structured computation and representation in deep
play

Structured Computation and Representation in Deep Reinforcement - PowerPoint PPT Presentation

Sep 19, 2022 •117 likes •1.71k views

Structured Computation and Representation in Deep Reinforcement Learning Jessica B. Hamrick AAMAS/ICML/IJCAI Workshop on Prediction and Generative Modeling in RL Stockholm, Sweden July 15, 2018 Understanding the World in Terms of Objects and

  1. “Iterative” Controller Expert (IN, MLP, etc.) : Model of the world that evaluates proposed controls Memory (LSTM) : 
 Encodes the full history of controls and opinions Jessica Hamrick (@jhamrick) 21

  2. “Iterative” Controller Expert (IN, MLP, etc.) : Model of the world that evaluates proposed controls Memory (LSTM) : 
 Encodes the full history of controls and opinions Jessica Hamrick (@jhamrick) 21

  3. “Iterative” Controller Expert (IN, MLP, etc.) : Model of the world that evaluates proposed controls Memory (LSTM) : 
 Encodes the full history of controls and opinions Jessica Hamrick (@jhamrick) 21

  4. Iterative controller Jessica Hamrick (@jhamrick) 22

  5. Iterative controller Jessica Hamrick (@jhamrick) 22

  6. Iterative controller This is using a learned expert, which is trained simultaneously with the agent Jessica Hamrick (@jhamrick) 22

  7. Metacontroller Jessica Hamrick (@jhamrick) 23

  8. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Jessica Hamrick (@jhamrick) 23

  9. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  10. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  11. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  12. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  13. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  14. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  15. Metacontroller Manager (MLP) : Meta-level policy that determines whether to send the proposed control to the world, or to an expert, in order to minimize performance loss + resource loss Experts (IN, MLP, etc.) : Different models of the world, each with different resource costs Jessica Hamrick (@jhamrick) 23

  16. Metacontroller: simple task Jessica Hamrick (@jhamrick) 24

  17. Metacontroller: simple task Jessica Hamrick (@jhamrick) 24

  18. Metacontroller: hard task Jessica Hamrick (@jhamrick) 25

  19. Metacontroller: hard task Jessica Hamrick (@jhamrick) 25

  20. Imagination-Based Planner (Pascanu, Li, et al., 2017) Jessica Hamrick (@jhamrick) 26

  21. Imagination-Based Planner (Pascanu, Li, et al., 2017) Jessica Hamrick (@jhamrick) 26

  22. Takeaways Jessica Hamrick (@jhamrick) 27

  23. Takeaways 1. It can be useful to think about the choice of computation (which then allows e.g. choosing between multiple models). Jessica Hamrick (@jhamrick) 27

  24. Takeaways 1. It can be useful to think about the choice of computation (which then allows e.g. choosing between multiple models). 2. Enables a natural tradeoff between model-free and model- based computation by choosing the amount of computation being performed. Jessica Hamrick (@jhamrick) 27

  25. Takeaways 1. It can be useful to think about the choice of computation (which then allows e.g. choosing between multiple models). 2. Enables a natural tradeoff between model-free and model- based computation by choosing the amount of computation being performed. 3. Building in these choices is a type of structured computation that goes beyond the distinction of simply having a model or not having a model. Jessica Hamrick (@jhamrick) 27

  26. Outline 1. Structured Computation : the way that individual computations or functions are composed into more complex structures. Hamrick, Ballard, Pascanu, Vinyals, Heess, & Battaglia (2017, ICLR) 2. Structured Representation : the format of the data that computations are performed over. Hamrick*, Allen*, Bapst, Zhu, McKee, Tenenbaum, & Battaglia (2018, CogSci) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018, arXiv) Jessica Hamrick (@jhamrick) 28

  27. Outline 1. Structured Computation : the way that individual computations or functions are composed into more complex structures. Hamrick, Ballard, Pascanu, Vinyals, Heess, & Battaglia (2017, ICLR) 2. Structured Representation : the format of the data that computations are performed over. Hamrick*, Allen*, Bapst, Zhu, McKee, Tenenbaum, & Battaglia (2018, CogSci) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018, arXiv) Jessica Hamrick (@jhamrick) 28

  28. Structure in Deep Networks Sharing in space Sharing in time Fully-Connected Layer Convolutional Layer Recurrent Layer Unstructured computation Structured computation Structured computation Unstructured representation Unstructured representation Unstructured representation Jessica Hamrick (@jhamrick) 29

  29. Graph Networks Jessica Hamrick (@jhamrick) 30

  30. Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Jessica Hamrick (@jhamrick) 30

  31. Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) Jessica Hamrick (@jhamrick) 30

  32. Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) 1. Takes graphs as input, return graphs as output Jessica Hamrick (@jhamrick) 30

  33. Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) 1. Takes graphs as input, return graphs as output 2. Invariant to the permutation of the nodes and edges Jessica Hamrick (@jhamrick) 30

  34. Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) 1. Takes graphs as input, return graphs as output 2. Invariant to the permutation of the nodes and edges 3. Invariant to the number of nodes and edges Jessica Hamrick (@jhamrick) 30

  35. Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) Jessica Hamrick (@jhamrick) 31

  36. <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) Edges Nodes Globals E V u Jessica Hamrick (@jhamrick) 31

  37. <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) Edges Nodes Globals E V u Edge update e 0 e 0 j ! i u k v i e 0 i ! j = φ e ( v i , v j , e i ! j , u ) Jessica Hamrick (@jhamrick) 31

  38. <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) Edges Nodes Globals E V u Edge update Node update e 0 e 0 e 0 e 0 j ! i v 0 j ! i u u k k v i i X v 0 e 0 e 0 i ! j = φ e ( v i , v j , e i ! j , u ) i = φ v ( v i , j ! i , u ) j Jessica Hamrick (@jhamrick) 31

