Maths-
General
Easy
Question
Period of
is
Hint:
In this question we have to find the fundamental period oof f(x). As we know, by fundamental property of f(x) periodic function with period T, f(x+T) will be equal to f(x). Now, we will look at the options and check which one will satisfies the statement.
The correct answer is: ![pi over 2](data:image/png;base64,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)
By fundamental property of f(x) periodic function with period T.
f (x+T) =f(x)
let f (x) =![cos to the power of 6 space x plus sin to the power of 6 space x](data:image/png;base64,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)
assuming from the options smallest period of f(x) to be
.
![rightwards double arrow f left parenthesis x plus straight pi over 2 right parenthesis equals f left parenthesis x right parenthesis
rightwards double arrow cos to the power of 6 open parentheses x plus straight pi over 2 close parentheses plus sin to the power of 6 open parentheses x plus straight pi over 2 close parentheses equals cos to the power of 6 x plus sin to the power of 6 x
t h e r e f o r e space straight pi over 2 space i s space t h e space f u n d a m e n t a l space p e r i o d space o f space f left parenthesis x right parenthesis.](data:image/png;base64,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)
Related Questions to study
physics-
Two inclined planes are located as shown in figure. A particle is projected from the foot of one frictionless plane along its line with a velocity just sufficient to carry it to top after which the particle slides down the other frictionless inclined plane. The total time it will take to reach the point
is
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)
Two inclined planes are located as shown in figure. A particle is projected from the foot of one frictionless plane along its line with a velocity just sufficient to carry it to top after which the particle slides down the other frictionless inclined plane. The total time it will take to reach the point
is
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)
physics-General
physics-
characteristic of a copper wire of length
and area of cross-section
is shown in figure. The slope of the curve becomes
![](data:image/png;base64,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)
characteristic of a copper wire of length
and area of cross-section
is shown in figure. The slope of the curve becomes
![](data:image/png;base64,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)
physics-General
physics-
Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of
and
are
![](data:image/png;base64,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)
Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of
and
are
![](data:image/png;base64,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)
physics-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWQAAADSCAYAAAB9/7r8AAAgAElEQVR4nO3d2VMc53o/8G+v0z0rA8yw7yAQSEIr2iIpXo4Un8SV5MapykVymb8qVblKKlW5SZwcq46Pj49t6ciWhIwASQgh9mWGGWZfe/1dqLp/IBYBGmAGnk+Vyi7Rgp6m5ztvv8vzMqZpmiCEEHLk2KM+AUIIIe9QIBNCSJmgQCaEkDJBgUwIIWWCApkQQsoEBTIhhJQJCmRCCCkTFMiEEFImKJAJIaRMUCATQkiZoEAmhJAyQYFMCCFlggKZEELKBAUyIYSUCQpkQggpExTIhBBSJiiQCSGkTFAgE0JImaBAJoSQMkGBTAghZYI/6hMggGmaUFUVuq5DEARwHAeGYY76tAgpiWw2i1QqBVEU4XQ64XA4wLKH0xYsqiZyRRPpvAFdN8FzDGSRgexgIYsMWBZQtHfH5IoGNB0wDIBh3v0ReQZVLhaSuPv3o67r9mt2uVxwOp1IJBJgGAa1tbU7vnYK5CNmmiZ0XUcul0OhUIDb7YYsy+A47qhPjZCSiMVieP36NaqqqtDc3IyamppDCWTTBNJ5A4tRDVPLKgqKCZfEoN7Po6mGR301B4FhkC8aWIhoWFrTkcm/C2WWBTiWgc/F4mybAEncXVSapglFUbCysoLJyUm0traisbERr169Asdx8Pl8cDgc2/57CuQyoeu63Uo2TfOoT4eQklEUBclkEoIgQFVVGIZxaD9b04Fc0UQsYyBXNFDUOLhlE4pmwjTfhbamA/miiWTWQCpnQNEAjgV47l0rWdV3//OsBlY+n0cikUAgEICmaUilUuB5/oPvbQrkMsAwDDiOo+4KciyJogiv1wuXywWe5w/1/uZZQBZZ+N3vuh1cEguXzEAUGLtbgmMBSWThdbJgWQaaboJlAI5j4HWy4Pndny/DMGBZFpIkwefzQZZl8DwPj8ezq/c2Y1Jz7MhZn6qGYYDjOLAsS6FMjo1isYhcLgee5+FwOCAIwqHd36pmoqiayCsmDPNd+Io8A4fAQOTfhbKmvzumqAK68a7lzDAAg3eh7JLeHbtbuq6jWCwin8/D4XDA4XAgm82CYRh4PJ4du2sokAkhpEzQtDdCCCkTFMiEEFImKJAJIaRMUCATQkiZoGlvZF9yuRxisRhUVYVpmvYIcnV19aGtwiLkuKFAJvsyOTmJP/7xj4jFYtA0DTzP4/z58/j8889RVVV11KdHSEWiaW9k10zTxMrKCoaHh/H27VtEo1GIogiO45DJZOByudDa2orBwUGcOnUKkiTRfGpC9oBayGRXDMNAIpHA6Ogo/vM//xOiKOLKlSvo7u6G0+nE8vIynj9/jq+//hr5fB5+vx/19fUQRfGoT52QikGBTHalWCziwYMHGBkZQXNzM06fPo0bN27YfcZdXV3wer3gOA6GYWBxcRF+v58CmZA9oEAmuxKPxzE6OoqlpSV8+umnGBoaQkdHx4ZjeJ4Hz/MoFAoAQEWSCNkjCmTyQfF4HAsLC8hms/D7/RgcHERLS8um4/x+P65evWrX5JAk6QjOlpDKRYFMPiiVSmFlZQWapsHv9yMQCIDnN986HMfB7XYfwRkScjxQIJMPymaziMViYFkWLpdrT8XzTdOEpmkoFoswDAOyLEMQhAM8W0IqFwUy+SBFUZDP5yEIwo6BnE6nEY1G4XQ64fP5IEkSUqkURkdHsbCwAAC4devWlt0dhBAKZLILDMOAYRgYhgFN07YcrFMUBQsLC3j58iU6OjrgcrkAAJFIBL/88gsmJyfhcrlw9uxZCmRCtkFrXMkHOZ1OeDweRKNRLCwsQFXVTceEQiE8efIE9+/fx+LiIiRJgqIoWF1dRSgUAsdxaGhooIE+QnZALWTyQX6/H83NzWBZFisrKxgdHUVvby9kWQYArK6uYmRkBPPz86iurobf70ehUMD4+DjGxsYAAA6HAwzDbBnmhJB3KJDJB9XW1qK3txctLS0YHx/H/fv3MTMzg66uLmQyGczOzuLZs2fo6OjAP/3TP6GzsxPRaBT/+7//i6WlJZw6dQrxeBzhcBixWAy5XA6yLNOyakLeQ4FMdqWmpga/+c1v0NjYiPn5eczNzWFtbQ2apoHjOFy+fBkDAwPo6uqCLMvQNA2CIMA0TUQiEaysrMAwDMRiMRQKBapzQcgWKJDJrjgcDgwNDaGzsxM//vgj3rx5g3g8DofDgc7OTnzyySdobm4G8G6TR1EU0d/fD47jsLq6ikwmA47jth0UJIRQtTeyR7quIxqNIp1OQ1EUsCwLt9uNuro6e36xaZooFotIpVKIRCJYXl7Gy5cvkU6n8cUXX+DcuXOHvh08IZWAApkcuEQigZmZGSSTSfT39yMYDB71KRFSliiQyYEzDAOqqsIwDLt+MiFkMwpksiemaUJRFGSzWbvusdPp3HBMIpFAPp+HLMtwOp1UgpOQXaKFIWRPdF1HJpPBzMwMnj9/jrW1tU3HLC0tYWxsDIuLi0ilUjSIR8guUSCTPdF1HclkEm/fvsXIyMiWgby4uIjnz59jdnYWyWQShmEcwZkSUnkokMmeGIaBfD6PaDSKxcVFZLPZTcckEgksLy8jHo/bxeoJIR9GgUz2jGEYcBwHQRDAsptvIetrHMfR1DZC9oACmewZwzBgWRYsy24ZuNbXrSpxhJDdoUAm+7ZT2NJAHiF7R4FMCCFlggKZEELKBAUyOVDUdUHI7lEgkz3Z60AdDeoRsnsUyGRfPhS0VnBTIBOyexTIZE+2m+q2FWv6GxUTImR3qED9AdJ1Hdls9tisVhNFEdlsFpFIBJlMZtsl0VZg5/N5JBIJRCIR8Dx/YvbTs/rNreJKtECG7BYF8gEpFApYWVnBzz//jKmpKfA8X/EtRY7jUCgUsLq6ilgsBkmSthy0EwQBqqri5cuXmJ2dhdvtBoATUdOCYRhomgZVVdHV1YXBwUG0t7fb14CQnVAgH5BsNovFxUW8ePECU1NTaGlpgcvlgqZpR31q+2YFciaTQaFQ2LasJsMw9q4hhmHYQXwSApnneWQyGYRCIRSLRbjdbgQCAQpksisUyAckm81idXUVDMOgp6cHX3zxBerq6rYsxlMprC6L+fl5jI+PIxwOb/kormkaeJ5HR0cHOjs70dbWBo7jjn2XBcMwkGUZy8vL+Pnnn5HP5xEOh5HL5Y761EiFoEA+IIZhQNd1OBwOuN1utLW1oampqaLfnIIgIJvNguM4rKysbFl6E3j32hmGgc/nQ1NTEzo7O+1ujOPMCmRRFDE9PY1wOAxN007EkwEpDQrkA8IwDARBgCzLcLlccDgcALBpd41KI0mSHTpbVXoD3g1qMQwDURQhSRIcDoddAe4kkCQJLpfrg9eJkPfRnXLAjtvo+n5ez3G7Bntxkl872TsK5ANkmuaGP8eBNUj3oddjvebdHHvcrH/dJ+21k49DgUwOFLUQCdk9CmRCCCkTFMiEEFImKJDJgaCuCkL2jgKZ7NmHBiqP42AmIYeBApnsmWEY0DQNiqJsuehB13Woqgpd12lRBCF7QIFM9mT9ghePx7PlYg9JkuB2uyFJ0olZDEJIKdBKPbInLMvC6XSivr7eLp7zvurqarS2tiIYDMLlclF/MiG7RIFM9oTjOFRVVaG3txf19fUIBoObjmlvb4fX60V1dTV8Ph8FMiG7RIFM9oTjOHg8Hng8nm0H7Jqbm9Hc3AyAZlsQshcUyGTftgtbCmFC9ocG9QghpExQIBNCSJmgQCaEkDJBgUwIIWWCApkQQsoEBTIhhJQJCmRCCCkTFMiEEFImKJAJIaRMUCATQkiZoEAmhJAyQYFMCCFlgooLVShrNw6e5zcV81m/fRLDMGBZ+tw9SUzThK7rAN5V59uq2JNhGDAMAyzL0v1RRug3UYFM00QymUQ0GoWqqpu+pqoqstkskskkCoXCEZ0lOSqGYSAWiyEej9vB/P7Xc7kc4vE4CoUCbbNVRiiQK9Tz58/x3XffIZFIbPh70zSxtraG6elpjIyMYGlp6YjO8PCYpolQKITFxUUUi8VNXysUCojH4wiFQshms0d0loenWCzi6dOnePr0KRKJxIZQtsJ4amoKjx8/RigUoo1oywgFcoUaHR3F999/vymQDcNAPB7H27dv8fz58xMRyLquY3JyEmNjY0in0xsCRtd1pNNpLC0tYXJyEmtra0d4poejWCxieHgYw8PDSCQS0DTN/poVyG/fvsWTJ08QCoVgGAaFcpmgPuQKZJomcrkcksnkhjeb9TVVVZHL5ZBOpze1GI8jwzAwOjqKSCSC7u5u+P1+cBxnf836gJqZmYEkSWhtbT3iMz5YhmEgk8kAAFRV3dAlYfUv5/N5pNNpKIpyVKdJtkCBXKF0XYemaVu2bKwBG03TTkT/oGEYCIfDWF5eRj6f33BNDMNAoVBALBZDKBSyg+o4Wz+ot9Xv3zRNGIYBXdepZVxmKJAr1HazJ6y/5zgOPM+fiBF0hmHA8zwEQdhyRgHDMCfuelhPCDtts8VxnH09aNut8nBgd+deP3mtT21C9oNhGPvPdn9/0kJnp9e8/msn7bqUswNrIWuaBkVRoKoqRFGE0+ncdIzVF1osFmGaJhwOB1wuF90ghBwC6q7YnnVtPpRFuz1utw4kkK2BlPHxcTx48ACnT5/GvXv34PF47BM3DAOrq6v47//+b7x69Qp9fX24dOkSLl68aD9uEULIYctms4jFYhBFER6PB5IkbdnVVSwWsbS0BIZh4Pf74XK5IAjCR/3sA+1Djkaj+POf/4x4PI6Ojg709fXB7XYDAJaXl/H06VP8+OOPmJubg9/vpxFfQsiRy2QyeP36NUzTRCAQQGdnJ7xe74ZjEokE5ubmMDY2Bp/Ph/Pnz0OSpPIMZJZlEQwGcebMGQwODmJtbQ3379+H3++H2+1GPp/HgwcP8O///u/w+Xz46quvcO/ePXR2dlLrmBBypLLZLEZHR7G4uAi/349/+Id/2BTIz549w3fffYcXL15gcHAQ/f39JRkwPtAWcmNjI27cuIGffvoJL1++xPT0NJxOJ54+fYrh4WGoqorBwUH85je/walTp7bsh9F1HblcDqFQCOFwGIqiwO12o7W1FTU1NR/9iXRQrFF/juPsEf5S2W39AWu2xXFnzRb4UD/e+tkHB4nn+U1/DpN1PT7UR7x+Rs5xp+s6wuEwlpaWkMlkwPM8GhoaEAgE4PP5NhzrcrnQ3NyMqakpjI+P4/r16+ju7gbLsjAMA7Ozs/jpp58wNjaGxsZGdHd3w+PxlOQ6Huid4vF4cOPGDaysrODNmzcYGxvD0tISvv32WxiGgVu3buHu3bs4ffr0tt8jn8/jzZs3+P777/Hw4UMkk0m0tbXhyy+/xOXLl9HS0nKQL2Hf1nf2l3oGiVU4aCdWOJ2EgZu9rDQ7jJk81s+wZjIc9uyh3V4P6z4yDONYh7Ku64hEInj48CHu37+Pubk5uN1u3Lp1C7du3cLly5c3NHACgQA+//xzLC8v4w9/+ANmZmYwPz+P9vZ2zM/P47vvvsPw8DAA4B//8R9x+fJlyLJckoG9Aw1kjuMQCARw5swZ+1Mlm82itrYWQ0ND+PTTT9HT07Pj9wiHw/jd736HP/7xj3jx4gXy+Tzm5uaQzWaxurqKmzdvguf5TUV2jgrLsuB5HvPz83jz5g3m5+fhcrnw6tUrNDQ0IJfL7ft7W/Nti8UiwuHwtm90KwTy+TwWFhbw4sULsCy7aVXfx7JaWNbP280HRanJsoxUKoVwOGyvStxq6hsAKIqCxcVFjI+P2x+UpTxfhmHgcDiwsrKCqakpRCIROJ1O1NfXQ1VVFIvFAw9nl8uFUCiE1dVV+zH7/acp64NC0zTMz8/D7XZDEAS7BXhQrCe79R8EB8n6fcTjcTx//hw//PADHjx4gHg8DkmS7NonnZ2dqK2t3XCe1dXVOHXqFGZmZjA3N4dHjx6BYRg8evQI9+/fR0NDA65evYq+vr4tZ5Dt16E8SwWDQdTX1+M//uM/EIlE8C//8i+4fv06BgcHP/hvo9EoHj16hGfPniGZTAIA0uk04vE4GIaB2+2GKIplMyBoBXI4HMbi4iLW1taQy+Xw+vVrrK6uIp/P7/t7WwGoKApWV1e3vaGtm75QKGBxcRGSJJW0pbZ+poyiKNB1HaIoblhocFjB7HA4kMvlEA6HIUkSgM0BZJ2PoihYWFiwX0Opz9EKgLW1NSwvLyORSECSJExOTiKTyUBRlAMPIafTiVgshkgkAlEUd5ybraoq5ufnoWmafexBnN/6D0Rd1+1uEqs06EHdKwzDwOl0IhwO47vvvsPjx48xNzcHAEilUlhdXUVLSwu++uor1NTUbLpO3d3diEQiePLkCR48eABVVTEyMoJQKIR79+7hyy+/RE1NTUnP+VACeXV11a41wPM86urqUFVVtat/qygKCoXCptadVb1raWkJoiiWTQsZeHcjKIoCWZYRCATAsiwikQiSyeSW5RD3+r1VVUUqldpx0j/w7lEtmUxicXFxV32Ku2W1pAqFAqanp5HJZNDS0oLq6mrIsgzgcLoGAEAQBLsug9VXu10AWWVLd9PfvF/WB6Ysy+B5HhzHIZVKHUoYA4AkSUgkEkin0/Z7ZrvVi6ZpIh6PA4C9yvEgwtG69+bm5hCJRODxeFBTU4NAIACGYT76PbEVqxa49cSwvLyMVCq16bj1+fL+eFRbWxsURcHIyAgePnyIx48fo7GxEffu3cPQ0BACgUDJz/tAA7lQKGBiYgJPnz5FLBbDmTNn4PF4kEwmsbS0hO7u7g8OeLhcLrS0tGB6ehq5XA6maUKWZTQ1NeHUqVPo7OyEIAhlFcjAxlakaZp2CHzsDc9xHIrFIl68eLHlDQb8/5tRFEVUV1ejq6urZK2f9f2iqVQKMzMzKBQK8Pl8aG5uhtfrPbA32VZEUUQ2m8Xz58/tN5T1+i3WNRcEAYFAAK2trQfaMjtKsiwjGo3C5/NBFEUAm59WrC4DjuMQDAbR0tJib3RwENeE53kYhoFoNIqlpSXwPI/q6mq0tbUd+HtXlmU4nU4sLy8jnU4jk8lAVVVwHAeXy4XGxka43e4tc8jhcKClpQUNDQ1wOByYn5/HmTNn8Nlnn6G7u/tAzvdAA3l+fh7/+q//ivn5efj9fvzVX/0VOI7D7373O8iyjLNnzyIYDO74Perq6nD9+nUkEgkUCgVks1m0tbXh7t27+O1vf4vbt2+XVR/yQRNFEYVCAZOTkxgZGdnyGF3X7e6cc+fO4d69e2BZtmTXyArkWCxmd4vcuXMHfX19dqW1w2ohi6KIdDqNiYkJhMNhAO9e//o3mBUykiRhcHAQd+7cAXB4rfjDJIoiVlZWMDY2Bo7jNhQaslj9tw6HAxcvXsS1a9fsOh8HEciCIEDXdQiCAFmW0draioGBAZw5cwaSJJV8bGM9URQRi8XQ1tYGr9eLTCaDWCwGr9eL/v5+DA0NoaGhYdsnJkmS0N3djStXrqChoQE3btzA0NDQgc3uOpBANk0TL168wPfff4/Xr1+jo6MDX3zxBS5evGiPdoZCITx9+hSXL1/eMZT9fj9u376NmpoaXLt2DcViEYFAAIODg+jt7bUvjNUaOAkkSYLD4fjgcSzLwuFw2CPopb5GbrfbPheXywWPx7Or8yo16+du13e8PmQkSTr0aWiHze12w+Fw7PiBYz1FSJIEl8t14OfE8zycTiccDgdkWYbL5bIHww76vVtdXY1z586B4zi0t7cjHo9DlmV0dXVhYGBgx3vWGgwXRRHt7e1obm4+0Km2Jb8zTdPE0tISfv/73+Px48fwer24efMm/vZv/9a+AQYGBjA9PY2HDx8iEAjsGMhOpxOnT5/GqVOn7NKKgiDYAzgnkVVas1TH7YdpmigWi9A0DbquQ1VVKIoCp9N56LVIrPPYqnW3flDLqhV93CmKAk3Tdvw9WN0TmqZB07RD+ZBSVXXDvXJYPxcAampqcPv2bVy/ft2e6fT+/OOt6LqOWCyGfD6Pzs7Okg/iva+kV8M0TTx8+BDffvstfv31V1RVVeGrr77ClStX7JvD4/Hg1q1byOVyePz4Mdrb29HW1obq6uodfzkcx9nLrgkhZD8EQdhVEFsKhQKi0Sjy+TwaGhoqK5CBdy9AURQ0Nzejr68Pt2/f3jDHz+Fw4PTp0wiFQohGo3C5XFAU5VgOsBBCKpvVqnc4HKivr9/17LD9KnkgDw0Nob+/3+6eeH8NOMuy8Hg8+Oyzz3D16lV7FPS49+sRQiqPYRiorq6Gw+FAMBg88P72kqYgwzDwer2bQvh9Vih7PJ5S/nhCCCkZ0zThdDoxNDQETdNQV1d34AOQ1CwlhJAtMAwDj8eDq1evHtrPPP4bjJ0wVl+8Nd2L+uZPrp1+93RflCdqIVeonYqznOQw3m5V2km7Fta9sd3rtu6fk3htyhkFcoXSNA2qqm75Zlq/zftxXI22lfXb2m8Xynsp01nJrPnFO7HmqFur+N5fbk6OBgVyheru7oau65vmZrMsC6/Xi6amJjAMcyAFUMrR+mLr61fsWUXpd1vE/jgQRRG9vb328vn1tY6tinRNTU3I5XJ2lbOTcF0qAQVyBWIYBteuXUNfX9+mieosyyIQCECSJLS1tR34vMly4fF4kM/nNy2htgLI5XLB6/WeiCX2kiThzp07YBgGNTU1G6aUWgus+vv70dTUhLq6upJsPURKgwK5AjEMg5aWFrS0tGxah2+VHBRFEX6//0TM7+Z5Hrdv30Yul0Ntbe2G1h7HcaitrcWZM2fQ1NSE5ubmIzzTw8HzPFpbWwFg047JDMNAEATU1taiqqrKroNMysPxf7ceU1bZwnQ6bVd3EwQBoijadXhPCo7jcOnSJQCba/9yHIeqqqo9LZetdCzL7riAwSo6dRSFoMjOKJAr1PLyMsbHxzE3N4d0Og1BENDT04OBgQE0NzefqEAGti7CvpevE1IOKJArTD6fx9LSEn799VdMTk7aVbOsr8ViMVy8eBHt7e0l23ixklgzKmigilQiCuQK8/r1a/zf//0f5ubmIIoihoaGEAwGkUqlMDw8jLGxMaTTaaiqiv7+/gOt3VpOrP39CoWCvW+bVX+XkEpBgVwhFEXB9PQ0fv31VywtLaGzsxPnzp1DZ2cnvF6vvXmqLMtIJpOYn59HT0/PsQ9ka1+4Z8+eYXp6Gvl8HoqigGVZVFVVoa2tDZcuXYLf7z/qUz1UmqYhkUggGo1CURTwPA+v1wu/338oBenJ/lAgV4h0Oo3Hjx9jcnISbrcbt27dws2bNzcc43a70dTUhImJCaiqeiIWhaytrWFiYgI//PADXrx4YW9vD7ybj9vT02Nv1+NyuU5EN0axWMTKygrm5+cxPz+PQqEAh8OB6upqtLS0oLu7u6Rb15PSoUCuEIlEAjMzM2BZFlevXkV7e/umY2pqaiBJkr1p5XHeVUXXdcTjcfzpT3/CgwcP4PV68dd//dd2AOdyOTx79gyzs7P4+uuvEQqF8Nvf/vbYTwNMpVKYnJzE73//e4RCIXtqGwA8efIEfr8fN2/exJkzZ9DY2HjEZ0ved7zvzmOiWCwiHo8jEokgEAigv79/y50LeJ6Hz+c7EVO8stksJicnMTExgbW1NQwODuIv//Iv0dHRYR/jdDohiiIWFhaQy+WO/RODoiiYmJjAkydPsLi4CJ7nUV9fD6/Xi2KxiGQyiWg0imfPnkGWZdTV1Z242TjljgK5zJmmiWw2i0QigXw+D0EQUFVVtefBKsMwYBgGOI47Fo/tsVgMjx8/hqZpuHnzJm7cuLEhjAGgt7cXDQ0NiMVicLlcxzp8FEXB8vIyvv/+e4yPj+POnTu4dOkSOjo64HQ6kc/nsbi4iOfPn+PRo0d48+YNBgYGUFVVRSv1yggFcgUoFAr2oJ0oittuJLp+loHD4YDT6UQ4HLYHu3w+H/r7+yHL8mG/hJKLxWKYmZlBbW0tBgYGNjx+W9PeZFmGLMv2gN5xDuRYLIaxsTHEYjFUVVVhYGAAZ86c2bAruyzL4HkegiCgsbFx2526ydGhQK4AVpUylmV3fANFIhGEQiHwPI9AIACn04nZ2Vncv38fmUwG3d3d6OjoqOhANk0TiqIgHo8jFouhpaUF7e3tG54Y3v+wWl+/Yn3FN2uu8nF4YlhdXcXo6ChEUURfXx+6uro2zbCxig719vbaf/f+9aCAPloUyBXA6XRCkiRkMhmsra0hlUptqvJmmiaGh4fx888/48qVK3C5XHa/czwePzb9p1YXTjabhWEYkGUZPp9vV0WDrJkqo6OjKBQKaGtrw82bN1FfX1/x85VTqRRCoRCamprQ3t6+q1kUmUwGP/74IyYnJ8FxHHp7e3HlyhX4fD4K5iNCgVzmrG1kqqurIcsyEokExsfHYRgG6urq7IBaWVnBxMQElpaWcOXKFTgcDqiqCkEQUFNTA0VRIElSxbcGrVq/mqbBNE1wHLftXOtMJoNCoQBBEKBpGtbW1jA1NYWxsTFkMhn78Z7neTQ1NR3yKymtbDaLZDKJnp4eNDQ07DibxDAM5PN5LC8v29fDuq4NDQ0QBGHTBz45HBTIFcDq8zt79ixevnyJ//qv/8Jf/MVf4OLFizAMA5OTk3j06BEkScJnn32GCxcuoKWlBYZhoK+vDwDw9u1bCIJQ8QXaGYaxCyhZfeaqqm7ZDfP06VO8evUKwWAQDocDuq6jsbERf/d3f4dCoYBoNIrHjx9DluWKDmRFUZDL5VAoFCBJ0rZV/gzDgKqqyOfzmJ2dxdzcnN2NFYvFoKoqXr58CZfLRYF8RCiQK0R1dTVu3rwJSZIwMTGB2dlZ5HI5mKaJdDoNWZZx+vRpXL582R7gsnb3rq6uxtLSEoDK30vNKi9qFV5fWVnBixcvcP78eTuUDcPA3Nwcfv31V8zNzSEYDMLv99u1omVZRigUgqqqWFpagqqqH31e6z8ceJ6Hx+PZ8NivqirW1ohtKxgAAAtISURBVNYgCAJ8Pl9JZ7tYxfetVq6iKFseNzs7i5WVFeTzeXAch/r6elRVVSGdTiMUCiGXy9EqviNGgVwhJEnC0NAQmpqa0NTUhLGxMTx//hwA0NXVhb/5m79BT0/PpvnJ1hvUCopKZ5UZrampQU1NDcLhMH766ScEg0F0dXUBAObm5vDgwQPMzs5CkiT09/ejr6/PHhgtFotYXl4Gz/Po6OjYck73Xll9uMlkEl6vF319fRsCOZPJYHh4GF6vF+fPny/pqkGr6LzL5UIikcDCwgL8fv+GVq6iKBgeHsb4+DgEQcCtW7dw9epV5PN5PHv2DK9fv4Ysy+jr66NVfEeo8t+hJ0xdXR0uXbqEhoYGJBIJAO9W6LW3t29Zr2H9/nof2metkjQ1NeHLL7/EyMgIZmZm8G//9m/27ijFYhGapmFgYMDuU7VmU1it4lAoBEmSMDAwUJLuCmslZTgcRkNDw6Y6IplMBk+fPkVdXR16enogy3JJB85qa2vR3t6O2dlZfPPNN/D5fBgYGADwrlTryMgInjx5AgC4fv263ZVlLRDp7+9HMplEJBJBOp1GfX19yc6N7B4FcoWxBqB2GyI8z8PlcqGmpgYOh+PYzMWtra3FJ598AlEUkUql8ObNGySTSfA8bwfM1atXcfbsWTv48vk8Xr16hcnJSaRSKbS0tKCjo6Mkj+m5XA6RSAQrKytwOBybZrUUi0XMzMxAVVUUi8WSdx0Fg0EMDg5idXUVk5OTGB8fB8uyEEURL1++xMjICBRFQW9vL27cuAGv14tEImFXxuvs7MT09DRWV1eRTqdLem5k9yiQjzmv14uenh5709PjNFgjSRIuXryIlpYWJJNJFItFu4/Z7/ejtrbWDuNwOIynT5/ixx9/xNLSEi5dugSWZTE/P4/GxsaPXm7OMIy96GKr/mGrq0UQhAOZ6RIMBnHnzh1UVVVhZGQEDx48wNdffw2WZeHz+dDe3o47d+6gv78fXq8XCwsLGB0d3bCkPJfLIZ/P2ztRk8NHgXzMWSHg8XiO+lQOhN/v31VpzXw+j1AohGg0inQ6bU97s/pfPzaQrUU72y3esQL7oJaucxyH6upqXLx4ES6Xy+4vN00TLS0tOHPmDC5cuLDhPmBZ1p7X7nA4IAgCWltbT0QtlHJFgUxOBGsg8OzZs4jH43btB4fDse2shL0ol9krXq8XFy9exLlz5+yWLsuy4Hl+w6Buc3MzXC4XVFVFMplEKpVCd3c3rl27Rv3HR4gCmZwIXq8XAwMDaGtrQ6FQQLFYhCAIu25hVwqrJf6hGTUMw9g1L2pra6GqKoLBIBoaGo512dZyR4FMTgSPx3Nsu232i2VZdHV12dMFydGjBeuElMhuuy3KpXuDlB8KZFJSlV4rY7/2UjWOZdkTe53IziiQyUdZX8LyJIfMbl+/VeLypF8rsjXqQyYfRdd1qKpqL8+2Fhocp1WBO7EGz3Rd31WJU8Mw7GvFMMyGesTHlSAIMAzDrtKnadqxKQdbahTI5KMYhoFisYhYLIZIJGK/0U5SIDMMg0QigUKhYM//3YppmsjlclhdXQXDMPaKvpMQyLquI51OQ9f1E/80tRMKZLIv63eXiMViePToESYnJ+16EidltZfV/ZBIJJDJZCCK4pbL061KbG/fvsU333wDv99/YgKZYRiYpoloNAqe5+H1euHxeCiUt0CBTPZNEATU1dWhvr4exWIRa2trKBQKAE7OTAIrVPL5PDRNs1vMWzEMA7lcDtFoFIqibFnz4jiyXqPT6URdXR2amppQVVVFgbwFCmSyb7IsY2hoCJ2dnSgWiwBwLEp87pZpmnYAz8zMYHZ2dsdaEFa5z7t37yIQCNhF861NWY8r68NZlmV4PB74/X64XC7aJmoLJ+fdQ0qO53k0NDQgEAjYAzXHOVi2Yn0AaZqGRCIBRVG2bPVaXTzV1dXo6elBfX09RFE8EV0WFkEQIIoiBfEOKJDJR9nNMt2TQJZlO2y2C1hr+ymPxwO3203XjWxCH1WElMBengxolgHZDgUyISVgGMauuh+s2RYnYTCP7B0FMiElQq1e8rEokAk5ZBTcZDsUyIQQUiYokAkpAWr1klKgQCakBEzT3NWA3vr/EvI+CmRCSsAwDLvqnaZpm0LXKsJULBYpkMm2KJAJKQGe5yHLsr1A5P0uDJZl4XK54HQ6D2znaVL5aKkQISXgdrtRX18PhmFQU1OzaXmwJEno6upCMBiELMu0fJhsiQKZkBKoqqpCR0cHAoGA3Qpez+Px4OrVq3C73XA6ndRCJltiTOrQIqRkrBV477eATdO0i7NvVS+ZEIACmRBCygZ1WRBSIqqqIp1O2zMpWJaFIAjweDwQRfGoT49UAApkQkrAMAyEQiF8++23mJychGmakGUZTU1N+Pzzz9HR0XHUp0gqAHVZEPIRDMNAMpnEy5cvMT4+jpWVFRQKBYiiCEVRwHEcent70d/fj97eXng8nqM+ZVLGKJAJ+QjJZBLj4+P4n//5H7x48QKffvopzp8/D6/Xi6WlJbx69Qpv3rxBfX09/vmf/xnd3d005Y1si7osCNknXdfx5s0b/OEPfwDDMLh79y6uXbuGzs5OCIKAhoYGBINBGIYBRVGQSCSQSqXsnbkJeR8FMiH7oOs6IpEIpqamMDExgRs3buDv//7v0djYaLeAfT4f6uvroSgKwuEweJ6HqqpHfOaknFEgE7IPiqLgzZs3WF1dRXNzM7q7u9HU1LRpwQfHcbhw4QIURYHD4YAsy0d0xqQSUCATsg+apmFxcRHJZBLBYBCBQGDb1Xder9f+f9M0USwW7d2pWZaFKIpb1r8gJw8FMiH7oOs6EokECoUCAoEAHA7Hrv5dNptFNBpFPB5HsViELMuora1FfX09reAjFMiE7Ieu6ygUCjBNE263e8tANk0TiqIgFovBMAz4/X4sLCxgeHgYqVQKLMvC4/Ggp6cHgUCAAplQIBOyX1YXw3a7TefzeUSjUUxNTcE0TQwMDGBubg4//fQTisUiqqqqUFdXh2AwSDWSCQCqh0zIvnAcB1mWUSgUMD09jVQqtemYaDSKX375BT///DMmJiaQy+WQTCYxNTWFqakpRKNR1NTUoL6+npZWEwDUQiZkXwRBQHNzM5aXl7GwsIDJyUl0dHRAFEV74G58fByvXr0CwzDw+XwwTRMMw8Dj8aC+vh4dHR1wOBxQFAXFYhGSJB31yyJHjAKZkH1wOBwYHBxEIpHAq1ev8Oc//xnZbBatra0wDAOzs7OYm5uDqqr48ssvMTg4iGKxiOrqaty+fRsXLlxATU0NfvjhB4yPjyMQCKCurm7Xg4PkeKJAJmQfOI5DMBjEhQsXUCgUsLy8jPn5eSQSCXAch1wuh8bGRrS1tWFgYADV1dVYXFyE0+lEX18fLl26BFEU8c0336BQKCCfz0PX9aN+WeSIUSATsg8Mw0AURfT396OrqwuPHj3C48ePkclkIIoiGhoacPnyZZw/fx7Au4Ukuq7be+9pmgZFUaCqKkRRBMuyNA+ZUHEhQkohGo0iHA5DURR7Q9NgMGgvCtF1HclkEr/88gv+9Kc/2X3GTqcT586dwyeffAKfz3fEr4IcNWohE1ICtbW1qK2t3fbrHMfZ85WLxSKmp6fh8Xhw9+5dnD59msKYAKAWMiGHxjRNZLNZJBIJ5PN5sCyLqqqqbReWkJOHApkQQsoELQwhhJAyQYFMCCFlggKZEELKBAUyIYSUCQpkQggpExTIhBBSJiiQCSGkTFAgE0JImaBAJoSQMkGBTAghZYICmRBCygQFMiGElAkKZEIIKRMUyIQQUiYokAkhpExQIBNCSJmgQCaEkDJBgUwIIWXi/wGRZvRIMNYHUwAAAABJRU5ErkJggg==)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXoAAAFWCAYAAABnzlbdAAAgAElEQVR4nOzdeWyc933n8ffzzD0cksPhfYqkSImkDuqmj1i249tWnNhBrzTdpEWCbNEiXRRdYNddYBdBt2mQ/hFvdxEEu00awHXaHK5ru06UyLIdyZZ1HxR1UBQp3vc993PtH85MSYvHkKJIavh9AWlS8XlmfjPkfOb3/J7f7/tTLMuyEEIIkbbUtW6AEEKIu0uCXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNSdALIUSak6AXQog0J0EvhBBpToJeCCHSnAS9EEKkOQl6IYRIcxL0QgiR5iTohRAizUnQCyFEmpOgF0KINCdBL4QQaU6CXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6IUQIs3Z17oBQtwrDMNgamqK9vZ2Ojs72bFjB7W1tYue197eTmtrK3l5eZSUlFBQUIDdLh89sXqkRy9EinRdZ2BggPfee48f/OAHtLS0pHTetWvX+OlPf8rRo0dpa2sjHo/f5ZYKMZsEvRApsiwLTdMIh8NMTU2lHNiGYRCNRgkGg4TDYUzTvMstFWI2CXohUmRZFpZlLfk8RVFQVRXLsjAM4y60TIiFSdALkSJFUeb830s9V4jVJkEvxBIoipIM7eWEvQS+WAsS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS9Eiux2O3a7HVVVl3RT1Wazoaoqqqpis9lkVaxYdRL0QqRoufPoZ5633McQ4k5I10KsmFAoxPXr15mYmEi7QLPb7YTDYXp6erhx40ZKK1x1XWd0dJSOjg56e3vRNA2n04mmaWRlZaFp2iq1fnGKomAYBpFIhKKiIhoaGvD5fDIdNE1I0IsVMzk5yS9/+Uv6+vrIyMgA0mehkKqqxGIxxsbGaG9vJxqNLvpFFo1G6ezspLOzk/7+foLBIJqmMTY2hsfjWVerZFVVJRqN0tfXR0NDA1lZWWzatAmv17vWTRMrQIJerJjJyUmOHj3K+Pg4e/fuxePxoKrpMTqYCPp4PI5hGCldrViWha7rGIaBYRjouo6macRiMVRVXVdBb7fbCQaDdHR0oGkalZWVeDweKisr17ppYgVI0IsVE4/H6e7uxul0Ul1dTW5uLjabLS2GcGw2G5FIhIGBAUKhENFodNGrFafTSX5+Pvn5+eTk5BAIBKisrGTLli34fD50XV+l1i/O5XIxMDBAW1sb4XCY4eFhQqHQWjdLrBAJerFiFEXB4/FQU1PDZz7zGUpLS3E4HGkxXu9wOJienqatrQ3DMBgdHV006F0uF7W1tdTV1dHc3Ex5eTkHDhzgwQcfJDc3l1gstkqtX1xGRgbt7e309PQwNTVFZmamzA5KI/KbFCtKURTcbjc5OTlkZWWtdXNWVG5uLiMjI3i93iVNsXS73bhcLrxeL1lZWeTm5ianaq4nOTk5eL1eIpHIkqeQivUtPQZQxbqRGJeORqPragx6JUSjUWKxGLquL+kKJTFOr+s68XicaDR6F1u5fNFoFF3XMU3znr8CE7NJ0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohUpRYD5CYlbKUmSkzzxNitUnQC5EiRVGSpYaXMsc8sVeszE0Xa0WCXogUKYqCy+XC6XQuaaNvRVGw2Ww4nc7kuUKspvW1NE+Idcxms5GTk8POnTsxTTPlgl9lZWV86lOfoqCggNLS0nW3IlakP/mLEyJFdrudvLw8HnvsMR599FFsNltK523fvp36+vrk8E26VPQU9w4JeiGWQFGUWT1yy7IWHYqRcBdrTf76hLgDMt4u7gUS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNSdALIUSak6AXQog0J0EvxF0kOweK9UDKFIu0EQqFaGlpIRaLUVdXh9/vx+FwrGmbFEWnv7+ftrZbjI6OEQ6HMAwD0zRvq3yZ2E9WURSysrLYsWMHZWVlsiuVuGMS9CItRCIRWltb+c53vsP09DR/8Rd/we7du2cF/cwgXYxlWWiahmVZyX1iP1lT3rIsDMNA1/XkNoOfeBQgyvnzH/Ld777CmTNnGRjon7c2faJ9qqqyZcsWXnrpJZ555hlycnIk6MUdkaAXaeHs2bP86Ec/4sMPP6SwsJBYLLbkx5i5iUgoFOLw4cNMT09TWFjIrl27KC4unnW8aZrcvHmTH//4x+Tl5fFHf/RHc4Z9JBJiYmISRVGor6/n0UcfpaCgAMMw5m1LXl4eO3bswOPxSMiLOyZBL+5pkUiE/v5+3nzzTf7pn/6JyclJKioqsNvtS97VaWagtrW1cezYMSKRCNu2baOmpmbWsZqm0dvby7lz5zh8+DBbt27lS1/60lyPiqra8PkyqKqqYv/+ffyX//JfKCoqWs7LFWJZJOjFPWtycpLDhw/zne98hzNnzqBpGkByL1drGXdCY7EYb7zxBs3NzQQCAWpra9m9ezclJSXJY6amprh58ya/+tWv6Ojo4Etf+hL79u2bozc/m2VZmKaJrutLbpcQd0Jm3Yh7jq7rdHV18bOf/YzXXnuNjo4OCgoK2LFjB4FAAMMwlhXyAIZhcPHiRVpaWvD5fNTW1lJXV0dGRkbymFgsxuDgIJcuXeLWrVs0NTWxe/fuBTYL//hKITGmv5xhJSHuhPToxT1nZGSEDz/8kL/6q78iHA7z1a9+lcbGRnRd5+WXXyYSiSw76OHjQE6M1881Pp74uWmayZu1QqxnEvTinuPxeNi8eTNf/OIXsdvtPPfccwQCATo6OnA4HMTj8WU/tsvlwjRN4vE4uq7P+YXhcDiw2WxomkY0Gk3hUf99No3L5SIrK2vZ7RNiOSToxT0nOzub/fv3s3///uS/DQ0NMT09TTwev6NZKsFgEFVVcbvdOJ3OOYdjotEo8Xgcl8tFZmZmCj36j9uj6zrBYJCBgQGys7OT9xQ+yeFw4HA4ZLaNWDES9CItrEQotra2cu7cOex2O7t27aKhoYGCgoLkzzVNY2BggJaWFq5cuUJ1dTUlJSUEAoEFH9dms2GaFj09PXR0tHP27Fm8Xu+sq4XEUFFWVhaf+9zn+MxnPkN+fj52u3xExZ2TvyKRFkzTvOPHuHbtGu+//z7FxcU0NDRQU1NDbm5u8ueGYdDf38/169dpa2ujqamJhx9+mJycnAUfN/EdlOjRDw4O4nK5ZgW9aZqoqko4HGZ6evqObigL8UkS9EL8Rn9/P9euXaO0tJSSkhIKCgpwu93JnyuKwuTkJAMDAwwPD5Ofn3/b/Pq5GIaBqiqUl5dTX1/HV77yFTZv3jzn0I2qqmRlZZGZmbnALB4hlkaCXojf0HWdUCiEzWbD5/Mlp1QODg4SCoXo7e3lypUrdHZ2Mjw8zMDAAJOTk4uO0yd65m63m4KCArZv3z7rSkGIu02CfhVYlkUwGMQ0TXw+X8o9tXg8TigUwuVy4fV673IrBYDdbk/Oddd1nYmJCVpaWmhvb+fWrVt0d3fT2dnJ6OgoZ8+epbi4mIceegi/37/Ao348dmMYBtFolImJCQl6saok6FeBruscO3aMvr4+ampq2Lx5M+Xl5Yue19LSwve+9z0eeeQRfvd3f3cVWroxxeNxent76e7uZmJigs7OTpqbm4nH40xOTnL16lW6urro6+tjeHiY/v5++vv7ef/993G73ezYsWORoBdibUnQrwLDMLh8+TItLS1EIhEyMzNTCvpbt27x/e9/H7fbLUF/F42MjPDee+/R2tqaDP0LFy7Q39+fvEGakZFBcXExiqIwMjKCaZoMDQ3R1dUlK13FuidBv0oS0/8SqypTJTMv7r6enh5effVVbt26hdfrZXp6mitXrnDt2jVqamrYt28f+/btw+fz0dzczLvvvovD4cDlclFVVbVojRsh1poE/SpIhLyiKBLc69Do6Cj9/f3k5+dz33334ff7sdlsxONxKisr2blzJ3V1ddjtdjweD263m7KyMux2O5WVlbLSVax7EvSrZGbYL/U8WSF5d+i6zvDwMCMjI2zatIn9+/fzW7/1W2zatImMjAwMw0i+/4lZNQUFBXz605/m0UcfBZj1MyHWKwl6kRZM00TTNKanp9E0bd7yAjNNTU3xve99j97eXg4dOsT+/fupqalJDsXMtSpVUZQ5Z03N3LTkEz9B02JMTweZnp4mHA6vyOIuIZZCgl6kBbvdjs/no7KyEk3TyMjIWLSnHQqF+Jd/+RccDgdf//rX2b59+7KvnuY/T8Xny6aiopzs7GyKiorWfB9bsfFI0Iu04Pf7OXDgAN/85jexLItNmzbNWtU6l0R9eEVR0DQNwzBWuLaMArhpanqEysrt6LqOz+eT3aXEqpOgF2nB4XAQCAQWLTA2k9fr5cknn0wWE7sbN8oty0ZubgG5uQWLHyzEXSJBLzasnJwc/ut//a/Ax6WP70alSLmPLtYDCfpV4HK5cDqdyQ2rUx0HTgw93Ctjul6vF5vNds/MFLLZbOTn5691M9aNxO/NZrNJ2Y00sy6CPrGjT2K8NJ14PB4mJiYIBoPJ15jqEMHU1BQA4XA4eU4kErlrbb0TXq+XsbExNE1b8qIwsT4ktkeMx+NMT08zOjpKYWEhpmliGMZaNy8t2O32ZIdvVZ93VZ9tDqZp0t/fz+uvv05LSwtOp3Otm7Si7HY7sViMs2fPAlBVVbXoVnfj4+McOXKEn/3sZ5imyfHjx/nP//k/Ax/P/V5vFEXB6XTS3d1NV1cXdXV1aJqGaZpSavceYpomwWCQa9eu0dXVxYkTJ8jPz0/ujSuWT9M03G43Bw8eZN++fRQWFq7qpjJrHvSxWIy+vj7ee+89zp8/n5zHnC5zjVVVRdM0hoeH8fl88+5DOpNhGPT19TE4OAjAxMQEN27cAFZmg427wW63MzIyktxDVYLh3mQYBqFQiGAwSCwWY2JiQn6Xd0hRFIaGhgiFQmRkZCR3JdtQQR8MBpMBUV5ezu/8zu9QUFCwbocolsrlchEMBnnrrbcYHx8nMzNz0TH3rKwsHn/8cQYGBvjwww/Ztm0bX/nKVwDWZQEtRVHwer20tLTQ1dWFqqo4HA5ZMXqPURQFt9tNeXk5ZWVl1NXVUVFRgWma67aDsd7ZbDZsNhunTp3io48+Su4ZvHXrVjwez6q1Y82DXtf15CrG3Nxc9u7dS3l5OcFgcI1btjI8Hg+Tk5NcvnwZ0zRxuVyLBqDT6aSuro7NmzejKArFxcXcf//9WJaV7DGvJ4npiTabjczMzHVdFiDd7gGtJEVRcDgc+P1+qquraWxsZOvWrTJGfwcSY/JTU1NcvXo1uWZjta+S1jzoZ97lz87OprS0lJycnEX34byXZGZmkpOTg9vtTnnM2mazkZeXlzw/8b/Xs+Li4uReqOvxcl9CfnE2mw2Px0NOTg7FxcWyuGuFFBYWkpmZidvtxuFwrPrf4pp3u2YGwnx1RO51S5lSOdNyC6GtlfXaixdLk7gik9/nylluBqzY86/ZM//GzBefWJKebhKzFpbay02Mi67H3vFcljJ1VKxfiWmWMi6/ctb6s7HmQS+EEOLukqAXQog0J0EvhBBpToJeCCHSnAS9EEKkOQl6IYRIcxL0qyQxtWqpU6zW6+IjIcS9Q4JeCCHSnAT9KpjZI19KLerESmFZoSiEuBOSIKtAVVUCgQAlJSXk5eWlvHNPVlYWDQ0NUm9ECHFH1ryo2UZgt9t54oknePDBB8nKyiIrKyul83bu3MnLL79MSUnJXW6hECKdSdDfZZZloaoqFRUVSz4vLy+Phx56KPn/w71T4EwIsX5I0N9lyw3mT54nAS+EWC4ZoxdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzMuvmDkSjUVpaWpicnMTj8VBVVSWLm4QQ644E/R3o7+/nBz/4Aa2trWzatInf+73fk6AXQqw7EvTLNDQ0xOnTpzl+/DjDw8Pk5uYuezPlYDDIxMQEwWCQgoICAoHAnMfduHGDaDRKRUUFPp8Pm8026+e6rjMyMsK7777LqVOnCAaDxGKxeTcmNk0Tu91OYWEhjY2NPP300xQUFCzrNQgh1i8J+mXQdZ2LFy9y9OhRWltbcTgcuN1unE7nkh8rHA7T29tLd3c34+PjNDY2zhn009PTnD9/nlAohM/nw+PxzBv0b7/9Nq+88gpAsm2KotwW9rqu43Q6qa6uxm63J1fhCiHSiwT9MgwNDXH48GFee+01IpFIykXKPikcDtPX10dzczO3bt0iFouxadOmWcdYlsXIyAjXr1/n5MmTAOzZs2fOISJFUVBVFcMwyMnJ4ZFHHuHgwYM0Njbi8XjQNO22x1YUBY/HQ05ODsXFxct6HUKI9U2Cfol6e3s5duwYfX19+Hw+DMOgoKAARVGWNHRjWRb9/f20tLTQ0tKCZVnU1tbe1ps3TZMzZ85w5MgRTNNky5Ytcw7bJCiKgqIoZGRksHXrVg4ePMiePXvu6DULIe5tMr1yiS5cuMBPfvITcnNz+f3f/30efvhhKioqUBQFwzCW9FgdHR2cO3eOtrY2cnNzefHFF6mpqZl1jGVZHDlyhB/84AfU1dXxH/7Df6CysnLBYaLEME00GmVqagpd15f1WoUQ6UGCPkWRSIRf//rXvP/++wwODlJbW8vBgwfJz89f9sYgmqYRiUSIxWKoqorH45nzuGAwyPj4OE6nk4yMjHl7858kWxAKIUCGblLW19fHa6+9xpUrVygpKWHnzp3Jm5ixWGxZj6mqKk6nE4fDAYBhGLeFuGVZuFwuPB4PhmGg6zo2my2lapaJY6TypRAbm/ToUxAMBmlububdd99FURR++7d/m+3bt885kyVViRun8PE4/Hzj+3a7Hcuy0HU95XsAiZusbrebrKyslK8AhBDpSXr0i9A0jZMnT/LBBx9gWRb19fU89NBD5OXl0dHRsaygD4VC9PT00N/fj91up6Ghgc2bN8/qeZumycDAAJcvX8Zms/Hss89SWVmZvNm6EJvNhqZp3Lhxg/fff5+xsTHcbvesWTeWZSW/CEpLS8nJyVny6xBC3Bsk6BcxMTHBT37yE06fPs3jjz/Os88+S15eHsCyF0hdv36dn//85wwODlJSUpK8CZvo4VuWRSQS4ejRo/z1X/81hw4d4nvf+x65ubkp9c7dbjehUIg33niDt956C7t99q/ZNE0sy6KkpIT77ruPr33taxw8eHBZr0UIsf5J0C+gp6eHEydO0N3dTX5+PocOHeJTn/pUMmx9Ph8OhwO73Y7D4cDrzZhxtgXM3fMOh8MMDQ0xPT2NqqoUFBTMuqGbmNseDodpa2vD7XZTWFiYcrt1XcfhcFBRUUFZWRmFhYXY7fbkF5NlWViWRU5ODjU1NeTn5y/5vRFC3Dsk6Bdw+fJl3njjDcLhMPX19VRUVOB0OonH4zgcDsbHx4lGo8TjcWKxGJOTE8lzLZR5Yv7jcXe3200kEgFI3sxNDAPF43HC4TCapuHz+YhEIpimmfLsnlgshtfr5amnnuKFF16QFa9CbHAS9POIx+PcuHGDY8eO0d/fz6VLl7h8+TI+nw9N01AUhXA4TGdnJ6FQiNbWVi5fushPXnudp7/85+zfu4VyJ9h+k/aJG6RAslxCojyB3+8HoKuriyNHjnDq1ClM06StrY1wOMzRo0f5n//zf/K5z32Obdu2pRz4NpstOaNHCLFxSdDPQ9M0MjMzqaqqIiMjg0gkQkdHx6xxeV3XCYVCaJpGNBpFj0XwZAfYNxUman48eJMwcxFTb28vQ0NDTExM4PP5aGlpISsri5aWFs6ePcuZM2cAGBsbIx6Pc+7cOSYnJ6mvr6ehoWHWl8ZcEj9LtkvXbxunF0JsHPLpn4fH4+Gzn/0sDz/8cHJqY2JoxbIsHA4H7e3tfP/73+fWrVuUlpZy6NBzPPHEU2TmFuB2/XtvPmFiYoJjx47x85//nF//+tcEg0FaWlpobW0lNzcXr9dLTU0NTU1NRKNRjh8/zq1btwDo7u4mGAzKIighxJJJ0M9DVVVycnIWnHaYk5PD22+/zcTEBIWFhWzbvoOystLf/PTjm7Ezb8nG43GuXr1KZ2cnAKWlpeTm5ibr5GRnZ7Nt2zbq6+uJRCI4HA56enro6uqirKwsWVNHFkCtLcMw0DQNu92e0pWSpmnouo7L5Vr2Kmoh7oQE/R2YmJggFouhaRqxWIzpqakZP1Vm/N+PRaNRRkdHcTgc7Ny5k127dlFVVYWmabhcLnJzc6mvr6ekpCS5Stbr9TI5OUlWVhZ1dXUSFGvIsiwMw2B8fJyxsTEKCgpSWn8wNTXFyMgIubm5+P3+lFc2C7FSJOjvgGEYhEIhpqenk2P1czFNk56eHi5fvozdbmfbtm1UV1ezc+dOSktL0TQNVVVxu91kZ2cDH99ILS0tTZYXttvtBAIBCYg1pOs6/f39nD59mgsXLvD000/z4IMPLnrezZs3+eCDDygtLaWuro4tW7bgdrtXocVCfEyC/g64XC7KysqIx+OUl5eTmZk553GGYXD+/Hmam5vxeDxs3ryZvXv3smnTpgU/8B6Ph9LS0nl/PhfLsjBNM7mrlIzprxxd1xkdHeXixYv86le/oqGhIaWg7+/v5+TJk8nfd1VVlQS9WFUS9HegqKiIr33ta8RiMZxO57xbABqGQUtLC83NzezevZvy8nIqKytxuVwr2p5EyIfDYaampohEIui6LmG/glRVTU5bTXUYTVXV5Hi+DL2JtSBBfwdcLtecO0LNN7zidDqTN3hXOuTh4+Ge7OxsHnroIfx+PwcOHKCoqEjCZYUkboTbbDZsNlvK7+snz5HhN7HaJOhX2FwfYpvNlhyXLSsrW/bWg4txOByUlpbyJ3/yJxiGkexFSvVKITY2CfpVYLPZ2L17N7W1tfj9/rtaKTJxU1cIIRIk6FeBqqps3rx5rZshhNigZPBWCCHSnAS9EEKkOQl6IYRIczJGf5etxhx2ma4nhFiI9OjvotVaqLTeFkTJF89s98r7ca+0Uyyd9Ojvoo34wVEUBYfDgc/nS7v5+263m4yMjCVXoUxsMuNyufB4PPh8vrvYyuXz+Xw4nU4pupaGJOjFirEsC03TGBoa4vLlyxQXF+NwONKi5o7dbicUCtHR0UFfXx/xeDyl1xSNRhkaGmJ0dBSXy8XNmzcJBALk5OQQj8dXoeWp8Xq93Lp1i76+vmRF1nv9dyb+nQS9WDGWZREOh/nggw/41re+hdfrTfYM7/XQUFUVTdOYnp5maGgI0zRn7TY2l8nJSc6ePcuxY8c4c+YMbrebCxcu8Oabb+JyuTAMY5Vavzi73c7U1BQtLS1UVFSwe/fuRV+fuHdI0IsVk52dzac//Wm6u7tv2yTlXg76xOvQNA3TNHG5XMTj8UWHNxKrlN1ud3Loxuv1kpmZue6CPlF4rb6+nq1bt7Jz505yc3PXullihUjQixVTUFDAV7/6VaamptKukJrdbiccDtPd3c1HH33ElStXFg16n8/H9u3baWlp4cqVKxQUFLB9+3Z27txJVlbWvPsXrAVVVYnH40xMTFBeXs6BAwfS7ne4kUnQixXjdrupq6tL7rGbTux2O8FgEI/HQ3t7Ozdu3Fg06BVFISsri9zcXAKBAEVFRVRWVrJt2zYCgcC6GqOHjzfI0TSNjIwMCfk0I0EvVozNZpt385V04PV6mZiYWHIQJoZvfD4ffr+fgoICPB7PXWypELPJ17YQKUrcgF3qLKLEsYlz0+1qR6x/EvRCpGi500RnnpcOU03FvUeCXggh0pwEvRBCpDm5GfsbkUiEaDSaHEeFj2dN2O12vF4vDodjjVsohBDLI0H/G2+88Qavvvoq/f39hMNhVFXF5/NRV1fHn/zJn7B3795Zxy91nPWTU/E+ef5cU/VSOUYIIRazoYPeMIxkXZbDhw9z7tw5PB5Pcs/Vvr4+xsbGqKysxDRNamtryc7OTq6UTCXsE+Eci8UwTRNVVbHZbLMKfiUeyzCMZI0Rl8uFzWab9RyWBZL1aydxI9UwDAzDSHn2zCfPkZuxYrVt2KA3DIPJyUnefvttXn75ZVRV5bnnnuPLX/4yu3fvJhqNcvjwYX784x/zyiuv8MEHH/CXf/mX7Nu3D6/Xm3ycVHvZw8PDhEIhMjMzycrKuq2CoWEYhEIhhoaGiMfjVFZWkpGRMevxJR/W3sywTzWwE1MqJeTFWtmwQa9pGm1tbVy4cIFr167x+OOP8/zzz7N3795kXZKDBw8SCoVoa2ujvb2d69evU15eTlVV1ZKea3p6mtOnTzMwMMCWLVuora29Leinpqbo7Ozk7NmzhMNhXnzxRTIyMmYdoyg6w8PdvPPOCXp6+olGI8TjcQzDmPMLxzRN7HY7mZmZ3H///ezfvx+Xy7X0N0sAHy8I8/v9bN26lXA4TElJSUrnFRYWsnv3boqLiykpKZH7PWLVbdig13WdoaEhNE1j69atPP7443z605+e9SEsKiriySef5OjRo1y4cIGenh4GBweXFPRTU1O0tbVx9uxZRkZG8Pl8lJaWJn9ummayhsqFCxc4f/48qqoSiUQ+8UgWoNHbe4X/9b9e5uTJc5imDpAcBvpkb9E0TZxOJyUlJaiqSmNj44YKetM0k0Mm8/WkLcvCZrNht9tRVXXBKzS73U5ubi579+6ltLSU6urqlNpRVlbGQw89hN/vJz8/X4JerLoNG/Rut5vdu3dTVFTEiy++yObNm5Nj8zNlZmbidDqTtdZ1XV/S8xw/fpy33nqLQCDAwYMH2bdv36ygj8ViXLlyhY8++ohLly6xa9cuDh48OOuYmUzTIB6PkZubS13dFh577DEaGhqSlRVnsiwLVVXxer1s3bp1zteXztrb23n33Xc5ceIEHR0dyWGXmeeLKH4AACAASURBVBU1I5EIu3fv5otf/CLbt28nJydn3sdTFAWv10tZWRkFBQUpv595eXlkZGTgcDhwOp2zyifMbM+dWKnHEelpQwa9ZVnY7XZKS0vnDVSAYDBIc3MzAwMDAPj9/iXXcrl58yYffPABL774Ig0NDdTU1Mz6oGuaxsDAAG1tbXR2dvL888+zc+fOZDtnf3gVFEXF6XRSVFTEvn37+P3f/31qamqW1KaNoq2tjTfffJOzZ88yPj5OTk4OTqcz+YWYqJ9fWFhIOBxetGywoijYbDa8Xi9erxfTNBkeHqa1tRWv18vOnTvn3FVrcnKS7u5usrOzCQQCZGdnJ49TFAXTNInH44yPjyevMhPtm0vi391uN1lZWeTn5982zCfETBsy6FPt+Zw+fZq///u/5/Tp0xQWFlJbW7vgF8NcHA5HsoBV4orA6XTOaovNZsPhcOBwOGZdMSzUzkQ4BIPBJbVno9A0jVu3btHR0UFTUxOPPPIIn/rUp8jLy0tWjUz08D0eD4FAYMlXPOFwmObmZr75zW9SWVnJyy+/nLxRP/NL+uTJk/zDP/wDe/bs4ZFHHmH37t2zbujruk53dzdvvPEG//f//l+Gh4ex2WzJIadP/h2Ypomu69TU1PDoo4/yB3/wB+zevftO3i6R5jZk0M9H0zSuXr1KW1sb3d3dvP/++8nhlMcee4w9e/aQl5e36OPM/HDa7XZ0XU+G/CeHVxIBDx8P46Q6NJQIKSmQdTvTNAkGg4yOjjI+Pk5RUREHDhxgz549K/L48Xic4eFhzp8/z8WLFykvL2fHjh23TZmdmJjg3LlzXLp0KVmm2O/339brN02TaDRKV1cX169fx+VysX//fvx+Py6X67bfcWIGT0lJCVu2bEnriqFiZUjQzxCLxTh27Bg//elP+fDDD5PTHF944QU+//nPz9pxZ6FpcjN7YIZhJDeHnmvT5cQXgKIouN1u7Hb5ldwpwzAIBoOEQiEMw8Dr9eLxeIhGoytyn2JqaoqrV6/y+uuvMzw8zF/+5V9y4MCB245rb2/n29/+NiUlJfz2b/82jY2NFBUV3XbczKs6RVF4/vnn+Yu/+Au2bdsmQzJiRUiqzOByufjUpz5FUVERn//854lEIsRiMS5cuEBLSwu7du2iqamJHTt2LLpgqru7m5///Of09vby7LPP0tTURHl5eTLILcuis7OTq1evcunSJXJycvjCF76QHJ9fjM1mS47RitlmBr1pmuTk5FBaWrpiN6NN0yQWizE9PU0kEpn3d6BpGmNjY+Tl5eHz+WYN1yzE4XDg9Xol5MWKkaCfweFw0NjYSGNjY/Lf2traeOmll3j//fdpaWnBNE3q6uoWnSLX3d3Nj370I7Zs2cIXvvAFGhoayM/PT/5cURS6urq4cOECbW1t7Nq1i2effXbBWR+/ORNFUYhGowwODnL58mXcbjfxeHzWTUZFUZJlHAKBwIa6UtB1nYmJCaLRKHa7nWg0Sm9vL+Pj46iqmnx/XC4Xubm5S94EJPHeJq7O5ruJmzgmMcSW6mIpTdMIh8OEQiEJe7EiNs6nf4alTEUrLS3lxRdfxOFwcOLECc6cOcNjjz1GRUXFgmGvaRoTExPouk5GRsacvUlFUdB1HcMwcLlcKYT8v2/i3NfXx7/+679y5MgRPB7PrDrnMxdKPf3003z961+nrKwspdebDjRNY3h4GMMwyMjI4Ny5c9y8eZOLFy8yNjaG0+nE5XKxfft2/vzP/5wHH3xwSVMTE/dVDMMgFovNCvqZf1tOpzN5f2YpK2mFWGkbMugVRSEej3Pz5k3Gx8dRFIWKioo5Z9R4PB527txJR0cH7777LsPDwwSDQTRNWzDobTZbcuzd4/EkV8L29vYyNTXF2NgYp06d4saNGwwMDNDZ2UlrayubNm1aZFGThWUlLu/dFBYW4vf75wx6r9dLXl7ehurNA0Sj0eSMm+HhYSoqKpLz3/Py8lAUhe7ubi5dusSrr77K8PAwDzzwAPn5+QtuEWiaJpFIhK6uLnp7eykoKKCkpGTWKmdFUTAMg+HhYW7cuEFVVVWyRlKqvwe73Y7b7U55qEeIxWysBJghGAzyxhtvcPLkSSzL4nd/93f5rd/6rds+6KZp4na7yczMxOVyYbfb57yp+kmJxUpAMvCDwSAffvgh58+f5+bNm/T19TE6Osr09DS6rpOVlcVzzz3H9u3b531c07TQdZ3i4mIeeuhBvvSlL/HAAw8ki6Z9UuIm30aiaRqDg4N0dnYyMTHBli1b+KM/+iNqamrw+/3EYjFee+01Xn31VX7wgx9w8uRJvvGNb3BfUxO5C8yqisVitLW1cebMGS5fvszWrVvZu3fvrCG5xHH//M//zPXr13nggQdobGyktLQ05VXJiRW9uq5vuN+duDs2bNAnetrhcJgbN25w//33E41Gb+tFqapKb28v7e3taJqGx+NJrnKcS6KGzrFjxxgZGaG1tZXDhw9z7do1LMuiq6sLwzDIzs5mamqKkZERBgYGiMVi5OXlsW/fvgWD/uNSCFZy4U5iuudGKm2wGL/fz5NPPklFRQUTExM0NTWxdevW5DREl8vFo48+mlysFpye5r1338Wbk8MDeXnM907qus7IyAhdXV309fXR1NTErl27bvubsdlsXLp0iZ6eHg4dOkRDQ0NK90kSM7OOHz9ONBpNLvCaebWW6BBs3bqVAwcOsG/fvjt+v0T627BB73K5qK+v5/Lly5w7d45bt27R3t5OTU3NrPH0UCjEmTNnuHDhAj6fj5KSkgUvwxNVL9955x1M02RsbIyPPvqI5uZm/H4/RUVF1NTU4HK5aGtrw2azMTAwkKx5k1gVuRhZMDW/rKwsHn74YR5++OF5jykqKuKZZ57h6tWrHPv1rzl16hQVO3ey84EHcDD31muJ39Hk5CTT09NkZGQkb5bquk48Hsfr9TI6OkpnZycjIyPYbLbkleBibDZbsmMxMjIyZznsWCxGYWEhBw8eTK6OFmIxGzrod+3axZUrV/jXf/1Xjh8/Tl5eHl/72tdmjdW3trby+uuvc/bsWV544QUeeOCB5HS6uW7qWpbFsWPHuHbtGo2NjeTn55OZmYlpmmRnZ1NfX8/WrVvJzc2ltraW4uJi8vLyMAyDuro6CgsLV/V92MhcLhd+vx+Hw8HAwADDU1OEgCzmDnq73Y7D4UgWQJu5wrmrq4sTJ04AH5c8GBwcZHp6ml//+tfJ2VxzLZaaKVGJ9IEHHuB3fud3kqWqZ97sTRSqCwQCFBcXr9A7IdLdhg16m81Gfn4++/fv59ChQ1y/fp0TJ04QCASor6/HsixGR0dpa2vDsiwOHDjAU089RWNj45y9s0Svq6uri6mpKfLy8njssccoLi5GVVXi8Xgy6CsrK3G73WRkZJCZmUlJSQmGYZCfny8f3jukaRqjo6O0t7fjcrkoLS0lJydn3qEtl8uFTVUJh8OE43HiwHxrjScnJxkdHWVycpJwOEx/fz/j4+OEQiGuXr3KmTNn0HWdaDTK9PQ0IyMjHDlyhIyMDEpKSpILt+aTWPFaXV3Nk08+SV1dXUqvWQqaicVs2KBPaGpqora2lh/96Ee8+uqrfOMb32BiYiI5Bl9SUsIf//Ef8/zzz1NWVnZbHfkETdNobm7m9OnTVFZWcv/993Po0KHkIqnEhzFxMxfA5/OxdevWZFGyxNRJsTyJ0gfHjh3jb/7mbygsLOQLX/gCjzzyyLzTSxPz29XfDJMAfDIyLctibGyMtrY2Ll++THt7e7IEgsvlIhaLMTAwkCwtHY/HURSFUCj08ZBQRQUPP/xwynWSEouxwuFwSjNvJOTFYjZ8qiR69o899hgOh4ObN28yOTmZ3PKvsLBwzt7VJ+dEx+Nx3nnnHY4cOcJTTz3Fww8/TFVV1YKrMRVFmVXrRtyZxA32RPh2dnZy4cIFduzYMWfQK4pCOBzGBAqLiynLziYfcM5xXF9fH5cuXeLcuXMMDAzg8Xjo6upC0zRUVaWoqIgnnniC7OxshoeHmZ6eJhaLEQ6H8fl8S/4Cn3kDVog7teGDPmHbtm1s27Zt2efH43HOnj3L8ePH+dM//dNVu0kmYfDvEvWCqqqquP/++2lpaaGlpYWuri527tx5W893aGiIgYEBVFVl586d1JeVkT3H4xqGQX9/P21tbfT19eF0Oqmvrwc+rnuTGCJ64YUXksN0k5OTZGRkoOs6u3btIicnR67WxJqRv7wVoqoqOTk5FBUVLXlJfeosdF1jcnKKiYlwsmiXmK2oqIjHH3+cnp4ejh49Sm1tLTU1NclwBmhubua1117j/fffp7i4mBdeeIE9c5T6tSyLqakpgsEgTqeTHTt2UF9fzzPPPIPNZiMWi2Gz2SgoKEium3A6nTzzzDMcOHAA0zQJBAIUFBTMunkrxGqSoF8hTqeTAwcO4Ha7b1tAs3JUsrLyOHDgAMFglLq6OilROwe/309TUxPXrl2jtbWV1tZWXnvtNZqamigqKiIcDnPkyBFOnTpFIBCgqamJpqYmAoHAbY81OjpKa2sr/f39+Hw+HnnkEfbv3z9v/ffEvZhNmzaxadOmu/1ShUiJBP0KcbvdfP7zn+fQoUNkZ881AHCnFMBJVdU+vvnNGkzTwu12z3tzeCNzOByUl5fzla98hb179/L//t//41vf+haqqmKaJqqqkpeXx549e/j6179OU1PTvF+Y7e3t/OpXv0qWUnjiiScW3DNYboyK9UiCfoWoqnqXAv7fWZaC0+mhqMjziX+X6XWfZLPZKC0tJSsri+HhYfx+f3JBms1mo6ysjD179tDU1ITf75/3ccLhcPLmqqIoKW08s1SJ6paxWCy5j60UQRMrSYL+HjJflkvIzy8zM5M//MM/5A//8A+Xdb7H4yEvLw+n04nX601uQ7iSEmWP3W43qqri8XhSqqckRKok6IVYQHV1NZ/97GeJx+NkZWXdlaEyu92e3IWqoaGByspKqqqqpH6RWDES9EIsID8//7ab6ys5VJaocur3+9m/fz/79+9fkccVYqb5i28LIeYkQyriXiNBv0zyYRdC3Csk6O+AhL0Q4l4gQS+EEGlObsaukkSVRPh4zn0qVwOmaaLrOjabbcE65kIIsRAJ+lWQqG0fjUZxuVyzdiZayPT0NLdu3SIvLy/lErfi3iLDf2I1yNDNKjAMg9bWVk6fPk1bWxvj4+Mpndfb28vPfvYzLl68eJdbKIRIZxL0q8AwDM6cOcMvf/lLLl68yPDwcErn3bx5k//9v/8377///l1uoRAinUnQrwLLsgiFQskt6FLdADwWizE+Ps709PRdbqEQIp1J0K8CRVFwOp24XC4cDkeybvlibDYbDodDlsILIe6IBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNSdALIUSak6AXQog0t66CXlXVtKzpYrPZUFU1WeMm1WXvifdClskLcW9LbA25Vp/ldRH0iT0zHQ4HmZmZa92cFWe323G5XCntAzpzQ2i32w2A0+m8q+0TQtxdXq83uYZmLcJ+zYuamaZJLBZjcnKSnp4e/s//+T/k5eURjUbXumkrwul0EgqFOHr0KNPT01RVVaHr+rzHK4pCOBympaWFX/ziF1iWxdmzZ3nllVcA7srm1EKIuyMxSnHu3DmuXr2K3W4nGo3O6tCthnUR9JFIhJGREc6dO8eJEyfScqjCsizKysrYvn37omE9NjbGd77zHd566y1M0+TIkSO88847q9RSIcRKsywLh8NBIBAgHA5jmuaqPv+aB72qqrjdbnJyctixYwfPPPMMOTk5adNzTXyDf/DBB+i6jt/vx25f+G3Pzs7mi1/8Ig6Hg1deeYWmpiaef/55gAWvBoQQ64uiKNhsNq5cucLVq1cpKCjA7Xavemd23QR9IBCgtraWb3zjG2lZ2+Xv/u7vuHjxIoFAYNEx98zMTJ555hkUReHVV1/l4MGDvPTSS6vUUiHESjt+/Dg//OEPKSoqwuv1plzvaqWsi5uxlmVhWRaGYaRNT36mxGubuctUKhK999W+zBNCrCxd1zEMI5l1q21dBD2Q1kEfj8fRdT0Z9Kn+ohPljA3DuJvNE0LcZfF4fMkdvZW0boJeCCHE3SFBL4QQaU6CXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6FdBYupo4j+pTrEyTRNN02Q1rBDijkjQr4LEMmiHw4Hdbk95VZzNZsPlcuFwOO5yC4UQ6WzNSyBsBIqiUFpaimmabN68mUAgkNJ5BQUFPPHEE2zduvUut1AIkc4k6FeBzWajtraWgoICKioqUg76kpISXnjhBRoaGu5yC4UQ6UyCfhWoqkpDQwOmaSaHb1JRUlLC5z73ueQGJEIIsRwS9KtAURS8Xu+SzrEsC6fTmXLvXwgh5iM3Y9epdNx8RQixNiTohRAizUnQCyFEmpOgF0KINCdBL4QQaU6CXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNyVaCYkPo6Ojg9ddfxzRN9u3bR11dHYWFhWvdLCFWhQS92BD6+vr4x3/8RwzDQFEUCgoKJOjFhiFBLzYEVVVxOp0YhoHNZpM9ecWGIkEvNgSPx4PL5cIwDNxuNx6PZ62bJMSqkZuxYkOwLGvO/xZiI5AevUgbpmkyNjZGc3Mzhw8fZmxsDJfLBcDg4CCtra1YlsWrr77K8ePHCQQC6LpORkYG5eXl3H///ezZswdVvb3/E4lEmJycZGBggKysLKqrq1f75QmxbBL0Im1YlsXU1BTNzc388Ic/ZGBgAIfDkfyZYRgADA0NceLECQA0TSM/P5/du3eTn5/Prl27bgt6y7KYmJigra2NCxcuUF1dTVVVlYzzi3uGBL1IG6qqUlhYyKFDh9iyZQuRSASbzQbA9evX+eEPf4hpmjz00EPs2rWLiooKDMPA4XCQnZ1NRUVF8viZLMtiYGCAa9eucf36dTIyMlb7pQlxRyToRdpQFIWMjAyqq6tvG1q5evUqv/jFLzAMg6amJp577rklTa8MBoOMjo4yPj5OJBJZVvt0XWd8fJxbt24RDAZn3ScwTZPMzExKSkrIzc3F6/Uu6zmEmIsEvdgQpqen0XUdwzCIRCJMTU0tKehVVcVut2Oz2eYcw1+MZVmEQiE++ugjvvWtb3Hx4kVM00yGfSQSYd++fXzpS1/iySefZMuWLUt+DiHmI0EvNgRN0wiFQui6TiwWQ9f1JZ2fGI+/k3F5h8NBaWkpjz/+OLW1tViWlQz6eDxOdXU1tbW1ZGZmLvs5hJiLBL3YEOx2O9nZ2cl59HONxd9NiqLg9XrZs2cPe/bsWdXnFkKCXmwINTU1/Lf/9t+wLIuKigopfyA2FAl6sSHk5uby6KOP3tXnSAzDyLRLsd7IylghVoCmaQSDQeLx+Fo3RYjbSNALsQJu3rzJ9773PT766KO1booQt5GgF2IFXLp0iZdeeom33357rZsixG0k6IVYAbquo2kasVhsrZsixG3WPOhnrg5UFGVZi1GEuJtUVU3+Z74brXa7HbvdjtvtXuXWiXvBWu+BsG5SVVVVXC4XWVlZa90UIW7j8/mS8+/n+sAmFj8lqmUKMVNGRgZOp3PNOrJrPr1SVVUMw2BsbIyuri6+//3vU1BQsOx6IkKsJLvdjqZptLa2cvPmTUZGRuYcnkmURzh16hT/8i//gmVZMgNHYLPZsNvtfPjhhzQ3N7Nnzx5M01z1dqx50NvtdlRVZXx8nHPnznHq1CkZvhHrjmEYuFwuSktLefDBB7Esa1bP3ul04nQ6+cUvfsGvfvWrNWypWI8SJbI3bdq0Jvm25kGfkZFBfX09f/qnf0pbWxuGYWCapiw6EeuCzWZD13V6enoYGhoiHo/jdrtv+/vUdR1d19m5cyef+cxnsCxryfV0RHrLyMigsbGRhoaGVb+Xs+ZB73a72bx5M5s3b17rpggxr3PnznH8+HHOnz8/Zz36eDyOpml85jOf4a/+6q/WoIVCzE/GSIRIgWmaKY2trsX4qxCLkaAXYhGmaRKPx9F1fVYN+ZkSQzkyXCPWIwl6IVbAXOEvxHohQS/ECjAMA8Mw0DRtrZsixG0k6IVYAR6Ph0AgILtDiXVpzWfdCJEOdu3axd/+7d+yffv2tW6KELeRoBdiBWzatIk/+IM/kMV+Yl2SoBdiBSSKngmxHslfphBCpDkJeiGESHMS9EKkIDF1MrFwSoh7iQS9EClwu91kZWWRnZ2N1+td6+YIsSRyM1aIRSiKQmlpKY2NjbhcLiorK9e6SUIsiQS9EItQFIWcnBxqamrIzMwkKytLymiLe4piSZEOIRaV2CowseGITKUU9xIJeiGESHPSLRFCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFuEMyQ1msd7IyVqSFeDxOMBhkamoKu91OQUEBTqdzwXN0Xaenp4eJiQk0TcM0TVRVxeFw4Pf7KSsrw25f/COiKAqapjE5Ocno6CjRaJSioiJycnJwOByLrqK1LAtN0xgdHWVwcJDs7GwKCgrweDyyMEusCAl6kRZ6e3v56KOP+OCDDwgEAvzH//gfKSkpWfCcwcFBvv3tb/PLX/6SiYkJotEobrcbv9/PU089xUsvvbToYySMjo7y3nvv8corr9Da2sqf/dmf8fzzz1NcXLzol4Wu6/T19fHjH/+Y7373uzz99NN89atfpa6uTgqoiRUhQS/uOYkyBAnhcJjjx4/zk5/8hN7eXnbv3k08Hp/3fMMwOH/+PO+++y7Nzc243W4efPBB3G430WiUmzdvcunSJf7xH/+RT3/60+zatQubzbZgm5xOJ36/n3A4zI0bNzhz5gx1dXUUFBQsGvSapnHt2jXOnDnDrVu3mJycxO12S29erBgJenHPmRnywWCQ5uZm/u3f/o0333yT6upqAoHAgsE8MTHBP//zP/PTn/6Uuro6vvCFL/DlL385GfTf//73eeONN/jud7/L8PAwVVVVBAKBBdsUCAS4//77eeihh+js7KS7u5vm5mYOHDiAy+Va8NxoNMrFixcZGhpi8+bN7Nq1i02bNuF2u5f2xggxDwl6cc86ceIE77zzDkeOHOHkyZPJf19oTHxiYoJLly7R1taGoig8/vjjPPHEE8lQdbvdPPnkk4RCIa5fv05bWxuXLl1i165d+P3+BduTnZ1NZWUlZWVlDAwMcO3aNUKhEJmZmQueNzU1xeXLl4lEIjz88MM0NjaSkZGxhHdCiIXJtaG455imyY0bN3j99dd5/fXXaWlpwbIs/H4/GRkZmKY577mDg4OcOXOGsbExiouLaWpqYvPmzbOOqamp4b777qOkpISxsTHOnDnD0NBQSm2rqqpix44dxONx2tvb6enpWXAYKRaL0d3dTXt7O6qq8uCDD7Jly5bU3gghUiRBL+4577zzDn/7t3/Lq6++it1u59vf/jb/43/8Dx555BECgQCaps075bG/v5+LFy8Si8UoKSnB4/HMeZzH46GkpIRoNMqFCxfo7+9PqW319fU8/vjj+P1+ent7OXPmDF1dXfMe39HRwblz5xgYGMDlciWHnoRYSRL04p7jdrspLS3l4MGDfO5zn+P5559n//79FBYW4nQ6F+zRRyIRJiYmcDgc5OfnLxj0eXl5OBwOJiYmiEQiKbWtoKCAuro6ysrKMAyDy5cvc+vWrTmPNU2TtrY2rly5gtfrpbq6msrKSrKyslJ6LiFSJWP04p7zwAMPcN9992GaJk6nE0VRiMfjRKNRDMNY8FxFUbDb7WRkZJCZmblg0GdlZZGRkYHD4Uh5BoyiKPj9fmpqahgYGKC1tZWOjg7i8fht8/pjsRhtbW3cunWLmpoa9u7dS3FxsexeJVac9OjFPcdms+FwOHC5XMlQTPz3QqtUTdNkenqaoaEhIpEIdrt93gBXVRWbzUYkEmFoaIjp6ekFrxRm8vl8bN26laKiIrq6uujo6GBycnJW2yzLYmJigps3b9LX18eWLVvYvn37oou8hFgOCXqRFhIhulBvWNd1QqEQo6OjhMPh5NaACz1eOBxmdHSUYDCIrusptcXlclFXV0d1dTVTU1P09PQwMDBANBpNHhOJRBgYGKCnp4dgMEhNTQ2bN2+WcgrirpCgFxuGZVmYpplyz3zmOUsJYJvNRkNDA42Njfh8PsbGxrh58ybT09PJY6anp5M9fY/HQ3FxMfn5+TJsI+4KCXqxYdhstuTY+2KLmBJcLheZmZlLWqmqqio5OTlUV1dTXl5ONBrlypUrjI2NJY/p6uri5MmTqKrK9u3bKS0tnTUUJcRKkqAXG4bdbic7O5vi4mJ8Pt+ivXTLsvD5fBQXF5OdnZ1SgbOZ8vLyaGhoQFVVLl26lJyLbxgGLS0tHD58mEAgwLPPPktZWdmyX5cQi5GgFxuKqqooikIsFiMUChGLxeY8LhqNEgwGAfD7/fh8viU/l9/vZ8+ePXi9Xq5evcrAwACxWIyRkRF6e3vp6+sjLy+P7du3L+vxhUiVBL3YUGw2G06nk0gkwtjYGKFQaM7jEjdtDcMgJydnWSUJMjMz2bVrF4WFhYyMjNDT00NnZyft7e2MjIzgcDgoKiqitLQUh8Nxpy9NiHnJPHqxoRQWFtLQ0MDg4CB9fX1omjbncZqmJVfDlpSULCvoPR4P1dXV1NXVcfbsWVpbW/nFL35BPB5nZGSE4uJiysrKyM3NXfKwkBBLIX9dYkMpLCxkz549nDt3jo6ODlpbW6mpqSE3Nzd5zMjICK2trQwODlJdXc3WrVsXLWg2F0VRyM7Opra2li1btjA4OMjw8DCGYaCqKrt376a6ulrmzou7ToZuxIaSn5/Pvn37KCsrY3x8nDfffJN333131jFHjx7lrbfeYnx8nPLycg4cZyAQswAAAg9JREFUOEBeXt6yn7O0tJRt27ZhmiZXr17l1KlTmKbJU089JQXMxKqQHr1IC7quE41GCYfDxGKxeWfUqKpKUVERzz77LABXrlzhH/7hH7hx4wbZ2dlMTk5y/PhxpqameP7553nmmWcoLCxcdOORhZSVlbFnzx5Onz5NV1cX4XAYp9NJXV3dHX2BCJEqCXqRFux2Ox6PB6/Xi9vtXnA+usPh4LOf/Sy1tbX89//+3zl8+DBvv/12cucqn8/H008/zX/6T/+J+vr6O25bfn4+O3fupLCwMFljp7S0NKV9bYVYCYola65FGujt7aWjo4NQKITf72f79u2L3kCNRqN89NFHtLe3E4lE0HU9+YVRXV3N/fffn/LCqsXE43HOnj3LrVu3UFWV6upqGhsbJejFqpCgF0KINCc3Y4UQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqwDS90UZylkwZQQQqyxeDzOxYsXsdvt7NixY8WL3EnQCyHEGguF/n97d2zDIAyEYfRqT8AGzMC+noItGIANoLLS2E2q9IlEBDq9N8RX/MXdK2qtUUqJeZ6FHiCbfd9jXdeYpunrJ/S/sNED3Ki1FsdxRO/9bz+DnUAAuNEYI87zjG3bopQSy7JcPt0IPcDDfC6pXsV0A/AwV084Qg+QnNADJCf0AMkJPUByQg+QnNADJCf0AMm9AXacM+mgTWvMAAAAAElFTkSuQmCC)
physics-General
physics-
The variation of electric potential with distance from a fixed point is shown in figure. What is the value of electric field at
=2 m.
![](data:image/png;base64,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)
The variation of electric potential with distance from a fixed point is shown in figure. What is the value of electric field at
=2 m.
