Maths-
General
Easy
Question
In the figure, ABC is an isosceles triangle with AB = AC. If D is the midpoint of BC, prove that:
(i) ΔABD⩭ ΔACD
(ii)
90°
![](data:image/png;base64,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)
Hint:
Find the congruence rule and from that find the angles.
The correct answer is: 90°
(i) In ΔABD and ΔACD, we have
AB = AC (isosceles triangle)
AD = AD (common side)
BD = DC (Since D is the midpoint of BC)
Hence ΔABD⩭ ΔACD by SSS congruence rule.
(ii) Since ΔABD⩭ ΔACD by SSS congruence rule
We have, ![straight angle ADC equals straight angle ADB](data:image/png;base64,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)
(linear pair)
![therefore straight angle ADC equals straight angle ADB equals 180 over 2 equals 90 to the power of ring operator](data:image/png;base64,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)
Related Questions to study
Maths-
State the property of congruence and write symbolically the congruency in the correct order.
(i) 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)
(ii) 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)
State the property of congruence and write symbolically the congruency in the correct order.
(i) 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)
(ii) 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)
Maths-General
Maths-
In the figure, ray AZ bisects
as well as
.
(i) State the three pairs of equal parts in triangles BAC and DAC.
(ii) Is ΔBAC ⩭ ΔDAC ? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.
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)
In the figure, ray AZ bisects
as well as
.
(i) State the three pairs of equal parts in triangles BAC and DAC.
(ii) Is ΔBAC ⩭ ΔDAC ? Give reasons.
(iii) Is AB = AD? Justify your answer.
(iv) Is CD = CB? Give reasons.
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)
Maths-General
Maths-
If line segments AB and CD bisect each other at O, then using SAS congruence rule prove that ΔAOC ⩭ ΔBOD.
![](data:image/png;base64,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)
If line segments AB and CD bisect each other at O, then using SAS congruence rule prove that ΔAOC ⩭ ΔBOD.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXkAAACfCAYAAAAcaakWAAAgAElEQVR4nO3dd1gUZ/c//rM06QgooiIKFixYAjYkdgmIBQXFBI0lDyZqFA0ae/1agvqIJlHBXh6xxYoBC8QCKqiIqKigIggoKkV6333//uDD/JyACWWXWZb7dV1cV+IOM2fY2bMzdzm3CACIYRiGUUhKQgfAMAzDyA5L8gzDMAqMJXmGYRgFxpI8wzCMAmNJnmEYRoGxJM8wDKPAWJJnGIZRYCzJMwzDKDCW5BmGYRQYS/IMwzAKjCV5hmEYBcaSPMMwjAJjSZ5hGEaBsSTPMAyjwFSquiHEJZSXm0MFRaUkUmlEOro61EiFfUcwTEMlkUi4/xYpKZFIwFiYz6tCks+hyD9P0JFTFyj80Sv6kJVPyhqNqZWFFW3btp4sWxnJPkqGYeRHZjTt3OJDIbEfSAwiIhGpauhQy/bdadhoFxrWvSUpCx0jw/nHW/HClEjymjKchjj/SGceF1HvMdNo6cqVNGeSHTVKCKIbCUl1FSfDMHIiJeQYrd+6k4Ii35FKIzVSVQZlxN2hfWvnktNXLuQT9kHoEJlP4TPE6U+wekxHEGlg1IpjeJ3Df12SnYScohxIPrcDhmEUUDEurHSCukgVU3fHfvLvGTi6yA4qRBi4OlSw6JiKPtNcU0iXdy4kr3Mx1Gf2ATqw5msy/FuDm0jHhLRl/x3EMIw8KY2nyMfPqUjFnHrbtP3kBQmJqJRKqRFZWBgLFh5TUaXNNUVvrtL2XwOo0MyJls1xrpDgGYZpmCQJ8fT4+StSbtWXerZVIpKISSIuoIdnfGjrwTBqM3wheTiaCx0m84lK7+QTLh+ji2lENuNHkHV73bqOiWEYOZUQ/5RevC6iUrpBPw0fQqokobz01/QwOolaDJtHfrsWUxddNupOnlSS5MUUGf6AQAZkaWlBzWpwF19SUkIikYhUVKo8QpNhGLlXSPHP7lFcrjLZTBlPIzsZEkpLqTA7hQzVAyjs3gn6xacnHVzzDRmqCh0rU66SLJxD7z/kEClpUGM93RoNhfL29qbw8HBycnKiwYMHU+vWrWsdKMMwAivKoth7dylX1IPcFy+k7zo24V4qSBpP7naD6Ohv+yl0xigaY8p67ORFJUlem5o11SGSvKakt2+pgHqQRjV2GBMTQ4cPH6anT5/ShQsXqGXLlmRjY0Pjx48nW1tbatq0KSkrs1G0DFPfFGUl0727cUQ9ZlGvJo15r0kgoVIxEek1psZq7AlenlTSeKZCXzqNICPKpYDDe8k/6iPv1ZK0p3TmxAmKiM+tdIcACAAREYnFYkpMTKQTJ07QuHHjqE+fPvTjjz/S+fPnKTMzU+onwzCM7GS9uU13nhN9YduXmuuXJ/Jievf0Km2YP4dOvtSh0TMmU29jdUHjZPhEKM/InypNI79lU2jebxcpU9OMBg/+ktoaqVNOShw9ePCMxG2H06+7fMi+XeUNb4cOHaIZM2ZQYWEhiUQi0tfXp7y8PCoqKiIiIjU1NWrTpg199dVX5OLiQt26dSMDAwOZnijDMLXz0Hc89Zh5itQNmlHLJvqkIpKQRFxKBXk5VKTanJxmrqLVc5yppZbQkTKfqjzJExEV59CjG+foTMB1ehSXQoVQI8OWbalHb1uy+8qOurXS+ccdL1y4kDZv3kxERBYWFuTh4UEPHz4kf39/evfuHW9bKysrGjZsGI0cOZL69evHmnMYRg6lRPjTHzfjSCyRUKm4rG6NspoWGbYwI+s+/cjSVE/gCJnKfD7Jc0Di0lISQ4lUVZRJVMXRNgUFBTRhwgS6cOECERFNmTKFdu/eTVlZWRQUFERnzpyhu3fvUnJyMte8o6GhQRYWFjRu3Diys7MjS0tL0tTUrM35MQzDNGhVSPI19+LFC3JxcaHHjx+TSCSitWvX0rJly4iorIJdXFwchYaG0tmzZ+nGjRuUk5PD/a6uri5ZWVmRvb09jRkzhjp06EBKSmz8LcMwTHXINMkTEQUFBZGbmxulpaWRjo4OHThwgFxcXHjbAKBXr17RhQsXKDAwkO7fv08ZGRnc61paWtS3b19ycXGhAQMGkIWFBRuDzzAMUwUyT/JERL///jvNnTuXAJCpqSkFBgZSly5dKt22pKSEHj9+TNeuXaNTp07Rw4cPqaCggHvd2NiYevbsSWPGjCEHBwcyNjZmbfgMUwckEgmlp6eTpqYmaWmx3tX6ok6SPBHRrFmzyMfHh4iIbG1tyd/f/19H1EgkErp//z75+/tTcHAw3bt3j8RiMfe6oaEh2dvbk6OjIw0cOJBMTExkeg4M01BlZmaSr68v+fj4UN++fWnXrl3UuHHjf/9FRnB1luTT09PJ1dWVrl69SkRE06dPpx07dpCqatXmP2dmZtKTJ0/o/PnzFBAQQHFxcdyQTCIiMzMzsrW1JVdXV+rbty81adKERFXtJWYYplISiYQCAwNp/fr1FB4ezv37Dz/8QL6+vgJGxlRVnSV5IqKHDx+Si4sLxcXFkbKyMm3ZsoXmzp1b7f3k5+dTSEgIBQYG0uXLl+n58+e819u2bUvDhw8ne3t7Gjx4MHu0ZJgaiImJoV9++YVOnDhBRUVFJBKJSCQSkUQiIWVlZfLx8aHp06cLHSbzL+o0yRMRnT17liZNmkT5+fmkr69PJ0+epGHDhtVoXxKJhNLS0igiIoJOnjxJoaGhlJiYSKWlpURUNiSzdevWNGLECHJycqKuXbuyR0yG+RdZWVm0Z88e+vXXXyk5OZmIiJo0aUIeHh5kbGxMnp6elJubS82aNaNjx47R4MGDBY6Y+Ud1tjzJJ9atWwciAhGhffv2ePXqlVT2++7dOxw9ehSTJk1C06ZNuWMQEVRVVdGzZ08sXboU4eHhKCkpkcoxGUaRBAYGom/fvtznRllZGU5OToiIiOC2WbJkCfe6tbU1EhMTBYyY+TeCJPnCwkJMmjSJu1CGDx+OzMxMqe1fLBYjKSkJBw8exKhRo9C8eXNewtfU1ESvXr3g5eWFyMhI5OXlSe3YDFMfxcTEYOrUqVBXV+c+J126dMGxY8dQWFjI2zY/Px9jxozhtnNxcUFBQYFAkTP/RpAkDwCJiYno3bs3d6H8/PPPEIvFUj+ORCLB06dP4ePjAwcHB2hoaPASvra2Nuzs7LB582a8ePFCJjEwjLzKy8vD5s2b0apVK+4zoaenhyVLluD9+/ef/b3ExER06dKF+51Vq1bVYdRMdQiW5AHg1q1bMDY2BhFBTU0NBw4ckOnxSktLERsbCy8vLwwZMgS6urq8hK+rq4vhw4djz549iI2N/fcdMkw9VVJSgosXL1Zomhk9ejTu379fpX1cv34dzZo1AxFBS0sLfn5+Mo6aqQlBkzwAHDp0CEpKSiAiNGnSBOHh4XVy3Ly8PNy9excbNmyAtbU17zGViNCyZUuMHTsWhw4dwrt379gdPqMwXr16hWnTpkFHR4e73jt16oTDhw9Xu69q586daNSoEYgIZmZmVf6CYOqO4EkeABYvXsxdbD169EBSUlKdHr+kpARhYWFYtGgRevXqBVVVVV7Cb9q0KaZOnYrjx48jJSWlTmNjGGnJzMzE1q1beX1UjRs3xuLFi/Hu3bsa73f27Nnc/vr164fU1FQpRs3Ullwk+Y8fP8LJyYm7UL7++mvk5uYKEkt6ejquX7+OuXPnokOHDlBTU+ON0GnXrh2+++47XLx4EampqZBIJHUS1/Xr1/Ho0SMUFRXVyfEYxVFaWorg4GDY2tpCWVmZa5oZOXKkVJ6cs7OzMXToUO5zMm3aNPbkK0fkIskDZb37nTt35i6UtWvXCh0SsrOz4e/vj5kzZ8Lc3Jx3d09E6NChA3766SdcvnwZOTk5MosjMjISZmZmUFZWxsyZM5GRkSGzYzGK5eXLl/j++++hoqLCXbcdO3bE//73vwqjZmrj2bNn6NChA4gISkpK2Lx5s9T2zdSO3CR5AAgKCoKenh6ICOrq6jh9+rTQIXFSUlJw7tw5uLm5wdTUlPehUVdXR9euXbFw4UKEhYUhKytLasctLS3lPQ5PmzZNavtmFFdmZiZ+++23CqNmFi5ciOTkZJkc8/z589DX1wcRwcDAABcuXJDJcZjqkaskDwDbt2/ndX4+evRI6JAqKB+D//XXX3MXdfmPmpoa+vXrh1WrViEiIqLWj63h4eHcsM9mzZohISGhwjb79u2Dn58fsrOza3UsRjEEBwdj0KBBvOvS0dGxTgY1/PLLL9xACgsLCzZKTQ7IXZIvLi7GrFmzuIuzf//+ctvZWVJSgsTERPj6+sLR0ZEbTvbpGPx+/frB29sbDx8+rPaEEYlEghEjRnD727RpU4Vtbt26hRYtWoCIYGdnh7dv30rr9Jh65vnz5/j++++hqanJa5o5dOhQnU1WEovFmDx5Mnd8Ozs7dvMhMLlL8kBZeYLBgwdzF8qMGTOk2n4oC2KxGNHR0fj9998xdOjQCpOu9PX1MXz4cPz666+Ij4+vUoftqVOnuI7fHj16VBi1UFRUhKlTp3LH8PT0lNXpMXIsLy8P27dvR5s2bXizun/++ec6H6kGAB8+fOCNv587d26dx8D8/+QyyQPAw4cPeRfttm3bhA6pykpLS/HkyROsW7cO/fv3h5aWVoVJV05OTjh48CBevHhRacJPT09Hnz59QEQQiUQ4fPhwhW2CgoK4vgFzc3O5feJhPu/169e1qv0SFBSEAQMG8EaADR8+vM7mm3zOvXv30Lp1axARGjVqBF9fX0HjacjkNskDwLlz57g7WW1tbVy5ckXokKotNzcXYWFhWLNmDbp3715hDH6rVq0wfvx4HD9+nDeN/LfffuO2cXBwqPDIW1JSgoEDB3Lb7Nixo65PjamlP/74Ax07dkSvXr2qXaQvPj4eM2fO5N1AmJub48CBAzId6VUd//vf/7imI2NjY4SEhAgdUoMk10keKOvIKb+I27dvj5iYGKFDqrHCwkLcuHEDnp6e6N69OzdmufynRYsW+OGHH+Dj48PVBdHT08PFixcr7Gvv3r0QiUTcBBRpjuhhZK+oqIjX32Jra1ulUS8FBQXYvn07d5dcPqFp3rx5tZrQJCvLly/n4uzatasgzUcNndwn+dzcXF7FylGjRiE9PV3osGotNTUVQUFBmD17NszMzHiTrj796devHzIyMnhNOikpKejWrRv3eH7mzBkBz4SpqaSkJN7T2PDhwz/b5FZaWopr167x+qqUlJRgZ2eHmzdvorS0tI6jr5qCggKMHTuWi9nZ2ZlVrKxjcp/kgbKKd7169eIulAULFijUjLqsrCycOnUK33//PUxMTHhJXiQScWPwr169CgBYu3Yt9/q4cePYh6Yee/nyJe/aHjt2bIWy24mJiZg1axa0tbW57dq1a4fdu3fLbXL/1OvXr/HFF19wsS9fvlzokBqUepHkAeDOnTvcQiBKSkrYv3+/0CFJnUQiwciRI3kjcsrHHBMRdHR0YGlpyVXuNDIyYu2cCuDJkyewtLTk3ueJEyeisLAQOTk58PHxgZmZGa9pxsPDo94t1PHXX39xQ4y1tbVx7NgxoUNqMOpNkgeAI0eOcB2XhoaGuHXrltAhSVVgYCAaN24MorIFG65cuYLDhw/DxcWlQllkorKqnRs2bMDDhw/rrIYOIxsPHjxA27ZtuZsYFxcX2Nvb877khw0bhhs3bggdao35+vpy/VAmJiaIiooSOqQGoV4lebFYzKtYaW1tLbWlA4WWlZUFR0dH7ty8vb2514qLi5GQkABPT89K2+11dHQwcOBA7NixA9HR0Wxpw3oqPDycN2y4/KdDhw7YvXu3QjTLeXh4cOfVp08fVrGyDtSrJA+U1eQYNWoUd6G4ubkJVrFSmvz8/LjRMj179qy0CJmLiwt33hMmTMDgwYMrdNg2adIEI0eOxM6dO/H69WsBzoSpieLiYuzZswempqa897Nr16548eKF0OFJTWZmJr766ivu/KZOncoqq8pYvUvyQNmiBx07duQulDVr1ggdUq2kp6dzHVMqKio4efJkhW2OHz/OzaLt2bMnkpOTIZFIEBUVhVWrVsHGxqbCpCsDAwO4uLjAz8+vyrNsmbolFosRGhqKIUOGcF/yIpGIW4hDTU0Nv/76q9BhSlV0dDQsLCxAVFbyuLJyHYz01MskDwBXr17l2qkbNWokVxUrq2vLli28YXR/HzmUmprKFZxSUlLC7t27K+wjJycHISEhWL58OTp37sy7w1dSUoKZmRnc3Nxw6tQppKenK9TopPoqOTkZHh4evBWazMzMsGfPHuzfv593ffv4+AgdrlSdP3+eGy2kp6eHgIAAoUNSWPU2yQPAjh07eB05ERERQodUbW/evOFGDWloaOD27dsVttm5cyeXBIYMGfKvMxqLiooQFBQEDw8PWFpacneIn86ynTlzJs6fP4+0tDRZnRrzGTk5Odi3bx+v/V1DQwOzZ8/mNbHt2bOHezrT0dHBwYMHBYxa+jZv3sz7cnv+/LnQISmkep3ki4qKMHPmTO5CGTx4cL2r35KdnY3jx49j0KBBWLBgAYqLi3mvv3nzBp06dQJRWd366tbofv/+PS5dugR3d3e0adOGN8tWTU0NXbp0wezZs3Hjxo0K47MZ6bt58yYcHBy4mkPKysoYNGgQrl27Vun23t7e3Humr6+vUBPfSkpKMGXKFO56tLOzYwviyEC9TvIAkJaWxqud7e7uXi9Hl5SUlFQa97Jly3gTn2ojLS0NJ06cwOTJk9GyZcsKozh69OiBZcuW4caNGxW+bJjaSUxMhKenJ68MsKmpKXbu3PmvAwc+nfymr69faZmL+urNmzewtbXlzm/u3Ln1YoJXfVLvkzwAPH36lDcqoT5VrPwn79+/R/v27UFUVrlSWuOKy+vgHz16FE5OTmjevDlvPLa2tjasra2xdu1aREZGIi8vTyrHbYjy8/Oxb98+bmm88qaXGTNmID4+vkr7KCkpweLFi7lmNxMTk8/e+ddH4eHh3ApWqqqq2LVrl9AhKRSFSPJAWcXK8o4cXV1dhbjbKSkpQXh4OObPn4/ffvtNZk8oL1++hK+vL0aNGsXrBCQiaGlpYciQIdi0aROePn3KRuhUw+3bt+Hg4MD7ew4YMABXr16t9t8xPz+ft5hO+/bt8fTpUxlFXveOHTvGNUsZGBjg5s2bQoekMBQmyQPAhg0buLudTp06KcyHQCwW18lomOLiYjx//hxbt27FoEGDYGBgwCUVkUiExo0bY9iwYdi1axdiYmLY+ObPSExMxPz583mzlFu3bo3t27fXak5HXl4eJk+eDENDQ6xdu1bhVlz6tGKlpaUlm+chJQqV5PPz8+Hm5sZdKCNGjFC4D0JdEYvFuHv3Lry8vGBjY1OhDr6RkRGcnZ2xZ88euSxxK4SioiIcPHiQ6ygvH/74ww8/SG1mdk5OjsKWA8jJyYGzszP3t3NxcWGfXylQqCQPlC0daG1tzV0obEm82issLERERASWLFmCPn36VDrL1s3NDSdOnKh3hbOk5datW3B0dOSeJJWUlNC/f/8aNc00ZC9fvkSPHj24a2vFihXs71dLCpfkAeDu3btcpUYVFRUcOHBA6JAUxsePH3H9+nUsXLgQFhYWFRY+adeuHaZMmQJ/f398/PhR6HBl7v3791iwYAEMDQ25v4GJiQl+++03hSi3IYRr165xhfoaNWqE48ePCx1SvaaQSR4oW3qsvAxA8+bNWUleGcjLy8OlS5cwc+ZMdOzYkTdCh4jQpk0bzJ07FwEBAQq3clV508yno2a0tbXh7u6OhIQEocOr93bv3s39XZs1a4bIyEihQ6q3FDbJSyQSLFq0iLtQevfu3WCbEmRNIpHg7du3uHDhAqZMmYKWLVtyk33KZ3N27doVnp6euHXrVr1uZxWLxbh37x4cHR15zVZffvklLl++zMZ4S0lJSQmvYqWNjQ3evHkjdFj1ksImeaDsTvPTdTRdXV3Zh7AOfPjwAf/73/8wceJErtms/EdZWRnW1tZYtWoVwsLC6tUInffv32PhwoW8YaampqbYunUrm0sgA2lpabC3t+f+1t99951ClFuuawqd5AEgISEBnTt35i6U1atXCx1Sg1FaWor4+HgcPHgQjo6O3MpA5T+6urqwsbGBl5cXHj9+LLeJMi8vD35+flzlxPKnE3d3d8TGxgodnkJ7/Pgxt5gKEeG///2v0CHVOwqf5IGypceaNGnCtZtWVsqXkb1nz57h999/x/Dhw6Gurs5L+BoaGnBwcIC3t7dcJc6IiAg4OTnxOphtbGxw6dIloUNrMAICArjrRUNDQyEmOtalBpHkAWD79u1cG6q5uXm9rFipKAoKChATEwMvLy8MGDCAG0lR/mNgYAAHBwfs378fL168EKQs8ps3b7BkyRJebKampvD29la4TuT64NOKlebm5oiOjhY6pHqjwST50tJSzJgxg7tQBg4c2CCG+Mm7goIChIeHY926dbC2tq4wJLNFixZwdXXFwYMH8eHDB5nHU1JSgqNHj/IW1lZVVcW0adMQExMj8+MzlcvPz8e0adO498TBwYEtHVhFDSbJA2XrqH5asfI///kPWzxDjhQUFCAsLAwLFiyAlZUVr0lHSUkJRkZGmDp1Ks6cOYPk5GSpH//+/fsYPXo090UjEolga2vLmgfkRHJyMvr168ddEx4eHvWy4mxda1BJHihbeqy8I0dZWRlbt24VOiSmEhkZGbhy5Qp++uknmJub8+7wVVRUYGFhAXd3d1y6dAmZmZm1mhX5/v17LF++nFerp1mzZtiyZQtbVEXOREREcB34n1sljeFrcEkeAM6ePQs9PT0QEQwNDdnSY3IuOzsb58+fx/Tp09GuXTtec055RcYFCxbgypUr1Vr4pLi4GMeOHeONvmrUqBGmTZvGVimSYydOnODWwNXT08P169eFDkmuNcgkDwDr16/nZmh26dIFL168EDokpgqSkpJw5swZuLm5oXnz5rw7fHV1dVhZWWHRokW4d+/eP5YVuH//PpydnblrQCQSoWfPnrh48WK9GrvfEEkkEqxYsYJ733v06ME+v/+gwSZ5sVjMq1hpb28vt+O0mcq9ffsW+/fvh6urK692THlTXL9+/bBu3TrcvXuXa85JTU2ttGlm48aN/7p2LiM/srOz4eLiwipWVkGDTfJAWcXKPn36cBfKTz/9JHRITA0UFRUhLi4Ou3fvhr29PbcwevlP48aNMXDgQHh4ePAqHGppaWHSpElyNS6fqbr4+HjeKKgVK1YIHZJcatBJHuAvPaauro69e/cKHRJTCxKJBE+ePIG3tzfs7e0rrHT1aeLftm0bG11Vz4WGhnJzGZSVlVnFykoor169ejU1YCYmJmRoaEiXL1+mwsJCioiIoD59+pCpqanQoTE1IBKJqGnTpmRjY0MDBw6k5ORkio6OrrCdWCymqKgoCg0NJYlEQtra2qSrq0tKSkoCRM3UlKmpKRkaGtLFixdJLBZTWFgY2drakomJidChyY0Gn+SJiLp37045OTl069YtysnJoaioKBo9ejTp6OgIHRpTAwDo9OnTNHv2bLpy5QoREamqqtLEiRNp7NixlJmZSe/evaPs7GyKjY2lM2fO0JkzZygyMpJKSkrI2NiYNDU1BT4Lpqq6d+9OHz9+pDt37lBOTg49e/aMHBwc2Oe3nNCPEvKisLAQTk5O3OP8+PHjWcW7eigqKgrjx4/nlTru2bMn/P39uQqkubm5CA0Nxdy5c9GtW7cKSxuamJjA3d0dFy5cYEsb1hMZGRmws7Pj3sMpU6awUVL/hyX5T7x8+RLdunXjhtSxipX1x8ePH7F69WpeaWMjIyOsX78e6enpn/29Dx8+IDAwELNnz4apqSlv4RMlJSV06dIFM2fORHBwMFvpSc7FxsbCzMyMVaz8G5bk/yY4OJgbnaGtrY0TJ04IHRLzD4qKinD69Gl0796d+3CrqanBzc0NT548qda+srKycOrUKUyZMgXm5ua8u3uRSIROnTphyZIluHr1KhtuK6cCAwO5znZNTU34+/sLHZLgWJKvxPbt27lJNq1bt8ajR4+EDompxJMnT+Dq6gpNTU0uGfft2xfz5s1DRkZGjfdbWlqK169f4+TJkxg3bhyaNWvGLdBd/uXfq1cvrFixApGRkSzhy5nNmzdzT2QWFhZ4/Pix0CEJiiX5z5g1axavfnhtkgYjXWlpaVi3bh309fW596hJkyZYt27dPzbN1FRSUhJ27dqFsWPH8iZR0f9VqOzfvz82btyIyMhItvKYHCgsLMTUqVN5Ex0b8ueXJfnPSE9Px7Bhw7gLxd3dHcXFxUKH1aAVFxfj3LlzsLKy4u7U1NTUMGHCBDx8+PBff19cXICPH1KQnJSE5DcpyMgpRHXKmpWUlCAmJgY7duzAoEGDKiR8AwMDDBo0CDt27EBMTAy7XgT04cMH9O3bl1exsqFiSf4fPHr0CO3bt+cmWnh7ewsdUoP15MkTTJw4kdds0r17d5w9e/Zfy81KClIQdGgjvnMeBqsuHdC6VSuYmrXDF7bDMeeXw4hOrf7dt1gsxoMHD7Bp0yYMHDiwwggdfX19ODk5wdfXF69fv67paTO18ODBA7Ro0YLrRN+1a5fQIQmCJfl/cfbsWWhra3MfXLbsW91KTU3Fhg0bYGRkxCXQpk2bYs2aNVUqA5z+NBAzh7RHIzVddB/2DVZu8cWR48ewe+squNq2gYgInUYvRUQt1p/Iy8vDgwcPsHLlSvTq1Yu7Xso7bJs1awYXFxecOHECCQkJbJZtHTp27Bi0tLS46+avv/4SOqQ6x5J8FWzYsIH70LZr1w5xcXFCh6TwxGIx/P39ebWFRCIRXF1dq9Q0AwC5r4LxXS8jkJIZfjpwExl/bz3JeoQFA5qCqAU8DtypVtPN5+Tl5eHatWtYunQpOnfuzHvyICKYmZlhypQpOHnyJFtGsI4sW7aM+/tbWVkhPj5e6JDqFEvyVVBcXKYQSFIAABeGSURBVIxvv/2Wt/RYdeqWM9Xz6NEjTJw4kVuTl/6vnOypU6eqvhJQSToOzO4DIi1M2HYDn2uQido6GkQi2C06Cml32ebl5SE4OBgzZ86EpaUlryyysrIyWrVqhR9//BGBgYF1srRhQ5Wfnw9nZ2fubz927NgGNdGRJfkqSkpK4nXkeHp6spEUUpaZmQkvLy+uHbW8iWzNmjV4//59tfb18clh9NMgNLKaiYj3n/9ieL5rAohEGLbYD7JcA+r9+/e4cOEC3N3d0apVK94dvqqqKrp16wYPDw/cuHGDTbqSgaSkJF7FyuXLlwsdUp1hSb4abt++jebNm3OjOljFSuk5f/48evXqxVuhycXFpfpzFCSZAPIRvtkRRMpw/H/n8E/PXFcW2YBID1N+C0JhbU6gGtLS0nD8+HG4ublxFVA/nWXbrVs3rFq1CiEhIQ3qjlPWQkJCuKUDNTQ0cOTIEaFDqhMsyVfT4cOHubooTZo0wa1bt4QOqV579uwZvv32W96i3ZaWljh58iTy8/Orv8PCR4D4KXxcTUHUGktOPviHjV9iUT8DkF43bL2SVONzqCmxWIy4uDgcOXIETk5OMDQ05JVV0NHRQd++fbF27Vo8fvyYJXwp8PX15ZYObNOmDe7evSt0SDLHknwNLF68mPsgduvWDcnJyUKHVO/k5ubCy8uLezIqH/2wbNmyWk1cEaeGAJkXsWKAIUizK7wvvfrstu+vrIeZGqHVoHmIlINFoeLj47F9+3aMHDmSW4O4/EddXR1DhgzBli1bEB0dXauFy6siISEBKSkpMj2GECQSCTw8PLi/a79+/RS+P4Ql+RrIysrC2LFjuQvF1dW1QS0dFxcXV+MKf0VFRQgICEDv3r15bdJjx47F/fv3a528JFl3gfzb2DTcGEStsfSPyu/kSz/cheeQNiAlEyw9LV+jpQoKCvD06VNs27YNX375JbcoxqdfhnZ2dvD19cXLly+lXm0xPz8fEydOhLGxMTw9PZGUVPdPObKUk5PDm+g4ZcoUhe5fY0m+hp4/f87ryFmzZo3QIclceceooaEhVq1aVe3x3s+fP8fkyZOhoaHBa5rx8/OTXpCSjwDyELbVGcpEMHf8GeHv+B2vHx5fwBz7TlAiHYxeeRbyPpDx3r17WLduHWxtbXkjdMpn2bq6umLfvn14+/atVI539uxZbnJXx44dFfJJNTY2lpvoKBKJsHHjRqFDkhmW5GshODiYq5+irq6OkydPCh2STN28eZMb+aKmpoaNGzdW6c47IyMDW7Zs4TXNNGnSBMuWLav2qJmqKvkYjfVfW0FTmaDVohPsnd0wdcokjBr8BZrpaaNpWxss2PUXMuvRDVxubi7u3buHRYsWwcrKivdlqaSkhObNm+Obb77BqVOnanz3nZ2dDVtbW26fBw4cqLBNVFQUwsLC6v0ooD///JMrTaGvr49z584JHZJMsCRfSzt27OA+aC1atKjyRJ36ys/Pj6v6qK6ujp07d/7j9pcuXYKNjQ0vGY0ePRp37tyReawl2e9w69xerJg3Ha7OThjjPB7TZv6MrQfO43HSR6lMfhJKVlYWgoODsWDBAnTo0IF3d09EaNu2Ldzd3XHu3DlkZ2dXeb+7du3i9jFgwIAK9Xeys7Nhb28PIsLIkSMRFRUl7VOrUxs3buSejjp27IiYmBihQ5I6luRrqaSkBLNnz+Y+GLa2tgrZYfWpPXv2cCMU1NTUcPjw4QrbxMbGYurUqdx25Z3Ufn5+ghTuEotLUaqg5QQyMzNx6dIluLu7w8LCgldHR1lZGebm5pg7dy6CgoL+sVM7JSWFW3RDVVUVwcHBFbY5dOgQN8bfyspKZk9idUUsFmPatGnc32vo0KEKNxOZJXkpeP/+PYYOHcpdKNOnT1f44W7e3t7cjFRdXV2cOnUKQFmTwpYtW9CyZUvu76Gnp4fFixdLrc2Y+bw3b97gzJkzmDZtGoyMjHhDMhs1agQrKyvMnz8fYWFhFa7RhQsXcttOnToVhYX8mQOpqamwsrLivgSOHz9el6cmM6mpqbynzTlz5ggdklSxJC8ljx494q0mpOgVK8ViMdavX8/NGWjZsiV++eUXDBgwgNdsMGbMGNy7d0/ocBuk1NRUHDp0CBMmTOB96Zbf4VtbW2Pt2rWIjIzEtWvX0Lp1a+69vH37doX9bdq0ift9R0dHAc5IdiIjI7mnGDU1NezYsUPokKSGJXkp8vf35yb1aGtrK3zFSrFYjBUrVlQowlXevnnkyBGFf6KpD8RiMV68eIEDBw7A0dGxQh18Q0NDmJiYcP9fWe31hIQEbv1cDQ0NhIeHC3AmsuXn58dVEDU2Nsb169eFDkkqWJKXso0bN/I6v549eyZ0SDKTnZ2Nbdu28QqJERFcXFwa9Eo88u758+fw9vaGg4MDV4a3/EckEmHAgAHYvn07b43cGTNm8JozFHVc+cqVK3nDexMTE4UOqdZYkpeyvLw8TJ48mbtQhg8fXqW65/XN5cuXMWDAAK7NV1lZmftva2vrBr+uZn2Qn5+PyMjICvVzyn+MjIwwevRoLF26lLvTb9++vUKveVxYWAgXFxdec2N9fxplSV4GkpKSeDM658+frzB3Pi9fvsT06dN5d+8dO3bErl27MH78eO7fevbsyeru1wMnT57k+lWsrKywZMkS9O7dm/u3v/+MGDFCJuvoypPExER88cUX3DkvXbpU6JBqhSV5Gbl79y5X8U5JSQn79u0TOqRayc7Oxq+//sp1zpXPtlywYAE3ZDQ9PR2Ojo7c6zY2NgrxuKuoUlNTYW1tzT2JnThxAkDZe33r1i3Mnz+fN4GtvFPSxMQEkydPhr+/P968eSPzOjpCuHbtGtcHoaWlJd1Z2XWMJXkZ8vPz4+6IDAwMcPPmTaFDqpGrV69i4MCBvA+7g4MDwsLCKmz77t07DBo0iNvOzs6ODZ2UU5+Olhk9enSFGaxFRUXo168fr/nm0052JSUlWFhYYMaMGQgMDKz3M2D/bteuXdycAxMTE0RGRgodUo2wJC9DYrGYt/TYF198Ua+aMF68eIHvv/+eVwa4Q4cOOHjw4D8WxXr16hVv3LGTk5PCP+LXN7GxsbCwsABR2ZT+K1euVNhm586d3Hs4ePBgJCcn488//8TUqVPRrl27CkMyO3TogJ9//hnXrl3Dx48fBTgr6Zs7dy53jr1790Zqai0WAxYIS/IylpmZCScnJ+5C+eabb+S+YmVeXh5+//13btwwUVlt8/nz5+PNmzdV2seTJ094Bdy+/vrret+BpUgWLVrEvTeTJ0+u8HpycjI6derETaIKCAjgvZ6YmIgTJ05g4sSJaNKkSYUmnd69e2PJkiWIiIioMKmqPsnKyuLKOJT/raRd9VPWWJKvA3FxcejcuTN3oaxatUrokColkUgQFBTEa5pRVlaGvb19jcZFP3r0iKv0R0T4z3/+I4Oomep6+PAhN3TSwMAAz58/r7DN8uXLufdt0qRJn03UEokEKSkp2Lt3L5ydnWFkZMRL+CoqKujbty+8vLxw586dalculQfPnj3jvvCUlZXh5eUldEjVwpJ8Hbl+/Tq3EISamprcVax8/fo1ZsyYwVuson379ti3b1+t7sBv3boFc3NzmJmZ4fjx4wrZSVffjB49mnuPV69eXeH1qKgotGnTBkSEZs2aISQkpEr7LSoqQkxMDHbv3g07Ozvo6enx2vD19fUxaNAgbNmyBbGxsfXqjtjf35/7bDRu3Bh//vmn0CFVGUvydcjHx4ereNeiRQu5mO6fn5+P7du3w9TUlPsw6unpYd68eVLrMH306BFev34tlX0xtVNQUID//ve/6N69O6ysrBAfH897vbS0FLNmzeKuhdmzZ9foOBKJBE+fPsWmTZswdOjQCpOutLW1MXLkSPj6+uLFixfSODWZ27JlCxd/mzZt6k3FSpbk61BRURF+/PFH7kIZOHBgldu4pa2kpAQhISEYNGgQb0y0vb09QkND2R23gktNTUVycnKF9/n27dvcHIjmzZtLZVWo3NxcREZGYv369ejZsydXOqB8hE7z5s0xevRoHDlyBImJiSgpKfn3nQqgtLS0QsXK+tDBzJJ8HUtLS8OQIUN47dR1XXo3MTERs2fP5urCE5WVYNizZ0+97iRjakcsFvOuzW3btkn9GOU3F8uWLUOPHj0qTLZq3rw5Jk+ejGPHjsnlSJZ3796hf//+vCcdeZ/oyJK8AJ49e8abVLRly5Y6OW5WVhZ2797NO7aOjg7mzp3LmlMYAGXlKsaPH4+RI0fKfH5DZmYmQkJCMGfOHHTp0oW39oCysjLatGmD7777DhcvXpSruvV3797lmjdVVVXh4+MjdEj/iCV5gVy4cIF7bNXW1kZgYKBMj3fjxg0MGzaMV1986NChVe5UYxqO0tJSFBYW1mmTXVpaGvz9/TFr1qxKa+lYWlpizpw5uHLlilw8bR47doybKGVgYCDXnyOW5AXk5eXFjT6wsLBAdHS01I8RHx+POXPm8Jpm2rdvj927dyM/P1/qx2OY2hCLxUhPT8fp06cxceJEmJub825M1NTU0KlTJyxbtgwhISHVWtpQ2latWsXF1blzZ7l9GmZJXkAFBQX49ttvuQvF0dERmZmZUtv37t27eTMTNTU14eHhUWFEBcPII4lEgvj4eBw9ehTjxo2DoaEh7+5eS0sLffv2xcqVK/HgwYM6H5KZm5uLcePGcfGMHTtW0C+dz2FJXmDv379Hr169uAtl3rx5td5naGgohg0bxhvBMGzYMNy4cUMKETOMMBITE+Hr64tRo0ahadOmFWbZfvnll/D29kZkZGSdJfy4uDhuSUQiwrJly+RuZBpL8nIgIiKCq/anpKSEvXv31mg/iYmJ+Omnn6Cjo8NddK1atcKuXbsUbnFipuEqLS1FdHQ0duzYgYEDB/Kud6Kyla6GDRuG33//Ha9evZL56LXr169zq22pq6vj6NGjMj1edbEkLyf8/PygoaEBorJqf9VZeqywsBB79+5F27ZteU0zP/74Iyv1yyi8hw8fYv369Rg0aFCFVcp0dHQwduxY7N27V6bNlHv37uWOaWRkhPv378vsWNXFkryckEgkWLJkCXeh9OzZ818vSolEgps3b/IKKKmoqGDAgAG4ceOG3E4qYRhZyM7Oxr1797By5Up88cUXFWbZmpiYYNy4cTh58iTevHkj1fHtYrEY8+bN447Vp08fwSY6/h1L8nIkNzeXV1dk/Pjxn33UfPv2LebNm8erNWNqaort27ezao9Mg1dYWIhr165h4cKFsLS0rLDYvKmpKdzd3fHHH39IbbBDWloaHBwcuGNMnTpVLkawsSQvZxITE3kVK1euXMl7vaCgAPv27UOHDh24bXR1dfH9998jISFBoKgZRj5JJBJkZGTgr7/+wg8//ICOHTty49vLO2zbtGmDWbNm4cqVK/jw4UOtjhcdHc37bG7cuFFKZ1JzLMnLoatXr3I1ujU1Nbll2cLDw2Fvb88VOSuvfxMUFCR3PfoMI49SU1Nx5swZTJ8+HS1atODd3SsrK6Nbt27w9PTE9evXazzpKjAwkFtoR1NTs0It/romAgBi5I6Pjw/NmzePiouLycLCgnr37k0BAQGUkZFBRERmZmbk6elJ06ZNIy0tLYGjZZj658OHD3T9+nU6ffo0hYWFUVJSEveaqqoqderUiZydncne3p66du1arc/Z1q1bydPTk4iIWrduTQEBAdSlSxepn0NVsCQvp8RiMc2ZM4d8fHx4/66urk6TJ0+mhQsXUtu2bQWKjmEUBwCKi4ujW7du0fnz5yk4OJhycnK41zU1Ncna2prs7OzI2dmZLCwsSEVF5R/3WVhYSD/++CPt37+fiIi++uorOnLkCDVt2lSm51IZluTl2MePH+nrr7+mK1euEBFR//79adWqVTR06FCBI2MYxQSAEhMT6fz583T58mUKDw/nnp6Jym6ybGxsaOzYsTR48GDq3LkzKSkpVbqvt2/f0tdff02hoaFERDRnzhzasmULqaqq1sm5lGNJXs6lpKTQwoULqXv37jRjxgzS1tYWOiSGaRAKCwvp+fPndPXqVfrjjz/o0aNHlJuby71uZGRE1tbW5OTkRI6OjmRsbFwhgUdGRtKIESPo3bt3pKSkRDt37qQffvihTs+DJXmGYZh/IZFIKCoqivz9/Sk4OJju3btHxcXF3OuNGzcmBwcHcnBwoCFDhlCrVq24106fPk1ubm5UXFxMurq65O/vTwMHDqyz2FmSZxiGqYbs7Gx69uwZnT9/nv788096+fIlFRQUEBGRiooKtWjRgvr160eurq5kY2NDxsbG5OXlRUuWLCEioq5du9Lp06epffv2dRIvS/IMwzA1lJeXR7dv36ZLly5RQEAAxcbG8l5v06YNjRgxgvr370+HDx+mwMBAIiJycXGh/fv3k66ursxjZEmeYRhGCtLS0uj+/ft08uRJCgkJodevX1NJSQkREWloaJCenh6lpaVRaWkpEREtXbqU1q1bRyKRSKZxsSQvd0A5KXEUl1JAhmbtqJW+htABMQxTTe/evaOQkBC6ePEiBQQEUGpqaoVtRCIRbdq0ifr27UtffvmlzGKpfOwPI5icaD8aZ2tFvXv3JJeV5yhHLHREDMNUl7GxMbm6utK+ffvo8ePHdPjwYXJ2dqaWLVty2zRt2pSio6MpISGB/8viYsrNyaTMzLKfrJxcKhLX/F6c3cnLk/yntNJlNP0amkd62qmU0moOPb/uTWZasn2cYxhG9gDQy5cvKTg4mKKiosjNza3iKJvit3R84zLadvYhlaqolN2Fi0Sk2kiXTC370OgJE2lM/06kUY3bc5bk5UYeXfaaRhPWhJK79w4yCFlIy862pLMJl2mMsbrQwTEMUweKXgbTZCc7Opn6JS2eM5x0VYhKCnPoTWwk/XX1OsV91KXRP2+n/esnkGEV7/3+eW4uU2fe3j5Mq7xPUwtXX/p/M4eQ/2tzUimKpPsxeSzJM0wDkZz4iJ7GELX/bhatWf4NqX2SyFPCDtPM6R50/hdP2vZlf1rr2KJK+2Rt8nJAkv2YtixaSpGG42jb2m9JkxqTqXk7MqB0ioxIFDo8hmHqRBElP75JMRINsu3fmVT/dqfe3OYb+sHtK2pEb+nm5dtV3itL8oIroIBNP9GOKCNatmkVfWVadtferm1nMtYneh55nwoEjpBhmDpQnEuPb4VTaaNu1N+yGVVsjVGlZk0NSENEhIL8Ku+WNdcI7E3Qr7Rg81+k32UcGeS9pHOnoqlEqREhIY5KlJQo42kkPZcQdWdfxwyj0EryXtLtsBRS6epE3Y2NKtmilN5/yKBCEGkYm1R5vyzJC6g0OYTWrPiVXigZUcfiWNq7YRlJQEQkIiVREX3IJypIe0JP44m6s6rCDKPQ8uJCKCyZqOvwbmRsVMldXV4shd97QIXUjPoM+qLK+2VJXijiDDq+bQ0dulNM3+8LoP83yoxKS8oHxSuTWqNU2vv9BFoSGEcxzz4Qta3sm51hGEWRcDOUEsiAhnTvSEaVZOaYoD/o5OWXpGe7iCb216/yflmSF0BxwlmKiwih1d5XyXzib7R6Ul8yUvv7Vs2oT3dTojM3KOZpNNHIIUKEyjBMncii0BtRRPqm9EWnzsQvWAxKCN1H8+avoxit3rRtgwe1r0ZJepbk61w6nfX+jUKvR1CG5Xjat2QiGVdI8GU6WVlTK70IKvj4gTKJqHGdxskwTJ3JfkAhD9JIp7k1tWqhR6WFuZRfkE+JT+5QwKlDtHvfaXqr24fW7tlDswZUbehkOTYZqs6JqTCvgErFICX1RqSupvb5IU4opfz8IhKpqJF6I9VKetsZhlEExWFbyXLEAnrxkUhVQ51URSBIRKSqqU0GRqbU+ytX+nGOOw1oV/VmmnIsyTMMwwis9GMC3Yl6QbnFEipLySJSVlUjLT0Dat7KnFob6ZBSDe/yWJJnGIZRYGz0NcMwjAJjSZ5hGEaBsSTPMAyjwFiSZxiGUWAsyTMMwygwluQZhmEUGEvyDMMwCuz/AybLysOwNMscAAAAAElFTkSuQmCC)
Maths-General
Maths-
What least number must be multiplied to 6912 so that the product becomes a perfect Cube?
