From 7c208841a7b7e01a6e4eefc666eeefb2fe078ba2 Mon Sep 17 00:00:00 2001 From: fherrmann9 Date: Wed, 10 Jun 2026 18:29:42 -0400 Subject: [PATCH 1/4] Add ImageGather.jl as a second RAG corpus Clone slimgroup/ImageGather.jl@ext_PhyParams into src/judiagent/rag/imagegather/ and wire it through the existing source-agnostic RAG plumbing: a new RAG_CATALOG entry (docs + examples), a search_imagegather_examples retrieval tool, and tool list updates for both the iterative and ReAct agents. search_codebase now greps both judi/ and imagegather/. The ImageGather example scripts get JUDI-style `# # Heading` markers so the Julia example chunker yields ~19 well-titled chunks instead of three whole-file blobs. Provenance for the new corpus is recorded in src/judiagent/rag/THIRD_PARTY.md; the CHANGELOG captures the operator step of clearing per-source caches before the next agent run. Co-Authored-By: Claude Opus 4.7 (1M context) --- CHANGELOG.md | 48 + src/judiagent/agents/agent.py | 2 + src/judiagent/agents/autonomous_agent.py | 2 + src/judiagent/prompting/shared.py | 3 +- src/judiagent/rag/THIRD_PARTY.md | 29 +- src/judiagent/rag/catalog.py | 35 + .../.github/workflows/CompatHelper.yml | 16 + .../imagegather/.github/workflows/TagBot.yml | 15 + .../imagegather/.github/workflows/docs.yml | 33 + .../.github/workflows/runtests.yml | 42 + src/judiagent/rag/imagegather/LICENSE | 21 + src/judiagent/rag/imagegather/Project.toml | 18 + src/judiagent/rag/imagegather/README.md | 38 + .../rag/imagegather/docs/Project.toml | 4 + .../rag/imagegather/docs/cig-refs.bib | 27 + .../rag/imagegather/docs/img/cig_cdp.png | Bin 0 -> 340165 bytes .../rag/imagegather/docs/img/cig_line.png | Bin 0 -> 852112 bytes src/judiagent/rag/imagegather/docs/make.jl | 11 + .../rag/imagegather/docs/src/index.md | 33 + .../rag/imagegather/examples/layers_cig.jl | 124 ++ .../rag/imagegather/examples/layers_sscig.jl | 84 ++ .../notebooks/CIG_Working_Example.ipynb | 1331 +++++++++++++++++ .../rag/imagegather/examples/offset_map.jl | 100 ++ .../rag/imagegather/src/ImageGather.jl | 23 + .../rag/imagegather/src/implementation.py | 160 ++ .../rag/imagegather/src/subsurface_gather.jl | 170 +++ .../rag/imagegather/src/surface_gather.jl | 99 ++ src/judiagent/rag/imagegather/src/utils.jl | 100 ++ .../rag/imagegather/test/runtests.jl | 79 + src/judiagent/tools/__init__.py | 2 + src/judiagent/tools/retrieve.py | 22 +- 31 files changed, 2664 insertions(+), 7 deletions(-) create mode 100644 CHANGELOG.md create mode 100644 src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml create mode 100644 src/judiagent/rag/imagegather/.github/workflows/TagBot.yml create mode 100644 src/judiagent/rag/imagegather/.github/workflows/docs.yml create mode 100644 src/judiagent/rag/imagegather/.github/workflows/runtests.yml create mode 100644 src/judiagent/rag/imagegather/LICENSE create mode 100644 src/judiagent/rag/imagegather/Project.toml create mode 100644 src/judiagent/rag/imagegather/README.md create mode 100644 src/judiagent/rag/imagegather/docs/Project.toml create mode 100644 src/judiagent/rag/imagegather/docs/cig-refs.bib create mode 100644 src/judiagent/rag/imagegather/docs/img/cig_cdp.png create mode 100644 src/judiagent/rag/imagegather/docs/img/cig_line.png create mode 100644 src/judiagent/rag/imagegather/docs/make.jl create mode 100644 src/judiagent/rag/imagegather/docs/src/index.md create mode 100644 src/judiagent/rag/imagegather/examples/layers_cig.jl create mode 100644 src/judiagent/rag/imagegather/examples/layers_sscig.jl create mode 100644 src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb create mode 100644 src/judiagent/rag/imagegather/examples/offset_map.jl create mode 100644 src/judiagent/rag/imagegather/src/ImageGather.jl create mode 100644 src/judiagent/rag/imagegather/src/implementation.py create mode 100644 src/judiagent/rag/imagegather/src/subsurface_gather.jl create mode 100644 src/judiagent/rag/imagegather/src/surface_gather.jl create mode 100644 src/judiagent/rag/imagegather/src/utils.jl create mode 100644 src/judiagent/rag/imagegather/test/runtests.jl diff --git a/CHANGELOG.md b/CHANGELOG.md new file mode 100644 index 0000000..8ddcdb0 --- /dev/null +++ b/CHANGELOG.md @@ -0,0 +1,48 @@ +# Changelog + +## Unreleased + +### Added +- **ImageGather.jl as a second retrieval corpus.** The agent can now ground + generated Julia in ImageGather.jl alongside JUDI.jl. + - Cloned `slimgroup/ImageGather.jl@ext_PhyParams` into + `src/judiagent/rag/imagegather/` (`.git` stripped, upstream `LICENSE` + preserved at the corpus root). + - Registered `imagegather/docs` (markdown) and `imagegather/examples` + (Julia) in `RAG_CATALOG` (`src/judiagent/rag/catalog.py`), reusing the + existing markdown and Julia-example chunkers. + - New retrieval tool `search_imagegather_examples` + (`src/judiagent/tools/retrieve.py`) built via the shared + `_build_retrieval_tool` factory; wired into the iterative agent + (`src/judiagent/agents/agent.py`), the autonomous ReAct agent + (`src/judiagent/agents/autonomous_agent.py`), and the `tools` package + `__init__`. + - Updated `GATHER_INTELLIGENCE` in `src/judiagent/prompting/shared.py` to + tell the model when to pick `search_imagegather_examples` over + `search_judi_examples`. + +### Changed +- `search_codebase` (`src/judiagent/tools/retrieve.py`) now greps both + `rag/judi/` and `rag/imagegather/` in a single invocation. Tool description + updated to reflect the broader scope. +- `src/judiagent/rag/THIRD_PARTY.md` now documents the ImageGather corpus + alongside JUDI (repo, branch `ext_PhyParams`, MIT license, maintainer, + citation pointers). +- ImageGather example scripts (`examples/layers_cig.jl`, + `examples/layers_sscig.jl`, `examples/offset_map.jl`) annotated with + JUDI-style `# # Heading` section markers so the Julia example chunker + produces ~19 well-titled chunks instead of three whole-file blobs. Code + itself is unchanged; only top-level prose lines were inserted between + logical sections. + +### Operational notes +- After pulling this change, delete any stale per-source caches so the index + rebuilds with the new corpus on the next agent run: + ```bash + rm -f src/judiagent/rag/loaded_store/loaded_judi_*.pkl \ + src/judiagent/rag/loaded_store/loaded_imagegather_*.pkl + rm -rf src/judiagent/rag/retriever_store/retriever_judi_* \ + src/judiagent/rag/retriever_store/retriever_imagegather_* + ``` + Do not remove the `__init__.py` files in those directories — they are + package markers, not data. diff --git a/src/judiagent/agents/agent.py b/src/judiagent/agents/agent.py index b2454b1..003ed78 100644 --- a/src/judiagent/agents/agent.py +++ b/src/judiagent/agents/agent.py @@ -35,6 +35,7 @@ lookup_function_docs, read_from_file, search_codebase, + search_imagegather_examples, search_judi_examples, write_to_file, ) @@ -233,6 +234,7 @@ def _handle_validation_result( search_codebase, lookup_function_docs, search_judi_examples, + search_imagegather_examples, ], stream_output=True, ) diff --git a/src/judiagent/agents/autonomous_agent.py b/src/judiagent/agents/autonomous_agent.py index e45c8df..89208a5 100644 --- a/src/judiagent/agents/autonomous_agent.py +++ b/src/judiagent/agents/autonomous_agent.py @@ -33,6 +33,7 @@ lookup_function_docs, read_from_file, search_codebase, + search_imagegather_examples, search_judi_examples, write_to_file, ) @@ -169,6 +170,7 @@ def generate_response(self, state: AgentState, config: RunnableConfig) -> dict: search_codebase, lookup_function_docs, search_judi_examples, + search_imagegather_examples, ], stream_output=True, ) diff --git a/src/judiagent/prompting/shared.py b/src/judiagent/prompting/shared.py index 15d4cf5..acfb1d6 100644 --- a/src/judiagent/prompting/shared.py +++ b/src/judiagent/prompting/shared.py @@ -38,7 +38,8 @@ Always retrieve JUDI.jl examples before generating code. -- Use `search_judi_examples` first for JUDI workflows and API patterns. +- Use `search_judi_examples` for JUDI.jl workflows and API patterns. +- Use `search_imagegather_examples` for ImageGather.jl workflows (surface and subsurface common-image gathers, extended Born modeling, extended physical parameters). - Use `lookup_function_docs` for specific signatures and function behavior. - Use `search_codebase`, `list_files_in_directory`, and `read_from_file` to collect surrounding context. - If code fails, retrieve more context before trying another fix. diff --git a/src/judiagent/rag/THIRD_PARTY.md b/src/judiagent/rag/THIRD_PARTY.md index eb08544..0477a10 100644 --- a/src/judiagent/rag/THIRD_PARTY.md +++ b/src/judiagent/rag/THIRD_PARTY.md @@ -1,8 +1,9 @@ # Third-Party Retrieval Corpora -`src/judiagent/rag/judi/` is retrieval material, not original JUDIAgent agent -implementation code. It is included so the agent can ground generated Julia in -real JUDI.jl documentation and example workflows. +`src/judiagent/rag/judi/` and `src/judiagent/rag/imagegather/` are retrieval +material, not original JUDIAgent agent implementation code. They are included +so the agent can ground generated Julia in real upstream documentation and +example workflows. ## JUDI.jl Material @@ -20,6 +21,28 @@ Some examples contain additional author notes, publication references, and dataset instructions. Keep those notices with the files when redistributing or modifying the corpus. +## ImageGather.jl Material + +The ImageGather documentation and examples originate from the ImageGather.jl +project: + +- Repository: +- Branch: `ext_PhyParams` (extended physical parameters / extended Born + modeling for subsurface offset common-image gathers). +- License: MIT, copyright (c) 2020 SLIM group @ Georgia Institute of + Technology. The upstream MIT license text is included in + `src/judiagent/rag/imagegather/LICENSE`. +- Maintainer / citation contact: Mathias Louboutin + (). See `src/judiagent/rag/imagegather/README.md` + for the referenced method papers (Giboli et al., SEG 2012; Dafni & Symes, + GJI 2019) and the Zenodo DOI badge for software citation. + +The example scripts at `src/judiagent/rag/imagegather/examples/` reference +figures under `docs/img/` and a notebook under `examples/notebooks/` that are +kept alongside the corpus for context but are not themselves ingested by the +retriever (the `imagegather` catalog entries only index `.md` files in +`docs/src/` and `.jl` files in `examples/`). + ## Distribution Notes The Python package build excludes bulky notebook outputs and binary example data diff --git a/src/judiagent/rag/catalog.py b/src/judiagent/rag/catalog.py index d0b451c..008a419 100644 --- a/src/judiagent/rag/catalog.py +++ b/src/judiagent/rag/catalog.py @@ -59,4 +59,39 @@ class CorpusSpec: ), ), }, + "imagegather": { + "docs": CorpusSpec( + source_dir=str(PROJECT_ROOT / "rag" / "imagegather" / "docs" / "src"), + persist_dir=lambda embedding_family: str( + PROJECT_ROOT + / "rag" + / "retriever_store" + / f"retriever_imagegather_docs_{embedding_family}" + ), + cache_file=str( + PROJECT_ROOT / "rag" / "loaded_store" / "loaded_imagegather_docs.pkl" + ), + collection_name="imagegather_docs", + filetypes=("md",), + chunk_document=split_markdown_document, + ), + "examples": CorpusSpec( + source_dir=str(PROJECT_ROOT / "rag" / "imagegather" / "examples"), + persist_dir=lambda embedding_family: str( + PROJECT_ROOT + / "rag" + / "retriever_store" + / f"retriever_imagegather_examples_{embedding_family}" + ), + cache_file=str( + PROJECT_ROOT / "rag" / "loaded_store" / "loaded_imagegather_examples.pkl" + ), + collection_name="imagegather_examples", + filetypes=("jl",), + chunk_document=partial( + split_julia_example_document, + header_to_split_on=1, + ), + ), + }, } diff --git a/src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml b/src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml new file