  39. <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="UuhsKP3lpHlY+K0A8uvGImQtNkI=">AB83icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFNKJPpB06mYSZm0IJ/Q03LhRx68+482+ctlo64GBwzn3cs+cMJXCoOt+O6Wt7Z3dvfJ+5eDw6PikenrWMUmGW+zRCa6F1LDpVC8jQIl76Wa0ziUvBtO7hd+d8q1EYl6wlnKg5iOlIgEo2gl348pjsMon84HYlCtuQ13CbJvILUoEBrUP3yhwnLYq6QSWpM3NTDHKqUTDJ5xU/MzylbEJHvG+pojE3Qb7MPCdXVhmSKNH2KSRL9fdGTmNjZnFoJxcZzbq3EP/z+hlGd0EuVJohV2x1KMokwYQsCiBDoTlDObOEMi1sVsLGVFOGtqaKLcFb/Im6Vw3PLfhPd7UmvWijJcwCXUwYNbaMIDtKANDFJ4hld4czLnxXl3PlajJafYOYc/cD5/AHRgkdw=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="XnDx5siSmE3a3o2YRMIwx8ym/9s=">ACBXicbVDLSsNAFJ34rPUVdamLwSK6KokIuiy46bKCfUATwmQ6acdOZsLMRCkhGzf+ihsXirj1H9z5N07aLT1wIXDOfdy7z1hwqjSjvNtLS2vrK6tVzaqm1vbO7v23n5HiVRi0saCdkLkSKMctLWVDPSyRBchINxfF373nkhFBb/Vk4T4MRpyGlGMtJEC+8iLkR6FUbyILvzJB2ONJSPECanwZ2zak7U8BF4pakBkq0AvLGwicxoRrzJBSfdJtJ8hqSlmJK96qSIJwmM0JH1DOYqJ8rPpFzk8McoARkKa4hpO1d8TGYqVmsSh6SxuVvNeIf7n9VMdXfkZ5UmqCcezRVHKoBawiAQOqCRYs4khCEtqboV4hCTC2gRXNSG48y8vks53Xq7s1FrdEs46iAQ3AMzoALkEDNELtAEGj+AZvI368l6sd6tj1nrklXOHIA/sD5/AD45mQo=</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="TmBm7ikN3ChoJpDcsfwhm1T5rLk=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvYVZkRQZcFNy4r2Ae0Q8mkd9rQTGZMoUy9DvcuFDErR/jzr8x03ahrQcCh3Pu5Z6cIBFcG9f9dgobm1vbO8Xd0t7+weFR+fikpeNUMWyWMSqE1CNgktsGm4EdhKFNAoEtoPxXe63J6g0j+WjmSboR3QoecgZNVbyexE1oyDMcHbZH/fLFbfmzkHWibckFVi0S9/9QYxSyOUhgmqdzE+NnVBnOBM5KvVRjQtmYDrFrqaQRaj+bh56RC6sMSBgr+6Qhc/X3RkYjradRYCfzkHrVy8X/vG5qwls/4zJDUq2OBSmgpiY5A2QAVfIjJhaQpniNithI6oM7anki3BW/3yOmld1Ty35j1cV+rVZR1FOINzqIHN1CHe2hAExg8wTO8wpszcV6cd+djMVpwljun8AfO5w/CAJH+</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="eLXdOBZMDToGpT2JKCAlGanL8=">AB9HicdVDLSgMxFL3js9ZX1aWbYBG7GjK1xXZXcOygn1AO5RMmlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrjfGHtba+sbm1ndvJ7+7tHxwWjo7bKkokZS0aiUh2PaKY4CFra4F68aSkcATrONrjO/M2VS8Si807OYuQEZhdznlGgjuf2A6LHnp9P5xYAPCkVsOxVcrpYRtqv1Oq7UDalVL3EZI8fGCxRheag8N4fRjQJWKipIEr1HBxrNyVScyrYPN9PFIsJnZAR6xkakoApN12EnqNzowyRH0nzQo0W6veNlARKzQLPTGYh1W8vE/yeon2a27KwzjRLKTLQ34ikI5Q1gAacsmoFjNDCJXcZEV0TCSh2vSUNyV8/RT9T9pl2zFd3VaKjdKqjhycwhmUwIEraMANKEFO7hAZ7g2Zpaj9aL9bocXbNWOyfwA9bJztsklE=</latexit> <latexit sha1_base64="PT7VlVtIO1b4RdkSG9z8jpkhSqk=">AB9HicbVBNS8NAEJ34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120y7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqxhslrFuB9RwKRvoEDJ24nmNAokbwWj25nfGnNtRKwecJwP6IDJULBKFrJ7yJ/wiDMxtOLnuiVym7VnYOsEi8nZchR75W+uv2YpRFXyCQ1puO5CfoZ1SiY5NiNzU8oWxEB7xjqaIRN342P3pKzq3SJ2GsbSkc/X3REYjYyZRYDsjikOz7M3E/7xOiuGNnwmVpMgVWywKU0kwJrMESF9ozlBOLKFMC3srYUOqKUObU9G4C2/vEqal1XPrXr3V+VaJY+jAKdwBhXw4BpqcAd1aACDR3iGV3hzxs6L8+58LFrXnHzmBP7A+fwBAvSKA=</latexit> <latexit sha1_base64="PT7VlVtIO1b4RdkSG9z8jpkhSqk=">AB9HicbVBNS8NAEJ34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120y7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqxhslrFuB9RwKRvoEDJ24nmNAokbwWj25nfGnNtRKwecJwP6IDJULBKFrJ7yJ/wiDMxtOLnuiVym7VnYOsEi8nZchR75W+uv2YpRFXyCQ1puO5CfoZ1SiY5NiNzU8oWxEB7xjqaIRN342P3pKzq3SJ2GsbSkc/X3REYjYyZRYDsjikOz7M3E/7xOiuGNnwmVpMgVWywKU0kwJrMESF9ozlBOLKFMC3srYUOqKUObU9G4C2/vEqal1XPrXr3V+VaJY+jAKdwBhXw4BpqcAd1aACDR3iGV3hzxs6L8+58LFrXnHzmBP7A+fwBAvSKA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="hP+6LrUf2d3tZaldqaQvEKMXyw=">AB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i7+gsTLXTzQrMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GS7KDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RtRxzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D7odBu3wMYA6nMFXEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit> <latexit sha1_base64="OfCjkcIiyDbxmNKxve032U7QH4=">AB3HicbVBNS8NAEJ3Ur1qrVq9eFovgqSRe9Ch48VjBfkAbZLOZtEs3m7A7EUroH/DiQRF/lzf/jduPg7Y+GHi8N8PMvChX0pLvf3uVre2d3b3qfu2gfnh03Dipd21WGIEdkanM9CNuUmNHZKksJ8b5GmksBdN7uZ+7xmNlZl+pGmOYcpHWiZScHJS+6nR9Fv+AmyTBCvShBVc/9cwzkSRoiahuLWDwM8pLkhKRTOasPCYs7FhI9w4KjmKdqwXNw5YxdOiVmSGVea2EL9PVHy1NpGrnOlNPYrntz8T9vUFByE5ZS5wWhFstFSaEYZWz+NIulQUFq6gXRrpbmRhzwW5aGouhGD95U3SvWoFfit48KEKZ3AOlxDANdzCPbShAwJieIE3ePek9+p9LOqeKvcTuEPvM8f/CqLKA=</latexit> <latexit sha1_base64="OfCjkcIiyDbxmNKxve032U7QH4=">AB3HicbVBNS8NAEJ3Ur1qrVq9eFovgqSRe9Ch48VjBfkAbZLOZtEs3m7A7EUroH/DiQRF/lzf/jduPg7Y+GHi8N8PMvChX0pLvf3uVre2d3b3qfu2gfnh03Dipd21WGIEdkanM9CNuUmNHZKksJ8b5GmksBdN7uZ+7xmNlZl+pGmOYcpHWiZScHJS+6nR9Fv+AmyTBCvShBVc/9cwzkSRoiahuLWDwM8pLkhKRTOasPCYs7FhI9w4KjmKdqwXNw5YxdOiVmSGVea2EL9PVHy1NpGrnOlNPYrntz8T9vUFByE5ZS5wWhFstFSaEYZWz+NIulQUFq6gXRrpbmRhzwW5aGouhGD95U3SvWoFfit48KEKZ3AOlxDANdzCPbShAwJieIE3ePek9+p9LOqeKvcTuEPvM8f/CqLKA=</latexit> <latexit