNHsvzr9gCt28NmQpfU/P4shi2KhhmOP17Nm5i60H4ky78ft8+6Ix5LmOvNP169ezYcMGZs2aRWFhIYry5ROwZJOFnv0H4rEq2G02hFgTB2raiMXiOHtNZtbUoXgcaZ0WJZmCssH0KbTTunczayu2I/WZyk233siY3gWYT7utWPoZ+b1HMLhvISbdx+b1G6gLO5gy59vcfe0F5HvsyKKIbLJQOnAkPb0CdXu3s2lzJVmjLue7N3+DAUXZJ2zhFY/H2bZtG4cOHeKCCy7AbrefhGgComSmdPgk+he5IFBFxYZdBC1lzL7+Nm64eBxZHZVeZJOFfsPHkK0E2LttGxt3tTB01g3cfPVMSnIcXdLKq5OE34fqLeW8qVPoXeg+tvuHIGC2exg6cgT2ZCOVO3expSrClG/dybUzR3GoajebNm7g29/+9gnt7gmHwTjBBaLnnnuOp556ip/85CdMnTr1Hw5sKh4jHgkjuLKxyuIxKwEjFScVjxDEhcsmH+MktWSMSLCd2sYArpx8vG47Zkmnua6WiKbgzMohz+vCX7eFV/7ya/77yY8Qrfb0XUNDQ1OThMIxsnqM5LtzH+WHFwzEqkA8GqalsYFgXMfq8pKbk4PTakIkRSIeJRgTIRkgGIljyDby83OxmpUufYkAqVSK559/nvvuu489e/aQn5//ue8xDJ1kPEbq+IbGkL5HJMpYzCZMypGU6lQiRjToo7k9hGR14/W6cTtsnK74hq6RiodpbmrGH46hCwqenFyy3E6sFtMJrwTEoyEC7e34wgkcWel3aLMc38D386xfv54f/ehHXHzxxdx22214vSfeXzJ0jVgkSHtrC+3BKKLJhsuTRU6WG4sify6zUFdTJGJBmpvbSaLg9HjJ9jjTlSq6OJI2dJVkMkkiqSJIChazqSO9PI2WShCPBmlqbkeXrLi9XrLcjhM2CU6lUhw8eJAZM2Zw5513ct99952STLqmkUxESWkGoqSk6zCKndU/DAxDI+Rvo90XJGkoZOfn47SauqRXY7oRcZjmxiZCsRSiyYonKxuP047ZpBxryAwdTUuvIn2BCLpkIScvD7tFOcbQP/roozz55JM8/vjjjBgx4oQB0xdi6OiaRtDfQlubn3BcxWxz4c3y4nbYMJuPC3wNnVg4iN/XTiCq4srOx+OyYT3++04HQycWCRH0tdEajGNxeMjK8uCyW4/Si3QSSiTow+fzE0kauHPy8TismE3yCWXx+/3MmzePdevWMXfuXPLy8k5BNJVoOIivrY1gXMPuysLrceGwWY7YlsM61I7PFyBhyGTn5eO0dX2/z1Qinj77k82H+6AeK7CBrqUI+tvw+cOoopmc/DxIJXj+ub/xxBNPsGzZMgoKCr7U8057j0axWFEsJ1ZQQbFgUiycKIdHMllx5RQxMKfomK8X9ex31P8ZJAMNNIdlBkyezXkThuC0KhhqgkighTUfLmR3UCMcTWAYBqJkwub00uOEG/cmzDYT6VrHrpOuTv5VIAgiZqudL1/BUEAx23Dn2nB38S8giBImm5viMjfFX+4fYLG7sdjdfN7Fd51MNqcXm9P7pWQSZQWrM5sezuyvSKKjZZMxW2TMX3DcJylm7O5cenb1i/oHiJKExebkhCIJAoIg48rKx5XV9W9MlE3YnFmUOk98JedYWUQk2YQ3txver2p4BBFRFvHkdMOT0+1Lfb/V6cHq9JxklcqTk8nqcGN1/KM5I4AgYHdnY3d/9Xp8RDQZuysLu+sfvL/DOpSHK+vkne3JoJgt/MP1vyCkG8PnFOI5ysGEw6dWCu/r0QLiC9HZsPBpPtrYwgU/eoh7LhyMw9q5TWuwKs/Hw8s0xvQtQe7yDuQZMmTIkOFs4GvuCEVGXXo9k6qeZ+1rz/LXppEU5biQBZ1QWyPbd5i59Ds3Mrlfzgn3zjNkyJAhQ4Z/xtfcEQrk9DuPu35czMZN22hoDdDUEEZULHiyS7n67ivoV1qAx37mS6RlyJAhQ4b/P/maO0KQLQ5K+o