mode 100644 index 0000000..c4652ff --- /dev/null +++ b/src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml @@ -0,0 +1,16 @@ +name: CompatHelper + +on: + schedule: + - cron: '00 00 * * *' + workflow_dispatch: +jobs: + CompatHelper: + runs-on: ubuntu-latest + steps: + - name: Pkg.add("CompatHelper") + run: julia -e 'using Pkg; Pkg.add("CompatHelper")' + - name: CompatHelper.main() + env: + GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} + run: julia -e 'using CompatHelper; CompatHelper.main()' \ No newline at end of file diff --git a/src/judiagent/rag/imagegather/.github/workflows/TagBot.yml b/src/judiagent/rag/imagegather/.github/workflows/TagBot.yml new file mode 100644 index 0000000..f49313b --- /dev/null +++ b/src/judiagent/rag/imagegather/.github/workflows/TagBot.yml @@ -0,0 +1,15 @@ +name: TagBot +on: + issue_comment: + types: + - created + workflow_dispatch: +jobs: + TagBot: + if: github.event_name == 'workflow_dispatch' || github.actor == 'JuliaTagBot' + runs-on: ubuntu-latest + steps: + - uses: JuliaRegistries/TagBot@v1 + with: + token: ${{ secrets.GITHUB_TOKEN }} + ssh: ${{ secrets.DOCUMENTER_KEY }} diff --git a/src/judiagent/rag/imagegather/.github/workflows/docs.yml b/src/judiagent/rag/imagegather/.github/workflows/docs.yml new file mode 100644 index 0000000..4bcd58d --- /dev/null +++ b/src/judiagent/rag/imagegather/.github/workflows/docs.yml @@ -0,0 +1,33 @@ +name: Documentation + +on: + push: + branches: + - main + tags: '*' + +jobs: + build: + runs-on: ubuntu-latest + steps: + - uses: actions/checkout@v3 + + - uses: julia-actions/setup-julia@latest + + - name: Add SLIM registery + run: | + julia --color=yes --check-bounds=yes -e 'using Pkg;Pkg.update();Pkg.Registry.add(RegistrySpec(url="https://github.com/slimgroup/SLIMregistryJL.git"))' + + - name: Install dependencies + run: julia --project=docs/ -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate()' + + + - name: Install devito + run: | + python -m pip install --upgrade pip + pip install devito + + - name: Build and deploy + env: + GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} # For authentication with GitHub Actions token + run: julia --project=docs/ docs/make.jl diff --git a/src/judiagent/rag/imagegather/.github/workflows/runtests.yml b/src/judiagent/rag/imagegather/.github/workflows/runtests.yml new file mode 100644 index 0000000..9308880 --- /dev/null +++ b/src/judiagent/rag/imagegather/.github/workflows/runtests.yml @@ -0,0 +1,42 @@ +name: CI + +on: + push: + branches: + - main + pull_request: + branches: + - main + +jobs: + test: + name: Julia ${{ matrix.version }} - ${{ matrix.os }} + runs-on: ${{ matrix.os }} + env: + DEVITO_ARCH: gcc-9 + DEVITO_LANGUAGE: "openmp" + DEVITO_LOGGING: "ERROR" + OMP_NUM_THREADS: 1 + + strategy: + fail-fast: false + + matrix: + version: ['1.6', '1.7', '1.8', '1'] + os: [ubuntu-latest] + + steps: + - name: Checkout ImageGather.jl + uses: actions/checkout@v3 + + - name: Setup julia + uses: julia-actions/setup-julia@v1 + with: + version: ${{ matrix.version }} + + - name: Build ImageGather.jl + uses: julia-actions/julia-buildpkg@latest + + - name: Run tests + id: test + uses: julia-actions/julia-runtest@latest diff --git a/src/judiagent/rag/imagegather/LICENSE b/src/judiagent/rag/imagegather/LICENSE new file mode 100644 index 0000000..4d2731e --- /dev/null +++ b/src/judiagent/rag/imagegather/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2020 SLIM group @ Georgia Institute of Technology + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/src/judiagent/rag/imagegather/Project.toml b/src/judiagent/rag/imagegather/Project.toml new file mode 100644 index 0000000..a7dc60a --- /dev/null +++ b/src/judiagent/rag/imagegather/Project.toml @@ -0,0 +1,18 @@ +name = "ImageGather" +uuid = "355d8124-6b2e-49b5-aab5-cdbc0a5fccbe" +authors = ["mloubout "] +version = "0.2.6" + +[deps] +JUDI = "f3b833dc-6b2e-5b9c-b940-873ed6319979" +LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" + +[compat] +JUDI = "3.3.1" +julia = "1" + +[extras] +Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[targets] +test = ["Test"] diff --git a/src/judiagent/rag/imagegather/README.md b/src/judiagent/rag/imagegather/README.md new file mode 100644 index 0000000..5513640 --- /dev/null +++ b/src/judiagent/rag/imagegather/README.md @@ -0,0 +1,38 @@ + +[![](https://img.shields.io/badge/docs-stable-blue.svg)](https://slimgroup.github.io/ImageGather.jl/dev) +[![DOI](https://zenodo.org/badge/376881077.svg)](https://zenodo.org/badge/latestdoi/376881077) + +# ImageGather.jl + +This package implements image gather functions for seismic inversion and QC. We currently offer surface gathers via the double RTM method and subsurface offset image gather. The subsurface offset common image gather are implemented via the extended born modeling operator and its adjoint allowing for extended LSRTM. + +# Example + +A simple example of a surface image gather for a layered model can be found in `examples/layers_cig.jl`. This example produces the following image gathers: + +![Single CDP offset gather](./docs/img/cig_cdp.png) +: Offset gather for a good and bad background velocity model at a different position along X. + +This first plot shows the expected behavior with respect to the offset. We clearly see the flat events with a correct velocity while we obtain the predicted upwards and downwards parabolic events for a respectively low and high velocity at large offset. + +![Seismic line of offset gathers](./docs/img/cig_line.png) +: Stack of offset gather along the X direction showing the difference in flatness and alignment for a good and bad background velocity model. + +This second plot shows the stack along X of different gathers that shows the focusing onto the reflectors with a correct velocity while the high and low-velocity models produce unfocused and misplaced events. + + +# Contributions + +Contributions are welcome. + +# References + +This work is inspired by the original [double RTM](https://library.seg.org/doi/pdfplus/10.1190/segam2012-1007.1) paper for the surface gather and the [Extended Born]() paper for extended jacobian for subsurface gathers. + +- Matteo Giboli, Reda Baina, Laurence Nicoletis, and Bertrand Duquet, "Reverse Time Migration surface offset gathers part 1: a new method to produce ‘classical’ common image gathers", SEG Technical Program Expanded Abstracts 2012. +- Raanan Dafni, William W Symes, "Generalized reflection tomography formulation based on subsurface offset extended imaging", +Geophysical Journal International, Volume 216, Issue 2, February 2019, Pages 1025–1042, https://doi.org/10.1093/gji/ggy478 + +# Authors + +This package is developed and maintained by Mathias Louboutin diff --git a/src/judiagent/rag/imagegather/docs/Project.toml b/src/judiagent/rag/imagegather/docs/Project.toml new file mode 100644 index 0000000..7299ab9 --- /dev/null +++ b/src/judiagent/rag/imagegather/docs/Project.toml @@ -0,0 +1,4 @@ +[deps] +Bibliography = "f1be7e48-bf82-45af-a471-ae754a193061" +Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" +DocumenterCitations = "daee34ce-89f3-4625-b898-19384cb65244" diff --git a/src/judiagent/rag/imagegather/docs/cig-refs.bib b/src/judiagent/rag/imagegather/docs/cig-refs.bib new file mode 100644 index 0000000..a1aebc7 --- /dev/null +++ b/src/judiagent/rag/imagegather/docs/cig-refs.bib @@ -0,0 +1,27 @@ + +@book{Giboli, +author = {Matteo Giboli and Reda Baina and Laurence Nicoletis and Bertrand Duquet}, +title = {Reverse Time Migration surface offset gathers part 1: a new method to produce ‘classical’ common image gathers}, +booktitle = {SEG Technical Program Expanded Abstracts 2012}, +chapter = {}, +pages = {1-5}, +year = {2012}, +doi = {10.1190/segam2012-1007.1}, +URL = {https://library.seg.org/doi/abs/10.1190/segam2012-1007.1}, +eprint = {https://library.seg.org/doi/pdf/10.1190/segam2012-1007.1}, + abstract = { Common image gathers (CIGs) are classical tools for velocity analysis and for imaging enhancement procedures. Conventionally, this output is available after application of Kirchhoff-type migration algorithms to properly sorted cubes of seismic data (i.e. common-offset). In geologically complex areas, Kirchhoff migration has been replaced by wave-field extrapolation (WE) based depth migration algorithms, such as RTM and one-way WE migration, which produce superior quality images. However, computing the CIGs from WE migrations is not straightforward and still represents a challenge. In this paper we propose a new method to produce Surface Offset CIGs using a reverse time propagator. Note, however, that the proposed scheme does not depend on the particular implementation of WE method. Our intent is to benefit from a two-way wave-field propagation scheme which overcomes the limitation of the asymptotic assumption of ray-based methods, while sorting the output migrated cubes in the same way. As a consequence, we are able to produce CIGs in complex areas (sub-salt, complex overburden, etc.) somewhat closer to the ‘true’ offset gathers. Furthermore, we can replace ‘classical’ Kirchhoff offset gathers as input of most of the standard post-migration processing tools. Because of years of know-how in Kirchhoff type migrations, this method allows for an easier interpretation of migration’s results and, compared to the cost to obtain subsurface CIGs, less computational effort is required. Furthermore, these gathers are potentially suited for velocity model building. We provide the mathematical details of the method and we demonstrate its validity on synthetic examples. } +} + +@article{sscig, + author = {Dafni, Raanan and Symes, William W}, + title = "{Generalized reflection tomography formulation based on subsurface offset extended imaging}", + journal = {Geophysical Journal International}, + volume = {216}, + number = {2}, + pages = {1025-1042}, + year = {2018}, + month = {11}, + abstract = "{The subsurface offset is a possible link connecting wave-equation migration methods, such as reverse-time migration, with the angle-domain. However, it describes an artificial reflection geometry that splits the reflection point between incident and scattered waves. The split configuration contradicts basic principles of continuum mechanics, as it represents action-at-a-distance, and has kinematics distinct from those of ordinary physical reflection. The angle-domain image, computed as a Radon transform of the subsurface offset image, implicitly inherits the split configuration, which distinguishes it from conventional angle-domain decomposition. As a consequence, it shows a dissimilar moveout response to erroneous migration velocity, but still carries valuable information about the migration velocity error.Conventional linearized traveltime inversion techniques, applied for velocity optimization, are most likely to fail while inverting angle-domain images produced from subsurface offset split reflections. These images should be labelled differently to highlight the split mechanism, and input to traveltime inversion algorithms only after a proper generalization. We present a modified linearized traveltime inversion formulation, appropriate for split reflections in the image space. The key ingredient in the algorithm is a subsurface offset depended extension of the traveltime change along migrated split reflection rays. A generalized reflection tomography scheme is proposed accordingly to tie imaging errors, in either the subsurface offset domain or its equivalent angle-domain map, to the migration velocity error.