sha1_base64="PwZ8GjhNs4EFPNOrNCQnWexiUCQ=">AB53icbVDLSgMxFL1TX7W+qi7dBIvQVZlxo8uCG5cV7APaQTKZTBuaZIbkjlCG/oAbF4q49Zfc+Tem7Sy0eiBwOdcu+JMiks+v6XV9nY3Nreqe7W9vYPDo/qxyc9m+aG8S5LZWoGEbVcCs27KFDyQWY4VZHk/Wh6s/D7j9xYkep7nGU8VHSsRSIYRSd1HuoNv+UvQf6SoCQNKOHyn6M4ZbniGpmk1g4DP8OwoAYFk3xeG+WZ5RN6ZgPHdVUcRsWyz3n5MIpMUlS45GslR/ThRUWTtTkUsqihO7i3E/7xhjsl1WAid5cg1W32U5JgShZHk1gYzlDOHKHMCLcrYRNqKENXTc2VEKyf/Jf0LluB3wru/Ea7WdZRhTM4hyYEcAVtuIUOdIFBDE/wAq+e8J69N+9Fa145cwp/IL38Q0CZYxc</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="6WjtAQy1eEki3DeLmUkI9Sk/Os=">AB53icbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9gFtkMnkph06mYSZiVBCf8CNC0Xc+kvu/BunaRbaemDgcM65zL0nSAXxnW/ncrG5tb2TnW3trd/cHhUPz7p6SRTDLsEYkaBFSj4BK7huBg1QhjQOB/WB6u/D7T6g0T+SDmaXox3QsecQZNVbqPNYbstQNaJV5IGlLD5r1GYsCxGaZigWg89NzV+TpXhTOC8Nso0pRN6RiHlkoao/bzYs85ubBKSKJE2ScNKdTfEzmNtZ7FgU3G1Ez0qrcQ/OGmYlu/JzLNDMo2fKjKBPEJGRxNAm5QmbEzBLKFLe7EjahijJjq6nZErzVk9dJ7LluS3v/qrRbpZ1VOEMzqEJHlxDG+6gA1gEMIzvMKbw50X5935WEYrTjlzCn/gfP4A6WMYA=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="hP+6LrUf2d3tZaldqaQvEKMXyw=">AB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i7+gsTLXTzQrMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GS7KDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RtRxzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D7odBu3wMYA6nMFXEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit> <latexit sha1_base64="ywz7v1q7Yrl4nBX/+QcnkaM0kGo=">AB6XicbZBLSwMxFIXv+Kz1Vd26CRbRVZlxo0vBjcsK9gHtUDLpnRqayYzJnWIZ+jvcuFDEP+TOf2P6WGjrgcDHOQn35kSZkpZ8/9tbW9/Y3Nou7ZR39/YPDitHe02b5kZgQ6QqNe2IW1RSY4MkKWxnBnkSKWxFw9tp3hqhsTLVDzTOMEz4QMtYCk7OCruEzxTFBU7Oe8NeperX/JnYKgQLqMJC9V7lq9tPRZ6gJqG4tZ3AzygsuCEpFE7K3dxixsWQD7DjUPMEbVjMlp6wM+f0WZwadzSxmfv7RcETa8dJ5G4mnB7tcjY1/8s6OcXYSF1lhNqMR8U54pRyqYNsL40KEiNHXBhpNuViUduCDXU9mVECx/eRWal7XArwX3PpTgBE7hAgK4ghu4gzo0QMATvMAbvHsj79X7mNe15i16O4Y/8j5/AKfckNQ=</latexit> <latexit sha1_base64="ywz7v1q7Yrl4nBX/+QcnkaM0kGo=">AB6XicbZBLSwMxFIXv+Kz1Vd26CRbRVZlxo0vBjcsK9gHtUDLpnRqayYzJnWIZ+jvcuFDEP+TOf2P6WGjrgcDHOQn35kSZkpZ8/9tbW9/Y3Nou7ZR39/YPDitHe02b5kZgQ6QqNe2IW1RSY4MkKWxnBnkSKWxFw9tp3hqhsTLVDzTOMEz4QMtYCk7OCruEzxTFBU7Oe8NeperX/JnYKgQLqMJC9V7lq9tPRZ6gJqG4tZ3AzygsuCEpFE7K3dxixsWQD7DjUPMEbVjMlp6wM+f0WZwadzSxmfv7RcETa8dJ5G4mnB7tcjY1/8s6OcXYSF1lhNqMR8U54pRyqYNsL40KEiNHXBhpNuViUduCDXU9mVECx/eRWal7XArwX3PpTgBE7hAgK4ghu4gzo0QMATvMAbvHsj79X7mNe15i16O4Y/8j5/AKfckNQ=</latexit> <latexit sha1_base64="Wxt2EGaSkqmyg6rX9KQvpR9rldE=">AB9HicbVA9TwJBEN3DL8Qv1NJmIzFSkTsbLUlsLDGRjwQuZG+Zgw17e+fuHJFc+B02Fhpj64+x89+4wBUKvmSl/dmMjMvSKQw6LrfTmFjc2t7p7hb2ts/ODwqH5+0TJxqDk0ey1h3AmZACgVNFCihk2hgUSChHYxv5357AtqIWD3gNAE/YkMlQsEZWsnvITxhEGYwu+yP+WKW3MXoOvEy0mF5Gj0y1+9QczTCBRyYzpem6CfsY0Ci5hVuqlBhLGx2wIXUsVi8D42eLoGb2wyoCGsbalkC7U3xMZi4yZRoHtjBiOzKo3F/zuimGN34mVJIiKL5cFKaSYkznCdCB0MBRTi1hXAt7K+UjphlHm1PJhuCtvrxOWlc1z615926lXs3jKJIzck6qxCPXpE7uSIM0CSeP5Jm8kjdn4rw4787HsrXg5DOn5A+czx/qpZIV</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="Iztn6Umi7rLG5lNF0JpW0x6J+s0=">AB9HicbVBNS8NAEN34WetX1aOXxSL2VBIR9Fjw4rGC/YA2lM120i7dbOLupFhCf4cXD4p49cd489+4bXPQ1gcDj/dmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR03TZxqDg0ey1i3A2ZACgUNFCihnWhgUSChFYxuZ35rDNqIWD3gJAE/YgMlQsEZWsnvIjxhEGYwveiNeqWyW3XnoKvEy0mZ5Kj3Sl/dfszTCBRyYzpeG6CfsY0Ci5hWuymBhLGR2wAHUsVi8D42fzoKT23Sp+GsbalkM7V3xMZi4yZRIHtjBgOzbI3E/zOimGN34mVJIiKL5YFKaSYkxnCdC+0MBRTixhXAt7K+VDphlHm1PRhuAtv7xKmpdVz61691flWiWPo0BOyRmpEI9ckxq5I3XSIJw8kmfySt6csfPivDsfi9Y1J585IX/gfP4A6+WSGQ=</latexit> <latexit sha1_base64="RuJ/WOWmv0qWsx0aAsZGj4qvbr4=">AB8nicdVDJSgNBEO2JW4xb1KOXxiDmNMxk0cwt4MVjBLPAZAg9nZ6kSc9Cd40YhnyGFw+KePVrvPk3dhZBR8UPN6roqenwiuwLI+jNza+sbmVn67sLO7t39QPDzqDiVlLVpLGLZ84ligkesDRwE6yWSkdAXrOtPruZ+945JxePoFqYJ80IyinjAKQEtuX1g9+AHWTo7HxRLlm5aFTqFrbMulOrNmqaNCpO1XGwbVoLlNAKrUHxvT+MaRqyCKgSrm2lYCXEQmcCjYr9FPFEkInZMRcTSMSMuVli5Nn+EwrQxzEUlcEeKF+n8hIqNQ09HVnSGCsfntz8S/PTSFoeBmPkhRYRJeLglRgiPH8fzklEQU0IlVzfiumYSEJBp1TQIXx9iv8nYpW6Z9Uys1y6s48ugEnaIystElaqJr1EJtRFGMHtATejbAeDRejNdla85YzRyjHzDePgEJTZGr</latexit> <latexit sha1_base64="RuJ/WOWmv0qWsx0aAsZGj4qvbr4=">AB8nicdVDJSgNBEO2JW4xb1KOXxiDmNMxk0cwt4MVjBLPAZAg9nZ6kSc9Cd40YhnyGFw+KePVrvPk3dhZBR8UPN6roqenwiuwLI+jNza+sbmVn67sLO7t39QPDzqDiVlLVpLGLZ84ligkesDRwE6yWSkdAXrOtPruZ+945JxePoFqYJ80IyinjAKQEtuX1g9+AHWTo7HxRLlm5aFTqFrbMulOrNmqaNCpO1XGwbVoLlNAKrUHxvT+MaRqyCKgSrm2lYCXEQmcCjYr9FPFEkInZMRcTSMSMuVli5Nn+EwrQxzEUlcEeKF+n8hIqNQ09HVnSGCsfntz8S/PTSFoeBmPkhRYRJeLglRgiPH8fzklEQU0IlVzfiumYSEJBp1TQIXx9iv8nYpW6Z9Uys1y6s48ugEnaIystElaqJr1EJtRFGMHtATejbAeDRejNdla85YzRyjHzDePgEJTZGr</latexit> <latexit sha1_base64="RuJ/WOWmv0qWsx0aAsZGj4qvbr4=">AB8nicdVDJSgNBEO2JW4xb1KOXxiDmNMxk0cwt4MVjBLPAZAg9nZ6kSc9Cd40YhnyGFw+KePVrvPk3dhZBR8UPN6roqenwiuwLI+jNza+sbmVn67sLO7t39QPDzqDiVlLVpLGLZ84ligkesDRwE6yWSkdAXrOtPruZ+945JxePoFqYJ80IyinjAKQEtuX1g9+AHWTo7HxRLlm5aFTqFrbMulOrNmqaNCpO1XGwbVoLlNAKrUHxvT+MaRqyCKgSrm2lYCXEQmcCjYr9FPFEkInZMRcTSMSMuVli5Nn+EwrQxzEUlcEeKF+n8hIqNQ09HVnSGCsfntz8S/PTSFoeBmPkhRYRJeLglRgiPH8fzklEQU0IlVzfiumYSEJBp1TQIXx9iv8nYpW6Z9Uys1y6s48ugEnaIystElaqJr1EJtRFGMHtATejbAeDRejNdla85YzRyjHzDePgEJTZGr</latexit> <latexit sha1_base64="RuJ/WOWmv0qWsx0aAsZGj4qvbr4=">AB8nicdVDJSgNBEO2JW4xb1KOXxiDmNMxk0cwt4MVjBLPAZAg9nZ6kSc9Cd40YhnyGFw+KePVrvPk3dhZBR8UPN6roqenwiuwLI+jNza+sbmVn67sLO7t39QPDzqDiVlLVpLGLZ84ligkesDRwE6yWSkdAXrOtPruZ+945JxePoFqYJ80IyinjAKQEtuX1g9+AHWTo7HxRLlm5aFTqFrbMulOrNmqaNCpO1XGwbVoLlNAKrUHxvT+MaRqyCKgSrm2lYCXEQmcCjYr9FPFEkInZMRcTSMSMuVli5Nn+EwrQxzEUlcEeKF+n8hIqNQ09HVnSGCsfntz8S/PTSFoeBmPkhRYRJeLglRgiPH8fzklEQU0IlVzfiumYSEJBp1TQIXx9iv8nYpW6Z9Uys1y6s48ugEnaIystElaqJr1EJtRFGMHtATejbAeDRejNdla85YzRyjHzDePgEJTZGr</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="bWs69jK+tL+ErF9KfyhSyWRdKSk=">ACBXicdVC7SgNBFJ31GeNr1VKLwSBaLbMxyWoXsEkZwTwgCWF2MpuMmX0wM6uEZRsbf8XGQhFb/8HOv3E2iaCiBy4czrmXe+9xI86kQujDWFhcWl5Zza3l1zc2t7bNnd2mDGNBaIOEPBRtF0vKWUAbilO25Gg2Hc5bnji8xv3VAhWRhcqUlEez4eBsxjBCst9c2Dro/VyPUSmvaT65gw5HCQoS3kKXHfbOArKJTLhVPIbIqTtmuOJqc28hBNrQtNEUBzFHvm+/dQUhinwaKcCxlx0aR6iVYKEY4TfPdWNIkzEe0o6mAfap7CXTL1J4pJUB9EKhK1Bwqn6fSLAv5cR3dWd2s/ztZeJfXidW3lkvYUEUKxqQ2SIv5lCFMIsEDpigRPGJpgIpm+FZIQFJkoHl9chfH0K/yfNomUjy74sFaq1eRw5sA8OwQmwgQOqoAbqoAEIuAMP4Ak8G/fGo/FivM5aF4z5zB74AePtE6glmVM=</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="VbNmaAiBTb5ju/G+yhwMDQ4YLfU=">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</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">ACSHicdVBNS8NAFNzUr1q/qh69LBZBQUqi1XgRCl48KlgVmho25d2624SdjeVEvLzvHj05m/w4kERb25rFRUdWBhm5vHeTpBwprRtP1iFicmp6ZnibGlufmFxqby8cq7iVFJo0JjH8jIgCjiLoKGZ5nCZSCAi4HARXB8N/Ys+SMXi6EwPEmgJ0olYyCjRvLvieI7gZh1s9duUlkgk49JIu8/ub361t7KlU+D38KULuZz1Psk5XEynjG8zy8fj2VybNt/xyxa7u7Lt7uzY2xK3tOe6IHNhuDTtVe4QKGuPEL97ZimAiJNOVGq6diJbmVEakY5CUvVZAQek060DQ0IgJUKxsVkeMNo7RxGEvzIo1H6veJjAilBiIwyeGJ6rc3FP/ymqkOD1oZi5JUQ0Q/FoUpxzrGw1Zxm0mgmg8MIVQycyumXSIJ1ab7kinh86f4f3K+U3XsqnNaq9SPx3U0RpaR5vIQS6qo2N0ghqIolv0iJ7Ri3VnPVmv1tHtGCNZ1bRDxQK7yitPI=</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="V2b5Xhg8CWMzWvpKav0COk0EaOE=">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</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="a1hco1MShws4KpmpFnenOcfEqyc=">AB9HicdVDLSgMxFM34rPVdekmWMSuhkxtsd0V3LisYB/QDiWT3mlDMw+TKEM/Q43LhRx68e482/MtBVU9EDgcM693JPjxYIrTciHtba+sbm1ndvJ7+7tHxwWjo7bKkokgxaLRCS7HlUgeAgtzbWAbiyBp6Aje5zvzOFKTiUXinZzG4AR2F3OeMaiO5/YDqsenML8YTAaFIrGdCilXy5jY1XqdVOqG1KqXpEywY5MFimiF5qDw3h9GLAkg1ExQpXoOibWbUqk5EzDP9xMFMWUTOoKeoSENQLnpIvQcnxtliP1ImhdqvFC/b6Q0UGoWeGYyC6l+e5n4l9dLtF9zUx7GiYaQLQ/5icA6wlkDeMglMC1mhlAmucmK2ZhKyrTpKW9K+Pop/p+0y7ZjurqtFBulVR05dIrOUAk56Ao10A1qohZi6B49oCf0bE2tR+vFel2OrlmrnRP0A9bJyRskI=</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="Wl/NKcf+4FQq41kPZqpr8GSpKP8=">AB8XicbVDLSsNAFL2pr1pfVZduBovQVUlE0GXBjcsK9oFtKJPpTt0MgkzE6GE/oUbF4q49W/c+TdO2iy09cDA4Zx7mXNPkAiujet+O6WNza3tnfJuZW/4PCoenzS0XGqGLZLGLVC6hGwSW2DTcCe4lCGgUCu8H0Nve7T6g0j+WDmSXoR3QsecgZNVZ6HETUTIwS+fDas1tuAuQdeIVpAYFWsPq12AUszRCaZigWvc9NzF+RpXhTOC8Mkg1JpRN6Rj7lkoaofazReI5ubDKiISxsk8aslB/b2Q0noWBXYyT6hXvVz8z+unJrzxMy6T1KBky4/CVBATk/x8MuIKmREzSyhT3GYlbEIVZcaWVLEleKsnr5POZcNzG979Va1ZL+owxmcQx08uIYm3EL2sBAwjO8wpujnRfn3flYjpacYucU/sD5/AHw2JD/</latexit> <latexit sha1_base64="u5sfYLOa+68NsR/d6B45l/BHAY=">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</latexit> <latexit sha1_base64="u5sfYLOa+68NsR/d6B45l/BHAY=">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</latexit> <latexit sha1_base64="u5sfYLOa+68NsR/d6B45l/BHAY=">ACWnicdVFNa9tAEF0pbZzY/XDT3nJZagopBCO5TpVLINCLjw7EjsFyxWo9stfeldT9SDFCfzKXUuhfKXQtf6Qt7cDC4703zMzbOdMac/7rgHT54e1o6O641nz1+8bL46GarMSAoDmvFMjmKigLMUBpDqNcAhExh7t4+Wmt392DVCxLb/Uqh4kgs5QljBJtqaj5JREz+OkMOXnMJdMAL7CYT5nkTkLlRERwzvHfRmxrecV1rBzhflXofSEqFks7kmUmZf8aJ8tO+nvI+aLa/d+RhcfPCwBUH3wg8qcOkFXey3vapaFv9qPkQTjNqBKSacqLU2PdyPSmI1IxyKOuhUZATuiQzGFuYEgFqUlTRlPidZaY4yaR9qcYV+3tHQYRSKxFb53pF9be2Jv+ljY1OLicFS3OjIaWbQYnhWGd4nTOeMglU85UFhEpmd8V0TiSh2v5G3YawuxT/Hw7bd9r+zfd1nVvG8cROkVv0RnyUYCuUQ/10QBR9A39dA6dmvPDd1jt7Gxus625zX6o9w3vwCBl7ce</latexit> <latexit sha1_base64="u5sfYLOa+68NsR/d6B45l/BHAY=">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</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="odgf4wypY9ZT7jYsEida2s56YOk=">AB6HicdVDLSgNBEOyNrxhfUY9eBoPgaZmNiZtjwEuOCZgHJEuYnUySMbMPZmaFsOQLvHhQxKuf5M2/cbKJoKIFDUVN91dfiy40h/WLmNza3tnfxuYW/4PCoeHzSUVEiKWvTSESy5xPFBA9ZW3MtWC+WjAS+YF1/drP0u/dMKh6Ft3oeMy8gk5CPOSXaSK3OsFjCdvnarV5hZIhbqTpuRmrYrSDHxhlKsEZzWHwfjCKaBCzUVBCl+g6OtZcSqTkVbFEYJIrFhM7IhPUNDUnAlJdmhy7QhVFGaBxJU6FGmfp9IiWBUvPAN50B0VP121uKf3n9RI9rXsrDONEspKtF40QgHaHl12jEJaNazA0hVHJzK6JTIgnVJpuCeHrU/Q/6ZRtB9tOq1KqN9Zx5OEMzuESHChDg1oQhsoMHiAJ3i27qxH68V6XbXmrPXMKfyA9fYJI9eNLQ=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="LEJ63NBpMraWbVZsj0tkFZDVdY=">AB6HicdVBNS8NAEJ34WetX1aOXxSJ4CkltTY8FEXpswX5AG8pmu23XbjZhdyOU0F/gxYMiXv1J3vw3btMKvpg4PHeDPzgpgzpR3nw1pb39jc2s7t5Hf39g8OC0fHbRUlktAWiXgkuwFWlDNBW5pTruxpDgMO0E0+uF37mnUrFI3OpZTP0QjwUbMYK1kZo3g0LRsUtXuXSQYZ45YrZaTqeGXk2k6GIqzQGBTe+8OIJCEVmnCsVM91Yu2nWGpGOJ3n+4miMSZTPKY9QwUOqfLT7NA5OjfKEI0iaUpolKnfJ1IcKjULA9MZYj1Rv72F+JfXS/So6qdMxImgiwXjRKOdIQWX6Mhk5RoPjME8nMrYhMsMREm2zyJoSvT9H/pF2yXcd2m+Virb6KIwencAYX4IHNahDA1pAgMIDPMGzdWc9Wi/W67J1zVrNnMAPWG+fChONHA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> <latexit sha1_base64="eRAD8wnTQLVOsQuOEyaXMrO5E5Y=">AB8XicdVBNS8NAFHypX7V+VT16WSyCp5LU1vRY8NJjBVuLbSib7aZdutmE3Y1Qv+Fw+KePXfePfuEkrqOjAwjDzHjtv/JgzpW37wyqsrW9sbhW3Szu7e/sH5cOjnoSWiXRDySfR8rypmgXc0p/1YUhz6nN76s6vMv72nUrFI3Oh5TL0QTwQLGMHaSHfDEOupH6TJYlSu2NXapdu4sJEhbr3huDlp2m4dOVU7RwVW6IzK78NxRJKQCk04Vmrg2LH2Uiw1I5wuSsNE0RiTGZ7QgaECh1R5aZ54gc6MkZBJM0TGuXq940Uh0rNQ9MZgnVby8T/IGiQ6aXspEnGgqyPKjIOFIRyg7H42ZpETzuSGYSGayIjLFEhNtSiqZEr4uRf+TXq3q2FXnul5ptVd1FOETuEcHChBW3oQBcICHiAJ3i2lPVovVivy9GCtdo5h+w3j4BadCRbA=</latexit> Graph Networks Gori et al. (2005), Scarselli et al. (2005), Scarselli et al. (2009), Li et al. (2015), Gilmer et al. (2017) Battaglia, Hamrick, Bapst, Sanchez-Gonzalez, Zambaldi, et al. (2018) Edges Nodes Globals E V u Edge update Node update Globals update e 0 e 0 e 0 e 0 e 0 e 0 u 0 j ! i v 0 j ! i v 0 j ! i u u k k k v i i i u 0 = φ u ( X X X v 0 e 0 v 0 e 0 e 0 i ! j = φ e ( v i , v j , e i ! j , u ) i = φ v ( v i , j ! i , u ) i ! j , u ) i , j i i,j Jessica Hamrick (@jhamrick) 31

