Question
Three blocks A,B, and C of equal mass
are placed one over the other, one on a smooth horizontal ground as shown in figure. Cefixime of friction between any two blocks of A,B and
is 0.5. What would he the maximum value of mass of block D so that the blocks A,B and C move without slipping over each other '?
![](data:image/png;base64,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)
- 3 m
- 5 m
- 6 m
- 4 m
The correct answer is: 3 m
Related Questions to study
body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be
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)
body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be
![](data:image/png;base64,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)
A satellite of mass m is orbiting close to the surface of the earth (Radius R=6400 km ) has a K.E. K. The corresponding K.E. of satellite to escape from the earth's gravitational field is
A satellite of mass m is orbiting close to the surface of the earth (Radius R=6400 km ) has a K.E. K. The corresponding K.E. of satellite to escape from the earth's gravitational field is
Three masses
and
are connccied to cach other with threads and are placed on a table as shown in figure. The alcceleration with which the system is moving is ![negative m s to the power of 2 end exponent open parentheses g equals 10 m s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
Three masses
and
are connccied to cach other with threads and are placed on a table as shown in figure. The alcceleration with which the system is moving is ![negative m s to the power of 2 end exponent open parentheses g equals 10 m s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
If the surfaces shown in figure are frictionless, the ratio of
and
is
![](data:image/png;base64,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)
If the surfaces shown in figure are frictionless, the ratio of
and
is
![](data:image/png;base64,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)
Three blocks of masers
and
by massless strings as shown in figure, on a frictionless table. They are Pulled with the force
. If
and
the tension
will ![b e equals horizontal ellipsis horizontal ellipsis blank N](data:image/png;base64,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)
![](data:image/png;base64,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)
Three blocks of masers
and
by massless strings as shown in figure, on a frictionless table. They are Pulled with the force
. If
and
the tension
will ![b e equals horizontal ellipsis horizontal ellipsis blank N](data:image/png;base64,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)
![](data:image/png;base64,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)
Assertion If
then
Reason If
is a homogeneous function in
of degree '
' then
For such questions, we should know the formulas related to homogeneous equation. Before solving the equation, we have to see if the given function is a homegenous function. A homegenous function has same degree for all its terms.
Assertion If
then
Reason If
is a homogeneous function in
of degree '
' then
For such questions, we should know the formulas related to homogeneous equation. Before solving the equation, we have to see if the given function is a homegenous function. A homegenous function has same degree for all its terms.
Two blocks of Nass
and
ane connected a heavy string placed on rough horizontal plane, the 4 kg block is Pulled with a constant force F. The co-efficient of friction between the blocks and the ground is
, what is the value of F, So that the tension in the spring is constant throughout during the motion of the blocks? ![open parentheses g equals 10 text end text m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
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)
Two blocks of Nass
and
ane connected a heavy string placed on rough horizontal plane, the 4 kg block is Pulled with a constant force F. The co-efficient of friction between the blocks and the ground is
, what is the value of F, So that the tension in the spring is constant throughout during the motion of the blocks? ![open parentheses g equals 10 text end text m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
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)
A plate of mass
is placed on a horizontal frictionless surface and a body of mass
is placed on this plate, The coefficient of dynamic friction between this body and the plate is
. If a force
. is applied to the body of mass in along the horizonal direction the acceleration of the plate will be ……
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)
A plate of mass
is placed on a horizontal frictionless surface and a body of mass
is placed on this plate, The coefficient of dynamic friction between this body and the plate is
. If a force
. is applied to the body of mass in along the horizonal direction the acceleration of the plate will be ……
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)
Three forces are acting simultaneously on a particle mowing with velocity
. These forces are represcaled in magnitude and dircction by the three sidcs of a triangle
. The particle will now move with velocity…..
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)
Three forces are acting simultaneously on a particle mowing with velocity
. These forces are represcaled in magnitude and dircction by the three sidcs of a triangle
. The particle will now move with velocity…..
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)
A body of 2 kg has an initial speed 5 m/s. A force act
it for some time in the directive of motion. The force
-me time (t) graph is shown in figure. The final speed of the body is
![](data:image/png;base64,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)
A body of 2 kg has an initial speed 5 m/s. A force act
it for some time in the directive of motion. The force
-me time (t) graph is shown in figure. The final speed of the body is
![](data:image/png;base64,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)
A force (F) varies with time (t) as shown in fig. Average force aver a complete cycle is
![](data:image/png;base64,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)
A force (F) varies with time (t) as shown in fig. Average force aver a complete cycle is
![](data:image/png;base64,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)
Fig shows the displacement of a particle going along X axis as a function of time. The force acting an the particle is zero in the region
![](data:image/png;base64,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)
Fig shows the displacement of a particle going along X axis as a function of time. The force acting an the particle is zero in the region
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAccAAAE/CAYAAAAzPQjGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAHKTSURBVHhe7f3Xl2TXleYJfqa1Vu5urmVogYiAIAmSAJPMqmRmkplZU9NrVWW/dT/3w8x0P9b/0Wv1moep6ip2ZXfOpBYkEyAAQkQglEe41mbuprWWs/cxdwgvgIgIuFu42D/EhbmbX1PX7j3f+fbZZx9Nl4AgCIIgCJ+h3b8VBEEQBGEfEUdBEARBOISIoyAIgiAcQsRREARBEA4h4igIgiAIhxBxFARBEIRDiDgKgiAIwiFEHAVBEAThECKOgiAIgnAIEUdBEARBOISIoyAIgiAcQsRREARBEA4h4igIgiAIhxBxFARBEIRDiDgKgiAIwiFEHAVBEAThECKOgiAIgnAIEUdBEARBOISIoyAIgiAcQtMl9n8+o3TR7XbQbbfRbjbQ7nTR0hih1emh12mgp+6BlvfptNDuatCGHlqtBjraNBo6QPvPIgiCIJwfzrg4dmiroVFMILO1iI1f/RUWok088f8rBKcv49aFIK6EOghqEqjtLWE5a8dC8wKGQi5MDZgRdOphJAEVBEEQzhfnIKzaRaddQ7OcRHn3ISLz7+PD9z7Gb+8+xaO1CDbiCezG49hdX8fuzh6iuSqy1TbqLXrcGffUgiAIwlej+w/E/s9nEHZ9GrLH1AvQdGC3ttDRGZDcq1OvoAGjDWjS/YVSC5ndBtqWIAJTExgdsCPoMMBq0NLjes8kCIIgnB/OgXPUQ2uwweIaQGDuJsYvzGLaVYG7uonczjJWyD0+jVYRbfkAexDhgBVBlwEWowijIAjCeeUciCM5R50ZBpsP5qHLGJiYw6VhAwZ0GdT3thBZi2IjVkXeGoLBTwLqNMFl0cGkp0eKOAqCIJxLzsdUDo2ODKQdsIzDFZrG5UsBjPnprkKa3GMC2Wwd2qEhWMMDsBn1MJMokjZKpqogCMI55XyII8ucxkC3ZphdQYxOhTAYdMDKf6m0gLYGtpALNj9np2pBUioIgiCcY86JOH6OxmCAxR+AIzgAlycEj90Dr80Kr0MLO+mn9twdEUEQBOEw508KyBnCbILRYoXRaIHRYIJJr4fJqAF7S9FGQRAE4fxpAdc8aLfRabXQ6dBtp4M2bZ12V5UMkKmNgiAIwvkRx26b/tdBt1ZCJZtDPpNFIZdFvphFrlBAOlNCvg7USSRbvLt6kCAIgnAeOR/iyG6xS76wU0erXkUxX0WpVEW9WUOrXUejUSWhrKBUbChxpH8ijoIgCOeYc+IcD8SxgU67g3rLBI3RAbvHCa/fDpfDCF2zRdrZRIeElIVRxFEQBOH8cg5W5WDoI3ZadNNAs5BALrqCnUgaW4kGcm0bdO4QBmamMDzoxZDTqMrG8TxHSc4RBEE4n5wTcTyAPio7Q5WI0yssrj68Rkv/tGqpKq1GI5P/BUEQzjnnTBwFQRAE4ZuRyKEgCIIgHELEURAEQRAOcabDqvzReOOJ/oxOp4NGltoQBEEQvoEzLY7tdhv1Wg2NRkMl3tjtdhgMXCROEARBEL6eMx1WbTabyOVyiMfjaquRUAqCIAjCN3GmxZHFMJlMYnNzE5sbGyjk85+FWgVBEATh6zjT4lgpVxDZieDpk6d49OgRdnd3USqXlaMUgRQEQRC+jjMpjix87BozmYwSxC1yjhvr69je3kYqkaS/1T9L0hEEQRCEw5xJceREHA6n7u5GkaDbXD6PfC6PzY1NFWKtVMoijoIgCMLXcibFsdVqIR6LYWd7B4l4XI01FotF5SB5K5dKSkAFQRAE4as4U+J4MI7IUzf29vZUGDWZSChhrFQqiEQidN8WCoWC2kfcoyAIgvBVnElxZCGM7cWwG40inU6r33kMMkFCube7p6Z3cLKOJOYIgiAIX8WZEUcWOQ6VlstlpFMpJYQsjKVSSblEDrXyz5ykw24ym82iWqmq9R0FQRAE4YucKXFskgiy8HE4NU/u8HDolMvH1et1RHd3yVnuoVDIo9lq7v9VEARBEHqcKXFk4dvZ2cHS0pJyjhxO/aI48j7sHrc2NpWAsnvk0KogCIIgfJGzJY7kFHciEawsr6jw6YHwHRQb12q1qNVriEQjappHPp9X7lIQBEEQvsiZEEcWRh5TbLXbKnTqdDkxOTWF2dlZhMNhuN1uuFwuXLx4EdeuXcfQ0JAqQs5iKWOOgiAIwmFO/aoc/PY5dMrZqJyF+vTpU+xsb8NkNKnf1zfWsRvdVfu99tprGBwcVKFVn9+P8fFxDA8Pw+P1yHJWgiAIwmecCXFUS1PV6ypTlSvj8K3T6UQykcSnn95TY5DdThd/+md/hpnZGaSTKegNBuUw2VHabDYYjUYRR0EQBEFxJsKqLGrs/CwWC0KhECYmJjA2NoaBwQElfmazWW2BQACjo6MYn5xEeDgMt8cNk8kkoigIgiB8iVMvjgfCyCLH44herxc+nw8mM4ke/Z0do9rIYbbaLbW/0+mAx+OBy+mC1WpVCyCLQAqCIAgHnJlsVRY33jjJRm0a+miHBa/b20+v1ytB5f0OHicIgiAIB5wYcWRnd7AdBepZ6H/0jJ//rn7rJfAc1esIgiAIZ4+XLo4HmaY855CTabjkG0/LEARBEISXxUsVRxbGSrmMVCqFaGQHWxsbdBtBtVrd30MQBEEQ+s9LFUeegsHCuEmiuLCwqOYorq+tqbqo/DfeJPwpCIIg9JuXKo4cTmWnuLiwgIcPH+Lx48eq9FssFlNrMDYbsqSUIAiC0H9eijhyOJU3dogbm5vKMT55PE8iuYjV1VWsra2rdRc5vMruURAEQRD6yUsRRy4IzqtmcGk3DqlyeTcuFM5JOewaf/vBB/jkk0/UfZKcIwiCIPSbvosjO0F2hNFoFGura9jd3UUun1Mh1lazpcKpy8tL5CKfYi/Gay4W1MoZEl4VBEEQ+kVfxZFDqVwDlQUvss3ZqZtqTcV6ra7Er9PtzT/kyflcH3VjfR1bm1tqeoesuygIgiD0i76JoxK//bFG3ri2G5d887g9quYpl3zjkm4erxcjI6MIBkO0i4ZEsaGEUT1GEARBEPpA38Oq7AotZrNaU3H2whwuX7mCi5cuYWp6GqNjY6po+CuvvILrN25geHRErcVoJhHVSok3QRAEoU/0TRwP6p5yXVOb3Y5xEsFr16/jxs0bSiCnZ2Z64jg5gZskjrduvYIZum9gcFAVFOdaqIIgCILQD/rqHA+KfvNKGBxKnZqaUiv28/JS7CSDoSBCAwN03yQG6XdexZ/DrVabDVoSR0nKEQRBEPpB38VRrZhBG8Nid7Cc1OHtMLJ6hiAIgtAv+j7m+EW+mKBzIIoHvwuCIAjCy+KliqMgCIIgnEREHAVBEAThECKOgiAIgnAIEUdBEARBOISIoyAIgiAcQsRREARBEA4h4igIgiAIhxBxFARBEIRDiDgKgiAIwiFEHAVBEAThECKOgiAIgnAIEUdBEARBOISIoyAIgiAcQsRREARBEA4h4igIgiAIhxBxFARBEIRDiDgKgiAIwiFEHAVBEAThECKOgiAIgnAIEUdBEARBOMSJEcdul/8HaHq/CoIgCMJL4wQ5x311FARBEISXzAkQxwNR7JJ77G09GykIgiAIL4eXKo4ajQYmkwkulwvBUAjhcFjdGozG/T0EQRAEof+8VHHUarWw2WwIBAKYmJjA7NycujWbzft7CIIgCEL/ORnO0e1GiBzj8PAwBgYGYBTnKAiCILxEXro46vR6JZBWqxV2u13dsqMUBEEQhJfFiVYhScsRBEEQXgYnTxxZETucsSpzHgVBEISXwwkTRxbFDtBuodtuok2/t+leukdcpCAIgtA3+iqOnUYd9UwGpb095Ko1FOk+Fr/PIa+obQH6FBrlKDbXotjaTCGdLqPZ/PKegiAIgnBcHLM47jvBbgvNahHFZByJ9TVsPX2K9QiJX7GCeKWGQq2OWq2GeqWIejGOdm4Ve5FFPHq4hqWlGOLxIhp1EUdBEAShP2i6qiTNMcDP2m2g06ygWswim0ggsR1FdDOKeCqPWngE+uAAPDoNbFoNjPQATbcJtPLQNzcQSXTxKDKMgaFx3Lw6hhuXB+F1P/v8R375tZVVvPvuO3j86DE69DH//M//PW7duY1Ou6MyYjlbVhAEQRAOc7zi2CmjXUkjvbuF6MYG1pfWsboSwVacxNEfhM7rhZ2E0UwiZVAuswW0y9A1d5Eq27Fdv4rZ2Yt489UZvHEjjIDH0nvuZ0DE8YD9snydjtp6uU70uemz8+fXqCOl7kRXHQ86LvSd6GiTrkO/4IPf+574PFXBFrpXHf/PvoT9ffgnjQ4anU6Ffehrku9JEI6BYxRHetpOEe3CLnbXFrC+uICFJyt4shTF6m4JdbsdGrsVJhZG2vhC11Cr0O2Qe2wWUTcOoul7HdevXcEPb0/j9SuD8LvEOT431OFoN+uoV0qocfi60UGDfbrOCKtJC72GWuJWE+2uBh2NHtCbYTSZYLfqYeCWl5DG95jptOhrqqHRaKLebNN3xCLIc4C1dJ7S3+m66PB31Gqj3aE7LHbobE7YDYCZftXJFyQIR87xiSPTqdO/PIqZPSSiW9haJue4sI3NaB51roQT9MNBV7+FLm5qlvchL0MOR2v1whSYxkh4EJNhL0YDNmrMP9/rmxBxJOgzd1tFVLN7iK0vYTcaQzRdRRJ+tGwBjPkNcOlq1Beh76NjQNPogdYzguBACFdGbXAadepppO09ZtoV6kdGkU2lsJcoYCvWQJ06MDavDWZDG9pWlb7DHMrFBiptI3Sjl+Ceu4YZNxCm/qKJvib5jgThaDlecfwMci+NAvLRXeytbCO+l0Vrehrm0RH4qNvrIIdCnWC6wOkSJ/fS1erJvRhhsZpgoN4zN9F88T9PAyDiSHB8rpFGbncRy7/9JZ48fIr5rSKWtdNo+ObwxrQFw2Zy8ek9FGs6lHR+tH0XMDYzgx+9NoKwm44/HUg9fy37TykcPe1SFOXdp9jZ2sbqVhZPoh3U9XYEwh44zC3o6znkd0g8k0Vk66SGV3+E4Hf/Nd4Ma3DF1YXNoFHhVUEQjg7dfyD2fz5GODxEm94Mk80JZ2AAARLGEDnHoNMBj8MBp90OB212uxUOmxlmowGdRk3NeSQFp8f3xsieh2wmg62tLSTiCSWW169fw1B4SI3tqPG2sy6O/PF0OjWFppbYRDmXQaGuQdo2B83gDbx+aRRXp/wYGiCXaKbjUSmhGImhVKyhERxFx2yBVdOFkTow0vgeA90qnd+7yGwu4+m9ZSxvFhGv22GYuICRuRlcHBvEyOAAQj4/AnYDfLS5HEZoPGNou8Yx6tAiaIH6fs76qSwI/YZHNPoAj6HooDeZYfM44QrYYerU0ErGkI/tIbFLjpK23d2o2vb2ItgkUVtcjWIzkkYmV0GzyaUAhOeDWkyNGQaLW9WtdTvt8LidsHsH4QhNYmhsFjNzF3Dp2ixmJ/wYtLZgTGwgv76KlVQN22WgwjlSfYgtnEuadIBzq0jtrGBhOYHl3S6y8CEwM4e565cxNz2JmckZTE1fxIVLl3Dl2hyuXhrDRMgFD3VaTPQU0mkRhOOhT+JIPVtqYDWdhgrzNTKr2Hr0W9z91T/inX/4O/zD3/4N/vZv/gZ//dd/g7/567/C3/zV/4W//vt/xt9+sIiPFhPYTlVRE3F8YTQ6PfTkIA162uhnnd4EndEGs9UGm8MGh9MKm0UPk4aUsFpGvVxBudlFjb4zFsZ+BN7PF3xAO+hUi6hHlpGKbGE730KyY0fT6kPI68KQ1wKHzQqrhdw7R1T8QbiHRhAaG8fIgAdjdg3cBgl5C8Jx0Sdx5Aa2jXa9iFpmB9ntJ1hdeIQHDx7iwcNHePiItocP8ejR/vbwPh7NL+DRagwbsSIyxQaabRHHF+UghNz7sjuqNF+rUUOjXkOtUkalkEepWEKp2kS1a0CHxNNs1IDznzhbUkJ2x0EXrVoZxcgmMrE4Ug0tSkYnNDYvfFYzfHTMjToeF6fvQGeA3uqCxROCIxjGoN+NMacGLrKOPOVG1FEQjp7+iSM1yI1SDsW9TcRXn2JzexfryRIShQqKFWqk63XUaatxg10jp1iro1prot5oo0X2RdzLi3Nw6LpqSkAdrWoB1UISuXQM8egOdlbXsb0dx16ugZzRA3gCvTEuanxNdIb07SQ5Z7RqNRRie8hlsihBj5bFCYPdAYdBq0KmX0JvhsbshskZgNftwBCJo4PFUbRREI6FvrV7nXYLtXwemZ09xLbiKFiGYbn2Ni7/8A/w1k//GH/0s5/h5z//OX7+s5/jT/70z/BH/+qH+PGtMdwYd2LQbSAXI03At4IsSLfTIvdeQi0bRS6ygK3VR3h8/xN8+Ov38OFHT/EoUsGedRi64RnMBE2YcABWyYQ8Bnph1WargWK+gFK5ijZdilqjUc0x1bNdJ7582PXQaE3Q6S0wmw2w2TQwGnrOXhCEo6d/lxZZvw45QNJIahrMMAWnEbj0HVx59fv4zvffwltvv423aXvr7R/h7d/7Md5683V879ooLo+6EHIZYBRxPALIgXOVHF7xpFlHo1FBtVpFuVSj2wbqrRY6OtqLzopmtYlWvbe/cNSwOHI0pINGs4VWq63uUhnZvPV2OgTfy5erTmV+6/dD3oIgHA99u7y0eiNsHi8GpqYwdeMaxkZGMeR0I+B0weuww2G1wmKxwmq1w2Rywe2mv/mc8DgtsFBPmRsO4VvA01e0BugtLlgDE/BP3sTs5Tfw2pu/hx//6Z/g93//dXx/zoqZ8qeoPv4V/va3Ufz6aRmJfAuNlsS0jwOdRgsT2T9OlOp022ixUNJ2MPVYjrogvDz62vfU6jTQGTjCV0c1tYXE0kOsPvoUj+/fVwk5jx89pNsHdPsp7j9axPxGElupCvIVajTEwLwwB15EQ1ZDZzTDYPPA6hmELxjG8Ng0Ji9fx+zcFKYHbQhr49Bm1rG4mcXKXh2lGpcsk2b6aOm5QL3RBFfAC4fDCmOzhnYxj2qxiAJ1RngNmi93B/k7oHs75OjJadYbXSjDKV+NIBwL/RNH6hk362WUc3Gktpew+emv8fDXf4Ff/vX/gb/8i1/gF7/4Bf4Lbb/4xX/Bf/nP/wm/+P/+Hf7yN4v47WIK26k6NQaiji8KzzL9EuRYtFoddVZoI0evMzphsjhhs1nhsmpg0TVUmLVSbaItWcLHQE8cDVYbPCOj8Ac9cHaq0OZTKKVT2Cs1kKQ9vrRIm6o5XEWrUUalUqcOYxe1Zpdzj/d3EAThKOmbOKoGmv51yAK2G9ToNkpoVHMo5tPIZFJIpVJIJpN0y1ui93u2hFyxjkq9hbZ0kV+A3jHrkCup12skdlWUyxVUS3lUChnkc2mkMxmk01lk82UU6100dDbobS54nEYSSp4X+XVjYMK3g5yj2Q5beAaB8AiGXRp4uxl0MtvY3NjE0mYSkXgayTR/P3yN0G02jxx/T7UmatRn4WLx4E0QhCOnb+LIs+y0WiOMRgesNh88wSA1CiEEBgcQDA0gFAphYGAAA3wbCiDg88DrsMBu1qtkHBlyfFHq1BEpo0riWK7WSRyrqBczqOWiSMV3EY3sYGdzA5HdFOKFLor6EIy+UcyMujEWMsNm5gSQ/acSjoj9k5muBV1gFv7RKUyPODHqrMJSjSCytIiFx0tY2dzBxk4UO1H6nnaTiCXzSOboe2yQp+ROy0HRYUEQjpw+1VYlOCGk2YKu1YbeYEUnPAf3zBVcvHgJly9cxOWLc7g4N4sLc9OYmZ7E6MgoBvx+TAx5MBx0wuuywmjorRLxrJz72qr8odslVPN7SG4tY3c3gd10FYmWDU2dCX5zHdpaCrnYJuJ71PimW0i1/DAPXsC1167i0rgHAzYtrAatmk8nHDE6PWByqakbFk0J2naRXH2OhDCLTLqIRruBcjGPUiGPQpHHf4Fq1wSTwwa31wrqN6oKOdJ3EYSjp2/iyG2rllprPemb1qhHXUOXNDlJqz0AhzsAv89LYuiE32mDTmuB0eSAh9xjMOCC122D1WKi+5+vGTj34sh0uRpOHc16Cx29HQZHCK6BUQwNDWBywKGKWZv1WhiMdmp0g6rm6sjUFK5cGMKIVw8Htb6kjWJQjgU+sCbqLBpgMWnVSjQGkxUarVmVjeNEHYvZBLPJDJPZDovNAbvDCTddD267EcZ9YZTvRhCOnj4tWcXwIEkFHXIqpeQ2Fj/+BKs7RSRdN2EJjmJ00IFpTwv2bgXLKyU0DHaE5kbh8TrgtBhg0/WWrnpW+EPJYsdEt03/WiSONTSbTTRaHbTAy4IZYGJHqKWOQqeNTqdLm0ZNRtfp9TCazTDsh7Ofr0siPC9cnKHTrKtODJf0q9ZqKumGE6K6RisMJIpm+j6sJJRWo05FULRcWo4eK8IoCMdD39o9Vc+znEM5toXk+lNsbG9iZS+J7WQRqXwTlbqOGmwjzEbAZ0pCX49gezuJrZ0C0hlqNKTw+Iuh0UGjN8Foc8Hm9sPjDyLg9yJInQ6Xwwa7zQ6bwwWHyw2Xh1y6h++3wGLQSMiuT2i0euhMNnLuXjj8IQQHB5WzHwgFEQr44Pe6Vck4l50F0gA9CaM4RkE4Xvoojg3U82lkN1ew+/QRNlNZbLd0yDe65Gb4MjdCZ7DBZjNgzJuGtbWJpfl1PJ2PIhIpoFZr9Z5IOBI6nQ65kwpKpRId2xpaXB1HquG8FPjYcyYxfx/1WgOdrk6Jpc3lVOub2kx6VT5Rxn0FoX/0TRw5rMnur1wDyg097AEvhiYG4PfY4DAZYdLpYdDzmAv9zVqDoZVGfDuK2E4S+UwRreaXZn0J35JGo4FEIo7trS1y6NuI7cVQKBTQpoZa6A88osHfA0/V4Okbm5ubiMcTqtC+zsB1Vs0wGuma0Oug10rGtiD0kz5GzTRoawxoam2AxYfQSBhT0wMY9NngMmlg7LbRafWSR1Avqay9XCqDQo5cY7WuxgmFo4EdItdUjexEsLy0jBXatqhhTiYSarxLOF5YFPk74FVocrkcIpEIFhcXsLS4qH7mFWoYrmjEZRNZFEUXBaG/9E8cOTtVb4HO5idtHEF4lMRx1I8BlxEOXROaOi+jlEYmlUQ0mkEsXkSJRLHRbvGysPT4PuUNnXG4YW5Tw1wul0kQt/D06VO1rayuYnd3r+ce2+LSjwt1/On4sjDmc3k613dVB+Xxw4dYoO+Bs6s51H2wryAIL4e+iSNnhpoMGjgsgMPcQqVYQWwvh0w6i1wmhnRsDZHVR5i/dw///E/38cH9CBIdI+o2J7pWa29OmPCtYcfSajaVOO7u7mJ9bY22deUco+RaUsmUWvhYGubjg0Op2UxWCeHDBw/UtrKyolwjV4Yq5PNokHjKdyAIL4++iaOWnKPFqIXH1oHbVEcmlsLKQpR6zlESSWqYtxexunAfn969j396dxV3VytouAMwDw3A7PNAaxBx/LawMPJ0jhIJI4fzeGOnWCqXkKcGmRtmbqBjsZhK0hGOHuUY6VhHd6NYI7e+vLSkjnmROiR8zKuVCnUY02ofSZAShJdHX4sAqIn3egM0RhP93oW+WUe7XEG9lEOpVECh0kSxbUXTMYXQ5Tfwyndexa1Lw5gLO9TK9MbnTNeTIgBfhrMiudHdJpe4QW4xl8/B5XZjZm4WwWBAdWDiibgK9zmdTrXwLh8jne75KhMJX02xUFSJTxsbG1hcWFD1UgfpfBwaGoLP54Pb7YHFYlFzcPnYe+k+PS/cKAhC3+lf+TgWIx0LoxU6LrhM17xV00anyVMIumhr9PQ3J0zeEQTnbmP2+g3cvBDGzJATIYdRlTDTPqeYiTh+mVq1qpJuFhcX1XijzWbDxOQELl66BLfHQ66ypUKr2WwWJl6RnkSRsyW5gRaBfHHYAbJDZ0e+s7OjnCJ/DyazCddv3MDkxAS8Hq+a6M+roHBYm6vljAwPw0DHXxCE/tM/cWTvSM5Eo9NDy5PSDUaYLHaY7V64fEH4B4aoFz2C8NgoxifHMBzywG3WwK7XqPJmRj0XwBZxfFG4gVbhvEhUJeDsxfYwNj6O6ZkZ5Vy4XBkfl3K5pBJCeOyRnaaLHKSJq+UYqGNzzjoTRwEfUzVlhjoj6+QY2TnWazXlFCcnJzFOwujxsjBa0Gq36dgXaf8EzNQ54e+GOymCIPSfPk7l6H5eJqteRbXWRrXFbtEGi8MFp8dN7sUJN7lEl7EBTbOgknXSmQI12DVZV/BbwMJYqZSRI0eYSqfUWGOThI8baBZGr9cHn9+vVkYZGRmF0+lCPB7HxvoGuZyoGotkwZQ5kM/GwdguT5dhh8jHcW1tFbvRKMqVEiwWM4niOGZI/LwkjG63G4FggH72qE4KJ+xwwhSPQXJmq4w9CkL/6Z840gXeaVTQKMRQjK1ikxqLheVNrG/vYmcvgTg5lWRiD8ndLeyuP8Lq4jweLGxjaSuDeLaGeksaiBelQw1sLptTjoSFjhtch91OguhTjbPVykWuHdRABzFBbmZkdEQ5RRZRnpjOoUB+HDfWXWmofycHwlgsFlWIemlpSSXd8DEsUweFxxQHBgeVYxweGaFjb1XH2k7fh4Ncut3ugNFoIhfZUWOUXDWHvy92oIIg9I++hVW5fFyrFEdlbwGxpQ/xwXsf4t337+L+43k8mp/H4/knmKfbJ48fYf7hp7i/HMXjuBFNnQ0et0sVC7DyGj3PgYRVe7ATYZHjLUGOUK83UMM8jAsXLsAfCKixRR5T5Eaaw3h8y2Hw+n71Fn48/91OAmoxm89P0fbnhM8rDkWXS2XVEXn06BE+vfepct/dbkeJ4tT0tAqXcgIUfw8Hx5GPKWeyqjJy5Bp5rNdGgmkwGj4b95VjLgj9o2/OsdtpolnKori7itjip1haXMCjlU0srZN73NhSDTcL2ebWttoiu+Qms2XkKi3UyDV2pOP8wnCDy2FSTggpUcPtD/iVMHo8HrUM2EFHgYWR7xsfH8etW7cwNjaGJgljnB7H8yDZ/aSpw8ECwIib+Rx2jBxGzaQz6jgtLy/jCXX4VuiW7+dQ9Sgdz2kSx9HRUTrW5v1Hfg4n5PDxHxwaUtmqnLiTiMXVGKWEVgWhv/RtyapWJYvcxjwid9/FyvwjPHLeQCF4EdNuA0JWLexkClmpu+hAq6Hed12LbM2KADmbqZEgxsJe2K3PnrnHH+q8L1nFXy1PJudG9r333lMdEP6277x6B3fu3IHL5VKu5IvH4cD9cAiV630uLDxV4cFKpUpOxoZLly/j9ddfV1M9hM+p1+qq88FhVC4Dx8UV+BjyMb585Qpm52YRHh6Gz+uFhYtafAUsopwpzMUZWFTXV9dUJvGd117FwMDAvqMXBKEf9C2syok4tVwaxXgMxVId5cnvwXv1+3j1yhxuXZrB1bkpzExPYYq2mZlphAcH4CcxHPBY4XNZYLWan3s6gYRVgWQyqQqLs0DW6w3VWF+4eEE5GG5sDx8D/p2PM7vIXtFrvXpcsdQrFMDjX8b9x/F+3Mng7bzCjo7HBbmYBQviQaWbMh0vv58cOh3rK1evqLFcL7lCzvz9uvOO7+eNz09260+fPIXFZlXhWJ52I5mrgtA/+taqaXV6mB0OeMMDGJgcgcduh7mtgZHegoEaWW5oNVpubHlc0aAWdNXvL9PDTcnZl7GjhxtuDqdymI8tI49z8bxGzlJ9FkGzkcMZ3B8nm5qaQsAfUNVb3n3nHTy8f1+Nq/H42HnNYuXjyx0GduQPHz7AgwcP1LQNOznsq9QRe/07b+CV27eVY2Rx4xX/v04YGb4G1Fgj7cthVZ7awYk9XCyACzPUqjUlnIIgHD/9m+fYpQa0WUG3nkOjXkSkoEUmV4W+llEFx/PZFFKpJDmdONKpPezspbAdK6Pe1sFgNlGDwSvTi3N8HjiRhsN829tbajI5h6h5vItDdJw1+U3oeKkkatD11LHhhpuzXgvUWHNSDwuDKsrAjfW+ezwPSSN87hxko/I0DQ45b2/vqPmjxVJRJSzx8WVnzp2KcDisMlFZ9L6pQ3JwTnJh+DSX8qNODbt0zmjlMUoek+Tv7awfY0E4CfRVHLuNItrlBErZPSytx7G5sYN8cgexKK8puEW/b2BjYx0b6ytY2UxgLdFBQ2NSPXGvywqzUbJVnwUWLnYdHNrj8S9eI5ATPbih5qQQDq0+W1kyjdqPBZI7Jny8DsbFOLNSzcOj12J4Pw7TnuVxMT6uLIzsFvf29lTB9u2tbRW65o4IO76hoTDGxieUQ2eRZGFUUZFnPNd4P54uw+LL81IP5jnycWWRdLldz+T6BUH4dvRPHNtNtMpplFObSG4t4sH8KhYWV6jHvYHNzQ2skyjyROn1VdpWFrG0k8Na3gatxYWA341wwA6bTOX4RvizcUINhzt5biKXieMCABweHRkZUZmQ7ECeB27c9QYWP6Oa9sHk8wUlCpyI0um0e6XmqAE3cYLPfuN9Vo7vwTHl5KZiodATxtU1PJmfV8t8sXgFB0KYmZlV4+Uj5M55/igf5xc5Bvx6HKrm52U3ynNU+TvgqR1+v+9Md0AE4aTQty5op9NCnVxHIZVFJp5FlUcbfSE4g4MIDAyqpINBuh0cHKAGfAADQR/8LgucJIgmvayC/qxww8ouhsca19bWlNPx+/wqpMqVWJ5XGBku28eP4wafp3dcunRZhQ35d3aPvGgyO1TOsOTEFHaXZ6njwULFLo47WgsLC1h4uqDGGblqkNliUh0uHpOdJmFkZ87H+kWFkWEh5JJyUzNTcLvcqloOzzfNpHuViji8LQjC8dK3qRxNco2ZlUfY/OhfsPLkKZ6O/h46M2/gTtiOKY8RPrMGpIHk8NrUGHPoqobdWAVWqw0hEspQyAOLWaZyfBMchuOkmXv37uFT2gYHhzA725tGwNmTdod9f8/nh50MPz+HVLmR3iPX9OD+p0ooKuWKmj85d+ECbt+5g2F6vbMCf1Yu1r7w5AlWV1dRKBTV2B/PB52bm1OrmqhVTMg1c3j524Y9+ZLkc5M7Hr/853/GB++/r8SWa7Heun1bFXDgSjqCIBwf/a2QU86jns+g3uygOvIqnNO3cGMqgAtDTviocXE4eHPRhe+lhtwFMzpw2oxw2HvJCNyjfh7OW1iVPxe7DA6nKidHnYPh4TBmZudUqTgbdTS0uhdvuPl48XfAImC12eg7MSnBVNAB7nQ7qHHosVhSq1BwKJIfcxSC0U/4fbMgctiYx8HZLbIr5uxcHst1u1yq9NvszBwmpiZVyPrg/DyKc+rgOfi48cLHpWKRjjMdYLqfjyOPbfJSY4IgHB99TMjpQNOuQdetQWvQomAKo6NzImgGbHoteDhRSy0sFwHQaNrUIJSRL1TQ1WhhMJnUHC8Rx6+HPxPPt+O0/93oLjbpc3PijAr3TU+p2qksakfxmfm16H+qoeZ6oLzuIIds+XdOVuG5fjx9hEum8X08V5KTep73+3sZcEj6IOGGP8cnd++qsUXucJjJLU5MTODSpUu4ePGScnD8uXk89rjEn8WYv7Nmq6mmcnCFI662w+exIAjHR5+dYxrVzA4ysS0s7ZbUdI1qegepvS1Et3uZqpwByNmqy+u7WN6rotLSkTiaYbeZ1dzH5+G8OUcOp/KYHyfhqDUZyc3MzM5glFwOV2U5KnE6OHYsCNxpYdfE8/L4+dlJcpYsh175OKt6oSTavDWaTTVflUvWaU+IUPJ75DHSfK5XmJ0n8HOpvG06b/ZiMTW/kD8nr1wyQmLI4siuMRgKwung5bxM6u/HdS4dHOsqHT+u2cqJVpxtzCuoHHyfx/XagnCe6Z84tupoFBIo7q0hsbWM+c0k1iNx5JNRxHd3EN3ZVg3S1uYGtjZWsRbJYD1Dja3eCpfDDr/bBotJslW/jhYJD5cd48+7s72t7hseHlFTCjhBhEXsqD8vPx830OxIv7jRt63+sdvhMC9PS+BbrhH6uzjO70O53f1bFnDeOFmJRZvPE567ycLIjpc7GJwAw8LOY94DA4Nq7cvxsbHeEl/klHmKBjvG4z6POLTKx5iPH6+1ybc8pYPHOPlvB4UFjvM9CMJ5pG/i2GnX0MjFUYyuIr61ioXdAnYyRVTLBRQLeeqhZ5FNZ5DJpOk2jkShhUTdBavDjaFAbyqHrMrx1ah5ceTWODGGt3hsT81rvHrtmhoP4zEqbmCP6/Py83JDzY02i4adXs9kMqoQJYsPvzceN+OfeaUPvr9Fwslje+1WW41VMsflwPj75kQifl1OcuGpLTwlI0vnHE+258xedomcYMSLPBeKBfUYDkVz54LronJoemhwCE5ybdzROK4w6mH4dfjY8vvubVW6tyf0nBTEx1xHfz8r57IgnBT6N+bYbqFTLaNFDU+z3kLBEYZ+YBJjI8MYGx7CcHhQNT48jWM4HIQvMAi7M4jxQT9tbgz67TCLc/xKWHTY+XDyCK80z2FCnlJw85VXlEhy43rcn5efmwWYhUM12iSQaqOfeV4eCyGHLne2d0iI9lSiCTtKbvB5agKHWXmO5HGEW/n7ZlHhuZksfuwMN+hYcTbz6tqaOmacgMOv7XA6EAwGVbYtT1vhjFR2ix6vR3224+xkfB0skCzu3Ak6mFaSJFF3uz3kYr2q+tFZOZcF4aTQt6kcaDXQzqXQiG8jn4pj0TyIvC2IQYseHqMOVj1P5eC30oYGDeTyNcQSNTVWFgx4EAp6YJapHF8JJ49wmbiVpWWVOMKf7TZ9zrd/9KOX+hn51OKs1Ri9P55z+fTpU3z66adoNpoIk+AMqDmtQ6pyDwsQj6Nx0guLFJemO3jvfPusn+PgdOZb3liUD6rapJJJJYR8vFggORuVXSTPJRweHcUcOUTuVPD74LDlcYSiXwT+HByS5mQrLin30YcfYX19Hb/34x/jtTdeV++fQ7yCIBwd/RPHThuoFdEuJVHOxrESy2GvSr1wexgOlwcBpwl+axuGTgOpdB2VFjkRixk2uxVOuwUOqxmG55iGcJ7EkReJ/vDDD5FJpZVL4yzKK1euqOWOXjY8tscukYUoymOim5tqqgcXdVBjf/unnwofcnF6s5k6RJae+7RY93+2qsSXr3Rt9Hh+Br6XMzu5ig2PFVarNZW8UipzSLekBJKzZ7udrnpNDuXycxkNRuW+giSIXO6Np7xwok1v7PTkwMeKQ9N7dAx5+TE+p3k+6c1Xbqr3zeFeqZwjCEdH/8Rxv7ZqqxxHPrGFp/ceYC1aQdp9E/bQKMaHXJj2tuHslqlXnEVFQ4JIvXm31wUviaPTpIXhOcrknHVxPPjaGuTC3n/vN/jNb35DAqFRLuz6jesqq9Ln96t9Xib8Ptm98cZjfixc7CY5s5bH+nhpJs4S5QQYFk0dCSTX0j0Yv2QHx6FODtFyluvBczIH3x/f8vfJ45i87iSHmTmzk1+HNw7fsnC43XQuebwqocYX8MPn9amwM2d/Wm3WXoILbQcifNLODw5Bs/u9e/cu5h8/VqurcNh3nL5rrjDF00pO8zktCCeJPk7lqKNZTKK0u4z42mM8Xt3CUqqJDILQmr1wuxwIuagBM9agLW9Tr7+AnYIR1YYOeq0OdrMeRv3zJUGc5TFHdhIsJru7USwvLWM3GlUCwmFKTh5hAeCG/mXDx5iFiwWH3Rg7Qg5XHoxNsgCyOPH75Qo+7OC4LB07xoP3r5JpSFQ5NMor7WezGfUzrxDC7pALD7DwckeBHSLDYsiJSCx+HCblaRijo2NqGsYQdSDYbfmDASWWXDWIHSs/ht/rSe448Xl80DnIZLOq7iq/bx5+cNCx5OMsCMK3pz8pd0S3Qw1cpYRiklwCNeS5WhUlvQ6NDofDeIFXPbR6njOnQ9CWg7G5i+21CDbXk9RbLqHRlHqSBxy4MRaJVXLH7Ly4UeTsShYDnpjP4nNS+KJAsuAdiBYLOZdEu3j5Mm7cuNELE968qcLB7IhY1NgNsYjy4w4+Nwsgb6o4975QHIjvZ4I4EFLPcfHiRbzyyk2VnMSLDnPmKU/L4Dq+vPiwjVwqH6sDQTzJHSZ+jyzinIE8MTWlwtDsuDkZix0lZ+Dy8REE4dvTN+fYbtZQyaaQje4gubeHHF3kbU8IBtMA3HYfBjwuDHoM8FrKMNYWEN9L4YMFoN4ywuOyYyhoh836fGMqZ9U5spOq1eqIbO+oBBdO1OAwJCe5sDNiYThJ4ngYPu4sdrz2oZ0EnQXwwDny+F8vzNnLdrXZrErwWCBZ/Hpjkr2QK3cCOOzK+/Mtj7spF0rO88CFDg4Nfpbsw6/Bf+ewrdnSc4qnzWnxsVMul44fz2vlzFUWSf4snMzE2cFckEEQhG9H/+Y5thqolCrIZ8so1ttwTYQQGB2CWUsNltkJn90Cn1MDhy4PTX4Rm1tpfLhAxlZvw0DIjdFhN+y250uSOIviyO+dXROPo3ER7I8++ki5BRbF0fEx9flYbE56o39w/Hn7oqtkATwIubITVsJJYsfja1zYnEWOi6mz6+SNx9r4vkAwCD/twwLI+/PjDoSQE3p4LiC/zhcdIm+niYP3zMeJjxeH1Rv1hiq20GqzY9SoDgIfN0EQvh19C6tSqwSN0QKdwwerfxhDw4MYD3sRdBhg1zTIIuZRySeRSsTJEaUQ3SugWKMLv9NBV03xEBh2jZxwwm4xySHqdFqtn8hz8w7CkNx4nla48WeBZCfIlX1YAFn4ORQ6PTODCxcv4tLlS6q+6YULFzBD901MTmJ0dFStPMIhR34ch1bZcfIalGeJA0HnDgSHjaemp8hJWsArhbCT5EQnHn/lMWlBEF6cvokjz1uzGDrwmGtw6XLY3drFgwdbWN+MIhLdRHRzHiuPP8BH7/wav/jP/4K/e3cNuxo76t4A4HRDc4ob/KOEi09zUsr25pa6ZZc0vD9PkLMvObx62hyR8PxotToVMp6YmFRrP/I3zpESnsPJY5AskIIgvDh9E0eNRgejiR2BFW6XFWi0UU7lUc4mkU9HEN9dx+bGOhbX9vAkokGy5YVvNIzBsRA8AScMRhFHhqvf8ET/7e1tVWdzfHwMk1NTyjmqlTfIKYk4nn34K+axx0CQ3PXggHLKHFblrGVeTYQLz3P4XRykILwY/RNHrR46swsm/zjco5cxPTyCiwELBswVGJoZlAp5JApd5PXDcN78Q1z90c/w4+9ewncvhzAVssJilBR1bui4ogs7hFgspn7nzM7Z2Rm4PW5VRkxZCOHcwAI5MjqKcXKQnIQUj8Xx8P4DRCMRFIuFXoh1P6NXEIRnp69jjlqjGXqbEyanH3azE26jFR6nnRp2O5xeJ+xuLxy+IfjGrmB05jIuTw1iasgBv9MIg/58t/o9YayosSWuA8qrcHAIlcfaOCmFf9brpQNx3uDxZU5CYvfIY61ceo9dIy9bFtlhgSyqc0UQhOejf+LIkL6piB9tzToXU7bC7h1AaGwCo9OTmJwaxcTIIIZCQQS8bvjdVjitRpgMGlVu7DzDDoAdYy6XRb1eU9Mc/NQYBgJBlbzCSSyciSmcL/g7t1HHiMcdeY3J4P7yZLz0Fs+B5VVHOBQv3lEQno/+taZc17JVRauaRTWfQDxeQjxvBNxjCExfxsy1K7h6ZRqXJvwIW1uwtkuoc33MWhP1Jtfg3H+ecwovdsvl1jgJh2uIhgYG1MoRPImd3YMI4/mlJ5A21VGanJ7GUHhY1bLlscfd3T3qUOVUhSGeBiQIwrPRtxa122miWc6hHNtEau0pltf3sJxoo6gl1+MbQmB4DCMjYYyF7BizZWCp7WA3msL2bgHpXB1NEsjzDIdSOVU/mUqS4+6oDFVeUukkT/YX+gcnu/E0Hp7eMTY+qgqrs0Cyg9yN7qqpP1I9RxCenb6JY6dZRy0dQ2rxPtY//DXuPVnG3WgO2/kq8o0uGjADBgdsFh0mXRHYGot4/HgdD+bj2IqWUK2fz/Jx3NvnjRfg5RX+OU2/3eZJ/8MYHRtVlVEEgd0j16MNBgMqosC1Y3kIY2tzA0tLi9je2lJF3wVBeDb65xypgW9Qx7XS0KPWscEXHsLk3CjCQRd8NjNsBq2ahqA1GWB0NGHs5JDciiKxHUM+XUCreT57vdyg8dqDu9E9NXbEYshjjJydyq5RwqnCAXwucOk4nvs6PT2tCiLw+cPraW5ubqo5kCKQgvBs9KllJfej1aFjcqHjnoJl7A5effMN/PT3ruPWdBBjTiOc9E607SanZdL+ejQabdSzaTRyGbQrZXTb59M58lxGXiSY10E0Gk0IhXoLBJtM5LQF4RDcCeUaq3MXLqiNO1Jch5dDq7yEG2ewHqxcIgjC19MnceSakFo11cBi0cNq1UPTbaFeLqJM4pdL7iLJVXI2lrCysIBH95bxaCmGRLWNikaHNk9ROGcT2w+WaeJkio21dRVO5XqjnJHIZeJ4fpsgHIavEs5cDvj9akyaVz3hurQ83sjukZN0UsmUcpBSIEAQvp6+xeS0JI4mgw52ixYOSxu1Ygax7Qii21vY3ljF5uoCCeNjzD96gvc/3sT8RgkVgw1alws6mxWaczSHjxstnrrBC/XyUkS8IDA7SF6JgjMSebI3N4CC8N9AnUi9jq4zOld43HF6ZhYjIyOqzizX4d3c2EAkEkE6lVbzZiVJRxC+mr6JoyofRw26w2GGy6FHp5JDNrKFPSWMy1heWsDi0jKeruzg0UYDuxUbHEMD8I8E4fI5oCdhPS90yDUeTN3gDFUWRr3BoMYZeUknDpWdtqWWhP7Bheh5FRIXZ69OjGN8ckJFG3hMMp3JKPe4QSLJcyD53JIwqyD8t/RPHLU66M12WDwhuAZGMOi1IGAso1tMIBeLYDcSQyReRLJmRt19Cd6pW7h+bQqXZ4IYCtiU6zwvNKk3z5VNOAy2vbWtEm+4diqHx1T9VOpkSP1U4Zvg5C2e3jE0OITRsTFVZs5I97E4Ppmfx/r6uloomwVSQqyC8GX6Jo4gcdRYXNB7J+AcuYorc6O4NWlD0NyApl5GtdxEtWuHzjeL0df/ALff/n28dXsad6a8GPWaYTb0762+bHg8iEuArVIjxutRBoMhlX3I4VQedxSEZ4U7URxxmJyaxM2bNxEOD1NHNIonT+axsLCgzi+eAylZrILwZfq22HEPjXKQWqMFRn0HBp0eMDpgcfrh9g8hODREF68f48MWeOxatKv0kBag12hhNpLz1D2fWzptix3z++JGKp1OYWd7B/PzT9S441V637Nzs0ocrTYreLkiQXhWPl9I2kSb/rO5sbxYcr1WU9OkeJzSZDbLWLYg7NNHO0by1G3Tvzqa1QIK1S6KcMLoCSMwMoWx6SlMTwxhYsCEQcM2OsknWHi8jqeLcezG6CKun/3EAc5QzefzSCSSqrpJjRouTsvnxAouF2ez26mRk0n/wvPD4uhw2DE9M40f/+THuHb9urovSefa2uoqVmnj+ZB8DgqC0Efn2G030S6nUY0tIbl6F3fvPcSH9xfxdHkTK+vb5PC2yS1tYWdzDVvLC1jezGE1a4HGZIPP50DIZ4XF9HxrOp4258hTN9gxbm5uqEQczssPh8O4fPkygoEgDEbDiXvPwumAzxtOyOHOFTvEg995rJEL2bOLbDaa6j52llxMQM414TzTN+fY7bTQLGdRiq0jsfIAK0tP8GhhCY/nF/D0yQIWF5exur6Bja0dbKxHsBNJIpEroVBroN5qn4s16Ti1PpmIqzX5StRY8bSN2dlZlVShN+ilsRK+FXz+cIiV58hy9Zy5uTm15BlP++Bzjysxra2tIbobVfNrZS6kcJ7pozj2JrUX8yXkMiW0NLre/EX+I12API6mt9hgcblJDBxwOczkFA0w6HX0N3J5vT3PJAdjjZyEw+HUfD6nGqXBgUFMTU3B4XSoHr2Io3BU8HQgrs/LUz24FqvL5VLnIEdaOMTKmdI8x7YscyGFc0r/xJH+a7a1qLZtaOiDGJy9huuvv4YbVy/j2sULuHLlCq7euoUbb9zBd793GXeuj2Kc666aTTCTMJz19RxZGGPxuOqxN5stWKxWhAZCGBwaVBmqmvO+oKVwpHBniwsDDIXDmJqeUWORHKHgBLD1tXUscMlCEkoWSJ5zy3MhuRMnCOeF/oljV4M2jGhpndBYhzA4dRVXbr2GW7ev4/ata7hx4youX79G21XcuTOHaxcGMUTu0aHTwMhjhGf4uuRGh+ebRSMRNeeMx3t4VfdAMKAaME6cOMvOWXg5sEB6PB7lHi9cvIjR8TFYLVbkqYPGlXQ4xMo1fWOxmLqPE8QkYUc4L/QvIadVRzOfRC22hvzuGlaSXWymG9BrMmh3S8gXC4hsJxFZ20Itt4zVjTg+ekg91rYePq8DQwMu2KzPl2Z+WhJy+P18eu8elpaW1O+87BDPa+SyX1ZykIJwnHDni5NwuMCE1+uDTq9DpVpVSWFcqDye4GXS2upc5IxpFlVBOOv07SznC8pk1MJh1cBhaqEQT2F3I4ZSq4mGro1Go0CiuYXo00XMP97CwloSiXwZ5UYTzU5HhWXPGgdhKnaLyVRKhVS5Gg6X+jpIlBCEfsBJOjxl6NLlS7RdVh0zvU6vCgRsrPOakEuqsg6vKVosFFT+gCTrCGeZvjlHNmnc4dSZDNDb7OQW7bBZHBgYC6v159xWA5yaGoytMjL5Jorwwzl2BdMXpjE9OYihoEMVAngeTrJz5PfA4zi8wn9sL6aq4fB6jZxFyKspDFPjpMYaT4i7Fc4HfL6xk+RwPifpOOwOdR+Pie9EdtSKHqVySe3DpegMUspQOKMckziSFKl/vVXs1cbuj64hDV1UOpMFnbaReqs2eAYH4HTa4SDhs2la0NNjSk0jYA3BNzyJkeEQwiEX/C4TjPrnM7onXRxr9ZoSRi4CnUql6XiYVI+dS3zxeKMUFxf6DV8THGLl4hNWq03NidTSfdUqz4UsolqrqhVj+PzlUCsXyWc4MiTnq3CWOAZx7PCyEiSGDTTpIqrVG+piYpfUbLXRIpXqQIdORweDyQQLCaPJSD1QLV2UdBHq9EZ0jQ4YHV7YXF74PHYEXFa4bUYYzpA4csPC4VSuTrK0uAgtNSwcTh0eHlFrNvL4jyC8DFjoWCA5xG82mVWCmMFAnVo6R/m8rZFQlktltam5kHQ9sZPk/WU8UjgrHLE4svJRT7JVQbeaRT6XRTKVRTaXRy5fQIF6noViBcVSDVUSzWanhRaPOdLFxhdcvdFGs6uF1qind2ZAo6WFxWiEy2ZS8x6Nz7kyx0kWR25UOAOQU+aXl5fUqhs8p3FwcAhul1tVwxGElwVfGzzmyLVWeyFWp+qw8XXE5y6Pj/OQQLVW4zCIyqXmjSNE7VZL7ce87OtMEF4UDQnFwXn87eGnImFENY5mbgtL6yksbpVQbnaUY9SowuG08T++aPYf03sDB/d3oNfUUagbkKy4EB4K48rsMC5OBeGyP/vq9/ycayurePfdd/D40WPVu/3zP//3uHXnNuk3Fx14OZPq+XDzpGpOauBswHffeQfz8/P4/ve/jzuvvqpcI4ezJEQlnCQ4+UYto7axqQoE7EYjKqOVy9Hx2KTb7VKFBdz0M68j6XA4YbPblJtkVykIp40jFkdyjdU0upl5VLbexV/901P85Tt7iJeaqJHyadn5aZUGfi5MXxJH7oGScHWqqBjDqHrfwJ1XbuBfvXEBP7w5hJDn2ZdrOsniWKQedyqRwPb2Nj799FM1v/HtH/1IiSPPOztYNUEQThIcUm3UGyhXyijk84jHE6rkXGRnB4lEXBUQCIZCuHTxEiYmJ1VdYJ/fr0KygnDaOIawahWoJ9EqR7EWqWA9RmpotMJqd1CP0qlKofEUBTv9bnfYVaiGe5kOpx1Odb8NdqsFZmcQFu84JkaHMDPix2jIDqv59Bce59dOp9OIkCDyBGuuPsKCyDVUOVNVMlSFk8rBWCTPd3TTOcvTP/i+VpM6vySanGCmOrudrqrVymLJQwccfuVQLF+DOtpfoiLCaeBonaNKxqkAjThapW2sbLSxFjVDb9LBYqXNwoWPNXz9fAF2jOofQX9QwtVGpQ7kq3oVrhkKejAQcMFifnZHxS9xEp0jJyktLC7i6ZMnWFlZht/rU/PKJiYmEKBeNzc4Io7CSYddJJ/LPP2IIyG81Fomk0Ustoc9cpM8P7JWq6sxS38goKrwjI+PY2hoSIVfOdwq57lwkjliceSnapJAFtFt5pHOGZErWmEix2exaKnhp16jlsSR9tKRkPJKHXVOzGm10e5o0dXqoOOsN4sBbbqvUqyoRVitVrNyVHr9s/c4T6I48lgjNxrzjx9jkQSSw6kXL17Ed7/3Pfh8PlVPlcdnpNEQTjqq2aCNxyKbdF5zaTnOvt7b21MRkXgsppJ2OFPdZDIrp+nzeeHxeuF0OFSlHS5Vx9e12WKmny1KSDV0XQrCSeCIw6r7jbpGRye5CVqDnU58Dp2aYbcZYeZVNnjisB7Qk4h2GhVUqNdZKVdRrjZRa3bVah16k4X2M8JkILdp5tXLDaqk1fOKxkkLq3JjwWM0PNaYSaWpYelicmoKFy9dUhmBLNi8CcJJ5+D64fOVw6QHUz9447Aru0MXbTyEwh0+XiuykC8gnU6pDmIum+vNmyTn2Wz25k0y3In9Il/su/f7elVdbO4AdDvqWuX3ojb1p/2fef4273Ow+5ciYcJp5oidI8NP19s6HXaJvRU11HndaaLbKKNeySGXTCCVyiCVr6BQbaPeJcdkIJdpc8Dh9qjUcafTAafNDJtJD7P++Vbm4HdwkpwjH+a11TUsLC5gZ2eHOgQV2K02vHL7Fu68euclXPiCcLSwi1RJO/vh1hKJXzaXVVV1Eomk6qxWqhXotLp9EbXB7uCNOtB2cpPUQeRhBRN1iA1GLvqx35nmedB0y86yP9ctq1wb3VYNrXoFxUKV3neLuvNadOk96bkToNNAhzbaJPrtLrVzejN0/J7pb3aLHkZZRefUcwzi+DV0W+jUcmjkosjtbWD+8QqWNxNIVroot7Xo6OgCIMdoMtthMDvhHRzByOwchgd8GHBb4LVo6YTbf65n4KSIIx9efhkOH9+7ew/3799HqVSkhsCOqclJXLx8SY3FCMJZg0WSk3G49BwLZI6Ekn/n4QUeNmkrMaWfSVB502q0Shg51GoloWTX6aDrxPZZ4p5DCSQ71d8VYfn21zUJY7tO7VUKlewuNldiiO6VUeyaALsLFp8HXqsW1m4DtUIBtZYWbZMHBqcPLo8H4aANbhJIfocSBzq99E0cu60qWvkdlHfuY/vJR/j//f1DfPAkibzBiY7ZCrOVepLkEI1aA2oNI1yjFzHz3R/hyoUJXB5xY9xjhN3w7Cf9SRLHg3mN77zzDu7evat6zRxOfe2111S6u6y8IZxF+Nzn7cBRMnwt8NgkDzHwMm270SiiOxFEIlEUigUSPq0ae+e5kzwO7/f51VglJ/XwtBAbuU2jqSeQfP0eXMOf/Uwbl7v74v0Ht5/t8zth19ikNqKCVmENue1H+OCfH+P+oyQSXSe6AyPwTo9jwqNDAGXkY3soVDWomgdhCowhNDqKq3MhjARssNBn1/Nr7j+zcLromzi26wWUowtIzL+LlQcf4e/X9FiuehAM0QXgtcNjN8BC4qfrdtT4RFvvhtY9ieHRYUxPBDE+5KbemgHPOpnjpIgjNwqZdAabmxt4cP8Btne24aeL/OKli7hzpzevURDOE9zkHDjKdCqFZDJJWwpFEkcuM8nXJyuKmvahJZdIgqnT6aHn0Op+eJULnnMugrpVoVf+3QgT31Lnk38+vHFo9pmmkXRb6KopaVvI7z3GO//1t/jko13EjUHopi9h4NYNXAuaMKYtopqLIskrDMUqyDctgCuMgRt3MD09hsseDTzms79Q+1mlb+LYrGSQXX2ArY9+haXH87jnexuNye/hzRkPLg5aEbKxa6SLolsnAcxjL5LGwnwOWpsL/rEwwpND8LmssNFzPcu5dhLEkQ8th5a4fuonH3+iVlXnbNzh0RHMzMzgwoULykUKwnmC50H2klw6vRArdSD5Z54LyaLJ00I4YSebSavknYMtl8ur/Vjg+LrhLFcOwaowrMWqIjBWWy8DVv1MG7vQg9/5lsc0WSQPssIP2oAv37J7bNAvKbRKa3j/P/0LPv3tDlL2URiv38HoD76LV0M2XDCW0W0nEF+bx8J7H2FhKYatqhPZy3+Myeuv4M8uWzHhJTHXiXs8jRzTqhz/LWqx4xKPOabpImihNHQbtomruDoewOSAE0EHn7w2dTKbrCboO23k40XojSbYPC44/U7YDHoYUKXn4nmQWrrA+JnpxNN+tWC+7GxVvpBrdMGvr63j07t31XsYHhnG2Njn871+19iJIJxF+Lrj8/4gy5U3Fi3e2OHxrcVqUdM9eJzR7XbD6/MhEAggFBpAKBhU0Re326PG7nl/7nTSha2iTpzsxuIaj8exs7ONzY0NbNA1uLq6ptak5PnFK8sr9PuKKoe3t7unihbwmCc70J67ZPdap5s8IvNbiO8UULN4YAyPwTszjXG3Dn6TAVpqn3TNGlCIU/uWRa5Uw0regQqsmBm10TVugkEl73x1GyWcXPonjp0GOpUCWsU0arUq0tYRdGw+DFg6sOva0HWaaDfr5LQqJH4lpBMZRLeSqLVJUtRJSKdWt0rnahrFSgf5lhEdOpm5qAAv1vFVOvcyxZGFkUtt8TjK+tqamvTPBQ3YMfKyVDyewg3BcQu0IJx0Dq6BLwomC97BmpJ8rXBZOu5QDtI2MDiohJIFk6eLsIhaaP+DtSVb7ZZayICnimTSaRWx4apUKnybSOxvHMpNqtAuu1V2klwLlsc09TzXTMOTM6pAO4edRySgkTwqJg/0QyPwTI5jxK6Fl9oegMS0XYO+lkCjnEMuX8XjiB7VrgVzl4PweGww60h0aVfpBp8u+iaOaNfRKmdQzewin97DRr6LRK6MbiGGQnIPqVgU0WgEkZ0tRHc2sLqygaWVCJK8oke5iHw+i0w8hvh2FPEykNO71RiE2aCFic7lr4rrv0xx5B4sX5x8IfK8Rr4QOfmGy8SFBgZUj1hcoyB8mcMCyeFQO10rLJI8Ps8ukjuZ/DtP9eJylA4Sx15JSttn4VMuPKDGGY0GNQap3Oh+WJXXquSsWE7s4fCsxWxRRQp40XWeVtIrlP65OG4/3kSMnGPFRG3OQBiuiXEM21gc1VuGtlOHrp5CvZRBKl3Cw5UWPdKKudsT8AUcsHEbRU3Ns5cwEU4CfU3IqewtI/n0A6zN38OvIias1ZzwO0xwWvRK5LjoONoNaNoFFAo1xJItwEAXiNNGF4AFFr0O+rYG1qmb8F7/Li6EPZjy6BEwQ7nHL8If6mWOOXJ2Kod11tfXlThmM1nMzs3i2vXrGCBx5AtVEITnh5ssHqvkjRN41M/N3vJ3/DuP89d5q9PGizPvJ/n0mrpDzR21ASzG7E55PVUO1XKij6r0hTQ69Q28/x9/jfsfbCNlH4Pp5msYe/v7eD2kx7RRPQNQS6Eb+xjbT+/jo7ub+N/+voui/yL+7//zz3H7+igmrAb4qH062F04HfQ5W3UR8fnfYOXTD/APy1U8yeioJ8eZZHoYdXT2dFkc60CjiGqzi0LTqhY/NtPfzXoN9F0StK4Brus/wOgP/gCvTPhxyW/AoJU09ASJI4dU2SlubWxgfv6JKsjMgsj1JUdHx1Tvt9c7FQTh6OEpJPs/fgXc5PHGiUAHYsoCyS6SK3NpOQylEnIyn4vj+ySOjq8RR3KN3fhdEscH+OSTDfy//7aJgu8C/uR/+VMSxzFM2XriKKl3p4tDknJ8aDR6GIwOOF1hDI5cxuyrb+KVH/8+3nj7R/jBWz/C22//Hn78k3+Fn/zBH+Nf//G/wc9+/m/wb//0D/Enf/QT/Ovffwtv/+A7+P4b1/Hd25O4NOqFnwTTQl5T1xdpfz5YHHmAP5VOK9dYr9XVEj68yj+Hf3oD/oIgHA+9IZOv2w5Ctxx25XFNHuLgWw7lKmE87C6/CdpdQ0KrabfUtV/XGdCiTj1XyeFUCUnGOZ30URx15JY47u+Byz+GoblXSCC/h1vffRNvfPd1vP7qTdy6dhFXL8xh+sJ1zF29g1de/Q7eePP7+P4PfogfvvUDvPXWd/DDN2m/iyOYdJnhpTPPRJ+gbx/iGeDeqJrknM8jz9UzajXVI+XlqDh0wz/zBSoIwsmAozgsll+VA8BXqrpaD374TGT5zn3aDdRLJZSLFZTrHbQcbhh8fjhNRjj2BfIktVHCs9G376zbbaPVrqPaKKJYzCAdyyAbL6HF9QnbBZQTi4jc/Ud88lf/Gb/43/8C//FvPsAvF7JYzupR1btJUAcxODqJgcnLGB8bxvSACQNOLWxGdb6eGFgYea3G+F5MJeWMjo2qcCqPMR73OKcgCEeFUkL6x9dsb+OpHuoaVoUJenuxbWw1ckjG4ojspJHItdR0j+DcLAYcNni54g/tJbGi00cfxZF6VOSqqs0Wyo02/a4j10e9qk4R7XIcufgOtja2sbqxi710DulCGelsWRX8hUYPi80BpzcAp38IXq8HAaceTgs9/msyVV8WnBYe29tTqw906POOjIyqqRsybUMQTgscVuVyd3W0qmXUaxVUaStXSigV8ihmM8hnq6hSJ79c2MHe7i62YiXslQyomfwIz4xh7kIYQYcFdp1GTeOQK//00T9x5B5WR4Nam04gjRWugA+DITscLRKRTASpRA7RkgV5yzjGr17FlUtjGDR14OpUVIFfo556a3oTjGYLzCYjLEYtjNQdU1ONTgA8wM/r2vHq56lUCsVCUfUyw+EhFVLl8QxBEE4DvbVmUSuhlkujXCRBLBWRy2WQSewhsbOO6NYaNjdWsTL/GMvL21jP6pAxDsMUvoRrl0dxe5Y68HbDiRv2EZ6dvn5v7a4WzY6B+mQmOD02eN1aaPN7KLLTyjaRNYahH38Ft757B2/cmMCorQM3iaOpVVM1V3vsD6qrn04OnE5eyOXVlA2e38hjjzyniit5eMjpShKOIJwGyDWqbFZejqqFZrWJrk4Pnc0Cg4k66NQWtXPU+U0nkEwmsBchsUyXUdR6oA3OIDB9GddnBnBt2AKXRSeFx08xfXSOvLYjbd3eqWLU16Ft55DZ3UM8SrdVE7r+SQQu3cCNGzO4NumDz0AC06pC26xTT+5AHE8mXBcyFosp18hzrswmU2+iMm1cNFlCqoJwSuBLVaMl/2iERu+Ce3AMw3OzmJgaw/igFwNmPawcstLyou5GGC0euAfGMThJ+0xPYXbYjVG7Bhb9ocQd4VTRt3mOrXoJhd1txJaeYG9rBaWQG+lGEzvvPkQ2r0M7eAHuW9/B3M1Z/HSSnNduFO/8chtGsxOjM2OYvDAOh8u+/2zfDH+ofs5z5An/H7z/vqrGw9lvwWAQo2NjmJ2dUfViBUE4LfSco6rq1aiglK+iTA6y1dUBBiN0XFmH512TfLabDbR5UXedCVqDmdwlL3ask8WOzwB9c46c6aVWyXbb4PJYoK3kUU1mUGw70HaMwBMew/SYD9N+QJdPoJhIodzSoKY1oak10Ol6MiP3BxOKORGH5zTy6gGcmcriyBuXuBME4TTBjk9PrtEGgzUAz+AohienMD41jvHRIYyE/Aj6fPD6AggMhDHANV9DPoS8NnjV6kIijGeBvimORm+A2eWGj9xUeO4i/FYf/AYvJq7dwZU3v4NXbl/A1UEzws0U8hs8FSKPjsUBHT1Gb7PT40/emB2LIo8tcgWcUrGkVgJoNhqqPqPP71NjjVIJRxAE4fRxTOLIg9q9WoY8VEg3KoavM5lhcnhgDwzBExjGIPXIOEY/NTWKsbAXQYdRpT5DZ4bGaIfFboXFxgWE9eQ8T15vTCUGUS+R3xsvscNTNsbGxzEwOACX260ScmSsURAE4fRx9OLIWaWdBrqtChq1Gsq1NupNdlgskpyUQw5QayKR9MHhD8HvtcNj18GsbaFTr6Nab6NNwqixOWAw6ED/wGVXT1bKVy+U2tvo42h1qqL/tRs3VGHxcHhYlaMSBEEQTidHLI6kFJ0mUM+jU9hBOhXHdqKIZKGBUq2JRrWMWjaB3O4W9uIJRJNpxGMRxLbXsLW6jKXFJSwsrWM1EsN2Moe9bBnZElfV4ZqFbD9fNuyIq2g1CigWckinC0hna2i2NXC4XJgiF8w1VA/KxAmCIAink6PNVmXX2CyhW4yimdnA06wTm40RDIY8GHR24GrHUY0uILq6gIfxDnbKOjWJn8evtezGWHzQod8bKLdtyHbDmBwfxyuXRnBtJgSPw9x7nWeAn+nos1Xp87XiKJMw7sVbyBQN6GjtGJvyIeixSIkoQRCEM8KRO8duq45uOYVWagWxnW0sbmURzdSQL1XJUCZR2plH9MGv8PF7v8I//uod/Oqdd/Ev7/4Gv3nvPbz33vt4/zd0S/e9//F93FuJYzVeQbrMpef2X+JlwundjRgq6RVsLD/FwwfLuPcoQp+vihr9mVeAOwn+VhAEQfh26P4Dsf/zkaBRY45NNRZX0QehsQcwGHAiYNfBTo5QUy2j1eyi7BmHOTxDznCMtlFMjI1gdGQYI8NhDA8PITQ0Bn9oBDOjIUwPk/P029S6js9DNpPB1taWmnvIonX9+jUMhYfUWCG7xud2jp0WuslHiK/OkzDuYH41j52CFu7JIbiHnDDRi0gdRUEQhNPP0RcBUOJIItJuotHRotHVq+kM+m4T2koRzUwC5UIeu3Y/KjYPvHoN7ORfTUpR+K2wcHVRqdSRzVXV2J3L5YDbZd9fofvZ4Gc6urAqP5sG3WYJ1cf/FU8//i3+8cMU7iUcyHsv4Xt//jN87wdzuKwD/KTfLJCCIAjC6eXos1U19JQ6IzRGG0xmCxwWAyyGNgztIurlBNKpXWxtb2Lj6SOs3v8Ejz+9jwePlsmFxbCZbCDXtsLsCSBEDm8kTLd+F5w2M/QqZfVlwMJIgo8GCWweiaIWyYIR3VYTTk0Wzm4Mu3tZLG52UCxzweKj7WsIgiAI/ef4FafTQKuYQD6+id3NJSyvzOPBk4d4+NH7uP/OL/HBr39N7u49vPvbe/jw/iIeLUewHi8hUyORMVronwUGXu6JnN5Lo9ui/2XRriWQrFuQQRAWpxNhLxC25pHbTWJtOYNcsY5Gu6ukVBAEQTi9HK/ikFtsFbYRX3+MBXKJdz++i48eLeHB+i42dmKIRXexF9lGZGMJawsP8OTTD3H3o0/wLx+u4O5yGslqG3WNDh2ujvOyJtNz1LndBEpxtLNRFFsW1O0jcIdHMDLiwai7i0aM3OPSDjLFCkqdDnnMnt8UBEEQTifHJ46c2VlJoZpYxs7iIzx5+Bifzq9jYTuDvaoGda2JHKEJZqMW+k6VdHQP+egiNp8+wIcfzuOTh9vYTleQbXRQ52HM/aftO90OOs0GupkEqntRlJs6tJ0DsA8NIzgURNCphya5i9z6GpI5crz0fknT1VKpgiAIwunkGMSRPRNXjmmikdtDbusJNleWsLi2i7V4DdmOHUbfMELjM5icncPMzBSmx0IY8Rnh1hbRzmxhc/4xnj4mN7mbxV6+gQJZsfZLsmK9dd1qKMeTyG1HUa030bXRZwiEYAsEYLOYYMpG0NhZQixTQKzURrHZBf0TBEEQTilHPpWjJ45tVT4uuXAP6/fuYTVvQs4xDcfsHVy9cwdvvXYNNy7N4gIL4xTXVp3E9PQEJscGEfaY4Mqtw9ytoeaZAExOWDljlRym6Tln2X/7qRwk8p06GuUcYk8eY/PJKiJNI0rkY9udEqqlHHKJNLYX1lGtNmCcvgqLNwCP2QCnUaNWARcEQRBOH0fcfLMEcQCUFycuIpPIIrJTRd08Av/l7+HmT/4Yv/+Hf4A//OEbePPVW7jzyiu4desObr/+A7zx1k/x4z/8KX76k1fxs2taXHclUc0VkEhWkCX32Gz124rx6zXQbZfRqBcRz7WxldSiXilD1y6g1Wmj2jXQJzUiYC7Ar9tDPE5ivFtGptAEGUxBEAThlHL03oYzO7tl2jKomd2o+24gODyHS+QKrwxaMfC16xWTLTQ4YA2OYOx7b2Dq9lUMmABXowxzvQotiVF/IXFsl6Cpp9ClrWgeRGnoLQzNvo5Xrt7Gq9fv4NWbr+LV2zfwe98dw+1ZE9qZBBLbe8hmi6g0OcNVEARBOI0cQ+CPRKxbJQNZRNvsRNc7B29wDCMBL0bdBrh+V5EbjYn00Q/vxWsYmJlBwELiSM9lbteg5QSfPsJl8NrFDErJKDKxKFJtC4qBS3CG5zA6OoWp8WnMTE5hZmocVy4OYHJQj25yG+n1VUSjccSzJeTbXUnMEQRBOIUcQ1iVtm6Ttho0RjP0jhBsDi+cVhvsRh2MvR2/Ag3905M+krV0hWFxBWh/wKqrw6hp0BvtZ1i1hU6jSMIYQ3xjG5sLW9jNV1GwOtCx2WC0WmG22GCln3lhY6fPBZtFA21yHfn1RWyub2M1kkUkW0ej7+FgQRAE4dtyDM6xQ8LI7rHZm5qoM+xPFWygWa2i3qihSrdfvdVQq7VoXz0abXJiJFIa3jTsv/ooMt2Wco51ej/lfB2FPImlRkeCbYLRYqSPpINOq4FOb4TebIPJE4Ld60fQ2oYTZbRqFRTLNRSq9FmkYo4gCMKp4xjEkemQlLVJI2toV8mB5TPIpJNIxOOIx2jj26/cErQlEYtlkUwXUajUUW210CR17S1n1S/4tUjZdRZozR6YnAMIBlwYDRrgspEo0lHrvSMtuWM7tO5xuIYv4tLcGC5N+jHktcJu1qslrF5S6QJBEAThW3DEhcfZNZbIJu6gVV3GR+8XcO9uBwabGU4fbV5yWnrt76g/ylMsGtBpSkhkmliNGBAKDeLqxXFcuRCG22nZ3++b4Vd48cLjJOzkdDkztVZhR0s/Gx2AzQWXRQ+rUQsDOUctOcwOOcxOvYBKqYRUqo5al5yl3QmL3Qa7zQKnWQc9L1gpCIIgfCv2bUtfOD5xrCzgvb/fwG9+mUSVhEhrN8LoJOHg1Y2/9hV5GkiTHFcB6YoZ0dIwpqem8cbNKbx6dRg+d7/EURAEQXh5UAve6ZD5qKJRq6DCJqXWQr3ZRYdzUwwmGG0OWKxm2NmsaFpkaGpo1muoVesolppoa8mM2R0wW8ywmPQwGbTQ8/z2/Vf4Jo5BHIt0Q+JYnMev/+Ie/un/XMBupYkSOcaOxQhe9v/rY7n0VnisslNEEQFkzbdx8/o1/OSNOfzglWGEPCKOgiAIZxtuvblsZw313A5ysU2sr0UQ2cshke+Q2bJB5x5EYOYSRsbDmPYb4NGWSHr2aF/abyuOhZU8yqYAXDOXMTwawkjIhZDLBDvp0LOOJR7DmCM/pYFurLA6A/CHxzA0Oo6RsXGMjo72thFe2JgLdx9so71N/X0Mo2OTGBsdwfiQBwNeCxxWvYQmBUEQzhPU5Gu05BI1WujIMLWKu8hEVrD2ZJEMzxrWU2Wk2nrUujoymS1oGrRPOYViLoWdVA3xQgetbq8SGi/q9LwKcsTOkZ0fz3FMolOPYGm+gOWFBlo6+nAWHYwWUm3OUvnaV+z1GLRooFTTIl2xIhDwY4qUf2LEB7vV1NvtGeBnEucoCIJwGuG1cbmudQVVrtG9fR8bi0/x8NEOHq+1EMMgJn/+Z7j55m286tcijAT02RWkIptY3i7jgx0fTP4w7twaw/CgC36nCTajHkYyWc/a6h+DODZoK6DbyiAW1yCVMsNg0sNMwmjmuYCk4L/7FVm4OqhUGsjmGjCbLfB4HPC4HTDSh3tWRBwFQRBOK9yCd3vTAGt5NFLz2F1+jEd3F3D3YQKrOTssb//fcOG7r+JH4zqMatPQZreQicWxnQaW6hPwDAzhzkUPgm4zrCZdL4my9+TPxNEXHld6Q//TGKE1uGFx+OHzO2mzw+mww2azw27/XZuD9nHC5XTAbjHCZTerlS8MBgNZ7OcTs29feFwQBEH4Jg57rG/ftvLj90OiBiMMRrrlFZIqJdSLeTJPZSS1QTR0Fgw7qjC0i6gUKsgWgZrWDdvQBEZGAhjzm+AwP59jPOCIxxz55XlhYisJGQmjxUYip6Vbuvc5X4ljzTaHA1YSVKPZpJyeIAiCcPJot9toNptotprqZ47OHV1QkjTFMgRraBbD09O4csGHy0NNVDeXsfzBXWysPMX67h7W0k3sVhxoGvyYmXBjZpSMFTlGniDxIhyD4vA7oafV6JWg8SL+L5pLo9Xp1KZhYXzB5xAEQRCODxbDXC6Hvb09pFNpFIslJZRHG5kzwGAPwBMex+iFaUzPhjDU2ACW3sfivQU8Wkpju6RHw+GHa3BAzWzwkfYYvoV0iB0TBEEQXphWq4VYLIaVlRVsbmwiRiKZz+dRr9f39zgaNDoTTL4w3NNXMXzpEm56EhjNfoSlT5bx6XwOsaoZ5sEQBqdCsBvIVPFjeg99Ic64OJKt33f2fJCUC6X/dHwr442CIAjfGm5POYRaIse4urqKTz7+GO+88y/4zbvv4tN797C2topkMolarcaDk/uPegE0esDkgtE1CGcgjOlhE8bcZTSzSaTjaaTzVVQ6WnR4Ov0RKNsRZ6ueHLjy6drKmvqCHj16hHanjX/37/4dXrl1C52OZKsKgiAcBSx6y0vLePr0KVbJPabTaWpj23A6nRgYGEA4HMYQbYMDg3C5XbBYrdDre8NuWk0v7vlsbTFLVR2tSgq5yALW//E/4pMPHuIf1l0o+q5g+LU3cev7r+HO1XFcdwN2njb4LTiz4sg9lLU1Fsff4MH9+6hUK/iDn/4Ul8iOszjyOKaIoyAIwovBraeSq1od6+vrWFpcJHFkl5hQIVUriaDX50UoNIBgKIRgMACv10sC6YbD4YDT4YTD6YDZbP5MLH8nvFpSvYB6YQ/ZXXq9Rw/w5DGJ8mICaV0QuolXEL7+Gq7euIi351wIW8hF0sNe1ESeaXHc3NzEb3/7WxLHB8hls7h1+5aqwsMfmYVRxFEQBOHbUa83sLO9jQ0SyG26ZefIbtKgN8Bqs5IAOpWLdLlc8Pl8CJBIDpBgDg4NYWiI3aQbJpPpG4e7uo0SGoU4yqkIkvEYFtNdtbB8fe0TJPMtJAxj6Axdw+jla/jp96cwG7LCTOpmpKd8kZb+7IojsRuN4sED6l3MP0E8FkOILL7b7aS/7B8qEUdBEIRvBWem7kZ3VXubSqZQKJK7I+fI0tJzg7z2rQ4mo5GcpE+FWScnJzEzM4OZ2RkEAgFYLBboeS77V7bJJFHdOlrFDIqJHaR3I4ilS9i0XEGj3UA49ndIkCjPR3XY6ozCMn4VP/nZd3B9ZgBhQ0fVU32R6RxnWhwLhQKikQh2dqinkUig3W6p+9UXIMIoCILwrWFx5HV6oySOnKmayWRQqVRUFivLC0/14DaXBTAYDGJ8YgJzc3O4cPECieMsfF4vDCScv9M5NmOop/cQ3UliM1pGsmyC48J1ElY9BgofYu/pQ9y7u4FHmx1kbFMI//6f4c6NGfxwRIegTafW1n1ezrQ48tgi2/tSqYR8Pock9Wqq9KV9Y2xbEARBeCZYHHmOIw9jra+tqWkdxUJRCeOB4HHY1O12Y3BwEGPj48oxTk5NYWxsTFVGY77cLrMs9RaU79RL6GaeIhmLYiXawErahbIhjDe/N4nLoyYYuzvYe/ghHv7yHXzy8TqeFDzYu/rvcPPVm/jvX3NjMmCBXRUDeL4qOWdaHPmjsUA26Murk0iWy+VjmJwqCIJw/jhoRWv1OjY3NrCwsIBHDx8iEomgWq7ASqLHIVPOWA2FggiQa/T7uZwobeQW3R6PGofk0qAcyfu8VealD3kh+QpqmT2kd9aw/vgxNnfziLS8qPgvwT11Db9/axDXAuwJk8g8/QhP3/knfPybu/hwrYqPNLcQunwHf/yTm7h5cQTTQ24EXWY4eE3H3ot8I2daHBkWxwORPPhZEARBeHG+aDCq1SqWl5bw+PE8Fp4+QTyeQKfdVuOLvCThxOQEhoeHlVA6XU6YLRaVrKMnV6n7yizVNoljA+1GEeW9VeytPMXDT5axHm8gaxuGaeYmRq/fwJvTHsw66b108ihsPsbWp+/h0Sef4pOFBN6Le2EYvYZX334TN6+Qw5wIYNRvg8es4wUVn8lBnnlxPEBEURAE4ejhoSue47iy3Jvj2Gw2YDaZ1LQNdos8zughl8jTN0z70zYOxPWro3gHzpEXO44hF9/F9nociWIHNbMPxqExBEZHMe0zI2jm3WuoZXeR3VlFdGubHGYOyxkTNJ4wRufmMDocQDjghM9hgk2coyAIgtAPGo2GEkYOp7KcGE1GJYQuJ89jdMJKTpFF0WgwqCpl3wxL0v56jvUy6uUSCvkKKg3ylAYL9HZ6Tn5+coEWfjperUPtl0e5WEShVEOuqkHXaIedRNlut8JuNcJifL5lq0QcBUEQhBeG8zg4UzWXzcFitagEGxZHzk5V44mnFBFHQThncA7gflBL/V8Qvg2cy1GtVNFoNpQYHmynfVaAiKMgnBu6ap29NjVmPNajCvF/KUtQEIQDTre0C4LwHLTQbtZRLVZRqzbQIqHsUN9YeseC8N8izlEQTgndbhudZhONcgH1Shl1rQkdLbm/ThPokPC1uqh29Ohq9bCbtaoqSKvRgVavgc6ogZ7uq5cbyEUrMNptcA56YLaYYNL1MvjEQQrC54g4CsIpodOuoVbIIbO+gMTWOjKWAOoGKwz1NNrVEkrlJqI1JxoGJy4Mm2DXdFHJtaC3mmD2WeEKO9AutZB+mIE16Efg8ig8HjscRj04I17CSILwOXI9CMIRwBl7PBmaNy66zPUkjxzqx3baTeUaS7kcKhUSy1oF9XwMxdg6YlsreLwSwcONLFIFeh+1OuqlEmqlMqr0c6UDNMhpaskp6nQaaNV4o6TmCMJXIeIoCEcACyIXus9ms8iRcBWLxc9WJjjYvj0kZRxGNVqhs7lhd3ngddrgNrZhbhfRLOeQyNWwV9IBRgecLhe8LhtcdjOsvCSQ3gSjmfYPuOGi+80GHQykitwIHLzHTufg/fYqSvW2zz8D39/dv0+NV/LWe3ME/fTZfoc39VdBODVIWFUQjgBe9SWVSqk6k5wBajFb1Bp2doddFV8+2Di9/cVS3Fm4WmiQM80mk8hn8rAEBmHRVaHd/g2ia4u4v17AX8ZnUfRcw//08yncCRuhzRfQRgc1owENl4PkVQ9LoQkTjzW6LDCQg9SR4JHVRYtumh3aQ9OBjh7Tpt87XVbP3pJDWrrtthrkXrv0nCTSWr0q/2U0kBOlj6Tlqib0txYJJztn1bR06Q888VtnUK+lp1+/uiqKIJwsRBwF4Qjg9UJ3dnbUigT5fB6tVpvcmVPVkzwosMxiyaujc/ms56fnwHjZtUqljkajBbvbA3Mri+7aP2NraR4freTxi9hFFLyv4H/5t3P43pQNxnoF7UYZpUYF+UYDhWILpUwXVi+5ykEnzJoaUC2iVigiVdEgXTfArS3D2q2gUCFHDCM0JPQunw1WM9BIxFEuNlCCGwaHB26fB6EguVErmdVGAdVyDRn6e6VUQaPeRFtjAGweGLwh+G16eEykkySyIo/CSUf3H4j9nwVBeEF4rDFF7nF5eVktsP3Jxx9jdXUVCbqP17YjaYPBYITRRI7NaNx/1PNAgsJzE8l18gRrs9kEA9kwTbOKdnoN2VQCkUwNT0t+1C0hfOeCG+GAlQybgR5J+5TiqOwuYv3RAn79603Ea21ofSa0q3R/fA3Rpce4t7CDdxZSKO48RnHjAR7eX8LjpW2s7aZQaJdQriWw+fFv8OTuPO4u5bGTaaNM4mf1mOE0N2Eu7iCX2MXqZgSbyyvYWFnH9k4MkRKQMgZgNhlBu8LAY52ijsIJR5yj8NLhEFyTXA0XMOat3myqca3TAIsVj8ulUylsbW5ifn4eiwuL2NraUiLGhZfD4SEMDg2ppXvYSXIRZl6dwG53qDJbZq47+U2LvX4d1QxaK/9EYvQEn6zm8V+Vc7yB/+efzeC7F30wc1SzlUYtu4lsZAH3PtrB3/5dCZ6bV/DKz25i1JaBKbeB9PIq3l/q4INdN25NGXDJX0MuuotMoY6C1g7t8BQcIT/CzSiaiRQ2tug7cg3AOz2NyZvTGHF04Nl6iDw5x+2WGZVsHNVsGsVSCyntMIrem3j79hjeuuKDw2pQyUCCcJIRcRReKnz6Nep1lcDCK4jzVqCfeRXx0wCLGX+GYqGgXCKva7e9ta0Wf+X7LRazKrrM4VSb1abCqz6/D0PDwxgeGcEobbzGHdejZJF87vHI3yWOF3ww6QA9cmiXd5BPLOPuO+v4y//PHpw3buCV/+4NTPtzsJc2kF1axj/fbeCXa1788EeX8b1rFhh2PkY2uoP1VAcrhstoD17CH96yIFiJYOVfPkSmrkE9MAzjxcuwowPXvffRMVtQG5+EqZsBijHkY1ksxmxYrUzhj358HX/641m4nfw5RRyFk81zXomCcPRw1mOTxJBDkyySOc74pE1lfp6SjTNVOXzaaDSVE2Y3ydM7KpWq+hyxvZhykxsknny7t7uLbDqNKj2mxU6ZjsHx9VM10HBCjZHXzqNf6/R6TU6Y4exXLXR6LfScKQMdWm0jDFYPXL4QQj47Ak49nCYN2l0jKl0XrJ4hcsMB+K1d2LVFdBsp5AtpRJNZrG+VEE+10NEaYXR44PAPwjc4jPBQCOMDdvgcBjXeKAinARFH4eTAoTba2I2pTd31hd9P8MaOT93u/86w2LFIdnnag5r+0Ktr2m737mMOHv9t+d3PQK9B769XS5XeJ2enfuH11XvX8aanFsEEo9FGLtcKp80Ep9UAi0kPncGErs5K7tYFOzlgu1EDs7YOTYenrOSRy5cQS9aRL5LIa80kjgE4AmMIjkxjZmYCNy+GEA7ZVGbrEXxcQTh2RByFl85BkgkvccMZnTwmxwulnqbN7XbDyeOHls8Xc+XPxWOJPK7IodOhoSGMcDiVtlAopD4nh1sNLzreeMBXPOwrn4mdIr0GCyVp5Of78H0anm5hJHdphoFcpokcnpHeE38vepMJBtrUuChP3+D/uJCAtkMNSBOddhWNehXlcgPVOukuCazeGoDNP0HiOIe5C9O4c3UQY4MOlUQkCKcBGXMUXip8+nEYkhdM/WKFmVOVkEOfgUOnkZ0dPH3yBIuLi9hY31BOkccYQwMDGBwcIEEcQDAYgI+EUgkqieOBQH6rhJzV3lSOT9YK+D/2LqDgvYn/159NfzbmqEMB3eYeiulV3P3nZfxf/+s67Ddewc1//ybmBgtw1raRX17F332iwT+shvFv/uQ2/vgNG1zRXyO5vYKHkRbeb95GMXgH/+OPg5hpLmH5r/4TttIJRIwOJEMzKCZaaP3VB3BOzCD8b3+G6dkRjHltCGoa0NcqaFSqsLpdsNHnVQvevmhHQBD6hIijIBwB8XhcTd14eP8+nsw/wfr6uhJOzlCdmZnBzOwsJqcmlXtkYWRHdhQC0a2k0Fj+J2wu9RJy/iLG4ngD/49/M0vi6IdFr4FBU0CnHkUhReL4yyX8n//rBonjTdz499/H3EAB7toWieOKEsd/XAvjT0kc/+h1O5wkjqmtFTxS4ngLpdAd/A8kjtMkjit//b+TOGawY3QjG5pDPV2G8W//BprwLIw//e8wfWECs0EbRvR16Ip5lLNFOEMBuKmTwIUDRByFk47McxSEI4BLxvF0jho5X7PFgpHRUVy/cQO379zGxcuXMDExgYHBQRV+ZZf47cWB+7RttPJRZDYeYoOE+claAp/u6ZHv2nFpyo+A1w6DlsQRJbQrcXJ361h9uI6PfhNBzeWFY2YINm2O3nwUua0tPF4p4lFUi+EJH4YCQCP2FMlIBOu7RSwV7MhrnLgyDFgq29h68BF2EgXs1a3Im8KwGnS4ZNpAu1PAUiSFyOoKttdWsROJYzvbRLLjhNnphstpgV455N6nEISTigwACMIRwKFhDov6/QFcuHAB3/nOd/DW22/hze9/H1evXVNiySHWF6uO81WQOHYa6LQaqLW1qHdN6OjMcJoAj7GlKvRUGh00udQbbZ0WPaKpUe/R6rHCbDOoxBx6OJpNLZcogMVkgMdBYqpvodZqotoxoK61AHoziZ8GTl2Ndi6j0W6ibTQDZhcM5BxttAUDAczdnsTIiAna1BpSiw+w+vgR5lc2sZKsIAE7KvRcqhydIJwCJKwqCEdAJp1R446NRh06rQ4WzvZUE/3t5JI+z0h97jHFr4Uu224TzWIS+cgyYrsxbCerWK940HKE8crVcUyEPXCb6b1oyujW0qhko9hcSeDh/Tx0g8MYuDaFoK0GayODRiqB1b0uVnIuzF4ewfSwGcbchprIn8y1EO2E6HkHcXvWBnc3g8TiE2RKHRR1brQ9I/DaNZjRrSJJ7+PBWgn5ug4dkwMWbwiu0AhCg6OYCNkRduth5MxY0UjhhCPiKAhHgKrss59I1Mu+5VJxvSSbY0MtflxFvZRDpVxBsdpCoWVC12CH3+eA026GiYt9a8g2tqpo1sso5ipIpRrQWO2w+lzkCFvQd+roVKvIVbokaka4vA647Dro6gW06jVU611UQK7PYEXAbYAJdB91BGrNLpoaej2THWajBh59AZV8DrFEAaWGBi1yilqrEzaHGx63C25yqzbaT+Y6CqcBEUdBOCK+eCmRV+T/9QF2kPzv4JbZd6pfeguf79d7m7yP+sM+B3//+vu/+vk+v58f12nV0W7U0GiTHnf16GqN1FHQw2LU8uIegnBqEHEUBOGI6U3D6XZ5LBMiisKpRMRREARBEA4h2aqCIAiCcAgRR0EQBEE4hIijIAiCIBxCxFEQBEEQDiHiKAiCIAiHEHEUBEEQhEOIOAqCIAjCIUQcBUEQBOEQIo6CIAiCcAgRR0EQBEE4hIijIAiCIBxCxFEQBEEQDiHiKAiCIAiHEHEUBEEQhEOIOAqCIAjCIUQcBUEQBOEQIo6CIAiCcAgRR0EQBEE4hIijIAiCIBxCxFEQBEEQDiHiKAiCIAiHEHEUBEEQhEOIOAqCIAjCIUQcBUEQBOEQIo6CIAiCcAgRR0EQBEE4hIijIAiCIBxCxFEQBEEQDiHiKAiCIAiHEHEUBEEQhEOIOAqCIAjCIUQcBUEQBOEQIo6CIAiCcAgRR0EQBEE4hIijIAiCIBxCxFEQBEEQDiHiKAiCIAiHEHEUBEEQhC8B/P8BmRgt+syth10AAAAASUVORK5CYII=)
A body of mass 6kg is hanging from another body af mass 10kg as shown in fig. This condition is being pulled up by a spring with an acceleration of
. the tension
is
,
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)
A body of mass 6kg is hanging from another body af mass 10kg as shown in fig. This condition is being pulled up by a spring with an acceleration of
. the tension
is
,
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AoqHmonDnB9YcAGMYFyDyWXLhdLkQFQO1PDqIrFAqqw1ua/WZAv2jOPNACcLHJQoKiXq+rkUY0S5z6xxSC/AGMHdjSh+PNNJmOpjUDh1okl8shmUxie3sbiUQChUIBuVwOmUxGHZv0xQg8JmNlB3i5XFbrbJtMJgVYl8ulvj+ZTKol+bgeN0cI0ARLn++iAaxlqQgAKBQKSKVS2NraQiwWw+bmJjKZDBqNhupLpLYol8tKOwBHA01kyxnXoWabfqFQQKlUgsvlUlqrVCrhzp07WFxcRKVSwZdffol8Pg+/36/Axc/J7zSZjsYL8Hi4ViMA5PN59V1cPHR/fx+lUgk2mw19fX24dOkSLl++jMHBQXg8HvWg6ZHzRZGWdv9wveo//vGPuHfvHp48eYJEImHwyTj/lGOU5LQbtuVz3hYAtYhBo3E4lJfL3RGAZrMZ+/v7iMfjMJvN+Oabb7C8vAy/36+WyyuVSigWiygWiyiVSiqw4FqMJpNJgcbpdMJisaBYLKoVZqnNMpkMCoUCTCYThoeH8d577+HDDz+E1+ttOrjuu/zBN01a3lqWyWTw3//931hYWEClUjGsbhGPx2GxWODxeBAKhVQStNFoKKC53W6kUins7+8r7WO1WpFKpQxTnrPZLFKplGHInDSjPp8P5XIZhUJBjQmwWq1KC5nNZtRqNQX2TCaj1ifyeDzw+/1oNBpIp9NqZkVvby/K5TIymQxWVlZgt9vR1dWFDz74QGk/6Y91aotnFBlVSSfb7XYjGo1iZmYG0WgUDocDqVQKZrMZTqdTTW2m453NZlEsFhEMBpUmcrvdCIVCcLvdyGazCjjUbNR64XAYkUjE4GRbrVZlCh0OB0qlEnK5HPL5PKxWK5xOp5oADUAtqWc2m+Hz+ZSfxSnUDADS6TSePXuGr776Sjn5zeqqHXCdg+jRn8lkgsfjweDgIGZmZvDpp59ieHgYHo8HpVJJ5X0qlQq8Xi98Ph/MZjNSqRRyuRzC4TDS6TQSiQTsdjs8Hg9cLhcqlYpaEH1vb0+ZNWoan8+nTBoA5cDTAefyeclkEjabDR6PRwGoVqupBeAtFosCnvQnCaR4PI65uTlsbGwYIlcZIV40c0hpyZQbai1Ze7NarQgEApiYmMDQ0JAqLMv8kEwwOp1OgwPv8/ng8/mUT1StVpXTz2nQAJRWYUTKG0wtJ3NYbrdb+WI0YybT4Wgnr9erzonRJI+TwOHC77VaDZFIBOl0WgUrMmqmP3jRcl0tnXIjqTC8sF6vF06nU23LG1YoFJDP59FoNOD1epXjzJCekeX+/j52d3dV7srn86G/vx8Oh8PwfbL+WCwW8fTpU2SzWVitVgwPD8Pn8xmG/AJQmks3YXJWhZ54lSuASODKh0w/nosiLTGLepaaF5wXWOasgMOocm1tTflgExMTyjzSt2k0Gtjf38fc3ByWlpbQaDTgcDgQiURgtVoRiUQUGGUWHjhMI9y7dw/Pnj2D3W7HP/zDPyiTKadF8/OcCM3jlWM1+T7PQY5r0lf4kElhAB1wnVVkDU0vAekX12KxIJfLYW1tDb/73e+wu7uLUCiEgYEBuN1uVCoVZWJyuRx+//vfY35+HgcHBwiHw8rhzufzmJ2dxdjYGDweDwBjFaBUKiEWi+HWrVuoVCqYmZlRgYHdbj/mgFN7MRVCk1kqlVSUySSw2WxWua9cLgcAKsXB90+a9vOmS0tWipWOryxQm81mw0LoAFRxe3d3F/Pz87h//z729/dRrVbVuta5XA6xWAz3799HPp/H+Pg4bty4gcnJSTgcDpVDkwumS81iMplUopUpBmbnARh8rmw2i2w2a6grMrFLs1mpVAzVBrnguyQt6sC6aH2ULfG55ARBRmj0mWSqAji8YVzf5+DgAHt7e9jf38fIyAh8Pp8yh0tLS1hbW8PU1BR+9KMfYWpqCpubmzCbzfjf//1f9Pb2IpvNGnwpWXwOBAJwu93IZDLKzDEipHYk4KjF8vm8StTSBwQOS0MAEI1GARwV62U5SV4H4Ogh67Aizii8OXLNao/Hg0gkAqfTqRKLfKLdbjd6enrg9Xqxv7+PZDKJQqGAYDCIcrmMlZUV3LlzB/V6HcPDw7hy5Qo8Hg8sFguSySR+9atfYX19HbFYDJFIRO1fRqM8llqtpvy57e1tfPvtt/D5fBgZGUFXV5eKPDc3N/Hw4UMsLi6qxCuPPxAIoKenB8FgEJVKBQcHB0gkEshms6hUKk2jQul7XhRpCbh4Afk0A4epBa/XazCbDP15MzweDxqNhsrEExDxeBxbW1uw2+0IBALweDyoVCqw2WwIhUJwuVzY39/H4uIiJiYm4PF4VL5KJynWajXkcjlsb2/j6dOn+PLLLzE6OopwOIy+vj6Uy2Xs7Ozg97//PWKxGIrFInw+H5aWlrC7u4t6vY533nkHH374IYrFIiqVCnK5nKpXMhXyvAHDF0ValoqgGSC4ZE2OF59lFP7NDH0oFILD4UCtVkOpVEIqlUIqlUJXVxfcbreq/TGSc7lcSKfTePr0KfL5vIpE9WVdCOinT59id3cX6+vr2N3dRX9/v2JAJJNJLCws4PPPP4fNZsPU1BQmJiZwcHCAe/fuYX9/H263Gz/4wQ8M60XqrWQ8f1lHfd7aj2+itMwssneQ4NLXXmQqgcJ0Q7FYNDjD1WoV6XQayWQSExMTcLvdqNfrimmaTqcVV549i/V63eAj1Wo1FAoFFItF7O/v43e/+x16enoQiUTwT//0T7hy5QouXboEk8mERCKBra0tHBwcYHp6Gu+//z7efvttA/CGh4cxNDSkNKjX61XRLSk5TKLKOfgXCVhAC5tiWadjrY4mTppBnZ5cqVQUtYWgdDgcCAaDCAQC2NnZQTKZVJ/jDZR1RYb/Mipj/dJkMiGVSuH27dtYWFhAsVjE9PQ0BgYG1PEGg0F0d3fDarWiUChgf38fGxsb2NraQi6XQ3d3N0ZGRtDf36+iWZ4nf05adFTPAb7p0jJWBAl0zJwTXLpTq2ezWQOkiXE6nejv78fg4CDm5+exu7urSj+UUqmk2BCsA9JUMVXAnBY1YTwex8HBgYE06HQ6EY1GMTQ0BK/Xi3g8jtu3b2NnZwfLy8vIZDKYnp7G+Pg4wuHwsSYNvewDHG/quEjaq6UrxVI7sUhcLBaP+SaSpel0OpXJIzuiVquhq6sLly9fxtzcHOLxOLa3t9Hb24tkMolYLIZCoYCZmRm8++678Pl8Ciy80TTTNpsNg4ODuHr1KnZ3d/HNN9/AZrPhH//xH/HJJ58ojccIdn5+Hqurq+ju7kZXVxdu3LiBn//855iZmVHHzHPmuegJ04tatAZeUfmHv2WZBDi6OdVqFclkEgcHByiVSkin04rLZbVaEQqF0NfXB4/Hg2w2i1gsBrPZjLm5OXz99deo1+vo7+/HpUuXAED5XNQgzKKTv/Xhhx9iZ2cH33zzDW7duoX+/n5MTk6iu7sb+Xxe5dt2dnYUu7VarcLn82FnZwfhcBhWqxXRaFRp22bL+F1kYAGvYHkWajFpLvQbUK1WkUqlkMlk1N/FYhHhcBgmkwk+nw/d3d3o7+9HsVjEw4cPkU6ncfv2bdy9exeBQAAjIyOKvAcc+mqyCYN8MY/Hg+npaUxNTcFqteJf//VfMTc3h7m5ObhcLmSzWezv72NnZ0dxvWq1GhKJBJaWlmCz2VQezuv1Gpgf3+VPXTSnviWUG5oW3lhm4ckrl9uQcerxeDAwMACTyaS47tyfy+VCb28vPvzwQ9y6dQv/9V//hVAohGQyiXq9jo8//hizs7Mq1UE6D6PITCaDfD6PQCCA0dFRVCoVDAwM4Mc//jEePXqEer2O+/fvY2pqSlGgrVYruru7EQ6HYbfbUSwWEY/H8dvf/hYrKyvIZDKYnJxUgYL8OamWeJGABbTQoScnXjZcSE65fMpdLhfeeecd9PX1wWq1YnR0VKUcgMM0RXd3N9577z34fD4MDw+rJKnb7cZ7772HgYEBVcphcMC/WQH48MMPYbFYMDo6ilAoBK/Xi88++wy5XE5l5/f29rC3t4dIJIKpqSlcuXJFLcm3t7eHP//5z7Db7cjlcipP53A4VJQou5YoFw1UlJaCSxZxdZMhKSx+vx/Xr19XgKBDz21sNhsCgYBiTLz//vvI5/NKq0UiEZXjcrlchk4hNkqMjo5idnYWwWBQgdbtduOTTz5RPYqBQADpdBrb29twuVwYHR3FjRs3MDExAbvdjq2tLaRSKWSzWUUmZCKXPp7MwOugumg+WMscehktVSoVxV/X/S0ChB1AgNE3ketlEwR+v1+ZWLkWo2SpstgMHGk+NnPkcjmVZA2FQupYqtUq8vk8EokElpeXkcvlUCwWce/ePSSTSayvr2NnZwczMzMYHx9XGlJGjQR2s7RDJxVxDiKdeDrE9K14gWWbPHCU/GS5hOUTncFJ7cBeQzItGLExr2Wz2dT3cXtJfwZgyJeRnjw8PIwf/vCHyldjiYhJ2qtXr+Ldd9/F22+/Db/fD+CohsoUCI9Fpx7x90UBWMsmC8oMPC8oSyF8TZ9jRZEMUUkb5o/UEDIpKxOnVqtV5dUAqD5EdvpIPhfFZrPh8uXLcLvdCIfDWFxcxPr6Okqlkipsv/vuu5iZmcHQ0BAsFotiQpBxobNQdYBdFGABLfS5pDZpNBoIBoOqQKwXrul4yyirGWVFDvzw+/3Kz2LZhV1E3A81VL1eh8vlMjjb1JQ6AFwuF4aGhtDV1YWf/OQnqlbJ/Xk8HkWRbjQaKJfLyOVyyOVyMJvNCAaD6rt47rpWfllmxMuUjF4n8LY0zwVAmQd2OusUlJNqbs1yQpLNKTtr9BKMpCnrjFd9JVqpVWhqnU6n6urmgyC/g/tvNBpwOp2q7CRZttyG2vW0VJuXrUW+TtqxZZpLaiCaj83NTcTjcQDHZ5rqXTUSdPKH4JCMBznKiCZXRqPclxwXQH9Qmmjmt2Q3D/cvfUX5UNRqNRWo8AGS6Rf+zXN6XW78q5BzB5ekNVutVrjdbvh8PiQSCdy6dQsOhwPd3d2qqYE3UtKE+cOojz+sF7pcLvj9fhXdcYoNuV0MIOr1uspBVatVVd9k1MlUBQDFi7dYLKrYTr9ORrk0v9SEiUQCT548wf379xGNRg1lIGpSaYovkrT0bB0OBwKBAPr7+/H48WPMz8+jUCioG2q32xUXSh+jxBvLNAZTGRaLBS6XC8FgEMChoy5b8p1OJ5LJJBKJBEwmkwIxfZ5KpYJisahMq+zKpr/GCgEBL9kcUuMBR5N8bDYbBgYGMDw8rDqKgKN8XzNe/Zsu5w4u6XQ7HA41H6JYLCIWiyEejyOfzxscYHYt67RgAEpz8If7TafTCgTValXNjEgmk3j8+DGWl5dht9vR3d2Nvr4+VQRvNBqKMyZrjnT+pT8ltakEl3TKLRYLgsEgurq6cO3aNVy9ehUul8vQfUSzq1Ou33QxNc6ZvSZ9Jtb3NjY2sLOzg1QqBY/Howay0SEm1YbCVILMhdFMsi2f2kh+JwH8m9/8Bn/4wx9gt9vxi1/8Ap999hkCgYDieuXzeWUeaRqbTQdkaoM+F49N+or0Ka1WK4LBIMLhsKJi8zoYLvhL+l2nuT2vi2ZsiVkkGGh2hoaGEI1G1YQZOW+L/gtwFOk06/fjTZYzIGSxuNE4HAngcrnw7bffwu/3IxQKYXJyEu+88w68Xu+xiYQsLckhbfL7eS56zkoW5WXUKQfH8dzIS3udorhXJS0DF8svTqdTlXf0kPy7zIPUEAQYb3yzMeSsD7rdbjgcDvT09KC3txfRaNQASDrs/AzBwshOZzXI2qhe6iG45OCVZusO1ev1C+VvAS3Kc1mtVtXepfO7ZOKUr8maIn/zJuo0Fvk90lEGoOausiZIqg+HzQFHyVi5b7nPlzlPCUqaSBax5Xnoua+LIi2dz8X/mVuSzFAABk0BPH+1CV0TyDCfYrPZDJ03ZJ82Y79KrUSRpapmooNDJmnl+zLp+rxzegLF93IAACAASURBVNOlZawImgEAKq8k8zx6HfBl9s99659jgEAHnf6O7ILWRYLuJDCc9FozwOgZff2BOovolB3JQNGP8Xn0HvmAtlJaNvxNmh6yNfXt6GC/rJx0cfk/s+zsVazVaqrex89xP820T7Pve9HjNJlMqgdTDwBOq714fHqRv16vq84nOehOlrJ0d4KWhPNfWwmwlrbzU046gdOcmHxC5bgminT+OTue2/Mmczv9tfOSZmA8i1mU58wHqFAoYG9vD3Nzc4hEIrh06RJCoZCBeSI/o++vGQ37vOWNq0cwaCAXXqfVtJvoACC4kskkFhcX8etf/xqTk5Nwu93wer0Ghgk/r9daZfqnlfJGpYqptVgyYqL0TRFZuI/H43jw4AH+/Oc/4969e9je3lYPUjOWiR7UMNqWAc15S9uBSz6FunqXHduSbvymCMGVzWaxurqKe/fuYWdnB+vr61hdXUUqlUKpVDpGWARwzPcC0AFXM5EOebNa4JuWV5IPSLVaxd7eHhYXF/Hw4UPle83Pz2NtbU2V1aTvCRzx17g/HXytkLbzuXSVL7UWtRVwNGX5TZjix3Nkzm5xcRF3797F0tISSqUSNjc3cevWLXR1dakhxAAMMzcA43TDZpHkeUtbaq7niczovynzsJhaIKGRWoqj1bPZLJ49e4a7d+/i2bNnyjTqmlty1AAcS0Kft7QduE4ydfJJlLSfNwVc7Eba3t7G/Pw8dnZ21PlxdObS0hJWV1exv79/Il9fugytnnTYluCSTrwsKLP8IysDrfQpXpU0GofjzhcWFvCHP/wBS0tLSCaTAIx12P39fTx58gSLi4soFouGorrkyb2qB67twAUY/Sw9cpS8eLlQZzsLM/H379/H//zP/+DZs2coFArqPUbJyWQST548waNHj5BOp9W5y2vUrHehVdKW4KLIIrkeATHfJQGmX8zn1d9eF6GflE6nMT8/j7/+9a/Y3d09RuthP8Ha2hoePXqkFhrVRTasvMhknrNI24GLoJFlHIKpVCphb29PzfciXz6fzxuecO5HMky5r1eRF5O5uu/6AQ77BJ48eYLNzU01olN2QbHkY7Vale+1sbFhWKyBSVNStnkNOuASIn0MOqyNxiEvfmtrC7du3cKTJ0+QyWTULPk7d+4gkUioYu5J/LBXIS97Mzm6aXFxETs7O2okFQHFh4X9AZlMBrFYDDdv3sTy8rKKKHneMkJsNXmx7fJcet2MXdPZbBZra2v4+uuvsbKyoppAHj16hNHRUbVYlc5Y0KOq181EcrFQzmT1+/0IBAIoFovIZDIolUqqySWfz6vS1927dzE8PIzR0VFEo1GVlpGr8bbauW87cJ00PyKfz2NzcxNra2vI5XKqA5pjMCV/SS76VCgUFB37dQMWAGxtbeHhw4fY2tqC3+/HjRs30N/fj3Q6jVgshtXVVVy/fh0//OEPkcvl1AokxWIROzs7iMfj8Pl8qtTDvk42p7Qyydx24JKaixfJbDZja2sL8/Pz2NvbQ7FYBHBogvb29rCwsIAHDx7AbrdjYGDA8OTK6FLnyb8OEolEMDs7q7hv1FyPHz/GzZs3kU6nMTk5iU8++UT5nclkEktLSxgZGVFMCcBokl9FSqLtwKV35dBxX1lZwYMHD5BKpRTztF6vqzUav/zyS/h8PrU6B6MmSVikiXydpLe3F6FQCDMzM3C5XGrdIs7lX1paUhOqua5SqVTCvXv3EAwGEY1G1ewzgksmmVspbQcuwLhIU7VaxfLyMh48eICFhQXld/DCVSoVxONx/O1vf8Pg4CDGx8cxODh4jH4s9/k6CSO7YDBoYKDyR041ZORosVhw9erVY6vtyhkXr+I82w5cMp9lMh32CD58+BALCwvY29szpCnYhVOpVPDs2TMVznd3d6v36IvRRL5u4GLlQR6bNOvsEyDjlkvicFU34Ihaow9pOe1Ipxc+9pbstcUiAZbNZvHw4UOsrq4in88DMK70KgeGrK2tYXV1Va2zSCZFs2bY10Wa1Uolu5StaxxPwCCGIvN5UmvJfbTs2Fu25xYJQWC321EoFLC5uYnHjx/j4OAAZvPhKhwMtznxj6MAYrEY7ty5ozLceimk1fym0win85RKJUMpizM0mFQlSNxuN/x+v6opyp5KOfxO/t8qaTuzKMcTJRIJPH36FOl0GjabDf39/ejp6UEqlcL+/r5a49HhcKjR3svLy9jY2EB3dzccDodqe3tdeV8ECf1IuQoaX5fOOoFTKpUM2hswzmUFWr+ge1uCi/O/OG+L8768Xi9GR0exvLyMxcVFRCIRjI2Nobe3F4lEApubmzCZTKojW3aAS1Nx0iRAvRYpA4DvSkqe1okmMPRJ2HJ+RrP6arlcVpl8XSvL/TQDmD7K87TStuBqNBro6+vDT37yE8zOzgKAmljzq1/9CgcHB5iYmMDPfvYzfPDBB6jX61hbW0M8Hsfly5cRCAQMY8gBqCe+Wq0apujwe6WfA0CZVrPZjGKxqCg/zY5Zfu5lbhpp2x6PRznkXOg9mUwqX4vnQBDpc1tpBvkwAVCTFOW6lwSmnHp9Wmk7cEnn1ul0oru7G5FIxDBCPBAIwOVyIRqNoq+vD4ODgwCAQCCAbDYLj8cDl8sFk+lwKAlND7UDx5vLVW6bRWrSh2FTarPSiq7pXgZcMtDg59htLmncUqvqhWqCKZfL4enTpzg4OEAul0M+n1djn6rVKsLhsKJKn4cv1pbg4gVlboc3QIbXHIYiZ6f6/X4Eg0HlrzQaDWVek8mkGihnt9uPMQ/k/oGjjnF9eJw0qzq4TpOklRQZ7otTFD0ej5orJkHN7eiTmc1mZLNZbG9v4969e9jc3EQikUCpVILP54PP50OhUMDs7Czeffdd9PX1qZot93UaE9l24JIiHVZqLfpR9Xrd4KjL9RcBqItXLpextLSkOFBynjy3l4uiFwoFZXYGBgZw+fJlXLp0CV1dXQaA6c4zj/dlbxK3l0N8mfviaCoJWOa5WDc0m81YXV3F7du3MTc3B7P5cJrjpUuX0Gg0FEcslUqhXC6rc+F51+t1w4q/LyNtBy7d7wGMQ0QILrnwgDQVJNYRjLFYTK27KM1MoVDAwcEBEokEisUienp60NfXB5vNpjhii4uL2NvbUzU/3gCpbei/yMG7Zz1/+bekffM8SYsul8vY3t7G559/rpZd/n//7/9hfHxcrZe0ubmp6rGNRgNut9tQvTgL56stwaVP+Wu2DaczSz+K4KNpKxaLePbsGRYXF7G6uoqpqSkEg0HYbDZFurt37x5KpRLef/99zM7OIhqNIpPJYGNjA4uLi3A6nRgcHMRbb70Fr9druNmSnHjWThuaPp4fHyCdvkzfr1wuY2dnB/fv38cXX3yBWq2mzN74+DjcbjfK5bJaTtnv9yMajSISiRhWX9Mf5JeRtgSXnqeRfgYvLk0Yoz85bolJ1nK5jFQqBZ/Ph+vXr+Pjjz9Wy/Ht7OzA4XCodX8++OAD/Mu//AtCoRBqtRq2trbwxRdfGKjUuq/FYzqLtuL56pNtuGqHPvuM18XlcmFzcxN/+9vfEIvF8NFHH+Gf//mfMT4+DqvVinQ6rVI5LpcLly9fxtjYGEKhkGFCUbPo90WlrcGl55j4mvRT9AWeuA0B4fV6MT09DY/Hg9nZWfXk2u12RCIRxfPyer0IhUJquT6v14tsNquGCPMm6E6wHkUCL0fpaRZ96oNWZFWBPpfFYsHe3h5isRjC4TAmJycxMTGhAhyLxYJ8Pq9GAPT09CAcDqu0ipznelppO3A9zxQ227ZZvZD+kNlsRnd3N0ZGRhCJRFTui7Or5MwrmjjOevV6vZiZmUE2m0Wj0YDL5VLbUdPQ8ebxnSZabJbU5WvN1tbmYvXksiUSCaWV/H4/yuWySmMcHBzg4OAAxWIRkUgEPp9PNd5ygN5ZpC3BJW+49AkY/ZEr73K5jqURGo2jCc5+v9+QUiiVSgZ2JhOP9NlkdGa1WhGJRNRiCzKaOskMnsahl+fL/5ms5XfKoSssaS0tLeHZs2coFouYmJhAd3e3ivzIwJ2bm8POzg6cTid6enrg8/nU/qVpPK20JbhkZKibSIbPFotF1RXlBWLuh2qfaybqF1Vfz5EAk8vJ8H89/0XRSz6ncYyblZrI06LJ1pkPtVoNa2trSKVS8Pv9mJ2dRX9/v3rI1tfXce/ePXzxxRdYX1+H3+9HOBxW2pfX4azs3LZjRUjRs+bydUme42syiqPGk0lIma2XTAI5lklGnRSCS44rksfVzG96mXPk93H/cikanewIHD4Y8XhcLYUTiUTgcDiQzWYRi8Vw+/ZtfPHFF/jLX/6Czc1Nw3XigymtwWml7TQXUwnSDMnUhNvtVvNPc7mcgdtEMOkaRa5ERvPCRREImkKhgEwmoxx6GZ0RzKTHOJ1OwzFzH7KM9KKiA1NqL2ou1gdlmsZutyObzWJ5eRlfffUVUqkUTCYTPv/8c8RiMWxvbyORSKBWq2F3dxdPnjzBwMAAAoGAuk5nnRLUduACTl7yRHfqm2m0kz6v70s65rzQckEEajaZN+ONlttI7XqW89UjY2pmh8OhFs/id1utVvT29sLtdmNvbw+//vWvcfv2bbhcLuzu7sLpdCISicDtdquKA1M29CfPo9Wu7cDVLK0gzZ1coOo0zFJ+hiE+wcXoUX4P/TFZz5SDPwjAs+S69FqhzMqzBMTARfYmDg0NYWhoCHa7Hffu3cP8/DwikQimp6cxMTEBt9uNra0tJJNJdHd3w+fzqSUKT6Nhm0lbgksv5lKYmWcO6yxMSz1YkGMEyDbgbH1pIuv1uupylnXPs5R+dD4W98sol7wtHqfZbEZ/fz9+9KMfIZVKYWVlBXa7HUNDQ3j//fdx+fJlWK1WVCoVZLNZdHV14erVq6q3QA+ALlThWp6oXmvTl7A7jY8DHBWIuRIHtYM0fQAMzr5cvQOAwUQ2O/bTHJfu58kHTWeEXLlyBQ6HA/F4HFarFaFQCKOjo4hEIoYo0+v1or+/H4FAQJ2TfIhPK20JLkozzSVv9mnMIrWErK95PB54vV5FIOSNSafTyGQyquGDK6XpzjC1zllWipU3W3+4ZKsZHwgAGB4eRl9fn9qW2o5pBjrvsqgvzfyFBRcdZvpF/J/Rnh4RvqjQZ6N5qFarKjJjpFkqlZBIJHD//n0sLi5ic3MTdrsdg4ODmJiYwOzsLMLhsIHId5aQnlqKf/M42bghuWdy3IFcEkf6otJnk/uUhfbzYHC0LbiayXmYH2qGarWKXC6HVCqlwnqWReirrK+vq/JJMplEMpnEwcEB/H4/7Ha7YhxIcJxWpGbhsaXTaXVcsklDPnSylZ8BhtTw+rGdZzd2WyZRn5eQPGvLFD9bKBRUYTqRSCCVSiGXyxnSDhaLBT09PZicnERXVxcymYwadVQoFAwaVKcjn1aYNsjn88hms2pJZX1ZQT0I0FvLGKDI+iSPU9Jt9HTOy0jbay69vMJ81Fn8m1qthmQyiUKhAJPJZFjDMRwOq97Ijz/+WN2Mzc1N/OlPf8LKygo8Ho9hEXbeUJadXkaLSUde96+a3XiaQ9ZY2fLP9wgi+oTNUjvA8WlCp5G2BFezi8G/aQrOOtisUqmoZCNHQKZSKXR1dSlnt6enBwBUc4Pf74fH40EkEoHH4wFgrAme9pikppZ5N5fLpTj8MvEptZD0nSTDQjr+sjYqwXRW89iW4KI0y6zr6v+0wibbK1euYGtrC6FQSPk7vClOp1NRnsvlMpxOJ6LRKEKhkCoCS+1yFr9LahHmt5xOp1oJV18Sr5l7ICsH3E5qKsC4oOmFBNfzIkECQJ93+qLCyGtgYACffPIJpqenkc/n0dPTg4GBAUNdkbVIOvTRaFRpNmo+ru1NNuzL3iwCQnLxZTMs3QCZOjjJjMkIkfvm7xehDL2stCW4pJwEoLM8dazb9fT0IBAIoFKpKFPEG1er1ZBIJLC+vo7d3V24XC709/cjFAopGg8nLuu1z9MATFKB5BI0BBx9vO8675PeOy9ASWlrcH0X+/Q0AJN+EZcyll3eLFbncjk8fvwY9+/fx9bWFq5cuYJAIKCaNPgZ6QNKCvTLnqOusWTyk+csy0Ovg7QluJ739Ongelnh5+hb6f4bo8etrS388Y9/xNdff42NjQ08ePAAU1NTmJ6exuTkJIaGhtDV1XXM0X7ZyEtm92nWdIqQHN95lg6j85a2BNdJch6OqKzTyRvL16mVGD3W64dDbPP5PPb391VkSVOms1RPU+uU5pQ/Ho8H0WhUcbDOI4g5b3ljwNXsBpx1f7qZkWbN6XSiq6sLb731lgoeIpGIavTgIBAZWJyGysJzkYV4dk2Pjo6iWq1iYGCg5SuQnUbaElzPixal83zabmGz+XCInAzZJUfM6XRieHgYv/jFLxT1xmazwe12KyYsE5dnzRnx88ViUSVIbTYburq6cO3aNVy6dAnRaPS1AxbQpuCiyAhMf03OjHgZkQ0Jeo6K+yZTYmRkRL0n/TP2SnI/FA4FeRmHWxaqZbBB5ilZGMD5zdU6L2k7cDWrd+maTILrNKuWcX+y2Msfmcl2u93qM/L7ZVZevi5TCC8rsvpADSb3Iyk3HXCdQb7L1Em26GmoLjJrTRIgX6eTzq5nviaLvpL+LHnpcub9ywjb86VWkvXF11XaDlzNmi70G6YXeF9GpMaS2W6dkyWz3TIzLjUWQXUWUyUbRSS9Ws9tvS7aSkpLwaVnpKW5oZzlosgbKZ3vs1JF5P6plXiTyZOSdTuZpqDQjMpjkAyJ0wg1ZrPcW7Nj+L6l5eDSmaL0W9hgqlftn6eVpP+j+zSSosunWVJ6X/Si6+CUTrwsw/D7pJnS63qy0C21zMtEdrKQLKnX8n15vV4nOXdwETi8mHQyJd1DagRd5GvN3m8GQL7OG8CbQPBKEJwkzb5XB3az7SS4uJ08XymnpdzoGqpd5NzBJZtEdYdTp9pKYADPf/J0jSLDbnnxdZaA/LxuPvXv1Pclv1cXqaUksHhc8lxl8vMiybmDSxL1ZM5IzhUFjt/sk+qBuv/Em6SH4fLmcXUJDkZ7EdPxXRpBb0iVn9GPW5pS+fnXLVXQammJz8VUAG+E7sOclPxsJieZRob4es5IsgZ0At3zAgn9+PRj0J1zfkb+1k2kfq4XBVSUcwcXgSUHnenUkGYmRzcZJxVsZQ6L/pXMYrMThnkl6YBLAHG/8j2974/vNTNp8vh00MpWfgnKi6S1gBZpLp1rJEsoFOmfNLtxMruuU5d1Ci8jUPYTsrGimSlrJtK8yf+ft6KZ1HBSk8pM/uu4OOirlJZoLib9Go3D2Q2ZTAYAlJnijWdrk+4EsyWfsxlo4kiY4xhwWQ4h1TgWi2FtbU39/fjxY7jd7mPOP49VF77PEZVc0ImZdx6/9B95LuFwGN3d3XC73QaNJZ17+R1vurQMXI3GUWfy6uoq6vW6GvYqyyecuCxpLVzqjWO+CS673Y5yuYxCoaDyR4wMc7kcDg4OsLOzg4WFBWxvb2N+fh4mkwlbW1tNAwbdTErtVCgU1EBbAMrMNhs53mgcctynp6dx7do1DA4OGpY6bvZdF0HOHVzSgd7c3MSdO3fwxRdfIJFIKMBxRLVsR5dmjsDj6qcEEcHFhZLoc9lsNgU6dkMXCgUkk0nMzc29UE2P+yPI2ffXzDQ3mzhTr9fx8ccfq2G8oVDIkPRstxzVeci5g0tGVul0Gk+fPsWdO3eQSCSOtZbLmyTzU9wHt6dJ4qwGAGoVL77P7+ZUwUajgWKxaDC70vSSE8/EK+eMUiNRyzbLutMsc5IgNVwymTSsZHZSLu2iSEvARSmXy0gmk9ja2kKtVkNfXx+CwaAapCb54HI0t8l0xA0nzZjNEryRkUhEmVcAqqWdK5aZzWakUikVPcqqAFvPZPexw+FQq0pwqTh9thZ9yGKxqMzm3t4eNjc3sbW1ZRhYYrVajyWRLxKwgJcA14sWgeXTSlCYzWa8/fbb+OUvf4mpqSk4HA6VLgAOTY7X6wUA9Tq1kc7ALBaLKJfLCAaDhpQEtSBJdI1GA4VCQQGUTatOp1MBlyaPAPX5fCqY4FxT0mb4MMjlf4vFImKxGO7evYt///d/h8fjURqVGk/nz18k89gyzcWLSJMWjUYxPj6Ot956Sw2y1YfmcluTyaSiRUlZsdvtyg9yOp2GWVKyWC15VHS+5QKVvOnMa7ER1uPxKJMpTbiu+WTHjdPpRDweh9vtNsxN1a/DRQIVpSV5LunbNBqHaxq63W61iCYBQEe7Wq0im80qTUd/qVwuKy3HFcjYyq4nZOV35nI5FAqFY041wSgTunKuPGCciSobTqWJ5j55XjSFeh6P+7uIwAJaXP5hnog+Feemy3wPNZHX61WOONdnpu8Uj8exs7ODcrmMrq4udHd3N63nERRbW1vY2dnBW2+9BZ/PpzSWzL3JAWkERalUUmDL5XKG+ewyAJFpCLPZbJjVIIMFfu4iAgtoIZ9LzmzgU066cLOyj9VqVdsTgNlsFvfu3UM6nYbJZEIwGFQJWuA4i6FWqyGTyWB+fh5zc3Mol8uYmppCb28vCoWCYbSSdO75fbI9S07k0x8IGT1yBrw+B6JZHfWk2uWbKi0Dl6wx8gbQx5JRlDRZdKZdLhcKhQKePXuG3//+97Db7bh8+TL6+vrgdruVmaIfRGGOa3l5GV9//TXcbjcikQj6+vpUzkxShE0mE0qlUtM6JH06+n3Mc8n0BYHerCFVAksWtC9SfbFl4JJhPE0iG0V1hgFNodl82LJlMpnUyg97e3uYnZ3F9PQ0BgYG1JCPZuaGN50pEJrlSqWizC5FpwDpwLDZbCqfxZXKrFYrSqWSobgtB/zqbAi9/niRgAW0EFzy4jKNILUGt9E7ZCqVCp4+fYqvv/4ajx49wqVLlzA9PY3+/n7DUr+A0Q8ikJ1OJ1wuFzweD0KhkJryZ7FY1HRArs7VaByuYJbP57G7u4tCoQCLxQKn0wm/33/MjMqCvMzHyUoD82c6+KV5vCjSModeXljeFHljKHzyXS4XGo0Gkskkbt68ib///e/Y2trCRx99hJ6eHgUk6bfoBWSCxeVywev1IhgMwuv1wmw24+DgAOvr68hkMrh69ar6vnw+j1gshmfPniGfz8NsNsPtdqOnpwddXV0Ih8Nq3WcAhrWDqIFZqpIzRnXK0EUDFtAiDr0c3gEc503x5sj/ASCbzeLZs2f46quv8OjRI5TLZSwsLCCZTCIYDOLGjRvo7e09ZuL4vcyul0oltVQvlxr+zW9+gwcPHqBer6th/6VSCV9++SXu3LmD9fV1RCIRtXoqAFy/fh0ffPABJicn4fF41APC0g+nB1KkGZS8/YsaMba0+0fnYQFG9qZkjJKaE4/HsbW1hXq9Dr/fj3g8rig7T548wbVr13Dt2jU17ENvwqBGYTE5kUiojHpPTw9CoRACgQAajQYODg7w7bffYnd3F5FIBO+99x7W1tbwzTffYHl5GeFwGNevX1fnw8hRalEu8inzXScNBbloAGtZElUWn5sBi5pL5pg49z2fz6O7uxtjY2MIBoOoVCqIx+O4deuWWvB8cnLymB9HUDGS29/fx+PHj+HxeBAIBDA1NYXR0VH09PSgUCggHo9jeXkZXq8XV65cwccff4z5+Xlsb2/j4cOHhtIT/SudHUszzMG3+hItr9v8hlcpLS1c82az2CvXPqTWogZgaYcm6dq1a/jlL3+J3t5elMtlLC8v49/+7d+wv7+P+fl5TExMGMaBS/Naq9Wwv7+P3/72t/D7/RgZGcGnn36K4eFh9Pb2wmazIZlMIp1OI5/PIxqNIhKJwGw2IxqN4vLly6rATk1FwHAUJasEFAYm+izWiwgqSkvAJR1tMjoZTekXXvKjCDi/34++vj6MjIwgGo0qP25sbAypVEoBkDeehWf6RKVSCfF4HOVyGT6fTxWhCcZ8Pg+r1YpoNIpoNIpsNov5+XkMDg5iY2MDm5ub6Onpwfj4OIaHhw1LGUtNKVmzuiN/Uf0sKS0DF8EiuU+SQ8VtKQSew+GAx+NRwzyAQ66X3+/H4OCgoZAsi9JMG7AEVCwWVe2yUChgb28P6XQawWBQ1Sx7enrQ19eHubk53Lx5E5FIBDs7O9jY2MClS5cwOzuL4eFhAFDHLqcM8vyaLY/SLDpsxu96k+WV5Llk44IOLLJOi8WiSjSm02nEYjGsrq4iEAgosEmHWYp+I51OJ/r7+zE7O4tMJoNEIoH/+7//g8fjwfDwMLxer0rcMre2sbGB//iP/0Bvby9GR0dx/fp1XL58GQBUEb3RaMDv9xtSKsxzUXtK4Olpl4umzVrCoad5s1qtahC/XK9Qbkun2GQyKT5UrVbD1tYWFhcX0d3dDY/Hg+3tbaysrMBqtWJ4eBg2m02BStJoUqkUKpUKfD4fpqam4HQ6sbu7izt37uCvf/0rzGYz3nnnHUQiEdTrdWSzWSQSCcTjcQOLY2RkBPF4XB2THKMk0y3klAHGrifd/F/EQnZL2vllU4U+ylFy7IGjko3NZkMwGEQkEkE4HEaxWMTjx48RCoXg9XoRj8exubmJmZkZFSlKELNOmM1mAQDBYBADAwMYHx9HoVBALBbDysoKCoWC8sMajQZSqZRaL9Hj8aBcLmNtbQ1+v18BZ3p6WrEr6Gdx0p/UUrJh5CSAXRRgAS3UXMDR4pGya0ZuQ0CQJUpt8+mnn2Jubg5bW1v4zW9+g1AohGAwiKmpKVy/fh2XLl1SvpUcH2CxWJRvxpRFKBTC4OAgPvvsMzx69AjZbFb5gaTfBINB9Pb24vLly6jXDxfpXFlZwe7uLmKxGNxuNy5duqTKRvI7+b1y3jxdgIuYlZfSsgYN4Mix1cN0XWsBhxrPZrMhHA7j/fffR39/P7a3t5FKpeByuRAOhxGNRjE0NKRMp/5dZrMZgUAAs7OziEQiGBsbdxX92wAACiNJREFUQyQSgcPhwI0bN9DT04NsNovR0VE0GofdSdRM77zzDgYHB2E2m5HJZLCysoJ8Pg+v16t4aDplRo5EalZE1/NbF0lrAS1qLSN4ZA8iUxE0ZcDhxSbVpVQqKYBNTExgbGxMNboyr8R56/K7ZDtavV6H2+3G5OQkRkdH1WoWjUYDIyMj6O/vV509sVgMe3t7KBaLGBsbw/T0NKLRKBwOB4rFIpxOJ3K5nNJ+NMPNtK80jzrLolkB+6JIy1IRJpPJ0HpVLpcNERQvuhzLWK/X1Y21WCxwu90qnaBn+fVZV4w4fT6fMsV6d7Tkkbndbvj9fqRSKXz++ed48OABBgYG1MPQ3d2NmZkZTExMqA5qfdk4aR7pn8lcnh41XiRgAS1mosocF3B8lJE0kUwJ6LkgvVbIz3ABAfLqGZnK5lqpaeSSu6VSCQ6HA6Ojo/jZz36GWCyGSqWiFkq32+0YHR3F1NSUMpVyErNMFPNHH0EgrwOPoVm98U2WllFuyDPXO5alvyIvtiTgcR/014Cjmyq1D3052TQrb7r8DqYOzObD1n+bzYaRkRH88pe/xMbGBvb392E2H05NDgQC6O3tRTQahc/nM4wVkKkGmTiVvZASdHpi9SJprxcG14teFJofyYaw2+2qQQKA4j7plBV9trrZbDYARmpAgoUajK8z/8Vj4HEzTwVANX6YTCbli8l9EKwEo8xx6T4XhZ9nzk43idIXvSgAa2kqQg4byeVyyGazCAaDyjwBxwemAcfNh6zZ8T1JN5b7kqUhKbJILv1CMhmkT0atJCPSZjQak+mwv5I8fPkA8X0Z0ZKyo3PR3lRpaYMGwZXNZlXbu8fjUTMZcrkcgCP/jE86nXG+Lut6fD2Xyxn4+VJbyBqjNE+S5y59M5kqoWlj2oTHQxBKM1utVrG+vq74ZzoAJYhPqje+ydKSVAQvMKO2crmM1dVV/P3vf0c8HofD4UClUlFM0VKphEwmo/wnr9erSiuZTEbNyHK5XIplARyt6MpRAI1GAy6XSw0jicfjyOfzKJVKhkYKXeNxnww+JMuB58EGE5pdRoexWAxLS0tYX19X/C+disNrIvn/F0Fa6tBLf+XZs2f44x//iIcPHypeVDqdBgBVrCa4fD6fAVzkULE8QzMkO5+pZdiST/DS1ElnWweXHChHcBBojExlpUGCK5fLIZfLwe12G4ag6PXEi+bMAy30ucgx7+rqQn9/Pw4ODrC9vY39/X3lG2UyGWXWcrmcAhf5VjR/1Fz5fF5pFqkhZeLSYrFgd3cX+/v78Pv9qklDmiTZycPPU7NJNqmMCKXZlj6ZzWZDT0+PWv9QJnp1RoSe4X/TpWXgstvtGB4exkcffYRwOIx8Pq/MGPnmvEF6fkg2qMpl7Vi/A4B0Oq1uNk1PtVrFxsYGvvzySywuLuKnP/0prl27hrGxMQPtR6f+SL+MKQ05CUdm3mX1gaBjrm1ychJdXV2GIrXk3MtpiBdBWpKhZwrA5/NhZGQEHo/HMNqb2gE4cqalw8ubrzvCMsrM5/PqBhJc5XIZT548wZMnT7C2toaxsTFcu3YNMzMzap8nZcpl5l9qRP1Hnie/m99PtgW31cs+elXhTZeWja0EDnM+XLEeOJ51B5rPbJdgkjdDT04SKDST5FWxRuj3+9HV1YW+vr6moNIpMfI1ua1eOtJzVzJF0iw7L7e/SNLS8g9Fz+voiUg6zbKUIss+0s/hKCXy4rkffg87fbxer/Kj5Dby72bgOilH1oz1ABwlhFl/5PbcvxzFdNGkpTRn6cBKUyFvoCxiU5o5xPxf5pJoTnnz6/W6mvRMjcZEKHCcDv08toLUkPoxy/KSyXTEpG3WECwfjmbU5zdZWs6hp+gUlWbb8LWTGkqZ0CRQCS4CrlarqbwWa5sE33eBRX5Ps2PWtZcsMcmokwxV7l/XvBclOw+8wpVidZ/jtI6tbEFzOBzHgEENxjmm+vA2HouuhZoFE/KYdS3X7MFoth6iNLedJGqL5LyiJAkuWZeUfpRkvRJoOlCeZyJf9Jibad3nfeYiRYoA0NbGX2cmyPohX9fZoTIilZpMaqyOnI+0XQgjRzHpoAGMkaMsNusRogwiZGL0IjncrZa2A9dJmoXaiEVnAIpHRiaFzq5otu+O5jo/aTtwASc3lrIhRNYBdR69LMvI/QEXj4bcamk7cElmA2D0o1jUlquekTbDbS9io8T3JW0HLsBYotGTr5IqLcl/eipErqAhUxgd03h+0pZ2oFk2nQlLOvEsJzWbsgwcJTxltClTGh05u7Sd5pLlIjIq5Fo9pMyQMUqNRT8MABwOhyHqBC4ma6HV0nbgklFhPp9XVGmuj0hKM3lihUIBiUQC6+vryGazsFgsGBoaUlOaJUtVdgh15OzSduACjpijqVRKrfNDGvL29jaSyaQa+LaysoJisYgHDx6gUCggGAyqAbkEpNR+HYf//KTtwCXZqsViEYuLi/jP//xPlMtl+P1+lMtlLC0tIR6P4y9/+Qvm5+dhNpvx7NkzjIyM4Kc//SkCgQDsdjvy+bwyoWSfAscpQh05nbQduCgmk0lNGuRQEU6jOTg4QKFQwNraGra2ttBoHC6TNzY2pobJcak92bx7EZsoWiltCS4CwOfzoaenBw6HQ00I5Po81WpVdRexXW1oaAgTExOqRYwsBVky6oDr/KTtUhGyyYKD3t566y01jTCfzyu6M4WDRWZnZzE1NWUY5gsc+XAdOV9pa81lsVgQDofx0UcfqRHihUJB9R+yn9Hr9WJ6ehrj4+OIRCIAYGCo6iS/jpyPtJ3mksS+RqMBt9uNH//4x3jvvfcwMDCgWvtJznM6nQiFQpidncXIyIih9V9vWu3I+UpbgovsBuan+vv7cfnyZYyOjqo5XsBhisHtdmNgYADT09Nq+WLJljCZTIa1tTsgOz9pS3DpfYxcsGB0dNSw1HG1WkVvby9u3LiBiYkJ+P1+1b2t05Y7+a3zl7YDF2D0uRjxhUIhjIyMqBwWzeKlS5fwwx/+EENDQ2qQiRyV1Kzu2JHzkbYDl05JJhEwEAhgfHwcly9fRigUgt1ux9DQEK5du4YbN27A7XYbtmentByr2QHY+UrbgYuid0D7/X4MDAxgcnIS3d3dcDqdmJiYwPj4OLq6ugBANd/K7h29+6cj5ydvBLg4+ZlrNEYiEbhcLoyNjaGvr08tOQwY27+kFuyA6/yl7fJcknUqfS5Oc/b7/fB4POpvrk+tT7ahyHmnHTlfaTtwAUdRot58arfbEY1GMTo6imKxiL6+Png8nuf6Uh1QtU7aFlwkA0pzZrPZ0NfXh9nZWXi9XoyNjcHv93+PR3qxpe3AJZ14vQ3f4XBgZGQEJpMJExMTuHTpkir3dOTVi6nRZp6s7P6Rg0L4U6vVkM1mUSwW4ff7FaW5I69e2g5cLP2wzCM7eDp9h6+XtB24OtI+0nnUO9Iy6YCrIy2T/w+zTw85bt6vtwAAAABJRU5ErkJggg==)
A granophyre record is revolving with an angular velocity
. A coin is placed at a distance r from the center of the record. The coefficient of static is. The coin will revolve if
A granophyre record is revolving with an angular velocity
. A coin is placed at a distance r from the center of the record. The coefficient of static is. The coin will revolve if
We need to remember different formulas for this type of questions.
We need to remember different formulas for this type of questions.