Chemistry-
General
Easy
Question
Observe the esterification mechanisms for primary and tertiary alcohols.
Type.1
![](data:image/png;base64,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)
Mechanism
![](data:image/png;base64,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)
Type. 2
![](data:image/png;base64,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)
Mechanism
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkYAAACSCAYAAACg7QV8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAFq+SURBVHhe7d0FWFNfA8dx7KBbEEEQAbu7u7u7u7tbX7u7u7tbUVRE7EJRuruk4/tuY39zKAj2+TzPeXRnd3Mu7v3dc08oIQiCIAiCIMiIYCQIgiAIgiAngpEgCIIgCIKcCEaCIAiCIAhyIhgJgiAIgiDIiWAkCIIgCIIgJ4KRIAiCIAiCnAhGgiAIgiAIciIYCYIgCIIgyIlgJAiCIAiCICeCkSAIgiAIgpwIRoIgCIIgCHIiGAmCIAiCIMiJYCQIgvALJCUlERsbi5+vLw4vX2J75w4Xzp/jwL69bFi3RlYO7t8nq7tre0e2zRvH1zi+fs3r169kJSgwUPY8giBkHBGMBEEQfrCEhARZqLl4/jzzZs+kW+cONKxTi7Ili1HI3JT8efNgoK2BlmpuVHJkJbuSEtkzKaEq+bu2pM5ARxMTQ33Zdv8V6W0ryWMb1K3F6BHD2bxxA9bXr/HKwYHQ0FD5vywIQlqJYCQIgpCBoqKi8PXxwfbObXbv3MGUieNp3rghBYzzkitrJjSUc2Koq0nB/PmoXb0qA/r0ZsH/5rJqxXJJWcbqlctZu2qFrEj/Lq1buXwpK5YukZTFyWWZ5O+SMmXSBNq2bE7xQhay8KSvpYaFqTHVKlWgW6cOzJszi+vXrhISEix/dYIgfIsIRoIgCOnk6eHB8WNHGDZ4AFUrlpOFIH0tdbTVlDE1MqBK+TJ06dieGdOmsHfPbu7Z3cXfz08WotIrPj6esLBQXr54wbEjh5g5dQod27amQukSsrAkfQ3FrArSu0c3tm3ZzKOHD0hMSJA/WhCEz4lgJAiC8B0C/P05efw4A/v1oailORrKOWStQK2aNWHiuLFs3byJa1cu8+L5c4KDguSP+nkCAwO4b39P9jq6d+lIEQtz2WU5Iz1tGtSpxZyZM2R9l95FRMgfIQiClAhGgiAIqSS9RHb86BGGDRogC0OaKjlll656desiu2zm5eX123aGloazSxfOM33KJOrUqEoeLXV01FWoWbUSSxcv5OGDB/ItBeHfJoKRIAjCV0g7Tt+5fYvhgwdSorAlytkzY2ygR6f2bWQjyJydneRb/jkiIiJ4/OgRyxYvolrF8qjmzIahrhbtWrXg7OnTJCYmyrcUhH+PCEaCIAgKxMXGcvrUSVl/HWk/HS2V3DSsV5s1K1fw8uUL+VZ/Pmk/pzOS/2e/3j1k4Ug9Vw66d+6I3V1b+RaC8G8RwUgQBOEj0j43Bw/so37tGrLh8tLO00MG9sfmxg0iI9/Jt/o7PbhvT5+e3WUtSNKO2xPGjpZ1LBeEf4kIRoIgCBLSyRalEypKh9Br5M5BuZLFWbJoIa8cXsq3+HdcvHCOxvXrkitLJopaFWTXjm3ExcXJ7xWEv5sIRoIg/NOkB/zjRw5Tt0Y1dNSUqVuzmiwI/OuTJEZHR7Nr+3bKlSouCUhKtGzamHv37OT3CsLfSwQjQRD+WdbXrtKiSSPZ6KzWLZpx9sxpWSAQPvD19WHh/HmY5jWQzc20eMF8oqIi5fcKwt9HBCNBEP450hFZ/fv0QkslFyUKW3HowH6x5tg3PH3ymLYtm8lm725Yt5ZsDiRB+BuJYCQIwj8jPDyMRQv+h5G+jmxCxjEjh+Pt7S2/V/iWmJho2TIlhQuacWD/XnmtIPxdRDASBOGfIF1gVTqxoXSB1lpVK3H54gX5PUJaBQb4ixY24a8lgpEgCH+1oKAgJk8YJ1u5XjoE/X9zZxMaGiK/V/iWd673WDZtKOMnLSUgUHHfonAnWxZPGcqkqSsJDomR1wrCn0kEI0EQ/lq3b9lQrVJ5WSuRdIX7e2LSwjQLuLWFIspKKGUtzOu3gfLaT/leX4t5diUy5yqBi1uYvFYQ/kwiGAmC8NeRDsFftWKZbBRV/rx5WLt6lRht9p3CX11ldLeGtO00Gm9fxQvOhj6/yPDODenQdRz+AWLEmvBnE8FIEIS/ipubG106tEM1RxbJn21lq9sLgiCklghGgiD8NaRDyMuUKIaFqYlsksYksRiqIAhpJIKRIAh/hcOHDsoWQa1VrTKOr1/Ja4WMFPDGnl2r5jJ6cH+GDBnGwlXbuf/WX35vWiTw2vYc+45cwDdCQXhNiuL+xYMcPm9LpMi2wk8mgpEgCH+0+Ph42czM0oVPWzVvio+YlyjjJYVxbs1oShlpYWJqRf2GjWjZqDZlzA0wzFeIsStOEBIv3zZVotk8pDp6Betx01XBGmzxfkxskA+zWsPwipXXCcJPIoKRIAh/rJDgEAb170uOzEr07dmdiAjFnYOF9EjAev1g8irnonH/edi9ciU8Kpa46Ag83tizdHADNHOpM2j5eVKfjaLZMrQG+hb1UwxGkxoaU6D2cBGMhJ9OBCNBEP5I0lXvG9SpJVuiYuK4sWLU2Q8S4XiGevlzU6nzXAIS5JUfi/dnQedSaOStxKkXqV14N5qtw2phYNUQmxSC0eTG+SlYd4QIRsJPJ4KRIAh/nKtXrlDE0ly2+Oum9evktULGS8J6bX901YxZc8VTXvclb+u1WKkr03fpeVLXJUgSjIbWxKBwUx4Fy6s+EcOs5qaY1xHBSPj5RDASBOGPsmPbVvJoa1DI3FQs6/HDRbB5SDV0C9Tmqpu8ShFfG1oVUqNKr6WEpWqlkGi2j2qIoYEFg8ZOZ97sWZIyM7nMkfx91njqFdGlSKMxIhgJP50IRoIg/DFWr1iGSo6s1K5elefPnsprhR8mKYglXUtiULwN94LkdYq8e0TPsrqUbjeHKHnV18WwfWxTDDV1KFu2PDWrVJDNUC4rlStSo1JZLA3VKdF0nAhGwk8ngpEgCH+E1SuWo5w9My2aNsLfz09eK/xY4aztVxE9q8bY+MirFAm0pUPJPJRr3IWlq1aydOECli5a+EVZsmAei5Zu4VVwELtH18fAsi4XnvoTHhZCSHBwcgkJJTTAkbENTLCoJy6lCT+fCEaCIPz2ZKEomyQUNWmIr8/XjtBCxkrk4tIe6GqZs/VWyvMVhdzbQRlDHdr2GciIoT3p0qE9Hdu2pkPbVu9L107t6dqhNW07DsfW15e9YyXBqFAjbL3kT/KJYKY2EZ2vhV9DBCNBEH5r0nXOpKGoeeMG+ImWop8u7PkxquXNSa1+y1G8PGwEG4fVQk2nGAfvS8JTYrRsxGBSUhIJCQnvS2BgAAH+/sTHS7tni1Fpwu9LBCNBEH5bhw/uRz13Dpo0qIe3t8KmBeGHS+Tk/K7o5lKjy6SNvA2MkddL8kuICztndiVPrpy0n7Ib6Wj+rRvW0aFt6y9C7Pixo2nbsjkxMdLZjhJEMBJ+WyIYCYLwW7K/Z4exYR4qlCmJh7u7vFb4WaQtPufPncXDw1sSVILYPbM7FvrqmBcuQ9sOnejRoQVVixmjp2NIp3GrCZbknWcP7bE0y4+ehhqTJ46XPxNERUXSoHZNalatREKCtMUolrW9SpFdrxLXnBQFIx9GVFFDu1wfPEQwEn4yEYwEQfjteHl5ygJRvjx6soAk/HzXrlyWTYuwd/dOeU0Sr+6cZvHU4fTs1I7OHTszatIcTlk/kc14HR8bTZsWzdBUyYWxgZ7ks9PhyuVLskd6e3nJplcYOXSw7La0xejJ5f2s2XwIjzAFMx8lRnLj8Ho2HbhChKJJJQXhBxLBSBCE34p0BmvppRi1nNk4fOiAvFb4maKjo2hQpyZVKpQlJETBDIyJCcgafj6ybs1qdDRUKFbIghKFLTHQ0aRerRqy53r58gW6GqpsXL9WvrUg/L5EMBIE4bcyZeJ4cmRSYv7c2fIa4WfbtHE9armyc/L4MXnN1zm8fIlpXgN69+gmG41WvlRxRg4bIus0v2LpYnbt2Iauugo2N2/IHyEIvy8RjARB+G1s3byJXFmU6NOzO3FxaVquXcggbq6uWBXIT7tWLYiL/XYHn5iYaNq3aUlRq4Kyx/bq1oVCBc14+uQJVSuWw9w4L6WKFqJyudJi/inhjyCCkSAIvwVpfxTp2md1a1YnKDBQXiv8bGNHjUBbTZm7d+7Ia75u755dqOfOzvGjR2S3O7RpJetj5Ofrw+GDB2Sfaa6sSowePlTWoVsQfnciGAmC8Mu9fPFc1jm3iEUBXjk4yGuFn+3OLRu0VHMzfMggec23Pbhvz7Ytm9+Hns7t25JXV4snjx7J5i9q1awJqjmysm/Pbtn9gvC7E8FIEIRfyt/fn7o1qqGnqcbVK8mjmISfLyoqSjaJZv68eXj96vvD6ZCB/dHVVOXC+XOy29LLohamxri6uMhuC8LvTgQjQRB+qZHDhpIrSyZ2bNsirxF+hZ3bt5Ezq5Jsdfv0mDtrJuq5srNrx3Zi4+JkLYHDBg+Q3ysIvz8RjARB+GWk/VJUsmdhqDhw/lJurs6YmxhRsmgh/Px85bXfZ/PG9bJRhSuXLeXsmdOylkDbO7fl9wrC708EI0EQfgk3N1eKWprLDsbe3t7y2r9LqMdzTu3ZwOL/zWHxklWcuHKPsE8G20Xz+v4Nbtx7QbSCiQyTYkJ5ZHMZu+duKJgG8bsEuz3jxK71LJ43m8XLVnP6+kOeO7szYnA/du/cLt/q+12/dhWN3DmoX6sGxQtbMnhAP+LixPTVwp9DBCNBEH66+Ph4+vTohmrObJw6eVxe+xeJC+bE8hGUL2CAeUErKlcsT6VShcivr0PVVsO45fLfcqyeTG9eiEINR+L+Tl71kTif+3QspUvtQetJd7SICeTwosGUMTOgoEUhqkhfU0krjPX0aNB1Ag+8o+Qbpk9YWBi9u3dFSUmJmlUqiYV/hT+OCEaCIPx00gn/cmbJzIj3S0T8TSI5Pq8T+spqtBu1GNvHrwkICsHf8y1X98ynvGEOCtUdgkOgtA3Ih0kNTDGtNRhXRcHI+x6tC6lQuc/qdAajcA5Ob4NObk06j1uO3RPJawoOwc/jDRe3z6KUXg5KtRjPG8XL56dZcFAQ+3bvwsHhpbxGEP4cIhgJgvBTOTs7ySYQLFO8KJ6eHvLav4fvvV2U1clG3UGrUZQz7m4ehHZWFaYceCG5FcLUxgUpWHcYbgqDkT3timlQvf/adAUjrzubKaGZg8Yjt6Lgn+H6qt6oZdNiztGn8hpB+HeJYPS5uHAeXD7I3LED6diqCc2bNqNX/+Fs3H8Rn8hPOwGEOduzYdFMdp27n+JOKzHMif1rF7Jqx1lCxGV2QWDowP6yS2hnTp2U1/xN4jk6vTkaOkXY+zBcXveppEgvbl29yiuPUMktH6Y0Nsei4VhJRFLg3Ss6l9CgWr/0BKNE9o+vh6Z+aY45RMjrPpUY6o7Ntes4eil8FYLwTxHB6CPBb20Y36EK+io5MMhrQqXKlalTrTxFTLQlO/JclG/cD2vHDzPyul9aiWVuJclOaw2KdzeQ4HaB+qY5MKzYm7cpbSQI/4iL58/JhnKPGTlCXvOXSQhiTmtL8pXuxBNFTTNf8GBa8yKYlKjPyk072L3z07Jj1SyqmGpQZ9C6dAQjTyY3NMe4kmQfpDirCYLwERGM5GI8bOlXLR/Zc2jTfdIq7r92ITAkjIiwEDycHrNhQjv0sylRuO5AnvgnDyvxuLKaYppK1JbstFIMRu6XaGKpRv5q/XESwUj4h0k75VavXIHypUoQEBAgr/3LxHgzpm5eLGoNxTVVS715MqNNafS1dSlqZUmJwhay1emlpXgRK4pbmmGgrUGjYRvSEYzeMLiSIYUajcUrWl4l/DYiA95wbOMCBnVpQ/NGDejQuTdLNh/FPfTDJ54Y5cmRdQvZfPwOCgYvkhTiwr5V89l15l66LrkKyUQwkolk19gG5Mqci+5zDqNwbEZSECv6VERJKQv9lp5HOvm999U1FNdSos7g9V8NRk2t1DGtPkAEI+EXSsTt6S32b13HyqXL2LrrEI/e+svvk4sL44X9LR44uKPomB4f6ceDWzd56RYkr0mbxQvmy9bNunLpL57dOj6A6c0KYFqxD6/i5HVf5cmUJpYUqNaTO89dcHV1lvXBkhYXVzcc7U7StLAGNQcouJQWG8KdswfYvXs3B/btVVB2s3vPYR6+vsuERgUxrzVY4cg34ddxtN5Gs5JGGBiZ06xtF4YOGkD35jUpoKVMsdo9sHZM/q0lBt6lTcHclOq0kBhZzacSnK9S3zgn1futTPFYJKSeCEYS0S7naWimjGHJNth/ZZ/v++gU4wcNZNtZe9nt/4JR3SEbFYcpKa8rNBPBSPiFonyf8L/+jbHMZ0CRwkUoX7oExc3zYmJahDHLjhL+3ylo4D16VDSm7oAVCvu7hL46TK38evRbdllek3qvXr7EzMiACWNGyWv+VjHsHFkLHZPqXHJTdG4vERfI1SP7sH7sKrnhndz5uv5IfBSl0aAndCieQufrMGfm9qpH1apVqV+75pelVlWqVGvMhtN32D6mNvrm9bnlnUIzVowXFw7vx+aJm8IWCSHjBT07Tn1TZcyrdObiQ1ei5B9NUkwEj8+upKxuJgo1HI1LlOQ0PPwBHYtqUaH7EsXByOU6TQtqUHfQWhGMMoAIRhIOh2eQX1WJOmmcK8TjirzFaNA6whITSVRQ4lwviBYj4ZeJD3jB6IYF0TIowrS1h3n8ygV/P19ePbzJggF10cylydDVF5A1bgTY0raIBpW6LyBY9uhPhbzcR3mtnHSdn7wGVloM7t8Xi/zG+Pj8nRM5fuzlybnkV1FlxAbFsz0H3d9KEWUl6o/ZL7kVwvQmqRuVJj1uJkUF8vzxE3zDpZ9YEu/CQggODiYkhRIcHEJsfBLPj07BSEWTcbsfyJ73c343VmOeXYkWk/crbC0UMlhiGOsGVEZdryQHH0s74X/p3IKuFLSsyrEXktPuyMd0KqZNxR5LUwxGzSw0qTdYBKOMIIKRxKXlfdHPloleSy7Ka1JHGozK5s2JWZFytG7VinatmtO25YfSrlVL2jaujqW+ClZ1hohgJPxkiZxf2BFNZUPmHn8mr/tIjDtj6xmhZt4QO+lVtQh7OpbUpVqvxYqDkcMBKuur0mPRBXlN6ty2uYm2am4WzJsrr/nLhTsxoYk5WiYV2Xb5xSdBI9TtNkPrmqJuWIGjz6TN0wGpGq5fc/AWosPcWDNpKBMnTWDStEU88U39hIxJoY6MqmuCjll1dlu/+qRVKMjJmj7V8qFhUoMzL7/vMqmQNnGet2ltpULZ9nMU/takEmPD8fcPIio2kYTge3QqqkXlvmvk934mwI6WVprUFcEoQ4hgJHFmYXd0s2Zl8DpreU3qSINROaPc5DcvQq0a1alboyp1PirSFcPrVC6FmZ4kGNUVwUj4yd49p085XSwbjMFX2ilOAe8Xtzl36SZ+kZIbkp1vhxI61Oy/WuHllETPU1RNYzCKiYmhVbPGsnmL3N3d5LV/v5CX5+hSyRhNrbw0bN2N8RMnMmZQVypZ6KFjUJh5B+7K32N3RlbVQadcL1wU7B/iPG1paKREqe6rCfF/xelzt4mJC2bj1BHssknb+xn45CTty+ZFWycvjdt2Z8LECYwa2JkK5troGpVg6bEHGbbsiPB1fo92UkZLhfYzj8prvi4hyJ7uZQ0xLVaVgf37MfjjMqAfg7o2x1JHg2YjUu7vKqSeCEYSN9YOxiCHEt0XpO0SwX+X0moPXENwXBxxCkq08zmaiEtpwi8Q/fwAlQxy02rqIdlggW/yv0uXcoYUr9uDXUcOc+zIIY7KyzHJ7d2rxlBMV43ei1Pfsnrk0EGUs2dm/tzZ8pp/R5TPc7YvHEfHZvWoW7Ma9erUo/eQKZy95yzfQiqEE6unMW35AYIUXCNJCHVl4+yRLNl9XR6kojixfBgNWw3E3idVvbs/Een1hM3zRtOhaV3qSU7c6tWtR9/hM7jy6MNEm+/evWP/vr1cvZL2vmRC6nje20AxdVV6Lj4vr/k6aTDqUS4v+cxL0LxZU9nJRsumjZJLi+a0qF8ZU00NWozcIIJRBhDBSMLtwmIsNDJTvfcKvjqa9Z0P1hdPY/fCnVjJkcbr6tr3na9TfJzXVdH5Wvglwm5vpKiOKv2Wp3IUWIAdPauZoaebh0IWFhSxMKNwweRSxNKcQgXyoa+lSf9lqXu+0NBQqlUsTyFzM7w8PeW1/6I4wkJCiIhKe5D5WEJcDLFx0fi7OrB93gjm77RJXeBVJClW/po+XOiLfJe8g/Jwd8fCzIRKZUsRFCQurf0Igc8OUVFfmVZTDshrvi4h0E7Wx6hC98W8i08kIT5ett6grCQmEfP2Ck1FH6MMI4KRRILfbdoX1US/UBNu+qS8q/G33UZZDSUsG47CR3L6Fnhj3XcP1//uHZogpNK7BzspradMt/mn5TXf4G9L59J5KN92PPdeveX1q5eyta6k5bWjI/bnVlBWT01ylpu6S2kb1q0lu5ISixbMl9cI6RH45BT/W7qTcMnO4+qqUUxafSHDLn3t2bWTmlUr8/TJY9ntFUuXkDOzEmtWrpDdFjJWQsATupfWoljzSfjK6z4X8uYq00aO5qSdK0kRyZ2vK/VcrnjUoPtNmotglGFEMJKJ4/jMNihnykabcdtQODlsrAf/61qWrEoqDF55SbZDSus8Ri7RktvhruxaOoVRI0ax7uB1PltlRBAyTEKADa0s1ajaZ2WKLZoRro84ffoS7kFRsj5GHUvqUL3vcqRdjj4X5XyUKrI+Rt9u/vf19aFU0cKUKGKFt5eXvFZIj4R37uxYMJ6RI4YxYfoKnvtm3GyN+/fsloXY3j26ym5LL6fVrlYFKzMTPD3cZXVCRopi34RGqGlasNlG8e/jyPSmZFZS5n9nXCDmWdpGpSVF8+zmafYePMVbf0W/ZuFrRDCSi/Z7wJDapmTPpkrLftM5f/sJwe+iiY4I4unNU0zqUg31TEqUaz0ex9Dk87T3w/VTFYwG450Yz9U1I+g5ZiX29jeZ0K0day86ybcUhAyWFM7KHqXRLlCHG16KE/iJmS3IncOIjbcDJDvfJ6kaldZzyVUS44M4tXkhkydOYe/5L9cKXLJogazFYe3qlfIaIWMkEOjnR1QG95KWTi0iDUWqObJy5vQpWd2Fc8nLt0yZME52W8hYEU6XaFVYnbxF67Pz4n3ZJTKpxCg/zq8fg7lKFqp0nUeA9Gpn2P1UBqN1slGQzpfWM3zEdHZuXMCYiUsVduwXUiaC0UdCHa0Z374KerkyoamlS2ErS4pbmWGkmQNlZS0a95rKfc8PQ2Tdzi/BRBqWeixX3MokkeB6lhp5lNAs2Q2nd0n4uTjgHRpPuN8L5g3uzrqLb+VbCkLGc7fZSEmtbFTtMpOXvp+OB395YQ3l9LJSouVk3KXJJsQuFcFIjT6rbPB/doE5Czfz8sUdpg4bivXbD7trV1cXrAqYUrFsKdlcOsKf4cWL5xgb6FG9UgXZ8i1S/Xv3xEBHk6dPnshuCxnLxWYvbcqboKWuRclylWnepD7Vipuho6ZOrU4TeOidfMqREHCHZsaZKdRmnsLW3wRJyKqpp0SFHstk9/u+foSjZyi+T08yftRMXoi1gdNEBKPPxQZx7/IRVsydxLD+venfrz9TZi/mxDV7wj476Y70ecXpg7u4ZPc6xUnRkt55c+3kfo5dtEU2J5uU/1Nm9apDuVrduO2Vlikl/x2hPs7cuXaekydPc/uhA6EZd9XgHxPNlfUjsdDOjXmxygwcNZ55s6cxokdTLHRyY1G5I5dfyfeafrdokj8LxdvNRlGX2+DnOymSTYm2c84QHxtF5LsQbuxbSP9hM3EI+9BrbvqUyeTIrMTO7dvkNcKfYtH8ebJLaksXLZDdfvPGEVMjA3p16yK7LWS8KD9Hzu7dwMwJIxk+eCDjp8xh/xkbgj7qq58UE8jNUwc5d/uFwj5GSRG+XDtxgMt2r5Ina5UKe8Hc3k3pOGIZvjGiV2taiGD0S8QTEujFgfmDGDhzz4cvskBiyFs2zBhMi2Yt6dFvCCNHDqdnh1Y0b9uD9afvK+54KHzTS+sDjO/dlnrVKslaBOrUacjoOet44fPRJIHhb1k7dTBzN59F0ZJakd53mT20HxvPPE2uSAzl9OaZ9Ok7Gvu3yeHK1cUZMyND6tSoRkSEaL//0wQHB1GlQllZGHrl4CCrW7Z4EZoqubhyWQzf/zMkEODpTtC7eBJj/Vkypi9brrnI7xNSQwSjnyqMw6vmcNg2eWXxx3un0HHI4pTXWfvHJPg9YFTbunQavQR7R1/C3W3ZvvsCYfFh3L+8nU71azJq9VmxZEEGSO/5o/uja1g/Tl7e48S8Iew/eFf297WrV6GSI4tsEVPhz3Ti+DGUs2Wmb8/ustuR795RuVwZGtWrQ1Sk6Mj7I9jeuSNbLaFLh3a8feMor/1eidzYOZspi/fz+vktJg4awMlHgfL7hNQQwSgFDx/cZ9myZbx4rmAphe+WyJ1dM2jXoQ/Ll/+PPp06s9P648ne/mEJIawa1pLO0/a+v4bucWM5LdtN4L/5faPdbegi2TmvvCD6ZX2P8IgIdu3Ywcb1a3n5XN7q85287Q8xrP8Q1q1dxsjh43ngFEx8bAwN6tSkUrnShMv7qAh/HuncON27dJJ1xD57Onmqh3NnzqCROwfbt26W3RYylnQiVCUlJXJmUsLurq289vvFBrxi1/KZTJIPjhAnk2kjglEK5s+dI/uiblibwto03y0Ohztn2bZlO7ee/cuT3n3K134bzVsO5PVHXa787TbSpdfsT+b5eHtiDk27zsQ7g0fl/AtcnJzQUM4h+14vX7JIXvu9EnF/eoND+w/x0Cm5BfTOrZvoa6nLWo2EP9vTp0/Il0eXKhXK4e/nJ6uTzl5+8ULqZmoW0ubk8WOo5cyGvqYa9+3vyWuFX0UEoxRIJziTHkB2bN0irxHSKtL3NefPnMfBR9GYvUQ8Xthy9tItQiSnM7fXjab7lI28dnrBPTs7Hjx8yJktE2nYtB+n7z3igWRnYXfvIa8enaBH2+5cdhHJKK3cXF0xy2dIrqxKrF+7Wl6bcSZPGE/hggUICEgOSsKfbe6smWip5ub0qRPyGuFHEcHo9yKCUQpEMEo/5xNTUc6Wm/EHFV22iWHH8Opk0yrHDV+wWTaGgfNXsGLaUNq370jXbt1oVb88pmbFadWlO127dqZ9u64s3rKZQT17cuKx6JmVVj8yGEmX/yhR2OqfXBPtbxXg78+9u3d59+5Dv6IAj7c8ffSAx0+e4eYjxoBnFBGMfi8iGKVABKP0e3tkvOw9HLk3eZmBT8WwZWA5lHIU5YokGD3ZMpZuU/fI70vmfWc9nXvM5JMLjoE36dG6K5fdRItRWmVUMJJOBvjkyWNZ+c/hA/spXsgCJyfR/+tvFPTKmtkD21ChaEEsTfNhUcCUkqUq0HfcEh55ig7Z6SWC0e9FBKMUiGCUfk7HJpFNKStj9iuaHC6GbUMqoaRcgvOSYPTu5QFaNO3No4/67HreWken7jP4eEGCZ/un0LTnPPzEtBxpllHBKDgoiBpVKtK1U3vZbWln3VbNmjCgb2/ZbeHv4nv/AE0Ka6NvUoIRM5Zw4twlLp85zOKJPSlmkBvzCu258ipUvrXwPUQw+r2IYJQCEYzSTxqMskqC0ZTTiufQODimGkq5i3HSVXorkk2j29Bu7Ob3c+h4WC+jWZtx70elvXtzhXa167L+uuwBQhplVDCSruzdvnVLypUqIWs9enDfXjbvzX9LSQh/j4SQFwyuYYRBkSace+Evr/3A7eZWKufNQalWUxANR99PBKPfiwhGKRDBKP2cjk0hl1JmGgyay86dOz8rW+hdy5TMmqU55Zx8WSwp8BmTOjeg9cDZ3HjmQYjrbXbuOU9ITBA3Tq6jTe0aTNx8TbaAr5B2GdnHaPaMabIwJJ1zZcrE8ZQsWkjWchQZGSm7vWXjBvmWwp/s6YHx5FXRZtqhlJcEubK4M1pqxqy6KiYR/F4iGP1eRDBKgQhG6ed8Yjrqkvcwa87cqKqpoaKsjLK0qKiirqpM9iyS+wwqcVoejGTeebLjfyNp2awZnXv2Z8TwwXRu24KWHfqy/fIL+UbC98jIYHTowD4M9bRZsWwJZYoXYf68ubi7u9OxbWsyST5z6Rpbwp8ums2Dq6FjWpsbboqWLk0W+nw/5XWVaTfjmLxGSCtpHz3p8SarpNy1vSOvFX4VEYxSIIJR+jkdm0wOpcz0Wnqc146OvHz5Ul4cePv6MXM7l0RJteT7FqOPxYR4cf/WdS5cvIL9c2fEUj/p5+LsjJ7kjFT6vV65fKm89vs8fvQIK3NTilgUoKilOdMmT5QtJSFdUX/Y4EH4eCfPii38ybyY0bwQJhW68VLR4nlysT53aGmlTp0+K+Q1QlpJ94vz5sxh2ZLFYuHl34AIRimQrg8kPYBs27xJXiOk1X+drycceSWv+dTuEVVQUi7OSQXBSMh40rDSsmljqlYsx9HDh+S130e6Dpr0ebRUcmFhakwebQ30tdRYvWI5CQliRbu/gwfTmlpiWqkXr78yMj/O9y6tCmlQt9cyec3vLg4ft7e8fP6Mlw6O+IV+3hqWSPS7MELDIohXeEKWRHREqOT+dyRm6AlbHMEBfrx+9RoXD/90L9sjFR7giePL5zx//gJnD98MmwE7Ltwfp9cvef7sOW9dvciIpdBjQnx5++qF5LU+x8nN58vXmhhPRGgI4e9iFL83iXGEhwYTEZX+VyOCUQpWLV9G1qxZ2SVWCP9uqRuVJoLRn6pHl06yma41VXJSsogV584mLx/xp0pKSsqQg9HfI4r1/Sqha9EAW8+Ul7oOf3WUKvrKtJ6SvrD9MzjaHGV018aUL1qQgsZ5KWhmSvkq9Zm14RRB7/N8CLumd6FJ57E8V9h4E8ymMW1o1ns2QYpWW06jWP8XbJ41mPoVilPYLB8FTPJRpEhJOg+ZhZ3T9432i/F9zoZp/aldtghWpkay5yxatASte47mrF06lqGK8uTo6sm0qFGGogVNKGBsRCGrwjTvOoLzDz8eP5x6SWEu7FsymqZVSlGkgLHkOfNRuFAx2vQaz7VnPvKtIMH7EWPa1GTQ/w4qXF80zsuGQU2rMWrV+XQHQBGMUhDx7h0eHp7ExqR8bV34un89GIV6O/PY/i52dvd45ez9xUE3ITaSAD8/yRmO4oNObGQo/n4BRMdl3PsT4uPCkwf3uHfvPq9dPl5sJWXPnz3F5uYNNm1Yx7Ytm7G9fZuXL17ILsdZFTClRZNGPHmsaK6qHyUG2yOrmbFgE06KJlUnkBNrZ7Nw00lCUz6eyyRGeHNhz3IGdWlB/RpVqF+/EYPGzubcXUdEu5d0oesxGKroMvNoymtG3lrTFx0VQ5acfyOv+R0lYn9gNiUlAc6yXCPmrtjKhUuXOXtoK6M7VkUnlwodJ28nVPahB/C/9oXQtmzE3eTVUD7jx+QGxuiV6YpPOpcEjHK7xYA6BdHWNaO35Ht36OR5rl44yZqZgymZJydmlTpi7RQh3zp1Il1v0L9mAdQ1jeg8eDJ7jp7hyoXTbJo/nrpF9NDOW5xlxx6m+SQgIdyROZ0roq2hR6u+49l16BRXL59j29LJ1CyoiV6B6uy39ZBvnTpxgU+Y0KokWpp56Sh5rXslr/XqpTNsnj+WKvlVMSzSgBOPkkdDxrtcp4Fxdqr0XIain32s0wmq6Gai3qidfONn/00/NRjFRr8jLCSIkJBQIqNTeulJsiHAiZKzt69Jkm6Tse2YX5I2zYWFERYeQWyGH7uTiHoXQXBwICGh4UTHprwblp7JSt+Tr74l77f5we9JGjgeGCG7HDlox0N5zceiWd+zsOR+Ew6//bXBKCLAA2ePjFt9Otr7MSvHd6d6yUIUlpwBFTQ1obBVUdoPnMk91w8/aTfbHZKzpGosP+0gr/mU3e4p1KjZnDNPvhwmnVaRHg9YOroLVUpYYWVmgoX0NRUuTudh83jkqXgW8XeSk4NJ48dipKctu1RmlEcXE0N9jPR1MDcxole3LqxctpTwcIXp5AcKZ23fcmjkr421oq5MSY4MrqRHgdrD8PhvRWIFIlzuMLJpCbTUtKnesC1jxo1n/LCe1C5pjLZ2PgYvPEjI7/Nz+iUSgp8xqIoBBsVacNXhy9+Ip/0B6prkpFCj0ThH/b4nOKEvjlHbOCdFG43EIfCz9oSkUDYMqU4mJS0WnJW2prxjSbfS5CvZinsKf3r+zGxhSf4qffBNz1c/MYBlPcujpl2E9Ze/XFH/9fllmGdTomL3JQSl9q2N9WJ+55Ko6xdn3fnn8soP3nnaMqBGPjRNa3LOIS0zl8dybFYbNHLrMXG7zRcnDcFPjlA9jxLG1QfhFJbaH00EO8c0QF3VmHmH78vrPvCx2005DSUsG41PXhvT04YWlhrUGbBa8sgvxTqfpo6JCs0m7P0zgpHHM2uWTepPg0rFscyflwL5TShXuQ4jZ67hidunH06YwxVGd2nC2OXHiEjp/Q19waLhnek+ailu4Rm854oLwubYRoZ2bkz5ImYUyGeIlWUhGrbqwfpD12XreqVPDM+uHWJSv7ZULWmJubEh5gXMqVa7KZMXb+OFx+enIEnc2D6ddu27ccQu5TN8x2tb6NKyHcsP3ZXX/Hp+9w7QtVNX9tz5byaij8VhLfl/deo5gfv+v/boE3B/NzXL12CXfQYEELcb9K5uiq5hIYbOWMKpS9ewuXaODf8bJjkDzIVljZ7c9Uo+WjteWIBJLmVGb38gu/25y4s6oapuyo7bXvKa7xP+9grdK+VDN19RRsxazplL17G5eoa1swdQRFdysKg7kEf+n4YjaR+iAX16y0bJNG1QjyOHDuHk7Iq/vx9njh+lbcvm5M6WiX69esgCVLolRPDszlUeOKamFSuCTZIDWd7CjbH50NL+QdJbRtXOT7HGY/BMIRglRbxlaotCaBqWYOWJu0R9dOYTHfSW9SMbo5lTk9GbrP/56SHc7fZSv6A6hhaVmbFqJ5evWXPjynm2LhhFBWMV8hZtyMlHij6I30UchyY3QV3Dkp12CpuAiHS6wZRhg9h9VdofMoKl0mBUqg2PFF7JCmVOK6t0B6Mg++2U1s5G8wl7UviOhXBg0VgmLd6NbyovXLhbr6Wweg46z055hKCvzXqKqmenzZR9qe4bFO9tTfOCKpRqO1vyqhRJ5Nq22YyashzHoNQdJKNenaaWUQ6q9V6G4imwYjm/YTqjZ65DOigySR6M6g5er/h1e16gbv4/IhhJDn47p1POSFmyg9enduM2jBw9hgkj+tGyRnE0JWnYrGxzjtt/2PH73dxMMRUlSnb8H4Ep7ZF8rWlpmQuNIu14muJGaRfv95R5vWuhkyMzJhal6NijHxMnjGVoz9aUM9MiZw412oxaneLO9pvi/dk9sxv5VTOjLjkjbdC8PaPGjGHs4J40rmSFRlbJ+1GmMXuuf9xZOYndI2uQJasqc4+n3FR9d9sQlJUy03HWEXmNkGqJocxvW4ic+Wpz5kU6RoQkBbKiV3k09Eqw7caX1/EdTv8P40xK1Bu5Q3bG5XJlGVbaukzc/Sh5g89cW94TfYPC7LFNxwivOB8WSs4gNQzLsPv2l83czw5NRV8SfppP3v9+ZyJtdZw6cQLZJPVDBw0gLDT56BDnfZeFk+dg6xklCUMRTBo/RraNdBSatLUyXd69pE85PVpOSc3390MwuqUwRzl9Mxg92D0eQ2UNxm1PYc6YOHcmNjFHr0gz7niLi2r+DteZ0rMRhU0MMDczxco0L2ZmlrQfPBPbtxnX2vq5oKAgpk+ZxLUrl+U13yFWEpTrmGBSuQ+Oqbr05c/i7mUwKtaESw7+kpOBz4sDExqZY1q1b7qCkfWa/uiq5GX5+dfymvRK4MyCjmhqWbDtzlc+k/g3DKthhGmNgTin8iqd69n5FFBTYejGm/Ka9Ht0YCpGyppM3p26eZviXW/S0kqTGj3m4/LFZ+KP1/291MinQvOJv3kwen78fxRWU8KoRGP2Wz/j464SSTH+nFo+CJOcSphX7cUDv+QM6H97O+X1lKjUY3HKzYd+NnQoqY1h2a48T3Ub4zdE+bCsd2VyZspJ8yGLee716Tc+4M1tRjYpLDmDzk2/RScVdv76uiiO/68bOlmUKFG/N+fuviHho4aSxEg/LmycSDGdzGiZ1+aY/LqqNBjtH98ANUmwXHjKSV73pXu7RqGbXZUe/xMrYX+P8NcnKa2uhLJFbQ7f/2R1tlQLebCHcrrZaTExhTPA+EAOLJ/Osp2XkJ4AulxZiqUkGE09+DL5/s/cWtNHEowKpSsYedttp6RWTtpOOyT5JimQ4MueRVNYtf+67DVJ3b5lI5tormnD+p9cJvOzXY2Vaj4WXUleDy06OorOHdqiljM7ly6el9V9tyRXBlTQp+3M1HTglgejIk2xU5hjPRhb1zTlYJQQzNKupdC3aortV44fD/dKwpOqLrMPK1oE+d8U5PkGO5tr3Lxlh6vvj18GxMPDnZpVK6Gtmpuxo0bg7JTyPjBF/nclxwtNSrebgW+qMm4Ay/vXQEdNCyuLghSzKkhRyw+lmKU5+XVVKFx3CL5p6/7ziSPTmqOhW5LDDzIqWMaxbUg1tEyrccHpa63w4SzvXhbdQk2x901da7391uEYKOdh4bmMm0vu6qreaKsVYP0VRVcUvhTvZkOncvro6htR1MpC8jl89LlIPyMLEwzUlWk/7eDv2/k6KeQJ/SoboKxbnB13Utqxh7GiZ1kyZdZi8i57WU3ALwpGz4/PJn92Jcq1nYxnCu9qxPMj1DBQQrdkB8kXKm1DAgMlB83KBlkwLt8JO++UPzabjSPIm1WJCl3m4CuPvSIY/RxPD0+TtZ7k0C/H8uOK+kV93e0tw9FXzcvSM6k7A3S8vIzCOjoMXn4GF2cnnD8q0jmH9k9vi75h0XQFI5sNA9BVz8fKK6m/HDd/3hyUs2Xm3Nmz8ppkca92UTZPITbe/7Ajf/rwnuT5lZk4fqy8JvXio4J5/fQRT5494+ndk3QobUCjwct58vwZTx49wOGt1ycnUx9EsHVUfXR18tGweWs6tm31UZHebkQJI1XKtpmE/Krlp8LfMrCKHkUajuNr70qw3Q7K6CjTbf7xf/5y2q8UHBzMpHFj0cidg2KFLNi0YX3aLt/629FJFoxm4puqDzKApT0rYmBWntmrd7J35zZ2bN8qKzt3bGf3jlW0L2+EeY3+CluM4iJD8fXxxtfXV3Hx8cE/yJfdk1ugpV+SI6kIRrHvQr7+nL4+BAa4s7p/ZXTMa/H1rPGOVT3LoS8JRjdf++Iveazi55QUyb/pHxSKzabhGKkYsPDst4NRTETwN///gcEhnF/ZBx11s9QHI9ebtC2mQ4m63dm0Zxe75J+JtOzauYttS0ZTKo8yrSbv/32DkePJeRRUUaJy9yUKe5D/x//VLfbvPsIT5+QWElkw0pU8rveKFK47SoTdo1OpDAxGiaEs616a7Cr5WHz6ayMrIrA9d4ijZ2/hH5mW5vVYDk1rjXqm3IzY/I2myKhXDKtjjLJ2aQ49Tp5V7b9gtPRCyrvxJ/vHpSkYJUSH4+3piWcGFi8vT9yc3+Dw8gUvHV7h5uYuqfP6bDsvSZ0Hzm+TJ3x0cHBIdZFt/8pRNlrwy+dN/vddnd7IRky9ev0Wdw/pv/XpNikWL29CglxZMaierF+NUu589J23B9eQ1DbKJnFqfgfJwboYe+1Sdwb49toqyuqpYGRiQuGCZhQyN31fCluYUdBIC+38lThg9/3B6OyslmgalOLws9QfSCZPGId5/nx4ebjgYX+SaePGMH3aFMb1a46VoTEteg5h5rTJTJs4jU0nbmNVpDDDBvWXPzr1/B/vo0be3GhpamGoq42xgT7GeXRkM2rr5M5CqZYT8VbYNCsJRiProaebn5Ydu9O/Vzd6d++aXHr2oF+PNpQ1Uads64kKg1FS0At6lJEcKNvM4ivzFhL55KDkZEaVdtMPpLtpXki/06dOUqZEUVlAks7HdeXSJfk93xDnxJi6JphW68+blFp4kqLx9fYmPEZ6PAlgcbdS5CvdlicKt49gbuuU+xg9OTCLKmWKU6VieapVqvBFqVKmBA06D2DOuP6Y6eVn1aWUjzkRgb4ER0RhvXkCNUoXljznl88nLZXLlaFV+/5MGdUCQ8MS7HvwlaasJDcmNJDsb2r1Z+/KqdSqWIqqKT1v6aI06Daew5sXUVJXgxFbbsmf5EuxYYEEhIRybuUwqpYukuJrrVSmJC17T2XPtulYaOoybd+XHa//Exnij49/CEmJSSS43aSFhQb1hmxUPGLU+xL1fu8+RgkcndsRTaXcDN90XV6XOtJLaRXyZKZsu8k8fusiO5P+tEjq7A/RoqgWect1y5BglBh6n24ldchjWZ8rnj/g3DDGhcktLMihXZbDDxV3/vvYkWmt0Mqei9Hbk1vRDkxoiLq6HpO33MDVxfmz98NZVndqWV90c6ilOhh53dgk+aGVolSp0pQunRGlDGXLlKZIQRNJOJAc2HTzULhIccqWLfPldmVLUTC/kWQ7HXT19NBLZdHV1UE/jxElSpaiTBkFzyupK1TAGB1tbfLkzU+xUmUl2328zddKGSpUqkq1isVRziQJRtJwJCmd5p1M5dlHEmcXdZb8n4qw+26AvO7r3lxZTjEdLdqNXMLJ40c4cuigvBzixImjzO1bBz2jkuxV0GKUGB2Gh6u0dUn6fVBc3CXB9MC0FugYluTg09QHI2mfDl1NDV69eMTrs8upUrwoVSpVpHIpK8wMDSguef+rVy5HlXJV6TNtM6YWBRk1dLD80akXFxnIi/t23L//kAc2R2hf2oAGAxdz/+ET7tvZ8vS1e4otRsl9jJqk2MdodJ2v9DF658LwmoZY1RvJ12Ze8bu1ieKaqvRddk7hZUhp/yvpcijVK1cQ5QeXmlUq0aRBPdl8WXklwVk6f5b0BGLnttTMM5fAoUmN0dQtxsHHirsOJ3neoFP5ArSZuEvye49hRY8yyaPSFP6UA96PSvN5H4w+HKqDnR9xVhLizp45wzkFRXrfJZuHvLy6lfJ6uWg387D8kZ+LYee4ZhSv2p7jF224fuH0V57zFNfvPMT+zDIKayjTe8kF+XN8KfzJAcm/m4PmY7ZKTmQduHD6pMLnlJazp45LXusjvN9a08pSlYpdF71f5Ptz1msGUbxYNZbtOMali2cVPp+0nJH8/6/eeYHXi5PUNc5NncHr31/G/9yZRd2xKlaHcw6RknBg+35UmqLXEOfyYVTaf/vspITvO57/oGAUxsbhtcmdOS8LT6e8+KAi/rd3UM1MhTyGRpKzZul1wwKyZQfeF8uCkoNvfkx0VDCv2jtDglGM6xka5FejQMWePE+hs2a6+D+kTyUtVKVNl07fvgR3b/Mw8ihnpdPs5NXKD01uhp6GmqzTo/T69ifvh6RI66zyG6CloU/v+akLRjFB7ty9ZYPNrVvcypBymzu3b3H1wikO7N/P/gNHuHrNmjt37ny53R0byY/xuGS7Axw8eDAN5QCHDh/nxk0bbt++/eXzSuounzvJ/n37OHxcsqOwuSN7TZ9ul0KRPPb+fVvm9akl61CspKRGk35zsHP8dpD9z/1d48mrbsDiFIbfS8NTkLcr7j4hshl1317+r4+R4u1vr+mb3MfozpctheGPDtO2ZknKly0rCXOSM9PPSpXypanfpAOTJvXATN+U5RdTnl8kyNMZD78w4uU/pf1795ArixJTJ01MrpDzt99AGQMrVlxP7mMktWj+PHJmycTmjevlNd8p0YWBlQxoNysNfYwkwei2woGELu+DkcLh+kmRbB1eE22jypx3Tjn2Xl/dBx3p4qiXFE+IJx2Zp6mcA2MDPVF+cJFOD1HAOK9sqghpUc+dg1rVqnA1lZ2yAx/tpYJedqp0nceXs1O8k5xAtJIcr1SZsFt6CT0yeVTaN4fr9yMoJoG3t44wc/woZsxfy2P3NHQ6SvRlbtsiaBhX4siDL09+PG9vp5yOEsVaTMIntU0g0R7MbF0YzXzlJfsNV3nlB4nBr5naqihq+qU5cD8to3Bj2DuuAaqqpiw58+U0AOFOl2ltlRv9Uh15kupZAMJYP6AKajqF2XTty24iQS9O0cA0ByZV+uIoTUJet94HI0Xv8n/D9ZtPOkRCfDRXdi9l4pgxLN96Er80rin1g4JRKOuH1iJ3FmOWnE15YjBFpMGoinFOCpauy0jJf2rC2NFflqFdKGOsRv5KkiCTEZfSvM5Tz0QVc8kZgENK0TU9gh/RrbQqWiVaccft26/34c4xGKhko+3U5DOJQ5OaoK2hSaP2/Zg47vP3Y5SsrncLaQdFbXqlMhgJX/K7s4WiGkpk0jBjytbLqR7K+p93L45QxSA3TcftUtzUSyALu5ajcPXevJIcsL2sl6duVJpsiHEk9hf3s37jTh65Bkn2RF7cs7mOtfV1bt6w/rJI6m3vP+b5zd1UMpDOSrw/+Um/4M+stiUoVncwr+WnYSEhwTSoW0t28Dl29MMosZCHmyilZ8FaeVC7fOE8epqqsmZ8b++v9dZJhYgXdC2qTKNxB+QVX5Pa4fpj8ZN8EIFOduxct4rdx64RIA9KHjfXUVwzB81GbVZ4yT7G/Sbti2tQoOYgHFPoCxAcFITPV/t9iJLe4u/nR1hYGK8cHBjcvy/aarkx0NaQtdY5vf0Q0L8tmvPL+mKQKzsVm/Zh+9GL2N69y63rZ/jfkGbkkdTXH7AMH1lODmR+x6LoFW6a4gSPUxubYlihHyFBXuxbOpfT999ivXkaY5ccS+G3r5jv0+M0sVBHz6wsU5Ztx1pyMmd3+yaH1k6jqqkqeazqcfpZWgKM5HvpcJGOZfKgnbcoYxdsxvrmbe7Z3uL8/jV0rWmBuroRk7Zap+l1SkW736N/9Xyo65gzZNpKLlvbyJ73zO5ltCqVB7U8xVh/KW0j7MKcrtO5jD6ahoUYNW89127cws7WhpPb5tOwqA5a+cqx85aLbNsEF2sam+aiWp8VioOR00mq5clG08lHCXZ5xML/Lee5qzMrxvVly5W0zfb9g4JRHAemt0ZDSYNJe9M2r46fvI9RlT6rUj4wRT6gc2ltDMqk1McoDpsDS+jbqTP9+/ZmQIqlJ726D2broc10LGuEcbFW2KZytLbHje30696F/n16KXheeZHc171nfzat28DYRqbkNq3Llf+OPl9xdVlPdHNmpc+ya7Lb0ktpqup5WH455Tlenh8aj242FdH5+jvF+t6lsXFWlHRKs+aC4rXdvikplDV9K6KuX4Jt1l+eAT05OocCuTPRYPgWyW4aXK4uTUUwKsLhp8H4PNjHmHFzOXZoPWNGz8MxtSemCQEs6VYmebi+gjNI+32TMcmhJBtJ9/FJ1cMH9ylmZSG7ZLFh3VrZwSng4XZqFarA8ksv2Ldvt2ziR+lkkTaSIJZucYFc2L2G4zap2bFKgtHgahgWapRiMBpZy4TiLabg7eXM0nEDWb37EKumDmHZDvml/aQIDs1qj3YuVdoMX8IDJz8iIt4RER7K02v76FLZSPY5brqaloOv8CPct78nm11dOXsWKpcvy/GPwnqaJIZzbdccGpUtSL48eliam2KeVw8z8xIMm7sdr/D/jiWBrB1Sh5K1e/JIYXfBQBZ3r0SZpqPwD48nOioGP4frTO7bjRXHFP+Wv8bn6XkmdqtPheJWlCldmqIW+clnkJd67YZy+fn3zQ8V6mbPgiGtKZ4/D6YmJhQqYIKJoSFVGnZm58Un3985OcqFFaM7UcRYH5N8xlQsXYyShQtJnrcL+61fKx75+g1Bb22Y2rMhVkZ6mBgbU8gsn+TzMaBqk54cvfthnxXvYUv3Sua0GbtF8aU0t4u0KW1KtznHiI2XfC4xkTw6t5E+PQdz7c23j7sf+2Gdrx/tmYhxTiXZ5FVfS6ZhLrYsmTaJvRfvy64zBtlmxKi0RC5tmkyTGjVoJvlBSX9Uikt9GtZtzcZjF5jTpRSq+sXYeffrycj2yFoWLlnHrlVTadW4Ps0bN1TwvPLSuAH16jdl+bbDslE0ytnzsvSbc1aEsqxnBVRy5mXZ5eSUe0CMSvvBotg2pCqZ1Qux+Wbaziw+F+Z8nS7lDNA2sJKcVS3jxOlzXDx7nNXT+lJYJwdWNXpzX94j+LVsgkcVxqQ4wWNn1DTM2GPnTZS/K+5+ITjbHmDcmP/x+msjGj4T+voC7UrroWtUnAkLNnDh0hWunD/J8ok9sNTMRpH6Q3iqYJTlPckZtbSzq/SyWtmSxejathlN6talaJEiqOTIQuP6dXn8MO2j99Lvv5mva31l5mtdCtYbhZOXDw8eJo+keXNyIVPn7Jb9XSYhkCNLhlDGRIe8eU2oVLEilUtYYKStQbHKzdl+UQzT/9XeODrKLqOp5crG2NEjZQMl0ishMohXj225fP4c12/a4RHw+VlGErHRkUS8i/pkSpUPJPdHveNdZPT7IOD96AKzhvdm6spjSLJSmnm6vmXRjHEM6tmZvXsP8NTRM0M6/If4OGF7/RIXLl7h8Ws3otPaTPQRD3d3du7Zy5P7dwn2eoud9WVGDBvBmIkz8QtNW/D4UiIBHo7cuX6RCxcu8/ClC19MpJ6YIFstIjI6VnEAS4wnUnJ/VMx/71wid0+sZ2ivvmy/krbQ9sOCUazrRZpYKGNQvA33AlJ+SVdX9iKHkhK1B66RtRCFpDkYJT+32/0zLJgynjlLt+DgKznwJCXKVvn+ZpEtK5KE9dr+aGTKRodp+1MemvvOgYFV9VDKlI/1N5OHGCYqes5PSvKzSUfpmSsrUbHzXAK/8gkFPNhNVcMs5C3fjaeByd9iMVz/xwp7cZSaJUqyMJXD7L8l1NWWOQNbUqJA3uTJ8KQLQxawovPQ//HE+8NO2PX2VuqXLc/iE4rnMbLdPp6KlRpy4qG8KT3GiWXDOtJp2Hzc3qVtDxfyxoYpkrMyHeUc6OnqYJ5PHwvLonQfvZgXfinPyuXk9JYlixYwesQwalWvKpvbaPKEsZK6hQQGZtT8K2mVgOer+9jYPiJEYbNyFI4PbnH3keP7Tp2hLy8xut8gzjz6stXV581Dju9cy/xZ05g3fymHz97AIzitF1KFH0E6j9b4MaO+v5XoR4tw49ypC8ktGP5XGNh7FC/ScNLyn6NHjpBZchxUz5Wdp09+5rqDqXfi2FHZgJRRw4fJa6Bm1cpo5M6Ot1fa1kj70YJe3+bsteT30fHQbAbP2J2moPnDgpG0s9bhGa1RzZSFJoNX4KGg6d/Dbh/1Cyijkrcc++XLMaR1gsdXkueN87VhUNvWrD56jqPLRtFrzKoUpi1PWZTXbbqU1iS3XjFWnXryZbpMCOHg7C7oZJK8tm5z8UtrX6RoT+Z1LE2OrGr0nrMXfwX73cA31+lf05Rs2XSZvPOO/DWICR5/tGCXp9jcS6nD9PcL93fj8b072N69j5ufgil3v7EG3oc18hLxdXqFe7D0SxfPuol92Hwx5e9CSnwlOy8zIwNyZ1Ni0sTJ+Iam7UssfS3pnuH6F/CVhKLpo0Zz+lE6+0EJwudivNk8bTDj5yxl0eRhzNl4LuWlrL7i5PFjqOXMJptYVXrp8Hd07sxpWTCSrp/4n7o1q2OgoymbiPN3Eu5iw4QBfVi8aiUThw5lv03a9pc/MBhJduGBT5nQsig5M2WmbP3OrNh2mLv2D7h38wLrZo+gYn4VcuQ2YOy6i++vefrf2kYZLSXKd1v4lWAknehJHf1SnXkRKsksYW7Y33eQRIgknM6uovfg2Xh8R5Phi3MrKG+QFRUtE7qPmMHRC9Y8fGjP5WPbGdulNrqSA4pJuTZccvi+ZSPeOd9gQB1zcmTOTtXmfVi3+xh37Oy5e+M86+eOpoalFtmza9Bt+k6C3r/+JPaNrUtuZW3mn0y5v4PdzhFoZs5Ft7nH5TUZL9jJjuVTB1KnclmKFS9FjUbtmbvuCB5hn7UdJ0bj5+uf5s7LGSeIPcuXcvZJ+pvdfxePji5l5OQV3LpxhvFDhnDxedq/g+7u7pjlMyRnFiW2bNogr/27xXrdpV+dsvSeuo7LV6/y9GXqJpMThNSKD/fG+vRhzlyz/67LaFIiGGW8YLcnnDx0iNvPXOWNDKn3Q4ORVLTvC1ZP6EIJY23ZtO7a6sroqCmjpapK0QoNWHHo1ifLa/jf2UElgyxU7fWVFYX9btGpjB75KnT/pI+R3f551CxRmNHrrspr0s7hxh56NyyDWR5t2fBQQ10t2evW1c1L854TuPU6bSMEPhfp/ZS1k7pTOr9O8vsheS+kIy20NdQpVaUpy/dd+2xCzCQOTGyEppYhi0+nnHrtd48hTy4Nei04Ka/JWN4PDlDFWIVMGvmp26IDPXp0pXH1krLLoGY1BvLkvya0hAA2jGhLw17/I33v1Pe7urovuZVyMP5w2jtC/rYifTm/ayVzZv+PkzbSk4C0c3N1lQWjXFmVWL92tbz27/bO9xl71ixj7dpVLFm0lMs3RL8h4fcjgtHv5YcHo2SJBLg5cP3sEXZu3ci27bu4cOMePqFf9m2Qzsjs6eqEp19Iyn19EqLx9XDB1dOPjxbFJsLfg8dXt9Onaz+uOaX1WtcHiVEhXD6xl8G9uzJn5gz2HjyO/QsXolN8QWkX5PFK8n4cZseWjezYtY/rd58QEK64jSUiyBsXF1dCIlO+ShoTHoirszN+IentBKdAgj8zmpmhpF2FY4993nemT4qN4PqmkbIfS61xh+T1bnQomAvT5v9L+fP7UWIC2D+3J6qS16OkpMWsU2mbKuJv9y8GI0H4E4hg9Hv5ScHoxwp+dpF1W0/IL8e5MqpdM3be+b7LXf9ZvWKF7Euwd9dOec0/LOw5rQpkRr/mxC9nKI31YGqHGrQavZV3ScEcWzkKS+0caBWozKi5K3j40cJzHk9vsGHpXKbPXsihS/c/aSkM87zPxuWbee4XzOPL+5g5eTLLtx7DOTh1bdNRXvYMrGVFDk1LunZogGp2faYeT9vkon87EYwE4fckgtHv5a8IRpFuNxnUuglTl29h7YyB9By2AOd333Ox4YMVS5fIvgQ7tm6R1/zDEoNY2Kmo5P3QZ9DCvTxwcP9sHowEYmPjSYrzYHHvuugqZyO3tglVW/bmyts4SHrHsQW9MMiVC2PLYpQpWRhdlZxUbj+VN6HJz+R2azkmmdWo0qAmlgWtqFqtCgX0VdEv1ZyzDt/uSh/4+jxDewzi5JNgomxXo55ZnUlHf8/RHb+KCEaC8HsSwej38lcEI6kQ1/tsX7mItVsP4xyU/m6/Ihh9KvTtVbpULyB7T5RyaVOiYm16DZ/K/vO2hHyckmJf07W4DhbNZxIqr3p1fDqqmTPTccZe3IOjSIwN5+Gp5VjmVKL22H2y/jLeduswlDx31nzV2HfXhfikBFztDlIljxJ5607A5xvX5RI/GtoVcnUhKkoiGH1OBCNB+D2JYPR7+WuCUUYTwUiBKB/O7V7BwC4tKFXQUDbvhvQ9KlitMxcd5KstxjnStYQ2Fi1myTuRRzC7mTFKRnW4+NQLTzcXnJxd8fF+xaQmJijp1edZHATdX4e+Uma6rr4je9R/Lixoh1LmfOx6nPq+U0FXRDBSRAQjQfg9HT18iCySfalq9izcs0vbahE/y+mTJ2T7+zEjh8troGqFcrK5l9zd/67RniIYpUAEo08lfjYFbGSwN88f2LBySnc0Je+TYY1hSK+akfCaLsUlwaj5zOS5pJJe0L2kDllya1HA3BLzAmaYmRWgYMEC5NVRJYdBRS76QciD1Rhl0WXp7U8XJ3p9fDa5M2dn1hFHec23iWCkmDQYmRjqkz2TEuvWrJLXCoLwq127cpnypYrLFoB+/vz3HDQiXX+xcOHCLF+6WF4DfXp0p0aVivj6ft/SJb8rEYxSIILRB552e2jbpBW778lbhT6zZ0xt2Wzg+55Lr3e9fR+MZJfSEl/S0So3GsVasfPoCY4cPsxhWTnKmXMXuX7rHoGx4GW7QhKM9Fn2WTB6eXQGOTPnYO7x1E/QJYKRYtJgZGpkIJvHSAQjQRAExUQwSoEIRh/43tuMluS9KNZttcJp1XePqI5SzkKccktCuk5Vl2JaWLWaJ1soVbqu1azGRijla8DLz7p+OVzZx8a9l2TT6XvfXY2eUma6r7VLvlPu0OT6KGW34PDr1E+/IIKRYnFxcbxxfI3DyxcEBwfJawVBEISPiWCUAhGMPhIXxqq+FSTvRzZq9ZrG8Wv3cHF35/Xj22ya2RO9rEpU7Lc2uYUoyYlepTVQK9GZ286BsrmMHE7OkQWrIm2m8sAtjOjoSO4cnIt+JiVMms6SXXLzs19PPsk2uYyqsOP6K8k20dgfX4xxbiVKdF2OggU1UpRSMEqMCsb28mmu33fMkAUaBUEQ0i+Gl3fOsWHJXGZMmcz8xau5eOflJyN/k2KDuXfljGTf9Ubh/HBJkQHYXjrNrUdOn40Y/jGSEuJlJ1rx8rVA/zYiGKVABKNPJYW/Zcnwlhhq5CBTpsxkyZJFUrKSS0OfhgPm4/g+uUSyf2prskreO6Xs+Vh1WbpoZzynVozETF+dXCoaaGpqkDO3GkUaDeG2e/JsRh62ayiQNStFK9WgkLEhGhoa5JZsW6rlKO77pG2UYeD5WbLPbuT+T1etj3WxpnQ2JXRrTeRXLX/6K8WF+fDU/g43rW9g/+gFwclNeh8kxhLk541/cITCnW9ifBT+3l4Eh3//5KmCIHwQ5nqbiZ2qY2qQh5KlylCzaiUqFiuAkZ4BrYcuwlk+nUlC0D26lNClcq9lX84lJ5Eg2be1sNKmwZB1KFiWNMN4v7zB8imDaFGnMhVLl6JmrQYMnbiA609F5+t/gghGink42HP66EF27djBngNHufXE+cvlKSL9uHH6gGSbfTxy/jAHkZ/jfY4f2M32HTs5ecWO4I+abdzvrMIwUzYmHH6Jo90ldm7fIdnmHmHfseZdrK8DRySv7YnHp/MfJb7z48LB3Ry/9ljhzuWvlRDEyXWTaVypGEXMTbHIb4xlAVMq123H9vMftaoFP2Z0i4p0nrRVYQtduNNZOlYuxYTNNvIaQRC+V6y3Pf2r5UPHpCyLd1/gjYc/7yLf4efygv0L+pEvdxbqD15DsPQsJdSe9oXVKdd1seJg5HyNxmaq1B64+gcFoyTuHppHBSNVDPIXpVv/Ucz/31ymDutOFUt9dA0KMWP71b+mJV4EoxQsmv8/WTDavGG9vEb4kaTByEApE6MOpn3VeOErogNYP7wBumratOgzkf0nL2F39zan9qyhUzUzNHQLseK0fBSM/x1aWalQrsv/UNQDKfjFXkqrZaHTvLPyGkEQvk8Mh6e3QF0lH0vPKBpxG82mQVVQ0SrGUYcoycnmYzoV06Zij6UptBhdp5mFJvUGr/0hwcj9xibK6manVJNh2L75tL093OMhU9uVREXdjBVnHeS1fzYRjFIgHcFz6dIlvLz+nhXaf2euNxejLAmiA3e/ktcIGcF+1xgMc6nQe/GpL3aoCT62dCiSC42ibXgqXUEn7B4dS+pSrddiFC2oE+JwgMr6qvRYdEFeIwjC90gMeEy3UhoUajgGry+a3JO9832Njc1dvEPjSQy5T8eiWlTpt05+72eC7CUnNZrUHfQDglGMN7PaFELHvC7X3RT3YEr0vk2bwmpY1B+Oyw9YrvNnE8FI+C0EvD5Hv7bt2HHbW14jpFusK2Pq5CNfhZ44ft6fSO7JuS3MXbyRNyGSvXOoPR1L6FCj7wr5iMJPxbgco6oIRoKQboFP91NRV5lWk/Z/2RVBgYTAe3QtpU+h6h3ZtHkz26Rly4eyZdE4yhpq0HhYxvcxCnM4RU2jnNQbtpmUe3smcmRqMzR1irL//qdTrvyJRDBSKA4ftzc8e/yQBw8f4uDoTJiC9svE2CiC/H0JDo9K+cudGEtIoD8BweF8NkeiIPxQsW9OUMMoNw3H7iRVXbX879KptD7l207gvqOjbGi/o7y8kdx+cGEFZfXU6LlYBCNBSA/Pe+sppqYq+S2dl9d8XUKQPT3LG6FvYETxwoUoUdhS8mdyKVG0MMWtTMmjokHLURszPBg5XVuGpaoaA1dfl9co9nTfBPKp6DLr2CN5zZ9LBKPPONw8zNjuTShZwAB9DWW01FQwzGNErabd2Hb23idDIX1t99GqUmF6zzlIpLzucwk+dxjctAL1u8/CI6WNBOEHCLuziWK6qvRZdlFe8w0BdvSsZoaejj6WBcywKpBf8mdysTI3xdJUsmPW1KT/skvyBwiC8D38Hu+hrI4K7Wcdk9d8XUKgHZ2L61C2/QycPLzw9HDHwz25eHp542Z7iAYFNGkwJOMvpTmcm4eZsiajt346x9zn3hyfhamqNpP22ctr/lwiGL0Xw+WNYymikw3NPOZ0HjCKles2sn3TGqaP7EZJw5zkUjNm4sZL75sT3S+uwCKXElX7pjwSIMHtPPXyZ8egQi/eZvjFX0FIWbjdVkroqtBr8Tl5zTcE3KVLOUNK1O/F3hNnOHXiGCeOJ5dTp06xb+14iuuqS55PtBgJQnrEetnSupAqFbrMf7/Y9ucifZ9zcMcenrgEkhT2QNb5ulKvFYqvTnjdooXll52v475jVO/n3G+tp6i6Mr2Xfv2EyH7rMAxUDVly4c/vgC2CkZzj+SUUVVPCuHQLTtx3ldd+4H5nDw0KKpNTtzhbbyTP2eB5ZQ3FtZSoM3h9ysHI/RJNrdQxrT4AJxGMhJ8ozvMiDfKrUH/4lhQnfYsL8cbxrRtRsZI9qOSsVPQxEoSfICGE1X0qoGFUmTOOii8l3NrQDxWlHEze/1KSpJ6lelSadGa4WK/HrJs7kXHjJ7Pv0qN0deOIk4S4tkXUKN12psLRqskiWdu3Ipom1bn05s/vfS2CkVSUM2Prm5FL05K119zllV+yXjeIPLlU6TXviCy1+1wVwUj4jSX4MbN5QQxLd+RFCt+92xuGYJq3CJtv+UH0EzqlalTah34RUVFpm3xTEIRk3ne3U14vG2Waj+Ce86frUL6x3kZNk1yYV+/L63BJRURyi9G3g9F62UnQyzPrWLbtIp6vLjJqwBgeKF7mMpWiODK9JRoq+Vhw/Km87lOu19dSQiub5Fi4Lnnx8D+cCEYSAbabKKmThaKNx+L9lRnOpTMHP7K7i7N38mFD1mKkqUS9EdtktxUKsqFFIRGMhF/j6ZFpGOfORZfZhwj/7Lsd6niJ1oVVMSjTmcchCRBun6rh+r2WXiMu0oMdCycxZuRo1u67QkQGNNkLwr8ljlvbp1AiT27ymhWnU68BTJowlkGdGmKhq4xZ6aYceyBdOQASA+/Q1EgJq9ZzFbbmJry9RA1dJcp3Xyo7SY+PjiI6zJMDC4YzYPxq/NI582J8wGNG1CuAuq4lU9YdwcU/iLCwMIIDPbi4Yw6V8uXGuGx7bjj/HR1pRTCSuLt5JHlzKdF66uFUDZ38j4ckGJXUzUKFNmO5aH2Dm9bXufFRuXnjBtaHl1LDTI0CNQeKYCT8fHF+bBrZAK1cqtTvOISt+w9z7swJ9qyZSaNiemjmLc3Gq2+St/W/TStLZcp1TmmCxz2UUs1C16XX8X9+mVWbj+Pn/YKZwwdz5XUK8wEIgvBVTnanmTOyFy3q16Jereo0bNSCsXPW8tjzwyWpxHeubJ0zlkU7ryi8LJ4Y+Jp1M8awcr/1hxalKHcOr55BvyGTuOcubXZKn0gPe2b3aYCZngb5zSyoXLEcJQsaYaCbh7odRmLtkK5mqd+KCEYSZxf1QC9rVgauuSavSR1pMCpvrEIeXR2M9HUlRZu8eh9Kcp0OhlrKFK43VAQj4deIDuTE6gnUK2OJeX4TChc0lfyZn9qt+nLc1lm+kUTwE0a3qkzXySktCXKOTlXLMmnrLZKSEkmMDubEytF0GzSHt2LEpSCkS2JMJGGhoUSnu/U1nsdXTnLnTfKPct24nqw+/1b29/SLwvH+DfZsXMH8ubNZuW4b1+yeE/6XtRiLYCRxfnFP9LJlYcCqtAej0vrZKFW/B+tlE21tYuvmD0V6e8viMVQwVqVgrUEiGAm/VFJMGE4vH3HP7h6vXXxSN7fR1ySEc+PYekYMHMGtp8lN/oIg/Hovzq1h0MDRrFoyixFj5/LcV1HPJCElIhhJPNg5HqPcSrSecvAbl9ISif+on4a7JBgV01Si/sgd8hoFQm/TorA6+auJPkbC38PZ9iTHbySv8XRszmD2H7wr+7sgCL+DOJweXuf4yQs4+4vm3LQSwUgi9OEuyufJTtHG4/D+SjJK9LRnSp/WjFqwhyDJ6baf9ToxKk34JwU8P8vYQf3539zpjBw7i6ee6e/DIAiC8DsQwUgq1p0pTQrKhuuvu57yorF220eiraREibYzkS4tFWC99ruCUbDbM27evINXWDqHCgjCLxTq+ZIb127gGiidOUUQBOHvIIKRnMOZRViqKGFavi3n7rvx6cjmBF7f2EGDgirk1ivBNpvkuY7SNsHjQDzik3C5uYO+XbsyZtQwBg2fycOPRh4IgiAIgvBriWD0XjgnFvbBOLcS2nkL0W3IRDZt28mebeuYMrAdRfRyoKxhzIQNl79zSZC+eMTFc3P3IjadeSm5J461Q9syY+/j5A0FQRAEQfjlRDD6WFIkd4+voVujClgY6aKvoYKOhhpGeY2p2bQbOy48fh+KpHxu76JRKVO6TNuT8iKy3jb0qVuc6h2m4PbfRlF+HFsznpYte3HVSbQYCYIgCMLvQgQjRZJi8Hz7jDs3rmNtfZNnju7EKOqUnZRIQnw8CYlfmS6bJNk28QkJH0a8hbxh1/JJdGrbme3X5JPrCYIgCILwy4lg9FPF4u3mTIi82enZwWm0GzA/xdYmQRAEQRB+LhGMfqp3bBnXkWGLThIW7s+Oqd0Z/L9DKa58LgiCIAjCzyWC0U8W9vYms4f3ol/vHoyYvJxXgSIWCYIgCMLvQgSjXyEphsCAoM+mBBAEQRAE4VcTwUgQBEEQBEFOBCNBEARBEAQ5EYwEQRAEQRDkRDASBEEQBEGQE8FIEARBEARBTgQjQRAEQRAEORGMBEEQBEEQ5EQwEgRBEARBkBPBSBAEQRAEQQb+DxomIGNvCDWaAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
- (X) is optically active while (Y) is optically inactive
- Both (X) and (Y) are optically active
- Both (X) and (Y) are optically inactive
- (X) is optically inactive while (Y) is optically active
The correct answer is: (X) is optically active while (Y) is optically inactive
Related Questions to study
chemistry-
Observe the esterification mechanisms for primary and tertiary alcohols.