  40. The Gluing Task Joint work with Kelsey Allen (MIT) Goal: glue blocks together to make the tower stable, using the minimum amount of glue. Jessica Hamrick (@jhamrick) 32

  41. The Gluing Task Joint work with Kelsey Allen (MIT) Goal: glue blocks together to make the tower stable, using the minimum amount of glue. Jessica Hamrick (@jhamrick) 32

  42. The Gluing Task Joint work with Kelsey Allen (MIT) Goal: glue blocks together to make the tower stable, using the minimum amount of glue. Jessica Hamrick (@jhamrick) 32

  43. The Gluing Task Joint work with Kelsey Allen (MIT) Goal: glue blocks together to make the tower stable, using the minimum amount of glue. Jessica Hamrick (@jhamrick) 32

  44. Jessica Hamrick (@jhamrick) 33

  45. Jessica Hamrick (@jhamrick) 33

  46. Learning a Policy Over the Edges of a Graph Jessica Hamrick (@jhamrick) 34

  47. Learning a Policy Over the Edges of a Graph Jessica Hamrick (@jhamrick) 34

  48. <latexit sha1_base64="xCEPSgjeJaAOpNxwTZXrwRukIg=">AB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYGMjRDAfkBxhb7OXLNnbu+zOCeHIn7CxUMTWv2Pnv3GTXKGJDwYe780wMy9IpDout9OYW19Y3OruF3a2d3bPygfHjVNnGrGyWsW4H1HApFG+gQMnbieY0CiRvBaPbmd964tqIWD3iJOF+RAdKhIJRtFK7iyLihtz3yhW36s5BVomXkwrkqPfKX91+zNKIK2SGtPx3AT9jGoUTPJpqZsanlA2ogPesVRu8bP5vdOyZlV+iSMtS2FZK7+nshoZMwkCmxnRHFolr2Z+J/XSTG89jOhkhS5YotFYSoJxmT2POkLzRnKiSWUaWFvJWxINWVoIyrZELzl1dJ86LquVXv4bJSu8njKMIJnMI5eHAFNbiDOjSAgYRneIU3Z+y8O/Ox6K14OQzx/AHzucPqJqPrw=</latexit> <latexit sha1_base64="xCEPSgjeJaAOpNxwTZXrwRukIg=">AB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYGMjRDAfkBxhb7OXLNnbu+zOCeHIn7CxUMTWv2Pnv3GTXKGJDwYe780wMy9IpDout9OYW19Y3OruF3a2d3bPygfHjVNnGrGyWsW4H1HApFG+gQMnbieY0CiRvBaPbmd964tqIWD3iJOF+RAdKhIJRtFK7iyLihtz3yhW36s5BVomXkwrkqPfKX91+zNKIK2SGtPx3AT9jGoUTPJpqZsanlA2ogPesVRu8bP5vdOyZlV+iSMtS2FZK7+nshoZMwkCmxnRHFolr2Z+J/XSTG89jOhkhS5YotFYSoJxmT2POkLzRnKiSWUaWFvJWxINWVoIyrZELzl1dJ86LquVXv4bJSu8njKMIJnMI5eHAFNbiDOjSAgYRneIU3Z+y8O/Ox6K14OQzx/AHzucPqJqPrw=</latexit> <latexit sha1_base64="xCEPSgjeJaAOpNxwTZXrwRukIg=">AB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYGMjRDAfkBxhb7OXLNnbu+zOCeHIn7CxUMTWv2Pnv3GTXKGJDwYe780wMy9IpDout9OYW19Y3OruF3a2d3bPygfHjVNnGrGyWsW4H1HApFG+gQMnbieY0CiRvBaPbmd964tqIWD3iJOF+RAdKhIJRtFK7iyLihtz3yhW36s5BVomXkwrkqPfKX91+zNKIK2SGtPx3AT9jGoUTPJpqZsanlA2ogPesVRu8bP5vdOyZlV+iSMtS2FZK7+nshoZMwkCmxnRHFolr2Z+J/XSTG89jOhkhS5YotFYSoJxmT2POkLzRnKiSWUaWFvJWxINWVoIyrZELzl1dJ86LquVXv4bJSu8njKMIJnMI5eHAFNbiDOjSAgYRneIU3Z+y8O/Ox6K14OQzx/AHzucPqJqPrw=</latexit> <latexit sha1_base64="xCEPSgjeJaAOpNxwTZXrwRukIg=">AB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYGMjRDAfkBxhb7OXLNnbu+zOCeHIn7CxUMTWv2Pnv3GTXKGJDwYe780wMy9IpDout9OYW19Y3OruF3a2d3bPygfHjVNnGrGyWsW4H1HApFG+gQMnbieY0CiRvBaPbmd964tqIWD3iJOF+RAdKhIJRtFK7iyLihtz3yhW36s5BVomXkwrkqPfKX91+zNKIK2SGtPx3AT9jGoUTPJpqZsanlA2ogPesVRu8bP5vdOyZlV+iSMtS2FZK7+nshoZMwkCmxnRHFolr2Z+J/XSTG89jOhkhS5YotFYSoJxmT2POkLzRnKiSWUaWFvJWxINWVoIyrZELzl1dJ86LquVXv4bJSu8njKMIJnMI5eHAFNbiDOjSAgYRneIU3Z+y8O/Ox6K14OQzx/AHzucPqJqPrw=</latexit> <latexit sha1_base64="pet508Ca1uIZM8cv8xqNGylB9w=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqswUQRcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72f9Wr9cavuHGiVeDmpQI5Gv/zVG0QkEVQawrHWXc+NjZ9iZRjhdFbqJZrGmIzxkHYtlVhQ7afz0DN0ZpUBCiNlnzRorv7eSLHQeioCO5mF1MteJv7ndRMTXvkpk3FiqCSLQ2HCkYlQ1gAaMEWJ4VNLMFHMZkVkhBUmxvZUsiV4y19eJa1a1XOr3sNFpX6d1GEziFc/DgEupwBw1oAoEneIZXeHMmzovz7nwsRgtOvnMf+B8/gCiYZH5</latexit> <latexit sha1_base64="pet508Ca1uIZM8cv8xqNGylB9w=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqswUQRcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72f9Wr9cavuHGiVeDmpQI5Gv/zVG0QkEVQawrHWXc+NjZ9iZRjhdFbqJZrGmIzxkHYtlVhQ7afz0DN0ZpUBCiNlnzRorv7eSLHQeioCO5mF1MteJv7ndRMTXvkpk3FiqCSLQ2HCkYlQ1gAaMEWJ4VNLMFHMZkVkhBUmxvZUsiV4y19eJa1a1XOr3sNFpX6d1GEziFc/DgEupwBw1oAoEneIZXeHMmzovz7nwsRgtOvnMf+B8/gCiYZH5</latexit> <latexit sha1_base64="pet508Ca1uIZM8cv8xqNGylB9w=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqswUQRcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72f9Wr9cavuHGiVeDmpQI5Gv/zVG0QkEVQawrHWXc+NjZ9iZRjhdFbqJZrGmIzxkHYtlVhQ7afz0DN0ZpUBCiNlnzRorv7eSLHQeioCO5mF1MteJv7ndRMTXvkpk3FiqCSLQ2HCkYlQ1gAaMEWJ4VNLMFHMZkVkhBUmxvZUsiV4y19eJa1a1XOr3sNFpX6d1GEziFc/DgEupwBw1oAoEneIZXeHMmzovz7nwsRgtOvnMf+B8/gCiYZH5</latexit> <latexit sha1_base64="pet508Ca1uIZM8cv8xqNGylB9w=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqswUQRcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72f9Wr9cavuHGiVeDmpQI5Gv/zVG0QkEVQawrHWXc+NjZ9iZRjhdFbqJZrGmIzxkHYtlVhQ7afz0DN0ZpUBCiNlnzRorv7eSLHQeioCO5mF1MteJv7ndRMTXvkpk3FiqCSLQ2HCkYlQ1gAaMEWJ4VNLMFHMZkVkhBUmxvZUsiV4y19eJa1a1XOr3sNFpX6d1GEziFc/DgEupwBw1oAoEneIZXeHMmzovz7nwsRgtOvnMf+B8/gCiYZH5</latexit> <latexit sha1_base64="sfcetjriA53KVhP8LRkSGs9KNA=">AB+3icbVDLSsNAFJ34rPUV69LNYBFclUQEXbgouNCVLAPaEOYTCft0HmEmYlYQn7FjQtF3Poj7vwbJ20W2npg4HDOvdwzJ0oY1cbzvp2V1bX1jc3KVnV7Z3dv3z2odbRMFSZtLJlUvQhpwqgbUMNI71EcQjRrR5Lrwu49EaSrFg5kmJOBoJGhMTJWCt3agCMzVjy7ucvDEtF8tCtew1vBrhM/JLUQYlW6H4NhKnAiDGdK673uJCTKkDMWM5NVBqkmC8ASNSN9SgTjRQTbLnsMTqwxhLJV9wsCZ+nsjQ1zrKY/sZJFUL3qF+J/XT018GWRUJKkhAs8PxSmDRsKiCDikimDpYgrKjNCvEYKYSNratqS/AXv7xMOmcN32v49+f15lVZRwUcgWNwCnxwAZrgFrRAG2DwBJ7BK3hzcufFeXc+5qMrTrlzCP7A+fwBopiUyw=</latexit> <latexit sha1_base64="sfcetjriA53KVhP8LRkSGs9KNA=">AB+3icbVDLSsNAFJ34rPUV69LNYBFclUQEXbgouNCVLAPaEOYTCft0HmEmYlYQn7FjQtF3Poj7vwbJ20W2npg4HDOvdwzJ0oY1cbzvp2V1bX1jc3KVnV7Z3dv3z2odbRMFSZtLJlUvQhpwqgbUMNI71EcQjRrR5Lrwu49EaSrFg5kmJOBoJGhMTJWCt3agCMzVjy7ucvDEtF8tCtew1vBrhM/JLUQYlW6H4NhKnAiDGdK673uJCTKkDMWM5NVBqkmC8ASNSN9SgTjRQTbLnsMTqwxhLJV9wsCZ+nsjQ1zrKY/sZJFUL3qF+J/XT018GWRUJKkhAs8PxSmDRsKiCDikimDpYgrKjNCvEYKYSNratqS/AXv7xMOmcN32v49+f15lVZRwUcgWNwCnxwAZrgFrRAG2DwBJ7BK3hzcufFeXc+5qMrTrlzCP7A+fwBopiUyw=</latexit> <latexit sha1_base64="sfcetjriA53KVhP8LRkSGs9KNA=">AB+3icbVDLSsNAFJ34rPUV69LNYBFclUQEXbgouNCVLAPaEOYTCft0HmEmYlYQn7FjQtF3Poj7vwbJ20W2npg4HDOvdwzJ0oY1cbzvp2V1bX1jc3KVnV7Z3dv3z2odbRMFSZtLJlUvQhpwqgbUMNI71EcQjRrR5Lrwu49EaSrFg5kmJOBoJGhMTJWCt3agCMzVjy7ucvDEtF8tCtew1vBrhM/JLUQYlW6H4NhKnAiDGdK673uJCTKkDMWM5NVBqkmC8ASNSN9SgTjRQTbLnsMTqwxhLJV9wsCZ+nsjQ1zrKY/sZJFUL3qF+J/XT018GWRUJKkhAs8PxSmDRsKiCDikimDpYgrKjNCvEYKYSNratqS/AXv7xMOmcN32v49+f15lVZRwUcgWNwCnxwAZrgFrRAG2DwBJ7BK3hzcufFeXc+5qMrTrlzCP7A+fwBopiUyw=</latexit> <latexit sha1_base64="sfcetjriA53KVhP8LRkSGs9KNA=">AB+3icbVDLSsNAFJ34rPUV69LNYBFclUQEXbgouNCVLAPaEOYTCft0HmEmYlYQn7FjQtF3Poj7vwbJ20W2npg4HDOvdwzJ0oY1cbzvp2V1bX1jc3KVnV7Z3dv3z2odbRMFSZtLJlUvQhpwqgbUMNI71EcQjRrR5Lrwu49EaSrFg5kmJOBoJGhMTJWCt3agCMzVjy7ucvDEtF8tCtew1vBrhM/JLUQYlW6H4NhKnAiDGdK673uJCTKkDMWM5NVBqkmC8ASNSN9SgTjRQTbLnsMTqwxhLJV9wsCZ+nsjQ1zrKY/sZJFUL3qF+J/XT018GWRUJKkhAs8PxSmDRsKiCDikimDpYgrKjNCvEYKYSNratqS/AXv7xMOmcN32v49+f15lVZRwUcgWNwCnxwAZrgFrRAG2DwBJ7BK3hzcufFeXc+5qMrTrlzCP7A+fwBopiUyw=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="vj48jMQe2f5rU6zb6RZp+K9y4=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9t1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvamNaA=</latexit> <latexit sha1_base64="YNShseMoKm2HdChKvcjMRmoBu5o=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9r1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvy2NaQ=</latexit> <latexit sha1_base64="YNShseMoKm2HdChKvcjMRmoBu5o=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9r1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvy2NaQ=</latexit> <latexit