diff --git a/Submissions/002709710_HemaSree_Bojanapally/Assignment3.README.md b/Submissions/002709710_HemaSree_Bojanapally/Assignment3.README.md new file mode 100644 index 0000000..c9a21d8 --- /dev/null +++ b/Submissions/002709710_HemaSree_Bojanapally/Assignment3.README.md @@ -0,0 +1,13 @@ +Name: Hema Sree Bojanapally +NUID: 002709710 +email: bojanapally.h@northeastern.edu + +##Assignment 3 + +This assignment's main goal was to provide with a solid understanding of algorithmic concepts and real-world uses. The exercise also entailed in improving logical thinking and critical thinking, providing to take on challenging computational problems. + +Below are the learnings and the concepts covered as part of Assignment 3: +- Network Flow +- Bellman-Ford Algorithm +- Push-Relabel Algorithm +- Ford- Fulkerson Algorithm diff --git a/Submissions/002709710_HemaSree_Bojanapally/Assignment3.ipynb b/Submissions/002709710_HemaSree_Bojanapally/Assignment3.ipynb new file mode 100644 index 0000000..ba3ab47 --- /dev/null +++ b/Submissions/002709710_HemaSree_Bojanapally/Assignment3.ipynb @@ -0,0 +1,432 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "9cEVuujzVQMh" + }, + "source": [ + "##### 1. \n", + "Give brief definitions of the following terms:\n", + "\n", + "\n", + "* Residual Graph\n", + "* Ford-Fulkerson\n", + "* Capacity Scaling\n", + "* Cut Capacity\n", + "* Push- Relabel\n", + "\n", + "**Answer:**\n", + "\n", + "* **Residual Graph** : A residual graph is a graph used in the context of network flow algorithms, representing the remaining capacity on each edge after the initial flow has been sent. It allows for augmenting paths to be found and additional flow to be sent through the network.\n", + "* **Ford-Fulkerson** : Ford-Fulkerson algorithm is a method used to compute the maximum flow in a flow network. It iteratively augments the flow along augmenting paths in the residual graph until no more augmenting paths can be found. The algorithm terminates when there are no more augmenting paths, giving the maximum flow value.\n", + "* **Capacity Scaling** : Capacity scaling is an optimization technique used in network flow algorithms to improve their efficiency. It involves iteratively finding augmenting paths only for edges with capacities greater than a certain threshold, ignoring edges with smaller capacities. As the algorithm progresses, the threshold decreases, allowing the discovery of smaller augmenting paths.\n", + "* **Push - Relabel** : The push-relabel algorithm is a method for computing the maximum flow in a network flow graph. It maintains a preflow and uses operations like push and relabel to push excess flow from higher nodes to lower nodes until an optimal flow is achieved.\n", + "* **Cut Capacity** : In network flow problems, a cut is a partition of the vertices into two disjoint sets. The cut capacity is the sum of capacities of the edges that cross the cut from one set to the other. It represents the maximum flow that can pass from the source set to the sink set and plays a crucial role in various flow network algorithms.\n", + "\n", + "**Reflection: **\n", + "\n", + "By interacting with ChatGPT, I gained insights into the essential concepts, ensuring that the problem I designed reflected the core ideas of network flow algorithms.\n", + "\n", + "Balancing relevance and originality was a challenge, encouraging innovative problem variations. I learned the importance of clarity and uniqueness in problem design. Justifying the solution enhanced my problem-solving skills. This task highlighted the collaborative potential of tools like ChatGPT, emphasizing their value in problem-solving.\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "f9stZL8vuTJ9" + }, + "source": [ + "##### 2. \n", + "**Problem Statement:** \n", + " Given a weighted directed graph represented as an adjacency matrix and starting node A and ending node E, find the shortest path from node A to E using the Bellman-Ford algorithm.\n", + "\n", + "**Input:**\n", + "* An adjacency matrix representing the weighted directed graph.\n", + "* Starting node A and ending node E.\n", + "\n", + "**Output:**\n", + "* The shortest path from node A to E.\n", + "* If there is no path from A to E, output \"No path exists.\"\n", + "\n", + "*Sample Input:*\n", + "\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "*Sample Output:*\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAkoAAAF+CAYAAAB9IDW/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAABhaVRYdFNuaXBNZXRhZGF0YQAAAAAAeyJjbGlwUG9pbnRzIjpbeyJ4IjowLCJ5IjowfSx7IngiOjU4NiwieSI6MH0seyJ4Ijo1ODYsInkiOjM4M30seyJ4IjowLCJ5IjozODN9XX05okHMAADwLElEQVR4XuydBYAcRfbGv+6x1bh7SCCEoAkEdwt6uOsddrgdcBwcziGHH37HccgfdwkOAYIFCBIkAiEe4lkf6e7/+6q7d2c3u9ndZCM7+35JbVu1zEy9V19Vl1ieAEVRFEVRFGUZ7GCpKIqiKIqi1EGFkqIoiqIoSgOoUFIURVEURWkAFUqKoiiKoigNoEJJURRFURSlAVQoKYqiKIqiNIAKJUVRFEVRlAZQoaQoiqIoitIAKpQURVEURVEaQIWSoiiKoihKA6hQUhRFURRFaQAVSoqiKIqiKA2gQklRFEVRFKUBVCgpiqIoiqI0gAolRVEURVGUBlChpCiKoiiK0gAqlBRFURRFURpAhZKiKIqiKEoDqFBSFEVRFEVpABVKiqIoiqIoDaBCSVEURVEUpQFUKCmKkqN4WSEge1d2UKpxXbfWknie/yWl02mznn1Mad3UNYXlhbaKJYm+LX9+RVFyliz37jVSJrSCpWKYOXMmpk2bhq+++sqEaDRq9u+www4YOnSoCUVFRbAs/eJaO00VQfyl2+qvrUJJUZQcRYVSU2E2QNEzZ84cnHbaaZg0aRJ+/vlnc8y27WVqkDbbbDM8+OCDGD58uIqlVo4KpcZRoaQoSo7SDKFE2nB+Hwql7bbbDmPHjg32ylcSiKD6sgke+/77703tEsWU0jrJspLl0paFkqZuRVEU0pTcIkcJBdFnn31mliHcX1xcHGzVhuLpb3/7W/W5ysrRhpPfWo/WKCmKstrwqsuvlvnnI9t0Q5aN8AUPYzhBqKwCSkpdVFZUoaoyZeL5yBUkk45EIihun4+iQqAoH4jIEVsuwKWBF5NTzC2ybrkMmt8jHo8jPz8f+++/Py644AJsvPHGprZo7ty5OOKII/Dhhx9W1y7xu+/cuTPmzZunYmmFqUmITPu0ieykaWWnWYHHGI+hKiNBzKGkNIOlS0t5OKAmkRcWFqBduwTyxC7iUQmyl9bD6/BOfuB9ApuSjfD+2c9BTDx/tQH8q+YiKpQURVkt+CKJLp7yxxaXKlLGeB8XLh21bUH8PkQPYdIvC/H6u59g0vT5SCU9TJ7yGyrK01i6pByJRIGc52coUcnYqYA6di3AoIE9UJzw0L1jAvvsvj02G9oP7UQ8eXI7S27lyAk8hxkPswXj0s39hdz0783m+eefx5AhQ8zrNBK+UmMbJWYVI0eOxNdff232ER5nT7hsoaSiqTmECdBf86WLD3NmI2r8A2ZZIgby7ofj8MHYr7Gg1ENlJoIpv87EwoVL5HsPxI5JzAweiqTk0H9Ab7RrX4hEDNh2g17Yc7dt0adXgSlI8NIJsUeLJkkjMac6wTNEqp+FhFetH8ZkCJ8ht1ChpCjKaoRCqVJCVNwqe1L59T6/LAB+/m0BXnn1Xbw7ZhyqqmwsmL8AyWSFKe164oAj0Thcx4Ud8Z0xhRczB1cUkJeR4rXJGxzE86No36EY+QVRjBg+FIf9YQ9svE4PrNs3H5JXCFROsmDGIpk6HWDDGUDbgEKIosdxHFNDx2yhPsFz4okn4uGHHw62VCi1GGEuHOoN+QqpXSokWf/8WwV+nLoA9z/8DGbNnW1qj8pKK+BUBiUABvnN5IcAYn7vRAPNJJUUU+PvIXbnuWif6IjOHYtRUGTh8CP3wxZbboyN+hShVzteR25s0T7lOsYiEtWPQ7in4V82OyZZfuzWhgolRVFWI+JuJFPOeBlkIgmUil++69438eqrH+O36XORFCFUkWS9ki+GIqzRcD3WORm/a8l+zwuccCBybFlGUy6ikllkZA/dvB8lKaIqg4K4jT5dO2KPnbbD6ScdgUF9zNmCC8erkvNdkWsF5tptlTAb4DKsRaqP3XbbDe+++26wJVlpIiGitirYUlYUzxWxaYuM588gibNSEvFH4+fj8adfxDsffI4l5Q4qqJooZIwQtRChQKL+4Qk2hY7Yg/kZ+YfxXLmuI9eVY6yB5W8rwXXlOnI8kYgjHo9h5GbrYd89t8SJR++IQvnpKbW8tMQR0eWnCh//rg3BmE2P3dpQoaQoymqDzoZtKyb+tgRvfTQO/37sZUyetkRKvjbrjChdRB2Jg2Xp1ouIYxcnL2d5tu/cDWYf44hXN77YRZzFb8GRXRRLfmbCcxy5hmQSGUeubmPQOr2w//5b4MD9d8N6AzohL5qScnOqXqHEZ80dV990wiyBNUNhTROXbOjNXnHZWcYxxxyD//73v9XjLCnLJ/zmaqcrSnsei6FckuyX38zFTbf9B+N/mo+5c+bAEjHj0R6ILd+zpHu+uLbFHJhiKZTc6tduhHH5+iyoGTL24oslWLQJwieQc2Sfm65CQfso1l+nE674y5+x2dDB6NFFhFhtczBnhI9hLluzKnAr3ENMbH81B1ChpCjKKsa8JDNulK77nGufwbvvfY1p0xcgnRLHHRERI6VeTxy/60osCiU6WTeGqASPbSbo4E1DCtd3v8bpB0H2cZOZiWdeHQSqiTd0JUuRjMKT021mJnIfN+KifXsL++06HP/4++noXuyXos11DXxe//TsJudtAWYHFEiLFy/GggULzD425H7ggQfw1FNPmddsIRRHEyZMMG2alKbB1GnSExO7fM9+2rLgyOb7YyfikefG4I0PvsaSEknT6RhiiYgULMrkyxb5LzZgiT2w8OA3vq6tZKrFlIHxq2QnBRJTN5e0BZ4j8Uxc2g3TOu/lIhLLRyySwSabDsJ+uw/HX04Z5ZdZJGZoA9lCiZ+Ff2tsJPv+2We1flQoKYqyCqBbERcsCsXNiNOOFeDTb+fhgsvvxVcTpsJLiZiJsQ8Onakvo/y12liigMz+rEwga9VgRBJXjNP371tD4KxFgPFKbOvkZzCO/E1j/SEDcPFfzsZxu3Uz0Xz46o8wg6mdGeU6zA5eeeUV/OEPf6h+Bcd92dlEnz59sOGGG+Lxxx9Hp06dgr1KU6C4sCnkPUekjI2oiPfZpTZeG/MrLrv0FixalJL0HIFt2hWl4ZrkG6Zr/hZBQcH8DdJ2LcL9jO9Lmfrj1Y8pd8i5eSLQjj1if5z5xz0wqFce4lK4YI2r5dE2YiYiX4d7KJf9CQnROncJnyM3aFteQFGUVUMtfUIHzZoHB2nx9I6IpFvvfRunnXYzfhg/CxE7Ib5WQnXmW+NQQ/da7WYpfuoqo2VjBX9Dah8L8a/Cv3w+iqYIpvwyAxdcdCXOvf5ZlPKthHkmvqpoeyKJsDbpu+++M+t83Rb2dssmmUxip512QocOHcx2KhUKS6Ux2C2B6c6z4pLColgqe/50zk0459yrMW9+qUmdkaikT1u+U5Pu/e/er7XxCw0+tX+T+lnWBhqDPzXbAFaVAw//ezSO/dM1GPfTYiQpkhjBPFMowLgvT5a0l9xGhZKiKC2O78ZjmD43g0uufRLX/fNxTJm6GFE7D5l0xjTStiN+KbR5rpyEZ9V/Zk2mkvUveM3BcrBINxM8h8soFi4sxZ0PPY+TL7gLE35ZLLH81xRtEYoi1hhxHjcONJndsDvszbZw4UJceuml5tXb008/jVgstoyYUupHdKdJhxyq4tUxk7DFbufh7TE/orLCRjyRJyKJbYuq5Pvk5MP+ObUJ073/W6wq2PPRsiL47ue5OPKPf8W/nxiLRabNvhRw2IhcYMqwxcbZtjC0rtX1fKsbffWmKEqLQo/CPHXyjAqccv7t+PSLGci4GeM6ORBkJsoIftwawlJq4/B1XM0Famqc/PYW7NnTkMhhLsX7ML6cz/caQcNwFxWIJBLo36UYT9x+MUaO7MMT2hwcHoBZwuTJk6u3M5kMXnjhBVx33XXVNUyhgOLglByEknO+cX8oppT6CW3jnoffwd/vfRULZy6EFRNBSuVkVYoGMdWaTMWSKuOSpv3zQhrPrnkCA+M1FrdhzKtwuZfDZ3CTKCq0ccDeW+PhW05pA/VHy6JCSVGUFoDFTYoQjnUUxYL5ZTjvqvvwf2/9jJgjjtux4YiQcW1HMgq/PdJKI7mIyRKaLJQkHhuEWylZjUkGwJoj/xWbJSV4lyIq4mKzYQPxzO2XYtDAvDZb506BRFizQHFkauQk7Lzzzvjggw/Meph1cDTvJUuWmCXjK8vn2Td/xFlXPYC5cyql1EBbkPTHtGeLUDJCXtKkpE/aSfOFUksgdsrnkPvbrm2G38ikKxFrF8f5h+yNv154BNqbWW34ypUG4hc2cpk26gYURWlJ3JQ4d7dAxEcUJUngqjufxdOvfyoZgYuMCKiMCCTTn9mImprgN+IOt5uJyUiyzpNVv7apIeQYhZGbJ1HFubNozyouZgpRyazYxd2KYfy3k3DSpXdi4izJCuQwW1sxmDtl3S6XoeAJRQ9rj8KaoksuucQsSbiPQoqT46pIyoLpRJIVF77kFFOQla8nu7jipkcxd/p82cNCgyPfbwYWCxAmO/aFuxH9y0vKhuwIvFPLJU7TOy6obc2wtiuSQLoCuOfJN/Hwcx+aIpGXDj9dy913bUWFkqIoK41tRAZQKR70nv98hIeffAuuXSgOVlyMLQfoaVhCFafqCyO6WuNug0Cy1+vHj1HzLxvWL/l1TMvi6zMe8zMjj0MGmLhyQIRSmCnxhQdieRjz5U+4+pZHsKgMEN1n7lT7bm2Tdddd1wgn1myEtRtcst2SUj/8lpjSf/q1BMeddhl+nDQbsXg+U6GISzkgBQgOa+FZtI6sdNkoQaKtJkylYVhRfDvi+GNm3QhiXziVlmfwj9v/h0eeH4eklTCxl32O3EOFkqIoKw2b+6Ql/OPO53DdLQ8jnYqKy2eDUNkZ1Dwsn6Y6eMmgw5qklfLP/nMxL6hVcuezunL9dBrPvPQeLrj0v0hW+uV8PhnfIrZlOAEua5Cy4W/Mxt9KFkxGti95mMlWSOI55dzbMGXqHMQT8VqN5H0YszmJyxcwywb+HmHw97UUvBIb8M9f6OCv196HcT/PFJvg52i5e6ytqFBSFGWlyYivfPezGXjkibFS0nSk8JkneoPjJPnUOHK/zQMHf2So68y5Zmp/6mDx9Y8EZjBhaCgT4GuDmiDXN9czV+bKcjG1JOzVE40j7SXw1Itj8PyL480xFv7TGdYv5SZjxozB9ddfj3HjxpnvIXtwSbZZ4lQlt99+e7CnBgqn9ddfP9hSQly+axPKRGiffs7t+PrnuUiJ0k5nMkhl0nBFZjDUk9yXA9NwIE6Y/psUzIkrDO2MNsslRwB3ozbmLkji1LNvx9TFmepXi7mMNuZWFKVZ0GH4r8+I74UXusD+h16Jr76Y6U8jIkLG9+V+PL8CiOssZdeukSAckNs/JiumgTVrjbjPx4gi46zliFyM2x5rfth+IiBcq92Y27+nf3dew+z0n8A8m39Wtuiqdomm+YWHDQb1wcfvXIP2opRszpPFaSRykCOOOALPPfecqR0aMGAAtt9+e/OqjYKJNUk8Nm3aNNMLjt8RaxcooP785z/j7rvvNoJp2ZqSNgqTkOhMR8oKz735HU4+60aUVEgKFAFu0qFA8bE8stNkiJ80A+szG6EtyXpgawZjPMH5shDL8ddXAl7di8j93CgssT3bq8Spfz4EN19yEAr8KDmLCiVFUZoFHYYvaIwHNnrimnvexI23P4ZMFdsqRUUoyXH/sMFfGldLp+Mf42bN3uAvHbFkJp6DaMSGw0xZxInrVKBv3y7oUJxA9w4dsaikFPMXl2HWnMWwIkVwIzFT48QJP225Ss39wmWQuQQP5Asls2qoLZT8zMeWzCAqoojNbI89ZGvc+48TkcdqpRyEIufMM8/EfffdZ0RQWGMX9n4zwrROVsE4m2yyCb744gvTkLu+jL3Nwq9KvrrFsvzDMVfio08mIxrz4HBKnuBFTmNCSb7QYKUGkzIdUWCZSnRsL/LEktRp+7U9ywolzpUoFiW7Fy4ugR1rV+c38uNnnbUcaD/yLyIfykkYG4NVhQ5d2mP0YzdixLr5/sxDBl4x+z6tHxVKiqI0i2o3KCuciWTClDIcfsqlmDJ9vmSYIliM0OFLBYkiEY2eko3arpMuXxy8HDQ+3RzlPg9uOoqI7SLqpZFcNB/nX3QOjjh0d3TvGkXMqkC3WAHK0i6Wpmz8vsTFQUecitlL5UEiCcTEW6fTqeBe5gnMGvHv4+NPDSF/gp3MbHxqzolSJMgjpUUEdC5K4LF//QWjdhxojuUazAa+/PJLbLvtttWv3OqKJQ4smf06bs8998Rjjz2GgoICM55SiAomgUkoncEld72KOx58CakU0xoHkmyGUKqDSZlRUepVi/DlR88hwfkPRbjw+677KjpsO0RdwzeAjz09Gjfc9n+IxhNyjPFq0rkRQGatIRg/PId2HWPiQDwPSFZVYZ/tN8IzD12AmNhKlKOKmziUUrlTu6j1pIqiNB/xmZys1ooCH3/+E2bPWSQl5ripmajb2Ldp1DjuSDQqAiqJww/aFr/PfgM3XrEXNtvARr+uDnp2kZKrFKTbdQT69PKw0VAXX316C446ZGtE3FKkk5x7KriaKWGvyLP48HyX4y6J6CspKcPodz9CcsUvt1bDTHaLLbbAp59+ihNOOAFbbbWVGZk7/C05RhJfyW288cY47LDDTDumN954A126dEEiEfZ+UkKov2fMS+Gtdz5BVUVKBBJTYlCruYIwXaOyCsPW6YWhA4Ch/aMY0ieOob0l9Ihi/e6RmtDDwuAewODewLr9gANHbY4Cr0LsamUSMJ9AhJrHXo8ukpWVgJPB19/+inc/nAonUhHE8UVaLqE1SoqiNI/AY7AHmLhKbLLdOfht1gLYkQgyUnyNmPmf/FJqdi1ObdfpXySsUfJFDV/LSYYipe9hG3THB2/cgELxufHgxLRoll8mZ9ChQxQ9JBPISNyICJmMHEiJSDv9nAfx3AvvI40COLafLfklQf8C2c/CGqXsEb5r14KEz8bak4xsRRCz4ujTPYbPPrgXXdqALigpKcHSpUtr1S6xTRJrjzjHG7eVhmEd3GPPfotTL7oRSSdu6ldcm6NuU2gEaS2oxVy2tnU5VFnYcqMeGPPGdZImZVuCGetLbhgJms4ZUSb7g7sZHnvmS5x70R1w2MHC4m/HNO6n86bXKAkmYlREnwguK+nvFkM840+jcPMVhyPP4yvYUIzlThpRoaQoSvMRr8Gebo+8/AHOufwRlJWlTANP9mrjqzff/QqBf10ejMdxZIw7lkzEEi+/554b47EHzkXJEhejR3+AZ597G2M++loi5CEjpdi8aArnn3U8rrz0mOrM4JtJSWy57SFAXg8p3UrOITlQ2FqJmdGyQklCeLyWUPJL/pYZQYlCQUSCiC8rUoVzTtkfN/zlUPOqiueYzyh/w+sobR0/5VCkHHPGw3jqlQ9kF3tpenDZEDpLnEsC8hcmHTaRpIWRG3XFB6NvAK0smQKOOulyfDtxVvWceyaIPXF07aiTZ3TRpOkz4MXaI2rnB8/Am/qp122SBKh5Vs+MAOXKZYIeoFYEA/sk8NqT12NIz06i//jpSe50etBigaIozYa+lhLivQ9/RFnJUtlBYVLb3S/P+dM1V4fqiFxh41MHn33+GZ58eQJG7nw0zrr4bnw8fg68ol7IFLYH2reHk98fN97xIu667wNTeqdrHrZeAr16dDANWE2bo+U8QM1LkFpPEgQfyh//Ih6SkiNVSab0xTc/o6QyaUSSwwwp+Ke0RbJ+9+pVP2UxPX487gfYkXwRSZTysrcFkokbSUshIGl6llIAVYoRzl2QxrTZGfw2m8u0WU6flcGsmRnMnAHMmi0p1GtnRp7nI5gUK8naXyfLMZQghr9kTVGwNLVGwbbtYP7icnz34zxzNBctQoWSoijNwneVLmbOr8S3k+ZIrhCTUmSslrsNJUZQaK1e1iU7DhcMzFiWlOThzHP+iQVLEpI5tEPGzBdnwXallOrmI+1F4STa4YK/XY9FZSlTdqUz23OPEXAynBbCd9ghnhFxDAGsEco6XhvWbjHwqnyNKKVwnm/nYeIvs/HN1LmoykhWSLFkYnPG94aupeQc/KmpEeSP+dVDzRBAkfSfZz/D0ooSEf1VEti5QGIychhWFDOifCh4JElKEnVcBxE7H54bl3vFJF1yMl1Zt/KQjjqokvQZiRdIRI5IHzyCeQZaDAPtIlwPt0PCO2Xbi79Ok2CBQawfFVUWXnz/G3Nd7sml2iTCb0VRFKWZ2Jg9awF+/ulX8ct54iBDJxpQZ7MupkQrga/A/Bol86d6/7KO2z9urutHQCzq97757bffzDYfYd311pM1EUqcG0KcOK9v7mFi1OBfgXuzSsbVoQaTJTAyexvJ1rz5izFzzlLT4Ny00zAxqp9OyXWC5MGhulykZFOkcphMg4NMFU8/+ybKysokedqSFjk1SdgPrYWRC/I1mN8qirW6fIas9GxqfvznCl8PB0dqheWTHavm2n66l23aWdrF52O/Ms2u2F6KQxLkEubnVRRFaSrsCEVRUlbKsjNbSvgusxZms3FvSb/u1yjVXKOpPtbhg2Qc0zPLZEJy+uRJv4hXS/u9tWpd1792wzBy/XfOvgwbdk+dtsBkS4Qla3+Ay8aur+QE8jOXpoDpC4Aq5ItMiIDN/SnGwzSwqJSvpfOMoYSj0PuH+EeCH22loWRhmuegrkawBcFlDRPnWJT9XPeH6pB/WYWZsEASlDmaAW8YrAYYyeRFUVlShZ8nVfrz19UtOLVyVCgpitIsjA8UL/3t+J/hZcIGpDyS7UEbd5RGJHHpbzYb3jeSiKN///4m06B//uGHiVKCd5FJi4gLq6uWkxuE968V6nt0fkDut2L46pspZpc/uKVkE6660bZChaS0aYsy+Ms1D+M/z0/AUkkTSUk11UlG0smc+WWYu2hJdTc0V4QKX1FxXCF/KamMCmclYXoXHQTHScv9KdcolFxEo7yPCHhb7shRIOV/jY2uLLxYsBqQEeOzIzGULanAjxNnMwYi1eOS5QZq4YqiBNADUnIsn9DHf/3lBLgZ9ugR17+6/aLc0JMS+9ZbbYUO7fONI5u/xMVX335nmkf4Xf+5t0Vyh+oP7Yj4mvDjVJMZcJfN3Ke+d3tKTpJA2qSqdKIL/u+9aTjmr+/g8TfmYepsPwG4IlpmzZ0pYmmOqdUx4qRlFIqPXCoU8lywsqpXrx4YOnQ9CUOw0cbDsN6QwaLRbCQrys3I9n7MFnyGanyb4Ofjd5JJZvDDT7/l3Gs3osMDKEqbh+IoFEh0eawn8V0ry6h0h/5expEtx4KUl7Hv4Vfg0y9+QyRhS6mWx3xXYrHBdbC+TCPqcL9Z+u0ciJsVL6xpyibMHNguKBqXp+HkomVz8c24V7B+P0syMAv/99w3OPrUq4D2CdiZPDkpIvcPThRqX7Nm/7IsL6aFbl07Y8YXN5nv5t2xU7GoIg9WjA1Y/bg1n0rWq90rv8G1CRG38mis3eDzskHw7FlzUFpaiojppVX7O6j5GpetmQgr7OrszjH4ZbmIJ2L4fWElfptVLpIpIenWg+OlEbfT2GXTdXDG0UPx9ifTcOL516FySRKeI9+lqVGS89kQW74rfk/ZlZz+79A0bMfGiI2646PXrjM1SuyJv6Rclgm5plyHlVjpFCAaCd9/OwXnXno5Js8oEYXXkbFFWIWvyuVvIP75fP5T1Ue4nw9u6sKCZ5dzgp5vYpGIyGeLORmccNzeuP3aw+SbWR517xU8x1qMCiVFafPQ4YXQafmvEoz7khV2OGO5lIHioEz87oylwHEnX4Kpk2dIFMkwTDHSd7iWOE3iO1T+CUUC44TuJvuestUUoWQuJZm67SGScrDnjuvhqUf+hiK5JnvFHXHiHXh97M+otBeLUOLo3lF5hpYVKBQV3bqIUBp3EyQ/wskXPoY5le3MvHQ+8t0FGVAt12raMa098HOYbE8e0QglySyjIvYitnxv3G+CT/YWP1OtHMO/hCEUAbmILyfZQk3WOTK1pCsjEyRhZmSd07wkUhVo7/2G9YcNxXW3/wcRV85wW1YoxbwYBvUvwhdjbjF9y4w8l/NDa+K1eS1e05adHBD2sRc+w2XX3YN5SznsZUSCf7dQKPlzG/LM5SFx5aF5Rs2I97IUseTJ52I7vYiXwfHH7YU7rjmC/USXA8/Pvp95Yn91LUWFkqIoQui8spyWbNKHJsXXT54NvPfpBHz4+U9SWs1DUYc8TPj+c0z+6Scp1eYbZ8tB7niSL5S4HV6rcaFksiGJb3ywUNdthvuZwbjs+1+yEB+/+xC23LgD6/wxdtxS7HPouXAKOqHKWyQlbz4H59Xya3paCj5Gt64dMeOLW5CWj/Cn8x/HIrcDvEwVP4H/OYKnN7Vm4cddy2qU+FjM9uj9+Zz87biP2YEven3ML1izaeKaiAHmnODHyl7PNYzwkBBn7UksD14sH45ptewiZmWQqViCrh2Kcek5e+LTcTNw2ul/MzWtHtuvtaBQsp0I4tEyPHj/9ejXswifffwxnHSVeeXXtVtXbD5iBLp17ybP4osotmGiVhv/4yKM2v8CLDHjp/K55Z4rJZSCYKb4EQEmwZai1AnH7r0CQmntso36UKGkKIrAsifri1hpHkMmBdz72IcY/3sB5s4tRzIjzkz8K2cPT2UKceqJW+D6q67CxAm/S8m1Utxe6OolU6BQEgfqO5bs8VSyHSSdM88Jz/OP1GzVJsysw/nXbvzrCbjg5F1MCX/S1AXYctdT5RN0kOfMyC0lMHOSe/tjurQcfOou3Tph3qf/NHnE5F9KsCiVgcVRl4OH9PvgyaZ8mLD0vjZmBuF3yrrCwkKYqUn4zMzysuEnCD+FyS6qz+PvUbOZqyIpG1tUx6+/A9fd9zLK7U5IJVPYeGA7/GH7gdhl885mup0n35iIo869C3amrMWFki/DHTnHQbqK6VwsgAouIoE/WzKJhPyORx20Fy44aR8MGyQ/LFJw3DhOPfde/OfZMbATRXBTKdhxvoYj5on81QbhgzM187W8JHyTeCTUEUrHHLkH7v7HMYi5GUQ5yFO9hPdq6qde86hQUhRF4Is1ugKWgiOmkehz7/yCW56agHbieGHHgvFRHBQVVOHv5+6Os067Cl98PYM7zRXoxCkTagulMNMNnWLobpYVSssjzNRtqwpHHrYl7r72HBQFGuiYPz+EJ15/B140wTxJbhFElg/Blw0191x5ePk+fXth6phrYWakkI9aIvvaSWB+RcJMsGmfbO2AP6GpYAi/uoYevp6vMtzVFoQS+XEWcOEVj6B9x864+Kx9MLiPFC+CZO55Kbz20UwcdfrtcCpLWlwo8WwjvuUHMmvs2Wbu7fm1gcYA5PdMlWPjIb3xzdu3wQtE0djvf8F2O5+NSLueJl7zfi4+eF2hxN0ZuS9f5/HVWxqnnnwgbvzbgcinmDPFmPoIU0zznmBNEnoxRVHaLHRcdFp+oBOvEn+72VaD0LvfABEHbANEISXO1U1i63WLMLQzsE7PDpIHpMVZi0M0nj8M8tc4/9AhEq7XbNPJZx9tCGYElog09nKOpstx6J5b47arzkZcRBJnmvrrP57D/73ynmQERbLFbtF05izJso1Sy7k3Pqs/NpODzl2KjZCwgnyAdzGzsgfBzHlH5RF+5HqD/FmLArM/8+vxc/k/Yf3Ucyw8h99Drgf5ttBFktrZJ+yEe67dB8P6AkVSyDD1sPwuJVaHdkUoioucEJvha0zubUl4RY4hxuEpnEwKaRFC6VTaDInhOWKt7Fgh4uW7Cb/g/sfekgJE3PzGm284CDQcvmqrbsjdXKo/DM/3r2EEmnzOqBRMuhbnB/KopT/1moW/vaIobZ7AsckiLaFUVv9x18uYPXuOlEjTfvsMtsmQUvIpf9gaebK96/ZbIJGI+W1ajOPNDvKXu03mIZkwF1ks2xuuBv88CUEO7HEeOacM++82AvfceBY65VlIyT1v//dbuPHeZ+EVRiXj8Ad+lHKtXJXlW/6t//orDIWSCMONNxpkGnLDy8CWzIqZpC81wuCX9g3hx1wmhB9yLQqmvozLRgLbomUHc17bCBEJPdq72Hu7PuiccJGQz29TMcthzjEY9aIY2KsbBvbsJIaUlv1ygF9bC+EXLySVye/FoSlol9mh+meJSEkiXoBnX3oH/jBf7BkK9O8nyk6IBiPNN+fhmGzrxRQQPBTkF2CXrTfxn6PB2iQSGkHrQYWSorR5xGnxHZLpoWPju0lVuOD6jzDx93YoyIujZ0EBYlEbaSm97r3zTiguljPklB49u0o+IJlBusqUUut1uiYDpudsukMO8SwRQJL5uMnfsdN2g3Dn7RfIvT1UoRJPPPk5/nH9o8jLK5TnLpPYfNUn7ow1W2HGb+5Jh9xybo6zwG8hJXN/AAT5J19E63L5SovDdEZ1wFVJDN06A/nxBuyhBWB6a8yczCNJKp352+/Vqd+1UqLnMnCdFFLJKtnDi4RhJTAqzUa7dh3Qp39HdkwV+Iffwar7HlYnKpQURTEevlJExlNj5uHiW17EvEUO4pml6NdxKW69dluccNBw5KV/wXbDixATr0HH0bVbR3TqLKop6pkMwneOIcadV6817Ctr4mXD2qQIG4o6S7Ddtuvhkf/8A107RpAWL/zyaz/i4r/dJi5ftsXpW257uX7YcFSEC8WL/0AtBq9mx2LIj1oY3K3Y71HELkXcL5mByW6afcvws7fssyqrF/76/rx/MK+IC6S8sU7/zogkEkZAxMwYWy38G8vl/NfS9YcI7yvR+vbqZtJmWgoyGcQxY+pvsKO+rbh8ZSZhZWWMxcGbMkkUt4uhW7e8QFS0fnGUjQolRcllxF+ZTDz42xAL08Ajb0zD/176Boh3g5suwd47DMENfzkQXcTxjxpZgHOP3gXD+sWDq3jo07sLhm24vnhKNuj0RUPzCEWCn4mET8iG5NQ5maql2GXrYfjPv65GUb7fL+/517/B2RfeijSKIVJO7itO2ovJFfxrtCzht2YbEeQ6Dgb27YUNB/QwRyPBFBURyWxW/O48c1U8u7K6YCrhBCLhz8g0c8Jxh6KwsNCMWm/mJKw5vHpgG6ZkJc444zhOhyg2ZePHyYvlOZhmW/ZJ+OoxXhjHHw7cLXjhFtYk5Q4qlBQlV/Fz+Wq3Fbou7g7hviUZ4Op738azH/yEpFeAwnglzjt5FE4+bH10FYHiiYgqFt+62xYDUCR+lm6Ws4Z3KAS6d4ybgQo5S3rNlbPv0DDB42VF56ss2ZAbpJPl2HRYPzz98JXo363QOODXXvsOJ/7pMixaasMRh88mIJYbR3ZbDdOGw1zP/AmW4XrzMGfKs3CYQdM5OJNGv9490LdvkQjJSsmLGINdo+W+QTD4X1Aj1I3Q6AmrkfAD1BeUZQm+m+DrYXu5kcN7o7ioQHb5o9Zzlhs/ffBP3VB3q2E4qGNUDDIiBRObjbLlBE7X4weusz2gK8eSOOHIfbDPHhshT4yHj/Z/T74vK6xnalmcqhQ8pwqj9tjc3Mf0imv0k7QuVCgpShsgIy5MdEUtZ8xG259Mmoc/3/I5xk+LI5NJoEcHF2efuCF239hGscs6nCzfypoecbp+PYuLArnq+cftgc7tO4ujDB01IwY1MUHG0SDBcS4ovMJ+cBknjT4DuuChB65Cu4RkCrLvuee+w8V/uQNOssiMH1NZWgKnvBSZkqVwlpYgE4aSUiNoeC32Cqr9ievCO9MFNhDC57dEHSaT6NS5E4476lDZkYEdS0hJOuq/4jOvOyRaGGSXefMXnl8vdSNwPbjvGg3LfWhhbXnONRTYkzI7yL6IBJHr1QWRmKQH1tscfvB+ckzWInFTkeOnQr+pvy/u/UCjMYJ8OV897YpxN+jbEY/fezOOPmAUuhSKBZaUwUvK+exdkHJFtJSjKM/CmScdjCvO24cjopnzZyxw8fToj2DlF4volxuZLpv+8zcV8/z1PaMUknbcciP07ZCSz1sqV6SnMQeCsJwP1krQcZQUJSehWfuBfXUI+2Oxh0pGnCTLfGO+SeLWB95COr+jqKYyrNPdwd/P2xt9C8Sx0es34EP9Q362wClC9z32Frz/0bfi6Nn1OHQnsvRVk48453BqD8IStnGgsp+rJqrpQSXPW16Frz9/CBsPDLsaA5Xie834dcFlJS8ynW1C+KicaiUlK9fe9BJuufNpeBxBme2cDOYu/mo19e2rwbPSfDyhALY88AbrtMNn79yAQlax8WHMM0sEs2Q8Jefhb51N1u/O5BhuUp68OmYyTvjzHSit5LuvCkm3vuXUTSy0i/DlLdN2fUnJ3+9hl83749VnrzSPIeUJzJyexocff4y582ebtL7nqN0wYGAvdC2QCCKe0vIvE4th5/0vwefjfgby2suB2oZthH29d81GjhtbpRfh5wl3y0OkK3HeqQfjhsuOkKMVEmi1NNbQels/DbhCRVFaP6bsanyab+iWCJQISsS33f/0TyKSRsOLdEbUXYD9tx+Am/+6D7oXSOmUDp0nhRqjDv61fIdPd3j68QegICF+VM5zMnJx48YlmIXvYOvFOP8QXyTx1UHMiqJDAacfqSFfbpSQHRzYLy7+Nyo5R0z2xSKylBARkRWTwMa0ffp2MbOmm27bK4G5Pz+PXDduOzj5hAPMyMs+XJGQ/ZCKEsCUt+MW62DTjfpL8kki4vrt3OqFdhCE5cHDU2cswuJKP/Xlx4B114nhj8fujIsvPBp/u+A4DB/WC51FJLG2OCVhxrwYDjnuH/j8q0mi97vKWSuX5fMZjEnLP44rRoE3eEBXnHmyiCSH3iYq+/jpV+4+axu59WkURQnwS6l+SdWveqmQME/Ez0XXj8abY6eL2mgPJzkXpx+9LU47dH1/dGmJb5manUAsLRdGyGCnLQZhp21HSgmXokJcqV/8lWD+ZIXaVD+hiCOLJVNTg+Mh7Tj48NMfUCYl4qRcinOqZSTIbjN3VVJCecZClRxjTz3Ospa2baQkUNstLE3BzkuYHnGBa+ftGmA5x3kxDptQWY4N1uuOPXfeDB6nZs9m2Y+l5DKN/N5hSmfG2qkggiv++if07FZo0m5gXdVxQsLtuvvrwpqn3+aWYv1ND8ejz39e/Sq9Qq7Nzv58UU7L5b5FZcCfL7gd643YB298+A2sRHsxIg48uRJZftbD8R62lFRi8RhOPPZA9O0m26aal+OYReT48j5J60NfvSlKDuN3XK8QJ1qIL6ZU4t4nvsaCEpEnVQ76d7Jw2tEjsMngfFNTw9nGfW+dEo1AZxcxZcNlXB4vWb1ThIMXxwvvz8MpF/wDCxbMRyTKUiUxF/PXZEd2ibr6VgxyzLJLTEbgQIrDfC+XcdCxY2ck4rJtOYiaUnnaOONKxpOcJyr3YfdmXoP3YymX15g/b76IQHlyuUl1rRIFT/As9SPHwkyEDySw1RSVWVFxAa659FCcduSOyOO4UbyMHav1GZQ2CJNJ1o/P9FBbhnhGyJ99+aP492MfyjG2FGRiD4+SpqUgk74lmhUTu0xnRBmlJJlGsc6AgejaPYpuPQslqVpYuqQSM2cswNSJv8HKL5BkL+k1kmc6PSTktFTUEfPik9bA8kyTXr0xiI1wrkW2xeMDDR+xEZ69/xwM6CTbnOMoQkdiPmUTPlXrQYWSouQApsAqsFeMJ+LAOD6x7KT4REc0wvMfzcfDT36IeF5PLC5ZgOFDinHNhTuLfPIFUlT8W7Zjy3YKy3V4bK/jxeDI+Rde+Szuevh1zvKBSEzEjGmTEZ4dLv0rU9SQ0EGzqTlrkyjObCNq5FwThceDmqfgnBrBJXtko2ZbzjLRwx1sURES7gs/WbjMOpmxeS4zEosNwkWMSeY2apct8fD956M9HyudhGUyg5UVSvXdX8kpmEAkqYybMA/HnnY1Js8qDX7t4Lc36ZyB22F6kLWsJFGzN8CIeLEFLnh9wbLF4NgWz5zIwFTPtCyihl1BZb/5x1UeD67RXCxRRxx9nJIhk0mjU0cpQFxwME47YbcaO6Mj4kbWZ8gFqj+foiitF04ezsDSYugGKRrYHumWR7/HEy9/JRHawS1fgMP3XBd/O2NnFEikOLsZSzwWl3hOCP1co77OnEAXwrYJwJmnHoKtNxsIV5xoRIQEJxRhlDBkUyN8wiDiTjIO0wsofBjzELLC55NiryuOmoF3MyHodRQG/ykY/AzIl0lhqPtpeIMwkKzjzMCkBO6y1q17O1xy4WFmEEHzOHaidtQgNJ/wrBW/grL6CX+tRn+xMIKImU036IZLzj8WxWzIZybJjfnBtPBbPtQ+2cKJtmF0DgmStj98Bcc3Y7s+1uYGdifnmWEDTGTWtsreFRRJhG0Qo2IbHMwyaidxzME74E8iksLHM1fNftYcgl+1oiitHZYuJXC0ajos9rqZVwlc86/RGDNuLlwvD3F3Cc44egec9Ieh6J4vIonnieMzvq0BB9eo3wteV/H2vXoAd914Hnr364yqJYvgcoJOuUAtR78MdR23RA7E0eqh7v0JJVwM3Tt1wJmnHIVN1+ds61V+LPNx/Yere1bzCe+98ldSVh/N+rUkclSSy+EHbYlzTjtKBIZYCm1OhDhfnfmFBVpP/YSiqHE7aiorntb4LMmKSqSSZdh6i3Vx8VmHNkHq5QaRK4VgXVGU1gozcHGkrB7nyocTSnDtg2Px4zwpb0aLMbh7FBccuwN2HlEsAok9wsQ5i+fzZGlbbDthWuQEF2oi5gRzU+PEOVFn984J9FlnPXw5fgKWlIhSM336g6p/Rg/wa5T8S9Tsr73VOEH87FPMur8jONoAdTMM+dwi+rjX89LILwQuOutg/FlKzLEIELM4+rcg35WJy4YdAcu/T0PUvX/zr6CsORr8zcOf1diXpH/XTzestV1ncDcsWFqByVOmI1nFHppyzEpJPJ6UdbU6q7VD3XSzPLIu1ALwajH5s+mmfXHbP87F0P6FSCEpRYoauVR9x5a99RqnGV5RUZS1F0ekTsb0hHlrgoMb7nsDixanUSgKZt3O83DlOVtj4yH5Jh4iLtKS4SclPiUSXzP5rwJW3B3wTEohuvH9d14HZ55xJDp1Yz+62jTHza9WmGEZIojEHJxwys4467Q9URBLSjbgD7HgPz1FUriuKA3AmlZP7I1pRVZtx0EvKUTcesMJ2HzbgbDzknKMbYv86K0Bvrrrv24v/OeeK7D5Bl3ZqhB58q8toI25FaXVwMbOQdseUxdPDyy72Y4zAiyQQuz/nvoe7302XQRQTJzzUhy443o45tBN2JcMHqfcsP2aI9aL+Nm+jWhQpx9W7TfLd/MiwQlc5fCW9Cgpy8atD7yHa255BMkKB7GIedGHjCfSzBJJVfcm4c2FrNUmkHVesAz3mb81O2UHvz2zIsEfCZxrHJ4gwwaxbsS08jj1pINw+WUHoJ3EyZPnhcVnz74Q1/0hN8O7h8umk3090vwrKKufWskpWNYH45njHM+CdhdhG7ukiIsCjJ8FnH7+Lfjh21+RqVyMqM32dn6Xen/wSdLQ1eumm+WxMmlKLDmTRpyjirN3hviN7t3b4T93Xo4dR/YAp0+JmdrrGsxnDj54sMgZan9SRVHWcuiCwiB/U+KHxYp/F192/rUv441P54huKkDEKcV5f9wTpxy4senZRgdmixP2R83lpAvs+s8lHbhcI3BuzSbLG9LF06Fw0Md8kRHnnbIL/nT0KHRtL/Ijw/mgPEREBflCzz+nNrxYc0MNNXsDMRksq0NwT7MVNAw3coknVVaiIC+Ngw/YCteKSGJvZzMPuhFJpObqIeFazZ7mkH29FbuCsvppyi/mp7wgiZvIIjooxsUuS8Rev/h8Enr27IeNNu4JN10KR4SISxHPeHJWkExFjJhTawX524yw4ngc+IljhjkiiOTJ1+ldjEfuvxo7bdFDtvkKzpcO5pECwjtm78sVtEZJUVobtFjjlfw6jbd+KMd/XhiP3xdZiGQyaN8euOTErbBZvwhiUbo1IbRyOY+rPJPUdafcrruv6fDK2e6EI8cAT789BTfd/iS++24qEpGoCLmkHzP7RmbD39G8GqXl42cuNZjPTidvbidb5l6eZATtccHZh+GIg7cWkcdRpMwsXUb4LQu/Pb89E2nBx1VyherE4ZrX4Uslvbz0+nS89vlMLPw9hT7tLFx+/qZ4/MVvcdu9/4fy8qR/DgsSQbKMSDKjLYSXIi1pG9mYe4gUMHMXCmaSaY7yGrNxwD5b46yT9sZ2m/b2H5HHg+UyjyM7w2dcRY+6RlChpCitDH8AAEvkBvDku3Px38c+QqJTPyRTldi0fzFuu3CEZPMc/y0pJb8ET/Gh55LAs+safXBoJQmv7F+Nzxk2Eed0V4cfdyve/fhH8bJSgqbbCZ7FYLyrH7clM4NsocSaJF8gSmYUlafLcKzyFDbeZH088+B16NvNH1CA3x1fTrJtkv9MLfhAShuBtUhJJK08fPxtCW6660VYiS6ytxi262DrjbrislOHmYEbn3nrO/zl2vsxa9bvkiajiEQLELGjfq1OQFYy9pEkucw+k14Jjyx7tD6Y/ZsQbMN1/QFj5d6FUQt/Pn4ULrv4cBQFo2KEBaxswrvmMiqUFKWVUSFF1JIM8NAzE/D+l3MQt4rgphfgkH1H4sCdu6MTK5GY2xvTDjL5MK8PHGxdo+fhMMqKE17Zd51c8x0rXztYWLwUePbFb3D9nf/D4iUlqKqqQiQmD8sbrwahRPxxmOSeVfPRvUc+jjtsFE4+4WAM7JknGZgLm+1F/JjB07SFbEBpWfwCwjcT5uGl9ydg/OQSVHqdRBTFYDP9pZbi6P03x3Gj+IIXpsDz5Y+LcOud/8ZHn0/EgiUOLCngcPBYYxpBqIUcqL2PMUPDqfeMeqkRShKfp4iIyyssxKDenfH3847BgfsONRbgv6SuqUXNvroKJUVR1gJoomxl4w98O3sh8I/7xmDiHAeRSB7yMwvx52N2xK5btkM8y2tx0GwjmMR/Ghe6jHOtIXSx9ePfv3HCq9fEDZ+ZexwRd5wObroIpmuufwhffP09ZsxdgLTDEX854KTEl+fPLrXWvmvjz8AG63x7UOsJZMNkBnKDiG2hqDCOLTYZhMsu/BO22qQLokYg8Snly2JjrdoXUJRm4so/GwtLgctueh3TllhIWsWIikiyYhzIdC7+fva+2HY9pk7X1FxWil14UeC1d6bg9nsfxfjvpyBteqPWZ3u+L2ANqb/l47cQ5HYg8s0YZ0z/jE2rohziC2Vu+3DwfD4DrTRmOejfpzv233tPXP3XPU0HEL/Th383W67HYQ7qUs+unEOFkqKs1Yh5mqlAIkiJR/r8h/m4+5EJmFcaRTQeQf9eeTj9gCHYZL1CGrNpY0CDpvMyy3BDCA09PEaa5uR4f8ZsWuxa1L1pcAnObP7pd/Px/Fvj8NRL72LBjEVm6Bn6djZuhWQobHzuZZxq92/KruH16sDG2cSUeeX7Cl+ymWlRRP84ThW6dO+EUbuMxPF7bYZttt5YRKbEl9P4jfnBHwZgBT6logQwgfr2knFtlEn6uva+T/HNlBSiojLKMvmIO3Px6O37oYskNI6jzdGzw0TH3Hjp0qV448PxuOvZ8Zg4cRKWLpKSBRWLpE9jE4xn+XMxUhxFxF64N2P54xlxm50m4PJ9mTyLGauJnfkdMY0CuMafiJiTAoIl5xQV5aFfn0446Zj9sNc2G2JIv0IzaDg7iRhoUsEqyxBmGYRlqI4YLHMEFUqKspZCx+YiJT4nH+Xi2976vBz3PP0x8uwOSKeWYP0BMVx+2i5oL36NFUec/iMUSoS+qj7jzt7fNH/mi45l4dmNXKHWA8iGUW70+373eobJ08tw9Y33Y/rMUkycPAtLy+nY5YiZ6iEun4m1PRLMks5d7lnntpbDtlg2HDM2jeQqMfHykhHATWOjoeugV4corv/7hRg2uBCiL83pvJr/gCz/+zO7K8rK46eptFeFD38rxDU3v4yCaGfkWWUoc2Non1+G+27cH+0kjduoklTHd+UMPtQntAumzxde/w4P/99r+H7y75i9oBJuJCkHRRiJiom4tHpJsyKKslOu6UEXrJPqY+If6FNoP5bEKS6KY8NNB2KXzdfDRWcegnzahTlR4rH6N+gIQoUQXq9RocQnZ2QTsf4YrREVSkpOkslkTIkpFuPot8saLJM9A9ukrM0kxbGVeRHc8+gEvD12IpDfCbH0Ihy592Y4bK91UGT7mbx55VRPvXh9xt1890W3XR9NcIZ1H0Ci82rUMH5tjvxWEseRlTnzgPHf/oSZcxfj3fc/wYTJM5C287FgwUJUVSXFectJPLHaZcmSNUmRCGw3jnZFBSgsisKSzKRf327YfbdtsU7/bths2PoY3DthsqIoT5V78Vr+98WQRZ1NRWkOjqSrSMQvBEyaC1x662soSRbAqViEG8/bH78tWIKvPx+DKy48xEwh5JlR8SnSfT+UnSJZscpanTIpN/w4ZT5+mT4Hn331Hb74/BssmF+KqkoLlUkPZZUZ8RLiBaIinuwIUlVV8iAidDhOhyT4WNxCNGqhU4didLQ97LDt5hi++TD069cNwzfrj/ZiGKYuir3caE9ymiM2ZvF8Pof56xM+G5fheg2MGcauP0ZrRYWSknMwSTtBj5GysjIkk0kjloqLi82xvLw8I6IiksHWJ6LWNHxGPhebGHG+tvOufBELK+KIxBIoyqvCmcfujq2GxFFAT0pnZtrVSORV9lno9uvD3NRfrY8GPAvfCmS7U5adLdaJyU4KJv+Xg5S1gakLgS8++xEfjvkYCxctQcnSMhFY/n09+Q1t+Q05BELf7n2w5YjNMHKLjTCgH8D5RxmLZe6M55r2If6LCYGDSJqMyc+cauE/kKI0g7Afqp8uuZGUxbX/+RXjvp0Gz67CHjsOwFn7ryfiI4JKSdh5lod4TGzc1yXVKbE6Rco1wpzZjHFmsXaZLYyiEN1kxrD89PP5mD5rHt7/+Av8MnMR8jr0MT4tWTIX6cqFiMej6NCxEOsNGYANNlwXW4g4GtQOSAQ1qrRq/35co03IAdefK9LYKCPVIdzF5bKHzZnBalaMZSO2OlQoKTlHSUkJ7r//fowbNw6//vor5s6di/LycvTs2RM9evTAwIEDccYZZ2D48OHBGasZWpw4j9Dw6vMjPDbux4W49akpWLw4BdtKonunNM4+ZQ8M7yEOjWqCXo7tDSLc4Cs3TnC7KrxSywslXpGNSPmPy4QRSr4H5zF+Ip4ue8wdHCOmRECa/f6FuQwHzjS7/Iv6yC6zKSfwazKvFBh4AYsSTIrRvF8Y3+z3VxWl6TAVMhUzyVlwRemzpvKV937GrS8tknUPm64LXHLatugaqZC0yCbSgiMJL8IXYb7tmoKC/K0WSoLJmSX4ooX3sarFvpMRa2d65R+Js0jU09V3TcAc8XVXnrcbhvY2u80wHH5Fs38xPimvwjosv0Dit13isbBmy28zxdZ+Nb3cQsylgmW4XoN/D381K8ayEVsdKpSUnIDJmLVEo0ePxtFHH23EUmNcfvnluPrqq4Ot1Yj4JTZazogDoaOMGQdlIZXJIM+OolyOPf/RbPznmU+kBNoNcSeNzYfm47I/b2MGQwyyfnMpn9CEV8AjrcSpK0ON0/Flj8kgjHMVZJHtlLLjkmUfNZCH2ScFkfzshQQXNRvM1rgS7AvxIypKswj1uegek4YmzfZwzg2PoDJvHRRnynDp6aOwxWDKE9YRB22RmO0G4sf/6/9bHiapBvcwLRFZ/SqLtIRPJqdw5b/Hm6YGh+3YHSfu3dsMWOm/4+ZJYmG0L1M24Laf3Cmk/Fr1LBsyKz5+XZkf34/T2FPmJiqUlJyAyXj69OkYPHiwWQ9fvTXGgw8+iJNOOinYWtUETkdUEn0W/Rj/+g7WNlXqi8qAex77CmN/mg0k2iFSWY7jDtoUe2zZC938Cdskrt8B2HdvOUJdL1TLWdfQvM8cfN8GI8UUpcUJU5gFTkodxdX3foovJpUhKbrozOO2wJ4jO6A4iFMbY/jB+b5YWh419xG4YU53sdi1cdrlL2JBZgBS6RQ6Refi7qv3R5988YHGD7IeStI/T6ReCk7271bHLsw1/VXCOqjs+9au82o7qPdQcgKWiviaLZPJVIukRCKBTp06oWPHjqaklU3YiPu2227DokWLzPqqx/dAbG9AF8TKds62Rk/EsubccuCqf72NcT+VidgrQCKzCOcevQv+sHMgkhipyndXbY0V/9Rt8/tSVh9hCnNEkDz30Rx8OXEhnKSNbYb1xI5bdMjqz1YXP1365zctjYaixSCug5NPv/LRNPxeHoPtplEQi6DMycdDL4w3/ekcVisFl/ZsTh0U1ifVgTvrPZD9fE17xlxEhZKSE7AWqbCw0AggLi+++GI8++yz+PDDDzFmzBg89thj6N+/vxFUDIzP5cyZM00bJr62Wx3wvT/lke94fKeVlGf+6NsSXHT1aEyZYyHlZrBuvziuPGdv7L1VHhIOWxHI83FQRHnmhhxaNaHTayxeKyJ0081z1St2lqKsCON/rcJ/n/sYKa8IlrMUpx61ATrK/rzADlfWwzAVu+IJjNeQ/7weO3u8+9kUWIlOiHhpEzLIx+ffz8GE6aVGvJkTbZ7F2qF6nEKjfoLeyv/XVlGhpOQEFD0jR47E4YcfjilTpuCGG27Avvvui/XXXx8bbLABDj74YPzrX/+qFkgh7BXHsLrgnf27p8WJpcGWVC99Xorr//MRFqQ7IBKJYWi/tIik7bF+jwTctIe4PG/EFRcn1srhgtgLZrmEN2ks3tpEa3xmpe2SJS44vMWiNPCfV39ByumIqJ3EaSfthb7tU4g6coDDWrQQ/gszuWFgJ5N+AaZPLYeVysB1GNKIiq+oLLEw7qsyiUmhFJwTNBhfBu4Kg1Iv2kZJyUmYrBmyx0lKp9OIxzmAoV+jFPLll19ixIgRwVbLwKuHwRZJZEpjVDoBbIdJeXbzQ1/ji2/nSykwIYW+Uhy136Y4cJe+KJCoMYnD3lrGf3EARoGjJoX+LFxmw/vVt39ZGJM0LfaapOmfqTm0ns+vrD2wRsa0KqJ/sTjtThWqrDw88PwMvPTBTPN6a4cRXXHuscPQHkk5HrYP8seKr/EAK0ZG7m3kjidPIUn3q++XYmF5BvOr4nj4xW9MnJ03741NBhagQ0EEW23W1bRQoufwe7z5T1CT6pf/RP7nVRtZ2d9NUdZKKIbqDibJfRxnJFskRaOBG1lFr97o1Hx3I/cM/A1rhKYuBk68+Gl89NV85MfaoXOiAlecsy8O270viq1KJKy0iW4afUvwS5K+m/PXAmo+ioGbYWic5sVe1TT0FNWftUUJ77b2fH5l7ae6abMUepguM2KcX/xYghffmSC+JR8xLMKxBw3zG297cYld44NaIh37d/WvxELU5sPaY+dNO2D7zYqRdjxE43lYv18h9t22B7YVkeTf3X9m0/XfLJfF+Kfws2WhIslHhZLSZnjppZeqG3qHr9/4Wq5fv34tLpR4ddMrN+07Gw7nxrbY1Gjvjl+Ey255S0qCXeVIGj3zS3D9uXthm0EOiqQUGrXZh9c3zRVxU6HLW9bt1UfzYq8q1sxTrJm7Kq0ZtvQJiiti0MlIAk+8/jniBR2kQFOOS/48Cn0K5bAYfFgeC1NXS0iOWtcIkm40KoU/cV+pjINU2oElBUR6M/9wUEgTGrp/KJLCeMqyqFBScp7wNdw///nPYI+/j2Jpk002QZcuXaprllYJnj8oIl+1PfpeGW564CP8vjiGOBwpCXbFjX/fE+v2tBBx5Bk4kaWURP0G375z8x1czVqbxffnirLG4ACnhOUYDlt652MT8OMvabjpJHbdqhBbrleAuKRRyw6lyioiyzmw4pzlvmgkCsd1jEALPYVfIxRu1U8Yo8FYod2two+ztqNCScl5KIjGjh2L7777zrx6C+H+66+/vnpeuFBQrSjLnMm6cTuJyoyHmaKSbv3P1/i/N8bBLuyAgvhSHHvAUJx37JamPZIZGM5y4cg62y8ZnDbtm2qjX4SyRmDCq0l8xqRlydrhD38uw5gvf0EsnocOeWmcuNemfg83CRRSYa316oBTtIX4U/woLUnW16souQdftc2ZMwdHHXWUacxNIcS2S6xBevLJJ9G7d+9aE+euqFDyq63rliIteJEEZpWJILvrPYz9ahEq0xY6xEtw3h93xsG79kanBBCjdovY4lxZrc/mmiv2DISfIgyN07zYq5rlPkV4sMUeNfzcYVCUbGiDZlY1s+Vv87V9yvxlL7eHXv4SdrQIBd5S/PXPu6NHgWSoEo3tCpmmfDuW0GLJK7heE8hO2f7t6+4JQ0jd7Swa2N2WUKGk5CSsIaJIWrJkCY4//njMmDHDCCXuZ9hvv/2wzz77mLhhTVIYVgS6xXD2JPoyN2OaKeC1bxfiL9e+it9mRZGIFWCDft1w9Wm7YecN2qGwjgPifE8xcNpLOcBjIqC4CEO91DmQHb/Bcwx1Yy4/9qqmSU/Roo+YfccWvbCSE1AgVUqgFRP6hbSp7aV8uu2/72P6QrH5TBr7bN0fm/SiH/GjsdaJsOxlgr+5kgQXrw6Nw/v69w7X6guk7nY9NHI411GhpOQkYY+3O+64A2+//XatNkhswP34449XDxUQsjJCyTelmF/+lEuWiMh58K1Z+Oe/P8eiTAEcO4UN10ngurM3wOB++YiYGS0VRVn7oA+gfbJVNtsLct33C1VOHB98VY4fJsteL4PO+SU49rDhsLOaODJ2xNX+YrmECiUl52Cbo1QqhQsuuADXXXed2UcBxFdsQ4YMwYsvvoj8/Pxq8USxxMD2SyvaqJsCyS97Wlgsf/9x/xd4YfRPyETbA+WLccxeG+Cac0ag0K4QBxtW5yuKsvZBicNAX2CJ72D7Rb4fz0OZGPlDT3+AtAiobvEozjv1IMSYi4qOshglzFFVJeUUKpSUnIO1SQ899JCpTaJACmuNBg4ciJdffhnrrruu2c4mu2ZpRaFQ+nEucOJFL2D8xEoxrnx0yy/D1ecejCP26CVu1kEiEoXdAvdSFGVVQhtlLZIjviEYMykJ3Hr/55hfaUlBbCn23HIdDB0QNQPD1hJI1eZda0NpxahQUnIOTl9y5plnVr9+I4MGDTI1Seutt16wp2WhSBo9ZgYuu+sjzC/rhEzaRp8OHm44fUdsPwxIMAYrklx5Jq1QUpS1HIqktPz164mpdz75bAG+mTIPGTuCwX0Kcfhe/c2LOUOoibJD7Q2lFaNCSckJwrZFnPz2xhtvNOthl39Ohjt69GgMHTrU7G8ReDsRPE7aQZmUNJ99Yy7ue+InlJUkEPdS2G1ER9xx2XZYp2eecZOeFYXrWSb4vWIURVl7YdeMOFJSxKmQrZmlwC0vf4dopAv6RIArTtwRHUUlUUYFUqoZ0Hn4/qrp0Gkwu2ZQB7K6UaGk5AR8dfbJJ5/gjDPOQElJSfUI3F27djWT4VI0TZ482QROmhuGiRMnmuEDmteIW65tiXsU6/m9LILL7/kU/3v1G3GYceTFSnD2MVvgrBM2NG0XIrQwubTL61s27EgkeM0XOsvsoCjK2gKtlK2USlMijO58B5WpBGx3If4wamN05BwlEqEhS2ZYPs2LraxZVCgpOcOdd95pRFI2CxcuxP77728acfO1W92w4YYbolevXvjtt9+CM5oCK+SjmDQPuOqejzFhZhopK46ORZU478TtsN+2HVAgwsh2xQH6/8WhWlh2HLjQSTIoirI2wTGR+Jb83Y/mYdrvnLXNw7p9Eth3956IxsRqLRbG/FkYsy256dbcvNjKmkOFkpITsEaIYyax5xrbJrHWhiEcN4lheXz11dfBWlOI4t3xC3DRzW/ih3nlcNxKbLBOPq68cC/sOiwhR11E5N5mPCSBf1mJZNxis2quFEVZY4jNTpwLPPP6V4jbMXTpaOHMP+2OhBzi6B4ufYxYNYOS26hQUnICiqKioiKz3hwxEr6i69iho1k2diaHHXj83Vm49T8fI5WJo9jLYOSQKK48Y2ts2FUicKr/jJiV7EckbdojaZskRWld0A/MXwrc+sA7WJKKwPHKcMje66FPByAmpm0GlfTYG84XS417DqU1Y0mmor+wkhPw9dm7775rxA+Ttd8WyCd7PTvJm1onx8MfT/wTYomI3zGN+yVwWBRuudRSERtJWVz9wCf4euISuF4+nIqFOOnILbD/jv2RkEix4AxzMq8iS1bY19y5Ltmm13AsRVFWIaEZZpkgTf7h1+fi6fe+RUb8ya6br4OzjlwfRRLHiCTatonPDX+H/xLOh2s1W/WxIrbvT4pCKM/MRrBjehlw9KUfwRY/de5hQ3Dgtl1qDhqaeg+lPlQoKUoWoVCi5BEJZXq0OK6NidOBfz74EqZVFsByLXQr9nDGCbtji0FAAR2SmxHHWTOApaIorYSsHNBLu7DiNr7+LYNLbn0DVZE4Bna1cdMFu6FbIpQb9BAk6KlhoLeogfFa1gvwPqFQ8uuxgl2G+oVS+EQt/zRtDX31puQUmUymeliApuLyNZlxKo4xCH88XsItG29+9jtuuO9tzF7aSaIlsW7PAlx70e7YRkRSvpzqsarJXbERvRVFWcOEGkJchhW1MXsxcNN/XoWTKASSZTh2v23RnQ2T6mJcTG0RUntLyRVUKCk5A8URG3OHNTpNFUu2qQmiKQSvzgRWvZeKdnr81d/xwP99gfllNmy7Artt1Q03nr8NBhRz/BRP9FFGnGvoHtVFKkqrJDBfT9zAC2N+w7yqYuNHjthlCLbeMB9JKUhxRBBxKib68lh7PIFf0FO/tPKoUFKUWiRRJX9/KwWuuncsHhn9FTLRQiTsEpxzwk44/ZCRyJPjHJHXH0rSFefqGQfb9DosRVHWHLTULGtlj1huihB673sPL475CZYbw3rtIjjqD8NMDzczOIB5Hx/KoPrFR/17ldaOCiWlzcE3/R4ckTimiBgEvxapCgn8MMvDtXe8hW+mVMKNJdC1o4sLTxuFHTZJoINYTF7wls2S0qUlJsSObpyZRL2koqzlGHOnofrtfYzlc4Az+T9tEXDPE6ORiRXCckpw3P7DURST427KZJSOVdNGqD5jX7XDBIT3XPa+K8aqfNbcQ4WSkjOwqrxuqB/PiCQXSVkL2yf5ruOdb0pwzZ3vYsa8PKTKq7B+30L87czdsP0G+SiOVJjSZfXAkXJ9G1FExHmFOqnheyqKssahkdfRCPQGbGb437d+wILKKCorFuPwg7bGVhsXim17iFq2LP1hRGpRx9RX/TABxsMEYWVYlc+Ym6hQUtoW4iMsVxyfFwkkDl1hBIvEUz7y5i+46f6xqHILkS+iaP+t++KGc7bCoI6Q+HKuW+D7mHr8TEu4L0VRVh00W0dyPAYzbAd9AaqQFvt//+vf8e7YmbCcPGzcpyMO3Kqz3wZR/pkeZowfXKMBFxDAIyx4NRxj7SB8ztbwrGseFUpK28L3eeIbokAqz5QTF4mfuPaej/DM6EmIxNrBSs3BiYcMx+lHb4L2bgasfTcYNSSOhUGdi6K0Kmi+oeVynX/SyMOvC4DHnh+PgqJiRJyZOOOYHdBFfITl+bFN7XTwjzTN8luDfzAOLQjK8lChpLQ9Ak/pxIFvp2Vw3t9fxY/TknCsAnQpXoorzjsIu2/VDQm6Vc5qy0mfQl/Cxkg61LaitEo4XxsDe6+Znq0Snnz1Wywsj8FOV+H4Q7bDen1kp5g436L74igX7T38XLn42VoeFUpKDkNFFJTsgoVZiv5Ji3946sPfzKS2sxbH4boZrNc/DzdcujdGDACKI6KROP2/bUt0tmQKLkDvaoSSOhhFaU3QgvkCzQ66+NOUn39rFsZ+MwPJTAbD+nfEvjv0g+Wl4EaSErOmHqluaJymxVJaByqUlJwk7Nlm+vyy+y9XWZMumwvFTz705nw8/sIMLK0oQNquwC5bdcLNp22JQYVAjH400EWEzjXKHWzUwPdwajWKstYTmnEYCJcZy0JKwq8zgdHvjodlFaB9xMLpR2+GduIfYm5c3IU/Nj+7aTRdLNExhKH+GCsOn5wOjCH8NCtKw59AqR91+UpO4rsCcXaeKBtLkjn9niymlgMX3/Amnnv9Kzh2BAXWQlx83G44+4iRyOcASabGSEI21duyou2TFKXVQEsNg4+seRYyYuf3P/EVqlLFiHpJnH7SbujTXdxE1H/bTt/hyyNFUaGk5CxBqSlYZCR8O83BVXe8i6m/ix5yLfTukMQVZ+yNUZsXoUD8p5sWH0qPynMURckpaNqsH0pJWeep13/FrzMqkKlysemQnthsqC3HHFOm8t2GOgGlBhVKSk6TFO/IkZLe+mI+LrvrHSxY3F4cZgxD+hfiyjN2xpZDTL2TcY42S5L0j/So2ajPVJScIOkAk2YDL3z0GzKOjcJoJU45alO0FydgiVDyLLZI1IxRqY2mByVnocOrLAP+9dQU3PbIN6hMdYLnOBi1ZQf848Lt0KsTIzGWSClbPCgFURhCVCQpSquF1u2Xe/y/S8TU7/u/D1DhxFAZieCck/ZArzwgJuYf8TgxEbNEjrjPV+yK4qNCSckdAq/osp2RsCQFXH7bO3jtwylwrBhi3nyccfRQnHn0cBTJcb8miUqIa2arNkYk+c3CQ4fru1tFUdZ2LIdDyWaMZbuuhQpZ/vvJ7/Dr3CQyThm2H5bAlhtHYbPdIXNCsXeafE3T7bWJ8Jla4tnUkzUXFUpKTmBMP/AfrnjGzyZ7OO/60Zg8T5K4FUWvThlc+Ze9sdPIdiiQeNmyiJVKnlvHcbCHm1y1rkiqGxRFWRsR67TTsuQLNdf00fjih0p8+u1MWYujX6c808stTp/BuRuX0R4rK0ZWBXymlnou9WLNQYWSkhNQztAtstH2c+/Nx9X3vInpZR2RiVoY0j8P11+0G4b3c5HPV2wNEjqOsGdb/U6k4SOKoqwN0B9krLT8ZSNt24wT+9BTn8i+AtipUpx15M7oWsROrmLJbJzYJgk9mXqzxlChpOQEnmehUpTS/aMX4eFXvkV5MgYvXYHdtumJKy/YDn0LM4h5Dixv2SRvpigwM4gHYa0sTSqK0lTYysiB+AD5V1oF3HDvOMxYnIHnpLH3Dutj04GS+bFdksRjzLYHfRx9IYP6u8ZQoaS0CpZX5vE8D/NLgb/f+TleG/0tIlYeihNVuPCknXDmQeuji8SxMpLU+Y5NSpl+jZGiKLlFjZeg/InLPw4Y+f3UFD77eR4QtdG7O3DUQeshFrxuYwYYqfUiXlGWRYWSsnYjmobuj60MMvKPk4mwupxlQIYqOfj15CQuu3U0vp1eibSTQc+OSVx08s7YdSMbReIQ3bRcxIwix+S+nCQfViaZAlbNRv3/FEVZuwiEEstDElgc+nUxcOejbyFlJ1Bop3Hm8bvLUg5k5Giry/34+YLPqKxWWl1SUdomFEqO3wrJyBSOjcReLK+MmYur734fs8o6iRhysN7gAlx6zq7YYYMC5GUYw4OdkGRuNA+LkWHLzeU5nNoiKXu99h5FUdYOaM+0yMCuZVEli3sf/xrzK4thuWmM2nII1u8O5LMCKdrasj5+ruywMqj3ai4qlJS1FDoDjm9EcZQWeWMjwap0V4RKOo2ScuDux3/Fvc99jxIUIeqU45AR/XHDeduie6G5gPgCTsxWH+ooFCUXoJdgIcp05Qgmq3atDColZ3vt8ySm/FKCAjeKIf264YQDByFP37IpK4AKJWUtxRLnx6loY7ImwYvCYdcVO4HfMzH87c638N63ExGLtUN+cib+csJInHToYHGKUljMpOA5IrJaSAuprFKUtRPfNtlku6ZBdkr8xrQlwIOPvY1KJw8FkXKce+QIFEm5STM8ZUXQdKOs3QS1zK54xJRtYcyPFTjvutcwZV4GScdDtw7luPFvR2KbjYqQF2fDTBfxYB5cv0ZJJY6i5DJ+rZL8lf+O56Jcykj3PvQh3GhHeJnFOHDvjTGoV5jZBQ5FUZqBCiVlrYEujGVD/iOmtCh/2CgzKeGZt3/DTf8eg3mVCThuBpsM7oZb/r4L1u0jAklO4ZiRns3XdbJiuvkL/qUURclZaOvMylwpUNn49OtFmDzDQUZE02YbtMeBu/WQo2lw4En6ktaJFvjWJCqUlLUC6hk6MfZtq3ZnsmAD7gUVwP1PTMXjL8xGaTofsUgKB+6+Hi49aTi6oBJ5lmdqkGyJb7lxuViMism/hvoXRclpbDeCqJOHlG3jh1nAfU9+hlReBp07OPjjsduYF/i2lKJsLlu1Q6BPY1jZz0BvqyXI5qBCSVnzsAJIAmuFwj5pRjRJ6vw9FTNd/0d/9KOIoQq095biL8fvhFP3XR89Yhxzl6LIdxzhFCYt40wURWk1iLkvTgL/evgDZLz2cJamcPie66JrIX2KHLSiUuTiVLcqEHz4PWQHZXmoUFLWPNQ0YXBjkigjSMnq2J/T+Ms1ozF9fgT5BQUY0NPFZWf/ATsPK0C+y95wNHA6QVmyVonnK4rS9pCS1Rsfz8Vvc9Nm3sZdR66HfbbujfZRvsgXeSTOgfVJvpNRaqPfSWOoUFLWGlxHvJ2kSIqkt7/8HVfeNRqL091QWZVG3y4Wrjh3D2y2XpBozZhIhGLJH18JnAVcbV5R2hQcdP+LX5fi4Wc/gR1vh/b5KRw6al0UIClFLkdcAp0C+8+qe6iB30QYlMZQoaSsduqv7HVgRzKYm07jlmd+wB2PfS9OrzOSbikO3XcIbrp4J/SMc95vwVQkWUZQcfhJs9cVN8jhAxRFyVnq8x3zyoE7nxkHu7gLnPRs/OmoLTGkByUA53rzX+ZzPjf282Dls6I0F81ZlNUOq8JNDZDnIJPOwHPTSEvZb1Y6jnP//hre/XAmWLnkuL/h6j+NwEn7DUYe9RCLhCQoBNEFRsIkzH1c5TI7KIqSM9CkqXU4Tr/jOuDsRC+8PgXTFqSRclM4dp8R2H3jcMRZEvaiFW/BwSazfUJ9qmutJnzglX1odY7NRYWSstrxTVT+WjaisSgqrRjG/lSBv1z7Jn4vKaB+wqDuMdz+16Ox5ZBiJDzOBb4s7MHiV6sLaveKkvuIL2DvNVdUT8SO4ONvK/HyBxPEjxRiYEcbe2zdL8jUWBijpAhFBf1NsFqXViGWWkokKSuCCiVlDWAbR8deKBxP96k3Z+Gau97GovIicX4uttyoG645d0ds0iPoBaettBVFCQm6t3LYkP8+/wGsoi5wKxfjnMN2Qvd25pDgj9StnkNpCVQoKaudVODEFpdW4eanp+LJ0dNFEQ1AWrzaMftsjEuO3ww98yVCpmZaAkVRFCN92GeDo2+//AtmlUaQKl+EI/bcBCMG2pwXO6hzoURi8OudFWVlUKGkrELqryZm9/9F4uguumMM3ho7GUmnAnnWVFz2pw1x2KheKGCLbXrCqD+DpedpdbOitDXCF021rJ+aR9zCK5/Px7uf/ISoFcWATp4IpQFho8WgwTZHT2pEIoVaSnWU0ggqlJRVBNsISKDT4iorh2SZlPD5j+U48+8vY0ZJASKROIYNyMeVZ++LLYe0R0ziR837Nook30XqqzdFaZv4HoB/JUiBia5k4kLg8Te/QSRahEJ7Mc48YRTaRx24TnV1Us0ypM52Tdul1kK2qltZf8jP3to+/5pFhZKyaqE90rtxKant1THTcf3dr2LukjykKyowpG8cV523DTbqH0W+RIpV+4CWcAiKorRaxGf4HiAoaclGlaz974UvsaBMClLpShxzwFbYcEDCTGNi234NdLUGaEAL+CIp7A3XmmhJn9jaPvuaRYWSsooIjJoLSWVlYpdXP/Eb7n1xKjyrLzpZFk7cfWPcJCKpQySDWDStNUeKolQTDLgvLoTzPybln4Wn3vkdn349H4mUi/UGdcQ2m/VG3EvXzsma4EYoEyiUOK9k6xNMLQUFaFiKVZaHCiWlBakxOJf2J8mLHVRmlAOn/300Pv1kEuyCOKLRefjb2bvj6P16osDNIMoJK8NJbBVFUUKMH4miSsIvi4DX3vsWiOQj7SzGpSdvhR5FctgOB1irB18RNQAVVRjaIm398zcdzZ2UFcb4MAM9Ue3SiW1bbFKAD74pxWU3v4dFVQVw5HjfThW48qIDsPEQIM7p/j2ew2kGtIeboijZ0D/Iwokg6SRw90MfYlGZjbx4EqccuzV6FdZ4nmqalfe3ZZHQrC+qzaNCSWk+9E4SWGldu+Lar8jOyFqV6J7X3p6MG+97H7MXR+B6VdhieDfc8ZddsUmvcJBtSX62BFO/HjjFmospitKWCeZudCQ88dJX+O6XEsTsKIb2K8B+2/QRV+Eg7Unxq5ZSahxfHvg94lqXTFAHuaZQoaQ0n8BWKZHSIo1YH+QnJXFcsj6nDLjjfz/gP88uRSreB5G4i2MOGYFLT9wYheLYonIe5/I2F7IolBKyLqH1eS5FUVYSegJqnbrBzOUYAb6Z5eHFLxcBHfLQszCJC4/a3sz5aKMCcSmQsZNsvYT+ZBm/4sukeg+ttQT+sjqsDK3nU68tqFBSmol4JltcmJUyDiqBCKL0anxz5sawqMrCpTe+htc++QWV0RSKK2bhspN2xF7bdWFMOK4aqKIojROzopAyF25/cDQqy1MoqkzjhCN2QucuzOZdeK6oKDqhMBdT16KsIlQoKc2ESYbeKSZ+SdaD4iB91gffluP0S/8PC8tiSEQj2GBAEjdcvB+2Ws9GQcY1pcCI6cFLZUXo2Xg9BvVyiqL4cFLsUimPPfbCNMycbyPu5GOLdTtg43UTIqDSZiJty44bT+JZIprUfSirEBVKSjMRj8QeavRMIpIyEpKim55+bwGu/vf7qLA7I5OqwPD12uPq83bG0MEiqyROwrIlsdGtMdCrqWdTFKV+YuJiZi8AXnv/O8QLO6JHURQXnb412ifEfzhpRG1Ojeu/wKdHUZRViQolpfkEOseTkl2FLG9+eBLufXYCkvHOQMrGkfuPwGXnb4fCmAs3kzTTCiBCl8b3czxZk52iKDXQOxDX8Yx3mL8khX/e/RGqvA5IZ+bij8cMNW27bYcFrgLxInQqfkcSCiZFWZVojqUYd8P+av4/v4TmO6Bgw7Q/4gYXLry0AzcNTF4aw6FnP4Mx42cjLn6rvbsEN/91dxy6W19wTtuUJC8ryv5t4RU5/5ImOUVRlsUWFxGNWGaao7uf/QFTl1TBtquw+dAu2GHDrigUH2NmNmIQP2KLP4mYlo9+w+ymU+3dWhFhAZNhZYVha/z8axbNtRTjZjjHth/8Eh1N0a/YFpVkuumGhuUhGYvg7e8W47KbPoBrd4XllGOD/hZuvGhfDO4J5EXcYETd0Bzlr5nY1r+qoihKCD1CxPgI3198+mMpxv+8CG7UxoCuEZz/x22lqJWUI/RDPMNn5bwJ75Qd2hpt+bM3HxVKig/bHLFHmqn84R+OiBSKJC4zZtsTl/biexNx80NvYeHiAljJUmy/aVdccd6O2LA3zHxtRmDJeZGgJqnaHNUmFUWpC/1C8FZ+ThVw8wPPoSrtoVOxh1MO3xldY8yoYqAHokdpMqHjadDvLPdgG0K/g8ZQoaTUQHuxROZYtjgl20wb4DjipSxZemnZ55ffvv+2VI70Q492MZx+7PY4908jUWClxNdlgjh++wE1QEVRmgKHDakU13H/E9+hEr2lrFaG3bbojeHr+q2Roh7rull4U5/SMtBPZwdleVieEKwrOUj44zZuCozpitCJoCQFVEoJjzN1T570O6ZNm4u33v4E5SkRUWYk7c4oyO8GL70YiWgSO+ywEYYO64eOnQrQKw50zBfHFs2YNkpxSV41apyNDILVeuATqMkqStuCds/BJT+bDlx1w6vIz2+HAT2Af563g/8an4PSuiKm7JT4h6j4kyaW77NztlqOhQfqHmwdnid8avO0WR9jehlw9KUfwY7YOPewIThw2y7+gXqpdRWlCahQymHCH9Zf8pVY0OiRO8wKK7Jt46RY8z32q3n46NMvMH3WfHz97Y+YNXeBHLZRVeUgJSLJcaPgmCUWYigubIeKskXmMrGEh7z8CJKpDPp07IAdt90UvXt3woiRI7HtiG6Ii1/zR17i/XiGb6B8jPAZ/T01S0VRcpDQ4LMRo/9hThqX3fIGqpz2sJ3FuObCvbFZP47VJl5K3IYtK57FyZH8lpRNoq5zqUXdB2kNnqemPs14cm4EO1QorVpUKOUw/GHNCLbGIHyj4F82QXIc2R+zsbgSeOalsbjvoWcwZzGwcOYsIM7pRFiKkytwaUfEUdE51TYsk3Ak+XhyQSu4heeIM+MN0hl069MHXbpYOOKg3XDsYXuiV3uJ43iIRfzrZJtr7SsripKTZOU2rrgKCqBFVcAN//0YP04uR0b8x0F7bYyj9+qLfHE5YR8S379ke4y2Bj97KJSCIq+/y9A8oaQ0FxVKuQx/WSsty6h4JTEs+hebwsnFzDnlePCZz/H4Cx9jzrzFqCwXS+NrNQ6Ja6Aw4kLODVVQ3ZJcmHQ81kcJ5ny5n+vASnD+NjnE13PtOqFTIh/HH7InjjpsS6y/TgfT7iC8qqIobQX6F/oNGynHMrXZb42dgweemQLHcrHV+kX462kjkCeOwfgG48Pkf5t3FPwiVCitKerkfEqrJjCabJKlIlzEqDIOJ6wFZi2wcdNDH2H7o6/AzXc8glm/zkS6lK2JErAlDkfP9ocI4NJFxMsg4qYlpBDz0rUDWzTxGBwJXE8hYjmIRi1ERTDZGQlWMVJy/TkLFuOGex7FQafdir/d/Cqmzwcq5XlNzzrqrEBrKYqSu/h9Yql6xPgjLn5bCtz+v4+AvPYojKdw0J4jkC+HTMZUjz9TlDWBCqVcRvxRojiYlT8ewXOjv8du+5+K6276L6ZNnotkxpVSHOu/Oec/+6uFboztkLLX/eCXBmsHy7RZqh181cOlnO/ZElj6Ea8XtTFl4i+4/Z7H5DlOwWNPf2Yaj3usXoqoUlKU3CdUPzaWVNm4++EPEencBaXJmTjh4K0wdKC4K8mV6D3EmfhBUdYwKpRyjlDECOKTKlwPC9LAuX9/COdd+i/89nsGFRW2aJa4HPaQsRzTSJJCyeiZ6iBHRQTVDozbUAjjyE3NuWHw91nc72QQj8XkrvmYNd/FJVfcjxPP/hcWilZL8WWcRKEbZVAUJfegz3HEP9FDffBFEpOmlSNqpbDr5p2wx1bFZl5IU8yqJZCa6hFy2XPwCwmDsrpRoZRLGD/BF2wM/mLcxEU46pxbcPcj72DuYrYLSADRBBzblpJbQsyOfdFsOEYcWRLsIMg6S3YicFwRO64RQxRTtQNscWu2uL3q4NdDETbUtCSOeYUn/2LIg5eOwnLy4KQSKJMS5VMvj8XhJ92Osd+WQLSacZKy8KWeKiZFySnoHTiR9rgfF+DuZ18XH1SILulynLXXuigQfxGV8hL7epg2jMZ/MMifJkGHoWKpcXL9e2p5VCjlDJLwKVyobhA1A/4/895vOOn06/H2G1/KVgJ2TA5LHMcVkcNXXiJdGg5ReJ4sGYJ9bpOCXNfitYPJUMx7NT4TjTtcihwyjcwlhh3Be+98gONOvRD/fXMSUlRJ1dTaUBSllcNxkMqSUTz0yq/ikdojkV6Cow/ZFV27dg5i+NRIgeZm6ozLYpYKgeUTfk/6XTUFFUq5hhVDMhPB8699jwuuuhNTpswTO4ghwo5vTqkcT4o4YVuisP0Rly0cRAD55R5ZyoopEFYXD2Wds18Gr+scRyRZNA+z5izGRVffiSde+UHOEli1ZGbAVBSlNRN2rOayTMo+T770M36bVS7+yMEe2w3BTlt0MCOKuLT5ZaDDWBE0828c45iDoCwPFUo5gyR2ESL0NeMmzMHNdzyO2b+XwI4VIkLB4aV9gUT/4fndS9nImts1IRA52UInFD4mZMcNQ/bxIPBx6qFW2ye+pjOPHNQ6WQksXFSJK2/6N975aKYZGZxtGRRFaZ2IezBkvzr78vsSjP5okph8BL06WzhoryEo5CxJ4gbsBstFDXkUZcXhdxoGpTFUKOUMHB3JwpS5aVx+wwOYMHma6UhmuWw+Kf+MiInKdoGEPAmyLgLF7DOB61nBZW+1OvuaGMzrv7BVeDWh26S6yq7u5Wu6KGx5Bi/tYOaM+bjkunvw9a9LZL8mT0VprdDKw6IOrb28KoNnXhmDZKQD3GgaZx+3DboWhT1lFWXtRXOi1g49kNEcFn4syeDYsy7HB2MniOspQobtjFjtY+LIOkWJnZKQlJAxwbRrsoyi4kWWwZxqaoGc4LxKSTVVEj8pISWBMSiIwkbgQUPwQCe5coUweJ5cQwQbq9k9l3VVvL4kQYsTnFAsxWHbBfjh52k4/2834rv5STimjkzOM0vin1VN1ioJj9aJpSjKasYU0GRJz8LWhjc8+xV+XOwg4lXi6K2GYXjfAuQxYotlQ7xOdsg1+E0yrKxno7/OLsQqjZGLqSmnqSUCsuylXDzR1dc/gHFfTgIiCTkkwsJOy5Ld8yUqxYsxjuwr1An+u7TqYHq82VyKedrsGReVkJArJ2RfXAIbb9v+cYmb/S/EbAXHauBzmIcK1rngPelO5Xk9G19+ORFXXHWv3Is1ThHZyyU/Da8ZnJN9ySy4u4FDiqKsJoLuHEYkvfbpYnzw2WzZLkC3dmnsN6qHGfTfz4H8QpApRDUS2i7q0dYkKpRaIbVMRjYyohteeXsC3nx9HGy7GBbbJLFXmaktEgdjIgbiYrkwZhiISBJzGrdlJagmolChC+RUcOaocWASlhFEQn37qsl+JsYRGSTPbIbndxL48P0JuPuRd00PPgokxnHCcxq6pMAY2VdWlFwlFA9cVlVVmXWyVogKeQQ+xYJS4IX3fkQi2hWFXhUuOXtfFOSLRZvch5Yd1hYrrR2mu7Ui7bUwKpRaGaEI8MVHxriZib+lceXND6K8lF3bOOO2H4Ov2zgyti3BNNyWvc2B50VYXZTJwHbTsNxKILUYSC+Gl5RlqgxRcXIxSUYWX6VROdUxElYU2ebeclwuVTf4cEViiMCzbJFhttw3Uoiykgj+9Z9X8P3kCrmHiWE+de071I9/RUXJbZgpZcQ+X3jhBey333649tprkUwm14rMih01OJfbPY98ipnzU4g4VThk1IYY2g2Ih1lPlpGy0XdjQVl9uK5fPOWyqSEUSlzPJSz5UGveopRmwSRIoRQxbiiBe5/4DOdceS8yKRFGRkYwhjgit0h+YbYnYuV341BUhW2aKG7Yi99zXERtBx07x7Huuj3QpVsh1lt3ECZP/BVLFiUx8afZ+H1OKaxYHtKJoO6ITi30gGyQ1BQo6tw8uXGZnC8lTNMoPAEvL43Lzzocfztjd8Tk2TjZCl1sdQcZ3jDLf5r7C+pSlbYAM6SXX34ZBx10ULU4Ovzww/Hoo48iFmPxYnVS2/oqxPZf+vh3/O+5bwDHQ79uKdx8yQFoT+MNdFKY+6gGagx+UYF/le/X+Fd/l2FVTYpLET5t2jSzbAo9evRA+/btTbq0OUl6jqBCqVWTwbzSKHY76EJ8P3k2bItNI4Ofk0IDnPnfb/djYBUOhRBX+ScQRTQ8Hy79IQTyxMlWlZehXVEl7r/zWozcdCh6drYRFd9Leca233TDM+aU4fV3vsR5F98q6qUHvPw00iKuOOI3hZffSLy++8uSt5N95u5ciljyG4gzvuyVbUc86OC+7fH6U//Euj15nn+u7Z+1DDxe/xFFyT1Gjx6NQw891Lx2cxz/FdYf/vAHPPvss4hG2QhoNWEMkzYttsu+/q6FmWLKF107GvNLEygqdHHjBbthUGdxEywH8RyWhWRBe1WbbQrZQslsBl9kc4VScFITvvXnn38eJ598cnXaaqxmjyL97rvvbjReayN3JF9bIkznbhQPPvI2ps5YKOsUF6Hl8GelSKGkCUSKEJhXAI1O4souv1ebBDO2EZtne3DTSYwcuS5+/uEF/GHUMPTvYSMhjm1puStOWa4u53GqgQG983DS8TthzsyX0adrMZykHDRVsHIL80i8p3/f2vf3n8B/Xj6HRLbZk47bhPsyyIsnMOW333HtP/+NNJtcBcfCWHWpfQdFyV0WLVqEww47DOXl5dWZ0nnnnWcyt9UqkkJo624GGTH+SjHQy69/EQtLPMTsDA7dfyQGi0gytdQSLcxD1V6bA7+tlvrG6EHD0DCvvvoqlixZgqVLl5rA9eWFmTNn5txrN6JCqTVCW5G0uKAsg/c++gzlFVVSkqhbzd40g6oWK0aoMIG74usyiFsO7r3zUuTJdlz2Vsihsy9/EHseehH2Pvxv2P+YK/HsG9+iwomaRNRJ/PKdt54Lt6xSLkEnzevyeqEhNvA8Rhj5oWatxiFUJTkcATD+h5/wy5wKs88Okm14ZUVpi5x44okoKysz6xmx2auuugr//Oc/19wrD97WisBxbTz53lzMXszBPTz07xXHqM3a1RqFhLYbWnkDnkFZ5dR43LqEL5pYk1RX+PBYU0IusYYsSllpJB1+8fM0fP3DJHh2FJbpa1uPyzGvtNiYu5GfmkU8BrGJiFuJpx+/C/17JJAfc/Hz1CXo2HN33PXQW/j659n44rvf8PbHP+PQE87Dvf9723T/ZbPy3Xfsix232wxWhjVZcmu5pXGE5hlW0B2yCBoBpsyYix+nLxbDlX2yy1zXRFCUtgMzrlQqhe+++w6ffPJJsBfYaaedcM4559QSSWEGRzE1YcIEfPbZZ+Y8lvpbFOaJQb5IXzR9IfDMO9/CirZHp8IKXPuXndBJSlsWVZLYcuhqlLWXsIayrugePnz4csPmm29uajNzqX0Sya1P01bgpEiSjr//ZRYq+DrKjpmu+oGvqkXT/RFjRkSXRLDNVsOw1RYd0UGcm+tFcfWN/4OV3wvIL5B7iCAzbYnyEGnfGxdedgs++WaaOZ81T/f+6wpJVBVGGNX3PM1HnKsYbdKx8caHX4oByi51skobJRKJIB6PY/LkyViwYEGwF6adEhvRZsPM6tNPPzW94bbbbjtsvfXW2HbbbbHLLrvglFNOMYIru7agqbUAjOXVtW6z6WFBFXDFbS+hKi0+wqnC8QfsjPa8BY/zfb3S6shuazRu3LgGw5dffokrr7yyVvxcQYVSa0QcIGtrnn7uLaQyHIiRoqT+xOm7M9+1hVs+bDGU9Y81PqbmycHIEUNQEJNNiV6WBJ59+UMzuCTcNLyMi4jNe4ofzPB1Xzu89NoHImfkfCkt9usJDF2vt1yHMUKxxL9hqIH3zW7DFFJ7i+fYcDMW3h/zuXxe2azx7YrS5shkMhg/fnyw5bP33nvXeu3B8PPPP2OfffbBBx98gNLSUhOP7Zl+/fVXPPjggyguLsbHH39s4jYFxvI1j//PEIogy0VSLPfJ0T/h97IY7BSwyaAi7DKyC5Bio0ZG9i3buBoGrps9StNYO74xCiGKcC6zQy6jQqkVQlG0OOVh8fy0eE35CY39NGBAYUPtIIQwWYevxIxIosNLO8hULcTmmw1BFBk44vw++WKhOGYLmUpxtHKPeCQBl13+eS03D3l57TH+60m+dpHjhXFgs2GD5bAjxsN4HBm8vvsH9/afJNjjr2Vjm88le70IqirSmLugrHaqrfOxuVlnl6LkFMyUSkpKgi2fxYsXV2dWXPJV2+67724a2JKw5oiiKOzBxBol9lIaM2aM2SbLE02hbdXEkLVgR8qyMXURMPrjiVKoKkT/doW4+KSdEBM/Es3zJyoh4fl1g9IYa8c3xrSTnc7qhlxFhVIrhC5v0q+zUVHJtkAUEX5Y2WSal+DLM2CjYRuaJfn3vx9ETPZH8xKIRiLG4fq+VO4mIoiv/CZNnOoLJTpgWenapYsYDXesvEFz0EszR4p8viVLSvHdT7/491KUNgpfv3Xv3j3Y8nnppZfMkpkVbfSuu+7CnDlzzL6QvCzBEjJv3jzsvPPO+OGHH2plgvXh11ubumMhyDoiGQkeSiqAq28cDcftibiIo6MOGITCfDnEWQICaLdrLotXlBVHhVIrhOXBj8Z+gyUl7PEizkuUS9RZuZ+Szo8lTGQy6Nkrz7hEXvu99z6AbUfFOfM1my1OmM4vJg41KsEzo3EvmF/qe8GgS3KnTp38WqfllE6XxRdDdYPlRfzRwWU9WZnBx19wwl+Bl1avq7RBWOuzxRZboKCgINgDM8AkRQ/FDhtrP/zww9U1R127dsU777yDDz/80Ixxk5+fb8RWtijiiN6NvYJjbI5fRk/DdX8KoyiSYpuPv/Qjfi+TQpSzBLtt3R87jOyKmEQMi2+M6p+/bKh5CmX1wm8+DMvC9MBXbNnp4o9//CN222037LXXXvjTn/5kBDnTVVhjmd3mLZdgOlVaGUy202YsQrKKNUqSmGVHpLFebU3AFcea3659qHeM+RjxJGt20C6J0xLUuDeRU+JsPSeGiT/7Tjkji569e5l1TkVSY2JNIdtwgyCfy/98QDrtYM7CCp0ZSmnT0ObWXXdd08aIGRlFz9SpU3H11VebV2033nij2EraxB00aBAmTpxoesWNGDHCNOJeuHAhhgwZYjLAMGN78803a80VVz+0Rz9YSMOm7cveX2cC74yfDrbf7tvdwhlHDmZzxVqZS2jRytpC+Is0/KswfdStYXzsscfw/vvv44033jBinON27bjjjthoo41MGmpMbLdWVCi1Uioq6eDk5/NYFS7rLZE+xWl269bFmI6f4M2VxS9acGSbtUzGT4Y3M22QuEK3KMF1IHpK9vkDVja3l0vgg5cJdMc2a6gcD6XlKf/ust+/t6K0LShuBg4ciFNPPdWsh5nTPffcYzIuTmnCDI6BA1KyN1xYg8Su26xRYg1Uu3btzHmEbZw4R9xy4W3CEBRXZswB/n7981iCqJh7KY49aHvkmyMcQUlpOdYeZ8c0F6ansNbyxx9/xIEHHojLLrvMbOcaKpRaITSZNIVIhjPtiyixU0jFKmXvyrkmDlrZvWORqb2xrQiWLCoXg4ibmqEUR9wW1ULj8IUSJZSDVFWl7MtgzlwpVtI52yJqomI8UYnVAqULNgB32SDcduWZ5NrpitqJto7/UP2k5DrhGDXsir3BBhuYjMvYpdjb448/jlmzZpnj3OawAWF8xgnhmDesYcpmypQpwVoD8HReSkISeaDHefyt8ZjnFSJR6uGwrdbFjkPzTfkpozJpFRB8+Svh4ebOnWt6Qb7/PsP7y4RvvvkmiOmnl1GjRpnaS46PxNe9XI4cORJ9+vQJYtVQWVlpxDqHpMg1fAtSWhW+GKBQYW1SUNOzkgbkwyp1uZJcimsZM2eIXJMCSEqipoZHYhmhRG8oxBIcU8lDmoNMBrc3bwHZfqkZj+Nft55AkSTXInw2BhIeV5S2CjMyvv7o0KFDtVgKa5gYWOqnkApL/XXZcsstjYgKhdR6661nlk0hIeHdLyvx6XcLEZXTN1ovjhOPHMEZTAyWqWVW1iyhl6zxlKeddhp23nkX7LrrrvWGo446ykyNEzbs5/ASFFBs4/bee++Z9kjvvvuu6SnJZb9+/Uz6CUU4e2Oy3VJLFJLXJnwLUVoVdHt5eRFExUP5CTIijiloWLQSeHyNJ+mdfpUOtyA/X/bJtqz7bZRoDLXVD6vyfadcc/9MRryl7KPYag58xVc7hGZOeSQbIpjo/E1c81dR2jYs5T/11FPo0mXZSVCZ2R1wwAFmPKW6cDylf//73yaTo60zwysqKgqOLg/f8uYuBG5/4HWk3AIUxlI4ZJ9hRhpZpjqa/xuzfd+y1ZJXJct+v7/88osRNQz07TXBF9dsk8r2baGf5eCmPXr0MO3hCgsLEYvFzJLphW2TnnzySZNuwmsyPVFYqVBS1go6dhKnZmpaqCb4M7aEUPINJio2Yls22hXkmV5tjsPaIzo+P9R2gZYYTxRdu/qOmrVNpaUc68hGJCipNhmjjLKDf765I59N1k0DVrN3OTBiGBQlx9ljjz3w7LPPGrEU1g6FjB492vRSCkfiJswI2ZaEpf8MCzXCnnvuWZ05Lh/XmNU9z/0KO9YZ6colOO6I3bD1kC4ilFgL4RudEU1mrYmova4WNtlkE5NGfB3DX6j2r5RIJEygeCZME2GNEQMLxuE64fUGDx5s8g0GnsfXe7lGM3MyZW1hk003EtFQKOlcEr0VFR8T1visKHKuiJOpU3/zr8I/4u1YoqBNOZ4j+2g84gxlB7vtM/mkM2njOnv0ZFdl37jm/z5PDCoBJ+NvrxxyMz6APFsiLw/DNhxmatQURamBU5R8++23JuPKzsi4/P33380rOmaAzNRYI3D77bdXCydmhnwl0xShlBG7/+DrBRg74Xe4YuObbdgFe2ydDztND8Rx1jRLWZv573//i0mTJpnR2esLHKmdjf/rCu6GoHBqmsBu3WiqboXERH/sMHxDFHTqCk5CaWb9t9ljxRQTVhCe62LBvPlsiekHUSTF7dr7qYRTf7Pnmew0pQdxiJ5nI+NkYEc8iSeHTDnSRsniKtiOCDejk1ZGvPmfJ3D56NChE7baaCAiLaG/FCWHYGbVs2dP03bk0ksvrRZK2SV9wlcvddssUUSxcffyYXEogx+mleP2/72LlPgcp2o6Tjx0JKS4Jn7ICqegbCKMGYbaq0pDmBJjEFYMChv2mBwwoL8swzDA7GPo2LFjddohTCtMO9n7SJiGZs+ebWommcbCONnje+UKKpRaIRFJj12LRcs4HCtFjMZU8QStKFcG0TmRSAHMXJv0q7K93957ilWwh10gxIz6qTFW1hwNGtQHeWzd6aXZgx+zZi6UdUladYyr+YSv+eSv/M/LszFio16IruxlFSVH4atpDh75wgsvmIbczLwoouqKo5C//vWvOPLII4Ot5WEhiSiefuNrpOLdELErcfqxu2BdDhAurocDcHNoEJ33dlUR+lzf764oTA91RU9DTJ8+HWPHjjU1jxRC2YS1SGwfx3G6Qrj/hBNOaHKNVGtBhVJrhLpBfrk9dxgpzilI9EF7nhVHDMHNIO0k8OnXkwDOZpICjjxkbyBdIsdYo8R78H4sOnJbSplpB9tvvQkysoQVN1MZfPfjFHh8QGNcK2nYck9zLSnB9uvbETYHCOfn9w8rilIHtjvab7/98NFHH+Hpp582I3Mzc2TmxcAagnXWWcf0ZOIglQ29OmENkmtqkoiFJ96ejs9/XohUJo1tNu6F/bbrCo4EQoFEU2cZauWsXVmbuO2220z7Nw4HwDZtn332mekYMHnyZNMmjkMHcH+YrpiO2E7urLPOCq6QO6xs7qqsIdjg+g+7bgE7UykihjUvESnNsbRQe1bnpmIcnCT0WHFnvPfZ10hyh6SO7Ud2wvrrdDcJxfLiUpKMSemRvdDSiNJDphdjjx2Go8BKm4tMnwNMnTEX6QirYv1xnlYGN+M3Jo/EXBx52B5mHxuM85OpWFKUZQmFD1+jHHzwweb1COd9e+SRR8xAk+ypxMyO3cH5KqYhXL5ml8C66q8mJfHoy1/CjXZEnluKk3fv70cSx2DxtZ4qpLUQem3juc1Wc6Gg5iCknGD5+uuvx9Zbb42hQ4eaYSQ4PhdH4qYoD1/NcfmXv/wF66+/fnCF3IHfotIK4Q83dGBPDOrbB0imEYvy3deKQ4EVjeYhIwLnw0+/RBlnM6ATlBLjiUcfjHwqM9NQ008ydMaZ8krssetG2Ge34YhkxBgl7gEHHw/kFdN7SiyGZsBzsgMFEe/JhtwFMQwa0BVO9au/5RCqKFVSimIyMU6ie/TRR5txcg4//PBlXqX4sPaI/3wiXhQRN4a0mNw9r36JdKwQiXQJ/nrywejTo1DMS+Ka1/6+T1B7yy0oosPaIobGCt9XXXWVqU2qP221boIUrrQuxKF5DoYMjGHzEUPFQblIV1aaBMqxkEw1uMRqTnLlJLYZp1J8XgQTfvwNr43+Ho7YhNgHzjptX5xx8kFYd0ABErFStCvMoG/3OM4752A8+3/Xmtotz07g0Rc+x/TfS6odZ3NqtOrHgx2L80LYevhGGD60Nyz53MszxNwzUUVZOUJ7ybabZV63sfyRBWOyHxtbJj707Lf4YVopbCk1bbNpH2y2rl+j7c/+KPFo5sbUWYvMpdLyhF9yS33BjXvKSy65xAwbwZG52fuZhGIpDOxAwFdw48ePN+3dTC/p5fjn1oolHyr3PlXOQ6/mSIjg7fGLcPwpV2D+3HI4pr0Sf85gAEq+DmsCPMNj1VEkCStTLIs0OhZW4ZmnrsW2mw02jccrJdLvSxwsWFIm2xF0bJdAz04xuZOvtjn13IDNz8PC3+fCzssX4SUixyStphm3/wz8mw3H7ShG3Erixr//EacfNUKcdR0HH94iILxC43dUFKUavl8Tl+HXJ9F6+OLNxkc/JXHNv15HMtIBhd5MPPLPY9Ejq/Ja7W31Uuv75kawY3oZcPSlH8GO2Dj3sCE4cNtlByCtoXm/Gl/dcrRu9pgMh5RgDVPfvn3NYJTdunUzA1FSfGfLiZUvKK89qFBqlfgWwmlL0rJ6whl34InXxjNlyn5Oa0KhFJPtpgkl1x8YyQ9OFBHHRZ5cp2/P9rjhhhOw0w6boUjUEn1pdhVkEuWyXYiX35qCE0/6u2yzmMlGfVHTy8Y3E/5t3GD4aeoTSraTj52364+XHr/YTLa5TBUoT8m6PDezdzV+Z0Vp29BeWOyibfn2xYJYOeZWFuPKO8dh6gIWiEpxw1lbY/0+UcSXMcKQ0PpCGoyorCDht2v8WtbX3XyhlP078Wq1PSVlQSh06MspgrikQArh8ex4daVELgklTcmtFn+2N1aIHnPwrmhXIFvOig0RYJIz689dTjzgsm24ET1TZpbi8OOux467nY/bHvgYP/7sgYNuz5kPfDc5iQcf/hobb30qjvnjX+FG8iQ1+SO+msZ95sorilwkKU9gi1DKLMGpx+1raq6MGWbbYm27rMVyDimKUofak9jaqEQx7njoc/w6qxxOegn23akvNqZIatSwaPlhUNZuGv6tskVO+Jq2rkjKXhKuZ4dcQoVSayVU75Iet91qQxy019awVmAQE14l9H2mUokrcp1MVJwnVVh+D3w/pQQXX3kfhm97MLr0PwD9h+6Hzbc5FOdfcjemTquUk4rMfHBsEM6ed9XPtqJwyhSWYJKVOGj/7bDTVsMgMsx/Tj5g9kMrirJS0KT8V+gsevlv4d75Zgk++X6aOdClII09t+lvhgupJ0/NYrkHlbUK/lZhaBqh+Mk1EdQUVCi1RowQ8ZUCXRtnMrn6r6ehT++OssN/3dY0HVFzHfZg8bvyc9wiLsRdRivFN6bgJeJwEwWIdOwGL14MFHST0F1EVDHyiopM7wiLJ5lLrawRSWmEXZZFtXXr2Rk3XH86OK0d3w34V5abLPOKrjaMt7JPoShtiRgtJjArKfrg30+PR37HLoi4i3HtRbujf0fxDmzH2GTUApXcQYVSa4SKPlT3Evgj9uxq4dabT0PXdiIy0hnT3scyLQ8IY4QhhF7RDxaFl3GSPM5G2LLmRGBl8s21zMjcVgaOK0XKfI6jJOfYbIPkoCpdhbQsXbb4Ns8UPlEY/OdslPBUKwLPsdCpfSGu+Nsp6N1BCrXBJf1eNsFnqo5vtqrhq8PsoChK02BZp1RM5ua7P0NJRSG8kggO321zDBYbjIrpewkJdA7LpR6jVFoAfu/0ZwyN/QaNseK/UVusTSLMyZRWh5/Qs5Msq873GTkUZ595NNp3tBHxUmJSnCx3+T9xaDJ1kz9riPx/9VPfOSsDZZ2ZB0F8QH6BjaMO2x3HjdpYSrriGKr11so6CEVR6sNBUkzMxgefLMKXP5UhKhlit06l2HdUXz+C2B9bMPoZtaK0LVQotVpqixi+jcqPAhedtidOPHoU8hIikZyMX1vUTBp6s8X9jbz1WnH4nI6DaMTC0YfsgpsuOxRFoptqF2B486Y8AE8Kg6IojUHzm7YYePHN8WJhCRRES3HFRfsijzkEtZHJKdSmlLaJCqVWTrXb4oo4O/ZKueKCI7DP7lvDzlSIk1u2J1woNxiyaUwIhW5yVbjKiNw35roYtctI3HT5UbLONlI8UvduTb37qnpSRck90m4CV931KmYtScNJLsD+uw5Gn2KYwkq1GZlaZs0ylLaHpvpWTLYMoL5JBr9me3FuT95xGg45cJSpoWF3/Vr6R040ba+DC5g2SUGE7P0tQSi+GquJsu0o9t1zfzx/98noIJG5zVGBqz+lOZ8fMNtzK4qysrDV3wvvz8bMxZXI5LlYZ/1OOHpUb8hqTbMYmhxtsBE7VpRcRIVSjkA/xon1zYr8qpxF5L5//gnHHLktOrbz4FWUI+Y6cJNlHO5I4kT8BtkMFkuK8VoCqa5Yakzo1IcRSOJZ2aiaPWZcBtuF60ioysB25Wg6hfy8DPYbtRH+e+shsi3nRP1ya/UAwNX3rvNQ9cI4TYmnKG0TmpNpaSR/MhJmlwOPv/292F1XdIq4uOy0HcWCxAJphIIpPHFdzWoNEvq1MKwMTAEr4NDbMIEpKLlA9Y8Z2FK7fODO60/GHTddiKFDu8tOD7GoyCk3LCLKGR5raCixjMyq14RWyjQ9Xpf3kKuaiW5tEWdRxON5sMX79u1ZjBuvOgsP3XU22hcAcQ6/3eAD8Pww1PekZIWfVFHaBLQQ+gpXzGdRFXDtv97C0mQevGQSR+y9PXoUGis14ykZgUQ3wfVqO1TWDC35A4T+sz4fqtSlOm9VcpO4eLuj9hqGN16/HSO3XB/pqgrRK5Zf2+OKiBEhw8kvq6VHCztCL6vnnamVciOw+SowXY6h6/XBmLfuxUmHbYEiPoHNlwASzDNwna6aTxYSHF+uUFIUpVHEdCrFlN78bCYmzUmJPboY1rcIu2/d3hRrnMDGQisL3YJaXC4R/rr6qzaGCqUch2M30vH1KwCeuP/PuPaaC7DuoHWQoDhKOnA8B5lIJZxYaaMiyYirJtoUozmSutxohTjdcrhuBp7onri43HUH9sU1l/8ZL//vQgwoBhJStLVtccys3TI1XIRLhuwkynWOpuQPjakoSvMxtummMWku8PRr48X28jGwSxH+ft62yKeJiYCKIC3W5lsZ3UJ2UHIB/pL8sRn0V22M7FxIyUFoAnR3LB/26NgeF5+6HT5+53Kcd8EfMGi9TojFJYYrycC8ImsejYkmHvc4/1xG7iECqFev9jj5tF3x3qtX4bw/bod+vVnHz1ojxmUXNznBXLRuCDFT59baoyhKQ9S1H3+LNUkLkjHccM8zqEyJLipdgCP2G4pCmqC4ArqDWDohq5o9KApRS2gDhOUFLqNSXOwkK5efvhdeffwmXHHe0dhoQGd0L87zI2REuHgOIp6LGGt6eJ6IF5uVOxYbZXum8bcncSw2zHaTcL2UOGA5j1McsME2a484hpNtoXO7fAwZ2B3XXnIaXn7kn7jh4sPlXkA81GVmfrrsJ6wJZhBKwXf3vsP3/2bHUxRlWXyrCS0mhBYTF1t+8o2ZWFiVJ+bnYNQOw7Dz5kVmgm2OW2bGLmOQU9XC1iaW/T2V1YPlCcG60pbgry5ekBU+S0uBH6aU4R//fgxTf/0NM3+bATflICXFzUw0gkh+gQgjC/F4AsmkXwMUT8SRLF0iayKOYlL2FMHjcewjTo4r64MHD0KfPr1wyclHY+TGXZCQ0moexVE4DoHxyP6qoW4qlGPBI8qydj2SP9Rm7QE3FUXJhvYS2AzfqdPeZNOVxfhfXPz1jk+RRhXW6x3BpafthL7t/ai+ZSlrH/7v6f+i9H3+7xnswPQy4OhLP5ICrY1zDxuCA7ft4h9QWgQVSm0aMTxxonwtxx4w9KXzl6Tx2TcT8eMvczBnfimm/DYds2YuwazpJSKEpMwpYqddhy7YYstt8c1332DRnKno16MD+vbqhP79eqBTpzg23WgANttoIHp3yTdjRtLxMpXxrZrfuihwxdn1mfWlwiBafUJJZZKiNAZtRoInFm5lZC2OqYtt/P2fY7BUllVYjAtP2R27bJSPSNA0kFallrU24v+WvhdUobS6UaHUxvHoRGltliuCiYbIHnARI2zSDuDIkm/jgjdyxueeffWLWGh1hhVxsGHfAlx88kh0FEXkyHGWWPPz5Fy5qg3HCCWjh0SQ8VVatcSRP7Uccn2pMIjguwf/bJ9aZyqKUg+0G87ZaMzHTmFROo7/vTgFoz+cCS/j4YhRfXHUfoP9BtzLI9s21fTWEL4P9H+KwIv6uwwqlFYt2kapDUJzC+SRmJstGilCnWT281VaBBkzGW1BxEVx1EXHPBddizz06AD07AScfvyuaBddJE64Ct/9PB233fMxps0B8vJ9kcRr+33WImasJJutQ+U+niViifZdn7Nt1AEzQhgURWkM38oFWWS8OCZMcvHWhxMAsekNBhXhwL0G8605Mq6UcJaHmpzSxlGh1Cah5wuKImGpxON4R+x6zyDJwmgSOSAKKmxWzcpHD2nsuFkxHrz+D+hRnBSnW4xvp3n46y2v4KvJUqwRmKiicmpMHLQd1CTxFsZtc6UhzD39VUVRVg5aqymUSPh1uou7/z1aDLMdMunfcdxBm6F9nDbtIGp6amRRn42qba5h9Mtfk6hQaoPQ5DjyrjE9pgBT/WMhhqiEiPxlx2D+i0iIwrIiEiQ+g8Sw3Ep0FRV05QWjsOUmfZCOZrAo2h7X3vcFRn/+u3ldx15zrO7nlCUp20NKbsb7RYx44o0pm7JDlndmRPNwPn5Fc9YORVEahaadgoMl7OX2zlwszOTLVhWOOWhnDF1HrNzLIMZxy2h+IXVEEjfr7FLWGPxFGVbWF+qv2lxUKCnNtjvLzhc7szG4OIGLThqGQ3bvB6d8PkqcNP71+Djc+ej3qDRzH8TBcSQ5Zxu7HptyK/+YWipW92cLJb+FVPhPUZSVg2OTuSKE3h23EB98/SM8x8WG/Yqx1zY9kMfjVrQm720QP1PN/qfkAqFYCoOyPFQoKc0nKIFmXFcEUBLH7T0I5x69PfoWVcrePLz3xTRcdsv7mDmbLZ6YxCz/LZ6s1ZhkmPSyjdQ32gZ1m39YUZQmkEwBk2cC/336M7ixYsSwCCccsi16ikqi9blindWtFZdjWyqSch2trW8MFUpK8zF2JQ7WTiMh7rdAtg7avhuuPfMA5LsLgUgcP892ccmtb+HXpeKw5TjbSvgDEdDx+uLJp8ZDc4+arKK0DGUR4H8vf42lyfbIJCtw3qn7YVhf2p4oKMG3N9qkWl3bI/S2+ts3BRVKSrNxxLY4KwnnguIYkuZtmmwP6AHcecPhGD6sCzIZD0vS7XD2NW/hubHzwLomF+VyRvYrN0VRWoL6KoSeeX82Pvp5Dtyog21GdMWWw/L9198cD00wXSxYgvHHkFUUpQFUKCnNgs6YiSYibtb2Jz3gbgMlUJ8i4G+nDMeobXuiMrMQSTeKB54cixv/9yWWohiOF4HH2XLpsoMuOeHYTf61ghB6/uygKEq90Gqyix8TJgJvvzUBhbFieGVzcOYBG6KYg5qRaq8vK5bYXR3TMyGAnSjY8SMM2qliTRL+wivrDOv8yEqjqFBSmo1vZvzL5FNjcDRh9nYrFDs+7chhOPXYEShCCfLEWY/9Zi6ue/ArzK4QQcXTOGwAq6EEtl9io+/wyoqiNBOxIWafNKMq+fPwK19icbmDhFOKy/98GPp2qc/ZB3saNbnQLtU21xwrK46UlUGFktIslucq+SrO4GaQL4tDt+qBf115AArcxYhF8zDuhxKc+tcH8dMsv5UEJ1Uw7ZU4IKURSgHqExSleYjN0DZpV/c8Mg7fzylFxqvCNht2x44b+G6eJqampSjNR4WSstL4vWHMxCeyZJLifCbiuGWzXwfghr8dig0HthP9FEEyMhBX3f0uXvpksQiljBkV3MDTeLp6ckVpNnyLTUv6bmIKr41fDMeKo0exgz8euDkK2JBQUZQVRoWSstL4LRckKXHsJMuFF0khE6lE2qqEI6Xafp2BK04fif13KBIBVYb5ZRn89/kv8L/XFmIhi7kRqir2jauHsMY/OyhKW6aewgTHdy2R/Xf/37tAPAFUVuDa8w5BH075RbOURdgUSVGU5qFCSWlx+DqNI3pHEEfEiiFheSiU/acfNhxnHjwc3QpTqEgBT7z8Fe569CtMWRyRErA497BDnBFEHlyKLllVFCUgNAhZcjXj+l3WUqKC/vXod5hXIsaTqcQeW3RBXymgKLmCcYpZYWVgylHP2hxUKCkth9gvRZJlJkGJSRDv7bF/nGUqjQpFBB2wdT9ccvIotIuXw47l46PxC3DRzc9hntitQ5EUQDOmbgpNOtuss9cVpc1Qxxg49yI9OO1k3KQKjP16ClzXRudEGucetxny9ZVbjtESIimkTmJSlosKJaVFadCUmdIkRKLAJutEcMffD8LQwd2RjsUxp7wTTvjLaLz5cwUy1FYSleNzU26R+kyZmkpNXGm7uLAt30oWydYD//c1Mm475FspXHjyfoh7qUby1DCTVCtqu2gaaCoqlJTVR1BjFBMH3qc9cPO5G2H3DbohTw5Uee1wy31v4qE3Z6FE4tB0OcGCmrCiBISlEAaP9Ug2yuTvdbe9iN8XZOBYLnbddhA268dD4to1D1SWS1B6Xb6iVgQVSsrqo9rJ88WcZ8ZbuvhPw3DSHzZFoTMfkXh7PPHSl7jtP+OxKMm+czq8naLUgl1JLRFJnoVMGhj3VTkm/eYhJZayTncPRx00FHZMjIcT3ob2pijLoAmjOahQUtYMrhiq+PwY2y1t1xn/vOgAFEZLYUcLMObruTjrspcxdY4/u8KyhWItJittGI4FIEKoVMzgnkfeFBvpjG5FwFXn7ol2kWBsskYJVZRmmK0H+j31fWsCFUrKqiXbH2cHpjwJloTCODCkF/CP8/bE4P7FcOwoFrqdcdHdH+GNL36BFJyRcUInkZHTa0+ru1Ko71FaExzR3rMxT4zirw+OxdxoOzhuJY7ddiB65gFxsYqIad7NoSezekcorZzQUbWEwwqdsNJUVCgpawU024G983Dt2Vthp806mdnOF5cU4bZHJ+KFDxeLeJIYLEl7nLBKk63SNuGAGWkxg3E/AJOmlCGe9jCoSwJ77NkPLEs4fCuHhMTkPIxqJ4rSEqglKWsFFEqUQJ1jwDnHjcCfDh6BqLUEsXgH/O/ZT3HrwxMwO2jlzcH1FKUtwvkRJ88CHnjibViZPPQoiuKSs3cSOxFnHhEbkqAt+xSlZVGhpKwFsJtzzcjBnUUxHbJzJ5x5wlaIpObCtfLwzrhZuPT2DzAnCaQl1epQlEpbg+MmlaWBWx54CSViBPl2CvvtvCG6d6TdsDm3X4LwZVL9rfsURWk+KpSUNQwljyd/uXRhBdVFcdfFvpvFccNlB2G9/u1h2QX4dUEc54pY+vSnhXC8MFtYSZiraAFcaQVYloU3P5iEGUsSspHA8GFF2Gu3rohXW0LoztlGqUKCP2q3oigrhwolZQ3Dkbz9YJIjW3dLQdjmODCIYJPuwHXnj8C6/ZfK/hLMnlmJv9/1Ph59bw6qZ4cLC86SX1SLJ+4LC9XZIaDOpqKsdbDgYFJpsPhpAfDg81/BsyLo1s7F8YdsjfayP+ayRpZtkkJYN1skgS+zldyApbnAR650yU69X3Pht64oa5xapp+94aZQkPFw/Tn74vh91kHMqUIsvwuefOUr3PXIj6gQe5fDcNjJR+CpZphKS3KXSLVsapDQZTAoytoEe3eC05QIcyqBWx98F16si5hEJY7dZyj6dpIkbvJNEUbLJOCWyFCV3CX0esskHKUeVCgpaw213DrtV3SOZ8URsy10igHH7rUerjz/QMQzCxGPFuLj8QtxwXWvYfoiiWc6+dQYvXmhx4H5luMIQjfRcAxFWZPQPdumTd5LH0/Br7NYq5rCjiMHYqeNusKtDAoCoeFkJ2hN1EqT0cTSGCqUlLUXsV+jdYjlmdG8t1vPwz/O/wP6d40g7SXx27wC/OPu9/DxD6WokBzDEYnkSCnc8yJwPc4KqqVqpbVimRExxk1agudenww3UoT+vWwcf+AGKBLPnRfz3Xfj9aaKUhf6xeygLA8VSsraC1NnVDIC2xEBRMVkwXYtbNw/iivP3gGDOqWlgO1gxqIIbn34Y7zzTSXKXLZ3chDxMoiEIstA1aUlJ2XtxLwuNqE2s8uA2/73kZhCEaJeGoeN2gYDOnhwwhKEqCR14oqyalEbU9ZOgoKOn3VwZBgKIH8f+7t1yQeuvWQvHLrP+vAypUilC/DgQ+/jf89PwqJMDGnOdWUmDmWL7poyd5gVBZevFRRlTWGEEpOpI3/Y89MrNxPe/t+rP2NxSQEyHocCGIYdNmsve13YrCwNx9MgmojbAKGYDr2YsrpQoaSs1dD328G/cEc4l1X7uIuj9uuDEw/ZGglXxJITw8sf/Iyb7v8E0xdIhIjkJK4IJdMgtiYnCd1MuMffqyhrjpqUKWnbkyBC/+Nvy/DWx79IMs5D767AoXsOgJQPhKgZKsCfINfsqCFM0HX3K60cpo0wrCyaQJqLCiWlVRG6CWPqkqEw4zhox864+PRd0KmLAy8ew3eTK3HbPe9j0uRSEUpS9PYomCRilo9pCXejKC2FxcZI9MYMkjh/XRjBI099hEi8vQilJTj7yJHoVmCiKoqymlGhpLQq+NqNoxB7DBwCQP7HJWy1XgHuuHwU1u0ShR1J4ZclLs679QOM+RJmCAGjlaiuZL2+griirFE42a2444wkzEpJq4+/Mg2lVcWwnVIcvNsQbDaw2Lxpq8EUFfxVRVFWKSqUlFYGk2xUsgjOke4iZbv+mwrbQ3E0g6su3B27bdkHqaolqIx1xM2Pv4cHXpiISjmLtUjanltZKxHNw7TJFnWvjl2A98b9hKRTjiF94jhox8GIBJqoJvmqSFKU1YUKJaX1QWVkki5L4S4cEUnMQGxZ7xhP4fTDN8IZx+yMfOt3JOMFeOPjabjstjGYUx6cRuQEnuVPoKIoqwumtnDI+BBXknLGDAUwfR7w1BsTEMkrlvS7CH88bHt0iPs93Fw5hUHddluEwjgMyupGLU5pfZhqIQ8RcRoJRE39EvvExd24CQnJd/YZ0R63nrsDuuSn4Kbj+HGyg6v++SG+mlRqfI2bCTIfdTzKaoXpjsPISyI1UKhnZMtBlWw9+Mw7mFdlw85YOPXQHbBR/zgQjZjYTPVMrdkSqza+XSi5SiiUVtZnaTppLiqUlFZLQ+6C08TF4xEMGdQV/zhvZwzuJTvdFGb+XoZL7n8Dn0wtRyZGmWUhKv5iZd2OojQdtjRKSKip2mQ6zHgxPPb6L/h2chUKXQ8bDyrG9lv39mNIGs3O1pafXhmTsiqUVopSH5pOmoMKJSVnMD2mJTBj4dy6tP9+XYCrz9sJB+01BG48jYzdGTfc/QYefWUiFieBDP2EECwUZRVDmUOxFModJtQYfp1r4833JyAab4d4NIWTD98McYniSBr2X7fVpG9FaRmYmMKgLA8VSkruENh8dmbC6d+6FADH/mEgDthzE8TdUlR47fHE2z/jtkfGYW5l0CvOvBJRlNUBlU+NNE9L0rv/8bEoy+SjqnIxTjtud/TtDkQlHbMRd1S8tAokpWVhggqD0hgqlJQcR3IhyZfyJV86Yc8BOO+47VBU7KA8Woz3J5Th+vvGYs5iuovana8VZVXgdyBgY24Gnxde+QnfTy1H0o5jsw17YsdhfDmXkjTpdzTQ2k5FWbOoUFJaISwFMek2knxNgUkEUBA1Idu7btwZt521JzbsWIGI5+GnmWmcduVT+PjnJNIcxFuihplTuF43KMqKQ/kTk/QVNVJp/AwX/xk7DalYHrrb5bjkiJEoSAMR1zJ9FpqX3rLtgkFrC3ILeqXQM60MxjH6q0qToDUpSpvAFt8Qk9C3M3DdxftizxEdgHQlkpn2uOmBd3DfS5NNfyS6ENvjwAG1BVJ2UJQVwaQtBs9GSRK44z9voTyZh8JoEqccNwqd2zGSpEJPhJK+b1OqUa+zJlGhpLQ5+JKtYxw45/jhOHa/YWifEL1kdcArn0zHbf/9EksqJIJVPbucorQYYXbH2ssHHvse85fmIU/2brF+e2yxUQQOm8qxYZ3t1xxQKmUHRVFWP5oXKG0OvtKISSaUh0ocP6oHLvjTbiiSEn06Y+ODCaX4251j8PNsLcMpLY/n+d0GfpgOfPrNbDhuBP062zjzmJGIUx9RDXkJeGasMH+Ur7pBUZTViwolpU3B7Mez0vK3ShK/h4gXw/bDorj5L7tgYLc4LDsfE+cAV/zrXXz5W1PEUku0GVBymqzk4VkWFlUC1z7wFpJeRMT6Apz+xx3RJSbinfHEI3NOQtcVscQJChVFWeOoUFLaIEz2kjMhLkV0y3TBXqcLcN2Z22KbjYulVF+F+eXAlXe9gsffm4GkxOT8uxRWnuuZJiSg1vLC6U/kAqqVlFowbTBRhAlDEpDrICnp5l+PfI9FJUDSKsc2O66H9fvKYSbJoLqIU5lwNdhUFCFMES2RMrLTpdIUVCgpbQrfzbCkHg1CDT2KgbOOHIZRW/VDvl2Fikw+Hn3lO9z31EQsYrslc2aWk+LIluH2yvouJecIpZL544pCsiP4+mcHX/xUjkRhO/TpHsEJBw0zkt21JC5ft0lgvzjLrPPkAF7DXExpu/jeq2UIE5QmqqagQknJKdgGZEXg6DaW7aGDFPzPO2Iozj5mZ3RIROF47fHSx3Nx9X1fYGFZEDnK/tspOYf3Cke7UYejZGPkjp8qmLe5UcxeCvzr8dFIc46daBJnH7UbusihTHUk+Svry80KNZkpLQYTUxiU5aFCSckJHMcxgV2qXZfthnyWLl2KadOmYebMmZg7dy4qKiqMmGJIpfgOjUiWZvyFZFFRP6PaeUQBbv3rTujTOYYCOfjjr0tx0pWvY9yUCiTtGDw7LtEjcp5rrqUtlZS68FUtUwWTlWtHcPdjn2FuWQSpZAn227orNl4nz6S1QklfrOPknG9Mv2Ew1JeP1bdPUZoF0xezf4YgrSkNokJJyQkikYgJxJYS+//+9z+MGjUKu+yyC3bbbTfsvPPOJnB9r732wtSpUxGPx018OgrPkmxN/EVGLKLK9UwmN7Aj8I9zt8QGfWxYbiXSkY649IF38OIH81GalLzKZFYcNtB3NrXdjeZmbZXwV7fgSMpwTAp5fVwK34vYzo/Fsfngzjh47w1MelluCtHkoyhrBSqUlJzi6aefRu/evXHCCSfgrbfewvjx4/Hrr79iypQp+Pnnn/Hpp5/izTffxKabboo77rij+lUd//qv0BxE7bAtUgY9i4Erz98B+++4PpyyOaj0ivDf5z7BIy9PwVLOjsKRv+U0XobdvmvXLNWsKTmO+eE5SGnwm5ttpqEYZi0E7njsNZSnLRRY5Tjl0M1QKJ63WlibePWU65fZobRtmLbUp6wJVCgpOQNfrx1zzDGYPXu22Q5FEGuY6lJaWopzzz0X99xzj9lmDFtypqhIJDbxZh7lyRrzuyLZccpB6+GK0/dBZ68EXl4HvDB2Kq781yeYXcbrS5ATWHNAsVTjzjSnazOYH56pRQJ/fK5K+llUyoElv0QqVgw3U44D99gYQ/tImhJ9HXFdWJJG+Y8pJQy1yD5QNyhtiNCr1HiXFUcTUHNRoaTkBBRFv/zyC9Jp9tuneLFRXFyMTp06oVu3btWv5epCoURhld2uqTZ0SinEEx62GpbAZafujs5FGbiy+5eZVbjg5rfw3aQyWJJRJhwXMTcjRuVfy8/+lDYBB0Eygpxym4sUMrIy5tuF+HqSi4hThJ026oUjRg3gUYNOUaIorQMVSkrOkJ+fXy2IWFv03nvv4cMPP8SYMWPw+uuvY8CAmkwqhA29lyxZYoQVxVZYCxVisj0vDjMKYAYYPrgQ1/15V2y7fntk3BSWlsVxxb2j8dJHc5HMsEUK66N8s9JssG3AFOOnGqYWtnfz4NpxfDUpiYee/hCpqIMuBQtx5P5bmtQRprFlGm4rirJWokJJyQmY2Wy++eY4+OCDMWPGDNx8880YPnw4NthgAwwePBh77LEHbr311mVqllgDxYyroRolTrtlYF7G1yViMQO7ihA7fiS23bQb3HQKJV4nPPDsp3j5gzmm3ZJfp0WBZVaUNoBlurb565x4ZF4F8NRrX4tIai/JYAmO/MNGGNhbjjkcI0mFkaK0JlQoKTkDa4Uee+wx9OnTx6zXzZAOOOAAM4RANtzmkAHLwhdnkvNxSG7WEMil+CqFgRqoS4GHC44fjpOO3gtWugppuz3uf+4T3PTvt7FETql9l2xUPeUaJpVRJAU/LduqPf/ODPw0vcy8jdttm8HYdWQ/iScROAy8ojQbTTdrEhVKSk4Ri3GcY5+6Qom1RvWV5vPy8oywqh8OFOB3/WddlF8fxVzRQYH8PWBz4F9n7oOeeUlU5rXDZz+mcMblL2DiPMk3OThTRrLNIAPlwgPHbuL5Sk4R8eBFXJTLT/vFpFI8+ebXIsLj6JXI4IRd1kU72R81Ukl/e2VFoY9iWFnR5HsipemoUFLaDC+//PIyr96GDh2Knj17mtdvFFE1QopLfz1cq9lDs5FsT3xNTC43sB/wt3P3wuCuVYhH81FZWYhr73oVo7+vgGNHkZZ4aUfOlaXlJcRHqdnlHCbfsbGkHHjoiW8QjXaAm56L447eAV07yaFomDX5KUhR1ixMjdlBWR7qsZWcJmw4y7ZIN9xwAzKZTLUYYi3SlltuiS5dutRb07TcTC3Lt0TjwIBewL8u3w+7bNYbVWXlmF+awD///Q7+b/QMpMXKjD7j5cKg5BRexkOVLF9882fMnuvBdtLYd9eNMWKDPEmDop6C9GIae/urirKWoA6pMVQoKTkN2yBRJH3++eeYMGGC2RfWHvFV3PXXX2/2NZsswROJ0ZDSyJP1Mw4dgjNOPhCZVBViiS545M2puPymd4NJdYPhdvxVJYfwojbe/3IJXh0zydQc9u5k4cj9hqJIjsUj7OvGJt6aJSlrC2Fq1BTZFFQoKTkNX7UtWrQIp59+umm0HdYcRaNR3HfffWaMJRLWPDWNpAQ22a0hIv/Y+LswP4O9twCuOn03FFslKPdS+Hou8Pf7P8O3sxmPGaZKpVZNnZ+Pm7+LEH72tc+RttrBKgD+fPSW6JqQA+aVq6xYdLVs7cagKEprQoWSknNkd/XnGEnHH398dW1SCOd8++Mf/2jWwxqmplMzVlKIJdtRCf4S2GbDfNx88V7YbGAc6apyTJ5Wgn/c+TreHZ8UiSWSSgSUL7Yk8HHDzJfLejLi7KCsKfjty4/FnpCCI5scCqJSwt2PfI2ZCzi3WykO22sIthhSZGqWTDKpTlpcUZmkrCihB2BYGTQdNhcVSkrOEYoetkfifG6c841iKBxUcosttsALL7xgesiFNUlchuuNwwZH9ZsOhRKPsO9dv07AJSftgN2H90ZB1MPSVAHufvRDPP/BbCzNcEJeM/xgk3xfGKWRaMoqh79A2vxlMqNQem3sPHz6/RxkPBuDexViny27+70jw/xI8yRlpVEPsCZRoaTkHGH7o0suuQTXXHNNsNevaerbt68Za4mv3lY1zCz7tgP+cvwIHLXv5qiqXIIlaRv3PPcd7npsPEoll/UoqUwNhQT1gWs5vuJx4ZhKQNcBlpQAL7z3C9y8QiTsSlx02i7oViw/pf6WipIzqFBScg4Kovvvvx933XWXWQ8Hn9x4443x6quvmpG6w9qlbJr3+q0pyPW9DAqiLg7foTOuOnlbtOvaAY5lY+x3i/G328Zh5ix5XnkWR2sdWgVsYeQgboQSX7nd8dAnmLHQRTpTgeP3HYEBIoyppywRv9oWTVFyAxVKSs5x3XXX4fzzzzc93iiIuGRN0hNPPIENN9ywWjg1/VXbCsJpLTzWXDHnzGCH4V1x6+lbYN0OGcQ8BxNnLcVF976Nr2dw2l01xbWXmnTiye/E+fz4qz75+mSMn7YEMTuDDXsAB+7ez49k4O+p6ldRcgH1zkpOEIoeiqFbbrmlerwk7h84cCAeffRRM+8bCeOGNUhctnxtklB9SQolvrJJY50uHu69em9sMaSj7KrE7PIYLrr+abzw7lxU8bF4jgSuhkFZQ1R/+V6t34JvSn+dB7w59kc40Tg65KXxl1P2RoK/nXpUZZUQOAYTWgL1LM1BzVrJCSh0fvrpJ5x66qkoLS01tUgM66yzDl588UXssMMORiBliyIuV3mtUnXFAvvEsYm3BfYaP/ePm+PIfbdAJFWCePuB+N/L3+HKOz7zxZLABV/vcKkubQ1ivnz+gFm/gmz+899jsbQqH0iW4Mj9tkK/LsExRVllMB2GYWVQj9JcVCgpOQEFDwePpEjKHh7gl19+wSb/3955AMhRm2//2Zlt190LGDdswFQbCL2Y+k9CL6FDAgQIhOYQCJhieg2E+hEgQOg9IaG30EKzCR0bA7axjY1xO1yu7e7Mfu8jzezO7u3e7dpnON/pd5anaSTNrPTqkUaj2WQTNXibj9zyHedZops1a5Z3xqqHZqpW1NJhOw7A+b/eEdXuUjS7EUz8JoHxt87BzPnan+Gng7+RExKxLY7jkjhHFkcnJSRr3f/v6Zi9wEU4XYXRQ9bAzzetVhLYYFh9YA6nnfSbY4a2MELJ0GXgxJLE7zHye5AIe5fy8XuTKKwmTZqk1lc5EqXfJuSM3ltvUYe/nL8LhvdvRlS2v/j8K5x5xQt4ewrQKDbM4VRLco7fMaWvxrCq4X1Oq7fbHDUfEvNKAjbmNQLP/HcuUokQ+lTU45yTtkKNUUmGHxuaLm2+DD8CRigZugzV1fxgRC6lPFpjz1JdXZ23tYqRGpgpomxzZZ11bH9J9oRTfoGtRlXJziVYkorg6tufxRsfNCuhxNfQ9VVIpa1mBc/2mOVenbGcreE9KcW1hsbR5jH5FwqFsUBE0oXXvYh6J4q43YBjD9pRxJLn0WD4EdCj5QIUzrpFofd8Z2ifkFQk5l4ZugT19fVqjqQZM2bkPH5jFue237tEYUT8rF9bW4uLL744c3xV4nd0+0t/6krG/EMTcN/zX+PZVz9DOtILocRyHLT1QBx+2Biv0k4ooZRGpThVhSvU5IaZrVV/DT8d/jXmk3/N2eqk9Ff0C6kdJWflXwRNcvivj03GE699g2Qkjp2HpnHh73ZR483Uf135ths6BczVrvzxQTAntlUzv3vZe9Zy4PDxbyrbdvpB62G/7XrrA3noUwInCjo8k4Hbwgglg2FVEixdYosokHyTFDxkebarWSrkJ//zBZ568UssWFaJVDSGjUb0w+8OXhfr9ZFzkxJCxMr0K3F+76xQ6mLGzrsnCqVjvOeQ3nXqw1yXaoPdc1yX2iPNsUVqS1Un3FsE7xzixxOE+yTeZCqFSdMTuOT2V7DcrcPgnjZuOX9b9NCRFNZYgk5fTiyt8eMt6sFgYDahSOJ4Oa5TLOnXQ+Ay81lKKB1xzluwRSidcvAo7LtdD9nPeeN5XFsIdXKBfNZm/mwFrQ4p76zVnSJF3GAwdDhiqFjgCpoXz+5ExNOvdl4PF56yN2qcubKVwudTZmH8Ff/CtB/ED3vDJBx2YkRlhYOMNV3LaKkKQS6J9YAjjlfpStUQdGlxmT45S1SLlfREEvuRLHHsdeOymAvcs0K3j3GLNmt0w7jhlheRSlWj0l6G3x40GpU87kWdlNQwvWWzQicZuiNa9Icly3EOr6i4iOQfTwAJ7F0KSd6HOCvN3M2s6f3JMeXUvsJZ3dA2vG8Gg+EngAbLdwpZYdXOeXpGDgRuv+oobLt2VDTAcjQm4zj13Cfw/PvLkBJ/rGN1h3nXrW15Zf7V6evV1xyEBizt+g8TtPShfKKM8h9O+uHku1bkBg0+vW2Ruuiv903C8mQl3OYG7DhmMLZZt0rClta6r1F9M1og4LwgDYYVRuUlDiFQeYxb4thwkn9Rcf1rE+hT1YTKaIvOm45kXn/Kf24H8qYuMSuCF283wzx6MxhWJfmly7Mx/u7WJkeO8KCa1RtIis372wtf4dFnP0BVj0FIpFPYdaOeOPXXGyOVAKqitIB8wNT1aJFL49MtVgK8Sl4jJYl/73iMPT6sK2w62aa4scWj4yRhq+/5tX1nWh31AxeScnDKPOC0Cf9ERWUPDO7j4Krxu6Im1CTp4DB8hu8ROK+sH8M/r5xzDN0SNUJJMnyIr8tKhmFZaOQBKQgpyUf1kveTot97RYFayZosB9KGAIde0m+zlJWY7GdW87Mdl9w22a9tjFAyGH4sfKvkrRK9md3iGgUAlzRutqy0iKd/vfkd7v7Hp1juVMi+Bmy/SR8ce8DmGNxTPHl+Oy28mDIscVKs/aJFi/DpzB8wo97Gwvk/4JNPp2LBgh+wYP5iEUVx0GoxWDftoqqqCkMH9cfoDUdiQN9K1FSmsPEGw7FG3wpUSMVQyr1RSeR/Ab5eBIy7+nEsDlWhSiqZy07cAT8bUaXizoz7p4KjYyT+vjKu1WAoFWbPxkQSX06fi6++WYjFS1wsXubgo0+/xtfTZks+DMGWFoN6ZK0ew7no26cXNthgHfTuU4tePSuxyRphrD9yCGpr4jrQAMy2bWddP6N3P4xQMhg6ETRFNFYslGqAN8cvRxJoQBSLmoDzL3oR05rTqJBWZV16OS47e2+s048n8JMtPJ8PnfwhzvkPqn5keDG8Bp2YDDTkmU0eT8v1WVEsWAo89uhrePbp19HYlMY3c+eivqkBjsO3FuWcEJvDYqgZgEIv06JwKDFtqkq5YRVxG0MGD0KPnjXYfLMNcewRe2GY3CMOfLeSKd3TFErIlh9O7kRITosDJ2bj4r9+gDc+WQDLBn61Q18cuc+mqLQSCNsMKYB/je0R8FPqKYaujcr+nmN+yJEhTlJNROtI9vxiFnD9LXdj2vRZmP3td5i/oB6SlSVvRuGkPZXudx8RWXCV5YJ7QnzJIe1gjR690K9vDwwYWIejjjoQu+w0FHHVM61P01qIY+44vaoOy28D6Gac3tcaHiPFjq/eGKFkMKxCyjUfGVPEFToarnCLLKJokSNfzgTufvodfP5VvWiCKPpXpXHkQdtiu00rEZdWJEfm8HzfuP20yAUo8yIpyYgbWZXE8bLo+MmWN/47DXc+9G+8O+lzLF+WQoO0ktMcri5KkdM8qmdrFEj5V5RRXIxDUF1CDNVDzrFFNPWssrHpBkPxm0P2xW7bj0If0UmIiD8Gqc7NDopVyK4XP0vgujv/I0HUYf21orhy3GbKu+smEUlLzeUnJSdJXjoy5KU3sNmOT0M3wc+xOtfq0su8wP1fz3Lw1qRPcfPfHsTs75dj8bKEiPgWySySEy0vx3BBgZRP/i7ZDsl56RQ/CO6KwEqhV+8q1NbFccieu2L37TfHzzYdoB7N8TUHnqCHhOdSPJ/qc3J9FPe9umGEksGwCvGrbZqMssxGplTqLnS+4dUs/+u3tYDbHv4cL7w1XQpwb4TCTdhr7GAcue9I7204n3zD9eOhk8+rZ7tUhIhq9Wo49ocvLr/76UJcdf19eP2dqWhZtkwdq6isRFNjMyLhiK5A0t4dVEIr/1r0NnuUNLKUdSschsvmNk0bu4PYtE42o6K6EhuOHIRxv/klDtz/Z+psaiYN45E0yikz5rg49srHkY4MQK3c9UtO3R0bDpLDYbkW9l652bNyk6Tjz5Cf5sAqffk+83wZuhF+PmDuU53H4hY0AeddcBdef28Gpn8zU3RRBI4SQ+LEFqjHa5K3XX9fEYJZkTmMQsmWssDPOXHOuJaWZtmfhpNy0W9AT2y12VBcc/FpGDYwLI0BnsP4mCr2Jek8Xzyf5qela+VqI5QMhlWIV80XNxv5tiUHCiN+RkMfcJW8SIkRq4Yj5z38wkw8/MYSNPLxVGIZth89CCf/an30rxFv6nV5ipOf0Fh51+Z3JnHBwaePvvwxHnjgeXz8ySwsWNAg6RRxE5IqQjxyugNLjdLinfPTLuKkBKHEu5UrmvTdl6pFKhYx9BRrEle4ZwTrDOqD4w/9BY45YFvURFJyV8OwJVqKuHNu/wzvfj4P1dLqPnrvzXHIzn2yyWGYAdGXC+P04xeMUDKUSFr0yNS5i/H0m5Nx813/wsyZ9bo1oZ6/i0Dno3XJMaEQez8p6LVYagt1ahDJZOoxtdc7m2b+FJemGAoxjhAGr9kHu+6yKfbafQvsvvVIRFVnK8WS7ZVBoRtmViOUDIZVyIoKJe7WjqKBaxQR2sDxf6dF9oVDmPhFAy659Wk0uNWqpTiwRwTXnLezerzEOZkyXfQeOqRVAUMmErofCS+eyY8k0SRCZGlTCOPOuhVPPveqHAojwWNWFJYdgetQgND56ZPrFdOk5omicc8RHbl31Y+ZlUBQNOkKxZYKQ4y86gVib5wLx2pEVbRCKqJl2HbLUbj26rOx/uCwqpeefWchbnhoktQNMWy1UQUmnLg1+JUSBaP1gi0ME++nRshJsxBYpS/fZ54vQzeDMuSzaSkcefSZ+PzLuQhFo4hVVaClIeU9dXaRcpk72SvEfKx7aNuruoNZUWcyiiJ+oYA7dCPMbwEoEcbyJueEXBd1PWIY94ejcMJvdkKV+FDj+7TXXLpJxjVCyWBYhQQrwzbJL4VyAnepXhIxZjRlrKH5fyYsMVyckPHbpcB1d7+JT6YtFbHUA/H0fJx4xO7YdbMq3YWuTuAKe6cYRkdPJ6BTqvFSqMyKLOUfTfwLb36Nq298CG+995W6HiU2RMSpVq3aEP9clf9CUgno6/WVCQWTbCu/XM+Ny83UCBRKskf+014Zrg7P4ro6KPfSdkSTMQ6pgFINWG/UYFx2znEYNGIkzr78PtiVQxFL/oArxu+FdQZIJcFksGXNJWHYQTLbfjp88j1mKd2noSvBLMRc6bNEMsLVNzyDBx99AbNm1sMVUR+OWUglmmCH4wjbtpRaKbdpjttjKdA9Srrc5OeiXPKFEs9X3UzqgLYrTBHLi/5zYYsQU1NuiB6LVaex2/ZjcOV5p2Bov5CapqNVlG1mXN/z6p+7jVAyGDoLwZIYsC1+/eyjDW1usV2YCuH/Pfg53vrfHIQilWhuXIC9d9oAvz9gHYjdFRhKSs7SPSuk48wX08LwuVRtUxW2tIfRILsf+8f7OHvCLahvtMXgi0AJUTrRrxhr7zLUd/b8BCmhpFY8R7iHTkLPmCzPl1cjsO5g3JaqRPQx/3x6Ubs91BdPMqRRG3aw0y/3RUuoCulECKcctT122rwCFb4/r3ZTUeWcazCsAJKP5tQDB/zuIkz6cDrcFiAciSDlsJdHY+munzxWPPOprCv5WJeILMzT+aGyXeG6KYQdG2PWG4hrLj0Z2/xsoLIefllqOyWMxY+JPlc83Z0B+0LBWzcYDJ2FNuxKoUOVsneb0f3gxirw8dRpIgSqMX3WEnz3QwSj16uTlinP4mMoETGy2rFmi6HpFiq78/W4KhFv0lwef97duPX2f2LxUtkfsmFH2G7loGh1YgYKJe7SLj91VCn+Ph7N+lROBZZ1/iPKIGorsCsomnggmbAxe/Y81FXF8H/bjcahewxAXIJRIcp/mXuWc57BsAKIfnht4gwc+scb8dH7H0tepPzQ03oE6eiPdDO0AqVHuVakXSWqHNfC3Hnz8fLb7yIVjWOLTYZ7J7CXm6vyP5NdMBAf7XN1xvQoGQydhWBJDNgVf3cppoZ9NV8uAP546WNIWmsiZsVRF/sel535C6zZU0sOdt53qNlShpL/OUiJ45foOEvR2RPuwT33v4blzSJdInGkXNlr6/meeE7xNDCVPipwveqhogrgix5/txZKgpi27GO6rD/CHqVgOCE3ql79R7oZe+y0HZ6470Q1eISvSxsMHYUrxePV97/F7865Gl9/M1/28CUGjjnyM7FkSk8gFe5RWjlKE1+UbN5fmm/IyR6nGVW1NiacfihOOvbn3rz0aa/31qNV0NkSubpjepQMhs4C7YlvUwrYllLMjS21e+8qC6NGrYe5383FvMVNWJ6KYNIHX6GquifWXrOiQH/LSsLAaBNl6Ujoy1IW/t8dr+Jv9z6LxY38UG0MLisAqQ9CHCPBukCdWAx9VJvZbGoz53BFXM62+Na7M3tlw4tInNobOET7HtiUDTH6kja+Pj1r5hxM+3Yhtt1qU9RkRnIbDCvP9IXSgLjir3j/vc9EaUjm4jMuP5OSgJDp6B4lUnqY4i9TfEQwudIIa0rhm2kLMHzEuhg+tIcU50yTRNMqaH12V8AIJYOhs1HEtrRlcvioi9B08d2uvnUWNt9kLcyaNx8LFrdgaUsF/vfJ1+hRV4eha1UH5AehJFlJgyYGmAPFk+KeemEKzrvgdixtlH1WIqtKKEY8QVMc5VGlSC95ri9/9LGMUwv61L71jiK0cUg1ikPs6ZK7GLKRcCL45POpCIctbL35KETD2RhIG0EZDFnyilV9A7D3b87FWxMnw4pXivhgb5JfHlrnqlJFTaA9IEgJ817/z57tlxGJSx1rDx2a/t+Fm0wgYlmI2FHU/+DgnXffxRZbbok1+leqMUuKbGRdEiOUDIZOjjZYbZP1ow2iLdazKpLG2M0GIeVamDztWywP98AbU+Zi8cKlWGfwAFRzdkrizTfUfizFYYcRv0n3zJtf4OQzbsKyxrDESwsuYVt6vIOVI2oI4/MlW9D5ckocF0RVGvRL55ln9aoz54DheAnfIwmuF4Y+8p1ekbBsid0O48PJMxGu6ostRg9SYoopz/g1GNpD8hIfXzFvJiTzHHPWI3jzrU+kVROWQ7KXxcPPUQUyValCKSyFT73dmrZF1kRlKQU7HYaVlqaLHLPARgDLCediKu3Bu0oVGyhMmsVwRTIxwZFm1C9rwqdTpmKb7bZAvzqJj370aSXCxJLyzvopMWOUDIZOQLAQrpz5UBZTrwo0kxwv9PqHS3DVLU8gXbkWImIwB/eP4C/jd0W1HKNMYpwrEy/j+PjLehx1wkX4YtoChC1+PNaFo95wk7BpdNVakGKxUigRqWaUuPKhXxFKHNNBHxRhTL34sfgxuDxYRaW9ykZXSm3hn8/4tE836aC6wsa9d16KPXYYJHv1G0kRVdkYDMVR43tU/2pIZEoEf7r4Mdx13ytoTCXhSLkI1rpcDQ718SltjJLK5SoAN2TLGvMmGxNEyRu11OWEfb7lD7rLSgRZhprhcrZbJ4GfbbI2Xn/mGjXHUnklQl2xXlX46e28dP4UGgzdhHzz0Yp2PfjQwNJRVEjFLo3JXcbU4YYLjsb6A1qQdFow+/sW/P7cZ/D2lJQaAB6EhrGU9pPvh0uGcfPtj+CrafUSdVT2ObDLtS6qXtCVg74C/ajOopFP8hGeCBUOuBbxxfFECtXVw4j8KQVyUQKp/UsJkA3FsiJIulFcf/vjaJBoOcM3H2waDO1DocQepQgmfrwY/3z2HTQ3JtRnR9jRyizpu4IZtwzU502skO6xdVskh7bIskmCTYqTMsPyrLQSZ6jXKeNfyQQEm5r4lZtSxj+bOg833fW8aj6o8MtGBaRXOzmm1BsMqwNl2DWNGCA5h2aIk3OzxbfuwBCuOWdPbDysEhERHsuWV+KC65/DcxN/4AteiqBAak8sBR8N3PfQ63jq+Xf1l8z5urOc6jjs6i8N3ePkdfXLnzJMbHlLCxypBKIRESlOEhHLQchpgJ1uRFzWo1I5RCWd+lPAOjb92E5vBV25hOTGJVIu3p74GS758yOq16wx0aQPGgxtoPtPQ2gQFXHV9X/Ht98tFkGTUtJJafug06esICHYIRvhkCWSTMqCNCSsluWIoVlcI0Kp5QinE2qqCyuVkjItikbZBaavNJRPr6yrksnvJ0YiIsds/PXOZzBtxlL1aL08GJ7vOj/m0ZvB0AlgIfQLYkGbEyylbdoW36N48laTqss9LUJDJIQTBr8X++ALM/HQc58hFe4BURo4YJs4frv/aNhiBAP6J0cMZQhEQb799lscedodeG3SDIRiElMipsZH8KFD2mLVICghlA/36L16kCl9iujhIFdZOtIqdhxpGYuJGjliBDbfdDMMHNAPVrgFC75fKG4xPvl4CuZLJZSuiCHFmb4lPMom/b04UiD9BWmjSSzxDx+5Fh65/TxsMCiKWKTsWsHQHZHs/NBL03HqGVdg2ZJmEUX8WmNYlqXln7YevbHazvShipgPi+Lq26sO2262MQYPGggrImU+JvFJO2P69G8x8b0PsLh+KZqjcWk16Vf+mb5SUV4Zp5TrFHuuLAnYdqTB1Q/nnLANLvzToVm7Qc9tFjs/4jY9dSqMUDIYuji6gFNCiGHySntKVj+ZC1x8/XNosnshvWQR1u4Xxrln7Y7+lRyH43XZi1HkBJJsr2rDJgGoMUKEYiaEx9+di+NPmICGBtlWLVYKFUYk662+zBlEja5QrWr/bT01+NSNIpVshptagC02H4wH7r4BQ/pH1Udr+U3QRhF6lRxqQW0j554z4SHccMc/kYpUwrFDcNMRWFaDGDepkNIcQaFhPPK/t65iFj9qUx1rnVJGwEqNg2Obcdm5x+GUo7dDlaRBBSX4yxxaB6QJeC7mhfxoYZJCJ62KMMnKhNsJw2yPxiXAzw87H//96CsRLRE1OijpqlyuPXgwuoINklaIH0mQepzGMXlSiPl4DU0LMf6MY/Gncw5W5YPvaDTL7jCLrMB4GeOZ59yP6+5/VnbEpXxIOryqvxwJEJLyzc8m6Ud3LK9hDB7cE/+453KMGcpyov0pSrmk1YTcX8xgMHQ5lCH2rRYXYswoddZdA/jjSbtgUFVSDGAcsxZHceENr+LtqS1oErHD+bUdOYEfsGX/DB37pjLGkMZdArrqhruwjPMluRQeOgJtSImOvbAL4CsWCd9JpRAON+LhB67Hf565FWv1F9mW5GMDOSyJUJOME295yUWH4tl//xW9am24LRQ3kigl5mjeAvH5UQjZ9OndgUMKfYZ/njgnhPse/AeaeROEfP8rgh9v0K0sZYVZ7GDe/mBYQbcyFAqPbmX5scJszzEXvvHel5gydTqscBhpS+QNd6o8tTLwIXOI38NGRETLfntsjolvPY6z/3gwwpLdGXozvfHpN58VS5zMsvwA9Y47biY7ZUXKbWnCrDVe8VZpUN9PlAi+mfU9HnjsOXVcJaALYoSSwdDdEGNGXcKW5xZDo5hw4nYYtWYUqUQD5i62cO3fXsE7UxrRHIqKkQ2LXwolTmXJ1jBP1sHQAL/87nTMnjVXiSTCQ/oBWLmoWkRZYlsqlS232hC/3G0kbKWOQkhIOh556n8Yd8FdOPeie/HmxO/0IHSJKOU2Y4vNeuHkEw4Cv3yuLDl7wDI9X22j09waij5Lms/s5YpGovh+wVLc+9Dr6lhQaBkMPswXrFSZO557YxJaJP+E2HvjsNlRWn4sBMPz81yIPbaSzzfbZAjuv+MPWH+9WoTZcSqZ+IZbX8R6mx2B6n67IV69Hdbb6ECce+E9WCaFZeFSaczQE8vUCgolRqLKSzD7p1y8+sa7+Ga+KpFaTK1o8J0U8+jNYOh2UOKIOadFY+mXRZO0Ph97fjoeeHEGmqI06c3Yd+x6OPr/RqJWWqeuuM+/nov1Bq8B0QzqNA5rPvn8u3H3fS9IEBViTPLbXeKrnaYYw2EyQmJ52UKlMAml0thh7Ag8cv/ZeOuVj3DXXa/ipVc/QGOqGeGYC0ua5m6qRsQR/VyAAT0ljHQzFi2LY61190eqoqduMUvgQXutKhrPwrshPfeS7gHLRadJ7oESSZIeXpecl0i3YJcd18Vzfz9bhRW1+VCjADqK1gSiUnHo1RzopXWKhB8zTOKdUCxMUvSnLXZCIBGeLG5F2WkNeC6W1lURZjHctKsGVjfJSettexrmfbdESpuIJI7Vc6WMyJUXTEs7qHTIiWHJhxE3hiq7BS8/fyXWG1ErTYIKzP7ewQEHnY2PpsyFE5HyHWbfb1zpIZ7rJlzEKurQkmzMDLxe0V6lfFzXQV2NhYf+fg1227yPyhcMuWNC7xy0Y8YMBkPXgy1bMZ9idKkB1Jf0xbjuu89w/PawjVHlNiDZHMZTL03FhBtfQr3UapNmA+ff8CKmfKdlFo3vgiXAZyKe4HD+Fm+8UdCVZSm91rYSMBZefnYSdt/zEux92Hg8+fo7aKkMI1RTAydajRZWOlURTPz0C+x30MlIiqEOW3H07wGsPaJOwpCWrZWS+PkhXvErTqeoHOR6vIokLK139baQFcX0WfMwfcZ0r0FebpiGrg7FBz8L/f4HX2GpE0GCE0ty4JAqDL5bMajxKXKamufhpJMOwPoj+iMmZeXTL+sxYvS++OCLaeCkRuFwVJUHLYgs2a5ApELKTfNyVeN3dK5lg6M5EcJTL/5XCWBV9tWRroMRSgZDtyRrsLkWtyxUipXbc+u+uPjUfTGspxhaMcOT56Vw9vVv4bo73kIT+uP5/87Q54jf72fV46vJIpRsPYjTN5DlGkpVAaiObRFuErAr9Uq0tic+mfwNIrVrwIpUyjFWNhZcEWUhuwYpxxK/lVIhTcX333PuJv1B4J/vsaO03Pl9Ofb50GxrdD2VTZXqSSqSSO2V/+v0JG0XKTW2I4258xZjyrcJsZzsZpMAvA55/u9XEjoAzwXhQc/xEI1vvlOnBPxlXDECfjosTOL5yYQp6/mudTjeDv2D5jntw4ebxVwucm6JYZL8sHzXmkLh0XmHA+SEIz9yUrLCV9/WY47oDjYaOI0FH0qnUynYTkiEewhX3fQgfvhukZykp3yUO1YkHaXhx5+W/D+gdzXOHrener3CkTJ6zY33IWXXwq6slgaPpER+HNVwSUdlGYHjpOGkklKOJA1yjUrkr0xi8ohGY0gkXbz8xjtqCo32g5f7rNzqA8uAwWDodmhz5hs0CgM+SKoQ+zVmbeC6CTthrT4RWLFafD0vifqGNKx4T/zr5ffVnEtsrTYvc+A2etWxCK2MhfRcKaYw610bTwocV4SJI8ZeCY8Ux3yISJIayZIdesrHKvHPaiIsdVQYM2Z8K+taqITjst9hm17DKsP/C6Ieu8lfMfwj/GwDhZIe7pRSb9RNmSUVojoqSLAqnXpLLX3XJkGP+W5FKRSW79rD/yHyKRRW0BGKRSUYeSeKueBJuv/RjzLosgT9FwqPLuinnDALhRV0xcPkZdry43/89fc45aJH8MYny7A0YcGR8mOHpQTJ8ZTk1aXNIlpkn3q7jGeqR7hc80NaQVJhHLzfXpAsKXkxhdnzgRdenYRQJCZ5Naxm53alcGrpxsYEr0jyL8UTRZIEod1KpCGPREIaJhLR8oYEZn+/VO0rLXT/Pnd+jFAyGLo5NKScG8WhNZBKgEO3q2NpTDhzLAbG4ojyjTPXQaPTAruuFrfc97Yan/TB51OkghDZxPP4aGqlEINJ60rL3p7xDLEd7zk3gb79e6vdPOtLPgrkhJd83MF9cl3+VAArQuYsFYbUU3K5kyfPhHq5jvuked6ijsiq5zKsWJQ/PpJoJlU5dU1yccrpY6W6TBgd6rTELezaOtaRLhuPYydU3g9V9sKCVC9ccudEnHL5a/j7v77A4qWSOSTrLZ7nYOmipbC8wUBanng9SgxkJeD4vI3WHyEJcNRM3M899zYW10uKKJDSbDhUiKuWaKIi7htFILXIUoSMLdeg5hljmlRKOoxwRAvE5UsaMGXqLLEmpeDfUd91bsxgboOhm+MbgIwhl5Ulsnj13Rbcce//YEX4UUyvVYoEelYncNk5u+OU31+LF9+YjJSIKPXWm1cx+DC8UgeM8pGAOkElJhuOp08EFZo4poEtWDHOyQTSTXORXPwKXBFxrh3DgPUPwQ/LY1Cf/Jd0+bDHrFUrWu0rjBZXOjZ/nYREQIxabxDe/9fliCOFpc1h3P/sPISjTH/Wn0/rPZ0JffUco9YktzyRTGLWzJlI81teQijNNwe1H/WorQBZIeqtF7xiCcMLJwu38/cF8apbFXapYZLcPJiLF5Y6rVh1Lue3ik6nlX9h0d9OKo2mRAQz6x1EHQcRKROJZD2seDOOOWBXuZEWTvjd2Vgu+sVR4+REKkmY+nV64qXDo+BlFKEy5eLpRy/Hdlv2k0ZKGvsdcR1ee/tLJZIsEUIuHxFL2PyEkHLhMJJsxEgZVo0ZtmskahWnlE2mQl9dqbT2qebFl4BsaTKccdo+uHjc/qq/tzi5119uCn4KjFAyGLo5rDL0jEk2pOGpbNaC5cDt97yIr2aHMH/xUqTCFWJsq6T5GEPSacaJR47FLX+5Bm+++5l6PKYrqFxjp8xfhwslEWxikNN87JZowbgTD8Hl5+2NmBz76KslGLP9b4CKPuKP4ekrI8WFUuH06QHgDCUrBDRpDB7cD1+/eg3sVBLfLY3g5EveRJPcE18k+BUft3KS39nwEspFytMH7PfI3H2XE0joSrBY8tX3zLz7o5eZKw7As/NDkG0Vf6GQGaG+/zq8UsMUlBgpFmYwLD/8fLJ5L4uEx7Tyn+WKCJCSIsG02DYiIir5kCsVSqHBaUKFswg1FXG88vJ/0VjfICK0I4WS5PrGRZg19d/o10OH0HP4r7DshxaM2WAdbLHlJhixzpqyn32cDpYvS+LjKTPw0uuT0NAou6LVsFw+ONeoHiZekwRUchIK3B8+5rMkoIibwPHH74m/nHdAxo4UJvf6tcfSU/BTYISSwdDNYRvUVSOPOD+LSAepQ9jLkBTHR0w/iJH9YHIjXn37Q0ydNgeOHcPItXpg4rtv4sOPpkgAYTm3tQFVpi8glNoyhbl6qsA5fm0iieNUADTuFeEUvvz4UfQX/cZBpNf99SmMv+DvQJV+FJd9RCercn5hoVSYTOXPP29dIef06d0H3026BiEKpSVhnHbx02hMcwC550Uv9DJnX+vYisWfJRB3QdoPoTVearygdQguwpzuIK1fb1ewR8k7GrwFQYL3xheXrWEYhdLZVtr9cLksEnnBcFdFmEREhdybRDqFsGXJPYpgWahCxAGFpDQyrCSc1DLsvOWGqOvTDyeedg7sZqfDhRKWf4tl37+EqJzjSNYetcUhePyhhzBqeAhR+bn4C7ApwZj4yI9tmC+mt2DvA47D3IUubIsDvHWe1kJJyoD4KZ4EpjN4tPV6ViglccQRu+L2yw+TbUlJXg9zFoZJ58NwiqegM2CEksFgKJmUtKBnLmzAN/MjOGHchZg2Y5ZYbL6Vpk10Dsr+aQNYzBhzv0KMdmmwIk/CbfwB5/7xMEw44zC1d664HXc5DjO/XgonVKuEnjLGXuXdXvylVlZu2kbvHn3x3f8ul+qBH3cJYebMJUjFOIjW81QA/RZdroeC4k3BRPk3hgn31/MoEKbeLhQm8X8fVqE6THVfWAVIZV9ZUYmqSqlIWcepo/SjPKitcumoeXo6FRELzXJ/Xn9vJm77x9eyw0FVNIE9dt4Eu226FoaIRn/0+an49RnXwW1Jw7U6VijFU0swf/Y/EFFfjWPfln9ENwn4CyeTLioknYzNP764CTjz/DtxzwP/gRWJqcfojiRKCyX2IwYTEUwfQ+Sx/ERm9ylZJhdhS3Pl6MN3xU2XHo6YKndGKBkMhm6EbyZY+TXKqiN2betfjMfnUymUquRISg7SOAZQ9k8bQFUhq7VcMnVwGUIp5DajRiqMuTOeVa1oDq4978+P4fob7kdFtIfqBdM9HfrNH9Je/KVWVq547N2rF+a8fw1iEjSvmG858U09X3wUIvBAK4MWSsXww2LCi4SrEp0fQnsX4oeVWwE6jotYmJ+taT+EUumocDoTvCbeuSdfm4l7nngPPxvZA787fnfUxpnbEvJThfHA85Px63E3wW4WodTBPUoDqh189em9EKnDh6JYngAWLgH+fP0TePjhh7Fo3nccXY0+/Xpj/Lnj8OtDtkW1lBF+9ocvawzd+Gjxn0TIjiIpZZq9gJzpOzd/BtOXm0+yZPdRdtN7WMTb0YfvhhuVUOL5+ef4BMMn2bA6K61Lr8FgMOQRbE/xfTJWqBVigC2Xj+tYEWihoMWC5+Qc2sti9fyKwE9B9KupwYvP3Ku0FdPx5MtTcPPNjyASrkOSzyMoppTvjoeDuSsqRYDJNXlfbVGvi8fFlMbkzhRzUUlRvotIIvnNrsKO3/Ois6QCsgs7Hsv4812hsILO95d7fowH5b750rIjXFeEuYs/+8bDeuCKPx2Ec0/dHX1EJIVdER8up4+QexhOi1ahwOjAjO+RTjTLb69lBdNy7PEXY8wWh+H2e59Co1uHSK8RCNeshSUtlTjj/Otw5NET1KByPgVjuR1/3qlIpRqQTLZIXua8SpLOsgooY6YLInlIRDYf6dmWLEsOzg8rP7zOR1fNzwaDoQPhfDD+o5SYLGh0B/brCStlIS7G0ZZjfIQTFEtBM6jPXHHi8bgWa04LLj37dxizSR+pnYBvF/Or6LdIBVUDV0Qbvai41BtbTGUHExBKuhNMC7N24S2ht3zH0wu5Qn5LcYXC8l3Qn/6JtFPoX6l1H1eOp7JgxdnV/ggrzRFDarH2IC+vcUC35DXbEklshVFbWQHLUZ+mzWPF76VPoqlBlT2Gk5Qf8tHHX0GzI/HG4khK0A6nCbAisgzDivTE22/PwsRJX2V+9jFjRko5TiAa5cfh5EqUSAq6cvDPcaXsudJQiaCqukrC527G1hY6v3l3sNNjhJLBYCgTfioX2GbLzVAVr4ab4COH8oysb2L52KGURw+NTY1ie1O4+frLcfRhm8qeFGbOa8I+B/4B381ZKoGwRcuwKNOkKnHjkqaIVGBi5MTlR0G/alli/D6cV3P06PXVug6DFUJS7gjHK2U1Sb7j+CVXzg069STmp3K8Zt8J7IMr/PDQvzk8Ypytek5T8pdEC5rVr6/EhkVhpHvjhg0ahOH9B8im7Ofty5QNHYYaSC37y817hB9IUXla1kQKyZ5q2HYMTqpFAkuKeE+JUBHHtEjDoVGKxtw50poQmNZYzEVNLT9vomcM19O66rWsa4ugP+0YhiM2IBaPYdMxo/WsHN48Zl0F3mmDwWAoHcdCXIzh6PXXxTIrgXAsJMbZM7CyoO3P1MXc9ly5qAHQEg/nrUknluCaC47BCQeuLQdasLwxjLP+eCO+mPIdIlGKJL61l5Z08C0kpqdF4k+2Gf8KJAlRubDNRw2TFrSE6Upl5NiwU3y4pkd5lONUHaluUgG3ohQKy3ftUNxbMJDSHYcTd7U//SaX/OaIoApR7pGMJP+rFxp0jlpjjTgG9q2Fk27MlAstjrJTKawojdEolklWTztyfyWoWM8Ymt0m9chPNRLYnaOcJeLcRjjqYs7sWaphw7RWxmKoqqrS/lhOWiWHO4I7/d+zOGE175aL6l5V2HKjAYi1q5HaD7OzoX5ng8FgKBkxsjSwNdUxESkuEqmEMtQZ8m1tAfzWtO+1kHeG6HDeF6sRt904Hr8/dqwyWLN/AH5z0mV45pVJSEcrkLKklc/Rqp7x10bYbyUXppT4C2FJZbf2kH6o4JOL4Fmy6sdcyHV2Vpd0dg74gJJveXnVZ+bmsb9Hj92rq4mgQjJJWilq784qVcIeGP5l8x1dqbQkI/j6m6Wq5uaj39133kFilTi44adDnBJlSMASNRWLioBicRDX1JBC/Q/LpcwqtaX3qx6vYilhgEGCfrPn2OEQomEXffnZI3VK7vHVHSOUDAZD+YjlWHNgb4zZYDgSImZUC3UF8AVLPhwP5aaTopSW4twzjsCRB2yu9vMNt7Mm3IWnX/kI6VgNUmLwWe0ooabCKS8dxeLPxx+fVVtTgRHD+iHFL/AS7mYLurxoOx2refJ/WnjzpDxwVB51Bzn80H1RWVEhGkREvJd3tDzS+PmulLyXRYRYKoqZs+apt07JnrtL44EDybmRo0lkI5RAyGrB2sPXFE2UVLNlpxIxJFoobMJynI8ReSadL2pyAilC0G9afTCaPbq7jd0SEQ4NpBfv/66CEUoGg6E8aFfFcvTrE8KItXqJTUxzPKtHBxhIqVhU5eI04MpLx2HC7/dUWmS5iJMTTrsOj/zjbdjxPkhxoE+E74+FERbDb3sDzjnoW7+l13HGmuFxwOq6I4dhxJAealoCUWcqray0Oi4mw+oGxY4ag6YKhnrHADvtsJ4eMO246k1NlhGdJ+lH+1sRQlYEM+csUgO3Gdoeu45Gr5oYbNtmVgzAvOkgVtmCTTffAJYoGHZuvfqf9+EkbHYmqWTwnUotlkqFfikb9Hg2Ok5HEI+Hsf9eO6mj7MtS+9VWOWF3XoxQMhgMZeG3gjleZ59f7oweAweIJZENaaGqVionsBNP5QzH0EGKgZWTOBYkuWQJzht3LM74zQ5qCEhjCrjk0gfwwCPvqTfwki0NElULrFQCVkLOE+ckHdXD5KPqpQ6A18EB6xWVldhp7PaIW1IVMB5L5JsknN/B6+rwvi5btgyLFi3KOG53d5jFfMfqlBUqR8xVikYau9NYhNjFkqtgVgo+Uvv3sy8pYUat068PsNeeu6BFfgtHTY2RxZXWy8GH7Y7Ba9Xqac7knDvueABWuNLzy3QxxaWnj2VBjR2Uc7hQq1LQhgxdC+sM66MaNLwXXa1EmAknDQZDWdAIciApLUeL2NntfnUx/jdxqphcDmkWoeRWiA8RL+p1s6x5UUbVI38W6zC9iV9XrLmVDOHYQ3fEdZcehUqpZ2jSn3/pPdz34FMSRo3URCKmRCzRdHGkiDLaaRcp2U5aYbz9/mQsXNwsu/lekB9RboTZVOn9gWQG8B9MpOCELazVvxoT/3Mj+kQdiZXCUJ/LBw+88mComtw4V0fYi8Z7fdBBB2Hy5Mmq54L7eO979+6NP/zhD9hnn308390T/uq+I+xrYe/SMy/NwaGnjEcTH9M6bDhIfrB0T0xQPOlpNUpDjT1qXoiJbz6JUcPDqJATZ89P45q/3I0H7n0KS5Y0IRwJYfCwfjjp9KNw8lG7gMPp2Hy49rZ/4cKLH0E6UqXe02Sk/PSIHmCeTX0xdOOHM23psu2yfPO8VCOOP2ZvXHvu4agO6/JKK5EZw9WK9uPqbBihZDAYysIXSoR1wD0vfI5x465B43IRMDS66bgy6LqHSfsjbQmlCHfIPz7GchuaMeOjBzBkoJwTsKnsxImKIfZbq36bmNAkMy38HOgNd/0XF0y4WQKtlHT6vunT9+2T3VdYKPEoD4gUiobwp5MPwoRTf6EqnsK2njuDARWKc/Xjtttuw4knnqjEUT7XXnut/PbjpN5f/a+zJPJvgXfZ3M2c5t8FLhfNB355wkWY9NGX4oETs0ZkwV5TORooDMxjnnwqin80HZJCkGhGr2oL77z2MIZxFgLZz/zPGQIWLQQqpJ3SsxfQIAWkStoRDbL/tYkzcNBxf4TTUC1lLyxOzhLRRvFD4VO0AASgFwolrrC42rEokpKWNdaswv3/73zstFF/dRPU1BfypxsPhfDjKna881FM8hkMBkNBlHmjraMOkuXWY0Zho3XXloqA23wcJa1eq0WMOj9VWyrsGdK9Q3bERkIsE8+mQaajoRL7rlrGrJAYvW9ufZgu+quJxSWkGOw0R4usOJyPBiGRX3JNg/v1wi933UZ9iFQf9FwXJplMYsqUKTj55JMLCiH2NKVEvbKHqbsTzA5cMm/26gec8OsjUFtZKfsc0SWU8vm5tnSUtkonEY1Vo7GpBscccx1ee39WpuFgx4CBawJ1HDYo2/yw0BLJwqdPuA97HzwezY1Vsl/PN6ZSGWy5tAsLd0rKdbOcppsoyWWNCEke2H3sVtiSIsmDoeq+2K6D6VEyGAzlQYvhWw2xhxQ0f3vgPUy49HYsXsLeF0u0Bft2xHi7Yr09gnY52KNEsWWrCfukdZuOwk2GsMPWo3DMkQfL+V5E4knV1TRX8o8Vt+s6ah/X+RkVPgJLWjbuf/TfePW1j9T4EFf1M5FAhBm4T+9nGvLhPExK9NkWfn/Uz3H1BYeK/GoLP5BCca1+UARdcMEFuOKKK9Q2ByfnC6OrrroKZ511lrfVDcjPJ4GfmnfFz1H0pr45KMp9vyOuwguvfIJ4hZQV5m/VIMhSTo+SxQyfdlWPbrJZxJe9EL894nAcceD+qOsdQjiSRiRcgaX1jXjnv5Nw0V/ux8Kly1jApBHBR9HSeJAwgm+pltKjxKO6l1jKtVyDxZnv3SQGD+2Ff95zNTYaGoElhiCkulvbw48rcPM6OUYoGQyG0ilkLWQfW64n/uGv+NfT/0MjH4rZrCW4yHZatyWULIvCio8CpDKW0y2xuqG0VASqj0gqhURS9WCwklZjOkIixrjOPzH6IYnHhVTi7NYKR2CHayU4PcVA2+bYO5rXuuZW2pHwRAZuus36ePH+81AnSQnn1nF5+Den7RhXFxYuXIjhw4ejsbFRPXbbf//98cUXX+Czzz7zfHRDoRSEP3fgp6ZQ8nM7DzU6DqK2jZffnoXfnnoVFn2/HEmbj72yJ+m19oWST4hqhEJL8ntaykcoJC4l+TyZQjRGZyMaiWPh4h/oWTJstfZviYiSKFheGH9ObO2IJEIfaiwTe5OkjFIzxSItGDfuYJz92z1Ry7dAM5fFO8GNwM3JwY+v2PHOR9aKGQwGQ3v49i9oB8V4VootPvOUI9G3t5iUtKgmpYTaVBUasZnKCLOlqx6VhcTQc8CwGPNwHClbhJM4u6IGVrxalrW5rrJOOUsteyBcUYdoZa2YaraTabCLwePaj+qLYgVA60+LaHOPiDBZ71EbxR9POxJxqQjCPOZ3UHVxEokExo4dq95s4xtSlZWVePTRR73X0D1x6jmDJngnuF4l94p9mjtuMxgH7r2t9yI+j/BlBPrhH8V+W/k0iBZUStfw3kvxClkxWLFqNadYs1uNhmQNFi6zEIr3AeI9ASlLIRFn/Iwyz9HtAQqegCsZnkyRJgtpgGy1+QY486Q9EWcx5yEp9rrMMcxywu38sOgbDAZDWWhTSEMrQkMMML+EP2adKvz5yhMwoE+FCIoWWO10VtNG0wDRhZRICkuIUm24KRElEVj8TIPnqGE4WRM/G5IW56rBQrKe5gc5KWuSsiWepCZwE3wrjT1P0toWXxquZbfUFcgmKw79SIGTZmqx5Fpi8S0HVbUWTjr+APx8myFS4alaIDeIVuTHsfrBniP22j322GP4/PPPvb3AcccdpwQTxy3Rj++6NXk/dc4mbw07f6TRUCl58eLxh+GQX+0mIiMh/lwlum0O8Jb8lvn8T7tIDG5cwvTmPlKPvyQ0JwnbkjDDHD4tTQ6b759K+K4snbD34gUbBDpZKs/7655rD14be3LhsBHUhI3XH4qrLjoLNbI/Kg0LFYj3hof+XxXYzFYuKjS9uppghJLBYCgL3Quj+2xoBpUpFEuSEgGz326b4qyTDkHPHvxYrhjVsvBC48COH8OQiuHXdVREVmMSs8gr9oalmqUhbmOv/9sS55y2FyrkWjlFgEqbShYrATp1cpeCPUR8xHnHHXcgwjmAhIqKCpx++ulqUs98uptY4tX6rl1UhyofCacRk1v3x7P2xPZbjUJUlEpaxLwVahJdXiVZidNplIkkoKzOIEE3Cniq/KkGjnYlXo2HiwF9e+KcU47EZutYeloPVSiYIIblrSv89XLC75wYoWQwGMpEPzRQrVrvf5rCEMcliSE96tCdcNivxqKqir1D3CfH6KmDyD7yaS9Q309hv3oPU+6qN+2kaa5a+TG3GrtuPxKXXnCc1HXslWoRQym+WTOpk1qH1ZW488478dZbb3n3GLjvvvswePBgtR581Jb9HboX7Vb7SjyKU6+B6vvDfDRsQDWuv/p0bLzOGgin+GHduPhiLyZ7Xjoa/dtkfqMcx0Vbx3Od6j3kX0sz6npU4LorTsMBvxwB2+8w8l+4UOWCruthhJLBYCgLMa05fxpXiwlxVZVJXDXhMOy7xzaIV8RlnxjZIrWLV6Uo1xrf8K6EY++UctwuhlRXzUvFu6TCSWLsthvj/rvOwRq1FmKyKyJ/lj/VQLnN+NUAv1eIy9mzZ+P4449Xb7fR7bjjjth3333V8XxUBVrsh+3O+FmPIkPvEVHED+0Ao4ZW4MqLT0WfnlFmNSk1nEZj1Q9885KkHQVQENn0j/n423Tqd04kEY5FcPHpR2K/3Ueqa9EH/RU6n+B618AIJYPBsNKoN9HEnLD/xUGzGNImXHvZCdhph60Qi9piUHmEVlW7oN7Iahjf4NLRNNEF95Xr8s5Xj/SyJo+tZKZJDa2Iy3/pBMaMHo6bbjoRfFfIkhaz5djiwpJeWyoMPSsxz+xK+BUnlzfddJNaJ+wN5CO34HQABp2b2iaQ51QeY66z9JgkuZXbbNUPDz90DYYM6Q3XaZCjfo9SCXmr/chXDk7QKi5HALsOquuqcPWl5+LUw3dEJMG3QWW3P+tsK/xr7zpkrYbBYDCsABRI6hUcMfIcjh1HJSKIok8l8MRtv8EZJ+2HHnXSBuVkebb4EdEUVnPBeIZWDZzgce10KBzboWTMSrh8GA+dpFUNouU4EanIXAtVUQvHHr07Xv73xRjWO4poSr2Hl7GQ2bB8k9m1KgNWjHPnzsWtt97q7QE22mgj1ZtUaGxSd8X/1Uv55bU/9iWpwUpqB+8kpxoavVEV7rz3NOy9786w+YZnU1KWSRHlKSXQIQKd/U35To0NVGOLRLJLeK2dhMWpM9Qy95gPGync9HdR/KswpVzadI6kQ9LiuCk4qQQ22XAobrnqVPz+sHXZvQo7yvmYWBIkBCaTG16g2XD90NVBvboa45d6g8FgWCm0mGALWptLf8D3WafugX8/dDXWX7s3WlpakLAdJMU54tJ8w0wESyiU1A4pz7EHilJJ91Flt8t1wfM5LxMfEYpzxeKnI0hJa7nfoBr8/daLcek5x6gJJdMSPz81ISfIurhWdr5rGP8g7E068MAD0dDQoNZra2vxzDPPZI4Vo61jBtL6/nBPRHLWlmv3x42XnoBxpx2IHv0rVLZio4O9sxZYFlTuk52FHIWTLFfEyfkMO+i4n+IrKYlLWlICpSETlnK57y/G4N7bxuOQvTaQ83QI7eNfc+trX10xQslgMHQo/tglPm6oEKNbIQJoiw1649F7rsbRR+6OeJWYHQokES7at+6NUq1mVgBeJUCho/f7jtulu+D5ahZvWVK8cQZvTjEQEzG007Yb497bL8Je24/AAGnq8+Eh08RvzjlBPcRl17H7rXjzzTfx4YcfKuHD3iV+240fvW1qalJjlbjk1AB8I853nFOJfil+ecxQAkoMUSiFVM/SkLoQLhm3F6646ESst/YAxDmrPXt3mPck6yohKkvm1+CygHoX2sqkgf3qfIYlSwlPfaxX1pVg4vQFdgr9RbidfuJ+ePS2P2DU4AqVVnpvm2DcbaVl9cPMzG0wGMoj32J49pAyhP+rR3FBuNvzs9R18cwbs3H9jXdi+jfzsWhxM9KOVBthaUWrlm4WZZq8uEIiuMoleL6TSsKOROC0NCHcsxrD+vfGaccfjH12H4MBvfhIhDODM91h1fekRZY3PD2Q/q4KH7nxm24cj0QRtPbaa6Ourk4d8wURH8FxVm5OQulXG4MGDVJvxA0dOhT33nuvqth5vqEYFJTMTN7jTC9vJWT3rHnAg0++gTsffBJz5teLMhHBLiI1zHybklyp8qDkzczSe6SXAw8qD3kwIq8wyJLzj6nyKr+jq75EzZ7dZvTrU4FttxmDM049EhuP7IGYG4ZoN/WIjXPIlvbL+vEUSsfqiRFKBoNhxcizh7lCiUaYi4B15baoDjaKG8XX/U9MwpMvfIDX3p2MluXLdDi6FvDwwiA5+0slcL7roKK6BhuOGoyf7zwcp5x4ICpltyUt6LjFcSRMZOZCZJU9XqyIViTe1Y+bb74Zp5xyipo7ib1Dfs+SD8USJ5z08R+5+X7i8bjqdeK2f8zQNpTivFPsQE3LrVUffZYd0+a4+PNN9+E/E7/Bt7Nnq1nSSea+ylL9cer4VrQlZfw+IU8oeb9d2oqhV48a/N8Om+Dw/bfDbtsNhy3CzJZyQT2nioPy6K90P4xQMhgMHQbFEo24v1XMsvIIq9365cCrb3yCa269F7O/W4pFixqR8l/FF1/hsIWUk0IsGpVWdwKWbalWtgqXhpwhyTa/b8VWtxrEzcGsDmsfORwNo2ddFH1rQhh/xokYu+0GGNibYesqhb1FfHlH1Tn0T7jk60ltVjpdC77tduqpp3pbcj8CQokiiT1NvggKLn169eqF+fPnq94kI5TKRG6j/sBzCC4zoty+lGS/6d804clnX8UDjz+P6XOWoInfjVbfTtT3V83ELasOv2doywp3+z+J+h0s73ejcxCOhJFSossrX5aDwUN7Y6uNRuC0E36NDdapQaUcypQLpoPr9Oots7+4n4rugRFKBoOhLHTPEQ1lx5lK1gGfTG3EY48/jZlzFuGLL6fh2+/mi2iy0SQ1hDb6afX4LEGhpCpjL34OtnBCqIpzKLYrosdF3z49MWqDkejbrxaH7PtLjN2sNz/hpvSPaC19qmz71q9V3Z6znW8i8z2v/rz77rs4//zz5T5IZe09fmMPErd9ocSxSh988AGWLl2q9tMNGTJEPXrbeuutcdlll2X2G8qB+Yu9PNl8pu6gtCRcEUP1TcATz7yPSZ9MxTcz5uPLr77BD/XLkEymodoDIpKSnFGeZO69LNX8YXzUJ8fSCUTiEdTZcawzYiiGDlsDG248EgccuBPWrBXpJHHxiWmhJ9zcVWB3FywFxTFCyWAwlIV+m42GUv+tMOy0kYBogWjw7ajuZWqURu+875uxYKmD7+obMem9DzBx4v8w//tFWN7Ughb1CX+p0L1HQdFoFGv2H4jNx2yETUePxFpr1KJf7yr062Wjf1VUwpQKX8IPW7ZoKi0CFLwI3/p5uxT64jyCnkixamP1hVVAUNxQFHHbX/r3i4/kttxyy5xB31deeSXOOOMMNX7JF1iGctF5LL8q1r8J7yfn71avIGDuEheLlyRRL+6diZ9jztzFePfDTzHn+/nq/LCIWgbHoEJuCL36VGP48DWx7rpDMWb0KKxXMwAD+tro3ddCVM2kbyMlxYhFio/Es0LJT4u/DOb5rpX/S8EIJYPBUBYdLZQIG78cLMqQ+fCOEohVhP8QLhhL0HT7zofHeC6XPJ+SSm2IU2GrelyfkX+uT+4+7+QMxc7qOhSqEriPQmjTTTfFp59+mhFKV199Nc4888yMH125G8qHhSGLLgUqswrePZWfRY27llXmazXfI53s434S/OVa/4q6TNCr7wrjpyUQgSJ4RtshdDX8X8JgMBh+XAJ2lqs0/v6wagokOluMNh1f29eO215FIS7fVHM7LH4i4pff11JGnwMu5J+VDqnJ/fR5uhrxqwKf7mP6Ox4jkjoKNj+Yw3k/A/eU8415ZYCoGQK8QsAFz/DLDR0/aaxdWlxKXEvRcpMLfQSdn458133gXTAYDIYyWMmepCBBm6vEjG/wOSzbEzpexaA9lmuyPBkUSK4fJcVSdl271rTvozvg9zIFZ+mmMOJbcoaOoHge4533SwGP+hKKBEsH/fkuFz/ccsuOf47v/HDouhfm0ZvBYFhFBM12EQMbtD5F7a9fFfiUa/ANHQGrismTJ6sxShzYPWrUKAwbNgx9+/ZVx02P0o9Afm0duOXBUqIbAe2UPUPJGKFkMBhWETQtHWGsjVD6qWE1wTFKfAPO8BNihNJPghFKBoNhFRI01isKq4Dg+cboG7op7Qglf1MvO6LsGYhpmhkMhlUIjXRHGeqODMtgWA1ppwjkHm7Hs6FkjFAyGAyrAcbgGwwZChQHU0JWHebRm8Fg+AkwjwUMhp8GU/bKxfQoGQyGnwga7ELOYDAUouNKSTCklQ+tq2OEksFg+AnJN9jGaBsMbdFxJcSUt1IxQslgMBgMhq6Ar32M/ulQjFAyGAwGg8FgKIIZzG0wGH4iipkeM8jUYCgGS83Kl5Bg2TPlrT2MUDIYDAaDwWAognn0ZjAYDAaDwVAEI5QMBoPBYDAYimCEksFgMBgMBkMRjFAyGAwGg8FgKIIRSgaDwWAwGAxFMELJYDAYDAaDoQhGKBkMBoPBYDAUwQglg8FgMBgMhiIYoWQwGAwGg8FQBCOUDAaDwWAwGIpghJLBYDAYDAZDEYxQMhgMBoPBYCiCEUoGg8FgMBgMRTBCyWAwGAwGg6EIRigZDAaDwWAwFMEIJYPBYDAYDIYiGKFkMBgMBoPBUAQjlAwGg8FgMBgKAvx/YY6oUrKDeq0AAAAASUVORK5CYII=)\n", + "\n", + "**Constraints:**\n", + "* The graph is represented as an N x N adjacency matrix (1 <= N <= 100).