}", + issn = {0956-540X}, + doi = {10.1093/gji/ggy478}, + url = {https://doi.org/10.1093/gji/ggy478}} \ No newline at end of file diff --git a/src/judiagent/rag/imagegather/docs/img/cig_cdp.png b/src/judiagent/rag/imagegather/docs/img/cig_cdp.png new file mode 100644 index 0000000000000000000000000000000000000000..bb1c600372daef55239b2024ade772f42426a5e6 GIT binary patch literal 340165 zcmce8cRZHw-}fb}*mB*_jcSt&Hb$ zbl=bYx}WE{|9)Pt?{9o_xz6)Ej?eM=yw_QXrn=H;;tRwW4CeF=W%*ke%<%;b=GfK= zLiiJ}ywQ00A5m9@+pgLUmadQQIa^?E-g9-db#S${xzFTg;p}4LU@ypXjYp7+$=cP` z(M61x*Y3YQz~kU-#oNPK^%=h8q@%Kd3kE}a5B&!(UpmhQgNMP~keAiLrYw6s#u~S7 zZP&bA(Y+JTWfadZbob*c{ZZHCembTvcbQIJ3b-(-bdu}=lj{k*V<$7^P6ep@VqS^M z@FhN={lPuFWbxKb|Lxy{%++u!C700$y0#NL?%Ts-Px2C6=2Apm+Fr4R9wVXRx?Oa) 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index 0000000..1c0d007 --- /dev/null +++ b/src/judiagent/rag/imagegather/docs/src/index.md @@ -0,0 +1,33 @@ +# ImageGather.jl documentation + +ImageGather.jl provides computational QC tools for wave-equation based inversion. Namely we provides two main widely used workflows: + +- Surface offset gathers (also called surface common image gather). Surface gather compute images of (RTMs) for different offset to verify the accuracy of the background velocity. The method we implement here is based on the double-rtm method [Giboli](@cite) that allows the computation of the gather with two RTMs only instead of one per offset (or offset bin). +- Subsurface offset gathers (also called subsurface common image gather) [sscig](@cite). + +## Surface offset gathers + +```@docs +surface_gather +double_rtm_cig +``` + +## Subsurface offset gathers + +```@docs +judiExtendedJacobian +``` + +## Utility functions + +```@autodocs +Modules = [ImageGather] +Pages = ["utils.jl"] +``` + +# References + +```@bibliography +``` + + diff --git a/src/judiagent/rag/imagegather/examples/layers_cig.jl b/src/judiagent/rag/imagegather/examples/layers_cig.jl new file mode 100644 index 0000000..51b347a --- /dev/null +++ b/src/judiagent/rag/imagegather/examples/layers_cig.jl @@ -0,0 +1,124 @@ +# # Surface offset common-image gathers on a layered model +# Author: Mathias Louboutin +# Date: June 2021 +# +# Form surface offset common-image gathers (CIGs) via the double-RTM method on a +# multilayer velocity model, and compare gathers obtained with a correct, a low, +# and a high background velocity. + +using JUDI, LinearAlgebra, Images, PyPlot, DSP, ImageGather, SlimPlotting + +# # Set up model structure +n = (601, 333) # (x,y,z) or (x,z) +d = (15., 15.) +o = (0., 0.) + +# Velocity [km/s] +v = ones(Float32,n) .+ 0.5f0 +for i=1:12 + v[:,25*i+1:end] .= 1.5f0 + i*.25f0 +end +v0 = imfilter(v, Kernel.gaussian(5)) +v0_low = .95f0 .* imfilter(v, Kernel.gaussian(45)) +v0_high = 1.05f0 .* imfilter(v, Kernel.gaussian(45)) + +# Slowness squared [s^2/km^2] +m = (1f0 ./ v).^2 +m0 = (1f0 ./ v0).^2 +m0_low = (1f0 ./ v0_low).^2 +m0_high = (1f0 ./ v0_high).^2 +dm = vec(m - m0) + +# Setup info and model structure +nsrc = 51 # number of sources +model = Model(n, d, o, m; nb=40) +model0 = Model(n, d, o, m0; nb=40) +model0_low = Model(n, d, o, m0_low; nb=40) +model0_high = Model(n, d, o, m0_high; nb=40) + +# # Acquisition geometry +# Set up receiver geometry +nxrec = 401 +xrec = range(0f0, stop=(n[1] -1)*d[1], length=nxrec) +yrec = 0f0 +zrec = range(20f0, stop=20f0, length=nxrec) + +# receiver sampling and recording time +timeR = 4000f0 # receiver recording time [ms] +dtR = 4f0 # receiver sampling interval [ms] + +# Set up receiver structure +recGeometry = Geometry(xrec, yrec, zrec; dt=dtR, t=timeR, nsrc=nsrc) +# Set up source geometry (cell array with source locations for each shot) +xsrc = convertToCell(range(0f0, stop=(n[1] -1)*d[1], length=nsrc)) +ysrc = convertToCell(range(0f0, stop=0f0, length=nsrc)) +zsrc = convertToCell(range(20f0, stop=20f0, length=nsrc)) + +# source sampling and number of time steps +timeS = 4000f0 # ms +dtS = 4f0 # ms + +# Set up source structure +srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtS, t=timeS) +# setup wavelet +f0 = 0.015f0 # kHz +wavelet = ricker_wavelet(timeS, dtS, f0) +q = judiVector(srcGeometry, wavelet) + +################################################################################################### +# # Forward modeling +opt = Options(space_order=16) +# Setup operators +F = judiModeling(model, srcGeometry, recGeometry; options=opt) +# Nonlinear modeling +dD = F*q + +# # Surface common-image gather computation +# Common surface offset image gather +offsets = 0f0:150f0:8000f0 +CIG = surface_gather(model0, q, dD; offsets=offsets, options=opt) +CIG_low = surface_gather(model0_low, q, dD; offsets=offsets, options=opt); +CIG_high = surface_gather(model0_high, q, dD; offsets=offsets, options=opt); + +# # Plot CIGs at two CDP locations +cc = 1e-1 +figure(figsize=(20, 10)) +subplot(231) +plot_simage(CIG[301, :, :], d; cmap="Greys", new_fig=false) +title("Good velocity (CDP=4.5km)") +subplot(232) +plot_simage(CIG_low[301, :, :], d; cmap="Greys", new_fig=false) +title("Low velocity (CDP=4.5km)") +subplot(233) +plot_simage(CIG_high[301, :, :], d; cmap="Greys", new_fig=false) +title("High velocity (CDP=4.5km)") + +subplot(234) +plot_simage(CIG[101, :, :], d; cmap="Greys", new_fig=false) +subplot(235) +plot_simage(CIG_low[101, :, :], d; cmap="Greys", new_fig=false) +subplot(236) +plot_simage(CIG_high[101, :, :], d; cmap="Greys", new_fig=false) +savefig("./docs/img/cig_cdp.png", bbox_inches="tight") + + +# # Plot stacked CIG line as a pseudo-RTM image +# Plot gathers as a pseudo rtm image +cig_rtm_good = hcat([CIG[i, :, 1:25] for i=1:20:n[1]]...) +cig_rtm_low = hcat([CIG_low[i, :, 1:25] for i=1:20:n[1]]...) +cig_rtm_high = hcat([CIG_high[i, :, 1:25] for i=1:20:n[1]]...) + +figure(figsize=(20, 10)) +subplot(131) +plot_simage(cig_rtm_good, d; cmap="Greys", new_fig=false) +xticks([]) +title("Good velocity") +subplot(132) +plot_simage(cig_rtm_low, d; cmap="Greys", new_fig=false) +xticks([]) +title("Low velocity") +subplot(133) +plot_simage(cig_rtm_high, d; cmap="Greys", new_fig=false) +xticks([]) +title("High velocity") +savefig("./docs/img/cig_line.png", bbox_inches="tight") diff --git a/src/judiagent/rag/imagegather/examples/layers_sscig.jl b/src/judiagent/rag/imagegather/examples/layers_sscig.jl new file mode 100644 index 0000000..dd495af --- /dev/null +++ b/src/judiagent/rag/imagegather/examples/layers_sscig.jl @@ -0,0 +1,84 @@ +# # Subsurface offset common-image gathers via the extended Born operator +# Author: Mathias Louboutin +# Date: June 2021 +# +# Build subsurface offset common-image gathers (SSCIGs) on a two-layer model +# using the extended Born modeling operator and its adjoint, and validate the +# implementation with a dot-product adjoint test. + +using JUDI, LinearAlgebra, Images, PyPlot, DSP, ImageGather, Printf + +# # Set up model structure +n = (301, 151) # (x,y,z) or (x,z) +d = (10., 10.) +o = (0., 0.) + +# Velocity [km/s] +v = 1.5f0 .* ones(Float32,n) +v[:, 76:end] .= 2.5f0 +v0 = imfilter(v, Kernel.gaussian(5)) +# Slowness squared [s^2/km^2] +m = (1f0 ./ v).^2 +m0 = (1f0 ./ v0).^2 + +# Setup info and model structure +nsrc = 1 # number of sources +model = Model(n, d, o, m; nb=40) +model0 = Model(n, d, o, m0; nb=40) + +dm = model.m - model0.m + +# # Acquisition geometry +# Set up receiver geometry +nxrec = 151 +xrec = range(0f0, stop=(n[1] -1)*d[1], length=nxrec) +yrec = 0f0 +zrec = range(20f0, stop=20f0, length=nxrec) + +# receiver sampling and recording time +timeD = 2000f0 # receiver recording time [ms] +dtD = 4f0 # receiver sampling interval [ms] + +# Set up receiver structure +recGeometry = Geometry(xrec, yrec, zrec; dt=dtD, t=timeD, nsrc=nsrc) +# Set up source geometry (cell array with source locations for each shot) +xsrc = 1500f0 +ysrc = 0f0 +zsrc = 20f0 + +# Set up source structure +srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtD, t=timeD) +# setup wavelet +f0 = 0.015f0 # kHz +wavelet = ricker_wavelet(timeD, dtD, f0) +q = diff(judiVector(srcGeometry, wavelet)) + +################################################################################################### +# # Linearized modeling and baseline RTM +opt = Options(space_order=4, isic=false, sum_padding=true) +# Setup operators +F = judiModeling(model, srcGeometry, recGeometry; options=opt) +J0 = judiJacobian(F(model0), q) +# Nonlinear modeling +dD = J0*dm +rtm = J0'*dD + +# # Extended Born Jacobian and subsurface offset CIG +# Common surface offset image gather +offsets = -40f0:model.d[1]:40f0 +# offsets = [0f0] +J = judiExtendedJacobian(F(model0), q, offsets) + +ssodm = J'*dD + +ssor = zeros(Float32, size(ssodm)...) +for h=1:size(ssor, 1) + ssor[h, :, :] .= dm.data +end + +# # Adjoint (dot-product) test for the extended Born operator +dDe = J*ssor +# @show norm(dDe - dD), norm(ssor[:] - dm[:]) +a, b = dot(dD, dDe), dot(ssodm[:], ssor[:]) +@printf(" : %2.5e, : %2.5e, rel-error : %2.5e, ratio : %2.5e \n", a, b, (a - b)/(a + b), a/b) + diff --git a/src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb b/src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb new file mode 100644 index 0000000..b2a0f99 --- /dev/null +++ b/src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb @@ -0,0 +1,1331 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 7, + "id": "bcc03572", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/Downloads/CIG_Practice`\n", + "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling JUDI [f3b833dc-6b2e-5b9c-b940-873ed6319979]\n", + "WARNING: using JUDI.nbl in module Main conflicts with an existing identifier.\n", + "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling PythonPlot [274fc56d-3b97-40fa-a1cd-1b4a50311bf9]\n", + "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling ImageGather [355d8124-6b2e-49b5-aab5-cdbc0a5fccbe]\n", + "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mJLD2 compat enabled\n" + ] + } + ], + "source": [ + "using Pkg\n", + "Pkg.activate(\"CIG_Practice\")\n", + "\n", + "# Pkg.add([\"ImageGather\", \"PythonPlot\", \"IterativeSolvers\", \"LinearAlgebra\", \"Statistics\", \"Random\"])\n", + "# Pkg.add(name=\"JUDI\", version=\"3.3.8\")\n", + "# Pkg.add(name=\"ImageGather\", version=\"0.2.6\")\n", + "\n", + "using JUDI\n", + "using PythonPlot\n", + "using PythonCall: pyconvert\n", + "using ImageGather\n", + "using Images\n", + "using LinearAlgebra\n", + "using IterativeSolvers\n", + "using Statistics\n", + "using Random" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "dad4a1d1-f4e2-425f-8ae4-8447b571dbad", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "JUDI Options : \n", + "\n", + "space_order : 8\n", + "free_surface : false\n", + "limit_m : false\n", + "buffer_size : 1000.0\n", + "save_data_to_disk : false\n", + "file_path : \n", + "file_name : shot\n", + "sum_padding : false\n", + "optimal_checkpointing : false\n", + "frequencies : Any[]\n", + "IC : as\n", + "subsampling_factor : 1\n", + "dft_subsampling_factor : 1\n", + "return_array : false\n", + "dt_comp : nothing\n", + "f0 : 0.015\n" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "## Acquisition set-up\n", + "startidx = 1\n", + "endidx = 1000\n", + "n_offsets = 51\n", + "offset_start = -300\n", + "offset_end = 300\n", + "\n", + "offsetrange = range(offset_start, stop=offset_end, length=n_offsets)\n", + "\n", + "f0 = 0.018f0\n", + "timeD = timeR = TD = 2000f0\n", + "dtD = 4f0\n", + "dtS = 4f0\n", + "nbl = 80\n", + "\n", + "wavelet = ricker_wavelet(TD, dtS, f0)\n", + "#wavelet = filter_data(wavelet, dtS; fmin=3f0, fmax=Inf)\n", + "\n", + "d = (12.5f0, 12.5f0)\n", + "o = (0f0, 0f0)\n", + "n = (256, 128)\n", + "\n", + "snr = 15f0\n", + "nsrc = 16\t# number of sources\n", + "nrec = n[1]\n", + "\n", + "# Set up receiver structure\n", + "xrec = range(0f0, stop=(n[1]-1)*d[1], length=nrec)\n", + "yrec = 0f0 # WE have to set the y coordiante to zero (or any number) for 2D modeling\n", + "zrec = range(d[1], stop=d[1], length=nrec)\n", + "\n", + "recGeometry = Geometry(xrec, yrec, zrec; dt=dtD, t=timeD, nsrc=nsrc)\n", + "\n", + "# Set up source structure\n", + "xsrc = convertToCell(range(0f0,stop=(n[1]-1)*d[1],length=nsrc))\n", + "ysrc = convertToCell(range(0f0, stop=0f0, length=nsrc))\n", + "zsrc = convertToCell(range(d[1], stop=d[1], length=nsrc))\n", + "\n", + "srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtD, t=timeD)\n", + "\n", + "q = judiVector(srcGeometry, wavelet)\n", + "opt = Options(isic=false)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2f963218-3b03-4145-8322-094f33f65ce7", + "metadata": {}, + "outputs": [], + "source": [ + "## Velocity model\n", + "vp = zeros(Float32, 256,128);\n", + "vp0 = zeros(Float32, 256,128);\n", + "rho = zeros(Float32, 256,128);\n", + "vp .