Physics-
General
Easy
Question
A particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance
below the highest point such that
![](data:image/png;base64,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)
The correct answer is: ![h equals fraction numerator R over denominator 3 end fraction](data:image/png;base64,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)
Related Questions to study
physics-
In figure, a particle is placed at the highest point of a smooth sphere of radius . It is given slight push, and it leaves the sphere at , at a depth vertically below such that is equal to
![](data:image/png;base64,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)
In figure, a particle is placed at the highest point of a smooth sphere of radius . It is given slight push, and it leaves the sphere at , at a depth vertically below such that is equal to
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)
physics-General
Maths-
Maths-General
Maths-
Maths-General
chemistry-
angle would be maximum in
angle would be maximum in
chemistry-General
physics-
A circular loop of radius 20cm is placed in a uniform magnetic field plane the loop carries a current 1A in the direction shown in figure The magnitude of torque acting on the loop is nearly
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)
A circular loop of radius 20cm is placed in a uniform magnetic field plane the loop carries a current 1A in the direction shown in figure The magnitude of torque acting on the loop is nearly
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W52wqO8ojucDg4ffo03t7ejBgxgtWrVxMdHY1er2/vJXZLVCoVBoPBeV26uLgQGRnJgAED8PPzc75OlmX8/Py4ePEiDx48wOFwUFpaitlsbq+ldxuEiHcgunNplkqlwt3dHa1Wi91uZ8SIEfzLv/wL/fr167Y3to6AWq3G3d0dV1dX1Gq104Xp76dNKiMRJEly7hMEBQWJee7vASHiHYjOmEp5F5jNZoqLizl79iwmk4m+ffuyePFiEhIShIB3ALRaLS4uLqhUKiwWC3fu3GHbtm3odDrc3NxwcXHBYrFw/Phx7ty5A4CnpycjRozA09OznVff9REiLmhXJEkiPz+fjRs3cv78eSwWC/369SM+Pl6kUDoAKpUKNzc3Z823zWajqKiIdevWPdPcI8sylZWVNDU1odPpSEhIICkpSUyVfA8IERe0G5Ik8fjxYzIzMzl58iQ2mw2VSoWrqyt6vb7bPpl0JJTz4e7u7hRro9FIcXGxcx9DSQMqZaZKSqysrIywsDDR9NPGCBEXvHeUmeCVlZVs2bKFQ4cOodVqGTt2LNnZ2dhsNiRJau9lCvhVxJWOTEWs1Wo1Hh4ezsmTSp9AU1MTLS0t2Gw28vLyWLt2LZ6engwYMEA8VbUhQsQ7AJ21tPBNkWWZsrIy/vKXv3Dw4EG8vLyYN28eCQkJXL58GYvFIkS8A+Hi4uJ8MlKpVHh6evJP//RPxMfH4+/v74y8L1y4wIEDB7h16xZNTU0cO3aM3r17Ex4eTkRERHsfRpdFiHgHoDsJuFJ6tnnzZvbv309gYCDLli1jypQpPH78GK1WS1NTE1artb2X2i2QZZm6ujq0Wu0L67mVqNvf3x+dTofZbMZgMDB16lSio6OdG54Oh4O4uDgSExPZsGEDR48exW63c+7cOaZNm0Z4eHi3us7fJ923pk3w3lFGyh45coSff/4Zf39/Fi1axIwZMwgPDycgIABXV1eam5uxWCztvdwujSRJNDU1cfXqVY4dO0Z5eflLX6vRaJwzUJRZOVarFVdXV9zc3Jz/DQoKIjExkbi4ONRqtfN8P3z48K1GMgh+HxGJC94LDoeDhoYGjh8/zo8//kh9fT3Lli0jPT2dsLAwALy8vNDr9TQ2NgoRbwOUsbJGo5Gamhry8/PZvXs3Q4cOxcPD46XvU8Qbfo3czWYzd+/eJTQ09Jn32Ww2ysrKKC0tdabD7Ha7aPhpY4SIC9ocpRHk8uXLbNy4kbKyMsaMGcPixYsJDQ1Fq9Uiy7KzlM1ut2Oz2dp72Z0eRXgdDgeyLGOxWKitrSU3N5dffvmF8+fP09zcTHp6Ov7+/i/9PRqN5pkKE5vNxs8//0xLSwve3t5oNBokSaK6upoLFy5w9uxZ5+zxoKAgoqOjRSqlDREiLmhTHA4HLS0t3Lhxg7/97W9UVFQwefJkVqxY8cyEO6UKwt/fn+rqahGJvyWK6bTRaKSuro7Kykpu3brFxYsXyc/P5/Hjx0iSxIwZM+jVq9dLOyuVzUwXFxdn45UkSRw/fpxLly6h0WieEfeWlhbnNEqdTkdKSgqxsbFCxNsQIeKCNqW5uZnLly/zzTffUFBQwIQJE/jss8/o27fvM7OmFaHw8fGhuroaq9Xa7ap23iUOh4Pi4mLOnTvHjRs3KCoq4unTp1RXVzvb5oODg5k1axZBQUG/O/JBrVbj6+vrLDNU8uLKjVYxBFFmi7u4uODt7c2wYcNIS0sjKCjofR12t0SIuKDNMJlM3Lhxg59++omrV68ybNgwPvroI/r16/dCZ3tlfopi/fW6KAYQ0L3n0CgYDAb8/f1xd3enoqKCoqIiZ67azc2NuLg4kpOTX3gufotKpSI+Pp6hQ4cSERGB1WpFp9M5nZzsdrvz3zqdDi8vLxISEhg7dixJSUnCB7WNESIueOcozTyFhYVs376d8+fP06tXL/7whz8wYMCAl4qGklKRJAmTyfTan9vQ0EBdXR0ajYaIiIhuLeRqtZrIyEgCAwOJjY1Fr9fz17/+1Rkxu7u7k5SUREBAQKtMG1JSUggLC3NWDikmG2q1Grvd7uzc1Ov1eHh4EBAQgI+Pj3D2eQ8IERe8cyRJoqSkhG+++YZjx44RFBTEf/tv/42UlJRXRmWKi0xDQ8Nrp1P27t3LwYMHCQoK4t///d8xGAzdXsjd3NycTzfKBqXVasXNzc054rc133FwcDBBQUHP2N29DGGF934RIv6GdHVbrjfFZrNRUVHBhg0bOHnyJCEhIaxYsYKUlBRcXV1f+X2p1WokSXrtjU2z2cz58+c5f/48vXv3Fh2f/HqNPnz4kG3btnHgwAFmzZpFr169OHDgAAAJCQmvdZMT4twxESL+hggRfx4lAv/pp5/IzMwkODiYhQsXMmnSJDw9PV/5XalUKvz9/XE4HE4/x9ag1D97eXnRu3dvBgwYgJubW7c+N7IsU15ezubNmzl69CgRERGsWrUKf39/WlpaKCoqIjQ0tFs/qXQVhIi/IeLifxZZlqmvr+f8+fPs3bsXjUbD4sWLmTFjBqGhoa0SVGVjU6l+aC1KRcSiRYuYOnUqYWFhznbw7ogkSTQ2NnLw4EEOHDiAh4cHy5cvZ9iwYahUKj744AMMBgO+vr7iOu4CCBEXvDUOh4PGxkYuXbrE7t27sVgsrFixgpkzZ752tKfX652NKa/bqp2QkOCcf91dxcnhcNDU1MTJkyf59ttvAUhPT2fSpEnOSYKDBg0iLCysVU9Hgo6PEPG3QHmMB55peuhOKPOlf/jhB/bt20d9fT2zZs1i0aJFBAcHv7aYKt2bJpMJu93eqsoJSZK4ffs2x44dw9XVlZkzZ9KzZ89ueT6ampq4dOkSX331FRaLhS+++IK0tDQMBoPzNaGhoQQFBYnKkS6CEPG3QCmr6q5NKUoEfuDAAbZu3YrZbGbKlCl8+umnBAUFvba1mpIWgV+bhJQhS69CkiSOHj3K1q1bCQgIYODAgfTo0aPbnROz2cyVK1f4/vvvKS8vZ+nSpUyZMgUfH59nvgvFkUfQNRAi/pZ058f22tpazp8/z/r16zGZTIwZM4Z58+YRFxfnFOPXRcllW63WVs9PcTgc5OfnU15ejouLS7cbY6vU5efl5bF3714ePnzIxIkTSU9PJyQkpFVPM4LOS/dUIMFb89t2+vz8fIYPH85nn33GwIED31jAVSoV3t7e6HQ6JElqddemUolhs9nw9PR8LvLsyijDxR4+fMiuXbu4ceMGAwcOZMWKFc46cEHXRoi44LWx2+1cu3aN9evXc+3aNfr378+qVatITk5+qxZrlUqFn58f7u7umM3mVo0wVXLylZWVyLJMYGAgoaGhb7yGzobiZfndd9+RlZVFQkICK1asoG/fvi8daiXoWojnLMFrYbPZuH79OmvXruXWrVukpKTw5z//mcTExLcWDSUnrtVqMZvNrWr4kSSJiooKjEYjLi4uhIeH4+fn1y0icVmWnXX5P//8M/369WPRokX07dtX5Ly7EULEBa3GaDRy9+5dvv32W27evElcXByrV68mJSXlnbS4q1QqDAaDs7NTluVXvkeWZaxWK7Iso9PpCAkJ6RYRqCzLPH36lKNHj3Lo0CFnY9XAgQPFwKluhkinCFqFxWKhqKiIDRs2cO7cOSIjI1m2bBkjR47E09PznW3wurm5odfrsdvtrWqdlySJ2tpap6mEt7d3l99sdjgcVFdXc+DAAfbs2YPNZiM9PZ1Ro0bh6+vbLZ5CBP8fEYkLXokkSTx58oS9e/dy4MABwsPD+cd//EfGjBmDj4/PO/0sm82GzWbDbre3amPTZrPx+PFjrFYrvr6+XT4frjx5/PLLL2zZsoXq6mrmzJnDggUL8PPzE2mUbogQccErqa6uZseOHWRkZBAYGMg//dM/MXr06Be6o78tiojLstwqEbdYLNy9exer1Yqnp2eXF3GLxUJOTg7/+Z//SV1dHVOnTuXzzz8XAt6N6drPnYK3QpIkqqqq2LZtG7t378bV1ZU1a9YwevToNmvZdnd3x9XVlaamJqqrq1/5epvNRmVlpXMA1m87E7saJpOJe/fu8e///u/U1NQwY8YMVqxYQVRUlBDwboyIxAUvxG63U11dza5du9i6dSt2u505c+YwefJkfHx82kQ0VCoVnp6eGAwGZFlu1camxWKhpKQEm81GYGDgK11qOismk4nc3Fw2bdpEfn4+qampLFy4kNjY2G6xkSt4OSISFzyHLMvU1dWRnZ3Nhg0bqK2tZdSoUcybN4+wsLA2i/qU4VVubm7PzKV5GQ6HA7PZTEVFBbIsExoa2uUicYfDgc1mIz8/n61bt3Ly5EmGDBnC6tWr6du3b6vGEgi6NkLEBc+hzOD47rvvePr0KRMnTuTjjz+md+/ebV75oLjRKNZfv4fi6G632/H29qZv3754eXm16freN5IkUVZWxoYNG8jKyiI0NJQ///nP9O3bt8s+dQheD5FOETyD3W7nwoULfP/99zx69IipU6eyZs0a4uPj23QGhzK5sLKy0unjWFdX97vvUalUhISEsHr1ajQaDaNGjepSqQW73U55eTlr164lOzubmJgY/vznPzNgwADRTi9wIkRcAOCc4X316lW+//57ioqKmDBhAp9++im9evVqc6cch8NBQ0MDGRkZ5Ofn09TUxOPHj3/3PYoT0IIFC9BoNHh5eXWZGnFJkigtLWX79u0cPnyYwMBA0tPTnTZ3AoGCEHEBDoeDlpYWLl68yKZNm8jLyyMhIYElS5YwaNCgVpvpvg2Kq49KpaKxsZHm5mZyc3OpqKjA19f3pU49SpdmV0Jp5jl16hT79u3D1dWV9PR0Jk6c+M7r8gWdn64RtnQTWlOt8SaYzWYKCwvZuHEj2dnZxMXF8dlnnzF06NBWmRu/LopjuizLSJLk/NFoNCQnJ+Pn54fZbOb69evs2rWLwsJCqquraW5udtaQv67rT2fCZDI5XZLq6upYsGABs2fPJjw8XHRjCp5DROKdiLb4A3Y4HBQWFrJu3TqOHz+Ov78/ixcvZty4cW22caa42Stemna7nZaWFkpKSnjy5IlT4EtLS/mP//gPDh06RFxcHIMHD2bEiBH4+/vj6uqKXq/vMukTBVmWuXPnDrt27eLevXukpqYyb948QkNDRS244IWoHF05pBG8kidPnrBu3Tq2b99OSEgIq1atYuLEiQQEBLy1QCpi3dzcTHV1NY2NjVRXV1NYWMjdu3eRZZna2lrsdjtGo5Hq6mpaWlqorKykpaUFh8OBi4sLOp0OV1dXfHx86NmzJz4+PgQGBhIUFIReryc2NpbQ0FB8fHzw8fHBw8MDg8HQ6aJWk8lEXl4e69at49atWwwePJiVK1fSp08fdDpdpzsewftBROLdFLvdTmVlJbt37+bEiRMEBgbyD//wD0yYMAEfH5/XFnAlFrDZbBiNRmpqarh//z65ubmUlJRQWlpKU1MTzc3Nzpy3VqtFkiTnZ6lUKry8vNDr9ZhMJqcxxG/TJ7dv30aSJFxcXHBxcUGj0eDt7Y2npyeenp4EBAQQGRlJ//79iY2Nxd/fH4PB4Cxb7KhCaDabefjwIWvXriU3N5cRI0awZMkSevfuLQRc8LsIEe+G2Gw2qqur2blzJ9u3b0er1fLpp58yderU15pIqDTk2Gw26urqaGhooLq6moKCAm7evEleXh4lJSUYjUanr6NOp8PHx4fo6Gh8fX3x9vbG1dUVDw8PXF1dCQsLY/PmzVy6dAmVSoWHhwdhYWH07NmT6OhoVCoVZWVlzjJEk8mE0WiktrbWmZrR6XSEh4cTHx9Pjx49iI+PJyYmhoCAAKfphHID6AhYrVZKSkrYvn07J0+eZOjQoSxcuJD+/fuLUkLBKxEi3s1QujGzsrL47rvvkCSJZcuWMXv27FYNtFIiYrvdjtlspr6+nocPH/LLL79w48YNysrKePr0KUajEb1eT0BAAL179yY2NpaAgAACAwOJi4sjKirKGXVrtVqnoJpMJo4cOYJGo8Hd3Z0pUwVytOgAACAASURBVKaQlpZGUlKSM8XT3NyM0WjEarU60y8PHz6koKCA4uJiysvLqaiooLi4GIfDgaenJyEhIcTFxTF27FiSkpIICwvDx8fHKebtFenKskxZWRm7du1iz5499OzZk+XLl5OUlCQEXNAqhIh3M2pra8nOznaaG3/22Wekp6fj7+//yvcqY1BNJhNFRUVcvHiRK1eucOPGDaqqqpAkCU9PT8LDw4mKimLw4MEMGjSI6OhofHx80Ol0TucerVbrFE7lv3a73VmJ4nA4CA8P59/+7d+IiIhwljkq0blS4aJsgtpsNlpaWmhsbKSmpoanT59y5coV7t+/T0VFBaWlpRQWFnLu3DkCAwNJTEwkNTWVgQMHEhoaiqen53uPzB0OB42Njfzwww/s27cPb29vvvjiC6fJhkDQGoSIdyPq6+s5cuQImzdvpq6ujvT0dObOnUtERMTvCphSRVJcXMyFCxd4+PAht2/fprCwkMbGRvR6PfHx8fTu3dsp2sHBwQQHB+Pp6Yler3dGu6+KeB89euRMe1gsFlxdXdHpdM+s72X14u7u7vj5+REZGUliYiKDBg2irq7OmeIpLCzk9u3blJaWkp2dzbVr14iLi2PYsGGkpqbSq1cvDAbDexFzu91OXV0dmZmZnDhxAn9/fz777DM++OCDd+KSJOg+CBHvBijdmOfOnWPHjh2UlJQwZswYlixZQkxMzEsf25X3VVZWcvv2bbKysjhz5gxNTU2o1Wo8PDwYMGAAI0eOpF+/fvTo0YOQkBA8PT3RarWo1erXSlOoVCoiIyOZO3cuZWVllJeX09jY2KpmHuUGoVarcXFxwdXVFU9PTyIiIrBarfTv39+52ZqXl8fdu3e5evUqly5d4v79+9y+fZsRI0YwbNgwoqKi8PDwwMXFpdVrfx2UlNbevXvZsmULWq2WefPmMWXKFHx8fMQmpuC1ECLexVGi6Nu3b/P9999z7949kpKSnql8eBE2m436+nru3LnD6dOnOX36NIWFhVitVvz8/Bg9ejSDBg2iT58+zmFMv02RvAlarZZ+/frh7u5OYGAgZWVlGI3GN27sUalUaDQa52TEgIAAYmJi+OCDDygrK+Po0aNcvHiR+/fvc/LkSa5fv87169cZO3YsgwYNIjw8HFdX13camSvdsTdu3GDTpk3U19ezbNky5syZQ3BwsBBwwWsjRLyLY7VauXv3Lv/7f/9vrly5wrBhw1i+fDkpKSkvFXBZlqmoqODgwYP8+OOPFBcXI0kSMTExTJgwgcGDBzNkyBCCg4PfefmbVqvFw8ODwMBA1Gr1O+3MVKlU6HQ6Z4VMTEwMs2fP5ubNm5w9e5bz58+zZ88eTp48SWpqKh9++CGDBg3C19f3nQm5JEnOueCPHj3iiy++YOHChURGRgoBF7wRQsS7MJIkcf36db788kvOnDnDmDFjWLVqFUOHDn1hqkCJEi9cuMDhw4c5fvw4FRUVxMTEMH78eMaNG0diYiJeXl64urq+deT9Mtzc3AgMDAR+rVZpi340ZXa5kr8fMmQIU6ZMYevWrVy5coUjR45w8+ZNhg8fTnp6On369MHLy+uNj9fhcGC327l06RKbNm3i1q1bzJ07l/T0dEJDQ4WAC94YIeJdEEUwcnJy2LZtG7m5uSQlJbF8+XIGDx78Qms1i8XiTDFkZmZSVFSEWq1m/vz5jB8/nuTkZEJCQpydkG0pOkoErlTDtNXMGJVK5ayWcXNzw8fHBz8/P2da5fr16xw8eJCioiKmT5/OmDFjiIyMdA7qeh2sViu5ubl899133Lp1i379+vHJJ58QGhraZrl3QfdAiHgXRJIk7t+/z/r167lw4QLR0dGsWbOGESNGPNfM43A4aG5upqioiO3bt5OVlUVzczPh4eFMmDCBtLQ0evTogbu7+3urmFBy2ZIkOV172vrztFotXl5eDBo0iPj4eIYPH8758+c5cuQIt2/f5smTJ9y8eZPU1FSGDx9OUFBQq2eXW61WysvLycjI4Nq1a8TExLB06VKSk5NFN6bgrREi3sWQJIn6+noyMjI4ffo0Xl5eLF++nBkzZjyX/pAkiaamJq5du8bmzZvJyspCpVIxdepU5s+fT0pKCn5+fu9dZLRaLXq9HlmWefz4catc798Fipj7+PiQnJxMr169+OCDD/juu+84cuQIu3fv5uzZsyxdupRFixYRHBz80hG5Csp4g0OHDnH48GEiIiJYsmQJo0ePFs08gneCEPEuhMPhoKamhr1797J9+3Y8PT1ZtmwZU6ZMee6RXYlyN23axIEDBygsLESn07Fw4UKWL19Or169XilQbYVarXZGuU1NTW0eib9sDQaDgcTERP7rf/2vDB06lP3793P69Gm+/vprKisrWbRoEf369XupGDscDioqKti7dy/r16/H3d2dNWvWMG7cONHMI3hnCBHvIiiCcfDgQTZu3IinpyfLly9n5syZeHh4PPNapePyp59+4uDBg5hMJvr06UN6ejrTpk0jLCysXW3OlFpvtVrdppZwr0KJzENCQpg5cyaxsbHExcWRlZVFZmYm5eXlLFmyhJEjR+Lh4fFcmqqmpoY9e/awZcsWDAYD//iP/8jIkSNfuCchELwpQsS7AIoTzNGjR9m5cydWq5XPPvuMadOmERIS8kx5XHNzs9M5/dChQxgMBlJTU5k2bRoDBw4kMDCwXYUTQKPRONv026o65XXQarX4+voycOBAgoKCiI2NZefOneTk5NDQ0EBFRQWTJk0iICAAnU7nTFMdOHCAvXv3Issy8+bNY+LEifj5+XWYwVuCroEQ8U6OJEk0NjZy8uRJduzYQXl5ObNmzSItLY2goKBnBLmlpYVbt26xZcsWDh8+jF6vZ86cOcybN4+EhIQOYzKs0WicHZPNzc3tLuLw/+3jYmNjCQ4OxsPDg4yMDPLy8vj6668xmUxMmjSJ4OBgrFYrZ86cYf369bS0tDB58mTmz59PQECAEPB2wOFwdOknHyHinRilrvv48eP87W9/o66ujkmTJvHpp58+I+BKyWFeXh7r16/nl19+cebL09LSiIyMbPfo++9RphsajcZ2yYm/DLVajZeXF7NnzyYiIoKtW7fy888/8+WXX/Lo0SOmT59OVVUV/+t//S/q6upYuHAhH3/8MdHR0WIeSjsgyzJ2u73dU3NtSdc8qm5Cc3Mz169f5+uvv3ZG4MuXLyc6OtoZ8TkcDoxGIzdu3OCrr77i0qVL+Pv7s2zZsg4dHSq16Dabrb2X8kLc3d0ZNGgQHh4e+Pr6sn//fnbu3MmVK1cwGo08efKEjz76iI8++oiYmBgh4O2AMua3pKSEyMhIIiMj23tJbYIQ8U5KY2MjFy9eZMOGDTx48IBx48bx4Ycf0rNnT2clisPhoL6+nitXrrBu3TquXLlCaGgo8+bNY9asWR0i//0yZFl2DuDqSJG4gpJeiY+P55NPPsHHx4ctW7aQk5ODi4sLvXv3dtbYd5Q0VXfBZrPR1NTEnTt3uHz5Ml5eXvTs2bO9l9VmdMy/YMHvYrFYnPM3rly5wsCBA1myZAn9+vXDzc3N+TqTycSVK1dYv349Z86cISQkhLlz5zpTKB0xAlfw8PBAr9fz9OlTJElq7+W8EEXIo6KiGDBgAPv373c+OWg0GhF9v0ccDofTYerRo0fk5ORw5swZNBoNH330UasMTzorQsQ7EUpuWykPvHLlCj169GDNmjUMHz4cT09P52vtdjvFxcXs2LGDU6dO4eXlxeLFi5k3bx49e/bs8AKjGB6/z2afN8FqtfL06VOys7Opr68nPDwcnU7HnTt32LFjB15eXsTGxopovA2w2+3Y7XZsNptzbMS5c+c4ffo0N2/epK6ujtWrV9OnTx/c3d3be7lthhDxToTdbqesrIwvv/ySo0ePEhERwT/8wz8wbtw4p/MN/P8phL/dxPzjH//I/PnzCQ4O7vACDr9uIKrV6meMkjtahYEsyzx58oRNmzaxbds2oqKiWLJkCQaDgf/+3/87e/bswcPDg2XLlhETE9Ph1t+ZcTgcVFZWcufOHYqKiigsLOTGjRvcv3+furo6HA4HISEhDB06tFWuVZ0ZIeKdBJvNRklJCX/5y1/IysoiLi6OVatWMX78+GcEXHGM2bx5M8eOHcNgMLB48WI++ugjfHx8OnQK5be4uLig1+ux2WzOCpWOtvb6+npOnjzJ3r178fHxYcWKFUyaNAmAf/7nf2bt2rXs27cPWZZZuXLlKx2UBK9HSUkJp0+f5uzZsxQWFtLc3IzVakWSJFxdXYmPjyc2NrbLjzfo+CGZAJvNRkFBAevXrycrK4vAwEA+/vhjUlNTn3GCkWX5GRd7q9XK1KlTWbRoEQEBAe3WRv8mKO48ShTe0WhqauLs2bNkZmYCsGzZMsaNG0dgYCABAQHMmzePVatWYTAYOHToEJs2beLp06cdttqms6FSqYiNjeXDDz9k0aJFhIaGOtMrDocDvV7PqFGj8Pf37/I3TiHiHRxZliktLSUjI4PMzEx8fHxYsGABkydPJjAw8BlRbm5u5tq1a2zdupWnT58ydOhQ0tPT6dmzZ6cRbwWVSuX8g5QkqcMIuSzLGI1Grly5wrZt2ygpKWHGjBnOueBarRYXFxdnFdCUKVOQJIldu3Zx6NAhamtrO+xGbWcjICCApKQkUlNTiY6Oxs3NzWnC7enpSWJi4huNDe5siHRKB0aZSLhr1y4OHjyITqfjj3/8I9OmTcPf3/+Zi9Nut3Pnzh127tzJ3bt36dOnD8uXLyc5OblT5MD/HqVrU5Ikamtrsdvt7V4O6XA4sFgs5Ofn89VXX1FcXMzo0aNZsWIFoaGhz5k5h4aGsnDhQsxmM1u3bmXTpk2EhoYyZsyYLl0t8b5QrAcfPnzI3bt3CQ0NRZIkampq8PX1JSIiolvMahci3kGRZZn6+nq2b9/Ojh070Gq1fPzxx8yePRsvL6/nHhGrqqrIzMzkzJkzBAcHs3LlSgYOHIirq2s7HcHbodFonHNIKioqsNls7X4sZrOZ/Px8vvzyS27fvs3EiRP5/PPPX9qNqVariYmJ4cMPP6SkpITjx4/zww8/4OPjw8iRI7v8Y35bY7PZuHr1KmvXrsVut/Mv//IvaDQafv75ZywWCxEREe1+438fdP0j7ITIskxVVRVZWVls3boVtVrN3LlzmTVrFt7e3s8IhizLmM1mjh07RnZ2NlqtlgULFjBhwoS3shNrb7RaLQaDAY1G814NKV6G1Wrlzp07fP/991y+fJlRo0axYMEC4uPjfzfa0+l0JCQksGDBAu7du0deXh5ZWVlERER06QaUtsZut3Pz5k127dpFSUkJH330ERMnTnR2+ubm5uLm5tbu1837oOsfYSdDGWF6+vRptm3bhslkYubMmcyaNYvw8PDnLkpl0zMjI4OKigqSkpKc3Zid+VFSq9USHByMXq9v94hVkiQKCwvZvXs358+fJzk5maVLlzJgwIBX1h+rVCq8vLwYNmwY8+bNw83NjezsbLKzszEajR0m199ZUFJad+/eZefOnRQVFZGamkpaWhoBAQEEBgYyatQoJk2a1OWrUhSEiHcwmpubOXfuHNu2baO0tJTp06ezaNEi4uPjn3s0lGWZpqYmjh07xq1bt/D392f27NkkJiZ2agGHX0Xc29sblUpFTU1Nu1V1SJJEZWUlO3fu5MiRI/j6+rJmzRqGDRvmXN+r0Gg0BAQEsGDBAkaMGEFtbS179uyhqKhIVKu8JjabjSdPnrBt2zbOnTtH3759Wb58OXFxceh0OrRaLeHh4YwcObLbWN8JEe9AKO70GzZsIC8vj8mTJ7Ny5UpiYmJeKMo2m43i4mJ27dpFS0sLKSkpjBs3DldX105/8So+m01NTRQUFGA0Gt/7GpQpkRs3bmTXrl3odDqWL1/OmDFj8PDweK3v2MXFhejoaD7++GOSk5PJz8/nxx9/pKGhQUTjrUSZBXT06FF27dpFYmIi6enpxMbGPvO0phhfdxeEiHcQzGYzOTk5/O1vf6OwsJCUlBSWLl36XNXDb6mpqeHo0aM8ePCAnj17MmbMGIKCgt7zytsGxbhYkqR2abt3OBzU1dVx8OBBtm3bho+PD59//jlTp05943p7jUZDcnIy06dPJygoiH379nH+/HkaGxvb4Ai6HjU1NZw6dYp9+/YRHR3NwoUL6du3b6cPWN4WIeIdALPZzP379/n222+5e/cuw4YN49NPPyUhIeGlgmGxWCgoKODEiRP4+PiQlpbG0KFDu0weUKPR4OXlhcPhwGq1vtfPVvYlTpw4wXfffYdKpWLhwoVMmTLlrY2jPTw8GDt2LNOnT8dkMvH999+Tn5//3o+xs1FXV8eJEyfIyMjAxcWF5cuXM2DAAAwGgxDx9l5Ad8dqtVJcXMxPP/1EdnY2SUlJLFu2jJSUlN+9QMvKyjh8+DDFxcX069ePmTNnEhYW1mV249VqNW5ubs6mn/fZINPY2Mj58+f58ccfefDgATNnzmTGjBmEhYW99SarWq0mPDycGTNmEB8fz/Xr1zl06BDV1dXvaPVdC1mWMZlMnDt3jt27d9PY2Mi8efOYPHkyfn5+XeZ6fxvEN9COSJLk3KTJzMykV69efPHFFwwbNuw5c+PfIssyp0+fJisrC0mSGDZsGKGhoV1qUp5SWqhSqaivr8dsNrf5ZyrjTK9cucLGjRvJy8tj7NixrFixgqioqHcmGDqdjpiYGJYuXYrBYODEiRNcvXq1Q09rbA+Up7CCggK+//57njx5wrRp05gzZ06nmgPU1ggRbyeUdvpvvvmGvXv3EhERwf/8n/+TpKSk392UUZx68vLyqKuro1evXqSlpT0zhrYroJgT6/V6jEYjFoulzT/TZrNx79491q9fz+3bt0lJSeGf//mfCQ8Pf+dNI15eXsyZM4fx48dTWVlJZmYmVVVVYpPzN9jtdh4/fsw333zDw4cPSU1N5cMPP2x1VVB3QYh4O2Cz2aioqGDLli388ssvREZGsnLlSpKTk19ZWSLLMrdv3+bKlSu4uroyfvx4oqKiOn1J4d+jGC54eHhgtVrbNGesVKHk5uby17/+lby8PFJSUvjTn/5EbGxsm3y3Ss5/4cKFhIeHc+vWLc6ePeucF9PdUW6oP/30E9euXWPatGksWLCAkJAQIeB/hxDx94zFYuHx48fs3LmTAwcOEBUVxWeffcb48eNf2WGmPF6eOHGCsrIyQkJCGDNmTJcoKfx7lBJDV1dX50zxtsJkMpGbm+t0QBo4cCAfffRRq26qb4NWq6V///5MnToVu93Onj17KCkp6fZpFVmWKS4uJiMjg+zsbFJSUpg/f363GCv7JggRf4/Y7XZKS0vZv38/W7ZsQa/XO9uFAwMDX/l+m83Go0ePOHr0KFarleTkZHr37t3lBFxBpVLh5ubmdG9pC+x2O48ePWLv3r0cO3aM0NBQli5dysiRI9s8RaVSqfD19WXSpEmEh4dz/fp1Ll26hMlkatPP7cgozVWZmZkcP37caerd1d153gYh4u+R2tpaDhw4wJYtWzAajaxcuZJx48bh6+vbqvc3Nzdz6NAh7t+/j5+fH+PGjSMoKKjLirhGoyEwMBCbzdYmIu5wOKiqqmLPnj0cOXKEoKAg/vCHPzBs2LD3uscQFRXFwIEDaWlp4fDhw9TX13dIc+i2RpIk6urq2Lt3L7t378ZgMLBixQoGDx7c7sPPOjJCxN8DsizT0tLC0aNH2bdvH5IksWLFCsaPH/+MqcOraG5u5tSpU5jNZoYNG8aQIUO6dImVWq3Gy8sLWZbfeYmhMuZ3x44d/Pzzz/j7+7N69WrGjx//3geH+fr68sEHH9CzZ08uXLjA9evXaW5ufm+f3xFQujEzMzP5/vvv0ev1LF68mDFjxqDVartsoPIu6LoK0EFQxOLQoUNs374di8XC9OnTmTVrFv7+/q2uelAMee/evYubmxujR48mJCSkjVffvvzWcu5dRqbKzOlt27axc+dO3NzcWLRoEVOmTHGWrilmFFar9aXuQg6HA1mWnU8KNpvNuQlrsVgwm81Ou7Dforiy37t3j/z8fBobG+nRowcpKSnO6ZVPnjzpVhucjY2NXL16lR07duBwOJg/fz4TJ07E09NTCPgrEKNo2xAlujh16hSbNm2ivLycKVOmsHDhQqKjo1+rzrWhoYGLFy9SVVVFfHw88fHxXX4+hEqlQqfTYTKZMJlM78QsWZZlKisrOX78OBs3bkSSJD788EOmTp36TOVDS0sLjx494uHDhyQnJxMSEvJclUpzczMlJSWUlpY6m5Lg1/Nut9uxWq14e3sTHx9PdHQ08OsN5PHjx5w6dYrbt29js9no168fycnJDBkyhC1btnD16lXu3LlDz549u8VGntFo5MaNG2zfvp2nT5+yYMECpk+fTmhoaJd+0nxXCBFvQ8xmM7m5uWzcuJE7d+4wZ84cFixYQGJi4mvVHTscDkpLS8nOzsZisZCSkkJYWFiXj1CUMa5ms/md1Ik7HA4aGho4ceIE69at48mTJ6xZs4a0tDQiIiKeifzv37/PDz/8wOXLl/kv/+W/MH369OdE/PHjx2zYsIEzZ86gUqmQJMn5xKA8PURGRjqNI+DXm8OJEyf48ccf0Wq16HQ6bt26RVFREWPHjqVPnz7cvXuXixcvOs9zV0W52RUVFZGRkcG1a9cYPnw4H3/8MeHh4aKZp5UIEW8jHA4H+fn5bN68mVu3bvHhhx+ycuVKYmNjX7txRJIkCgoKuHPnDhqNhpkzZxIQENBGK+84qFQqZyTmcDjeOhKXJIljx46xbt06ioqKSEtLcwrGbyO+mpoaDhw4wJ49e2hububRo0cvrFMvLS3l0qVL5ObmOr01NRoNWq0Wq9XqNHuura11vuf69etkZ2cTGRnJn/70Jzw9Pdm3bx+nTp1Cp9Mxe/Zs/vKXv5CTk0NBQQGhoaFd9mYtSRIlJSWsXbuWc+fOkZiYyOeff+70KhW0DvFNtQGSJHHr1i2++uorcnNzmTFjBqtWraJHjx5v1DjS3NxMQUEB9fX1BAcH06NHjy7VYv8yfpuWaGpqwm63v/Fx22w2bt++zfbt23ny5AnDhw/nz3/+MyEhIc6IT8mDZ2dnc/jwYerq6lCr1Vit1ufy04phcnNzM1qtlunTpzNkyBB8fX1xd3enoaEBd3d3/P39iYuLc76voKCA8vJyxo8fT79+/dDr9UyYMIHbt29TWVlJeno6e/fupaysjNzcXEaNGtUl52JLkkR1dTU//fQTFy9eJDk5mZUrV5KUlNTlGtfaGiHi7xiTyURBQQFff/01V69epXfv3nzyySfOzr83+WOsr6/n4cOHqFQqhg8fjpeXV7fIFSo5cVmWqa2txWKxvJGIm81mHjx4wA8//MC9e/cYPHgwf/zjH4mJiUGtVj+XRjlw4ADFxcVIkoRaraa5ufm5BhxJkqiqqqK5uRlfX1/S09NJSUnB09MTtVrtNHbWaDTPiJK/vz8uLi48fvyYxsZGvL29MZvNSJKEXq8nMjKSIUOGcPjwYXJzc6mvrycwMLBLibgsy1RUVHD48GGOHj1K3759+fjjj+nfv7+oBX8DhIi/Q8xmM6WlpWzevJlTp07Rs2dPFi1aRHJy8ltFzg8fPqSkpMTZZq8MhurqaDQaZ7XIi6o8WoPFYqG0tJSMjAyOHj1KdHQ0S5cuJSUl5Zmcq+KStH//fq5fv47D4cBgMGC1WikvL3+uTl2SJJqamrBarQQFBdG7d28CAgKcaQCl4/Tvz1NSUhJ9+/bl2rVr7N+/n5CQEM6cOUNTUxOpqal4enqSmprK1atXKS4upqKiAn9//y5z01Y2+y9cuMDOnTtxdXVl8eLF7702vyshRPwdYbfbefDgARkZGWRmZhIVFcUf/vAHxo8f/9aNCnfu3KG8vBwvLy9GjRrVLSoW4FcRV0wx3qTcTpIkSktL2bNnDzt27CAkJIRVq1YxevTo526qim/jvn37sNvtjBw5kpqaGm7cuEFDQ8NzOXGr1epsyvH19UWlUlFZWeksM/T09CQgIAC9Xv+MAMfGxjJjxgyePn3Kt99+i8PhwN3dnbFjxzJ58mQ0Gg39+vUjNjaWGzducO/ePRISErpMjthsNnPp0iV27NhBfX09a9asYejQoULA34KucWW0Mw6HgwcPHvDTTz+RmZlJnz59WLVqFaNGjfrdkbKt+b1Kq77FYiEyMpKgoKButWuvNPrU19e/doVKbW0tu3fvJiMjg7CwMP70pz8xatQovLy8nvuMJ0+esG/fPh48eMCMGTOYN28eFy5cIC8v75mqEwWLxUJNTQ1ms5mmpiZ27dpFcXExNTU1znM1c+ZMhgwZQlhYmFOEtVotKSkpBAYGcvnyZUpKShg8eDD9+/cnPDwclUpFUFAQiYmJXLt2jYsXLzJx4sROnxdXruXLly+zadMmysrKmD9/PjNnzhRTCd8SIeJvid1up6ysjC1btnD8+HGCg4P54x//yNChQ986d62UxJWUlKBSqUhMTOySw65ehlKdoqQ6WjvJUJIkGhoaOHz4MMeOHcPb25vVq1czatQovL29nzsnjY2NXLhwgaNHjxIcHMz06dNJSEjg1q1bwK8i//ci3tTURHV1NUajkfv371NfX/9Mbr2oqIiCggLGjx/P/Pnz6du3r3NPxGAwkJCQQHh4OEajEW9vbwwGg1Po9Xo94eHh6PV6bt++TV1dHR4eHp06Gjebzdy7d49169ZRXl7O1KlT+fDDD/Hz8+tWQUlb0Hmvig6AzWajqqqK/fv3c+jQITQaDfPnz2fEiBEYDIa3zmPKskxVVRXl5eVotVqn4313EnFvb2/nDPXWiLgi+MePH2fr1q1YrVbmzJnjnFHz9+dEkiQKCws5evQotbW1pKenM2TIEAwGg3ND0mKxPJePV2rXlUmLMTExJCYm4u3t0T+6pAAAIABJREFUjclk4t69e1y8eJF9+/bhcDjw9fUlMjIStVqNWq3G1dX1pWk2xf0nKCiIwsJCHj9+THBwcKcVcbPZzMOHD/nxxx/Jz89n/PjxzJ07l549ewoBfwd0zquiA2C326moqOD48eNs27YNSZKYMWMG06ZNe20n9JchSRKPHj2iqqoKd3f3LmW/1hrUajXu7u44HA4sFssrRVwR+zt37rBhwwaePn1KWlqac8TB35+T33bU5uTk0KNHD9LS0ggJCcFqtTpF32QyPffZer2eqKgo+vXrR2JiIgsXLqRPnz4YDAYsFgv37t3DarVy6dIljhw5wtChQ1t9/lQqFeHh4cTGxnL9+nVycnJITEzslJUbNpuNkpIS9uzZQ2ZmJkOHDiUtLY24uLhOe1PqaIhv8Q1paGggKyuL//zP/6ShoYE//OEPzJ8/n6ioqHcWKdvtdgoLC2loaCAuLs6ZM+1OKPno1lSn2O12cnNz+fbbb7l06RJz5sxhzpw5xMbGvvB7k2WZM2fOsG/fPqxWK7Nnz3bOEAcIDAxEo9FQW1v73ECqsLAwVq1aRX19PaGhoURHRzufkhwOB35+fnz++eeUl5dTWlrKiRMnSE1NbfVwLV9fX3r9P/beOziqM8vff7pbrVYr54CEEFEIIYJkTBIYTB6TjQky2Rgcxp4Ze3emdqt2a2qrvrU7tetxjT0zTmCTJRA5GpOzCEKAkEAEAUIoZ6lzuL8//HuvJUxGEi24T5WK2PHe+7nnPe85n9OlCxqNhhMnTjBu3DiCg4Pb3PEvLy9n3bp1pKamEhERwfvvv0/fvn1fms351kAR8aegrq6Offv2kZaWRkNDA1OnTpU9wZvzInM6nRQXF2O1WtHr9S+8V8q9CD9xMQXnYZGo3W7n/PnzLFu2jD179mA2m9Fqteh0uvseE2GCtX79eq5cuYKvry8Oh4PLly+jUqlwOp3cunULm81GVVUV165dIywsDH9/f0JCQtDpdMTGxuJ0OuUuTfE6KpUKrVZLQkICkZGRXL9+nUuXLlFSUoKnp+djNbN4enrSqVMnfHx8uH79OuXl5U/V7fu8EM6dO3bsYPv27ej1ej755BN69+6t2Mo2M23jjHARnE4nFouFnTt3snr1aioqKnjjjTeYO3cunTp1atb6bdERePv2bbmM7WUrw9JoNHIKor6+/oHDEux2O7m5uXz77becOHECnU6HyWTi7NmznDp1ioiICPz9/X/1mIKCArKysuRmnvXr13P06FG5nLGyshKTyYTZbGb58uUcPHiQgQMHsmTJEnnKktPpvK8oCd8XcXOorq6mvr7+sd0Y3d3diYiIIDw8nPz8fGpqanA4HG1CxJ1OJw0NDezevZsNGzag1WqZNWsWr732WrPsFTUn4jhKkvSrxiz4+TxpaGjAaDTi5eXVZAPaVXCtd+PCSJIkC8N3331HWVkZQ4cOZcGCBU0qD5rz9QwGA6WlpajVaqKjo/Hz82u2528LNG72qa+vv6/Hthh3l5qayvHjxwkMDOTNN9/k6NGjXL16le3bt9OlSxcGDhzYZBNNXLyiWkStVlNYWMidO3dwOp2yoZXD4UCSJHJycigqKsJut7No0SIqKys5ceIE1dXVJCYm3rddXFjZitd4kpu88FJv164dly5doqKiApvN5vJpCEmSqK+vJzMzk1WrVlFfX8+kSZOYNm3aYw8/aS0kScJms5GZmUllZSWRkZHExcXJFWDi5rtjxw6KiopITEyU/c1dCdd6Ny6KJEmYzWauX7/O559/zvXr1xkxYgSLFi2iT58+LRJZNPYN8fDwICIi4qVbhqrVavz8/OQKlXtz4k6nk8rKStauXSvnXBctWsTYsWPp1asX//M//0NWVhY7duwgPj6+SXmhaCQaPnw4lZWV+Pj4yKLb0NCAh4cHBoOBgwcPYrPZ5FF4Ir9+9+5dVqxYQU5ODpMmTeJPf/oTwcHBcmOSJEmUlpZSWVmJm5sbYWFhBAQEPFE1hjjuNpuNsrIyTCbTM/UdtAYmk4nc3Fx++OEHCgoKmDNnDtOmTSMqKqpFX1fceJ8kkBI38gMHDrBnzx46derEn/70J2JjY1Gr1RiNRk6ePMnnn3+OSqUiODi4xcYEPguKiD8GVquVc+fO8e2333Ls2DFGjhzJggUL6NGjR4suDcUwAg8PDwICAlwuAmhphHeKqPioqalp8u81NTUcPXqU1NRUdDod77zzDpMnT8bHx4cxY8Zw8eJF0tLSOHLkCCNHjmTIkCFyJOvm5kZ0dDT/+Z//KRtrie9blA7m5uZy9uxZqqureeONN5g1a5Zcrx0aGkpgYCBVVVX8+OOPvPLKK4wcOZLAwEA5Gt22bRvXr1/Hz8+PpKSk+9aoPwwvLy+6d++OXq+npKQEg8HwWLNYnxd2u53MzEyWLVvGyZMneeONN5g8eTLt27dv0dd1OBzU1dWh1WrlPZTHQVQ/DR8+nIyMDDIzM9mzZw/R0dF4eHjINtIlJSXyLNx7G8VcgZdLFZ4Ch8PBhQsX+O677zh58iT9+/dnyZIl9OnTp0WXtk6nE5PJhNFoRJIkl8ojtiZCyCsrKykuLpb/vrKykj179vD999+jVqt57733GDNmDL6+vmg0Gnx8fBg9ejSZmZnk5OSwbds2EhISCAkJkU2vxAzPey1uRSRdVVWFp6cn1dXVuLm54ePjI0+aCQwMJDExkdOnT1NUVMTf/vY38vLy6NixI3a7nfz8fLZu3SqP0hs7duwDN1kfhJubG0FBQeh0OvLy8n51E3MlJEni7t277Nq1iwsXLpCYmMjMmTObdKu2FBaLhYyMDC5fvsyQIUPo1q3bY1cBqdVqYmNj6d+/PwUFBWzdupWBAwei0+nYvHkzubm59O3blxkzZrjskApFxB+CmISelpbG+fPn6dSpE0uWLCExMbHZasEfhNjYFJt5jd32Xjbc3d2x2+1YLBb5ezl06BBpaWlUVFQwZcoUpkyZ0sRWVq1W0717dxISEsjOzubMmTOUlJTg7+/f5Ob7sItSq9Xi4+ODm5sbdru9yXJdr9fz+uuvU11dzbZt2ygsLCQ1NRUvLy+5Xt1ut8sC0K1btycWAK1WS0hICF5eXlRUVFBZWdks042aG5vNRklJCZs2beLUqVNERUUxd+5cEhISWqWiSqVS4enpyfbt28nOzub111+nb9++hIWF4evri1arfeh37+/vz/Dhw8nLy+PIkSOkpqZiNps5e/YsOp2OOXPm0KNHD5etDlNE/AFYrVbKy8vZvHkzx44do127dixZsoTRo0c/cUT1NIg8vMViwcvL66XwD78fjVvvLRYLBoOBc+fOsWrVKm7evMmQIUOYO3fufcen+fv7ExcXh6+vLwUFBeTn5z/RyDO9Xk+XLl0ACAwMbCIEGo2G2NhY+bUPHTokR8tqtZrw8HD69evH8OHDGTRo0FNVFrm5uREeHo6vry/V1dXy3E1XEXGxMVhRUcHOnTtZu3Ytfn5+TJkyhSFDhsii96AZpSKP3fj5HmR01vjvxe/F/7fb7URGRmKxWPjxxx/Jzs4mKSmJV199lcTEREJCQvD29pbNyNzc3JoERW5ubsTHxzNy5EjOnj3Lpk2bMJvNeHt7M27cON54440WD9qeBUXE74PD4aCsrIyNGzeyfPly2rdvz4IFC+QlcWsgTk6bzYaHhwd6vd4ll3ItiYh83d3dsdlsVFZWkpWVxeeff8758+cZPnw47777Ll27dr3vd+Pu7k50dDShoaEUFRWRnZ3NwIEDHzuvGRISwqeffkppaWmTJiCBVqslJiaGuXPnMnLkSHJzc7lz5w4A8fHxchv+096A1Wo1Xl5eeHt7U1JSQm1t7X3FrLl5kODe7+9KS0vZuXMn//jHP5AkiTlz5shujAaDQRZwUekjbAesVitms1kWVafTid1ux2g0yn8WjxXzS8V7EN2zYnVmtVrl6h2j0UhOTg55eXns37+fuLg44uLi6NGjB507d8bX15fIyMhfbTL7+vrSu3dv4uLiOHDgAA6HgwEDBjBv3jyXq6q5F0XE70G0um/dupUVK1bg4+PDwoULef3111s1GhaRp91uR6fTvbTTTkR5nsVikT22L168yIABA0hJSZErCR5EQEAAISEhOBwOcnJyqK2tJSws7LGiKr1eT2JiIg6H44FLcpVKhYeHB9HR0XIlidiMbvwYETU2jkrvZwMAyGWNQvz8/f1lm4fq6mq0Wq0saI2fV3S3OhyOJmZcZrO5yVQkp9OJ2WzGaDTicDhwd3eXo2oPDw9MJpPsF+NwOLDZbDQ0NOB0OlGr1fJrGo1Gbt68yZ49e7h58yahoaFcvnyZ1atXY7Va5R/xemazGTc3N3Q6HfX19dTW1soNXQ6HA7vdTm1trfz5xHclVmLic9ntdjQajWz763A4MJvNFBUVyd+/zWajtLSUmpoacnJyCA8Pp1OnTkRGRjJhwgT69evXRMTFeRYaGip/xm7dujWZyuSqKCLeCEmSKCsrY9OmTWzatAmHw8H06dMZMGAA/v7+rbqcEpG4w+HAx8fnhSwvvN/yuXHEJ0TM29sbi8XCuXPn8Pb2pmfPnqSkpBAfH49arcZsNv9qiS2eS+SVVSoVBQUFFBYWypteQgxEFOh0OuXOSzGVx2azodFo5Ok7Yn6mzWaTxVYgShQbi41IB4lUkMFgwGq1/srITAiWaJQR76euro7r16/Lpl6SJOHu7o7JZJInCAmBE+9JvC4gR7d2u71JL4NI1YmOU/F/xapHfDbx3PeOqLPZbPJnqqurk5uaTpw4wYULF5pE0eI1G89JFSssd3d3+YYh9n8av464EYoNZQ8PD3Q6HV5eXhgMBvnYq1Qqrly5Ql5eHkajUa6zj42NJS4ujq5du9KhQweCgoJkO4PG1NfXk52dzcWLF7Hb7bIW1NTUEBgY+DSnd6uhiPj/j7AvPXLkCHv27KG+vp4JEyYwceJEwsLCWt1tTZzw98uB3m+52/j/NRayxpHavYj28saRochTCmETXiACcVE3fg6HwyFPsREpoMaPETejxkIlBLqxsZQQMBF9qVQq6uvrKSoqwmw2YzAY5D2CsrIyTp06JYtO49ew2WyyuFdXV1NcXIwkSRQVFbF582YyMjJkYyt3d3dZQBwOBx4eHrLLoFarxWg04u7uTm1trdxsYzKZMJlMv7oJNY4MAVmshYiLx9lsNvkmIb7fxsdBiKiIYMXnv379OnV1dXh5ecmfUTxedByKKFLQ+CYFPxt3if+n1WqbfAa1Wi3fgDw9PeWmFxGBi+e22WycOXOG8vJy/Pz8GDBgAHFxcfKx1Ov18s1LvJ7wQxd11u7u7vj7+8upQtEZKYRd4O7uLou4cIz08PCQxb/x+bNu3TqKiorQarWEh4czaNAgRowYQWxsLKGhoXh7e8vDrBuvqmw2G1evXmX37t3cvn2bkJAQ6uvryc3NZe/evcyfP9+l/dxfKhF/0DJW+DwcO3aMH374gbKyMkaNGsWCBQto3749bm5u8oXZWCjv99zi943F734RZ2ORvp9Y19XVyZNiamtrqa2tpbq6uokoC2FuLL7i85hMJvmisVqtmEymJhejmAFpsVjkumiVSoXFYkGn09HQ0EBDQ4P8fzUajSy6RqOxiU+IxWKRI6Ta2lq5ikIsg41GIxaLRY6abDabbGplsVjkzy6GP4joUIh4QUEBRqMR+PmGcOrUKS5duoS7u7tcOXLvTUJ8dpE3dXd3p6Ghgc2bN8s3ZPE64oYiSZIsuuL/iFSKiBbd3NzkY6DVauVIUTy+ceSpUqlkEXM6nej1ejkC12g08p9FygF+FlmxiSaiaBE1h4SE0LNnTzp06CBHzcLlUZIk/Pz8ZAEV78XLy0teUdjtdnx8fNBqtfJjxbkDPwu++N7FZroQbnHe2Gw2iouL5WOSlJTEp59+Snx8vPy9i5uL+JzisY1fS6x2Gn9fjc/hxtfCvd/pvdehaNrZs2cPoaGhtG/fnhEjRjBmzBjatWv3UA9+SZIoLy9n9+7dZGRkEBISwhtvvMGZM2e4evUqa9as4fXXX3/qIeetwQst4veLIMUJIU4wEf1lZ2fz1VdfcevWLcaPH8+cOXMIDQ3FYDA02ZQRoiFORvGryWTCbrfLJ7o4+cXSWwgW/HyxWCwWqqqq5A0eEfFptVrsdjtVVVUcO3YMi8VCUVERaWlp/PTTT7JYiYhXpAAaR2ZWq5WqqipUKhVms1n2/2gsMkKQRDQjHntvtCmEWFyAYrkOv8yRFFGgEDuxHL1XzESELi50u90uX2DiWImbi3iPFRUV8opA5Cx9fHyQJAmdTif/CsgXmYiitVqtXN+t1+sxmUzyplnj6E4It91ux9vbW75hiRtMYGAgdrsdu90ui6RWq5W9NLRarSzijaNhjUYji6jT6ZQrJMR7FQLfOC3j5uYmR33CG/3LL79k06ZNvPLKK/zHf/xHk1r3xhHl/cpQH/TnB3U33iue915PZWVl7Ny5k+LiYgYMGMDixYsZMGDAU+0XNUdkK84do9FIWVkZ48ePZ8KECXTt2lW+ST1MwC0WCzt27GDHjh2o1Wrmz59PSkoKGRkZfPHFF9y8eZNdu3axcOFCRcQFYrl7bxOLOIlF/g5+qeEVIgc/Ryp1dXXygRHCWlVVhcFgkCOouro6eQms0WgwmUzyv4sLJTQ0lKqqKu7evcuZM2fIysrCy8uLoqIiUlNT5WYbsUEjLjzx58YRWENDgxzRNhY5IWriR7znxnXP4kdEgCJaFRtPFRUV/Pjjj3I32v0ivsZCKl63sWAJB0AhyB4eHrLAWa1WOWcaEhLSJB8sIs7G0bv4d51OJ0d2JpNJntwuxF386HQ6goKC5FyleJ9WqxU/Pz/5mImbjoeHh+y/8e233wI/3/j69OnDRx99RLt27YBf6sfF48VFJpbMQlCFSN+7Gmo8yLjxd9j4XAWaRN/inBQC+iDhbHyzEn9uHKE2Pr8bn//3io6Pjw/dunVDp9Ph5uZGcHDwYzeyiOdrDiRJorKykr1795KWlkZUVBTvv/8+gwYNeu6pBhEsjRgxgl69ehEWFvZYE7BMJhOZmZmkpqZSW1vL66+/zqRJkwgKCmLQoEFcvnyZlStXsmnTJsaNGycHB65Gq4t4fX09x44d49SpU1gsFry9vZsshaurq+VUgLhIxBxDtVqNXq+nurpajhDF0rC2trZJpCuWoEJk742mxYVeV1cnb5CIXNvNmzcpLS2lvr5eXtY2XlKKHzc3Nzw9PeXdcRExiuWwVqvF09NTfh9CNES07HQ6iYiIkKNOvV4vi63VaqWwsJDjx4/j7u5OUlISPXr0wNfXV46+xQklBEqn0zVZoosNMG9vb3x8fJrkXcUNQUT+QsRFa7j4fsX32Tg32lgcRc28SDuIxzQWLHHTvPffGm8kNl5SG41GDh8+TG5uLr6+vnIUHRgYSN++fYmMjHxgpYj49X7L8raIm5sb3t7e8vcubkitTVVVFfv37yc9PR29Xs+8efNITEx0iTZ0lUqFv78/w4YNQ6/XP5bQStLPBnNHjhzBaDTSp08fpk6dSlRUFBqNhoCAAMaOHcudO3fkDdOoqChFxOHnu9/+/fvZu3dvE2ETAiEixca5Q/hl915sZAHyRodYVsMvXs6Ny/KsVqssPELk3N3dyczM5O7du3h6epKQkEDPnj1lXwxPT0/q6+vx8PCQI2URkQmxd3d3x8/PT06XiKhfTIQR0a6IxhtvZokctci5O51OdDqd3JBgNBrJyMjg0qVLeHh4MHXqVMaPHy9/1sYRYOPIrnHk15h7W5/vjfjuje6fB2IFcuPGDbZv387Vq1cZMmQIERER7N27F+C5CtnzwmAwAPxqQ641EKWuJ0+eZN26dZSWlrJw4UKmTJnyK3vf54W41p60gkutVhMVFcXUqVOJj48nKSlJTgu5ubnRtWtX3n//fXJycujYsaPLBgStLuIeHh4kJyfj7e0t79KLnK7YTNHr9fIJIpaRItprnEMVHhl6vV7e0BLLd7H7DsivI6JHgIqKCv785z9TW1tLv379+OCDD+jdu7cs8CJX2XgZ3lg0G0ea9wrm4xzs+1WdNMZisVBbW0tISIhckdGSQ2Vd4QR1OBzcvXuX9PR0zp07R5cuXfjoo4+oqqoiMzNTXk29TIhUQePVZGu/dl5eHqtWreLWrVuMHj2at956677zStsSKtXP/jezZs2SA7R7Ax0vLy95/J4rf9ZWF3EfHx/Gjh3L8OHDm0R/jSsSREQJD96Aafxvj9qgaYzD4eDOnTukpqZy+fJlBg8ezLvvvsurr77apJ2+8SrgUc/9NAL4qMc07tYzGo0YjcYmNb0vGna7nZKSElasWMG2bdto3749v/3tbxkwYACHDh0CkJtQ7ldi+SLT0NDQpIGntbBYLNy4cYOvv/6aS5cuMXz4cLmD0ZVF7XERq3bx+wfh6p+11UVco9Hg6en5QDOZljxR7XY7t27dYsOGDezevZtXXnmFefPm0bdv3/tuhDzP6FQsET09PeVqE5F3ftFwOBwUFxezbt06tmzZQmhoKLNmzWLw4MFNrEUNBsMDp/u8qEiSRG1tLcCvzLtaEqvVKpfYHT16lLi4OCZNmkTHjh1dXtSeBFdYgT4rz+1oNI6iHxZRNxciAt+2bRs7duwgLCyMBQsW0K9fP7kbzJUQkXhISIhcciiqW14khP/G/v372bx5M2q1mqlTpzJixIgmKTVR9XNvI9GLjkhpiA3O1vCUF8HOzp07+emnn4iMjCQlJUUOdhRcixfnlvoAJEmSfSc2b97M9u3bcTqdLFy4kAEDBuDn5+dyAg6/1Fa3a9cOlUpFdXU1ZrP5eb+tZqehoYFjx46xdu1aysrKmDx5Mm+88YZctQM/5yY9PDzkvPDLhNjsFSLeGq9XVVXFtm3b2LZtGxqNhtmzZ/Paa68RFBTkktfKy84LL+JOp5Py8nLWrFnDypUrsdlszJ8/n4kTJ+Ll5eXSJ6VGoyE8PBy1Wi2bH71I2O12Tp48yapVq7hx44Y8dDoyMrJJ7biXl5dcn19TU/PSROIiABFDklsDh8PB/v372bRpEyaTiRkzZjBhwgQCAgJc+lp5mXmhOzbtdjt37twhLS2NNWvW4O3tzezZs5kyZQqenp4un9tTq9UEBQWh1Wqpqalx6ckuT4LolLt27RrfffcdN27cYNCgQcybN4+IiIhfpQwaVws19sp40ZGknz3ly8vLm3QJtxRms1lucDGZTEycOJGZM2fi6+vr8tfKy8wLK+KSJFFYWMimTZtYv349VquVCRMmMGbMGLlt2dVRq9W0b98eX19fampqKCkpeWRpYlvAaDRy5coVvvvuO3Jzc+nXrx8LFiyge/fu9+3+a9wL8LKJuLBr8PDwIDQ0tMWOvcViIT8/n6+//pqCggKGDh3K5MmTiYiIeGErol4UXF/JnpKGhgaOHDnChg0bqK6uZsSIEUyePJno6Og2c1KKieyBgYHU1tZy+fLlX9mftjUsFgu3bt1i9erV7Nixg06dOjFz5kz69esn+5Lci06nk42eDAZDm/78T4Ldbpc7mL28vAgPD28REbdardy5c4f169ezd+9ekpKSSElJoXv37i/dcO62yAsn4iJ6yc3NZevWrRQXF5OcnMxvf/tbunTp0qbGnKlUKrkcU4wlE9YCbRGn00lRURHp6els374dHx8f5s2bx6BBg/Dy8nrg40RnrDAOe1mwWCxcvnyZ8vLyJkOamxOn00lJSQnp6els3LiR4OBgfve739GvXz/ZAkLBtXnhbrNms5kLFy7w17/+lcuXLzN06FA++ugjunbt2uZqrFUqFb6+vnIEVlxcTG1tLR4eHm1mNSGQJImKigrWrFlDWloaer2e999/n6FDhz6y6kL0FjidTtnm9mXAarVSWlqK2WwmLCwMPz+/Zn1+p9NJdXU1q1evZt26dbi7u/Nv//ZvxMbGtlo9usKz80JF4gaDgezsbL744gtycnLkZp6ePXs2mWrSVlCr1Xh7e8vDfktLS8nKympzeWFhqZqWlsaWLVvw8/Nj3rx5TJky5bGsBESFCiC7X74MGI1Gbty4IfuAN+cqUkwN2rZtG1u3bsXDw4P58+czfPjwB6a1FFyTF0bEzWYzOTk5LF26lOPHj9OzZ09mz57NK6+80qZPSjGJW3ib5+TktCkRdzgcVFdXc+DAAdLT01GpVEyaNIlp06YRFhb2WKsj4cutUv08JOJlEXFRmQIQERHx0JTTk+B0OqmpqeH48eOkpaXhdDp54403mDx5Mv7+/m1ulfey0+ZFXOTAr1+/zsaNGzl06BBRUVHMmzeP/v37N/sS9HnQpUsXoqKisFqtnD9/vslMSVdGkiTq6uo4deoUy5Yto6ioiJEjR/LWW2/RoUOHx64QUqvVcvem6FxtC5//WRDjyurq6vDw8CAuLg4fH59nfl5xTC5cuMCqVavIz89n5MiRzJgxg8jIyGZ45wqtTZsXcafTyZ07d1i2bBnbt28nOjqaf/mXfyE5OdklvI6bg4CAADp16oQkSVy4cIG6uroWrxluDsQsxq+//pqMjAwGDx7MjBkz6Ny58xOtjBq7RRoMhhfSfuBeRM32jRs38PX1JTQ0tFny1Ha7nTNnzvDNN99w/Phx+Zh06tSpTZTdKvyaNn3UrFYrBQUFfPXVV+zdu5fQ0FDef/99Ro0a5fLdmE+Cl5cX3bt3x9/fn5KSEq5cueLSRlCi0/D8+fOsXbuW3Nxchg0bxkcffUS3bt2eWCyEo6SwI27rZZaPg8FgID8/n6qqKkJDQ5vFhtjpdJKbm8v69es5e/YsPXr0YMGCBXTu3FkpJWzDtFkRt9ls3Llzh1WrVrFnzx7Cw8OZO3cuQ4YMkeckvii4ubnRqVMnYmJisFqtHDp0yKW7N202G9nZ2axcuZKcnBzi4uJYsmQJcXFxD3S+S/e2AAAgAElEQVSvfBhqtVoeAtx4OtGLTFVVFbdu3cJms9GhQ4cnGsl2P2w2G7du3WLVqlWcPn2ayMhI3nnnHXr16iXPolRom7RJEReOhFu3bmXz5s14eHgwY8YMxo0bR0hIyPN+e82OSqUiPDyczp07I0kSx48f59q1ay7prS2moaenp3P06FG6dOnCokWLGDhw4FOLhSi1FGWGL3okLurpb9++jUajoVevXs8k4jabjZKSEjZt2sRPP/1EYGAg06ZNY9iwYU1mnCq0TdqciEuSRE1NDbt372bt2rUYjUZmzpzJuHHjWqyjzRXQ6/UEBAQgSRK5ubn8+OOP5Ofnu5SzoRjq/NNPP7F161Z8fHyYOnUqo0ePxsvL66lzrmJcn1arxWKxtJmN3afFZrNx9epVCgsL8ff355VXXnnqyhRxvezdu5dly5YhSRLTpk1jxowZbcZ+QuHhtKkjKEkSJpOJzZs3y9PoFyxYQEpKygst4PBLwwv8vBewZs0a/vKXv3Dp0iWXsWetra3lwIEDfP311zidTubMmcOQIUOaxYNaTK+vr6+noaGhTWzsPi0NDQ1cu3YNk8lEQkICXbt2ferv0GazkZmZybJly6ivr2fOnDmMHz+e4ODgF/p6eZloM7sZomFk//79rF69mvr6ekaPHs2MGTMIDg5+4ZeEolZaUFVVxb59+7DZbHzyySdyvvl5XZj19fXs2rWLpUuXUltby+zZsxkzZkyzeVC7u7vj4eGB3W5/4UsMi4uLyc/PR6fTMXTo0Kceh+ZwOMjKymL58uXcvXuXYcOGMWXKFCIiIpQI/AWiTYi4WBIeP36cb7/9lpqaGkaPHs3MmTNp3769XLnwIqPRaAgMDJRL7ex2O5WVlRw4cAB3d3emTp1K7969CQsLa9WWaWEre+LECdLT06mqqmLs2LFMmzaN8PDwZrM6ECZYNptNHhz8oiGGfWdlZXH79m18fHzo1avXfZ0dH/U8drudq1evsnz5crKzs+nZsyfz58+nXbt2bco/SOHRtInbscFg4OLFi3z//fdkZ2fTr18/Zs2aRa9evXBzc3vhBVwgNvTEj8PhoK6ujoMHD/L999+zd+9eysvLW03gRHorNzeXpUuXcuPGDZKSkli0aBGxsbHNOsrL3d0dvV6PzWbDZrM12/O6Ek6nk9raWo4cOUJlZSVRUVHExMQ88SpTlN6uXr2aw4cPExwczLx58xg6dKhiavUC4vIibrfbyc3NZdWqVZw5c4ZevXoxe/Zs4uLi2pyh1bMgJryoVCrUarX8q7+/P8OGDaNbt25UVVVx+/btVssX22w2CgsL+ec//8np06eJi4tr4lXTnAgRf5GrU+x2O/n5+WRkZODm5ka/fv2eOPXhcDgoLS1l5cqVpKam4uvry9y5cxkzZswTR/QKbQOXTqc4HA5ycnL49ttv5Ynbv//97+nbt+9L57LmcDgwGAxoNBr8/f2xWq2YzWbCw8P58MMPiY6Oxt3dXZ6C09LYbDYuXbrEunXr2LVrl2w2lpSU1CKvb7fbsVgsL2w6RZIkjEYjJ06coKamhm7duvHqq68+cVmmqA5KT08nMDCQ9957j/Hjx7fKfE6F54PLirjZbOb69et89913nDx5kpiYGN577z0GDBjwTOVqbRWTyURNTQ3JyckMGzaMwsJCtm/fTm1tLfn5+cTGxjaLt8bjIEkSN27cYM2aNezevZuuXbuyePFi+di0RLQnInGLxUJtba3LVOQ0F6I8c+/evQAkJSXRo0ePJ/ouq6urOXToEBs2bMDDw4Pp06czYsSIp94YVWgbuKSIm0wm8vPzWb58Ofv27SM8PJxp06YxfPjwZ+5ca6vYbDb8/f157733SEpKIj8/nxs3bnDq1Cn27dsnm/i3dPu0EJtt27Zx8OBB3NzcmDt3LoMHD8bPz6/FxMLd3R1PT0/sdjsGg+GFKzE0mUzk5eWRlZWFv78/iYmJBAcHP9ZjnU4nJpOJEydOsGHDBoqKipg4cSJvvfUWYWFhL3zl1suOy92e7XY7hYWFrFu3jvT0dPR6PbNmzXrpJ257enoyYsQIRo4cSUREBHFxcQwdOhStVsuJEyfIyMigrq6uRd+Dw+GQyzy3bt2KzWbjrbfeYurUqS0+TFer1aLX6+X9gBcJMTBj//791NTU0L17d7p16/ZYKUMh4BcuXGDlypVcvnyZXr16MW3aNNq3b69UorwEuJyI19bWsmPHDtavX4/T6eTDDz9k0qRJhIeHP++39lwJCwtrMofS39+foUOHkpiYKM9HzM3NbdE0Q0NDA0ePHuXLL7+krKyM8ePHs2jRolbxoNbpdAQGBqLX6x+5sdnW8uVOp5PLly+zd+9e9Ho9Y8aMISYm5rFuVhaLhezsbD777DOOHz9Ojx49+OCDD+jZs6ci4C8JLiPiDoeDkpISNmzYwNatW/Hz8+OTTz5h/PjxzdYw0pbRaDRNKj7UajVdunRh6tSp+Pj4cO7cOQ4ePEhVVVWLvH59fT0ZGRl8+eWXVFZWMnXqVObOndtqnX8ajUaeeF9WVvbQMsO2dq5UVFRw8uRJysvLiYuLo3///o+1ESk8hNauXcupU6eIjY1l+vTpJCQkKK6ELxEuIeJi2vbq1atZsWIFNpuNefPmyd2YL1Mp4eMiTKEGDx7MsGHDsNlsHDlyhLNnz2Kz2Zo1GhXR3tq1a7ly5YrsQR0TE9Oqx0Y0sYjBEC8CDoeDjIwMDh48iE6nY8qUKURGRj7ye5UkiaKiInbv3s2hQ4fo0KED77zzDoMHD262CUAKbYPnLuJio2zXrl2sWLGCiooKXnvtNSZMmEC7du2UiOIhaLVaoqKimD59OqGhoeTl5bF582bKysqaZeNPTE26fPkyGzZsIDMzk/j4eObMmUPXrl2fylb2aRGDIYA2653idDqx2+3ye3c6nZSVlbFhwwZu3bpFly5dGDt27COn2kuSRFVVFT/99BMbNmzAbDYzadIkRowYQVhYmFKJ8pLxXI+2JElUV1dz9OhR0tLSMBgMcsu2Mirq0ahUKvR6PcnJybz22ms4nU4yMjLIzMxsFpta4UH95ZdfsmPHDqKiovjjH//IwIEDW73uWKVSodVq0Wg02Gy2NifiTqeThoYG7ty5g8FgkG+Qe/bsISsrC09PTyZOnEjXrl0fmsuWJAmbzcbx48dZuXIlJSUljBs3jmnTphEYGKgI+EvIcz3iBoOBH3/8kb///e/cvHmTMWPGsHjxYuLj45WT8TFRq9UEBAQwceJEunfvTmlpKcuWLePGjRvPNFBZdP4tW7aMQ4cOER4ezuzZsxkwYAAeHh4tknd+1E1H+MY0NDS0uTpxh8NBfn4+S5cuJSsrSy6j/eGHHyguLqZPnz5MmTLlkRvEFouFvLw8vvrqK9nU6oMPPiA6OlpZtb6kPJejLqKQI0eOsHHjRsrKykhOTmb27NnExMQou+pPiFqtplevXowaNYqCggLOnj3L7t27CQoKIiIi4okFV2wy7969m61btxISEsLMmTMZMWJEiwn4oxAujh4eHtTU1Mh5/7ayiSl8ZjIyMnA4HKhUKnbt2kVeXh4hISEMHTqUsLCwh36e+vp6cnJyWLlyJdevX2fgwIGkpKQQExOjCPhLTKsfebGszMzM5PvvvycvL4+4uDjmz59Pnz59nqudalsmKCiI119/natXr7Jz50527txJfHw8Xl5e+Pn5PfbzSJLErVu3OHjwIOvXr8fd3Z2JEycyduxYQkNDW/TYPOy5hYujl5cXDQ0NcrqorZwrwu2xoqKC3bt3U1hYyPnz57Hb7QwbNowRI0Y8tC7cbrdz7do1vv76a44dO0ZSUhKzZ88mKSnppbOgUGhKq4q4iEauXLnCl19+yblz5+jcuTPTpk1jyJAhioA/AxqNhri4OGbOnMm1a9fIzc1l3bp1BAQEPPaFLkkSdXV17Nq1i9TUVGpra5kxY0YTy9/nhVqtRq/X4+HhgcViccnRdA9DiLjZbKagoIDr16/jdDpp164d48aNo3379g+8KTkcDoqLi9m9ezdHjx4lMDCQd999l1dffRVfX9/n8GkUXIlWTTw7HA6uX78ut9PHxMSwePFixo8frwxrbQa8vb3p06cPM2bMwNfXlz179rB8+XJu3br1WIJns9k4efIk6enplJaWMmbMGN599106dOjw3Ms8xcamm5tbm5x4L1KIokzSarXidDrR6/XU1tZSUVGB2Wz+1YatsKdNTU1lw4YN+Pr68q//+q/079+/1bxyFFybVovEHQ4HFy5c4IcffmDv3r0kJCTw+9//nuTkZOVkbEb8/f2ZOHEihYWFrF+/np9++gmNRsPvfvc7OnXq9MD9BqPRyPnz5/niiy8oLi5m6NChLFiwwGXmMIqBCaI6o7lr4Vsau93OlStXMBqN8vt2Op0UFBTw2WefsX//foYPH864cePkSVVimtXGjRtJT09HpVLJtrJK0KMgaJWrU3iCL1++nMOHDxMWFsaHH35IcnIyAQEBikFPMyAGRbi5uREeHs706dMZPHgwTqeTH3/8ke+//57i4uL7djrW19dz/vx5vvrqK65fv86AAQOYP38+Xbp0cZmhGyqVCo1Gg4eHB06ns02JuIjCr1+/jsViAZD94HU6HQEBAQQFBeHj44NWq0WlUuF0OqmpqeHAgQOkpaVhsVgYNWoUkyZNwtfXV7lmFGRaPBK3Wq2UlJSQmprKgQMH8PDw4O233+aNN97A29tbORmbCafTKQuDm5sbPXr0YN68eVRWVnLy5Ek2bNhATEwMkydPblKxIqYmLVu2jAMHDjBgwAAWLFhAUlJSqzbzPApRE+/n50dRUVGbSqdYrVaKi4u5ceMGFosFd3d3/Pz8iIqKonfv3owePZqePXsSFhaGn58fKpWKhoYGsrKyWLt2LXfu3GH8+PHMmDGD9u3bu8RNVcF1aFERt9vtcjfm5s2bcTgczJo1i8mTJz9RxYTCo2mc8lCpVOh0Ovr378+sWbO4desWN2/eZNWqVURGRjJy5Eg8PT2RJIlr166xYsUK9u7di6+vL0uWLKFfv34uOURAiJ/ZbG4zdrR2u13elMzLywMgOjpaTp00nosqxNlqtZKXl8f69es5ffo0gwYNYs6cOcTHxyulhAq/osXOCEmSKC4uZvv27Xz11VeYTCamT59OSkoKYWFhLfWyLyyPKqe73795eXkxZswYjEYj//3f/83Vq1dZs2YNnp6eJCcn09DQwNq1a9m3bx/e3t78/ve/p1+/fi7rvSHSKTab7b6bgK6GJEmUlpayadMmvvrqK2pra+nRowdz585l4sSJhIaGyumqxscvLy+PZcuWsXfvXjp16sTHH39MbGys0j+hcF9aRMSF09ymTZtYtWoV9fX1vP3227z99tu0a9fOJTbK2hpPuoQWoi+6Oa1WK3//+985efIkDQ0NFBYWUlZWxp49e/Dz82P69OlMmjQJHx8flz0+Il1kt9ux2+0unU4RHuFbtmxh9erV1NbWkpiYyMcff8ygQYMIDg7+VVRtt9spLy9nw4YNHDt2jIiICBYuXEjPnj2bdei0wotFs4u4w+GgvLycbdu2sXnzZurr6xkzZgwpKSl06tRJORlbCSH6bm5uBAUF8eabb1JSUsKWLVvIysqiuLgYk8mEm5sbb775pmyi5aoCDj9/Fj8/P2w2G0aj0WVb7202m5xGXLt2LeXl5fTs2ZM5c+YwZMgQgoKCfvU9OxwOKisrSUtLY/v27QQGBjJ9+nRGjRr1Uo4jVHh8mvXMcDgc1NTUsHfvXr7//ntKSkpITk5m8eLFdOnSRekse05otVrZ+2T48OFYrVZycnK4efMmISEhJCcnEx0d7fJCodVq5SHRBoPBJUXcarVSVlbG9u3bZU+gbt26sWTJEt588837mlSJJqszZ86wYsUKLBYL48aNY/LkyYorocIjabazQ5IkeXDAP/7xD+7evUtycjLvvfeePJ1e2VV/fqhUKqKjo+natSteXl5oNBo0Gg1VVVXcunWLuro6l05PwM+bt+7u7i6bCxedlenp6Xz22WfcvHmTmJgYZs+ezZQpU/Dz87tvNZbFYiErK4ulS5dSVFTEmDFjmDhx4lP53ii8fDRbOqWhoYETJ07w97//nbt37zJkyBBSUlLo2bOnEkk8ZyRJwuFwcPHiRQ4fPozD4SA+Ph6z2UxxcTHfffed3GIfEhLy3LszH4Soq1apVE18uV0Bh8PBrVu3WLduHcuXL6e0tJR+/foxb948xowZ80DjMLvdzpkzZ/jhhx+4dOkSEydOZO7cuXTq1Em5bhQei2YRcYPBwLFjx1i5ciV5eXkkJibyzjvv0LdvXyUH7gKYzWYuXbrE999/z/Xr10lMTGTWrFnU1NSQlpbG7du3WbFiBdXV1UyePJnY2FiXrFARIqhSqairq5MbZ54njQdnrF+/nt27d1NXV0dSUhJLlixhyJAhBAYGPlDAc3JyWL58OVlZWfTo0YNFixYpqUeFJ+KZRNzpdGI2mzl16hQrVqwgKyuLTp06kZKSQmJiIv7+/spy8DljNpu5ffs2S5cu5cCBA8TGxpKSksLo0aOxWCz4+Piwbds2zp49y+rVq6mqqiIlJYX4+HiXq1RRq9V4enri5ubmEiIu2uKvXLlCWloau3fvxmAw0Lt3bxYtWsSIESMemEKxWq0UFhaSmppKRkYG7dq1Y968efTp00dJPSo8Ec8k4jabjatXr/LFF19w8eJFwsLCmDNnDuPGjcPb21s5EZ8zNpuN27dvs2bNGjZt2kRoaChTpkxh7Nix+Pv7AzB16lSioqL49ttvOXjwIFu3bqWurk62ORUi5ArHUqvVEhwcjJeXF5WVlRiNxuf2XpxOJ3V1dWRlZbFy5Ur27duHJEm8+uqrzJs3j3Hjxskt9PciKrg2btzI5s2b8fb2ZtasWXLaRUHhSXgmEW9oaGDLli2cO3eO6OhoFixYwPjx4x85I1ChdSgvLyctLY0ffvgBh8PB1KlTGTlyZJMVkqenJwMGDMDX15d27dqxa9cufvrpJ+7cucPEiROZPHky7dq1w93d/bkfU5ET12q1VFdXPzcRF86C+/fvZ+XKlRw/fhydTsebb77JnDlz6NWr10Mbc2pqati3bx/Lli1Dq9XKgY8rprAUXB/Nn//85z8/7YNVKhWenp7U1tYyefJkfvOb39y3BlahdREla+vWrWPdunUAzJ49m7fffpvo6OgmG5fCWCowMJBevXrRtWtXKioquHbtGufOnSMnJwetVoufnx+enp7P9dhKkiSXsEZERDBkyBAiIiJa9fXNZjPZ2dmsXLmS1atXk5eXR0REBHPnzmXu3Ll069btodOP6urq2LdvH9999x2VlZV8+OGHvPnmm4SGhio+QgpPxTNF4jqdjj59+vCHP/yBsLAwAgMDlRPxOSPytJs3byY1NRWHw0FKSgqzZ88mMjLyvhtmYuCC8FUJCQlh48aNHDx4kCNHjnDnzh1GjRrFuHHj6NGjh1yi+DAcDgdqtbpZo3e1Wo2Pjw8+Pj6YTKb7OjK2FBaLhbKyMi5evMjatWs5ffo0ZrOZzp078/bbbzN69GjCw8MfuGIRQyGOHTvG2rVrKS4uZuzYsUyaNImwsDCXrQhScH2eScTVajVeXl4kJCQ01/tReAYcDgd1dXWcPn2ab775Rq45njt3Lh07dnzk48XQ5UGDBhEeHk779u3ZsmUL+fn5rFq1iitXrvDWW2+RmJhIaGgoer3+vmIuJji1hOe1m5sbGo2G+vr6Ft/YdDqdWK1W6uvryc/PZ//+/ezbt4/Lly/j4+PDwIEDmTZtGqNGjcLPz++BqxTxfZw/f17+HhMSEli8eDERERGKJ4rCM6FYor1AGI1GMjIy+PLLL8nPzycxMZGZM2cSExPzRM/j7u5ObGwsS5YsIT4+nqVLl5KZmcm+ffvIyspi7NixTJ06lR49euDn54dWq/2VgInJ9M2J8E5RqVRYLJYW69gUdfVCvE+cOMH27dvJzs5GkiTi4+MZP348Y8aMoUuXLo8UYeEl/te//pXMzEz69OnDkiVL6N27t5J6VHhmFBF/QbDZbHKu9uzZsyQlJfHBBx+QlJT0VNGwSqXCx8eH119/nQ4dOrBr1y72799PTk4O69at48yZMyQnJ/Paa6/Rv39//P39mzjytdTkGXFjsNvtLTLx3ul0YjQauX79OocOHWLTpk1cu3YNu91OdHQ0I0aMkH2A9Hr9I61hHQ4HBQUFpKWlkZGRQa9evXj33XcZNGiQIuAKzYIi4m0cMbPxwoULpKamkpWVRffu3VmyZAmDBg16Jl9wkSvv2rUrs2fPpn///hw8eJCDBw9SUFAgu+0lJyczZMgQOnToQFhYGEFBQS1SlijmbGq1WoxGI5WVldjt9mfOJ4u0SW1tLbdv3+bs2bMcOXKEixcvUlNTg16vp1+/fkyaNIkBAwYQGRn5WNU6kiRRUFDAli1b2LVrFxEREcycOdPlBm4otG0UEW/jWCwWcnNzWb16NUeOHCE4OJi5c+cydOjQBzaaPCk6nY6IiAgCAwOJiYkhISGB/fv3c+HCBUpKStiwYQPnzp2jffv2xMfH07t3b6KjowkPD5ebc5or6lSr1ajVanmjsaKi4qlMopxOJ06nk4aGBoqKirh27Rp5eXmcP3+evLw8qqur8fLyYtSoUXTv3p3BgweTkJDw0Nx3Y4QV7b59+9i2bRuSJDF9+nSGDx9OUFDQcy/XVHhxUES8DWOz2SgrK2PNmjXs2rWLgIAA3nrrLaZMmYK/v3+zLtdVKhUeHh5ER0cTERFBr169uHjxIocOHeLs2bNcvXqV7Oxsjhw5QkxMDL1792bYsGF07NiR4OBgeX6k2Jh82hSPWq1Go9FgNps5f/48MTExD22sgV/mjzocDnnSvMFgoKamhtzcXI4ePcrp06cpKirCZrMRERFBYmIigwYNYsyYMURFReHl5fXYU3WcTicWi4VTp06xfv16ampqmDRpEjNnziQ8PFyZzqPQrChnUxtFkiSqqqo4cOAA27ZtQ6fTMWvWLGbNmkVQUFCLva5KpcLd3Z2uXbvSsWNHhg4dyrVr19i9ezcZGRnk5eVx9uxZMjMz2bNnDx06dKBXr1707t2brl27EhUVhZ+fHzqd7plWCfX19Rw7doyEhISH3hBEqsRkMlFeXk5hYSF3797l0qVLXL16lZycHCoqKgDw9/fn9ddfZ/LkyfTs2ZOIiAg8PT2f+L2JTuZvv/2W/Px8hg8fzty5c4mMjFTy4ArNjiLibZSysjJ27tzJ0qVLcTgcTJs2jfHjxxMYGNhq70E0CSUmJtKxY0fGjx9PVlYWp0+fJjc3l5KSEs6dO8eFCxfYtm0boaGhdOnShdjYWDp37kxERIQcpev1enQ6nZx6uXdkmVh1nDx5ksLCQiwWi5zmUavVOJ1OOcoWZYEGg4G7d+9y9epVrl27xu3btykqKqKuro76+noAvL29GTJkCAkJCXTs2JGBAwcSFRX1wPLJRyEGT3/99ddcunSJAQMGMHfuXDp06KCkUBRaBJXk6ibSCr/CbDaTnp7O999/T1FREePHj2fBggV06dLluXlviIi3rq6OkpISbt26xbVr17h48SLZ2dnU1dVhtVrlOZl+fn4EBAQQFBREQEAAgYGBBAYGEhwcTEhIiNyU5OHhgcVioaSkhKysLI4fP052djZGo5Ho6GgWLlxI//79sVgslJeXc+fOHerr6ykvL6ehoYGysjLKy8sxGAzY7Xbc3d3x9vYmKCiIxMREunbtSo8ePYiKisLHxwc/Pz+5yuZJEcM2Pv/8c44ePUqfPn1YvHgxgwYNUgaDK7QYioi3IYTtaVZWFv/v//0/8vLyGDRoEH/4wx/o1q2by1Q8iKi4oaGBgoICzpw5Q3l5OaWlpZSUlFBYWEh9fb0s7PBzE49Op8PLy4vAwEBZxHU6nSzQxcXFVFVVyfM1fX196dChAyEhIZjNZqqrq2loaJBfX6PRyM8ZEhJCREQE0dHRxMTEEBkZSXx8PAEBAXLU/SyRstPp5MaNG6xYsYL09HQCAwP593//d5KTkxU3T4UWRRHxNoJo275x4wb/9V//xdmzZ+nbty9//OMfSUpKclm7A7Gh6HA4MJvNVFZWynnpCxcucO3aNcrKyqipqcFsNmMwGIBfInuHw4HNZsPhcOB0OuW6cEmSUKvVaLVauV5b1LZHRUURHBxMaGgonTt3JiYmRt6Q9fPzw93dHY1G02z5aWGI9eWXX5Keno5arebTTz9l0qRJ+Pr6KgKu0KIoIt5GsFgsXL58mf/93//l0KFDvPbaayxZsoSBAwe2ibZtcZqJ0j4RLRuNRmpqaqiurqaiooKioiLgZ6e/W7duUV9fz8WLFykqKqKhoUFu8JEkCU9PT+Lj4xk1ahSBgYFotVq5zDEoKAitViuLtfi5N9feHJ/LaDSyZcsWPvvsM+x2O++99x7z58/Hw8ND2chUaHGUjc02gOjG/Prrrzl69Cg9e/bknXfeISkpqU0IOPwylUfM9oSfUyV6vR5/f3/at2+Pw+GQ0yt2ux2z2YzNZuPOnTtcvHiRvLw8Ll68yNWrV6mtrcXT05NRo0axePFiWTDd3d3lDdKWjoDvHXBstVoZN24cEyZMQK/XKxG4QqugiLiL43Q6uX37Nps3b+b48eNERUWxcOFC+vbt+0zdmK6CiJBF1+X9PLWjoqJISEigvLycq1evsmPHDrZt24bD4aChoQEvL6/HbsJpLkSJZ2ZmJitWrODmzZuMHTtWrgVXBFyhtVBE3IVxOBxUVVWxc+dODhw4gE6nY9GiRYwZMwZfX9/n/fZaDXd3d7l6JTo6GrVazdGjR6moqCAnJ4fCwkK8vb1bVcQtFgvnzp1j6dKlnDp1isTERHmsnWIrq9CaKCLuoghf8B9//JG1a9ciSRKzZ8/mrbfewo69rewAABOHSURBVMvL66XNtYohFpIk0alTJwYNGoTBYGh2x8SHIUkSRUVFbNy4kePHj9O+fXs+/PBDEhISlPFqCq2OIuIuiCRJ1NbWcuzYMb777jscDgczZszg7bfffqkFHH5pvQeIiIhg4sSJxMbGtlr0K1ZH69at49SpU3Tp0oX333+fvn37ukyJp8LLhSLiLoYwTjp8+DBr1qyhoqJC7sYMCQl5qQUcfhZxX19f9Ho9drsdlUrVapuIDoeDiooK0tLS2LRpE76+vsyYMYMRI0bg7+/vsmWeCi82L7ciuCBGo5FTp06xevVqcnNzGTJkCFOnTqVjx46KcRK/GHFptVq5zb41BNzpdMo319WrV2OxWBg1apQ8V1YRcIXnhSLiLoLwBb9y5Qrr1q0jOzubHj16sGjRInn4rsIvqFQqeTBEa2AymTh16hTffvstxcXFjB49msmTJ9O+ffuXfnWk8HxRQjsXweFwUFpayj//+U9OnDhBt27d+O1vf0tCQsJ9hxu/zGg0Gtzc3LDZbHJdeUvidDq5ePEiaWlp5Obm8pvf/IYFCxbQtWtXJQJXeO4oIu4C2Gw2ioqK+Prrrzly5Ajh4eFMnz6dV199FZ1Op9QcN6LxdB+r1driw5Ltdju5ubn84x//IDMzk1dffZWPPvqIjh07KqWECi6BIuLPGZvNRn5+PmvXriU9PZ2AgABmzZrFyJEj8fb2VgT8Pri5uaHVajGZTC0aiVssFm7evMk333xDZmYmHTp04N133yUuLu6hQygUFFoTJZn3HHE6nRQXF7NhwwbWr1+PTqdj8uTJTJgwgaioKEUkHkDjEW0tVSNut9spLS1l/fr17Ny5k3bt2rFgwQKGDh36WPM1FRRaCyUSf044nU7q6upIT09nw4YNOJ1OPv74Y6ZOnUpISIgiEg9ATBbS6XSYzWZqa2ubfeK9qNPfu3cvq1atwsvLi/fff59x48bd1xZAQeF5okTizwHhfLd582bS0tIwm82kpKQwffp0goKClGqHh6BSqfD09MTHx0f+Hp1OZ7O+hsFg4PDhw6SmpmKz2UhJSWHgwIFKM4+CS6JE4q2MJElUV1dz+PBhVq5cSU1NDSNGjGDGjBkEBAQoAv4IVCqVPGzZarVy8+ZNbDbbMw91gF+Gbpw+fZq1a9dSUlIi31yDg4OVY6PgkihnZSsiSRL19fVkZmbyww8/cOPGDXr37s306dPp2LGjIhKPiRixplKpmi0SF0M3srOzWbt2Lfn5+fTu3ZtZs2bRoUMHpcxTwWVRVKMVsVqt5Obmsn79ejIzM+nWrRvz58/nlVdeUUTiMRE58ZCQEPR6fbO13FutVu7cucOaNWs4fvw4MTExLFiwgO7duyulhAoujSLirYQkSRQWFpKamsq+ffuIjo7md7/7HcnJyfj4+Dzvt9emUKvVeHp6otFo5Ek/z4LT6aSoqIj169ezZcsWOnfuzPz58xk8eLBSSqjg8ig58VZAlKstX76cw4cP06FDBz755BMGDx6Mj4+PIhJPgZjcYzKZHphOeZyqFUmSKC0tZefOnaSlpREREcHChQsZPHiwsjpSaBMoIv4UOBwOeV7jo7BarXIEvn37dnx8fJg+fTrJycn4+fkpbdtPiY+PDxqNBoPBgN1uv69gP46A19XV8dNPP7Fp0yasVitTp06lf//++Pv7K3sUCm0C5Sx9Ch43cnY6nZSUlLBx40ZWrVqFJEn85je/YcKECQQEBCgC/gwIQ7CGhgasVusTp1QcDge1tbUcOXKE9evXU1xczLhx45g0aRIhISHKsVFoMygi/hQ8ThQuSRIGg4GjR4+yfPlyjEYjb775JtOnT1e6MZsJu91OWVkZDQ0NTyziJpOJo0eP8pe//IXs7Gz69u3L4sWL6dSpU5sZPq2gAIqItxhWq5XDhw+zYcMGjEYjs2bNYvbs2URHRysC3gwEBgbKgyEcDscTPdbhcFBcXMz//d//kZeXR2xsLHPmzFFcCRXaJEpOvJkRvuAnTpzgn//8J3fu3GHkyJEsWrSIdu3aKeVqzURwcDDe3t4YjcYnEl6Hw8G1a9dYsWIFV65coW/fvrzzzju8+uqryrFRaJMoIt7MmEwmcnJyWLFiBTdu3CAuLo558+Ypk3maGU9PT9mI6nFFXJIkbt26RXp6Olu3biUoKIiZM2cyfPhwAgICWvgdKyi0DEo6pRmxWCwUFBTwzTffcPDgQSIjI5k1axaJiYnKMr0FUKlUSJKEyWR6ZE7c6XRiNBrZsWMHW7ZsAWDGjBmMHTtW8atRaNMoZ24z4XQ6KSgoIC0tjR07dhAYGMjChQsZN24cnp6eSh68mfH09MTb21uuwX9Y671oqc/MzGT79u1YrVZSUlL49NNPCQ8PV26wCm0aZX3fDEiSREFBAenp6WzevJn27dvz8ccfM2rUKMW6tIVwc3PDw8ND9qN5mIjX19dz6tQp/va3v1FSUsKkSZP4/9q7/5+q6j8O4M9zzv2CgCBcIeR2qSGj2AJWYVqsARWEhUYSFd8ugrra2nL2g+t/aGtzczmmaQoK07qhW1ELBzlcyZeyr4aCFcwAsYSL9/s99/354fO5dx9XGqBc4J7nY3Nzzt17xj33yfu8v7xejY2NiI6O5giclj3ewXcoEAhgamoKJ0+eREdHB+Li4vDmm2+ipKSEXdAXULDPZrDy4K2mU7xeL4aGhnDw4EFcuHABhYWF2LJlC5KTkxngFBE4Er8DwQMjXV1dOHXqFHw+H1599VWUlZUhLi6OAb6AdDpdqL73rTreq6qKkZERdHR0oK+vD+np6aioqEBWVhYXmSlicCgyT8HH+HPnzmHfvn24cuUKCgoKUF5ejlWrVjHAF5herw+tNbjd7r+NxIUQmJqawieffIL29vbQGkVOTg6bO1BEYYjPk8vlQm9vL/bs2YNLly5h06ZNqK2thcVi4SJmGBiNRsTHx0MIgbGxsZsO/AT36nd2duLEiRNwuVzYsWMHNm7ciISEBH4+FFH4TDkPHo8HfX19aG5uxuDgIEpLS1FXV4eMjAyOwMMkWFdcVVVcv379poVNt9uNgYEBfPDBB5iZmUFxcTFKSkoQGxvLeXCKOLyj5ygQCODChQs4cuQIzp8/j9zcXNTW1iI9PZ2P6WEU3B+uqiocDgdUVQ3928WLF9HU1ITffvsNRUVFaGhogNls5i9YikgM8Tnw+XwYGxvDRx99hG+//RZpaWnYtm0b8vLyuJUwzCRJgtFoRCAQCBXA8ng8GB4eRltbG06fPo377rsPmzZtCi1kchqFIhFDfJaCDY7b2tpgs9lgsVjw+uuvo6SkBFFRUQyIMNPpdDAajZBlGUKIUHeeY8eOobW1FYmJibBarXjkkUdYE4UiGufEZ8nv9+P333/H0aNHkZKSgq1bt6KwsDBUv4PCK1gzJVizPdidx2azITo6Gjt37kRxcTHi4uIW+1KJFhRDfJYURYHFYkFlZSXMZjPWr1+PmJgYBvgiURQltAYxOjqKQ4cOobu7G1FRUXjhhRdQVlbGrZ6kCQzxWZJlGSaTCVarFTExMYiJieFOh0X0/82Sg+3v4uPjUVZWhpqaGtxzzz38fEgTGOJzoNfrYTabF/sy6H90Oh0URYHH44Esy3juuedgtVqRkZHBACfN4J1Oy5IQAoqiwGAwQJZl5OXlwWq1IisriwFOmsK7nZadYHOHs2fPYmJiArIsY8eOHcjJyWFNFNIc3vG0rKiqiomJCbS1taGzsxM3btyATqfD2rVrWbedNIkjcVo2glUjP/vsM5w4cQJXrlwJjbx9Pt+cO94TRQKGOC0LQgg4HA6cO3cOTU1NmJycRGZmZmiheWRk5JYlaYkiGUOclgWfz4fz58/j3XffxeXLl1FYWIitW7di7dq1EEKEaqcQaQ1DnJY8t9uN77//HjabDYODg8jOzkZDQwPy8vJCXepdLtdtW7QRRSoubNKSFggEcOnSJTQ3N6O7uxupqamoq6tDbm4uHA4HVq5cCUmS4HA4GOKkSRyJ05IVXMj89NNPcfr0aQghUFlZifLyciQkJIT2iUuSBK/XyxAnTWKI05IUXMjs6elBS0sLXC4XSktLUVVVhfj4eCiKAkVRQhUkPR4P58RJkzidQkvS1NQUzpw5g3feeQc3btxAaWkpampqbupSr9frYTKZoNfr8ccff8Dr9S7yVROFH0fitOQ4nU4MDAzgvffew+DgINavX4/q6mpkZGTcdCJTr9cjNTUViqJAVVVOp5AmMcRpSQluJTx27Bh+/vlnZGZmor6+Hjk5OX/rnhSsJy6EgNPpvKlZMpFWMMRpyVBVFePj43j//ffR1dWFNWvW4LXXXsMTTzxxy+YORqMRAGC323nYhzSJc+K0JAQCAUxPT6O5uRlffvklkpOT8fbbb6OkpAQrVqz4x5ooBoMBSUlJ0Ov1cLvdnBOPMIFAAH6/H3q9njVxboMjcVp0Qgj8+eefaG9vR2trK7xeL4qKivDkk08iOjr6tqVlJUmCEAJ2ux0ulyuMV03h4Pf7F/sSljyGOC2qYICfOXMGhw8fxszMDPLz87F582YkJibedgQmyzJ0Oh1kWYbX6+UXPsJIksQm5LPAEKdF5XQ68fXXX+PQoUP45Zdf8Nhjj2Hnzp3Izc391+YOsiwjNjYWsbGx8Pv9XNiMMJIkscHHLPAnRIsmEAhgaGgILS0t6O3txYMPPog33ngD2dnZf9uJ8k9kWcbKlSuRlJQEu90Oh8MRhqsmWlq4sEmLwu/349q1azhy5Aj6+/thNpvR0NCAhx9+ONTFfjZUVYXT6YTP54PX64UQgo/fpCkMcQo7v9+P8fFxtLa24osvvkBycjIqKytRXFyMmJiYOT1Cy7IMg8EAIUToD0OctITTKRRWQgj89ddf6OrqwtGjR+F2u1FcXIwXX3wRa9asgaIoc3o9nU6HuLg4+P1+eDwentokzWGI06wJIe44JB0OBwYGBtDc3IzJyUnk5+dj48aNuPfee+e1iKXT6ZCYmAiPx4Pr169zcZM0h9MpNGuqqsLr9SIqKmpegRsIBNDb24v9+/fju+++Q1FREd566y1kZmbOu0u9TqeDyWSCLMvw+XwciZPmMMRp1hRFgdFonFeAq6qKoaEhHDhwAP39/bBYLKitrcX9998Pg8Ew72uSJCl0oo8hTlrEEKdZm+++XbfbjeHhYbS0tOCbb75Bamoqtm3bhg0bNiA6OvqOFiL1ej2Sk5OhKAo8Hg8P/JDmMMRpTuYauKqqYnJyEgcOHEB7eztWrVqFqqoqbNmy5V9PZM6GoigwmUzQ6XSYnp5m/RTSnIgP8eC2M578Cp/g4qIsy5ienkZPTw8+/vhj+P1+1NbWorq6GiaT6a6/39TUFEOcNCeiky0QCMBut2NiYoJzpWEkyzJkWYbT6URHRwf27NkDl8uFl19+GeXl5UhMTAz937vRUi34C9rpdHI6hTQnokfikiTBYDDA7/fzAEiYud1u9PX14cMPP8S1a9dQUVGB7du3w2w237QX/E4/F0mSbqop7na77+j1iJabiA/xqKioUEd0WnhCCHg8HgwMDGD//v24ePEiHnroITQ2NiI9PR1RUVF39f1kWQ6d8uR0CmlRRE+nAP8N8rmeAqT5CQb46Ogo2tra8NVXXyE5ORn19fXIzc0NjZjvJkVRkJCQAFmWEQgEOG1GmhPRI3EKL1VV8euvv6KlpQWnTp2C2WxGbW0tnn76aej1+gV5T71ej7S0tAV7faKlLuJH4hQ+wRF4W1sbjEYjGhsb8fzzz8+qrOx8ybKM6OhoKIoSqp9CpCUMcbornE4nBgYG0N3dDQCoqKhAYWEhTCbTgk5nSZKEFStWwGQyQZIktmgjzeF0Ct0RIQR8Ph/6+/tx8uRJTE5OoqCgAFarFRaLZcGnOSRJQkxMDJ555hnMzMwgPj5+Qd+PaKmRxN3YqEua5fV6MTo6il27duHHH39ETk4Odu/ejXXr1oVtnloIgatXr0JVVSQkJMypqQTRcseROM1bIBDA1atXsW/fPvT39yMzMxNWqxV5eXnzrko4H5IkISkpKfR3Ii1hiNO8CCEwOjqKgwcP4vjx40hLS8P27dtRUFAQqioYTiyrQFrFO5/mTAiB8fFx2Gw22Gw2GAwG1NXV4amnnrorRa2IaPYY4jQnwXo0XV1dOH78OOx2O8rLy/HSSy8hJSWFAU4UZgxxmrXgicyzZ8+iqakJo6OjePzxx7Fr165Qdx0iCi9+6zRqPsfTXS4XfvjhB+zduxfDw8NYt24ddu/ejZSUFJY2IFokXNjUqLlOe3g8Hly+fBmHDx/GTz/9hKysLNTX1+OBBx5ggBMtIo7ENWouIa6qKkZGRtDe3o7u7m6kpaXBarUiPz9/QY/UE9G/Y4jTbQkhYLfb0dnZifb2duh0OjQ2NuLZZ5/F6tWrF/vyiDSPIU63JISA3+9HT08PbDYbHA4HXnnlFWzevBmrV6/mThSiJYBz4nRLHo8H/f392Lt3LyYmJlBaWoqqqirEx8dzJwrREsFvIv0jIQRmZmbw+eefY2xsDBs2bEBNTQ0sFgsXMomWEI7E6ZaCPUofffRRVFdXIzs7O6w1UYjo37GKId2SqqqYmpqCz+dDQkLCgrRXI6I7wxCn2woeCpIkiQuZREsQQ5yIaBnjwiYR0TLGECciWsYY4kREy9h/AAwHfQaaQmHjAAAAAElFTkSuQmCC)
physics-General
physics-
Two 1ong wires are placed parallel to each other 10cm apart as shown in fig The magnetic field at piont P is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448380/1/928702/Picture4.png)
Two 1ong wires are placed parallel to each other 10cm apart as shown in fig The magnetic field at piont P is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448380/1/928702/Picture4.png)
physics-General
physics-
A proton accelerated by a pd V=500 KV moves through a transverse magnetic field B=0.51 T as shown in figure Then the angle q through which the proton deviates from the initial direction of its motion is (approximately)
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)
A proton accelerated by a pd V=500 KV moves through a transverse magnetic field B=0.51 T as shown in figure Then the angle q through which the proton deviates from the initial direction of its motion is (approximately)
![](data:image/png;base64,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)
physics-General
physics-
A particle of mass m and charge q, moving with velocity V enters Region II normal to the boundary as shown in fig Region II has a uniform magnetic field B perpendicular to the plane of the paper The length of the Region II is Then
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448370/1/928696/Picture2.png)
A particle of mass m and charge q, moving with velocity V enters Region II normal to the boundary as shown in fig Region II has a uniform magnetic field B perpendicular to the plane of the paper The length of the Region II is Then
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448370/1/928696/Picture2.png)
physics-General
physics-
A small sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The force acting on the sphere are shown in figure. Which of the following statements is wrong?
![](data:image/png;base64,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)
A small sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The force acting on the sphere are shown in figure. Which of the following statements is wrong?
![](data:image/png;base64,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)
physics-General
Maths-
Maths-General
maths-
Let f : (0, ¥) → R and F(x) = t f (t) dt. If F (x2) = x4 + x5, then f(r2), is equal to
Let f : (0, ¥) → R and F(x) = t f (t) dt. If F (x2) = x4 + x5, then f(r2), is equal to
maths-General
Maths-
Maths-General
chemistry-
The enzyme pepsin hydrolyses:
The enzyme pepsin hydrolyses:
chemistry-General
physics-
The magnetic induction at the point O, if the wire carrying current I is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448345/1/928645/Picture1.png)
The magnetic induction at the point O, if the wire carrying current I is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448345/1/928645/Picture1.png)
physics-General
Maths-
Let f : R →R and g : R →R be continuous functions, then the value of
(f(x) + f(-x)) (g(x) – g(-x)) dx, is equal to
Let f : R →R and g : R →R be continuous functions, then the value of
(f(x) + f(-x)) (g(x) – g(-x)) dx, is equal to
Maths-General