\n", + "* The weights of edges can be positive, negative, or zero (-1000 <= weight <= 1000).\n", + "* Nodes are represented by uppercase letters (A to E).\n", + "* The graph may not be connected, and there might be isolated nodes.\n", + "* The graph can contain cycles.\n", + "\n", + "**Solution and Justification:**\n", + "\n", + "The algorithm handles negative weights by detecting negative cycles. If a negative cycle is detected during the N-1 iterations, it indicates the presence of an infinite negative weight path, and the algorithm returns an error. Otherwise, it finds the shortest path.\n", + "\n", + "\n", + "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtAAAAC+CAYAAAAcNjifAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAABhaVRYdFNuaXBNZXRhZGF0YQAAAAAAeyJjbGlwUG9pbnRzIjpbeyJ4IjowLCJ5IjowfSx7IngiOjcyMCwieSI6MH0seyJ4Ijo3MjAsInkiOjE5MH0seyJ4IjowLCJ5IjoxOTB9XX3T6n/tAAARxUlEQVR4Xu3dP04c6dYH4Pa3DITQCFgDAcKEhgVMABM5sgSxZRKHTmABIE3kaCCYBQCBA4MIWINBFkJsw5/PS5VvD2Y8fg1N1el+HqnuW1RzuX9+XVWnqs5b8+zLVwMAAOCn/F8zAgAAP0EBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAFRTQAABQQQENAAAVnn35qll/NM+ePWvWAABgNEZQxv6UkRXQXf0P4uHkl5fs8pJdbvLLS3Z5dZmdFg4AAKiggAYAgAoKaAAAqKCABgCACgpoAACooIDm0czPz5cZsQcHB80W+mxnZ6fkdXe5vLxsfoO+i31Nfvn8274X2+m3f8tudXW1+Q0mhQKaR3F6ejq4uLgYrKysDN6/f99sJYN4BVC7RH5zc3PNJ/RZnLDX19fLftfmF+uRnyI6h+F9L7Lb2toqNyLov+HsYjk8PGw+YVIooHkUf/3112BjY2Pw8uXLwdHRkRN4Um/fvi1jXBDRX3HnOfazk5OTwezsbLN1UNbjZD68jRwisyiiY9nc3Gy2An2lgOZR7O3tDf7444/B2tpa+fnvv/8uI/D44kInnhYsLS01WxgHUUTHjYg4ngL9poDmwdqe5/ZkHif2P//8s6yTy7t370oLgMKs3+IupbvM42l5ebmMngJBvymgebDoeY67Jq1o44gTvBNADsMTYaItIIpo+qttj/rtt9/KCDy94eNmLNoWJ48CmgeJg0YUXe1dk9C2cURfNP03PBEmempjYpoeTOjW1NRUs0YfDR83Y/FEaPIooHmQttc5iq7hq/Ggjy+faN3Qg9lvcaKONpsPHz40WxgnHz9+LKOCDPpNAc2DRK9zFFx3r8bjTmbwTmh4fC9evPC2mzEVF6/DLXFAPymg+WXtu5/j7Rt3tZPQ2rsp5BCZOoH33+7ubrkLfd87n/Vj5hSZRXaRaeQL9JsCml8WPc4/emODVoAchltvnj9/Ptje3nYCT+DTp09lH4t9cDhDb+jIYzi3yHF/f7/kSv8NZxeLfwDO5Hn2JZ63P7L4Mo3gz/JE5JeX7PKSXW7yy0t2eXWZnTvQAABQQQENAAAVFNAAAFBBAQ0AABVGNokQAABGqatJhN7CwXfkl5fs8pJdbvLLS3Z5dZmdFg4AAKiggAYAgAoKaAAAqKCABgCACgpoAACo0IsC+uDgoMykbJfV1dXmEzKQX047Ozslr2Hz8/Nl2+bmZrPlfyLXu9kO5z68MFqyy01+ecmOVucFdHwZ19fXBxcXF+VVJLEcHR1994Wjn+Q3nvb29gaXl5fNTz+2vb39Lft2oTuyy01+eclusnReQG9tbZUv0uzsbLNlMNjf3y9F2M9+EemO/MbPxsbGYG5u7t67KfSb7HKTX16ymzydFtCnp6dlXFxcLGNrYWGhjOfn52Wkn+Q3vt69e1cugtqMyUN2uckvL9lNlk4L6Ovr62btfldXV80afSS/8bW2tlbuprx8+bLZQhayy01+eclusvRiEuHU1FSzdmu4HYD+k994ev/+feltj0miPxJtPMMTYfS/d092uckvL9lNjl4U0Dc3N83aLb2zuchvPC0tLQ1WVlbKJNEfuTsZ5vDwsPmErsguN/nlJbvJ0WkBPT093azdb2Zmplmjj+Q3/nZ3d8sYb1shF9nlJr+8ZDcZOi2g40otnJ2dlbHVTj5rJ6PRT/Ibf9GOE7PL43EjucguN/nlJbvJ0HkLR/slax/7xxiPPmK7Xtr+k9/4a++mxOxycpFdbvLLS3bjr/MCOr5kUWzFzNVopI8xeoPaLx/9Jr/JEO/2JifZ5Sa/vGQ33p59ie71RxaF1Aj+LE9EfnnJLi/Z5Sa/vGSXV5fZ9eItHAAAkIUCGgAAKiigAQCgggIaAAAqjGwSIQAAjFJXkwi9hYPvyC8v2eUlu9zkl5fs8uoyOy0cAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUKE3BfTp6WmZTbm6utpsIYuDg4OSXbvIMI/h3GKJLMlBdnnt7OyUzIbNz8+XbZubm82W/4lj6t3j6nD2wwujJTtavSig48v1/Pnz5icyiYPJ+vr64OLiorxKJpajo6PvDhj0T2S0v7//LbeNjY2SpUKs/2Q3vvb29gaXl5fNTz+2vb397TvQLnRHdpOl8wI6CrAouKIAW1lZabaSxdbWVjkQzM7ONlsG5cQemf7sgYRuHB4eDtbW1pqfBoPXr1+X8ePHj2Wkv2Q3nuJCaG5u7t47mfSb7CZP5wX0mzdvypXXcAFGDtF2ExYXF8vYWlhYKOP5+XkZAfg57969Kzcg2uMrechusphEyC+7vr5u1u53dXXVrJFBe8GzvLxcRvKQ3fiIJwtxJ/Ply5fNFrKQ3WRRQPNgU1NTzdotTxNyevv2bTn4D7cGkIPsxsv79+9LW+N/9bRHC93wJDRzT7onu8mhgObBbm5umrVbep/zib69OOgfHx83W8hCduNnaWmpzAmKiaE/cnciWvTG0y3ZTQ4FNL9senq6WbvfzMxMs0afRQEWs8dPTk48PUhGduNrd3e3jDHRnlxkNxkU0PyyuNIOZ2dnZWy1/ZjtZEL6Kw7wbQHW5kkOshtvcUEUb3aIR/3kIrvJoIDmQdqDRNu2EWM8uort7oj1WxRgkV28dlABlovsJkN7JzPe7EAusht/nRfQcSJom+jjixZL+7Ne2v6Lg0T7/svILMbo7WoPHvRXe3ckLnjafc6+l4PsJkdcJJGT7Mbbsy/Rvf7I4iA+gj/LE5FfXrLLS3a5yS8v2eXVZXZaOAAAoIICGgAAKiigAQCgggIaAAAqKKABAKDCyN7CAQAAo9TVWzi8xo7vyC8v2eUlu9zkl5fs8uoyOy0cAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUKEXBXTMohxeDg4Omk/IIPIazm91dbX5hL4bzi0W+14esstNfrltbm7+I7/5+fnmEyZF5wV0FFv7+/vlNSSxbGxsDNbX1x1MktjZ2Sl5XVxcfMvw6OhIEZ2AfS8v2eUmv9yiWD4+Pv6WXyyfPn1qPmVifA3+0T3kz34txMq//+sBpdnCU6vJL353e3u7+enW1xND2R5Z8rTse3nJLjf55VWTXZzvHpI1j6vLLPRA88tOT0/LuLi4WMbWwsJCGc/Pz8sIAOPgw4cP5YkB9K6Abouu5eXlMtJf19fXzdr9rq6umjUysO/lJbvc5JdHtCiG4f7nWNobSkyO3v2jvNtGfP1E3fnZ/KJfr+1/np2dbbbeir+xvb09ePPmTbOFp2Dfy0t2uckvr5rs4nfn5ub+kVVMKNzb27v3XMhoPWS/e6he3YGOL2F8AaM5nzxubm6atVuXl5fNGlnY9/KSXW7yy+fVq1fN2q3Xr1+XUdviZOlNAd1ewZ2cnLiCS2J6erpZu9/MzEyzRp/Z9/KSXW7yy+nz58/NGpOsFwV0vAqtPYgsLS01W+m7Nquzs7Myttqr8HYyIf1l38tLdrnJL6eVlZXvnrK2T2H/66YSY+bLCNT82faVMPHqM/qhJr947VL8/kXzyroY42evY+qGfS8v2eUmv7xqsmtf0zqc3dzc3JevhXXzE0+pJrvH1vkkwvjdfxN9YR5rPb3apvz2MWTL5MHu2Pfykl1u8surJrsQTw+2traanwbltXa7u7vNTzyl2uweU+/ewkH35JeX7PKSXW7yy0t2eXWZnX+QCgAAVFBAAwBABQU0AABUUEADAECFkU0iBACAUepqEqG3cPAd+eUlu7xkl5v88pJdXl1mp4UDAAAqKKABAKCCAhoAACoooAEAoIICGgAAKvSigI5ZlMPLwcFB8wkZRF7D+a2urjaf0HfDucVi38tDdrnJL7fNzc1/5Dc/P998wqTovICOYmt/f7+8hiSW7e3twfr6uoNJEjs7OyWvi4uLbxkeHR0pohO4u+9tbGzY95KQXW7Oe7lFsXx8fPwtv1g+ffrUfMqk6LyAPjw8HKytrTU/DQa///57Ga+urspIv21tbZWD/+zsbLNlUE4MUURfXl42W+iju/ve69evy/jx48cy0l+yy815L6+4aRQ3jBTM6IHml52enpZxcXGxjK2FhYUynp+flxEAxsGHDx/KEx/oXQH94sWLMr5586aM9Nf19XWzdj93U3JpL3iWl5fLSB6yy815L494uhqG+59jaW8oMTl6UUBHP1H7JWx7acljamqqWbs13M5BHm/fvh3Mzc3949EyOcguH+e9vO72P8cd6efPn2tbnDC9KKCjl6j9Ikb/bBxQYoYrOdzc3DRrtxxE8on9LU7icWIgF9nl5LyX16tXr5q1W+0cBG2Lk6V3LRxxB2VlZWWwt7fXbKGvpqenm7X7zczMNGv0WZy0Y387OTnx9CAZ2Y0H571cPn/+3KwxyXo5idCJIIelpaUynp2dlbHVXoW3kwnpr5hR3hZgbZ7kILvx4ryXQ1zo3H3K2j6F/a+bSoyZLyNQ82fjdy8uLpqfvnz5ejIo2zY2NpotPLWa/CKn4QxjlF93arLb3t4uv7+/v99soUuyy60mv/hd573+qMku9rm7+97c3NyXr4V18xNPqSa7xzaS/+Rf+TIOL3FyoDs1+YW2iJZf92qyG87s7jJ8cudpxP/vP+tuXsOL7LoR/9//LOe9fqnJLrQXsO3iwqc7tdk9pmfxL1//CzyqmAwxgj/LE5FfXrLLS3a5yS8v2eXVZXa97IEGAIC+UkADAEAFBTQAAFRQQAMAQIWRTSIEAIBR6moSobdw8B355SW7vGSXm/zykl1eXWanhQMAACoooAEAoIICGgAAKiigAQCgggIaAAAq9KqAPjg4KDMqYyGP4dxiWV1dbT6h74ZziyWyJAfZ5Sa/3DY3N/+R3/z8fPMJk6I3BfTl5eVgfX19sLKy0mwhg52dnZLbxcVFeZVMLEdHR4roBCKj/f39b7ltbGyULJ3I+092ud3Nb3t7W36JRLF8fHz8Lb9YPn361HzKpOjNe6DjgDI7Ozv47bffBltbW9X/fh5PTX7xu3Hwf/PmTbPl9o50W1RHpjydX9n3WnEROzc3V4qx3d3dZitPRXa5PUZ+d4+lPI2a7OKmkRqlPx6y3z1UL+5AR8EVdy0d+HM5PT0t4+LiYhlbCwsLZTw/Py8jAIyDDx8+lAtV6EUBHXcr43EWuVxfXzdr97u6umrWyKC94FleXi4jecgutxcvXpTR3ef+i5t9Ie58Di/tDSUmR+cFdDTiR9/z2tpas4VspqammrVb2jZyevv2bXmMbF/MR3b5RB9tW3y1c0jI4W7/c9yRfv78eWnFYXJ0WkDHFdve3p7WjeRubm6atVsOIvnEhWycxOPEQC6yyykmnbUFWDyBjUI6sqT/Xr161azdev36dRm1LU6WTgvos7OzMsadk/ZKPJrzg4NJ/01PTzdr95uZmWnW6LPYz+JC9uTkxNODZGQ3HuLJQTyJjSzpv8+fPzdrTLJOC+jo9xp+DBJLzEIOse7OdL8tLS2Vsb0QarVX4e1kQvorZpS3BVibJznIbry4AMohLnTuPmVtn8L+100lxksvJhGSV/R+xVOD9oASY0wKje1OCP3Wvo4pHh8rwHKRXW7xhHW4CGvbGb3dof9evnxZJhIOv7M7tkVhbV+cLL15D3TLOxa7V5tf+xi55V2m3anJLn7333iH99OTXW41+bXvyh/muNmdmuxCW6e04sLHE/Nu1Gb3mHpXQNM9+eUlu7xkl5v88pJdXl1mp4UDAAAqKKABAKCCAhoAACoooAEAoMLIJhECAMAodTWJcCQFNAAAjCstHAAAUEEBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAFRTQAABQQQENAAAVFNAAAFBBAQ0AABUU0AAAUEEBDQAAP20w+H/NuTe3QEq7oAAAAABJRU5ErkJggg==)\n", + "\n", + "* Choose path value 0 for the source vertex and infinity for all other vertices.\n", + "* If the new calculated path length is less than the previous path length, go to the source vertex's neighboring Edge and relax the path length of the adjacent Vertex.\n", + "* This procedure must be repeated V-1 times, where V is the number of vertices in total. This happened because, in the worst-case scenario, any vertex's path length can be changed N times to an even shorter path length.\n", + "* As a result, after V-1 iterations, you find your new path lengths and can determine in case the graph has a negative cycle or not.\n", + "\n", + "\n", + "**Pseudocode:**\n", + "\n", + " function bellmanFord(G, S)\n", + " for each vertex V in G\n", + " distance[V] <- infinite\n", + " previous[V] <- NULL\n", + " distance[S] <- 0\n", + "\n", + " for each vertex V in G\n", + " for each edge (U,V) in G\n", + " tempDistance <- distance[U] + edge_weight(U, V)\n", + " if tempDistance < distance[V]\n", + " distance[V] <- tempDistance\n", + " previous[V] <- U\n", + "\n", + " for each edge (U,V) in G\n", + " If distance[U] + edge_weight(U, V) < distance[V}\n", + " Error: Negative Cycle Exists\n", + "\n", + " return distance[], previous[]\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT was helpful in clarifying the Bellman-Ford algorithm's handling of negative weights and negative cycles. It provided insights into potential edge cases involving negative weights, enhancing the problem's depth and complexity.\n", + "\n", + "This task highlighted the importance of accounting for real-world scenarios, such as negative edge weights, in algorithmic problem design. It emphasized the significance of clear problem constraints and the need to address potential edge cases to create well-rounded problems.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rb0R_Z-wlujf" + }, + "source": [ + "#### 3.\n", + "**Problem Statement:**\n", + "\n", + "You are given a directed graph G = (V, E), with a positive integer\n", + "capacity ce on each edge e, a designated source s ~ V, and a designated sink\n", + "t ~ V. You are also given an integer maximum s-t flow in G, defined by a flow\n", + "value fe on each edge e. Now suppose we pick a specific edge e ~ E and increase its capacity by one unit. Show how to find a maximum flow in the resulting capacitated graph in time O(m + n), where m is the number of edges in G and n is the number of nodes.\n", + "\n", + "**Input:**\n", + "\n", + "* G=(V,E): The original graph with edge capacities.\n", + "\n", + "* s: The source node.\n", + "\n", + "* t: The sink node.\n", + "\n", + "* e: The specific edge whose capacity is increased.\n", + "\n", + "**Output:**\n", + "* Maximum flow in the updated graph G'\n", + "\n", + "**Constraints:**\n", + "\n", + "* 1 ≤ Number of nodes ∣V∣≤1000\n", + "* 1 ≤ Number of edges ∣E∣≤1000\n", + "* 1 ≤ Edge capacity ce≤100\n", + "\n", + "**Solution and Justitification:**\n", + "\n", + "* **Step 1: Create the Residual Graph**\n", + "\n", + " * Construct the residual graph Gr from the original graph G, considering both forward and backward edges. For each edge e(u,v) in G with capacity ce, add two edges to Gr:e(u,v) with residual capacity ce−fe and e(v,u) with residual capacity fe (where fe is the current flow on edge e).\n", + "\n", + "* **Step 2: Modify the Residual Graph**\n", + "\n", + " * If e(u,v) is the specific edge whose capacity is increased, set its capacity in the residual graph Gr to ce−fe+1. Otherwise, keep the capacities of all other edges in Gr the same.\n", + "\n", + "* **Step 3: Find Maximum Flow in Residual Graph**\n", + "\n", + " * Use Breadth-First Search (BFS) or Depth-First Search (DFS) to find the maximum flow in the modified residual graph Gr. Start the search from the source node s and continue until no augmenting path can be found.\n", + "\n", + "* **Step 4: Output Result**\n", + "\n", + " * The maximum flow found in step 3 represents the maximum flow in the updated capacitated graph G'after increasing the capacity of edge e.\n", + "\n", + "**Proof Of Correctness:**\n", + "\n", + "* Residual Graph Construction: The construction of the residual graph is based on standard rules, ensuring that residual capacities are non-negative and satisfy flow conservation.\n", + "\n", + "* Modification of Residual Capacities: Increasing the capacity of edge e by one unit ensures that the augmenting path can utilize this additional capacity.\n", + "\n", + "* Finding Augmenting Paths: The BFS or DFS algorithm finds augmenting paths by exploring edges with positive residual capacities, ensuring that the flow can be increased along these paths.\n", + "\n", + "* Termination: The algorithm terminates when no augmenting path can be found, indicating that the maximum flow in the updated graph has been achieved.\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT assisted in understanding the intricacies of graph algorithms, specifically in augmenting flows.\n", + "\n", + "One of the main challenges was maintaining the essence of the example problem while adding a unique twist. Ensuring that the modification (increasing the capacity of a specific edge) did not alter the fundamental principles of maximum flow algorithms was critical.\n", + "\n", + "I learned that even a seemingly minor change, like increasing the capacity of an edge, can lead to profound algorithmic implications" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "re1tvh8rkw79" + }, + "source": [ + "##### 4. \n", + "Given a flow network, let f be any flow and let (A,B) be any cut. Then, the net flow across (A,B) is __________ the value of f.\n", + "\n", + "\n", + "1. Lessthan\n", + "2. Greaterthan\n", + "3. Equal To\n", + "4. Not related to\n", + "\n", + "**Answer:** 3\n", + "\n", + "**Explanation:**\n", + "\n", + "* In a flow network, a cut (A,B) refers to a partition of the vertices into two disjoint subsets A and B. The net flow across the cut (A,B) is calculated by summing up the flow values of the edges going from set A to B and and subtracting the flow values of the edges going from set B to A.\n", + "\n", + "* Regardless of the specific flow f, the net flow across the cut (A,B) is equal to the total flow entering A and leaving B. This net flow is always equal to the value of the flow f in the network, as flow conservation ensures that the amount of flow entering a set of vertices is equal to the amount of flow leaving that set. Therefore, the net flow across the cut (A,B) is always equal to the value of f.\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT assisted in the formulation of a complex multiple-choice question on flow networks and minimum cuts. By discussing key concepts, I clarified the question's requirements and received guidance on crafting plausible yet incorrect answer choices, adding depth to the problem.\n", + "\n", + "The challenge was in achieving a balance between complexity and clarity, ensuring the question tested deep understanding without becoming convoluted. This task highlighted the importance of precision and unambiguous language in problem design. It underscored the need for questions that challenge students' core knowledge, fostering a profound understanding of algorithms rather than mere memorization. The experience emphasized the value of tools like ChatGPT in creating effective and insightful algorithmic problems.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vqz6A23wn-P2" + }, + "source": [ + "#### 5.\n", + "**Problem Statement:** \n", + " Given a weighted directed graph, where each edge has a capacity and starting node S and ending node T, find the maximum flow from node S to T using the Push-Relabel algorithm.\n", + "\n", + "**Input:**\n", + "* A weighted graph with starting node S and ending node T.\n", + "\n", + "**Output:**\n", + "* The maximum flow from S to T.\n", + "\n", + "*Sample Input:*\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "*Sample Output:*\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "**Constraints:**\n", + "* Edge capacities are positive integers (1 <= capacity <= 100).\n", + "* Nodes are represented by uppercase letters (S to T).\n", + "* The graph may not be connected, and there might be isolated nodes.\n", + "\n", + "**Solution and Justification:**\n", + "\n", + "Push-Relabel algorithm is used to find the maximum flow from node S to T in the given weighted directed graph. We Implement the algorithm using techniques like vertex relabeling and edge pushing to achieve the maximum flow.\n", + "\n", + "Initially the Flow=0. Let's take an augmenting path S-A-D-T and the capacity=8 So, we have to update the values of this augmenting path\n", + "\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "\n", + "Now, take an augmenting path S-C-D-T, and the capacity=2\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "\n", + "Take an augmenting path S-C-D-A-B-T, capacity=4\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "Take an augmenting path S-A-D-B-T,capacity=2\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "Take an augmenting path S-C-D-B-T, capacity=3\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "Hence, the maximum flow = 8+2+4+2+3 = 19\n", + "\n", + "*Reflection:*\n", + "\n", + "\n", + "ChatGPT played a crucial role in clarifying the Push-Relabel algorithm's intricacies. It provided valuable insights into optimizing the algorithm for efficiency and accuracy.\n", + "\n", + "The main challenge was ensuring that the problem remained non-trivial and reflected the essence of the Push-Relabel method.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "5u8e6sISDzrJ" + }, + "source": [ + "#### 6.\n", + "** Problem Statement:**\n", + "Let G = (V, E) be a directed graph, with source s ~ V, sink t ~ V, and\n", + "nonnegative edge capacities {ce}. Give a polynomial-time algorithm to\n", + "decide whether G has a unique minimum s-t cut (i.e., an s-t of capacity\n", + "strictly less than that of all other s-t cuts).\n", + "\n", + "**Input:**\n", + "\n", + "* Directed graph represented as an adjacency list G=(V,E).\n", + "* Source node s and sink node t within the graph.\n", + "* Edge capacities {c e} indicating the capacities of edges E.\n", + "\n", + "**Output:**\n", + "\n", + "* True if there exists a unique minimum s-t cut, False otherwise.\n", + "\n", + "**Constraints:**\n", + "\n", + "* The graph G is a directed graph with positive edge capacities.\n", + "* The source s and sink t nodes are valid nodes in the graph.\n", + "* Edge capacities ce are nonnegative integers.\n", + "\n", + "**Solution and Justification:**\n", + "\n", + "* **Step 1:** Compute the maximum flow in the graph G using any max-flow algorithm (such as Ford-Fulkerson or Edmonds-Karp) from source s to sink t. Let the maximum flow value be F.\n", + "\n", + "* **Step 2:** Modify the capacities of all edges in the graph by subtracting a small positive value ϵ from each capacity, where ϵ is a very small positive number (close to zero). This ensures that no edge has its capacity reduced to zero.\n", + "\n", + "* **Step 3:** Recompute the maximum flow in the modified graph with adjusted capacities. Let the modified maximum flow value be F'.\n", + "\n", + "* **Step 4:** If F' < F, return True. There exists a unique minimum s-t cut in the graph. If F'=F, return False. There are multiple s-t cuts with the same minimum capacity.