= 2.0;\n", + "vp[:,65:66] .= 2.5;\n", + "vp0 .= 2.0;\n", + "#vp0 = 1f0./imfilter(1f0./vp, Kernel.gaussian(20))\n", + "\n", + "## density model\n", + "# rho[:,1:64] .= 2.0;\n", + "# rho[:,65:end] .= 2.0;\n", + "#rho0 = imfilter(rho, Kernel.gaussian(10))\n", + "# model_p = Model(n, d, o, (1f0./vp).^2f0; rho=rho, nb=nbl)\n", + "# model_p0 = Model(n, d, o, (1f0./vp0).^2f0; rho=rho0, nb=nbl)\n", + "model = Model(n, d, o, (1f0./vp).^2f0; nb=nbl)\n", + "model0 = Model(n, d, o, (1f0./vp0).^2f0; nb=nbl)\n", + "dm = model.m - model0.m;" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "37b344b4-5344-4b15-b8b8-795a4dc9091b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Figure()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "Python: None" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "imshow(dm.data', cmap=\"gray\", aspect=\"auto\",\n", + " extent=[0, n[1]*d[1], n[2]*d[2], 0])\n", + "colorbar(label=\"δm\")\n", + "xlabel(\"x (m)\")\n", + "ylabel(\"z (m)\")\n", + "title(\"Model perturbation: δm = m_true - m_bg\")\n", + "tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "cb177192-5bfd-4528-b8f9-d37d7e3d674f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mDeprecated model.n, use size(model)\n", + "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39m caller = ip:0x0\n", + "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Core :-1\u001b[39m\n", + "Building born operator\n", + "Operator `born` ran in 0.07 s\n", + "Operator `born` ran in 0.13 s\n", + "Operator `born` ran in 0.10 s\n", + "Operator `born` ran in 0.12 s\n", + "Operator `born` ran in 0.10 s\n", + "Operator `born` ran in 0.10 s\n", + "Operator `born` ran in 0.14 s\n", + "Operator `born` ran in 0.11 s\n", + "Operator `born` ran in 0.10 s\n", + "Operator `born` ran in 0.09 s\n", + "Operator `born` ran in 0.08 s\n", + "Operator `born` ran in 0.09 s\n", + "Operator `born` ran in 0.10 s\n", + "Operator `born` ran in 0.09 s\n", + "Operator `born` ran in 0.08 s\n", + "Operator `born` ran in 0.09 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 22.212305 seconds (22.95 M allocations: 1.245 GiB, 15.72% gc time, 34.51% compilation time: 1% of which was recompilation)\n" + ] + }, + { + "data": { + "text/plain": [ + "judiVector{Float32, Matrix{Float32}} with 16 sources\n" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "F = judiModeling(model, srcGeometry, recGeometry, options=opt)\n", + "F0 = judiModeling(model0, srcGeometry, recGeometry, options=opt)\n", + "\n", + "J = judiJacobian(F0, q)\n", + "J_ext = judiExtendedJacobian(F0, q, offsetrange)\n", + "dm_ext = zeros(Float32, n_offsets, n...)\n", + "dm_ext[26,:,:] = dm\n", + "@time dlin = J * dm\n", + "#@time dlin_ext = J_ext * dm_ext" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "5ab77c96-be9b-458c-b6b3-59ceeda287da", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 42.730819 seconds (3.56 M allocations: 268.030 MiB, 0.10% gc time, 3.36% compilation time)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.85 s\n", + "Operator `extborn` ran in 0.85 s\n", + "Operator `extborn` ran in 0.92 s\n", + "Operator `extborn` ran in 0.89 s\n", + "Operator `extborn` ran in 0.88 s\n", + "Operator `extborn` ran in 0.88 s\n", + "Operator `extborn` ran in 0.88 s\n", + "Operator `extborn` ran in 0.94 s\n", + "Operator `extborn` ran in 0.96 s\n", + "Operator `extborn` ran in 0.86 s\n", + "Operator `extborn` ran in 0.91 s\n", + "Operator `extborn` ran in 0.97 s\n", + "Operator `extborn` ran in 1.01 s\n", + "Operator `extborn` ran in 0.90 s\n", + "Operator `extborn` ran in 0.95 s\n", + "Operator `extborn` ran in 0.87 s\n" + ] + }, + { + "data": { + "text/plain": [ + "judiVector{Float32, Matrix{Float32}} with 16 sources\n" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "@time dlin_ext = J_ext * dm_ext" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "a29fb2bf-6170-4e05-9679-5787b3c24000", + "metadata": {}, + "outputs": [], + "source": [ + "data_extent = [xrec[1], xrec[end], 1f-3*timeR, 0];" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "1ab7cbf4-187a-4d73-be62-99acce0bea8a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "Figure()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "Python: None" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "imshow(dlin.data[8], vmin=-0.5, vmax=0.5, cmap=\"gray\", aspect=\"auto\", extent=data_extent);colorbar()\n", + "savefig(\"J*dm_standard\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "5e32b57c-204b-4ab2-9c17-bca884e93414", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Figure()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "Python: None" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "imshow(dlin_ext.data[8], vmin=-0.5, vmax=0.5, cmap=\"gray\", aspect=\"auto\", extent=data_extent);colorbar()\n", + "savefig(\"J_ext*dm_ext_extended\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "7b0e2922-45d1-4217-a007-8d80e48f7cef", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Building forward operator\n", + "Operator `forward` ran in 0.04 s\n", + "Building adjoint born operator\n", + "Operator `gradient` ran in 0.05 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.05 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.05 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.05 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `gradient` ran in 0.06 s\n" + ] + }, + { + "data": { + "text/plain": [ + "PhysicalParameter{Float32, 2} of size (256, 128) with origin (0.0f0, 0.0f0) and spacing (12.5f0, 12.5f0)\n" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rtm_lin = J'*dlin" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "cd24c659-7593-4675-9d57-120dc1427a18", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Building forward operator\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.25 s\n", + "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mDeprecated model.d, use spacing(model)\n", + "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39m caller = ip:0x0\n", + "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Core :-1\u001b[39m\n", + "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mDeprecated model.o, use origin(model)\n", + "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39m caller = ip:0x0\n", + "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Core :-1\u001b[39m\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.28 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.25 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.22 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.27 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.27 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.29 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.26 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.26 s\n", + "Operator `forward` ran in 0.05 s\n", + "Operator `cig_sso` ran in 1.21 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.17 s\n", + "Operator `forward` ran in 0.03 s\n", + "Operator `cig_sso` ran in 1.24 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.19 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.27 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.18 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.23 s\n" + ] + }, + { + "data": { + "text/plain": [ + "PhysicalParameter{Float32, 3} of size (51, 256, 128) with origin (-300.0f0, 0.0f0, 0.0f0) and spacing (12.0f0, 12.5f0, 12.5f0)\n" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cig_lin = J_ext'*dlin_ext" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "fc3d12ec-4d53-4d57-bcf2-df31102e76f4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ooQIQLxhynMZiBUPO0y7FWXUQDPWXy96k8lKc3HUNd+i0QrWLyjBVsdakoPZDFaCca077VbW9Sq5chwEKGoEoyYLGQrvuc2QfYrMaufckZjPWB6dkcXL4f00MpeYidX11pFDxnXip9KpISbm87qufzSnv+RmdKk7LmhRc7BhQ9qhTRA5uqYOv8tSVI7WaO1vVSO4UaOelmW2tGo3smya7UTWnfz/HfLu2Qr61Kj/o+n3twVPK7ftWP5b4WQ2Jv4zxwVh/qW+7Ym2PwbgQKu6rWw5DFdkNbOFQbcyVZaA+T8SyA7lT/aFTWu4xlpwgqugn1SaurAQ5M37Y3EsQm6WJOQBIsjza/qc4Sm2QST345MpyaT72aUQmNTbDEMPp28wtxrCsBjX3Vfjx0AEwxwGK4vYhEb65EwHZhcqqVavgnHPOgWOPPRZmzJgBl112GezYsaOuzP79+2Hp0qVw3HHHwTHHHAMLFy6E4eHh3E2pwVd85SBWkd2gsjnu/ZyByOd07YUWThX9zbVRUiDNvMTa1d6rKihI+pfCLeHi7OcSBzF9wOpIHG+VWQaMq2o+n1NzL4Wrmfu+RMx+CSEkKqk5TeGWfPRCxZpUUFkcVyD5nxxUgexCZdOmTbB06VJ48MEHYf369XDw4EG48MILYd++fbUy11xzDfzwhz+Ee+65BzZt2gTPPPMMXH755dnaQC0e6uSdK7shPc1XsZml6d2cSlcikKhyVNkY7hiBlCNISDlzO+2UtHLqmJc/EjtVZrVCCK05bRYkd7uryvD4SD2cxGYEfRsxAdTn1p7yUwSDZG1TnKmHNUlmTOr/YrilWRyOO7fPm5jVGgCsW7eu7v0dd9wBM2bMgG3btsE73vEOGBkZgW984xtw9913w7ve9S4AALj99tvhlFNOgQcffBDe+ta3ZmkH9RHH2NgYqUjd32MHunTirjOnJh7jTkHJ6dp121MVJ2bPHUOqTAqn2zfXtnTetPOLjS1myy/XamjGSdfnbuXxodAK45ZaLyaQpvY75ZCm2csh36YNnqGyfgyRCqgUbipu+fOa4yAcyuK48bTKj3xKVP6MysjICAAATJ8+HQAAtm3bBgcPHoTBwcFamZNPPhlmz54NW7ZsQW0cOHAARkdH635CkCpeLgvi1tFAylslp2/TLydNWcYAEw+5FzA3xlw/UvsZ49SrzCTkzI5RGTLuftVcoaCTOq4aLqq9Gq4qoMk05GiPZp/lyDBwoARDTl8mySxwnLmyGj6/WzZHFofj9G1yGau2EypjY2Nw9dVXw3nnnQennXYaAAAMDQ3BpEmTYNq0aXVl+/r6YGhoCLWzatUq6O3trf3MmjVLxI8tYvcbQOU9/3O3ErkCGrVpXe5cnJjqbURqrirRk4KqNg03X1WfvFPS2TlQNZefndKUT+Gquj4nzKoC58+qGLeq9psW1GE0FySH4ByHM0ms4A7fqZylLT9GYtmUKg6jLioVKkuXLoXHH38cvv3tbyfZWbFiBYyMjNR+du/eLa4rPXlTAx2T5eAUN5XNwYJf1dkcX9Dk4qTscCfpWHHD9UXC6b6XcGG/5zjNUHzSAOeOg2Y8W0FQhpCjjaHTfy64Y88576pPo1KRknLy9vmow0pqEAtxSk/6sZyhvlSd1aCyOBynlFuSvZGIIw1nDLI/o1Ji2bJlcP/998PmzZvhhBNOqF3v7++Hl19+Gfbu3VuXVRkeHob+/n7UVk9PD/T09ES3pXTeJUo16KrErq6u2pPL/gSUTkfL6db3+f0FlYOTgr/RuHJue2JOjFjwl9qJ5Xah5czF7dfz11xu7lzrQ8IdO6Yx8NdgLt6QjUYKtmZmUhqFZnHmzh6H+pFyyJJySgVDSBiHfL8PN5viltP+Bdocvip7RqUoCli2bBnce++9sHHjRpgzZ07d/bPOOguOOuoo2LBhQ+3ajh07YNeuXTBv3jw1V2iBcEpUmlUp60g5fXuYDaxcjmyOa9O3RfU1FKBiwY0xV14K7jTVKE6fqyzTKKSeVlsRuR1/abNZaMYcScSKpj3cnEgzwm7GLycnd8rXQpK9kWY1MNshTmmGROvnNJyuLWncxNpIccbMUfaMytKlS+Huu++G73//+3DsscfWnjvp7e2FKVOmQG9vL1x55ZWwfPlymD59OkydOhU+8pGPwLx587J948cHtYnKDIr/jErOLAe2oQCgltHh2pjCWdbzFyOWzfE5Y0FlVUpOt10cZ6pDd/uekgnTcrr1NQ45ljslixPD7a+d3MEfa0MuHn+cSnRidiMUSLF25QIX/HJx+76aCoA5xWEocLvl3FffBgdpJgX7S+sh+xrxhImyklf6d8Ek3BpkFyq33norAACcf/75dddvv/12eP/73w8AAF/+8pehu7sbFi5cCAcOHID58+fDV7/61WhOf8JKuE6OEx9c6owSKxQnxY1tYEo0UOVCnBQ/Ztff6KGFLF1slFiRlEvhDIlKny9GxIQ4fbt+mdjMS0jYccgxf5i9VkCKIC3rU5AEFexAEIMYgSqxVdVBwLdVRfZGypdLpEjGSiIA/XJSTk6kaLIaKZwUL5cJkYxziFOC7EJF0pDJkyfD2rVrYe3atVn4pGrRPdW7993sRlfXnz6TczMuMZkVjBvLbpT33FfMRkpmBbPHBfFUYKLA58wNSiBV3U9sfHNlOSRIFVwpqLpvEn73VVOnGdytkL1ptEjJmdWggAXtRvSTEkhaNEqkcJwur/vtopLLz+K45VM4pajsYdpGQpNxoILo2NgYTJgwoa5c+YM9PKTldAMKll1pVGbF7a8kg4Rdj3UCqcJBE5Sp03Zs5ijEjWXPQk5cOqYS7lxzQrVHKnK1axNrj18ml/PnymD9zRnsNE6a4g6d4Cmx7t7TcnOc1BqJDUihMZdmbzS2Q/W57IJUpHBjGiNSML4QtyST4h7W3bKxIiVHJqVEx/xTQulAcOrYFyT+t4JiOUO8mgUYM+GS0wDXT86WFC6nvxmlNrXBL4e40taPOWWl3OdErwS5TmPtBkmASgG2DjU+KoWv5MrhK6R1UtdhqDzmMzTZhdh+SQSDW1bDzfkJaSYl5D8l8cO143/DJ6a/PnL4i44RKgD1DkGqlN26mFgJBdQYTn+TaRRuDGfIBlaegtQBaoUZNbapzlbDF4Ocp+5YSIJE7FhKbeQQ1LmgOelWMSYpIqVK5FzzoT7GCmAukPrluPKxXJwdzmdqOak14/9RN7+ue9jD2qjhdNuOjXFKJiX3uu8ooQIgG5hQYOSUa2pmheIMPU2dEghCjrq0JV38Gt7c46XhdvmkDi1mg1GOVIuUzR3rsHNwx/BxbQhd06DRQjJmvefcD1phruWWHCgkgSyGG7Pht03KHYLvC7nMghaUDY1g0HJrRUpICEqFGVY3Bm39jIqbnXBRKk4/