Type.1![](data:image/png;base64,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)
Mechanism
![](data:image/png;base64,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)
Type. 2
![](data:image/png;base64,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)
Mechanism
![](data:image/png;base64,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)
![C H subscript 3 end subscript minus C O O H plus C subscript 2 end subscript H subscript 5 end subscript stack O with 18 on top H stack ⟶ with text Conc. end text H subscript 2 end subscript S O subscript 4 end subscript on top left parenthesis P right parenthesis](data:image/png;base64,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)
![C H subscript 3 end subscript minus C O O H plus open parentheses C H subscript 3 end subscript close parentheses subscript 3 end subscript C minus stack O with 18 on top H stack ⟶ with text Conc. end text H subscript 2 end subscript S O subscript 4 end subscript on top open parentheses Q close parentheses](data:image/png;base64,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)
In the above reaction (P) and (Q) are respectively :
Observe the esterification mechanisms for primary and tertiary alcohols.
Type.1![](data:image/png;base64,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)
Mechanism
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkcAAACBCAYAAADKbR53AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAE2WSURBVHhe7d0FWFRLA8bxBaW7FAUM7O7u9trdgd3d3d3dndfu7hYbDBAEUUGkRbr+39llr6LCCoj3U+78nmeeexmOu+zZ3XPeMzNnRoYgCIIgCILwmQhHgiAIgiAICYhwJAiCIAiCkIAIR4IgCIIgCAmIcCQIgiAIgpCACEeCIAiCIAgJiHAkCIIgCIKQgAhHgiAIgiAICYhwJAiCIAiCkIAIR4IgCIIgCAmIcCQIgiAIgpCACEeCIAiCIAgJiHAkCIIgCIKQgAhHgiAIgiAICYhwJAiCIAiCkIAIR4IgCIIgCAmIcCQIgiAIgpCACEdCOhbHp0Bf3nu+4Y3HG7w/+BEaqfzVN6KjIggLDSMyOlZZk5g4oiPDCQ0LIyomTlknCIIgpDciHAnpkvvDsywc05O65Qpim8WULOam5M5TiEbt+rL52B2Cv8o2UVzcMJ6mtZqy4sQjKQIlIe4TxxYOoEHj1my+9FpZKQiCIKQ3IhwJ6Uww59eOpGw2fXR1DClVuQ49+w5g5JC+dGxYCVsTDfQMs9J16g4+RCn/CeFsH14HHZkmfVadSzocxfqzvEsRZBmNGLPdUVkpCIIgpDciHAnpSAx3to0mn4EM81yVWPT3FfxCw4lVpp3oiBAen1lDw0ImaGpbMnztZSIUvwln95hGmMqMGbTuoopwFMDqnmXQNbRk4u5nykpBEAQhvRHhSEg3Ql6fp21hY/QsCrPwpLOy9nvP9k8ir5YM0+JtufFOPggpWoQjQRAE4TMRjoR048aqHmTWVqNSl4UEKOsSFfqSNZMHM2bGBp57fx2OBq+/FL9NooJY00uEI0EQhPROhCMhnfBlcacyGGqZMGyLvbIuub50qw3ZeFVZl5hPrOtdVoQjQRCEdE6EozQVg9fLexzesoIZ40cxZtRo5i1dx9lbDviHKTcRfo2IRwypkRMD/UKsuuGurEwuKRyNbUJWXQMq1G3B4EEDGDKgH4O/Kv0Z2r8Hf5XKgamFDZNEOBIEQUi3RDhKI7GBrmyb2p2S2Yww0NHFJlt2CuXNgbWxDkZG5tRoNZhTD98otxbSXNAtele0xsC8LNvveyork0sejpphY6RHNuus5MphTe5sVuRKWLJLddmtyJHFnEyW2UU4EgRBSMdEOEoLH1+ywK4iBhkyUrx2J9YfuMjT5064ujjjePcsC4e1xlZfRuYCddh5UwSkXyLsAQOr58DAsBgbbnsoK5NL3q3WGPMMRnSdsZUXTi9wevH8m/IC5+d3mda2GPrGWUS3miAIQjomwtFPC+P0vE5YZMxADbtZOPvFKOsTiuDG5lHkN5CRp0Y/HiW6jfBz3jO3bXEMtbIw5dBTZV3SQgJ8CY785760+DFHJjJjhm25qaxLTAQb+5RDR4w5EgRBSNdEOPpJEW8u0q6oPuYFGnPO/fOsgokIYE2fSuhqWTB8c0oHDAs/FsfZuW0w09KgyZjdRCtrExfE5tFtqFq1MRsuuEo/x7JnrLiVXxAEQYgnwtFPenZkGnm1MlJnwBo+KeuS4np2AYX01KnYaS7eSZ6BhdTyf7idqlk1sSzUmNNu4cra74U67qNeTg1keoVYd8Nbqon7iXAUjtPdy1y4Yo9f0k8pCIIg/EFEOPop0Zxd3AljDRN6L1M1P068cKdTNM2rQY7K3bmnciIeIVWiA9gyvDYGauqUbzmGu+4flb/44tPru4xrXgxdmSb1Bq/BT7EQbUSKJ4GctNdJ+jmYwwsG0rFTT4b170rfcStwDRSpVxDSt2jcH11m06KpDO/fnR52XRk8bDSrth3B2TtUuc0XnzwesW/zKvadtSdYRZN2oMd9dq9fx6ELjxA3N///iXD0U8I4NKkxenqZGbXlgbJOBY9rdCppgGXJllx9q6wT0lTEuzuMbFwIPTUZuUrUYOT0ZRw5eZaLZ46wYd5oGpfOhq66GsUbDOCWxz+HoHB2jWqAkcyAAWsvqAxHq7qXREvPgkl/u8JHB6YPGc5ZNylhRb1kZIsGLBUL0gpCuhXi9ZBFg5pTwFIfIz0DsttYk8/Whmzmehjo6FCg7F+sOPoQxTWX0uuT8ylqIqNIi0m8/j47ffbixDRya2lQvuNcfJR1wv+PCEc/JYJjM1qgr2PBsE0/HkcU43aJtkV1sSrTgVvy3hzhlwj1fMKqcZ0pY2uBqZ4mhjoaUtHESFebrNkK0HXkIp68TdgJKr+VvzFmaiYMXq+65WhNr7LoGWVh0p74brXIiCjCA19zasMUOnQcxJXXIYp6QRDSlxCPmwytmwftDFqUa2DHhn0nsH/kiLPTM+yvnmb5mI7kM1HHMGtJlpx4rvxX8eGoiLGMwi0mqgxHz49PJZdmRsp3EOHodyDC0U+J4/a2oVhp6NB26sGkT6pKPvd2UCWTOkUbjcZV1dhtIQ1E4+PxjMsn97Fl3SrWrFrDnoOneOLqxfe7Po5gX09cX7riE6Ti6EUsQd4euLi+wi/4y7Xh61t/M7BZRWq1HMZdz/ilbAVBSEdifVnfryp6ahrU6jEPl4+J3XEczulFPbHRkGFVthM338QPQnx9agHFzWQUazX5By1H08mro0XFTvNEOPoNiHD0k4Ie/U0t64zkqjmApz8YkX1haRfMMurSfvqRRE7Qwh8t7hPbx7Sg+zTx3gpCeuNzex3lM2tgWaQplzxUfMM/PWZYg0LkKd6YvfbvFFUeIhz9kUQ4SqVPwcHExMZCzAdW96mInoYZ/ZeeSfLEGPDsMM0LGmKcswYHnwYpa4U/WbjzKcYMm4qD8i61ozPa0Xns34i2I0FIT2I5NbMNFpoy6g/f+oPB0rH4e73hzVtvQiPjW5cULUemMoq3nYmvoiZxHhfnkk9HU4Sj34QIR6nw7OlTGtStzbEjhxU/f5ROku1LWKBjmJ1+M7fi+DbBXVKR/tifWk/bMlnQ1snEwFUXxcnzX+Tu7sbSxYs5efy4sibtxH1yYWHfZnTsN4Gls4fRukU3jjqIwWSCkL54s6hzOQzUzBm1/bayLvnk4ahkpgwUqGXH3pMXuXzxPJcufF0uX7rA9jk9sNXTpZIIR78FEY5SyOn5cyqXK4OpgS6nT55Q1kKA43G618iHiY42uQuVplnLVnRu35KGVYqTzVgbC6tCDF9yhI+qZycU0thRKcDKZDJFmP0VYj6+5tTONSxfuYnbLuKQJgjpTqwzE5sURFcrD/NPpXzyV3k4KptdH8tMFlhntsAmsxnWmRIWc2wszbG2tCCTsTHVOotw9DsQ4SgFnJ1eULlCWUUw+nvPbmWtvN6Z9++9iAty5+DaGfRoVY/q5UtRoUwpatZpwMCxczn3IKXrfQlp4fSpk2SQwlG7Vi2UNYIgCCkghaMJPxmOSmXVJFepeoydOoM5M6cz+5syZ9Z0RnavTzYDfaqIcPRbEOEomeQLj8qDkbGeFtu3blbWgqODA+VKFaduzeq89/6grI0i4MN7PD3f8zFcrKP2/yTCkSAIP+cDi7rKu9UyM27XXWVd8n0ec9RuFn7KusS8vTRPjDn6jYhwlAwvnZ2pWrEchtoabNqwTlkrH3vkSLWK5dGQTr497boQGCCmvf7diHAkCMLPiVMMyM6kqUazCX9/NcFjYpwu7GLZ8jXcfB5/t9qb0+JutT+RCEc/4OT0QgpG5dHXysjaVSuVtfDU0YEqFcqiKZ14+/XuQfDH75eqEP7/RDgSBOFned9YQWmLjGQv15V7/srKxMR5Mat1IWQyNewWn1NUvfvpcBRLePiPIpmQ1kQ4UsHZyYlqlcqjk1GN5UsXK2vj71aTByZ5i1HfXt359ClY+RvhdyPCkSAIPy38LbPbFEVbw5D2k3fzKYkZf+/vnkARExnmBRtz2jn+gvln5jkK8XzAiklD6N+nD7PXHMI7TKzd+G8R4SgJ8q606pUqoJNBxoJ5c5S18PzZM0UwkrcY9e3ZnY+ixei3JsKRIAhpwefeThrmM0Bb14KWA2Zx5tZTguRjSuOi8HZ9wN6FQyljrYO2QXZGbbj2uftNMeYoheFIMR9STCCbRrbFbsIGHjy4xaQujZmw9Y5iW+HXE+EoEfJgVKNKRbTVZcyeMZ24uPi0rhhjVEnZYiQFo5BPP5gSW/i/E+FIEIS0EcfLixtoU8EWQ+mi2SyTNaVKlqJy2ZIUy2WpqLO0LcnYlccJjlX+E8mrI9PILh2DstUdwSsVSy8+PTQWc2m7gk2moLi1JzaU5w/uoVgGMvIjG8d2YvSqi/LfCP8CEY6+4frypRSMKqGlJmPKpAnExMTfbSa/W+2fYNSnZzc+BolZrv8EIhwJgpCWQr2esn/tHIb2aEezejWpW7MmzVu2Z/T0pVx69P2ULYHO11g+YxzLdp0nUMXKIz4vLrJo0kTW/H2VhBkq1vceUzpWp1jZppxwVj0/t5B2RDhKIL7FqJKiy2z8mFFERcV/kuVdadUqVVAEo97d7USL0R9EhCNBEH6NWEI+BhIQEEhoRIKmorQW4cOTu1dZPsqOflO3E/ALn0r4QoQjJVcXF2pVq6IIRiOGDSYiPH7BLPndavIuNkWLUQ/RYvSnOXniuGKG7JZNGytrBEEQ/gDhvlw7exZ35bDW0GvLadx8IA5i/al/xX8+HMnHEzk4PJGCUWVFMBoyqD9hYfGj5p4/e/q5K613D/ldaaLF6E9z8cJ5MltYKFr8BEEQ0kp0dDR+fn74+voSGqpipHVqRbxlXtdadJmyG3d3J9aNaIvdxG0EixvW/hX/+XAk7zrr0rGdonVBPsg6ODj+tnz5UiE1qlaKD0bd7AgSLUaCIAiC0qOHD8id3Zos5sYsnD9XWZu2PrpeZ86w7th17szQSSt55isW5/y3iG41yflzZxk9YjgB/vGze714/vxzV1rvHnb/6dv1owI8uHhgAzNGD6JPty706tWXybOXcuaOcyIzxYbw8Nw+Nm7YzeN3KsJkRAC3jm9nw/b9OHn/ujbiEK8XnNy5khljh9BPCr59+g5k5qJ1XHN8o9wibQS/e8aRrUuZOKwfvew607tPf6bPW8WFey8TnU03JuQd5/ZuYtveM7xTMW9JlM9Lju9cy84jV/AT4zAF4bdyz/4upvo6ivPE9KmTlbW/QiwhIeIA8G8T4egbD+/fp2bV+EHZvbr9l4NRKPYHFtGifB4s9DSxsMhE7pzZyGVtgamuBuaWuegwYikvv7r94h2zWhXBQCsXCy+8VNYlIuA5I2pnRSdLcTbdUDXdbCpFBXB2/QTqFLGS/lYtLDNbkkf6222zmGGsrUGW7EUYMHsX3j97vIkO5PxG6XmK2kiPmxEzUzNy5YjfR2a6mtI+yk7LvjO49+brz1DY2wu0zmeAZf6mXPyQ9O0rQfd2UiubjGxVuvPon2X7BEH4Ldy/Z09mUyP0NNWZNWOaslZIL34iHEXj9fIRF04c4sCBA5y7chfPwO9bAeJiIvH39uS9TwBRSV0kx8UQ7OeN53sfwpLc6OfEhQfwzP4yxw7u59DhY9x+7EJIImvCLpg7R3Ebfw+7Lv/hrrQwLq8dSn4jNUysijBw2irOXLnNsxcvePboLid3LqJthexoq2lSu/ci3ny+7/QdM1sWQl8zJwvPqwpHzxheyxJty6Jsup7G4SjWj71T22KtLSNLvkpMWLyVizfu8cLpBQ73b3B43WTqFTRDS8OIDlP2EJDadYFj/Tkwsz02OjLMbYoxYOoKzly6xbPnL3j66A4n96yge70iGKnLyF+tG5deBir/oTwcnadVHn0y523CBVXhyH4HNW1kWFfuxkMRjgThtyLCUfqWinAUjevNvxnatib5pStkK8tMZM9qQRYLMwqUqM7ElUfwTZCRIjztGVArLxUaj8YxqR6UyDcs61OdvGUbc9ghjQe2hftyev1UmlUsQPbM5mTLmplslmbS321N1cbd2X31JQnPj97e3mzdvAkfn//u2ejd7c1UyaqBcbZyrDr9jMTi6sfnJ2hf2gL1DBaM3HJL+lTIvWN266IY6eRm0Q9ajkbWsULPqgSb07TlKA7Hw9MpqC8ja9FGHLCPX/jxW29vbKS2rTaaBnlZfMY50df3I08PTaWgofQ8hf5ix5WXJHZ3bZT0Opf0qqoISOU7zuaNsgtN3nLUJr8RWQs0+2HLUe0c6mSv2kO0HAnCb0aEo/QtheEonJtbx1Iikybm1oWwGzaFDVt2sH/PDtYtGE/TUjboaRvSctRGPigHW4R5XKVlngxkKW7H/fi7478X4cbUJrZktCjOdnsVU4imUGygi3RyqoG5tgYFyzdk0rwV7Ny9hz3b1zN7aHuKZNbCJGtJFh9/mqoTZLoUE8CaXuXQ1jCgy+yTXwXHb91eN4jC2W3oPH0v8cPYPf+v4Sg2xIUJDW3R1LVm7LYHytrERHNoSmty58jLiLWXVb7GRIU6MbquLbr62Zj09xNlZeJiPtykW3lLdA1tmXcyfp+Ei3AkCH88EY7StxSFozc31lIhcwYsCzVg9/VX310th7hfY1DtHGhoWzJm2z3FSSfyzXXaF9YjZ7lePEwyHLkzs1UB9G3Kset+WoWjUA5NbYFphgzUsJuNo/e3LVLRPDkyh9IWalgUbMr5V//dQdcJRb47S8sCJpjZVObv56oX1I0N9cf99Wt8g0KV4TK+5chQJw8rbnoqahIV5cG4+tboZk3bcOTzYCuVLTTJVrINVxWLEyUt6uMH3F6/JeBTUh/KpPndWEVZy4xkq9gThwBlpQoXFnbAVFODOgM3KAZoR3lelMKRIVkLtuSWiobSmGcHqJtTnWx/WDgKCw7gw4cP+PoHKVsUhdiIT/j5fMD7gy8fQ5MOxN8KCfL/vC+T/6+Ef4MIR+lb8sNRjDeL2hdDV8+GKQeeKiu/53ZmISUtTWg0eA3yURax7278X8JRyLN90olFiywl2nHjXVKHlXB2jKhL1qwFmXP0hbLuv83n8mKKZ9YkZ9X+OH1MaXuaPBwVx1QvG4MXb+fK5Utcvnjh63LpEleObqFjeUuMbEqmaTh6tmckNvoalG07K37hxl/kzrpBZNeRUa3PKvyTMVutx7VllDTISIGaA3CWrhji3l+ibUFTsuSuxtJDZ7ly6WIi++kyJ9ZNpLx1Rmyr9/wjwpG7/UmmDe5K9TKFyZk9O3kKlqBx54FsP/uIP2XeunD3W0zs3Y1xq04oW0O/Fcuj4yvpZtebv28l3m2bUNxHN/5eOp4WtSuQ1zY72XLmplSVBgycsor7r5O++HC9c4xJAzpRuWQhxb7MXaAEDdv3ZfWBawSJZu7fgghH6Vuyw1G4837q5NAhW4UeOH4ZW/q9yI+4PHuCm6ef4qox4u112hfSxbZCf5zjt0iEHwvaFULPOq3CURxXVvQmi7oGrSfvVXlgDvN7jcNTJ3yCUt6CkB657J9EXhM1irScyvsU75J3zGlbGktjI2wszbG2tMA6k9nXJbNUl1n6nYUhWfKUTdNwdHNFdyz0NKg9aOMvPBnHcWxWeywzqNNK+mwl59Pq53CAetYaZCvdhpvyMf4fLtOhmCUWFubYZDaTirQ/vt1P8n0nlazG2hSo3es3D0cRnF4xlBz6MmQyXYpUrEP7Tp1oWrs85hmkOnVTesw7wi+YJi/NfbyzAWuZDMt6k/FW1n0thv0T6yrmRRuw8bGyLglBL5jYsrBiW4s8pWnSpiOd27ekYhFrRZ1JsZacfP7twTRc2peDFQP9ZbKM5Ctdg9YdO9G8fiWy6srrNKnefTYvREL6vxPhKH1LdjjyODqDfMYyqvRaSWAK1nYJf3NdOhEYYlO4EWuPnebcmdOc/aacO76NntVzYpKzQhqFowA2DKqOjlY2pu19pKwTksP14CTySeGoaKtpqQtHbUpgbpCF5j2HKg4Ys6ZP/brI68YPpk4hc0xzlE7TcHRnVQ8sdKVwNHjTL22pODajFRZqGWg7fT/JmQ3A/+khGmTXwLpkS67Jm7R8LtO+sDmW2YrTZ+xkZie6n6YzeUA7ilhqkLvG79xyFMuTvePJKp3sjfI3Zd+NV0TFKE/ccTG8vX+YJnl0pZN6FqYeeRZf/xsLvreNAhoy8jSfFb8y+ndiODKjmSKkjNjuqKxL3O3VXVGT9kudERvxDP3SwRgT5cexBV3Rln6Xu9V8/D7nnDge7BhJZqneME99tpx3ICJaebCV9mWA600mtS6mCFbleqzAP7FJtIR/jQhH6Vuyw9GjbcPJqSej2fg9KboCDH9zgy5lzDAz+3J1bJXJNEGJr8tqZoB1wWrsTpNw5MXCTiXRNCvMirPfr5IsJM33ylJKZNLAtuZgXFO8WsqXMUcrb3kp6xIR/YbxPxpzFObJngVD6dK5K3179VBZ+nTrxKCJKzm3cgh5TLQp12m+oks3eQLZNaM/dl3tEn3shKVXlw6MmL2edVP6kkf6LtQfsTWJrpevedpvoKKJBnkqd+eJvIfX+5JyzFErbqtIV7HPD1LvNx9zFB34mM6FtJEZFmOHQ+Lj9t6cn4uVdEK3aTwDn28urEIDvXC4d5u7j57zIejbSBvDuxcPufPYVdEKHfXRk8d3b3Hf0YXA8CSu0KLD8Hz1jFu37uLk4ZPiMU9pF46iWd7WFlmGPOx/mUi3frgzfctboJOzMVf84qviPG/Q1FYTWaay7HVI4ssX9oqhVa2RqVsw+9QrZaXw/yDCUfqW7HDksHOUIhw1HbsrWV0J/5C3HHUsZoh1gTrM3byd3Tu2sXP71i9lxw72bllMh0rZMLWtmGQ4io0KJzgoUDH3kOoSTHiIG4vsyqBlUpBlZ9yVjyAkR+Tbs7TMb0ymXLU54aa6XSQu8Bnbli1hz4mb+ITLL3+90u5utRB3lgxoQMkSpRTr26kqVcoWo06nCdw6uZba1nrYlu/KvR+klpC3t1i/dDVHTxxlsl0typctk+hjJyyVSxWhUe8ZnNixhIpZM5Cv7kheJeNK4d6WAWTRzEjlzguRx4doxYDs9HG32uvT0zCSgk+hrmuTbq0L9+X8/j2cf+D2ea6z2OC3bJ3Sg/zm2mhq6aCjpYG+dQmGLjuG3+dd8pGlncuTs2QzFi2bRcUcRujq6ZBBPQM5y7dg+62EFz5xvLq2nU61iqCtoYmurg4amkbU6jKFh9/djJE0RTjKKCNfq/lJBt/Tc1tK4UjjB+Eojr+HV1KEqPYz9vH9nxCH7ztXXNzfE65McI92j0RH2peVBu9QGercT05U7POCXVcQInrX/m/u3L6lmB1b3pI3cdwYZa2QXiQ7HL0/v4DCpmpU6LYU/xTc+ywPR/IB2bYV+vJcWfc9b+a1LahyzJHrlbW0rVaZenVr07BeUqUWtarVZezCNSyf2BRjLSsm7rqvfAQV0uMBJi6O2NhUvLAYX5Z2KYmOjjmD1t5SVibu1bFp5NWWYV6yC48D5M/l/ZPhKJaI8C99BeGhnxQzlAcH/6BI24SERRIV+IJRdWykUJyXucfdlI+SuNtremAuHdTyNxyHW9AnQj4FJ/7YCYv8ecKjpOd5xICq0t9vmp9FZ1U/D+EuTGyUT9qfmRm982F81bv0cyv/+RmNpZODOr023VXWJEO0L2t6V1CcVMq1Gsq2PfvZt2sd3Wrnk+q0aTn9kDKYfGRx5zJkzJABnayF6TFhBX/v38/qKd2xUpehW9SOx8oE8/7BDkqbqSHLXIoxS7ayf/8+Fo9oib70HDZ/jcftY/LGAgTf205h6TNtVbUPJ+7e5fbNG9y48U+5hf2968ztVVX6O3UY+YNutSCH/dTIoa14nfnK12fguJlsO3gOp3f+icyLFc7OUdWlbbUY9beLsi5x0R+uUtdChlq+jjh+Euno/8U/MIgD0udx/997cXVRcbwT/kjJDkdR787SIp8hVqU78/BLJ/n3Pr5gTt+mdBy6AGfpwBX3/maa3K3m+egIUwb1Z8TwYYxOsgxl6IAhrNx3iSs7x5BLKwNNxu5QOS7E0347HRs0Ztrmi790nMq/zePyJkbN2UIyzwlfcTk9lyKGMqyLN+P408S7SmJ87zG0fl601Q3ovvCUcg2x1M9zFPbBgTVTh9K/dx9mrjrIexVrjiUtllsbB2KjIV1V1+nLHa/EB2WEupyifelMaOtaMWF36sak2W8ZQnbpJJqrUmfOOScxDUTsRw7N7IiVpnRyrDUAR7/4q4r0NAnkzsHlpBO6AVNPJf9uT58bS7GUAkOeVtPxTNhEEuxIn/LGyPRKcvC5/DgQzopupaTHz0jnxefit1EIZXlX+dibrKy8J3+AcFbZFZR+tmLu2dfxmyhEsGlQHWyLNuWMyw+aEpWC7++kjBQ85IFGTV0dNbX4/48vamTIIAUw+f+rmTNmh+pwJOd5/xD9m5Qjk96Xx9E2zETZ+l1YeegWwZ+/n/4s7ZBf+r0li6/+YFqRYDd6llBHZlSDsyo+P3+GCDzdXvDQ/jY3r1/H/v4jXr1T9jN+IzbyE96eb3nvE0S0isNDdLi03bs3ePv96qkkwvnk/x53V2cePnjI/YcOeHz4wXuXKlG8d3fi8b3b3Lh+jTv2D3B280x03ca0ES09n7Pi+RTvyb2HuLz58EvaEAI83XB8eJdbN65z5+49Xri+lfZqImIiCfjwjndeHwhVtYpGTDh+3p54evkSrupDkgzJDkfEBbGuT3n0dCwZvT3p1phXpxdQUEdGzur9cAqV/plX6sNR2KdPRKbi5C4X6XaK5gX0yFSwCeeT7B4KZcewmmjKMtB+zinFvEzphfOBaTTpOSNFrXyfRfiyeXg9TDNIJ//SDVmy6yTOnoGKq93Ij97Yn93FwEbFMZSu3os1GoaDzz8H6JTPkL3ltvykFcLOce3pMHwl9+7fZFq3JozbdDN+25QKcmF2h1Loq2egeO3ObD5yCQ+/+M9UqJ8HV4+soWPlnOioZ6RGjwW8TfG4KqVQL9YOqo2JtI9sS/7Fop0ncHrrrzhoR4X44XDjGLP6/IWV9F2wyFODLTe+LHabnsLRriHlpRO6AVNOJj8cnZ3eUPo3ekw6/P2/ebC6k/S7DPTf4SD9FMuKTkWQaRZg54Ov36jjs5tL2xkz/7L03kY9p42tDK1S/fH4ZnfGhATwIeBTIi01iZO3HBXVl2FW8C9mLFnCku/KIrrXlwcxfUYlIxzFi8b9yQ12b1jO6P5dqFwkm2KgtvwxWk3YI8UiSVwAi9rlkeqysvzmD4KcFI56lcyAzKA6Zz5/9/40cThd28+47k0pm8+azIbaGOpoYmpsQsHilRgweRWP33193A54tJtWlYpSv8c83qq44n1zYxstSuejxeBlvPkl6SiM+yc3MqhdXYrbWmKuH/+3m5taULx8bcYu2sWrgFSeuL7hYX+cqf1aUaFAts/7yMTQiNz5itG+73iO33ZVbpk23O8cY5r8+Qpmx9JIRzqWS++JkRH5Cpej1+iF3HVLmyW1/J1vsHx8D2qVzIuNqZ70PBoYG+iTM3dhWvcax+kHX48VjpMunie1LUvpOp04/SLpZoxYv1uMaFKBCvX6cvNtSkZHfy/54UjiZb+ValYZMc9dg41nnnyzNlkcng+O0LVCVrT0szFlb/zMwSmbBLI8ex5LeTjSl4NLRtG1Q3v6DJnKVedkzLT3nUhOzmmHRUZ1KrYdL72p31yNRAZxZcsYipjIsCrRhmseP7cjfzcvD8+mVf85qV47LDbYhbUjW5LXVBNtLT3y5C9ExXJlKF8sHzZGGuhoG1G9zXCuuiY8kL9hYj0b6QBvykxVLQn+jvQtq41MOwerr8jf2yhe3Lfntfw2yOgQtk/swoilZ+O3TYVIT3tmdquJjb46unpGFCxUlErlSlO2cC4s9dTQN8hM076zcfT9uRNLXKgHW6d0pWhWfXS1dMmdtwAVypamfPEC5DTXler0FF/mPdfdvrrqCvU4Rf1M0sk8c03OvE/6bwi8vZEyhjL0i7bh3ntl5W/m8rwW0vutRk+V3WpxRISFEKY8UW3tVxaZek423fw+8b0+OQldKTi0WHhd8fPyDoWQGZfm4LOEZ7k4js9pJT2vCQuuSKEp+AJVpEBj1Sz1n/d/yMcc5c8oI3+7JUm2Olxc1EZ6btVjjuKiw/H3+UDgp+8P5J/8vXhwYh11bLWQZcjOCsUtjFFsGyofo6THxCNfgnRiYnxv0yiLDLXc7Xkc/Cuu53+xuFDOrR1OCUtt9AwsqN6oPeOnz2HF0kVMG9mLusWs0JUuborW7c1l1y8Xyx9uLKOIkYxs1QarHOvncnohhbRkFG48Fpe0zo5RH9g1vTN5jNQxNMtGwzZ2TJsznxVL5jN+YGcq5TFFK6M2VdtPxMH3Z5JZNHf3zqRqTgM0M+pSonIDhoyezLKli5k7aSjtahfHQnqNZjbFmbzpchpMEBrF9a0TqJBdHx0dYyr/1Zqxk2exfNkiZo7pS8MyOaULTul7UaUjpxyTGCeaTC/Pr6NJcUt0pP1UrNJfDB49haVLlzB/ygjaS6/LTPr+WeavzrpzXyb/iXt3G7sSOmhZlWPPg6STcez7c7TMoy9libqceZXaK994KQpH8mbEm1KgKGaRESPz7DTrMoglq1axcd1qZo/qTkVbY3R1zek4eQd+ys+FYvmQ3OpkKd5V5fIhU5rkJINFCfY6RBPmsIdBA6bhJF3x3944DLuRawlMxUEvNsiVxT2qYqqhTo5CFRkwdgZr165jw+oFDGlfi+wG6pjnrMTqBG9CevH6+DzaDJqfosHz3wvj8YW9zB3bnw7N/qJejarUq9cAuz7DWLPnXCKr2n/k0s4lTJkwn2suKqZhDPvAyQ2zmDhrGffcExzlAh4zq1tdipVuwOGnP/fBJsqfm0c3M31Eb7q2aUqjenX4q0Fjeg8ay/ZjCbszflYsrndPsnTyULq0aKDYR/WlfdStz3DW7DrFm4/ff3CjglzYtXAKMxduw/VT0h/s8LcP2TB3LHPWHsDzJ3fHr/Lu4hxMpTBTuNv6pJv5o96zqHc96rafjLP0dh8ZVQ2ZWlZWXvl+EkWX/cMVg1w7rZKHrTiWKcPRgW/C0bHZ8kHRynAUcp2axtKJot4UlD2Xn0UF++Di6kFQePIOICm7Wy1+MtwIH2eO793B7sOX8FKOkI56cYwmpQrTdNRWknrr7q7pibr0Wjsuuqr4+fGO4Yrb+6sP36uyO8jr0hzFeLnc7Rd/9zn+9NaRmw9e/sZDBGJ4sm+yIuRY5KrM0kN3v9s/IW8eMKVdGcV4sYqdZuOhHFflc2sVpTNrkbfuCNxUhCPXs0spKT1+qZaTcE3TcBTK+eW9sJFCSc7STdl59dl375PP8/P0q5UbbTUtmo3ZxsdU5iO3C8uomFUDw8wFGLXiKG++faMjfbiwcQJls2qhZ16QuUeSnpg5OVxPLaRMpowYW5di1q6rBH3zdBHeT1nYqzrGajJKNh/Li8DUhfIgx0O0KGyMtmE2+s/7m7ffjpkL9eTvGR3JpiPDplRrLijf6DjPu/Qqb4JRrqrse6QiHHlfoH0Rc8zzNOKc288dNFMYjuQieX5xOwNaVKWAjQWWpsZkMTchayZLytRozqKdl/mY4AMZ4WXPoLoFqNxsLE+T+sZGvmVFv1oUrNCMY0/DiA72wyfgI4GeT9kwsRdjl50gVUNQJLEhXhxZMZZGFQqQ3cIYS+lvzWJmTLbseWjcZSSnHr5VbvnniokM5YPXO955euIpL15e3Ng0joZdx/P8jbJOKu/eeeIfmLq4FB0eQmBAAIHBIV+1gqSpKD8c7K+xalx3ek/YhG+aBJgoXj535KWzEx9TsVRISsRK74N8HwUFqzhypzOxgQ50LqCJzKgcfz9P/KDlfX05OaQTnXqBLrhICcppWx8pXMhou+iicosv9g6RD9Q2YdZZeetJNEvbqw5Hcy99lP4IT/qX1kZm1YC738zh8GB9L6ysi7H8avKm9EhJOBqz11U6dF2ke8OatO87lP6dGtHQbgZOn2KJ879BnUwyZJlrcNI18QPfpfltpcdRZ9DW+HFvMV43aJozAzLzSuxzTKJrLdaDiY1yKV77pMPf3OIS84Zx0rG2Yo+l8V11v6Eob3t6V7BA2ygXU/fLu04TF+V+imb5dNE0LMiaq/Eh2vf/HI6CXhylSR5t9K3LseFG0ssj+d3dQEXpvTfKXpOjTik/QccFvWB0vRxo6WRl6NprKruE72wZRh59Gbkqd8c+tQfM4GeMqGOLjvR8ozYnPZwh7v0NupQ0QqZjK4WxVKwoEevDmj5V0FPTpvX4HUlfuEe9ZXpL+fg7fbovPBt/vvH6I8LRPyL54P6CO1cvcvHCJcXcIx8jEzltxsUREx1FVHSMipOqfJtooqKiiZW2jxfKieUjqVu5OjN23fnpwWcxYQG4OtzlysXzXL5yQzEHSioao35L/k4XGWPXitbtOtCxY0e62HWnafUSZM9fitYdutC5U0c6dmhP81btmL/ujPJf/UYiA7h54SyvlL2nUXfX0qRJbx6kQcY4d/YsBnp6dO/SSVkjpK1Y7LcMxFAKO1YVOnHE/usxEG72+2ha1EQ60Jkzbl/81W30+ys0tMmILEsF1l54oTz4h3F//wzy6konlZLdcVCc3UNY8oNwNPtcfAy4sLg9GaW/ocbg9fyzKofP8+M0sJXChmUdLr2J/zCF+Lzmof093LyDEj0eJT8caTF+vwtuh2fTcdjy+GVkgh9gV7ksk8/EDwo/N78dWtLfZF2hLRuPXeHl2w9SQA/mw+sXnN08leLmMvTyteSm15cj0b1tQxUtcWbFm7LrutNXJ8ZAt/vM6iq/U05G4bZzeftV1o/i6tqhFMhqQQ35sjbK2t/NswMTyKmtTpEGI3mlMrhEcnPfapat2caj1/HjXD6Ho3qjeKPihPD6wvJfEI6iubDUDjNZRmr2XKp6HrXYQE5vWcyqLQdx/pDyNjy3s3MoaKBOvpoDefGj67kwVyY2zoWGfjYm7FK9CHZSPE7NpaiZGjmq9VO9+oX0ntw7vpklSzZzzyXlgyDDnh2mUV4tDHLX4bjihoukud05xJL5K7nwwDX+O/A5HFXjoKOKN9XvMh3+/+Ho14mOCCcyRr5LYvC7s52OrXpx7f2vbSiOk0KZ/E4Ab+/fdHCHCtFhgbg7P+eFkxNOUnF+6cLZVcOp33EE9s9f4uzsrKh//tyJt+9TM37rF4t6z9Jedeg4YRvu7i/ZPKYDnUdtIC3GNJ46eUJxMmndvKmyRkhzUYHsGN9cMfeOTMOMMjUb0V4K5C3qV8RCUz7w2JS20/aTsAfR+dQiyltlRF3PgmLlKlGxdCGMtdQwLlCPHbf/uSoPYnZj+VIbednt8HU4OjipnuJ9nXQifpGPmE/uzOlUGTVZBqzylaBSpfLYWugiMy3KnCPPPoeMm8u7oKGegZZzTiTadfXx9nrFbN8WdSaS+JEghn3jayueu/+mJ0QG++P3Mf4MFu12goZlq7LGXrnwSMQHNo1sibnijjd1zCytsc2Vi2yWporuNNNCf7H15rddiyGcWtSHbPL9ltGYUtUbSPuyM62b1iGXRfy0AGVajuGx79fp4O3NDXTtOoSlUwfQcsByfJT1ac359BrGzNqSRHD8kWj2j62HgbYu7aYfU9Yl3+dutTpDcQqIICJCXsK/KRE8P7GQEmkdjqJ9WdK5GJr6lozYeE9Z+SvEcWJaM0y0NWkx8aCyTpVYzi3pgrlMkwaD10rfmJSK5visDmRWU6fJmO1JdgGnhScHplBAS0bJVhN+EIy/96VbrQq77wYq3ufE3vswj9O0LZyOw5HLqeWMmrE9vt/c9TCdW/XkqtevDUenThwnq7kJPbt1Ucyt86fzOLmAtoMXJmt5i99ByOvbzB/ena4dOzJo3GKevP/ZtsJ4p0+dJIN0QmnXqoWyRvg1Irl7ZDV2TapRMFc2smbJik3OfFRuZMfaI/cSDSJ+L2+wdGJ/mtSvTb0mbRizYCuOXgk/sWEcXzKUVl3GcPttwnbeOO4dWkCrVl059DjB6SAugMt7ltKjTWNq1apLx4FTOPXw6/Dx/MhCGjVqxIy9dxNtOQ5zvcKQtq0YOP9gEieaWOwPzJOeux3brnzpqov0fsCQBmVoMX4XXw/HiOXlnVPMnzCYdi0aU69ufZq17cb01ftw9kn6mOZ68xAjuzSkWH5brLJmxTpHHsrVbsPcHefw/2ZnRvo8ZHTXTux54ser/eNp1n/VLzvJBTjsoLiJPs2mHEjFsSWQxZ2KY6hnyujtKW/lkIej8jbGWOcsRIMGDWnRuCHNGzX4qrRo2ogGVUuQzVCXCm3SMBx9esmIWlYYWuRl6YXEV91LG59Y2aMcRjpGDN2UvBDmeGgahXRklGg5niR6cFXwZ92gmhhIFzADVl9ItDU1bcRwcVVPMsu0UhXi5OGoT9UsmGTKRtWaf9GyyffvffMmjWhevzKFrAyxKtQ0fYajUK/bTOnZlr5Dh9G/SwdmbL1KUqsFpJUH9+9TuXwZtKSrvN49uhEYmPwFKH5HP3u32v9HLCGf0na8jghH/75gPy/cX7nxzvvP/g4lV5DTOXo3qEjbcVu/GxD+syKCfHjt9oo33kl3lF1Y1AXbPBWYMG8O/RqXxbZYbZafSl0Xy49FcWB8LeTTN9gtOJ70uJHExHkzp01hjPQtmXwg6SmBk6IIR9lMsLLOQZmSJShfujjlS31TypSgdOHcZDXUo2JahqNwZwZVyYyRZRHW3kx8Hqa0EcD8dlKA1MnMxH3Jew9dTy2ipLGM/H8N4fkPZoH4XiCr+lRCV5aZkZvj7xD9Vc4v6YypTIfmo7emaAkyufhwlBUTsywUK1qcCqWl9//b915eV6IguS0NsU6v4UguKshDMQ7ltoN7oledv4KjowNVK5RDUwpI8rW0Pn36lY2Mv5bzwek07TXjDwtHaU+EI+FXCnW/gF3N0nSeeSC+2zAuhtRMTP8znl05yJJ5c1k4fx59m5bDtng91pxLefhIrjhvezoUk3fx6dNu0o7vWrKS9pFlXUthqGfMSOUg9JSI71bTJk+tQTzxCiRIuoD9rgQF8ujQXIobqansVgvzf8vD29e5deuWYhkQVeW2tM0zhzuMrpcdQ4s8LDmX/KEXsWH+PL13g5s3E3/shEU+G/vjF0+Y36ksJrqmjN6RvH307PAsCuvKKN5iPE6BQby4f5tbN28m+hwJy60bN3FwfsCKIfUxlpnQf9W5z93PPxaK65N7isdI7LETltvS3/LA4SmHV/TBSk2LvwatScHal/EU3WoVTDGyrcTW6+8V73Ni73/Ay6O0LmSGRd502q32//Ts6VOqViyvaEGSByT5m/Ancj+/lkFT1313S+Z/jQhHwq90cmpzjDPZ0rhjD+w6tqNN274ceZbykR9pxWn3ONoO35j4LMNpyOfOZkplUpcCkg7VeszF0Tc5V2FxHJvSGENtHdpOPaqsS1qojxsvXr0nMjb+IPZ5zFG9UbxVEcg8Lq6g1A/GHDkfm0dp6e83NTElq4WqYoK5oRFtRq5iWZ9q6BpkZtiGH3V3xRHo6YKbdzB+jkdpmlcHIyOTRB7762Khp0mljlNYPbItlgbatJtxXPl4qsRyYUUPMsky0mjYZt55X6JlXnPFxI2JPceXYoKpth7VuoxlxdyB2Gqo03j0th8upB3m+0axHmBkyCMG18iLiZ4eWRJ9/C/FwkCXQtU6sGL9bMoZy0PcOF79YNREdLAvLi9fEhQRq+jq+zLmqBqHnqr4rPlfoWPRdDzm6P/N0cGBKhXKKlqQ+vXuyadPKW6r/L+Ljggh8GNICq4E0qf/VjiKIyIkCB8fH/z8/NK8+Evl/dvXigH+8uLi5sEH3/j6xLZPdfH3w9PDjZeubrz/8AseX1n8/X15Jz2Pi4s7731S8zw+OD2259rVK5w9fZKTJ+XlPE9cPb/azt9Pep7Xr6TX81qxvxL+7uvij6+PF24uL3GWTgwvU1JcXBT/dbh7nSu3H+Pl65/o6/GX9u2H929xld+k4eyCx7v30v72/267H5XgYH+OL7DDXEM+2FxGrup27Ld/Q8QPWs1enphJXl11ijYcidsP8tS5eZ3Ik92WfgtPKn72u7M6zW7l//TemUsnD3H8+HHFeFNV5fixEzyRPiNX1w3AUj0jNXsvQ/VtLZ/YOrQeOfKVYtLq4zy8cipZz3Pi6BFuPnbh+akFFDXKQIE6g3H+UcqN9GB6i/xk1M3KmG0PiY0N4PbZE9LzHUv0ORKW40eOcP2xOy4XVlA2sxo5q/bj6Q9y/ZXVAyliZYPd1LVcv3adM8ePJvrYCcuJY0c4f9ORt09P0bqIHoa56nLiB3ervTq3lMo5MlOn+yzc5O/hB/s/6Vb+9O3ZU8cvAalXDz4G/f+uBoXU+2+Fo1AOz+pM4SJFKVGiRJqXkiVLkC97FgwMDKSij0kmawoVLamoT2z71Bb54+W2tsDINBP5CpegVBo/fnwpSalSxbCVnsfYJDP5ikrPm+h2qkuZchWoVKlSglKRsqVLJthGep4S0vNYmWNomoWCqp6nZEmKFc5DJmNDDAwNMUxFMTYxJYtNTgon8b6UlJ6jcL4cmErvn56BMVa2+ShRKuHfm8xSuhyVy5Ugs0EGRThSFKOSbL6W9Pw/clG+9+lfOTNaRnmYefCZsvZ78vmjOpUyI6OGJVP2x89E7nc7FfMcKVqY4nC7f5btmzZz4f6rVF8wBjsdo3l+XQysK7D5VtKDsgMe7aRODi20TQuz4XbK7xuM/eTEuAa2aOpYMnj1FZXDSu7vGksBQxk5ynfi1vtUDkAJk8+rlBsdXStGb72trPxejJ89/apmQaZmxtANqhclT1wA6/tXx0BdhzaT9iQ97ijai0VdS0vH7Yw0Hrk9flybV+rD0cfXD9i/bSMHz94hKAXDTEQ4UsHR4QlVypf50oIU/Oe1IP3X/bfCUTQvbx1n08ZNbN68OY3LJrZI/127YglzZs9WlHmLlrJ+42apPi2fT3qeLZtZvWwhc+cvYu0G+eMntt3Ply1bNrJq6ULmzV/M2jR/HV/Kls3S8yyRXs+CpayTTtCJbRNftrBxw2oWzZvL7DlzmDt3bopL/PuyjPXS8yT2euT7dsPaFcyfM5tZs+exbOVaNm/ZwqZvtvtR2b5nH6un9CSnFEIUwUjDlEZ9Z/PE60dX67Hck07oefVkWBaoydrj9wkKSxhXYglwvcGUtmUwkI675dvPxD00vjnqc7dacsNRqym8k/6p8/EFtG3RgWkzptCnQ3tWnniq6KpJuQhOLuiCZUYZuSu2Yf91Z0K+yiOReD46Qf9aedBW16TJiC0EpO6JcL+0mipWGuhb5GfcmuN4Bn4dCCKCfbm0bQoVrbXRMc7N9H0Plb9JnRfHZ1HURA2znBVYtP8mAV+/MILePGB+j+qYqMso3mQ0z1I5XsP/8V4a5NFD1yQXw5Yd/u51hQa4s2taR7LryJf1asHZf5aP+dytlvxwdMkrhlCX0/Rv3YQRk6Yxuld7Riw6RCKLFiRKhKMfiO9ii7+LrX+fXnwM+vNv8/8vEWOOBOEXiH3H1FZFFMFIz6Y0c/bdkqJBMsX48Pf0juQwUMPAxIq/WvdkjjzQrVnGzFE9qVkkq2JttcK1e3Lp5ZcOrA83liuWHclePXlrqxVpNoE30onwzs5FbD4bP6PzrXUDaTNoVeqXVwl+xfIBdckkPb6pZR5a2g1i4bKVrF+1mEkDO1A+lwnaGbSp1HY8Dt4/Mx1JNA8PzKaarSE6mgaUrdWc8dPmsGb1KpbOHEvnv8qSVQoQRpYFGLXmzA/HCv1YECcX9yKfsTp6hpmp1awrM+YvZcOaFcwZ14/6JbKhn0GNvBXbccLxZ2bRiuXxgVlUtNFFW8uAMjWl1zVjPuvXrWLx9FG0qVYYMw0pOOepwuozX2bh/ry2mnX5H66t1iqvPvrZ6nHpfQSe9ntZtPaYIgyHP1xHi6Z9uZ/MYcQiHCVDfAvSlzFIwaIF6Y8hwpEgpLUQdo+qrwhG5tLV/d/3UjHvT8xHbuxfSuf6ZchrZY6FoQ7GejpYmJiRv3BZ+k5ezbP3X49L8bu/lb+K5qBy+2l4JH1+5PWVDdTLl5X6vebz+p8GkDh/Lu9aSIcGDVh0NOnuvGRRrA05lRZVi2JraYq5/G/X1yWTmQVFS1dj9KI9eASkzRwCXk/OMqN/C8rkscLSRA8TPW3MjIzIaZufFt1GcuS2SxrezR3KwxNr6dm4EvltLMhkqBv/npiakKdAKXqMWsT9N2kxvCQW99sHGd2pPsVsLbE0Vr4uY0Ny5JReV/exnHnydfdsnPdDRjUqQL4KzTn+NOmBWLE+1+lfszCFK3Xhqsc/n584Xl7bw5B2Deg7az/KhsgfEuEomRweP1as7K6lHt+CFBwsWpD+BMeOHlEcxBvXr6usEQThZ3icW4iV9J2yKNWV884/dxyMiw7hjdMjLssHER87xsXr9rz1TbxrLi42mvCwMMIjolR2i8XFyLcLVWz3ufMn1JUd88bQWgpHkzdeTvE8O4mK/oTfG2fu37nBhfMXuHr7MR+CfsV9grEEvX/FnStnOXn0KGcv3sDlrV+ik5imiZgw3r18wtVzJzl5/Dj2j54T8EvmYI7G940Tty6f4cSxo5w5fxWn10ks6xUXS2REGGHhESgWz0hKXAyR4crtPi9FFsb1PfOxa1GfbuPW8C6Zq46LcJQCDk8ef54oMj4giRak3937917s37eP27eSXlBREIRkCnamf3kj9Iu14fLrNIkYv1gsoSGhn0+44Q+20qJBZ676pnIwUAIeHh4M7NdXMWnwmdOnlLV/JleXl3Ru35aZ06Ypa+LFxsYybtQIRgweyKc/sEEgMiyEiH+a1sKeMaBZXVZciF/78EdEOEqhJ48eUalsKUVAGtC39x89UaQgCEJKuJ2aRelSf/G3wx8y/1tMEOtGdmTy9vi5iQKvraR5sz7Yf73GS6rIJziUD7WQt0xPHD9WWftnunXzhuJ1lC9VQlkTz8/Pl8ymRpga6ODl5aWs/VPEcXPTKHqOWh8/xizAnt5NGrD5RvIm8RThKBUUXWzygKQuo3d3Oz58SN0yjMK/IY7oqEgiIiKJ+benLhaEdMb31TOeuv+qZW1/hThcz6+hY/OWDB85gi6tWjN/n32ajNO5f89eERz0NNWZNePrFpc/jf3dO+hrZqBOjWrKmnjyebHy2WbH1iYr3t6/ck25XyPI7RIjOzam5+DhDOjcnIEzd+KTzJ5PEY5S6dGjh5QpURTrzBaKL4nwewl658i+1TPo3qI2FYoVoGjBAlSqVoe+o+dw7r77N/3a0dzet4T+dv3ZceVF0uMZ4kK5tHk6vfsO4eAd1fO5CILw+/B1uc/xQ4e4/fTtl3FIP0mEoz9DhL87l44f4NxNR0JSMFBLhKOf8OD+PcXdUF+L4p3zQy6fkc+We4ob9xzxC03i6xgTxUd/H/wCg5O+komLISTIHx+/wC99p4IK0Tw5vowmJa0x0NQge+7C1PurIa2a/kW14raYaatjYVOUcesvJFi5PJwdw+ugI9Oiz6pzSYejWH+WdymCmoYRY3bET0wnCMJ/kwhH6ZsIR2kmiucXtzOwZVUK2GTC2jIT2bNmxiZLFopXqMukFQfx+ia2hr+5zcA6BanRehJOSQWfcA+W9q1FkSqtOPX8V6+Y9OdzOrWI8lk00DPPx7AFO3n+2pPA4BDCQj/h6/WaUxsnUN5aCx2TfMw5+Fh5FRnO7jGNMJEZMWjdRRXhKIDVPcugY5CZibt/8nZgQRD+aCIcpW8iHKWJEC6uHkIhc02MM+emTa8RLFu5hq2b1rJ46lAals6OgYY2VdpPxMH7S8AJfXWeJjlkWJXqweOkpsUIc2H8XzZkyFRS5eRXAkR+uEufCpZoGWRn9JabSdzqGsv1tQPIpi4jS4Vu3PsgT6XRinBkKjNOVjjSNbQU4UgQ/uNEOErfRDhKAy+OzlZMvZ6tVDN2XXH6bqbYYC8HFvepiXEGdWr3XYm3MgiFul2idX4dclfqh0OS4ciVKc3yYpC9ospp0wV4sG0I1jpqlGw5mXeqBhYEPmRKtya06zuT+2/l9zGIcCQIQsqIcJS+iXD0k+KCHRlRxwZd8+KsufxGWZuIIEeG186h6M5Zcj5+noUwEY7SUBCrelTEUMuAfqtvKOuS659uNWOGbVE1H1IkG/uWQ8dAhCNB+K8T4Sh9E+HoJ725tIKSRmqUaT8Trx/cBnF/5wisNTWoP2gj8pgT5X6Z1vm0yVNlMK/iN0mEN7Na5UM/mwhHKkU5SOEzFwZ6+Vl2Jem9mTgpHI1tgqW2IbXb9WXhwvmKxT8XJizz57F43lTaV8mNsZk1k0Q4EoT/NBGO0jcRjn5KLJfX9MIiowFd5pxQ1iUtyOEgdW0ykK/2QJzkA2LeXqZtIT2yF2/BtouXuXrl+3Lt7G56VsuOiW1lEY5UCbpN70rWGJiVYdv9lN5mLw9HzchmpEfWTGZksTAhi5nx18XchKxSsZJ+n8kyuwhHgvAfJ8JR+ibC0U8J58jUZujrZGL4xmTMdfT6Ch2K65OlVBtuyxeb9rpKp5KmmJmbY5PZHGtFMUtQ4uutzAywLlRDhCNVQu7Rv2p2DIxLsPmuiu7NRMm71RpLIdeI1iMWcP7COS6cO/t1OX+Oi2cPMbxJIQxNsopuNUH4j7t75zY6GeJnyJ40YZyy9s8kX15J/joqlCmlrIknnyFbflFobqTP+/fJm1k6vRDh6KeEc3hKE/T0MjNq6wNlnQqvr9KhhAFZSrbhjr/0s+cV2hU2IFvBOsxcu4EtG9ezcf26L2XjRratnk2rslaY564iwpFKb5jeogiG2jbMOvFCWZe06IiEKymGfR5zNHzbbWVdYqLZ3E+MORIEAZydnWjVrAkN69Vh187tyto/k9OL5zSSXsfoEcOUNfHkC6zbdepAp3ZtCAiQX9H/d4hw9FNiuLSqB+YahvRYdE5Zl7RgxyPUz5GRPDUH4CQfgP32smJAdp4qA3GO3yQR75jRMh/6YkD2D8RwZHITTLQ0aTPtqLIuKWEcmj+YTl0GcEjRyhTDnrHibjVBEAQhnghHP+nN5ZWUkg/I7jAb7yTPqvGe7BtHDq2M1Bu44cuAbHG3Wprxui69F2YZyV6uE3d8lZWJiPU4S8uCusjUsrHwnIei7mfCke9rJ545e3w3hYMgCILwZxLh6Gd9fM6o+jnQMyvCyvPxJ9pEhTgxrmEedIzzsuisu6IqzE2EozQV7sUiu1LoqOvQoP8y3D8q6xP66M6yPjUwVlOjfKdZvAmVV0akeJ6jSXvlXXeR3Nw5ix4dO9G7exfGLf4bb/EWCUK6F+z5gnMHtrN6yVzmzprF8pXrOH7pHv4Je+uVwn3cuH7+JDceviRMxdpeIT4uXD1zhluPX4kLrd+ACEdp4OXJ+ZQ0VceqWEN2X3WWTrVfC/nwlGUDamOSQZ2afZbzXhmExCSQaS/oxUk6l8uClromZf/qwvJtR3j41AmXF485u3cV/RqXwiSjjOxlWnHMUT7wS04+ILth8pYP6VFasXzI5P2vpCd7zOiundlx15sQ33sMaNqI1dfeKTcWBCG9iQ19y98LhlCjSDYs9HUxM9THwkgPE10NTE0zU71Zbw7d/foi2ePMEspZaVO2/XQ8FBdjiXM6PZsiJkZU77YIFQ3fv05cGE63jrFo4kDaN65DraqVqFu3Ab0GjWXHiZtJrxGaTolwlCbCuLJ+BEUUy4fkoX2/cazfspVdO7awctZImpSzRT+jJpXajOWRV8LlQy7QLKcaNmV68iTJcOTChAbZ0bAsLZYPSaYPT88xrlMNchhroq+jhbmxIZlMDKQDWEYMDMyp024oZ594KbeWC2fb0JpoyDLQa+VZFeHIn6WdCiJT02f09qfSwSQKf98AIiM/4nBhM7069eLY838ClyAI6Um0/wvmdqmIiYYauYrXYsL8VRw5dZ7rVy9ydNc6RravjqWWjCwF67Lj1pfpRNxPzKOwoYxCzSbgriIcPT82hZwZ1aUQNQcfZd2/JdLnBSuGNSePubZ0zNQjd75CVKlUgUolCmBjItXpGVOl+QDOOiY8bqZvIhylmSicr+xiSJsa5LcykU7GRliaGmJhZk7RcnWYtOIA74K+Xl02zOMGvarkpEKTMTxPKhyFu7OgWyVyl27Msadi4dlki/TH8dYZtq1awNTxoxg7eixzF6/m5JUH+H23G2Pxcn7AxTMXefFWRbiRwtCbp7c5f+EyLl5f1vR3v76TrtULUqXVWJ4HJhmtBEH4Y33iwMSmmKirUbLxEG66BynrE4j8wNYxzTBXl5G/7iAcfOOP969PLaC4mYxirSbzWkU4enFiOnmli7mKneb9u+Eo8DmzOpbFQP53V2rJqr3neObymg++vni/dePRtcNM6FwVCw0Z2Uo255jD/6Vd618nwlFai4vE2+0p186f4tTJ09x+9AL/kCSW3I+LISIslLDwSOXq8ImJIyoijNCwcKL/W62af47ocIL9XrF8UHMGLT5HEu+2IAh/qCDHPdTKpoNZrhocdAxW1ibC5zp25TJjnqMa22/Hd7F7/NbhKIyT8zqSKYOM4g0Hc/d1iLL+GxGebB7ZCFMpQJVqNQnXJDZLT0Q4EoRUinh1hcUL1hO/Uh6cW9iZ9sN3Itr3BCF9uSR9tzNryajedzUqopEkErcnd7lj74jvp/jRp4qWI1MpfLSdwQdFTeLcz88h378cjkLdL9CuiD76VuXZqph8L2mxvvb0rZwFDYPczDn847nk/nQiHAlCKsX6PWBM6zr0mbqGQzsW0rFJKzZfc1P+VhCE9MGP5d0rYqhmzJBN15V1yScPRyUs1CnUYCCXHr5QTLj44vnXxcnpOafXDSGXrg6V/sVw5HBwIrk01CnTahJvfzgiIIZT8zuRSU2dv4auJyCdjyAQ4UgQfsKnN/fZOG8S48dP59BNZxXdo4Ig/JFiXzKpaSF0NXMx98RTZWXyycNR2Wx6ZMliRf7cuSiUJycFcicsthTKa0v+nFZkNjamWud/KxxFcWpmC/Q09Wk14e+kb0RJwO3EPEUXYZ6/RuCcyLCr9ESEI0EQBEFISowT4xsXQFcrLwtPP1dWJp88HJW20iZHwfJ0tutOnx7d6P1VsaNPz250aFQea0MDqvxr4SiUHUNroKNrTM/FF5V1qgXd2kAlm4xkLm/H4/fp+1JQhCNBEARBSJIn8zqWxkAtK5P+vq+sS75/7lYr3mY6qvKE27nZ//KYo1C2D62OrhSOei+9rKxTLejmeioqw9Gj9ypmtEwHRDgSBEEQhCTFcGhSM8w1MtBuxtEf3o369v55Dh8/g8v7QMXPX+5Wm4KHiqnqnE7O+JfvVovm9OxW6Mu71SbtV9ap9urYbIqaysjXcCQvVY9M/+OJcCQIgiAIKnicnUNhE3Xy1hzEC5W3sQewokcFdGRadFt8RjGO592Z3/dW/hfHZ1JAW43iTcfi/sM5SKI5Oqst5rKMNBqxiY9iQLYgCIIg/HfFBTsxpp4t2jqWDFyV9BJDr84vpWKWDOjbVGHv/fiI8zPzHMV8es2BVTMZN3osmw7fJCSNh/lEv79L7woWaJsVYvGZV8raxEW/u0LXsuZomhRk8WkXZW36JcKRIAiCIPzAq3NLKG+ZEQOLfAyZt5Mnrt6fQ1JE4Fuu71tMwyIWaGqYYDf7MP/Mof/PmKMUh6OYYHZP7kTrvjM4emQvQ9o1Y/4hR8W2aSeG25uHYasjI2eZlhx+mPjyINF+z5lnVxlDdXWq2s3jbSIL7KY3IhwJgiAIwg+Fc2f3VKrmMkY7gwa5CpSkSbPmdGjdjPqVipBVTx1DUxs6j1uPZ4IQ5HZ0BjnVZeSoPwo3FV1yTw+PI7NMRuHm0+Ini4z9yO0zJ3D8ED/wWR6UBi08pfj/NBX5gS1jm2OpIcMyT3nGzt/Azccv+eDjy7tXjpzcvoSutfKhryajYM0eXHr1H5geWyLCkSAIgiAkk6fDeRaO6UWzWhUoXTgfhfPno0zZirSxG8L2k/Z8O+ba58ERhndtwfAFe/BR0eLy7v4+BrRrw7ilh/morFMIdGBh/6aUq9SMY6oHPKVe1AeOLB9B9QKZ0dfMSCYLC2xtrMiRxQxTnQyYZspJy74zuO2WzkdhJyDCkSAIgiCkUGxYEJ4ebrxyfYWXzy+cEfGTO+cPbmdcz/aMWXackF84ENrH5T4Htyxn0rB+9LLrQt9+g5izZD0X7jz/LvSldyIcCYIgCMLvJvIjLxwdCYiK/zH4ylIaNR+E47803icmOprYdH5HmioiHAmCIAjC7ybMnWkdajF09RXCwz9ybHYP2g5eju9/OLD8m0Q4EgRBEITfThye9gcY2qUNXTt1wK7vBK65/nfG/Py/iXAkCIIgCL+puFA/3N3fEJK+V+v47YhwJAiCIAiCkIAIR4IgCIIgCAmIcCQIgiAIgpCACEeCIAiCIAgJiHAkCIIgCIKQgAhHgiAIgiAICYhwJAiCIAiCkIAIR4IgCIIgCAmIcCQIgiAIgpCACEeCIAiCIAgJiHAkCIIgCIKQgAhHgiAIgiAICYhwJAiCIAiCkIAIR4IgCIIgCJ/B/wAHk84Fx2YqSQAAAABJRU5ErkJggg==)
Type. 2
![](data:image/png;base64,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)
Mechanism
![](data:image/png;base64,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)
![C H subscript 3 end subscript minus C O O H plus C subscript 2 end subscript H subscript 5 end subscript stack O with 18 on top H stack ⟶ with text Conc. end text H subscript 2 end subscript S O subscript 4 end subscript on top left parenthesis P right parenthesis](data:image/png;base64,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)
![C H subscript 3 end subscript minus C O O H plus open parentheses C H subscript 3 end subscript close parentheses subscript 3 end subscript C minus stack O with 18 on top H stack ⟶ with text Conc. end text H subscript 2 end subscript S O subscript 4 end subscript on top open parentheses Q close parentheses](data:image/png;base64,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)
In the above reaction (P) and (Q) are respectively :
chemistry-General
chemistry-
Observe the following sequence of reaction and answer the questions based on it
![](data:image/png;base64,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)
Which of the following compound give benzoic acid on KMnO4 oxidation
Observe the following sequence of reaction and answer the questions based on it
![](data:image/png;base64,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)
Which of the following compound give benzoic acid on KMnO4 oxidation
chemistry-General
chemistry-
Observe the following sequence of reaction and answer the questions based on it
![](data:image/png;base64,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)
Which of the following statement is not correct
Observe the following sequence of reaction and answer the questions based on it
![](data:image/png;base64,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)
Which of the following statement is not correct
chemistry-General
chemistry-
Observe the following sequence of reaction and answer the questions based on it
![](data:image/png;base64,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)
Compound z is :
Observe the following sequence of reaction and answer the questions based on it
![](data:image/png;base64,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)
Compound z is :
chemistry-General
chemistry-
In the Hofmann rearrangement an unsubstituted amide is treated with sodium hydroxide and bromine to give a primary amine that has one carbon lesser than starting amide.