+kpP/IMy1KhgwZMmT4NySzn5ghQ4YMGc5qMo4wQ4YMGTKc1WQcYYYMGTJkOKvJOMIMGTJkyHBWk3GEGTJkyJDhrCbjCDNkyJAhw1lNxhFmyJAhQ4azmowjzJAhQ4YMZzUnvFAfi8VobW3l008/paWl5R+0YcrwRei6ztq1a0kkEixcuPBLtwM5G6ipqaG2tpbNmzezYMGCk+sq8G+Irus0Nzfj9/vZuHEj8+bNO9MifS2oqKigpaWFjz76iH379iHLX/v6H2eEeDzO2rVrOXjwIAsXLjy5Nkz/ZiSTSTZs2EA8HucEjZW+kBO2YXrggQd45JFHUBQFm82GKGYWjieLYRj4/X5aW1vp0aNHJpg4inA4TCgUwmQy4Xa7z3oDZxgGqVSK+vp6nE4n2dn/uq4DX2fa29uJRCLk5ORgNpszdugLUFWVSCRCJBIhNzf3pPo2/ruhaRrBYJBUKsW2bdsoLPxyvUROaIHy8vLo3r07t956K2PHjsVms3WpsGcDqqqyYMECHnzwQV588UVyc78OjZ++HmzdupUHH3yQKVOm8M1vfhO3232mRTqjpFIp6urquPnmm7n22mu55ZZbzrRIXwtefPFFXn31Ve6//34GDhyIxfIFPa/OcgKBAO+88w5btmzhxz/+8VkdSIXDYV5//XXmz5//D5uDH88JHaGiKMiyTH5+PqWlpWf1UvtUSaVS5ObmIooipaWlp9Qs89+VtrY2/l97dx5fVXUufPy3hzMPmUcyEcYQIIwCCTOKoiC+ivNUZ9uq1dtae7W9vvVabW3VS2vrVMdX61iHoqKoIFyIMgkEwkxCQhIgExnPtKf3jxMmQSs4JPGs7+fDBzhnZ+91Tvbez95rP+tZdrudxMREcnNzv3Ri3lihaRqSJKEoComJifTt27e7m9QjJCcno6oqGRkZ5OXlxXwX+pdpaWkhKSkJn89Hbm5uTF90d3R0kJSUhKKc2LR8X9onJUkSsiyjKMoJr1SIPvc52JVz8HsUomRZRpKkQyf/WP9uTNNEUZSjjjnh8H5ycB8R38vxKYpy6LuK9f3n4HF0ok7w4YyFYRiY5hGPFSUJWVZQ5K6NWxaWZWIYJoeXkrp+Wd05WZKFaZromoZhWkiyjKKoqKoipnASBEGIYScQCC2wAmxZtZItlXWEzeirrrh0Bo8azeCMeBRZwtBCHKjewrL1OwmEIiCrKN40phaPIiO5G58FmRqNuzex4LXXWbNjH/aU/hTPOpdzJvTHYYvtZA1BEIRYdmIRQLKTkZtN+Yq3eOrFRdR1aGCPo3DOrfz5zgtI8TiwyQre1GwG96niscdeZUt4ALf/4mo8Lsd39BH+HQswqN74MQ//9gGWduRy7dQIf3/6KT5esYs+L/2FMWkqThELBUEQYtIJ5CNLgI2kzH6UzL6YIUka+2v3sGPLJpY8ez9PLSyjuTOMpNpx+pMoGD2B4rGjGDr1LKYO74vf000ZX5aJGdjH64//jddLt6IlDGBY/75k+G0EGivY26yjm19/vIkgCILww3IS90EyLk8c2bn5JG3cR2c4SPuBPfztDw8wqu/9zDplACoSkurAH59EqsuF1I3PBk1do7N6M6s2V9AUNEiQZDKL5nHTfw6i1jaQ0we48djEU0JBEIRYdVIjVCXZhs03kFv/83KG9UvD1EM0bVnCn5/5F+srGw8uFc1iOokMnm+VZREOBgiGIpgWWFjYvBlMOWse588owmtX6O4mCoIgCN3nJJ+MKciqm4JT53FpXQv7nnyb/a0HWPvOMzyWm8fvbjqbJOex3Y2WESES7GDbulLWb6+jXZOxKzL9R09kSF46aYn+E2uGGeFAw17KPlvO9voQkUgEb0IafQuKGDGoDx4btFd9zpsLl1HT2I6phWmpWs+CRcuZOesMBqSLsmeCIAix7qRrFkmSjCdtILMvvJzZI3Nw2GRaarbw4YuPsGBNLYGwwRdDoRZsZdfSZ7nskut5YVkVA0YVsfv9+fz46h/z6LvrCekmJ1AeDj3YzKLnH+C6G/6DxbVeclItFj/2X1xwzZ0s37mPYKCVxvIlPPLcm2zb04Qe7qC+fDFPPPsaa3Y2/vsNCIIgCD9437h4X/rgYm696z8Yle7GpVrsr9zEw/c/yPbGNiLmEQtaOnu2r+X++/9Kte5nbHExI/vlctbc2Tg7d/D6U4+ycMNeghH9a27ZYvOHT/Pkc+/STF/OmjeFscWnccHMwbRuWcg9973I+v0GWdNu4B+P3M34ggxUl5++U6/l+SceYM6or1eDThAEQfhh+8aB0O7ykzv6HG77yXlkJcehBVvZseIV7n38I6rrWw4tZ4ZaqVz/EUs31KArbpISE/G7HGRk9MEu69Rt38A7pZuIaF8jEFo66PtZ+PKblNe0YnnSyE514ff7SMvJxBbpYPun/6R0w35sLg+piXG4nXZkxYbq8pMU78fr7q7hHIIgCEJP8s3LuUsKLm8cZ1z8Y86eNBS/U0IPNrPsH/N5+3+3Eunq6tQ6D7C7+4GFsQAAHzFJREFUrIy6oAWqHYfdgSxJOOx2ZFkmEDjA52u2oGvav9+mqWEe2MHKrc20Bg1ktxeP3FW9xuHEDrQ311O3c/s3/niCIAjCD9u3Mq+JrDpwZ43ihpuvYsbgVDANWmu2sWFDOQc0C8uCSDhEQ0MTFkRLsildpc2k6AhFQ9dobtiPaZpfvTHAMgzMpibqwzoRJLDZsUtEsz8lCQsLKxLGbGv5t+sSBEEQYtu3VE9FQpJVMoefxY0/3cn2u+azvTGEYRxOmJEVBYfDcbiupyRhAaYRTZCRJBm73RktmGpZWND1unTM8AZJkpEcDhyKhHKoBdEfsAwDM7pBJDV25+X62iyLQMs+dpavo3TtZjpNJ1kDhlJSMp50vwNVicWxJdFqRJVla6mubyVkHM7gUh0u4jP6UZCbitsZa/uXhR4OUV+5gRWryqhpDuFP78eUqRPJTvbjUA/vK0YkQFt9JZ988il720wSsgYwZUoxKV47th64T1mWSUdDFbt2VdFoy2JCYQ4e15FziFoEWhup2LSKz8oqMN1pDCway4ShOdhjvF6xGenkwN5KPt9Wh3lUtqNESvZABuTn4HP27LkkTzIQWljH5ISCOy6FolMv5qpVa/j9SyswjohgNpePrLxs3MoaMA0MQz80IalhmtjsLnLyc5EViQMNe9i+diU1RirFE0aSFO/HfmRBdUVFTsqiX4KLtWoLlqahWdEq/mYojG5J2D1eXGkiIearWKZBe9NePn3vBZ59/QNWrl5PU0gmNbeQs6/5BXdcdRqJXhdqjB3llqljBap4ef7veWdjNUH94L4u4U1MZ9Z1d5OflUyszdIZ7myjYdsnPPTAX3i3dCO1B0J4U/KYfNbl3H7blYzsm4IqgRkJUL+7jGcemU9pQwrjCjwsfmcBa3bU89PLziA7NY6eUcPCQgsH6WxrYVf5at5783VW72gmZ/bNjByYeVQg7GxpoOyTV/jz0x+ROnYy7vr3WfDex1x28885Y2QOcd1VOasHCLY3UPrCH7jnzc0YB6t0STKS4uX0a27n9vyc7m3g13BSYdo0TfSIhmaYX7gCkEnOyOe6239BSb8UXOrh1dt98eSNLqZfnA1LDxMMBDFMk47ODjTDxJuYweQJQ7ApBqWv/pnLLr+KC86/jEcWbaFd+0J3qWxD8g/i1Mn9SfIoWB0tHNBMdE0n1NZKWJKJyxjMoGEDgWjYjsZt69DdpmBhGBG2LX6Gt5btJLWwmOkThuFTwlSUr+Lxe/+b9ytaCRrd3c7vn6WFaN++mnc+XceadWVs3Lix688mdu9pJD07D0WOteK0Fi21ZTx+3328tGwzTR0hjHCA+t2b+OfTD/PkS4to16PHVqS9lo+ef5A/PrWEURffyqWXXsbsfgEeve+3vLRsI51fPJ67i2XRUruV9569n8suvJR7//oiy9btJGRYXxjGZVG3/i0efOBxPmnL5dYbruKys8bRseUD7rnvb2za00QsV2lsqV3PmwtWsKFs4+