APt1/Tpl+fL5DVfdhoSChNO/7m9Y94/Q+eV9+xpO3w7WB6yfGJd/T7vwQidySbAKjS3WNkyMYWPqlvX7rAV28uH6FxKKoSDo81FrBrOlFampY9Ms26X9Kmz4Y4+VyxHYfHspY6U5AFE+ghIpGh/IcWqCqAScX3M5KV6sjRo+rC42j6lZDYrTtRESRphvkojeEKcWHSFUAGjh4N6jnDM1wKFgHOLE+KiA779SToESKxSnz031AQuqWHuw+iGH1NX1///qLwcumGvg26HayImVEpqgiTkaag3k4MLWDCZWKC6szVw7U0WpdCxCgpsSlhw0XJJx43j8spRIlkAiHNyysQcIKZfED+QSmdKgJi0nmf9mihSJIJMEe61Icf0lJwQpXsl+dLnc52Ck6AihUgZCTjhg70sb5as/QW5mxS3rc1CclCjxbbkODSuTQ6yU191+uvf8r2hrTj0cp98Xl9ttE1YuJyjO3GKF4nWRg0szPprAGLIfal+uIJyjTmgNSw8gWq4QcouUHHtFK1L8fZwbWFDEOKXjHooNLqfvg6g/Gd8pIsXvpy94OQEqFSlUbJGi7YVK+TdPqI3rT7T0lEsJgRixQtXDQJXXihW/TiiAlIsTEw2uzVC7sba713zBQJXjOGNPjRxnrBhzbbhto9oqFUa+Tal40Qq90FiG1gS2xlwxHCO6sLXCtRFDThGiqSdx3Klc/lpy63Dz5ZbT7p0c4yktiwVRyo40aGMcFKdvI1Xka0RKLK9UMPg/Ph/Fy8U9qp2SfkrR1kKlBLawqQXOiRW3nPvKZVa6uvJnc3w1S51oOLGC9d3nxdpcFEV0ZsVvI3Wfcq6aYC4BZodycqEAL91knHON7Z9mTH2uULtSuTlxlOKYqkDKWuIgObzkGgvKF2A8oYOAlI8K3hhvjJjH+LAg6tfV7gspp+v3ufISaESKO64uNxUDKA6K0/frbj+pOeWEFMZF1U1d/x3zrR//b56EArZUbVNKsxQuHKdfT6pU3bpYeW4B+AErtJCwuthCl25OyUlAIn40XKF+Su1JuKj3GCdXLnX+MDtc8OLmm0PZBsme8tsUi1RBIXHmbjn3oBDDRQU69z7VLr+NEr9E9U8SxLFDQq7xDvmyVC6NSMG4JP7UL0v5QgmnRqRw7fbrU+3E6vqc/pc1uPhGQSNSSk6svgZtnVHxFa/UQbmnWf8E4ipN/xXLrLg/3ARSnG67fYdZKmtKnFCcPgfG6drBNldRpGVWKGCnHJ8Tc3w5OKnx8teA9BSmAXX69NuVGuR9+H1z2yJx9pQ9boz8PsVyUHYlCPFzQlHDkXu+OC73FYAOTlo7obIun/uqtadtV+n/fE6qfVIO9z0mMClOjVgPHfakYiEkTjEujJPqpzvGVFtzcJbAPn2QoK0zKpSC5AbKreu+YpAsJoA82RwsoFB9LMtwnH5bQwtL0k7NSSD2ZOD/nssRYtzc6YMCtg60TlRzMgyhDKza05nEbmp5rRDy+8GtTQqc+JYiZcxyBFSqDVLhrl2/nA1u/CX9CgVwiis0f5yPlfghzm9inFK/HhuTMJHC9TVVMHBtpZCLU/INUB9tnVFxO41lOUJBxT35YQ7Sr+Pa6eoKP8mMTSjFWdrB6pb9dDmxOhSnz+2Dc+5FocusSE+kFKebQfLLdnXJvuasAXeCkXJx/XXXUcnnzz82FlJIxYA/nqF1kgvSE6gG2H7NjdA6ppywtHwInGDjgmkOUKn62PXJiRvqq6oxgRSzQbXJHVM3w4DVk4gUCiGBEvpjbjlFittPTDCEhBTG6bYTq++Pbaz/7gihIgn8ZXlJ4PCB1XHrUnxuWaodWJupOhgn1U/sfaif0nbmECuSkwwWyLkgyzm1kKOnBFzIEWFCwK/PrcOcQZYTPCGHrw2ynLjFnGxMsOPGh+KKDapcf9z7VDs4m1SbYxBau6nCkKvPzW8KFzZ3VIZB47soTiwYx65PKRcVGziBm1OkhDi5cY0VKRhnSNBTaGuhAlCv2LABc1/dQaLEilvHrefe9zmpLIeUkxMefh0/40Bt4BiBRHGWr1xmJUYAlrYoYeW3C5uLGGBt9ftXvnZ15c/ilJz++KT2i+Mq7WsRU0cjwHNwY2sk1aYGqSJAWidWhElBZVKw9Z86jpzfooJZiFMTUN1yXCaF4o0VKZwYi+X0++dec8tymRSMkxLtVP/8fuYQKCXaXqgA8IvFfZXWwyaFEivl71zgd8toxEroZCzhxOrHcGJ1NGKFa6cGXCDyAzJ2AnSvYQIJa1uKgMAchs/HzSlVlyrL1aUcCla+ioDucoTWLnbP3Xu52kfZ4taCW8Z99e9znBhiTrUaXteWdPwlgsE/kEmROoch/+hyYKLBLa8Z11iR4tbnxitFpHDzKBVGnEDB+seJzRwiBaDNhQqm4MqBo/7mSQoXJVawLAcnAkJKleqf/zuXBfAXiEYgaTgxEZDisPwTR/kH/dzTHtVG6YnLLU/NhT8PXV1pmZWQCPQ5Uza2hIsqW6VAoTgoUS+tn7Mt3PXcIlLarpwiBSuPPScSCmx+WS23b4d6hiF02AxxYSd+12+77yWcsYIhlpObe6x/bh99XxozttQ+CIkU7tmbmLlsa6GCIXTKSdlonFih7LsLR3KS9euFgo705IcFZU6saDi5dvj9S+HEymP3NFmBlKCOcWL2c3NJoOFKge/8c3CltI86vaUeUiguTfkUPilXjqxGar+o/RcS5CkZBsw2JlKo+jGcflkqeMdwSspSIsXn5ASnZq1KxFjOLIqLthYqvoIsUSo6X/n5k4MFbwknJlbKa+4P9ZcAfW6JgKD6Wb5yGSQJF1YHGxeME+OiFqpUYEkzHeUrlu2QcFEiDuPz38dsRE7k+vZTxQoFydqqkisXT2qQbkUuzvn7ZWIFUehAwa3L2CDMfbsHqyc59EiDuF9Wk9WQHCglgijEKekfFr8wweD/pdlUkYKJIX+MQiKlLO//wTkp2lqoAPAnR6o89V7qfCQBrnyPBQT3HpUVcO1JTq2SYCzpp1uW66dEbGi4/HpYWb+cOy7cGHJtDXH744HZ9dsX6ksuUCdXSTuw8cDGUNovykFjNiVjg/UtFCTL3ynn768D6cGE4+PahXE3CpIgF6oT2jN+vZDP9cc9JoiGxpAK3qG2SkRKiCtWxJV1Q/f9V6yfUsGg8U+hNRPi9O3EoCOEinui9p1WudmwH9eGmyHgBhvjp8QK9jdB3Da7CzjFkVH9dPm4NmP2QnXctmP/GJIL6iEunw9zoNwzK1ouClxAColMLTAh5nPlBmYzNxfXLw4p88TZw+ZQ0oaUMZH0JRQEcoAKOCliWyJOMB+I+etYkSIJ3hQnxScVXZQokgRujp/i9PmweBcSKRL4AkwiiCh/AkBn1KRoe6FSggscUoXnKn6Jw+YCYojLv8YFUX8zUyef0MLU9M8/0WJ1sFNqSv8kAToXF1UPa5NETFHg2iIRVBJBpDnBaE9Zob3EOT9s3YYcLQZOAGNB1j8IcO2XcHEnYk2QC3FKhJF0vENcVF1sL0oFG3Ug0wiPGNGg4ZIcPkLIJVL89UXdd7m4/kl4NaJZw8XNpUYgUegooeI6Q/+ZhXIw3QmnJr7MEPj1fT7/d0zdYnzY5qCcLtVX6qQqEStu/RinigWXopA9J5PjdOiOV87+SUQgJaakTg7j9PkkZXOMo2srxmGncMRwaQJeavs185LDvs9B7e8UrpBwlQoHLRflL3LA9afUnEkyKdJ+SgVD6BuCWsGAcWoFg7Q9FBfFiQGLBSnoGKFSIhQ4pBOJndC5ujlOu5qgRwVVDVeoXuieW8ZvOxb4JGMlDWYhRy4dSwknVQbjojj88qEyvjCSrkeuHxQfN2dVIDSeoftlmZT6HDgnTZWJsY/tQc0elopaqj5lSyMIMY5QEOfqajglIkUqjKR7SZrVcG1q58Itk5rVkHD6XBrOmLbHoOOECsCRp3iAtGyHj9AEYUGH4qPanJL18AMstcHc7EPqScfnLAr6ORK/jn9NIlb837lvIFFcWk6qrDuOIS4KXH2MTypWYoSmz5tTsFBcLqRBNbeQCp0kc3G4rz4XJhhiHb4k8FB1JGX9ev74uXVi/guyJBBidX2ulLkLcZX2KZESy+W+ujwYn1b8cXwYp4RPKnZi0ZFCBUDmzKUTHDr9uWVCATHEVV7zHTpXlwv4ktM8xsmBckZUm6ngl0MIhgIf1VYtJ1UGE7YhgUOdtDTQzBdX3wclxFIcL8WBrU1uvVJCNYdTlArpFL5cTlwyF6Fg5/8eK1DKuqFAjtnSjLlfhxOVWk4JFwWNSOHsSAO9VKRQnNThWMrF8WF9yCXwO1aoAOApbSyAlGW47ENpz6/rT0bIsVJc1ILSnNT9toQ4KS4Npw+M0+Uof0/h4vqJfQOJqhcLV2j4XNT8xwYnztHmECscl182l9MpuUJzlBI8NWiEGJKeknOA8l8pp32OC0PJofmmTYiDC6ya4J3KhfGliNqQ0KP4qPVJtZ3y+z5PTP8wzpzrLO07QwJ84QtfgK6uLrj66qtr1/bv3w9Lly6F4447Do455hhYuHAhDA8PV8LvK/DYhecHXU5sVKlUKVGTe2NJT3+aMc3JFXL4Pq+Uw+fy+4ednKi1EhvcOAciKeu3lXJsXECj5sv/4dZySPhL9lqoLMVDtSt0QJD2H2uXdB9jfNKyIXDr1n+l1oNmj7iv1FhQIkXClUuk5OLC+CS+lPLZEr+kiRdYHzAurm0aLmkfUlGpUHn44YfhX//1X+FNb3pT3fVrrrkGfvjDH8I999wDmzZtgmeeeQYuv/zyytohcU4Af5qgsbGxup+Q4wmJFC6w+lwcX3d3d91f9eMWRWiDhfhyLkCfMxTUc3CFAmA5jqlc2KtrM1WscEGRK6/llQTQVPElbUdKP1L4SsQIQs6uRqSl9pnjwl5TOKg9pBFuEi6Xk/OhVXP5fCFOiX8ux5H7q72SGCGJPZK1pYl/jdynABUKlRdeeAEWLVoEX//61+GVr3xl7frIyAh84xvfgC996Uvwrne9C8466yy4/fbb4Wc/+xk8+OCDVTWnBunAhlQspkolP1IeyckspJSpfmG8Ei6/79LFGXsaoOyEuHxOv90SLgkwx89xYvVD7QzVwbIEEg6uT9xpuGxflajaPsXBrR0KEmFc/mhPqhKOUB2sb7GgAiDWTglXDl+gFUTYPpH4AoxL0nbOV0u5tAcULvaE1pZkLBslTlxUJlSWLl0KF198MQwODtZd37ZtGxw8eLDu+sknnwyzZ8+GLVu2VNWcOkhPBZqMh2s3RqyU9g8fPgyHDx8OZiD8tmuCMNW/EFfM/2mQbjqKK2YzSLlyiBWM04ffn5x8GHI5EK2AzYkq7EqDRE4uzH4ODnctUftSG8RDfD4vxRXLKfUBmkAe4pNwYX5SKrAwHy3hCsUB15423nB9C/3X4xi/nGP9VfIw7be//W3Yvn07PPzww0fcGxoagkmTJsG0adPqrvf19cHQ0BBq78CBA3DgwIHa+9HR0eQ2liccX1360Cj1srx0En3bZV3pKdbvA8dN9SOWy2+v2wYK0sDq2tSMiWT+OC63T9L6Wq5Qe7Hy1AmOsi9d19w8S8pTZTleDthcS2xoeKiALi0bKo8JYGyfYzxSvyEJQD5PObahPrlt8ec8JIZShLPkkOX2S3P6pzhC7dMIIar9qVyc36PWG9Zn3x7GE1rXoT64fdGUlyC7UNm9ezd89KMfhfXr18PkyZOz2Fy1ahXceOONWWy5kDotdxJDijU0KaUDoJyxu3AoLm4R+A6H6hvlxKRclJCQBi/McVJOhdu0EoREDrexUzhKe1qBokVIKHLOUSJWMEFaFaSiNycfxiUVKRKnXb7m7g+2rqggp503jRjC/JmGj/KlIa4UkaLhwubOt83ZTeXC+sAJlNC8aYVeaC1Q7czpN7J/9LNt2zbYs2cPvOUtb4GJEyfCxIkTYdOmTbBmzRqYOHEi9PX1wcsvvwx79+6tqzc8PAz9/f2ozRUrVsDIyEjtZ/fu3XX3Yx0Attgkjif0g9l0f/x0oyR1K13I2CLG+sY5uaIosqQ4/d8l/QtxhYQiBa5fIYGmBefEsX5RbZU4Ekp8uhySOaDqSdqmnZNQeSow5OAIjW2o3yEuv44Gmr3A1Y3hxjio8Q75CKqN3P7N4SMkvkjC5fZLKlIkPjfUL25NUjGD2xeaWMWNaarISK0PUEFG5YILLoBf/OIXddc+8IEPwMknnwzXXXcdzJo1C4466ijYsGEDLFy4EAAAduzYAbt27YJ58+ahNnt6eqCnp4fkjB0IagGWKhArU14rVSK2OH0FibXP/XsfXLAJcfn2XYfs2sacKMaNBR9KSGHj5faBaotf1g8k2OaQ/P+lECgngF1LcfQll+80/HnCyqTw+cD4Jc5Jar8s785dCrTBWQpfpGg4pOOVax45Dup96r6QcPq2JYFOajskDDUHGf96SJy4fL5AkXD5vorjo/ojFcEhzlQuqn+xyCFQSmQXKsceeyycdtppddeOPvpoOO6442rXr7zySli+fDlMnz4dpk6dCh/5yEdg3rx58Na3vjV3c9TQBhAuAIQ2pMs1NjZWe6U4MS6svRiXX963i3G5v7scXHCXLE6KP9QPKvBK5iw2QKcEIKwNof647yWCl2oXt9Zi++GvO4wzdpx9Pkm5XMJLs3Yx21yg0LaJC7pYeeqgoYF0TriAJ/F12CvGQ/FR7Q6NmYQL48T4MLGg2aOSfrl2yq8u+//kj5szap4ke0XSl2agKX+Z9stf/jJ0d3fDwoUL4cCBAzB//nz46le/2oymoKCcPACeaseCJaaEMY6yXpkx8DMt2GZyucofysm5p8nQ4qauHT58WMXl15cEey6oc+PnlsUcZ0iEcXZDQiIErA3uvHH98a9xoJw4JnRSxYr7nltbGIe0PxoHKeXB9q37PpdIkQTWkE1J+VhRouWKDbDYNcoXulya0z9lUyIgY/pFCZWcXBgHF0d8PoojNF8SAdRMNESoPPDAA3XvJ0+eDGvXroW1a9c2gj4JvnOnnDxXhgpOLofL5Z6mQxkW177fXowj1E/Kiefk8ttPXfOFGzd+WDuk84aVxTgwu9h9ro9uPd85+NdDzoVz4tL+hPoQChTc2GqcnqQvFKQCXNoX37Zknl37kuDKlaOCLxbAY8SgJCjlDnZSrtLfSflCot/ncfkk/aPEiUR0cVxUn9zMic/HcXFro91FCkCH/6+fXMAcvibolb9j6TssaLmLG3uWBRNBLpff3tBGxgIN5uDdtkq4YgWL+778SIxqPxeMS1taseJyxIgfDn69kHhNQUiscDyafnGBnNszrcbhlteuY6lIcSGdE79/MVy+LW59uzxS0SUJ4BIujo/i0ojHGC5MMHCiXipSuP5Q/cLigHuY1YjlGF/dLJhQEULr0LFAVgZd6QnRFy1+gKScsh9wqZMixutzcYFdwuWfHiVOJcRFcfj1NAEmVJ8Sd5J1ERK51NhwzjAEiRPW1JP00xfMbj13DEJBIjR3PoffPu5EGQpsPjQnWZ8r1X4JP8sg4ZD4Fxd+cKW4qICtCeQ+H8Ul5XR/pzhC/XLtYKKL61eIK8ThXpPwUH2RrEGJoGxFmFCJgDSA+MIBc7CuPeykTYkVCj5n+RPidt9zIsh9j/WL22gSkUaNIybUQqc3SthQPD4XZ5fqI8YRcjq+w+XajM0/tyZCgYYrqwU3N6F169bXOlCMJ+S0MfHIzTlWH3uVtNG/xs2zpC+YXckYunNCBVqurt/2UJB17fucHI9UoPjz6f9wXJhgCB2GsP5IBRcmiDif6bZd0y+Mm+tPq8KEihC+ow0pa+46JSIoZ+mLFqkT80WL/7tkI2KcXH+xvrm2sKBCBbEQF8bpt919xcQOZTcm8GD1XG6pbSko0UT1R7qGfdsx8NslsRXrPP31LQEn2CUCVBP8QtdCHBSPdP+G7Lu2Q4E2JBw4Luz3UJslB6CQ2JL0ye8PJ/a4MYsRKVS/AOCIZxTHm0Ap0fZChQrCVBnsOneacsv6CJ0cJNd94VClWHH/S2cMV6gf/nj6GxLj869LudzfJU7aF05+PY1YkQZ4v5x0TUg4ynpYH6igLelzqA1csAyVpURSrLhw+ysJ5hKbGLj2SeYu9J6y6+9vCtxpXMJR/u6+UhxUwOWEuFbYhV592/5rlcIB45HOj0R0hbjc9+XvIR8u4QohNoZi8Vm63120vVBJOVWkTiLleKky/nVskiWLmQr2/qaRBHif2+fwFxYmlEIcbr8osYLZ5gIQ1T9KGHH95JxbTDCnrmv7FRLQfpCg5gqzL7VNtTEEipcbFw7S/RXTVoxDs+4oG/57SR9Sg3kImoBO+SRJXygBQUEiGKi5jhFcof5J+0RxcP2SiHtqfkJCPLdAoXgoPq5eSlvaXqhIlFwOexSw4EDZ5a77vFRg9bkx4cBt6JDwwPpBCQmuf/7GcjdsaSN0EpAGIU70+WLF58HKc/3RgFsLlGjDhIzUGXBrCOsLNh4hISHZG1RwovostUvxuA+bura0+5jjoAK59CDBIbTmuGDEBfSQCObEg0Q4+BwaEURxhQK5a1/SD5cjtl9Y37ByIQEk7Ze2bxQ3dl/jx6qKoTE2216oSJRcDnsUJKpaUr685wcmavNySpUTFFR7uADvclDCyH0v5fEDtkS1Y86P45SeBCSCz7VLiQ1ObLr95OYHc5KS4EetA84u1vdQvzBwwi7VNmXTf6UEm4aDsu2+avZiiKP8nRJC1DVuzXE8/jWKIxRgqXWLBXRs3EKBlbNLXcPg9kP6112pece4/D5RYoXi8PuoEXhYX0LjqEGjYqgEbS9UMGhOf24d34liDo+zjQWeWMFCtc/lwRymRKRQDiQUUPw+cUGdC8BFceTzMlQdSqRg/fOFBidSqPGj6lGOhbNF9QXjxDiovmo5Q8GKmvcYQUE5dcnaku4VjZDQOvCQbbcvpV1p4Atx+La5PkiFY6zYkogULtj6Zan+YIGc81vlPT+LJuGgRAPGzc2Rz+G+16wHSnyF1oPfP5/L3fOuP8TaEGpjlTFUg44UKjGKzp/wUKDDEFL22jp+wOXUukRQuNc550kFFI1okQRg93fOiWD9Dokxv0++Lcw+1R/3PdZ2KahAg/UHcxT+HFH98dtLCQOJmOQCZ4zDcdsvESuhIB8Dqv2aIMgFJW5dYsEIa5s06Pn9iAm0lEihePzASrUF4+ACrESgSHysdgwlYxZapxqOVDEU4pP6J25NVR1DtehIoeJDMmCUI/c3EuVgpdAIFkkwLm1KHF8J9w/PUW3BxEpI3WPtofqA2faDM8UVao/L5Qadso6bzeH64jq5kKOUzhHloCXzTPFxziy0LkIcErEaw5Gyh6hgGKrjB2FMGEr6InHw1JrnRIrEpmtL88rZlogTzCb27z24cZIEWartoeDLiROJyIsRKZwfwdrpz79GdEvHToKYOJY7hmoxLoSKZGBCitm9lkMlShwDdbr0Fxp1MqLslBvM3ThceyTioORxAzt3ipD0SyqQfE4qQPsOVnLKc7n8gB1yqJwNrk++cKPs+msFGzfMvv+71GFia4XioNZuyL7kmkQsS+xLBQO1LijRRgkgTqRQAhkDZRu7x/VDIhg426G1HuoLJ4J8n4DZpnhC4xfi9Dnca5S/pfrj29eIE5eDW4M5hK+0jqZM7D7F0HFCJUYtaupJgroGkk3McVEOKSQoynqUs6W4fM6QaKH6QQUNrVjxOX0bEm6/LtU3rl2hICgVEhi3tD+YbWmgD8HnwO5VYVtqXyr8JWKFcrgS8cCJFAoa4eD/LhUPGpFCCXBpkM0lGCRixecK8XF+h+oH9l4rJENcFLdmTWggiWNVxlAtOk6oxKhFrp4/6JzdWLUoqUs5cLd91OYNLRztYnTrSU8hbl3f6YWCPbYBQv3x+xwKgNw4Uhw+F+eI/I/bNKcPTERhYxUSWSGeUBCnAq6UiztxSoI5tQ8pHt8e9eyJb0syNxSXVjCE7Je2uLnRihOpbU2A1eydFNvU7xIu6j1lQxNsKd/mv0qFdmwc49qrjWPNiKEUOk6o5EauhZLCJwnkIZuaMtwpi7pGCSJ/gZZl3M+3pSrcFwVSsUKNH2abA+dkJO3SnKQ4PkqEccLLb19IsFDiy+8DZZMK+JKgwUF70iw5Je332x1aj9KATtnTCDrpuMUEPIlfaYZIwfZC+ep/1Zhqp8ZHUtelY+8L7tC+9Hm53zFfq0Gj41hubhMqLQo3aPgBx73OCQhqU2hPpj43Bo2AADjS0VCnaqp/GmHhtysUCPx+Y/ZC9zgOzL7/YB4WcLB+YGPBneCkJ0dfVHJrjVtD0gDJzSc1Ftg9zmbIfujvbFD9x07Tfn1MCLnXQwGWe3A1tK+xNmOvVB9dSH1HyJ52rrViyOXQihROYGt8B8cVEq8uUsV9J6AjhQoVLLGTqET9a+pIuaXAuKWioKzD2cYCHSaMsPcYl7RdVHAMfTXU5dLaxmz44ytxNJJ++gGIss2Nv0T0SZyWL24kbcfWGtcOKTBbHA8XmFJ5OR5NoPd/D7WDg2+T4+BES8g+tS6x8aeCaYrvwexhNqV/pI3iThEpIfGYyiHtk9TvcqgqjsVya9GRQiUUPADCDru8rjkhSrlj4bcXm/yQYwsFWqnQkEISbLFXtz73KgE1hyERgfFgYxj6mmIIFAdA/Te0yrZzp1FuvMt7ZYZE066QUw3NG5U54NY0x1HOGWaX4qDmifILPrD1Qgkr6r0/pr4wx/5bLsYTgxTbri/k1pcU1L7X+ttYfqktSjhyY4cJr5S4kHI4rDKOVcWNoeOESsgRutfdV7+M9FQbw50CbkFITr9YHay92tMi5ZCp9nCnKEnbpe3gBJDbNs34acabE0Fce9zrVHnsvvR0I22TxrZbJxTstXZDNkLjlhoQ3PvY2GuzC+X4hE7tknZJy1D2KWB7R7qfyjKhvaoRKpIxoeZdsr8ovxcrGkN9o3g1aGYcq4KbQscJFWxAJIOUonhTuWOALQJ3QfmnZsq5u5tEezqUgApM1OKlOEs7/vMSGtHClcNO9dIAoXVcmA3q2qFDh9j6XDChbGv+/DjFgcEdC+lfd/V/l9iWjLnWtvuKPQ/CcVDXsKCHjYtU8GjGSAPJPtfupZDt8pV6KJZDbJZJKvpDBw8MfvupfmG+JVakSNoRui4t26gYSqGjhEooBdXu3NQCorIikjZoN0nqydTPRHCihaqXs72xdkvEZJuouQllCkLt1AZk/7pkrDjbvpiQwF2/3Br1RUrOdRs6OYfapxVZGDcHqQiNzZJwfNo60jVK9YlCTHZDajdmHDGOkODTHCaotnZCHItBRwmVHIoudkKayR3ilTo3icDw7UnsYoE5Rqy4tqRBmXrP2aSEA+ckqcxR6JovNEtbIUeMZQywMeXaTQV86rSrPZFifQidqP3xCWU7ONvSjJBvk8uo+Jkg/5Ub+9h59e+570PiFqsbGpfQfIfajdlMgVSkYAe2kF3JXtaIkSoxHuNYiY4SKjnQTNUYwy0NkGVZSjRIylN8XNswgcOJFb8PnNMI8VLtCNnRnPCo9qfadX/HxiA0ZxLnTn08U9rw/9UA116u3ZyYcOeKW7flq8Y2F5xdYOKHG1/3AWduHftj4tul5lWanXDrhMq4r+XvIaEiRYodf0xSDwnSvYhxUNf8tsWOVxUBnEK7xbEQTKi0IWIDou9EQ2Ihlt8vS2VgKKfut9n/nXMUmN2QGAo5Hv+kXZaRfJU6FHzd95ITt39Pcmrk3kvvAaR/7CCxyyEnB9