What least number must be multiplied to 6912 so that the product becomes a perfect Cube?
Maths-General
Maths-
Rohit, Peter and Santosh walk around a circular park. They take
𝑎𝑛𝑑
to complete one round. What is the total time taken by them to complete a round in minutes.
Rohit, Peter and Santosh walk around a circular park. They take
𝑎𝑛𝑑
to complete one round. What is the total time taken by them to complete a round in minutes.
Maths-General
Maths-
Determine y so that ![y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses](data:image/png;base64,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)
Determine y so that ![y minus 2 1 third equals open parentheses negative 3 7 over 12 close parentheses](data:image/png;base64,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)
Maths-General
Maths-
Find the simplest form of ![open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses](data:image/png;base64,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)
Find the simplest form of ![open parentheses fraction numerator negative 1 over denominator 2 end fraction plus 1 third plus 1 over 6 close parentheses divided by open parentheses fraction numerator negative 2 over denominator 5 end fraction close parentheses](data:image/png;base64,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)
Maths-General
Maths-
What is the result of ![2 minus 11 over 39 plus 5 over 26](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGQAAAAjCAYAAABiv6+AAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAptJREFUeNrtWkFERFEU/UaSJJKMtIgxkiQxkiSJJEkSSVokwyxapX2rtGnVNi1bRJIkaZMx0iKSpEUirdq2GMn4hulec4bv+3/8mWrefX/e4SzmzzPum/Puu/ed9y1LDnqIW8THPxpXaxTKUEscElMBJhB0nApBQomCpn+AEcQIYgQxgmgmiE3MEi+Jm8QWI4h6NBAT6ARfiL1GEDmYImaMILKQM4LIQT/xzQiiBqfEEWIEnIYYC9X82CjxBB2CDVtiRYD18JtxtcYi8ZWYJ34Sj4lD1f4YF55lR5vWR7zFMwMh6CY+hXyO2h3mckYQORjBtmUEEYAm4h2KvRFEMdqIZzhlVtoVBe1+Cv/M0MQcgxjxOmlcRGcIm2AHxOY66iTFChLFQaahzlp7sYJcWCGwicMkSOjemDCoHhNW8YbtGwdR9oP2iO0eY8eJNxjH40/QiNQalXp/QygJWcR+jrmIRNoqOqKNjmeDxCvXOG7DnzG5COpd0ireykVrHHMl3l8KAvTgcyvEu9Etc7Kuz/c+2cAu666AeL28vz7ErT1iWPlO5H3GcrY8CInb7f3tW5o75rz1rKGOzLi+48uehM/K/BYQu5f3x4uqU9f208kNn63pHcWwdCs3i+ywFcfv5/3lUDtOsWhsbGErugjDPto8Jjfu02WlMdEcOpe44gwp5/0VsGBm0IREIBrvAOs6ZUwLRKlkdaqqdeW8P25Mujyecxf5ods2FvRyjM8x2wriC+L9XSIrvGDrJMYA0joIdnxW4X83H0G8P96WlnzEvJP652dQsEt77ASK96pr3LXrAMki8OuacwpiDur9NWJ+SYd4wzivTEoVZAwTLBXqNLonNybxXR578xEySUJXWM7768DW9oXYM5izJ34A4moE24iOh0YAAACtdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1mcmFjPjxtbj4xMTwvbW4+PG1uPjM5PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1uPjU8L21uPjxtbj4yNjwvbW4+PC9tZnJhYz48L21hdGg+npXTXgAAAABJRU5ErkJggg==)
What is the result of ![2 minus 11 over 39 plus 5 over 26](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGQAAAAjCAYAAABiv6+AAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAptJREFUeNrtWkFERFEU/UaSJJKMtIgxkiQxkiSJJEkSSVokwyxapX2rtGnVNi1bRJIkaZMx0iKSpEUirdq2GMn4hulec4bv+3/8mWrefX/e4SzmzzPum/Puu/ed9y1LDnqIW8THPxpXaxTKUEscElMBJhB0nApBQomCpn+AEcQIYgQxgmgmiE3MEi+Jm8QWI4h6NBAT6ARfiL1GEDmYImaMILKQM4LIQT/xzQiiBqfEEWIEnIYYC9X82CjxBB2CDVtiRYD18JtxtcYi8ZWYJ34Sj4lD1f4YF55lR5vWR7zFMwMh6CY+hXyO2h3mckYQORjBtmUEEYAm4h2KvRFEMdqIZzhlVtoVBe1+Cv/M0MQcgxjxOmlcRGcIm2AHxOY66iTFChLFQaahzlp7sYJcWCGwicMkSOjemDCoHhNW8YbtGwdR9oP2iO0eY8eJNxjH40/QiNQalXp/QygJWcR+jrmIRNoqOqKNjmeDxCvXOG7DnzG5COpd0ireykVrHHMl3l8KAvTgcyvEu9Etc7Kuz/c+2cAu666AeL28vz7ErT1iWPlO5H3GcrY8CInb7f3tW5o75rz1rKGOzLi+48uehM/K/BYQu5f3x4uqU9f208kNn63pHcWwdCs3i+ywFcfv5/3lUDtOsWhsbGErugjDPto8Jjfu02WlMdEcOpe44gwp5/0VsGBm0IREIBrvAOs6ZUwLRKlkdaqqdeW8P25Mujyecxf5ods2FvRyjM8x2wriC+L9XSIrvGDrJMYA0joIdnxW4X83H0G8P96WlnzEvJP652dQsEt77ASK96pr3LXrAMki8OuacwpiDur9NWJ+SYd4wzivTEoVZAwTLBXqNLonNybxXR578xEySUJXWM7768DW9oXYM5izJ34A4moE24iOh0YAAACtdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uPjI8L21uPjxtbz4mI3gyMjEyOzwvbW8+PG1mcmFjPjxtbj4xMTwvbW4+PG1uPjM5PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1uPjU8L21uPjxtbj4yNjwvbW4+PC9tZnJhYz48L21hdGg+npXTXgAAAABJRU5ErkJggg==)
Maths-General
Maths-
What is the difference between the greatest and least numbers
and ![11 over 9](data:image/png;base64,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)
What is the difference between the greatest and least numbers
and ![11 over 9](data:image/png;base64,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)
Maths-General
Maths-
Which is the correct descending order of ![negative 2 comma fraction numerator negative 4 over denominator 5 end fraction comma fraction numerator negative 11 over denominator 20 end fraction comma 3 over 4](data:image/png;base64,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)
Which is the correct descending order of ![negative 2 comma fraction numerator negative 4 over denominator 5 end fraction comma fraction numerator negative 11 over denominator 20 end fraction comma 3 over 4](data:image/png;base64,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)
Maths-General
Maths-
The sum of two rational numbers is -5. If one of the numbers is
What is the other number?
The sum of two rational numbers is -5. If one of the numbers is
What is the other number?
Maths-General
Maths-
In the given figure, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7cm, find the area of the shaded region
![](data:image/png;base64,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)
In the given figure, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the smaller circle. If OA = 7cm, find the area of the shaded region
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPIAAAEBCAYAAABCGfinAAAgAElEQVR4nOydeZykVXnvv2d539q7qvfZN4YdRlCBoF6XaBTURAyRxKiY3OtNTDQkQUWjBvEGUQyIiaIxJmqiJprkmly3xDVsCrKJ7DLDsAyz9PT0Vl3ru5xz/zjvmWoVFWR6pqep3+dTn5rpqq6qrvf9vec5z/N7fo+w1lr66KOPwxryUH+APvro44mjT+Q++lgG6BO5jz6WAfpE7qOPZYA+kfvoYxmgT+Q++lgG6BO5jz6WAfpE7qOPZYA+kfvoYxmgT+Q++lgG6BO5jz6WAfpE7qOPZYA+kfvoYxmgT+Q++lgG6BO5jz6WAfpE7qOPZYA+kfvoYxmgT+Q++lgG6BO5jz6WAfpE7qOPZQB9qD9AHwcG99x7Bxe+60I2btzIzkceYeu2rczO1SlXBiiU8hx/9Amc/fJf51nP+h+USuVD/XH7OMAQfRfN5YPpmSkuu/wS9uyd4II3v4MjNx+FFC7o+vy/fI5P/cMneNnLXs5vnfNbDA4OHeJP28eBRD+0XkYYGhzm/gceZHrfLEpqpJAIIRBCcOYZL+aYY4/mhutvYHpm5lB/1D4OMPpEXmbodFoUSiFgWBhsPbzjYR7e8RAnbDmOgYGBQ/cB+1gU9PfIywzGCpLE8sBDD3Ldd7/L3sm9xFHE1VdfzQte8Mu89jW/y8jwyKH+mH0cYPSJvMywYeMG6rOzzEzPsGnDJjZv2kwYhqxbv44vf/lLlMplXnnObzM81CfzckKfyMsMxx97Ag/vuJ8TTjiBo488Bq3dIT71lFPpdNt87nOfw6bwqle+mqGhfsJruaC/R15maLca3HTDjcxOz/zIHlkIQdJNOO2U05ianKLVah3CT9nHgUafyMsM5VKZFatWUigWEELs/3mapsw35rn66qs4YvMmBqr9hNdyQr+OvIywe+9OPvhXlzE0PESSGIYGxxioDBC1I7717W9w9w/v4nde+z959Stf0w+rlxn6RF5G+MsPXkbciVi9Zg0z0zN0Wm0AgjDH8Sccz9NOPpmhoSGUUof4k/ZxoNEnch99LAP0s9bLCv6aLB7l53H2b00/NbL80CfyYQEDpEBCGs8BdSAG2+X+u+9lzcYRdM5S37eT8tAwaRKRL44zPTPGx//2Y/zWK1/A2lUdTLwHYw1ChOhciajRIiyXECKPOxVGEaKGUCFC5IASUMAR318Afvwi0cdSQD+0XnIwQBOT7qM1twMpmyC6RK05ZufmGRrdQBiUkTKPNVWULqPyRYQMcURTuBU4x+49u3nnn/8h4yOac1/7ZjZvHkHriew97ILntrCp+3+atlDaYu0s3focQalEGlmkHkCFIwgxjBArgWJ26++3lwL6RD7kMECL1vxWmrMPsG9iK+uP3oxiAKFq6GAzQhXcU4VCCM1jXRVnZ2c5//w3EgSKyb0TXPiud3PiieMo1cGt6hpH5CD7HNn70KJH9ghoglVAC8s80AUbEzUkKrceFR6JEKNAnn7YfmjQJ/JBR4JJ57F2ik77boKggQ4HSJMaWq9DyBU4Yj3xEHZ2dpY3nPcG3nz+m/jud67h29/6Cm9924U89anHovUcMI8jswEirE2BIkIsJHEJR9AU6GTPncav+jBDpzlF3JglX66g8kci5CaEqNELy/vh+GKjv0c+KDBAnXZrO53WNhr1WYZG1pErHIvSQwhRQ4YHPkRVWtGYb9BoNHnd6/6AgWqVt7/9fM4774/4lV95NoWCxiXBCoBFCIULlQWQZK8S4whNdl/Nnq9woXVAvjROvtTGGhemwy2k0RTW1hByHVJtQMhB+mH44qFP5EWFodvczr69t9Jq7mF4eBPloadSHVqNEPkfUV4tyrsbQ22wxsBAhSAIeM2rf5ejjjyO889/I/P1Oi8762zK5VkgwNoukEMIiVttBY54AdAFUqyNgDpCVHCEncetyhYYRcg0e26CCmtYM4NN7yBp34FJi+jCsUi9ESFK9EPwA4s+kQ84Ekyyi30TdzCxayu1gTGGxk9i5fqXIWXIwQwzS8US5WKJbifCGIOUktNOO40PX/k3vPWC8+h2I87+jV+nWlUI4ffJgl4iLMaF0wGO5DXwe2Qs1uaAPELY7HcNjqABECLkCEIWkcFuwBC376Q+cx2l6jEE+kiQI1l2vE/qJ4o+kQ8YGkStrdz1g6sZHs5TGzqG4056JVKPZCHroUGapCRJ8iMNFCef9DT+/hOf4y1v/iPuu+8e/ui8N7N6dR5rZ3GnRBvQuIChk/2siyOqL0NJhEhw4XZMmnSQMoeQMW6VJnteggvHLUGhzGDBZeWj5nWYJEKocYLCU5BqjH7o/Yujfyl8wujywLZr2Xbn59l1/y1s2PwsVh9xLgMjz0EF44eUxEIKipUiQgp+PKe5ds1aPvGJf2K+EfN/3v1OHnggRoh12aMaITQmDbE2j8twW6ytY20HR06b3RugjNKlrAQ2DAxgrX/PZvY8/3sxUCIsbSBfXYcutBDiNuAGYBe9vXkfjwd9Iv9CsKRpk0ce+jY3/NdlbP/+VaxY+QzWH/87DI4+HaWKLIVMrZKKJEqZmNhDHEc/8XixWOSKKz5GdXAtF7zp9dzxg/uwppiVuCxSJQjRIolCrCkgxChClEnjJtZE9IQqbVx2G/weWYgRQGJtmD0nj0uSlellv2sotQUh12DNPEn8LUz6NUy6Nbtg9AsqjxXqoosuuuhQf4jDCdY2mNx5A1/99ysYGgjZfOJLOerkXyVXGs8SRUsLN978PaQQHHXU0RQLxZ94XCnN8573fHbtnOTKKz/MypVHsnrNBrSOcQkug1QDCGmAGGvnEVIhpMCtAym+hGVtCwhxBKwhhM32z116hI9we2iLNW0gRYguQgRIVUPIlPrUbQg5gw5CHPn7O8Cfh/439JjRxkSP8INrv8CKjet52Sv+lFxxPUIemJrvYmF63zQnbTmJfC7/U5+jteaP//RNrF2/kb98/+W0Wr/PC1/0AorFBkJ48rlE2I9KNzu40HnhYwqoAbNAKyN3MdtvaxyhAyCPkEVcKD2XvUcOGKE6WgPqzO/+CkFpkFz5ZITcgFvV+3g09In8c2Hodu5n251fpywVJzzjJej80VmWd+njxKecyAMPbqfRaFAqlX7q85TSvOIV51CtVnjPxRcyMzvL2Wf/OgMDLaxtAmWE8PXjOaCB2zd3cKtwmIXkCTCRverC0DjEZbxL2XO6pMk+pAwRchy3WhusFfhEW2XlyUCbuHMrUm1D6mMQYg2O8Ev34nko0CfyT4UFO8lt3/0PkniK8fWns3Lt09G6xOF0EsVRwvx8gzRNH9PzX/jCM6lUKlx44TtpNGJe9aoXMTS0Dmtns/3ufKb8AleSAvd9+NKTy2I7shWyC55PdvnMtytbqf1n3wygsTbBZcM1XmwCRYJ8EZjGmptozt9JmH8qQbiK/unbw9Lb1C0JxMzN3Mq//sP7SIxmy+m/y9qNz0brMocTiQEazXnyhRxKPfZDffrpz+Lzn/8C1177Ha688lPs2QNuRZ3AkcvLOmV23yHu7MOkPjz231OKW4XT7FbBWoW1ZXyYbW2cZbctQshs1fcr+zxuVR8CNiHEMYS5hPnpL9Fp3YyPCvroa61/DJb5+iPcfesXGBseYM0Rz0cXVh/SEtITxXXfvY5rrr6G17z6Naxdu/Zx/e7U1BRveOMfMDyU503nv52Nm6oIMZ+pwNoIYiAAobHW4MQhkiSaQaoCUkni9hwqLCJV3j2XNpAjjacRKkRKf/p57XaMuziE9OrRCreaD+HC+klgFpNKhDwOIdZnz3/yor8i70ebZuMmvnPVR1ix9gjWHfsbBMW1hzWJAWxqaTYbpOaxhdYLMTw8zN989GNUayu57PL3sXXrJNYOZUktsAQgcrgQW+8Ps3VYRSpHrKAwhFQCJ+lsY22EtW1UUEagsjq14kf7nX2LJFgzi7XzuKTa3uy+Aoxhkw42vQaTfBtrJnEXgCcn+kQGYIqHtv0L9937XZ753N9j3aYzUIdhGP1oGBsbw6QWk/5iJ3mtNsi7Lvw/rF9/JBdc8Dauu+5WoqiEEIOZZtpk5Iywdj5bmV3pyq3A7kJorcHaAkIMIcQAUAahs8d8KyU4ArtkGMwhZIoQKW7FldnNAgVUbi1Sb0LICGuuwpr76DV4PLnwJCeyIerezw9v/We2b5vi2ONfSWVg/ePq+V36sMzP1x9zsuvRkMvleOtb384ZZ7yYP3vrW/nKl6+i1RrD2iEcASVuVS5k5Sof5nZwoXQBIQaBDtZOAbNYuyt7LMkSYi5b3VOMKVy5qYgrdS0sPbVwIbYCSgg5jDGa+emriDo30dtbP3nwJE77tXj4/q8Rzz3C8PipbH7KSSh1cJsaDgaKpRKzc3NEUYS19gl0XAle//o3sm79ev76r97HXH2Ol7/8pVSrFYRo4WWcjsRz9EJln41OspXV7X+FGKJXO9ZYUwcRZ7ZDedxxyOMSWkl280mz3ILXdqu1DjczMDIGdgqTXoUQJyLEajhMyoRPFE9KIqfJFF/4p/exbuNaTj7lNwhz4yCWZwN8o9GgkM8fMAvcM894KSMjI1zwljcxMz3Pua99NcPDNaxtAx2E8MqtEEiy1scB2s0pwpxAB57AHRwpLW5VLeJCcoV3TelZF3Wz16zgw3a3by5mFya/Bw9BjCHkHuLW1ajwFFSwmSdDIuxJRmRD3N3FrTf+C6f80ums2fQ8tK6ynHcYq1etYu/kXjqdzgF5PSEEp55yOv/wD5/lf73udVhhOfc1v83wcLBgxc3hklKF7GcxhVKJnhLMt0kGOFK2AJVdBCSOrL4xo4xTihnc6uwI7xJuhey587jVW2WfcYywlCONbsYk+xDqKdm+fPldqD2W7xn8E0hI45u4/XufYMX4cazZdCZa11juX0G73QbsAT+H16/fyGc+/VmuveY7/NUHP8CuXSHWrsKRc8a9JykwAFgERQQ1eoZ9Kd68QIgyQuSx1mbKrnL2OiXcRSGh10XlJaESd2FwiS8v+3ToAiEqXIVlEuytuJLVL54nWOpY3mfxfkTs2/117rn1vzn+aa9g3ZEvQOsCy/kKvRCr16whnz/wOuUVK1bw8Y9/gqnpBu94+zu5774Zeh5fIY7ETaydwTIFwiW3HPkqWSa7g7V1YA4hxAK/MC8HdWqvXi90SM9uKKBHeI1PfrnHSsAgSq9EyA7zc1+j27mP5domueyJbG2HnQ99k0e23cdRT/kt8sWjsqz0kwPVapW5WZfsWgyMjIxy6aWXMzyyikve825+cFudND2aqGNpzu8iTTRC1LC2sF9H7V07hSDLdPsMdQXI0ZqbJokM++vLNgHrlWK+xznK/m3o9TmnuPDbh+gme68ayXyX+q6v0G3dgsuWLy8sbyLbSW695komd9zH8ae9mjC/Hg5zgcfjhRCSTqeLMYsnlqhUqlx22Qd5xjOfw1ve8ga+/OVvkphRSpVRpGphbUSaNDFpN1OFCdy+1sM7icRY26QwINFhZsNLxz19f/bZk9SrwGLSpI01Cb3MeZEeyZ110eCaIxnZsAUpfkga3Ya1jUX7Pg4Flu3SlLR3cOf3P8eGDesZXHMGUlV4soTSC5HL5TA2/QmHkAMNIQSve90f0O3G/MVfvIt2++386q++gFKpAjQIwghrfe3XGf25ENj3Kcd4vXXPRjeHl3S6m2/I8Eowt9eW+wsOBbwjaC8rrrNbHiEipBaQ3u84rk7E7ccPfyxLIhszzf13/QeF0jDVVS980pLYo9PqsmvnTo495thF2St7KKU477w/4bjjjuOKD1xKEEjOPPPZFIsaaGXmfd6Vs5vVjnMLlFtk934bkGYSznYWfvvRNV16HVZJ5t7pWxu9GMQ/v4ML27sgDCoYodvp0py6ndIg5Ipb6LmbHL5YhkSe4Zpv/C3l4ihP2XIOOji82g4XA+Mrxoji6Ampux47BC94wYsYG1vJW97yp8zOTvOKV5xFKR8jZCubKxUCJjNlWKjmchJMV3sOcauxQghP2ji7ebFIJ/u39wNz0zDcSjyCC7F9P7XItOCWXGUducoRpPFDpN0bEfpEpBrmcD5PltUe2Sa7uf7bH+WII47gpNN/q0/iDM1mk+GRIcLcwRNGbNmyhQ9+8K/4/L/8X6788IeZmi0idSEjpTe99/7ZXqUVYa1AiDGEyGVlKYkLfxOgRrcdEHUSjGkDEms6C7YN3hfMl6xmMxIHCDGOy3Z7VVgKFuLWduLm9zGJL5kdnlhGRG5y7+1fYt2ajazacCZae9XP8sUd99zObH0WY392IuuFZ7yQrVu3Mjc7d5A+mcOxx57AZz7zz9x193Y+/vGPs2uXwNphHDFH6CmyfG3YZ5/duJo0mciSWJ748+QKJcJ8BSldhlpIsUAcAn7/7MpaadaVJejVoWNcZjtFhWvJDz6PoByBvDdTix2eZF4WRLamzt6HvkSrbhlb/1LUYebi8YvixGO3UBuoIX+O6d/kxCRJHB+Sr2RsdJwrrvgQu3fP8Y63v5ObbryXKCrg98FOBOLKTkJUcbLOJpBD6WEQA5hUZmb4HdweOMHta4v0RCAx3jjfj79xzRi+a8qrxaA3WysG2kg5iJR7sPYWrJlZ9O9kMbAMiJyw/Y5/Y8dD+9jyjFcS5JZH++GBxMaNGykUiofsWxkdHeMDH/gA4ys3c/nll3LbbdtIEjcLyhEuAUTm/5VmK6g38mOBV1gZR9zSgsdDQDM7uY9uK6Y3EdJLNv1q7nXbVXrTJ33ZaxAYgnQXaXQXJj24kcuBwGFOZMPeH36R2++4h6O2/Bo66JP40TBQqbJ371663e4h+wxhGPLeSy7luc97CZde8udce+33iaJV9Ez5Gtme2JePYpx/1xRCzmaJKudMAnXi1sOkyTyudpxQG62SK3o9tsV1YDVxybNidpGI6IXXPmk2mN2XkMEqjHkQm/4QF/IfPjiMs9aWh+7/Mjsf+iEvecXbCXM1+iR+dASBJtDhIc8ZCCH4vd97A+vWbeJd73o3f3zeH/KSlz6bfL5CL/PcoWf3o3FqL6/ySvHZ7aA4mr1qkD0/yMjazbLiXs4pEYLMGyzKkmclenvxeXo+ZFXCYom4fT820qjguKytcunj8CWyvZfdO+7g5Ge8miCs0ifxT4exlm43wphDn8hRSvHiF7+EkZEal112Ka1Wg5e97CwGqp7IAkdAV1uOO/MorZHaZZqdMqyQabKrLBxf48zwB+gJSXwPcyHrfvIiEU9iv0/2IbqTdAb5EeB+EAPABg4HmhyGobUliX/IFz/7YY498dfIl9YsyQkPSwnDw4NEcZs0XRoNA0IITjvtWZx//p/x//79//L5z3+emRmdzYsq48JdZ6OrcyFC+Y6pKkKsQgg/kqeOG7ruSlFQxNo5rN2HL2mZtJuNtyni2iE1vZA7wdragsdC95gogBikvvsGuvP3czh4gR12DEiTKbbe+EX+x/PPpjJ4zGFvjncwMDc7j/PeW1pRy+mnP4OP/d3nuebam3n3u6/gwQeDbOV0Ig5r46ye7J1BmrgJFg0cubzzpjcjkFkThg+3JVJVsvE2U1g7mRkgFIEoa9rwrzdFTwWWB2qUR8vI8B5MupulXpY6zIgc871r/400N0Rl5JeQcumHPEsBxx1/LN2oQ5zEh/qj/ASGh0f52Mc+TqMZcen73svWrTPAWlyGeqGaq4knZ89t03VSWdvO7IScyMSttIpeT3SCK28FC8ba5Ok5kXitt5eGunKY1MMo1QC2ga0v/pfxBHAYEdnSmPwOmBmOPP7lqCdRP/EThdYBu3btpts5dFnrn4ViscSH/vpDDA2v5IIL3sj3vnc7xqxFCIE185lyy/up+aYKLwCxWbY7qxnbIoJytor7lsYIl/EuYk2CNZNZD3RIL4xf+Jr+olFF6qPo1LcSt+8Be2BcVhYDhw2RO61tXP31f+e4k15OmK8e8gzs4YShwUFKpRJSLt3DXSgUueiiiznrrP/F5e+/hP/+1jVE3QAhR7PM8SBuFU1xq2iHXqmplj0WYEwLa2UmNCniMtQD+NBcyGCBDW+SreZtXPbaYC04xWcOY2KskRQHj0DldmPsBEs1xD5MYtNZulPXc+pzfp2B2qZ+cutxQuuAnbt20uku3RUFXK35Na85l4GBKh+68uNI9Qae85wtKO3bEr2xXwlHYufA6YjtDPpc84PrmPJJrd5e2q3aQgRZ9hsEEkQJX4ISwtsHxZgkQkoQcgwhLVH7dlSg0cEqllo0eBgQOaG+77vceucenvn8s5FqaY8xXaqIutGimgscKEgpefnLX06hEPLe972f3bvP5ayzXkCp7E3sfbOFJ3dCz9rHj3+dp9fq6M0FfCPFPC7R5ZOk/vctjvz+tRN0OJC9zj6ECAjzHWACa4eXXH15yRN5ZuJ7XP/tb/H8s95KEPiyQx+PF6Ojo4TB4WMLe8YZL6FcrvC+915Ms7GPc37zHGqDRZyxH/SM/bx1kEvkWTuDy157QgYLHtc4svv9tu9j9nObI3o1ZT/EXeIlndaUqe+6jvxAQr52EkvJZndJx6jWtpnddSfPPfO3CfND/X3xE0AYBszVZ4jjpZe5/ml41rOezfvefxn/+bWr+MxnvsD0tLPQtXY68/9KcCH2JC68riNElGm3c7jss6InBHF9yT0DfICINJ7DpD4rrRbc/LyqBGuLSL2GysqNBMUJrJk6KN/BY8USJrJldtf17JpsEBSP7teLnyCENFSrVbRe8kHYj+CE47fw93//aW6+5VYu/PN3sPW+NrBmQa241/yQJhZrFs6HauLC5YXGA36Gs7cYkqigkLnIFEnjNiZ1/ttp3MKkCiFW4MQmoIKVGNOh29lKmiyd5oolS+S52Xu49povc9SWl/ZLTQcAs7MNGo0G5heYynioMTQ0whVXfJByZYgPX3kl997bxNoqLrT1/l0hSufcwBA6ONUX9GrGAb1mDL8Xrma/66ZVWDuD1Bap3CgbFYwgVYgxHbA2u3hUUOE6JDvBPsJSsdddokRus/We/2bLaWcwNLoJKQ/1auyGefeu5EuzBPGzsG7taqanpw5pB9QTweDgKBe+6y9YtWYtl7z3Hdxww70kSZmeqgt6e9swu7l9snMeadAzse+1SPa6oCxC1BCijFN+CVyiyyCwIEL8ZAwpS4SFAeJ4G3E0cVD+/p+HJRln7drxHSZ37WXLU1+LUov9EZ36x5omxsySdqeI2lNMTzzM9MwUw9WAXJBQquSI44R2JGk0u6xbu46Hd8yzcvVx5GuDCBEi1Zhrw9tvFLd0ogitA1atXE0Y5n7+k5coioUi573xAj7y0b/mkkvezwUXXMAzn3k6Uu6lZ7pXpKfmco0RQuQxqQXRyNok8yAMvk85jWcRMpcNYxf03EpciO7M/Zwk1NpZXJmqQhzfhxCPAL7kdeiw5Ihs7Rw777mJF7z4tehwMbLUrnUtbm9nenoPqjnDAw/eQzI/zapVwyTFPKEQ5GXAsUeNIQOJzAUIHRPGhmpYxMxOEzenGKql7Nn5dSozmvpsRGe6iwjyrFqxhtKKjajCMCo/gpDj2UDwQ0fs0ZExJif30e12D7t98kIUCkXedP7bWLN6DVde+XdM7p3lhS86mXLZnyuuldFLNF3iq5jVl/3cKU1v3IxGBSOAyqx+fBeVX4H9fnsue70QR9oBKtU2xmzH2hGE2MihDHCX2BFNuf17/0ZhaB0yWH0As9SuRpi0H2Jy53UMrZTsuHUblVqV0tpxjiqupTJyKjJXANEBcthkGpTr1DGJRqgiQWgAgxweJjcCeQHDjACacQSmA1iDNRHdiXtoPdJk+32PUF25kVXHn06hdgxC1nBh3cEldRjmabfbB8lJc/FxzjmvYsWKVXz4w5eDEJx55hkUCp1sxcxnBPbNFd4pxB1bd+8dOH3vcjc734YXvIu7KLjzZyB7LT9J0pkCClpgp7CMIUTlIPzlj44lRWRj5rj/3jt5ySv+5MAIP2xMkuxFdL/P9dd8izWFkJG1o5j5AkecfhxC5UEICjXoeTolQBuh3XubGIT2VqrgQi2AAGyKSTVCgRAg8z5jqihuylEk5WlbjmTXXTt48I6vs3L0e7STkNq6Z1MYOAohF5ZBFhnSYH+OSd/hBCEEz3nOL1MdKPG2t72V3Tu386rXvIZabRAv+uhps82Cfyf0zO29eCRPr+Y8R69Zw/+Ot+b1NemE/Va9soa1e4FxnCjl0KzKwi72CILHjJSr/+tD1AZrnPC0V6L0L7qXc6Hz1MSt2NZW7rr5dtavG2PtyRtRQoIOQUiSdgsZlhAydaGU9QIC9o8nMWkCIsiGi1mssY6x1p0YQoCJO4ggyOZJLfCBslnjusiB9Qc3Ym73XlQaIW2RTjRKceXTyRVXLHp57R/+8ZNUB6o873m/TLVaW9T3Otj4wQ9u5uKL38PGDSv5gz88jw0bcggxhdsr+1EzPmPtR9Z4Y76AH50F5ffDPtvtVWFeNeaTnXL//038MNYMIfRTkWpokf/aR8eSyVon0cPs2XE/R295CVL9ooqZSfY88hWmtn6GXXd+nca+Br90xm+y7pRnIYMiBCEIF/qqfBWpQjfO00js/uSUP0AWqSQmboH1LhIBNk2xJgUhsWmKCHS2p/JlkCwpYgI68xFpkmIRpFEbayOqKwcpr1lJcU2FPbtvYvahf6Yz9zVMOsFijv0UiAUNAcsLT3nK0/nQhz7C9EyLS95zEffesxPXSOHHwfjj4zucvPumYWHWukdeL9n0Ca82ThziylKubOXPFYXQI9SnttFpPMyhMiFYIiuy5Zbr/p6N6zcyuPo5iMfdZ1ynMXc9cztvIzFQLNcYXnMUaTJLEjfJl0oI6bLTJgGhvNfxj5eSvJY3G+dpvTwvgf0LcQxGgMwhsNlCnhK1mgTFIlI5gkMAUhE36wiFc7oQuNcW/j27LvxvtrnnxgfZ9NSXUqicjJClA65i+8dPf5ng7eIAACAASURBVIpSsczzn/8CarXltSJ7zM7OcOml76PdmuT1r//fHH3MZoRo4MJnbxrgk1y9rZu1Mc4OKI8LrQ2QJ42bCNnJFpYSvWy2WTCcvQRYTHIfQowi1Cm4Tq2DC3XRRRdddNDf9ceQxLuY3HUT6445A6Uejyd1TLN+J9PbvkmY7qZcLTG8fh3FagkhO6gAlAgcA0VKp9lFKYmQAhu3aU3Oogv5rJtK4jfCNo2Zn2khpXAXAANxM8JELaTWRFHk9psmxUQRMgAVaKwBawQIRdRuYtKUMCcRSiFkiMASNZtIZRHSADkQFWQ4yOiqMjM77mFq143kihIdjmTh+oEh9CO7djA1NckRR2ymVFoeg8t+HPl8gec977nce89Wrr/+Wmq1cYaHx9Ha75fd9imNXReYKytphJAIoTCmATbKIqwUqSRChrhV2IfVztdLiDx+ODumiZAJaTINtoZQgxzsYHdJhNbfv+m/KFc3PL6sn53j7h98mtu+9fcoMUNxzQqCwbVYY0AYZ85mLFJH7Nm1B2MgXywitQYTgVAUx1cglSMeNqUzNY1Jnc62MjRAkA+RCtI0RcoEnQ8RQpLL5whDATYFhLuzPjmWkrYa5PKKqNMiRSNUye2BhSAo5EDmgTImCTCJoTs/D3qE8aOOZ/2Wo5jeczUT2z9H0t2ThQFPHMVCgThOMEshAFtEKBVw3h+/iXXrjuaCt5zPl7/4TTrtURwZ3d+uAotUbkKjC6MN0EYgQLhj425FFm6X3CpezN7J771jF53JtUhVQsh9uDLXwcWhJ7Kd4oE7b2XdhtOR8rFkqi02uotbv/E+aoUZfumlz2PkmGMRQjh5nRbErQ71iRmMTUAWGRur0p2ZxRpvFaPcKonApoLGvmmMsYQDA46cQgCK1kwHk4CUClUsIEOV7Y9DEBqV0+iCRmpXs7Rpgs4pRJADOUB5cAVKadJuHWtcQkWoPFiw1iC1RuqAXCVAKhCqgJAl1hx9PCMrLUnjK6TJfVno98RQKOTZvv1+Ws2Df5IdbGit+f3Xv5EL3vpOPv3pT/H1b/w3cezdPwyulOQI6cz6XLVCSG+Gb7KftzBmHmtaYL3MM11wU9lIGucwIvUo9Yl7aM89yMHeKx/i8pNl5/bb2HzMFnR+9DEYBjS5+5bPU2MnR25ZTXlsBVhLt9NBYUjjWXKVPGFphLBkgRbddp0wX3QGq90YnYe0k2Btgi5YTAyl4QomTpDauIJ/ZvZWrBWBAETiyJe6UhQmdQuwCBDCYJIuIFG5PDaJkSqL5rOMuIkMUhr3UkJkOQBv/SrYP5jbJi4LriW6NIYuNKjv/ho6fxz52qlINcAvGmpv3LSJKIpIkqWhDV5sCCF54Qt/jTAs8Lcfu5JdjzzEK37zZQwPg+uWct+/nwzZC53rmbWQckZ+aNwWyI2C7a3MPgvuvcFcbbk8MggiwtpO5vZ5cHCIV+QOP/jeNzjmpF/J6sY/A8kM8zv+g9Wrm4yfsJni8DrSKMGmks7cFIiE3EABIX13i6BbbyKyeqHOh+hCAFagcorJiQapMcjAZaul8lnrGGwAtoxPdJk4xaQGpHQXG+HLE4Zufd7VkJVGkK3mIkDIiOmdO0niLkEpjwjymfFbCMTE7SiLmn2G1GmDZZAj6bQxscKKcQZWrUGK++hOfxGT7OUXvdLP1xtUyhWC4Od8z8sIUkp++ZdfxJve/Odce911fPpT/8zeiRSXjPK+1l6XDf6iKsRAtso26fUk+2HrGbH3U6c3bwoKqHAI2HPQ2xwPKZGndt3K6MggYWHlz8zSWrOTW666nLtu/g7F2jA21UStFlIHiKBLkAt6HVI2cjfmaXda6NBddd3WMCWNEpJuzMqNa9FBFaE0SaeJyRIg1grSqItlHqfBTpwgBBdug0BIiRAxpAlhpYhJcB5RJkXYFEECQjC8dgStsz04CTZpuWkIFoK8K2WlcQNrDWk84+YCC01QHEIGAmwTywD5oTUURgzNPV8l7U7wi5B5ZHiMXbsmaLeXtt3PYuCUU07hHe+4mGu/czNX/vVfsXNHBHYct0eOcKUlP9nCq7eyqoawLiLb3wLph6c3sHY2Gy7nV+g2oIma0yTRI/xofXpxcciIbK3hv/7ri4wdccrPVHG1m/dyy9c+wLEnHM2pL30xOghQeUVhwJWQklZCsVZGahB0MVEXk7SwNqI2VkMqhTVduu02NlWoQhUVlrFpjInqmKiBCotY61wjhFCoUNGdazprHBGQtGMQEoEBa4jbbdJuB5QkjRQ2y4wn3ZgkjnDSL4G1Gmsl0XydaL4BQmceUQqLRGgQwmBTi9SlbPA32cVIkHRSrBFYU8WymqBs6c5/k7j9cDZu9LFDSkkuFxLHh4flz4HGccefyBVXfIhdu2b56Ec+wbb75zGmnBnYG3o1ZhdiWzPnBEAYejOnfJ3f1Zvdyu06rtI4ybzDNbnyEDqcxXlwHxwcMiLH8QS1fMr4qqf8FFVTStq9nVu+9TE2HbWS/HCZ6cndGBuCTWjM1LEmoRsnzO/eizERjbkOBAVkUHTlhNhmskSLEAWMsZnpOQhtkCHIsIAQoPKuLOU7l/LVAaQKEMISFDRCpSBSuq0Incuh8r7umKB0CsagC2V0rgjSZbcFFiElYSVPWKm45LgBa3WW5VZIXcyqXgs6dkQBBATFEaQsghgECuRrKwhKgs7slzDJgzyeXtggCBgdHaZUOvA16sMF69Zv4LIPfpTE5nnXuy7k+99/CKmOQMgq7vv30k6AKogivS62Lq7HuYM1KSZNs61RDLRQQQ6pXOgt9RBCRpnu++A4shwyIk/vuJVNRxxPEFQe9cTqtu4imbua0888mdqGoxCqw8jKElI2QSqCXEgcdylWQirjQ5huTLHi7YDiLDGVw6aSuNUlzAt0LkCYmKTbButDJZOFypqo0XbjRYQCoeg0GsRR4nZAJsLahCCvSToJ1gi69TpSKdJIZMowECrMPJVNtl/25R5HXFeFihDSlZ7SqI1J22ATp91O2pnDo8SNL5lHiH0ulKdEUDiS8ugYcfMqTPLYw+w0Tdm5aydzc7NPyhXZo1od5C/+4j1s2HAUn/rk33HnHQ9iTI6etW4J0Nk54RNaLdzxyzzCRISQJtPce3N7TW90awFrBGk8m7mNLD4OEZHbfPsr/8qaI56R1fMWwtKu38M3/+1KKJeRukh7ZgobC2wiQAgEliDQhIXQJbOUAqGxaQubppjI1XKxMSbqokMNwmKihM5sA53PZ2NEsndMu9i0S1AqYY3FpIak2yJXVGiZQGqyDHUeqTRBMSCabxCUAgQxKlBIrREYbNrBWoM1qSt3WYlJAJuQdJpZSOyu8EpLVKBQYUjSNVhbyVZoL17wyRiy+wLQQegyQku6rasw6WNMgAmI44TUGOxhaIxwIBEEARdeeBGrVh/Juy+6kG9/626iaJTe3GTv8+UUXu5797rsQiYGSXGrtDf/864jzndbiAJCzoKY42AYURwSIpt0N2PjIxSqP5nkSto7uOGrH+GZv/J0pCmANYTKulVSOxUONkUoQdSMMwEH6IJifnIOa0EEIUbmAY0uFJFBDps4fbQuFrNV0ulobRrhirgF3KwggbAJSacLViB00V0orHD1XJuAVYTlAqSGNBZYHDlsmmQhs3RXdKlBSJQO3c9luCBcy2SgpNQn60hdQUg/FcEfFl/79GUq71JSIFfZjNYx0ew3MckkP4/MWmm0DrFe2/AkRy6X581vfhvPfu4L+du//QjXXLOdOB7HHZduZriXozdc3Y+kaeEnRUIek3YyjYA/pm5sq5Aj2LgJyZQ7ZxYZh4TIt9/2DTZvOQH54218djcPXf9J1qwbozI6ii4oWvU23QSEyixXyMpASpIr51ChC4EmH5ygPFhC6gKCEIwh6bSwvjXRWoRW6ILLTJoocplqmUMIldV8DSZJQVnyAwWibkQSN5x2WriGc5Mat1aqHDIM0YVsb5RKkF5oAlhL2ulgTZIdbIOwBqyzj2F/qSokF2rqO7aRdL1I3yz4XryYP8WFfYXsOXmC4iZQBhPf7kQLPwNaa6SQdDqdJ3VovRBBEPCHf3gev3rWOXzoQ3/Jl/7fV+m0A/bXkEUHN+1xjl73k5fNJsTtWayxCOnnRnk5pwUiOvNN2o0dGLP4c6MOgSCkziPb7uW4s/7kR5ojkrjO3d/9R0YGc4wfc4xbGUWOUhWaMw0nwsAwNxtRKgUorRFKu4ZhDLWhCjIMcKtWSFguYdMYEoNVEhnkXMeScWSRgbfkMZhuh7hj0QXlOp4igwwVuYJ3iBBO9KE1cStBMI/OaUTomy8UQktsqjBJN+uIksjAzfmVOudC21Y7KysB5LPPkhIOVIkS6xJq+2uUnrzeYM7P8vXezBGgydeOoLH7dqyG4uAvoXSZR6sACCkoV4rkcgFP0lzXo0IpxateeS7Dg0N88hMfZXp6nrNf8WsMDi6cVLHQItfiQuqEoFCml+lOsuf7i7ChNDzGxM6HSdhNdWj4Ud79wOGgEzlq72T92pUoNbwgrLbcecvnodticN0JWGkwsUUGkrTTIV9SoAxYQXWwjBCSNGojlMCmBhEIdKkKNsbGCeiINHLCD6fMsZmIw4vefWLCvbcM8+RC61Zjcqgw2yNZQxqlpFGXoFxCiICwJGlO1VH5HAJBGhkQTqYppN//JqSxC7Gbs3OUBgdQ2qCCIOOYc6xwyXp3ha8Mjy74fN7RIlzws6zJArL7HsHLK8dpzmwDewTuxPrJw2qNzaZN9OPqH4eUihe/+GWsWrWW97//YmZm65x77tmMrxig1+bYpVdf9sIQT2DX4trbFrn+ZaEqWUTYoGdosEh/w6K98k/BxCP3oPSo0yv7EKXzfe679b/Z9PRN5Adz6DBFhQXSTtetZgTYVNFpZPXZtJuRDmQYYCILsoPQAhkEJO0OUrt2M0RC3GpijfsShdSu80hE2LSDibpYDCZxWeY0jrFE+0sMQiuCUgEhDK3JCUwaURouOTEKEhVo0k6buDHrklxpgjVOtimVYWC0ks0u0shAu4uNFxqQsN9z2aZgE+YmJkhiL1DoNa+778qvxL626acMDpAvDTPz0NeI25M82iZYa00Q5LMS3CId3MMcJ530VN70pj/j29/+Lh+58rPs3lXC9TV75xivsfYjXb03tncm9S6dvVV75bqVVIf8+NbFw0EmcsID993N6s0n7Le4TZNJor23cfZv/wqVWoGJ3btJYtfvaY1A6ACVC9i9Yw4lY0wUYdHoQskFMLFEhhohFNYITJoggxxCKWySYG3qJJLenifrZEk7XZDuQiCyq6tQCp0XYAzIHDIoIXWISQwWRXG05przs5WwOz+PTVPCcoWwUgZrsQbi+RZSJiASbJKStNpur5y41dvtxRNMLEgjiUljTNrEIqmOj6O1xFrlVGD7ZwL7/VeJ3uxg31NdQIXjVFcVkOrOzPr1JyGVIIq7/T3yz8DTnnYKV175Ie7f/gAf+cgVPPRQB2PGcYT23703JCCb/Oi3QX4SRpT9TAMlTDqDNYtrZn9QiWySGVrTs4TBGvxsnXtu+zJ33307Jl8CFCtWrUBK5+IQFGUmjRTUhooEpTIyGEHIHEm7TdqNwLSImnG24qYIJUnbrcwUQGNT65Q7NhuY7ZiIDPPs33uKKAt5nW+XkE7FZU2ENd39emyQqDDn9t4iIjdQQWidSfj2a0kIqzlULkRYaLe6zoVTCpd8W0giKbPtQxdrPDG9jYwP/xfOBTZg6+5GQi/8HgEqBMVhhHwE7G4eTYiwYnyUiYk9dDpPPpnm48GmI47mo3/zcRoNw9vf9ja+f+uDWDuOOyZeNOIbK4LM6M+rv+ouhyks3hg/jfZh0ikWUxxyUIncnd9DgkbnB5wHVnoX11/7nxx/6rPQOssy206W6EqcfpkuU7umaU3Xqc+0qM9NYwkJiiVULk8ap0gtiGbrpO0OoAgHqq6RIZCuvitVRlRHaovJWtbAh6pSq173lUiwJsJEMSY2ON8tkzl/pKhAZ+Uo/5cJonodkyaZjFOQdmPSOEZZQ3u2yfwDe1BaORWbTUkj18CetDvogs++B9Qnp0mTFkJ0FviA+bAudluS/XatXis8jU9+QYW4fRsm/cn65b5906TJ8nDRXGxUKgO866JLGBlbz19eeik333Qn1g7iRCEFXHSn6JG6N7Fi/7HCRVRBQaICr9xbHBxEhxDL7Tf/K2s3PZWh0aNApDR3fJnjj11HcSSPEAapAxCKZr2JUilRnJK2EgqlPKWRYQKt0XRRoUAIgbUpMgxRWqMLBYRy+1whXLN/e66BDhQCm0nqElce2t8uaZyjR9bOZuIEJHTrHXSYx9rUmQJI21PypJErf0lXZrImBpOSphYVhpgkRcpgv+WPygcEYUBYqzkTAzQIlx231qJCjZDFrP4ckyuV3WNGZglQnYkPvFWNN19YaKQO7qQaRshBEHtcX60YzC4GDrf94BYGB6ts3nwU+XyBPn428vkCz3jGM2k1m3z2s/9ErbaKDRuORUo/ksbNazYpmdeizc4tf1ycoMea2Hm/MYSQi2OZexBX5CbNuUlGR9YghGTPIzey7d5t5IYHF2ic3clcqkiEieg2EsJCDp0PMZ0WNo1QofZLqct6pwlJu0nSrrsabxpjkhiUoDiQI242adVdM33ajbGpwCZR1qwvwUr3M+tW6qQdk6sUEcpkibMZbNzCWuOIrgrZwXK1Qif8kKSxZX6ijlASIY3raRXu7xJBkV792yCEojXXBasQ5LEmpTm5jzTxK63M/sSEtNvJLjZ5sBprG1kjvBcmOLWRWxGaQAOpBsHehRPt91blWm2QZrP5pOlJPhCoVmv8z9e9gVec8yo+8cm/4T+/+g3i2O+X3TkrVRGpilnro0+IFXAX3VF3b+bAeBnogcfBI3Iyxw/v2U6+tg5h9/LNL3yU4ZFxgkIJi2V2Zprp3ZOYxJA0O6ByDAxqhHZJK6lTdN51JkX1eZJ2B4uktW8OqUDlXVJKCO87nZImAl3MUahUETJAhTlHJBWACUg7EcgEE0dgU9rzHWQYghBYY0mjLjqvEYFEiNQlvroRSavlVmKR7WOFpVirMjBaQ2rn1ClkiAoLJK0OcbOdNVFUcYRMKA0OYG3smjikoTRWc+Up768tcgilkcpkpTNn4yuERYgWvbKIlwfOZz/LZSb4KdjtLGyly+fyJCbBLCN/64MBrTVnnXU2LzrzLC59/wf4p89+lXZ7Lc7M3lcQvPOKz1x7JZ4bZTM/sZfO/BSL5RxykOrIlvrMTopFV4vd/fA1nPOrp6NXr4Z0HqEVg8M1EILZfXUGhipIAnZs38mKlWPoQpi5LbiMc1DMueYDFKUVKyBTfOmcdLkrAUkncXVkoXGN/B10PgdpilUBQipk4EilQvd75aEKNoW02yFudMgNlrIQ2WJMjNAWGWhM7JNPPqRSCDogoFtvExSycMompN2YXM2FsdZkB1uCEAlShsTtJjpfyTTnzgwujlK0jrLP6PdePpki6Ek3vSQwpFfPrABdpK6QJg8h2YyQrld77bp1fO1r/0mz0XQLRR+PGVoH/M65v0+5OMAVV1xOo9Hg3HN/k8qA75ryA+Va9LY7rgQqZJkgLCFJ3PZuEYYSHqQV2RKoOZ522jOQqsu2225AjtWQqo0INHHH2dS2ZxsMDJVdiCJj1h6xiqDoPZEg6cQuMLGJcwfJkkBp1oyQdtukHUvS6qBCpys2SUrcaoPKEUWAcj7UrsspJu0m2T7UfU6hBCY15KphtrILt8JqRTTfxqYpUkpMNyZpxa7e3GkRNZwYIF+pYqMYpZ3CJz9UQyovpk8R0rDn4QniSIJICfLFzKoX4lZEtz6DTbyoQBO3WpjUXzgC3LU3ppdQ8SuuolfTrAMBUoVYszvrpoLR0VGwoi8KeQL4jd94JR/84JVcd+01fPKTn2ZqqoArTUX0ZjH7C24Jdxzz5IdXEZQjnDjkwOMgETnh5muvoVobJ52+hcFqgBQCofIIBFK4Gm6hOoDpuFU3anUw1pLGMWncxEQdGnunMd0UEZRdR1PiWgtVJjvUhQK6YNFFt6c23RgEqFChbEIgLNMT0yTdCGSOtCtQOdcJZZOEuNUmmpsjyOedZls4MgmpaE81UbkcSAtSueJDPkDqAJUvEpYLJN2YOOqiinmwhiCfc9ZDQrosuZQgAkbHaygZZdps6UQkNkbnc4SVMmExzKxaW+gcWaeWryl7UrvyXW/ImPeScuE1lMBAt34HJqkDlok9e0BY5ILOrz4eP57+9FP50/PfytVXf5fPfuafmZkp4r5zbz7gs9otHHG7SFXAJHOYdHF01weJyHOYXMrIulVs/+GNbN5yLMguaWJI0zwqX0EA89NNGvNdrIUgP4ZJFDIYYG56HgLNwKpRJ2awEZaA1ly8v9so7TqvaT9NQeYCRCBcc0NQQOZzyJxgeKyGDvNOm5N3OwubRlgsKsyhS6UsmWaxJnYD2RoR+VrFTYc0kLQbyCAAIZ2wI7WYFCf06EYk7YRuJIhaXfd44h63qcIaic5VnDJMuFZFqfNg7H5nECcmcDVioYqZ8YKfO5TVw/eLQ3y5w/+Oy8JbUwQ5SFAQCOmUYuPjK4ljQ5r298hPBEIITj3tdC67/HK2bn2QSy5+Dz+8t4O1m3F7Fp949G2oGqEUcWuatOMnQh5YHBQix80pFE68UaGLMR3nlEGHtNNl623bSLpODlkdHUIKDbZB1JhneucuaqMVpJDIICAoZiGvNRSHi9lqlUPlAqKGD2kkqCy5JSwmiqjv2udCVJllvUWO/aNOpXalIZO4ljMTu7ZE43TOuVIxK40ZZBgQVMpun2ONcxGR2mXCY+NqwvkSSljCvMo+nyHppKTtFjZJnUSTLIGVpSmE0ghVwJHRyzN9Hdl3THmtr98zexL7iRnl3uPWTR6UYQHYhrVNSqUSExO76HTaLIkBI4c5Nm48kndd9F4aLckl730/t9/+EL1BblXcyjyA7ynPlSU6f9hmrS3dzj7KWhPP70RWS+QGV6OKFXSgCEo5VqwfI2lHlCoVEJbW5BzdeoN8Nc/geI2kmboTz2bKrMxCR1hXbprbtxtjFVIr4kbLPS4scaNJd3YeoQIGVo5DajDGTSWM5qexpu1qxC7uJY1T5/ChNdF8FyEDhMxh0giTxC4ETi0msVgbEjWSrI3NhfdBpYwKQaoIXQhBugy61K4bi0AhdGaeb8laGrMRJCbF2i5C5hZ0J3XohWledODdHKE3mwh6K3YHaGVjcQKkKiNEHYiRUrBu7RoKhfyT1u7nQGNkZIxLLnkvQ0OrePeF7+D672zD2tX0utWauGQYtLsQJTMshu76IBBZMPHQvWw4ciXz229hZNUKbOpm0z58/15M1KE8UCYWbpRlY18dXdDkakMuFLUBQaVI3GgQdyJa9TjTPseuDJxYBoZLCBujC3mCihuHYq0iKA+Qq5UQymaraQ4pQ4QQSGX3h+OeJEHJr/Ay64ByLWxO9YXbG9sUoRKEbWYN4yaTg7o2SchhIrequnqzyzpb4/fyxjVI4P27Minffm2uF+S7OnVPkO/J6+1X/Wqs6VnqLiS7J2qRbn2OtLOLocEyP7j9dmZmZvsr8gHE4OAQF198Mc967ov45Kc+xY3fuzczJfBGEHkgpFguEYbx/uTjgcRBILJhILSU4ha1wRK67E7QqBWxZt2qTNUUEKouCE2plifpdjFxF6kV1rgkT1jJEeQDCuWMVFkI7RomMhsWm0dgnRvI/nAzByinubZOcWPiBBGEqHwJm2TiDaxrbIidNFTnc1k22Vu5hFmHkiOh+P/svXmY3Vd93/8653yXu83cWSRLlizLNpLxFrwQDJjFJI5tbNYEDCEB2iRA0vSXlrR92j6/0vyykQWS4NAGGgqEEJo0TdI2JUkppCEbS2uM2b2AbdmSrGWk2e76Xc45vz8+58y9I0SCjSQb2+d57iPNnTt37tzv/ZzzWd6L1iTNJt6DqxyeElFfHINScp8P6CsvMFBbFBTrlWhkowQtFnShlNFTEj+x5p2G/RVMsLrxeyC7+zqTwIWJLJCUHUmjS9U/QKJqzj1nJ81m49Rd3icXAO32DP/kJ/4ZVz39WfzSL/0i//WPPsVotBvYwYZCp28yEVn8xms4HLC2vsK4GH3TM/8zMEd2HDn6EJ3tULfaZAYS7TA0wtinolgtxRMJhzaG5oK4wys8Sd6gLsaYrIlSFcrIDM5VJdWoJm13UBqqfp90RihmIlIvs2XR1soD91e6vTrRG0GmdA3O45UwqFQaO8IxNRoCUgOrTATkvVV4CmFZKYe34jPltZF0XIGzErzFal9OYp2Fx1e4okA1dSBzlKgkQvvifDGeltMd6RjU8TFRZCCZ+p6buk18fJNGm97RB8jyi1k6tkJZRqXIJ9epXEmS8KY3/ThZ1uA33nkr66urvOo1r6DdLoAGymwDekFI8evXYNDn37/7N3j/+97H3j178d6jDGzbtpWbXngT13/PC+nOntxJ84wEcqNZoUyT9lmzoassCKW6KBitD2m0Ozhl0NZTDnpkMy1s4Tl6ZJmzts2Kt3HQii77BUkjRemUtLMVpUagCrJuUwgOSROVyIzV1UUAieiN2lokdoykxbYGIwypSOhXU66MG6APV6HSFFuUmKxGKUPR85isxORKmE2lk4aZUQF9BVhH1p2hGkpnPEsBo0JAK1QiKbC3Fq+9pN0brKeYXsdUWjIL2c2bSLoWReLi46OiRSRZQGycze2YBZ2Qnl4/9Sf80lrzwz/8BnbsOJs//P33MxoOeMWrXsS27U1pvNZ9vBpzIibk4EMHePuvvp1eb53f+93f48orrkIpxf/9v/+HX7v1V/jd3/09dmzfxTXXPOfkv/e0/2VuQN3rUR4dorIt6KSF1rl0hm1JZ74hSC0c3kE228GVirpusf3cSzB51nwMiQAAIABJREFUU2xIlShZpo0GKvKK1Qqosah4FGXQy4rEe6TTHLrGogZPSI8rlBausytrlPEoJ/d7LyQIPJTDEWVviLdKnp+wKSiHybywtWqPdzkma4iGHwV4Lc2mJEUphUlLslYUDtSgcqqRDwLokciRMgnWWP9G7HXscsfxUky33NTPTANGxF1wUypuSlBDmk1FWYyw9kkW1OlcN954Ez/yxjfzkY/+Nb/2K+/hwX0i21QXa7g6ejTLGgwG/NYH38tnbv80L7rpRVxx+ZUbzcirr34mP/szb+Xs7TvYv3//N+SSn/ZALst1yqLm0GiMq5ykxIMBg9U+aTOReax31EUfVwqEUSWaLC9QrKCUw5ZjvNfhjShwtgadoLykrtoYTNamf3w92IZa6lGB915ojIGR4usarxK881T9MbYsUKmiHoypi0JAXNrhbImnJm0Y0k4bnRpMoyU/MxoxXl1Hp4ZsdoZibBkeO4q3FfWwCAQHoTIWq2s4W4nbRajRpe52+GocyA8GX4cNhILN6XVMkWECwVTETjcb5mExaKMhmUHQRhlRfkYpoYYeX+6zuraOc08G8ulcSmmefc3z+Lm3/iL33r+fD3zggxw+VJDks8G9c7K+8KUvMBj0uenGF3LJJZei9eaw3LtnLzt3nBOy2ZM3Kc9As6uiOddk7zMvQic1Ks1JO7O057rYoqIeD3F1SdZuo7NcVDTQoBOKwRBPgsmDv3DAWZssYKh1Tj7XBmq8L2h18qAKokiaedjVArOprkOKbfEeklaGSTO0SkjaTTF4cxWjfiE1L3UoTx2jY+sCDPEelTXJuzMorXC1pTGT0phrorTHBHEEaao58u4s2ojrhE4SyvWCYnWAt5XU9qoZTm8VsvnIb43gjngqT1dA0XQsBvO0qVgkUdREHyJxehSLE9Ds2bOLVit/UhH3DK3LL7+KX/ylX2Hfgwd5560f5MH9Gm1aTDZo+Nu/+Rs+/7nP0mw2aLW+3sFRKcW//Ff/kltueSXGnDxkz0wgu0DNS0BsVkAlKUmzQT0sZQ6jXCDXO5SuGC8fx1Z1AGkoeQxjUJq6qMJpJo0epSWwTaOBSZshTfWTm1dgtMyIdbpBdPA+6Fd5j68c3iqcAxJJVWXzq2gudtBG0d0yhzEGXzqK1SG2lNdu8mbQArNy4nqPR4VGcg1a/J7yuQalc9IjSBT4oJ8cSOq2krm0qJnEEzk236IV64gJFDDqR9Un3GJTbPo5ukBCuz0jMktPRvIZW3v3PpW3/vwv0kjhP/77D3DHZ+6hLCeB3Jpp8bSnXcH2bed8w+uSmBRjYlPzJN8/Da970zpw/4Ps+8oDbL3sfFLv8OUq5WBMY74dYJIZKm3h6xK0o+qVZN0OrbMWpwAgJcOVHmmekrSEn1wPBugclLaUK310npC02qGLbIX7qzrAIMyG481tGKorrbBFgR1XpJ0cV1laMzlKaVxR4pwVfLVyoZ4VW1WdpTRSQ1XEdDbqNymBbVYjdJIE4Xu1sVGhMmYWWqANrixQ6eZRmtAY42hiMoOedK/jqRsDuDH1/4LNJ3Psak9b1jiUVuzfv4/LLruCPI+z6