FjZdNmNle1kJjkx+no2XeDcDLTMOkabU11bN6wHH1NHQMmeXH57IemWJJUJ86sCdz1mxu578lPkQ52Gkgu+g2dylUXTOHe17exq6qKva15bNtSRggfI6bM4cKpBbhsHezeXU1LRxhLa6Bs0x6CZ4wE55HdFNG6p9Muu5nZ5Q38o3Qn6zY2kp3VyLoNFUiePsy78RZmDM/ENHTaO9oJhiMYhkFnewuRrqmYlG6dFqqbWQaS3kCjPJqb7rqa1DgnVvBy8v7zOh55axVtwSq27OzkzAEmPrXn78jfplAoxNqVq0gcUszZRTLOg7fEkp3UvmOZMjwJVy84uL9VZoDdOytpzj+P524qxhmqZdFLj/PwC58QCjeybs1qKurmUJTlo2bDh7zyr9WE5VRy+zrx+lT65qQiBT7jjZcXMXVsASV5PWAWdUlCdScxdPpFXFy2mscWbCDwxWUsA/QGPnx9AWuqWkmdmo1TVlCSEkm1warP3mHRhgsZnJtBkivG9gkAdKo276DK2Y/zLyiOPsoCJEXFlzmMKSMG4egFp9kTC4SWRu3m1SxZ8glyeg77lr3JImkmc08dQ7yja1WSgmLzMHjSRVze7KUm1RcNkpKMPzWfS277DRH7Y3y+ZTmvvFpHdXmQknm3cM1V59Av2YtqSYyZUMyYldXsNxI5c1oh3uOedCTic8dw4x13wqPPU/bm3+lM0tgRyOYnd17PreefQqrPib6vjJVlu8gunMDpuRr2uAiLP13HnFmnke7tBb+h74yEbE9l8lkzUFUVh10G4hhXlM8zizYStuXSL9tz1HOf2GARCgZYuaaScXOvoDg/m9REP067DUWx4fJ4SPYqxNzUp5KKEp/D9VdPY0j/TCS9gwS3ybJlK1ldE6Kt5QDtwQiWFaK8tJQte1uxlDS8HhmbTcHjcYGpUbNxOSu3XdYzAiESCem5OFxehhfm4fmg/JhAaBkakb07WLGpitagQbrHgyxJKA4HbllCa6/hf0vLuXRaEUmuGOsstwzMYD2bNleRNukSrjt9CIkJflwOOzabDZvLR7zP8+1kZH7HTngappzhJVwzvIRrvmoxWcaTnMeMcy+ixbAduvOyuXwk54/n1vsKqdi+ld17W5gy/RwK+2cT5+ka1yd5GTnrSh4vmERNJJ5hA7PwuY/fTJs7kYJxZ/LA0PFs2rCRAxEbcy7PZ9jALNSubFSyirjk5iIuufmEPukPn6QgKQqermPXMnWMSBs1e5tRvGmccsZlnNrPjdseY4HQjBBoq2TFmg0Y9S9QN6iQoUOHUzhsOIX904jzur+tDLPeRXIwpnjq4f+rcSSl5FOQm8iG/Q24vT5cdgWMJsq31dLSEUZyq9i66g0fzBJva9nDts274fSB3fZRjiFJqDYbsnzsKdvQdRqrK6htbiFsSaiqApKEJMtEF9eo2bSJqtYOBqbGViC0DIOOfbvYtG0HW/dX8sKBoRQOLWT4yFEM6Z9CcrwXVekNYfBbyxo9Pm98Ep6uzM9DJAnV4aNf4WjyCyyQ5WO6KG2uOLIGjyDTkv5996WsYvcmM2L8FCyiGaU9MCmtZ7NMtFAn+8ve5+UlWzH9fTn77BkkuJy94mru22SG2mgte5+VW/fQvqWWJR8tRLU5cMRlcfUdv+MXV84izWf/9yuKAQczu5Hd5PTNJy3ZhdS5m5qGdkIaoCgoXcOaDp4DIsFOmmtqurPZJ8QwdPbv30N7Zwgk++FhX3Do78791expDnZXE7uNbuhU71zFxo0bKdvRyObPFqMoCr7UfEouuIX5d15Mut+N2gtmNfhOz3OSJB16dviFN1AUBdWmoiry0YGSaDCTZeW47x1/OzKKqqKqKkovuQLpSQItNSx//W/87Pb7WLtrH3t3rmH+b+/mnQ11tAS+RoGDH5BARyOrl65BtzuRFRlT1wh0tHFg706ef/Aefvv4O9SHLfQeku/RbawInR31VO9txZs+gAnF40l1AoEOWkMRNIjeOXUtfvAwtnQdo733jO+1