General reaction :
![](data:image/png;base64,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)
Mechanism :
![](data:image/png;base64,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)
If the migrating group is chiral then its configuration is retained. Electron releasing effects in the migrating group increases reactivity of Hofmann rearrangement.
![](data:image/png;base64,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)
In the Hofmann rearrangement an unsubstituted amide is treated with sodium hydroxide and bromine to give a primary amine that has one carbon lesser than starting amide.
General reaction :
![](data:image/png;base64,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)
Mechanism :
![](data:image/png;base64,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)
If the migrating group is chiral then its configuration is retained. Electron releasing effects in the migrating group increases reactivity of Hofmann rearrangement.
![](data:image/png;base64,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)
chemistry-General
chemistry-
In the Hofmann rearrangement an unsubstituted amide is treated with sodium hydroxide and bromine to give a primary amine that has one carbon lesser than starting amide.
General reaction :
![](data:image/png;base64,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)
Mechanism :
![](data:image/png;base64,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)
If the migrating group is chiral then its configuration is retained. Electron releasing effects in the migrating group increases reactivity of Hofmann rearrangement.
Arrange the following amides according to their relative reactivity when reacted with Br2 in excess of strong base
I) ![](data:image/png;base64,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)
II) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAR4AAACQCAMAAADp2vT4AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///wAAABAQGQgICFpSUpyUlObW5jpaGXNapRBjUhA6UoyEjKVazkJazqVahEJahGNaEHNazhBazhBahK1aUqUpUmspUnulnK1aGaUpGWspGdbW5oxaUqUIUmsIUoxaGaUIGWsIGXNae0IZpXPvnHPv3nPvWnOU7xCt3hCtWnPvGRCtnBCtGXMZpXMZ7xAZ7xAZpRDv3hDvWnOlGRDvnBDvGd73tULO3kLOWqWEWqWEGULOnELOGRDO3hDOWnOEGRDOnBDOGff372trY97v5joQUhBjGRAQUhA6GTo6OqWlpaVa70Ja76VapUJapWNaMXNa7xBa7xBape8ZEM4ZEMXFvSkpKc7Ozu9aEO/OEO+UEM5aEM7OEM6UEEJSQnN7c+8ZMe8pY+9rpe8ppc4pY85rpc4ppc4ZMe8IY+9Kpe8Ipc4IY85Kpc4Ipa29te/OtaXvrXOla973OqXO76XOa6WlzkKM70KMa6XOKUKMrUKMKaUphKUpzkIpzkIphHPOrXPO73POa3OlzhCM7xCMa3POKRCMrRCMKXMphHMpzhApzhAphN73EN73Y6XFlO/OlKXvjHOlSqXOzqXOSqWEzkKMzkKMSqXOCEKMjEKMCKUIhKUIzkIIzkIIhHPOjHPOznPOSnOEzhCMzhCMSnPOCBCMjBCMCHMIhHMIzhAIzhAIhO/Oc+9ac+9r5u9aMe/OMe8p5u+UMe+t5u+Uc++ctc7Oc85ac85r5s4p5s6t5s6Uc86ctWuEnO/OUu9aUu9K5s5aMc7OMe8I5s6UMe+M5u+UUu+clM7OUs5aUs5K5s4I5s6M5s6UUs6clDEQCDoQIToxEKXv76XvazpaWkLv70Lva6Wl76Wla0Kt70Kta973hKXvKUKtrUKtKaWlKaUppULvrULvKaUp70Ip76XvzqXvSkLvzkLvSqWE76WlSkKtzkKtSqXvCEKtjEKtCKWlCKUIpULvjELvCKUI70II787OnHOEUlpjWjoxWq2Mra2tjN73/wAQCP/v/wAACAAAALYAgqsAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAKB0lEQVR4Xu2cTZaiPBSGKwg1YQE1yMylBCcwB2awA5fqpBZjfX3U8703RI0kkMSuPt2x8rRtoYLC5c39C/qWSCQSiUQikUgkEolEIpFIJBIvBS/HhqvlxIy2yhhjh7FXjxMafIBtJhr1VOJG3zFWjy3nvzp2SfaZwTu2GcW0WDNWyKXElZxtbi6HH9L4eqTP2KAWwZ7pjxJvBWP/qUWiZt1ZLSZAzrrJ8UyUjKXortGxT7UkKVmWskON+tHZjJqjTrwJOBt9cB1ZlsyjgVRHt0ed1PMACgot0+GbRzH9eBCqcrUIEOZLtZggWhSit+EkOnbYqeWEZERBeo3lWE41xQzYpCtgIN7CTWsDLQ7OIgS1URCwDzsMeYc/8Tme4rTJ/HmqH9GoftgQYUy/t/J8OD1VEpzbhogwpDeMZdXRjwrjo1Lb/QyQ9Ac08PrsmaRX5FNVOsY3uJCn1QENmIqxo1r0hzMmh1XHWvk4HpCnBWUiPHuiXyPYRp6BITrzIOWv1aIfCNLBqQtnmfxbx2YeATGEpbHv2CL0IKEeObiiMw+0ENoZp00Cu8UiTvWcSTzBexw8F3O+qic234M4FF4DBburWH0PwtAlfIcp2IWVFpH6nuMzSczb20eofHZRqgcp8FNzTpRoB1XecfqenLFRLYaBTDuoYRyl7+lPbPPkjFygfGL0PWJ4Vjyyyu8CWsbvEaqnZyx7V8vBhJk2Qt8T7F8f2AfZNsLIhQP8nSmVILcen++h3O5DLT8DDU3uG73ii1zUQg2JzQaQj3dbNTrfQ+LRr9kKB/LxbqtGF7mohboiHt5fWV4poC8Wm+9ZbWTwX3nHMpadNrirx6X1UM+ePOUTW+R6vGriAVHCdDqXbuGY8CaerbTIfA+HOuzlBC+QDuGwx3JCfhWCVdaj2h18e2mRRS6cd2vSMimnK7Uxc/5VX8heNh/kPQck1EROHOZZukKLqjDWGY3S9gtPf9k2QPjbq8VV3k8H+XeI4ppdxBxrtw/Ps9w26KoF/SB5Wot/d7ASb2GacwRXfPcbu0ttMIoWMr0Cg86mHzgqr+yJF0e8w7DdO4055pW42nBX5STlttQE3ZR/enxCJLaPaBHGF2cgdhCQRT+tV1+MH6G+LJd+zdVggsFv/d33abnSt+rsfVztuqOzuNn3Bue9+aQdpLu2BrNrTgd+yVLgf3p05elbOHWzexMNjt1ViGCVy9Wf7TK2xZ+jfgo69qWWdJquu3m1vjPOcnPYUDTe+zT/cmtQP0Meq7veW2c1MFBdpZuAdpTwBAo1x9iQ0UHtH84Y7dL2UT22hA2h+Pa+UPSjeXqcQ5ZJ7bonWLC1rc3jso5cw3I9O551dI3wgfnNm2SOGdZzzbrsqm7k5ZR/YHDp6rH5TaQYunkerNAe2GYod+I/WN59Qf7sCzIKjk0d0qNTb545HMJhfcOR1fe+0rY7rottYJ841un4lHpmvmfBPLcDn6kHO1ir17CWq0rc22eAl2K9DoaXZSBhy/W+0aAfkHCcA/ieHPaYThXyM4t6bEe4op5RO+/6GLRyHqyeH1WGR/kEdZqmFd3qfAdN47tOmQ7tH95S7o04XNXjGlwfi+oRtTb4d5tsvcWJRM4y/DxcJmEX51KFooBc3Q7xBnwPnBP2krbZnZR6WK0YUOGEqYdneluhdYi3tjtgOESPxjqEYPNbkI/F5Ff0PfdgUveWXfCW+DwK7FvEHA2776H1Jx7V8ytkvruwO2Ao0GNsyfNoMcSv1aA3cwUupj2h4XUmr6oGV6uacz3834J6PreVZESFqH3g1jwywcuPwnrr7FEYe+PlH+yHCn/G8N7zz5pu+7Px3k1RFnjN9p8r9VDuOpJ6psGlRQT7iYR5dDT12NaHO1jCOgwWwpnBo25vUM2wRI1MQstzz21/PqmXLBR0ODIxou9U3gP7vSKwZ80wz9gU+IfbYxB+sK2in3RmsjCIYE6Hz5roLzb1vSPgq/c3KbDr2ujf4Tg+KjUOTPqreui017uDVI9H1gzz3FaB8LRzGOT6kEnYTj9OlZd57juvA4+0pr2ebe4vOzOP2wnEUaKInQaXGdjF4xybboRZ5Lroj8RKDCGQwlpiT7kaezRQrxmb85PNZhow33UP4WwdTg4nQA0k6U/U4NLVA/OI7TB+6mbGuguRC1FHe1Rl1wzaDuRjGR6+6kHtbRb7yJnWxIMB1cF1c7ETfA9tWM6Ojjb8qTqlwD5TD+ybs0Zs9RxjWT3Y+v6ReMlxZQCEYloCT3o1RSF4w7j4yHXxyM1Y1nUdNTb4akUqXY5aIqkp9WhVnVRPhb0Qug4sWXNRbeW+4uG1kddeXGeSphfMJAVvYT5pQX2yDvWnnb6vyTMZrrLSoR0II7uPviLL6AjHTLN/fX291UacRT1Ntm8HaR+4u0Gu2sLcuWsHbM7xWuS4QLI/Nw+e8roIvC0rr98OE1xbacep1hfyXsGVT+Z1pR2p6XsKOPWPyZI4gYchz782PiJAMmGYApWOw2NOfBkNE7pKaNXZ/SGa7uFIrb7nXFPcI0tSK4whgug+aQlV7z0w+yGHBXaZ4WawX16G/WaK2afydn+TsNjvpfvd59dzKXhT1nXlngcgMJKM4E4jzj1EYIvpfNygoPQXxFOcZvuhcz0OwQdXmLQC+RjvbjGZidn2gFm9fPo3U7OxHMfVIERlyPvGGTRsWGbYcZxGyJ6DQDtLCpFFuVqwf4Sq67JuvbM14NXWFcbtQD6z7E5Qr9lxpaGl14zq72+Ix4cya5tseO7KW0uugiN1+FjUBvfJJAnSPZdN/x5F7TFtYwexz3A1OPrVnAkp52lmU8hpVeB/mWf88gTkM58bR0Czzp4qKOWceScY2acFGx9nDAvjon/6fs7iJBS9OB98sLHTnUeKbVzAY7PKmv2IEiXT3DpY3SeXjBKKVEY+h+iuqrdHaJbc6ESgEHlZ8UhPbMRkQRfhdMXMDkJeHWbICil0pxZfEHImZjkgSED12PbTS2fR9yVUwmoj/SRP/lTSFQkUyNWiTk/WYJesRtpeHrPTBo9sFQ7s6OqCRY2AfGwliXFd8+0CBx2qRV9ZPDJPtvfARJN36qeesqyz/7z74sYvA8lnSQA7NWW78J0K+esJXt3piIH78OqDWnBXaPHzdPARNIfwVCslKij6PCWfhaj3YlAf/ZkvTNpzpteDMt8nyiYUbP9qF+x7eapu+o1fT4gMWXWHup9/vAv2nQzhh9qi2P8Z4pHXhVmuVV6DJtXdU+WvQvBIIYP+s/33b0cOlQAxvHYXzCQwSr9yC9UGTVb553iUSf4k8cgK4cg57+nmvEMd8qPEIyfK6eKXDTttcLcB8m6CFk90wwLu6Bqv1+6CmaxdtW3y0i1UG/1IfeXbTd1N/2YL4KdkhIlEIpFIJBKJRCKRSCQSiUQikUgkEg7e3v4HIH5LS9ndMAUAAAAASUVORK5CYII=)
III) ![](data:image/png;base64,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)
IV) ![](data:image/png;base64,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)
In the Hofmann rearrangement an unsubstituted amide is treated with sodium hydroxide and bromine to give a primary amine that has one carbon lesser than starting amide.
General reaction :
![](data:image/png;base64,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)
Mechanism :
![](data:image/png;base64,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)
If the migrating group is chiral then its configuration is retained. Electron releasing effects in the migrating group increases reactivity of Hofmann rearrangement.
Arrange the following amides according to their relative reactivity when reacted with Br2 in excess of strong base
I) ![](data:image/png;base64,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)
II) ![](data:image/png;base64,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)
III) ![](data:image/png;base64,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)
IV) ![](data:image/png;base64,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)
chemistry-General
physics-
The tube shown is of uniform cross–section. Liquid flows through it at a constant speed in the direction shown by the arrows. The liquid exerts on the tube
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUQAAACpCAYAAABTR0QuAAAKYElEQVR4nO3dX0zV9R/H8ddBYYcTaroKnC03zSRFnRcG/sF0rdVqecGcylaK05rlFjhvWhdcFFQ4/0RtkQ5Od7Ul3bqZToaTeeOUmHAi/w2dtiHOlhIo4reL3zt/v/M7B+L8+37POT4f25lwPvD9vj3TJ9/v+R7A5ziOIwCAcrweAADSBUEEAEMQAcAQRAAwBBEADEEEAEMQAcAQRAAwBBEAzOR4P9FxHPX09CRzFjwG5s2bp7y8PK/HAKLyxfute0NDQwoEAsmeB1lq5syZmjx5so4dO6b58+d7PQ4QVdxHiD6fTzNnzkzmLMhit2/f1vDwsPjWeaSzuIPo9/t148aNZM6CLFZYWKjh4WGvxwDGxUUVADAEEQAMQQQAE/dziLHq7OzUrl279Oeff0asbdu2TTt27FBOTvb3+ejRo7p27VrE/YFAQOvXr+clKYCXHBddvHjReemllxxJEbfVq1c7Fy5ccHMcT9y6dcupqKiI+hgsXrzYOXPmjNcjpsQzzzzjSHJCoZDXowBjcvWQbO7cuTp16pQ++ugj+Xy+sLWTJ09q8eLF2rdvn0ZHR90cy1UzZsxQa2urvv32W+Xn54etdXV1qbS0VB9//DFXZAEPhL0wu66uzrUdX7p0Sa2trbp7927EWmlpqYLBoBYsWJDyOQYHBzU0NJTy/UTT29urd999V6FQKGKtuLhYwWBQy5cv92Cy5CssLFR/f79CoZCKi4u9HgeI7n8PFxXlNC7VN5/PF/V+v9/vnD17NuWHyNXV1Z78vSf62NTU1DiDg4MpfxxSjVNmZIKwiyo7d+6MMafxu3nzpn7++Wf98ccfEWvPP/+8gsGgli5dmvI5cnJyPL2Y4zjOmN+9kZubq8LCQi60AG5xu8APHz50Ghsbnby8vIgjopycHGf37t1ZcUQ0ER0dHc7s2bOjHh2WlZU5PT09Xo+YNBwhIhO4emg0MDCgdevWqbq6Wvfv3w9bKy4uVkdHh/bu3Zv1PzRidHRU9fX1Wr16tfr6+sLW/H6/9u3bp1OnTunFF1/0aELg8eTq6xCrqqp048YNPf3002Fr27dvV21trfx+v1vjeOb69et655131NbWFrFWXl6ulpYWzZs3z4PJAMT9478Qn/b2dg0MDETcHwgE9Nprr2Xti9O5yoxM4NoRIv7j5Zdf9noEAGNIKIjDw8Py+XxRb5LC3gaAdBd3EGP9idnjBTOWtUTXM/FzvZjrzp07kqRDhw7pqaeeiu0fx/8ZGRnRyMhIQtsA3ODaKbMzzuvtkL7eeustbd26NaFt9Pf36/bt2/L7/Tx/iLQWdxDz8/P14MEDSf+N3URuj9vHp+NME/n45uZmnT9/Pt5/HlHx9AnSXUJHiJMmTUrWHEgzbW1tSQ8ikO6y8zUeABAHgggAhiACgCGIAGAIIgAYgggAhiACgCGIAGAIIgAYgggAhiACgCGIAGAIIuJWX1+vVatW6fDhw16PAiQFQUTcfvvtN3V0dOj69etejwIkBUEEAEMQAcAQRAAwBBEADEEEAEMQAcAQRAAwBBEADEEEAEMQAcAQRAAwBBEADEEEAEMQAcAQRAAwBBEADEEEAEMQAcAQRAAwBBEADEEEAEMQAcAQRAAwBBEADEEEAEMQEZPR0dGE1oF0RhARk4aGhjHXRkdHtWfPHhenAZKLICImBw4c0JEjR6KuNTQ06MSJEy5PBCQPQURMHMdRVVWVfv/997D7T58+rdraWo+mApKDICJmN2/e1ObNm+U4jiRpaGhIlZWVPH+IjEcQEZfjx4+ru7tbkvTjjz+qr6/P44mAxBFExO3cuXOSpM7OTo8nAZKDICImzz777KO3/zllHmsdyDQEETH55ptv5PP5oq5Nnz5dn3/+ucsTAclDEBGTFStWqLq6OupaY2OjioqKXJ4ISB6CiJjV1dVpzpw5Yfe98cYbevvttz2aCEgOgoiYPfHEE2ppaXn0/tSpU3Xw4MExT6WBTEEQEZc1a9bo/ffflyTt3buXiynICpO9HgCZq6GhQffu3dP27du9HgVICo4QEbcpU6aoubmZU2VkDYKIhBBDZBOCCACGIAKAIYgAYAgiABiCCACGIAKAIYgAYAgiABiCCACGIAKAIYgAYAgiABiCCACGIAKAIYgAYAgiABh+hQAAVzmO8+jPf27jvS9JeXl5mjRpUspnI4hIuYKCAm3YsEFdXV3avHlzTP8RJvqxiXwu+3FvP/EKBoPaunVrQtuYCIKIlJs2bZq2bNmiN998U7/++qvX4wBjIohwxcKFC9XY2Cifz/foJmnM9+Nd82I77DP1+8zNzZUbCCJcMXv2bH344YdejwGMi6vMAGAIIgAYTpkBD1y8eFF9fX1R11asWKH8/HyXJ8pMly9f1pUrV6KuLV++XIFAIKbtEUTAA0VFRfrss8/03XffRazNnz9fLS0tWrlypQeTZZaioiI1NDTo0KFDEWtz585Vc3Oz1qxZM+HtccoMeKCgoEDBYFA//PCDpk6dGrbW29ur8vJy1dTUaHBw0KMJM0MgENDBgwf1008/6cknnwxbu3TpktauXasPPvhAd+7cmdD2CCLgoU2bNqmzs1NlZWVh9zuOo8bGRi1atEgnTpzwaLrMUVFRoV9++UXl5eURa01NTSopKdHRo0f/dTucMgOSjhw5oo0bN3q2f8dxlJubq5GRkbD7r1y5oldeeUXvvfee9uzZo2nTpnk04cS0tbVp3bp1nu3fcRzl5eXp/v37YfdfvXpVr7/+uqqqqrR//35Nnz496ucTREDSgwcPdPfuXa/HGFNPT48GBgbSPojp/jiGQiH19/cTRGA8r7766phXfVPtr7/+Um1trQ4fPhyxFggE9MUXX2jnzp3KyUn/Z7jKy8s9exyHhob0ySef6Pvvv49Y8/v9qqurU01Nzbg/JIIgApLy8/P13HPPub7fc+fOqbKyUr29vRFra9euVXNzs+bMmeP6XPHy+/2ePI7nz5/Xpk2b1N3dHbG2atUqtbS06IUXXvjX7aT/lxwgC/1z0aSsrCwihgUFBWpqatLx48czKoZecBxHTU1NWrZsWUQMA4GAvvrqK7W3t08ohhJHiIAnurq6NDIyovr6+oi1DRs2eHKUlYm6u7s1ODioTz/9NGKtoqIi5i8oBBHwwJIlS7RkyRKvx8h4JSUlKikpSdr2OGUGAMMRIsb15ZdfqrW1NaFt3Lt3T52dnUmaCI+jr7/+WpWVlSnfD0FEVLNmzVJpaalCoZC6uroS2tbSpUt169atJE2Gx9Hw8LAr+/E5if6yA2Sl9vZ2Xbt2LSnbKikpUUFBQVK2hcdTYWGhpkyZkvL9EEQAMFxUAQBDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHAEEQAMAQRAAxBBABDEAHA/A2026SfLJrsPAAAAABJRU5ErkJggg==)
The tube shown is of uniform cross–section. Liquid flows through it at a constant speed in the direction shown by the arrows. The liquid exerts on the tube
![](data:image/png;base64,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)
physics-General
physics-
A bent arc shaped sealed glass tube filled with water is accelerated horizontally with acceleration a. A small air bubble inside it is found to be stuck at 1 cm from vertical axis. Neglect surface tension. What is the acceleration of the tube.
![](data:image/png;base64,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)
A bent arc shaped sealed glass tube filled with water is accelerated horizontally with acceleration a. A small air bubble inside it is found to be stuck at 1 cm from vertical axis. Neglect surface tension. What is the acceleration of the tube.
![](data:image/png;base64,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)
physics-General
physics-
A pan balance has a container of water with an overflow spout on the right-hand pan as shown. It is full of water right up to the overflow spout. A container on the left-hand pan is positioned to catch any water that overflows. The entire apparatus is adjusted so that it’s balanced. A brass weight on the end of a string is then lowered into the water, but not allowed to rest on the bottom of the container. What happens next?