![](data:image/png;base64,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)
physics-General
Maths-
The integrating factor of the differential equation
is given by
The integrating factor of the differential equation
is given by
Maths-General
physics-
As shown in figure, if the point
is earthed and the point
is given a potential of 2000 V, then the potential at point
will be
![](data:image/png;base64,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)
As shown in figure, if the point
is earthed and the point
is given a potential of 2000 V, then the potential at point
will be
![](data:image/png;base64,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)
physics-General
physics-
The equivalent capacitance between points
for the combination of capacitors shown in figure, where all capacitances are in microfarad is
![](data:image/png;base64,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)
The equivalent capacitance between points
for the combination of capacitors shown in figure, where all capacitances are in microfarad is
![](data:image/png;base64,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)
physics-General
physics-
The effective capacitance between points
is
![](data:image/png;base64,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)
The effective capacitance between points
is
![](data:image/png;base64,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)
physics-General
physics-
A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is
The capacity of the unit is
![](data:image/png;base64,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)
A gang capacitor is formed by interlocking a number of plates as shown in figure. The distance between the consecutive plates is 0.885 cm and the overlapping area of the plates is
The capacity of the unit is
![](data:image/png;base64,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)
physics-General
physics-
A parallel plate capacitor with air as the dielectric has capacitance
A slab of dielectric constant
and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
![](data:image/png;base64,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)
A parallel plate capacitor with air as the dielectric has capacitance
A slab of dielectric constant
and having the same thickness as the separation between the plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be
![](data:image/png;base64,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)
physics-General
physics-
Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points
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![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaEAAAD9CAYAAAAVk8j6AAAgAElEQVR4nOzdWXNb15U/7N+ZcQbMAEGQhChKlCiZmuIhVpx2J5Wu6vRw2Zf9BfrDpaovOhdv36TfxHGcxINkS9ZAifOMeR7O+L+Q9xZIkRJJSQBIrqdKZVkCwIMj4Kyz1157bSEIggCEEELIEIjDPgBCCCHnFwUhQgghQ0NBiBBCyNBQECKEEDI0FIQIIYQMDQUhQgghQ0NBiBBCyNBQECKEEDI0FIQIIYQMDQUhQgghQ0NBiBBCyNBQECKEEDI0FIQIIYQMDQUhQgghQ0NBiBBCyNBQECKEEDI0FIQIIYQMjTzsAzgrgiCA67pwXRcAIEkSFEWBIAh7HgNgz58RQsh5RkHoLfm+D9d10W630el04DgOBEGApmkwTROhUAi2bSMIAiiKAkmSRiYI9e/sPirHRAg5XygInVAQBOj1eigUCtjc3ESpVEKv14OmafyXaZqQZRk7OzvQNA3z8/OIx+NDO2bf9/mxu64L27bR7XYhSRJisRhEkbKzhJDBoiB0TEEQQBAEtNttrKysYHFxEaurq/B9H7quIxqN8tGR4zjo9Xr45ptvYJomcrkcotEoJEka2vH3ej00m03k83kUi0V0u10kEgncunULmqa9k5/BzhEhhLwJBaFjCIIAvu9DFEXk83n87//+L548eQIA+PDDD3Hz5k1YlgVVVQEAnudhc3MTKysrUBQF7XZ7TwrsKD+P/Zdd1N/0/P0X//3/32g0sLCwgL/85S948OABZFnGRx99hKtXrx47CPm+z4+N/fJ9H77v87Tj/nmwIAggADj6WXj9+yOEnG4UhI7JcRzUajU8f/4cjx49QrPZxI0bNzA7O4uLFy9C0zSIoshTXkEQYH5+HoIgwDCMY19EHcdBu91GpVJBu93mKbX9WDAwDAOWZSEajR4YVFjBRKvVwvr6OnzfRzabhed5JzoX1WoVy8vLsG0b4+PjME0TQRBgfX0dQRDggw8+QCwWe3mcngO3W0Ehv4uV1S0UKg20bQ+aqkHT1D3By3EcWJaFmZkZpFKpE50/QshooyB0TLZtY3l5GY8ePUKxWMSlS5fw29/+FpcvX0YkEtnzWEEQEA6H8R//8R/wfR/pdPpY8y5BEMC2bVQqFTx+/Bg7Ozt7Rh/92AgtlUohl8vxean9jzVNE9PT08jlcojH4yiXy7xw4rja7TZWV1fx+9//Ho1GA5999hlyuRx838fvf/979Ho9/Nd//RdisRg/jsDrwWlsY+3x1/j//vfP+PrhIrbKTYylx5BIxKHrOiRJQhAEaDQamJiYwL/9279BURSEQiGatyLkjKEgdEyu62J3dxc7OzsQRRHRaBSJRAKWZUGWXz2dkiQhm83C933IsvzGtNr+km5BEKCqKuLxOIIggOd5Bz6XPTYej8M0TT4a6389VrWXSCT4MddqtUNHV29SrVaxvr6OarUKURQRDoeh6zrq9Trq9To6nQ4vWefHICpQzBTSU9dw7baNxXwLu7VlXLw4jWvXriGRSPDgWavVYBgGEonEnnNHCDk7KAgdk+/7aDabaDQa0DQNhmG8seyazRGx4OH7PlqtFmzbhiiKUFUVqqryggX2WoIg8L+PxWKQJIkHocNGQpZlwTTNV16r//eqqsI0TRiGcWDgPKp6vY5isQhFUZBIJJDJZCDLMk8dBkGwL2AGECUFopXB+IyJO3IcC+t51Fs93L59G59++imy2SxCoRBc10Wz2YTnebAsi1JxhJxRFIROgKXERFGEJEnHShGxyfvl5WXs7u7Csiyk02lkMhmeijro8dVqFaVS6dARFAtMruvykdPrjksUxT0FBUfV/3M8z4Msy0gkEhgbG4NpmlhdXcWXX36JpaUljI2NwXVdfr4kUQRECYAESQ1BC+kwDJMHGTaf5fs+er0efN+HpmmIRqPQdZ1ScYScQRSEjkmSJMTjccRiMWxvb6NQKKBQKCCRSEBRlFcez0ZOrusiFArBMAz4vo9Op4Pd3V1sbm6i3W7Dsiy+mJVhAWJ/N4bD0nGiKMLzvCOl1046qmDl6fl8Ho8ePcLDhw/heR5CoRA2Nzfx5MkT/PDDD1hbW4MkSdje3sbU1BQMw3gxp/PTzxXFF8FblmV4noeNjQ0YhoHt7W14ngfHcZBMJjE+Pg5Zloda1k4IeX8oCB0Dm5+5ePEidnZ28N1332FpaQlPnz5FKpWCZVmvPMe2bWxubvLqMTa3EQ6Hoaoqnj9/Dtd1MT09zcu7++eNWHAxTZOPKg7CRiimafIKvdc5SSECU6vV8PDhQ/zhD3/Al19+iWw2i06nA9/3sbKygkKhgGaziUqlgsXFRYyPj+PChQtQVZUfF3tvrADh22+/xdOnT2GaJgRBQCQSwd27d5FKpXiVIaXjCDl7KAgdk6IoyGQyuHbtGj788EPs7Ozgm2++Qa/Xw/Xr1xGLxaCqKu+o0O12Yds2DMOAoii8YCASiSAej/N5HjaC2d9KR5IkGIaB8fFxxGKxNwYhNtqSZfmVC/f+9Uas0IGl1vY/5jCsTZEkSUilUrh06RIPorlcDqIo8tLsaDQKAK/Om/WlATVNQy6Xw+TkJOLxOGRZRigUwuTk5J75LULI2UNB6JhYi5vZ2Vn8+te/xv3793kKqlKpYHJykpdq93o9AMD4+Dii0SgPDq7rwrIsJBIJhMPhPet59gcASZKg6zpCoRBfLHsQFjxEUeTzPQc9Bni59qjb7cJxHNi2jWazibGxMV7g8LpAxH5WJpOBqqq4c+cOpqeneYD98MMP4fs+FEVBOBzma5b2vOZPQdD3fYRCIXzwwQf46KOPMDExwavjZFmGqqoHpjkJIWcDBaFjYsUI8Xgc8/PzSKVSuHHjBvL5PJrNJmq1GmzbhmVZiMViSCQSSKVSiEajey6m7HX6Rwj7U2T9VXIn7ZiwX6fTQT6fx8rKCtbW1lCv11Gr1bC4uAjTNPno7CD7Oziw1N+NGzcwNzcH3/dfKXRgi2NfphkDAAKCwAfwsnpOURRemMBScuz9vCkoEkJOLwpCx9SfQhobG0MikcDMzAzW19exvb0Nx3EgyzLC4TBSqRRSqRRM0+SpuP7XYRfX141e3tSG57jH7jgOms0mFEXB5OQk0uk0JiYm0O120Ww293Q32M/3fdi2jUajwdcGjY2NIZvNIpFIHOEIAgS+i8DtoVUtYXdzDcX8LsqVCnZ3d5HP5xGPx3nqkhBy9lEQegusPFuWZVy5cgWXLl3if8cCC3vMQcHkoF/vU/+80c9+9jNcvHiRV7YlEok965kOOhbXdVGv17G9vY21tTXouo6xsTH+vDcfAOC7NrxmHvm1Z3j43T0sPHmEtbU1/PDgASzLgmVZ/Hho9EPI2UdB6C2wwMEC0VEFQYBSqYSNjQ3k83l0u13s7Oy8LGM+5nqY/Wmy1128FUVBLBaDYRjI5XJ75pIMw3jj2iJVVZHJZHD79m3+GgdVBR5GEARAlKCoGmLxOG7evImxyQsYz4wjmUweqbKPEHJ2UBAagiAIsLu7i9XVVd67bWtrC/F4HJZlwXEcSJIEWZaPNB/Cesz1ej0+mX9QmxtWYq4oyoGVeGz0dtjPkCQJ4XAYV65cwcWLFyEIAv95RyIIEEQFohZBbCyH6zcN5Gbn4fiA+FPZejqdfrWIgRByZlEQGhJWOTc1NYVQKMT/rFwuI5/PwzRNXLp0if/d6wRBgGKxyBd8plIppNPpV+ZV9k/yH2ftDXscK6boP67jBAxBlCCpFiIJFZqZgB8AAQQEASBJIjRNe6tWQoSQ04W+7UPAmn3mcjlMT0/z0YQoiiiVSnj69CkSiQQPUG8KFkEQoFwuY2FhAfF4nDcyPWhy/6Beckf1TkYngghBEqFKCtSQ+favRwg51SgIDYEkSZibm8OlS5f4hd11XZTLZayurmJnZ4e36jkK3/dRr9exubkJx3GQSqVO3BmbEEIGiYLQEAiCAF3Xoes6/zPWvsZxHN5lgXU1eNMoiG0A1+120ev1eJsbQggZdVSGNCIcxzlxZ24WqNjzqLqMEHJa0NWKEELI0FAQIoQQMjQUhAghhAwNBaEzhhZ5EkJOEwpChBBChmaoQYjKiPfq7wF30uezX4SQ8+c0fv8Htk6o/wLr+/4rvcvOK0EQeO83x3HgOM6xzw17Dd/34bou36jO9304jvMej54QMorYUo3TsBfXQBer9u/s2Wq1zv2q/v4ebo7joF6vo91u8622j/saruui2+2i1WqhXq9DEARauErIOSOKL3owskbAFIR+EgQBms0mVldXUalU4Lou34mTALZtI5/PY3d3F81mk48W3yQIAnieh1arhd3dXbRaLd4zLhwOH7n1DyHk9GML19mWLVNTU4hEIiPdFHigQWh3dxe/+93vsLq6irGxMYiiSHfpP3FdF8ViEe12G5ZlwfM8HqgP224beDkCKhaLWFhYgKqqvAedpmnnfrRJyHnC0vLdbhcTExP47W9/i6tXryIcDg/70A41sCDk+z7a7TaWl5fRbDZx9+5dmKZJcxY/cV0XyWQS5XIZ7Xb7SBvUAS/vfHRdRyqVgmEYmJqaQi6Xg2EYx0rtEUJOv16vhydPnqBaraLT6Yx8NmSgQYhNmmcyGfz2t79FKpVCp9MZ1CGMNNd1USgUsLS0hO+++473kHtTEGI941KpFK5du4Z4PI65uTncvHkTsViMgjwh54goiqjX6/B9H6VSCZIkjXy2aeCJQkEQoGkaYrEYwuEwDMMY9CGMJLYzqmma0DTtyE1M+7cX1zQNpmkiGo0ikUggGo3SSIiQc0YQBBiGgXq9DmD0l8IMPAixnTnZRNnr5jvOE0VReOBh5+io2GiJbbetKAovTqDzS8j5wq6v7Ls/6kFo4ItV33ZB5lnVv9D0uAvO+h9LC1YJOd8Ouh6MsqF0TBj1kzIM7+KcnDSIEULOptNwHRhoEGLVXmyFP3A6TtJp0Z+WI4ScX6fpujrQICSKIkKhEBRFgW3bg/zRp4rruryg4CgBhT3G87wjL3IlhJBRMJQgJMsy386avMBWOZumiWQyiWg0eqSiAjayNAwDqVQKsVgMuq7TFt+EnGOnKRsy0Oo4tqZFEAR+134aehsNgiiKCIfDmJ6ehmVZ0HUduq4f6bmSJCGXy0FRFBiGgXg8DlVV3/MRE0LI2xvKOiHg5SQ6BaAX+keJbBTEyqzfdI5EUUQ8HodpmrxEm0qzCTm/WAft05CeH3gQohTcwdgokaXR+os4jkJVVciyzBevUnAn5PyiIERO5KTzOCxY0TwQIQR4NeM0yuiqRQghZwwLPKchI0JBiBBCyNBQECKEEDI0FIQIIeQMG/WUHAUhQgg5Y05TdRwFIUIIOSNYQQJb7uH7/sjvKUZBiBBCyNBQECKEkDNo1OeCGApChBBChoaCECGEnEGnZcHqwILQ/tYyrGpj1FtKEELIadTfumeUDXQkJEkSTNOEqqrodDq0sR0hhLwH/TtYUxDqI0kSdF3nO6s6jjPIH08IIecC66R/GrJNAw1CB0XlUT9BhBBy2rDFqsDoX2OHUpiwfzO7UT9JhBByGlE6jhBCyFBRdRwhhBByCApChBByhlE6jhBCyECxEu3TgIIQIYScMSwI0VYOhBBCBq5/nRAFIUIIIUMx6vNBAAUhQgg5s07DvBAFIUIIIUMjD/sAgNMRrQkhb+8o6SG6Hrx7+7vUjJKBBaH9JYOnIVdJCHl3giCA53m8qWZ/Sxl2fZAkCZIk8eeM6oVzlLFz2d9Fm4LQTwRBgCzLEAQBnufB87xB/nhCyBAJggDHcVAul7G1tYVGowHP8yCKIizLwtTUFMLhMHzfh6ZpCIVCwz7kU4ldZyVJ4oF/lG/6BxqERFGEpmnwPA+2bcN13ZE+OYSQdyMIAvR6PRSLRSwvL+OHH37A7u4uPM+DoigYGxuD53lIJpPodrtIp9MYHx/nd/ODvovfP0rbf506yWLQ113rDnytnx7Pnve6K2X/8bAgJMsyv9kf5evswIOQqqpwHAeu69JIiJBzwHEcbG9vY2FhAU+ePEG9Xsf4+Dju3LkDVVUhyzJ6vR7u37+PWq0GSZLw6aefIp1O8/Uug8Iu1p1OB4VCAY8fP8bi4iKazSZUVUUmk8G1a9cwNzcHXdf5dglvek3P8+C6LnzfhyiKPMi5rgtBEBAKhSBJ0k/BBAh8H75rw/d8uEEA1wsOTGMysizzc8mC9v503KgaeDpOkiQegPpP6qjmKwkhJ+e6LqrVKh49eoQvvvgC29vbSCQS+PnPf45r167BsiyIooitrS0sLy9jdXUVkiTh6tWrx15kedCc0/7rSv+fiaLYd+F/uRW27/uo1+tYX1/HkydP8ODBA9RqNQRBgGg0ina7jWg0imw2C8Mw3nhcnueh1Wohn8/DdV2YpolQKIQgCJDP5yEIAnK5HCzLenEcARD4HgK3i1ajhlKlhkq9g3bPgfTTPkH7j1nXdSSTSUSjUQB7R1ajHICAIVfHjfrJIYScDLvYdzodLC8v45tvvsG3336L27dv4/PPP8fly5eRSCSgqioEQcDk5CT+5V/+BfPz89jd3UU2m93zOkdh2zZKpRJqtRq63S583z/wuSxdZZomUqkUDMPgwYilDavVKkqlEmZnZ3Hz5k34vo/FxUV89dVXeP78OTKZDEKh0JGCkOM4KBQK+OKLL9BsNnHp0iVMT08jFArhq6++guu6+Pd//3eYpskOEIIACOiisPkMX//lr7i/sIHtaheRcBiWZfKRUxAEcBwHiUQCN27cwNWrVxGLxU7VTf3QS7QpEBFydjUaDTx//hzLy8totVrI5XK4efMmUqkUdF3nF0vLsjA7O4t0Oo18Po9oNLqnSu5NgiCAbdsol8vY2dlBrVbjRQ/7H8fSX8lkEqFQCKqq8tEFG03JsoxkMol0Oo1MJgNBEGAYBhYXF+F5HgqFAlqt1pGCJEvtLSwswLZt5HI5AEC328Xm5iZs20an09lzLRQEEaISghKyoIQs1OpNbG3tQp2+iHQ6hVQqxUdT3W4XpmlCUZRX3udpaGQ69CA06ieIEHJ87ILaaDSwvLyMWq2GVCqFXC6HiYkJXiXLCIIARVGQTCaRSCQA4EjzLexn+b4Px3HQarX4KMZ13QODkCiKME0Tqqqi2+3CdV0oirInhZdKpTA2NgZN0yDLMnzfRzKZxJUrV1Cr1QCAz/Psfy/9PM9Do9FAoVBApVKBZVnIZrMIh8OoVCpwHAeO4/A0IifKEMQ4xmdu42dKCut1H678GB9/9BFu376N2dlZWJaFIAjQ6XTgOA5Py+2/sac5IULIucMufLZt81Js0zRfuWPf76R37iz1Fo1GYds2r8LdH4RYYYBpmojFYlBVdc/fs+IplrJjz5ckCYqi8HLysbExnsY7jOd5qNfr2NjYwMbGBgAgEonAsiy4rovd3V0+J8QC0YtRmATgxTmQlRB004KqhSCJInzfh+u6cF0X7XYbtm2j1+tBkiREo1FomoZer8er43zffzXAjRgKQoSQd66/tJotQO1fH3hY1dtBBQWsEzT7c7Fvcr6fKIowDAPRaJT/rMPScbquw7IsKIqy53XYMpL+x7MLf6/Xg+/7iMVimJqaQjQafe1ojaUHl5aWsLi4iCAIYBgGXNdFPp/H0tIStre3EQqFUK1W0W63+XsTReGn9+7Ccx3gp0q6YrGI1dVVfj663S5kWUYqlUI8HoeqqrBte0+JNqvKG1UUhAgh74UkSdB1HalUCsvLy6hWq6hUKmi1WgiFQq8EAFYUwMqhQ6EQPM9DtVrF5uYmer0edF1HNptFMpnkIxU2agmCAOvr61hZWXljOk7XdUxMTGB+fp5XpR1WxOA4DnZ2dlAqlXhV3MTExBuLEtjC3MePH+PevXuIx+NIp9NYXFzE9vY2vvnmG6yuriISieDhw4cIh8OYnZ19ZXTG3p/neVhfX+eVe77vQ5ZlXL58GWNjY/w99Afp/lTcqFYhUxAihLxz/QUH09PTWFlZQblcxuLiIh4+fIiZmRmkUimemguCAKVSCeVyGa1WC8lkEslkEuVyGdvb29jY2EC1WoUoijz91J9OY3NKoVAIpmnyZSCHjYQ0TYOu63xtzWFarRZKpRJ2dnZg2zampqYwMTGBeDz+2rQi8CId1263USqVkM/nYRgGHx1Vq1V0u11eYee6Lp/X2Vug8DJoSJLE3x8LnKqqIhaLwTTNPe+1v3x71FEQIoS8c+wiGIlEcP36dezs7GBrawsPHjyAbdv453/+Z4RCIcTjcQBAr9fDs2fPsLm5ye/8I5EItra2sL6+zi/exWKRj2RYEGEMw8DNmzfxwQcfvHEynqUJ+0dTwN6Ltud52N7exurqKjqdDuLxOK5evcrTcP0dFQ7C0niSJPH5MMMwEAqFkM1mIQgCIpEIP0eZTOaVgMh+hu/7CIVCuHHjBubn53H58mU+7xUEARRF4aPB/e9j1AMRBSFCyHujqirGx8fxySefQNd1rK6uot1u449//CO+//57hMNhPrnPCgbS6TTi8TgvAkilUnAcB6VSCb1eD0EQ7CkaYNjI4KT6OxtUq1VsbGxgbW0NlUoFiUQCkiSh0+mg0+nAtm2EQiFYlrXnPfTPIa2treH+/fsoFAqIxWL4+OOPcevWLR54Z2dnMT8/j1AohNnZWT662lM1KEoQJQn4Kc1mWSYSiQRSqRR/r7ZtIwiCY5W0jxIKQoSQ94YFktu3b+PKlSt4+PAhvvvuO9y/fx+lUgmSJMHzPCQSCXz++ee4fv06Ll++DF3X4TgOJiYmeDnz5uYmVFWFYRiwLOu1abSTYEGo2+1ifX0d33zzDYrFIhRFQSwWg23bPIg6joOxsTFks1mYpskDACuIaDabWFtbww8//IBqtYqpqSn88pe/xIcffrhnES0rGGANR9l8DuN7DpxeD65tw3EcdDpdtFottFotXvDxurTgqI+CAApChJD3iM3VAC/mNC5fvgzDMDA7O8sXe/q+D8MwMD09jYmJCei6vmd01G63USwWUS6XeXkyW1/DyqnfBZZiazabqFQqKJfLfBHp5uYmSqUSgBcBIxqNwjAMRCKRQyvkJEmCYRiYmJjAzMwMXxzLysRfK/AAv4tafhMrjx9iY3UR2zs7ePb8OQzDgK7ryOVyr3RH2F+R6DjOK9WFo4aCECFkIARBQDKZRCwWw7Vr1/jFkf0dKyvu7+3G1u1IkoRwOIxkMgnbtlEsFhGPx/cErHeB/Uy2tQRbyNpfcs5Shslkkve+2/8arDM4a/kzOTmJSCTC//5NgsBH4HTQa1XRqhWhSCIikSh8z0ez2USj0eCpyf2LfoGXIytaJ9RnFCMwIWRw2MW5vyKu32FNNyORCG/1s7a2hs3NTSwtLWFiYgKxWOzYx9F/4d5/EWfBIx6PY35+/sDRA2t8yoLjQe9T13VcvXoV4+PjCIIAoVDoWMca+AE8z4eihTA2kcMnSgRX2zZkSUY8HoNlWbx33P7j6x8J9e8nNKqpuYGOhFiJoed56PV6vCSREHI+HHTXvl//5H673eatdWzb3rP9S//8yf6L7GGjjcO2NjhoLx5d10/8HlnKjo1+Xvd+D3sNQdJghJMYv6AhmvFguwF834OqqohEIq/d9G//OqFRvs4OdCTEShVfTLB1eFUHIYQw7O690+lgZ2eHz82Uy2XUajVe4ty/nw+bI2IB4KAqOXYxZgGOVZSxgoB3la05bI3OsYKQJEESLJgxA6FI6qc5nZeLbd90zPvXGo1yJmrgc0KH3bmcd6zPluM4AF6kBfrbh+x/rO/7sG2br5pmax4IOQvY96FUKmFrawvdbpfv5zM1NYXJyUk+UmELXUulEjRNQzQaRSqVOnA0xLIwxWIRrusikUjwfnbv+kL9dhd/EYIISKKE01l4fXQDu2odtIiKvMSqcprNJnzf5+sjDtqUiwWgUqkEx3F4pQ7rz0XIacZaz7DyY03TeL+3dDqNCxcuvBJkSqUS1tbWeCeBZDJ54Gv7vo9Op4N8Po9utwtVVaGq6hu7H5D3h26dR0QQBKjVatja2oJt28hkMkgmk4cGlf41C1euXOFfpNO6YI0Qpn9OZX5+HleuXOFpKBaU9geNdruNSqXC1xwdxvM82LaNZrO5Z77pSGXTp9SoZ52GEoRG+YQMC9sXpF6vo9vt8r1CDnus67qo1WpoNBrodrt7JmwJOe1YILIs60iPZ8GFbYlwkP4WOP37+Jyl6xGrljuoRHtU3+dQQj+ljF7VP2H6pi9G/wRr/38JOa9et8XD2zz2NGILhBVFgeM4fO54VK8RAwtCLMfb32riXVelnHb7g8txH0vnkZxHb/u5P0vfm/6Fvv1VeqMagIABl2grisI3nAqHw3zCcVTbSQzScer5DypWGPUPGiHvy0k+9wd1mT4L16GDrgVUov0T3/ehaRquXr0K27ahKApM0+R38+cZ61l13C/T/pQczQuR84Sl1fp7ox1Ff9DpzyiM8oX6OPafj1G/QR1oYQJr1S7L8p4KFRapR/lEvS/svTuOg0ajwfO3R+G6LjqdDiqVChRFQafT2dNSnpCzigUM1oW71Wq9MRD1p6ds20ar1UK5XOZNUvu7DJw2+99bsVhEpVLhHb9H+T0NNAixPdLZ7ome5+1plzHKJ+p96L/z8n2fnxdFUY40J2TbNiqVCpaXl1GpVF7ZXfG8nU9yfvQHIQB88embsG4M7XYbhUIBvu+jVCq90gj1tH13+q8lLAgVi0XUajWk0+mRzjYNLAixi2O320W9XketVoPrumdmCPw2WDqg1+sdq+V6EATo9Xool8u8FdJZXetACNP//WDFTb1e70jfGfYY1haoUqnAtm0YhnEmiqSCIOAbANZqtVOxfGPgveNYaSSrljvt/+jvQv8eIMDRq3X6z2H/+SXkvGA7rMqyfOR5nf4S7f5r0VlY6M1uaPvf16iXow+0bY8sy8hms4hGo+h2u3v2EnnbWo4AACAASURBVBnVEzQorutic3OTpwjehFUbJhIJXLx4Eel0+r3sNknIKGPbFTx9+hTb29tHeo4oijAMA5lMBlNTU7x/3Fm4KWbZkXw+j+3tbezu7u7psTeKBt47TlEUvjOgoih8T47T/o//NgRBgG3b6HQ6qNVqsG37SM9jK8onJyeRzWYRDocpCJFzRZIkuK6L7e1t7OzsvPax/evpVFVFLBbDxMQEMpkM35/ntF+HgiBAt9uFpmkIggDtdvu9NGd9lwZ6xer1etje3kaz2YQgCEilUhgbGxvpoeIgsPTAcUeE/c/rH3oTcp4c97vDHtufljtL6bj+9NtpyDINNAh5nod6vY5isch3GxwbGzsVJ+p9O845OKhDwmn5wBHyrvV/7k+yJuasfXcOCkCj/N4GGoR83+fVcY7jYGxsbGTzlIN2nC/P/k2zRvkDRsggHTWY9D9m1Bdzvo3T8L4GmrvpX9l/lEad58lxmyoetK88IefVUXYb7U/B7a+QI8Mz0JHQ/r5GZ/kO5CRYqelR9gVi7dpZy3YKQuQ803UdsVgMlmUhFAod+ji2J1E4HOZ7E9H3Z7gGGoT25yfpH/4lVnLNVm4ftrU3I4oidF2H7/tQFIXu5si5lslkEAqFoKoqwuHwod8HSZJgGAampqbgeR6i0ShUVaXvzxANvJ6XAs/BBEGAZVlIp9PwPA+xWOy1aQVFUZDJZNDtds/MGgdCTkIQBEQiEYRCIT7SOei7wFJwqqoikUjwG7izUBV3mtGikhEhiiLi8TgMw+DrGA67OxMEAaFQCBcuXIDneTyFR0GInFeqqkKW5TcWJuzvLHLWKuNOIwpCI0IQBGiaxoPJ6wIQ8CKt0L8Smr5I5Dw7aoFB/6ZvZDRQEBohx/0iUdAh5PjoezNa6HaAEELI0FAQIoQQMjQUhAghhAzNwOeETsMC1f0Lavf3purfjpzyy4QQcnIDX6z6No0GB8F1XXS7XXS7XTiOA9/3IUkSVFXlv5g3tQkhhBDyegMfCbGW6b7vj+S+547j4Pnz53j27Bk2Nzfhui4Mw0A2m8Xc3BxmZ2fRbrdh2zYikcgbOxsQQgg53MBHQmwTu1FrYGrbNsrlMtbX1/Hs2TPs7Oyg0WjA9324rgtVVbG8vIxmswnXdaHrOh8ZDXokFAQBPM9Dt9tFs9lEo9GAbdsQRRHhcBjhcJhvGnicY2M3Bv3bjbOfBeCVBquB78P3Pf6cAHu7e7P/7t/fhEaPhLwf/cs3Dvr1rr2LTv4DDUKiKCIUCkGWZfR6PTiOM8gffyC2H3ulUsF///d/4+nTpzAMA7du3cLt27ehqiocx0G9XsfXX3+N3/3udxgfH8edO3eQTqcRiUQGfrxBEKDT6WBhYQH37t3D3/72N+zu7iIUCuHjjz/Gz3/+c1y7dg3JZJKvIj8Kx3HQ6XTgOA5kWUYkEuHvnf3bsd52QADXtdHtdGB323BdD74gwfcDeL6PF5/NFylX1ihSURS+my7tAEvI+7G/Q/j76BbOdkRg18+3ubEceBBiPc487+Ud9LAEQQDbtlGpVPD48WPcv38ftVoNn376KWZmZnDp0iVomoZut4tyuYx8Po9KpcJHQcDLIHZUruvCtm2e0nsTVVWhaRpCoRAURQEAdLtdVCoV1Ot1AEA2m4WiKOh2u9jY2IAsy9A0DbIsI5FIvPHDEQQBXNdFPp/H2toams0motEo7ty5g1KphG+//RaJRALT09N8JAsAXq+JRnEDKyvr2NotodrsAqIMXdchKwokUeQ7PWqahlwuh8nJSQpAhLwHLGvR6/VQLpexu7uLUqkESZKws7PD+1OeZBfn/p/hui6azSZarRZs20YsFnttr8s3GdjV4HUHOKwqM9/30el08PjxY/z1r39FqVTC+Pg4Pv74Y1y6dIlfLBVFQSwWwz/8wz/g448/Rj6fh+/7vG3OcX5er9dDpVLB9vY2qtXqoUGYXbwjkQjfBp2NajqdDhqNBjRNw40bN/DrX/8avV4P6+vr+OMf/4gnT55gbGyMfzheFyTZh6rdbmNlZQVff/01Go0GLl68iJs3byKfz+MPf/gDrl69ikgkgmQy+VMAFgC3jU5lG0tPf8Tf7z/B48VVaLqJqakpxGJx6HqIpzNlWYbv+0gkEgiHw8c6b4SQ12M31O12G6VSCevr61hbW8POzg46nQ4Mw0Cv18Pk5CRM0+RbWBz3Z7iui3q9jvX1dRSLRbiui9nZWcRisRMf+7m+JXVdF5VKBY8ePcKjR48QiUQwOzuL8fFxhMNh/o8kSRJCoRBCoRAikQhM0+QFC8cZBfm+z1NelUoF+Xyez4vt3+mRzcl4ngdd12HbNnzf5x20w+Ew3zuFpQTD4TCeP3+OZrOJWq2GWq12pJEmu7PZ2NjA8+fPMTU1hcnJSWiaBtu20Ww20W630ev19ryeYiSQmLqGm4ii6Rt4tr6DRCKBjz76CDMzM0gkEjx12Ol0kEqlaBREyHvgeR5arRYeP36MH3/8kX9fRVFEqVTC3//+d2xubuLKlSu4ceMGMpnMiVJovV4PW1tb+OKLL9BsNnHhwgXkcrljZ4T6nesrguu6aDQa2NjYwNbWFu7cuYNcLgfLsnjqi+k/wSe5k9+/oV//n7Pgsv/P++9U2I60LNUWi8V4YQQ7tng8jlQqhUKhgFAodKQ7Hd/30W63kc/nsb29jUqlglu3bmFychK9Xg+1Wg22bcO2bbiuu6eiUdIsRDMWriWmUGk5+P///Bek02nMzc1hfn4eyWSSl7x3Oh0AoL2PCHkPWCp+eXkZm5ubSCQSSKfTME0Tu7u7PDVXrVYRj8cRiUR4pfKbsOtWr9dDPp/H8vIyFhcX4fs+MpnMW1c6n+sgxFJFjuPwCrijXrxPIggCyLIMy7KQzWZhGAZfi3TQHYksy4hGo4jFYjwo9lcYsvk1luZj6b14PI65uTnkcrk3puIcx0G1WsXz589RLBYRCoUQi8UgyzJWVlb4n3c6HT6Px54rCAIC33tRJee9OJetVguFQgGbm5uoVqsoFosQRRGxWAzJZBKWZdH+LYS8I+x7WKlU8M0338D3ffziF7/A+Pg4dF1HvV7Hzs4OlpeX8d133+HJkyeYnZ1FKpXqKzJ6Pd/30e12USqV8ODBAywsLCCRSEDXdb6H09s410GI7WBqWRYMw0C320Wj0eCBYU85cl/KrH8Ra//iVt/3IcsyQqEQDMN4ZaM5URTh+z5s20a9Xke5XD4wHdd/fGzvILZbZH+ZMzuuIAjQaDRQKBSg6zouXryIycnJI00WspTkwsICNjY2eEDL5/NYWlrCw4cPUSqVUKlUUKlU0O12EY1G+fNfjOwCBMGLu6FyuYzFxUU4jgNN01AsFvkHVpIkSscR8h50Oh1sb2/DNE2YpoloNMq3Oe90OgiHw3AcB8ViEaVSCc1m80ijF9d10el0UCgUsL6+jm63C8uyAACGYcAwjLfey+xcXxHYSGNqagrr6+uo1WpYX19HtVpFOBzmgQR48Y/Bqk/YWiHTNNFsNrG1tcVHC7quY2xsDBcuXEA0Gt0zghFFEa7rolqtYmVlBVtbWwAOLsxg6TiWu00kEq/ctbAUned5qFaryOfzSCaTSKfTiMfjRyrP9jwPtVoNz58/x+bmJsLhMPL5PIIgwP379/Hs2TO0220+qmm32/A8b8+mYP3/rdVqWF5eRrvdhmEY6HQ6vFKPRkCEvD+CIKDRaGBtbQ1BECAcDqPZbKJUKvG0OisucF33SNeGTqeDYrGIZ8+eYWlpCVNTU0gkErh37x4cx+E72r6Ncx2EJElCOBzGzZs3Yds2/vznP+PBgwdIJpMQBAEffPABf6yiKFhbW8Py8jIURYFpmjAMA/V6Hdvb22i1Wmi1WiiVSvwf/+rVqxgfH+evIQgCDMPA+Pg4JEnCpUuXXnt8giDANE3EYjGYpvnKh0YURdTrdSwtLaFWq/EAmMlk9hRWHKZ/USmrYDNNE7Zto9Pp8ACt6zpyuRyvjNt/HCzAKoqCbDaLW7duYWZmhp+HWCy2JyATQt4N9l00TRPZbBaPHz/Gn//8Z1y5cgXZbBa2baNUKmFjYwP1eh2yLPPv45tS9aIoolqt4m9/+xvu3buH9fV1pFIpRKNRVCoVXLx4kS+Mp5HQCYmiCMMwcPXqVQiCgMXFRayvr+PHH39EJBKBZVnQdZ1fpFdWVrC4uIhMJgNVVXkFCgBYlgVBELC0tIRSqcTX6OwPQrquQ9d1ZDKZEx0zK2RggWJzcxOPHz+Goii4ePEi/0C0222+OPSwKhjP89But9FqtfhcEqtqi8fjSCQSmJiYQLlcxszMDKanp/n73H9MrGovm83iZz/7GW7cuAHLsvjISZZlSsUR8p6Ew2HMzs5iY2MDCwsL8H0fpVIJvu+jXq+jUqlA0zRks1nkcrkDMyvAy/S+4zjodrvI5/NYXV1FoVBAq9VCvV7ni8+np6dhGAY0TaMgdFKsDNqyLFy+fBn/+Z//iadPn+LHH3/EH//4R/zpT3+CKIqQZZlf5Ofn5zE1NcXnRVzXxfT0NERRRKvVgq7r/K6j0Wi80+Nl6cB2u41CoYDvvvuOL05Np9PodrsoFosoFAqoVCqIRqOYnZ1FOBw+MAC0Wi0sLCzg4cOHyOfzuHbtGv7pn/4J2WyWBzPHcWDbNkzTPPCuRxAlSFIAUXz5ge6fC9N1HZ7nvXbLckLI2zEMA9euXYOqqpicnMS9e/fw4MED3nLLsix89tln+Pjjj3Ht2rUDbyYZz/PQaDT4fPCHH36Izz77DABQLpd5oFNV9UTtwfY710EIeNnXjN35x+NxBEGAZ8+e8bkRVoQQiUQwPT2NsbExaJq2p9xaEAS0Wi0+b9Jqtd55c1P2D80mCtfW1rC9vY10