LIvO9gNENIODM+oA0SjY9U8t0kpra6S7mthtTNNg56pSGjo17KqMZWiEggGa6nby8XO/5+e/f5mte5p7RXJiTPbyCF8g2UjtP4rxE3awbU8D1fuaqVq3iKefXcjQ/3spCe4YGi+neCk692c8UHgOTftq2LxhDWvLtlJV10BTzRbeefYvTJ1WwplDk/A6Yvfw0QKt1O9czc4mlcEXXMHpEwbhlqNdiRHDjJ78DiZOWHDobGiaoPeei6voEK8wZlda6PGuy01TQ+spmbDfI1lW6DvxCn6ddRo1dbXsKC9jxWdr2dt4gNbmPSx6+SmKxxWSn5mIu4fnGsTukSwc4o7PYGhxOkMnTGJYHzd3/el5yvZH2LVhObvrZlOUcYLTY/Vi3qRsRk7LZuS06P8jHfVsWfoad/zmT5RurqGtoZIPln7OpPzJMRwILdr3bWfpwmV09pnKHbfNY3BWElihYx51SERj4KFhVpLUqwpdSICiqMcGQLOrW9gCSbZjs8deT5TN4aZo6lyKDr1isnXxc/zpj3/h5cUbaa0uo3TtVuadegruHp6YGHu/PeFLSCC5KJl3LVfMHotdAl0LEInE3pXukVRXAoOmXMz8+fdy6uj+SIZGTU0dmh6DAywBLBNLb2fFgldZUqly63/dyejMOBwyIMvIPj8JTgd24NDwXcC0oneJkt2BHJ/Ybc0/UZIs4/Mn47BHL3oOfh4LC6sruDucCSQmiCL+IJM37jxu/81vuGJ6AS67wf699QSDPb8HQATCWGVZWKZOOBxG0/WuA1zCm5TFsJLxpNolvN5EPLHULXocsmLD6Y6j/+hTmTt9NEleG5Isx2xJLS0SonrdEt5duYfBs2/k0pnD8TltBNpbqNnbiOVOIjvVh8suRStI0RU0uroWnW4vKVk9v9LIQYqikpqeg8/jRMKKloQEsKyuQfQS3oxcsuNjK2P0yzg9fnKGjOOaS04j3mFHlaSvlefR3UQgjFGGHqG9tpw3X36FZZ/voKUjFC2PpKjY3X68DjtZg0fTJzm2DnBTjxDsbKe+vpHOYBjdtEBWUNypDCscRJ9EHzk5fbDZYq9b1DQiBFrreOPZvxPJmcjs6UNROhtp2LuHVYv/xXMf7sKQkykamkuC14alRwgbFqbJoWL6vvhcCgp7ciA8OrVDUVVSc/uRm5KITbaIRLToRaRlddU0tpM3dBg5cbF1nABYpkmwo4WWlhZa2wOYXVW7XF4f+cUTyffFkd0nDVcveIQgAmGMCrfXs/zl+fzqztu5/qe/5MXSXYQiGqG2Fvbt2EazlMGZF55JTqKvu5v6vQq37WXFM79ixpmX8+pnu2gLHZwfU8Lp9pKQmMbEcaNxO2OvK0zraGLn+3/joZc+4eW//Jrzpp9CQcEQCocVceUdT9DqcmNaNoZOnsSwjAQsPUBbu4mum0TCEUAms2gSEwYkd/dHOUa0+H80CB45A46k2LFlDmVSUTYJTuhsb8e0LExdR7MkJGcWkyYNJjnO1V1N7zZaJMia1+7jysuu5YF/riWod5XclGVkbxzxaf04ZVg+iZ6eH2Z6fqgWvhOyLGO329EiYRq2Lud3N13FymnjSDD3U76tnpk/vZN5I1LwOGKrhooe3s/KZWup2FzOb2+5mdrbfs4Vc0qIV9rYVtNJ7rQfMaMwHpet5x/c3yZLD7Bt9Qfc8z9v0NARJKIZR907ebJ99M+KA0kmefBpXHLZKjY/vJCt5fvYK0fYtGMf8f3Gc/klp9M/2dNtn+MolomuawQ626mpriUQ0dCkILXVtXR0BojzOLCpMpLiY+ZFV7BqWxPvV21nb3sbkepa9kUUJsy9lNOH5eHpGVXEv1eWqbN9TSlbN1WyestuOhpv56aLppJkD7O7dC1Zp13EhNGD6Q15RCIQxijV4WP4jLnM+XADi7fsJRjYy9L338WbnMNZl17PFRecRZrP2St24m+T4uzDafPm8OHOVqpb9vDeP/6OGWpiaLJJR2Yx159RSB9vbF0cRBmsX7