![](data:image/png;base64,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)
A pan balance has a container of water with an overflow spout on the right-hand pan as shown. It is full of water right up to the overflow spout. A container on the left-hand pan is positioned to catch any water that overflows. The entire apparatus is adjusted so that it’s balanced. A brass weight on the end of a string is then lowered into the water, but not allowed to rest on the bottom of the container. What happens next?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAADPCAYAAAA+h9daAAAgAElEQVR4nOydeXhU9fX/X7Nk1sySfU/YErYggbCDgogsWkFRsCrFKgruWlvbH9W2Wv32W9f6Vau2KnVDAZHFDREMq4Qk7BAIhC1k35OZJLPf+/sjvZ8mLhCsC5j7ep4+9Zm5985lJud+zuec9zlHI8uyjIqKSrdB+2PfgIqKyg+LavQqKt0M1ehVVLoZqtGrqHQzVKNXUelmqEavotLN0P/YN6Ci8lNBlmWUDLhWe+6up+funamonGf4/X7q6+vxeDycy/IX1ehVVL4DJEmivLycJ554gr179xIKhX7sW/pGVKNXUfkOkGUZl8tFcXExtbW16kqvoqJy7qAavYpKN0M1ehWVboZq9Coq3QzV6FVUuhmq0auodDNUo1dR6WaoRq+i0s1QjV5FpZuhGr2KSjdDNXoVlW6GavQqKt0M1ehVVLoZqtGrqHQzVKNXUelmqEavotLNUI1eRaWboRq9iko3QzV6FZVuhmr0KirdDNXoVVS6GarRq6h0M1SjV1HpZqhGr6LSzVCNXkWlm6EavYpKN0M1ehWVboZq9Coq3QzV6FVUuhmq0auodDNUo1dR6WaoRq+icp7j8Xiora3F7/cjy/IZj1eNXkXlPKe0tJQnn3ySqqoqJEk64/Gq0auonOfU1NSwbt06GhoaumT0+h/gnlRUfhQkSaK5uZkTJ06QkZFBeHh4l88NBoN4vV6ampoIhUJd+qyamhqamppoaGjg1KlT6PVdNy+dTofZbCYqKqrL5yiEQiF8Ph+SJHXJvVeNXuUniyzLFBUV8eCDD/Lyyy+TkZHR5XP9fj+fffYZH374IbIsExYWdsbPamhooKWlhWXLlrF161a02q450rIsI0kSw4YN44477ujyPX5bVKNX+ckiSRJut5tjx47h8XjO6lyv18vRo0fZuXMnF110EU6n84znxMfHM2DAgLP6HFmW8fv9FBQUYDAYzurcb4tq9CoqX4Msy8iyTHJyMrfccgupqanfy+dIkkRrayuPPPIIfr//e/mML6MavYrKN6DRaDAYDNjtdiIjI7+Xz5AkibCwMAwGAz6f73v5jC+jRu9VVLoZqtGrqHQzVKNXUelmqHt6FZVvgSRJ+Hw+mpub8Xg8JCUlUV1djdvtxuFwEBcXR1tbGw0NDbS2tpKUlITVaj1j6u+HQDV6FZVvQSgU4tChQyxfvpympibuueceXnzxRU6dOkVqaioPPfQQu3bt4v3336eqqoopU6Zw/fXXf28BwbNBNXoVlW+BRqPBarVSVFTEiRMnyM7OZt68ebz//vssXboUjUZDRkYG8+fP5/PPP+eVV16hR48e/OxnP/uxb13d06uofBu0Wi1xcXFYLBZkWWbKlCmkp6czZcoUUlNTKSsrY+LEiaSnpzN58mRcLhdHjx79sW8bUFd6FZVvhUajwWg0YjQasVqtJCcnAxATE0NsbCxarRabzYbNZiM6OppgMEhbW9uPfNftqCu9isp3jEaj+bFv4bSoRq+i0s1QjV5F5Vui6PM7IkkSoVBIvK5U0J1LqEavovItkGWZQCCALMsYDAYCgQCSJOH3+wkGg6KsNhQK4Xa7MRqNaLVagsHgj3znqtGrqHwrJEni0KFDDBw4kAkTJrBp0ybcbjclJSUMGjSI9PR0SkpKcLlcHDx4kNmzZ2Mymdi/f3+XGl18n6jRexWVb4FWq2XQoEFkZGQgSZKI5F988cWMGjUKAKvVilarZerUqUycOBGdTofJZPrRA32q0auofAu0Wi1WqxWr1drpdYPB8JW2XCaT6Ye8tTOiuvcqKt0M1ehVVLoZqtGrqHQz1D29yk+WUChEKBTqclfajijBtkAggNvtpqGh4bu+PaA9C9DS0oLf7//BAnyq0av8ZKmvr+fEiROEh4ej0+nO6lylP15NTQ2PP/44ZrP5e7rL9gfLsWPHyMzM/N4+oyOq0av8ZJBlmZaWFqqrq/n8889Zv3495eXlZGZmntWgC2iPuA8ePBi3243X6z3rh8bZIMsy6enpZ9WX/79BNXqV8xpFGdfc3Ex5eTkHDhzgk08+4dSpU8TFxXH99dczZcoU4uLizuq6BoOBUaNGMWjQoB9ERqvT6TAajd/754Bq9CrnKbIsEwqF8Pv9nDp1ilWrVvHpp59SWlrKiBEjuP/++xk9ejQJCQnf6vrKmKnv063/sVCNXuW8IxQK0draysGDB1m6dCmff/45FouFsWPH8sQTT9CrVy/MZvMPtnKeb6hGr3JeoBSzVFZWsmPHDrZu3UpRURFms5lZs2YxcuRIBg4cSGRk5E9ydf4uUY1e5ZwmEAjg8Xhwu90cOXKEN954QxStzJ49mxkzZpCcnIzNZvva8yVJEtVwOp1OdKP1+XwinWcwGNBqtYRCIbxeL1qtFr1e/5VjlfO1Wi2SJOH1etFoNISFhYkJtX6/n0AgIM7XarXIsozH4/nKsYFAAL/fL15TjvV6vQDidVmWCQaD+Hw+DAbDV471er1nVcSjGr3KOYskSZSVlbFu3TpWrVrFtm3buPDCC1mwYAGXX345MTEx6PX60+a3/X4/hw4doqamhqFDhxITEwNAcXExJ06cIDExkczMTIxGI16vl5ycHAwGA9nZ2URHRwNw7NgxiouLSUpKIjMzE5PJhN/vZ/369ZjNZrKzs4mMjESWZU6ePElhYSFpaWn0798fk8mEz+fj888/x2w2M2TIEHFsWVkZu3btok+fPvTt2xej0Yjf72fTpk3o9XqysrLEsRUVFeTn59OvXz/S09PF/ebm5pKXl3dWJbuq0aucczQ2NlJeXs77779PTk4OwWCQCy64gHvvvZfevXsTHR0tcu+nM3iPx0NtbS3vvPMOZWVlpKSkCKPftm0b69atY+zYsfTr1w+j0UggEOD111/HbDaTnp5OdHQ0siyzd+9eVqxYwbBhw+jXr5+49ttvv43RaKR///7COA8ePMjixYtFeS1Aa2sr7777Lnq9npSUFHFsUVERixcvJiMjg9///vcYDAZcLhcrVqwgEAgQExNDRESEKONdvHgxgwcP5je/+Q0Gg4GmpiZWr15NXl4eHo+ny6u9Rv6xi3tVuj2K+9vQ0EBxcTEFBQVs2rQJv99Pz549mTRpEiNHjiQxMfGMK7vP56OlpYWSkhL27NlDXl4ezc3N3HnnnWLPD1BRUUFraytGo5HY2FgMBgMej4eysjIMBgMOh4OIiAhkWRZDLMxmMzExMZhMJrxeL6Wlpeh0uk4DLuvr62lqasJiseB0OjGZTAQCAcrLy9FqteK6kiTR2NhIXV0d4eHhREREYDabCYVCVFRUIMsyNpsNh8MhRm7X1dXhdDqx2WzCg6ipqWHr1q08/PDDLFmyhEGDBp1x5LW60qv8aIRCIQKBAD6fj8LCQt577z02b95MMBhk8uTJTJ8+naysrG/crytIkkQwGBSBvlWrVrF27VpKS0sJDw+npqaG2267Db1ejyRJaLVa4uPj8Xq9tLW10dLSAoDRaKRv374ABINB3G632HNHRUVhNBqFQRkMBqKjowmFQgA0NDRgs9mIiooS3W9bW1vxeDwAOBwObDabyCgoMQJlCxEIBDAYDISFhZGWliYeXk1NTUB7CrF3797odDpkWcbn89Ha2orVasVms53R6+mIavQqPwqhUIjq6mry8/NZvHgx+/fvJzk5mWuvvZbp06eTmJiI0Wg84xgoWZZxuVzs37+f1atX8+mnn2I0Ghk9ejQPPvggdXV13HzzzTz33HMMHTqUX/ziF6SkpOD1ennyySepqKgQ17Lb7Tz++ONotVpqamp4+eWXqampQZZlwsLCGDBgAHPnzsVqtdLc3Mwf//hHMVNeo9Ewbtw4rrzySkwmE0ePHuW1117D7XaL60+bNo0rr7wSgA0bNrBmzRrxUAgPD+e2224jPT0dWZbJz8/n7bff7nRvs2bNYsiQIXi9Xl566SWOHz+OLMuUlpbicrlU917l3CMUCgkXev369eTl5VFeXk5ycjIXXnghQ4YMoWfPnthsttO6qLIs4/f7qampYfv27WzcuJHi4mLMZjOjR49m2LBhDBgwgPDwcLZt28Ytt9zCokWLGDp0KOHh4RiNRrESdzRKo9FITEwMGo0Gj8dDc3MzwWAQWZbRarUYjUbsdjsGgwG/309dXZ1Y6TUaDTabDbPZjF6vx+v10tLS0mnmvMPhwG63A9Dc3ExbW5sIwBkMBiwWi/Bq3G63WOWV98PDwzGZTKKHfmtrq3hALFy4kCVLlpCZmam69yo/Lorr7XK5qKurIz8/n/fee4+qqiqio6OZM2cOEydOJCYm5itdaDqidJV1u900NjZy5MgRli1bRmFhITqdjkmTJjFz5kzS0tJwOp1Au8us0WgIhUK0tbWJdlUANTU1NDU1YbVaSUxMFHv6AwcOEBYWRlxcHPHx8UD7/r+hoYHw8HBhlLIs09DQII51Op1i/19bW4vD4SA2NlYECI8ePSqCbXa7HZvNht/vp7a2lsjISJxOp2iwefz4cTQaDfHx8YSHhyPLMo2NjRQXFxMbG0tUVBROpxOLxcKpU6dwuVxn96PIKirfE5IkyV6vVz5w4ID88MMPy8OHD5fj4uLkm266Sf7ggw/khoaGLl8nEAjI1dXV8ssvvyxfdtllcmxsrDxt2jT5H//4h3zixImvPc/v98sff/yxrNVq5aSkJDknJ0e899BDD8lJSUnyzTffLNfW1sqyLMsnT56UU1JS5L59+8pbtmwRn/3YY4/JcXFx8ty5c+XKykpZkiS5rKxMTkpKkgcNGiTn5eXJsizLwWBQfvbZZ+WoqCj5lltukSsqKuRQKCRXVFTIPXr0kIcNGyZv3bpVDoVCss/nk1999VXZ4XDId9xxh1xRUSEHg0G5srJSzsrKkocPHy5v3rxZ9vv9cltbm/zGG2/IZrNZ/tWvfiVXVlbKgUBALikpkS+88ELZbDbL8fHxckFBgezz+c74faruvcp3TigUorGxkcOHD/Pmm2+yadMmoqKimDBhAjNnziQxMRG73Y7JZDpt9Zr876q5kpISVq1axdKlSzGZTPTr1485c+bQv39/HA4HZrP5a13aQCBATk4ON998M4sWLWLUqFE4HA6gfaVXovcxMTGEhYXh9XopLy8nLCwMh8Mhjq2trRXR+6ioKOHel5WVodfrcTqd2O12sfo3NTURHh4uVu9gMEh5eTk6nU5E3yVJorm5mfr6euH2GwwGEb3XaDRERERgtVpF3KKmpobIyEjsdjthYWEEg0Gqq6vZsmULDz/8MO+++67q3qv8sLhcLmpra9m1axfbt29n//79hIeHM3PmTCZNmsTAgQOJioo6Y6S5ra2NpqYmDhw4QF5eHjt37sTn8zFu3DjRbTYmJkb0kj8ToVCIqqoqKioqMBgMmEwmHA4Hra2tHD9+XLjTUVFR9O3bF41GQ0tLCwcPHqSpqQlJktDr9URFRREREQG0b1vq6+vx+XycOnUKjUZDnz59iIiIwOl00tLSQlFRkYgZaLVaevfuLbYHdXV1lJaW4vF4qKqqIjw8nNTUVCIjI0lNTaWqqoq9e/eK4JzVaqV3795YrVYCgQClpaWUlZUhSRINDQ0i9tAVVKNX+a8IBAJCCrp161aWLl3KoUOHMJvNXHvttVx66aX0798frVZ7WkNXZKZer5dDhw6xZMkSCgoKcLlcXHbZZVx11VVkZWVhNpvPqrZdlmWam5t5+eWX2bNnD/fddx8pKSkEAgH+9re/cfjwYaDdKGNjY1m0aBE6nY7m5mZeeeUVjhw5QjAYxGQyMWLECO666y6MRiMtLS385S9/Eft0nU7HNddcw7XXXotGo6GkpITHH3+c+vp6NBoNOp2O6667jjlz5gCwY8cO3njjDRGsi4qK4sEHHxTCnd27d/Pcc8+JKTqxsbHcc889ZGVl4ff7eeWVV9i5cyehUEh4Il01etW9V/nWSJLEkSNHyMnJYfHixTQ0NDBw4EBmzJjB5MmTcTgc6PV6oTX/JmRZpry8nNzcXJYtW8bevXtJTk5m6tSpXH311cTHxwvN+dm0lAoEAmzYsIFbbrmF5cuXk5WV1Um3HgwGO8lXlQi98m8LBoOdovOKJl/R3vv9/k6GFhYWJh5Iyvkda/E76u6Vayvva7VadDpdp/cDgUCne+t476FQSNz71q1bueeee1i8eLHq3qt894RCIVwuF8XFxaxatYp9+/bR1tbG8OHDufjii+nfvz9xcXFnbFGl7NdLS0tZu3YtW7dupa6ujpSUFB566CEGDRpESkoKDofjjLn606EYd11dHS0tLV9R5JlMJvFQaWtro6ioCIPBgNPpFKtudXU1LpdLKPIUjXxpaSl6vR673U5UVBSSJFFbW0tjYyNWq5WoqCih0y8rK0Or1XZS7ykqO0WRp8QVKisrRZRfUe81NzdTW1uL3W7H4XBgsVhE2rCmpkYUFXUF1ehVzkgoFMLn89HQ0MDJkyf54osv+Pzzz/F4PKSnpzNz5kyGDRtGRETEaWvY5X93uWlqahLFJp988gk1NTXExcVx4403MnHiRGJjY7FYLN/JvcuyjNvt5o033qBXr17C4DZv3szmzZsZOnQoN9xwgwiiPfvssxgMBn7961+LY/Pz81mzZg2ZmZn88pe/BMDr9fLss8+i1+tZuHCh+Lxdu3axatUqMjIyWLBgAdAe63j22WfR6XTcc8894ro7d+7k/fffJzU1lXvvvRdoV/a99NJL+Hw+5s2bJ6TAubm5rF69mtjYWBYuXIgsy9TV1fHPf/6TgoIC2trauvydqO69ytei7CUVQc3OnTt577332LRpExqNhhkzZnDFFVcwaNCg0+bXlWspD45jx47x3nvvsW7dOmpra0VEf+TIkUKS+l2hRO9vuukmXnnlFSZMmCDutampicbGRkwmkwguhkIhocCLjo7GaDSKmICS04+KikKv1xMMBikrK0Oj0RAdHY3JZEKr1eJ2u6mvryc8PByHw4FOpxPVgnq9Xmj3lYdRVVUVTqcTp9MpPJqysjIAIiMjMRqNQixUWVlJVFQUdrtdlAJXVlayefNmHn30UTV6r/LfobiOubm5vPHGGxw5coSUlBTuvPNOpkyZIppVnOkPTBHm7Nmzh3feeYfNmzcTGxvLpEmTmDVrFklJSVgsljNe57v49zQ3N4s0ocViwev1Ul9fT3NzMzqdDqvVSlxcHFqtVij+3G43gUBAPBSUPXjHCbWK8CchIQGz2UxSUhLBYJCqqiqxAms0GpGWA8TDQfmePR4PkZGR2Gw2EhIShDekrMlms5nExERMJlMnd1+ZlttxPPaZUI1eRaDs10tKSvjiiy/Yvn07lZWVpKamMmXKFMaNG0daWho2m+20wTlJkmhtbaWyspK8vDy2bt3KiRMncDqd3HjjjYwbN45+/frhdDq/95ZWyor65ptvUlxczLx584iMjESSJN59910OHjwI/Keg5de//jVarRaPx8PSpUspKioiGAxiMBgYMmQI1113HQaDAa/XywsvvCAaWGi1WmbPns24cePQ6/VUVFTwz3/+k9raWhEEvPrqq7n00ksBOHr0KG+//bZI6TmdTu6++27x3SoNQxSPKzo6mltvvZW0tDSCwSBr165l48aNhEIhSktLaW1t7fJ3ohq9iqg2a2xs5LPPPmPlypVUV1cTHR3NbbfdxqhRo0hMTDxjqszn84kuN9u3b2fp0qUcO3YMWZa59dZbmTx5MqmpqRgMhh90cqvVauXqq69mxIgR4iEjyzJXXnmlmDCraOcV9Ho9kydPZvTo0YRCIfR6PTabDY1GgyzL6PV6brzxRlFwo9VqSU5OFkbqcDi47rrrRAUfQGpqqvjvhIQEfvnLXwpjtVqtwguQZZkePXqI+AEggn3K9ceMGUPPnj2RJIn9+/dTXFzc5e9DNXoVdu/ezSeffMIHH3yA3+9nwoQJ/PrXv+biiy9Gq9WK/50OWZYpLi4WD43S0lJGjRrFAw88wM9+9jORX/8202b+G5Q03IABA+jTpw8ajQaNRoPJZCItLa2TISrHA9hsNvr27dvJZVbO1Wg0mM1msrKyOp3b8X1Fpffl9xXi4uKIjY392vcV3f2X23YrWgedTkdycjJJSUlA+0P7bB6kqtF3QyRJoqamht27d7N48WJKS0vRarX8/Oc/Z8KECaSkpBAREXHGfbYsy9TX13P48GHee+899u7di9/vZ/To0TzyyCP06NGD6OhosUL+GMj/Llb529/+xoMPPig63yxbtozc3FwGDx7Mz3/+c8xmMy0tLSxcuBCj0cg999xDamoqsizzySef8NlnnzFw4EDmzJmD2WzG5XLx8MMPo9fr+c1vfkNcXBySJLFu3To+/vhjevfuzbx587BYLNTV1fHXv/4VrVbLHXfcQY8ePZAkiZycHD766CMSEhK4++67sVgslJeXi+j93LlzGTBgAKFQiDVr1rBu3TqcTie/+93vRLHN66+/zs6dO2lublb39CqdUdpGV1VVcfDgQbZs2cLevXvR6/VcdNFFXH755UJGejo3XpIk0YbqyJEj5ObmkpubK1paTZs2jcGDBxMdHf1f5de/S6xWK9dcc02nlXXMmDGi/FZZ3bVaLfPnz8dgMHTKSAwZMoTU1FRsNps41mg0csstt3xFfHTBBReQkJCA3W4XDzq73c6tt976lS1EVlYW8fHxOJ1OcWxUVBRz585FlmWioqI63W9aWhqRkZHi2NjYWObMmUOPHj0oKirq8vehGv1PGCVVpuTGN27cyMqVKykoKCA1NZXZs2dz6aWXkpqaKkpOv+k6SlfZ1tZW8vPzWb58Odu2bcNsNnPVVVdx2WWX0bdv37MeH/V9o9Fo0Ov1IvevdM5JSkoiNjYWv98v9uUmk4mMjAyCwSAajQa/3y/SbE6nU6jzJEnCZDIxcOBAoYxrbW3FYDB0KslVMBqNwsNQUO7pyy6+cg8d0el0xMTEiP5+HdV+8fHxJCQknJVaUTX6nzAej4eSkhLWr1/Pu+++i8vlYtCgQTzzzDOMHj1aNJQ4k0w2EAhQUVHBli1bePvttykpKSE9PZ3777+fKVOmCFHOma7zY6B06JkzZw4TJkzgkUceITExkZaWFn7729+ydetWAK699lquueYali9fzu7duzGbzUydOpWrrrqKjz/+mDVr1lBeXs6wYcO44oorGD16NBqNhsOHD/PBBx+wa9cuZs+ezZQpU87Y3uu/xe1289JLL7FkyRLR1svtdnd5/Na59yup/Ff4fD6am5spLCwkJyeHvXv30traypgxYxg5ciRZWVkin3w6Nz4QCNDS0kJxcTE5OTns2LGDuro6+vXrx/XXXy9cXqvVes648V+HRqPB4XBw++23M2rUKCIiItBoNBiNRm677TYmTpwIQHp6OqmpqVxyySW8//77aDQaFixYgFarZezYseTn57Ns2TKmTp1K7969xaqamJhIdnY2xcXFjBgx4rQeE7Q/iPfu3cvAgQO/9cPBaDRy1VVXkZ6eTigUoqioiEWLFqkrfXdC2We7XC4qKir48MMPycnJwePxkJmZyQMPPMCAAQNwOp1n3K8rbZ5qampYv349n3zyCQ0NDaSkpPDAAw8wdOhQUVN+PqAY+IgRI8jOzhbTb7xeL4mJifTo0UM0lgyFQgwcOJCePXtSVFREZWUlGo2G2NhYZs2axT/+8Q8qKio6rahKP70JEyYQEREh1HpK48uOmY+2tjZKSkp4++23+f3vf9/J6JUtlJIe7JjlUD5P6QIUFhZGRkYGvXr1wu12YzAYhHKvK6hG/xOgtbWVTZs2sWLFCjZt2oTZbObqq6/myiuvJCsrq8t/DD6fj4KCAlauXMlnn32G2+3m6quvZubMmYwePfqcXtG/CaUBxb/+9S8iIiIYNGgQAB9//DHbt29n8ODBzJ49Wxi+w+FgxIgRHDhwgG3btjF16lQcDgfJycmMHj2agoICKisrxWBMl8tFYWEhd9xxB2azmUAgQFVVFbW1tURFRYlWXABHjhzhb3/7m+iPpzwYoH0bUldXR1NTEykpKVgsFvG7+f1+GhoaiIqKorq6WrTXrqys5PXXX6egoEB177sDkiRRWlrK5s2beffdd6muriYhIYE//vGPjB07FqfTSXh4+BkNXv739JRdu3bx5ptvcuzYMSIjI1mwYAFTp04lIiLijAq8cxlF/jpnzhx69eolXp86dSrjx4/HaDR+pbhn6tSprF69mh07dojmFEr2o6SkhJ07dzJ06FCgfVKO0ju/oaGBFStWcOzYMcaPH89LL72Ew+HgV7/6FQ6Hg02bNnH06FHcbjevvvoqkyZNYsKECdTU1JCXl4der+fQoUNs3ryZX/ziF0ybNo3S0lKeeeYZysrKmDNnDs8//zxZWVn8/ve/Jz4+ngULFjBgwACOHDnSZQ3E+flLdlNCoRBNTU2cOHGCXbt2kZuby8mTJ0lKSuKyyy5jwoQJJCcni8aQ34Si3S4tLWXPnj3k5uZy6NAhYmNjufbaa5k4cSK9evXqlDI6n+lYOKTX6zEYDCL95nK5aGtr6ySmSUtLY8yYMSxevJijR48yYMAAWlpakCQJSZLYunUrs2bNwmw2c+TIEYYNG4Zer6ewsJD8/HxuuOEGsrKyCAQCPP/88+Tk5DB9+nSmTp1KTk6OaGfdu3dvfD4f77//PsnJyfTr14+0tDS++OILFi1aRGpqKikpKYRCIU6ePElVVRUXXnihkBYrRq6oBLuKavTnOEqqzOv1UldXJ3q7Hzx4kLFjx3LfffcxdOjQM8pklTSP1+vF7XazZs0aPvjgA/bt28eAAQO45ZZbGD16NKmpqeelG/9NKFVyzz33HCNGjGDevHkkJiYSCAR46qmnREXbxRdfzI033gi0q/EmTpzI4sWLWb58ObfddhuHDh1i2rRpYiU/dOgQPXv2xOv1kpaWBrQ3ycjKyqJnz54i9abVasfbGyIAACAASURBVCkqKmL69Omib57b7SY6Ohqr1crRo0dZvnw5V199tajq69GjB/n5+Rw+fJihQ4eK4qahQ4eSmZmJz+fjrbfe4tixY6KC72w656hGf47jdrvZv38/H330EcuXL8fpdDJu3DgefvhhBgwYIPqsn0kXr7ShWrNmDe+++y46nY4RI0bwj3/8g+zsbMLDw7t0nfMNjUaDxWJh2rRponxXo9FgMBiYO3cuR48eBRCGC+059F69epGdnc3atWuZMGEChYWFXHvttbS1tbFmzRo2btwo2lilpKSg1WoZMWIEF1xwAeXl5axevZqDBw/icrm+sX+d3+/n6NGj+P1+YmNjhax2zpw5/OIXvyAuLk48gC0WC7169RI9+ubOnUthYaHQ3h8/frzL34lq9OcgHo+H+vp68vLy+PTTTzlx4gRGo5H58+czYsQI+vTpQ3R0tBix/E14vV6amprYvXs3H3/8MUeOHAFg1qxZjBkzhvT0dOLi4jAajT85Y++IXq8nNTWVtLQ0EVRrbGxEr9fTr18/0XVWQaPREBMTw7hx43jppZdYu3Yt4eHh9OzZk+nTp7NhwwY2bNiA0WgU/QSUgOHGjRtxu90MGTKE9PR0oQP4OiRJoqmpCa/XS0REhBipBe0eiqLjV+5JyQbodDri4+Ox2WzU1tZSV1eninPORwKBAG1tbdTW1nLs2DE++OAD9u7di9FoZOzYscycOZPevXtjsVhOa6BKfXddXR0lJSV8/PHH5OXlodVqyc7OZtasWfTr1++8Ds6dDYoxvvnmmwwcOFCo2jZs2MDatWsZM2aMKJftiM1mY+zYsbzwwgts3LiR2267DaPRSEZGBoMGDWL16tXY7XYuvfRS9Ho9oVCInJwcPv74YxYsWEBmZiYlJSVfm9pUKuW0Wi1OpxOXy8WJEycYPXo0NptNtBBvaWnp5IEoKA+AUCjEG2+8wfbt2/H5fKp7fz7QsTtNVVUV69atY/Xq1ezZs4f09HTmzp0rylHPFJlVgkz19fVs2LBByG2V4Ny0adPo06dPtzD0L2MwGBg4cGCn7zA6Oprs7GwSExO/9hylMi8hIaHTvt3pdDJq1ChWrlwp9ujQ/v0rI6YdDgehUEg0yejY5EKj0Yhhm6FQiD59+gCwfPlyUlJSGD9+PF6vl7Vr1xIbGyvuT4ntdDRsnU7HoEGDcLvdHDt2rMvfR/f7CziHUGSyH374IStXrsTj8TB48GBeffVVMjMzsVqtmM3mMxq80nt93bp1LFmyhMbGRvr378/TTz/NyJEjxXV+yi78N6HRaLBarUyZMqWTgY8aNYphw4Z1GnX1defdeOONHDp0SMya1+v1DBgwgOzsbG644Qaxx9ZoNIwePZrXX3+dRx55hIyMDE6dOkVzczO7d+/mtddeY8aMGcTGxrJ582befPNNevbsyezZs1m4cCHPP/88CxYswGazERERweWXX86UKVNoamqitraWlpYWDh8+3Klq0W6387Of/Qy73c7atWtV9/5cRFnVa2pqKCwsJDc3l927d9Pa2sro0aMZOXIkw4cPJzY29rSFK4qHUFtbS1FREbm5uezcuZPGxkYGDx7M8OHDxTz371sHfj7g8XhYu3YtdXV1jB07Vijn1q1bR319PdAuwx09erTwhJRe9orsNioqimAwiE6no0+fPtx0000MHToUrVYrXOsZM2aIrjmpqalMmzaN3bt309jYyNSpU4mKiuKKK65Ar9cTHx/PuHHjxGfY7Xb27t1LKBQiIyOD8ePHY7VaKSsr4+KLL2bkyJEYDAYkScLn87Fx40aqqqqQZZlDhw6J/vtdQTX67xlFXun1emltbaW6upo333yTrVu34na7ueSSS7juuutEcO50KNdpa2ujoaGBt956iw0bNtDQ0MDYsWO58847RQtqlXYUQ9Dr9ZjNZrEaBoNBkpKSxLAJRQOh/AZKi26dTkffvn1FW6uIiAhiYmKYNWsWtbW1YkS00vhi/vz5BINB9Hq96PIrSRJhYWFYLBbGjRvHiBEjAKiurqaqqgpo9zxmzJiBRqMhLCxMlC+HhYUxYcIEDAYD8fHx6PV63G438fHx1NXVIUnSWUui1W643zOSJNHY2MimTZtYtWoVH330ERdccAGTJ09m+vTpYp99pu40SkBq69atrFq1ihUrVtCvXz8uueQSZsyYQf/+/UU0/4fuTnOu0nHYxcqVKxk8eLAYqaU8jDsOm/i6KTxfNo+O73/Te8pD4HTnft35Z3P9jve+efNm7rrrLnXYxY9NS0sL1dXVrFu3jo8++ojm5mZSUlJ4/vnnyczMJCkpScxhP91erLW1ldraWjZs2MCqVatoaGggLi6OJ554giFDhpCcnIzdbj+rgovuhBLc/OMf/8j//u//csEFFwDwyiuvkJOTw/Dhw5k/fz42m426ujoWLFiA1Wrl//2//8eAAQMAePfdd1m1ahVZWVnccccdOBwOGhsbuf322zGbzTz00EP06dMHSZL44IMPePvtt8nKyuLOO+/E6XTS0NDAvffei8Vi4b777qN///6EQiE+++wzXn31VUaOHMn8+fNxOBzU19fz0EMPodFouOOOO+jfv7/osvPiiy8yYcIEbr75Zmw2G/X19Tz++OPk5+fT0tKiuvc/Bora7dSpU+zZs4d169ZRVVVFVFQUN9xwAxMnThSNIU+3Gvt8PtxuN2VlZezdu5f169dz6tQpnE6n6Kjas2fPn3x+/btCq9WK3vQKMTExxMXFdepEo9Fo6NmzJzqdrlOXXofDQXx8PDExMZ2OTU1N/cpvEB4eTkJCAgkJCeJYvV5PYmIiFoulk9rRbrd/5Vhl3r3S20953el0fuVYg8Eg5tUrysKuoLr3/yVKOiYQCFBSUsLKlStZu3YtFRUVjB49mquvvpoLL7wQp9N5WkNXrqMMUVi1ahWffvopJSUlDB06lNmzZ3PRRReJwQwqZ6aje//ee+8xZMiQTrPolN8N/jOrTjF25beQJEm468qsOeX8jrlxZS/+5Vl2HWfhfXmWXcdZdzqd7iuz7JSOPsr7XzfLTpZltm7dyr333qu69z8UjY2NHDx4kPfee4/169fjcDgYN24cs2fPpnfv3phMJjH95HQ0NzdTVFTE+++/z5o1a7BarYwaNYpHH32Uvn37YjabuzyaWeU/KKq3//u//+Oiiy5i1qxZRERE0Nrayocffkhubi7Q7g0MHDiQefPmodPpqK2tZfXq1Rw+fJhAIIDJZCIrK0ukyFwuF0888YQI8Ol0Oq699louuOACDAYDpaWlLF26lIqKCqB9tb/mmmsYO3YsAPv27WP16tU0NDQA7d1xf/7zn9OnTx9kWaagoIClS5eKh0Z8fDxz5swhMTERj8fD5s2bWb9+vZhnr4zU7gqq0Z8lsizj9Xqprq4mNzeXbdu2cfjwYcLDw/nlL3/JsGHD6N+/P5GRkafdr8uyjM/no7q6mry8PLZt20ZRUREmk4kbbriBYcOGiXnuZ+rGovLNKDr7/v3706NHDxHIMxgMREREMGzYMHFcx669ZrOZHj16iL56er2epKQk8ZuGhYUxaNAgsRorbbHDwsLQarVYLBbS09OFNkCr1XaS+oaHh5OZmSkm4FitVpGm1Wg0REVFMXToUOFJ2Gw2cW2lSjA7OxtJkigqKmLHjh1djumo7n0XUNyplpYWXC4Xhw4d4q233uLgwYOYzWamT5/O9OnTRXDudIYuSZK4zpEjR3jrrbfYv38/YWFhXHbZZcycOVNMa1X571Bm2d1yyy0sXbqU7Oxs4b63traKcVWKtFnpN6e4+crDtq2tDb/f3+nYUCgkjjUYDGI+ndfrxev1EhYWJkZoKb+58rD5umOVHoPKdCBAdMSRZRm/34/H48FgMIix3Uq58ObNm/n1r3/NO++8o7r33xWKoGb16tWsWLGCAwcOMHz4cO6++24uvfRSEhMTOxVHfBNKJFlJue3Zs4ehQ4eyYMECpkyZQkpKSpeuo9J1lHz76tWriYmJEcq6TZs2UVhYSJ8+fZg8eTJWqxW3280//vEPLBYLP/vZz+jVqxeyLJOfn09BQQE9evRg6tSphIeH43a7ee211zAYDMyYMYPU1FQkSWLXrl1s27aNlJQUpk2bhs1mE9p/rVbL1KlT6dOnD8FgkL1797Jp0yYSEhK44oorsNvtNDY2snz5cgKBABMnTqRv376EQiF2797Nxo0bSU5OFluMuro6UVvR1tamRu//W0KhEG1tbZw8eZLly5fz0UcfYTQaycrK4oEHHiAjI4OIiAgsFstp99nKdUpKSlixYgWrVq0S1Vn33nsv/fr1E/XS6n79+0OSpE4qR2WibMcuvgaDAYfDQTAY7ORqK6u7cqzSd0+J3CuddxS3XpHwhoWFiWk6yjnKdXU6nfAKlem0yhZAOVaZTqvRaITcV5mmq3yGTqcT6kHVvf8WyLKMx+OhoaGBQ4cOkZeXR15eHsFgUAxxHD58uBg3fDqU2XAdr+P3+0lOTmbq1KmMGDGC2NhYNb/+PdJxVPXLL7/MqFGjiI6OFh1zXC4XHo+H8PBwYaCAKGHVaDQifRoIBMSoapPJJOodZFnGZDJhNpux2WwEg0HRoUeZcitJEm63W8yjM5lMeDweGhsbaWxsxGKxYLPZsFqtmEwmUW6rNMGE/2wN7XY7YWFhSJKEy+WiubmZvLw8/vznP7NkyRIGDRqkuvddRUnB7N69myVLllBQUEBzczNXXnklV1xxBVlZWWeMwgeDQQKBAD6fjwMHDrBs2TLy8/NpamoS+35lX6mu6j8MsizT1tbGp59+SktLCzNmzMBisWA0Gtm7dy+7du0C2g29X79+XHnllWi1Wpqbm1m3bh1HjhwRU2sHDhzIJZdcArR7cB988IEIxGm1Wq688koyMjIwm81iG1ddXQ0gYjZKQ82Kigo++ugjXC4X0C7vveaaazCbzURERLB//34+/PBDEb2Pjo5m1qxZWCwWAoEAu3fvZsOGDUiSxPHjx/F4PF3+TlSj/zctLS2sWrWKZ599lpiYGGbPns1VV10l3KmOK8E3oYxmXrJkCfv27SMtLY1rrrmGmTNnEhMT0+XrqHy3hEIhKisrKSsro7W1FYvFQigU4vDhw5SUlAB85SHs9/spLS2lpKREGL2ykiuZl+PHj+Pz+cT5ZWVl9OrVi7CwMFpaWjh58iQ1NTVA+0OlvLxcKALr6+tFFR5AU1OTmHAryzINDQ2duuEonqMyaefkyZOcOnVKlGUrD4euoLr3/8bn81FSUsK+ffvo3bs3qampQlBzumi82+2mvLycTz/9lPz8fKqrq0lNTWX8+PEMHjyYtLQ0sX9Ujf2HRXHvb775Zv71r38xbNgw0TxEGUXldrtF8NRoNAqFns/no62tDa/XiyRJ4n2Hw0FYWBiBQIDa2lpCoZAQ9ihyaK1Wi9/vp6WlRaT0lPHVStVjS0sLbW1t+Hw+EdW3WCyEh4d3yvB0VOrZbDaMRiOhUEioP0OhEPn5+SxcuJAlS5ao0fuzwWg0kp6eLqK7pzN0v99Pc3Mz1dXVFBQUsGrVKqqqqoiLi2Pu3LlMmDCBuLg4EcBR+XFRYjVhYWFij1xXV0djYyN2u11Ur/n9fg4fPoxOpyMpKYnIyEgAampqqKurw2azdUqlulwuMZfeYrGIKb41NTXYbDZx3UAgwIkTJ2hra0Oj0RAeHo7FYsHn8+FyuUQzjrCwsE6xAqUlllK0dezYMcLDw0lMTBQ9DcvLy8+qKSaoRt+J0xmoUsPu9/uFcu6TTz7B5XIxYcIEbrvtNsaMGXPG9tMqPyxKPrygoID+/fuLlXb//v2io+0ll1yCXq8XTS+VOXY9e/ZElmWKiorYvXs3qampTJo0Cb1eT2trK+vWrcNgMDBt2jSRsisuLiYvL4+UlBQmTZqEzWajpaWFnJwctFotl1xyCb179yYYDHL06FG2bdtGfHy8qKlvbm5m8+bNBAIBLrroIjIyMggEAhQVFZGXl0dMTIxI2dXX17N161by8/Pxer1dNnzVve8CgUAAl8vFvn37eOONN8jLyyMiIoLJkydz1VVXkZiYiNVqFaIJlXODjuKcZcuWMXToUCHOaWtrE+IcpatQMBgUNfSKMAbam3AoE2wVwY0i1lLEOYqIxuv1imOVlJ4kSSLgp4h2lLiAz+c77bEdxTmKkKejOMfr9bJ582buv/9+VZzz36Lk16uqqigoKCA3N5cjR45gt9u5/vrrGT9+PP379xf7OJVzE0Wcs3TpUsrLy5kyZYqYSZ+Xl8fu3buBdm187969mT59OlqtlqamJtauXcvRo0cJBAJi+zd+/HjCw8Npa2vjrbfeEqIYRXijjOuur69n+fLlVFVViT37xIkTRSCvuLiYjRs30tjYCLRH76dOnUpqairh4eHs37+fzz77TAToYmJiuOKKK7DZbAQCAXbt2sWWLVsIhUKcOHFCLa39LvD5fGzYsIG33nqLo0ePotVqmTdvHpdccglpaWmqHv48QQm2vvPOO9TV1TFu3DjCw8OFF/D2228D7TGdiRMncsUVVwCIgSDr1q3D6/WKPntKz8HW1lYWLVokutcobbZ79eqFRqOhvr6ed955h8LCQiHwiYuLE0Z/6tQpFi1aJEpik5KSGDZsGKmpqQAUFRXx0ksv4ff7kWVZtPNyOp34/X527NjB3//+dwKBAB6PR1QDdgXVvf8GampqWLhwIQCXXnop06ZNw2QyifJGNUB37vN1pbVKylSW5U7lq0rprOK1KaWxSopOeV8peulYWqu8bzAYRGmt4pIr0f1vKq1VVnKldFZ5PxAIdOp+q2w5OpbWKg+EL774gnvuuUd17/9bHA4Hv/nNb7BYLERERAiXUOX8QhnjXVBQQFpaGvHx8QDs2bOHEydOkJyczAUXXIDJZMLlcrFmzRqMRiNDhgwhPj6esLAwCgsLOXLkCMnJyWRmZmI2m/F4PKxbtw6LxcIFF1xAfHw8kiRx+PBhDhw4QI8ePejXrx9WqxWv18u6deswmUxkZmYKgU5ZWRm7du2iT58+pKenYzAYaGtrY9OmTWi1WjIzM4mPjycUClFWVkZ+fj79+vWjV69eWK1WgsEgeXl55ObmigdAV1D/ir8Bo9FI//79SUtLExpolfMTZQS3UrsO7WOjt2zZwsGDBzvVoefk5LBx40a8Xq947eTJk2zZsoW9e/cKwwoEAmzatImcnJxOxnbq1Cm2bNlCXl6eeK21tZXNmzeTk5Pzletu3bqVzz//XLzmcrnYtm0bOTk5Yr8PcPjwYbZs2cLq1avFa83NzWzfvp0dO3YIkVBXOGv33u/34/P5sFqtqiF8DYrrFQgE0Ov1P6lhkOcbHd37FStWkJWV9ZXGmB2VbFqtVrjXHQdUAMJF73j+l2fUddTsf/l85f2O8+g77sMVgU/H9zveW8exVl++9y1btny/jTGXLVvG008/zaZNm8RoX5X/4PP52LlzJy+99BJ33XUXo0aN+rFvqVvTsaZCr9fTo0cPHA4HHo+HEydOUFlZKY612WwMHz5cRO+Li4tpbW0VLaydTid9+vTBYrHQ1tbGzp07RUxAq9WSlpZGQkICBoNBiGkUaS1A79696dmzJ9DuEVRUVAjNvNVqJS0tjcTERGRZpry8XMweBMQsvaioKLxeLyUlJVRXVyNJEoWFhd/vWCulO2swGDzbU7sFkiTh9/tFBZfKj4tGo8Hv93PgwAHMZrMYT6XT6Thw4AAnT54Ux0VHR4ue9FqtlmPHjlFRUUEoFEKv19OnTx8yMjJEEHffvn2dUnYmk4nk5GTxmXv27BHaeq1WKwwX2u1o586dnYy+R48e4l5cLhd79uwRq7nSRFOj0aDX6zl+/DhFRUVCEKT0+usKaiBP5SeP1WplxowZQnuvGO2UKVPw+XwiIq/T6fB6vWi1WsxmMzNnzhQCGkmSMJlMYrtmNBqZPXu2MHhlmAW0e3tRUVFcf/31wsUPBAKYzWZCoRA6nY6MjAySk5Npa2sToh9FiOPz+UhNTeXmm2/+ytRaxeuYMmUK48aNw+fzkZuby5YtW7qcUVI35So/eQKBACdPnhTpM2h3r3fv3k1dXR3h4eE4HA70ej35+fns2LEDj8eDyWQSTTALCwspLy8XK28oFOLAgQMcO3ZMNN8ICwujsrKSbdu2cfLkSYxGI06nE6vVysGDBzl48KBw9/V6PS0tLRw4cICmpiaMRiMGg4FAIMCOHTsoLCxEq9XicDiw2+20tbXxxRdfUFJSIurszWYzJ06c4NixY+e39v7YsWNC1HA6wYGSGz3Tax1RAjX/8z//Q1pamppr7wYoirz333+fkSNHig40SjfZUaNG0aNHDwwGA36/nxdffBGTycSf/vQnUUexc+dOVq5cSXZ2NrfffrtIrb366qsYjUYee+wxHA4HkiSxZ88ekS+/7777MBgMuN1uFi1ahF6vZ+HChdjtdiRJYt++fbz++uv06tWL3//+94SFhdHY2MjixYvxeDzcc889DB48GEmS2L17N//617/o2bMnf/jDH9Dr9dTV1YmeDa2treevIq+xsZGCggKqq6uJiYkRk2IGDx6M3+8XwojKykocDgcRERHU19cLNywtLU10Lqmurqa1tZWePXtiMBgoKyvjxIkTNDc3n/EBofLTQKPR4HQ6ufvuu0lKShKvX3bZZYwfP76Tyx4WFsajjz4qVm6FCRMmkJ2dLcRZ0N4t99FHHxUz8hTGjh3LgAEDsFqt4li73c6f//xntFqtKPjRaDSMGjWK9PT0TsdGRESwcOFCJEkSWxFlIm56erooDYb2xhr3338/W7Zs4U9/+lOXv5NzzugVF+ySSy5h0qRJVFdXs3LlSv7yl7/gdrtFscOHH35IZmYm2dnZ5OXl0drayvHjx7nxxhspKyvD4XCQk5NDcXExN954IzExMbz55ps888wzZ9VwQOX8RtkLR0REdNpTx8XFidSqoo5T9tqAKGaRZRmbzSa0Goqiz2AwiEg7tBfwhIWFERkZSVRUlJgnrwTq4uLiOhVkSZKExWIRcm5lMTMYDKSmpgq1oJLXt1gs9OrVS/TEU2IFUVFRREdHi959XeGcM3qgU+BDaf6nSCCVFsDKj6fUSNvtdvGeEuwwmUwiUNJRIqnSfZAkiYaGBh577DGys7O56aabSElJwev18vjjj4vOOUrzyaeeegqtVkt1dTV///vfRVcag8HAoEGD+OUvf0l4eDhNTU08+OCD4sGg1Wq5+OKLueqqqzAajRw9epSXX35ZRO81Gg1XXHEFM2fOBGD9+vV89NFHot213W7nrrvuIiMjQ0hrX3/9dfFQcTqdXH/99QwZMgSv18uLL77IkSNHCIVClJeX09TUdP669x1RGhMo3UIA8bT1+/2i6YDSGVQRCykpFqPRKCaQwNdPCVX5aaPRaHA4HNx+++0MHToUp9MpdPD33nuvUL0pwyo6zo674447RP5bKcFVGpmGh4ezcOHCTmOxlAEnOp2OtLQ0fvvb34qVWhlgoTBmzBgyMzNFnt9kMnVy/bOysvjDH/4g/maNRiMRERGilPfWW28Vhr5jxw4x9LIrnLNGr/wISrfRL2uLleEDyv8rP5gS/FNqkV0uV5fH/aj8NFE8R2XEGLTPhne5XFitVhITEwkLC8Pr9VJYWCiGSCoxgMrKSiHhVYJ7SoBQr9cTFxeHw+FAlmVqa2s7dc5RIvLHjx+nurq6U9sspQOT3W4nKioKo9GI3+/n5MmTaDQaYmNjsdlsyLIsxD6RkZHExMQQERGB1WqlrKwMj8dzVvGpczZlp5QjKkbf0tLSyXiV5gOKJLhjq2D4z3SQ5ubmTrO8VboXkiRRV1fHI488QmFhoXj9rbfeYu7cuTz//PPCG6yvr+emm25i/vz5HD58GGj/e1q+fDlz587lmWeeEUHgxsZGbr75Zm6//XaOHTsmPuujjz5izpw5PP300zQ2Nopjb7nlFu68804OHjwoJLzr16/nuuuuE8eGQiEx1vqee+5h//79opouJyeH2bNn88ILL9DU1EQoFKK6uprf/e53/OlPf8Ltdp//s+y+vNK7XC6io6OB/5QtKv3HlBSIoomWZVns75ubmzuVMKp0L7RaLTExMTz55JMMHjxYvD5//nx+8YtfiC630B4NX7FiBXq9vtOwizlz5oi9usPhEK768uXL0el04litVsvMmTO59NJLMZvN2O12ceyyZcvEMAsldXz55ZczduxYMcdOp9MRHR3NokWLxGw9vV6PTqdj2rRpjBw5ErvdLuJcCQkJ/P3vf2fLli08+OCDXa6FOWeNHhDDAhU3XWlUCP9Z6YPBIBEREeJpraz0StBPkiS8Xq8qG+6mKAvEgQMHCA8PZ9CgQSJAXFFRIVZprVZLQkIC2dnZaLVa3G43BQUFIpAXFhYmGlJCez38gQMHxJ5fq9UyZMgQ4uLisNlsNDc3k5ubS2NjoyimUUpwoX3LcOjQISHWsdvtDBo0iJiYGBISEigpKSE/P1+s3g6HgyFDhojOOcXFxUKGe+TIkbMqrT1njV75ohSJ4pdH8XYsMFAKKIBO8771ej0Wi0UYvRrI637IsozL5eKVV17h0KFDPPjggyQnJxMIBHjuuefYt28f0P730qtXL9544w2gvWz1rbfeYteuXSKTNGbMGB544AFMJhNut5snnnhCRN91Oh233nors2fPRqPRUFpayt/+9jdR0BMWFsZNN93EvHnzgHbd/gsvvEBdXR3Q3g7rscceIyYmBlmW2b17N48//rj4e05KSuKhhx4Sk3KXLVvGmjVrCAaDNDU1nVVH3HPW6BWU1JsyCQT+8/SWJEn0G6+trRV7JUAUJkRERODxeAgGg6oYpxui5ORfe+01hgwZIvLZVquVF198sVOhSsfS18TERJ588kmxLVQWISVPHx0dzccff9zJ0DqmhTMzM1myZEmnhapjAL7tjwAAChhJREFUyeull17KxRdfLN7vWNar0Wi4/PLLmTx5sjheidormYPf/e533H///QBs3bqVe++996fh3gNipW9paRFfWigUEkUQSvpFMWgleALtP6LT6RRpE6WgQaX7oCwE9fX1tLS0iC1iZWUlLS0tmM1mEWVva2vj0KFDQjMfGRmJLMtUV1fT3NyMxWIRk4qUCTh6vR6HwyEEObW1tTQ2Noq5d2azGb/fT1lZmUgfKgM1WlpahPY/IiICg8GAz+ejoqICWZax2+1EREQgSRLNzc3U1tZit9txOBxivFVtba2oej2vO+cohqzk281mM4FAAIPBIAJ1Hf+RHSuR6uvrRUBPUWIp8t2OckmV7oHSGPO1114TI6YANm7cyJNPPsknn3wivMNgMMjTTz/NU0891cmz3L59O08++SQrV64Ux3q9Xp566imefvppkWsH2LFjB0888QTvvvuu8BJcLhdPPfUUzzzzDE1NTeK+duzYweOPP85rr70mVvyGhgaef/55nn76acrLy8Wx27dv569//SvPP/+8SEvX19fz0ksvsWjRItE2uyuckyu9MvK3Y69xpQ2x0ixQ6fv95c4jjY2NpKamip7mkZGRoouN1WpVV/puhhIFv+GGGzpp7ydNmkRWVhY2m014kCaTiQceeABZlkWmSKPRMGbMGKF77yjO+dWvfiW2l9D+dztixAhSUlKIiIgQx0ZGRnL33XeLnL6y9Rw5ciQJCQlER0eL4ahxcXHMnz8frVZLUlISWq0WrVbLhRdeSFJSEnFxcaJPf2JiIvPmzeP/t3d3IU39fxzA386mtjndUmeGtqZWRBdJRIJBkPaAlDdRu+hJIXU10aQIpOgmSs0eIL1IAs2YRhc90UUhoaHRRUVE3fXgQ1FTLIdbbsez4zn7Xfg/h9afXz9XWzvb+bwgyDi6r9p73+18v9/PZ/ny5WhpaYnuzTni0oZ4h14MvbjRAYBUClh8hhQ35Ljdbuh0OrAsC5VKBYPBENDUIJhSwST6iQEzmUzSeXdgbnlOfJktvg9Xq9XIzc0FENjQMi0tDQaDIeDa+Ph45OfnS38XGQwGaZ+++O8qlUpql/bjtSkpKVi1apVUBku8Ni8vT7pWDLJOp8Pq1asDro2Pj4fZbManT5+CKl33W6EXu3uEYy87wzDSnw8fPkg7p5xOJ8bGxqT3QGJJIYZhsGjRIoyOjkp9vVesWAGXy4WpqSlwHAeHw4GxsTHpJZvX6w1oDhhKMzMz8Hg8tC9AJvz/a1Xd1dWFzMzMiDy+eEDmx8CGktj7br6CDr14wOXBgwcBz5yhMjIyAqfTievXr+PevXsA5pbnpqam8Pr1a6m6ycTEBF68eIHk5GSkpKSA4zi4XC6wLIvBwUGoVCpwHCft5Ovr6wPHcdBoNBgYGMDw8HBYQu/z+TAyMhJQw5xEhliiymg0or+/PyJjEE/rOZ1OqSBGqKlUKuTk5EhvEf5L0NVw+/r60NHRIRXlCzXxmfHn8+7ixz/uunO73fD5fEhLS5O+2Z+v+5kgCH+lbXRBQQHKy8tRUFAQ1schvyY2rYgUhmHw9OlTNDQ0oKmpCVu2bAn5Y4j/l+d7vDboqWjdunUwmUyy2OzS09ODly9f4uTJk9Dr9bI6OqvVagN2EJLIENe3I2V2djagBl8kxyIKOvSpqakBVUUiSa/XY+HChcjLy0NGRga9nCZkHmS5Tk8ICR8KPSEKQ6EnRGEo9IQoDIWeEIWh0BOiMBR6QhSGQk+IwlDoCVGYqN7CFhcXB57nwTCM1MmGEDlhGEbqgiMXUZ0StVoNr9eLhw8fQqfTheXYohL4/X6pN0C4jn8qlc/nw/DwsKxOXcpjFL8pPT0dycnJsNvtkR5KVBJnn5mZGXz58gWzs7PIyMhASkpKUA0Rya8lJCQgNzcXWq020kMB8BtHa+VkenpaqnRLgicIAliWRVNTE3p7e5GZmYnx8XE0NzejqKhIagFF/oxY81Gr1criZxrVM31ycrLUfIAER2yLZLfb8ebNG1gsFpSVlcFut+PGjRtQq9XYsWMHEhMTZXVkmfy5qA49+T2CIGBychLd3d24cuUK9u3bB5vNhqVLl8JsNqOlpQXnz59HUlISNm7cCJ1OR8GPIXTHRmHEmnHt7e24evUq9uzZgyNHjmDZsmVYsGABsrOz0dDQgNLSUhw8eBB37tyRWi+R2EAzvYLwPA+Xy4Xm5mY8fvwYu3btQl1dXUC5MZVKBaPRiKqqKhgMBnR0dGBychIVFRUB15HoRaFXCJ7nMT4+jps3b6K3txfFxcWoqqpCVlbW/92lT0hIQFZWFioqKsAwDO7fvw+e57F//36kp6cjMTExQt8FCQUKvQL4/X5MTU2hs7MT7e3tKC8vh9Vqhclk+tfPEfsA1tbWwmg0oq2tDR6PB1arFYsXL5bNmjMJHv3mYpzYqvvy5cu4e/cuLBYLampqYDQa5/X5Wq0Wu3fvhl6vx+nTp+F2u2Gz2bBy5cowj5yES1Sv05Nf43keExMTaGtrQ39/P0pKSlBdXY0lS5ZArVbP++sIgoDv37+jt7cX3d3dyMnJweHDh5Gfny+LdWcSHLorE6MEQcC3b9/Q09ODnp4ebNiwAZWVlTCZTEEFHoDUr23nzp2oqqrCu3fv0NjYiKGhoaAaJxJ5oJk+Bvn9fng8Hly4cAGdnZ3Yu3cvampqkJ2d/cdfm+d5PHnyBKdOnUJWVhaOHTuGwsLCEIya/C0U+hgjCAKmp6dx5swZPHr0CNu2bUNdXR3S09ND0mhBXOd/+/Ytzp49C5ZlUV9fj02bNtEGnihBoY8hPM9jbGwMdrsdt27dQnFxMWw2G0wmU8jX1zmOw/Pnz9HR0QGXy4VDhw6hsLAwLL3aSGjRe/oY4ff74XQ60dXVhdbWVpSWlqK2thZmszksG2rUajWKiopQX18PvV6PEydOYGBgAB6PJ+SPRUKLZvoYIAgCGIbBuXPncPv2bZSWluLo0aMwGo1hX0/3+Xz4/PkzGhsb8f79e1itVlgsFlrHlzEKfZTjeR5fv37FpUuXMDg4iK1bt6K6uhpGo/GvNUtkWRYOhwOdnZ149uwZtm/fjgMHDiA1NZW27coQPR1HMUEQMDExAbvdjmvXrqGkpATFxcWYnZ2Fw+H4q2OJi4vD5s2b8fHjR7S2tkKj0aCsrAwZGRl0g09maKaPYl6vFxcvXkRbWxs4jsP69esj3h7b7Xbj1atX4DgOx48fh9VqlU2XYzKHZvooNjo6Co1Gg8rKSgiCIIuCFzzPY82aNWBZFoIgYGhoCGvXro3omEggmumjmMfjAcuy4HleVtVWgbnVBJVKhaSkJOh0ukgPh/yAQk+IwtCtVUIUhkJPiMJQ6AlRGAo9IQpDoSdEYSj0hCgMhZ4QhaHQE6IwFHpCFIZCT4jCUOgJURgKPSEKQ6EnRGEo9IQoDIWeEIWh0BOiMP8AC0WP2XCKYS4AAAAASUVORK5CYII=)
physics-General
physics-
A cylindrical container of length L is full to the brim with a liquid which has mass density r. It is placed on a weigh-scale; the scale reading is W. A light ball which would float on the liquid if allowed to do so, of volume V and mass m is pushed gently down and held beneath the surface of the liquid with a rigid rod of negligible volume as shown on the left.
![](data:image/png;base64,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)
What is the reading of the scale when the ball is fully immersed?
A cylindrical container of length L is full to the brim with a liquid which has mass density r. It is placed on a weigh-scale; the scale reading is W. A light ball which would float on the liquid if allowed to do so, of volume V and mass m is pushed gently down and held beneath the surface of the liquid with a rigid rod of negligible volume as shown on the left.
![](data:image/png;base64,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)
What is the reading of the scale when the ball is fully immersed?
physics-General
physics-
A cylindrical container of length L is full to the brim with a liquid which has mass density r. It is placed on a weigh-scale; the scale reading is W. A light ball which would float on the liquid if allowed to do so, of volume V and mass m is pushed gently down and held beneath the surface of the liquid with a rigid rod of negligible volume as shown on the left.
![](data:image/png;base64,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)
What is the mass M of liquid which overflowed while the ball was being pushed into the liquid?
A cylindrical container of length L is full to the brim with a liquid which has mass density r. It is placed on a weigh-scale; the scale reading is W. A light ball which would float on the liquid if allowed to do so, of volume V and mass m is pushed gently down and held beneath the surface of the liquid with a rigid rod of negligible volume as shown on the left.
![](data:image/png;base64,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)
What is the mass M of liquid which overflowed while the ball was being pushed into the liquid?
physics-General
physics-
A cubical sealed vessel with edge L is placed on a cart, which is moving horizontally with an acceleration ‘a’ as shown in figure. The cube is filled with a ideal fluid having density r. The gauge pressure at the centre of the cubical vessel is
![](data:image/png;base64,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)
A cubical sealed vessel with edge L is placed on a cart, which is moving horizontally with an acceleration ‘a’ as shown in figure. The cube is filled with a ideal fluid having density r. The gauge pressure at the centre of the cubical vessel is
![](data:image/png;base64,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)
physics-General
physics-
The figure below shows four situations in which a gray liquid and a black liquid (which we known nothing about) are in a U tube.
![](data:image/png;base64,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)
In which of the following situation(s) of static equilibrium must the density of the gray liquid be greater than the density of the black liquid? (circle all appropriate cases)
The figure below shows four situations in which a gray liquid and a black liquid (which we known nothing about) are in a U tube.
![](data:image/png;base64,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)
In which of the following situation(s) of static equilibrium must the density of the gray liquid be greater than the density of the black liquid? (circle all appropriate cases)
physics-General
physics-
The figure below shows four situations in which a gray liquid and a black liquid (which we known nothing about) are in a U tube.
![](data:image/png;base64,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)
Which of the following situations does not show static equilibrium of liquids.
The figure below shows four situations in which a gray liquid and a black liquid (which we known nothing about) are in a U tube.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATAAAACZCAYAAACon2ZhAAAgAElEQVR4nO29eXgcR53//+45eu7RXJrRfSuOLdlBUuwkNjgJeMk+OSCw2UBYFsIDLCwsPGQ3bBZ4FsI38LCE54FAkifZODiEKziOcRzHUhzj2FYcS5F1H5Ys6z5mNCNp7qtnprt+f/g3vbItyTpGlgbq9Tz9PDqquz79qap3V1VX14chhBBQKBRKGiJZbwMoFAplpVABo1AoaQsVMAqFkrZQAaNQKGkLFTAKhZK2UAGjUChpCxUwCoWStlABo1AoaQsVMAqFkrbIUnGRQCCAaDQKnuevmVYqlUKlUkGr1aYi6yUhCALC4TBCoRCW8uGBRCKBSqWCTqdbdd7RaBShUAjxePyaaRmGgVwuh9FoBMMwq857qSQSCfh8viXZCAAsy8JgMEAiWf7zjxACjuMQCASWVF8YhoFSqURGRsay81ophBDEYjF4vd4l1RcA0Gg00Gg0K/LJlczOzi65LORyOfR6PeRy+arzXSo8z8Pn8yEWiy0pPcuyUKvVUCqVKbclJQJ24sQJtLe3Ix6PQyqVLpiO53mo1WrcdtttuPPOO69bI+U4DqdPn8a7774LqVS6qI2CIEAul6O6uhr33XffqvMeGBjA4cOHEQgEwLLsgumSDcVqteIrX/nKomlTiSAImJmZwb59+xAMBiGTLV4l4vE4srKy8IUvfAF6vX7Z+cXjcbS1teGtt95CIpFYtCyAS3Vm06ZN+NznPrfsvFZKIpHAwMAA9u3bB7Vafc16ynEcbrvtNnz0ox+FWq1eVd48z+Ppp59GJBKBQqFYNG08HofFYsGDDz6I/Pz8VeW7HILBIF588UX4/X4wDLOof+LxOHJycnDPPfegpKQk5bakRMDOnTsHj8eDsrKyRQswEAigt7cXGo0Gd9xxx3UTsHg8js7OToyOjqKmpmbR3h/Hcejo6AAhJCUCNjExge7ubmzatAlZWVkLpuN5Hk6nE3V1dfjiF794XQXM7/fjnXfewa5du5Cdnb1o+v7+fpw4cQKf/vSnVyxgw8PDaGtrw65du67Zs2pubobD4bjuAjY1NYUzZ87gn/7pn65ZFqdOnYJarcbtt9++agETBAF1dXW44447kJOTs2ja8fFxnD59Gh/+8IeRl5d33dpTOBzGm2++iT179sBsNi/6ELLb7WhpaUFNTc3GFbBoNIrt27fj/vvvh9FoXDCd3W7Hn/70J3Act+SueSoghEAQBFRVVeFzn/scrFbrgmmDwSD27t0Ll8uVkrwFQUBhYSEeeOABVFZWLpguFouhra0N9fX119U3STQaDe6//35UVVUtmq62thZjY2Orzq+oqAgPPfQQCgoKFk23d+9e1NfXrzq/5SKVSmGxWPDFL34RGo1m0bRerxeCIKQsb5lMhnvvvRcf+tCHFk3X0NCAiYmJlOa9FJLTAA888ADKy8sXHb62tLRg//79Sx4SLxc6iU+hUNIWKmAUCiVtoQJGoVDSFipgFAolbaECRqFQ0paUvIWkUCh/WxBCcOTIEVit1kUX746OjsLhcKyZHVTAKBTKsuF5Hv/93/+9pOURNTU1a2YHHUJSKJS0hQoYhUJJW6iAUSiUtIUKGIVCSVuogFEolLSFChiFQklbqIBRKJS0hQoYhUJJW6iAUSiUtIUKGIVCSVuogFEolLSFChiFQklbqIBRKJS0hQoYhUJJWy7bTieRSEAQBEgkEjAMg0QiAYlEAolEAp7nxX1/klFQZDIZ4vE4eJ6HIAiIxWKIxWKQSCRiJCC5XA6e50EIQSKRACFETJ88kmGZknkDl7brkMlk4nUYhoFUKkU8HhftS/5dIpEgkUiIaXieF+PVJYOUCoKARCKBeDyORCJxWX7JPGQyGRKJxGV2zo1duJhvkvklfSOXyxGLxZBIJMDzPOLxOGKxmGgfIeQq3wiCINoSj8dF3yynLObzzXz5Je87mU8yzyt9c2VZJO3keR4cx13mm6WWRdK3yfwIIZfZlCyLuX5I+jH592T6pfgmWRbJ9Mn8FiuLuXV0vrJI3neyjiTvLRkbdSn1NGlf0qZkumS5XKsskm0vWRbJmJ5LKYu5vkluiZP0f9I3yfu/0udJPy2VpA9jsdiSymJufjKZbNH9xi4TsPHxcUxMTMBms0GtVuPixYswGAzIyclBf38/MjIyoNPpMDU1BYZhUFlZiaamJkxOTiI/Px9dXV3Q6XTIz8+H3W6Hz+dDTU0NBgcHEY1GIZVK4fP5MD09DafTCY/Hg9nZWeTl5YEQAofDIcbCm5iYQFFRETiOg9PphF6vR05ODrq6umC1WqHT6WC326HVamGz2XDhwgXIZDLccMMNGBgYgFQqhdVqhcvlgtPpRDgchsfjQWtrK2666SYEAgF4vV4UFBSINm3ZsgVjY2MYHR0V/TE4OIjCwkIIggCn04nMzEwYDAb09vbCYDAgKysLg4OD0Ov10Ov1cDgcEAQBH/jAB3Du3Dn09PRgenoa3d3diMViKCgowOTkJHw+H6qrqzE6OopQKASz2Qy73Y5AIIDp6WmEQiG43W7k5uaCZVkMDw/DarVCrVZjdHQUNpsNUqkUDocDCoUCN9xwA9ra2pCRkQGLxQKHwwGZTIb8/HxcvHgRiUQCW7duxeDgIHieR1ZWFtxuNzweD7RaLQKBALq6upCZmYl4PA6n04nc3FwkEgnY7XaUlJQgEong/PnzCIVCcDqd6O3tRVZWFlQqFRwOB/R6PWw2G3p6eqBWq1FcXIzBwUGwLAuLxSKWeTQahcvlQmdnJ+RyOXw+HwKBAAoKCjA7O4vZ2VlUVlbC5XKJdWd0dBQjIyMoKSkBx3FwuVywWq3IyMhAX18fTCYTLBYLhoeHYTAYoNFoYLfbAQBVVVU4d+4cVCoVsrOz4XK5wPM8CgsLMTIyglAohKqqKoyOjiIcDsNoNMLhcMDn82F2dhZerxc+nw+5ubmQyWQYHR1FVlYWWJbF+Pg4HA4HCCFobm6GzWZDcXExOjs7YTQaxWuxLIv8/Hz09fWBYRjceOONGB4eBiEENpsNMzMzCAaDqKysBMdx6O3tRXFxMTiOw/T0NAoKChAOh+F0OlFWVoZgMIjOzk54vV44HA74/X7k5eVBJpNhampKrJudnZ3Q6XQoKCjA0NAQlEolTCYTHA4H4vE4tm/fjnPnzkEmkyEnJwderxehUAjFxcVwOBzwer3YunWrWHY2mw1utxvBYHDJ4dxCoRC6urqg0WiwdetWtLS0QK1Ww2azwel0ghCCoqIiDA4OIhaLobKyEmNjY4jFYigvL4fJZFrw2tLHH3/88eQv7733Ht544w1IJBIIgoA//vGP8Pl8MBqNeOWVV+DxeEAIQV1dHfr7+3HTTTfh6aefRmtrKwoLC9HR0YGuri5kZGTg8OHDePvtt7F582bs378fZ8+ehUwmEwNdVldXo7m5GSdOnIBGo8Hk5CTq6uqgVqtht9vxxhtvwGAwYGRkBMeOHYPH44HBYMCLL76IeDwOQgiOHj