Question
Solutions in the given Interval: The value of
satisfying
are
![pi over 9 comma pi over 4](data:image/png;base64,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)
![pi over 3 comma pi over 9](data:image/png;base64,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)
![pi over 6 comma pi over 4](data:image/png;base64,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)
- 0,1
The correct answer is: ![pi over 9 comma pi over 4](data:image/png;base64,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)
Related Questions to study
The area of the equilateral triangle which containing three coins of unity radius is
![](data:image/png;base64,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)
The area of the equilateral triangle which containing three coins of unity radius is
![](data:image/png;base64,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)
If
then x =
If
then x =
The curves
and
cut each other at the common point at an angle
The curves
and
cut each other at the common point at an angle
Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is
Block A of mass m is placed over a wedge B of same mass m. Assuming all surfaces to be smooth. The displacement of block A in 1 s if the system is released from rest is
If
and
then the
are
If
and
then the
are
In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is
In the figure shown block B moves down with a velocity 10 m/s. The velocity of A in the position shown is
If
then the G S of
=
If
then the G S of
=
A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take
):
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)
A light string fixed at one end to a clamp on ground passes over a fixed pulley and hangs at the other side. It makes an angle of with the ground. A monkey of mass 5 kg climbs up the rope. The clamp can tolerate a vertical force of 40 N only. The maximum acceleration in upward direction with which the monkey can climb safely is (neglect friction and take
):
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HRQN6nb39MnTYTczznYYGPn0pWbu6eGDlyNDp26Ki2LMZX5ywhjezcSFTvvvU23nnzTf2/jKiG31epgpZCSH379sOM6TMRLKrh2rVx2LRpK+LjExAZGY15XgvQo1t31K5REw1FUhsnamPs2lhL0rqPYBGWhWLH+fPndSaQkhX9psp+/Y181sewYSPgKSQSGByKhf6LMHOWCwYPGYY2IjHVqFZdE1d8V+lbnSX8uvSX6ntV9uuv1ThP14YPhKy+LlMGNavXUGKrW7suateqhcYNGqmda5xIZ/4LA7F+/QZs356NLVtSEBCwCAP7D0SdmrX1GOYtpHp43JK07gtYhGWhWEHPdWZynj51qroaVPnuOzRv1hxDh41UsvIPDMY8b184TZ2Obt16oGbNWmqf+vLzUqIGfo+O7TugW5euaNywkZIY1bqWLVqql/sXQmD8Pm7cREyeNAV9evfV/ahmflW6jO7fU9qcM8cT0dGiJqakIy0tA8uXr8TggUPUbtZASIuOqXHr1yuxWijZsAjLQrHh2rXrmhrL19dXszhTdatbpw6GjxgJj7nzVarylE9+b9G8pap+ZYSs+Nm0cRMMFWnLQ9RD59muqsqxrLt80jhP4qN01bNHTyxaFIJVK1dj/jxvkaom4IcOPwjZVVefLbo2UFWcOGGi7BOO7J252LFjJ5aELlN3CZIipT4mueDMJdVDK9lEyYVFWBaKDYcOHsLSJUuUZCgRMS9gV/nfxd0D3r7+cHZxw+DBQ9WW9bVIRGW++AK1RcLq33cA3N08EBa2Bhs3bsbixUsxaOAgNG/aTGf8+vTug6qVKyth9e7ZG8uXrVJb1fr1GxERGYMAIUL6ZLVr3RYVypZTia1+nboYLypiRESUEtaOHdnSbii6du6C7ypW0pRhXGCdlZWlnvcWSiYswrJQLDh95gzWxa4T1WugSkwkJKqC48ZPVOM6JavBQ4aqhzpn/WiXIiGNHDEKfgsDsTY2DunbdohElIfVa6LUgbR5s2boKYTVV1S/7ytX0TZ79+qt0lWqqHrcf1tGFjZvSUZY+Bp1aejauSuqV/1e9hXSknNNnuSEuLiNOHDwMNLTM+Dq6oYmjZpoQoue3bsjbNUqnD93rvAqLJQ0WIRl4a6DAz4pKQlTnaaol/lnH3+CGtVqYJBIU65uc+DhOU+Jq2XLloWuDeXVSO4iEtcykZbWrduAxM1JSNuWie1ZOxG+JkIIazhaCOH1EhWwXx9Ga6iCb0TCorQVFlZAWGnpmfqZnJyOxMStiBJpy98vUEhwpBrmuT/b8Jo7D2lp25CzK0+IcR0miLpIVZUb/cMOHTxYeCUWShoswrJw17ErJwfu7u6oU6umuh58/smnaNe+A2Y5u4kq6AenKdPQQb5X/u47Ue2qoHOnznBznaP+U5zJ25qUhi1JKUgR8snYnoXw1QWERVsUJaoB/QagWpWqSkB9+/SV+jUiXRWSVUqaEFYaUlO3qS8Wpa3g4FDdjz5Y5UWSoxE/JHixEtb+A4cQLtJY165dUUXUzEEiEdKWRW98WLasEgeLsCzcVRw9dkztVu3atMG7b72J115+GVW+EyIQ9c9rgQ/mefuIpDVYjd00iHf+oTM8PeZh9eootVdt2ZqipMXP9G3bsSNrFyIiozBi+Ai0EomMxDNowCA9vuxXX6nhnPWZQmzbMraLlJWhs4HJsqWIFEUSW7cuXqSq+UpU9HavIsQ1ZvRYIcYUnD13Adt3ZGHKlCloUL++7NNFVMyVOHzoEG5Y0R1KHCzCsnDXcPz4cZFWwkUK6qUGdJIVoyq0bt0Gk0Q99Jy3ANNmzET79u2VOGp8Xx0TJ0xCVNQ6IahUUQOTVRXcLNtW+Z6ZmY1du3YjJiYWo0aOROtWrZSg6NVeo1o1JawB/QcgWuqzc3KRlb1TiSstLVMJi9IWCYttxcSsh4tIeLRjlf78c7SVPi1bthxHjh4TKeugSFzBOuPYpVMnDcecmpKCS5cuFV6ZhZICi7As3BVwcMfFxWHIoEGqqr39xhsaYI+OnAMHDRZ10BUzZjmjX/+Buh6Qnukd23dUySchYQuSC9W3zVtIVqIOCuFkZecgf89erFsfh7FjxijJMNbV8KHDCgjr66919nBdXDzy8vdiV+5udVvIyBTSoj2LaiElLflMTtmG5ctXoW/vfiph1a1dB9OmTpNzJWHfvv3YlLAJM4VMadQfMWwYVq5YgVOnThVenYWSAouwLPzXoO9SYmKippCvXaOGktXrIl1xUTOlqclTpsJj7jyMHT9R/a2qfPudOniOGTVW/aE2i2RFiWiLEBbVtJTUdLVJ5eTmYZ9IP/EbN2LC+PFCcO0xTFTLUWpEr65SGlVFktyBQ0eE3PYJaeUr0WVk7ripHpKwMkRai4tPUJ+utq3bqlMpXRoWhyzGHiFFktaSJUuF0PqoOsvU+Ax/Y6FkwSIsC/8V6GSZkpysET7py8TwxWVFwuKaP84Adu3aDc6ubhqBYcjQ4aghRGPYruZ6zlNDOyWrpOQ0IatUVePSt2Ugc8cOkZr24OCRo0jYlIgJEyboImcSykCRsiih0TGU7g4JmzZj/8HD2LvvAHbn70POrlzsyMpWm1aq2rEKFkJT3QxdvBSjR41RCauebAzul5e3GxcvXRZJb5OomP11reOYUaOs9GElEBZhWbhjUA3MzsqCi7OzeotXFxLp2qkTOnfooAH2ysvWo2dvuHp46oLm7j16qQsDA/QNGzJcVbSNCZuVSGhnImmRXDIyt6s9au/+Azh28jS2iNo2btw41KtTR5fSUDqj1zyX7zDmVWhoqDqCcsbvoEhaefn52JmzC9ulLD0jUyUtbknJqboQev58b13SQ/+wYUOGYJsQJLFzZ45IbMN17WL/vn2Rk5Oj5RZKDizCsnDHyNm5U5NEtG7RQh0vO7ZrB1chL2a4YQiX7779Fr379IOz2xw4TZ2BNm3a4RtRE2t8Xw1TJk/Futh4bBWSImFxVpBqIVVBztrtFClp/8FDOHbilEpYQ0UVpG3sQ5HcGMedaicjNdDPi9JQVGQU9uzdj2PHT2KPqHe0Z2UJAWVs31Ho8lAgaaWlb1ei7NypCyqIStmja1cN6EccOnRY8xzS/eEHId0N8fEav8tCyYFFWBZ+NRje+MCBA/D380Prli2VrJgwYq6HByJWr4aXp6dmualerTr69huA6TNdMGLkGDRs2BhfCekwfLGzs6sQ0RZ1PTAIi7YrqnHZO3chb/ceVfGoFq5cuUrtTVQz//3MM3jx+efx6osv4s3XXsPHH3yAJg0byrk9VTI7euy4Eh3tWbSB0fHUUA1piKebRJSoob179lFpr3PHjoiNicGPN37UeF1eQsB0maBhnja55KQkTRtmoWTAIiwLvxokq2XLlmkmZoaAadG0qYY7Tk1NxaaEBLULNWvSBHXr1EX/AYMwWaSr/gMGo3at2ihTujQaNmgAV9c52JS4VYgkA4lbhLCSUpRUMjOzVDoiWfFzU+JmuLu6iRrYUKWq5599Fq8IWb3x6qvqNsH/y339NUaPHIW4uHjsEzXy4OEjSlq5u/MLpCydNeTSnUxRNXchOnqdzhay7ySstUpYNzRaQ9CiRRqy+VVpm8EBKTHSJ8tCyYBFWBZ+FTjVvzo8HH16FURMaFCvntqwdmRlad3mTZs0XAsJplHDRrocZ6Kof7169UW1qtVQ+osv0LhRI7iJmsgFyyph6exgqpJK5vZsla641o82qOXLV2Do4CEq8bz1+ut4+T//UcmK5PXayy8pgdGTnsb4sLBw5ObtxqHDR2U7gt179qq0ZiasAglLCKtPf7VV0ebGRBgkLEpSy5YuRUO5pr89/TReeuEFDOzfH3vy8wuv3sJvDYuwLNw2zpw5o/ae0SNHarQE2o8YloUx2mmAp3vDhrg4jBszGo1EimrcuInODJKweooK9n2Vqhrm2ExYlLA2b0lRgztVNjNh0TUhaFEw+vTshYrlyilhUaIiYfF/EtYLzz2HUp9+JoTVG6tWrRKpLA+HDhUSlqiT2Sph7UAqDe8GYYmE1a+QsLp0+kElLOYspIS1XCTHRvXr459//auei4u395oIy17oGZYVVW5bf7fKDdxpuW2do3LCUZ2j/YsLFmFZuC1cFkLasnkzJk2ciLq1a6NalSrqJMponYZh+szp00pY48eO1WUuDUXCGiyE5TRlBvr2HaALoMt8+QWaNGqsmW0SE5MKCUskrGRKWIWElbdHZ/yysnYKCYWroyjVM0pXzz3zjBIVVcKXXngez/7zH/j0o4/Rv18/DR2zO3+vzhQePHRYiC8f2dk7kZHxE2FlZeeq13v/viSsb9H5h46IjopSuxxT44cuXox6cn3//NvfVIobOXw49u3dq9dH2BucjgatUW5bf7fKDdxpuW2do3LCUZ2j/YsLFmFZ+EUwPtTO7Gy4ubiowZyzaPRXWrN6NY4dPVq4V0GUhq1btuhMG/ejzWrgoCGYPmO2SloMJcMYVsx6QxtWQqGERZWwwIaVoeobbVec8aOktXVrMjw9PDUvIaUqqoCvv/JKoUr4Ml789781dMyokaOwYUOCSGaHVDqjLYvSVhb9sbaZjO60YYlKyIgPdK/o1LGjqIhRSrqUIAP9/fG9SI9PP/mkno9Lgvbt21d4hQUD1BaOBq1Rblt/t8ptYVvvaH+j3LbOUTnhqM7R/sUFi7AsFAk+jDt37tTgdq2aN0elihV1kFN1OmoiK4JSGNPNz541C3Vq1UJVkcK4FIfkNH7CJDRr2gxflSmtQfpmzpiF+I2J6oVuNrpvE/UtO2eXGswLSCtfQ8A4TXZSNZO5CD8TiYox3ct88aWmqGdWHT8/f2TKsbRf7dt/UCUt9cUSiY2LqNm2EqJ8Dw+P0DyHjNzwQ4eOInHF4Or1azhx4gQWyHUy2OBjf/yjSHGv3VPCuhuwdx5bGOW2dY7KCUd1jvYvLliEZaFIHDlyBIsCA3W5yndCVkwlv9DXV73Ab9y4UbhXAWgHYkhkTw8PTWBaoXx59O7dBx6eXrqOsF27Dhqsr7KoYmPHjEdk9Fp1Z1Cju6iEuiQnYzu2i1S0MydXSYezhSSw9XHxmDvXC3379EHj+g10Jq9Du/aiok7SRcwkpD179qt0pS4Nu3ablugYoWfS9XyBgSFo06q1BgBkBIcN8RuEsK7r7CelSJLio488orYy2uv2l1