\n", + "\n", + "**Proof of Correctness:**\n", + "\n", + "By reducing the capacities slightly in Step 2, we are effectively creating a situation where the original minimum s-t cut is the only s-t cut with reduced capacity. If F'< F, it means the original minimum s-t cut is unique. If F'=F, multiple s-t cuts have the same minimum capacity, indicating that the original s-t cut is not unique.\n", + "\n", + "*Reflection:*\n", + "\n", + "\n", + "ChatGPT helped me to grasp the keyinsights of this problem and develop a unique algorithm to solve it.\n", + "\n", + "This problem highlighted the relationship between flow values and capacities in graph theory.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "1CAJbqCXXn1z" + }, + "source": [ + "#### 7.\n", + "\n", + "\n", + "**Problem Statement:** \n", + " Given a weighted directed graph, where each edge has a capacity and starting node S and ending node T, find the maximum flow and the shortest path from node S to T using the Ford-Fulkerson algorithm.\n", + "\n", + "**Input:**\n", + "* A weighted graph with starting node S and ending node T.\n", + "\n", + "**Output:**\n", + "* The maximum flow from S to T.\n", + "* The shortest path from S to T.\n", + "* If there is no path from S to T, output \"No path exists.\"\n", + "\n", + "*Sample Input:*\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "*Sample Output:*\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "**Constraints:**\n", + "\n", + "* Edge capacities are positive integers (1 <= capacity <= 100).\n", + "* Nodes are represented by uppercase letters (S to T).\n", + "* The graph may not be connected, and there might be isolated nodes.\n", + "\n", + "**Solution and Justification:**\n", + "\n", + "Ford-Fulkerson algorithm is used to find the maximum flow and shortest path from node S to T in the given weighted directed graph. We implement the algorithm using techniques like residual graphs and augmenting paths while ensuring the alogorithm has the maximum flow while finding the shortest path.\n", + "\n", + "\n", + "Select any arbitrary path from S to T. In this step, we have selected path S-A-B-T\n", + "\n", + "1. Select any arbitrary path from S to T. In this step, we have selected path S-A-B-T.\n", + "2. The minimum capacity among the three edges is 2 (B-T). Based on this, update the flow/capacity for each path.\n", + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "3. Select another path S-D-C-T. The minimum capacity among these edges is 3 (S-D) and update the capacities.\n", + "\n", + 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C99AcrapytIQpo2KeB0j5LY0xDsO12HroRrx7HgyPQkX08aWobo4jIDpIhDw7sHQWw7U9493eDrh7Cw9YX9d/r+5N94VZcuVwgzjWfni3JCbsICTNkJIW8U4WOOKOHmz3LBNkFWYltvz985b+2H/IIg3Te/QQqc5pRxjzwKBBkxVZ2W8t0INpiEXcuYLtt9MGeUiIinY4MXyGZWP9fUlWFtbjHqxbLw1q/4qxJbOHGoi0NIEN+H1xMtyNXrM0caBbzCfe/YZ7N61E8lEQkSn+3fhx5tPu8ICPz1FagtdxaYcYhywujmQTsJM0uNyYKdTiAQMiUoXQ4aIBDKiHRsp20CLxOe+Ew0IBv0f7Rpf3LI5MgjiTdM7tNBpTimNic4NIIWpnQHNgQaQs2bQgAUCroiX19WdOGI1G8SlOx61cCQK1Mk2+1/yVhyfNXeciaC4Ba5lijfIJWXE6PVS7Go5kfEAh+K2ffs2rFr1DPZn1rrris7iTZVVMtvt4Ivv9P2y3Y3z30jcGCmErSRCVgolVhrFLUdx7pA0JhRLHDsSg25Cjrs4UAPsltJL3JZ9PYi37DRVMwjiTdM7tNBpTilNcQ4m6B0ujaPYOIbKYAKTyoOtQheTz3W7ErCNoBi1ANbuTIB9D2ja6DmMKDVRUSbXikE13HRvNU6hqkUHCfF4DFu2bMbq51ah5sSJTr27Rom3fEd69RqZACTw47zxYVwx08DV04GrZpi45cIReOX5w1HGoQeGhWarCFsaDTy2IQqnaCgMNSdo4Sko+/kGU7xpeoYWOs0pRXVEEetTuKnKwvA6qkScFiyaVooSSb0qAcvNYhI27W9GPM22HQsb99WhWX6HdpttPEXi1p03rRxGigPIWcIX+WNxvxckOvbKGHCwSjc71NfX44UX1qjA6sxc+Cd36r0RdbDA98lTpbTCAsjCyWW4YnoQ104O4/JJYcwa4qIUNgLyTLZr4qn1R/C7x/fhkHjpDiNTfqPTZ+iGwRBvmt6hB4xrTimffrgJUdNf8drrkEByqytVO1oW/Eo7GpFS+YhgPd52dSWqZB/Po/178UQav13ThBZDzKQoaZHbjJsXlWNedUB+xRv7dUKM508eOYJj6WqkraDqqdkbz67EacAiawOKnfrMnjMPDlEg9NAKaYPLJhyOYOSoUZgwYYLaJp+SeGuxKloLKX588VPt80Uu94XKfrarlqdr8barqjFJ3Y6+ufLPVfx7V3jrEVrcy/s5porXOsfBliPNeGaXi0OxCFLgVGDefDr8Rb+k7v+J3MeQL12V2A344tWlmW+aswnt0WlOKcXs799KxjrlgQYqOyg7Kqdb4hLOGR1EpXxl4uV+hoN1USQDEVgWe+iJV2eEcPiEeG9EBC4g1w6RzZljSsVbCHpLuWhahTA7JJMJNDVx+HYbfrwxxhxKSebFc+WIQoeDtKJ+h+vHAftbktjWlMLOpjS2S9gbdcHOkTarlyWCy0MmFo8vx2sWVmBkII50pmlViSEfJgfv+drgeX4oCmhzd7aiPTrNKeVbK6PYH2srVVPEaDDVZze4qTSq7Ra8ZlER5o0LKavG9eZYBfbYlnrsauFQA1tVizlS8p8Qacbls6q9kj8NuGFjwwkTv30mKl6lPEMP7bPP2HAzbp9Lv2LgNvqw1yWhsGVTVVWF6TPO6TBYnfG2Ny7vTJ3exYsrxKOTU1KMD9PAz1cexd6YxKXNKmcT4WAAFaEYrps/DFPLXARZSJEL0nKfZ484uG+trbw6H/8Rc/6MvEwoasb7l+Vf008zuNFCNwBpbGxEfX2dlG5tMUhlYpyGqAl9u+Pw4UNqpvviomLMmz8/s9ejpaUFtbU1akLh4uJiDBvG6Xf7n1++EMeLNcWZb21Cl+sU5CZKHrbSCUwO1+H2K0eiIlM4Z+mdVZBx+c6WJY63ItzP4cYh2eBvWCJylKUax8JPHjmME+5wJF1WlPWceUOjuG1+/jXkBgr/fOQf6tMXupKSUowfPx6jRo9RU5Dl8vO1cayVeFPRlBtZ2XQqdDUidEMzQicenXzERaV+9GQDtknBh14iKzLZduqmkxgfbMB7LxsuXhg9dIk7N4CDCRfffyKOFjuizs/S4YKErj/j7WTlwbq6WiQSScmDRRg1anTmiKavaKEbYPzlL3/GXyX4Boql7nHjxuMjH/2YEqiu+OxnPo29e/fg+utvwKtf89rMXuBvf/sr/vbXv0im9cYZ8Z5jx47D+9//ATUVVX/y8PY0/rmHPec8fKHLJdfDYztbCZK4ZpqLS6aK56b28h3IibkpOPva1lNSYhwtEUMTj21vwZO7Aog5YTi9SP3XT0ni8sndG7UzGV/oyLjxEzBt2vQuDfU/dqTxj70hpWM9rar0hO6ECN2wjNBJ6cM11QriP3qcQlcOW7w7y+VklOInSwFkSLIWH7iiGuUlXnSy6vGYCN0PVsZQky5SQpdNIULXX/F2KvIgGS2Fjv+84w6MGMG1ODR9QVdaDxBYgrzrzq/iz3+6X3ldzGQM3GbG+fjHP4ajR49kzu7Ili1b1HnBYFBKkgsye4Gf/eynuP+P96m1zLLvyeVfvvyVL6l10fqTcVWWGAYpucu2KpUXaDSV0ElhfOb4sCRaz8DwX3ZhSMotOJTAD1wQJ54JPMaO8fw91dnBtXHehGI1NVguhVSf0osYWT6wRY7QONNjWLL0QsyceU633si4SkuKCXyL3nvPddx6hufB06Q74q+p1cepfW4IQdtAiZtCVZkBjiTg7/CnqI0hsVaGQ2+zgIjKoT/i7WTlQa5VmJsHGQ4ePIDPffYz6jpN39BCN0B49tlVratTl5WX47rrXo6bXvFKtV4Zaaivx8oVK9R2LsyIzEikvKJCVVGRQ4cO4sknHlfbLIn+94c/iru/9R2cv3iJ2nfi+HHcd9996vr+YmgRB3tzBXAxXmJ81OrTOUYzW3CUkVPfHQwvjqIkKOKYMXQUyk3HkrjnkeP4+mNp3PnvJL7xaAO++u9afPFfLbIvhnv/fQwb65Jyn6C6LmhYqJR7jK2k9yBGSm7Vnc2msXXkIV3ZCMv51Zxcc4Azf/5CzDn3PNUWVwjDJN6KxOviu2DHngCThLwG/730FF7OEJRiScBuki0bQdNGOOhihMTzNQuHIGylVXtrWgpGTRL2x13UildHL1x0QIWu6O94Oxl5kMLnL8jLPHjNNdfitje/BSNHjlL7YrEY/njfH9p5epqeo4VugPDsqlWZLeCOOz6A177u9XiFZLJXvfo1mb3A+vXrM1vtYSlz//59apsZiSVK8szTT6tPcvnlV2D27NmokEzIc3yOHT2q1kfrL6oiBopF6JR3JZaOBjPX/CiPTYyT7+zRYEWcGBZOKldL72RzsN5FjV2Mo4kAjsRDOJIowtF4iQqHmiM41FKMHUdsZRVVeV42S+W+i8aVqHtmi2z2djY214wRsyxPhJA4FEMinZw4gKgeOjSzVRh+vDG2VLzJe+y1bDBC5X/WYt60qALvvrgY77nIwFulfHX7hRZuuagSkypEBC1b/L2khDiilokVmyW+2BGlwNff3/F2MvLg73/3O/XJ4SBcFf71b7gZl112OW659U1qP6mrr+vXPHg2ooVugPDKV70ar3v9G1Rpb+rUqZm9YrCq2wyWrZY16cjOnTtVRmHJc+nSCzJ7pQSZKYmS7GuzS4/MkNm97/pKUNTmorHe4qi2pL6UfKf58UxoW/BFh5M3B50khkVsTK6yxMxxFn2aLiAp/6zb2YgYbyTbYgvlghBMixM4y3UU1EAJth1MIZX5Gzi8jDNLTR9qYogVV3Nmqn1ymALrndUezy7ziIHLxyfV33C2wb/5Qok3vgW+7qQIhxcLnZPvXfq4jlpmVbz0gIhaEDPKTMysBKaUOhgaSCLkpsQLoidkitQVYd0eG3tq5DtXGO/qxln0d7ydjDx4w403KYHjqvALFizM7PW8Ox9WY2r6hqQazUCA3ta1116nSnvZbNq4IbMFzJw5M7PVnkceflhVnbBdoLS0rWv/xRdf0lqyfPzxx1RmJI899m/1SSZMnIhwuH97GF4+UQRLUl5aQiLoDQfwzFEmSL7mbCa0o/yISMn83AnFKBf3j06FJerHrL+3CeLNReQ+Ea8aS4JfFUmBZBVXQu54LB3Aun1xtZ9wDF2x/Pac8cUoYamfBySo32w9KwtxLR3DRHHQwHJ59rOVSydZCMifn5J3l5R466pN04tDiQd+ZvZlY0hJRE0qJvdiFSbv5cgXxqxlBKRwFUTSDKPBDGLlDgMr1keRMErgsN60UPo53k5GHuT5XEX+VSKifhUoYe9Mn4ryirw9YTWFI8lMM1BhdciKFU+qbQrWwkXnq+1s2KnErzI5d8656tOHGev229+KUCik2gK+9MUv4B1vfytWPfO0qkpZtvxi3CylzZPB4hG2qra0bDFAfh1lFr6BZAJ10ymMGhZAXJ4pJnujsu+oFJz/taEOMbMYtu+tqX89o+lbWrYFxq0QVu+P4UjcVSscxOQno7J/3JiglMBTajHPruDjsS1xkTxzPzq3AxK+AxVvnEW7AChLLD/YhuV1GpLvcYnDRgnNmbhMiMQlVTDkmImGpIntEsFPbGzA//0rjn9uSqLFLJL4TCMppZTc2GKUcKkmBq8I5KUBep58ykUjT1689TUP5oOe3z8f8drtyPKLL1Z5VNN79PCCAQrH3PzgB9/H+pfWKVFiBnvPe96bOerBKo8f//hHeGrlClUV8o1vfguRCFtGPFjNwh5kDzzwN/WdVZTsfedXXU6ePAVvuf121XW6vznQ4OA7zwXVCgMKESWlTW1fxVPj2Cq249lixFISEnLAM3O2lNRThnhzRkhMm7e0i0KV4il62d9dhNwkQk5C9brkr/AaXssZVDj0m5bQv6adp8Lr5SMsh+5YnMSYyr57BgOZAw027n02pHq3qtfEiMrC7/af3d7JPfK2EXbiCEo8Eu88z5PnN8IpwVio8L5YEi8hSQMhiQ+mArVTFWr4k9lxxN6gIbmQP8kpw3mMISlRFTJsfGheGmMr+t8j6o88mAt7XvKez69ZrfLjOefMwoc/8tHMUU1v8VOQZgDBEt93771HZTBy4UXL8I53vFNtZxOPx9VSLMwwV155VYcMxt5cDz30oNoeM2YsPvLR/8EnP/Vp1TGF7Nq1E9//3vfUffqbMeUmLp7AjgL5cSm6clAZNTFlSTOi5lpssqpU4HyZKSPcairVZ8ZKKiPL7dbvyszKNeWZ6yvRLPeKi5dAT4Pvx8sInpHMhbuWT3TPepEjY8otXCTvIs9rakd2vHKbwwjiZqm89yoVohIHUflsUaFa4qRa7Wf8NJvcVy6eOAsy2fNheiLXgYzI+fHNc7jFgsul44yTInL9lQdzYcFz7QvPq20O/3jb296utjV9QwvdAIMrQ997z3dUN2eWIucvWKiqF/PV4XMGhtqaGhQVFeHSSy/L7PWIRqNY+dRK1W7A+7D3GNsLJkyYqAay+u1yR44c7nJsUC51dXU4fvyYuo5j8Hbu2I7NmzfhpXUvYs3qZ/HMqqfxr8cex/6jJ3DlZBcjS2iV8lmvDF0cakeh5/UQDnYeU2Ljqim5FWZnJ2KvcdVkB6OKxSfLE28UmO5EsCd0dz//GD1EFlL4nUYt7KQxPXACV4/P3zmkL/RXHsyGtSt/+P3vVMGTeXLq1Gn4+Cc+iaohnKFV01e00A0wfviD7+OlTCly9uw5qqoku4dWNn/5859UBuIMCxy7k008FoOdqaJkZq2s4loAHryf3yOTme7E8RNquxC4iCdLpBQ2NtLv3LlD7aPw1dbWorGxWTWejKquRFjswo1TWZ145o4RMuXZXjGNi4NmdmhUvN0wLaHeTS7Km2LIfO8rvI8fcvF/i/6lLScwkIDrosiOoTp2CDt37fZ29iP9lQezuf+P9+Hvf39IbXM2ovd/4IPtOqdo+oYWugECZ2X42l13tg5YnThxEq562dXiLW2WTPeSCvSkfPbs2Y1t27aq7QULF3YobRZJxrQy+5gR/fsSDiSvE1EivG7kqMKnIJo6bVqnPcRYwRR0bMycPglBLvctnDM8iOunuqqXpA8NF/0nVWUl+xm686eyLu8x9Etaf089pXc/attN0+VvGtY2ibDGY+bwUN5464rs99z2vrumkPNUm5x8ir4pDDeJCJpRZCWxb/8hPL1qDerq+r6kUn/nQR/fk2N7Hqsrb7vtLdi1a1frPdkbWg8x6Bu6M8oAgEL07W9/S3lJXcHqRs5swnaABx98APf94feqJxgbwLO7NPuwE8qf7v+j8toIS6esKtmwYT3q6+rUPlZl/s/HP9GjIQacUWXt2ufzZs6SSDGWXHRRu0yfkp//5UsGNovjmBZjyQ4FLIHl1oz57Wf5PAZ+Z/D+Eu/cnp7XKqjyGZJnn13t4pa5Is66OJiXruKN75Ohu/jobzgDyuzKelw+Cdi5fSvizQ1w1KqxLmbOmoGxY8cWNPlyLr3JgxQvilhneZD3ZP5jXu0K9ri8866vq8kcNL1DZ+EBAEuJ3WUwkkgkVCM5Wfeid/7iJUvzihzhmKDlyy/OfAM2btyAlSuebBW5YcOH421vf3uPx9EVFRch2El36BFjRnUo2VJI3nSei8Wjba86TIyV2ESvpJ4VThZK4CTwN9XPGCmcP8bGrVrkusSPtyWj2V2o+y78/nvODnznXVHoeapMJXq2YKSLNywoxejqMixdOBdTJk2U9GbAMF1s3boVL0oBLBbjoIae0Zc8uGTpBXnzYJN4iBy/2h28n9vNEBhN12iPbgDAxuz7MvPkdceb3nQbjh07qmZJZ0nyox/7OKZMmZI5mp9Nmzap7szHT5xQGcqfi++SSy7ttpdYNiyhsj1ux47trV5iNiERzGXLLu60CidpA/dtcbDmaECuF+vWCf3t0WVjikFcMCKN1800EdLtcgXBePvjFhcvHAvA9sopiq7es093Xh7F0dvIf56/j30zFw438Ko5Tod4Y/7ZunULmptbRBBtlS/Y2WP0mMK9u57mQQrjZz79qS7zYHNzs+r5nMgIY1fceuubOm0H1HSPFrpByMMP/wMHDx7EBRdwZvqZUtLuypS04YsTO6f0FJaS16xe3a60PGTIENTX17fed8qUqZgiBqYrWDJ/7kACv98ShG3kbxs7WUJnIYVXTUti6biwmn1F0zXxeBT79x+QQtFEVb22WuLtvs1Beadt8dZXoesKXsfAMZavmJ7AkvERSbv578Y0uHnTRrUiAGGeKCsrUzOVRCL9vxgr8+ChQ4fUdF89yYOak4MWOk2foAHZt3ePanj3q2xoQKZNm6EmDqZx4TADenFLRXiLiwvrSbajxsEDO03safRK3DQTLN0zsdI4Zg9IVvsywTeo/uFWQ8oNIjfhd/+4f/6YUhs3TnEwY5iuq+wMDmauqTmhvBsOI4nFmhAWkVi+vK3b/E6Jtwcl3vY2WF58SPDjrR2t8ZGJn1wy8eSf5/Im3v/8po6TsRJv1091ML3AeGNtx5bNm0WkuZgTlMhNmjxZjSPtTQFPMzDQQqfpNTQWbNerOeENP2A1EHuNzZo9R333eebplWIQI1iwYFFmT+H8bZeJ5/Y5iKcNtVAnZzGhyHEwMD85fqo1AXu2rwNc78zrxynXG75wsgeoGDpxPs4fy2EOvu+h8WEhJi3i1tDYgEMHD6rquOwORtweP2GieCznZPa08bcdJp7db0u8mUgaJjgQgRMAUEpYzeiaEpSIMdLyRJzLeJZ4M2y1zZlweB7jMei4iIQMnD/G6HW8caA3x4f6tQ1c3PScWbP1VFuDFC10mh5D48BJZ3ds345Ewps1paSkFLPnnKt6huVW01AIue5ZZx1UuqM26uClYyb+tdtEsxr/6xk8C2ykj4j4ZehE6LjQq6R0OS8sV4kBlX0RMaKXTHSxdIyjlqDRNUvtoZfOsY/RWAypTtqQKHRcuLWz3oA1jLejEm+7rEy8MYo40VdKpRFvjlJPwNoj38UqqQHpRjxPvDmZeDN7HW98dna6Wr/+pXbe3fQZM1rXgtMMHrTQaQqGxoFtcDt37GidXZ3VPfTipk2brjqbnExiKRcbj7lYe8zCkWYD0XgSKZfTgOUhywB6ophGWXEQI0pczKm2sXC07mzSFayGXvvCGjULSGftS+xocdGyi9VnV6h4Owq8wHhrgsRbCmkzIPHG+2bdOyciecQyUhJvAYk3ZOLN6Nd4SyYSauYeVmn63irndmV15slou9OcHrTQaQqGVVcbpATMthrCdre5c+ermRxOZWM7EyyHRiXEgO6sSWPniTROtDC4SPCACFtZ2ECxhFFlAUyoCmD6sDDCAUMtM3PqnnRgQxFYvfo5tLQ0541fdplfvOSCgnsutsZbUuKtNiXxlpI4czLxxqOmF29BC6PKTUwYYmL60ADCwZMbbxQ4Ct3GDetbJzSneC9ctLjgFdg1ZzZa6DTdkojH1ZCB7B5r9OImT5lScOcSzcCE1ZbPPPN0axV1Nuxs1Jt21zMVdvffsX1bu7bI8eMnqJ7C3XmtmjMbLXSaTlHtGPX1WLdurSrdE2b4GTPPUXP3aQY3uV3ycylkuMhAg2mevYQpeH7NBavkKejsTXwqay40/YcWOk1eaOS2bN6k2uI4EJywZxob64uK9MDVswFWU3PeU8IOJ6WlZe1Er6uOKAMdVtey7Y5DKQgLeKOkcDd9+gw9DGEAooVO0wHOVcmZJKJRziThqi7XLL2PGz8hc4ZmMMN2KhZyKGr0YChm8+cvVJ7Nli2bVY9Mts9eetkVg97o79q5Q40R9dvuKisr1RhRvXzOwEILnaYVenFskGfDvD++iB0OFi1a3OuhAZqBBz05ihwLOex5yEVF/fFl3Ecv/+iRI2odtrMBtk8+9+yzrbP+UNw5fpDTiGnvbmCghe400JhwsbvJxb46E0ebHTTGHTQlHKRtF4nMeKOAaaAoyB5oBqqKTAwrNTG63MbUShMVnKK9n+GyPDt2bFNtcoRVNZMmTcbYceN7Ndu7ZuDBwg3XEPSrJzmF29x5C/IOoqbxD4cLnwd1oMPq+z27d2G3BL4nerp8P1PFu+us+paFgv5s02sQu7GnMWM3Ws4MuzFQ0EJ3ioingRNSIHx0h4uNtRaSkglM1+SkD61kT2uVD8d01DmLRjhYPh4YWWog2EcNYgamYdu2dYvKmIQZd+68+WeVITvbYTrI7njC3rRLliw96WMjBxoUeM7pyjY8Qo/uvLnzUF09tEOBcPv2rZg8eWqfCopnqt0YaGihO8nYjovnD9hYeSCIQy2c/Kg9/lyLahIIb7NLGFmc5k8KbJhQYmPpmBQWjetd12d2p960cX2rF8d2F1bHsNFdd6c+u/CrKwnbodjLUFdX54e9MQ+yZ2bWKh1VVVWYJ96v/844qwyX9elsirTuUHZjv40VndgNX+hOh90YiGihO0lIOsXeBhcP7rKwq8ZQJSo/sWXT+l0OFppg1YmyYdEDMwxMHuLi+qk2xpbL7xRwEzas+xmVJXlWr7At7pxZc5SR05w9MC101vFE0zWc2m7r1s2qwEjouU2fMVO8u2o8u+oZJYgsPF5w4UUF91RutRs7Leyk3ZB9zPMq32fRG6Hrq90YyGihO0n8bVsS/z4UgZv2RK6/oSfI+zK9O5LazYCDq8alcPWUrktpNGzPr3kOjY2NmT1Swps4CZMnT1GZUnN2ke3JseMJjbKe2LhwKGbbt21VY+98KHj+kBzCIQkTJ03OfOuav21P4bGDYTjd2I2e1gT59NZuDHS00PUzDQngvk0pbFLDbyy4LivDvQlpSW4VRF/wS3u8q2GkJAHbmDPUwitmBVCep0B+YP8+1V06rgbCuqgoK8fUqdPVDBeas4vsjidsm2XHinn05LTI9QquhLBzx/ZW7y6bUCiMCy64COFI515yT+1Gb4WO5LMb54rduKkTuzEY0ELXj9TFgW88a6FFPrmqSPaLZeJSiZUpM5tM3SX/ZfATNBNyt4mYJ8j1vEXrYjXypUwS6wcW26jK9CWJx+NYv2kjGk4cl0vkSawARo0agZnnnKO7R5+F+CLneyHseMIFQnV1Zd/gKgjPPP1U64wqPq4I19RpMzFl8vjMnvbQbnxztYVozDMHhdgNLk9F8tkIfs/dx6tb75BjN/jVEoMTKrHxoUVotRuDCW3l+onmhIufvmggkUgj2LZwTCsqkbUm1tYk5+1r3d9DJKVSEHk1E74K8r1ZMs6PXjDlmRzs2n8Iq59dg4bjNeq8YNjE/Hnn4ZxZs7TInaVk965km5wWub6TTqdV55NckSP0mI4f2t866Dwb2o2fiN2Ix9Kw5LxclGXoym7kKloh5NgN3oSCFxXb9ZN1NlrkmQYb2qPrBzi+5d41FmpifJUSJCFx1a0OqATrv24vhbamU9ntrbLm0ZVHx33+XXieD8/3ew3brovhwUaMtPdipHsEYSONYcNGYNacc/W4uLOU3CEEFDn2rtQi13f27tmtZhPKh/Ka5L95CxZi6LDhmb2e3bgnYzd4Ttd2g5aBmd3L8H6+VzZCrsum7aw2fHvhf2bbDS5irH7CcGTLRXWRgfcuBCoHkWeni/T9wIObXdS3MJEAScNCypQEm5vSWmmfDL2Emr2na9pf3R5GpqWUkje0UZ8K4ASq0RgegvMWLsac8+ZqkTuLyRY5djxZuPB8LXL9AKssOZC8M2zTQtI0sU7evz8cgTy0xUVjVLKqYSAl+TIdEMkp1BD0kK7shi0H0pYLm8VkN4C6qIm/b+nomQ5ktEfXB9hL97FdNv6+PQhTSkMpi6smA2E3Jh5VMctJmTMzqGJTe8zWlO0d889glUJuwvRKhjzDQFoyB2+XnTEkrSIg+cg2XSmx2XLQRkhOWj7WwXUzwpKhMidqzipyO55wzJceQtC/0FtOp1KwHRvJZAqOfE+mkmo/lzpKOimkkwmMHTsJZaVleHyXg4d3BFS3/oToCz0s2o2UU9SJ3fDyvQ/zvRolwP94KAue1e4Octy3E/6pHTw6rtavDIrYMsdCUGzHZZPTuGpqYFDYDS10faAh7uJbT5locFgSo9PvyRDr2tkAnReVmNSG+kpUN2IRSkOlXFEqznxgcJCoV5fu4SIkmYXYRlB5jbndjyl0rOFweY/WSlATxWEbH1rMKYEGQYrV9AgaWo6T279/n/Ic1BCCCy7UIncaaYgDd68y0ZxkfmShtM1uOIblmQcfpWKsLbKUffCGjvtF3sLzc8Y0eFfkXObZHz4HjYfValeKQw4+tMRBVWTg2w1dddkHfr3OQUvS26Yo+QnUlsRaCEw+DCxtMbGnRKnSEiOOJQnbSHviKcfoJdpyPGkF5XhAbfvXEX74+klh9DIAqyEYTHlGC79d76jZFjRnFxQ5v3clV8vWInf6+dV6dvjw8qubycs0xG6uyBHJ5JzyK+ikxctiYZg7vWvawQMUKjPdFgxbzvOtgauuz2fwlf3hWWpIg2dDGKIpQ+yGOyjshvboesmGI2n8vxeZMKSMZUlgasrCS5B5UIrkncx/TfluSCI2EEcokEYk4CIsJbe03LDFCcheETeDhsmEzbTMkPVb/u/4n3QKCU/xT5OyGq/GW+bamDNCT+11NpDOmfGEi4bqNrnTz/qjafzf+oBkSlPyZ1ZGzuDXw2QTkBxc7DSKWKXFBvBaS81f2Xpuuxqctjso+8LaIbnSEhvjSiG5ySqVM7oviHv2hFfaePN5tBsDezIJLXS95P/WmXjpiJSXJDVlC09PMKWEFTFiKLFiWDSzCtNHGajg/eQYHcWoxMzeemDdlmbUtgBxoxgpSfYdMoOc5z9CPqFjp2XXtDF9CPCe+d4+zeCmw4wn2pM7I/jpehPrjnk5k+3pfh716ZC3BbaXvWYZMLLIUFOEUXI6ntfRjKvOaRJS8iv06A7FgN89LWJphOT03F/uCO84WOyGFrpeUNNi466nQ7BFQWwWfXowUVyrBybJKOK24JKpBhZML0GZpEopp4lQsbwl/4l6eqeyNxSwvcbGym1p7KozETND6j6taVW2Wzdb79+2j8cdS5K7YeLTF7ln9XIdgx12PGHvSlZXts54wqV2tMiddk5EbXx1VQgO7YYp3pLT1tzRFUEp9r7pwgCmVZpK5EKZi9pd6xuWVugvulKYdpGSfM/W/Z0NDn78dFKsjKSFAoROnWHIlebAtxv5qmw1XUAheXyPJBwpUqm00iGBdQ4beRnYaSTiJHDDwjAunlmCComFsJf8ROACCGW5iKzgsCRjnFMVwCuWRlAaMFQVJru+tCKn81kY/Pp1HmWpT5X85Du7Dbu2hYe2ymbWpZrBgy9y7HhCOJGw7l15ZuDZDSnKSl5mdqQdKCQb8lzW4RSLnbHctCoMG2pb9vvBcOTT9gLrfMTt4zAjUxmAtu4rQVFI106rqmyamOyQD+42xG4Yg8BuaI+uh0SlgPOVlRaaM51QVHLN59HlCKDXS8rbHXbSmFSZwBuWlkD0S8SM5S0TTMacapkJk6aJJTe2qFHAkpJBntxh44ktabQERBZNSbAm6+vlhCz8dmP+jv9U/ORufnIuuw9fYKNYN9XlJRaLYevWraivr0NlZRVmzJghglGUOdo5nBHj97/7LY4dP47rrns5xowZg71792aOdg7HNU6bNq1fxjdydXjfk+NgcN0md+ZAu3Hn0212QxVAhVzHKsdsKAKGjTcvMzGlzLMhTCmhzA041SBb4fz9nHIi7VrKonAfT0vIb/Bndje7+PVTDpJOx7SWT8SyvSBOKziQ7YYWuh6yt8HAvatFlFifmIGJLRc1JiULJmh/7FtZuhGvX16O8yqYOCmBaSSl5LRufwov7q/HoRNNGDmkEhOGRjBtbAmqS4GGqINfPdGC2ngJnJCJZCAt+lqY0Pnwe0jS+HsWORhXnnPhWQ69oaeffgp//vOf1PIrPsXFxbjxplfgqqte1umUaRSWP973Bzz44ANqUuSvfOVO1Dc04POf+0zmjM7h8khflvP52VvS6TS2btncrnelFrkzi31iN767RuxGRqB8ofM7sfl5NVfolBCK+zazKo3yQEqu83pShtKs67Exe2wAM0aVKFGifPHyjYei2HRErIq4ja7YFVsOcshRfcLCtuNsFuG1OeQxB9nncKHWgWw38udcTafUxVyv2jLznTBB5IZcmIA5TobHSiImxorIMaEy4bLP5Y4aA49usLHlxBA0hiZia3MlHt0dxM+eqMPvVrXgNytr0OxEYIjI8bfZH4obStCyQnekRKBr1VRlmmxeeukl/OynP2knciQajSpP7YknHs/s6Qi9uQ0bNqjt2XPORdWQIWq7EFiN1FeyRU7PeHJmUht3xZPKqyfd5l9b1G77cQMvHA5gzdFiPHOsFE+dKMazx8M4GreUEWfbnaqqFPY3OXjqaBArj0bw7OEgnj8o4ZCF7WJjHBbWsn6vNch1uSGbgW43tND1kP11HSdmLQQO9gw6tmocDkmJSlVJilgFJEmFRO4M20FTPA43YCKlxtNYksBNtKAUm06EcCRZKV6f1/kl1bHmoUf09m8YrDSI9/XDH3xPeXWsQrzhhhvxyU99BjfceJNaaZ37f/PrX+HYsaOZK9rD/YcOHVTnvv71r1f7Ro8ejVe/5rV4xStf1SEsWLioVeAmTZ6ivMbeQE/SX4WA21w090KuJ6dF7oyjL3nOcDmUgC11IRgOB46LRybix+HjFDjaEoOVlVKQZmFa1RLJcdocR+mapDUnCMsJICxpubdGfyDbDS10PeRYMxtzJWHxzWUCC1K5QdU5MDFK4GBMDgjnQHImQFONm/NKYQZbpyVMHGFi+ghJrHYj7BRHvkkyNi1YAVE1S7w4KYm5cgXLVCyBMWmrm+Tgd3jJc0hdy2c72qSFLpt1615UbXNk3LjxuF6EbsqUKbhRhG5SZsFMem0vvPCC2s7lT3/6kzo+evQYVFV53lxYxOb662/ATTe9ol14+cuvVwt1Upgoqrff/h+9WkWC4kuR27dvr7oXPTl2PAnq9eTOSI5l8pyfB306y6s+zOsWbYnAawk7onCgOQvDaqC3QtIQ+wqo/Z5hEksjtqbt7t713ncuutoucF83YSDbjZ7nsLOcxrif3HoGE2RahI715XUJoF4CJN2InycJLYSg3Pb1Fw7H25aX4sopaYwONqPITEghjULISk4LCUnIKbneyXTZUuNEe0FtSy8vHKTs3tU2Ie+48eNbFx/liutTp05V22TPnj2ZrTaOHz+G9S+tU9tz5sxRXl1X/O1vf0VTU5PaXrxkqfLCeoM/hICw44keJ3dm01u7ocgInQ/Fz4ebXm7mOZ459w7To2t/HaEd6u2TDGS7oYWuhzTGex/ZfqKMh0rx3E4baqo7VYVlIiCl8iLx7GZUWLh+VhD/cWUZbloQweKxwHCzSeTQVmNv1BRhklj9kmBuKAS2FWjaOJHVLjdixIjMlsfIUaMyW1IqP9qx6vLFF701yChwl11+eWuVZD7oNa565pnMN+DSSy/LbBUO5670e1cSv3dlODIIV8scRHRnN3qSfxVZatVTI95boRvIdkMLXQ9J93LeNyZiVeUgn7GUGMhdTdghbh3nseQMKabLXpQOLCmusQmOq1YtrAZuENF7yxVlOHeUjWCqTp3rw5Kdn0H8UAhx9qbRtOJXW5IhmapHH78qknCl9lw4FIGcc84sVFcPVdudsWrVM8oDJBMnTlLDCnpK9tyVrK7U68kNDLqyGz3Nv4SG28//HvzS+W90gN5ediiAgWw3tNCdJFoHbmfSECsMgm5KvfCAZSJlFeMv6xysORRHE+vaeb4ctQ1TCZ1KUnJyIAAMDQEvmx3A/DFFKBavz6+y9K5pHzQ9h16Sj5NVkCBsC/PJPo/U1tSoaku2sXXnnbHDy31/+L1qT6P3d9ub39Kl95eL3ybnixyrPFldqT25gQ/lqVf5t13bRQ9E7ixEC10PKQ55xon/Zr88JWqZ7XywtyVnNgg7SQTFaCWNEA6nIvjNBhvfXdWEp2otHBL3TlUPyI3YVZiCF5FSWpGRxMhgGjfNL8KwQL1qcy6wEJaXsNWHiwch2QPCW1paMlse0azvkRxR4bi5ZDKpek1OmjQpszc/HKPne45jxoxVA8oLhSJHT87veBIOR/SMJwOM3tqN7jl1AjeQ7YYWuh5SFOj8lXVXE0CPzTskiVP+dySVx+0S7GmI4M/PJ/CzlUn8bFUCD2yM40DKm9jZyxoBBOWDU4WNqhajnKmiyP69rn43l7KIjvZsqoe2VTkeP+ZVLfocy1Q1kuzzGhsbseb5NWqbY+cquulU8sTjbePwrnrZy1o7vBSCv54c4WBwPYRg4NEXu5Ef2gBf5DKl45PMQLYb2uL1kCEleWYVELivq3TK7sCOEZTkyFdugIUjNQaGadQOIpoqwqHmCLbVhfHk7gB+vaIOexrTmeQrZxoBNcdlaWkfB9EJFXoB1nZMnDgxswU1bVc67XWj9jypzWqbjBs3LrMF8a72oaW5WQ0RuPHGG7ushnzooQdx9OgRtT1hwkQlVIXAqlJWV1Lk6MnpGU8GLr21G2cSA9luaKHrISPKOMS7Y+JUDcNZIRf2lGT7G8fSOU4ajp1ExHIQkpMtMahm2pZt79yEFcDBVCVe2JMCRyFAtRvJeXJcTlX0oHmnA2Mr9USX2XBYgM/evXuwc+dOtc3PPXt2q20yb17bWiX/+tejSogmT56ixs91Rn1dHf7x94fUNtvyXvmqV6vtQuCMJ9kTNC9cpHtXDlR6azc6J/tuXuH5ZDOQ7YYWuh4yttISkWkbYNmT5MV0zFkKAiJkJWYK505wMXG4CB6aQfuVFmeN4+Q4+4nhJlFkcqYD2U9VE7GjnxGNcZtLcBQOf9dvC6BYjirvu1c4mBgxYqSasYTj5tjm9pUvfxEf+tAH8aUvfkG1q9Fru+aaa1vb4VhtyXFsZO68eeqzM15Y+wKaxfMjQ6qr23mPneF3PPE9udaOJ2EtcgOVvtiN3tMj5ezAYLIbWuh6yNAi9ppsSwDsNMIxbblwHpPsQJi4w3J+uZHE1eeW4MYZFt68KIw3XFSOMaUtCNktiJhplFgtGBM4ipkjOAErrzNE28QIy23qGr1OKoWW/lx5OI6/U5NMSwhIqIrwSTTZcNqv5csvbm07Y49Kwu8XXrQMr3nt69R3snLlCiQSCeWhzZ07N7O3I6wC5STRFCtfLDnurSt4ru54Mvgo1G70K33I5oPNbujVC3pIwga++oyFmgQQlG0GemIcD9cOJpAs1FQ9krjZqWTh8Ga8fmEpgo54bpaNGALg7Do1TQ5aEkmEgiaGFgdRFTbgr3XI1rrVhww88Hwz4oFSdX9bPL0OkcfiYhZs4ObcmJZ4hFyjqixk4OMXOQhTLTXtYFUk56zk2DhO5kxPavz48WpaMAoV4eDwL3/pi9i9e5ea2eTd736P2p8Pen47d+xQ26VlZQWNm+vQJsfqSu3JDXgKthsFwsu4vNeN59i4YhLTB+t7mEZdPLQ1hn/sLFFCZVBZe8Fgsxta6HrBP3Y6+PueoCqVcTl8JgqGbHKX6eEJbF/jtIavnOti2WjDWylYvstuMbIOghxfpwaWGvA7adnynR1ZjsQc/OLJBtQ5VUr0YNiSSby5L9vBm2XB45zYlZLISV6vn5TCFVPYDUbTG1i1uWLFkygrLRMRWtQqgH0lLd7ftq1bWtvkykQYFy1arD25QURBdiPzWQimkcZNMx0ROtZC9LPQSRhMdiNjTjU94cpJnhBxOq6YqBXnr2Ryyg65cJ9KJpLAn9jQiGcPAM1yHTubSDpCUBSQ55imwTmcFVLoU15bnXz+Y20zmtOlquqD3hzXlyLU0+yQC0+n58gcFQm4uHjiAC2SnSGwKvOKK64Ub25Jv4kcocj5g8HpwS06X4vcYKM3dqMzlEC6XKfAL9vKzXJVsw/wToPJbmRMqqYnBESMFg6z1UTMFuse5JOJLTt0QFSIjdFMQfWpUvz1pUb8Yk0Ma/ZGcSImCV/ULiE34tg5ih/DCflnxb4YfvDvBmysjyApiY5iSbHjagi5cI8vdvQo1eTPgj835oIR9Bo7Xqc5feR2PGEbnhonF9IiN9hQdmO418HMyjTWdWs3OoE5myEtJtyzF4ayHXH5tGWfOs5/+gBXz1R2Y7g74O2GrrrsJftqbXx3dUj1ksz7AlsVh/+0TyT8xtlNmEzDSCHgplEUMlFSHEEgbImnwG7pcTRH45J4A0iaERGugEp0vI6eHgtv/gxAvJUKPJ6Wu8r1aeYmISBCzC1Hvr9/YRITK3W15ZkCRY5DCDikgVDcli1brj25QcyeujS+9UJI8iozb0+9MMnJcjo1kvU/vDLsxBBxorLNKkYeMxA3S5EwwurWdMoy5d0eoa7l78i1H1iYxoQq/trARQtdL3GkuPTXzSZWHJDSk6SB3PTa2k1EfXRMJB0cssx3luqJf7g1cjIXqH9zYoz7/PNZLExZjjyPK96miGZGDC+Y4OBVM3Mu1JxWdMeTsw/ajT9uB1buN0VEOlao+eXj/MhByehKgMQesO3MNzy8E6/l5TxO+ip0rKy6eIyD1wwCu6GFrg/EU8Ddq6CWs88VOn9IgfeRc1DIFTqTVeBybjJli7HjoHJJpEylPv4Fssu/NPsW3Kam2eLmtXaE4UPJdnVJCh9ZGEAkkH2F5nTB3p1sk+MQAlJaWorzz1+iPbkBzO5EPWJOCknXRp2ZwhHxso47LahxEjgqXlejkca+dAyfCi3ExUVj8NXnTNRGRewy1/t0LUpe5u9K6LJ7cfZF6MiIYgfvX+IMCruhha6PvHQ4iZ9vCCJttK8S7KnQZZ/ie3XtyCN0uZmEGcCWE7jgomPa4tklEQ03i7dQjztnTECkHztPaHoPB5v7nhyX2ll6wQXakxvgfPzEk/hbaq/YARcplUkzVSnEMJE2DVQZJXis4uWoDETw/OEUfrGeBWRvthE/e/dM6LxdxLcFWb/aJ6GzRLBvn5fGrOGDo6kj11Zqesh5o0J42WQ220oa7EWCaqUv12ZggmabnGicSuHxQAy1pUfxTMmLuOL47/CHuDemS3N68Due0JPjtr8yuBa5gc87ys9TMx7FJBOyVyU9Kz+wU5hhJPD+8EwlcmThqCCunaxG12aXcU8b2eaHonDtVGfQiBzRQtcPXDYxgKlVDjiqjWLDRCNJ2ytSdZOMVe2DH6Q4ptqoeV1u4H51TP7PBE7yzMBSm/quNtKqXS6YDmByuYUZI23EIikcsVL4VP0qvOHIg6izOy4gqjm50HvLnvGEHU/0oqmDh4mhStxVfhHCkgc5yFpyrKpZMdgOJ/lxSroCryluP2HA5ZMCmDYkx27wwk7xbIHpVd149sLP+5nP7MDf5X27g7+phjJJYGF9SoWL5RMGlzRooesHghbw9nkO5o9gZ9/U6SuiMWPJE6Tl9+eOcvGRWSX4SvUsfKvyQow2yyQjuViLWryq5iHcV79J8kEBuUDTL2QvtcPB4BctW6ZFbpAxNVCBarOjd07Bu7poMkrM9ksztdoNKYxKrj1tdoPipmqjjLR6lrcutNWzDSZ0G10/kpBX+YsNDjbVSoJm8agLWpvc+uHt+/mDJbygpNjJQ4G3nGcjnNWI3JCO48761fiLux8t8nAcavqq0GT8V+l8jLRKMmdp+pt8HU84GFxXVw4ekk4af4/uxiejzyHmJlt7PXrumYGRbhj/GPpKlAfyF2x8u7GRdkPycG+bQPhrvTUndDxnVqfwljlGO7sxWNBC18+kJaGu3JvAAztCkmY7r+PuT6HzMSXDvXxKEssmhxHM46snHRtrEkfxoZancRBNahqiCUYZvlx8AZaWFL7itaZwdMeTwc1huxnva3gcG1InkMoo1LzAUGy065Bi12mRnw9F5uK9FV2vclGo3TgZmFLwvWZyApdMym83BgNa6E4Sm447eHC7icMtbXUA/oumyPllpr4IXes9JAwvdkTkbJw7svuUutduxD1N6/CXxG4kJXOW2SbeWDQDby6bhdFWaeYsTV/wB4P7nhw7nug2ucGD7Ur+ju7EXU3P47ARU3lwslmBD5QvwMvC4/HR+hX4U3I3Kpwg7h/6ckwOdL0CvU9XdoP0h6/VwW5MFbsxYnC3YmmhO8n8frOBNYcc2LZ4VKYFzl2ppgCSYwGlcplk100ssD3NthJyniRINyD3MFQPS86dt2Csi9fMZumxZzzUuBOfjK1Bk5NSwxFGGsX4XvklmBMeprova3qH3/FEz3gyOGl0Evji0afwF2ef5ElOy2fgmshEfLPy4swZHhfX/hmzY0X43pirM3sK5w9bxW4cdKTAZCBhmOCMJ+xYwnC67cZARAvdKeBQo4O1Rww8vT+AFtW1yUusJlifHwRXJ1CoOv2OcK/hpJE20yKUAZVg2ay9bHQaSySxjiiXTNBLYdqRrJdS6Qt4xN6v2hYikqneHJiOD1UsRDhnbKCmMFhd6feu1DOeDB44RvWR+B58tWUt9qcaVL6cbFbicyXn4/zi0QhI3snmiegBnBOswvBg79rADzdl7MaBjN0QLOfMsBsDDS10p5BY0sXzB12sORpAbdJAMp5AqsAEa0mCLSq2MSQSxJwhwEUTXET6SYfYG/NntS/hR/ZWHERU9hiYaJbjW+XLMT841DtJ0y25HU9KSkpw/uIlWuQGAcfTLfh+dAN+ktgs31zPi7PG4XMVF6DaKvZOOknQbrxwyLMbNYkzx24MJLTQnQbY8BxNAy0JF3trU9hbZ6M2KqHZRSpTk1ASNlEkCXJ4WQBjKyxMGhpAachFUdCrdjgZHEw34T21j2GDWy8lQBMlZhA3hyfj46WLdFVmAeR2PFmydKn61Axsnk4cwf80PYODTrOIB6fECuKrxRfiqvA4BI1T1w//TLUbAwEtdJoO/LBpA74rpddGpOEYNi41RuCOyoVYEByWOUOTjep4Qk9u7x4lclyZfP78hQhHtCc3kGmwE/hBy0b8MLYZhuGo9dkuC43BHeULMCNQlTlLMxDQQqfJyxG7Gf9R8yi2uw1gAmH4SPF8vLV0Toe2iLMZCttmzniS6XgSDIWwfNnFuuPJAIZpfU+qAe8++k/sNVuQEqetyDXxmbIleFXxNF27MQDRQqfplNpUFL+Jbce9sZeQgKPm7VtujcAnSs/HzHB15qyzG1/kKHic8YQdT3R15cCFqw98vflF/CaxDfFUUrVzXRAZjU+WLVYzn2gGJlroNN2yOn4EX25ejfXpGjVhbYkVwudLluDq0HjVjnc2wurKLVs2Y7/ueDJoWJ84jo80PY3NTr36Xokg/jM8B2+tOE991wxctNBpCqLJSeKXDRvwndQGNFo2wm4Ay4Oj8I2SCzEkcHJ7nZ2JbNq0EQcyHU8obpzxRHtyA5M0HHypaTX+FNuBBjcNWwpzc4wqfKfqEkyyKpRXpxnYaKHTFAxXR/5Xch++3bQWm+1GcOHH0W4Ed5TPx3VFk1Fknpp+yy1J4FCTgSMNrnzaqInaaIi7SNku4pnkzB5mJSETpWEDw0oDGFFiYniZgfEVruxXp/SK7I4nRM94UjinM97ywWE1m5K1uKv5eTydPKTmmCwzQnhj6Tl4Z8kclGTWitMMfLTQaXpM3LXx1hP/xPPp40ibjpSHvba7e4ZcjrKcGdpJvR1HuRWG2YeyMVcgakq4eHCrjXXHQ0g63gwzasKHzDntyJ4Z1+WaDnIPCdx90agULptqoCLCAbPqjIJhm9zePbvVdjAYxPLll2iR64IzJd5y4eDvfzfvwUcbnkJDwJvFYapZjl9WXolhQT0N3mBDC90ApKE+LR5FHE3NNkaNjGDM2JAY2+5z/uZNzXh2TQMqq1y84oaxmb0ezVLC3rU7jpZYGpXlAUyZUoSQlKy74onoPvx309M4biSUIZpkleOO4vPwiuIpmTM83lv/JM4xyvG+bia2zQfX2Nt4xMbKA0HsaqCBEtQAWe/v7bQDXLbBJDmDajl57bQqG4tHp3HeyMI80eyOJ5zxZMHCRbq6shPOpHjLZW+6AZ9rXo2nYgeV2AYsC+8onoM3F89EVZ5ldvLRLg+Okjw4prA8uFXlwUZUDHFw0/VteXDHloT8qZnBcFnQ66yosjBiuC5M9QUtdAOIujrgT7838dSTEmVGSvbIpxvE8BEWbrk9hdlzxGfqJK+lUy4+89EE9p+w8bo3GLj+Oq9dLRp18cSjLh54wEBTPK3sithxBAMu3nybKR6LBcvqPAPH3DQ+IqXiR+P7kJSMys4q77Zm4l0Vc5UX96vGTfh07HlUyHP+Y/iNGGkWNh0SE+XRZhd/3m5h63EpwfNP5bPRGPSDwSSGMiMGpg938OrpDoYWcT2/jnDGE1ZX6o4n3XMmxVsuMSeFh+J78MmW59TSOqxhmIRSfLHsApxfPCpzVtd4eRCZPMg15Ex5FuZBA7e+ufs8+LmPJnGgxsZrX2/guuu8QlJ9bQoff08Aafnb7TwrpS671MDtb++60KnpGutTn/r0ZzPbmjOYhnrgK1+wsGmj5H3TWzKVmZ3TADU3GVj7vIVZc1xUDfHOz2XDuhgee9hAUEqdr3p1EaqqvNz44++l8cgjhrekiBgV0zHVxK9skV+/DigKm5g6vXMzEpSMztnaFweGKw8vIQZtrVODP8d2yVEX345vQAxpuX8a5waqMSPYyQPm8M9dKfxqSwBHmrwKz1Z7pwwhv3g7OjeYEpTNaDs3F64Dbcj9jscMrD4qf4ubwsTKjjNdbNm6tVXkKG6Ll+gZTzrjnzsl3rbmibeceOjXeBMBmyheT1fEJP39Z+1j+EVsq3ibtprX9ZbIdHytcjmmhgsb/K3y4P9m8qDByk/Jf6xDlf9b5O9d+4Lkwdmd58GNkgefeNhEMGTgFa+OoDKTBw/sT2CFCCcnfHcMrhTJQAH1wqxzDRFQdaqml2ihGyCsXpXEMyuZtRzJICncfEsAy5YbOHEsKRlQMknaQSjUgnPndqziSEvB83v3plErmXHkKBevfFUQphQQt2+L4Q+/CgKmhYrKlAighauvNhFPpHHkiKvaV5pbHFx4kdGlV8cBtGODZbg+MgnH0lFsdeoRRQork4eRcL3ZaB0xCJxA+ubiGbA6tXLye0ngD5sk4++Xv0kuNdiYQ8Mmz0LjRqPi/ePdo0uDqch/Au/KwDfKd+qIIdxZ56IuamBChYFQQJ5ZxH+ziNy+vbtVdSU7niwRkdMznnSE8fbHjSmsOMB4Y3xlxRtPyImG/oy3HbUOGlok3ipNFW+5PBjbjQ8c/xfWuaJU8jyzzEp8snIJ3lF6Lop6MDyGeXDVClYvpjN5MCh50ESN5MFGSTtO2kUoInnwvI7t1MyDP/iujdpGE8NHu7jplV4eJFu3JPDCaqYpUwpRwJxzgalTvbBwoYurrxMxD3b2wjSFkHnVmjOdp1fUq1KkKYLxvg8YuPgyAwsXG7j5zZ74MRw7JNYmD4cOGqg7WIqwHcKrX+OIaHn7//VoPQwROVOM+GtfIyJ3jSVCSY+PVU6SccUaxeLy2bHpIC+jROy+NeRSfL58iRgQSxkz/pQvbLucKB6IeZ5RPtgr765VFl44Uix2LiLXe/dQl2csnDyZfBcj5+/vDHEl+F/mMjmZFrctOJmgvst5rhsQaQ7j6WNBfH21hWjSwaZNO7B31yEpaTsww2EsWHi+7niSB8bb11W80VgXydsMtsZRa7xl4ssPnaJcwM5PUJWWrFsXDFfShxOQuAth1ZEg7nrWUs/i0yKe3vuPr8CH61figBWVAlkY14Un4/cjbsB1kYmZswpn1YpG+VHmH1fyoCl50IQkCbzhNkeewQuHDyYyZ7fnoOTBYwdLYDpB8ebs1jxIjh0Ly1/FHZIPb5b7vaktXHujgaKirl6YphCUDdCc+dz+jjJ86KNJ/PcnE5g8ta3EGGCJ1A2rDFRVld8Ib96YQCqZxtAhrpQW26rcXvv6Knz4kzG870NRLFrclhRUppMSOTUgKD/V0x5uS4MjRUC9+9Fu8fKAbJhyw9+0bEHcleJtDjRQP1pnoEWE1RRXUsk32z+yf7vdl/6E95XnlfuzR2CD2KofPBPF8/vjsstBRWkpLrnwIoS1yHWA8faTdfIZl0KYGPpTjym/K55c2kBznGnIRFPKwaONB/DGIw/jYfuwmtGnQvLJ3ZUX4K4hF6nq9t7w5neU4oMfS+G/P2FLHmzz6i0rKMVMrgweFE8v/xiIzZsSSEserK52cW5WHiTHjnrXhKV8Z8sr3LvHVp1dNP2HFroBwvARRZg1uxQzZhSJh+WqKsttWxz8+B7JJJLRw2ELi5Z2bDeybReP/yshmV0y2PkxOa8tyqurI5g+I4J580sQjpg4fjyOfXtc/P1+nhNAQKz+okUB8WIKTybNbgo3Nz6MmM3OMm2oEj5sbEwfx/pkbWavB7uff+t5C3sauMCkah48LVDulJMnMnskVYojwXFA6Sh5B7pNLh/NEm/fft6UeGOhJH9HilMBC0X8n8lmd4OL/1nXjM8e3Y9taJGskcJV5ij8e+jrcE1kfJfV5t0xfERE8mCJ5JnirDwI/PBePw8aOH9Jx85WzIOPSR5kZ5PzFrXPg+TAAa+AEIsZ+PCHTHz6k0Hc8b4QvvgFA7u9kSyaPnKaTIqmL8SiDr7+5QS+8WUbR46Ix1EJ/PdnHJxzbsfo3L0DOH5EMqaUNs+Zm9nZCXffeQxf/qyNZ1eL6Qg4eMt/WLjhhp4lkf9r2YSmZBKWQ4+Q1zL4xoVSl8aH659CyvHa7sjft7pqqRGelbQMpDMN/LSbFJ5+gd6gCpnv2XBfxlu0LUeeOC3/mahBNRJlUxDRvSvz8vA2L974/hJmACnx4llQObWIyEoSi6u2OQpGCokWCyMbRmJUagTuLbsYXxt6aY/a4gqBefCbzINfMnDkMIcAAB/7lIPZ53Z8Abt3uJIHI5Kug5iVZzaxhnovj3lJ1BXNTMqnja3bTNz5VWDL5v7KBGcvPbNimjMDZoiIrbw0Zoz6xgTuvTuOwwfbVx2x1Pnwg8x4LsqHJKU02rVXYoaZyVJyTzH0IkQPPuDixbWyrwf5rMII4ZbSmXht0VRcIx7RpdYoXGAOw2ynApPtYgxHGEeMGJ6NHVHnP7FLhPVgMCNorlp5PezGOlaDdaF4PNIfpsAQS8Nep2kjiKSIbVTCypoiPLm7TZQ1HivknTx7KCDvi+nLEP/fQdiJqrbd3qDiUBl6L+SDaT07HfhbKt7kd/3rQukAhjWNxFvTi3Bl0ThETsaMPXxOceSYSkXe0VifxD3fSuHQoY558JEHve0KyYOz8+TB193s4JIrXLz2tcC73u3itjcBEyckYLkpxDhU489xpPUosD6hx9ENYGIxF7/6uY2nVliS2VKYt7AO//nBEZmjQEuLi89+LIXaOhu33BrG5dcUVq759a9dPPRwWrybNMYPNfG5zwcRifRvmajJTsGwA/jyKgvRuAFLDBi71LDaMuA4YrQ8q6Vsm9ry4DnZ0M76Bi5XC/1r6RkW6mnwZ/378Rpx8FARcPGhC2yUFDAg+GygOenizmck3hKsjma8sbrZQFB122fX+O5xJFIYz3zZafEEOf6SgsH7ES8u5X3TXVOvnYUwOS4FoKCkG3bF5ynqEE9mpMknn4WDb7irLGjjYxcYajqxk0UsBvyGefBJ5g8Xcxcdxx05efAzzIP1Nm69pfA8uH1LAnf+ryV/p4kh1XF8/kthFBdn9WDR9IjC3rrmjCCZdFR9vw97Y93+toAaG+dI8XLDixHERfx8Nm8A6utMlJVZWLi0bX82iUT7Eih5zWs8w+C6Fmpq00gm8l/bF8qsIH6xyUZD2rNRXsWlJEjavjzJksfVU4gFYw9TBpo0f7steEbOt330Ath2lOsNdIpcwydhYMcUfkaTBn67UURYSuca4JcbHTSJyBEWSNj+qqb1KlDkCL0wdhJxTBtizhGxHeWVsUclj/mx4Pr11/KV+71+tN5vd8CLcDnPqzaPJSz8eoPkmX6Mt455EHjz2yw1i5BINza+WNQuD27ZYKC+3kRpF3kwH0OkgOn90Q7SCXlPHbOppgdooRsANDW5+OF30/jPt5r47jetdomeY80YaAwcJ8whcQqe8+Af5VMy/pjxAclo7aM6IZnn/j+4+Nh/2fjEhx01GDYblq4DUnJ20pSO/jMUPluP29hxgp6oPDrtk7e7ownLHFNC5aZQ5EZR6jah1GlEsXyWuA2yXadCiVuHYqdBzmlBxI0j5CbV30E4I2drl/cewt/fVmNi+wltbTZLvG09bintyaanr5XnszWULzdix1GVrsdwowVDjZiEKIa4zSi3GxGSY6zCo4y44mI7qkewd498tD4H042ELbUGttb0veq5qcmRPJjC+95m4t678+RBeTY+lmO3z4MP3C/5Uh5k3LiOedAnFhMxy6lYq6/znl/ujOISjmNVuzW9RAvdACASMfDSOrabuXjpReD//chEKulVi9x7j6EGo8KwMWZCVEqWXlbfuimOg+zNZaRx/hJ2gW41ARlcrFoVRX1jCoePpPG7XwPN7Fgg/P0hMSdyacB1UCGZMxDIvbbvPHuY45+8Np6uHC0eYoY33TTGVSXxhuURvHF5MW67uAS3yedblpVKKGsNt8u+mxaHcMmsIGaPNDDEFNFLt8Biv23S3Z+ifjATMh9cYTotCrnikJ7NfvUhxpsYer7HPiQLVwQsIq7KcDOFZVMiuPUSicflpfiP5SV467JiFY83Ly3GBRMDqHCaEXHi8rtcUKetLa6VnB2qMCPBtkzx5oNYcbDv8caqe+bBlOTBdZIH/+/Hfh4Evs88KGJnifc1bmJbHty2KYEDB+RRxGvNnwdFQOsdfOOzLr7zJRPHDntpNB538NADPFduKplj4uT+bzo429BtdAOElY8n8JsfO0jZQcnXBoorbCSlKBmPcmyXIWKUwHvusDB/gZep//IHGw/82ZXzUvjq14uQr3f8ZhHDe79hSYnSm2ooXJRCKFiEpkZWAXLeSxdXXAW88bZArzyhzmiQEuyXng6qMUMZ+elIjvoF3QRmDWnEq5YOB+eW52FWfSmPUJ3hwW1Wf7GEnZCDXAZm84EmPLM/gpoYS9fijUiRW7UB5kn57f5Of1vOUzVo8v3Ty1IoPUuNDuPtKyu8eGNHKCPPAMtO4zMD/Z6ACNaISBznTwhiwcQIKqQgYbJ9z3db5F0zaqhfHP/dKAW5F/fE8ez2FOod9iBm25V3Tu4T+Ncp5BlVQUpu+9mLUijrwTCZfKx8IoFf/pQzv4jYS8orKXeRkmeLx/jcBoJWEu++A5iXyYN/vc/BX/8MlDAPfi3cIQ+y3863vprA5nUhdT9OTDB8TBSN9aaIHXv6Ghg61MYHP8IZjTq+a03h6GLCAGHZpWFc9yop1VoicIG0GG0bsbhEoBFDCHG8/vXxVpEjLz3P0mwAi5e7eUWOnDMrgle+VkyPlUJa7psWIYg1JMWMxKX0mRSRi+GWN/evyJEn9phwxEBIvlYJkCLSAVorFTJfJXCmlJBscHgtC838s8JiLULiGYSkpB2S+/ENqMHpYnvoiA4rMnDhtHK8+7IQZpadEKPaiLA65pWWc6HxaQ1yPxW4LcfYNPPQjn5+GQOIx/ey8768C4mw9mOu+Xb8kIO8Y8dkZPN9OygT+z2uOIb/uKIMy6ZGUGnJvei5iHyxpy1v60oBznQc2PEYInLPYQHgUjn3FrlmaFFM0jyroZn2mSa84MNNpicVlNvJ+wF/3551Ui9ZdkkYN94UFc8tJaKcRH0sgSgnQkdM5ZnXvD7aKnLkxTWuFBcNnL/MzpsH+dxveaeFcVNTSIXjSMmlNYeKkJbCK2tTSorS+K+PapHrD7RHN8DYtdPGjp0m6uqlZGw6GDUqiokTwxg9pm3Wjh2bY/j6FyRnRQx89NOuHM8c6IRDh1PYttXC8cPsCAAMHRHHpCkmxo6L5K1u6QtRsZR3rmybqskvfWdsUh7kgeRYwE1iVnUUNy+uQpl/rhziHJQcCsDnZkJOyzGaGgbPfIrBkyM0p6zhfXx7Eo/K+0kXlYrYimfHi3pAubzmj1xgo7jNnp0VRFMuvvqUxFu7eQCyIiID6wJycSSdWqI2TErjKwy8dkEAI8Kc819iRCKAM/F4awnwTt71vKMSM/nM+Hk4IiWNnzwdw4nmIonb9r/TXTz2Z7zt3pmWfAjUNsjzyUOOVHkwhDFZeXDb5iju/F/5Lt7/Jz5lYFIXeZBVlTt2JrFvbxjRBgNlxS7GTEhj0jTxGkv8v17TF7TQDULWrDqG2uMWZs8vU2vVnUnsl4z83edMpKlAQvdCJ4iKBRwRuqEdhe5ocxIPPX9YBC6sOiukjQBGDy3HhGHA6PIAqsSj4wRN4oYowym2CX98IYZ1R8TjRZthKpSQ2J3/PN/BmLKzK9vsbzRw72p5v5l488iKiAz5hI6FEHYKqhSv5Q2XFGNqQKRNPDwlauK5pYwgdjXb2H/MQU1Ni5rPtby8DKMkDidWirGX0/i7969pwtqmIiRT4uLlvP7uhO5Ux9tzq46i5kQA584rw9gzLA+ejWih05xSXjoK/HJdmydVkNAJyqMb2tJO6Oixba9L49erWtDohuU7+1aGVC0Z59WcUhHDK5eUY4SU4tVQKvlNVj+KPcVPnmjBsXiR/G5bHRy32tnxPFAsbzvXxty2oVIDktUth3F+SWFrsJGXjrr4xfruPeBcoWMVIquVOQnBJTNcXDE1hIiRFA8uIP8ZEh8uHlnfgJUHQ4gioq5nL0b+TJFlY1p5C65dUImdx2w8+EIz0pEy3lXdO5vunmuwxJumd3RMMRrNSeRAHeXIEzhf5PI4AZ4bwJBbdM+Cl3HkFhvy6cml2cnEtUTkOB1VEDuai/GrJ4+jNuEoUeStWBFULQ7B3KEp1bbJe3jP4spzdWMtBRrU/SKuA53bm/6Fz9U8hc3J2gL+aom3+nReMWEBJTvkg+2h1U4DFnIlfBE9g7HgOmiSrUf22lhxKISYUySix277JizLRDBgImkHsLM2gu893IQH16eRCJXKFb0zWYMl3jS9Qwud5pRytKm9sVEGkhu5otaqhJ1YT4HXKdHkf+KZcSIq1RNQUjU9CUMEryZVjX/thGqfU6nddBB0bVw5txJlHGeXUUB6HEYnHVSyocE80tB+wuqBSMxy8dvkLtx8/EHcU7NGvcOuOMquj1l0JWzZMAoNiYyZo4IYGhbRk1hiYSTEgokcf27bCUSNkESN/D7/z9yTH6ZlIGVFkAiWyblhGCKC7BzEKGI85BPerjiWk/Y0Zw9a6DSnlIYYRcUzaL5RaxUXfud2N2LTDnUP9tjjBpOzdy07PvA2HGq844iN+qR3xBGTSUGzxEoOqyyS89hdPGM9C6SmRUnzAMdFWsSuMWjjG/YGXFHzZ7WEUiqzUG4uHKaRj+y4bI3PHBLJJGZOKRORa4OnbtlnI55m7xD5ZniD+Rn4S9kixvtyP4syPRW3bGqjgyHeNL1Bt9FpTimf/2cU9WA7SxZKZPxkKBaN5FjNfG10LJ/vrE/hF8+0oBEVqsel17XcO4HGkUTsFrzjomJMrqKhFC9O9ifdIO7fksazu8S7kfM572/AsUQIMxd1Ag1tSbABb1lqyyOyQ8WZTscn5Hyi1zc84G3Lcb4zv7fj/MBQfLp0Mc4LDVXC4vO5R5vQ5FZkvrV5c7lend+l34fj5kqNBN57eRgjQ95UYeyFmU64+P26FrxwwhKvrZiONmyJByVqcp1fAm8tf/CT18oHlzr0JcuP40IEcKjViI9f3nEZHc3gRwud5pTyqYeb0WK2GUxFPm+qF0LnZIYZ0HBnU+S04LYFIUwfFRQDymnBOBA5iH/sS+KxlxwkrJA8g4mAbXRbHUeD2hSuw4ZJK9Sn63g/lv2TnIc4Fxry04K8EK4Vxz+L74aBEyhT7Lz3ZKq/mZv+n15qBHG+NQyfKzkfY0Llat+nH25CNCve2gmduo+3I/fdc9Ku0kAcd1xahKFBVi7zeVj1G8Q9j9djR0u5PIvlCVzmWt7Jf4Wtr1KOZd+6N0JX4jTgC1dzugHN2UaeLKnRDFxo7xiUUecnv4sV9D0WL8mzEk1EUf0rPhw9CQmcbaMQ6OmERWUj2cEGwhJCEiJix3MDj/GcUx34u0XyfMXyDEWZ5/AmYPZEilO9MfjvjdtFroUpwUqUWT0ffpGfjNAa7O5DifJCygjJO2d3Im9PTtmmFR6jty6PLvhPqtEUjvboNKeULz/WguNpz0tQUJH84rxKiRlr5xfvM/sK9eh4vld96bXTkUCiGbctKcXMUdxvy60txOTYvw6m8OT6NFrskJp+igZVSWDmpzujyGzA/14xsD2DqUf/H4KiHPTs+Po5AJs9Gq8MjsE3K5ehJGeh0i891oza1nhj8cAj1wPu6NG5KLXieP9lEYwIOnK+X7Z28J2n4tjSUqKimO88IKHdu5d7834puUTFjWyzbZWymX0aKcSjq5JU8qmrdNXl2Yj26DSnlEjgJCc5MY60efTOOPlKSr4YYrPLRJcMipz8x6rFlBw/Uce+fgYsEUhe05lHkcvQkMWfGfBBCRyDbC8JjcDPKy7HPZUXdxA5Umz1Nt444bGJlO3C5orz8qNsx+NkX+OGR9QqExQzPk8uvmiy2lcJoPrueeK9oaxIm7uzFR3zmlPKkJKuklw+E9Zzs6YMuPwMRc4RcassdlBRKpLGHoWG542kJByr49gwTvLszZpSaGaoLOqtqT2TkPcgf/QYoxRfCi/CLyqvwrLIaIT8NWZyGFLaO1NBbUqmLeyrd8Uz896b/+/04SYqnHrxLJ2O3lwGO81JoIGwRBrll8MLektFZDDEm6Y3aKHTnFKGl4khpUXzg0+uO8XvufsKhKtX01MxjTTK0YDLZoRQJL9lqGozT+j21zqobUqogea0xqyyDOY8UmeMqezo8Qw0itMBfDB8Hu4feh3eUDkLwawZYvIxrIxvqHewunLt9kbEMt85uTPXaptQbmDakABKjITs8l48qyD9akh+BCS5WE4SVioqgpdGiK++l3o1GOJN0zu00GlOKeMq6TF4c5Cw2rBHNovLHWTBaylMXgVkG7w3Oz6UoBnnTwhg7sgIQqyvdLmWGhCT27y06biIXFiexLuytfqsG6XjOaPL83s9A4nfVl+N91TNwzCzSP6m7LeXn3FcSycTb4yF7q9owxbP8WB9HIcbONO/oJTMRpHcaPnsaowsd2Cm4xK9rNDkPDcMjBNOBt2EqWNSmDzSQVC8P5vLbXcdRXkZLPGm6R1a6DSnlOoiQ02wS5RIietViBeVD7as0TiWSok/nI7BYjVXKoWSVAvGuA142YwAXjanHFzZS7VE8Yfk/wN1DrbXFyFFoRMLSMPNoB4jjxfJy+gl8hCXNBvSx6rLZMLBc8824be/PY4H/1aDA/vFeBdAIu7gi5/fjXe/bRvWrDma2duRXbuiePqpOjz1VAN27oxn9rZnVqQ6s1UYQ4vb4o2FgoC8TvWqCog8OostoTK8cKgZUV5jso3TQlD2jyk18NqlJVg8MomKVA2quIJ8sgFlEqrsGtwwL4Tb55fgDUtKMXdiiXh4rG5mbHVPf8ebZuCie11qTilxSW53PmOiLmGqXn+WBE5Gn9t7LxfV63JYI24+f2im1yV734kBTbg4KJ5CvW3CmyhYPDmxatVlQEUQav06jt2i1bOlXLe7CbhPRKDGLeeqex11LY8N5TyYLr1JOblKrPPHLrIR7kVNXirl4g+/cbHmKQcNLV71Ko1xQP74qecYeNt7DFRX5y970gn65Y/SePwJAyUlBr78TTfvEi4njqfx1S/F1cz5aSOIl11t4dZbMgf7QELi7a6nLYk3Q4kcQzxMb42x0EbugHFC75p/a7kZxU1zSzF/mIugeHn+wAJWbaZE+o5HgfomT8giRSEUSQllSJiz3nA2mxBqJQoe2ZjE2v383fYrAvjVndn0V7xpBj75c5VGc5KIBAwsGMGBAd6IKtW9XR3pCbyC1ZUUNRGJ4UEsHGVh8SgXi0aamF5hY5iInFqjmQInRjYuSf1A3MXfX2rEsVQYSc6bqO7VPRRDTxANXDBGvMdeGssH7jfwr4eBxmYXpngaVWUuisIcQA1s22Lhri9YSHdS7kyIoO/czjF/Ji64gGLXUeTi8vf97F4TtcfkL2cPx34kLPE2fyTjzXsXafn5Qt8fqy4DEtGOXYrH1saxSxSL4+LUHUTUTFEpLpo7phiYM8KSEMDUcgejgo4quMC1VOchphekkoU4kYr+ijfNwEcLneaUc9VkU03jRE8uHrZV9VIuTJgqyCEvsCVJWa12sI2Na50FxBRyIU/OXRmyLHUtzTLXJ2iW8NSuGH76RA121In3YIaQEuNLw8k+EPm8gWwMUSIuDkqRXj6hd1nm2NEk/vkAPQwTnIjlXf9p4VNfCOJD/xNEaQXFwMTx4wZ27chf1bh/r4FDhwMIR9K45qbMzhz+/jcXW7ezKpgWveO76itXTpZ3LZGRFJGLhyTeClAcJYryruV/tdJ3fSKIv6yJYe2+FBpFjG3xOjkfKYWPPrq3JjeHgYj/La/apNTJu6kXpfvLyhpsPBxU1zDOTkW8aQYHOvY1pxx6B/OGstu4eDZS0ufMJN3DtcsMVbJX4+PkuxfEkMr+tBjNpBjFqOyLi0FtiAG7a22s2BPHdx6pwV+3JFDrlql5FdnT0uBvd2+nFXw82vT5w20UBQt51o7UHk9g2IgWlJQ24MKLbcxbYGJItYEJE4ERI+XmBv+qJKIxz2vK5Y9/EGEWL3TsWBdlWePtfV56MYp//N0SUQhg8lS+lQL/uB7AeJs7LBNveeY5y/dm+N4C4rUl5GXHA+KFF1k4nCzCHzak8KvVLXhBCgB18qdzXCPjk9XPKREnhph839HoYOXBBH71TBx7Y+VIcBndPNWjufCvZ7xxDF5f4k0zONBtdJrTwp4aG/c+J56VeAdqeFWOd+BPzOxDYQoZCXB5zgBdgwz0ylSvSznuGt6kzBQwtsdxxTkGzqWovAo5l2JJ74I/V6jp428E5J/3LUpgIhez6wXyeJnAakvvGUhadO3OL9rYuoN/s4nPfTGJ8RPaT721f18Cn/+fImW9X/umNF52bXuROXY0hf/9VALNLUUipC7e/m4Dd3/NVuvzvexqA7fe0n/lWcbbdyXe6NUVEm98dzyH8aL8Kzmu9gmUs7CTlBjiRNs2xoyuVucY8nKi0ShqG5qk0EKPj1OFSZArDIljwvfoRaT62gqfRj0C/5EfYjvwexf3Pt40gwPt0WlOC+OHWFg4hgKV2dENrhi1BCJowhDUGsNQkwl16nM4Tpgj5HOofK9GjVmNerMKLWYJkmZQiZ7yGiX4CV4Zwx6waJTdJ2NJm8yqOMvyRG7bljo8+WgMP/q2jV27PPG77gYDo0a372RB1r8g1lq8oqLiely4vP0Li8Uc/O5XJlpE5MJhB299lyGeovxQa/Vl/2ZxxtuCHsSbwn/Z8umLHLHFO4tJHDVKXNUZVdhwOImXDidU2NUURoM5DIngEDiBUhhWGAEroGaxYQhYpvo05WVSGBly4TMyjWmR02ih05wW6A3ceI6N6ohYox5ZzVPPsIiNV8zKfOknHv9nC37zEwvrVjtwbAfLlgE3vUI8kDxVbJs2R8RTcTF3oY3SUs+jIXRq/v6QiRfXUBwNXHFNCvPm+8flPq5s93OnlJMWb3IrzlIDx4JlBEXEAqLt4quLMvqesPeZE/zL+SULeobDilyJt2xp1ZytaKHTnDbYbnL15DisrKrIMw3LTeO6Kf3fY2/oiBTKq6IZQ21gxQoXd3+TPSfbG+aDB1LYvEXOCAIXXtx+eaODB1wROq6Ll0Z5hYOX3+CNGFTIPhVapaD/6I94o+Fh8GWdVZImg3jgbItMp/IJG/flD7nw2a6dqntaajy00GlOGzRy548L4dIJtqrO86HZornPDaeCbJNJ7+XySQ7mjw61GuT+4lWvm4SvfrcSn/uGhTGjLTHWBjZtMPDi2mjmDM+4/+V+A2nHQXF5EmPHtz1FU0MaX/t8AOmEActK4dIrHbywxsXKFQ7WPs+35cozp3D4UArPPg3E2m7bZwqJt47S05785/Fm7QP7neSG7uAySpdPZLwF1F00Gi10mtPOlZMtjC4WsycGnaVzdhjxjVq2IVTG0ZASvPe1a+Q8Gjnfc/BR++QG+XpcsimJPoryU+T4mGIXV8iz9ReO4yIa5V/RxshRJiZOE7FyAmqs2d5dbfMx1tcBGzbRbKdxwdJmlPnrEwlmwEBdPKk687AX4l9FEH/yA0hwcf8f2T2fvUotbHrJxM9/YqGxIXNhP5Iv3vgOCV9v9l/K99329G3453UW8pEteOq+8qO27HAlWGkDEyKuejaNxkcLnea0w27r71sMnDvUmwWD0GDmhjZoHguB5/mhAGg01YaNOcNsvGeJ0zrtVV956AEHH7zDxXvfbuGRR1jd5u0XjUBdg9e5g1WQxaVtwwt27bZVZ5NI0MC117cfU8AB45de5mKqeJxTJloSApgyycDkycCoMRyfJllbxLOiwsSkKXLf4syF/UjeeGNgfKlvndMar5nvndF6XlbIh9dc6GDWcAfvWtp/8aYZHOjhBZozhoTYyh+stbGzQbwav05MUqdv25QXphSB3zqxeD706LKu9Sdv7g5OaTWpIo13zTcR6cf2nScfj+PnP5bncCMIihf09ncYGD8BWLfWxe9/68JJ0hty8P4PxzB3bpm65ktfbMb2zcU491wX//XRwi33/v0uPvlx9ZJw9dUG3nhrYX97b8mONw4iINnvPh++R9bteXlcb39X27UcXg5MrEzjnfONfo03zeBAe3SaMwZ2HHjnfAtXTzw9HVRoLq8cH+93kSNLLwhhzjkJyXAppKMuvvPtND7xcRu//KUNJyVCZyaxeGkCs2d7K5efOOZi5zbZdoOYt0DtKhgafzW1mkkvq6NQ9Dd+vF2j4q3NI+0KipWqdsx87wus2r1iQlyLnKZTtNBpzihoNK+bGsKtsx0MjbS10tAg0mSrkDNmqrVaK982P3lSFrnfSVXYwRvOsXHD9NBJMZahsIn3fLgcSy5yUKqqEQOIJ7noq/x2ZRIXX+7gre8sRiAgnp084OP/FPGzXYQiCcxdkO+Ju0L8V6NFXlqLfBa2MkJfYbxdK/F2yxxXxRvfvU9X8dBVIF16fHKgMuzi9ec4uH56UIucplN01aXmjMUWnfv1ZmDtYZbIHCQNTvHrDfpWHoGYQ8dg93omYZrD/CaR00BxBn2OKXMMb858Dl0OOLzexPxRwM1iLAOnoNjHDikJ0Z4j8je1NIsoDLcxdGgAlsVn9J4/lXRx12eS2L0ngsuvTePm23rW4MSOIUnxEnk3DkSneJ5KvHgzvXjjs8jjc6U5P874yXhkPCg6eTyeEZabsbjDeOJfxHjj6Vwd/VTGm2Zgo4VOc8azpzaNF46aWHM4CNVpUVIsjR2nkKK3QKNHE9pKtjuhjCMvSIiJ5DRSYnBlb1gM8LwRDi4Y42BCJScrzr7m9JJOO9i1LSreXBDjJ4bOqGfrCXtqbYm3ANYcMRBVNdGMC07klYbreGsBtpLnT6S0WW5C/uXsNlzDDrLlYu5IF0vH2GdcvGnOXLTQaQYM0STwzF4Hq0TwWsRwOukU0pxNQwldxuDlS81yyDRSsIIBlAY5MXEaV0z0Bj5rTj5R8VCf2Wd78ZYWn8xOIO1wKaHMCcSPiqwoMVzx1hhvgRDKgsB5Em+XTTZUL1SNpidoodMMONjLrz4BNEaBfY1ptfBqXdRFQ9xBKuM5FIdMhC0DQ0tNjC43MaHCQmUJUB7y2pM0p57WeIu52NfgZOLNycQbzZCL4rDEj4o3C6PLAphYEVTxVqbjTdMHtNBpNBqNZlCjm3E1Go1GM6jRQqfRaDSaQY0WOo1Go9EMarTQaTQajWZQo4VOo9FoNIMaLXQajUajGcQA/x+TWsQAY9ShLgAAAABJRU5ErkJggg==)\n", + "\n", + "4. Now, let us consider the reverse-path B-D as well. Selecting path S-A-B-D-C-T. The minimum residual capacity among the edges is 1 (D-C) and update the capacities.\n", + "5. The capacity for forward and reverse paths are considered separately.\n", + "6. Adding all the flows = 2 + 3 + 1 = 6, which is the maximum possible flow on the flow network.\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT helped in clarifying the Ford-Fulkerson algorithm's handling of negative weights and negative cycles. It provided insights into potential edge cases involving negative weights, enhancing the problem's depth and complexity.\n", + "\n", + "The main challenge was integrating the concepts of maximum flow and shortest path in the problem. This problem illustrated the significance of clear problem statements and the need to validate problem complexities effectively.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "0L5Z_BA0KQjP" + }, + "source": [ + "**References:**\n", + "\n", + "[1] https://www.sanfoundry.com/merge-sort-multiple-choice-questions-answers-mcqs/\n", + "\n", + "[2] https://www.codingninjas.com/studio/library/implementation-of-push-relabel-algorithm\n", + "\n", + "[3] https://www.simplilearn.com/tutorials/data-structure-tutorial/bellman-ford-algorithm\n", + "\n", + "[4] https://www.inf.ufpr.br/andre/textos-CI1238-INFO7056/Algorithm%20Design%20-%20Jon%20Kleinberg%2C%20%C3%89va%20Tardos.pdf" + ] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3", + "name": "python3" + }, + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/Submissions/002709710_HemaSree_Bojanapally/Assignment4.README.md b/Submissions/002709710_HemaSree_Bojanapally/Assignment4.README.md new file mode 100644 index 0000000..5d3c055 --- /dev/null +++ b/Submissions/002709710_HemaSree_Bojanapally/Assignment4.README.md @@ -0,0 +1,7 @@ +Name: Hema Sree Bojanapally +NUID: 002709710 +email: bojanapally.h@northeastern.edu + +##Assignment 4 + +This assignment's main goal was to provide with a solid understanding of P vs NP. diff --git a/Submissions/002709710_HemaSree_Bojanapally/Assignment4_002709710.ipynb b/Submissions/002709710_HemaSree_Bojanapally/Assignment4_002709710.ipynb new file mode 100644 index 0000000..e9f8c70 --- /dev/null +++ b/Submissions/002709710_HemaSree_Bojanapally/Assignment4_002709710.ipynb @@ -0,0 +1,451 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "colab": { + "provenance": [] + }, + "kernelspec": { + "name": "python3", + "display_name": "Python 3" + }, + "language_info": { + "name": "python" + } + }, + "cells": [ + { + "cell_type": "markdown", + "source": [ + "#### 1.\n", + "\n", + "**Problem Statement:**\n", + "\n", + "You are in charge of organizing a series of educational workshops. Each workshop will cover one of the n different topics, such as software development, robotics, digital marketing, project management, etc. You have received applications from m potential workshop leaders. For each of the\n", + "n topics, there is a subset of potential leaders who are experts in that area. The challenge is: For a given number k≤m), is it possible to select at most k leaders such that all n workshop topics are covered?\n", + "\n", + "**Input:**\n", + "\n", + "* An integer n, the number of workshop topics.\n", + "* An integer m, the number of potential workshop leaders.\n", + "* For each topic1≤i≤n), a list of potential leaders qualified for that topic.\n", + "* An integer k, the maximum number of leaders to be selected.\n", + "\n", + "**Output:**\n", + "* Return True if it's possible to select at most k leaders who can cover all workshop topics; otherwise, return False\n", + "\n", + "*Sample Input:*\n", + "\n", + "Number of topics: 3\n", + "\n", + "Number of leaders: 5\n", + "\n", + "Topics:\n", + "[1, 2]\n", + "[2, 3, 5]\n", + "[1, 4]\n", + "\n", + "Maximum leaders to select: 2\n", + "\n", + "*Sample Output:*\n", + "\n", + "True\n", + "\n", + "**Constraints:**\n", + "* The number of topics n and potential leaders m are positive integers.\n", + "* The list of leaders for each topic is a subset of the potential leaders.\n", + "* The maximum number of leaders k is less than or equal to m.\n", + "\n", + "** Solution and Justification:**\n", + "\n", + "The solution involves a backtracking algorithm that attempts to select a leader for each topic while not exceeding the maximum number of k leaders.