Os1/dqVS4ZOJrBDiICyg1Wo1NJtNhEIhTExMYG5uDul0Goqi7JmrOmi9ke/Z6LaaqFRr2N3eRPunO6Xd3V1enSMIAo2ACHnPZFlGMpnk6wYdx+HrDFVVRSqVwi9+8QvcunULpmkeGDhYhW2hUMDOzg5WVlagaRpu3bqFbDYLz/OwuLjIC6oajQa/2e3fXeDYx/62b/60Y/sCiT+1mBkfH8dvfvMbfPrppzzVJooiVFWFYRi87QV7LgB+oWf/iJIkYW5ubk8q7l0RRZEveGUftiAIUKvV+GJSVVWRTqeRTqdhWRZkWX6l+IEFh3A4jImJCQRBgFwut2fd0f7H7+d2aqjuruLR4+d4/OB7NBo1yAUFCwsLvBz7sFEYIeTd0zQNU1NT+Nd//Vf84z/+Iy9w0jQN0WiUL5HY/332fR+1Wg1Pnz7F999/j/X1daTTaVy9ehWapqHdbmN3dxf379/H/fv3sbOzAwBYWFiAZVl83dFJDGVTO+DNF7hB6q/wYrXv/Quw9pdE708rBUHAq8cURUEmk0Eul9tTyvyusE7ZrPqu0+nwdUYskCqKgmg0imQyuac6bz9N03DhwgVomsaLKI7eBSKAH/gI/ACSKGAsncQnn3yCkG4imUxCkiReyk4Ief9YcZAsy3wuG3h5/TqsXxzLirCKOdN88R3OZrMYGxvjWRHWRozNKfVXxvV33z+ugW/l0L/AclS2cei3fx3OYdg/HBuVLC8vI5/PQ9d1xGIxvi7mffTFi0ajbx3g2IjpwoULmJychOd5fPO+I74CBFGFasaQyU5BDydw/ZYMQZL5gleaAyJksI56/drP930oioJ0Og1ZlnHp0iVEIhHE43F+I8uKH1iXBNbOzDRNACfvATrQICRJEp/I6na7vG79NG6T7fs+Go0G7zz98OFDlMtlzM3N8e0PstksMpkM375ilPR/WPcf29H+LQTImgErPgZZCyPteghEEYDI05f9HbcJIaOJpeZZu7JEIsHnkvq3XWEBx3Vd/lxRFF90zT/GljH7DbSLtiAIvHsra5UziqOhowiCgFejra6uYmtrC61WC5VKBbIsQ1VVWJaFdDo97EN9IzYvdsxnQZQ1hCQVId16sX+Q8PLv2OsSQkYf2y8sFAq9UnDVzzCMV567f8H6cQ08Hcdykwc18zxt2PHLsoyJiQme0nJdl08CHrU/07Cd5AMkvHgiIEigcEPI6XXUOfr3cWM5lBxRfxA6rYGITeBNTEzw3VfZ+9E0DZFIBIlE4q2GqYQQctYNJQi9brh3WkiSxAsEZmZmhn04hBByKlH5EiGEkKGhIEQIIWRoKAgRQggZGgpChBBChoaCECGEkKGhIEQIIWRoKAgRQggZGgpChBBChmbgbXsIIYSMvv6ONod1tmE9QU/Vzqr9O3We1pY9hBBylgVBANu2Yds2HMeB53nwfZ/vRM2IoghN0/hmmCcJSEPZT4htOz2qewoRQsh55vs+tre3sbKygrW1NVSrVXieh0gkAl3X4bouXNeFLMu4evUqrly5AsuyTrTN90CDENv5j3Wa9jxvkD+eEELOhf40Wv8Oq0fddsH3fZRKJfz444/48ssvsb29DVEU+a6q7XYbtVoNjuPgN7/5DWKxGN9/6LgGPhJiG7yd9v2ECCFkFHmeB9u20Ww2US6X0Wg0YNs24vE4kskkwuEwNE177e6rgiAgk8lgZmYGKysriEQiyGQyuH79OsbGxtBoNPD999/j66+/xs7ODnZ3d5FOp0d/Z1W2g58kSTzHSAgh5O2xUU+328XGxgY2NzdRLBZRrVbR6/VgWRay2SwuX76MTCYDwzAO3fFZEARYloVEIoFIJIJYLIYPPvgA169fRyKRQKFQwM7ODt9V9VTsrArs3cHztO8nRAghoyIIAriuC9/3Ua/X8fXXX+PBgwcIggCe58F1XRSLRei6jt/85je4c+cOcrkcTNM8cEQUBAE6nQ6q1SrK5fKeuaBCoYCVlRVUKhVEIhFcunQJs7Oz0HWdFy8cx1D2EyKEEPLuBEEAx3GwsrKChYUFNBoNZLNZRKNRCIKAVqsFSZJQLpdx7949OI4DWZYxOTkJ0zQPfL1CoYCNjQ2USiXYto21tTUUi0XYto1CoQDf9/HRRx9hbm4O0WgUiqKMfjqOEELI+2HbNh4+fIg//elP+PDDD/HZZ59hfHwcgiCgWCxiYmICDx48wLfffotms8mD1EFBiFXHra2todvtQhAErK2twbZttNttdLtdXL58GTdv3kQul+PTLCdBQYgQQs4A3/dRLpexurqKa9euQRRF2LYNAHAcB8CLKRHbtlGr1ZDP59FqtQ59rVKphG63i7m5OUxPT+Py5cvwfR/5fB4//vgjisUivvrqK8iyjFQqdeLjpiBECCFnQH/hV61Ww/r6OqrVKgCg0WigUCig2WxCFEWoqvpK6ozN0bP0Xblchuu6uHHjBm7duoXZ2VkIgoCVlRVsb2/j0aNHKJfLuHLlylsVmVEQIoSQM0CWZeRyOVy/fp2PUjKZDBRFQavVws7ODnZ2diAIAlKpFGZmZhCPx/nzWQOBTqeD3d1dFItFOI6DRCKBWCwG4MWIiq0R8jwP0WgUuq6/3XG/1bMJIYQMnSAI0DQNly9fRrfbxffff4+trS2USiU4joNerwfbtqEoCubm5nh1nGVZAF5WwxWLRSwvL+PRo0d4+vQpHMfB6uoqRFGEruuoVqvY2NhAtVpFIpHA3NwcMpnM6eodRwgh5N0SBAGqqmJmZgaRSAS+76PVauHZs2fY3t6GbdsYHx/H/Pw8fvWrX+HGjRt8lMS0Wi0sLS3hL3/5C7755hvs7u5C0zTcu3ePB6KNjQ20Wi1ks1l88MEHuHv3LnK53LHLsvtRECKEkDNCkiTEYjHcvHkTsiwjHA7j+fPnqNVq+PDDD3H37l1cuXIF6XR6TwACAF3Xkc1mcefOHSQSCT5yikQiCIVCAMCLE8bGxjA9PY3JyUkYhkEjIUIIIS/SapIkYWZmhrfnMQwD+Xwev/jFL/DLX/4Ssiy/MnIRBAGGYeDixYsYHx/HJ598wv8cAO+Q7XkeT/0pisJfi4IQIYQQCILAg4JhGHt+WZb12iICtsOBqqq8Sg7Angao7M/3b9lwaoMQbXJHCCHvFruuSpLEf7H+bm963jCuyUPb3psCEBm2t+1dSL0PySjr37MtCIKRbRg9lCDENrcDQBvbkaFgX8r+z95xPofsseyLTgg5maGk4/qDkOd5FITIULD1E47jwDCMYy2663a7sG0bQRBA07S3XrBHyHlFhQnkXPJ9H91uF0+ePMGTJ09w584d3Llz58jPXV1dxe7uLlRVRTabxfT0NKWYCTmBoc0J0eiHDBPb/Gt5eRl/+ctfsLGxcazn7u7u4vnz51hZWUG5XH6PR0rI2UYjIXIuBUGAXq+HWq2GnZ0dNJvNYz2/3W6jWq3CcRx0Op33dJSEnH1DGwkRMmy+7/N5Idd1j/Vcz/PgOA7fzZIQcjIUhMi5xRb2sUV6J3nusNZWEHJWUBAihBAyNBSECCGEDA0FIUIIIUNDbXsIeQv0OSaj6rTMV9JIiBBCzqDT0ttw4OuE+pvpsd+zE3UaThg5/VhLeuZtvqz9n+H9r0vIsPR/Fkc9GA1lsSoLQrZto9vtotPp0HoLMjCyLKPT6aDT6cC27RM10Q2CAK7r8s9wu92GqqpwHOc9HTUhR6coCjqdDl8DN8qNogcehARB4H27arUa8vk8er0eFEWhIEQGQpIkdLtd5PN51Go1OI5zpC8oG+2wRa7dbheu66JUKmFnZweKohx70Ssh74Msy6jX6yiXy2i1WvA8b9iHdKihjITYJku1Wg2Li4swDAOSJI1spCZniyRJ6PV6KBQK2N7eRq/XO9YNUK/XQ6vVQrVahed5UFUVpmlCluWR/rKT80OSJHQ6HWxvb6Pb7ULTtDduajcsQzkqXdeRSqXQarXw7NkzvmKdghAZBFEU4TgOyuUyNjc30el0jhyEfN9Hq9VCvV5HqVRCu93mKT1Jkmg0T0aCIAjwPI9nmVKpFAzDGPZhHWgohQmpVAp3795Fu90GcHpKCcnZIIoibNtGsVhEs9lEuVw+ctseURShaRpM00QsFkM0GkUul8MHH3wARVFoJERGBitICIVCiMViSCaTwz6kAw0lCCWTSdy9e5fuGslQsDmh3d1d1Go1LC8vH6t3HAtA2WwWuq5jfn4ed+/epTkhMpJYf0RVVYd9KAcaeBBid5KaplH6jQyFKIpQFAWNRgOhUAiyLB8pCLHRuiiKkGUZiqLwUVE4HKZ0HBlJ7HM7qtmmoVTHHfR7QgaJzUOetBM266LNfrHt6o/bjZuQ846+MeRc2r9Q+qTP3/97QsjxUBAi59q7CEaEkJOjIETONZaKO2lqmFLKhLwdCkLk3JIkiXdAOOmIhpYXEPJ2RnMJLSHvmSAI0DQNY2NjuHLlyrHWUAiCgFgshvHxcRiGAcuy3uOREnK2CQEltck55Ps+b91TLBaRzWaRzWaP9NwgCPhCV0mSEA6HEY/H3/MRE3I2URAi55bnefB9H77vQ5ZlXmZ91Oey7giSJB3ruYSQlygIkXOrvyruuHM7/YtSaV6IkJOjIEQIIWRoqDqOEELI0FAQIoQQMjRUok1GHtvR1PM8NBoN1Go1tFotOI7Dm4nquo5EIgFFUWDbNlRVha7rwz70PfbPQfX/l5DzioIQGWlBEPBKtFarhYcPH+Lhw4dYXl5Go9GAqqqwLAsTExP4+c9/jmg0ikqlgmw2i1wuxzdLHPbF3nVd2LYN27YhSRJCoRBfLHsS+4NZEAQQXvzBOzpiQgaDChPISGPreVZXV/Hjjz9iaWkJjUYDkUgEmqbxbRkAoNlsQhAExONx3L59G7du3Tp26XT/12H/7wVBeCWgHWVE43kearUa1tfXsbi4iImJCczPz/Nt7Y9yDlzXRafTQRAEUFUVoijycyMIAizL2rN9cxD4CDwXjuOgZzt4EaIEBMHBW03IsgxN03hgHHbQJucHjYTISHMcB4VCAffv38ef/vQnCIKAmZkZfP7555iYmOAX6M3NTfzP//wPqtUq5ufnT7S5XBAEsG0b3W4Xtm3D87w9nbL3ByFJkqAoCkKhEEKh0IEXbrYd+NbWFu7fv48vv/wSn3zyCS5fvnykdGEQBOj1eqjVatjc3AQAZDIZaJoG27axtbUFURQxNzcHy7L4iCjwXPi9JurVKnYLFTQ7PbieD0VRXtk/yfM8GIaB8fFxmKYJRVEoCJGBoSBERlq9XsdXX32Fv/71r9jZ2cE//uM/4le/+hVyuRwikQifZ4lGo7AsC/V6HYqiYGxsDMCraavX8TwPhUIBKysrWF5eRrvdPrTDtiAI0HUd6XQaly9fxuXLl/eMRJhms4mVlRV8//33uH//PlZXVzE7OwvHcY7Ur04QBJRKJTx69AhffPEFFEXB559/jmQyiWazif/7v/+DoigYHx/f0z7Id3uwm7vYWnqGv377CN8/fo5SrYnc1BSSySR0XYckSXBdF7Vaje92fPHiRcTjcdoXiQwMBSEyknzfhyiKKJfLuH//PpaWlqDrOmZnZ3Hjxg3IsrwnsIRCIaRSKZ766r+bP85dved56PV6aDabaLVarwSK/pGQ53mwLAuO47zyOkEQwHVdlMtl7O7uol6vo9PpoNvtwnGcIzdNDYIAlUoFq6urWF1dRTQaheu6cF0X1WoVCwsLUFUV3W53/zN/Grn56Ha7WF5exurGDp9D03Wdb8jneR4cx4HruvB9n0ZBZKAoCJGRxFJjpVIJ6+vr8DwPFy9exNjYGJ8DOug5ABAOh0+0RYMoikgkErh+/TomJib2pPT6AwZ7TVmWYRgGIpHInrmdIAjQ6XRQqVSwu7uLTqeDXC6HbreLra0tKIrCd3R9E9d10Wg00O12MTMzg+npaVy9epWPkA5KrwGApOiQ4jnkrpr4uZjAZqmJkLmIX9y9i9u3byOdTkPTNJ4ulCQJiUQC4XCYRkFkoCgIkZHEquJs20ar1YLv+zAMA6FQ6LXPEQSBB6mDoOwmFgAAB6xJREFUigxed+EXBIFP0JumyXvDHTZiYY/tD4psVFEul7GxsQHP8/gIzTRNvq04AD4aOuyYbNtGpVLB5uYmdnd3oes6otEoJElCrVbD9vY26vU6wuEwut3uy152oghBkgFJgR4BEqkWYvEETHMHmqZBlmXIsowgCOD7PsLhMHRdRzgchqqqNBIiA0VBiIwsFhRUVUWv14Nt2wemvvqx4MWez4oJWAGD7/u84SgLBv1lzrZto9FooFwu8591WBBSFAWWZUEURRiGAUEQ4DgOqtUq1tfX8ezZM0xOTmJiYgL5fJ6vbep0Omg2mzBNk69z2n/hD4IArVYLGxsbWFpawurqKh9NFQoFrK2t4dGjR8jn8wCASqWCZrOJUCgEUVUhgKUiRQQAr6YrFotYW1tDs9mE67rwPA9jY2MYHx+HKIrUiJUMHAUhMpJEUUQoFEI4HEYikUCj0eAX8tc9x3Ec1Go1nipjF3jf91Eul1EqlRCPxxGPx6Gq6p6LLktN7ezsYHV1lRcmAAdXx+m6jlQqxVNZANBoNPDgwQPcu3cPCwsLSKVSGBsbQ61Ww+LiIra2tvDDDz8gmUzik08+wezsLKLR6IGjj0ajgbW1NTx9+hRPnz4F8GLuq9lsYmFhAX//+9+xvLwM27bx+PFjRCIRXLhw4ZXqNvb+2+02Njc34bouotEoPM/jo7lUKrWnKSshg0JBiIwkdhGNx+O4fv06Op0OarUanj9/jqmfKrxYak4QBD530mq1YNs2otEoL4FmFWCLi4v/r727+WkbCcMA/hgH29iJQwI4TYRtHKqUfggBbW89tlLVP7m3HpresqsW9UNqQVAtUBoINvbEiZ14D6vxAk1apF3qCN7fEQxxpGjevDPPjLG1tYWVlZW0QF385s/TcPwRD6PScfzezl7DDQYDMMbS/TuMMXz//h2np6fwPA9hGMLzPLTbbQRBcC4GfvE+wjDE0dERTk5OEAQBwjBEEAQ4Pj6G53mI4xiapqXhiH6/PzbwwN/H2aKay+XSeDkv1pOwsZfcLFSEyETiA+H8/DyePXsGSZLw6tUrvHz5EltbW3j+/DmWlpYA/LM247ouXr9+jV6vhwcPHqBQKKQBAF68ms0m3r9/D1mWsbS09MOAK4oiSqUSFEWBaZqI43jsVJwgCBBFEZIkpdNqPCr++PFjNBoN+L6PXC6H4XCIvb09tFotMMawurqKp0+fwnGckUEAXtx4Um1+fh5xHMO2bdy+fRumacJxHNy5cweu66JSqeDJkydYXFyEqqoX/t+/e5qKxSLu37+Pu3fvpsGEXC6XpuVGRcwJuWr0qSMTbWZmBrZtY319HYwxfPjwIZ3SOjw8TNcxoihCGIbI5/PpoCoIQrrRs91uo9PpIAgC9Hq9kQVGEIS0MyiVSr+MUI+KgMuyjEqlAsMw0ph5GIZQFAX7+/soFoswDAO2baNcLo8MAvAjivb397G9vY0kSeA4DlZXV9FoNLCwsIAoirC8vIxut4tCoQDbts9tVuWSZIBhMsRgMIAgCCgWi7h16xaq1eoPBYs6IJIFKkJk4uVyOaysrMAwDFiWhY8fP+Lr16/Y2dnB9PQ0kiTB7OwsHj16hHq9Dl3XoWkaoihCp9NBp9NBHMcoFAqoVqvQNO3cVNvZwfe/xpNHDeSyLENRlDTOzU8lGHd2HN8DtL29jc3NTRQKBdy7dw8bGxuo1+vn9iklSYKpqSnIsgxAwNSUACQJkmEMIRmg3w3A/FOwIABjLJ3WuxjeICQrVITIROMJOR4jFkURjuOk6ymiKCJJEszMzMCyLMzOzqZTY4yxNMxQrVbhui663S5UVU3PnfsdA7Aoisjn87AsCxsbG3AcB7Isj31tXhxlWUa5XIZhGDBNE3Nzc1BV9VJx82EUIvL2sPPpE968+RObb//A7t43FJrNtEOzbRu6rl/JeybksqgIkYnHuxNJkmBZFizL+un1w+EQruvi4OAAnz9/BmMMtVotnbLrdDo4OjqCJEkjwwlXQVVVmKYJSZJQKpXGns/GOzNFUVCr1bC2toZyuQzTNKGqKoBLTJsJQDKMEYce/M43tL/9hSkhga7r8P0A7XYbvu+j3+9TEIFkjk7RJtdOFEX48uULWq0Wms0mdnd3IYoifN9HGIaoVCpYX1/Hixcv0Gg0oGnald4PP8Kn1+shDMP0WUfj9gfxDa+e58F13fSoHV3XIUnSr18PCZI4wrDv4+TkBAeHx3B9higeQpbldF0qn8//tCMj5HegTohcO0mSQBRFqKoKwzAQhiEYY2CMndsLM+5w0v8bn1Lk98R/NmrwP3utoihYWFg497tLvR4AITeNqVwJ82oZc7U6Lv4lffckk4I6IXKtnO06ut1uWnwYY2i1Wnj37h3W1tbw8OFD1Go1FIvFS3UXhJCrQZ0QuXZ4x6GqKubm5tIHwvFz0paXl7G4uAhN02hvDCEZo06IXHv8TDjXdeF5HnRdh67raUyaEJIdKkLkRuCL/fy8NP74A1qUJyRbVITIjTDu6aiEkOwIgkBrQuRmoIJDyGSiRygSQgjJDBUhQgghmaEiRAghJDNUhAghhGSGihAhhJDMUBEihBCSGSpChBBCMkNFiBBCSGaoCBFCCMnM38UaQc5vsCWaAAAAAElFTkSuQmCC)
Four capacitors are connected in a circuit as shown in the following figure. Calculate the effective capacitance between the points
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![](data:image/png;base64,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)
physics-General
physics-
Equivalent capacitance between
is
![](data:image/png;base64,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)
Equivalent capacitance between
is
![](data:image/png;base64,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)
physics-General