sha1_base64="YNShseMoKm2HdChKvcjMRmoBu5o=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9r1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvy2NaQ=</latexit> <latexit sha1_base64="YNShseMoKm2HdChKvcjMRmoBu5o=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiIVFwELiOYDkiPsbfaSJXt7x+6cEI78BsLRWz9RXb+GzfJFZr4YODx3gwz84JECoOu+0U1tY3NreK26Wd3b39g/LhUcvEqWa8yWIZ605ADZdC8SYKlLyTaE6jQPJ2ML6Z+e0nro2I1SNOEu5HdKhEKBhFKz3c9r1+ueJW3TnIKvFyUoEcjX75qzeIWRpxhUxSY7qem6CfUY2CST4t9VLDE8rGdMi7lioaceNn81On5MwqAxLG2pZCMld/T2Q0MmYSBbYzojgy95M/M/rphe+ZlQSYpcscWiMJUEYzL7mwyE5gzlxBLKtLC3EjaimjK06ZRsCN7y6ukdVH13Kp3f1mpX+dxFOETuEcPKhBHe6gAU1gMIRneIU3RzovzrvzsWgtOPnMfyB8/kDvy2NaQ=</latexit> <latexit sha1_base64="1uUQuLnXmq2FrQq5fvsHBbzm7v8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoAsXBRe6USrYB7RDyaSZNjTJjEmUIZ+hxsXirj1Y9z5N2baWjrgcDhnHu5JyeIOdPGdb+dwsrq2vpGcbO0tb2zu1feP2jqKFGENkjEI9UOsKacSdowzHDajhXFIuC0FYyuM781pkqzSD6aSUx9gQeShYxgYyW/K7AZKpHe3E97d71yxa26M6Bl4uWkAjnqvfJXtx+RFBpCMdadzw3Nn6KlWGE02mpm2gaYzLCA9qxVGJBtZ/OQk/RiVX6KIyUfdKgmfp7I8VC64kI7GQWUi96mfif10lMeOmnTMaJoZLMD4UJRyZCWQOozxQlhk8swUQxmxWRIVaYGNtTyZbgLX5mTPqp5b9R7OK7WrvI4iHMExnIHF1CDW6hDAwg8wTO8wpszdl6cd+djPlpw8p1D+APn8wfLTZIU</latexit> <latexit sha1_base64="1uUQuLnXmq2FrQq5fvsHBbzm7v8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoAsXBRe6USrYB7RDyaSZNjTJjEmUIZ+hxsXirj1Y9z5N2baWjrgcDhnHu5JyeIOdPGdb+dwsrq2vpGcbO0tb2zu1feP2jqKFGENkjEI9UOsKacSdowzHDajhXFIuC0FYyuM781pkqzSD6aSUx9gQeShYxgYyW/K7AZKpHe3E97d71yxa26M6Bl4uWkAjnqvfJXtx+RFBpCMdadzw3Nn6KlWGE02mpm2gaYzLCA9qxVGJBtZ/OQk/RiVX6KIyUfdKgmfp7I8VC64kI7GQWUi96mfif10lMeOmnTMaJoZLMD4UJRyZCWQOozxQlhk8swUQxmxWRIVaYGNtTyZbgLX5mTPqp5b9R7OK7WrvI4iHMExnIHF1CDW6hDAwg8wTO8wpszdl6cd+djPlpw8p1D+APn8wfLTZIU</latexit> <latexit sha1_base64="1uUQuLnXmq2FrQq5fvsHBbzm7v8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoAsXBRe6USrYB7RDyaSZNjTJjEmUIZ+hxsXirj1Y9z5N2baWjrgcDhnHu5JyeIOdPGdb+dwsrq2vpGcbO0tb2zu1feP2jqKFGENkjEI9UOsKacSdowzHDajhXFIuC0FYyuM781pkqzSD6aSUx9gQeShYxgYyW/K7AZKpHe3E97d71yxa26M6Bl4uWkAjnqvfJXtx+RFBpCMdadzw3Nn6KlWGE02mpm2gaYzLCA9qxVGJBtZ/OQk/RiVX6KIyUfdKgmfp7I8VC64kI7GQWUi96mfif10lMeOmnTMaJoZLMD4UJRyZCWQOozxQlhk8swUQxmxWRIVaYGNtTyZbgLX5mTPqp5b9R7OK7WrvI4iHMExnIHF1CDW6hDAwg8wTO8wpszdl6cd+djPlpw8p1D+APn8wfLTZIU</latexit> <latexit sha1_base64="1uUQuLnXmq2FrQq5fvsHBbzm7v8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIoAsXBRe6USrYB7RDyaSZNjTJjEmUIZ+hxsXirj1Y9z5N2baWjrgcDhnHu5JyeIOdPGdb+dwsrq2vpGcbO0tb2zu1feP2jqKFGENkjEI9UOsKacSdowzHDajhXFIuC0FYyuM781pkqzSD6aSUx9gQeShYxgYyW/K7AZKpHe3E97d71yxa26M6Bl4uWkAjnqvfJXtx+RFBpCMdadzw3Nn6KlWGE02mpm2gaYzLCA9qxVGJBtZ/OQk/RiVX6KIyUfdKgmfp7I8VC64kI7GQWUi96mfif10lMeOmnTMaJoZLMD4UJRyZCWQOozxQlhk8swUQxmxWRIVaYGNtTyZbgLX5mTPqp5b9R7OK7WrvI4iHMExnIHF1CDW6hDAwg8wTO8wpszdl6cd+djPlpw8p1D+APn8wfLTZIU</latexit> <latexit sha1_base64="Gj7yv98SlyD93Ghofp+NnyXvd2c=">AB7HicbVBNS8NAFHypX7V+VT16WSyCp5KIUA8eCl48VjBtoQ1ls920SzebsPsilNDf4MWDIl79Qd78N27bHLR1YGYecO+N2EqhUHX/XZKG5tb2zvl3cre/sHhUfX4pG2STDPus0QmuhtSw6VQ3EeBkndTzWkcSt4J3dzv/PEtRGJesRpyoOYjpSIBKNoJb8/TNAMqjW37i5A1olXkBoUaA2qXzbHspgrZJIa0/PcFIOcahRM8lmlnxmeUjahI96zVNGYmyBfLDsjF1YZkijR9ikC/V3IqexMdM4tJMxbFZ9ebif14vw+gmyIVKM+SKLT+KMkwIfPLyVBozlBOLaFMC7srYWOqKUPbT8W4K2evE7aV3XPrXsP17XmbVFHGc7gHC7BgwY04R5a4AMDAc/wCm+Ocl6cd+djOVpyiswp/IHz+QPvmo68</latexit> <latexit sha1_base64="Gj7yv98SlyD93Ghofp+NnyXvd2c=">AB7HicbVBNS8NAFHypX7V+VT16WSyCp5KIUA8eCl48VjBtoQ1ls920SzebsPsilNDf4MWDIl79Qd78N27bHLR1YGYecO+N2EqhUHX/XZKG5tb2zvl3cre/sHhUfX4pG2STDPus0QmuhtSw6VQ3EeBkndTzWkcSt4J3dzv/PEtRGJesRpyoOYjpSIBKNoJb8/TNAMqjW37i5A1olXkBoUaA2qXzbHspgrZJIa0/PcFIOcahRM8lmlnxmeUjahI96zVNGYmyBfLDsjF1YZkijR9ikC/V3IqexMdM4tJMxbFZ9ebif14vw+gmyIVKM+SKLT+KMkwIfPLyVBozlBOLaFMC7srYWOqKUPbT8W4K2evE7aV3XPrXsP17XmbVFHGc7gHC7BgwY04R5a4AMDAc/wCm+Ocl6cd+djOVpyiswp/IHz+QPvmo68</latexit> <latexit sha1_base64="Gj7yv98SlyD93Ghofp+NnyXvd2c=">AB7HicbVBNS8NAFHypX7V+VT16WSyCp5KIUA8eCl48VjBtoQ1ls920SzebsPsilNDf4MWDIl79Qd78N27bHLR1YGYecO+N2EqhUHX/XZKG5tb2zvl3cre/sHhUfX4pG2STDPus0QmuhtSw6VQ3EeBkndTzWkcSt4J3dzv/PEtRGJesRpyoOYjpSIBKNoJb8/TNAMqjW37i5A1olXkBoUaA2qXzbHspgrZJIa0/PcFIOcahRM8lmlnxmeUjahI96zVNGYmyBfLDsjF1YZkijR9ikC/V3IqexMdM4tJMxbFZ9ebif14vw+gmyIVKM+SKLT+KMkwIfPLyVBozlBOLaFMC7srYWOqKUPbT8W4K2evE7aV3XPrXsP17XmbVFHGc7gHC7BgwY04R5a4AMDAc/wCm+Ocl6cd+djOVpyiswp/IHz+QPvmo68</latexit> <latexit sha1_base64="Gj7yv98SlyD93Ghofp+NnyXvd2c=">AB7HicbVBNS8NAFHypX7V+VT16WSyCp5KIUA8eCl48VjBtoQ1ls920SzebsPsilNDf4MWDIl79Qd78N27bHLR1YGYecO+N2EqhUHX/XZKG5tb2zvl3cre/sHhUfX4pG2STDPus0QmuhtSw6VQ3EeBkndTzWkcSt4J3dzv/PEtRGJesRpyoOYjpSIBKNoJb8/TNAMqjW37i5A1olXkBoUaA2qXzbHspgrZJIa0/PcFIOcahRM8lmlnxmeUjahI96zVNGYmyBfLDsjF1YZkijR9ikC/V3IqexMdM4tJMxbFZ9ebif14vw+gmyIVKM+SKLT+KMkwIfPLyVBozlBOLaFMC7srYWOqKUPbT8W4K2evE7aV3XPrXsP17XmbVFHGc7gHC7BgwY04R5a4AMDAc/wCm+Ocl6cd+djOVpyiswp/IHz+QPvmo68</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="vjTCpRgsPEJfhljVzwQb7AFhV5c=">AB6nicbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0MIiYKGNENF8QHKEvc1csmRv79jdE8KRn2BjoYitv8jOf+MmuUITHw83pthZl6QCK6N6347hZXVtfWN4mZpa3tnd6+8f9DUcaoYNlgsYtUOqEbBJTYMNwLbiUIaBQJbweh6reUGkey0czTtCP6EDykDNqrPRw07vrlStu1Z2BLBMvJxXIUe+Vv7r9mKURSsME1brjuYnxM6oMZwInpW6qMaFsRAfYsVTSCLWfzU6dkBOr9EkYK1vSkJn6eyKjkdbjKLCdETVDvehNxf+8TmrCSz/jMkNSjZfFKaCmJhM/yZ9rpAZMbaEMsXtrYQNqaLM2HRKNgRv8eVl0jyrem7Vuz+v1K7yOIpwBMdwCh5cQA1uoQ4NYDCAZ3iFN0c4L8678zFvLTj5zCH8gfP5A+mdjYU=</latexit> <latexit sha1_base64="oAmr7/S238q10w2wEvXkfEGmAr8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIUBcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72d9r1+uFV3DrRKvJxUIEejX/7qDSKSCoN4VjrufGxk+xMoxwOiv1Ek1jTMZ4SLuWSiyo9tN56Bk6s8oAhZGyTxo0V39vpFhoPRWBncxC6mUvE/zuokJr/yUyTgxVJLFoTDhyEQoawANmKLE8KklmChmsyIywgoTY3sq2RK85S+vktZF1XOr3sNlpX6d1GEziFc/CgBnW4gwY0gcATPMrvDkT58V5dz4WowUn3zmGP3A+fwCg3ZH4</latexit> <latexit sha1_base64="oAmr7/S238q10w2wEvXkfEGmAr8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIUBcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72d9r1+uFV3DrRKvJxUIEejX/7qDSKSCoN4VjrufGxk+xMoxwOiv1Ek1jTMZ4SLuWSiyo9tN56Bk6s8oAhZGyTxo0V39vpFhoPRWBncxC6mUvE/zuokJr/yUyTgxVJLFoTDhyEQoawANmKLE8KklmChmsyIywgoTY3sq2RK85S+vktZF1XOr3sNlpX6d1GEziFc/CgBnW4gwY0gcATPMrvDkT58V5dz4WowUn3zmGP3A+fwCg3ZH4</latexit> <latexit sha1_base64="oAmr7/S238q10w2wEvXkfEGmAr8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIUBcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72d9r1+uFV3DrRKvJxUIEejX/7qDSKSCoN4VjrufGxk+xMoxwOiv1Ek1jTMZ4SLuWSiyo9tN56Bk6s8oAhZGyTxo0V39vpFhoPRWBncxC6mUvE/zuokJr/yUyTgxVJLFoTDhyEQoawANmKLE8KklmChmsyIywgoTY3sq2RK85S+vktZF1XOr3sNlpX6d1GEziFc/CgBnW4gwY0gcATPMrvDkT58V5dz4WowUn3zmGP3A+fwCg3ZH4</latexit> <latexit sha1_base64="oAmr7/S238q10w2wEvXkfEGmAr8=">AB9HicbVDLSgMxFL1TX7W+qi7dBIvgqsyIUBcuCi50JRXsA9qhZNJMG5pkxiRTKEO/w40LRdz6Me78GzPtLT1QOBwzr3ckxPEnGnjut9OYW19Y3OruF3a2d3bPygfHrV0lChCmyTikeoEWFPOJG0aZjtxIpiEXDaDsY3md+eUKVZJB/NKa+wEPJQkawsZLfE9iMlEhv72d9r1+uFV3DrRKvJxUIEejX/7qDSKSCoN4VjrufGxk+xMoxwOiv1Ek1jTMZ4SLuWSiyo9tN56Bk6s8oAhZGyTxo0V39vpFhoPRWBncxC6mUvE/zuokJr/yUyTgxVJLFoTDhyEQoawANmKLE8KklmChmsyIywgoTY3sq2RK85S+vktZF1XOr3sNlpX6d1GEziFc/CgBnW4gwY0gcATPMrvDkT58V5dz4WowUn3zmGP3A+fwCg3ZH4</latexit> Learning a Policy Over the Edges of a Graph G 1 G 0 GN 1 GN 2 GN M G M ... G 0 GN core G M × M Jessica Hamrick (@jhamrick) 34