SfX37e++tW7OXbsGCZJcM5hrWVlZZWDDx1kMOpRu4q7v3IPy8vHmZudYXlljV6vT7/fZ2lpiXa7w9OvuoTeynE+9uef4KyzL2LnznMAWF9dZ+noUYrikbs3nvZA3n3eVrZcfRlZLsoc1tc05psopXAVYqLmSmpfY1fHmNwIhNEFBJcCVEpzti3B4CxeSdBGnm6+OCu/zCMntY7OiTKbFjeJDIWiGhUkDS2Ce15h8hyTC6DC6EpOaVuiMo0fTtLXTRYzTk7YtBmI5N4E+qTMh3XWpB5bkoaX3zmsRHYorfFWgS1RaTNQLGMjK6bRMfAME72u+HWcMUf3ymhrkjBJy/XUrWZiOSPiA0Yp2s1ZzGmg0p2JZW2Nx2OtZTgcyhzfOvr9/oZggg/v45HDh9l/YD9lWaKUYmnpKMePH6cqa5wXP6yyLHnwwX2srCyTJClpkvDg/v0MhwO8gzTN6M7NUlU1JjHMdbukaUqSCNR3cXGR77j8MmY6szztsivIMxmjWuuY7c4yN9dl69atLC4u8l//4IMcO+K49tor2bp1fuNvuv66Gzh0aD9//OE/Zteu8zn33N0n/dsHwwGJSU66AZ/2QB4Mj4XgaxB8J7GjEtNsoJOc4fEVkszgtSZfmA0HmJhMVwMxM0taBJaQQxkl3WWiZ7HUkL4cYesalWToVDrckYQgs2fRY0ka4Osa5xw6z1HYgKn2QTQtbAZkpO34hsVO4QSlhZEmlUpEzaPsDwUBZhQ6mSVtGfACkDcZBPc2bFWSNKN3UGQvTbKFSRCKdclmEb5YL0cqYzylYwDHjnUE67sTHpeyZctZrKwcpygLOpwe2ZmTrV5vnf6gT6/Xo65rxuMx4/GI8XgsRnkeimJMbSustRw+dIilpSWyLGX//v2sra2xurbCsWPLlKU8pq5rUJClGVu2nEWaiMcXXqG1CVayKcYY8kZGlqVs27ad+YV5nnrRhZy17Szwijxr0mo2yfMcYwwmScizjDTLmOl0yLJpI/SHv6qq4j3veRfrqwf5hz/8Ci592mVMV7WXX345Z//vnXztvrsZF32qqvo6Q/o777qT3/rA+3n+c5/Pi1/8kq/7Hac9kO+95yCLrqDTkDdBpwmurKjWhqTdhLwtCpMqM9KhHlvQJTpVZJ1W0K+Wk0gbRdkfkrZn8VZYRzrzYsWiFXjQqQRjPeqLiLzSob4WTWmFQqXhQTEt9TbUsSCSPAm4euPHyl5B1umgdECHeeEvq2QyKkrbbYrVAUop0vYIV9foTGSAxAFDTtekOQMqMpimm1MwgVZGIb148sa5cDzBo0B9hPpFK5l04/VMjMeiL1EDaLNr9yUM+71v6trVdUlVV3zxi1+iLAuOHz9Or9dnZnaGlZUV7r//Po4cOUyv12Pp6DHW1tbwePI8Yzga8tCBQ8zNdVk+vkq/L37TEam0Zcsi8/PzzM916Xa7bNl6Fu1WZ6NjaxLN3NwsF196Cc99/vO44Lw9zM3Nb+roxv9rrcmy7Ou6vY8VPPkHP/jb3H33F3nta3+ESy4F7x5C6UWiQESapnz/q3+QB/bdz9vf/jYSk3PjDTdtvP7DRw7xvve/l/POO5/nPu95J/0dyj9M0O2BQw/y3ve8l8FYRkXLK8v01/t0Z2c4dOgwl17yHbzkpS/l6VdeRZ43eODLv49auoOzr7iSdCaMYJIcbM1obZ3mXFdesPLSyBqMMY0cZ500kIykrG5conKNrxGpHuTx3tYyJjZJwIxs/nNcWaGSFF87UOL/tHGBvcNZSzkoSDODbuQolTDuj0jwmJYJKLFw0nkZ7dTDITpNUGmOSKE68KFhNRjhnCJpNVBGUvBJShzd7eMGEL9O2RygUTSgg7Mz4A3WVlgr9EjvNXVlcd5RV+IKqNSQ0XBEb63HseOr1LXl6NEjlNWY0bDPeFQyHlfcd9/d6LRJ3ujSHwxZOrbM+nqPXn9AYjQrK2vUdU2WSSmijSLLctrtNrOzszRbDebnF5ib63L2th3k+YSAkeYJMzNtkiRhdrbLrl27yLKMHWfvoNOZRasz0Ft9DC3nHP/lv/xn/vAPfpfXvOY1vPglTyfP7wXfAp4GarONzAMPPMD7f+t93PG52zl393ls37ado0tL3H3X3Xzvy1/O97/6NczNnRzZ9bADeWV1mds/cxv/38+/hYWtC7zs5ldyyytvwVnH0tISH/rQ7/Ce9/4mN7/oRn71l99JMryDY3f+Kec+91no3FIPxug8Q5skwJZrUGZjBOMqi0rEU8kVY1SWopSmHhWYRhY+NFL/VcMRSaMpWGs18dyZrJAK1wV1ZVFaodNMkFdefJBtBUJwCOMq3UKpUgAkQd1h44T0OYIMy0JQL4AaIYHZxVlpLvXXlzE6oao8670+znmqumI4LCnKHr3egNo2scUax44+QF05Gs057n/ga+R5k6IY46zn2LGHuO9rd6H9mENLFaPCMhqPSNIMWwzJGwnt9iyz7ZaMJUxGmszgdcLinCFJDFmm6M4t0m7PMDM7S10XHFvuc+MLX85Z23fgnUAL87xBu9MmyzLyPCfPGl93wj25Ht768z//CO99z7/jla98JS/73mtI0yH4g3ifgroCpbad9OeOHT/GXXfdibOeufk5zjnnHObn50MpefL1sAM5rle95iWs94d86Lf/M4vzWzalMe/7rffxO//pvVy050Le9rNvQtWfpbN9K/2lZTpbF6lHY0wjw1tPPRqSzbSoBo6kZcTYzdfU/THJjMxgvZNucJwLQ9SYbgpVUMEE/GARXm4HGIP1oObxNEA1BdLJHBOTtBisCdSH6Q9KsqzJ/v2H6Q/WGQxGjMcDVpePs//eO2nPLDBYO0qjmfCpz3yVfq8HRnPP3V9DYWl3Mu6/b5VB4XAe5tsWpeH4mkcbx7bFJt35RYrxiLnZeXbs2IFzsHNrA92cZW5unoXFefK8Is/m2LvnUs7ZsQ0TlEbaC+eRpE2UW0UnMxjTQOsKpTxaNyRDULH2hgnBXSiPH/+L27j99i/w/a95Heecs+uRXPon1zex9u9/gJ9/68/z3Od8J7fcciONxgrOLVEPHkSn55A0rgYWTtnve8Q18mc/+0We87xrTiob8+pXvYoP/9nv89V7P8VDx76HCy86l3r1GCqdAZ+RtjqSAhuPyWZYXanpdpsoLR0/VId0NiM6Kypt8C6TbmUNZano9yHLWtR1zWjkGQ0OYbIFlCtZOXaY0egYh5eO0u+vMRz2wResLh/h+FqT/fvu4dixJWZmZxkOhxw6dJCDB47xlL3b2bfvOMZkaKVI05TubELtDKXN2LG9zexMQp63SbTm7G072bFjFwuL8zzr2d/NWVtm6XZzvG+xY8d2nnLe2VjvyJsptU3pLmwjSWIDK0EIGSUTQYAi3Cd+TmLnaZDNpkA2noNMutQDNut3TQsSlEwaXRFA4snSGqOTv3N3f3J9a+uBB+7n37zlX3PRRedxw43PptGQzVTrLtnMAnJNTq3rxCMOZK00n73j0wFxtXl12jNkeoaLL7qKP/kff8Y/3fMG0rmrSEgZDceUVUGvt06vN2J5uUeadBiPS6q6oBw/yHC0zoEDYlq+vrbCgf334v2IpSN9Wi3FffuOcuihI6R5m+GowNYj5hd3MBz0aOQZiwtbyI2h0eqgdYO04WnkDRbmE5qtlGc96yq2bd/Otq1bOLa8Qre7yPYd5zMzY7B1yezsFkxS0WzmNBoJnoQ0S1GqQDYX6apPyAwlVMdA1WAqUF3wY7D3gtFMnCARcAqZPDbYjsjzxcsRG18RNx3n1LGk2NzNnHSq43NNB3BMtib85bPO2sao+DzVk9rWp2UtLR3h1l97Kxfu2cU/eP3r2HaWAo4i103IOz5UgaeyZfCIA3m226Qz16IYj+Ak1KpLLt1LdzZH2Ye4++6aH3rd1Rw52sdjSTPD4aMl1lrmOhbrUua6LazzNJpN9u7Zi7OWxcUFdmzrcMUVl9NotkgTzfnnX0zeaLK40GU4GjI/N0N34QKyXDHuL5E1zyHRqyhTYUwW+L5DuUUHSLcunWOVghvj7Ah0PzSuKsq1/WSzzSCAF9lQJXVRYtIMpWPdHGCcKKzz6DQNG9tRvC2pxmMheRiBhkbCxebTMzoTxMCLTbC44mYRd/EIAInoLTP1c3HMNB3AsbEmX2sNVTnC+78ba72yusLBgwc5Z+dOZme7T9bL38QajUb8wi/8AuPC8spbXs+uXXNIBhXHVynVsKYqB2QtS3IK8TiPOJCzpqKRtRkXJ1c7WF/r8eADX+YFz72UxVnN617/Wi644Cns2n0+nc4snXabdiuhNbOVeryPqp6hNXMOsCaAjCSXppNfBwpQDQF4+BGoYRj4duR7fBIw5IsA+8IrsNSjdUxDyymoosWLl1guymCu1hDnxI3OMuRz4WQLbKl6XGCylCTPBWnmRiIpqwJQxOvQoY7BJBTFrJMItts6gYgqRz2ymDwCTKK5nJ7E2kZwwiS4YwOvwQRjfbLLp5mI80VhvmhfIptZd2YXVVWdVIBveXmZd9z6q/zpn/4Zey/cy56nPIXbb78dgNe/7vXcfPOL6HbnHjNjncfSKoqCW299G94N+fEf/zEuuaSLBHGc8QsFNW03wggy+zuf7+GuRxzIC91tHDt+nOFgKAToqYtb1zUPPriPQ4fu5pYXX8FCZ5Wf+MmXotwQj6McHiXrIARrX6KVo9HQ+PoOsBbViIylHFsVMhvGTwVECn6AqypQTmiISm2MgCJKSptwECoLXuG1whUVKgOd63D/AFf7QDkMaY8X9wicMI6SLA+BpoIYgAjzKa2xRQhelSB4dieAER2ac0qB9viqxKMxjRSlQnDrqKdtmAA5dFAZiWID8TJFEIhGiBBR72v6hI6b6qQmnhYYwFfMzHVYWjpGccIGvLR0iJ/8yTezZ89ePvw/PsyOHTs3rulH/tf/5C3/9i0Mhn1e/arXMDvbfaQfm8flquqK9/zHd/PFL97BG9/4Y1xy6VbgIeQahElHxAz4cLBsYPFPzXrE+dKdX/kazbxzUn7kPffcRW+wTLe7k2dccS2HvvxZvD2MrdZw5TJ2sES5tiTUPZViGgqdeJSrUbkJf5+Q6nUa0kRng6CcBKp3Y5SxuLqUFFmleDfGuxHeFiIGgJfutjKCKqtLdMOgwhvpSoH76USjwoc9KnTiAl7bgKtLbFngfYEdj0A5dPhekoPGotWI6OKIUuJo4a38fu9RJpUZtvfgDUq3UKgNTeuJSmY55RQ5nTrH9FvmxpNLN52WT4knbGJOyXN4C1mek2bZpo23qkp++Zd/lgf338/3ft8rNwUxwI03vJAf+qHX8eE//UM++am/YTR65Jjgx+P67Q98gD//2P/i9a//Ea699mqMiaQWmKiditpMsb5MXVan3G3iEQfyzFzGU/aet+mCW2v51Kc+yev/4etZWy1461t/lflul5m8icKzdugIwyPLNBdy8pkWWI2vCuyoxtsEa4V0710Tb1Ox18CisDjn8T4wpbychjiHaTTkQ+9qYoNIxlUZjgSd5eAcJEZOXVT4VwcutMeThI1AdKerkYjH4xXepeg0x2QpOIUJOl0+osCw6AzqosRbJyjUgPpSyoRNJkSmMtja4pzF1eJdpYLzhQRdaIhsECJiY+tkgRpT7Niljqiu+AGJ6VwD6IAP/sw2Yeno0ia5n3vvvRtjFNdffyNbtmz9utRZKcVNN93Mzh07+PSn/4rjy0uP9GPzuFt/+Vcf59Of/ive9KYf4frrr0Lr/YhqZmxMRnP0WaCDyTropMukbj4162EHssfz5Tu/RG+1oK4tv/Krb+OjH/0ov/O7v80Pvvb7+f7XvIr5xTk+9J/+M5c/7SqsdULydzCzZY7O7u1gMjxGXBOThLI3BmcFk+wLAVmoknptjPcJqARtUup+Ja6IhQjKqzQheghXgwF1P7jdKUW5tkaxNgSnRM86qGV6ayl7vSA/K80gOcFrlBK71KzTCv/XuGqIRwmzSSconYptqpLNQILakzY0thjjKosdlcHQvA7URtERUwpMljFaGzM8uibqItYG0YQoqBe1rqcbVjDpRLup++KHZZogsbm5FdNu7yyoFqgMk2w+kT/3+c9x91fvZnHLAo3GyTswndYsZen51Kc/zcry8sP92Dwu1+2338b73/cfuPnmG7jxxudgzDKTRmacMoC4TQyAderxOq489RODh10jr66u8q7/8G5uuP5FzMy0mZvvsv/AA1x08UX80tt+mS3zW2k0mhgjUEibpHzungd4/tMuJO+meCuKkaPjq2TtJmAweSZYa4RWqBsZo/Uhxnp8PQ4pbkY9KEjabXSjwUTRUrq06UybaliIJoFJyVoNSBOUcphMCavJedBaNKaxolFta3QmqC5vo95wCFpfiyyu0uIWUQaNLmPCxoD8fi8QU6MqVKMxwWwHW5ditU8600Ib4Tm3F2YQnG28oH7jsXKLbn7TZct0Zzo+Pna81dT3gjTvRo0sHr5Ku2CPk9Dv9zdJ/dR1xfnnn8fC/IIAT06y2p0Ou3adzVfu/DxFeerlXL/d1ic+8de89a0/w0033cB1111FkjzARJ0lroiNjxzxOUzSRZkAQDqF62E/2/zcPL/x67/xTT/eZ022LnRJ8ya4mlFvRHO2QXOxi8KwtlyQoyh7Q9JOW7q/ztFspaANo7UBzbk2o8MrZHNtbDFGZwLptOM6wDajekh4g7zDGz+VshLSZLGQiR1pZRTGSEpaj4ugX61Be6jH+CQjPoXSFtNMcUWN1okg0DAyW/Y1XilsrTDOi4CBEvF8FOTdKRsa6+T5vcWWDpNlkw72Ju5xJFREEsREf3ty34mPj13ryJaakgNSI3QyAxieeuFejPFYW2OMNBZXVtd46NBBim+gsFmVNeu9Ps1miyQ5cZb9xFr377uP9773N3nWs57J933fS+l2FZOgjSO/2IyMOAEPjFhfPkbe2b5BIjpV67QPBxOT0Wi2KI+sojy059pok9I73sdVFe22oQ4EJHwtEGc8GIPS0Jpr48oK3TAiHtBMQ2MqyvlEVFM8YcTYTWpPQn0qcjquLvCuL80lH3ZKLyMgkwTJHS01uUrTICekcfUoKHcodKON0jGdragGUjZ4pzHthpihh+ZVYC4CSmpx68L8VqN0RtJohKZHTIljeh2piVGLa3oMFebXm07zqKSpmLCeNv/MeHkJW7TBJ+w/cIi6nnTFn/uc55GYnAceeIDx+OSNrKoq0Wh27thNs9E86WOeCOv48aO8/W0/z8VP3cmPvukH2blTAnQy648BHAkxcZOWLGl+Z4f2XPuUv67THsjGbOHw0nFUDcV6hVcefM3s4iw6S0lykWgVg/JmOLhqUJ5irY8tRfEym5uNirjBG1lSy2J9KMwmsW3AlRZfx1OYkAJr8JA0DFU/pIUKbOnwYURUrI/DjDllw8AcL5zjVOpGsa0psGPR8AJI203xMU4UWvsg1Rt+r9f4yokFbO2w4yrUyuGEjRuKjxjxaQWQmFbHgIwC9dFIOypnRoqimrpNS/6I8dtw1Mf5LqiUvRc+BZTHBn74rl3n02p0WF1ZYXV1dYOgP72++JXP86Uv3ckb3/CP2LNn77f2ofg2XYNBn5/6qZ8iMfDy73sF27Y3gWWkuRV9kePcPq7YzxgBA5TJQHc41an16Q/kVHPZd+xheOgA+dwCrtJY6/HOiWULjqydk7YbeDemHtRgGiiVkM90xLVQvGFCcAAYmfNSkc82QGs84muMToXsT5jhxlmsklQ077bw1uKskdoY8F4HU/O4ewZIpS3DoabCPuFAKeE566kTTwVtakzYBGJAyT9agy1rTCMF6/Dj0AxTuQBdNsTp44cgwDg3da3TqcdEbvK091PcDOKHKD5OgrXVmseYOSBh9+7dFEVBXQneV2vNT//0LzAcVrzjHW/ny1/+IlX4nrWWO+/8Cj/z0z/H1Vc/hwv3XhS0o55Yq9fr8ba3/RytpuPHf/yfcOGFu4AlJpjpeOq2mVBR44Yaa2eHq+vA+ju1qfUZuCIZw9LTGo6h0ihbUzuLngmG42WNSoT0j1WYRoKKH1CtqQdDklYuda9EncxocUJ3RG0AL2ztsL0hppVimrnMaV0AjSgRCBBdL4UdjqTibOehlobpBpMc5GKH6awYnSstr7kYjOSsa2YBJxKiFck2NtIGXEjpPbqRiWCBEmN1NrrG0x7HccWUWE29Jj31/2lLmUmaP3lcXI7o0Zu0tqFMC1CsrB7DuXpT53phYZF3v+s9/M7vfIAf/dEf5ewdZ3Pe+edx//3301vv8ZpX/wC33HILi4ubObRPhFXXFX/4Rx9iODjEa37gR3jqRbuBI0yu3TTSzjEhuMTRIMAIW65Tj2tMrtCnOPLOQCAnNFvzVIeP48s+1tXiZuob0ijSwY2w9pRlQZJnVGVFc7aNHY0wWYKvLFQOEo9KM5H8yZIIttpYxhj0bAsRupPmktIaX8moSQPYEm8t1bgkaTcnjW+tUM6F2FEB2WXxOipRJOF1VqRZTj0a46uaol+Szc2hjRM/ZTy+qqR/nGaiEJIiGxA11bhCG5GiATYE+ySo4ujIQRThl7+MScocU+r4x093r6up+yfZRf/IERrdy4iwwNnZeZaWjlMUBY2penfLlq28+c3/gje+8R9tnMhKKVqtJmm6eWT1RFkex7v+wzv5q7/8X/zE//NPueKK3Sh1LzJSmm5IKiR9jtODCMSJfQ2RlEqb29HpycUBvpV1BgLZ0NlxAXZ9P70D++js3Y0f1dAcolKo10vqskYZRd7pyGinrvF1AcqLF1OtoJ0HaKNFpUmoPy0YJ+CN2kGCjHiUDigrK2mvr1BZRpI2JT3W0NgS9MGsBJQCxv0BSZKKoVoAdCjMhsmbUhplUty4EAy3s6QNDW6MVxHiqVBJFpBd8pjYnANNkmYQdL6I2cRGMMZXEnf12O2cXjFoI+IreifH78WdKSVSIpsLDbTZJtBWIDUNSR5OwkRXStHpdL7Fa/74WM45Pvzh/85tn/w4//jH/jEveMGlSDot9NoJqMMz4X2nCN89wmelpPNugFJjKaVOMRgEzkCNDFC4Jslsi1YjQyca087pLa3jnTgh5vNt0k5roznlKgsqwaQ5voJivZBZrQVFIjVrVUsTyVmoK+yopO6V+MDNXb3vML6uUd6jsxRf15S9YXBOTMBpcFqCNMyYnGqAyVFJhi9lzjw+LuARsUMtKdZ66EzmyCpvYtp5GB9JOaCMzKY9HqWtuEiEel1kej1qk4NEvAwx+Ka72DGdnk614yWrpm4R7TWtkhIfW6KTWVBbiDW31ppmq/0Nxc6fXLI+8Ym/5r/919/nNT/4Q1z7gmcAK0gQx82yQk4pv7YaAAAgAElEQVThGNg5Ey54iWykkVMfDgg9R9TqOpXrjFzJuZltfPVrh6gOrzJ4qI+vKzKd0l8aUJscdBNfF5T9EXVvgGlm0gxKBHedzzalWWVCLaoEN6ybDUF3pZpktkPSacukp4aZHfN4BzZYx2AtJtOB8ZSLpxMOnbgNra/WTCPQhx06aIDl8x2UCTWthqzblAZWmqBCKqtCEiAbgsZkiZQEdS0XLxx/ciGn3/oI4IDN9jBx/htHTXGnjzPJ6UQqbiLxZzY3wMbLx3DFVqapkVmW0u/1qesnbWO+0brtM/+HW2/9Na6/4Sa++7pLMMkhJGinx4Bi+TtZ0/P+uAFDTLWVzmQqchrC7owEsm516Vc1Ooe1/Q9AkpPPN8nbTfKmAl9gGi3SpiFptySITA5lYAmpWlJVF94kBbqVoLWI4vo6WMJoj0KjkgSTy00UM6XZZPImVW+EtyOyVkhvPESp3HKtL+MpJak1SgcJX7l4tqjwTmGLWrycbC0WNTaMppzG10pSVmsnTbhxiR1VAYoZhfzkrfe2PCHFjZ3r6QZKxF3HTnnc+cXBY1KPxW532AR8H+sAfQFKTU6B0bhAG/WErHm/mXXgwAO889d/heuu+05e/OJn0mhYJsotsZchpmwww2S6EE/pSF0ULfEIz0Q1EebaqX/fz9AcYYHLL/8O0k6FuuchfDlCNVKyVoYdF3it0LmYlle9oZCPemuk3QYq0ygtSo3eVXhlBP0FgMdWVthLEfyx8WGXN0t0sMPoCESrWhuU8qKb7S1JK0MpyGan5rEKFDZsdTLSMVmOKypcXcmGkWcCGvE2bAhhdGV92IvlNdjSYhomPHUcNYnqhzJxZh0vbgzgeApHxNCJaXUy9bjpf+NoakBdrJF39qKTOab3bO88ZVltvCdPrsl66KED/NzP/gwXX7SHl7/slXS7IEEcexLT73scMU1TSeOGO13qZNi6AnK0OT2ouDNUJOUctjk+nWdmyxaqlR7lWp96VIBBIJcYBqsD0k4DZSFb7GJmxQkRV+NsMXVyaVwps1id6KBUawNiy1MPxlTrRYBkJtLVcR6sY9Qf4csSX1mSVpO0MyPoKoWk7K7GuyKMkQguilK/VqOAGNNimSpNDPFrqgYF1bgEzQbMVJ5AbHGqlSGucAEDIvU5PqK5pm1ipmutiNqKKXDsgkYkW/wgxa9jej4G+oGksRelNxuDXfYdl6C0p37SWnXTWltb5e1vfysXX3o+b3jjD7JjZ4kAPiZNK1mCYZAV4Zk1chLD5JpMmGnK1ijXQU7kU7/OWLcjy3fwuTu/Rp2dzeChdRLtMbnAML1TeOdpd9uAZlxZauUZ9woxIVegdcBB43HFWJpfWk2sXLyCqsZXFaaZks50AmhDusZKi4pHq9OQ4FcWAm8Z73C1NN4E0akDyQJQhJTak+YZOEfSTNBGB4ZUgjIZaWeGtCmwTmcjxFRYTzrXNLbPy9+b+FBPT7KKyb8lk7o5nsDTTKgIVolsp9i9nmY8Sf1m6z6orQh9bvNlHo8LvoHN7hN2VVXJ+9/3bkajdZ7/vGs56yyDnMTxPY9jpmm5pfj+50iAxrIGJj0Qh/cl4/6IupxBqW/zQN6+/ULuv+co2TnPYnU8QrXbqEQJcivoR5WjinJ1DEqR4CjGQ3lbNESSv3SPFSo1uHGFG1uwwlH23uE30hmpe92oxlkVoJgyF6zHhTgfBnldV4OrkFrbS3qkdAxEMIkCV+JsFUZH8vx2XOKsxaPlVB7WeOeoAy2T8DtR4F2BK4Y4V4Zxlg6gkekgjLVXZC5NGZVvYHjj/fH0jeOMaQbVmMHRY3h/Pkp/fYd017nncOedd7K+vn7qLvC38arrit/8zXextvogP/nmN3PVVWcjCqbT5UxMl2N6HS1rEyQDGjMRPpz29KrxfoDCIE6kpyfkztyJPNPlmiv30sw8prmN2//8DgkmWzLujSjWCkyaks43aC+2sXVNp9OUubJVYegpYxodxARMmjBYH2LLepKi60m96b3AQNFCNfQ+BFktrCOtPdiaan2ILyv2f+WAWLmGOtuOxrjaMljty/1GE50sXOVQicaNK7By82X42TQ0yjz4qsaXNujaR8LH5ObqcZAPOhFbfSLSK46oIvwPJqCROIaKdVyfrL0Lbbbx9aqboFXC7MwMyRMQanni8t7zgQ+8n0/8zV/wgu96KXv2bgXW2cz7hskpHBuM8cSNU4LYyIppdgxkB67E5FvRyTzf9oEMsxwc1Bw/cB+7r3oxvldgl0r8CBpzXbJ2ivZWRj+pJut2SJpNBADl8V7h6yidg5xmiWHmrFl0ZsTf2BNOQQkXvCaZaaGN3jghTSPFtEU/W1BYNVm3Telg12W7BW7hHN4bTKOJ0hntxTmSRi5d8rBP6DxDJ0bYWAIZI+3mMqJqpzhn8ViU0VT9UsgcVS1jqI2dHXSSoLRj4gcVUzmYBGbN5EMVdbG7TFww4oiqxNs1bGnJZ66W+fFJVpal9NZ7JyVHPJFWXdd86EO/zZ98+Pd57et+gOc893yMOcaEiDKNd49z/pgRVUx6G/GEjlhrM3VLcbbAZFtPC6IrrjMYyE1UusiRg/fi3AKtHXu4/W8/R+2idWhJNRqDCeLptcMVNfXI4iyMV3q4oTS4XDkOjomya+ospLteOrLV+gBXjqUODmJ49agAj/g7GVH6UCQUwxLvLM12GkZXGVjZNOpxKcQOZyWxqgIAxQdYlAJ0TNkRmqKVkZlAMDUoTbYwg+m08CoHneNR+I155HSXOuKnp0gXm9Z0bdZnAtmM9/exxTFceTbeRzeNr1+NvMloNMbaJ3Ygf/zj/5OPfvSPeMMbfpjrb3g6adpjsmnGEzeCP6YBOtP9iCmSzQYAZJqhVqBThU5agf56etYZhfZceuUL+MpdX6YsCi66+ntZLR3luAJXopOUtBOMuq2cWApP2S/wVUWj20blAtKQOS6Coa5qXOUg1diywpcVaSfFZJNmk9KapJGFGHAy8sKD0jQXZ1FJ8F1wQisUgIcXYEeisKORfC9kBnZch1qajQxAZxk6TWQ+qxMBfyiQ3UXAASaTGl9K5+kghsluHwH3MEnv4mY3wU9PToXIHy6oRkcp1y06uxBtvjF6KEkSqqo8qXDiE2V95rbb+K33/RYvuukmrrvuSrKsx6QGjqnxdODGjCjO72Hi8DFC0vHYrJwGhgwp1kbUo+nT/dSvMxrIeT6PL2tctYZJtvPsG17OXXfcgy2szIfTnHJ1lWKlhx0VOOfJ55piS2qUdIrRmDwDlUCSipCeFtimMQm61SCS+PE6bAcalRqUB1uUOGdlPBQaZK6oqcYWTCobhLMbm7JKDWlLBABMlqGQmt07j7cJ3ipcZcNozIcu9xhbBESZD4woP0V7JMJC4wclNkdgguCKp4Bi0kiZfnz8XmzIFGDHNLY+D5Nt4e+6tEliGAwHlFVsvD2x1r33fpV3vftWXvKS63npy66j2YogjpgOT08HIhJretYfs6eIV2gh+Oomk9RbNoXR2homnSNpznPyLOvUrDMayCbZwlOeegW9Y1/Ge8/clmdQjROO3XWAegT1eiEOgnMdTKeJSj06S9BBvtV5hdcmxEZNtTbElVZmxCBoLOvwpWW4f1W8lePG6BVlf4xOE9I8wddO/HqrSoJKy0XReSLwS23Fd9l7PApbWbwL46k0AQuuqMErhkfWpQb2WnDgtcRutT6eBHh8IRtNu5hCx4aTx1VF6HlFsEEM/ozNHshxrhk/bCOK9YMosw2ldvL3g/LjpvjEQ3YdPLift7zlX7Fz506ed+3zabXHTFhL8XpM49tPnNFPz+2nR4QwQeXFEskG8cY5lD69pvJnGDWvOe/SK/jYR/+EuipAz/Gsl72Je752lN5D66wuj6nLCdhBZwLm8N5L59dbfCF61lo7UeNIElxhcbXHK4WvKlQzpb17AW0MSnuUdjIH7mQo4/Fa42ornssmQecNsk4DpSe+SeVAMgJXy+m+oeelUnRu5JYp8I729nm0AiqLLWt0M8M0ctKZdkjDp2osFX53LbrX1XAQoKcKnbYEj7vpQzUtJhAJEtMfNgsMyDoLmMYzv+kPTJ41MMkTq2s9GK7z6+/8Zc47p80/fP2NnHNOdOCYroGngTbxFLBMiBCRbaaY1MFjBIY5ZtJ4rIEl2lua5J3dyEZ8+tYZp7/MzJ+LdWO8Xw0OFdt49g0v4sE776fbyNF5G+dzRsf7eEdwcxjhtZeaNwtq/TrFqwbep9JBznJwSszHvQQMylP1R5SrIsOiCFMeJ2AU08jCCRnmyaXFFTILzjoBrqkE3bUx0qoL6t6QanWIHZS4UYUrK9AK5yw6SYJapgKVkrQk3fLxhFUanWbSrVaGtNUJTZDpWmx6tqynbnG3n2OiEbWGdyPEb/ebG2/kjZxGI2c46D9hGl5FMeadv34r7YbiDT/6L7hgzyVshlZOS/SkTMQLYbOeWtxE4wYbM6yoYR0BH7UYFPg5vD89IJDpdcYDOW9ux6Rd7r/zNqlFMaTzz8e2Z1n92j50naCKIY2FtoxpfEHSSNCJFsRUSJNxUBVjXFlCmqJ8ELNXXkZRtcNbSDptspmGIMCUkjR8QxpTSa1sRUZIZ7kYseGp1sbYogzNMiOUxpU+rizRTUPSzjCdDN3K0A2hqIkipvCX6yLs3gE2KtfcC8miLgPOOdZTJZMPzcnqs1jHxpRZ6jnvlvHuGKhLUGoX33QzJYzppmfuj+dVlgW33vpr7LvvLl78kldx/gUtlDrEZtrndCBPZ0IxG4rBGzfZeDqfyGBTG4/3vsT7LiJQf3rXo0BIzbjuxhfz0L134Fxs9ec8/bp/wMFexb2fuQM7LKnL4C6BzGG996LUYV0Qw/PkMzlJDgo5ET2SrjqcNMKMPF6kviSQlTEBWhl8oFLFsYPL2Jpw0mdU4xrdyjC5wCN1qtFpQmO+hWmmUl8mKsA5PeV6X2pkBdHzKW0lAgYh/E49ReLYRHXTTD4wJ4JBIgQwBnCsz/rACrY8jre7gD08HLK6UlCOC8aj4nHfuXbO8kd/8EEOPHgXP/KGN3LlVVvR+jgShDEYYz8iZkQRRRdJKymbN8kIy4yThtjljum3BoaM+xV1sXjaYJnT61Fhlu847woOHT7E+rH7RLkSgJ1cef2r6Mx0uOdzd6P1NpTOqfsV5bgWUT4dlTs8GM3o8IoEu6tFQ1qLy6HJRJgelEjcJiY0dgJYxIGrwRYyYti6eysmDcQJHGkr3aBSKq037o/sJb/BpnJ478jazcBiCru4iil09KoCX3vcsA5EDtH68tV4Qx53gqmertemg2y6Ji6pi8Pgt6HM01EqOi9+c0trw9ZtW8jzx7d8j/eev/zLj/EXH/8Yt9zyCp7xjD3BeTNn4ugRxeJPfB8qJvVwvDZu6nHTE4PkhK8Nrl6j0d5F1jybMxFmj0ogwzzXXPtccDG9CSu9hLOffjNlldI/sA+cI+00aS80SZppEBWQ1MU7T2PrDEo5BsuDgM9QoMNoKkj0SNM4bBbBSVEZSZV1FkY93ofiecJykTnwNGgj7Noe0Q9TEmy+0nivcdYKemyDAyGNMZTBOwM6Rbda4EXt02NQaSMQQWKQTtdqselXT70GhzRnjoNfxOTXoHSXh5seK6VYX+0xHo8f1yfyF77wWd7znt/k2muv56rvvBKloxBARGVNz4nj/2MaHTdmkK52PfX9cuo2zUyLzzNE6Qql5zldbKcT16MUyAnbzrmUv/n4n1GM16dmmSkqvZILrriJr37uHuojq3irN0BUkVzhrZOg9Qn1oKK9OIdOUrx1lL0erijw3m5wFojOdwpcKdI7ptkiabVC7Sz+Ur52wSJKLm7ZHwXhfIW3RryanKPsF9hhQb0+Do1Oj04NdmypBzWuUmFkJc8nRueI549OxKni6z480wofMdU7kb44whZHcXYGkz8nfFAe2Yk6vzD/uO5a33bbp3jHO36Kl7zkBl728hfS6Qi1czNPGDbPjj2bReWnZ+wn1sjTX8MEKFLj6mPYwuHtLKcTBDK9HqVAhubcpVRWs7K87wSCu6Z7znN5yjU38ru//zEGh/tgUwFghO6tSjLqskQlirTbntSfiSKbaQV+s5LT0Dr8uAi600qkfjadfAIMwSs5ZL0NHOOarJ0HA/M0nOYCwUxnckwzI5nN0KZGZ36DxGFaTelIo4WU4SzeVnhbyAGtfNhYDN7rEwzcopTPNJII4gnt6mXq8Rz454cO9SNPi72Hshw9Lk/ko0cP8+/e+Q6u/s6ruPnm72ZmZoBkMtPorDgjjqd0DO74nsbNNGUyv49ZUmxAxmlCfC65z46H4OdQepZv5Ro9nPWoBbJSOVc++7v57Kf/Avt14P2E+e0v4KU/+CY+8id/ycHPfA1fKlRVSqDVlqQ5I7KzXovot4fNlDMJPGUSqlEFSlBh3qswCgqne2Wlk0wRmmFJEP8LtS4Ob0eg7YROmcjYyjuPc+C8D+qcAQDgS+phH2dL4TvrWDd7BP9twVdS12+yR41d7Ph1RA8tY6sHUWaBvHtdUPz41j4g3e5ssKp9fAXy0aMH+dmf/n95+pUX88pbXsf8vEKcIKaFAWDyfk+XNTE7Spk0s6bFHPzUc8SMKgZ3fFyPcgTOPQWlF07r3zq9HrVABs35FzyDlcNfxdneSaCCOfPbruPl/+Cfsb4+otp/GDeW7rP3FbgROtUoVQdDtUSgnl5JauxltORGFUku8j4ycgm+xfF0T7Ngzypfu9oJcos0NJBdSL8BpdBaiYxuEENQCrFYVUqAJ6XgtZN2KpphIfPSWbKhSe9djVdO9Oo39Kwj4AOkASN6T94NcFUfpfcAL0BmyN/6Ln/urt3cd9999Pr9b/m5HitrXIx412/8Ou12xk0v+l62ngWi8DHd/4in8XTwuqnvxQCPzbDYwY7fm95gI3U0ligFgyMPovRWksbZfCPSyulYj2Igg066nH/hHj7/f/8YayPgfHqlJM0rueSFP8Tt965w+19/jmq1H9hLWlLWqOqhvNAVQ2caJVpZfiwjIDeqQoc8/o4YQIkYnHvZgZXTYLXMm31oeijpPiulsaXHe9CpQaeB/6zCqao0JNFeRgX8h0Zh8JUPvGNk/BXTfutCeu02/mb5UB1neOBLHLrj89TVxWjzPJSa4VSlaoNBn1a7RfI4qZNHowFv+Tf/mgcfuJPXvv77ufCpLZRaZ3MdO93cirTDdOrr+P3YsZ4W3IvBDdNptKzYFB3QmE9pdM8LWdOZW49qIEPGlc98GalbRvF3nQx7ueZF/4Rs8QLu+cRd9PcvCykCwVZLt9iKhYxSG2gt00gx3QYq0eimIL+8n+5SAsSmmHSFVaLFccIxURVxE3KFztIApJCf34Bbhp3cZGmwsgk7t8pCiq9C09tvdLyViSypmEo7BETSY7R8BK8bbH/aLWStK5EP3amrty66+GL2PbCPfq93yp7z0VrWWt7//neh/Dr/7J//Sy679Bwm4gDTgJvocBlP4AKpkeP7Ou2fVTAB5UQ9rvg808qmduO5q+Eq1biL96dPQOAbrUc5kKHV3c7d9zzA6uE78RsAkZOtbVx+zZu45Htewf/88Kc4+uWD+FGNL3UITiOjnXEZAqsSuVpvhfkUR0rABHQROsTKgqpwxZhidUBdBC0vZ6XBVZbgXEiPPXYsSpouqIao6PukRENMYSRYlcwfXeGo1kUQQAVPqInyZlzSpa7Wlujtewg72kJz6yvQ6cWc6iAGWF9fpy5PrBu/Pdcf/MHv8Zn/8ym+7xWv4NLLzkLpo0wEFyKoJmYeEeQRpwOwmRcOm0/a6fRYMaGUxo1hUjvbskCbs4MSyJldj3ogwyzX3vQq7v/yX2Pt33c65OjmM7jlR3+GI8uK2z52B/u+/CDV2OBxUsM2jAScj8J4EnwEgIirK9HA9tNKlJGkoUiaBtNKUamgv+pxicoaqCQHneArj84M2hh0mgch+8Ak8hpRxpzuftboTJPMNEK3WtI0V5UCBvFhs6hLxkeOs354TPPsF9DZ+b3odCun6xJlaUajkaP1t28gW2v5yEc+zH//b3/ID73hx3jWsy9HqVUmATqd/sb7poknUQmkxSTFjqqmJ44AYXNqHicMeXj8URpzO8jaFwRtrjO7HgOBDNt3Xc2Dh45z9KE7hSv8d64Ule7had/143znzbdwbGnEXX97B/27HsKXDrycgt5awTRXZahBwXsZWakkkCo2eQwrUBrTCIQGneCdiAsQ03Ufu88ubAyRWwxRiSRm7vWoEgKGN6J6YkxobHk53ZPwdWVZ2XeYOz9xD755IQsXvpqk8TSmnSFOx1pYWGR9vUdZVn//gx+Dy3vPJz/5l7z3P/57Xv3ql3H11eei1BKTphVsbmZNTwNigPqp+yIMUyOnboPJNYipU7RJjSe6lGje9ahGq9hqKyLBdObXYyKQlcq46hnX8IXPfAxbj/nG6fX0amMa1/CMF/4E+dZzOHTfUT7/3z9N/8EVfGVRxkutmibUw5FAI3WCr5R0nG3Q+NqEyDGTMRGCAFMmCuZJ0E7IDl4aYi7MGlUqkM7Qmk6aCmUsfhQkfV1waQyEBTcoWLr9a9z2p7fh7CxPffZracy8AKW2cyZ8A6ytKYsS9206fjp4cD/vfve7eOUrf4AXvvBGGo2oZBmDNAbotOl7HBeNmaTcsfvs2Rzg8RbHSiduChapt4dUxSrlqImzWzjdG/A3Wo+RlqXmvEu/i9tv+xuOHPw0O3Zfi/6m9I00Sm/hqVf9MHCUw/d8gns/9wW27c9YuOAs0sUOKktJ23GnVWLAtjF+mCYqwOaUOHwdZHriNdRRIROFrSo5WWNHU8WOp3xwVKJRiZZNQwF1SXl8zNpDS4xGls65F3DVFa/FJDs505ei1WqRNXK0ekzs5Q9r7d9/P//in7+ZG69/Pi+6+RqarRWkXo2gmljXTmcbJ17bOCOO12salAOTDQDkdJ7eHKbv65E1E7Lm5cCOU/dHPsz1GAlkgAWuft71fP5TH+GsHU8jy7fyzTdimsButl+4k+17r8EN7uaOT/45Z8006Wzp0D1/G1q5jVmyBOh0/aOCGL2epL8QUukI1VbS2d5IscHkiaTw3oIaM1HcCAEdTM9VXWMHI/Z9YT+qOUtn+4XsPPsyknQP0bP4TK8kTVldWaYsi8AL//aolVdXjnPrO36Bpz/9Ql548/XMdAcIqX96BhwdHyKhIQbkiZh2xWbFlWklkOlZc/ycREmm+PwtXH0E72ZRycKG5/WjsR5DgQy7Lngun7/tL+itfImFs54fgB4PZyWgzkN3dvH0G3bTXz7AwXu+wJGHvoYdDzn34qfQnMkx3W7oHgeZHyeCeHVRyvhIxxRbdmClNN5ZXFmiskwcLJykZAL4mJozuiYM1/H1OuXyGsNjAz79+fu47Mor2P2M6zGtpwV45bR4wJlf1tZ0Z+e+rQzMi/GYn/npf8vi4hZ+4Adex46dIFansal1Io463h/ZSdOz+mksdRQSiNmZYpKOV0zoirEvEufPx1jdf4DG7DNoLZ75TvX0ekwFMqrLc77n9Xzptj/mmd91GWm+9RF+yAxwEZ2Fi3jqs64Ff5jlI3diBwf424/cwZYtLbbO5DTnu1it6XQbJDNNkqzFBvzKhrRMWVAG5SwqNL58DYxLESTIDK7QDJZHHHroKHZ9xJe+ci/XPvcK8tkFZi5+Ji/8zh8GtTXwUh8bqezWLVtZXVtlXIy/LU7kuq5517t/FeV7vOIVr+WcXRF6GZU84jw4Ni9zNqfD/oT/N5iMp2Kgxzmxn3pcVCP1U4+tgHW8W2J+96UBdffohtJjK5CBucWnUpaWr37ho1x01S2Y5FttHqSgdv3/7Z15dFzlmeZ/3721SXJps2RJXmRLtmVseZFtDLYxBhpDCHZImiUQ4mSSmSQ9aQgJk21COCfdPUnOTDfpk06apNPENJOkE2jaw5Y0JmGLCWCDob0AthNvMl61q6