WSZsnPwEEFXyi2DxkjhjEiIwFFlnDEpzPxvBu5oaaF0sWvsqDSxtaGBC696SrOnTCAuB703Ll+9yZWr17F59UW2f0GkSK5iexex4fL+zC9pJh+fRIAifSCKdz4HxqtD7/Ca2+8i1qzkcQR53D1bdfQPz2hh8ym8f2SFTsjZl3IyC3P8nlNB4tefRqb3sLoLCcRqS83/mQ6fVP8vaLbUQTCGKW6/KQUns78l0ZStnYdO2qacSblMmZsEX2SfDFbnced0Icx597O2yXn8dmaTTR2GvhTsxk1egRpcS7UGC3ULqk+rrjzUa648+ssbSc9fwQ/e/BZZq1eTkULzLzoFkbnJx+/wEZ3kWQyB4xm7oDRzL3kx1+5qN2Xysip83hm+HhWfLYBTrmRW0YNI9ltP+7Ywlhgc7gYPfsmHhs9i43ry6is78SfnseQwkL6ZyX2igB4kAiEMUySZGzuZIaPn0qBbiDJKna7jZ50ruoOkqLiS8tn8mnZGGZ0Umm73Y4Sq2e8kyIhKQ7yR04k15KQFRWpl+9YkmzDmZjDxBnpSLKCarPFbBA8TMKXksvYqRmM0E0U1Rat29rdzTpBIhDGOFlRcSgqsZf68eUkSUZS7bhUUVP0m5AkGbvzB5REIkUDuutLJgGIVYpqQ1Ft9OapiXvlb9Q0dCKhYFcpJxlZUfG4nD2r20UQBEHoFXphILTobNvHwuef4PM97QQsJ4kDJ/HzK2bgc4n7GkEQBOHE9LauXAAcdg+jByaz9IN3efmV13hr6UYiutErqpwLgiAIPUsvvCOUsKkq2VnpmJEgBw6E8LQHMMzYrokpCIIgnJyTC4RdpXSipGjm1FGvHTkZr4X1xcl54VAVh66Fj6ndaB1Zrf6Yn5G66j0e55ngEe04Xo27I7d79PvRdh71+nHWZX1h/FRvqKMnCIIgfLkTDoRaOEQkEkEzondgsmpDkRUwIhimhWlZSJKEYnegYIGpE9FNbHYnNrsNmyyhR4J0dgYIhDWQVbw+Hy6nA1UGTINQOEw4HK1YrtgdqIqMYum0tHVic7pxqeZx+3S1cAgtEkYzLEDCZrdjd7hQFZAsg0g4RHtbOxEDHC43Hq8XuyJj6hEiWoRwJDqjgM3hwKaqGOEOAmETWbUT5/eAqdHZ0UkgGAbVgdOm4HDYUZ1OFIjZQsyCIAi92QkHwmBdGW8s+Ii1W2swsJE9aCQz/s9spLK3WPjpdva3BJEdCZTMPJtpp6SxdfknLF5Tw5BJZzJ38iD0YBOli97i48+2E1C8uMwOnDljmDGtmFFD+uK0NDaveJdFS1dT3dSJP62I6WeOJrT2Xzz75nKST7mQu284m9Tjta1+K+8vWsKnn+/Cl9mfEeMnccakUaiSSX31NtZ9+jEfrK3FZrShu7IZd+osziguxCW1snrhu3y4YjUtYcgsLGbO1CJK//k4by/dRv70K/nlzfOI7FzOe+98QHmTTL/cPiQl2Ghr8XPJLZeQLItAKAiC0BudcCC0x6WSrO7jreefYF/Iwczr/otzHCr+jHjWL36bd1ZXoSSMoOSaG3A6XPTvb+fPT9cxY148WrCVze8/y+13/JWEyVdy58+vRF3zd2596D6WrprLA/f/iuGZPpKSnVR89CpPrdxDyoBZtIc3sflfb/H57kayOzJpunAGqceJOg5/En18jbzx4ltMue1+zsnLxqma6B37WfjcQzyxYAOjrvxvrhoT4ckHH+SuxRuIe+YRJvZ1k5Lu59O3n6G0Osyg6U1Yu5fy/Av/pK7NYJ+Vxu6LJ/Ppw7/hteoMrv3lHczMauepBx5mi7OYc0ww5V6aeSQIghDjTvjc7YjvQ2HJuUwekojTplFTtZum1ghJA4YyJDsFp6RjdlaybnM7gc4Ito5WBk09i/w+CTRXl/P4o0+zqxnyBhdQ2C+dMeMnkOzU2bjsXZ7810oCoQieuCQyE90gQVvDTmr227j93l8zdkBf8gYNwOM7/pQneihEe20DGTOv5s4fzWRYbhJmJETV