DCunm8nSaKat9RnaNywlGdo/2LCxZhWXCII4cPa6gVui8wvDFn/uZ5eakHuCOHSs4UBgYEoK5IWPRG79y5C+Z4zMUcIa2evXqjfNlyuqSGgfeYpXl9/EYlLBrdk4RQaGvatn2HqG47C1XDfeqiwDWFqWnpCF2yBLNEOuNSoAXz5iN2XZyqjoePHleyolTGmcJsUf2279ip0hUJi5+MsxUZGYOZM2er1zwlKdrhUlJScenyZZHGdmjQQTqoPvX446J2vn7PCOuGfFL1puH/1OnTIu2dxImTJ3H8+AmVZE+ePKUTG9eEWC/KJ/3NeN1cEcCNESdYboa5fTNsz23AUTnhqM7R/sUFi7As2AXtUVGRkegnEg3VLnquT50yBWlpaQXB7RyARBYeFoYmjRqh1GefoVXLVpjl7KKxsJhsomaNmhploVWLlpglxMFQxgwrQ+mHXu+M2pAm5KLe7iJZ5YkkRynLICOWbxEVkv5ZaUJguXn5OHjoKA6KKrhn7wFVIY1lOVw/SAJUEpT/GRXCb2EA+vXtp7OctWvW0NT1NMyfEEJYL+Q3csQIVRU5S8h4XqPke3GqhAZ4304KSXEhNgkobRslwlRs3rxVr3VbRqZc5yHtJ0mcKvSayGgsXrIcQSFLsFb6vnfffrvnsYVRblvnqJxwVOdo/+KCRVgWfgZ1X9iwAQyzQv8nen4zvTsTod5OKizOFHKZDiWsxo0aayysufO9MXnKNLRu3RYVRVqjiwNn6pjxhrGwUkUK2izqGv2xNNKoEMyOrJ3qR0VJy1APaaM6fOSYShj8JJGxnPW7RLIiWfE42sIoWSWLmkk7GSUsOoxOHD8JDerVV6dRxr7iOkSSRL4czyikvXr00CgTz/7jH3jv7beKlbDMoOTEiQIS1ZakZKxdH4cly1YgIDAYIaFLERWzVu5PkmzJiFm7HstXrZYtHEuXr9K8jiSu9aLa8jo422nA9jyEcX7bOkflhKM6R/sXFyzCsnALaJfasmWLOn/Wql5dpSuGDWZadxLZ7YDRGwYPGFDgWFq/AYaJZOU6xxOzXNzVCE8pi2sKmzVpBnd3z8IlOhk6GGljUp8snTHcoZISSYvhjLlMhwZ1hpKh64JBVlSNuAyH+9H+Zfhd0SmVaibbowsFybHTD5008B9JePJkJ5HutgghHZB9UjB71mzpU1ONQU+3hnffeuuuqIS8p9zsfTfApB0kqw2bEpGUmoZ1Qj7evgFwdvXQdGgrhJyWLFup2YbmeM5HYFAoNon0RVsd3TWYqCMwKEQl1hwhbbbvCEY/zOcnHJUTjuoc7V9csAjLwk1cvHgRWTt2YPq0aTrLR98nqoT0bOcM2u2Cs4qcKWzauLGQUw380KmzJkr1mu+DaTNmo13b9ureUKl8RQwZPBTLV6zS9YRJKWlKLgZp0VBOyYhRRLkmkMtsaIzfmZOHnUJgBf/nKlFRqsoUdZFGe8PATsJKF0mN7TGzzvhxEzSOPGcYGW6Zab4o1ezZsw8rVqzU4H0MifP2G2/iH6ISvvf228VIWD+KGnhN7VRZ2dkIW70Gcxd4Izh0CdJE/UvP3I5FwUvg6j4XwYuXYlV4BLxFnZ3gNA1jxk9WMqPn/sWLl3DhwiWdsPD1C8BcrwWIj9+IM2fPyjnsh3g2+sHNDEflhKM6R/sXFyzCsnATzMk319NT7U9cGMyIBVyqQqPvr3koDx8+rG4PvXv21GB9tWrWwuAhw1U6WOgfiGHDR6iEw2U6TLE1bdp0hIVFqF0mJaUw8mghaVGdKyCuTFXzSF50Ls0UyYsExe+UqIwwMtw/KTm9ILYWF1NnZiEuLkGTXNBu9unHH+vaQwb+S0zcIoRxWtTPTDjPdtaggPTvevWll1TCev+dd34VYdluBlGZCcvY//r1Gzh16jQSt2yFu6cXuvfqi3adumCms6vaq+hPtm79BgSFLEVEVAyiRQ30DQjCxCnTMXrCZHjO80b8xk1qlOfs7H4h3vDVkVjgs1ClLE48mFVDM8x9NMNROeGoztH+xQWLsCyowXf//v3w8faWQd1Cyapd27YajYHlvxa0c2VmZKhBuzqX43xeCq1btYGzqISLghfDzd0D3UWaYZaaShUqaujjGdNniloTqQkoKB2pEV5IhxuJi6odDfIkL9qmqAZRhTJUv2RRoxj8j/syHDL3IXklJGyGn1+g+moxnAwlO8bQWhyyBLuoZu7Ox1Ih5T69eiuR0YOeS3Ke+fvfi42wCN4jOrX6LwpGf5Eym7Rog7Y/dIG7x1wh4R06K8hAhJtE8qSqTHIKXbYCrh5emDLTGe5z52Ml1T/Z59Klyzh/4YJImdl6D0NEIouJXYc9e/feck4D5j6a4aiccFTnaP/igkVYFnRAMtNN5x9+0MB7lLDoKMoZOi5Z+bXgG5/rCsNXrUIbSjUffoTvRNIaOGCQJlD1E0mBKb/o8lD5u8q6pq9Duw4aciY8PLIgZLJISQUx3gukLUpf9NUyNlUfCwmK31lvbIY6uWFDIhYFBmOoEAKTqdKdgtmgfbx9CqNC5Mn5VmP48OFgdAlKfUyeQQ93s0poXppjEI95MxOSvXJzvYFDIoWSVGjbGzNhEiZMnqpSU2R0rKq/hw8fxbFjx7Fv30G14zHQ4arVEVgo987Nc76oj75qdGe8r7MiSbF9flLSXBS0WPYLlHuYYtf9xNxHMxyVE47qHO1fXLAI6yEGHzT6Ta1asQK9VH37VqMvzJo1S9XD/xa0h02eMEHjZX3+6SeoW7suRo0cC38hkeDFy9SZlIH0aOeqVaMmfuj4g2bR8fdfhMiIGE37RfWO5JOaJhKTSlKUtNJVdaQElZJKCesnSYuEtV5UqRUrwzBHyIBp7xmhtPr31ZQU54qEkixSW37+PvWgHz5suCa0oNsG/c0Yx4sxtv7y1FOaU7G4CGt3fj6Wr1wFT68F8A8Kwtr18ar20tmV6i5n+yg1Xb58RddVMhQP7VgBQaHw8VuE4NBliJFjskXCOnP2J9Xv8JGjWBm2GvNFNWTyjpOi8vIFYoa5j2Y4Kicc1Tnav7hgEdZDjFMnT2pUTYYJJlkxlvnUyZN1lu9upLg6Ke3TYN+rR3dd9Fy61Bfo0L4jXN09lbCoHrq6umvqLpJKtapVNQ0Xg+u5ivoYtmqNRnSgtEWCUmnKUBOTRLoyNtYLedE9gnafwMAgjB07Dm1EDa0mkhXjt/fs0QvzhBwovWVl5WCDqFgzps9Qu9UXn32mbhjurq5CYMM0osSTjz2Gt0XSKi7Coi9VRFQ0QpYsw9p169VRln5mTFdGyZGTCAWS04/qwsEZwcVLV6gdK3TZSqyL24gUIel8OebMmZ8Ii3Yruj8sW7FK059xUoKzu+Zzm/tohqNywlGdo/2LCxZhPaQgITFUzMRx43SZC9Uh+l0lJiQU6Rj6a0B1hLGk/P0WiuTSVG1ZVSpXQZ++/eEuks7yleEIE6lh3nxvDBo0RBdF0xWiTq3amrp+3JjxcHfzEBVuoZBQMEJClmCZDNaVctyqVauxYkUYltBxclEIFi4M0JRhM2fM1nDKrVu11jWLJMB+cr6FC/2F6FJEDcxXCWz69JnqI1ZayInX7+HmppEnSFrffPWVriU0luYUB2HRWM7lRNFr1yFqbayqvlT9aIejQ2hUzDqdFT1w8KAu3qa9ykckT0pWGxISdbJBXTZE2uQsp75gpHn+dlxiRDeNCGln7bp4keb26PkNmPtohqNywlGdo/2LCxZhPYTgEhCqazOmTdMlNCQJxn2KjIjAyV/hvnA74ADKyNgmRDID9evVLVj8LIQ0bNhIBArRhK+OUv+iuV7zMXr0GHTp3EWlLappVOPq1amrLghdu3TFwIGDdQ2ik9NUTJs6XdcRjhgxEr179UH7tu3QVAiofp16GtGUHvZcx+g0eSqCghYLISSpUZqzcp6eXkKgLdSxlSnvp4hUyUXbB4UcFvr4qGvDn37/ezXAFxdh8b4wBE78xgS1SwVIH+M2JOh32vjmLViIsNWRiImNQ9DiJZgj0iHdGuiftW//fiUpklqIEPamTVt0Kc+N6wXnuXT5kuZzpFpM9ZskaFYLzX00w1E54ajO0f7FBYuwHjLwwd0hZMW460zLRV8rpmfnchpmbi4OUE2hl/y0qVPQqGEDnRls3LAxhg4dDjc3T11aQmkrWAamh0heLGdWGxIpcw9+W6kiqguBNazfAC1btFQ/ro7tO6BtmzZo3qyZSlEkN6b+oi2snZDX6NFj4R+wSA3vzCBN6SUmZi2cnZ1FLe2gnu5UgceNGaMhcQiSiP/ChTpb+Mf//d9iJSyCNqpEUfVc5szFtFkuWCoS47q4Deq17rMwUP2v6MU+RyRHDyEsSqO0ffGFw99qLclM7h3VWxror1/7iZQOHzki7SyDm8dcxAsRmidPzH00w1E54ajO0f7FBYuwHjKoFOHrq5luODvXsUMH+Pv7Yy8HZTE+eKcZPjkxEbNmzlTDNnMTkmS6d+8JF1d3HVyrwlZjqUhbC7x9MU1UtmFCXEwfT3JqLRITyYnB/6g6Mvxyk8ZNlNhoTOd+zFE4eZKTSlBUFTlQd+zYJVsO4kQNdBV1r1XLFqhUsRIa1quvcbs2btigM5oEyZz3hp7wxUtYBZ8XLl4U6ScVXgt8MWO2G0KYVFYkwbT0berKELs+HivknnCJDu1RXGN44cJFPZZOvlyGxBlSujbwGsxSFBdD00bo4u6BuPiNt8wWmvtohqNywlGdo/2LCxZhPUQ4JGS1YvlydO3cWX2tmjdtCh9RgXJzc+/IfeHXgguqk5OTNatyh7Zt1chep3YdnSkcJeogo5By+czKVauxJjJGPxcFhcBjjiemTZmG0aNGaxLV3r16o5dsA/oPFJVwFGZMnwXfhf6iXkboMh/6cNG+szEhEVFRsQgQFWvShMk6C0mpqpkQH735k2wy4lDC8l6wQKM1FDdhkVxOnT6jdrWFIglyreVqRkzdvQfnzp8XAjqnah39zZgNiI6hJCkDbI/e7FwMzf353QDbZmhoH7kns13chbA2WIRl4f4C38Dm5BEN69fHzOnTRV3K1IF6r0D1kCrpsqVLhIBGanx3xseia0O3rl3VNhUsag6N0Zzxo2SxcmUYFou6GCAD28fHF/PnL1BDvbfPQlH7glQqi4ouMFwzQB/T0nOpzxKR2qY4TUWnHzoLUdVC3Tp1dHEzSSk9Le1nnuA0XN8bwipIlXbs+AlV5+Z7L4S3Tgokq5pogNIUHUiZfsz2N7p29ZoSHj31uTzHDH5PFSnNw2s+ps90VvcGqpFmGH00wyizLScc1Tnav7hgEdZDAE0OER+PoYMHq/tCbSEHJjvlImfzW/teglPtVMemSD+ontasXkMjilIKGjZsOKYKcc2Z4yGk5KtEFRISKsS0QsmLS0/CRJpaJZ8rVoZj2fJVWLp0BUJFpaLT5AJRsWbNclaVkvYs+pYxxvyAfv0QGrL4lugLZvBe3EvCOiGEFStkwkSzTOWfIS8PA+Z9CR5/mfGyzp3XdZ2UxOiPliiqI+1zdH0gqfG4C0JYVCvpi0UXkg0bE4qVsO4lLMJ6wHFNVAEavJkYoma1ahoHisTF8DFMGvFbgnattNRULAldjCmTndC9S1cN/ULfKRJYi2bN1TY1auRokbymwc3NHfMXeKuLgp9/IHx9/eAlUoSLi5tKUsOHjUCXzl3RtHFTdWngDGPb1q3VXcPLywvr1q1TWx0Hvz3cC8Iy15F84oRMps9ywYzZrti4abNKVVTprku9GVTp6BRK/yz6ZIWviYJfYLB6vPsFBmH9hgSNl8VjSWz061q6YpXOMFLaKi6j+72GRVgPMBiBkmv6pjo5qa8Rk0cwzx6TR/zWZGUG19Wlp6erwXvQgIFo0rixphBjeBtKXQxn3LlTJ/To3kMjlfbr2xf9+vXXQHz8TlKjXY7kxJnE2jVqqrNoZ5HW6LrBNF6cbCBJmMHBZy67l4RFUK3jUhqqhFNnOOuMH+1VjDh648db+3rmzFnNYB0ZvU5jYXFd4UIhKmeRoLgger6vvx5LtZYqJH286M8VHbteF0KbDfK2/TDgqJwoqo4oqu5uwiKsBxi0T81xc9PEoFwjyLWCK1es0GgKJQ0ki127diFOVKSQ4GC4urhgzKhR6NWzBzq2a6++WFzvx2w8lL5qCJkx3RhD2DDePBOiMhQOj3GeOQt+okrSZsds1LbJMggOLoNIDNxrwuInpSL6WnnMXYAZs1x14TIJxhZ0W6DDKF0fwiOidTYxJS1d/o/CTBd3dY1g4L+TIrUyHhbJikt0EkXt5zl4fgO2/TDgqJxwVMd2SZI0O3ACw3ye4oBFWA8gqD5wkDH+Ol0IKpUvr8kjGGv90H2Qdp22GHprM+19cJBIEbNmYfy4carKcr1fx/bt0b5tW5WqKDFOkDqX2bOxSK6P3ur5u3frjKSjwcNBxzpjM8DzMmKFmbDGjh6Ng9IXA+aBa2xGO47K7dUbIEkyOCGlq1FjJmi8sC1bk26RiAiGomFEisiYWFX/GKiQs4hJQsiL5NhFovptz8rCsePH5fhkjVK6KmwNMreLxCYkZj6nvX4QjsoJe3XqD3bsmK47TUtJ0cQkV4p5AscirAcQtNMwIWh7ISmGVGkuUggHoma6sfMwllRQbWWfOaOXmJgo0td6jTNPJ9ewVasQsWYNYmPXqo2OtrBckdBokCY52IN50JmJxAAHoK+PjxLWIySsV17RLNaHbUje3I65LUfl9uoN8OVy4MAhlYbGTnDCBKepiBJSOn7iFC5fuXrz97oq/9OGxZhgtHVxyU10bMGynojoGCSlpOpyHwYEpPS1fGUY4uMTpO2Dt8ww2uuDgdupM8D/mZOSvnUB/v6YLy9Hqt4kx+KERVgPEDgoTsgblsHzenXvrlESGjdoAFdnZ+zKySnc6/6FMWhsN6POEWz352YmEgNUayiVkrCY5osJWwf2H6D2NbobOLIDGe2Yy8zl9uoNXLp4SUM8M+UZZ/U85y3AkuUrNZMQwz4fOXoM586dx7Vr1+U44AQnKtIz1OhOOxbJikZ1SlY0rJO06D1PlZB2LNq+fpRzG7DXBwO3U2eA15OxbRs858xRU0OnDh3gIf/n5eXZPf5uwSKsBwhcB7g+NlbVJOYQpKGdRudUEddtp7UfdHDQOCIL243grNzevfswa+YszUv41OOPaWbpNq3bqPMqY1TRPmSrqvF4R+cwn9+23sDp02dEatquAfo4Y7gmKkaD+nHd4LKV4TojyIgLx0+cxPVrXCd4+WayCobT2bkrV9ckktQYyI/x6ZlBZ2X4aiU2wzPegL0+GPilOjP4PEWsXo0uQlafffyxkjzXo3L2mep4ccEirAcEnGmj/YZr4zi7Vr1qVTVAJ23d+jOnw4cBRZGFeTNwXgY2bUdMef/FZ5/jr39+SiWspk2awm3OXKxdv0G9zkkOV0Q9M4Pt2DuHvT4YIPFxNo/LazZt3qJSEvMvkoAYmI/rBxf4+uvSnFg591aGnNmRrVFSmUWIGYIomTESA430u/fs1bhZjOJA/7TQZcvV5sXlP2aY+2eLX6ozQEmOQR85oUMp/l//+Ifa+7hywtfbW1VzsxvF3YRFWA8A+NbdJuI5k4vSKZS+VkwQGhMdjbO3menmfoftQDO+2xKGeTPAOtqH6JDKJT+ffvQx/vrUUxp5lNEjFocuVcKixMOICpyxuxW3R1hSWLi/qHYnT+qsHlW39Rs2Im/PHnVDOS1qKV0ddGlSWIRGbFgZtkbDyvguDFTHWNZxkTSPZdwr2r+YkJZBDJn2f6molIuXLlcSvOjAfsXNFkXVmXH0yBHEREWhf58+mtDjb08/jZeef15novnc0c5IH7vigEVY9zlotKX7Am0JDG3MKARcfsJQMb8m0839DnsDjd/NhGHsY7svpR2mEGO4m44dO+Gj9z/A0088URBxVKRUJqmgSkj/J9qXaBuibYlS7VU7koTRvvncUlBYWaBO0SWB/le0WcUnbLqpbjI/IQP37dt/UKSlbKlLxAo5LxdIO02diSnTZskxPpg73wcTnaZh1NgJcHH3VDKlJEYyY6gaElbG9u24Is+HAfO1c7NFUXUGKDklJyVhyqRJ+nJkGOkXnntOE3d8+N57mlHbxdkZ2VlZP1Of7wYswrrPQfcFztC0bN5cxfNOHTtiUWCgLnR+mGBvoPG7mTSMfWz3pUE7R9QsH79AtG3XAR+89z6eeuwxJazJEyeq3xrDEDN88eqISJ2B49rF9G0Zauy29Uo32jef2wDX+THpa7BIbSNGj8fU6bNUFTUTC8H9OHvI5TeUpBaFhGpqrwU+/pgnREfv+IFDh2PoiNH6PTJmHSK40HvRYnh6eWtomswdO25RzczXzs0WRdUZoMS+ZPFitGzWTAmKqiBtfVSfmbyD2b4ZbpszuAyBc7dnpS3Cuk/Bh4re28uWLNF0XPS1atOyJQL8/JCXm1ssb7eSDHsDjd/NpGHsY7vvFRnUO7J36TKXFq3aCmG9h788+YSm/KLvV9aOLFXXuOSFiVfnyX7unvMQviZSM9wwoSsXUtuTtgxQEj55ijarXPU+d3bzxJDho3Wt33Zpwxbcn0H5OFPIEDJU9UheSfJ/zNp1QkxBGjpmwUJ/UQcTdMkO9yFRMZchgwAyXZj5OXB0/QZ+qY4OonQfoZ2UkVr//a9/qWTF+8TorJS0SFyMXss1ols2b1Zp8W7CIqz7FJo8YuVKVf8oWTWqX1+dJ3dmZ+PqQzYjSNgbaPx+O4RFf6fUbdsxy9UDDRs3xfvvvod//vUvOggZajlYpBsauC9cvKChh5l5ebbrHA06uG59vM7KsfzQ4SPS7q3SlgFKYgwls0ykM0pyM13mYNoMF4QuWY69e39KpWb064YQDQmCqiLbPSwbQ8kcFzWfs5lchrNVVLNtmQU5DBm5gZ/MrkNVc763nybksDV+27t+A0XVkfhycnKwYN48dZUhUTGzEKUqZsimve/5Z5/Fc888o2oiY5fRp01TjRW2cTdgEdZ9CL7N4+LiNIU8oy/QbjBj+vSHdkaQsDfQ+P12CIvq2LbtWXDz8EKTpi3w4fvv49l//F3VnerVamDCxCnYuIlLXA6LtJOis3d0O6DzJkPg0MhNwzedN5lcgtE+SSx8qRgxqxifir5WXKg839cP83z8VH3bsDERx47+ZMS37S8/1bYlxMNPY+N3LmzXT/nOq+G+JC3OEpIUadOilMb9Ddi7fgNF1dHulpCQoKsK6svz9sXnn6vKTFLnRsJ6V4jqkw8/VOmrft26mpeS9lVblfm/gUVY9xkuy1uXySO4ZIQB8L6vXBkjhw9Xj+OHZUbQHuwNNH63JQBj43cDHNB0KQhduhJdu3bXma9n/vZXVW++/746xoyfpIRFtwGmhA8MXqw2KGbvUVVs81b1OGcAPhrlGekzdOlyREbFqH9VQuIWla5IaJzNo9sCl9NQQmMmIMa8MmDu752AfleMYko7G4mLYWZInmYY98AW5vtjC74IN4uKx+CLI0eMQM/u3VGnVi21Y1EVJGHx5UknUq7pHDpkiK6u2L59u6rS9tq8E1iEdR+Bb7lt6elw4gxNzZqoakoeYRuM7mGDvYHG72YCMPYxys37X7x0WcmI6cEoIfz96afVmEzCGjVmPFZHxiAtLQMxsetFegnQWbgsUb8Z7ZNqW3bOLl1Sw9k8rgdkynlfkXKYYINExpyDJI78/D1YExmlNia6LDCWFb3RDdj2lzD329xnA+YyPiPMtLMpcbPGyGd4ZaqPtIkZKKodR3Vsl17sjKsWGxuri+iHDB6sRva//vnPKmVxjWegvz+io6P1mdy0aZPGHqNqa6/NO4FFWPcJ+ABnZGTAzcVFxe2K5cqBySO4pq4kRl+417A30Iwye5stKRBHjhyFm6ubem2TsF556SWULVcBHTp11SQRvqIGMj3ZVCGkoJBQ7N6dX3hkQfgXOoEyfjpDNa8RkmJMeUpWNH4fEnWSqhtVQ8asd3adg1hRKenTZVbjjX4ZfTP31bbcXG/+nwTBiA3+on66uM1RSU+z6twomjTMbdqCUiiDLh6hunv8uK5XZUSNr0qX1pRoVJ/58uS6T7rTHJFnklEyuNyJZGmvzTuBRVj3AfiwcBGwp4eHehNXqlBBZwaDFi3SB+huPQz3M+wNNKPM3mYmAANUpxhepvw33+BvIjW8/OKLKF++Itr/0AVjJ0zW9PoTJ00RFXEiAhYFI3/PnsIjC0B7EsmC/lncGG6F3ymdXL9ecJ7NW7Zi8tTpmDp9ppKZ0R/Ctl/2+mout63n/wZIFkzzRcKisyk94Bkn3ryPLcxt2oJl5nPwum4JxSPqM0Px0AOeMLdlHHM3YBHWfYA9MjDoW9W6ZUsdTAwZw2B3FNEtFMDewDAPGNvNGOTcDJBYOLPFNF/0w+JMWJMmTXXQh61eg+iYtZrsgsRFdYvLYn4tuFyGqbe85vuotGXAtk/c7PXVXG5bz/8N0I8rPT1DbWk+IhmGi/qZl5ev+xkwjjdgfDeXGbAtYzuaYYiRLf7nf5SwaFelZFWcsAirBIMPCd+US0JD0b1rV13Q3KRhQ81OTF8r88P3sMPeQDPK7G3GIDffQ0oNRjysR//wBzW69+/fH6mp6Sp9sZ72IM4I0qjNpTVMp/Vr1B6uAaRrA73mc4VADNj2iZu9vprLbev5vwGqf1RTaXT3DwyBj6+/hp0hKRuwPcbcpi1sy9jOLbHD5F5x7eqB/T+5aBQHLMIqwaCtgAbMPr17a8JTZmlmphvaCcxT1RbuDmGZI44+UhjAb8yo0bfYCLmYOCNzh5IWXRRClixD/IaNmjOQbg8XbaIj2IJLbqLWrtMlNHQipf2K3uD2+mWvzFxuW28uM0A3B82sPc8bseviVC00YLuvveMN2Jb/kkpYNK7iuhx/6fKP+LVLpC3CKqHgW3v9+vUYI2I2PYeZQIKJJFKSkx9aX6uiYG+gGWX2NjMBGLAXIlmlBpGiDHBWMGvnLnVrGD95KsZOnKyOmlzvRwfSTJHAjh8/qRIXXyqURC5fph2rwGeKahljWS1fuRrbMnZoWBhzH8z9stdXc7ltvbnMAF0muFCarhicrdyVm4fz539KJWaGveMN2Jb/GsL68foVXLt4BhdOHsaJg/nYn7sTuVnZ2Jmdh135B7H/6GmcOHsJFy5fx1W5FT8/+0+wCKsEggOHxDRh/HhN/MkU7MOHDcO62FhckAFj4eewN9CMMnubmQAM2CMsLkPZX6jmMCZV5o5slZDmzF2AUeMmagKIBT70LF+oSUuZL5E5FSk90TudXuk7dmSpvYrJULlwmqnoQ2RLS8/EWRKW9MeAuV/2+mout603lxmgLYt9odMqwzCvXhOJPNPsphn2jjdgW377hCUkdCwbh7eEYn2gC+a7uMLVfYHmYVzktwB+nm7wmrMA8wOjsGJTHjKPXgadPH76VW6FRVglDGon2bZNHfSY7JR2KzrirV27Vt6WJwv3smALewPNKLO3mQnAgD3ColRr5DHcJdLRirA18BD1aoazOzy8Fqg9imv7mNB19NgJGD5qrEZSiIpZpw6lzDvI3ImRUWuRnJKmUhgXK3MN4OakFJw+c/YnwrLpl72+mstt681lBtQdQaR1BvOjXxhje0XFrNXwNsbMpQF7xxuwLb99wrqGy3s3IW/lZASM6YT+nbuha+8RGDFuLJxG9cDwDnXQpmYN1GnUCx3HLcbcuP3YduZHXPh5FxQWYZUg8IGgMd1wX/iuUiWN6Lg4JATHjh0r3MuCPdgbaEaZvc1MAAYcEtbegqw5O7JzRLVagtluHrpQOkKkFiaDYBQHSjD00eIaw8DgUI1hRUmKM3Tevv6aEILRQ5kAljkIp8vGhBKHDh+9ZdG0uV/2+mout603lxHGJ1OGUboLCV2GySIRunt6YeOmRLXNyd66D2F7vBm25bdPWDdw7WQejqWvxubl87HIyxWebq7wcJ0Kt4k9MKZzFTQr9z5Kf1AapWsORHvnjViUcREH7GutFmGVFPCB4wwLyYlpqxh9ob18MhNMfl6e1ltwDHsDzSiztxmD3HxfHamEBmHl79mnYVwYTI+SVULiZlWvOFNIVZFrC9eIJLV2fTzCRPXy9V+kcdoZe53SVqaohiQ2qo4MD8MUXXuFSC5fvnXmztjs9dVcbltvr9wAZwyZFt9TpMKJTlPhtcBHw9ow+KMZxrG2sC3/NTYsXLuIq2eP4NS+TOSlrEVi5FKEhfhise9ULJjZDUNblkHN91/Fxx/XQYXuwRi7+gQybWMkFsIirBICSlAMFcM0VlQDuSKeIWgpcdFYa6Fo2BtoRpm9zRjk5kFtj7BodDcIixER6JbAUMlcO7h85SpNA79XBumhI0eRsT0LsXEbsGp1JBYvXaESFpfrMG4WcwMy6gJdIbjWMDBosf5P1ezq1YLf11G/zGXcHF2LvXJ+EnyGKGXFrlsvEp6LBv9bsSpMU9xzPwPGsbawLb99wpJjLh3Bhb2bkRUbiFXeszF31my4uM/DwsULEBwyCbMH1UC7Ui+h1Fvl8XnLeegbfAhJh3/eB8IirBKAc2fPqkGdtqrK336LBvXqYdbMmUhJSXkoQ8XcCewNNKPM3mYMcvNgtUdYHISGDYs2H0Z2YOKItTLw6VDq7eunvk77Dx7UxBCrROVjsD2GLqbfE4PwMSYUZ30PHjyEtIxMTYjKdYtHjh4tiLRg0yfjO8e6bV/N9cZ2O+UESYt9YN9mu7rr0h2GY+b1GPs4gtGmAceEZfbD4gWcwvncNdgWMBguXeugZa1GqNd8CPpO9oZPxEpExM9HwNQW6FfhLZR/rxJKt56HfosPItkirJIJLuHgglL+2IzFXq1KFYwVNSQpKemhX9D8a2A7oAijzN5mDGZuBn6JsAzQRSFuw0ZR65xVvYsWKYrx06ly0XWA0Ug5G8h1giQ5Ritg0tOETZuxLn6jSmInTpy6RXI2+sRPA/yfRnNu5v4a12Bst1NugOfkgmuGxOFMHf3JuAby2vWipXijTQOOCeunpLPydMvNSkNexDj4di6Lxp9+gk++6YAavf3huiIFSXuysffoasT7dsGYqh/g2w8q4+t23hi47AjSHJhsLcL6DcEgbYzgOLHQfYHhYoYNGaLJI0hkFm4ftgOKMMrsbcZg5mbgdgiL+zPqAn2bOEvIyKPLlq9CRGS0GtS54Hn37j2ax5C+WMzGUxBYL1FVRNqt6OHOsMwGzH0y/qeaSJcErkdkO0adeR9jY9kvlZtB51HOGvoFLMKcufM0CCH9y4qC0aaB2yOsE8CFKCT7/YBxVd9B2ddK48Oak9BxTjpiso7j+Om9OH18GeI9W2FQ+TdQ+o1y+LSpO3oF7kHiASHpwlbMsAjrNwIfwu0ZGZqGvW7t2qhYvjx69+ypYTmYlcTCr4PtgCKMMnubMZi5GXBEWGa7DKVehpJhaBjOFM738cPyFWG6VIce5VzQzHYIOm1m7cxBUkqaEhztWUaGZgNMcsr+GGB/aAhn0D8SHYMB0tHT6KftdXAzrqOoclswBE1gUIguxF68ZJna12zdHMww2jRwe4R1VnaMw7ZF3TGlxluo8PL7eKtsbzQYtQy+q+OQsH4JYhYPwYyOn6H2a0/hhb+9jRe+GYjGUzZgScYZHBehz1buswjrNwB/+NzcXHi4u6N5kyYafYHJIzhDyMzNxsNp4fZhO6AIo8zeZgxm872+HcIi2TCB6TIhKbos0IOcsd2pYjEBKuNl0cDOcC5cwrMuPkFtVukZ27Fv/36VbqiWGf2QP4UtC1nJ/6fPnEHu7t2aVYdqJRdYc4ZP9xUYx5k34zpup9wAjf1h4atFpXVTSYshcGjLchSCxvb427NhiRR5PRcHN7hhxbBa6P7dlyhftgG+bz0UA8c7YcbUYRjfpxF+qPo+Kr3/H7z5Rim8V7Enmo9dhYVbjmD3FdEoC1syYBHWPQZ/9Pz8fPj7+WnmEUZfYBQGfs+XB9XCncF2QBFGmb3NGMzcDNwuYZGIGMuKERCoBtIORHsQXRXomLl8xUqRqOIRJ2SVkLhVbUZMC2a2WRlEYgZtY2ybRnuGUabH/F4hAPbL2Nd8DcZmXMftlBvgmkiS1DLpKwmL10Jblm2SWAO2xzsmrFvtfSKT4uKBrciN8cJy55FwGjoUw0eOx+TpM+DsPB0zJ47D5JGDMHb4QAwdMR4jnXzgsWQL1u86hUPSFdveWIR1j3FI3r4hwcHo2rmz+loxlyAdRUlWjNFt4c5gO6AIo8xeuTGYuRlwRFhmGxaD2FHqIbEkJ6dqYlWqgwwZM2LMeAwaOgITJ0+Ff2AwNiVuEcI5oBKS4bpgwNw39oFEcezYCfWQnzhlhi75oQp56vTpW0jH/L+57HbLDbCcHvCMPsFQOb6+/khI2HRTnbWF7fG3T1hy/qsXcOXsEZzYtwN5aYlI2bgeCfHx2JiYgi1pO5GZs0czV/Ne7TtwFEdOnMOZS9dwRU536y9nEdY9BX2tVq9ejR7du2v0BQbznz1rli7FsfDfwXZAEUaZvXJjMHMzcDuEdfbcWfm+XyN6bt+ehZSUtIKwyaIeThKiYfx3pu5aExGtKeRpOHcEzv7RzsUFySSObaI2MgUY7WL+QSHYJmVGvkLjOmwJyCi73XJb0LVilaiG8zSaw3o18tuD7fG3T1i2uIwb50/i7IkTOHH6Es79SuuHRVj3CKflTRm7di1GDB+ui5lrVq+uSToZKoY/voX/DvYGpFFmr9wYzNwM3I5KqPHbd+ao9MSEEgmbNqsXe2R0bIEH/IqCOFn0d2J75vbNoP/VqVOnVVKjWkkpZ/WaKGzavEWJau/+/bfM3JmvxXYzruN2y7kZ4PrUiKho+IgKul7U2IsXb5+wFsyfjzJffIH//T//B6+++KImQ/llwiKkT+zbrT/LbcEirHsAvrWYVJIRGUlUDBfDzCPxcXFWqJi7BNsBRRhl9sqNwczNwC8RFo/j7BqN6FT5uCaP9h9KWEx2mpqegdzd+T9LHvrz89/AseMnNDEFDfYLpQ2PufM06gNtX0y4erswXwv/N29FlRtgKjImxWC0CcbLul0Ji/fKY84cfPDuu/jd736Hf/zlLxjYvz/22oSNvtuwCKuYwR+WmW6Y5JQqIJOeMp8gPdut6At3D7YDijDK7JUbg9k8eO0RljmKJluh+sZooRMmTUXf/oMxfqKTLtFhAD8mX+C6QPP5fjp/wScN7/R654Jp2qu4JnGlqGRcrkODPV0NGA7GDB5nOJAaTqQGWGdch3EuYyuq3MCpUyf1/Fy4zXWOjvz/jGMNUMJixFGGk2Z01rdee03v1e1JWHcOi7CKEXy4srOzNVQM3RdIVt06d8by5cstsrrLsB1QhFFmr9wYzObBayasRwoJi9Eajh09WrgHkC1kErR4KYaNHIsevftjyvSZKhUdPXZMHYENGOcwcP3adXUb2Lf/gKqUTDvP1PJczrMrL0+TUywQKWfGLGchr1CkpqVrph3mobx06TJOnj6tM430nle/rEKfKfO1GNdqbEWVG6B7w4qwcLgKWUZExdw2YdGPcMOGDZg0YYImRBkyaBCWL1tW7M+1RVjFBJIV3zZG8gjOCP7Qvj1CgoI0qYT5x7fw38N2QBFGmb1yYzCbB+8tEtbvf39TJaSaw2OY0n5b5g6ELl0Bp2kzMU6kK/ph5QrhcAA7Ao9Vv6ztO9SBNDo2Dpu3Jmv6e9o2aavK2bVLU+KPHjcBg4eNgIubB2JF1dyzZ6+GXt61e7cu6WHiVkaH4Mwj+0uTAqU2R8Rkr5ybAXrtr1q9Bp7zFqgbxS8RlnEsPzljuic/H9lZWZoQhSG9za4bxQGLsIoJhw4eROjixejepQu+rVgRTRs1gtfcufoDk8ws3F2YB5MBo8xRuSPCKvvVV3j8j3/UJBS9evRAVFQ0kpJTEL8xEWtECqHfFWfyKJXwfxKI7TkM8LcmKTB4H7NC+ywMVAktRkgrJTVNk7Fu35GFuPgNKmENGjoc7Tp2UemN6xTpUZ+4OQlbU9KxJTkVW4TouKyGxJWXt1ulMJLMnRIWJaw1kdE37We/ZMMyH/tbwCKsYgDfPFGRkbrUhum7GzdsqDYsrhss6k1s4c5hbzD90iCzrTMIi3aZPz/+uGZ+btmiJZyd3eDp5Y2Z8unjF6iSCGO401C9RKStgmQSP4+qwbapBtJxNCw8QiONMjN0SOhynRlk3sDQ0KUIEhXQ1y8Aru5zMWHSFAwZPkqkrJEqwc2d74vVEdHYmpymEhoXWVOVjE9IFCktCTt37lLpzfwSNK7rFwlLPkh4XLDt5x+IDbfhh3Xz2N8IFmHdZWjyiHXrNAZ7le++Q43vv8ekiRORKmRlLWguPtgbTL80yGzr7BFWi+YtMGuWC+bO88EskXgYtZNrAzlTSFcEOo3SJmX4SxmgUfrw4aMqCZFgSHIkKUozVAvXyxYpkttKOZ7LepYuXyVthWPlqnAsk+8hoUvUEE9ipIS1KzdfVcM9+/ZhR/ZOnZGkerpnzz4lxV9DWATLz8hx9HZfsnQ5AhcFa0C/iw5cbGyPN2CvrDhhEdZdBB+a5KQkjVLJLDfVq1bF8KFDC5JHOBC1LdwdFDWYHA0o2zqzSvjEo39SlbBjh45YJINZo4lGxiBRBnVe/h41ltMlITK6IF0XozMYBMH/6Q2/NSkVGxM2IzktXQP/0SWCGXiY4p6zjQw5wyQVu/P3ajTT/QcOaeIKbiQn7s9FyVTbmF2HJMglNWfOnlPXB8aDZ75EZuaxR0xGf8xlBmj7ItHyGuiasXzFKmSKBOfIzcZeG4S9suKERVh3CfyhMzMyMGvGDNSuWVMXNPfv2xfRUVHq4W6heFHUYHI0oGzrbAmLElaH9kJYIulsEimHSSMYqYEkwigMTCjBBBQMxrcjKwvJKakiPcWJihWpRBC7fiOYGWefkNRPksuPuHD+gvpq2S7XuVPwGn4tYakmIFIe1VoG8uMsJdVDR0Zze20Q9sqKExZh3SXk7NypIY1pXGeI4y6dOmHpkiX6duRDY6F4UdRgcjSgbOtuEpaohE8+9qimqm/RopXar9ZExSK2MPgejexMPkE3AIaWWRMRhRUrV4nauAAjx4zDgMHDdCE0DesMEXPx0q1SC58HVeHu0jjnNfwSYZnBMi6qpho6Z+58jT+vLhQiqZmPN+OXyu8VLML6L8E30t69e7HQxwctmjZFhbJl0aFtW3VnKG6vXws/oajB5GhA2daZCcuQsNq1ay8qU5CQVYKGiknL2K7uCFxC47swAC5unjrD5i9qFZ0v6ZLQ7ocu6DdwqMZtzxF10VEEBOmBkocBg2CMzeifo3Lbekfl8qXwDDwjlKxoU+MEQlBIqM46mieDjOPNMLdrhr2y4oRFWP8lDhw4gOCgII1nRV+rpo0bY/68eeprZc0I3jsUNZgcDSjbOoOwvjG5NfTo1kOTj6ZnbkfC5q26BIfxsGhsnzJtJsaMm6iZaDjTRhWLwfCcps3A0BGjVcqi9EVnUXOy1J9w6/mN/tj2i0t5DPKxR0zGZgt75cdF4mdIZ0qDzOqTKKogo0SYYZzDDKMtR+X3ChZh3SH4I9E2tWrlSnQr9LVqVL8+XJydsWP79sK9LNwrFDWYbMsN2NbZs2Gp0T0oRMPIhEdGY6kQFWcKPbzmq5e76xxPhIWvUZvW0aPHsUek7fgNG7HQP1BDzlAKi4peq35czJ6TsytXPdZt02vdDthXe2RyOzh/gc6puYiMiVGyYv8ZvoYGfmOG0bgfFmE9gOAShOjoaAwdPFh9rRiTfeqUKbpukA++hXuLogaTowFlW2cQlro1PPG42rAaNWwkktQM+C8KURWKzqIzZrtpCJmgxaFI2JQoJLVPZwYZp50zdozCkLVzp2bWCVm8BD4L/XRxM7eQ0KWaUJWzgPZ8t4rGnZEDyXFHdjYCgoMxZQZJ1kNnNzlLyf4aMCQ4g7AcbWbYKytOWIR1Bzh/7hw2btiAEcOGqZ8VXRi48DMxMfGWLL4W7h2KGkyOBpRt3U3CEgnrqccfK/DDatECbjLAl64IQ0DQYnjN94W3SE2rwiM0DAwD7Nlrn1loSEpbk5KxclUY5s331nDElGwY+51e8/SBYswsqox0dyCBZAvRZUg5XQzoGkEJiIuq7bnFMEQLZ/tok8qUvnC2kl7zbI9rDhmSeVtGhkaTWBgQCCeRCJnph/kIeS5bk4VFWA8gLsqDk56aipnTp6O2SFWUroaJlEVn0dOnThXuZeFeo6jB5GhA2dbdVAnLlMGjjzyiNqwB/ftj48YEDRtDB874DZt0ppBkxDWAHNyOQGM7CY3EwdyFMbHrsFzIgmsRKWnR8ZTe7nSNiIvfqFIPJbJ5C3w0vT2X/cTLubkcZ2dOjq4fNEA3Gq7dy9y+XcPDUPX0FDIMEEmQacaYvYeB+ebM9cLo8RN1myP1dMUgWdkGFuR9sAjrAQNnBJnpxs3FBc0aN1ay6tm9O8LDwnBGHkwLvx2KGkyOBpRtnUFY5mgNE8aNw8EDB2Q/aJbkI0eO/kyKZhu2g9wWlGYY3ZNhaDjDSD8tqpRBwYs1sSmN9quEoOgTxYXPzrIt9F+ks3iMZkrnThr/6S+VlJKCjaKK0q0iOHSJpsOn4X+ety98RW3l/vw+w9kVEyZPwZgJkzQd2fr4DUJyJ6XDhZ0qhNFni7AeINAwSfcFP19ftGjWTEMcMy47FzjbJtq0cO9R1GByNKBs6+wRFsPLHD50SOv5wrLnomBvkNsDj+fyLCayyMvfrSFkNm7apGv4GKWUmXKYLZrRS7mMhyQWJBLXtBmzdX0hQ9pMnjoDM4WIps6cLUQ0GROmTMUCXz9duJwpkh8joVI64zrEydNmwC+QAQbXYUdWtp73uvTTgLm/3CzCeoDAUDEhISHqEMoZQfpcLRTy2ickZl7HZeG3QVGDydGAsq0zE9YtMd3lN7aFuW1Hg9yWAMygjYv2p0OHD6sNiiGVGdWB+Qj3y/+0X3FhMxOwBiwKxrSZzhg/eaq6SlBamiIk1rPvQPQfMlxJjd73BG1h9MyfIPvO8/ZBanq6nscMc9+K6q+jzQx7ZcUJi7BuA1T3VoeHa/IIBuGjr5WbszMyMzP1rWnht0dRg8nRgLKtu5eERVy/cV1tUbQnMUgf1UY+T5zVY1+4fpDG89zcPHXuZJJWJqrg4me6Skx0mobR4yepDYuzlATjZ3ExNcPfcJaSKy1sYe5bUf11tJlhr6w4YRHWL4Axr7l4mYb1yoXuC9OnTlXDOxeiWigZKGowORpQtnW3Q1j2BrOjQW6U29ab/78F+t1OuQ1IcszYQ/sWjezpGZk6AUBpbdPmzbrUhhEhSF6cSTRgPr9tn4oqt93MsFdWnLAIqwjwbUdXBT60dF2oIRszg8THx1uhYkoYihpM9gaUvTolrPnz7wlhGd9/jqIHP3298nbvVrsXZ/zSRfI6drxgMoAhb0KXLUdkTKxGh7B1hbDXL6OsqHLbzQx7ZcUJi7AcgA/vtm3bMG3KFNSqXh3fiSo4eOBAxERHq1+MhZKFogaTvQFlr+5eE9btlJtBFZL2LkaDCF26DFuTUzQWFlVKRpFgRFO/wCBsTNyioWfMxxvnsD3P7ZTbbmbYKytOWITlAFk7dsDV1RWNGjS4OSO4cvly9X2xvy7Mwm+JogaTvQFlr64kE1ZBHsNTSEpJVTWQUUrpXMpIECeknPatpStWYWX4GrVxGaFrjLbNm+05fqncdjPDXllxwiIsG9DwSfcFJols1qQJKjJ5RIcOusB5f2G6JwslD0UNJnsDyl5dSSYsGtXpmhBOV4eQJVgbux4H9h9U29XOXbvUwM6s0bRn0V/MONZo27zZnuOXym03M+yVFScswrIBySooMBAd2rVDxXLl1H2B+dfoa2XNCJZcFDWY7A0oe3UlmbDodEqPeKYAY7QFRiplBNLjJ04isdARldIXU98b6wONNo32jc32HL9UbruZYa+sOGERViH4I9E2tWzp0gJfK1EDmzRsqEH5dmZnF+5loaSiqMFkb0DZqyuJhMVP2qhuzgoGBiM9fZuqfKzbs2+/ZmymmwPXJfIYA+Z2zJtRblvnqNx2M8NeWXHCIqxC0DbFcMYD+vVTslL3hWnTkJGZqW8yCyUbRQ0mewPKXh1/51vcGl555TcjLH4nSKL5cn6SEgMJrlgZrk6ldFY+feaMLsDmkht6yHOhtBm27Ts6zy+V225m2CsrTliEJaCLwjpmuhkyBNW//15nBZlIYuuWLbcsZbBQclHUYLI3oOzV2SOssaNHa45JM8zHcnM0yM0EYK6/nXIDdPxk1h06gzKrDpfzMPnqmbNnlawY04rrCkli9GhnO4S5PaN9YzOf53bKbTcz7JUVJx56wiJZpSQnY/KkSRoqhqm5GDYmbv16zS9o4f5AUYPJ3oCyV2cmrEeEsBitgWGDDh64lbAI8/GOBrmZAMz1RZUzuij/N8CY8AxnzAXSlKJOnjyt+zGjDg3wDHnD+FqM5EAbq9GW0Z65fdty27rbLTfD2Ode4aEmLM4IpqWlYfasWZrslNEXevfqhaiIiJ+tv7JQsmFv4Bhl9gaUvTqDsBhxlOFlGA+rb+/e2CQSDI3elGpsM93weHuD3FxuW19UuQH+f/r0Wc1ruG59PBISt2hIG9lNZwyZNXpRSKimyufM4PXrjj3aje+25bZ1t1tuhrHPvcJDS1i0AeTn52O+lxeaNGqkdiumlV8SGoqDNiqAhZIPewPHKLM3oOzVmQnrqcce04ijzZs2g+fceeoywFyER21StvF4e4PcXG5b76icm4EzZ84hKztHY3BRDTx05Ii+YBmlNDt7p4aaCV26XKM07DtwoPCoAtiex9y+udy27nbLzTD2uVd4KAmLN3iPkFXwokXqY8Ucgq1btEBgQID6WvGHsXB/wd7AMcpsywl7dQZhMUQyCYsSVvNmzeDqPkedMletjlB7EeO2c2GycSw/bQe5UWbe7JXzuxn8ziSpmTuysT5+oxDWVlULjbr9+w8gknGwRLqiLxaTndCsYW6H/3OzPa9tuW3d7ZabYexzr/BQEtbJU6ewfPlydOvcWaMvNG/aVN0XsrKyrFAx9ynsDRyjzN6AsldnlrAe++Mf1a2hb58+iI5Ziy1JqVi8dAUW+Phh+cpVyMjYfsvid3N7xmYe6MZgty3ndzPOnjmLpORUJceI6Bh1Fj1/oeA8nBVkHZNgULpiBIcLFwsyThttmzfzOeyV29Y5KrfdzLBXVpx46Ajr5IkT8maKxaABA5Ss6taqBZdZs5CxbZspO2/x4kcR4CxevLsoajDZG1D26sxG9z/94Q9KWMOHDdU1pYcOH0VcfIJmSvbwnKdpvnbuynUYsYPt2g5+R6Cax5coY2Jt2ZqkhBS8eKk6hFIFvXT5krosUNpaouGVl2kIZEPyIoxzmDdH5GOU29Y5KrfdzLBXVpx4qAiLHsAb4+MxcsQIdV+oWb26+tlsTky0G+T/7uMqcO08zp0+ixOnLuOi5Th/11DUYLI3oOzV3SQskbCYl/C1l19B1y5dEBERqQbvvXv3K1EEMoPOwgCsiYxBTi4Tpf48+w3bNQ98R6ARn0H3NmxMEJIK1dDG87191V1h77598hK9iGPHj2nqMK/53pqtJzw8oiAuu+kFa49kHJGPUW6vzths4ajO0f7FhYeGsC7JmzA9LQ1OkyYpUVWpXFndF2LXrsPpszZk9eM1XJeH8MqVa7h62+asq7hx5TwunjuLs2cv4vzlG7iFj66dxvlDu3AgMwnbt25Ccuo2pOQcQu7xyzh9UR6cwt0s3BmKGkz2BpS9upsqYaEN65UXX0LTJk3gNW++GtxJLLt352OzSDoMYbwybI0micjN3a3RQmlLomHc9mw8hxGYj7Yv2qi4P6OE7szJRbxIbozZPmO2C1zcPTT5xC5pk+1R8qLRnQueZzm7CVH6IyUlTftqgO0XRUyOyu3VcbMHR/VFHVMceGgIKzMjA86i+jWoV69gRrBrV00ecYxB+c348TyunDqII3v3YM+ewzhw/BLO/qL6Jg/P2b04lpuGHUlbkLQ1E9t2HcO+s8JTWn8Gl4+kICV8CZbNccPSBdMQEjIP7osiMT9sFzbnnINwloX/AkUNJnsDyl6dLWG9+tLLaNmiJeYy6eja9RqDKiNzu67j252/VzNAR6+NRbiQFxcfM8XWiRMnb3F9ICkwDjztT3v3H1Bj+uatyRrLioRH1Y+JJxgWhpl0GHgvd/dunDl7Tt0oaMPifgv9FqkvFsmLqzIMsP+OyKcoUjI2M+yVGbiTY4oDDzxh8Y3HGcG5Hh7qvsAZQa4VDAkOLvRglofryllcPLkXR3JTsH3LOmyMiUBkeDjWhK9GZPR6xCZsw9asA8g7LKrcBXkAb/4+F0Vwysex7XFIi16M8MX+CFzohwBfPwQtDseytelI3L4TB/ZvwPZNAZg/fTbGDhyPeS4jZJ8xGDFmFvqMXgm/yN3Yd/lHKowW7hBFDSZ7A8pe3U3CKlQJ6TjavVt3rBCiWBe/Ue1WTOhAr3LGmzp46Iimel+2YqV6ojP+OrMrHxD1kUH1NLDe0aPYv/+gxqvakpyC2LiNqkqGLpPfPSAIvv6BakAnGe4WNe+sSGC0ix0+clTIcYeuEQxdulI+1yEvb/ctC/CN/t8pYdniTuoc7V9ceOAJi2QV6O+PNi1bovw3ZTXjjd/ChVp+g852P57Elfx1SF8+E74T+mJ4v37oP2wixjjNwOzpozFtVB8M7jMAfYa6YNL8tViefBx559jyReB8GvbHzcXSyb0wukd39B4yCSOmOcNl2nDMHNEb/fuMxMARk0WlGIsF3uPRf7Qbeo31R9BKf8StcYbr0OHo22E6ZvptQuKZG2BYwHv30z9YKGow2RtQ9upu2rDKlMGjhUb3YUOGIFmIJn/PPo3oGREVrWm6mJqeGZ8Z2ZMp6JOSUrA1KVWlJzp5JiRu1iU1NJQzaera9fGIjo0T4kvQcs46bpFjkkW9o18VyY19Yaw1+lzxeCZcXbxkmUpdtFmZ1UDC6L9BTAY5GTDqbfFL5b+mztH+xYUHlrD44zH6AtNwdf7hB1UDmzVuAg93d+zatatwL7nhx5NxaPUo+Hb7Gg0/eRsffVoNFduNRB8Sz+wRmNGvATpVK41KX1ZBpQbD0MM9HkuyTuLAmTycSPVCxITG6Fn5K1Qq3xT1eztj/IIgBAk5zR3SEO2rlEelUl+hccNv0bZfN9Qa6odu89OwdtdOHNyxHBHjBmN8s/6Y7BGGlSeuIZ/9KeiWhV+JogaTvQFlr85MWEa0Bq4p5eJn7kfJiem4YoV8mPiUmZZ35eYpmewUAtuyNUUksDhdMsOcgdyPvlSx6zeIZLVBnUB3ZOeo9HTh4iXNb0gNgOc9e+6chobZlZeHuA0JQlRUFYNFwl+r7fN5NsPc/zslLNs6R+WEozpH+xcXHljCOiqieGREhC61qVS+POrUqqU2rO2ZmbfM6lzODUOGa12MLPs3vP/0C/j3R61Qe0IQ5sRvQnxCFDYEjoV3j4po++Wb+PyDSqjQcRqGr9yMVVsjEe3RDZPrfYrvPq6AL2uPQm+PWESlbcf29CgkBAzC5KalUfvNZ1DmvRfxcfUm+KCTLzr65WIjl3nkR2LDhMFwatIDE92XIfT4VeRKf+7dT/9goajBZG9A2av7GWGJSkjCOlSYl/CyPDc0lGcLOSWJZEQnUpILJSBmbWa0z7DVkUpQySnp2ClqYN7ufOTmySaf+0Q15FpAs42Lfn+UriilRa2NRYgQVUBQiKqYJDvGb79Q6IdF3O61EPbKiF/a37accFTnaP/iQokhLF40iYQptUg2R0QspnGRUtIJ+eT/x44d0/JjHPCyH7OH2L55CLooMPb6kEGD8H2VKhoqZuKECUhLTcWPN269uRd3RSLd6wdMbVoOdSq2RIM+C+GSeBCMgKWP1YH12OfbDrNqv4JyL72G9yu1RUvn+XDyn4mJnSqjxScf4POyXVB7ZDT8k0/igrT/440LOJuzAvFOjTCi/L9Q9tV/4LkPquKFGlPQaloMwlITkbU1EKFjRmB0W1E7vWMQffoauMDi3v30DxaKGky25YS9OnuERbcXc6RZ7s+UXCQu5vyj+8HSFWGaG5BGc84ebty0GVlZO9UrnckhqOLtP3BQ47Hvk43/HxAS5PeCTNCb1Q4238cXcxd4Y/HSZSrJHTl6zK5kZQvb6zDwS+W2dY7KCUd1jvYvLpQIwuIFc7FxdlaWztzNnzcPcz094e/nh6BFi7AoMBAB/v7w9fFR4zkjgEZHRiJf3j62ev05Ea2Tk5IwbuxYJauq332HUSNGYMOGDTpNbIurJ3bh0FYhl8ULscg/Asvj9yBbXmg3f4JzSTixqAPcar2Er597Fe+UaYCWE0Zi5Mzu6FTzY5R763N8WscJPyzIx3pzBOVTqTgQ1AsLmr+Oam/9E//8T2k8+2lnNOw2DZ5+s7EkaBImj5iIfv3kmpZnYPvFG1DTmIU7QlGDybacsFfniLDM8bAMkLTozEnnUXqcJ25NUmmLs4b0UOeyGUpgNMpvTNxcIIWJmrgqXJ6xleGaMIIZbpYsXS6EtwIrVq4Sslst0lkctmVkKlmZV13Y66+BOy23rXNUTjiqc7R/caFEEBYlK6pqjKNOd4M6NWtqSi1GUGCIYsZW5wxfw3r1UE1IiOWTRGJK2LjxlqgK165e1VAxs2bORMP69TVUTL8+fRAbE6NEZhc/iu5//SquXbmEKxfO4fzZUzh9SqS6Y4dx7HAe8uJ9EDG+CYbU+AqVv2qAum36Y9LsQZg1oS5aVHwTH733Lcp09MbQsDNIMq+LPZuD8zHjsbr/l2j++fN48flP8NKHzdGw3QhMmzUO3r5TMMXVH5O8tmDN1uM4JeLcvfvZHzwUNZjsDSh7dSSseV5eKPXpp/jd736H/zz3nBrd9+7ZU7hHwXHGJ6UfkgrdFji7R89zSl0krVVhq2+mm6eqSIJiRmZfv0BNcjp3gY86iAYuCpZ9IpAkz20+Zx9Fc1BfLlO/CKOvtuXEnZbb1jkqJxzVOdq/uFAiCItkQuN4m1at8MlHH+LNV1/VKeV33nwT77711s3Pt994Ay+98AI++fBD9BBii1yz5mbMKt40Slxz3N3RuEEDTcvVs3t3DXl8VETy28NhXN63GemxS7Fy4Rz4u47BtIFt0aNRbTRt3B1th3hjtk8I1oWMQvCwsmj65Yt446OaKNt3KSbFX0emOXzWxb24keSCTeMr4YevnsdrL32CN8r3QKsR/vAKXom1cdGI3ZKB9duOI//oVVy/d7/5A4miBpNtOWGvjtE9OSnzwTvvKGH94+mnMbB/f51RNmBr2DaDS2woGeXs2qX+Wgywx8/0bZlqoGdmG84wUmWkG0OCSGCcgdyZk6NmEFttwYC5r/bOfafltnWOyglHdY72Ly6UCMKinYoxqUqXKoVn//lPnZ356IMP8MVnn+GrL79EGdlKyf/vy4P0grz13nv7bXTq2BGrRX2khMW3HO0Mi4ODNfoC41p1bN8eS4QE6Wtlz871M/woktoJUeO2hiLcdyZcRvfCmG710bFWOVQtWxVVm41Gd9dYLI6Jw46VY7FiwBdo/Ol/8Oqn9VBhSBimbwayzELc5QNAphdSpn6P7mWfw5tvlMLbDSajy4JsrEw7jaMnzuLK1Su4LF2zyOq/R1GDyd6AsldHm2iwPEP16tTBKy++qP5YM6ZNw0FT+BaDsGzbNMpYT18pSkmUvAo2rpq4UlhW8L+5jM+vtmfTpgGjbWOzxZ2W29Y5Kicc1Tnav7hQIgiLBvVpU6fis48/xnPP/EtF8vp16+k6rqFDhmLQoEFKULRJvfn660pYPwghkbCYq41vp1UrV6JXjx667IZkRTuX+c34i7hxQdS4PBzPScDWmOUICxAJa/YQOPVshE61vkWd2u3QqLcrxrt6I8yrHxb0LIXan76EVz9rgG+HrcGsrUC22UR25aAw2AJsm1kdvco9i7fe+gJvN3VB95ATiN0rpyvczcLdQVGDyd6AsldHouGKCGZNmjVjBhbMm4dNCQn6UjT2NRPWrWV37xc12jVgPpe53MCdltvWOSonHNU52r+4UCII6+TJk3B1cUGFcuXw5muvo2K58mjfrgPGjhkL9zlz4OLqqguWmzRurJLXx7IxNEyYkFR2djaioqIwcMAATctF29eM6dM1kuhlByK2Y1zFj1fO4uyJwzh2IA97sxKQumo2loxtjIH1K6ByubqoXq8N+vdpiv7tSqPix6/ijU/q4NtBqzA1AdhuDlJ6WQhLJayq6PbNs3jzrdJ4t7k7ei85ififFtlbuEsoajDZG1CO6gy/KM4085PfSUjmzXwsN6P8bsDcrgFzmbncwJ2W29Y5Kicc1Tnav7hQIgjrlBCWhxAT7U60U5Uu9YUQT3UNntZRVLz27dqisS6rKa/1tGH1FmmKKh9tVEMHD1ay+uTDD9CwXl3M9fTAjsxMXLAzK3j7kAfz6jlcOLQR+6LHIGBAFTT54kN8/sHn+LZ2ZXxfpww+f/dVvPthNVTqHYJxMZeRbl6WeHGf2rA2jq2ADqWexRvvVMAnHb0xLPI8tpwq3MfCXUNRg8negCqqzh64ny1hGXBEWMZ+tvvfrXIDd1puW+eonHBU52j/4kKJIqzK336rBvYvP/9cyava99+jWtWquv7vq9Kl8bEQFcPWfvT++6oSzp45U10WKFV99vFHqFS+LNq0bIHxY0bDz2cBIlaHY+vWzdi1KwfHjhUYNW+9t5dx5dxxnDq4F4f2H8bBU5dw+pqtuiaS0oEAbJ3TFH0rvIZPX3sNb5f7Dh9X/hal3n4Npd4ti2/azEGfkMNIMEtO53bifNQYLOvxGRq896JIYqI6DlkG59SryLIfQsnCf4GiBpO9AVVUnSOYjzEfZ/vdgHlfc/3dKjdwp+W2dY7KCUd1jvYvLpQMwjpxQgmLNqpPP/5YvdL79e2HKU5TMG3adLVjtWndWgPuvf/Ou2p8/75yZbRv21ajhdLIXrN6NbRr3RKdOrYT0mqOZg3ro3njhlLWAgP69obnHHd1gzh+4nThWa8KM+Vg7+YAhDmPx+xJHpi9OB1rcm/g5C33X6S0M0uRtUDUwvL/xnsvvYIXyjXEJ7Waotqn76DKmx+i1PfD0WzWNoTnmQ48vQV7/TrDtd4bKP/qe0JyvdHKZQNWHPoRR6zgfRYs3BFKhg1LCIvuCJSmvixVCu2EiObNmy/SURJyduXpuq05czzwQ4eO+KbMV+riwI0Ofo3q10fvnj2F3CbD1Xk2Jowbg47t2qDqtxXx5acf4903X8VH776FWtWqao65des2aKgP4AJwPRHblwzAjEZfolapqqjQxhV9A3Yifvc5nL94ERcvnseF42k4kzgdq0ZVRtsyr+HDTyvhszaj0WLQOAxrUQVdS7+Pb0o3xbfd/DEzMhe7zzAe1hEcTPFB+PAa6FHmTZR6vybKtZuLCeE5yLxCuc6CBQt3ghJDWO5ubiIpfadG9UYNG2LGjJlYHxePnNzduqJ90aIglbqoKlJtfP7ZZ/HJRx+p8T04KAhJSUlITUkWQopFoL8fZk6fhqGDBqB1i6aoXKEcPv/4Q1SpVBFjR41DkhDh5atCWj9mID9yNOa1+hi1Xn8Zr3/QAN90cMN4v7WI3rQJmzeuQWzwFASOaIS+tb5A5TIVUbH5CHSaE4UF4VGInj8EXh3KovEXX+CL8u3QZJgX3JauQtjyBQie3hYDqn+KSh9+g6/rjkJXj61YlXMGhnxnwYKFX4+SQVgnTyphVSpfQR1GvxbJiSrguLHjMHeuFzw8RDoZP0ElLwZXo3T11uuvqwuDm4sLdufl6WyOMcNz7uxZtYvl5+chPn49PNxc0LRRfZT6+CORtKrD3dVFiDALV68cwoXc1Ujy6oXJLb9FvUo1ULVhX3QbOwdufn5YtHAmPMd2wpCWNdG0en00aD0c/d1isCj1BPJOHMWZ3DAke/eGU6sqaFilFmq1GYhuYybDaXwvjO9WEy2/r4Zq9fqh87Q18Es9g9wLou8XXrMFCxZ+PUoMYVElrCiEZRjVK5Qth9o1aqJRg0ZoWL+B/l+hXFm8/+676ofFCAycHVy/bp0Qz89jahu4cuUydu7MhsvsGahbszpKf/4pWjVviqBFATh69ABw8QBO7YjC5qX0u3LCzKmz4Tx3IXyDgxEa7INAL2d4zJiF2bN9MD8kHlHbjkE0xgLD/I0DOJ29Bokhs+EzfTymyLFTnefAw3UKPOT7VCc3zPSJxvKkg9gpx/xaJwsLFizcihJDWAVuDd8WujWUQrUqVVGvTl3UrlkL31WsqB7vJLKX//MfNbq3btlSF0UfsEkiaQ+cck5LTcHMaVNRo+p3+KrUp+jfpxe2padLLWWea8DVs7h86iAO52chOyNN9k9DRmY2cvIOYN/h0zh6+iLOXLiCyz8zmF/G1XOHcfLATuzJ3oasbenISM9Exo5cZOcfw4FTl3Hh7vkUWrDwUKNESVhcrPzhe++pqjegX3/MmuUMd3cPVQ1/6NgRlYXQXn/1VXwoxNWzWzfEx8UXtvDLuHL5MjZv2oTe3bvik/ffQcM6tRAdFV1Ya4PL53D+zBlctWbzLFgoUShRElbVypULjO4NGmDqlKmIiIzWQGgxMevg5uaO9u3aqdsDJS2GPA5aFIic7Gxdi8iFqwUr56/oinfGzjpx4riWEyxP2roVfXr2wAfvvKmS1pLFobLvGV1pz0wmZ06fwuWL53Hj2lVVMxm3++ixEzhx8rRmPFH8eAMXz5/DcWn/2PETmuSywC71Iy5dOI8Tx46KqnkMZ86ev7lG8MrlizglfeExjONlrB+jNzX7yL6elnOzjyxnn3lNLKctrsB/zLJ+WbBQIgiL6wEZ/4p+WGqfqlBBPdwnTZwEb28fLFjgg8mTnNCubTt8XboMPnjvXZT7qgxaNWuKnl07Y8LY0YiNidbBv317JtxcnNGrVy+MGDoYEWtWq9NoXu4uVQk//+QT/O2px1G9yneiUgZgU8JGzJ3jjr69emPwwAEF0R2OHsHBgwcQvCgAA/r2wcC+vfX//fv3iQrKRdaL1Lerr5zD39dH04UzsOCKFcsxbPAg9OvXD77e85G/OxfHpa3VYau0nH2iP9hOIdnjx48hKjICI4cP1XKX2YyGmqFEtT42FmNHjdTyqZMnYeOG+CLtdBYsPCwoMYTlNXeuxrp6+8038emHH2oyS/plMQ57u9Zt0Kp5C40cWuaLL/HeO2/jnTffUEnp7VdfRqWyX8PLYw727duL2LUxaNGkEV5++WWU+uRDOM+aifz83di0cSPat2mJZ595Bi/9+1/o1vkHrA4Pw/KlS9C+dQu8Jvt/+M5bGDt6JHJ2Zmsm6IH9+mgQt7dfexlDhcxIKDu2b1cifOf1V/G6HNO3Vw+kpqZiV04OJo4bqz5fr8ox3Tp1xNYtm7E7LxczpjrJNb2nfWrXqgU2xMdh7558JdYvP/tYyzmLuTY6Wq5hHxZ4eaFsmS+0vLpIggELF2peRQsWHnaUDMIStYcSFgnqo/c/0HWBzB/I+Fjt2rTRAH61qtdA+W++wYfvvq9S2Nelv0T92rXQqmkTkYD6qBTDqA1paamYPHE8WsmxPUT6WiaEdPjwYQ0QOHvmdHTp3Fn9s5aGLkbWjh1I3JSA6UIoPFfnDu3gv9AH+4U06CoxV0iwrZS3b91KSGSuRn/Yu3cPfBbMR4e2rbXOw90Nubm5KnnR/4tt8NzOs2YgOzsLhw8dQmhIsBIky6dNcdKIAEePHMbK5cvQs1sXLZ84fizSUlI0/HPE6tXo17unlg8XciSRUV20YOFhR4kgrLNnzsDTw6PQ0/0LtG7REtOnTUdQUDAC/AMwYcJEdGjXHt9VrIS3XnsdH7z7ruzTAr4+3jrISRZG+GMObBIX1TSqcPTJov2H0UgZG56zilT5Llw4r/aiy5cvqcrIqJKU0Gj/4qwi62hbYzlJiqRqLHKlRLhPylhHp1fuy3PQPsU2eG6GzGG4EpafPXtGSZDlPBdtWLR5MXDhgf37tZxBBg1S4qJtxmBiOQnv4j1Jo2/BQslHiSCsH4UEGB7ZIKwunbtg8eJQzTrCDLvMBTdVCKxls+ZKVjS69+rRU1SurYUtWLBg4WHAXSUslWREqqCkwOiN/LydjVKEi7OzujV89smnop61htdcL2zdmiyklafpjry85qFbly748vPPNB4WFz4zHhalJoKSDyUXc2ZcwlG50VdKR2aw3Nif/xsw9mfdLeWy2SsnjPIbNpl6fiq/1UHLUTn7aO++WdvDvXGM2XteHmTcVcKiascIjcx2M2/uXCz08YGfr++t28KFBVvh94Wyec6Zg66dOqPcN9/gi88/R93adTSfoNNkJ7i6umPq1GkYNHAQmjZujFKffapSFqM1DB4wQP232Ia5zVvOY3M+h+X26sz1t1uuW2Hdrz3ul475NXXm8jutM5cXVedbRJ3WG3WOyos65lfUmcvvtM5cXlRdUdfsqNy27nbvh7m8sM57/gJNmLFyxQrk5eUVjsAHH3eVsGjTcZo0CRXLl9eFyeW+/hoVypZVY7mx8Tsjixrl3Iexsxm//VM5hrGwSFwspwuDbmXKqKc7XRK4jvDN116Tz7c1lDLXFtJIz6283XPJxk+7dT/14+Ym34327NXdbMumjmWOjuN5HLbHcnt1sjk6zjgX683lRp3Rpv374bg9h30s3Iq65lvquP8vteegzlE/9Jiydo4x6niMo+MclOt57NQV1X/jOG4/u+bC4xy156jOaM/euYzNXM6N44QhxTkpxYTBDwvuKmFx1o1JIJ589FHNOvLkY4/p/3/8/e91+9Mf/qBlTz/xhH7yO/O/PSqf//zrX/Dqiy/hvbcLFjb/+5ln9Ng/yXH8fOZvf8OLz/9btuc1UcVf//y0tvHnxx/HX596Ck8/+QQe/+MfdX+e69FH/oAn/vQnPCX7PCX78H/jfKznd/aDdY898khBH6WObTz9xJP4y5NPyXkL+yh1/GQd+8LzPi7Hs98F7clxbO9JOU768sSffrrmR6Vt9vEvTz15y7nYT7b31OMF18A2H5PvRj8e/YMcJ/1je7wGvS4p5yeP4TWznsfcvGb2kdcs7bHNW6/5f/GE9J3Xxnr2yziX0Xdu3EevS+qMa2YZ7wXbM66Z52Q5+8FrYxvanmy8Rp6f7bHvjz0iffwD2yu8Zin78+MFz4DeD/ZPNv6v917aZJ3Rnp5L7in7zfvP/YxrZh/ZL94LHss+aV1hH9kO+8FP47fkZtwLPgNPPCrXVXg/eIzR/78U9v+n37mgvb/++c/apvn34jEF1/XTb8m29DfRa5bfhM8b29NzFVwz69gW7yGvw+ifXpf0kfvzU6+5sP+8j/9Xxtf/kY1uPszd+bDgrhJWzs6d6N+3L15+4QW90S88+6xmH6GPEzf+T8J58d//1v8ZmYHlXPD82ssvqc8TQ8dwrSA/mT3n1ZdelH3/o9vrr7ysaw3p1vD2G2/qsWzvheeexUsvPK/feQw/X/7PC3Ke53Tj+sPX9BxyLjkvv78kx7GfWiflWif7sJz9Zh+5r9FH9pd13MzXVNCenEvI9D9yDPvxihAvfbRYz/b/I33gxv+N9vg/+8a+8xrYzi1tSt/YB+Neabn0z2iv4Jpf0HK9ZtbJd/bBOKbgvv7UR/aN57K9Zr2HvGb2Q74b9/AV2Y/X+7NjCtsreIHIdWk/Cq75VdnYL+b048Y29Jpl42/Ia2b/b7mPck62qedi/wvrbt57aYNlel2F/WAd99FzFR7DPt68Zvnkd9Yb7em52J78z74zA1PBc1Pw7N08l7T3kmy8LuN3YXvaFs/FOrl+lus1s07Owfa0j7Z9LzyGxxv94znZdsFzI8fJp/k49p1lt9ynm9f8PP7+l6eVbBmld2loaOEIfPBxVwmLxnN/0a/pcvC1qHDfViiP9iKyMnAeQxmTzOrXqaNxqVo1b65lrBs8cCBaNmuKqt9WQo3vq6Bt61bo368vRg4fjuFDh6Jrp06oUbWKerczYN/QIUPk2JF6XN1atVD6889QrUplTZo6Ydw4TVjRrUtn2bcealWvhiYNG6rBntEd2B5tX61bNEfN77/X9tiv0aNGYcSwYRpimeepWPYbdGjbVsvHyMa2uRyIOQ95fb26d7/Z3sB+/dC8SRM5piwqy7V1/uEHjBszRq+ve9cuqCLXVbZMae3HkEGDMVbqeM6WzZpov2vXqKH3aYC0w2PYZpdOP+D7776TvnylbTMD8SjZ+vXujepyL0qX+kwTzg6Saxkv18y+MzZY4wb1Ubt6dT1XV/k+TNpie2y7WeNG+L7yd2jaqBGGSN+Na27WuDG+kf4Zfef1sh88V7tWrdCkUUP9vbp363bzmvn7NGpQT9T50qj63bfo2b2bXjPvfSeRsitXrKD3sGWzZjfP1a9Pb7Rs2lR+46qoI9fctnXrgmsu/J07tmuHb8tTzf1afdzYHq+b975xwwaoWe17/Q2GDBqk95Dtdpfflb8JnY7r1a6l/ed94nX1leMa1Kur/WP/2Tf2g8fz2Sj39VfyDFTV34jXy+dtgPwuPHctOVe1ypXRiv2X/UdIHftRp1ZNfPVlKb2Gfn37FFyz1LHv/C2ryf3l8Xw2Rwwbjr5yD/lssz3+zny2metw5IiCa27dsrn0owwqlSurmaHGjx2r/e/Vo7v2sa6cj88h+8ByfrK/dWrWQHnp/w8d2iMm2sGa2AcQd5WwOGuRt2sXgkVE7durJ3p06QRf7wWFDpd7kZ6ert7dQwb2V6fMjIxt6mu0UySz4KBFGDtKBuuQQbp8JW79ek2MyuO4VGXMyBHqJT5l0kTNiMNyLnHhkpa2Uj6gXx9ERkbcPNeGuDjM85orD8BoTJ08GUvkLUTnUeO4RQEBMlCGqSMnQyeznDY4OpT2kYelmxDGgnle6uTJ8vT0NCxbsgTubq7wdHfHqhUr1Bueacx3bN8BP18fud7O6ggaEhxU4L8lG5fVcJlNpw7tMEWX2WzQa2a7wUGB2r+R0g/eD/aZ7bEvsWujddlOp/bt9J7xHvG4tNRUOMk94DVzoPPesDxfrjs+br32eby8BLjP0iWhehzb45IlOr8OGTQAs2fOQEpKivaPx/ov9BUC7oq+PXuoV32m3CfjXCuWLYWHmxvmyHWvWL5M69jHzMwMeHq4a3TXPj27I2zVSj2GbUZHREjfhqrjLlcabJT7u1t+S97DEHk2uCJg5LCheh8T5H7oNctx4WFhuhSqc8f2mmKL16T9kN/be8E8TJowDvPmeuoxfDbosMv7OX/uXAwdNFDaHIIQeY6M54YrEFycZ2OQEATvL00WPA81gfnSTm/5nelEzGMy5bfks8PrW7Fsma54YL2bHJ9e+LwxugcDQzIE9+AB/bB2bczNa16zOlwdlvn8zp0zR/uVm7NL+8Bne8LYMVI3WJ/tzYmJN695cUiQPjN8dtgP9oFtbt6cKM+vJ6Y6TYLvggXyjEp7cr25u3L1fzos07mYY4YrJx4W3FXCIuhTxWUqc+VhHic3c8WyJbp410BqShIC/RYqMezK2anTswSdP6Mi1mD2jGlwd3VG0tYtWk7QcZI/5rDBA3UJDpOjGkhJTlLSmj5lsh7PNXoEXQQYByswwB8uMmjWhIerk6gBEob3/Hk6WEmyBg4fOogli0OkPSd4y+DP2MYQNAWgQ+q62LXw8/GW9sJw+tRP6W/YnrMQAdc1sh/GNdNhdf26WO2Dq/QzTv6/eLHAEZTrFdnO9KlT5AF0veVcdDZdGhqiawlDghfdvC6C6x/pST97xnT1gj91qiBdz9VrV2VQbtd1jPTqXxtz65s3actmGfAeOoDoyGogf3ee3l8uIeILhsuPDBw/dhTRkZHwkTajoiLkun5aIsQEH7zvThPG6zUaC83prMu1nS6zZ8JdyJZEyul34tCBA0L2y/XFwzWcJA8DvL+L5PdimyQNOusa4LPCpCJ8GSTIS4BOt8SN69exTQiF55k0fiwi16zWcgN8YZCcVixdgiOHDxeWQl5aWbo+dOb0Kbq6gYvoDXC1Acu4BMt3wfxb+sFrcZo0Qe7VFF0lYTj10mk4cdNG+Mz3wgIhUEYGKVwVr78zn6lJ48cJEc9VojKwd28+FvoswGwhQvb95MkTWk4XGfaRKzj425CkjHtPN4akLVswa/pUIf8xQpZhmgH9xl3MjVhScdcJi+AC3nB5486SH8FzjpvebONHP3PmNDbJdz9fbyzyXyhvr1Qt54/At5iXEB3fXnxQ+OAo5Mfjg8dBOlN+JKaoPyQPAcGBvTE+Xt+E02Rw87zGQ0Qy5AJjPmAk0NxdOVpO8FxhK1fIw+KtDwoHLZNh8kHhAxUkA2f0iGFKJFw4TbBum0gJc1xdlHxSkn5yXOXi55UyECm9kBR4zQah0Xueb+DxY0ZpX7bI25O4ceO6kiqva+hgedMLMfH+ENeljvdmsTysXAoUEx2lpE4wsScJgou5p0yciOioSO07cf78OR2cfNtT6juwv+AYgsuNKAn5ywsjUkiV6xwJ+nnxfx8hcA5SSmmHDxekAOI1c/C5Os+Cl1xXVtYOLScO7N+nEhjJWK9ZiaQgOSN/7+VLl6okNU0IaLsQOkGC4eoEkhIlSPrSnS8kH/5elOqMayZRGlmXSXhM3TZfpETee5KFgePHjinRjROpaJ6nhy6JMu4HpS2+FPiSjFy9Wu8Bwfa43xw3F7n3AxEg9WcL7z2fRZIAJePpTpOxRSQi48XK54ZLqn665g03X4QX5N6vlvs7efx4IUkPeY72ajnvL58HJ/lN+EKLkd/LSEFHEmKsthCRtr2F7KIi19x87q9evYLkpCS4yQuchGyMFYISGomOz9R8kcQYHpwRPx50FAthUTWk+B0aEiI6/qiCiANCKhygxJ783frjUJxdHBJ880bzIaI6wTRd40aP0rcs1QKCEkGk/JgciKwLW7Xi5luWYVj4wPXv3UtFaEoqjH9FZMsAWyjkSFLg4CL5sI5vJKo1fND5tlwsb26DBAmqZyQsqq8kIr79OXgPUQKT66I0QtKlKkHS5AOtb20ZbKNlIFJC41vQAFUyPrAU/3kcJSa2R/LhtfA+TZwwVgmFREBQckreulXViFkiTZGkKEURJKJ5np7oJ2ocBw8lEN53ggOAkhIfcpIyF39zEPKaKT1xSdM0uU9c+M2lRQTrKRlSpSHJkOhJwgQHOd/ylNp4v7Znbldp6vKly7pQnFIqo1Gwj2YpcatcP1V5LhBnDkn+TrxmLkPiufk7U9IimRvnOnP6DBITElRq5guPLzcD/A24XpPExN+U13XxwkVcF2l6y2aRHoWsWEf1jy8WXhMXjVP6ZZ3TxAn6QuOyLIJkwX7wN2Zf4tbH3uwHJdUAua7x8qzx/nLxPKXmK/KM5opETlLni5X3mGnkDFDamyNl/P2jhHCpDRS8jPfomlKqhtOEBKPl/nLpF0GJlL/t9GlT9DlNFUI3wJcnxwqPC14UKN/z9ZounL9QEGlEXsRUX708C0wsDzqKhbD4UPKBpo1nyuSJagugxHTkSIFIzrV4K5Yv1QE8V240fyC+ZZUQ5AdmFAWKz+NGj1bHOK4T5GDk2kCqi107dVRJy3hb8g3GH5wPP21Cy5aE6kPFB5n92CEPX1BgANxcZuvbkarBNTmG8ag4MElMTtLPrSY1NE8kDg4O2k1oQ2L7XB9IYmLblAJIjlQr2f6NwmtmhAYOmgF9egsJChkXSlmUWELkgePDxYEfv36dvkn5MFMNXblimQzu4UpcfJhvXC9Yz3hU+qr9kHsVujhY1yIS7DslEL4MOBB5PG0cbI/3ksRB6ZGDjdICiZHt8TgOUtp7aF8iaRtQFVqIf7KoeIx7T/sY+8+BSjWfLwWqXSRDSqRKCFLHe0ObFe1IJFw6EBMcbOw7BxslYNoljTWWVJP4sqKaz9+MEjTBNikVUcLitZFwjYHNvlOyoqrO34S/JftF8Pq2CmlNlt+Ltp1FAX76ImR7lPhJtLxmLyEuQ9Lm87ZDXiS8roJrdtY+UkLnubKE3EmctGl6uLnqS5PH8FnkM8qF6fw9Y6Ijb750Txw/oVIXww75ensjTu4hXwp8Se4XqYjkPrBfX3lWJ9wkJvaRzxAl2FkzpqmaT6mcoKpJ6YykxXu4Ul66fO55DF9AVFFHj+BkQW9d6M/78CCjWAjLAG/6ktAQjJI3Nt9UtF3slgedDzkHFOOqT5FBT7VrszyIht2HC4j55iDR8a3DfflWJFlQpx8ycACGiSRAyYcPNwfiHnnzRKwJV8P2uDEjNWaVoQ7xuLh161QCoLTCt6Bhb6GKQwPmGJH2aNjlm5kPCX94qjG+InbzwSRBUmLgg0IipBQwYXyBIXWVDCpDYiIpU7wfPXyYDgKqI7we2q0y5Q3IwUFjvyF1su8EBx7td716dNO3Nm07fPMyDhZVSF+f+dI/LxlQ65S4r4mkxQd3dViYnockSSIiIRAccIz6wPvH6yIZGapymqgPHJwkEtpq+GLh/pQUqXZxUA8e0F8JLSM9Xa+LJEO7FImJ10a1hueSKjUUkxAoTVFyixIpmfeB/ec1LxSCowSmUqfppcB7TYmZRntKLLki/VJq5nEc9CRcbnEyKCnZsg9HhPhJ9pRSVNIWlZL7EyQGlbRl8DL6RXzcOn0BXpZ7SEO3u6h/vFeLhEQpQfG50N9Zrpn3fGD/PvosGnY1PiPGJAwlT4YuonRIZGdliWrtW6A2irRN+x6fAb5ouFyM98dl5kw1mHNfA1wJwn7zhRbg56cvP957HsuEKfw9SGpUr6nq8pp5TpoEOFkxQSRBVSkLpUSqzAxHxFBIVLN5rw7KNfM3exBRrITFwUiD9hL50VX8l0FKozVVP9pa+MDOkAE1eEBflYCMtwofFEoFfLgoxdDGRHWNx/HtGCSSCiUivmWZ1os/ON96dKugwbmvvGH5EPHtaYCqUFBgoNp1qGbwYaCdg4OUDzMJkoOHA4+SAYmJ7fIhpa2FpEUCMEiVBOM1d44+fBwkVD1ZxweMJMqZ0lEiuU2VgUWpgOdie1sSNxWqST31vhjtUeqklMQ+UBWilGW80fkmTeFkhUgNfvJAk8BImrxmEjVn8DjDR9uaIXXyOM7KUUVdFOgv17hJH3xtT+4z1Qm+sWlToSGbESx4zbz3lJJIMJRwSfSGqknyIeHzd6GKmC1qP/vPer6IeG8pMdEYzJeMcQ/5m3M2bpBIFpERq6W8gKQp6XImk+RNSTBaBj1fMjyOEosStUgpC6VdqrkEJzF4jez7oP59Vb0127nSUlKVoCeL1EkDd1LSViUm2gY5G0y7X8Fk0NKbUj2fRRrFacvi88bfi9fE55eTOiQzEiCfDRI46/gCyuEzIBoCycLFedZNac+w09HYT2mQ/xsvJtrA+Lvzmp1nzVJyZ/gjPjd8Bihp0jYWIGSYXTgRwDpKwjOk78Olj6Eh8nsVaitUa1OSkpXwKf1SSkuRFxLv4YOIYiUsgjebdiPaMLxFzN8kD4Px45EsaFOg4TMiPPymKkHk5OxUwzAfLIrEVJv4QFJ/p7RAkZw2gcRNm24aMAkOzLkiIXB2ME9UJAMkKBp0OVApOfEtyL4Rp08VDOAA/4VKGmZDNcmHg5MqCs9lSGZUU9gvRiilCE8i5eA0wLdqgLzJOXhoEDVw9PARtZeRXNatXXuTsHhtvC4OWkqOlL6MgUicOctZqASEha3U67h+vaDvvAYSAmfcqArvN/WdNp9tQhwkZNpxaEMy7v2pkyfk/DF6XeEitZpnISl98AUS6O+P1ORkuecFfaQKy/tENY3H5soANe4HQaOwj1wvZ1HNUgUlMJI6B/fmzZtu3ndeO695rUgPK5fzmuNUIjJACW6dqFQ8n3nm8vy580roVMc5AcMBb4Ahr+l+QBeMpUsW60uR95agukaJlERCddr83NB1gTaiJaJ2k2x5XRz0JHI+U5SiaT4gSRvXzHratkjifN748jDAFywlwdgYuU/y0ibREnxGSGyUkvh7xcfF3ZTaCKrKJHWOC/MaQf52nOmmBEYVXE0DhVLUuTNnldA5Hrgx0KQlYf0X4BuJ0g9/UNoTjJvJTz4QfGOqXanwQSb4UPCB5cPI0Md8uI3j+D9/MM6asT1KGwYoPXCAUDoxYmQR165eE9XhnL7FqAbwrXuzHzd+VOmOx/CBMQ9CzgBxEPHNSJIyBjz7SimA/WZf+JY26gi2QeJjX3hOAzyO7fGazQRC8BheK9vktZujjFJCYzu0hfG85geSqhDPw0Fi7vtVuWbeA+7PlwHtKMZxHGw8jtLkIflteD8McFDxPrD/vC83r1kGHb9zgPEFQAnF3H9+p3GZbRpqGsHfv+Be7NZ7ePO+yyclBPaD10XSNAicYNt8sbB/fLkZoOsMz8+ZMvblsukYRsYgEfEekvDZ35vXLOoaSZfGehrXzX2nKkpViveQEu3Na5bfi/eOzynPxWfHfBzb50uNar/5hcX7SRcF/o78DdhnouCaL+nvzOeA18H7Y4DkyhcNx8stz6/0g32nOYD3yZhUItgmnz+2x/vM/j+ouCeEZcGCBQt3AxZhWbBg4b6BRVgWLFi4b2ARlgULFu4bWIRlwYKF+wYWYVmwYOG+gUVYFixYuG9gEZYFCxbuG1iEZcGChfsGFmFZsGDhvoFFWBYsWLhPAPx/1vJxk1HoVb4AAAAASUVORK5CYII=)
An inclined plane makes an angles with the horizontal. A groove OA=5m cut in the plane makes an angle with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is
An inclined plane makes an angles with the horizontal. A groove OA=5m cut in the plane makes an angle with OX. A short smooth cylinder is free to slide down the influence of gravity. The time taken by the cylinder to reach from A to O is
The general value of
satisfies the equation
is
The general value of
satisfies the equation
is
A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?
A block of weight W is suspended by a string of fixed length. The ends of the string are held at various positions as shown in the figures below. In which case, if any, is the magnitude of the tension along the string largest?
If
then the general solution of x=
If
then the general solution of x=
An ideal string is passing over a smooth pulley as shown. Two blocks and are connected at the ends of the string. If = 1 kg and tension in the string is 10 N, mass m2 is equal to ![open parentheses straight g equals 10 straight m divided by straight s squared close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
An ideal string is passing over a smooth pulley as shown. Two blocks and are connected at the ends of the string. If = 1 kg and tension in the string is 10 N, mass m2 is equal to ![open parentheses straight g equals 10 straight m divided by straight s squared close parentheses](data:image/png;base64,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)
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3FQ8WOHRtxYv4PrZo1xeVLl0x3J/Ir3IHi2wJGqYddXNXwODsvgWL+k1FA8TgEavyECZISw4zJzFmyIKsp4P5JwZNYwcQh6jQWganSpJV1VokSq89pBChmXZ48fiJU3okmHkp9L3ooZlL0Up6ZzSUJ4seHVfw4aNeqBa5cvmy6O5Ff4Q7UrZs30aVTJ9gkTaqC4FSS0E+g6A2MiKEIE4/DYVcsTjlhBiFhbJQ5S1aJl+iFUiiPxCKPcRUDcQKVVHmszFmzwb17d8nJ4rB2I4BicwhjqAXz56NbNxcZv5fIKiESJ4iHtq2aK6C0h/pm3bxxA+1at0Lc2LGQIEECmS7HZ4mPYbU8No7SNm/ehAnKSzFpL1mKFEhglUhmVsmjAvV8+fKruCoXsih4MmfNKrAx1iJ4rCiMGDFCPAohDy1QUstT32unAlQGhLZtJ53ESRInQpKE8TVQodWtWzfRuWN7xI8TGzFjxpSZTBYuWGgYUASAxuJz08aN6D9ggMztRC9EoLLnyIk8ufPAzi47MilvZZs5M9JnyKhiLDvJyfLw6CFT+PBY9HSGAKUqCZxiiAMXGjdpKhOjWSdJDGurBBqo0Or2rVuqyOuAeMpDfffdd9IVMXv27IBgOrQP0GwEisdavWoVhg4bJvMP8EESIgKURsVNqVKnkaKOk104OTWS7ZYtXSbFHfcNbUBO4zHYC8BBC5z0gy3lbA+ztk6CpIkSaqBCKwLVVQEVXwHFajOHTXl5eQV4FSMeIs0MBL0M02ImeU9Cx46dpMefqbiOjlVRVS3r1K2LLl26ytxPMjWQKi6NBJvXwDY25kQNHDhQFanlpZKQJJGVBsoIEahuCqiEcWMLUJxVZdDgwfIw+QBCm20Q2AJDygEDrLZzcjDOQ0BjkLxo4SKsWrlSoDNvz2sI6njfYjwWi3MmD7q6uiFvvnxImTIlEqmAPGmiBLqWF1qZgWIN58cff5B88q7dumHRokVS1BgRt3xqBIpe59jRI/JwT9JO+C/5f3NTg1HeMbARKHqodevWoWXL1kibLh0SK+9kFS+OBsoICVCdO8jNjKMC8xy5cqFR48ZS7DHOYABr9IMloHyw9D4ElvCYjf83eyWjQebx+F14DvYG1KtXHzbJkiFB/HgKqNiw0UCFXgTKRQFlkzgh4iqgMmTMiPIVKmDQoMFS7IR2kEJEMn4PArVT1fAmT54sWQbW1klhpbxzIg2UMfIHqiOSKaDixY6JZOoXmzNXbpm2Z70qFpiMFhWAoneiB+RyhYrd+vXrJzXaDKqGmSJZUnm3sU2i+Bqo0Mq/yOuI5NZWSBAnJqysEiJFqlSop6r1CxcswKED/nMtGV38hLfx+qVhVH328vKW+dMrVa6CkiVLwi6LrXgo64RxNVChlRmoFEkTqTgiFhJZJUASa2vJjWKxt37d+oC4I6gHFRnMHDux/Ym1V3a3lCpdFvWdGqFTp04oV7okrNSPKZH6/hqoUCowUInjx0Yy68TSyGebJYvM8MtfM3vmjej2sJTRw9I4t9XUqVNhb++AnLnzwqNXb8mJatqoobz2n9ZWAxU6fQpU6p9skDyZDZImTSrvVunatZvEUuYZTIyu8YWHcVpretgli33QqXMXiRGLFCuGefMXyFTVbDaJF/N7xP3hOw1UaPUvUIkFqDTJkyF1chvYJE0imQAc9MkmBNb4+Ctn6kdQDy0iGj0qjT8Gdi4PG+Ypb8ViPyEHPhw+fARXr1xGd5euiPvjd4j9vxgaqNDqU6BSJUuCtAqo/HlySdFQrWZNODdrBq+JE+Wh8OHQS0WG4o9eie1oe3bvwcyZs2SCjLSqVldcBeIcNvX48WPcunkDrl06aaCMUuAijzWdZIkTCFBO9eti9OgxaNexI4qXKCkTtvr4+MiDoqeK6EUfgSdMLKbnq6KNgzqz2vm/cpbF3qlTp2XED9N3OndohziquNNAGaBPgUoSP44q9mzQw90VB/gwFi6UXPOSpUtL3xehYnsOPVVE9VIE/ugR/5hv5fIVAlDufPmRRQHFYfa+vhvw6tVr+f7Xr11D+7atNVBG6b9AxUKiuLFUYJ4U/fv0wp3bt3Fd/YL54h8mupUuUxY9e/aSAQP0UObaU0QBi9fB62JRd+jgASxfvhw9e/REyVKl5QWOzs1bYOPGTZJHb9a1q1fRvk0rDZRRCgqoVMms0aenB548eYwPHz/i6NFj6ObiJpkInE6Q0zJz8ntzjBJRoOJ1SOoyPdPKFXB3d5cRLXnz55dJWteq2irf/BlY165e0UAZqc8B5eHmgkeP/Idm//XX31JMdOjQEcVUPMW3aHL4EUfHMCPB3MlrCbACvJK6Bl4H28z4ZirOW1CuQgV5g0KLVq2wYeNGeQHSp9JAGazPAeWuqtIPAr0g+tGj37Bx0yZ55T3jKdaU2qhAl/Ms7VUPljFVWGQmfM14PsZ07MTmBB8zZ8xEa+WN2M7EygQnZt20eROePA16ZhUNlMH6HFDdXbvh/r17pq38xVeEMbnfo0cPeZEQp2Zu0aIFxo0bJ0lxbFagp+IDNjeCGu2xAsdJ5vMwe4BD1ceNH48mTZqicBEFU8lS6OHRA3vV9m/ffn52Og2UwQoJUBQDWtb+hg0fDntHR+TLX0ACdk7axYxLFoH0VHzgRkNlholFK89B2759u7QxdVOek/NbcRRNpcr28v7ho0eO4o+vzFOggTJYIQWKYvvNuXPnMH7iRFSvUVPeJcxc9KbOzjJFDvvH1quaIMe+ESpOn8Ng2Vws0rMQOHPcQ0DMxhxy/s3sgbg992MWJ5dcR2jZaT13zhwZRdPQqZG8IYGvqmXj5dhx4+X6giMNlMH6FqAoTnLK6W+WLluGzl27yms8OPsd4xa2rHt6emL+vHnSxLBXFYUE4VN46G0+Z4G3M+/HGGnDhg0yaHTw4CFo2tQZhVWxy/MyO6KbiytWrFgpTR1vgzkJqwbKYH0rUGb9rorAXepBDx85CvUbOsmYO47EZa4RR7Rwuhx39+745ZdfMF7FOHwz1Ly582Rq55Xq4TO3m4NAmW7MkShML1mj4qGlS5fKLDCcq2rihInyvpnuKiZi9b92nTooW7YciqhYiSA5NW6CEer8u3fvCbIm9yVpoAxWaIGiXr95g7tq252qiBs1egwaNWkitaxs2XMoyy5FIjtlOUSK859zmBQbSAcOHIThw0fIiOIpU6Zg0qRJGDNmjBSbvXv3lriIXT5Mo+H+nK6RHbs0Fm8NFMCjx4zFnr2/4v6DB3jzOuSv2NBAGSwjgDKL7/Q9f/48lq9YgeEjRsLVzV0m0ufr+GvWrq3irVryMkeOv3OsWk1yuh0cHGGvrIqDA6rY26OyyeSzCrLl/2rJbfjGc4707drNBSPU8ZcuW47zFy5ITPet0kAZLCOBovhw+TIe1gbvqf3Pnj2L7apaz9yjkaNGw6NHT7Rt3x6NVTHFALpSpcrSpsWpfn4uVFiKzCoKHnqlps7N0LFTJ/RTgfekyZOxes0aCcw5ST+LNp4nNDBRGiiDZTRQQYmTmt25cwenTp+WdqHNW7YIHEt8fKRGyAljJ3p5yzv6+DKf+Sp2WrZ8uYqv1mPb9u3wUxBduXJFXh/yz8ePpqMaIw2UwQoPoAKLsw5//OejzI3OfkJ6GBpf10oz/5/raWH9dgMNlMEKb6AimjRQBksDpYEyVBooDZSh0kBpoAyVBkoDZag0UBooQ6WB0kAZKg2UBspQaaA0UIZKA6WBMlQaKA2UodJAaaAMlQZKA2WoNFAaKEOlgdJAGSoNlAbKUGmgNFCGSgOlgTJUGigNlKHSQGmgDJUGSgNlqDRQGihDpYHSQBkqDZQGylBpoDRQhkoDpYEyVBooDZSh0kBpoAyVBkoDZag0UBooQ6WB0kAZKg2UBspQaaA0UIZKA6WBMlQaKA2UodJAaaAMlQZKA2WoNFAaKEOlgdJAGSoNlAbKUGmgNFCGSgOlgTJUGigNlKHSQGmgDJUGSgNlqDRQGihDpYHSQBkqDZQGylBpoDRQhkoDpYEyVBooDZSh0kBpoAyVBkoDZag0UBooQ6WB0kAZKg2UBspQaaA0UIZKA6WBMlQaKA2UodJAaaAMlQZKA2WoNFAaKEOlgdJAGSoNlAbKUGmgNFCGSgOlgTJUGigNlKHSQGmgDFV0B+rmjevo0LZ1AFDtWrfE9WvXTGsjvzRQ4awH9++hc4d2AlOs72OgY7s2uHf3rmlt5JcGKoT68OED/v77b7x+/RovX75U9ofJ+PnL9urVK5w+dRKtmzsj7o/fi5dq2awpTp44IeuC2ufr9u+5eYy//voLHz9+NF1t+EsDFUI9f/47zp45jR3btmLtmlVYtWI5Vq9aiTVfsbVrVmPD+nWYPmUSqjlUVt89tnz3qlUqYerkSbJundomqH2/ZOZzc+m7bi2OHzuKP/74w3S14S8NVAh1Q8VAPosXoreHO1o0bYz6dWqifu2aaFC3FhrU+bw51a+Dpk4NUE0BlCNLJlip720VJyZyZM4kUHEdtwlq38+a6ZyN6tdV+9ZFC+fGmOLthTu3b5muNvylgQqhzp09g9EjPFHNvhLyZM+KTOlSI0uGtMiaKT2yZkz3eVPr7WwzwFZtn/qnpEiWOKGyBPKZf+O6bF87xqdm2p77ZUqbSo7RtVMHXDh/znS14S8NVAh16uQJDOjbG4UL5EVG9RCLFsyPxg3qiYdp0rD+V43bNWvipLxJEzF+Du6+nxr3o4cqXbwI0qX8CcmtE6F5k0YSp1lKGqgQigF0v969kDenHXIrD9W3Vw8cPXIYJ44fw4ljXzbGNyeOH5cHfvb0aYnF+Jl/47rjQezzRVPn3LN7F4YMHIASRQuJp2vTohnOnD5lutrwlwYqhDp18qTyUH0EqKKFCmDBvLmmNZYRa3TLly1FreqOyJsjGzq1byugWkoaqBAqMFBFVHE3Z9ZM0xrL6M8//8SSRQtRo6q9xHRs19JARUKg8uXKjsI/58P0qVOkbcpS+v333zF/7hxpishtl0UDpYEKnTRQGihDpYGKBkAxUH739p1a/vt3dtf8/vszPH3yRLptAuv9+/d48eIFnqh1XL5/98605uvSQEUDoAjF9atXce/eXQGJdk39f/OmjdJVc+jAATz//blpa+DRw4fYs2sXVqja2tbNm3Dj+jUFWfCg0kBFA6CuXbmC5T4+WLxoPvb/uhenTp3Azh07MHf2LIwa7gnvCROw0ddXWrRv3riBI36H4LNoEcaMHAHPIYPVdjPhd+ggnj59indf8VYaqGgA1JHDfujXuyeaNKyHHm4uapvJWL92LXZs3yYPv3eP7vLgfxk0UNqx1q9dje1bt4LtSf379EKr5k3Rv28v8Va/PXpkOmrQ0kBFA6DY6s0W9PKlSqBqlYoYOnggDh08KN+PreEjPIeiZjUH1K7miIH9+2Lrlk24efMGrijPtsxnCVy6dIJz44YYPWI4zp09azpq0NJARQOgmJEwa8Z06eOrU7M6pnhPVAH3Yym+GHivWrkCHdu3Qe3qVZWXGoAL584FxFoPHzzABt916n50Rc/ubji4f5/pqEFLAxUNgHqoiqm1q1ejc/t2aNqooSrW5gTU+AjN3r17pEhzqlcHI5W3+vR7X1dBuefQwXDt2hm7d+00/TVoaaCiAVAPlJdZtUJ5obZt0MSpgXrgs5V3eivr3rx5g107d6Bv7x4BQN29c0fWmXX16hUMHzYE7i5dpPM3sNgkwfP9888/8v/nz59LHKaBisJA3b9/HyuWLUOHNq0FqHlzZinP9JesY5oug/PePbsHAMV7EliXL18SD8V7sjcQUEzvfaCOzSKVwTqhevXylapNLtBARQeg2rduhcYN6yugZgYJVMO6tTFi2C//D6grVy77A+XWDftU8UivxE7gW7duSmrK/n2/Sk3y8W+/CWD+HqqKpNNooKIyUK1aSmou25Xevv1b1pmB6tXDXZLjhg8d8v+AunbtqgJqCHq4u6ra4QH88eJFQO6TP1D7JP983697cUAF7d4TJ6C6oz3y5bSLfkDxF8Vg81OgePP4i4voCg5Qd+/ehc/ixWjbsoV4KAL1559vZB1Hp2zdsll9X5cAD8XGTbP+VDHW4UOHVNDeW+7J3j27cevmTWza4CttVWx9P3b0KGZOnyaeafXKlRg1YjhqKKDy584R/YBiN4Nbty4ClFXcmJKoT6BYRWY/V0RXcIC6c/s2lixahC4d28sDXrxwgXTHUByRsmXTRvTp6YE2LZth4vhxUqujGBNx0KfPksXwcHOVxtGNG9bj/LmzOLh/Py5euChAHlCfR48cgdkzZ6j1vpgwbqwAxWuKNECxlvJcVVHZTkIvE1Ljfgwkjx05LMOvU9okRpIEcZAkfhwBqpO6ESePH5dtQnKO+/fvyUBJere/VJwR1goOULwW9s3xgTMBj90vBIFix/Dxo0eweMF8zJg2Rfr3Hjy4L+sI1NUrV7Bu7RrMnDZNEudYpN26eQNPHj/Gs6fPpDhcuWIZvCaMw5bNm+R6eB4ClSdHtsgD1GP1hfbs2olF6kawGsy2Fbpc/+XXjTdwmfrlTRw3BtXtKyugksAmUQIxjvxgy7H3hPFqmyXqHPOCPMZ/bS4WKmMNapZy/+vVQ+CND2sFByi2NdHb0lOxSeD3Z88ko4Diti9UVZ8/Ag53evxY/RBU7c0sgsdYksXcfVW8sT+PTQ3cj3/jWMBpUyapom6FfF/+qPhMqke2oPzSpYsYrsr7BnVqom7N6mK1FAQ1HKugZlX7r1rt6o6oX7sGqlQoK2PRklrF9/dQymzU55xZbWFfsZyMcatVzTHIY5iNv8aaVR3kGurUrCZj3bq7dJMANqwVHKCMFoFinMUuGsZjq5SHuqyex0d13kfKo8+fMzvyAcWRHRzykz7lT0ifKnnAeLBgm20GGTfG/TKmSYm0KZL9x/g3rrOzzRj0/p8x7pc8iRUcK1eQ4iOsZQmg7t69g5XLl2OSqs0tX7oEp06ckBZyFpE3VMw1fcpkaYeKVEUef/30HLG/j4F4P34vD79syeLS+Vm5fBlUKlf6q1axbGnZ1rFyRVXNrSLejcbPBILruE1Q+5rNf/8KqFCmpPwiE6sY7LsYMVC8cEGJPcJalgDquoqbZk2fDs9fhkiAz5ofB5yyWOVUQDOnTY18QB32OwSnerVlCHWKpImlY3PMqBESw7BMnzLJK1g2dbK3bM+UjsDGv3FdUPsENm5Dt+81fiwaNagrsRiBKl28KHzXrzNdbdjJEkCxksIAnH12S1UcunL5Mvk/i8HbKk7j3yNdkceWWedGTkibMhmKqBvJhjeOomVgyV8QJ9IKF1Pnuq3Oyar0oP59ZQg2gSpTophMOBHWslQMxVbys2fO4PSpU9IOxQZO1vx+UzXKhfPn+QMVmbpe6KGaN22MHFkzSSDMvJ3Xr16Z1oa/WDNiTMHx/TGiOFAU4yV2wZg7h2n8W6TNNjADlTt7FpklhNPTvH/nXxW2hHgzp02eJMF+dADqc2K2QaQGKmc2W9RT1X8m1L/5ZPRGeIptPdHJQ31Okd5DEai6taqr6quPLvI0UP9PGqgQKjBQnNuA3R6WFLty2G9oniwjSgH1/v07vHjxHH8o+/Dh3/iKRSP7AYPqa3v79q10RYQUzojiodjrb0mxs1lqeY6RtJb3OaCYgH/xwnksXbJIpgxkkwJ7ztnCzuFAG33XSyfplcuX8OD+A9y5c1sezs7t22VuSN+1a/Dr3j3SXxWcIsSiQPXrI6kiBfLmwsjhw6S/zpzsxs7q8DC2TbEfkKNi2ITDphzbdKnAOdDZvGAphQqowEE520oIjXOjBtLHNtlronTYzpw+VQY3jhrhibGjR0rv+8YNGwIa6saMGik3pFd3Nxl6xJG1bF9hLe5LshxQJyRXiUCxhslZfNmZvXrVCvkhLVm0IFxsqc9imayVjb311PNgY3PSRPHRukWzqAEUa13btmwRmDhdIJPoFi9aKN6HN5utu8N+GSxjzoYMGigwrVm1SowQsVuBaS1DhwyG38GDMtvul2QpoJg52cvDHblU8cJMCbvMGeFQqbx0fnPyVXZFhYcxCGdvRfnSJZAhdQp8r+5BrP/FkBz205FhBruvFXn0KOfPnUPP7u5wqFheJg9lVwj7mwgelzNnTEOzxk4CzoK5c8Hx/m/evJb1TMYfOniQ8lI9pXuBre9fkqWAYh/aKFXMOaqHygm+2JnN1NsCymPlz0XLHj7GIlcZJz7LlS0zMqdPgxxZbdUPuQsuXrxgutrwl6FB+Y0bNzB8KFNcasHDzUVypwMXXQvmz0XjhvXQqrkzli5e/J8MTe7L4NJT7c9ikQ/uS7IUUIyTmIrLvkdP5XGZVcmium8vD9MyHK2nh5x/8MD+yusPkHvHQaSPHj00XW34y1CgmMrKYUGcnZYz5XKQIh88xRoeJ4to1qSRpMYyQSzwF2ce9qaNG1RM4C3Jc1+beNRSQLFof/b0qQrEb+PG9eviSS1tnK2Fxs5i9u2x5mwpGQoUO24JlHOjhhioakIcpcHhPxSLNQLFY3DUCwPKhw8fyDrq3r172LZ1izQU0lNFVKC0vizDPRTjC8ZJg/r3k7wdM1AczTFvzmypFbmogH3t6lX/8VBmoDgngM/iRdIEweKS+3OYEavrly9dkuNQlup60fqywtlDzZbJ3oPyUCzytmzZjBnTpgpQly5elJnc2N7CuZY4BQ5HiLCdimKO9iSvCZK1qYGKODIUKE6gxeFQFcuUQrvWLaQdyrwNByt6KSAcKlWQvHF2WQR+Jwkb6FjcuXfrKsHlwQP78VZ5IeZMz1VBeu3q1dCp/b+twGz81EBFPIUOqEDtUNSZU6fg2qUTihUqINmUzJl6aXoz0tOnTzB21AiUK1UC9hXLC1wMas06sG+fTLbFNOOO7dpK+xWDS9rePbvQoW0buLt0xVlT7e+D8lBsPNVARSwZChQBma1iII54Zev43t27Axo/2ce3ZvVK9FPQsDhkDMXijGKsxBboGcpDsTo8bsxo6YYxDz1idmafnj2kinze9GIcDVTEVCiB+m+R9+rVSwnMCceF8+dl0KYZCgbRHL1xRhVZZ1UN7u7t2wHxFbMQ6cEuqaD7xIljAs3Dhw8D2rBY4+vl0V2AuqCCdUoDFTFlaAxFAOQflx9Ny0/XyXr/VNbA6xgTvX+v7MN7+Ry4g5h51OzuYJHImUkojknTQEU8GQpUWIieiPNTunTuJDHUsaNH/OFTNUC+bFADFbEUoYGi52IeFWuLrZo1kXfBsZOZNUa2R02bMlkGj2qgIo4iNFAsFpnKwnwqTm7KIo9dNs+ePZN5ltjMoIGKWIrwHoqBOxPYGOhzumYm7bHbhflX7PfTRV7EUoSPoT4n3ZcXMaWB0jJUGigtQ/VNQEWUgZ5sh9JARSyFGKiAoeirORQ9+O91M1ofP1pmKLrWlxVioLJnySjTF3L+R3PHL2tj5okcwtr8W9z986s4haL2UBFLwQZKpvNp7ITUyZPi57y5MGzIYBmuw5wmzlF08+bNcDEm2z1Q5+SUgEMGDpDpfAKA8l1vulotSynYQPkdOoQGdWsjXszvYZ0wnsxzOXb0KMn/ZlLcVE4YFg7Gxsz56pz0Tny1xU9JEgpQJYoUxPp1a01Xq2UpBRsoTonIcWCxvo8hxrkt+RA5hSGnRqSHCA/juXjO0sWKyJi4BLF+EKA4cpZTDGlZVsEGiikk7JwtXvhnFCtYACWLFEKJwgXl/5aykkULy7VwnBrz2L/2KjCtsFewgWJ+El8P4T+fpjcme0/ExHFjMX7saEwYOwYTxoWfyTnVks0Gk729ZBL4ZUuXSLeMlmUVbKCYisskOE7Yzr41JsvJ0pKmroGTbnDOzYePHgYk7GlZTsEGipIqu5iqwpuS5CKK+V+X6UK1LKYQAaWl9TVpoLQMlQZKy1BpoLQMlQZKy1BpoLQMlQZKy1BpoLQMFPB/TaqS4qfT4WsAAAAASUVORK5CYII=)
; then the general solution of A=
; then the general solution of A=
Three forces , and act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?
Three forces , and act on an object simultaneously. These force vectors are shown in the following free-body diagram. In which direction does the object accelerate?