Qq1XbvnT9uva5PwsayraVKus85dSRV3bpVpbrP977fuzwv5dVTgRhXzrwe4h10dzZzeO9bJBMRfCRI9kaxLZuCoiA9iSRzaqspnl5Fz/GTFFeESfbE8JcVkexKYnX14fP5iEQTJAyDzt40oUARFTUzMWrLmHP1JzEDJaBKcFMbuafEkU6nsSxL9g05jVQqxQ9+8Pcc2LeLz//l55nbGMYtvdT3tGJRxeoOdI8lfyxtjLrqx6ne0+zfTsw9/lQMQRYIN7hpW+2AQhmTcUerji5yjshKhVh97a08/f9+ysyLVmCE6zJ10Bd8ZlxNpSIIVVNSM4+SmmuQHKCTipFIpklbEUynm0PvNHNwZ5TK0okUOiWkjTjJiE1haTmh2mKUUUCISpQvzHRVCipMlrC5R9yBKCgoIBKJ5EX66fEnHuGl3z/F3Xd/lXmN04GT9G+C0IOVUkst/caSE5Y9tJQCO9qx4mprpFWyd06RTUUlgKg73teKoMyZmSzD6HtZOUdkAH/BTCZNqeelZ/4vV97wNfyBoqzLO6QQMbValB9CWqB87gr9OIfTp/hzm6zvB8MwMU+J6Ocu3nlnO7/b9BRf/NI9rLq8EcNog4w8lAvZA0uwStcE12sSJLgpah96U4S0KwrB3dnV/Wcd6wIPbShVjlL1jJRwwNkw+kvJaRHgkstu4/DhQ7Qe3jaIIpHhhjrDLb8Ri8ZIp0f7f3tmvP32Dn78w//NR25Yy/Ll8zB9bWSnHWb1wLPFHmKZ9RSSpKNEm0s+r+h1SZBMpGz1vPNAXS6wkhHsdAJl1qGMieTKdZCjRFYY/grW3fY59ux6llTy5Jjrm80FhIvDWE4qBxbK92L37l184xtfY27jQlZcvoSCwi6yGlq6WKEQT0gs9c8SuJLPVoBrhYXk8pikpsTiiiWGLPmlkKSHdLIVx6lCGSNTuDNY5CiRXVRNWYoqKmXf7s5OtAEAABXkSURBVGexLHGBPAwVSkpLKAwVDVEMYujQ09PFP//kB1y7ZjU3f/SjlJUJkSTYFKe/8qXcL8EusagSzJIGB1t7PJ05T4zsQPP+UxSzXU5FgA/basNfUIYZWACMbrppIHLrG3wPClh55UfZu/1NOo++mpHP9TBUmFAUJpHsc6PXOYJ4vI/vf//vCIVCfHDtWiZNknZDyQML4WQfrEMNuE9IL0ZgoKXWu+Dk/GLdhcxun7FjuwIFSjWiVOWQf+4LRY4TGYLBqaxZdwsbf7GBeOSw52IPIWbUTefosWPEYtHRfisA9PXF+Oa9X6f50F7Wf+Jj1NcX4PYVywIeICtlqzdC6CTXK7egfzxDDThHMHPTaSCiAlLRFcXNGbfh2NNwyzBzx6UW5DyRwaB40nJWXnU5b7z8MKmkrrrp4ULQF+ujJ9KTExY5kYjzwD//kJYTB7jjjv/BvHk1KNVL1l3WG/sl6jxwZvHAwJNB/72xvj/WryGxvLIfBldx01UIcewWlFGB6WtAGcM/NeJ8kAdEBvCxYMXNnGg5SXfrKzjO6WSBPJwrZs6cTUtLK7FY39kPHmY8+9tfs2v7Vr5w51dY1DQFpTroL3gne1aJMsskCEkM6tZYLwzRLbSkp+R+Uztecsb62BiFY3eRjCWx0nWgRk5M71yRJ0QGpUr44M13sPm5Z2g7visnI635BsNQFBcXj7pu1x82P8cjD/+ST3zyMyy9eA6GIe60XuAhbrQQTva7ElnW3WepndZla4NkSzELcPO/elBL7ssGuWyrh0R3G6a5GF+gjlymS+6+s/fAz4RwHatWf4DnH3+QWMfBzLgVD+cLn89He3s7yVTy7AcPAxzHYeeObTy44ces+9BaFl+8ENMnY07FZRYLKcGtAFmdaUN7HPpbYz1CretRy75YZjpJBFsXQAwBEeLtzRi+ufhC9eTivlhHHhEZIEBV3WVcfNkVvPnG4yTiHV7w6wIQnhDGZ/pGbZfS3Pwnvv2//oqrrr6GD65dQzjcR7Z0Evq3FOp7YEkbiVqHRKulaktE5+WxgecQ665bc7kvBRzDTh+goGIGgXAjqOGdbTwUyDMiA5Qwq+kaensSbHvx56QT3eAMDF54GAzS6fSoBQ5PnDjKt77111xyycVce+2VhMNpssPCZdaS1IFLHrk385gfKKb/BErZ58qkRD0QJtrUZM4vr6Gr0cg1FMG2jqOMKpSxhFzLF58JeUhkgHL+bO2niMU6aTu6GdseOyLrI4nyieWk0skRjzf09ka4//5/YMH8Gdz+8fVUVYfJRqT7yPYAuyL9LiRSrY/UcQb8rtdby/0+3O6kAP1F+SRYJouBG0CzrSiOPQGHRiB3SjDPhjwlMoQKJrH6+lt4/N83snv7c6QHrfXlQeD3+2lpaSGRSIzYa8bjfdx333eJdB/jhg//OZOn+IB2XAIPdKsF0uwgpZN6aaYUiMhz9PEuEjCDrDa1FILIecWlTgKtKENh+JZgGDXkC4khj4kMfkIFddz+6fW888YLtDZvwbZyvyUvl2CaIn00cnjk4V/RcvIYn/3cncyeXYmr8KHrSgsBJcUkgS9Lu19PNUH/WVn6XlqE9iRdKeeRoJd0QDlABzhxFPNRaiojOe5lKJDHRFZAmJJJTcxa2MSmJ/6V7uM7MyL3HgaD4uJirLSFNQITGW3b5rHHHubZZ5/k1ts+wZw5s1EqSbbaaqAelh59FrlaKerQySzEl4YKPQ2l67IJMeU8QmRwnBYcJ4bDfFAzGKlRqEOJUSCy7toMBSaxePknWbzyCl5//pckenfgOJ6bPRik06nsDOlhhOM4vPDCb3lww0/42G03sXx5I35/J67FlCkaoistXpUEq4SIocxNWhj19JTePCFFIqZ2nMwuludLZDsGTgeJSAQrsQClZtM/gJY/GAUiGzjYOENKNB9Ny29m1oJ5vPjUr4j3/hHHeb/xMx4AKiuqaO9oH/Y98oH9+/jpT37Cf/+LT3P1mmsJBmXPW4or6C57VXF7xWrqovGyH0a7zyRbgik3KQKR44roH7mW3HIUK30EK91GMLwUX+gi8pXEMCpEVsPUll9A/eKbqVuwmKc3biDW+ycvx3wWpNIpd0byML5GR3sbDz34I9ZccwWXrriKYKiXbClkH27KSZ+hFOS99dXyDkWjSyYpShTb0G5inaV9UTxAeQ23m8qxIzhWHKXmZZQ+8pfEMGp75OG6dEqYs3Adk+tn8/vf/JRI23Z3GJtnmU+LYCCIMYyOdVdnB1//2l2EQiYfvH4NFRURoA03Sh3HzQvHM0dLoErvM9YX4hQu6UUBU/bKAwex6eogQnipCBPL3IaViqLMJShzLozCrKahxigRebgigm4A7NLLb2XW/Hk8tXEDXZ17vVLO94WDlU4PufeSTCa5//7vUzulmPXr/ws1kwtxySWEkoCV1Ezr0xPFIstxYsGFuFLUYdM/kg1Ziy054gSu5Tczr3EcK53A9Ddh+upRozQgYKgxSkQeTs0rA6UqaJh/PZcsb+KxX3yPliOvY9tex9TpEAwGMcyh/S5s2+Y/fvMoR4/s5sM33U5tXQFKtZHdA4sErR5xFgWQAFCJW7klrrQErMTtlgowCYxJAEzvNTYy5yXzezfQ6g6pN5ehjHryMTp9JuRg+kmfyXS+UMBkGppuYdEly9j0xI85fuD32JZH5oGYNq2WaDRKMjk0jRMODo8++nP+4zeP8d8+eyeN82tRKpJ5VN/L6vI7QliJXgux9fpo6UoaqNml55/juISNkq2ljgM92NZRHNuHUqsye+KxQ2J4XyLLijnSGEpd6FKWrridq9eu5+nHf8WB3c9hpUWfySM0gGVbmZqQobHKr76ymZ/97CE+/JGbmD9/BqYZQ9e9yu5/dVUPvUDDwt07SwmlPnRcjpVUkqmdQ7qazH43x+7ATh0HpwjUEqCKnLRfF4j36c3Kn/K0M0MBpUytu4prbkyxfctzJKLv0tB0I77AxJwfkzISmDJ5CpHuHpLJBMHghU31ePPN1/jud7/N3V+8iyuvWo3P30NWAB7cvapuQYVwepWWLOSQJa2ulKn3GMt55Hm6NU+TjJ4klWolWDQTn68JN901Nr/zPF2aziVH7O7LptevYN2NN7Jn9x72vvJvpOLtXnoKKCqa4M6zukAHJdLdxv0//D+s//jNXLpiET5/O+5sJj04patz6OWVUmml9wTL73oQS08tQdayy745gqScbOsIyj5JQWEjPt8luF1MY5PEkLdEFkdiMFVisuqXYIbmctMn78QfMPjdo39PV8vOcR8Ec6fEXtg2qre3h3vu+SYrV67g2g+sJhyO4lpf6H+J6QunLMa6vrQ0Ncixen5ZtkN6BqIIqMDtbsqQ2kkSj+zHTln4J1yFEViaF/3EFwrtv+wMuA0Vzv18bR2tWLb1PtVfev3s2VZZeX0DKAGjnDkrb2Ha/Aa2vvIwJ478gXQ6Nm4F/ZQJ3ZEIqdT51aj39cW4777vkEh0s+ryNZSXuz292UCWjF/Ru5V0Qus544FielLhhXafpKQkKh0l27rYQc+JN7BTBoZvFaiZ5Huhx2CRMW0ONmkUJmrI3Y9zP5/jWFiWhaGMMzz9XPLQ+gkyqorKYuGStdROn8EjD21gadPbNC67kVC4JufE2ocdNqSsxHltMxzH4V8e+icOHjrAV7/yZRrmVAInyOZy9Q4myBJRyjAlLyzpJSnFTJFdpPWONkd7XNJVbp7ZsSNAhAnVC1BqIW7p59h1pQci8x9WGPhRmT9tUudQCz1UFjx7nsqJkwj4/cMQjNKL88spnXg5n/vSfXTHojz16H10Hv9PHHt8TbSoqakhlU6QTp+7Rd606de8tuVV7rrzC8ybNwWl2nEJWIxbA60HpEztb3Gb9byybomFoAMrvHTvSqx1BMc5gm31ARej1KWM5aDWmXCaqLXCOOWO6BHBM2Eo/mEDX0eXLR3qL0TXNwZlVnP1urtoa36BzZt+RkPjPGYtugF/sGpcWOdgMHhqAR8sHMfhj396ix/96Pt88a4vsXBRLYbRifu9hch2McmiqQcnhaSikKnPKpb0kk87NjnguZLCckstHacXmInpn4e7gIz97+x0GIFPPZic7cBKL8kfjtCqqgqpmLGGdevvJp6O8/zG79Hd+p84tgikj10oQ9HW0XFOc5L3HdzDvff+T/7rpz/FyssW4/frs5OkGUKvcR84c0nyvVJ6qQsFSEmmBLoGPlcmQbRjpeLgNKHUUlwrPD5JDGf95ENRSpn7Q79dBPEFprPksk+x6PLr+f3Tv2D/mw+S6N2N44xd5ZFZs2bT0x0ZdCtjZ2cH995zL2uv/wBXr1lNYaGUS0q9s044+VvXo07iKmCKCy1utrjNunKmhUv6oszPKImed0jFduPYpZj+a1DGRWRnJY9fjN8l7LRQQAk1tVdyw/o78RUE2fLiL2k9/gy2dZxzy1/nB6LRHvwBP6Z59kuhp6eH7/3tX7N82UKuu+4GiosVLil14g2MmYgkreR/JR/cR9alloVeGh1kzyyudQ+OfYR07BCGWYgZ/DOUsRw3N+xdwpDrqtujBgNl1jGj8TYmTt7LztefpuXAHmpnNDGheimGr4SxcgFVTarh8OF3iUbff5BbOp3mgQfux/AlufHmm6iuVrgFHwOVLMXSpsjmkvUsg94rrD8mi2RQO0ccaMFKtRHviBMoXoC/YD7ZvLEHgUfkM8LNO4fLlrHy6hmcbH6Zo/tep+XVF1m8+jrClQtQRph8J7RhGJSWleDzn7mJwLZtNmz4Rw437+eOOz9Pba0CWnFJ5yerswXZPmG9oUECW+JK6yWWemOEhbs4GOC46SSHFErVUVi5AGWMv2j0YOER+axQKHMS1fUfobruEPWRHZz80xb2v7mZi1atIzRhTqanNT8vMKUglUphZwpw3ltH4LDlled4afNzfP4vv0Bd3QSU6iFrVcUaCxH1geLiRkNWIF5yxEXa82TPHMdxIuD0kkpGMYw6TN8iDF8l+aZqOdLwiDxoKFB1BEsqqF0yh/hb2/jdExsoLplIXd0lTGlYiS8wgeHttR56GIaJbdn0xePYlu1K5Gp4843X+NZf/Q1f+cqXWbasDp+vi2zroaSOIEtkPResp430/4uDK4MrKacEriXuI97ei8VUQiVX4vNXM9baDYcLHpHPGWEw5tKwcBazGq8hFd3LW6++zMF9rzGnaRmTpi7G9JWTnYiQ27Bti2gsBrbzHonrt9/eyXe+8zf8xWc/zapVqwgEWskWcUiVFZy+jBLcwJW40XozhK76ESPedRJUgEBRIwUVDbj5YM8Cnws8Ip83/BhmNcHicpZcexG73niBQ29vpbd5F/6SGmrqFxOYMBNlhMhlQgcCQcrKykilUliWjWG4BIrH+3jggR9y/drruPqaD1A0oR23T1jvC5ZGfyGrpIH82v3+zM8A2Uh1b6aQow/bChIIL0EZs1Fq7AQRRxp5ROQE/a3cYMkxmOq0C0EApapYePGtQBvJrkPseftVmn/7EJXV05hWv4CiigYM/8SMyFtukdq2LWwrjenznSqJjfZGuOcbX6aufjof+tCfU1aexI0gn66cUgo7dKkeyAa9ICuc10G8qxXDZ4CqxhdciOmbTFbHy8P5Io+ILCQ+1y98pC4QBVQSKK1k4WWLsJPH6Wvfw/Y3NnPi6EYmT51Mw4JllE1eiOGrYHCdW8MP0/QRDAZJp5LYtk0qleQH//B3lBYHuOmmG5k0SaRkZUGUhghdh1puusi81Kwnsa0OUGmUKsVf2IQyp2MYJTAOSmBHCnlE5Hz60gMYgekU1dRy2bqV2MkTdB3dzdEDO9j+8m+pqZtN1dSLKK6cnVEqOd9F6sJhmiaVVRX4/H5s2+bJJ37JiWOHuOOurzJ1WgmuOx2j/wgXvbFE4brUGfEApwuIYlsxUDbKCKGMGmAOSpViBvKl0i+/MMJEPpObe67ur158kMsXhSvPawTClNfVUV63inj3fo4e2cfh3a8Rff13hIqCVNRMoWrafEIT6lBmGE6ls4b/s9m2TbSnl3Q6xdatL/HkU7/m7ru/zMxZk1GqFZe0unyttCaKpXZVQGwrjlImdtrEccqBWgx/NUpNxIs8Dz+UM+Qd9cO9Jx0LkIb7VpJ9Jzj2x51Euztobj7C5MoKps6aQdm0aZiB+oy6RSFZidehx6MbH2HbtpfZv+ctvv6Nb7J4ySJ8vhSumLw+GcJt5nfsLqxkB4bfyQTzisGuAmMGSlUO63v1cHoMg0X2CHx2SIR3KoGCqcxYtBToZq7Vg2P3Eus4SMvBd3CS2zja3ML0hjpKqqfgL6rJVJOFgWKUCmX2mecaABzwbpRFsq+Vz3zmdubOq8HnO4RL4m5wEtiWQ6I7SiBcgJU2cNIm/oIFGEYZqGqgGEypqfYwGhgGi+xhaCDligkS8Ta6296lMJgi2deDIkZB2EdHW4SgGcJRQYqrajH9bvpHmWGUMrGS3Rg+t3ZZKTdVZKfToCyUAZZlY/pq+PGP/gUnneCW25ZRVW3iOAnstAEqiJ0OYPqrMcwy3PxuGC/Hm3vwiJyX0EaoyNRJ1Yed7gRiYBgo5cPJBJzAAKVQKOy0OhWEcolcRaQ7TUFBOYGgmSkKkUmInnucL/CI7MHDGMAwLbkO3T1d41aZ0oOHkcaw+U5Pv/gksUTUI3Me4N13m2luPjjsA889DB+GzbWOJSMEzBCmMRxqmB6GCvF4H3fc+Rn2HdzPd779t1x68XL8/vGhBT2WMGwWORQowDBNLyOR4zhy7DBVNVOYMmUae/+4l0hPz2i/JQ/ngWGr7DK8ap68wNO/2UTDrIvw+4M8+dSTLF60hLLS0lNdUB7yA15+YRzDcRx27NzOokWL+Pjt61EoduzaQU9v72i/NQ/nCI/I4xi7du2gYlI54XAxU6dMpaFhNu/sfouOznYvSJln8Ig8jrFz1y7mzmmktKSUwoIirl1zHXYqzfFjR0kmvQh2PiGP2hg9DCUSiThbXnuFdDLN69u2opTi0KGDzJw1k0OH9zNnzlyCwdBov00Pg4RH5HGKEydP0NXVxaIFTVRWVFJWXsq8xnm89IfNbNz4GA0z51FaUvYeMT4PuQmPyOMUL7z4PE2Lmrj9Y+uZXDPl1P0FoUK2btnC1m2vMqOunoqJFaP4Lj0MFt4eeRwilUqxZctWFi9ewsTyif0eq5pUTUGoiNdf20pnZ5sX9MoTeEQeh9h/YB8pK0FLy0na2ttOzUa2bZvde96hq7uLXW/t4q4vfYGf/+vP6OzqHOV37OFs8Lqfxhnu/6d/ZNMzmwgXhkmn01yx+gpuvfVWKioqsaw0zz7/DIWhCZSVleLzB5g4cSJlpeX4fN4uLJfhEXmcIZVK4TgOPp8Pw/AcsrECj8gePIwBeEuyBw9jAB6RPXgYA/CI7MHDGIBHZA8exgA8InvwMAbgEdmDhzEAj8gePIwBeET24GEMwCOyBw9jAB6RPXgYA/j/CnEUoFw/b5IAAAAASUVORK5CYII=)
Maths-General
Maths-
What is the number that is to be subtracted from
𝑡𝑜 𝑔𝑒𝑡 ![fraction numerator negative 13 over denominator 12 end fraction](data:image/png;base64,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)
What is the number that is to be subtracted from
𝑡𝑜 𝑔𝑒𝑡 ![fraction numerator negative 13 over denominator 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The circle touch each other internally. The sum of their area is 116 pie cm2 and the distance between their centres is 6 cm. Find the radii of the circles.
The circle touch each other internally. The sum of their area is 116 pie cm2 and the distance between their centres is 6 cm. Find the radii of the circles.
Maths-General
Maths-
A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77cm. Given that the bucket ascends in 1 minute 28 seconds with a uniform speed of 1.1 m/s, calculate the number of complete revolutions of the wheel makes in raising the bucket.
A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77cm. Given that the bucket ascends in 1 minute 28 seconds with a uniform speed of 1.1 m/s, calculate the number of complete revolutions of the wheel makes in raising the bucket.
Maths-General