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend

DENSER: Deep Evolutionary Network Structured Representation Filipe Assuno, Nuno Loureno,

DENSER: Deep Evolutionary Network Structured Representation Filipe Assuno, Nuno Loureno,

HUMIES @ GECCO 2018 1 DENSER: Deep Evolutionary Network Structured Representation Filipe Assuno, Nuno Loureno, Penousal Machado and Bernardete Ribeiro University of Coimbra, Coimbra, Portugal {fga, naml, machado, bribeiro}@dei.uc.pt

691 views • 19 slides
Toward Automated Pattern Discovery: Deep Representation Learning with Spatial-Temporal-Networked

Toward Automated Pattern Discovery: Deep Representation Learning with Spatial-Temporal-Networked

Toward Automated Pattern Discovery: Deep Representation Learning with Spatial-Temporal-Networked Data Collective, Dynamic, and Structured Analysis Yanjie Fu Outline 5 Background and Motivation Collective Representation Learning

788 views • 65 slides
BIL 722: Advanced Topics in Computer Vision Mehmet Kerim Y cel Deep Structured Models For

BIL 722: Advanced Topics in Computer Vision Mehmet Kerim Y cel Deep Structured Models For

BIL 722: Advanced Topics in Computer Vision Mehmet Kerim Y cel Deep Structured Models For Group Activity Recognition Deng et al. BMVC 2015 Simon Fraser University, SPORTLOGIQ , Canada Overview 25 April 2016 Deep Structured Models For

701 views • 40 slides
Learning Deep Structured Models for Semantic Segmentation Guosheng Lin Semantic Segmentation