2K2dlZmM1m/P73v8fg4CBKS0vx6quvYmhoCDqdDsePH8fZs2chCAK6urrgdruRnZ2NtrY2nDlzBpmZmWhtbcWxY8dQXl6Os2fP4p133gHLsrBardi/fz80Gg2cTqcYTZplWbz88svw+/3IyMjAq6++CrfbDYZhUFdXh/Pnz6O6uhrPPvsszp07B6/Xi6GhIQwPDyMjIwNvvPEGjh8/jhtuuAGHDx9GfX09GIZBT08PGhsbsXv3brS1teHEiRNQqVQIBAI4cOAAGIZBNBrFn//8ZzAMA6/Xi6NHj2J0dBTl5eV47rnn4Ha7odFoUFtbi/HxcWRnZ2P//v3o7OxERUUFXn/9dfT09ECv1+Pdd9/FmTNnkJubizfffBNerxe5ubkYHBzE22+/Db1ej5GREbz55puwWq24ePEiDh8+DL/fjxtvvBGvvfaa2PM+evQofD4fzGYzXnrpJdjtduTm5uK1117D2NgYNBoNjh07hqamJphMJvT392N0dBQajQbvvvsuTp06BZ1Oh5MnT6K2thYFBQV45513UFdXB6lUipycHBw8eBAGgwHDw8N4++23xd7Bb3/7W4TDYSgUChw8eBCBQAA8z+PNN99EX18fbr75Zjz77LOYmJiAwWDAiRMncP78eeTm5uKNN95AQ0MDqqqqUFdXh6amJqjVarS1teHPf/4zXnnlFfzud7/DgQMH8Jvf/Ab79u3Dq6++ipdffhn79u3D/v37ce7cOSQSCVF88/LysHfvXvh8PrAsi9raWkxMTCA3Nxe///3vceHCBZSXl+P1119HX18fMjIy8M4776ChoQFbt27FkSNHxId2R0cHamtroVQq0draijfeeAMZGRloa2vD4cOH4fP5kJmZiXfeeQdSqRR+vx9vvfUWAoEALBYLXnjhBczMzCAzMxMHDx4UH3i1tbXo6OjAzp078eyzz+LixYswGo1obGzEuXPnkJ2djVOnTuHkyZOoqKhAfX096uvrwbIsRkdHceTIEUSj0SX1xGQymdhh2LZtG5577jnY7Xbo9XocO3YM/f39yMvLw8GDB9Ha2orKykrU1tais7MTN9xwA8xm84LXZsgcC2ZnZxEIBKDVaiGTyeB2u6FQKKDX6zE7OwuVSgWpVIpwOAyGYWC1WjExMYGf/OQn2LFjB/Lz88EwDNRqNcLhMKLRKLKzs+H1epFIJKBSqeDxeNDc3IzHHnsMkUgEkUgEer0eDMMgEAhAo9FAIpGIwhmPxxEOh8GyLPR6PaampqDT6UQ7WJaFWq3G7OwsJBIJzGYzPB4PpFIpWJZFLBbD9PQ0Dh48CI7j8KlPfQpFRUVIJBKIRCLQ6XSIxWIIhUKwWq2Ynp7Gvn37EA6H8f3vfx8zMzMwmUxIJBIIh8PQaDRgWRYzMzNQKpXQ6XTweDxQKpWQSqWIRCIghCArKwsTExM4ffo0Tp48iZ07d6KwsBBarRahUAgcx8FmsyEQCCAWi0GlUmF6ehpPPfUUXn/9dQiCgGg0Cp1OJ5ZFMm+v1wudTgdCCEKhEGQymdiDU6vVYFkWkUgEEokEWq0WHo8HgiAgMzMTPp8PhBAolUokEgkEAgGEw2E8+uijeOSRR3DLLbeAEIJgMAitVgtCCAKBAEwmkyhUBw8exC9+8QswDCNG1o5EImJZzMzMQCaTwWg0wuv1QiqVQqFQIBqNwufzobm5GTqdDizLQqvVisMLrVYLjuMQDodhtVoRCoVw+PBhOJ1OPP/883C73TCbzYjFYohEIlCr1VAqlZienoZarYZKpYLP54NKpYJEIkEoFALDMMjKysLk5CRYloVSqQTHcRAEATqdDn6/H7FYTCyL5NCvoaEBDz744JJ6GADw+c9/Ho888ggsFovY69JoNJDJZIhEIpBKpdBqtXC73QAAs9kMn88HAFAqlYjH44hEIsjMzMTXv/513HnnnSguLhbLWKfTIZFIIBQKiWXR19eHU6dO4atf/Sry8/NhNBpBCEE4HIZSqYRarYbL5YJCoYBOp4PP54NcLgfLsgiHw+B5Hnl5eZiYmIBEIoFGoxHLQq/XIxQKIRqNwmq1IhwOiz53u9144IEHcOHCBXGYuxhbtmzB97//fdx2222w2Wyw2+1QKBRinSCEQK/XizqRmZmJYDAInudhMBig1WoXvPZlQ0iz2XyZ2hkMBvFnnU437wVKS0uRkZEBrVZ7WcTrudGMLRaL+HM8HofBYIBOp7vs+sn85/t5LmVlZfP+fW6Y+ytvWKPRQKFQQKvVIi8vb9EuKcMwMJvNovOutDFJsuFemfdcSkpK0NfXB51OB4vFIvpnbvj5ubaEQiHRziujQc+1Y27088zMTPHn0tLSee1YzDcWiwVDQ0NQq9XIzs4W/T63zObmYbPZoFQqxeHitfK7st4YDAa0t7cjJydHnLOZi0ajEX3CsqwogiaTacFym5vfXD/NvYfi4uJ5z51bjknfRCKRa0bjns+GgoICsWyWUhbztal4PC7Wl+T/57s/lUoFq9UKvV6PjIwMlJWVgWGYq643N4+59zq3fRUVFc1r60LtP5FIQKFQzJvffKhUKmRlZYlR2Bcqi2v5Zj7oW0gKhZK2UAGjUChpCxUwCoWStlABo1AoaQsVMAqFkrZQAaNQKGkLFTAKhZK2UAGjUChpCxUwCoWStlABo1AoaQsVMAqFkrZQAaNQKGkLFTAKhZK2UAGjUChpCxUwCoWStlABo1AoaQsVMAqFkrZQAaNQKGkLFTAKhZK2UAGjUChpCxUwCoWStlwdFuavFEIIpqamcP78eTgcjgXTRSIROJ3OJUdcoVAo68fflIC98847aGpqglKpXDBdMvbenj17rqN1FAplJfzNCBgADA0NIRAIXDPdYpGAKRTKxoHOgVEolLSFChiFQklbqIBRKJS0hQoYhUJJW6iAUSiUtIUKGIVCSVuogFEolLSFChiFQklbqIBRKJS0hQoYhUJJW6iAUSiUtIUKGIVCSVuogFEolLSFChiFQklbqIBRKJS0hQoYhUJJW6iAUSiUtIUKGIVCSVuogFEolLSFChiFQklbqIBRKJS0hQoYhUJJW6iAUSiUtIUKGIVCSVuogFEolLTlssjcHR0d6O/vR1FREfR6PVpaWmCxWFBeXo7m5mZYrVZkZGRgZGQEEokEH/zgB1FbW4vOzk6oVCqMj49DEASYTCZ4PB5wHIecnBzMzs4ikUggIyMDbrcbAwMDGBwchN1uh8PhwKZNm0AIweDgIEpLSwEA/f39qKysRDgcxujoKMxmM8rKynDq1CkUFxcjIyMDw8PDMBgMKCwsRFNTE1iWxc0334y2tjawLIvc3FxMTExgcnISHo8HgiAsySnxeBwzMzPo7u5GW1sbKioqkEgkMDo6ivz8fGRmZqKxsRFWqxXFxcXo6OiA2WyG0WjEyMgIBEHAnXfeibq6OjQ1NaG3txcymQz9/f0wm82X+cbj8SAWiyEjIwMulwuzs7MYGRnB9PQ0pqamUF5eDpVKhc7OThQUFECv1+P8+fMoLi6GVCrF4OAg1Go1tm/fjrfffhs2mw3Z2dkYGRkBy7IoLy9HW1sb4vE4PvShD6GjowOJRAIFBQWYmZmBw+GAzWbD5OQkfve736GxsRGCIIDjOGg0GgiCgGg0Cq1WC0EQ0NraipmZGVy8eBHHjh1DaWkp1Go1RkZGYDKZUFhYiLNnz0Kn02Hr1q3o6OiASqVCdnY2xsbG4HQ6YbfbMTAwAIlEAqPRiHA4jFgsBpPJhGAwiEgkAqvVimAwiM7OTvA8j/b2dnR1deGmm25CKBTC+Pi4WBbvv/8+srOzkZubi+7ublitVuj1egwODoJhGHzkIx9BbW0tdDodioqKMDExgXg8ji1btqCnpwc+nw8f/vCH0dvbC7/fj5ycHAwPDy+5ETEMg6GhIRw6dAg5OTnYtm0bTp48iezsbFgsFoyMjEClUmHTpk14//33IZFIsH37dnR3d4MQgoKCAjgcDkxPT2PTpk0YGhrC6dOnUVRUhFgshnA4DKPRCI7jEAwGYTabEYvFMDw8jPHxcfT19aG7uxs33ngjpFIpRkdHYbVaUVRUhNOnT8NkMuHGG29EV1cXtFotrFYrRkZGEI1Gcffdd6O2thZyuRylpaWYmZmBz+dDRUUFhoeH4XK5sHv3boyMjMDlcqGgoACBQAAzMzNLbk8zMzM4fvw4PB4Pbr/9dhw7dgwGgwF5eXmiZlRUVKCjowORSAQf/OAH0dfXh2g0iqqqKuTm5i547csEzOl0orW1FRKJBDk5OWhpaUFJSQkyMzPR1taGwsJClJWVoaOjQyyE5uZm9PT0oL+/HwzDgBAChUIBjuPEShkKhcDzPFiWhVwuR2ZmJqanpzE8PIzz589Dr9cjHo+jtbUVGo0GPM+jpaVFrNCtra0oKCiAyWRCc3MzEokESktL0dbWhtzcXJjNZrS1tUGtVmPz5s3o6OiAQqGARqNBV1cXhoaGMD09DZ7nl+RwqVSKRCKByclJNDc3Q6fTgWEYtLW1IZFIgGVZtLS0oLS0FEajEW1tbcjLy8OmTZvQ3t4Onuexc+dOtLS0oKmpCcPDw+jq6oJKpYJKpUI0GkUsFoPRaEQkEhGvKQgCIpEIXC4XRkZGcP78eajVavFhwjAMMjMz0draCgDQarVoa2uDXq/H5s2b0dLSgqKiImg0GrS3t0Or1SIvLw8dHR3gOA41NTXo7u4Gx3HQ6XTo6urC8PAwSktLMTExgb1790KlUgGAaBMAxGIxqFQq8DyPSCSCG264AX6/H+fOnYMgCMjLy0NbWxsKCgpE+zIzM1FUVISOjg5otVpRhMfGxuDz+XD27FnwPA+lUgme5xGPx6FSqRCLxURB5zgOXq8XVVVVGB0dxblz52A2mxEKhdDa2gpBECCXy9HS0oIbb7wRarUabW1tKCkpQVFREdrb2wEAu3btEuuT0WhEd3c3YrEYCgoK0NPTA6fTiZ07d6Kvrw8ulwsA0NXVtaS6kqwvoVAI3d3d8Hq9KCwsRHNzM8rKyrBt2zZ0dHRAr9cjPz8f7e3tkEqlqKioQHd3NxKJBPR6Pbq6ujA+Po5wOIy+vj60tbVBq9UCAKLRqOj/aDQqthe/34/MzExMTk5ifHwcLMsiIyND9IHVakVzczPy8/ORk5OD9vZ2mEwmsCyL9vZ2RCIR7NmzB62trVAoFDCZTOjr64PT6UReXh76+/sxMDCA6upqDAwMYGBgAFKpFC6XC1NTU0sWMAC4ePEi5HI5duzYgdbWVlgsFuh0OnR2dgIAioqK0NXVBb/fj5qaGvFhsnnz5kWvyxBCSPKXUCgEjuOgUCggkUgQDochk8mgUCgQDochl8vBMAzi8TgYhoFWq4XH4xGfXksRCL1ej0984hN45plnIAgC4vE4FAoFGIYBx3FgWRYMw4iFJggCYrEYpFIplEol/H4/lEqlaIdUKgXLsgiFQmAYBhqNBuFwGBKJBDKZDPF4HGNjY/j85z+Pnp4exOPxa9pYVlaGH/7wh7j//vsRDodFO+LxOFiWhUwmQzAYhFwuv8w3EokEsVgMAKDT6eDz+fD888/j2WefhcPhuGa+EokEFosFZ8+ehclkgiAIUCqVYlmwLAupVIpIJAKlUglCCGKxGCQSCTQaDXw+n5gmWUZJ+wgh0Gq1iEajIIRAJpNBEAR4vV689NJLeOqpp+D1eq9po0qlwt13342XX35Z9A1wqdcqk8kgl8sRCoUgkUigUqkQiUQglUrFh8L09DR++tOf4o9//CPC4fA185NKpdi9ezf+8Ic/QC6XQ61Wi4J3ZVmwLItIJHJVWej1eni9XkilUsjlciQSCRBCoFQqEYlEwPM8dDodOI4Dz/Ow2+348Y9/jFdeeeWa9gGARqPBd7/7XXz5y18WbfT7/QuWBQCo1WpEo1EAgFwuB8/zCIVC6OrqwsMPP7yk+gIAhYWFePLJJ3HHHXdAo9GIdSLpj0AgAJlMJt5rsizi8TgEQYDBYIDX6wXDMOJDNJFIQKlUIhaLIR6PQ6fTiT/zPI/GxkZ8/OMfxxzpWJS7774b/+///T+UlJSI7UImk0Emk11VFoIgQKvVguM4CIIAlUoFhUKx4LUv64FpNBpoNBrx92TlBAClUjnvBTIzM5GTk4OBgYElCVgoFMJ7770HjuNgNBohkfzfNNzcvOf+fGV+8zHXvrk3nOx2d3V1LbkHluw9qNVqqNXqa+Y39+e5dpvNZhQXF1/mx8UQBAHBYBBnzpzBJz7xCRiNRvF/c6+xkE0Wi+Wats71TbKynz59WmxM10Kn02HTpk1X1ZWF8ruy3hBCYLPZIJVKl5Qfz/NwuVy4cOEC7rjjjmvmN9dPV5bFtc5VKBQghKC3t3dZPbBkOc+tm0spiyt9o1arkZubC5lMduVpCxIIBPDee+/hE5/4BORy+VX/n1veC7Vhk8k079/n+jJ5HYfDgdOnTy9ZvBiGQX5+PsrLy6HX6wEsvSyWQkom8W02mzjcuBbJCvmHP/wBwWAwFdkvyszMDA4cOLBk8QIuCdhCQrlcTCbTghVnPmKxGF588UV4PJ6U5H+tvC5evIjGxkZwHLekczQaDcrLy1ecp1QqhdVqvezBdS0mJibw8ssvL7nRrIZwOIyuri709fUt+Ryz2ZyS+iKRSJCZmblkcQcAr9eL119/HaOjo0gkEqu24VpMTU3h7bffXnL65JSRTqdbE3tSImBZWVlLFjDgUiV55plnYLfb19TpgiBgfHwcR44cWdZ5FotlwSfoctHr9UvugQGXBL65uRm1tbWYnZ1NiQ0LMTs7i5dffhmxWGzJ4qDX61FQULDiPKVS6bJ6YMClXsbJkydx/PjxJQvtSunv78frr7++rHppsVhSJmDJOSqGYZZ0jiAImJ2dxc9+9jP4/f5V27AYHo8HjY2N6O/vX/I5RqMRWVlZS76f5ZISAauoqBAnHJcCz/MYHh7GE088geHh4WVNBi6H/v5+PP/88xgfH1/yOQqFAlarNWVPjLy8PBiNxiUXICEE0WgUzzzzDBoaGtasl+p2u1FfX48jR44sy/8mkwlWq3XF+crlclRUVCy7kTqdTjzxxBMYHBxcMxGz2+04ePAgzp07t6zzioqKkJGRkRIbZDIZNm/evODwfD4ikQgOHTqEAwcOrNlDj+M4nD17Fi+88MKy/G8ymZCTk7MmNgEpErAdO3YgOzt7ycMCQggSiQTeeustPPfccxgYGEi5iA0ODuKll17CW2+9JU7mLoXc3FxUVFQsax5iMaxWK7Zt2waDwbCs8/r7+/Hzn/8c7777LkKhUEpsSeL1enHq1Cn87Gc/g8PhWHLvS6lUori4eNHX2tdCJpOhpKQE27ZtW1bPlOM4NDU14Uc/+hEGBgZSLmLT09P44x//iP3798Ptdi/5PJVKhZqamgXndVbCfffdt6zrCYKA6elpPP300zh27BhmZmZSZgtwaarh7NmzePbZZ2dDvAcAABmzSURBVJc1tAaATZs2oaysLKX2XAZJARzHka997WvEYDAQAMs6srOzyb//+7+Trq4uEovFVm0Lz/Okr6+PfPvb3yYFBQXLtueBBx4g58+fT4FX/o/a2lpSVVW1bFtUKhXZs2cPOXLkCPF6vSmxxeVykf3795Ndu3YRqVS6LHuKi4vJr3/9ayIIwqpsEASBPPfccyQ3N3fZPlGr1eRzn/scaWxsJIFAYNX+4HmeTExMkF/+8pdk06ZNRCKRLMuebdu2kbNnz67aJ3O5cOEC+eAHP7js8gFAqquryb59+4jdbk+JTaFQiJw4cYLcfffdRKfTLcsWrVZLnnrqqZTV3flIiYARQsjRo0fJ1q1bl+1wAMRsNpOHHnqIvP/++8ThcJB4PL5s5ycSCeLxeEhbWxv57Gc/S6xW67Lt0Ol05PnnnyehUChVbiGEEDI+Pk6+9KUvEZlMtmyb5HI5qa6uJq+88goZGhoiwWCQ8Dy/rPwFQSDRaJQMDw+T//3f/yVbt25ddkOVSCQpFfe+vj5SU1OzokaqUCjIPffcQ+rq6sj4+DiJRCLLzp/neeL3+0lvby/5wQ9+QLKzswnDMMuyg2EY8uijj5LJycmU+CRJIpEg3/rWt4jRaFxRe9q0aRP5n//5H9LX10c8Hs+y25IgCITjODI5OUnefPNNcvPNNxOVSrVsO7Zu3Urq6+tT6psrSZmATU5OkocffpjI5fIVOV0qlZKioiLy7W9/m/T09JDZ2VkSCoVILBabt8EKgkDi8TiJRCLE5/OR0dFR8txzz5EtW7YQlmVXZMP27dtJQ0NDqlxyma2//vWvSVZW1orsSorr3XffTY4cOULsdjsJBAIkGo2SRCIxb548zxOO40gwGCQul4ucOXOG3H///SvqJQOXnqa/+tWvSDQaTZlPvvGNbxCTybRin+Tm5pIvfOEL5MyZM2J94ThuQYFPJBIkGo0Sv99PxsfHyauvvkp27dq1ogcLwzBEr9eTxsbGlIwcruQvf/kL2b59+7JFNXloNBqya9cu8uKLLxK73U58Ph+JRCIkkUjMK2g8z5NYLEZCoRCZmZkh7e3t5Otf/zoxmUwrskEikZBvf/vbZGJiIuW+mUvKBEwQBPLnP/95xb2wZKWQSqVEq9WSBx98kOzdu5e0tLTM2wWNRqOkt7eX7N+/n/zbv/0bKS4uJlKpdMUFDoA88cQTxOl0psollzE8PEz+9V//dcW2JSuFTCYjNTU15PHHHyfHjh0j4+PjVzVYnueJ3W4nJ06cID/96U/J7bffThQKxbJ7XXOPW2+9lZw5cyalPunu7iYf/vCHV1VfJBIJ0Wq15CMf+Qj51a9+Rc6cOUNmZmbm9cnQ0BA5cuQIeeyxx0hVVRWRy+Urri8sy5J/+Id/WLMGGg6Hyfe+9z2i1WpX5R+WZUlhYSF59NFHyaFDh8jg4CDhOO6q/GZnZ0lDQwN5+umnycc//nGi1+tXVV8MBgM5e/bsgg/YVHHZSvzV4na78etf/xo//OEPVzXxzDCM+NmNQqGAUqmEwWCA0WgEy7Jwu91wu92IRCLgOA7RaFT8JGel+W3fvh0vvvgiNm/enLIJ/LnE43E0NDTgm9/8Jjo6OlZ1LZZloVaroVAoxE+mzGYzMjIyEAwGMTs7C7/fj1gsBo7jEIlElrxQdT60Wi1+8Ytf4B//8R9T9rYNuDQx/5vf/AY/+9nPMDg4uOLrJFe5z/WJXq+HyWSCWq2Gz+fDzMyM+M1lsr4s5+XOXCQSCWw2Gw4cOICampplrfNbKoQQdHd34wc/+AEOHTq0qmtJpVJoNBoolUqwLAuNRgOj0Qij0YhYLCZ+/8hxnNieotHoil+sSaVSPPLII/iP//gPZGVlrcr2a5JKNeR5nnR2dpJ77713VT2NKw+GYYhMJiNKpZKo1epVPTmvPCQSCTEYDOTAgQPE5/Ol0h1XMTs7S1544QWiVqtTZn/yHliWJWq1migUihXNKy12fP7znycDAwPLnntbCuPj4+Rb3/rWiuZYFqsvUqmUKBQKolKpCMuyq+pNXHlkZmaSH/3oRyQQCKR08v5KQqEQee2110hZWVlKyzNZX1QqFVEqlaseucw9lEolufXWW8mFCxfm7emlmpQKGCGEBAIB8pe//IXcfPPNKa00a3Xo9XryzW9+k0xPT69JA51LIpEgY2Nj5Ctf+QrRarUpFbG1OORyOdm6dStpbGwk4XB4TXwSj8dJQ0MDueeee1Y8f3o9D51OR+655x4yPDy85vWFkEtzyz/5yU+I1Wrd8PVFKpWSgoIC8tprr63oxcpKSLmAEUKI1+slr776KqmuriYKhWLdHbtYZfzoRz9Kent7STweXwtXXAXHceTixYvk4YcfJmazecOKvFwuJ0VFReT5558nfr9/TX0SDAZJfX09ueuuuwjLshu2oapUKnLrrbeSurq6NfXHXJIPvf/6r/8iNpst5b3rVB0SiYTk5uaS//zP/yShUGhNe6ZzWRMBI4SQSCRCDh06RD7wgQ8QtVq97g6eezAMQwwGA9mzZw85derUWrlgQXieJ6Ojo+Jyj40mYgqFgpSXl5Of/OQnJBgMXpfKGA6HSWtrK9m9ezfRaDQbTsQ0Gg3Zvn07+dOf/nTdehdJeJ4nMzMz5LHHHiN5eXkbrqcqk8lIXl4e+cY3vkHGxsauq2/WTMCSHD16lOzcuZPodLoN8fRgGIbodDry4IMPkpaWlrW+/UUZGxsjX/3qV0lWVtaKl36k+mBZllRWVpK9e/euyfKAxYjFYqSvr4/s2bOHmEymFS1vWItDpVKRD33oQ6Suru669dSvRBAEEolEyA9+8ANSUlJClErlhhB5qVRK8vLyyI9+9CPicrmuu1/WXMAEQSADAwPkkUceWdHi0rVooF/72tfIxYsXr1s3dzECgQD53e9+R3bs2LHuvgFAduzYQV577bXrMr8zH4IgEI/HQ3784x+T0tLSdfcHAHLvvfeSlpaWdfPJXBKJBKmrqyN33XXXhpieycnJIS+88MKaTzMsxJoLGCGXnqyzs7OktraW3H333evSBWYYhtxyyy3kpZdeIpOTk9e9d7EQPM+TYDBIenp6yHe+8511m6zNysoi3/jGN0hra2vKv0RYiU98Ph957733yD//8z+veEX6ag65XE5KS0vJk08+SUZGRlK2gDcVhMNhMjIyQn7+85+TioqKdWlLarWafOYznyFnzpwhPp9v3cQ9pevAFoMQglAohImJCbz//vs4cOAAGhsb4fV6l7VX13JRKpUoLCzEww8/jL//+79HUVERdDrdsrZzuR7EYjG43W709vbi0KFDOHbsGMbHxxGJRNYsT4lEgoyMDNx11134whe+gIqKClgsliVvJrfWRCIRTE1Nob29Ha+++irq6+vhdDrXtL7IZDLk5+fjvvvuw2c+8xmUlpbCYDCsydrA1cDzPDweDwYGBnDs2DEcPnwYfX19a1pfAMBgMKCmpgZf/epXUV1djezsbHGH5PXguglYEkEQEA6HMTQ0hLa2Npw8eRLNzc2YnJyEz+dLyaZ1CoUCWVlZ2LRpE2655Rbs3LkTNTU1MJlMG064riSRSMBut6Onpwdnz55FfX09Ll68iJmZmSVth30tkoE0ioqKUFVVhdtuuw07d+5EUVHRmizIXC2EEITDYUxOTqKzsxP19fU4c+aMuLd+KvaTk0gkyMrKQmlpKbZv3y7Wl4KCgmVtvLgexONxuN1u9PX1oampCSdOnBD39k+VmCX389+2bZtYX7Zs2bKuwpXkugvYXBKJBEZGRtDV1YWOjg4MDAxgfHwcdrtdjE6TDA4y36rg5ApsrVYLrVYLvV6PzMxMlJWV4eabb0Z1dTUKCwtTutXJ9WR6ehr9/f1oaWlBb28vxsbGMDk5CbfbjXA4jGg0Co7jFmzEMpkMarUaOp0OOp0ORqMR+fn52Lp1K3bs2IFNmzYtewvj9YQQArvdjq6uLrS3t6O/vx/j4+OYnJyE1+sVV5DHYrEFe2nJFftJn5jNZhQVFaG6uhrbt29HSUkJLBZL2vhkLsFgEBcvXkRLSwt6enowMjKCiYkJUcyS/knuQ38lUqkUKpUKWq0WOp0OGRkZyM3NxZYtW7Bjxw5UVFQgNzd3wS3N14N1FbC58DwPv9+PkZER9Pb2YmBgAFNTU2KosWg0Cp7nIZFIwDAMGIaBTCaD1WpFaWkpysvLUVRUhOzsbBQWFkKj0az70yFVkP9/k0OHw4HBwUF0d3djcnISLpcL09PT8Pv9oogxDCP6SKvVoqioCOXl5SgtLUVOTg6KiopgMpnm3T89nSCEwO/3Y3JyEgMDA+ju7obT6YTT6RQ/G0qKWNIfyR1PS0pKUFZWhtLSUrHnpdFoNnzvfDlwHCdG/kpGPHI6nXC5XPD5fIjH4yCEiG0pGYQlLy8PZWVlKC8vR25uLgoLC2G1WjfMtMKVbBgBW4xEIiH2OJLRTJIRZpKRkv5WScZwDAaDoqjP9c1fU6NcKoIgIBQKIRqNitGp5vpkow8L1xJCCDiOEwV+bntSKBRpV1/SQsAoFAplPv52H0UUCiXtoQJGoVDSFipgFAolbaECRqFQ0hYqYBQKJW2hAkahUNIWKmAUCiVtoQJGoVDSlg37wdfs7CxcLhesVqv4gXM8Hoder0deXh6mpqbAsiyMRiN0Ot16m3vd4XkeTqcTbrcbJSUlcDqdmJ6eBgDk5ubCZDIhEonAbrcjFAqJu3IwDAOXywW9Xg+bzbbOd7F6/H4/RkdHUVBQgEQigYmJCUQiERgMBmRlZUGpVMLhcGBmZgaEEGRnZ8NisSAWi8Fut8Pv94NlWRQUFECpVMJut4uf1KQ7PM8jFArhwoUL2Lp1K9xuN6anpxGLxaDX65Gbm4tEIoGhoSHEYjEoFArYbDbYbDZxRX4gEMDIyAgikQgsFgs0Gg1mZmY2zOd6G64HxvM8HA4H6uvrIZfLoVarEY/HcerUKXz3u99FX18fBEGA1WpFc3MzTp48CZ/Pt95mX1cEQUBnZye6u7ths9kgk8kQi8Xw1FNP4ZlnnoHT6YRUKoVUKsXAwAAee+wx/OUvf0E8HodCoYDP58Px48dXFcpsIzA5OYn6+nrxo3WZTIbTp0/jySefxMmTJ8XPhgRBwC9/+Us888wzcDgcom8cDge+853v4ODBg4hEIuJnackdUtIZnucxPT2N2tpaZGZmQiqVQiaT4fDhw3jyySfR2dkp+qG9vR1PPPEE9u/fL36SlkQqleLEiRN45ZVXYLfboVarEQqFsHfvXni93hWHXksVG0rABEGAz+fDH/7wB5jNZmRlZUGlUiEjIwNmsxkdHR3Q6XRgWRZ6vR6bN2/GxYsX8d57763pHlEbjeS2Mrm5uTCbzWBZFjabDW63Gy6XC3K5HCzLQqfTIS8vDz09PQAuxZNUKpUoKCiATCZDbW1t2oq/y+VCQ0MDIpEIioqKIJfLxXoyPj4Onueh0WjAsixycnLg9XoxNTUl+kaj0SAnJwcXLlxALBYDy7KiH3NycvDGG29gYmJi3RvoSpmYmMDRo0dhsVhQWFgIuVwOi8UCQgjGxsbEuKs6nQ47duzA9PQ0RkZGEIvFLvtWNNmByM/PR0lJCbRaLcrKyhCLxfDmm2/C6/Wu411uMAELh8Nobm5GU1MTNm/eDK1WC+DStjDJvYfm7kFUXl6OsrIy/OlPf4Ldbl9P068LyV0p9u3bh5ycHOTl5YmVLbmbgFKpFLv/EokELMte5j8AsFqt2Lx5M9rb29HQ0JB2jZQQgqamJrS2tmLLli1QqVTi/5INc+5uGxKJBEql8jLfMAwDuVwuBk5O+lGn06GsrAyCIODQoUMp2YPtehOJRPD++++joaEBO3bsEMs9WR+USuVlu0ts2bIFu3fvxuTkJC5cuHDZVjuRSARutxs1NTXIzs4GwzDQ6/V46KGHsH//flH01osNJWAzMzPYv38/ampqlrR9R3L3TAA4ceLEWpu37giCIO73ZLFYVhUlOysrC5WVlXj55ZdTsing9SQSieDIkSPgeR7FxcUpv77FYsHOnTvx4osvIhQKpWSTzeuJ3W5HU1MT8vLyoNfrr5leIpHgYx/7GCQSCd59912Ew2EAlx4UFy5cgEqlEsULuNTucnJyoNVqcerUKXg8njW9n0VtX7ec58HtdqOxsRGVlZVL3q/KZDLBZrPh+PHja2zd+hOPx/H222/DZDLBYDCs6lp6vR6lpaU4e/YsfD5fWvXChoaG4HA4YLFY1mRzPbVajeLiYtjtdvT29q5rD2MlnD9/HsPDw6ioqFjyOVVVVSgvL0dHRwfOnz8P4JKA1dbWYvfu3Ve91GAYBjfddBPOnTsHh8ORUvuXw4YRMI7jYLfbMTs7i7y8vCXviKnRaGAymXDu3DlEo9G0e1ouB57n0dHRAY1Gs+qGq1QqkZOTA47j0NLSAo7jUmTl2jM2NgaO49Zsp12GYcCyLLKystDQ0CD2SNKFoaEhhEIhZGZmLvkcrVaL22+/HfF4HLW1tSCEIBKJYGBgADk5OZcN04FLPsrLyxN3UF4vNoyARaNRjI+PgxACnU635NezMpkMOp0O4XAY09PTadWTWC6CIGBsbEzchG41JDc/lMvlGB8fT6th5MTEBBKJxFWNKpVIJBJoNBpMTEyk3TzY9PQ0OI5b1i6qDMPglltuQXFxMU6cOIH+/n4cP34cW7ZsgcFgmLc9ajQa+P1+BAKBVJq/LDaMgBFCRPFZbi+KXAoP91ctXkkEQRDvN1Wkk3gB/1fea93bJoSA5/m069WvtI7k5eXh1ltvRTAYxLFjx3D06FF85CMfWXQe7XqUw2JsGAFTKBTIzs4W9zpfqhjFYjH4fD6oVCoYjcZ1X1i3ljAMg6ysLMRisXlFZzkVied5MQBGTk5OWm0lbLPZwDDMvEO7VDWoZIwGm82WdvEDktG3FpoWWMg/arUa1dXVsFgs2L9/P8LhMAoKChbsyfl8PqjVamg0mpTZvlw2lIDl5uYiIyPjqqFgLBZDMBiEIAhXiVtyJfYNN9wAnU73V73fuVQqxebNm8Fx3GWVkxCCeDyOcDiMUCiEWCwGQogYSyAejyMQCFy2Vi4cDmNwcBAsy2LLli1gWXY9bmlF5OfnQ6FQXDV0Se6FH4lEEIlExOg78XgckUjkMt8kBZzjOAQCgcseCPF4HB6PB263GzfddNOGDDe3GHl5edBqtVet8YvH44hGo4hEIgiHw/MKWUlJCW6//XYMDg5i9+7dC4ZOS76htFqtsFqta3Yv12LDtHaJRAKz2YyqqioMDQ2J8w6EEAQCAYyOjiInJwfDw8OXhYVKRlq57777/qp7X8Cl+b477rgD0WgUwWBQ9AHP85idnRUbodfrFRvtwMAALBYLpqamxMYLAB6PBx0dHaiqqkJRUVFahRErLi6GzWaDx+O57A0hx3EYHh4WvzZIBq5Ifj7DMAzcbjfi8ThisRjGxsag1+vh9XoRiUTEB2MoFEJ3dzeMRiNuueWWtBOwyspK5OfnY3R09DKRCgaD8Pv9UCgUGB0dnfftamZmJv7u7/4OlZWVuPfeexe8d57n0dLSgurq6nX97GpD1drMzEx88pOfxOHDh/HJT34SOp0OPM9DrVbjy1/+Mr785S8DuPSkFQQBDMNgcnIShBDcdddd62z92iOXy7Fr1y7o9XpMTk4iEolArVZDEATodDr89re/BQBx+EAIwZ133ok77rgDwCUBTCQSkMlkmJ6eht1ux2c+85m0Gj4Cl4ZIu3fvRk9PD8bHx1FaWioGwP3Sl76EL37xi2AYBvF4HIlEAkqlEi+99BKA//MNwzDYtm2buPxGoVAgkUiAZVl4PB6cP38en/rUp6DX69OuV19aWoqqqiqcOnUKHMdBqVSC53nwPI9HH30UhBBIJBKEw+GrhocSiQSVlZV47rnnkJubO+/1eZ4Xwx1+9KMfXdce2IYSMJ1Ohz179ohvQbRaLdRqNYxG42XrnpKx7Pr7+zE8PIyHHnoIhYWF62j59UMul+N73/seXnvtNRQXF2P79u2Qy+VXfZid7I0mv2ZIIpFIEAgExO7/fffdl3YNFAA+9rGPIRKJoK6uDl//+tfBMAyMRuNV6RiGWdA3Vy5FSYre4OAgXC4XnnzyybQaWidRKpW48847MTMzg6NHj+KTn/wkpFIpTCbTZekWGrGoVCqUlJQseH2/348XXngB//Iv/4Ibb7xxXecIpY8//vjj65b7FSTX32zbtg1NTU3Q6/VQq9VgWVYUreThcrnQ2NiIkpIS7N69e0NFC15Lkg1Vr9djZGREjKA8N+DvYkcoFEJnZydmZmbw6U9/GhaLJS2H3smXPk6nE9FoFFarFVKpdMl+mO+Ix+O4ePEiOjo68NnPfhYFBQVpKe4Mw0CtVqOwsBCdnZ1QKBQwGo2QyWRX3fNC5y90336/H+3t7ZBKpfj4xz8Og8Gwrj7akHEhBUHA1NQUCCEwm83zjsM9Hg9CoRC0Wu2qV6WnI4FAAIFAAFKpFFardckixHEcXC4XlEolzGZzWjbQJMmXO36/H1lZWVAoFKsS40QiIe7kYTab0+7t45VwHAe3241YLIa8vLyUTBVEo1E4nU6o1eoNUX82pIAlSZq20FuQhf73t8LcoluqH/5a/SYIwqobE/XNtUkuU1lv4UqyoQWMQqFQFmNjyCiFQqGsACpgFAolbaECRqFQ0hYqYBQKJW2hAkahUNIWKmAUCiVtoQJGoVDSFipgFAolbaECRqFQ0hYqYBQKJW2hAkahUNIWKmAUCiVt+f8Ae+bHES40qkAAAAAASUVORK5CYII=)
Which of the following situations does not show static equilibrium of liquids.
physics-General
physics-
An ideal monoatomic gas is carried around the cycle ABCDA as shown in the figure. The efficiency of the gas cycle is :
![](data:image/png;base64,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)
An ideal monoatomic gas is carried around the cycle ABCDA as shown in the figure. The efficiency of the gas cycle is :
![](data:image/png;base64,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)
physics-General