\n", + "\n", + "*Pseudocode:*\n", + "\n", + "def optimal_workshop_leader_set(n, m, topics, k):\n", + " leaders_covered = set()\n", + " \n", + " def backtrack(topic_index, selected_leaders):\n", + " nonlocal leaders_covered\n", + " if len(selected_leaders) > k:\n", + " return False\n", + " if topic_index == n:\n", + " leaders_covered.update(selected_leaders)\n", + " return True\n", + " for leader in topics[topic_index]:\n", + " if leader not in selected_leaders:\n", + " if backtrack(topic_index + 1, selected_leaders + [leader]):\n", + " return True\n", + " return False\n", + " \n", + " result = backtrack(0, [])\n", + " return result and len(leaders_covered) <= k\n", + "\n", + "\n", + "*Proof of Correctness:*\n", + "\n", + "The algorithm is correct because it tries all possible combinations of leaders without exceeding the limit k. If it finds a combination where all topics are covered, it returns True. This is analogous to finding a cover for a set system, which confirms that if k subsets exist whose union covers all elements, then k leaders can cover all topics.\n", + "\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT played a critical role in understanding the structure of the NP-complete problem from the example and helped to craft a new but similar problem—Optimal Workshop Leader Set—adapting it to a workshop context. The challenge was to make sure the new problem was neither too simple nor unsolvable while preserving the computational complexity of the original problem. This exercise enhanced the understanding of NP-completeness and the application of algorithmic problem design across various real-world scenarios." + ], + "metadata": { + "id": "c_kj9Tio-yvD" + } + }, + { + "cell_type": "markdown", + "source": [ + "##### 2. \n", + "\n", + "Consider the following version of the Steiner Tree Problem, which we'll\n", + "refer to as Graphical Steiner Tree. You are given an undirected graph\n", + "G = (V, E), a set X _ V of vertices, and a number k. You want to decide\n", + "whether there is a set F ~ E of at most k edges so that in the graph (V, F),\n", + "X belongs to a single connected component.\n", + "Show that Graphical Steiner Tree is NP-complete.\n", + "\n", + "\n", + "**Problem Statement:**\n", + "\n", + "We need to determine whether, for a given undirected graph G=(V,E), a subset of vertices X⊆V, and an integer k, there exists a subset of edges F⊆E with at most k edges such that the subgraph (V,F) has X in a single connected component.\n", + "\n", + "**Input:**\n", + "* A list of vertices V.\n", + "* A list of edges E defining the connections between vertices in V.\n", + "* A subset of vertices X⊆V.\n", + "* An integer k.\n", + "\n", + "\n", + "**Output:**\n", + "* 'Yes' if such a subset F⊆E exists.\n", + "* 'No' otherwise.\n", + "\n", + "*Sample Input:*\n", + "\n", + "* V={1,2,3,4,5}\n", + "\n", + "* E={(1,2),(2,3),(3,4),(4,5),(1,5)}\n", + "\n", + "* X={1,3,5}\n", + "\n", + "* k=2\n", + "\n", + "*Sample Output:*\n", + "\n", + "'Yes' (since edges (2,3) can be chosen)\n", + "\n", + "**Constraints:**\n", + "* The graph G is undirected and does not contain self-loops or multiple edges between the same pair of vertices\n", + "* ∣X∣≤∣V∣ and X≠∅\n", + "\n", + "* k is a non-negative integer\n", + "\n", + "**Solution**\n", + "To show that the Graphical Steiner Tree problem is NP-complete, we will follow a two-step process: first proving that the problem is in NP, and then proving that it is NP-hard. If a problem is both in NP and NP-hard, it is considered NP-complete.\n", + "\n", + "*Proof for NP Completeness:*\n", + "\n", + "* A problem is in NP if a solution to the problem can be verified quickly (in polynomial time). For the Graphical Steiner Tree problem, given a set F of edges, we can verify whether F connects all vertices in X to form a single connected component in polynomial time by using a breadth-first search (BFS) or depth-first search (DFS). Thus, the Graphical Steiner Tree problem is in NP.\n", + "\n", + "*Proof of NP Hard:*\n", + "\n", + " * To prove NP-hardness, we need to show that any instance of a known NP-complete problem can be reduced to an instance of the Graphical Steiner Tree problem in polynomial time.\n", + "\n", + " * We will reduce from the classical Steiner Tree problem, which is known to be NP-complete. The classical Steiner Tree problem is: given a graph G'= (v',E') a subset of vertices R⊆V (the required vertices), and a number k' decide whether there is a subtree of G' that includes all vertices in R and has at most k' edges.\n", + "\n", + "*Here's the reduction:*\n", + "\n", + "* Reduction: Given an instance of the classical Steiner Tree problem (G′,R,k') we construct an instance of the Graphical Steiner Tree problem (G,X,k) by setting G=G′ X=R, and k=k'. This is a direct mapping where the subset of required vertices R in the classical problem becomes the set X in the Graphical Steiner Tree problem, and the bound on the number of edges k'remains the same.\n", + "\n", + "* Correctness of the reduction: If there is a solution to the classical Steiner Tree problem, then there is a subtree in G'that spans all vertices in R with at most k'edges. This subtree is also a connected component in G that connects all vertices in X with at most k edges, forming a valid solution to the Graphical Steiner Tree problem. Conversely, if there is a solution to the Graphical Steiner Tree problem, then the set F of edges forms a subtree in G'that connects all vertices in R, which is a valid solution to the classical Steiner Tree problem.\n", + "\n", + "**Justification and Proof of Correctness:**\n", + "\n", + "* The reduction from the classical Steiner Tree problem to the Graphical Steiner Tree problem is polynomial in time since we are simply renaming the components and not altering the structure or size of the problem. Moreover, because a solution to one problem is also a solution to the other, and vice versa, the reduction is valid. This demonstrates that the Graphical Steiner Tree problem is at least as hard as the classical Steiner Tree problem, which is NP-complete. Therefore, the Graphical Steiner Tree problem is NP-hard.\n", + "\n", + "Since we have shown that the Graphical Steiner Tree problem is both in NP and NP-hard, it follows that the Graphical Steiner Tree problem is NP-complete.\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT tool provided a framework for structuring the NP-completeness proof and assisted in formulating the problem statement and solution strategy.\n", + "\n", + "The main challenge was to ensure that the problem is neither trivial nor unsolvable. It was important to maintain the spirit of the classic Steiner Tree problem while presenting it in a new context.\n", + "\n", + "This problem reinforced the importance of clear problem statements and the intricacy of NP-completeness proofs. It also provided insight into how reductions work to prove the hardness of computational problems.\n", + "\n", + "\n" + ], + "metadata": { + "id": "re1tvh8rkw79" + } + }, + { + "cell_type": "markdown", + "source": [ + "##### 3.\n", + "Given sets W, X, Y, and Z, each of size n, and a collection C of ordered 4-tuples of the form (wi, xj, Yk, z~), do there exist n 4-tuples from C so that no two have an element in common? Prove that 4-Dimensional Matching is NP-complete.\n", + "\n", + "**Problem Statement:** \n", + " Given four sets W, X, Y, and Z, each containing n elements, and a collection C of ordered 4-tuples of the form (wi, xj, yk, zl), the task is to determine whether there exist n 4-tuples from C such that no two tuples share any element in common.\n", + "\n", + "**Input:**\n", + "* Four sets W, X, Y, Z each of size n.\n", + "* A collection C consisting of ordered 4-tuples (wi, xj, yk, zl).\n", + "\n", + "**Output:**\n", + "* \"YES\" if there exist n 4-tuples in C with no common elements; otherwise, \"NO\".\n", + "\n", + "\n", + "*Sample Input:*\n", + "W = {w1, w2, w3}\n", + "X = {x1, x2, x3}\n", + "Y = {y1, y2, y3}\n", + "Z = {z1, z2, z3}\n", + "C = {(w1, x1, y1, z1), (w2, x2, y2, z2), (w3, x3, y3, z3)}\n", + "\n", + "*Sample Output:*\n", + "\n", + "YES\n", + "\n", + "\n", + "**Constraints:**\n", + "* All sets W, X, Y, Z have the same number of elements, n.\n", + "\n", + "\n", + "**Solution and Justification:**\n", + "\n", + "* 4-Dimensional Matching is in NP:\n", + "\n", + " A solution to the problem can be verified in polynomial time. Given n 4-tuples, we can check that no element is repeated in polynomial time.\n", + "\n", + "* NP-hardness (Reduction from 3-Dimensional Matching):\n", + "\n", + " The 3-Dimensional Matching Problem is NP-complete. It involves sets U, V, and W, each with n elements, and a set S of triples (u, v, w), where the task is to find n triples in S with no common elements.\n", + "\n", + " To reduce 3-Dimensional Matching to 4-Dimensional Matching, add an additional set Z with n unique elements and extend each triple (u, v, w) to a 4-tuple (u, v, w, z) where z is a distinct element from Z.\n", + "\n", + " If we can solve the 4-Dimensional Matching, we can also solve the original 3-Dimensional Matching, thus proving that 4-Dimensional Matching is NP-hard.\n", + "\n", + "\n", + "**Pseudocode:**\n", + "\n", + " function is4DMatchingPossible(W, X, Y, Z, C):\n", + " # This function verifies whether a solution exists\n", + " for each combination of n 4-tuples in C:\n", + " if no element is repeated in the tuples:\n", + " return \"YES\"\n", + " return \"NO\"\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT was helpful in understanding the complexity and nuances of NP-completeness. It provided insights into the structure and requirements of proving NP-completeness, specifically in how to reduce a known NP-complete problem (3-Dimensional Matching) to the new problem (4-Dimensional Matching).\n", + "\n", + "The primary challenge was to ensure the 4-Dimensional Matching problem maintained the essence of NP-completeness while being a distinct and meaningful extension of the 3-Dimensional Matching problem.\n", + "This exercise demonstrated the way in which abstract theoretical concepts can be elaborated upon and adapted to more intricate situations, underscoring the imaginative nature of crafting problems within algorithm theory." + ], + "metadata": { + "id": "f9stZL8vuTJ9" + } + }, + { + "cell_type": "markdown", + "source": [ + "#### 4.\n", + "\n", + "You are managing a communication network, modeled by a directed graph G = (V, E). There are c users who are interested in malting use of this network. User i (for each i = t, 2 ..... c) issues a request to reserve a specific path Pi in G on which to transmit data.\n", + "You are interested in accepting as many of these path requests as\n", + "possible, subject to the following restriction: ff you accept both Pi and\n", + "then Pi and Pj cannot share any nodes. Thus, the Path Selection Problem asks: Given a directed graph G = (V, E), a set of requests P1, P2 ..... pc--each of which must be a path in G--and a number k, is it possible to select at least k of the paths so that no two of the selected paths share any nodes?\n", + "Prove that Path Selection is NP-complete.\n", + "\n", + "**Problem Statement:**\n", + "\n", + "Given a communication network modeled as a directed graph G = (V, E), where V represents the set of nodes (vertices) and E represents the set of directed edges, and there are c users, each of whom issues a request to reserve a specific path Pi in G for transmitting data, the goal is to accept as many of these path requests as possible. However, this acceptance is subject to the constraint that if you accept both Pi and Pj, then Pi and Pj cannot share any nodes in their respective paths. Prove that Path Selection is NP-complete.\n", + "\n", + "**Input:**\n", + "\n", + "* A directed graph G = (V, E), where V represents the set of nodes (vertices) and E represents the set of directed edges.\n", + "\n", + "* A set of path requests P1, P2, ..., Pc, where each Pi is a path in G represented as a sequence of nodes.\n", + "\n", + "* An integer k, representing the minimum number of paths to select.\n", + "\n", + "**Output:**\n", + "* A boolean value indicating whether it is possible to select at least k of the paths such that no two selected paths share any nodes.'\n", + "\n", + "*Sample Input:*\n", + "\n", + "Graph G:\n", + "V = {A, B, C, D, E}\n", + "E = {(A, B), (B, C), (C, D), (D, E)}\n", + "\n", + "Path Requests:\n", + "P1 = [A, B, C]\n", + "P2 = [B, C, D]\n", + "P3 = [C, D, E]\n", + "P4 = [A, B, D]\n", + "\n", + "k = 3\n", + "\n", + "*Sample Output:*\n", + "\n", + "True\n", + "\n", + "**Constraints:**\n", + "\n", + "* The number of nodes |V| and the number of edges |E| in the graph are bounded.\n", + "* The number of path requests c is bounded.\n", + "* 1 ≤ k ≤ c ≤ |V| (the minimum number of paths to select is at least 1, and the maximum is the number of nodes in the graph).\n", + "\n", + "**Solution and Justitification:**\n", + "\n", + "* The Path Selection Problem is a variation of the Set Cover Problem, which is known to be NP-complete. To prove that the Path Selection Problem is NP-complete, we can reduce an instance of the Set Cover Problem to an instance of the Path Selection Problem.\n", + "\n", + "* Given an instance of the Set Cover Problem with a universe U and a collection of sets S1, S2, ..., Sm, we can construct a directed graph G as follows:\n", + "\n", + " * Create a node in G for each element in U.\n", + " * For each set Si, create a directed path Pi in G that visits all the elements in Si.\n", + " * Set k = m (the number of sets in the Set Cover instance).\n", + "\n", + "* Now, if there exists a solution to the Set Cover Problem (i.e., a subset of sets that covers all elements in U), there also exists a solution to the Path Selection Problem, where we select the corresponding paths for the chosen sets. Conversely, if there exists a solution to the Path Selection Problem, it implies a solution to the Set Cover Problem.\n", + "\n", + "* Since the Set Cover Problem is known to be NP-complete, the reduction from Set Cover to Path Selection demonstrates that Path Selection is also NP-complete.\n", + "\n", + "\n", + "*Reflection:*\n", + "\n", + "ChatGPT assisted in understanding the problem and brainstorming ideas for formulating it.\n", + "\n", + "This problem design exercise reinforced the concept of reducing one NP-complete problem to another to establish NP-completeness. It also showed how graph-related problems can be used in various ways to illustrate the concept of NP-completeness." + ], + "metadata": { + "id": "rb0R_Z-wlujf" + } + }, + { + "cell_type": "markdown", + "source": [ + "##### 5. \n", + "Suppose you’re helping to organize a summer sports camp, and the\n", + "following problem comes up. The camp is supposed to have at least one counselor who’s skilled at each of the n sports covered by the camp\n", + "(baseball, volleyball, and so on). They have received job applications from\n", + "m potential counselors. For each of the n sports, there is some subset\n", + "of the m applicants qualified in that sport. The question is: For a given\n", + "number k < m, is it possible to hire at most k of the counselors and have\n", + "at least one counselor qualified in each of the n sports? We’ll call this the\n", + "Efficient Recruiting Problem.\n", + "Show that Efficient Recruiting is NP-complete\n", + "\n", + "\n", + "**Answer:**\n", + "\n", + "**Problem Statement:**\n", + "\n", + "Given a set of n sports required for a summer camp and m potential counselors, each with a subset of sports they are qualified to teach, the Efficient Recruiting Problem asks if it is possible to hire at most k counselors (where k < m) such that every sport has at least one qualified counselor. This decision problem aims to determine the feasibility of achieving full sports coverage with a limited number of counselor hires.\n", + "\n", + "**Input:**\n", + "\n", + "* The first line contains three integers: n (the number of sports), m (the number of potential counselors), and k (the maximum number of counselors that can be hired).\n", + "* The next n lines list the qualifications of the counselors for each sport. Each line begins with an integer q_i (the number of counselors qualified for sport i), followed by q_i space-separated integers representing the IDs of the qualified counselors.\n", + "\n", + "**Output:**\n", + "* A single line containing \"YES\" if it is possible to hire at most k counselors to cover all n sports, or \"NO\" if it is not possible.\n", + "\n", + "*Sample Input:*\n", + "\n", + "3 5 2\n", + "2 1 3\n", + "3 1 2 4\n", + "2 4 5\n", + "\n", + "*Sample Output:*\n", + "\n", + "YES\n", + "\n", + "**Constraints:**\n", + "\n", + "1. 1 ≤ n ≤ 50 (The number of sports)\n", + "2. n < m ≤ 100 (The number of potential counselors)\n", + "3. k < m (The cap on the number of hires)\n", + "\n", + "\n", + "**Solution and Justification:**\n", + "\n", + "* To show that the Efficient Recruiting Problem is NP-complete, we need to demonstrate both that it belongs to the class NP and that it is as hard as the hardest problems in NP (NP-hard).\n", + "\n", + "* A problem is in NP if a solution for the problem can be verified in polynomial time. For the Efficient Recruiting Problem, given a proposed solution (a set of k counselors), we can verify whether each of the n sports is covered by at least one of these counselors in polynomial time. This verification involves checking the qualifications of each selected counselor, a process that takes polynomial time relative to the number of counselors and sports.\n", + "\n", + "* To prove NP-hardness, we typically show that an existing NP-hard problem can be reduced to our problem in polynomial time. A standard approach is to use the Set Cover problem, which is a well-known NP-hard problem.\n", + "\n", + "A standard approach is to use the Set Cover problem, which is a well-known NP-hard problem.\n", + "\n", + "*Set Cover Problem:*\n", + "\n", + "1. Given a universe U of elements and a collection S of subsets of U, and an integer k, the goal is to determine if there exist k or fewer subsets in S whose union equals U.\n", + "\n", + "2. Reduction from Set Cover to Efficient Recruiting:\n", + "Mapping to Efficient Recruiting:\n", + "\n", + " * Each sport in the Efficient Recruiting Problem corresponds to an element in the universe U of the Set Cover problem.\n", + " * Each counselor corresponds to a subset in S, where the subset contains the sports that the counselor is qualified in.\n", + " * The task of hiring k counselors to cover all sports parallels choosing k subsets from S whose union covers U.\n", + "\n", + "3. Polynomial-time Reduction:\n", + "\n", + " * This mapping can be done in polynomial time. If you can solve the Efficient Recruiting Problem, you also solve the corresponding Set Cover problem.\n", + "\n", + "Pseudocode for Verification:\n", + "\n", + "Here's a pseudocode to verify a solution for the Efficient Recruiting Problem. This pseudocode assumes that we have a proposed solution set of k counselors and we want to check if all sports are covered.\n", + "\n", + " function isSolutionValid(counselors, sports, selectedCounselors):\n", + " coveredSports = set()\n", + "\n", + " for counselor in selectedCounselors:\n", + " for sport in counselors[counselor]:\n", + " coveredSports.add(sport)\n", + "\n", + " return len(coveredSports) == len(sports)\n", + "\n", + "\n", + "Since we can verify a solution to the Efficient Recruiting Problem in polynomial time, and it can simulate any instance of the Set Cover problem (which is NP-hard), the Efficient Recruiting Problem is NP-complete.\n", + "\n", + "\n", + "\n", + "\n", + "**Proof of Correctness:**\n", + "\n", + "* The pseudocode provided correctly verifies a solution to the Efficient Recruiting Problem by ensuring that all sports are covered by the selected set of counselors. This verification is a requisite for problems in NP, and the mapping from Set Cover ensures the NP-hardness. Therefore, the problem is NP-complete.\n", + "\n", + "\n", + "\n", + "\n", + "**Reflection: **\n", + "\n", + "ChatGPT was pivotal in elucidating the intricate concepts of NP, NP-hard, and NP-complete problems, providing essential understanding of their theoretical foundations and skillfully aiding in the transformation of these abstract concepts into the tangible framework of the Efficient Recruiting Problem.\n", + "\n", + "Creating this problem involved understanding the Set Cover problem and creatively mapping it onto a real-world scenario without losing the computational complexity. The challenge was ensuring that the problem maintained the spirit of NP-completeness while being understandable and relatable. This task highlighted the importance of clear problem definitions, the intricacy of reduction proofs, and the creativity involved in bridging abstract computational concepts with practical applications.\n", + "\n", + "\n", + "\n" + ], + "metadata": { + "id": "9cEVuujzVQMh" + } + }, + { + "cell_type": "markdown", + "source": [ + "**References: **\n", + "\n", + "[1] https://www.inf.ufpr.br/andre/textos-CI1238-INFO7056/Algorithm%20Design%20-%20Jon%20Kleinberg%2C%20%C3%89va%20Tardos.pdf" + ], + "metadata": { + "id": "0L5Z_BA0KQjP" + } + } + ] +} \ No newline at end of file