Learning Deep Structured Models for Semantic Segmentation Guosheng Lin Semantic Segmentation

Learning Deep Structured Models for Semantic Segmentation Guosheng Lin Semantic Segmentation Outline Exploring Context with Deep Structured Models Guosheng Lin, Chunhua Shen, Ian Reid, Anton van dan Hengel; Efficient Piecewise Training

992 views • 45 slides
Information, Computation, and Communication Representation of Information 1 ICC Module

Information, Computation, and Communication Representation of Information 1 ICC Module

ICC Module Computation Information Representation Information, Computation, and Communication Representation of Information 1 ICC Module Computation Information Representation Computation works with information Scientific Google

823 views • 28 slides
Structured Probabilistic Models for Deep Learning Lecture slides for Chapter 16 of Deep Learning

Structured Probabilistic Models for Deep Learning Lecture slides for Chapter 16 of Deep Learning

Structured Probabilistic Models for Deep Learning Lecture slides for Chapter 16 of Deep Learning www.deeplearningbook.org Ian Goodfellow 2016-10-04 Roadmap Challenges of Unstructured Modeling Using Graphs to Describe Model Structure

974 views • 34 slides
A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE

A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE

A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE A STRUCTURED L IFE by Kirk Gittings Note: Kirk Gittings has been photographing the prehistor- coast, but m aking a real living as an art photographer ic,

1.16k views • 8 slides
Lecture 5: Data Representation 1 / 43 Data Representation Discussion Deep learning job postings

Lecture 5: Data Representation 1 / 43 Data Representation Discussion Deep learning job postings

Data Representation Lecture 5: Data Representation 1 / 43 Data Representation Discussion Deep learning job postings have collapsed in past 6 months Something Ive learned: when non-engineers ask for an AI or ML implementation, they almost

618 views • 43 slides
Numerical Computation for Deep Learning Lecture slides for Chapter 4 of Deep Learning

Numerical Computation for Deep Learning Lecture slides for Chapter 4 of Deep Learning

Numerical Computation for Deep Learning Lecture slides for Chapter 4 of Deep Learning www.deeplearningbook.org Ian Goodfellow Last modified 2017-10-14 Thanks to Justin Gilmer and Jacob Buckman for helpful discussions Numerical concerns for

511 views • 39 slides
3D ShapeNets: A Deep Representation for Volumetric Shape Modeling by Wu, Song, Khosla, Yu,

3D ShapeNets: A Deep Representation for Volumetric Shape Modeling by Wu, Song, Khosla, Yu,

3D ShapeNets: A Deep Representation for Volumetric Shape Modeling by Wu, Song, Khosla, Yu, Zhang, Tang, Xiao presented by Abhishek Sinha 1 3D Shape Prior 2 Slide Credit: Wu, Song et al. 3D ShapeNets: A Deep Representation for Volumetric

1.32k views • 112 slides
Neural Map Structured Memory for Deep RL Emilio Parisotto eparisot@andrew.cmu.edu PhD Student

Neural Map Structured Memory for Deep RL Emilio Parisotto eparisot@andrew.cmu.edu PhD Student

Neural Map Structured Memory for Deep RL Emilio Parisotto eparisot@andrew.cmu.edu PhD Student Machine Learning Department Carnegie Mellon University Supervised Learning Deep Most deep learning problems are posed as supervised Neural

562 views • 53 slides
Meaning Representation and Semantic Analysis Ling 571 Deep Processing Techniques for NLP

Meaning Representation and Semantic Analysis Ling 571 Deep Processing Techniques for NLP

Meaning Representation and Semantic Analysis Ling 571 Deep Processing Techniques for NLP February 9, 2011 Roadmap Meaning representation: Event representations Temporal representation Semantic Analysis

626 views • 52 slides
Structured matrices in the computation of band spectra of photonic crystals Pietro Contu,

Structured matrices in the computation of band spectra of photonic crystals Pietro Contu,

Due giorni di Algebra Lineare Numerica Structured matrices in the computation of band spectra of photonic crystals Pietro Contu, Cornelis van der Mee, and Sebastiano Seatzu Universit` a degli Studi di Cagliari 17 Febbraio 2012 Outline 1

560 views • 52 slides
Caffeine: Towards Uniformed Representation Introduction and Acceleration for Deep Convolutional

Caffeine: Towards Uniformed Representation Introduction and Acceleration for Deep Convolutional

FPGA C.Zhang et al. Caffeine: Towards Uniformed Representation Introduction and Acceleration for Deep Convolutional Motivation Neural Networks Uniformed CNN Representation Caffeine Design Chen Zhang, Zhenman Fang, Peipei Zhou et al.

445 views • 31 slides
Structured matrix methods for the computation of multiple roots of univariate polynomials John D.

Structured matrix methods for the computation of multiple roots of univariate polynomials John D.

Structured matrix methods for the computation of multiple roots of univariate polynomials John D. Allan and Joab R. Winkler Department of Computer Science The University of Sheffield, United Kingdom Overview

537 views • 27 slides
XML Extensible Markup Language Generic format for structured representation of data. DD1335

XML Extensible Markup Language Generic format for structured representation of data. DD1335

XML XML Extensible Markup Language Generic format for structured representation of data. DD1335 (Lecture 9) Basic Internet Programming Spring 2010 1 / 34 XML XML Extensible Markup Language Generic format for structured

1.29k views • 117 slides
Cell Decomposition Methods free space s obstacle free path obstacle g obstacle Slides

Cell Decomposition Methods free space s obstacle free path obstacle g obstacle Slides

Cell Decomposition Methods free space s obstacle free path obstacle g obstacle Slides borrowed from: Latombes book and slides, Choset, Kuffner Problem Given: a point-robot (robot is a point in space) a start and goal

947 views • 20 slides
(R)NN-based Language Models Lecture 12 CS 753 Instructor: Preethi Jyothi Word representations

(R)NN-based Language Models Lecture 12 CS 753 Instructor: Preethi Jyothi Word representations

(R)NN-based Language Models Lecture 12 CS 753 Instructor: Preethi Jyothi Word representations in Ngram models In standard Ngram models, words are represented in the discrete space involving the vocabulary Limits the possibility of truly

813 views • 32 slides
Statistical Geometry Processing Winter Semester 2011/2012 Representations of Geometry Motivation

Statistical Geometry Processing Winter Semester 2011/2012 Representations of Geometry Motivation

Statistical Geometry Processing Winter Semester 2011/2012 Representations of Geometry Motivation Geometric Modeling What do we want to do? empty space d (typically 3 ) B geometric object B 3 3 Fundamental Problem The

1.25k views • 84 slides
A PROPOSAL FOR THE CFT DUAL OF ADS3 AT THE STRING SCALE BASED ON arxiv:1803.04420 [hep-th] AND

A PROPOSAL FOR THE CFT DUAL OF ADS3 AT THE STRING SCALE BASED ON arxiv:1803.04420 [hep-th] AND

A PROPOSAL FOR THE CFT DUAL OF ADS3 AT THE STRING SCALE BASED ON arxiv:1803.04420 [hep-th] AND arxiv:xxxx.xxxxx [hep.th] IN COLLABORATION WITH G. GIRIBET, C. HULL, M. KLEBAN AND E. RABINOVICI REVIEW OF THE PERTURBATIVE ADS3 STRING

484 views • 27 slides
Inducing Irreducible Representations Dana P. Williams Dartmouth College SFB-Workshop on Groups,

Inducing Irreducible Representations Dana P. Williams Dartmouth College SFB-Workshop on Groups,

Inducing Irreducible Representations Dana P. Williams Dartmouth College SFB-Workshop on Groups, Dynamical Systems and C*-Algebras 23 August 2013 Dana P. Williams Inducing Irreducible Representations Rieffel Induction 1 Let X be a right

417 views • 23 slides
Port-based teleportation and asymptotic representation theory Christian Majenz Based on joint

Port-based teleportation and asymptotic representation theory Christian Majenz Based on joint

Port-based teleportation and asymptotic representation theory Christian Majenz Based on joint work with Matthias Christandl, Felix Leditzky, Graeme Smith, Florian Speelman and Michael Walter 20.01.2020 Korteweg-de Vries Institute for

802 views • 63 slides
Part-Time w/PBLA: Downtown: 397 Carlton St. &amp; 406 Edmonton St. River Heights: 465 Stafford St.

Part-Time w/PBLA: Downtown: 397 Carlton St. &amp; 406 Edmonton St. River Heights: 465 Stafford St.

2017-05-22 Mosaics Part-Time, Multilevel Classes in Winnipeg: Part-Time w/PBLA: Downtown: 397 Carlton St. &amp; 406 Edmonton St. River Heights: 465 Stafford St. Shifting into a Higher Gear Fort Garry: 1771 Pembina Hwy . Fort Richmond: 828

299 views • 4 slides
Title IV, Part A LEA Needs Assessment Tool: Live Demonstration Webinar Thursday, April 9, 2020

Title IV, Part A LEA Needs Assessment Tool: Live Demonstration Webinar Thursday, April 9, 2020

Title IV, Part A LEA Needs Assessment Tool: Live Demonstration Webinar Thursday, April 9, 2020 2:00 p.m. to 3:30 p.m. Housekeeping Mute/Unmute Chat Box Polls Full Screen Downloads 2 Introduction Paul Kesner Director Office of Safe and

678 views • 28 slides

More recommend