2oX84+0lNBrxzJg2kez+wxnUN5n2HZ/w4luf0dhh4vIlkRzvQlEk9lds49PwSP5w702MHV5Adm4+SZEy3ltWwZ6dO1i9ox5Pzilc+ZMrKcmJQzs4W7UgCILQ65zwHaEk20hIyWDS+JEs2r6cfbs280n5bvoHm2j3JJIc72NPWzulHyxhTv9xBJdvY3DJXLx2g62Vn7N6Ux1hKxmv14PLYcPh9+O1KQRa97P0o1K0SyYgSxJyV7FLm1Nl8PjZTJg2kvlZQ7H82aTEuaDjcJss0yDSvp9Ny9/jzc1efvGzy8lKjceuKgSDGltWfsjuva1EUuwYkSYaD7QQ0nR0LcyOjetp7BhPsiQhd10WqP4c5p03jUmD3OQOPRM5LokM+zYAggcqefuhX0PjDfzonImcMWcgyQoxW5tTEAShtzup3jyXL5GSiePxOh0EGit5d+HnlG/ZRW7xDCYWJIOhs3vtB6xZv4lllUmMKUjEKUdortpOTauGLinYbXYUCSRVRZUljHCI+q2bMQ3jqG05fLnkD8wlIS6BwjElDB2Yg+/I6vWWgRbqYNPyN3jo0TfR+09k6sh8nPZoeSzD0Ni1eSvtwRChtgpe/Ouf+ONDj1C6K0jf/v1JcJsoh76GaDRLysxiYJ9MfMnZjDhlHMMH5OBOHsjEocm4VJ0DdVv4x1/v53dPvE8wIR2vJJ4PCoIg9FYnNXzC4fIwoHgyBfFP8knlAco/WsCCtJHMOWMm2bPG8kZpJfV7yvn4/VTyJsyln1vCFtDQOjoJWmBJMooiHyrubAGWYWAGOsA6ejyg3eHD5//yaVssI0Jb1afc8+vtbKzTSG5/lhVnTuLUgYnYFBnLMmhr70Q3dPwJ2Vz7q4eYkqd+Yf4wi6qNB/8t4XS5cTqdh4dGyHZUVy5X3PpTth74Hxas3EHowB4+evFPyLLMo3+8lUy3Es16FQRBEHqVkzt1Kw7U5BHMHp9JvMvAaF7Hpr0eEtPzyB89lYJkBbmzjs079lIwagAyEpLdjiMuDs/BpBIrOm7PMgwM0wJFRfFHJ/Y82nFHCx5+V7HjSi7gR9ecS79UDw2Vq/njHx+jtrEFzYwW/vV6XCgyBAMt1NTWo+vGV6wxOjbw6OGBFrIskTH6fO68+9dcMnUoXqcK4Ra2rfmYz8v3EdH0L1udIAiC0IOdXCCUFCTVT/GZ08mKd6PIFnmFY0hOSCAtawijC7Oxyxa+rDxGZadEB7+rbpL6DiY3yYGKQUTTouMOQ2FCuoHqdJE5ZBiK2nWT+nWTTyQFZ0IGk8+8nNOLC3BZHax99//xxKJy6lsDKIqNvIH98TjtdLY28tmq1QSCIUzTQIsE2VO1h45A+Oh1Wl/YvmVg6nWs+KyW5MFTuPtPf+C62WNJ9tkJB9pobw9gimQZQRCEXumkO/NkWSazaCbDB2TicmcyafII/G4P/qQMJo8vwuVJpKCwkOzUeGRJAtVDZt9RTBqVj0sxaG1tpT0QorWpmU7dwpuczRmzSrDZVAzDQNOjXaSGoaFpBuYRkcYyTbRIBMMyAQtJkvFnD+O88+cwNMlO5MAu/vnoX1lcVoeBzMBTppObFo/W2cKi119hTeU+Gpub2b9jBe8tLqM1GMIwDAzDxLIsdF1D07QjqsgYmHozS199no21IRLzxnLLT69iUHYqbm8c/nhf9DMKgiAIvc5JB0JJkkjMGMCIsWNIGzKdSQO9uB0ybl8CE6dOJiWzH8OHDCHFLXU9C5RIyRnCT352AwXpNnZsWM/adVtZsmwZrbqbcaedx7Wzx+G2w4GGWirq2sGCQGsVFTtqaQ1qXcHQIhIJU7Grko5QGEOP0Fm/h8rGIGkFkzl/+gAky6Ru04e88NxLlNeHyD9lFmdPO4VUh8a+9W9x/cWXcM2Nt3Db795h0JSJ+OwmzfV17GuO1ixt2ldLxe4qgrrZdacnYZo22iqX8uzTz1G6cQf7mzvAlUzB6BmMLEjBbhMPCAVBEHqjky+6LUmo7mRKZp6DOSKVTKcNVQLsbtJGTee6eRZjxg7kyJwUm9NHXsmF/M/8VFZu3M2WDWtRjBxu+OUZjC8ZT16iEwUNmyuLs39xDxNag9hcfjIzHFjS4bqeqsOJkjGCX919H+1hA7srHpsJcUmpFJ1zG/OLGkBSiUvOQJUUHP4sLrzlLtIGj2H52i104iVnUBFTT53OmD4eHFIAtz+da+58kIs0C4cvmUSHBPLBZ4UKij2JqRdcC8lx7N+1mZ3NEeZefRvFkyeR7lbE8AlBEIRe6hvMPiGB6mbIhNMZqBs4VCWa1KI6sCcWcPWt/VBt6lGJLpJiw+FNYeyp5zJkfAedgRCm4iDO78XpsHUtaye/aCL5RRO/vNEOHwUlZ1FQcux7JWflcpyXSe9XxLlXDeK0c1vQsOFye/B53V13q36GjJ/BkPEzvmSLMootlTnXXB2tqaprtAZ0/H4fLpdTBEFBEIRe7BtOwyThcDhwOI5+TZJUvN6vWLWs4vHH4/F/s62fGBm7002S8/hVab6ahCQpOB0KEB2f+P22XRAEQfiuiAdbgiAIQkwTgVAQBEGIaSIQCoIgCDFNBEJBEAQhpn1pRotlWWiaRjgcRlGU77NNPwi6rh8alB+JRAiFQt3dpB5D0zQMw0DXdcLhcMx/NwePM9M00TQt5r+Pgw7uJ+FwmHA4fLj2r3CUcDh86LuK9XNNKBRC10+83OVxA6GqRqu7lJeXI8sy9q6ZHISvzzAMdu7ciaqqlJaW4veLNNODKioqCAQCVFdXs2LFCtzuk8nk/eEwDIP6+nosy6KqqoolS5Z0d5N6hIqKCjRNY/369XR0dGCzfXnx/VgWCASoqKigubmZ0tJSfD5fdzep24TDYaqqqnA4HMjy1+/wlCzr2CllFy5cyOOPP05TU9O32khBEARB+C6pqkpGRgaPPPIIiYmJX+tnjhsI29raaG1tRdO0b72RgiAIgvBdkSQJVVVJT0//2r0Ixw2EgiAIghArRNaoIAiCENNEIBQEQRBimgiEgiAIQkwTgVAQBEGIaSIQCoIgCDFNBEJBEAQhpolAKAiCIMQ0EQgFQRCEmCYCoSAIghDTRCAUBEEQYpoIhIIgCEJME4FQEARBiGn/HzJPHEU0JlmpAAAAAElFTkSuQmCC)
Maths-General
Maths-
The value of median for the data given below is
![](data:image/png;base64,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)
The value of median for the data given below is
![](data:image/png;base64,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)
Maths-General
chemistry-
Which of the following solutions has the highest normality-
Which of the following solutions has the highest normality-
chemistry-General
Maths-
The frequency distribution of the marks obtained by 100 students in a test carrying 50 marks is given below Then the mean is
![](data:image/png;base64,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)
The frequency distribution of the marks obtained by 100 students in a test carrying 50 marks is given below Then the mean is
![](data:image/png;base64,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)
Maths-General