Hi !
Ich möchte die Injektivität einer Funktion nachweisen indem ich die Umkehrfunktion bilde.
Für Funktionen mit einem Argument verstehe ich das verfahren, für eine mit zwei leider nicht.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnkAAADrCAYAAAAVOIDAAAAgAElEQVR4Ae2dB9QURfa314hgBHMCxMy6YhYjijlnwRUxrmJa1oA5rIgJzLCCioorYs55VTCugbCIYkZFBTFgBrP1nafPd+vf7zh5ume6e351zpx535me7qqnuqt/feveW39yKiIgAiIgAiIgAiIgApkj8KfMtUgNEgEREAEREAEREAERcBJ5OglEQAREQAREQAREIIMEJPIy2KlqkgiIgAiIgAiIgAhI5OkcEAEREAEREAEREIEMEpDIy2CnqkkiIAIiIAIiIAIiIJGnc0AEREAEREAEREAEMkhAIi+DnaomiYAIiIAIiIAIiIBEns4BERABERABERABEcggAYm8DHaqmiQCIiACIiACIiACEnk6B0RABERABERABEQggwQk8jLYqWqSCIiACIiACIiACEjk6RwQAREQAREQAREQgQwSkMjLYKeqSSIgAiIgAiIgAiIgkadzQAREQAREQAREQAQySEAiL4OdqiaJgAiIgAiIgAiIgESezgEREAEREAEREAERyCABibwMdqqaJAIiIAIiIAIiIAISeToHREAEREAEREAERCCDBCTyMtipapIIiIAIiIAIiIAISOTpHBABERABERABERCBDBKQyMtgp6pJIiACIiACIiACIiCRp3NABERABERABERABDJIQCIvg52qJomACIiACIiACIiARJ7OAREQAREQAREQARHIIAGJvAx2qpokAiIgAiIgAiIgAhJ5OgdEQAREQAREQAREIIMEJPIy2KlqkgiIgAiIgAiIgAhI5OkcEAEREAEREAEREIEMEpDIy2CnqkkiIAIiIAIiIAIiIJGnc0AEREAEREAEREAEMkhAIi+DnaompYfAl19+6YYMGeIeeOCB9FRaNRUBEUgdgV9++cXdd9997qqrrnKzZ89OXf1V4eoISORVx02/qoDAb7/95m644Qa31lpruVVXXbXFq3Pnzu7UU091n3/+ufv555/Lfv36668V1CC5mw4bNsy1atXKLbLIIm6VVVbxbNZZZ51gMP7xxx/LZlKK3++//55cEKqZCERE4MUXX3RbbbWVv5bCY87ee+/tJkyYUNE1hTjKQpkyZYpbbLHF3Hzzzec6derk+ay22mru73//u/v4448r4lJsvMnK+JyFfpfIy0IvJrwNCLhlllnG/elPfyr4Qugw+JT7YmC6/fbbE97y0tUbNGhQQSZzzjln2TxKcVtwwQXdIYcc4l5//XX3ww8/lK6YthCBlBLYfffdC15TjEHzzjtvRdfV4osv7s444wyXduHy5ptvOsaUQuNwpWNwsTFn0003dY8++qj7+uuvU3oWZafaEnnZ6cvEtoQnvssvv9xtt912LV5bbrmlQ3wUGnRKfc5Akvby7rvvBuIrzKZr165VMynFbP7553f9+vVLOzbVXwQKEkBc7Ljjji3GGq6vDh06VH1dzTHHHKkXLEzRXnjhhS24bL311q5t27ZVcyk13tAP06dPL9hX+iJ+AhJ58TPWEYoQuPnmmwPRccopp7izzz7bnXbaacH/CJHc10knneTWX399PyBtsMEGRfac3q++/fZbd+mll/6h/bk8yv3/yCOPdMsuu6znttBCC6UXjmouAlUSeP7554NrinHkrLPOcmeeeWbRa2z//ff31wxi5quvvqryyMn+2V133VWUQ7njjG237rrrtuD20ksvJRtAxmsnkZfxDk5L82bNmuVGjBjh3n///aJV7tmzZzCAMO1w1FFHFd1WX/4fgfPOO88PvBJ5/8dFfzUngQcffNA9/fTTRRt/yy23+Gtm7bXXdoxRKqUJjB07NpgONysfPpIqjSMgkdc49jry/yeAOR+HaHxlcJjOVwhAOOecc1ybNm2CgZcphi+++CLfpk37GQEuN910U2AR/fTTTz0Hpst5yrZBF6GsIgLNSIBrAT9YHnTatWvnPvnkk7wYHnrooRbW78cff9wpcKklKsQbARvjx49v8cUjjzzi5pprrmC8WXPNNUs+uLf4sf6JnIBEXuRItcNKCYStTETb5ivPPPOMHzjmnntux5SLSksCw4cP9yL4zjvv9F++8MILgYBG5DH4Tps2zX+nP9JHYMaMGY4XgkWlMgKvvvpqEM1uDzwfffTRH3bw008/uY4dOwYiBV+8bbbZRg+UOZRefvnlIDoXjj169PDfEpyy0koreXbXXXedxLGn05g/JPIaw11HDRE49thjg0EBAcKgkFu4mR1++OHBNgwqffv2TX2kW24ba/3/u+++CywT8EEE33PPPcEusT4cffTRnh1/cxNTSScBphlNoBx//PEuK+k96tUbTNEaP8aUfFOwuI1YFOqGG27o3nvvvXpVLzXH2WOPPTzHv/71r77eI0eO9A/j+Oa99dZb/jv90RgCEnmN4a6j/n8CPFmvscYawYAxzzzz5OUyceJEP6AwTfvOO+/k3a5ZP/z+++8DR3KsDtzAiCS0iDaeuO2GxRTVG2+80ayYMtFuBLyJFN6PO+64wJc1E42LuRG4fCBIjF8+nzyuJfJVsg3j0WWXXRZzrdK1e1xCeIC0QC7ye/73v/8NGjFz5ky3+uqre74XXXRRuhqX0dpK5GW0Y9PSLHzIbNDlqTmf38uee+7ptyFxcqOztU+dOjWIzLviiivcZ5991nDUF198cXBDgiN+jddff31QJ6aiunfvHrBbYIEF3MCBA/NaLhreAFWgbAK5Is+uHd1QSyNkdRnjtfTSS7v//e9/f/gRoo78b2xHsAUJghtZsDQOHTrUnX766e61115rZFWCYxNUsdxyy3mO++yzT/A59cSFhvGHh00sfR9++GHD66sKOCeRp7OgYQTw3yCNgQ28+I7lFqx4dmPj6TGuSC0sXKRxKbX/Dz74ILCUUWfqhcBqZCH4BHFMfRhgacM333wTVKl3796eLYMxlgyVdBO4//77fZ/adcM7N1Z8W1UKExgzZoxnx7iT67bAtWQ5KrHiDRgwoPDOavgGixcPXKSPyvdQa7vmYZYkzCY6CwWl2fZxvzNek+bKzrttt93WmU8j07QWFMeqGviMqiSDgEReMvqhKWvBkylTiCZQ8kXL4vRsgwqRXHFlnefJkxvlX/7yF8cUZ77CgLb99tv7+pAJ/9577823ad0+I5+eRbKtuOKK/sZFoAr1gx2D7t133123OulA8RJgnWOuG5uGt+uD8wALFZGhKn8kwFKBsIIbQUq5hYTtdi2tsMIKsa0Mg6Wd45CYnOUe8xX8kBFU9oDL2NToYDMehC15PfVh9RwKgg4XEdjy+YknnpivSfqsQQQk8hoEvtkPi1jD6mQ3qI033tg999xzwRQK0yi8SNKJQGEblkXL50MTFUcys1tdWGM3n9A799xz/TZLLrlkw5dVw6po07HU/corrwxw4LNoFgluJtdee21UmLSfBBHgfMwVenYOs+qDyv8R4GHMLGIIYcSVjTO8kygZS5nxQ/DFVa655hp/HEQToi/34TU8g0G9GSuLWf3iqqvtl6UQmTI2Pvvtt1/g+kG9jznmGP85SyfmtsX2offGEJDIawz3pj8qqzoUukHZQBJ+P+CAA2JlxlQxVjw75nrrrddC6DHo8pl9f9ttt8Van1I7Z0p211139fVZfvnlg5/gGI3fotUTvyKV7BIIP3hYn9s7/q75XCCyS6NwyzbZZBN/TRifQu/4nMUpqPDzC6+mQb4+LIsmjvAdPOyww3x9EVGNTpcTfqBAdFqwxbPPPhtY72CJdZllGlWSRUAiL1n90TS1mTx5sh/ECg229jkCZtKkSbGzwakYK54dF4E0btw498orrziWULPP//znP8del1IH+M9//uPrQ0Tb6NGjg5/wefv27YPvyDmIdVQl2wSGDBkSrP5i52f4HT9Wpu6bufBAGX6AC/PJ/RvL96hRo2IVefQFSZjDQo8ZC6yLRMWHBR7Rq4xBjSws52auH9SHZNIU6rrFFlsEY82iiy7qOA+x+Kkki4BEXrL6o2lqE7ZCYeLHj4gX/kbhgAEGYaZS6lUQeuG1FxFQZG23mwECD+tInE/6hdrKKhZMmTC1vNpqq/k6LbXUUoFVj88tiSv1JTWN1o0sRDN7n4fdH+x85Z2HpGY+D/Bbbd26dXC9kKjXxhrezz//fB8wACuCLep1bX/++eeuV69e/jpeYokl3EYbbeRnOBZeeGH3r3/9qyHZBLAc/vvf/3a77LJL4PphvooEVyDsdt55Z2c+jnAjtdXVV1+dvYsqAy2SyMtAJ6axCUxRMDjkWhpIScJNie94kT6l3gV/vC5duvg6WF0QfKWib+Os6yWXXOJvAFanYu84QfOETUAGohCB+PXXX8dZxYbtm6AY2tmsr5VXXtlfN0SG5p4XWIrYJqv9X+zEO/DAAwMeCBWmHcNlhx128NcUlu96J+9lahahx7Ua7jNSHg0ePNjhftGIwswJY0e4TqX+ps4ErHANEs1PDlSVxhOQyGt8HzRdDZhSJLKMQYMpCys8PV5wwQV+YMHaR7qBRhSEXocOHXxdqCsRZO+//34jqhMcE4EZrhPWCW7cWCdatWrl68qUCoEq+QblRk/9xAEPy0ulN6R8bLLyGdeXRTvmtonzp9G53+I4Bwrtk1xtFoSEZcysdLw/8cQTPloULviXNaIgvPfaa68W1ysuF1gaG1WYot19991b1ImxZtVVV3WML3ZeIZwRdrkile95qFRpPAGJvMb3QVPVACG3+eabB4MEgRcsUWaF5MJmheCdRcEbUbgBPPnkky0ElQ1qPPk3apkjbt4MslYXloOjkIE+LOrgOGXKlCC7P9Mq9urXr18m1+Ckv/LdZIxTs72bOMi9SRsHrr9mKUzVWrtZycIKvqqdOnXy3x1xxBH2Vd3fSa7OtKjV096p38MPP1z3+nBAIvfD5w91obz99ttuyy239HXlXCL/5mmnnebHGcYbVhZpZheBhnRagYNK5BUAo4/jIXDnnXcG/hsMZESxWRZ3okVtmpboLXLi4bPSiEJKBVtkm3rik8cUhA2+WEnqLfQee+yxFnXAL4a8VfAknYvVbbfddmu6CDdE3gknnOAZGItmfCeKdNq0acFlE05cG2aB31czFMRT2G+MlExWwsENm266aRBcZd/V852EzGH/ZMbE9ddf35/LjDv1FnoIvHBKKerEmsmM1aS6snMJyx4JplWSTUAiL9n9k6na8cRnC1tjeenTp0/QPvxSSBNgVrzNNtusob5D/fv39wMZT6ok/WSgDQc1bL311nVbQxeBx5SIDa7dunULRCYWvFyB10xTcbkXx6233uqa/YXAw3czd/rPzh3cJJrlxnzdddf5a4aoeVKU4ON24403+uuGMQfrVKMKQVzWN0zRsqIJeS4ZX+xzppLrJfRwR2ElCzu2TRuTGsVW1uE7fHwbNb3dqL5K63El8tLac6F6E3V51llntci1FPo6EX8i8HB6tqVvSAJq/nbhTPP4lllS30ZUnKWGwv5d5MezwgBsC3Mz0LEaR9x5oZg2ZqC1QReBx5M2dbFE0XzHdE+jLJ/GR++NJ8C1Y6sk2Dlj73yOlboZyiOPPNJijVUTSW+++aazoC+42NqrjWBCaqZwgFd4WTrcLcJCD2ta3AmuEXjhFYYY65j6py5h6yIuIxJ4jThjqjumRF513BL1KzKoYxljmjOp0XM8sdrNh3db+oZ8UeGBhZQGlhS03pARnSbw8Bfce++9/5C+AHFFxny7cfLUG2cwBhG9HIv+ReBxLOpAygKrA1O0Enj1PluSczyWlcJfkwcnS3Vh5wbvBOgwrU++uGYojB/mb8d1w0oWXB98TooUY8OsArMIjSrhKVEie3ODoniADK9oY6IrrvriImNsGOOYoqUO4RyhTNE+9dRTcVVB+42BgEReDFDrvcvwwJVEkYe/HY7NNoAQMMC0CTenHj16+M/J99bIctFFF/m6sEYt6VzyFXL5UVdrTxzrwnJDYlrJomaZbuKJmuWZTIhyfAQeSUlVmpMAqS5sPVE7H8Pv+G5yHjVL4bphmtYeKFmlBqGC79vAgQO9SwjTtLZqQyPYENlrrhbkxyu0ZCOWR0s4TL+GsxFEWW+CJMiryTHmnXfeQOAxbZzrg0e9VdJFQCIvXf31h9oSABA2pRP6nqTCkzK+d3bjYekbAgYorH9on5NRneSbjSxhi+Itt9xStCpMneBHiMCOWmSRvoVAAlI+wAdrBH6CHNNuDHyOwMO5XKX5CCBcyKMWftiwa8neOWeaqRC5z6xGOMUHD24UprERL7BB4BHV30gr3oUXXujHPh50ixWEHuPBP/7xj8iXqSO/JO4yJvDgQ/AOD5RhgUcgWrP4chbrizR+J5GXxl4L1RmnfBvUWbpn1qxZoW8b/2c46hGBR3oPnqqxQFi9mRoYOXJkwyvLUmvcJHDeb9T0J/0ZjuyFETcBUkGE/QEReOQAU2k+AgTXhB/s7Dqydx4+WCKr2QoW9rC/HVYvWDG7YSIGyzgCj9mFRhZmMRjzGG8I7GpEwbeXGQs7b3gnkwDr6IYFHj54zb40XiP6J6pjSuRFRbIB+yF1RDgPFM7GfJaUgpXJIlKZUqKuv/zyi+PJNDyIkGNJxQXJWcPJjplqYnpk6NChLQQeQRYE26g0HwGszeEl7cI3aL5jCpIgp2YrrJnK8ojGgzxt+Nh+//337uijj/ZWPB6Em8U3sdg5kBtFy5QxgpN7SHhsVhRtMYrp+E4iLx39lLeWTBPakytTeklbRia8liapSPCXoYTTO5AahMSkzV6IoiWCzm5SliaF6DZbHJzvyKnVKCtjs/dRo9sfdsK384R3pvXJ9YagadZCtKf5rxJ88sUXXwQo8EckiApOTNcOGjSoWRH5dmPBC6+IQiJ1rKC4ADBVa+cWQRaFfAX9zvRH4glI5CW+iwpXEIuYXZBEitnAVvgX9f0G8caNiakl83HDwdfEDAI17rQA9W1x5UdDqN92221/SJOCTwxRtCbi6WemaIlGVmlOAtx07Xq3dz5rpG9ZUnqC64IEx1i/Tz311KBaTNNyzRgrIvebuWDBZEzeaaedPBN8Ok3gkSTbWOEywoOnSvoJSOSluA/xLbGLctSoUYlvCRG1NqWC5fGAAw5IfJ3jrCBJWMNTI/QlFk8CU4iitSALLBS9e/du4UeErxHCGUtFNS/EdaP9kuJkm8V9n3nmmf56J3ci54T8Mgv3NA9JNj7aslyFt872N7jJHH744Z4HXPCFZpwhijZswVt33XVbpHNh+h8hWM04w2/uuOMOR4CHSmMISOQ1hnvNR8XfzaYniCbDYT/pBdO/BQ8g8rDyHX/88UVfJFDGYpnFMnbs2BaWOlb6oK34VYWjJsl/SM6+k046ybMKp1WwG1kl76x8oKmr9J1VQ4YMCVa0kCN88b7jASZ8jZBvkofiYuMN7iWNWi+7eGtq/5ZgN6b0bYxgihYRPHv2bMe4Y5/zjkUPa6ix6tmzp/dpDG9Xyd9YD1UaQ6DpRR7iiIWYcVom+7kt7t2Y7ij/qL169fIX5kEHHZQKfxxuUJUMDLYtAzT9U86LyMK0iEIG3vHjxwcCnfMQXxkKy1JZ2+N6R2RffPHF5Z9w2lIEUkQAy1E11w7WLR4+yxlr9t1331Q8XFu34QLCOMPLVj5hzKmGU6W/kcizXqj/e1OLPCKJwhYTTlz8xTBtJ71Ymg2WtrrvvvuSXt2gfgwsJPUlA385L1vLttIB5aijjkoFj0KVJPM9qQxKMSJyGX8+BupKX0zz8RSvIgJZJEAqKVKolLqG7Hus5ZWOM2y/4oorphrfd99957DUGYdC71j+se5VOs7Y9klM0p/qjqug8k0r8liyxQQeVg0TFEyBJl3kMVVjEZesb5imgl8efMt5kT6EJXUI4y/3tfbaa7u77rorTUjy1rUcThatnHcH+lAEmpwA6aTKGWfYBvcXxE6544xth59k2ku5nNLezmatf9OJPJzd8UUygcfTGP5OpKbgb55kuOiTXJgmoK6IU/JBqYiACIiACIiACIhALoGmEnmk7yDEHoFkLxav5inujDPOSI3Iw4eQ+mPNmzBhQm6f6n8REAEREAEREAERcE0j8ohkxM/JxB1LtYwYMcKR+ZtCJBHfJd2SR9QYiXKpa7OnBdD1KwIiIAIiIAIiUJhAU4g8HNk7d+7sBV6XLl0coi9cTjzxxFSIvGHDhvnUKTjeq4iACIiACIiACIhAPgKZF3kvv/yyX5wa6xfWvFyBB5jjjjsuFSKPdV5pB/545JBTEQEREAEREAEREIF8BDIt8hB4pOxAFPFicWoSzeaW9957z3Xt2jXYZu65505s4AWrHIQTV/7888+5TdH/IiACIiACIiACIhAQyKzIw1q3zjrrtBB4L7zwQt5uHzlypN+O0Pikpqa47rrrfD3Jz0QyXRUREAEREAEREAERyEcgkyIv14LHFC1+eYUK6+uZte/hhx8utFlDP2ch+3DgCLngyG+kIgIiIAIiIAIiIAL5CGRO5JFElgWWTbQRZMHSUcXKTTfd5LdHTCWxTJ482deRNDBffvllEqupOomACIiACIiACCSEQOZEHmlRTOCtscYaeYMswuxZ2on1Tu03llIlvE0S/h48eLCvI0tZyYqXhF5RHURABERABEQguQQyI/Kw4LFU2bLLLhuIIVa0GDNmTEnyr776qptzzjmD37Rp08axsHXSCla7RRZZJKgjy6+x5q6KCIiACIiACIiACBQjkBmRx3qu5I0zi9whhxxSrN3+uyeffNL/5uSTT3Y//PCD/y4pf5xzzjm+jjvvvLObMWNGUqqmeoiACIiACIiACCSUQCZEHlOXRx11lBdC3bt3d2+88UZJ5Ai6bbfd1v9u9OjRJX/TiA3at28f1HH++ed3RAKriIAIiIAIiIAIiEApAqkXeaQ7IbVIu3btAiHE1Ct578opTIOa5Y+UJJMmTSrnZ3XdZsqUKW6xxRYL6okgZVkzFREQAREQAREQAREoRSD1Iu+dd95xCy+8cCCCWAViv/32K9Vm/31Y5A0YMCCR+fEOOuigYHULxGiPHj183fWHCIiACIiACIiACBQjkHqR179/f2+N22effdzXX39drL0tvrv22mv9bwcNGtTiuyT8w4oWtsLFggsu6O6+++4kVEt1EAEREAEREAERSAGBVIu8Tz75xLVu3ToQakTGPvXUUxUh79ChQ/Dbeeed111zzTUV/bYeGxMtvPjiiwd1ROypiIAIiIAIiIAIiEC5BFIt8vr27estcUzTVpIgGF83m+bddNNNHevCJqn88ssv7rDDDvMi9PHHH09S9VQXERABERABERCBhBNIrcj74IMP3KKLLhqIIHLIVTqV2adPnyA/HnnnLrjggsR1Ezn+LOBivvnmS1z9VCEREAEREAEREIFkE0ityMPKRaAFAQm77rprxfntNtpoo+C3nTt3dt9++22ieglfvBNOOCGoH+3r2bNnouqnyoiACIiACIiACCSfQGpF3uabbx6IIKZc77jjjopIP/30026ZZZYJft+1a9eKfluPjSdMmODwE0TgYWmcOnVqPQ6rY4iACIiACIiACGSIQCpF3nPPPecsQfBqq61WUXeQOPnII48MBNTcc8/tWOs2SYX6HX300UH9EHkkeU7iKhxJYqa6iIAIiIAIiIAI/JFAKkVeeCqTZb4qKS+++KLr1KlTIKIWWGCBSn5al23feustv5Zu27Zt3cSJE+tyXB1EBERABERABEQgWwRSJ/J+/PHHIOExVi4CEl5//fWKeuSqq67yVrKtt966ot/WY+N9993X14/o4VmzZtXjsDqGCIiACIiACIhAxgikTuSROw4LHCKPtVwrKT/99JMLp1157bXXKvl57NtSH9pE25Zcckn35JNPxn5MHUAEREAEREAERCCbBFIn8linFhHEC3+1SspLL73kWrVqFfx2rrnmcjNnzqzk57Fvu9tuu/m2sZzZb7/9FvsxdQAREAEREAEREIFsEkidyBs6dKgXQtOnTy+7V7Di5QY0MPWblPL888/7iF/y/8mKl5SeUT1EQAREQAREIJ0EUiXyZsyY4bbYYgsv8j788MOyqX/22Wc+oIHkyZMnTy77t3Fv+Ouvv7revXv7du2xxx5xH1L7FwEREAEREAERyDiBVIk8ImNtqnaVVVZxn3/+edndw1St/fbEE09MVEADa+4utdRSQf0IJnn11VfLbpc2FAEREAEREAEREIF8BFIr8kaNGlWRz1q3bt28yMOvLynl+++/dwcffLCv2z777JOUqqkeIiACIiACIiACKSaQWpH3zDPPlI2dAAaLWiVHHhbBJBQSH19yySXBqhZYGbfaaquKrJNJaIPqIAIiIAIiIAIikEwCqRJ5Y8eO9Rav0aNHl0102LBhXkgdd9xxZf8u7g1Zrqx169ZBm1jG7IUXXoj7kNq/CIiACIiACIhAkxBIlch7/PHHKxZ5RNCut956we+WX355RxRrUspJJ53k27P//vu7L7/8MilVUz1EQAREQAREQARSTiA1Im/27Nluhx128KLoiSeeKAs9/neWPHmTTTYp6zf12OiTTz7xU8gLL7ywe/TRR+txWB1DBERABERABESgSQikRuQRSWvRsfjVlbNaxbfffuu22Wab4HckP+7Xr18iunXatGlu77339u3p2bOn++677xJRN1VCBERABERABEQgGwRSKfLOP/98R265UmXEiBEOXzfEIcuEJUVIkcLFBGvbtm3dHXfcUaop+l4EREAEREAEREAEKiKQSpE3ePDgko0kcvWcc87xYqp///4lf1OPDd577z231lprBfWaZ5553PXXX++oq4oIiIAIiIAIiIAIREkglSLviiuuKMnggw8+cOuss04gphZaaCH3ww8/lPxNPTYYMGCAF55dunSpxyF1DBEQAREQAREQgSYkkFmRd/PNN3sxNXDgwLKmd+Pu/3fffdetscYavl4PPfRQ3IfU/kVABERABERABJqUQM4XoQEAACAASURBVCZF3syZM92aa67pxVQ5QRpx9z9TskOGDPF1Iq2LigiIgAiIgAiIgAjERSCTIu/222/3Yoop248//jgufmXvl4jaZZdd1teL9Wrli1c2Pm0oAiIgAiIgAiJQIYHMiTyWMGvfvn0gpuaYYw7HtG0SxBTBIhZRu+222zqsjSoiIAIiIAIiIAIiEBeBzIm8Tz/91C9httFGG7kpU6bExa7s/X7zzTeOVCmIPFK6PPDAA2X/VhuKgAiIgAiIgAiIQDUEMifyTjjhBIcFj+THF198cTVMSv5m1qxZ7p577nFXXnmlu/vuu91XX31V9DekbzEr3o477uhY7UJFBERABERABERABOIkkCmR99lnn7kOHToEggpfvKlTp8bC7qqrrvJLkrVp08ZdcsklBY+DZXG55ZYL6jT//PM7EjSriIAIiIAIiIAIiEDcBDIl8k4++WQ399xzB4IKi1lcpVevXt4yh4Xu4IMPLngoVrfAqsh23bp1cyy1piICIiACIiACIiACcRPIjMjDakdyYcRUq1at3LBhw2Jjt//++7cQeYceemjeY73//vs+lct8883nhg8fnnc7fSgCIiACIiACIiACURNIpcgj31xuCS9hRo68OMtxxx3XQuT17ds37+HCvnibbLJJ3m30oQiIgAiIgAiIgAjEQSCVIu+f//xnixUsWA/WljDDknfnnXfGwcrv84033nDHHnusO/DAA91RRx3lxo0b578L/8H0MfXh9be//c19/fXX4a/1twiIgAiIgAiIgAjERiCVIq9Tp04uvIpFeCWJJK0HGxZ5iyyyiMPiJ6EX27msHYuACIiACIiACIQIpEbkzZ492+28887eMvbEE08Ezfjoo48cos8sZvZ5qI0N+/P+++937dq183WbZ555AgughF7DukQHFgEREAEREIGmIZAakUePsBSYibnRo0cHnXTNNdf4z4heTZKA+uWXX9z06dPdBRdc4Oacc86gnryvttpqwTq2rM6hIgIiIAIiIAIiIAJxEEiVyHvppZe8oHvmmWfczz//7C1lpCl5+OGH42AUyT4HDRrkc/ghVLHqnXvuue7DDz9MxLJrkTRSOxEBERABERABEUgMgYaJPKZfx44d6z7//POyYbz44ote5N17773u8ssv9/9vt912btq0aWXvqxEbYtXLzbHHVPNNN93UiOromCIgAiIgAiIgAhkm0DCRx5JgrARx+OGHl433hRde8KKOlCQLLrhg8H/r1q3djTfeWPZ+Grkh08msmLH++uv7tiy55JKuX79+DkuligiIgAiIgAiIgAhEQaBhIg/LG9OWHTt2LLsdJDwOp0ox/7zu3bu7mTNnlr2fJGz47rvvuj333NMLPdqyyiqrOPM1TEIdVQcREAEREAEREIH0EmiYyNt+++0DgYOwKbcQqDB48OAWwoiVJIYOHVruLhK1HVa9Bx980K2++uq+TUzfjhkzJlH1VGVEQAREQAREQATSR6BhIm+HHXYIhM2qq65aEbUbbrjBCyKsX2uvvbZLe5QqOf823nhj364VV1zRPfnkkxVx0cYiIAIiIAIiIAIiECbQcJGH5WrWrFnhOhX9G987m6ade+653ahRo4pun5YvJ02a5Lp27erbRpoVpm7TLmDTwl/1FAEREAEREIGsEWiYyNt2220DQdOmTZsgSrYcsKRMIe2IiTxWkai1vP3220EgBILqp59+qnV3Nf0ei95GG23k28c07pQpU2rap34sAiIgAiIgAiLQnAQaJvJIENyqVatA0BBp+sUXX5TsAdao7dChgxdBCy+8cE2Wrh9//NGRQBnRuNRSSwUpXUpWIuYNWBd3s802820877zzlEcvZubavQiIgAiIgAhkkUDDRN53333nVlhhhUDMIPaOOOII9+WXXxZkzLTl+eef78UPwmyBBRYouH05X2C9M6sgdWHKNAmFeuBrSN3atm3rbrnlliRUS3UQAREQAREQARFIEYGGiTwYDRkyxFvz5phjDrf88su7Cy+8MK/YQwAutthiXpQhgFg14vbbb68K97PPPutFJvsaOHBgTVbBqipR5EfDhw/3S6GRR4+pahUREAEREAEREAERKJdAQ0UelSQpMhY5s6jxjti74oorWvij8b9tg3WLBMj836VLl3Lb6rcjcnXllVf2+9twww3dxIkT/fdJ+OPjjz/2U8ks2UbqGBUREAEREAEREAERKJdAw0Xe77//7kiLsssuuziseSbkeO/cuXNg2bv22muDaUs+m3feed2ll17qNt9882DbNddcs9y2Onz6Lr74YkdErx1ngw02cBMmTCh7H+ENZ8yY4W6++eYg3ckvv/wS/iqSvxF2RBBTV3wRP/3000j2q52IgAiIgAiIgAhkn0DDRZ4hZi1bBNNee+3lBZgJsfA7Iq9nz55eqC266KLumGOOKfk6+uijW6QoYZ8IPCJaqy22Du3iiy8eROgSyBFl+eyzz9xBBx0UTNsyNd2nT5/UrewRJQ/tSwREQAREQAREoHwCiRF5VmV87x577DG3zTbbFBV7YeFX6d/t27d3I0aMcO+//74dtqp3onvt2KRzGT9+fFX7KfYjoo6XWWaZ4DgIXKyaKiIgAiIgAiIgAiJQikDiRJ5V+Ntvv3XTpk1zhx12mBdSTF0uuOCCwQvBYwIr/Ll9X+id3HNRrSax0EIL+TpQl6efftqqH+n7RRdd5I+z8847l5VuJtIKaGciIAIiIAIiIAKpI5BYkQdJLG3k0ENAEXxw/fXXBznj8ON75JFHArHHdz169AjA83k5r6h6KRy8QT2ee+65qHbdYj9MZRNhyzF43XHHHS2+1z8iIAIiIAIiIAIikEsg0SLvzjvv9MKGIIzcstxyywXfY9364Ycfcr+O/f/777/f7bvvvsHr9NNPd59//nksx0S4XnXVVZ7F1ltv7d56661YjqWdioAIiIAIiIAIZINAokXezJkz3XXXXedY9YHExbll6aWXDoQPgQ933XVX7teZ+p/I2rDlsHv37i6OiN5MQVNjREAEREAERKCJCSRa5JXqFyJmbQqzf//+pTZP9fe//vqre/zxx92qq67q26wEyanuUlVeBERABERABGIlkGqRh3XLRB6pV7D8Zb2ceuqpvs3kF1QRAREQAREQAREQgXwEUi3yCEho165dIHpIpPzoo4/ma2OmPnv++eddx44dgzZj1dOUbaa6V40RAREQAREQgcgIpFrk/fbbb+6yyy7zlq2RI0dGBibJO9ppp52CNs8///xBxHGS66q6iYAIiIAIiIAINIZAqkUeyN544w0v8ljBglUisl7OOOMMxwoYTFV37drVff3111lvstonAiIgAiIgAiJQIYHUi7zp06e79dZbzwu9d999t0IE6dscX0TWskXkYc0bOnRo+hqhGouACIiACIiACMRKIPUijylb0qxYAMbVV18dK7Ck7HzAgAEOP0TaffzxxyelWqqHCIiACIiACIhAQgikXuTBkaTErIiB4Gnbtm1TBCOQ/NmmbLt16+amTp2akFNK1RABERABERABEUgCgUyIvBkzZrgdd9wxEHmsYxvXyhNJ6DCrAxbMFVdc0Vswb7vtNvtK7yIgAiIgAiIgAiLgMiHy6EeWFcOSxxRm3759m6Jrb731Vi/yiDJG+KmIgAiIgAiIgAiIAAQyI/KwZFnOvPbt2zdF73788cde5K200kruvffea4p2q5EiIAIiIAIiIAKlCWRG5JEYeeuttw5EzxJLLOEmTpxYuvUp34LUKdttt50XeuPHj095i1R9ERABERABERCBqAhkRuQBpEePHoHgYcp2v/32i4pRovdD0IlFFo8bNy7RdVXlREAEREAEREAE6kcgUyJvzJgxbtFFFw1ED1a9Zljy6+GHH/Yi78gjj3Q///xz/c4eHUkEREAEREAERCCxBDIl8qDcqVOnQPQstdRS7pFHHkks+Kgq9uKLL3phi0Xvq6++imrX2o8IiIAIiIAIiECKCWRO5B100EHestWrVy+Hr16WC+079thjfZu1xFmWe1ttEwEREAEREIHyCWRO5BFx2qpVq0D0LLLIIu6xxx4rn0ZKt7z00ksl8lLad6q2CIiACIiACMRFIHMiD1B///vfvegZOXJkXOwSs9+BAwf69sqSl5huUUVEQAQqIPDJJ5+4E0880V155ZVN4U9dARptWkcCP/74oxs0aJDr0qWLO++88xyrS6W5ZFLkvfvuu1707LXXXpn3U7vwwgt9ey+55JI0n4+qewMI/Prrr8GyeB9++KHjbxURqDcBfIn/+te/BuMY2RHkW1zvHtDxjMDbb78dLI9qiyuw0AJjY1qDGjMp8piytShbljmbPHmy9V8m30eMGOHatGkTDJAEnDRL4cl/0qRJ7qeffmqWJsfSzptvvtktueSSbplllnHDhg2TFSUWytppMQLhVFAktf/mm2+Kba7vRCA2ArNmzXJnnnmma926tTeeLL300u7GG2+M7Zhx7jiTIo/UKffdd58744wz3A033OC+//77OBk2fN+s1WuJoJtF5LG6x8477+xWXnll95///KfhfZDmCpx00kl+MOMGi9CTRS/NPZquumM52Wqrrfw5yHStzr909WHWaktAI0Jvzjnn9Ocl95oHH3wwdcGcmRR5WTvhymlP7969g5OxWUTebrvt5i++yy+/vBxE2qYAASyiBx54oOeJ0Lvmmmvc77//XuAX+lgEoiOw7bbb+nOPFFjMxKiIQKMJYNEjDdsee+zhz8/FFlvMPf30042uWkXHl8irCFdyN95///2DE7EZRN7//vc/N9988wXtZYqRJNgqtREgYCcs9BZccEE3fPjw2naqX4tACQIvvfSSm2uuuYJruUOHDu7RRx+VFa8EM31dXwI8BIeXD+3bt68jOCMtRSIvLT1Vop4m8vCtyvJKH6+88koQ9WRLufXp00cWpxLnRrlf4+xOnkn8WOGL0Mu6q0O5bLRd9AReeOEFt9pqqwXnGudbv379oj9Ig/aIkz7X02+//RZLDfBZTHvUZyxgYtrpW2+95eaZZ57gXOWhhKnctBSJvLT0VIl69uzZMzgBcRa9+uqrS2yd3q8POeQQf1Po3Lmze+aZZ9LbmATWHP/OnXbayTM+55xzJPQS2E9pr9LEiRPdX/7yF3+eka4C0ZeFgrDDH3yTTTaJZXziQRcf7L/97W+pjfhMWz8jqMPBGAi9999/PxXNkMhLRTeVrmT//v19EuiNN9649A9SuAX+ESussEJwY5h33nndc889l8JWJL/K//73vx18sa7w9EoeRhURiIoAvp5Y7cwav9ZaazmmbbNScNo3q89hhx0WafQ/7EjpYey+/fbbhmMjSObll192Y8eOzfRUO/168skn+6jbfffd13366acN51+qAhJ5pQil5HtOtlVXXTW4+DfddNOU1Lq8ajKwIfA6duzoBzd8JKIur7/+urvqqquCnEhR77vY/ui7oUOHugkTJhTbrMV3DKxEFZP+5LvvvmvxXa3/MM106qmn+sGse/fute5SvxcBTwArXvv27f21PG7cOP9dVH8wZmDlJ71UvXPukdKJB22EGKm8rr322qia5V599dUW42ASRB7j1korrRRkOvjggw8ia2sSd8S51K1bt6Bvyed43HHHJbGaLeokkdcCR7r/WWeddYKTL2si77PPPvMWPAZOLrI4TOWIGQI6EDj1LByP42LRKPeGN2XKFLfsssu6hRZayD311FORV5fIshVXXDE4n+IQ1JFXWDtMBQGmMgcMGBCcV1zLRNbGURgzOH8XWGABd9ddd8VxiKL7fPLJJ30b27ZtG1mOtfDqRoxXSQgAIF2ZWRYRoVkvN910U+CvTJtJq8LiC0kuEnlJ7p0K67b22msHF1vWRN7111/vB5HNNtusIoGHBXDvvfd2TzzxRFGaTP1a8ssDDjig6LZRf2mZ/hk0SA2DFaJUIQm0DawPPPBAqc2r+p4BjGNgIcYPSEUEaiXADZEHE84rcpDZeUWgwsyZM92XX34ZiZ8ZaVjs+ojSklZu+wlYCl/XBDHhBlHOtV3oGFgl2Y+1q9wHwkL7o4615iPk96eccoqvU71FHkGGnDNMpdZS8LkrN6k+bd5ggw38OcwUbpKLRF6Se6fCumVR5HHxEjHMwEbU5+23314RFaxj/Hb33Xcv+DusCzwVsx0m+KOPPrrgtnF88eyzzzpy03H85ZZbrqw8TPi/sD0vEnTGUWxagmMkfSCLo/1p3SdCCh+31157LXFNOPvss/1526NHD8d0I9Yo1hvn+saizfVX6xQrlm67Pq677rqGcMANY7/99vP1WHjhhYPp42oibnHJCK/i1KtXr5oY4erBA/PFF19cExtcXMx/l7578803a9pfJT9G4CEwsdYSLFbtsWkDufDwn2QGo5yC9dISJXOPYR9JLRJ5Se2ZKuqVRZHHWrx2MW255ZYV+8tZoMYuu+xSkOhDDz3kFl988WAwZvkaBFS9C2ss202JCOJiT5VYAw499FC/PUtCxVHwaTIHchaOV0k+Ac5d/KM4l7CYJSn6fPr06d5aPv/883s3A8QQOfLs/Oe91get448/3u+PxN7VFiyMCGZW5aimTJs2zeGgb21jnGEVpkqF3kUXXRQ8gLKfbbbZxjEdXUvZZ599gjqRZ7RaQY0FjQhfa9uRRx4ZuX9wsTZiiVx99dX98Yk4rrSf4BhebYX+KreYNY/2J3nJM4m8cns0BdtlTeQxfUMGfC4inhIJTqi02O+ZBs1XsCIwncsxsOKRJ64R5Y033vCCCqFZLJ0E21JX6sxNo9i2tbbFprAl8molWZ/fI444L+xFcvR//OMfFd/84qhtuG7k9TRxwfQXPmwIM/zXqDsPF4MHD65KzDBVa2t5L7LIIjVZui2if8MNN3QkYa+mIG7DFr0lllgisOiVu68vvvjCLb/88gEXrscoLJMsCQlnrHD0C6mTKi3HHnusP8/g/N///rfSXdS0PQ+7JM82txLas8UWW1Rk0bvzzjt9G3g44p5Tbgn7XTI+1jplXO5xK91OIq9SYgnePmsij6kdsyR17do18L2oFL8NAGuuuaYjoWVuwQrGNAoDBGb/Ri6pZEvTUReCaG677bbc6gb/h5d04wYeV1JUpkMk8vJ2QWI/JNqP8yf3hcWjEitF1A0kUIoloagXQu7uu+/+wyG4aV944YXBAx3bMX2LxRqRU2756KOPAr9Waz9ispaE3ljQbF9Mb1ZbEFFhocfUa7nWn9NOO80nKKcOJo6rrQu/44GZB2fjfMUVV1S0O6JozY2G8RNB3iiRw9SzBYnRnmKzNuFGIkrDlkAyFVRiYeW82mijjQKGiFz8pJNYJPKS2CtV1ilLIo+n3/XXXz+4gBB6lQ5ChtBySjHle95559nHwTuDEn4YNogffvjhLb6v9z/vvPOOrwt1YroNZ+3cYoMrUy08TcZVJPLiIhvffhEA4bVg7dzmnfMFsVHMFSCumiHWzPrMTbhQHZgexf/TVl3huuW6LFfYhEUuojKfmKykjUzV2oMiVvNaClaicDAG4ohIzWIF0Wp+xa1atXL/+te/im1e9nfwxx/Pzg+mLGfMmFHW76dOneq2335735877rhjzQEcZR24yEZY9MzaybiJBbZUsfslDNZbb72KXYF4KOH8MobPP/98qUM25HuJvIZgj+egdtJmIbqWJ3q7eFj6qNqCw7L52zFYkqPLCgtN242Hp9pKLAa2jyjfGXhJp4IfodWLAYuoOnvCfOyxx3yEHX41cRaJvDjpxrdvbj74J5mrgl1HvJOpn5UYKpmWqrWm1Ad/Wo6PsCknpQliBr89q/sRRxzhWF+5WMH5HYs9v2EaMt8DUrHfF/rOhBluFLUWfMCw6NkMBftE2BYqJLk3BqwQEmVhTCHQy/bPOFOqsI5reEUcpp7vuOOOUj+ry/cE5Zl18s9//rMrJrrISIBopu3cX6qdiucYFnjCeZKElDa5sCXycomk+P+siDymdswMzkVY6mm3WJdxgwlPuRBFi3MuFg1b75djEKVVyLpQbP9xfMcTNZGHNvhikbABmKdmPsfCcdRRR8VxeL9PiTyPIpV/IOSwUNh5FH4n9yEBD/UoPExZ8uNVVlml7EMyBcg0mNUboYezf76Cm8Xmm2/ut2UsjKpEKfKoE7MUliwZgXDBBRfkdblgHLTZDBjccsstUTXJ7yecngp/tlJRogSNWH/g75kUgWcNsiwJ1JGH+nx+gozz+FiyDQ89TIdXW7iPWBAL+yv1IFLtcWr5nUReLfQS9tusiLxwcs1arHjWPTw925QLFyJWBRu4+R8RlbSElvhPhYUePjw8fTIQU2dumnGnyJDIszMove8ffvihFxScN+HXDjvs4M4666zYG3fCCSf44+66665lHw9L05AhQ1oIPdwr8onTsPjgWo/SjcHGiigsedb4yy67LBAY9AdBIriS5PrWYs20/lpjjTXsp5G+I0pspSSOxSxQIaHHLEg4onTkyJGR1iWKnY0fP96tu+66nhuW3VyhR72ZIaG9zJrk89WupC48jFg/sbxb0opEXtJ6pIb6ZEHkMbCTNsUuGtKbYI2rpbDPxx9/vIWTre2f6QZuEEk0s3Mz69mzZ8CCKWeseJZPL+qpm3x8JfLyUUnfZ1iE7rnnHse5bud9+J3pwzgLwUEcj+mxSlNccA5yE7UkwLgxEA2PeLVCmpiwULn33nvtq0je4xB5WCTD4pep6fPPP9+PQ/jiYfW0fsJNI47C2DhmzJhgytKOxSxKblJjBF5YPDEdmkSrFYyoq1nqaFPnzp290GO62R6U+S6KZcmuvPJK309Yk5NWJPKS1iM11CcLIi8ctcVFGKWF7Z///Ke/GG1Aw6m7VhFZQ5eV/Ok333zjSJmCs7MFiTBVy/Ry3CVrIo8bGm1qtpedJ1gsLFrazn97J5cbXOIoFgyBxaqaQr0QemEfPQQQ1jAsduHISqLwa/GtzXeOWFQslrzcc6eWFSMI/Arn86NvcC1hOpE0KdY3+FAyDsRZ4Gj5FTku08mTJ0/2hwxPhZtoglVSCz52YVcFomgRf0TQmj8k06xRCFVyU9pDBj6nSSsSeUnrkRrqkwWRx8BigxtReIV8cKrBxPRmOGSei50bRRoKU87mb8LNIK4bcpgFg7iJgrTnyeM8IoKQ9jTrC2sYljDEUtjXza43uDBtGPVDT1jk1SKKsGyHnf65fkl7ZPVnKrEWFwYepvBVzD0/8NviGLDL/Q6xWcu0JTMIWPTC0cQdO3b0aZ14oGM2ox6FpR8teTztPeaYY4JzAQFoApu6sQRkNYW2YlWu9oUVrpIyYcIEZ/dE2oP1MbyKT5QphQ4++ODgHMGtJmlFIi9pPVJDfeyETnN0Lf4gNmjjmxdlIR0CT6G2f967dOlS9aAVZd1K7YvgE6s3/nj1KCw5ZdFqaRd5LJtl/Jr9nSX+cF+wxMO5PLAmRem+EJXI45wnmIQAjLC4o/5Mz1W7rJVdS1dffXVV5wiRzLUU8q1h0UPQ5fYFqUqiFCOl6onQM8GJSwhpVsLTxrWsRIJvXG77Kvkf62KlBSubpaAJH4uHnCito6xSxP7x705akchLWo/UUJ+sibxac1yFUTLti6CzC50ncvsb59xqn07Dx4jrbywrgwYN8vWtxXJQSR3POeccf+PBryrNhSWXrL+b/Z0pTQq5xJZddtm8XMI+b7X2e5Qiz+ptaZGsL8kNOHr06JrytSGmiHTFshZ+mfUfa1b4c/7u169fWWtNl2KI4CAXKMEwJrJoG4K73sXS3Rhbe8d4wJRntYWVeWxf1bxjhaumYNELB4xwbPy+a7Eq59bDRB7TtfUU5bn1yPe/RF4+Kin9TCKvcMeFI9VwIGY5G252Nthg4SuWV6nwnuP/hsXWw0/TtfgcVVJbOya+VMOGDavkp4nblif6sO+W9XuzvfNwY5Gnt956q1+1IJcDjv9RlShFHulYwtZ4y1FG/UkSXss6tYXay1KH7B9BHHdBkCAUOB4RoHGkTSnVhldeeeUP1i+sYYxDtZRGiTzqTM5EO8eZko7y/Gb/JvKY2mc93yQVibwk9UaNdZHIyw/wwQcfbGGx4ImfwmAWjsLCeTaJQo862QCFE3YUzsL5SbX81EQeTtcklU574SY1bty4pn0hIHCHIHKSB53cKU87xxD0xRL0VnoeRCXyuA7CQp2HNATrNtts468PBBJWvXJWPCi3HXFE1xY6Nn5w5gPI+rKzZs0qtGlsn3OtW15DOydYTeLFF1+s6Zi1irxqI1eZCWHctLbghx21TzP5Ai3zAUtSJqlI5CWpN2qsi0TeHwESqWYDFo7T3ADCwRxEYYVTA5CXL2lTt2FfFtZprFexiDH8glTSTwDBgMgzJ3q76dk7KVZIBxF1iULkPfvssy0EHtNvFv2JZfvAAw/0N3HawxJuPNxFUeol8oh+tnyeCHAiQRtRwv6/4alj6oYltdqCsGLsrfaFj3A1hfQzJpwZ3+NYY5YgNUtczbmZpCKRl6TeqLEuEnktAeJzwfQN4o6Bn/xPRHblFhJo8vRlNzsSj2LlS0ohYMTqVssgW2l7GBA5LhGHKuklQFQqVjB72LFzKfwe57rNtYo8znl74KDO3ERzfcNYeYAVYEwksR3tRbDUOjVXL5HHmr3WJ40InsPihb+vTRdTF3xxLaqf//FPrOcYFMVVZ/54BLacffbZUewy7z5sVkgiLy8efRgFAVu3kZMtrSUcXVtL4AUWvKFDh/rM5gi9YlYKprLCFr0zzzwzMQiZerLB/6mnnqpLvbD62NSYRF5dkMdyEFLvYIm18yf3nTRFBBDEWWoReViuwz54WEt4KCtU3nnnnSBVTridRGXWshJBPUQeliBLw0HS6EcffbRQE2P5HIF34403BtGhxo6k06QtwWJqQonviLolAXUaSngcQ6DWkmKnVHsl8koR0vc1E7A0ESTNTWuJQir36QAACqJJREFUSuSxCHo4F1jv3r0d61sWK2GLGfmgEJmNTvhJeoXwk7T5ExZrRxTfXX755cFySwzq5JdTSR8BxoOwv5rdvO2dZfPq4fNVjchj6pK0IuG8bQi83JUY8vUKvpekNbF28k7gAA9+1ZR6iDymo/F7o67VJo2upm38xgReOGJ5r732ajFewj0cqIaV//TTTy+4BFq1dYn6d+FxjGshziKRFydd7TsggG8Kg0WlSSOThC8KkceNywZmBk0EHvm1ShWmd1lb024O5DzKt05mqf1E+T3Ht/owFUXC1noU40DCWVYKUUkXgfCi6Xb+2DuCB4twvQJ4KhV5nOO4Vlh9eceSxNhQbpk+fbrjQS/shoGlqppiY0mUa9fm1gO3Emsv1tV6FqZoSeJrx0fg5Rv3sIKFAxjYnv/jtI7VyoGckNSTcSzOqVrqKZFXa2/p901BIAqRh6MtFzUXN8l8K0l6if/ObrvtFqyVyTRXvW6EhTqX6TYbfMmVVy/LIgw4Ln5NuQunF6qrPm8sASJizzjjjCDowM6Z8DsrXpAvMhx4VI8alyvyqD++sGGBh3WLyMWvvvqqqqoiZrHKw2GppZaqKurW1o+GXxyBT1xf+BNaXzHlXGthnCgnofWoUaNazHgg8IqdH1j08BdkStnqi9CzIJha6x3l75m5sWAI0t/EPY5J5EXZe9pXZglEIfJI5MrTNz6K3PSqKUxhJKGERV4xn8Io68qAzRJADOLLLbdclLvWvmIkEI6KtBsw76xswbUQ5TrQlTSjHJFH4ESvXr188m3qzVQtD2y1FoIHbDUJ/G6Z6agkES5pTez3uE5EXfAHtv3zUJrPilbJMYli7d+/f5BYmX3nK4xvRO+Si8/OFXzwys3ByYopJp75PUmkk1YGDhzo24Y/XtxFIi9uwtp/JghEIfKSAgJ/OtKfcAOrtmDBIB0EA2m1002VHvv888/3gyMDl0o6CIQXtbcbNwLvnnvuaWgDyhF5WMiszrwjIKIKPmBM6dChQ7B/UoIQiFFJ4ADWK7sGsTJGXcJtP+mkk8qywBWrA5Y4SxKdb21uRCAPBLlTtJWu1ECOQqycffr0KctXslid4/iOFXs4lwi6w2IZd5HIi5uw9p8JAlkSeYgl/HiOPfbYqvuGaRduAoMHD66LryX+jIceeqi/4Y4ZM6bquuuH9SWAGLHpKW5uAwYMcFGv/1xNi8Iir9DvyVeJ4z/pO0glEnWajr59+/pzGjasyVpJQcjwOyJgoyxcbyxlxr55RZGMHf9j218+kUf+wNwgi1rTzETJJIp9Yam1PkfY18PNxQJTlEIlih7UPjJLIEsiD4sBgy0pB9JSuMnYwvVMbamkiwBTsg888EBVvmdxtdREHtalQqsm4I9HdHsUIidfO5gCPeCAA4LrESEJo0rKjBkzAqZRrunL8cOBVUxPR+Hbhh9xMZFHeij7Hh+8NAfqFepDzjOWuaOdWPLijiKnH83FRSKvUK/ocxFwLoigswGo0dNMtXaIibykLXNTqF2zZ89u4QAetTWl0HH1ebYJMAVp13S1i8xHQYjlughqmDp1atXpVKKoR3gf+NxasvaLLrqoIl/B8H7Cf19//fWedz5LHtc10+FE8RYLsgjvM21/sza5nXN77LFH5MuY5fIgctdWB5HIy6Wj/0UgRCBsybvttttC36TvT0s3kBaRR+oKHL8ZHMkpldUbQPrOpHTXmETEnTp1Cs4r1kOOet3QNNMhd1+/fv2CHHSFgiQqbZ+tDoKQI6VWvoLltJLgk3z7SPJnpM8xkRd3ihemum2qlgAakvAnqWhZsyT1huoSTFfYxUkKkzQLDRN5aZj2ZF1I82GBP4OkighERWDLLbcMbrpMlTZqTdao2pL0/VhABev5Nmsh7Y7dR6KYAi/GkYTLdiweYpJWJPKS1iNNXh98XlZaaSV/0USRM6pRSE3kEb5fbmqCRtU1vG4mi6Mr4KJRPZHN47J6hU1nIfiqXWw+m3SibRVJ3BEdBx10ULQ7TtHe8O0kryEPFfnWK4+qKWPHjm2RcJtp4qQVibyk9UiT14cphCFDhniRd+utt6aWiIk8pkDPPffcxLaD1AlLLLFEwJy8WfgG4b+kIgJREcC5n2TEiA9uviNGjIhq19pPDgGJPBckPn7iiSccy0AyNR1HIcl+eL1zclHGdaxa6i+RVws9/TYWAkS+mfmbFReqXXMylspVsFPSnlhm+P3226+CX9ZvUwTennvu6ZOxMkWeVt71o6YjVUPgrLPO8tc1EZ4q8RCQyIuHa+5e77//fn8+I/DGjRsXrAOcu12j/5fIa3QP6Ph/IPDBBx+4zTbbzF9AJHlNYyE3k1nISN+QxEK+MBPU7dq1c6xjqSICcRDAykGkbefOnQMLSxzHaPZ9spKFRF78ZwErsZhlmvFz+PDh8R+0yiNI5FUJTj+LlwBWMEstwPqVaS2WqympIm/SpEmO5Yw233zzuq2okda+VL1FIOkEbr/9dtemTZvgwY1l4lSiJ8CSbtyT7OEYH9O33nor+gNFtEeJvIhAajfREmBxaQYpLqQ4lhKKtraF92aRbkmdri1cc30jAiKQNgI2AzLXXHO5U045JW3VT0V9e/To0ULgvfnmm4mut0ReorunuStHFnEctMePH59aEPvuu28wILBguIoIiIAIxEnA1k8llQduLyrREzAXFxJ7pyH7g0Re9OeA9igCngBClSV2WE9SRQREQATiJGBJeRF7KvEQIP0PS/Ax25SGIpGXhl5SHUVABERABESgBAETeeuvv36JLfV1sxCQyGuWnlY7RUAEREAEMk1gvfXWC9xD1l577Uy3U40rn4BEXvmstKUIiIAIiIAIJJYAUfwEq+20006JraMqVl8CEnn15a2jiYAIiIAIiEAsBAgEYC3VNAerxQKmiXcqkdfEna+mi4AIiIAIiIAIZJeARF52+1YtEwEREAEREAERaGICEnlN3PlqugiIgAiIgAiIQHYJSORlt2/VMhEQAREQAREQgSYmIJHXxJ2vpouACIiACIiACGSXgERedvtWLRMBERABERABEWhiAhJ5Tdz5aroIiIAIiIAIiEB2CUjkZbdv1TIREAEREAEREIEmJiCR18Sdr6aLgAiIgAiIgAhkl4BEXnb7Vi0TAREQAREQARFoYgISeU3c+Wq6CIiACIiACIhAdglI5GW3b9UyERABERABERCBJiYgkdfEna+mi4AIiIAIiIAIZJeARF52+1YtEwEREAEREAERaGICEnlN3PlqugiIgAiIgAiIQHYJSORlt2/VMhEQAREQAREQgSYmIJHXxJ2vpouACIiACIiACGSXgERedvtWLRMBERABERABEWhiAhJ5Tdz5aroIiIAIiIAIiEB2CUjkZbdv1TIREAEREAEREIEmJiCR18Sdr6aLgAiIgAiIgAhkl4BEXnb7Vi0TAREQAREQARFoYgISeU3c+Wq6CIiACIiACIhAdglI5GW3b9UyERABERABERCBJiYgkdfEna+mi4AIiIAIiIAIZJeARF52+1YtEwEREAEREAERaGICEnlN3PlqugiIgAiIgAiIQHYJSORlt2/VMhEQAREQAREQgSYmkHmR9/uvP7rZs35s4i5W00VABERABERABJqRwP8DtzrKzyTps8wAAAAASUVORK5CYII=)
EDIT vom 24.12.2023 um 00:35:
Vielen Dank für ihre Rückmeldung, ich hatte mir folgende Gedanken dazu gemacht:
![](data:image/png;base64,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)
Beim Überprüfen verschiedener Werte und betrachten der Funktion, kommt man denk ich zum Entschluss, dass die Funktion Injektiv ist.
Die Vorgegebene Lösung sieht aus wie Folgt:
![](data:image/png;base64,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)
Und dieser Lösungsweg, also wie man hierbei auf die vorgegebene Umkehrfunktion kommt erschließt sich mir nicht ganz.
Und es gibt keine "vorgegebenen Lösungen", die man treffen muss. Es gibt immer mehrere Möglichkeiten und mitgegebene Lösungen dienen zur Kontrolle der eigenen Rechnung, nicht zum Spicken.
Klar ist aber, dass Du Injektivität/Umkehrfunktion gar nicht verstanden hast.
Also sieht Dein Vorgehen nun so aus:
1. "vorgebene Lösung" sicher weit weglegen.
2. Bedingung für injektiv nachschlagen (mach das!), da steht "für ALLE u,v gilt: f(u)=f(v) => u=v. u, v sind dabei beliebige Objekte aus dem Defbereich von f. Können also Zahlen, Zahlenpaare, Zeichen, Texte, Äpfel, Birnen, alles sein. Erst wenn Dich das nicht mehr durcheinander bringt, hast Du es verstanden. Und mach Dir den Unterschied zwischen "für alle ... gilt" und "für ein paar, die man sich selbst aussuchen darf, gilt" klar. ─ mikn 24.12.2023 um 01:07