eXUF1/HXBlY0AdPkJC2xc6flkqi5Xyx9M0WSyJPcme4kQkdz8Gmv5J2ik9LBnq0ZFCRaJcq1K3VXJLNqDUIVMihXKAmjZgdTBHq3EoXDu58eTqUb/HtIHrE3ZK5AK9VnykXpPc19jSZo5ikMIRWuP+dckpO9e1En5mhQOXgeHWuyRbg7WHKqcJ2lSGRLouQkJZ66ck/k97sAmtnRyCqh3jWAw6UqhIg067cWOpYs17rB3uYtOeDvzrmn5JHBPmPKi/AaIRcTHtxNoUypZwaWqq/9psFZWJ4cZX2m7Jsxuh07uER5pViznNcuMrzTBIs2Khtro/EmDrhtvjmj+ORu2hkBhxf5cEYc5v+OtW6hO0kPgo6bxo+TGxEvLjWvtVoJkxFENHChUJNKfyZiJFdcdkYCg7fjbBrS/h0Z7ufT7/hKmZqxRhIj3NuuWpsfJtSrncfoeCfOwJ1a+DBRFKeGEZt1YRKqFrAEeK35g/iBcClo0LCd6SA/NTsad/d6wlgkOzd6R/VdpvByfksXqxfjokqnMdIFPqa9vQzDjWSO5xK1S02YdmIOcG8KE51VFOVmKLCsahkz4X6DFInRAnIlJPPrEnTO0GTxUnoTlxhYnEdqwY0tiIydxI2oJlFf3MR2wmjhMnOZx6qi1qLkK+0d070jUYs0a4utSccOKNq6+dY6kf0yL1ENbIONZI7kqEyu9//3u47rrr4Ec/+hG8+OKL8PrXvx5uv/12OPvsswHgT5Nxww03wNe//nXYu3cvnHfeeXDrrbfCSSedlIU/p7KjbMUGUAlfrE3NBufGSCIuQqcx6gQequPax05aFLDUNOeEQtkOzD6WLQj1xT8xYnaw9mFjRoktzVhzffbHm7rO9TcE35bkVA9Ar1vp/qLKUeuGW0+cXU5QceInxulr1mHoHrfusWtcFkSzbigeidjGDkwh34/xaA9gmn5xbZD6QQ1yxaVGxFANsguV//3f/4XzzjsP3vnOd8KPfvQjeNWrXgVPPfUUvPKVr6yVWb16NaxZswbuvPNOmDNnDqxcuRLmz58Pv/zlL2Hy5MnJbcip7KpWqDELnaqrscVlFGLalHrKp+xp2+YHBPe6/z7kEFJPXVz7JOAcYowwcN9TQioGKafp0DzlsJVj3sr6OQRGqF5MO/3gJ5lTzV7lDhFYHV9Ah9qdejoP7VXOXiizxB1UJYedlL6FbFWFVouh2YXKTTfdBLNmzYLbb7+9dm3OnDm134uigJtvvhk+9alPwaWXXgoAAN/85jehr68P7rvvPrjiiivEXDmcbCxieWMWNlde68jd07wmoyBpD3eS0jhOrLwmMGMnYu0Yc6cz7oQgPWFL20EBa4M086c9EVa1Hn3bkvZrT+YaAaAdC0mGBbObcsLUZsy0mRaJ2KT8rqQMVSe3cMMyJZTP46DJKFH1QyKPAuazQn6sWfFQg5g2ZhcqP/jBD2D+/PnwN3/zN7Bp0yZ49atfDR/+8IfhqquuAgCAnTt3wtDQEAwODtbq9Pb2wty5c2HLli2oUDlw4AAcOHCg9n50dDRrm7VBNMW2xJFIUo4pbYqpH2pTzGmaK68RoVQ6V1KHSs2HODg7vj3/JC45mWvsc3Y0Tj5kQ2IrRvjEZJhiuTi7OTKM0gyWJpshteP/SO1zwTNkj0LKIchf136g5/his2o5fGFsfU2bch50tHYalc3BkF2o/Nd//RfceuutsHz5cvjkJz8JDz/8MPzjP/4jTJo0CRYvXgxDQ0MAANDX11dXr6+vr3bPx6pVq+DGG2/M2s5WUZ7aQCLZtFp7nB0tR0pGJsaGVli49yhR4V7z7/t2qHKUUHG/QhoSGlS7JG3G3mP2qXHRiBWNUMzt7LgAKzltciJFml2g6mF2uMDv38PaxwkS7scvg7UZOyRIxA+GkOCSIEdQzum/JAcgLXL63qqRM/ZokV2ojI2Nwdlnnw2f//znAQDgzW9+Mzz++ONw2223weLFi6NsrlixApYvX157Pzo6CrNmzcrS3mZDM+H+RokJBpxKx2xL25dyCsfaGHJSKZkC/7UUD9TfodAKkq6uLuju7haXw7jL+u59TgCFrknfY22RjiNVzr+eG9JMiDTLUL6n/rS+NKshKVP+lFxjY2N17/22lPdDP9JyVBspbs04cggdTmJFgURchupL1xOA3tdi17UxYDwiu1CZOXMmnHrqqXXXTjnlFPi3f/s3AADo7+8HAIDh4WGYOXNmrczw8DCceeaZqM2enh7o6ek54jp38qMmlDtl5ToFuuVDizJkG7MVEiuSMZGIEk7ASMtJhBWGkNCJEVChQIsFbfd3KhuCXU/5cW1KBQ/Hj93D+iEdB06ohERM1eCCpyTAUlkF95pUmEjvUYJFWkcqSDCb/nXpOITGL4RQEI8VPZJ519QN2QSgY46Uj4sXXH3svcZWyDZ2nYufWDu04o5CdqFy3nnnwY4dO+qu/frXv4YTTzwRAP70YG1/fz9s2LChJkxGR0dh69at8KEPfUjF5QuV2ADO1U8RFtx7iV2pgND0i6sfE5y0r6l9o65hiB17qv9cUA+Vo/76qVSISIWGVPxgbaL6l+O1UZAGVc1rKMMgERX+/VB5jZDB3ku4uev+79x7SYDGwAVyjWjg6sW+astq3mv7pimrnQutKNNydHXpv8iAIbtQueaaa+Btb3sbfP7zn4f3vOc98NBDD8HXvvY1+NrXvlZr5NVXXw2f/exn4aSTTqp9PXlgYAAuu+yyrG2hBiRGhGgFSuh+UYT/qh81we5iKhcCpaS5hSLtv0TASH+PeR8DakyocZIgND5YGan4S7mmtYmVCbWR45L+3ghQDlYSgELXyt+lwZ/jCpXV2KSucf2gykgg2Ve59nDse+ncU9ckPBJBoamj5QfgMxcp9yXzh809x5WC7ELlnHPOgXvvvRdWrFgBn/nMZ2DOnDlw8803w6JFi2plrr32Wti3bx8sWbIE9u7dC29/+9th3bp1Wf6GSggxIqUq+BMdEiaUDUyMYHZC1zhIgrTUbuxYS5W85CSTekpKPclIoBG/UvGXKho1nKHruRHj6FOCofs+NohK2huD3OtBI5opW9K2SSEZp1ifEcMdO69VtTEX/PjiHo4b1aauolm9T8Do6Cj09vbCTTfdlCRutKdr6VBhiher7548YmxL76duEI1t7SaTnDAkp1uqHnf65a5hdqi6HB/XH6691PhUIZCkdSiH5b7HbDZDqEgzjBpnG9OPHMJQk0XD6mAZNeo6Zoeqz5XB2uXfx+5R9ajx0V6PObSlCHKt7VA5N2ZgNmL2nfZwmSoZ9u/fD9dddx2MjIzA1KlTRXXa+n/9jI2Nof8IK3R6CQU3rGyuEzcXfKV1UstLgqjGJmcPs6Ntp+Y+9l77jQnqh6rP2Y3llvaPGo/U+fXv+5CUS3VosZAEDG1gC2UNQsKAKysVBtyP5Fknqkzsc1JcfWn/QuMRetXOi9R2aP617ZTalJSPraNpi+R+aJ9ReyzGL7S1UCkXi99x9xp2P5XTV63Y+9D1chKxa9h1/74Lt6/aflCvWmjshLglY+e+UiKo/Onu7q57pYQB9ZBkSGT4XymV1PPvhR7MLP+jb/lKCQsXGoEjeQ1d48o0EhInrXH+3Ku7L32/Q7XJDXLcQ9XcfU5cYA9Nh+pQ9dxXri4nCLTBPUYESOcxlx1tm2K5qPvaspL3qcDalouvI4SKDz/YlWUwx8mJAU5Y+GW4Otz12H7nFl8AeIAKiQQ/aOYQPW67UoIrFqAl7znB4r9ioiMkSiihgompkssfS1e4uP2mxq9EaHyocZG8YhwYcq1dah9pA4UmWLq/Y3s51CZORLjvMRHBvZcKEZ8r9CoRIdj7XEE+x2ujBIekntYmdT/1OvZeaytkU2uHQ9sLlXJTdTqok5p/v0RIJGBOVhpAQuXctlJBLJWH4wjZoLIBKWIIu+6X4URS6G9ccF+Bxa6H2hkSItz90HhR485dj4XEecYEnlCACwVs/zp1jRIw1H2pvVB7uHHhxov6nbvm3gv5sdC9UFkph4YH85PSfoa4pG3tJIw7odLd3Y0KFa3yC92T2pDW09qI4YztT8x1rY1GcMS2yYU02EoDuFYAub9LxYTkr4dKr2GvoT5SYxK6HovYU570viTwc/Wov1UjFT/Stmn6SL0PXcegnWfN9dg1VCVHrE+QlEl5n+qrNPVS93pMcqGthQo3QJLN5pbz61A2QuWk3LkQcrjSMlwdqXOnrktOZNo6riPn6vtl/HoSW1QfpY4/B3I4Qv9ayNHFcFLXNPeliBHCsaJesoZj7VFlcgGbR0kg8q9Rdri6IVuh9SgtF6qjvU6Vpe5hWRRpmarQCJEi5Xavx4xBWwsVAHxA/AXhihGuXBXwubG2Ye9ziaEYEaE9oTXjVXLCjTndSjik90Pj5N/H3jdC9KY6n9hyVSN2j6SWS4Hm5CoJ5lT2THM/VJf6q7jY79I2NOKVGyvXD/vjSt3TxBPt3GrrxdStul7oOoe2FirU15OrdiiUfVeM5LCnLRMqpwmAkrKaTIm0XA4xpL0n/V0qfKT2Y15jfsfeU9c092PLNgMa5xgqGzo5++9TsgGSV4kocK9J/9x+rH3pPe6VGhfud2k5SQDVrAGubKxwSbHllw/Fq6pgQsVBqWz9a9oyMbxVlq8CuQWURMBQ5UKCRHs9JqMRk3GhrofK5c7UaPofGpfY9z5ixIq2Tsw+0gqPmFOr5JSufZWIAOy9pqyEU/pfk2OEl3Yc/evctdhA2a6+PSRM/PJV8vkxF4vBGrS9UMk9KeWApg5sLHIq8KptUPX9BZoC6RxIRRN2TSuG3PshYaQVUDkyLTGiRXKdek9dk6ARQoWqJxUksddTArgkKyEtT90PtUna39A17npsOQoS35MjSKci1a+lls0Bjk97yAmh7YVKLFxF6F93X9sZqSeHHCePRgqvVMRmGLTZHmm51KxJo4RKlcKlGcLEf59TqEjKpWYjUgWHNDPRSOQM7FVkBnPWb3U0o3/jVqgApA146mSlbH5N3RieXOIi5n6q+Ek50WEOWpNOdRHrWEOZIUnmKCQcpMJCk6WS3JMgl1CR1NesldC1mPvudWlbqhL+seu8RFVrJUYE5xIiVX+U2cz4025oa6FSpsr9TVlOovRzMmyTYh8BYfVjuFM/VpLWjeXJ4QxD3KG54K5T2TAtNEIq1vHHIFUUaYNGruvS+41CrJCu6noj11AsJD4jh6itas1K7lcpVFLqpfI0Oo7l4pagrYVKiZjN4A4YJ3ZiTqIh7kah2Rstx0dH0nI5gktMNqZR2SdN3RhbVZ8eWwlVZhlzIuR7qLKx5TSiILewkJaRlGvXdRmDZsaxXNwStLVQ0abm/YH1r3Nq0S/vop24setVcXN1U9suKRNznbKv5fWRKwsUalOr2GtltEJfU7Nmknvtcl1bJlSvk32qb6Nd45gWbS1Uurrwf0rIlS+BDXiV2ZHxys3VlQSMKpxbrhR8rusx7WpGVqAVAnwO5M52Vp2Nis0gVCEkUsrngnQ8OtWndgK3Fm0tVFJQheozbn1bmsWdA2W7uZOJ/2yND819CXeovZ0iNnIitwBPKV/l/VTbqeUbjfHgU8cL97gVKhi4AQ6ltoy7fbi12Z2cDj5WKDQyg2Ji5k/I8TFEK3K1Gk8n+RbjlnFrMW6FinaiQqkt425tbilXlWjn7NF4RDsIldS6rYB29y3GXT33uBUqzdzcxm3QourgF/oIarzDxqS1MV792njhHrdCpeoUmHEbN4ZW67fmW3MG3Tcjmr3WGo3xur+Nu3ru7kqttzD8NFQjP5c37vHF7bdhvPV7vGG8jvl43d/GXT33uM2o+BhPp2zjNm7qvSE/xusYt9I6N+725h63GRUtmnkqMm7jNm7jNm7jHq/cJlSE6FSlatzGbdzGbdzG3crcJlQMBoPBYDC0LEyoeGjX1JhxG7dxG7dxG3cncptQ8dCuqTHjNm7jNm7jNu5O5M4uVA4fPgwrV66EOXPmwJQpU+B1r3sd/PM//3OdyiqKAq6//nqYOXMmTJkyBQYHB+Gpp57K3ZRK0GlK1biN27iN27iNu5W5swuVm266CW699Vb4yle+Ak8++STcdNNNsHr1arjllltqZVavXg1r1qyB2267DbZu3QpHH300zJ8/H/bv35+7OdnRaUrVuI3buI3buI27lbmz/x2Vn/3sZ3DppZfCxRdfDAAAr3nNa+Bb3/oWPPTQQwDwJzV18803w6c+9Sm49NJLAQDgm9/8JvT19cF9990HV1xxRe4mGQwGg8FgaFNkz6i87W1vgw0bNsCvf/1rAAD4z//8T/jpT38KCxYsAACAnTt3wtDQEAwODtbq9Pb2wty5c2HLli2ozQMHDsDo6Gjdj8FgMBgMhs5H9ozKJz7xCRgdHYWTTz4ZJkyYAIcPH4bPfe5zsGjRIgAAGBoaAgCAvr6+unp9fX21ez5WrVoFN9544xHXm/05W7PSZ8Zt3MZt3MZt3O3MrUH2jMp3v/tduOuuu+Duu++G7du3w5133glf/OIX4c4774y2uWLFChgZGan97N69GwDa73M24zZu4zZu4zZu49Yhe0bl4x//OHziE5+oPWty+umnw29/+1tYtWoVLF68GPr7+wEAYHh4GGbOnFmrNzw8DGeeeSZqs6enB3p6enI31WAwGAwGQ4sje0blxRdfhO7uerMTJkyAsbExAACYM2cO9Pf3w4YNG2r3R0dHYevWrTBv3rzczalD+VFRMz4yMm7jNm7jNm7jNm49smdULrnkEvjc5z4Hs2fPhje+8Y3w6KOPwpe+9CX4+7//ewD4U6rp6quvhs9+9rNw0kknwZw5c2DlypUwMDAAl112We7m1MH/t9QxiP1Mz7iN27iN27iN27j1Iie7ULnllltg5cqV8OEPfxj27NkDAwMD8A//8A9w/fXX18pce+21sG/fPliyZAns3bsX3v72t8O6detg8uTJuZuDIuUBotTP9IzbuI3buI3buI1bUado5ldnIjE6Ogq9vb2wevVqmDJlSpKt8frEtXEbt3Ebt3Ebd6O5X3rpJbj22mthZGQEpk6dKqoz7v/XTznAzdBrxm3cxm3cxm3cxs1j3AuVEpQibMTEG7dxG7dxG7dxGzeOthcq2CD41/wnlUP3OdvGbdzGbdzGbdzGnc4tRdsLFUzF+df8J5W5++7AdnV1sZ+9GbdxG7dxG7dxG3cctxTZv/XT7igH1R9sF0VRzYNLxm3cxm3cxm3cnc6tRdtnVHLBT1FxSjD35Bq3cRu3cRu3cY8Xbi06UqjEfC6GqUD3unEbt3Ebt3Ebt3FXy42hI4VKysCkDqpxG7dxG7dxG7dx50PbCxXuKeNcTxyXtkJPNBu3cRu3cRu3cRu3jFuKthcqvnpz33PKTjtg2Odtxm3cxm3cxm3cxh3HLUXbCxUX1MBh17u6uoLKkrNp3MZt3MZt3MZt3Hm4OXSUUKHUGna9KI78ahZWTqoAjdu4jdu4jdu4jTuOm0NHCRWAIz8HK9/718vBCynA8neJKjRu4zZu4zZu4zbuOG4KHfcH3yQKL3Qf+4xOogqN27iN27iN27iNO46bQltnVHyFJlVsmFrU8Bi3cRu3cRu3cRt3PLcGbS1UtMrPLVcOXFdXV917CY9xG7dxG7dxG7dxx3Nr0NZCRQt3IP2BDQ20cRu3cRu3cRu3cTeee1wJlZB6TFV9xm3cxm3cxm3cxp0XbS1UYj5PM27jNm7jNm7jNu7mcmvQ1kJF83kahdgJMG7jNm7jNm7jNu7qRUxbC5WUAXIfBDJu4zZu4zZu4zbuxnFr0NZCJWWA/LrloFOvfjnjNm7jNm7jNm7jjuPWoK2FSokcqady0KlXv5xxG7dxG7dxG7dxp3FL0BFCpRGpJ+M2buM2buM2buNuPDpCqFSBHArTuI3buI3buI3buNNgQoXAeFW3xm3cxm3cxm3crcQ97oVKpyhO4zZu4zZu4zbuTuQe90LFR6dPuHEbt3Ebt3Ebdztxq4XK5s2b4ZJLLoGBgQHo6uqC++67r+5+URRw/fXXw8yZM2HKlCkwODgITz31VF2Z5557DhYtWgRTp06FadOmwZVXXgkvvPBCdCdSBib1iWTjNm7jNm7jNm7jjuOWQC1U9u3bB2eccQasXbsWvb969WpYs2YN3HbbbbB161Y4+uijYf78+bB///5amUWLFsETTzwB69evh/vvvx82b94MS5Ysie5Ep3wOZ9zGbdzGbdzGPZ64JZiorbBgwQJYsGABeq8oCrj55pvhU5/6FFx66aUAAPDNb34T+vr64L777oMrrrgCnnzySVi3bh08/PDDcPbZZwMAwC233ALvfve74Ytf/CIMDAwkdEePoiiaNknGbdzGbdzGbdzGzSPrMyo7d+6EoaEhGBwcrF3r7e2FuXPnwpYtWwAAYMuWLTBt2rSaSAEAGBwchO7ubti6dStq98CBAzA6Olr3kwvjVcUat3Ebt3Ebt3G3A3dWoTI0NAQAAH19fXXX+/r6aveGhoZgxowZdfcnTpwI06dPr5XxsWrVKujt7a39zJo1K2ezRei0h5OM27iN27iN27jbgbstvvWzYsUKGBkZqf3s3r277n7s/xKgyrnXi6JgU1vGbdzGbdzGbdzGHcctQVah0t/fDwAAw8PDddeHh4dr9/r7+2HPnj119w8dOgTPPfdcrYyPnp4emDp1at2Pi9injt1y7sC617u6ulh7xm3cxm3cxm3cxh3HLUFWoTJnzhzo7++HDRs21K6Njo7C1q1bYd68eQAAMG/ePNi7dy9s27atVmbjxo0wNjYGc+fOTeKPTS35ai/GjnEbt3Ebt3Ebt3HH26Gg/tbPCy+8AE8//XTt/c6dO+Gxxx6D6dOnw+zZs+Hqq6+Gz372s3DSSSfBnDlzYOXKlTAwMACXXXYZAACccsopcNFFF8FVV10Ft912Gxw8eBCWLVsGV1xxRfI3fmJVG6Ymtakq4zZu4zZu4zZu447j5qAWKo888gi8853vrL1fvnw5AAAsXrwY7rjjDrj22mth3759sGTJEti7dy+8/e1vh3Xr1sHkyZNrde666y5YtmwZXHDBBdDd3Q0LFy6ENWvWZOjO/4dkkLgyKQNs3MZt3MZt3MZt3HnQVeTO0TQAo6Oj0NvbC6tXr4YpU6Y0uzkGg8FgMBgEeOmll+Daa6+FkZGRI543pdAW3/oJIaS1yvv+q3s/91PPxm3cxm3cxm3cxp0O9Uc/rYhQiqm8779y9aVpK+M2buM2buM2buOO45agIzIqGFzlJ1GLOdWfcRu3cRu3cRu3cedBR2RUMFDKjytr3MZt3MZt3MZt3M3l9tERGRXqczPNNeM2buM2buM2buNuLLcEHSFUOOVHXcs10MZt3MZt3MZt3MZdHTpCqMSg6lSVcRu3cRu3cRu3cadj3AqVRqeujNu4jdu4jdu4jVuPjhYq3OduUjXI2TBu4zZu4zZu4zbu/NwuOlqoSJ5aDg2e5sln4zZu4zZu4zZu407ndtERQiVFsWGDp7Fn3MZt3MZt3MZt3HnsYegIoZJDscXaM27jNm7jNm7jNu7q7HWEUPFVW4yKc+to6hu3cRu3cRu3cRt3HLcEHSFUfNUWo+LcOpr6xm3cxm3cxm3cxh3HLUFHCJVU9Wfcxm3cxm3cxm3cjeeWoCOESqr6M27jNm7jNm7jNu7Gc0vQEUJFiyo/SzNu4zZu4zZu4zbufBiXQqXKz9KM27iN27iN27iNOx/GpVABaLwCNW7jNm7jNm7jNm49xq1QabQCNW7jNm7jNm7jNm49xq1QoTBeFKpxG7dxG7dxG3c7cI97oUINaiMm2riN27iN27iN27h5jHuhQv2hm0aktYzbuI3buI3buI2bx7gXKgaDwWAwGFoXHSlUcqScYm0Yt3Ebt3Ebt3Ebt330w2K8PAlt3MZt3MZt3MbdSdwYOlKoxMBXf42cKOM2buM2buM2buPGYULl/zBe1atxG7dxG7dxG3crc6uFyubNm+GSSy6BgYEB6Orqgvvuu6927+DBg3DdddfB6aefDkcffTQMDAzA3/3d38EzzzxTZ+O5556DRYsWwdSpU2HatGlw5ZVXwgsvvKBufKd9V9y4jdu4jdu4jXs8cGugFir79u2DM844A9auXXvEvRdffBG2b98OK1euhO3bt8P3vvc92LFjB/zlX/5lXblFixbBE088AevXr4f7778fNm/eDEuWLFE3vlRw0sHOOSnGbdzGbdzGbdzGXT0maissWLAAFixYgN7r7e2F9evX1137yle+Aueeey7s2rULZs+eDU8++SSsW7cOHn74YTj77LMBAOCWW26Bd7/73fDFL34RBgYG1J2QppyqSE0Zt3Ebt3Ebt3Ebd3Wo/BmVkZER6OrqgmnTpgEAwJYtW2DatGk1kQIAMDg4CN3d3bB161bUxoEDB2B0dLTupxEYryk54zZu4zZu4zbuVuGuVKjs378frrvuOnjf+94HU6dOBQCAoaEhmDFjRl25iRMnwvTp02FoaAi1s2rVKujt7a39zJo1q8pm19CpDyYZt3Ebt3Ebt3G3C3dlQuXgwYPwnve8B4qigFtvvTXJ1ooVK2BkZKT2s3v3brRcURSsgktRd6G6xm3cxm3cxm3cxp2/rvoZFQlKkfLb3/4WNm7cWMumAAD09/fDnj176sofOnQInnvuOejv70ft9fT0QE9PzxHX/Y6H1FuKuvPrFkVRd824jdu4jdu4jdu489fNnlEpRcpTTz0FP/7xj+G4446ruz9v3jzYu3cvbNu2rXZt48aNMDY2BnPnzlXz+Qqw/J27lqIYXT7jNm7jNm7jNm7j1nFroc6ovPDCC/D000/X3u/cuRMee+wxmD59OsycORP++q//GrZv3w73338/HD58uPbcyfTp02HSpElwyimnwEUXXQRXXXUV3HbbbXDw4EFYtmwZXHHFFepv/HR1dR2h0sr3mErE7mE2Q5yhe8Zt3MZt3MZt3Matv49BLVQeeeQReOc731l7v3z5cgAAWLx4MXz605+GH/zgBwAAcOaZZ9bV+8lPfgLnn38+AADcddddsGzZMrjgggugu7sbFi5cCGvWrFE3vhEoiiJqYI3buI3buI3buI07nVstVM4///yktA/An7Ird999t5a6KfAHuJETbtzGbdzGbdzG3WncWnTM//rxO48NRozA8q9jk2vcxm3cxm3cxm3ccdwhdIxQ8TuPDQY3OdTgSdSgcRu3cRu3cRu3ccdxh9AxQqUo+O9/U+jq6qqrh6nK8lqZLuPKGLdxG7dxG7dxGzfNrUXHCJWuriO/AcTBHUy3Hqci/VfjNm7jNm7jNm7j1nFr0TFCJQRf5UkHLHZgjdu4jdu4jdu4jTude9wIlRyDZdzGbdzGbdzGbdyNRSV/Qr9qlMpu//79R1yrYjBDn6sZt3Ebt3Ebt3Ebd5i7jNua52G6ipinZ5qM3/3udw37D8oGg8FgMBjyYvfu3XDCCSeIyralUBkbG4MdO3bAqaeeCrt37677p4eGxmF0dBRmzZplc9BE2Bw0HzYHzYfNQXOhGf+iKOD555+HgYEB6O6WPX3Slh/9dHd3w6tf/WoAAJg6daotzCbD5qD5sDloPmwOmg+bg+ZCOv69vb0qu+PmYVqDwWAwGAztBxMqBoPBYDAYWhZtK1R6enrghhtugJ6enmY3ZdzC5qD5sDloPmwOmg+bg+ai6vFvy4dpDQaDwWAwjA+0bUbFYDAYDAZD58OEisFgMBgMhpaFCRWDwWAwGAwtCxMqBoPBYDAYWhZtK1TWrl0Lr3nNa2Dy5Mkwd+5ceOihh5rdpI7Epz/96dq//y5/Tj755Nr9/fv3w9KlS+G4446DY445BhYuXAjDw8NNbHH7Y/PmzXDJJZfAwMAAdHV1wX333Vd3vygKuP7662HmzJkwZcoUGBwchKeeeqquzHPPPQeLFi2CqVOnwrRp0+DKK6+EF154oYG9aG+E5uD973//EfvioosuqitjcxCPVatWwTnnnAPHHnsszJgxAy677DLYsWNHXRmJ79m1axdcfPHF8IpXvAJmzJgBH//4x+HQoUON7ErbQjIH559//hH74IMf/GBdmRxz0JZC5Tvf+Q4sX74cbrjhBti+fTucccYZMH/+fNizZ0+zm9aReOMb3wjPPvts7eenP/1p7d4111wDP/zhD+Gee+6BTZs2wTPPPAOXX355E1vb/ti3bx+cccYZsHbtWvT+6tWrYc2aNXDbbbfB1q1b4eijj4b58+fX/ZPORYsWwRNPPAHr16+H+++/HzZv3gxLlixpVBfaHqE5AAC46KKL6vbFt771rbr7Ngfx2LRpEyxduhQefPBBWL9+PRw8eBAuvPBC2LdvX61MyPccPnwYLr74Ynj55ZfhZz/7Gdx5551wxx13wPXXX9+MLrUdJHMAAHDVVVfV7YPVq1fX7mWbg6INce655xZLly6tvT98+HAxMDBQrFq1qomt6kzccMMNxRlnnIHe27t3b3HUUUcV99xzT+3ak08+WQBAsWXLlga1sLMBAMW9995bez82Nlb09/cX//Iv/1K7tnfv3qKnp6f41re+VRRFUfzyl78sAKB4+OGHa2V+9KMfFV1dXcXvf//7hrW9U+DPQVEUxeLFi4tLL72UrGNzkBd79uwpAKDYtGlTURQy3/Pv//7vRXd3dzE0NFQrc+uttxZTp04tDhw40NgOdAD8OSiKoviLv/iL4qMf/ShZJ9cctF1G5eWXX4Zt27bB4OBg7Vp3dzcMDg7Cli1bmtiyzsVTTz0FAwMD8NrXvhYWLVoEu3btAgCAbdu2wcGDB+vm4uSTT4bZs2fbXFSEnTt3wtDQUN2Y9/b2wty5c2tjvmXLFpg2bRqcffbZtTKDg4PQ3d0NW7dubXibOxUPPPAAzJgxA97whjfAhz70IfjjH/9Yu2dzkBcjIyMAADB9+nQAkPmeLVu2wOmnnw59fX21MvPnz4fR0VF44oknGtj6zoA/ByXuuusuOP744+G0006DFStWwIsvvli7l2sO2u6fEv7hD3+Aw4cP13UcAKCvrw9+9atfNalVnYu5c+fCHXfcAW94wxvg2WefhRtvvBH+/M//HB5//HEYGhqCSZMmwbRp0+rq9PX1wdDQUHMa3OEoxxVb/+W9oaEhmDFjRt39iRMnwvTp021eMuGiiy6Cyy+/HObMmQO/+c1v4JOf/CQsWLAAtmzZAhMmTLA5yIixsTG4+uqr4bzzzoPTTjsNAEDke4aGhtB9Ut4zyIHNAQDA3/7t38KJJ54IAwMD8POf/xyuu+462LFjB3zve98DgHxz0HZCxdBYLFiwoPb7m970Jpg7dy6ceOKJ8N3vfhemTJnSxJYZDM3DFVdcUfv99NNPhze96U3wute9Dh544AG44IILmtiyzsPSpUvh8ccfr3s2ztBYUHPgPnN1+umnw8yZM+GCCy6A3/zmN/C6170uG3/bffRz/PHHw4QJE454unt4eBj6+/ub1Krxg2nTpsGf/dmfwdNPPw39/f3w8ssvw969e+vK2FxUh3JcufXf399/xIPlhw4dgueee87mpSK89rWvheOPPx6efvppALA5yIVly5bB/fffDz/5yU/ghBNOqF2X+J7+/n50n5T3DDJQc4Bh7ty5AAB1+yDHHLSdUJk0aRKcddZZsGHDhtq1sbEx2LBhA8ybN6+JLRsfeOGFF+A3v/kNzJw5E8466yw46qij6uZix44dsGvXLpuLijBnzhzo7++vG/PR0VHYunVrbcznzZsHe/fuhW3bttXKbNy4EcbGxmqOxJAXv/vd7+CPf/wjzJw5EwBsDlJRFAUsW7YM7r33Xti4cSPMmTOn7r7E98ybNw9+8Ytf1AnG9evXw9SpU+HUU09tTEfaGKE5wPDYY48BANTtgyxzEPHwb9Px7W9/u+jp6SnuuOOO4pe//GWxZMmSYtq0aXVPFhvy4GMf+1jxwAMPFDt37iz+4z/+oxgcHCyOP/74Ys+ePUVRFMUHP/jBYvbs2cXGjRuLRx55pJg3b14xb968Jre6vfH8888Xjz76aPHoo48WAFB86UtfKh599NHit7/9bVEURfGFL3yhmDZtWvH973+/+PnPf15ceumlxZw5c4qXXnqpZuOiiy4q3vzmNxdbt24tfvrTnxYnnXRS8b73va9ZXWo7cHPw/PPPF//0T/9UbNmypdi5c2fx4x//uHjLW95SnHTSScX+/ftrNmwO4vGhD32o6O3tLR544IHi2Wefrf28+OKLtTIh33Po0KHitNNOKy688MLiscceK9atW1e86lWvKlasWNGMLrUdQnPw9NNPF5/5zGeKRx55pNi5c2fx/e9/v3jta19bvOMd76jZyDUHbSlUiqIobrnllmL27NnFpEmTinPPPbd48MEHm92kjsR73/veYubMmcWkSZOKV7/61cV73/ve4umnn67df+mll4oPf/jDxStf+criFa94RfFXf/VXxbPPPtvEFrc/fvKTnxQAcMTP4sWLi6L401eUV65cWfT19RU9PT3FBRdcUOzYsaPOxh//+Mfife97X3HMMccUU6dOLT7wgQ8Uzz//fBN6057g5uDFF18sLrzwwuJVr3pVcdRRRxUnnnhicdVVVx1xULI5iAc29gBQ3H777bUyEt/z3//938WCBQuKKVOmFMcff3zxsY99rDh48GCDe9OeCM3Brl27ine84x3F9OnTi56enuL1r3998fGPf7wYGRmps5NjDrr+r0EGg8FgMBgMLYe2e0bFYDAYDAbD+IEJFYPBYDAYDC0LEyoGg8FgMBhaFiZUDAaDwWAwtCxMqBgMBoPBYGhZmFAxGAwGg8HQsjChYjAYDAaDoWVhQsVgMBgMBkPLwoSKwWAwGAyGloUJFYPBYDAYDC0LEyoGg8FgMBhaFiZUDAaDwWAwtCz+HxZZsx67eVFuAAAAAElFTkSuQmCC", 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ooQIQLxhynMZiBUPO0y7FWXUQDPWXy96k8lKc3HUNd+i0QrWLyjBVsdakoPZDFaCca077VbW9Sq5chwEKGoEoyYLGQrvuc2QfYrMaufckZjPWB6dkcXL4f00MpeYidX11pFDxnXip9KpISbm87qufzSnv+RmdKk7LmhRc7BhQ9qhTRA5uqYOv8tSVI7WaO1vVSO4UaOelmW2tGo3smya7UTWnfz/HfLu2Qr61Kj/o+n3twVPK7ftWP5b4WQ2Jv4zxwVh/qW+7Ym2PwbgQKu6rWw5DFdkNbOFQbcyVZaA+T8SyA7lT/aFTWu4xlpwgqugn1SaurAQ5M37Y3EsQm6WJOQBIsjza/qc4Sm2QST345MpyaT72aUQmNTbDEMPp28wtxrCsBjX3Vfjx0AEwxwGK4vYhEb65EwHZhcqqVavgnHPOgWOPPRZmzJgBl112GezYsaOuzP79+2Hp0qVw3HHHwTHHHAMLFy6E4eHh3E2pwVd85SBWkd2gsjnu/ZyByOd07YUWThX9zbVRUiDNvMTa1d6rKihI+pfCLeHi7OcSBzF9wOpIHG+VWQaMq2o+n1NzL4Wrmfu+RMx+CSEkKqk5TeGWfPRCxZpUUFkcVyD5nxxUgexCZdOmTbB06VJ48MEHYf369XDw4EG48MILYd++fbUy11xzDfzwhz+Ee+65BzZt2gTPPPMMXH755dnaQC0e6uSdK7shPc1XsZml6d2cSlcikKhyVNkY7hiBlCNISDlzO+2UtHLqmJc/EjtVZrVCCK05bRYkd7uryvD4SD2cxGYEfRsxAdTn1p7yUwSDZG1TnKmHNUlmTOr/YrilWRyOO7fPm5jVGgCsW7eu7v0dd9wBM2bMgG3btsE73vEOGBkZgW984xtw9913w7ve9S4AALj99tvhlFNOgQcffBDe+ta3ZmkH9RHH2NgYqUjd32MHunTirjOnJh7jTkHJ6dp121MVJ2bPHUOqTAqn2zfXtnTetPOLjS1myy/XamjGSdfnbuXxodAK45ZaLyaQpvY75ZCm2csh36YNnqGyfgyRCqgUbipu+fOa4yAcyuK48bTKj3xKVP6MysjICAAATJ8+HQAAtm3bBgcPHoTBwcFamZNPPhlmz54NW7ZsQW0cOHAARkdH635CkCpeLgvi1tFAylslp2/TLydNWcYAEw+5FzA3xlw/UvsZ49SrzCTkzI5RGTLuftVcoaCTOq4aLqq9Gq4qoMk05GiPZp/lyDBwoARDTl8mySxwnLmyGj6/WzZHFofj9G1yGau2EypjY2Nw9dVXw3nnnQennXYaAAAMDQ3BpEmTYNq0aXVl+/r6YGhoCLWzatUq6O3trf3MmjVLxI8tYvcbQOU9/3O3ErkCGrVpXe5cnJjqbURqrirRk4KqNg03X1WfvFPS2TlQNZefndKUT+Gquj4nzKoC58+qGLeq9psW1GE0FySH4ByHM0ms4A7fqZylLT9GYtmUKg6jLioVKkuXLoXHH38cvv3tbyfZWbFiBYyMjNR+du/eLa4rPXlTAx2T5eAUN5XNwYJf1dkcX9Dk4qTscCfpWHHD9UXC6b6XcGG/5zjNUHzSAOeOg2Y8W0FQhpCjjaHTfy64Y88576pPo1KRknLy9vmow0pqEAtxSk/6sZyhvlSd1aCyOBynlFuSvZGIIw1nDLI/o1Ji2bJlcP/998PmzZvhhBNOqF3v7++Hl19+Gfbu3VuXVRkeHob+/n7UVk9PD/T09ES3pXTeJUo16KrErq6u2pPL/gSUTkfL6db3+f0FlYOTgr/RuHJue2JOjFjwl9qJ5Xah5czF7dfz11xu7lzrQ8IdO6Yx8NdgLt6QjUYKtmZmUhqFZnHmzh6H+pFyyJJySgVDSBiHfL8PN5viltP+Bdocvip7RqUoCli2bBnce++9sHHjRpgzZ07d/bPOOguOOuoo2LBhQ+3ajh07YNeuXTBv3jw1V2iBcEpUmlUp60g5fXuYDaxcjmyOa9O3RfU1FKBiwY0xV14K7jTVKE6fqyzTKKSeVlsRuR1/abNZaMYcScSKpj3cnEgzwm7GLycnd8rXQpK9kWY1MNshTmmGROvnNJyuLWncxNpIccbMUfaMytKlS+Huu++G73//+3DsscfWnjvp7e2FKVOmQG9vL1x55ZWwfPlymD59OkydOhU+8pGPwLx587J948cHtYnKDIr/jErOLAe2oQCgltHh2pjCWdbzFyOWzfE5Y0FlVUpOt10cZ6pDd/uekgnTcrr1NQ45ljslixPD7a+d3MEfa0MuHn+cSnRidiMUSLF25QIX/HJx+76aCoA5xWEocLvl3FffBgdpJgX7S+sh+xrxhImyklf6d8Ek3BpkFyq33norAACcf/75dddvv/12eP/73w8AAF/+8pehu7sbFi5cCAcOHID58+fDV7/61WhOf8JKuE6OEx9c6owSKxQnxY1tYEo0UOVCnBQ/Ztff6KGFLF1slFiRlEvhDIlKny9GxIQ4fbt+mdjMS0jYccgxf5i9VkCKIC3rU5AEFexAEIMYgSqxVdVBwLdVRfZGypdLpEjGSiIA/XJSTk6kaLIaKZwUL5cJkYxziFOC7EJF0pDJkyfD2rVrYe3atVn4pGrRPdW7993sRlfXnz6TczMuMZkVjBvLbpT33FfMRkpmBbPHBfFUYKLA58wNSiBV3U9sfHNlOSRIFVwpqLpvEn73VVOnGdytkL1ptEjJmdWggAXtRvSTEkhaNEqkcJwur/vtopLLz+K45VM4pajsYdpGQpNxoILo2NgYTJgwoa5c+YM9PKTldAMKll1pVGbF7a8kg4Rdj3UCqcJBE5Sp03Zs5ijEjWXPQk5cOqYS7lxzQrVHKnK1axNrj18ml/PnymD9zRnsNE6a4g6d4Cmx7t7TcnOc1BqJDUihMZdmbzS2Q/W57IJUpHBjGiNSML4QtyST4h7W3bKxIiVHJqVEx/xTQulAcOrYFyT+t4JiOUO8mgUYM+GS0wDXT86WFC6nvxmlNrXBL4e40taPOWWl3OdErwS5TmPtBkmASgG2DjU+KoWv5MrhK6R1UtdhqDzmMzTZhdh+SQSDW1bDzfkJaSYl5D8l8cO143/DJ6a/PnL4i44RKgD1DkGqlN26mFgJBdQYTn+TaRRuDGfIBlaegtQBaoUZNbapzlbDF4Ocp+5YSIJE7FhKbeQQ1LmgOelWMSYpIqVK5FzzoT7GCmAukPrluPKxXJwdzmdqOak14/9RN7+ue9jD2qjhdNuOjXFKJiX3uu8ooQIgG5hQYOSUa2pmheIMPU2dEghCjrq0JV38Gt7c46XhdvmkDi1mg1GOVIuUzR3rsHNwx/BxbQhd06DRQjJmvefcD1phruWWHCgkgSyGG7Pht03KHYLvC7nMghaUDY1g0HJrRUpICEqFGVY3Bm39jIqbnXBRKk4/APt1/Tpl+fL5DVfdhoSChNO/7m9Y94/Q+eV9+xpO3w7WB6yfGJd/T7vwQidySbAKjS3WNkyMYWPqlvX7rAV28uH6FxKKoSDo81FrBrOlFampY9Ms26X9Kmz4Y4+VyxHYfHspY6U5AFE+ghIpGh/IcWqCqAScX3M5KV6sjRo+rC42j6lZDYrTtRESRphvkojeEKcWHSFUAGjh4N6jnDM1wKFgHOLE+KiA779SToESKxSnz031AQuqWHuw+iGH1NX1///qLwcumGvg26HayImVEpqgiTkaag3k4MLWDCZWKC6szVw7U0WpdCxCgpsSlhw0XJJx43j8spRIlkAiHNyysQcIKZfED+QSmdKgJi0nmf9mihSJIJMEe61Icf0lJwQpXsl+dLnc52Ck6AihUgZCTjhg70sb5as/QW5mxS3rc1CclCjxbbkODSuTQ6yU191+uvf8r2hrTj0cp98Xl9ttE1YuJyjO3GKF4nWRg0szPprAGLIfal+uIJyjTmgNSw8gWq4QcouUHHtFK1L8fZwbWFDEOKXjHooNLqfvg6g/Gd8pIsXvpy94OQEqFSlUbJGi7YVK+TdPqI3rT7T0lEsJgRixQtXDQJXXihW/TiiAlIsTEw2uzVC7sba713zBQJXjOGNPjRxnrBhzbbhto9oqFUa+Tal40Qq90FiG1gS2xlwxHCO6sLXCtRFDThGiqSdx3Klc/lpy63Dz5ZbT7p0c4yktiwVRyo40aGMcFKdvI1Xka0RKLK9UMPg/Ph/Fy8U9qp2SfkrR1kKlBLawqQXOiRW3nPvKZVa6uvJnc3w1S51oOLGC9d3nxdpcFEV0ZsVvI3Wfcq6aYC4BZodycqEAL91knHON7Z9mTH2uULtSuTlxlOKYqkDKWuIgObzkGgvKF2A8oYOAlI8K3hhvjJjH+LAg6tfV7gspp+v3ufISaESKO64uNxUDKA6K0/frbj+pOeWEFMZF1U1d/x3zrR//b56EArZUbVNKsxQuHKdfT6pU3bpYeW4B+AErtJCwuthCl25OyUlAIn40XKF+Su1JuKj3GCdXLnX+MDtc8OLmm0PZBsme8tsUi1RBIXHmbjn3oBDDRQU69z7VLr+NEr9E9U8SxLFDQq7xDvmyVC6NSMG4JP7UL0v5QgmnRqRw7fbrU+3E6vqc/pc1uPhGQSNSSk6svgZtnVHxFa/UQbmnWf8E4ipN/xXLrLg/3ARSnG67fYdZKmtKnFCcPgfG6drBNldRpGVWKGCnHJ8Tc3w5OKnx8teA9BSmAXX69NuVGuR9+H1z2yJx9pQ9boz8PsVyUHYlCPFzQlHDkXu+OC73FYAOTlo7obIun/uqtadtV+n/fE6qfVIO9z0mMClOjVgPHfakYiEkTjEujJPqpzvGVFtzcJbAPn2QoK0zKpSC5AbKreu+YpAsJoA82RwsoFB9LMtwnH5bQwtL0k7NSSD2ZOD/nssRYtzc6YMCtg60TlRzMgyhDKza05nEbmp5rRDy+8GtTQqc+JYiZcxyBFSqDVLhrl2/nA1u/CX9CgVwiis0f5yPlfghzm9inFK/HhuTMJHC9TVVMHBtpZCLU/INUB9tnVFxO41lOUJBxT35YQ7Sr+Pa6eoKP8mMTSjFWdrB6pb9dDmxOhSnz+2Dc+5FocusSE+kFKebQfLLdnXJvuasAXeCkXJx/XXXUcnnzz82FlJIxYA/nqF1kgvSE6gG2H7NjdA6ppywtHwInGDjgmkOUKn62PXJiRvqq6oxgRSzQbXJHVM3w4DVk4gUCiGBEvpjbjlFittPTDCEhBTG6bYTq++Pbaz/7gihIgn8ZXlJ4PCB1XHrUnxuWaodWJupOhgn1U/sfaif0nbmECuSkwwWyLkgyzm1kKOnBFzIEWFCwK/PrcOcQZYTPCGHrw2ynLjFnGxMsOPGh+KKDapcf9z7VDs4m1SbYxBau6nCkKvPzW8KFzZ3VIZB47soTiwYx65PKRcVGziBm1OkhDi5cY0VKRhnSNBTaGuhAlCv2LABc1/dQaLEilvHrefe9zmpLIeUkxMefh0/40Bt4BiBRHGWr1xmJUYAlrYoYeW3C5uLGGBt9ftXvnZ15c/ilJz++KT2i+Mq7WsRU0cjwHNwY2sk1aYGqSJAWidWhElBZVKw9Z86jpzfooJZiFMTUN1yXCaF4o0VKZwYi+X0++dec8tymRSMkxLtVP/8fuYQKCXaXqgA8IvFfZXWwyaFEivl71zgd8toxEroZCzhxOrHcGJ1NGKFa6cGXCDyAzJ2AnSvYQIJa1uKgMAchs/HzSlVlyrL1aUcCla+ioDucoTWLnbP3Xu52kfZ4taCW8Z99e9znBhiTrUaXteWdPwlgsE/kEmROoch/+hyYKLBLa8Z11iR4tbnxitFpHDzKBVGnEDB+seJzRwiBaDNhQqm4MqBo/7mSQoXJVawLAcnAkJKleqf/zuXBfAXiEYgaTgxEZDisPwTR/kH/dzTHtVG6YnLLU/NhT8PXV1pmZWQCPQ5Uza2hIsqW6VAoTgoUS+tn7Mt3PXcIlLarpwiBSuPPScSCmx+WS23b4d6hiF02AxxYSd+12+77yWcsYIhlpObe6x/bh99XxozttQ+CIkU7tmbmLlsa6GCIXTKSdlonFih7LsLR3KS9euFgo705IcFZU6saDi5dvj9S+HEymP3NFmBlKCOcWL2c3NJoOFKge/8c3CltI86vaUeUiguTfkUPilXjqxGar+o/RcS5CkZBsw2JlKo+jGcflkqeMdwSspSIsXn5ASnZq1KxFjOLIqLthYqvoIsUSo6X/n5k4MFbwknJlbKa+4P9ZcAfW6JgKD6Wb5yGSQJF1YHGxeME+OiFqpUYEkzHeUrlu2QcFEiDuPz38dsRE7k+vZTxQoFydqqkisXT2qQbkUuzvn7ZWIFUehAwa3L2CDMfbsHqyc59EiDuF9Wk9WQHCglgijEKekfFr8wweD/pdlUkYKJIX+MQiKlLO//wTkp2lqoAPAnR6o89V7qfCQBrnyPBQT3HpUVcO1JTq2SYCzpp1uW66dEbGi4/HpYWb+cOy7cGHJtDXH744HZ9dsX6ksuUCdXSTuw8cDGUNovykFjNiVjg/UtFCTL3ynn768D6cGE4+PahXE3CpIgF6oT2jN+vZDP9cc9JoiGxpAK3qG2SkRKiCtWxJV1Q/f9V6yfUsGg8U+hNRPi9O3EoCOEinui9p1WudmwH9eGmyHgBhvjp8QK9jdB3Da7CzjFkVH9dPm4NmP2QnXctmP/GJIL6iEunw9zoNwzK1ouClxAColMLTAh5nPlBmYzNxfXLw4p88TZw+ZQ0oaUMZH0JRQEcoAKOCliWyJOMB+I+etYkSIJ3hQnxScVXZQokgRujp/i9PmweBcSKRL4AkwiiCh/AkBn1KRoe6FSggscUoXnKn6Jw+YCYojLv8YFUX8zUyef0MLU9M8/0WJ1sFNqSv8kAToXF1UPa5NETFHg2iIRVBJBpDnBaE9Zob3EOT9s3YYcLQZOAGNB1j8IcO2XcHEnYk2QC3FKhJF0vENcVF1sL0oFG3Ug0wiPGNGg4ZIcPkLIJVL89UXdd7m4/kl4NaJZw8XNpUYgUegooeI6Q/+ZhXIw3QmnJr7MEPj1fT7/d0zdYnzY5qCcLtVX6qQqEStu/RinigWXopA9J5PjdOiOV87+SUQgJaakTg7j9PkkZXOMo2srxmGncMRwaQJeavs185LDvs9B7e8UrpBwlQoHLRflL3LA9afUnEkyKdJ+SgVD6BuCWsGAcWoFg7Q9FBfFiQGLBSnoGKFSIhQ4pBOJndC5ujlOu5qgRwVVDVeoXuieW8ZvOxb4JGMlDWYhRy4dSwknVQbjojj88qEyvjCSrkeuHxQfN2dVIDSeoftlmZT6HDgnTZWJsY/tQc0elopaqj5lSyMIMY5QEOfqajglIkUqjKR7SZrVcG1q58Itk5rVkHD6XBrOmLbHoOOECsCRp3iAtGyHj9AEYUGH4qPanJL18AMstcHc7EPqScfnLAr6ORK/jn9NIlb837lvIFFcWk6qrDuOIS4KXH2MTypWYoSmz5tTsFBcLqRBNbeQCp0kc3G4rz4XJhhiHb4k8FB1JGX9ev74uXVi/guyJBBidX2ulLkLcZX2KZESy+W+ujwYn1b8cXwYp4RPKnZi0ZFCBUDmzKUTHDr9uWVCATHEVV7zHTpXlwv4ktM8xsmBckZUm6ngl0MIhgIf1VYtJ1UGE7YhgUOdtDTQzBdX3wclxFIcL8WBrU1uvVJCNYdTlArpFL5cTlwyF6Fg5/8eK1DKuqFAjtnSjLlfhxOVWk4JFwWNSOHsSAO9VKRQnNThWMrF8WF9yCXwO1aoAOApbSyAlGW47ENpz6/rT0bIsVJc1ILSnNT9toQ4KS4Npw+M0+Uof0/h4vqJfQOJqhcLV2j4XNT8xwYnztHmECscl182l9MpuUJzlBI8NWiEGJKeknOA8l8pp32OC0PJofmmTYiDC6ya4J3KhfGliNqQ0KP4qPVJtZ3y+z5PTP8wzpzrLO07QwJ84QtfgK6uLrj66qtr1/bv3w9Lly6F4447Do455hhYuHAhDA8PV8LvK/DYhecHXU5sVKlUKVGTe2NJT3+aMc3JFXL4Pq+Uw+fy+4ednKi1EhvcOAciKeu3lXJsXECj5sv/4dZySPhL9lqoLMVDtSt0QJD2H2uXdB9jfNKyIXDr1n+l1oNmj7iv1FhQIkXClUuk5OLC+CS+lPLZEr+kiRdYHzAurm0aLmkfUlGpUHn44YfhX//1X+FNb3pT3fVrrrkGfvjDH8I999wDmzZtgmeeeQYuv/zyytohcU4Af5qgsbGxup+Q4wmJFC6w+lwcX3d3d91f9eMWRWiDhfhyLkCfMxTUc3CFAmA5jqlc2KtrM1WscEGRK6/llQTQVPElbUdKP1L4SsQIQs6uRqSl9pnjwl5TOKg9pBFuEi6Xk/OhVXP5fCFOiX8ux5H7q72SGCGJPZK1pYl/jdynABUKlRdeeAEWLVoEX//61+GVr3xl7frIyAh84xvfgC996Uvwrne9C8466yy4/fbb4Wc/+xk8+OCDVTWnBunAhlQspkolP1IeyckspJSpfmG8Ei6/79LFGXsaoOyEuHxOv90SLgkwx89xYvVD7QzVwbIEEg6uT9xpuGxflajaPsXBrR0KEmFc/mhPqhKOUB2sb7GgAiDWTglXDl+gFUTYPpH4AoxL0nbOV0u5tAcULvaE1pZkLBslTlxUJlSWLl0KF198MQwODtZd37ZtGxw8eLDu+sknnwyzZ8+GLVu2VNWcOkhPBZqMh2s3RqyU9g8fPgyHDx8OZiD8tmuCMNW/EFfM/2mQbjqKK2YzSLlyiBWM04ffn5x8GHI5EK2AzYkq7EqDRE4uzH4ODnctUftSG8RDfD4vxRXLKfUBmkAe4pNwYX5SKrAwHy3hCsUB15423nB9C/3X4xi/nGP9VfIw7be//W3Yvn07PPzww0fcGxoagkmTJsG0adPqrvf19cHQ0BBq78CBA3DgwIHa+9HR0eQ2liccX1360Cj1srx0En3bZV3pKdbvA8dN9SOWy2+v2wYK0sDq2tSMiWT+OC63T9L6Wq5Qe7Hy1AmOsi9d19w8S8pTZTleDthcS2xoeKiALi0bKo8JYGyfYzxSvyEJQD5PObahPrlt8ec8JIZShLPkkOX2S3P6pzhC7dMIIar9qVyc36PWG9Zn3x7GE1rXoT64fdGUlyC7UNm9ezd89KMfhfXr18PkyZOz2Fy1ahXceOONWWy5kDotdxJDijU0KaUDoJyxu3AoLm4R+A6H6hvlxKRclJCQBi/McVJOhdu0EoREDrexUzhKe1qBokVIKHLOUSJWMEFaFaSiNycfxiUVKRKnXb7m7g+2rqggp503jRjC/JmGj/KlIa4UkaLhwubOt83ZTeXC+sAJlNC8aYVeaC1Q7czpN7J/9LNt2zbYs2cPvOUtb4GJEyfCxIkTYdOmTbBmzRqYOHEi9PX1wcsvvwx79+6tqzc8PAz9/f2ozRUrVsDIyEjtZ/fu3XX3Yx0Attgkjif0g9l0f/x0oyR1K13I2CLG+sY5uaIosqQ4/d8l/QtxhYQiBa5fIYGmBefEsX5RbZU4Ekp8uhySOaDqSdqmnZNQeSow5OAIjW2o3yEuv44Gmr3A1Y3hxjio8Q75CKqN3P7N4SMkvkjC5fZLKlIkPjfUL25NUjGD2xeaWMWNaarISK0PUEFG5YILLoBf/OIXddc+8IEPwMknnwzXXXcdzJo1C4466ijYsGEDLFy4EAAAduzYAbt27YJ58+ahNnt6eqCnp4fkjB0IagGWKhArU14rVSK2OH0FibXP/XsfXLAJcfn2XYfs2sacKMaNBR9KSGHj5faBaotf1g8k2OaQ/P+lECgngF1LcfQll+80/HnCyqTw+cD4Jc5Jar8s785dCrTBWQpfpGg4pOOVax45Dup96r6QcPq2JYFOajskDDUHGf96SJy4fL5AkXD5vorjo/ojFcEhzlQuqn+xyCFQSmQXKsceeyycdtppddeOPvpoOO6442rXr7zySli+fDlMnz4dpk6dCh/5yEdg3rx58Na3vjV3c9TQBhAuAIQ2pMs1NjZWe6U4MS6svRiXX963i3G5v7scXHCXLE6KP9QPKvBK5iw2QKcEIKwNof647yWCl2oXt9Zi++GvO4wzdpx9Pkm5XMJLs3Yx21yg0LaJC7pYeeqgoYF0TriAJ/F12CvGQ/FR7Q6NmYQL48T4MLGg2aOSfrl2yq8u+//kj5szap4ke0XSl2agKX+Z9stf/jJ0d3fDwoUL4cCBAzB//nz46le/2oymoKCcPACeaseCJaaEMY6yXpkx8DMt2GZyucofysm5p8nQ4qauHT58WMXl15cEey6oc+PnlsUcZ0iEcXZDQiIErA3uvHH98a9xoJw4JnRSxYr7nltbGIe0PxoHKeXB9q37PpdIkQTWkE1J+VhRouWKDbDYNcoXulya0z9lUyIgY/pFCZWcXBgHF0d8PoojNF8SAdRMNESoPPDAA3XvJ0+eDGvXroW1a9c2gj4JvnOnnDxXhgpOLofL5Z6mQxkW177fXowj1E/Kiefk8ttPXfOFGzd+WDuk84aVxTgwu9h9ro9uPd85+NdDzoVz4tL+hPoQChTc2GqcnqQvFKQCXNoX37Zknl37kuDKlaOCLxbAY8SgJCjlDnZSrtLfSflCot/ncfkk/aPEiUR0cVxUn9zMic/HcXFro91FCkCH/6+fXMAcvibolb9j6TssaLmLG3uWBRNBLpff3tBGxgIN5uDdtkq4YgWL+778SIxqPxeMS1taseJyxIgfDn69kHhNQUiscDyafnGBnNszrcbhlteuY6lIcSGdE79/MVy+LW59uzxS0SUJ4BIujo/i0ojHGC5MMHCiXipSuP5Q/cLigHuY1YjlGF/dLJhQEULr0LFAVgZd6QnRFy1+gKScsh9wqZMixutzcYFdwuWfHiVOJcRFcfj1NAEmVJ8Sd5J1ERK51NhwzjAEiRPW1JP00xfMbj13DEJBIjR3PoffPu5EGQpsPjQnWZ8r1X4JP8sg4ZD4Fxd+cKW4qICtCeQ+H8Ul5XR/pzhC/XLtYKKL61eIK8ThXpPwUH2RrEGJoGxFmFCJgDSA+MIBc7CuPeykTYkVCj5n+RPidt9zIsh9j/WL22gSkUaNIybUQqc3SthQPD4XZ5fqI8YRcjq+w+XajM0/tyZCgYYrqwU3N6F169bXOlCMJ+S0MfHIzTlWH3uVtNG/xs2zpC+YXckYunNCBVqurt/2UJB17fucHI9UoPjz6f9wXJhgCB2GsP5IBRcmiDif6bZd0y+Mm+tPq8KEihC+ow0pa+46JSIoZ+mLFqkT80WL/7tkI2KcXH+xvrm2sKBCBbEQF8bpt919xcQOZTcm8GD1XG6pbSko0UT1R7qGfdsx8NslsRXrPP31LQEn2CUCVBP8QtdCHBSPdP+G7Lu2Q4E2JBw4Luz3UJslB6CQ2JL0ye8PJ/a4MYsRKVS/AOCIZxTHm0Ap0fZChQrCVBnsOneacsv6CJ0cJNd94VClWHH/S2cMV6gf/nj6GxLj869LudzfJU7aF05+PY1YkQZ4v5x0TUg4ynpYH6igLelzqA1csAyVpURSrLhw+ysJ5hKbGLj2SeYu9J6y6+9vCtxpXMJR/u6+UhxUwOWEuFbYhV592/5rlcIB45HOj0R0hbjc9+XvIR8u4QohNoZi8Vm63120vVBJOVWkTiLleKky/nVskiWLmQr2/qaRBHif2+fwFxYmlEIcbr8osYLZ5gIQ1T9KGHH95JxbTDCnrmv7FRLQfpCg5gqzL7VNtTEEipcbFw7S/RXTVoxDs+4oG/57SR9Sg3kImoBO+SRJXygBQUEiGKi5jhFcof5J+0RxcP2SiHtqfkJCPLdAoXgoPq5eSlvaXqhIlFwOexSw4EDZ5a77vFRg9bkx4cBt6JDwwPpBCQmuf/7GcjdsaSN0EpAGIU70+WLF58HKc/3RgFsLlGjDhIzUGXBrCOsLNh4hISHZG1RwovostUvxuA+bura0+5jjoAK59CDBIbTmuGDEBfSQCObEg0Q4+BwaEURxhQK5a1/SD5cjtl9Y37ByIQEk7Ze2bxQ3dl/jx6qKoTE2216oSJRcDnsUJKpaUr685wcmavNySpUTFFR7uADvclDCyH0v5fEDtkS1Y86P45SeBCSCz7VLiQ1ObLr95OYHc5KS4EetA84u1vdQvzBwwi7VNmXTf6UEm4aDsu2+avZiiKP8nRJC1DVuzXE8/jWKIxRgqXWLBXRs3EKBlbNLXcPg9kP6112pece4/D5RYoXi8PuoEXhYX0LjqEGjYqgEbS9UMGhOf24d34liDo+zjQWeWMFCtc/lwRymRKRQDiQUUPw+cUGdC8BFceTzMlQdSqRg/fOFBidSqPGj6lGOhbNF9QXjxDiovmo5Q8GKmvcYQUE5dcnaku4VjZDQOvCQbbcvpV1p4Atx+La5PkiFY6zYkogULtj6Zan+YIGc81vlPT+LJuGgRAPGzc2Rz+G+16wHSnyF1oPfP5/L3fOuP8TaEGpjlTFUg44UKjGKzp/wUKDDEFL22jp+wOXUukRQuNc550kFFI1okQRg93fOiWD9Dokxv0++Lcw+1R/3PdZ2KahAg/UHcxT+HFH98dtLCQOJmOQCZ4zDcdsvESuhIB8Dqv2aIMgFJW5dYsEIa5s06Pn9iAm0lEihePzASrUF4+ACrESgSHysdgwlYxZapxqOVDEU4pP6J25NVR1DtehIoeJDMmCUI/c3EuVgpdAIFkkwLm1KHF8J9w/PUW3BxEpI3WPtofqA2faDM8UVao/L5Qadso6bzeH64jq5kKOUzhHloCXzTPFxziy0LkIcErEaw5Gyh6hgGKrjB2FMGEr6InHw1JrnRIrEpmtL88rZlogTzCb27z24cZIEWartoeDLiROJyIsRKZwfwdrpz79GdEvHToKYOJY7hmoxLoSKZGBCitm9lkMlShwDdbr0Fxp1MqLslBvM3ThceyTioORxAzt3ipD0SyqQfE4qQPsOVnLKc7n8gB1yqJwNrk++cKPs+msFGzfMvv+71GFia4XioNZuyL7kmkQsS+xLBQO1LijRRgkgTqRQAhkDZRu7x/VDIhg426G1HuoLJ4J8n4DZpnhC4xfi9Dnca5S/pfrj29eIE5eDW4M5hK+0jqZM7D7F0HFCJUYtaupJgroGkk3McVEOKSQoynqUs6W4fM6QaKH6QQUNrVjxOX0bEm6/LtU3rl2hICgVEhi3tD+YbWmgD8HnwO5VYVtqXyr8JWKFcrgS8cCJFAoa4eD/LhUPGpFCCXBpkM0lGCRixecK8XF+h+oH9l4rJENcFLdmTWggiWNVxlAtOk6oxKhFrp4/6JzdWLUoqUs5cLd91OYNLRztYnTrSU8hbl3f6YWCPbYBQv3x+xwKgNw4Uhw+F+eI/I/bNKcPTERhYxUSWSGeUBCnAq6UiztxSoI5tQ8pHt8e9eyJb0syNxSXVjCE7Je2uLnRihOpbU2A1eydFNvU7xIu6j1lQxNsKd/mv0qFdmwc49qrjWPNiKEUOk6o5EauhZLCJwnkIZuaMtwpi7pGCSJ/gZZl3M+3pSrcFwVSsUKNH2abA+dkJO3SnKQ4PkqEccLLb19IsFDiy+8DZZMK+JKgwUF70iw5Je332x1aj9KATtnTCDrpuMUEPIlfaYZIwfZC+ep/1Zhqp8ZHUtelY+8L7tC+9Hm53zFfq0Gj41hubhMqLQo3aPgBx73OCQhqU2hPpj43Bo2AADjS0VCnaqp/GmHhtysUCPx+Y/ZC9zgOzL7/YB4WcLB+YGPBneCkJ0dfVHJrjVtD0gDJzSc1Ftg9zmbIfujvbFD9x07Tfn1MCLnXQwGWe3A1tK+xNmOvVB9dSH1HyJ52rrViyOXQihROYGt8B8cVEq8uUsV9J6AjhQoVLLGTqET9a+pIuaXAuKWioKzD2cYCHSaMsPcYl7RdVHAMfTXU5dLaxmz44ytxNJJ++gGIss2Nv0T0SZyWL24kbcfWGtcOKTBbHA8XmFJ5OR5NoPd/D7WDg2+T4+BES8g+tS6x8aeCaYrvwexhNqV/pI3iThEpIfGYyiHtk9TvcqgqjsVya9GRQiUUPADCDru8rjkhSrlj4bcXm/yQYwsFWqnQkEISbLFXtz73KgE1hyERgfFgYxj6mmIIFAdA/Te0yrZzp1FuvMt7ZYZE066QUw3NG5U54NY0x1HOGWaX4qDmifILPrD1Qgkr6r0/pr4wx/5bLsYTgxTbri/k1pcU1L7X+ttYfqktSjhyY4cJr5S4kHI4rDKOVcWNoeOESsgRutfdV7+M9FQbw50CbkFITr9YHay92tMi5ZCp9nCnKEnbpe3gBJDbNs34acabE0Fce9zrVHnsvvR0I22TxrZbJxTstXZDNkLjlhoQ3PvY2GuzC+X4hE7tknZJy1D2KWB7R7qfyjKhvaoRKpIxoeZdsr8ovxcrGkN9o3g1aGYcq4KbQscJFWxAJIOUonhTuWOALQJ3QfmnZsq5u5tEezqUgApM1OKlOEs7/vMSGtHClcNO9dIAoXVcmA3q2qFDh9j6XDChbGv+/DjFgcEdC+lfd/V/l9iWjLnWtvuKPQ/CcVDXsKCHjYtU8GjGSAPJPtfupZDt8pV6KJZDbJZJKvpDBw8MfvupfmG+JVakSNoRui4t26gYSqGjhEooBdXu3NQCorIikjZoN0nqydTPRHCihaqXs72xdkvEZJuouQllCkLt1AZk/7pkrDjbvpiQwF2/3Br1RUrOdRs6OYfapxVZGDcHqQiNzZJwfNo60jVK9YlCTHZDajdmHDGOkODTHCaotnZCHItBRwmVHIoudkKayR3ilTo3icDw7UnsYoE5Rqy4tqRBmXrP2aSEA+ckqcxR6JovNEtbIUeMZQywMeXaTQV86rSrPZFifQidqP3xCWU7ONvSjJBvk8uo+Jkg/5Ub+9h59e+570PiFqsbGpfQfIfajdlMgVSkYAe2kF3JXtaIkSoxHuNYiY4SKjnQTNUYwy0NkGVZSjRIylN8XNswgcOJFb8PnNMI8VLtCNnRnPCo9qfadX/HxiA0ZxLnTn08U9rw/9UA116u3ZyYcOeKW7flq8Y2F5xdYOKHG1/3AWduHftj4tul5lWanXDrhMq4r+XvIaEiRYodf0xSDwnSvYhxUNf8tsWOVxUBnEK7xbEQTKi0IWIDou9EQ2Ihlt8vS2VgKKfut9n/nXMUmN2QGAo5Hv+kXZaRfJU6FHzd95ITt39Pcmrk3kvvAaR/7CCxyyEnB9eXUF1/HXBlY0AdPkJC2xc6flkqi5Xyx9M0WSyJPcme4kQkdz8Gmv5J2ik9LBnq0ZFCRaJcq1K3VXJLNqDUIVMihXKAmjZgdTBHq3EoXDu58eTqUb/HtIHrE3ZK5AK9VnykXpPc19jSZo5ikMIRWuP+dckpO9e1En5mhQOXgeHWuyRbg7WHKqcJ2lSGRLouQkJZ66ck/k97sAmtnRyCqh3jWAw6UqhIg067cWOpYs17rB3uYtOeDvzrmn5JHBPmPKi/AaIRcTHtxNoUypZwaWqq/9psFZWJ4cZX2m7Jsxuh07uER5pViznNcuMrzTBIs2Khtro/EmDrhtvjmj+ORu2hkBhxf5cEYc5v+OtW6hO0kPgo6bxo+TGxEvLjWvtVoJkxFENHChUJNKfyZiJFdcdkYCg7fjbBrS/h0Z7ufT7/hKmZqxRhIj3NuuWpsfJtSrncfoeCfOwJ1a+DBRFKeGEZt1YRKqFrAEeK35g/iBcClo0LCd6SA/NTsad/d6wlgkOzd6R/VdpvByfksXqxfjokqnMdIFPqa9vQzDjWSO5xK1S02YdmIOcG8KE51VFOVmKLCsahkz4X6DFInRAnIlJPPrEnTO0GTxUnoTlxhYnEdqwY0tiIydxI2oJlFf3MR2wmjhMnOZx6qi1qLkK+0d070jUYs0a4utSccOKNq6+dY6kf0yL1ENbIONZI7kqEyu9//3u47rrr4Ec/+hG8+OKL8PrXvx5uv/12OPvsswHgT5Nxww03wNe//nXYu3cvnHfeeXDrrbfCSSedlIU/p7KjbMUGUAlfrE3NBufGSCIuQqcx6gQequPax05aFLDUNOeEQtkOzD6WLQj1xT8xYnaw9mFjRoktzVhzffbHm7rO9TcE35bkVA9Ar1vp/qLKUeuGW0+cXU5QceInxulr1mHoHrfusWtcFkSzbigeidjGDkwh34/xaA9gmn5xbZD6QQ1yxaVGxFANsguV//3f/4XzzjsP3vnOd8KPfvQjeNWrXgVPPfUUvPKVr6yVWb16NaxZswbuvPNOmDNnDqxcuRLmz58Pv/zlL2Hy5MnJbcip7KpWqDELnaqrscVlFGLalHrKp+xp2+YHBPe6/z7kEFJPXVz7JOAcYowwcN9TQioGKafp0DzlsJVj3sr6OQRGqF5MO/3gJ5lTzV7lDhFYHV9Ah9qdejoP7VXOXiizxB1UJYedlL6FbFWFVouh2YXKTTfdBLNmzYLbb7+9dm3OnDm134uigJtvvhk+9alPwaWXXgoAAN/85jehr68P7rvvPrjiiivEXDmcbCxieWMWNlde68jd07wmoyBpD3eS0jhOrLwmMGMnYu0Yc6cz7oQgPWFL20EBa4M086c9EVa1Hn3bkvZrT+YaAaAdC0mGBbObcsLUZsy0mRaJ2KT8rqQMVSe3cMMyJZTP46DJKFH1QyKPAuazQn6sWfFQg5g2ZhcqP/jBD2D+/PnwN3/zN7Bp0yZ49atfDR/+8IfhqquuAgCAnTt3wtDQEAwODtbq9Pb2wty5c2HLli2oUDlw4AAcOHCg9n50dDRrm7VBNMW2xJFIUo4pbYqpH2pTzGmaK68RoVQ6V1KHSs2HODg7vj3/JC45mWvsc3Y0Tj5kQ2IrRvjEZJhiuTi7OTKM0gyWJpshteP/SO1zwTNkj0LKIchf136g5/his2o5fGFsfU2bch50tHYalc3BkF2o/Nd//RfceuutsHz5cvjkJz8JDz/8MPzjP/4jTJo0CRYvXgxDQ0MAANDX11dXr6+vr3bPx6pVq+DGG2/M2s5WUZ7aQCLZtFp7nB0tR0pGJsaGVli49yhR4V7z7/t2qHKUUHG/QhoSGlS7JG3G3mP2qXHRiBWNUMzt7LgAKzltciJFml2g6mF2uMDv38PaxwkS7scvg7UZOyRIxA+GkOCSIEdQzum/JAcgLXL63qqRM/ZokV2ojI2Nwdlnnw2f//znAQDgzW9+Mzz++ONw2223weLFi6NsrlixApYvX157Pzo6CrNmzcrS3mZDM+H+RokJBpxKx2xL25dyCsfaGHJSKZkC/7UUD9TfodAKkq6uLuju7haXw7jL+u59TgCFrknfY22RjiNVzr+eG9JMiDTLUL6n/rS+NKshKVP+lFxjY2N17/22lPdDP9JyVBspbs04cggdTmJFgURchupL1xOA3tdi17UxYDwiu1CZOXMmnHrqqXXXTjnlFPi3f/s3AADo7+8HAIDh4WGYOXNmrczw8DCceeaZqM2enh7o6ek54jp38qMmlDtl5ToFuuVDizJkG7MVEiuSMZGIEk7ASMtJhBWGkNCJEVChQIsFbfd3KhuCXU/5cW1KBQ/Hj93D+iEdB06ohERM1eCCpyTAUlkF95pUmEjvUYJFWkcqSDCb/nXpOITGL4RQEI8VPZJ519QN2QSgY46Uj4sXXH3svcZWyDZ2nYufWDu04o5CdqFy3nnnwY4dO+qu/frXv4YTTzwRAP70YG1/fz9s2LChJkxGR0dh69at8KEPfUjF5QuV2ADO1U8RFtx7iV2pgND0i6sfE5y0r6l9o65hiB17qv9cUA+Vo/76qVSISIWGVPxgbaL6l+O1UZAGVc1rKMMgERX+/VB5jZDB3ku4uev+79x7SYDGwAVyjWjg6sW+astq3mv7pimrnQutKNNydHXpv8iAIbtQueaaa+Btb3sbfP7zn4f3vOc98NBDD8HXvvY1+NrXvlZr5NVXXw2f/exn4aSTTqp9PXlgYAAuu+yyrG2hBiRGhGgFSuh+UYT/qh81we5iKhcCpaS5hSLtv0TASH+PeR8DakyocZIgND5YGan4S7mmtYmVCbWR45L+3ghQDlYSgELXyt+lwZ/jCpXV2KSucf2gykgg2Ve59nDse+ncU9ckPBJBoamj5QfgMxcp9yXzh809x5WC7ELlnHPOgXvvvRdWrFgBn/nMZ2DOnDlw8803w6JFi2plrr32Wti3bx8sWbIE9u7dC29/+9th3bp1Wf6GSggxIqUq+BMdEiaUDUyMYHZC1zhIgrTUbuxYS5W85CSTekpKPclIoBG/UvGXKho1nKHruRHj6FOCofs+NohK2huD3OtBI5opW9K2SSEZp1ifEcMdO69VtTEX/PjiHo4b1aauolm9T8Do6Cj09vbCTTfdlCRutKdr6VBhiher7548YmxL76duEI1t7SaTnDAkp1uqHnf65a5hdqi6HB/XH6691PhUIZCkdSiH5b7HbDZDqEgzjBpnG9OPHMJQk0XD6mAZNeo6Zoeqz5XB2uXfx+5R9ajx0V6PObSlCHKt7VA5N2ZgNmL2nfZwmSoZ9u/fD9dddx2MjIzA1KlTRXXa+n/9jI2Nof8IK3R6CQU3rGyuEzcXfKV1UstLgqjGJmcPs6Ntp+Y+9l77jQnqh6rP2Y3llvaPGo/U+fXv+5CUS3VosZAEDG1gC2UNQsKAKysVBtyP5Fknqkzsc1JcfWn/QuMRetXOi9R2aP617ZTalJSPraNpi+R+aJ9ReyzGL7S1UCkXi99x9xp2P5XTV63Y+9D1chKxa9h1/74Lt6/aflCvWmjshLglY+e+UiKo/Onu7q57pYQB9ZBkSGT4XymV1PPvhR7MLP+jb/lKCQsXGoEjeQ1d48o0EhInrXH+3Ku7L32/Q7XJDXLcQ9XcfU5cYA9Nh+pQ9dxXri4nCLTBPUYESOcxlx1tm2K5qPvaspL3qcDalouvI4SKDz/YlWUwx8mJAU5Y+GW4Otz12H7nFl8AeIAKiQQ/aOYQPW67UoIrFqAl7znB4r9ioiMkSiihgompkssfS1e4uP2mxq9EaHyocZG8YhwYcq1dah9pA4UmWLq/Y3s51CZORLjvMRHBvZcKEZ8r9CoRIdj7XEE+x2ujBIekntYmdT/1OvZeaytkU2uHQ9sLlXJTdTqok5p/v0RIJGBOVhpAQuXctlJBLJWH4wjZoLIBKWIIu+6X4URS6G9ccF+Bxa6H2hkSItz90HhR485dj4XEecYEnlCACwVs/zp1jRIw1H2pvVB7uHHhxov6nbvm3gv5sdC9UFkph4YH85PSfoa4pG3tJIw7odLd3Y0KFa3yC92T2pDW09qI4YztT8x1rY1GcMS2yYU02EoDuFYAub9LxYTkr4dKr2GvoT5SYxK6HovYU570viTwc/Wov1UjFT/Stmn6SL0PXcegnWfN9dg1VCVHrE+QlEl5n+qrNPVS93pMcqGthQo3QJLN5pbz61A2QuWk3LkQcrjSMlwdqXOnrktOZNo6riPn6vtl/HoSW1QfpY4/B3I4Qv9ayNHFcFLXNPeliBHCsaJesoZj7VFlcgGbR0kg8q9Rdri6IVuh9SgtF6qjvU6Vpe5hWRRpmarQCJEi5Xavx4xBWwsVAHxA/AXhihGuXBXwubG2Ye9ziaEYEaE9oTXjVXLCjTndSjik90Pj5N/H3jdC9KY6n9hyVSN2j6SWS4Hm5CoJ5lT2THM/VJf6q7jY79I2NOKVGyvXD/vjSt3TxBPt3GrrxdStul7oOoe2FirU15OrdiiUfVeM5LCnLRMqpwmAkrKaTIm0XA4xpL0n/V0qfKT2Y15jfsfeU9c092PLNgMa5xgqGzo5++9TsgGSV4kocK9J/9x+rH3pPe6VGhfud2k5SQDVrAGubKxwSbHllw/Fq6pgQsVBqWz9a9oyMbxVlq8CuQWURMBQ5UKCRHs9JqMRk3GhrofK5c7UaPofGpfY9z5ixIq2Tsw+0gqPmFOr5JSufZWIAOy9pqyEU/pfk2OEl3Yc/evctdhA2a6+PSRM/PJV8vkxF4vBGrS9UMk9KeWApg5sLHIq8KptUPX9BZoC6RxIRRN2TSuG3PshYaQVUDkyLTGiRXKdek9dk6ARQoWqJxUksddTArgkKyEtT90PtUna39A17npsOQoS35MjSKci1a+lls0Bjk97yAmh7YVKLFxF6F93X9sZqSeHHCePRgqvVMRmGLTZHmm51KxJo4RKlcKlGcLEf59TqEjKpWYjUgWHNDPRSOQM7FVkBnPWb3U0o3/jVqgApA146mSlbH5N3RieXOIi5n6q+Ek50WEOWpNOdRHrWEOZIUnmKCQcpMJCk6WS3JMgl1CR1NesldC1mPvudWlbqhL+seu8RFVrJUYE5xIiVX+U2cz4025oa6FSpsr9TVlOovRzMmyTYh8BYfVjuFM/VpLWjeXJ4QxD3KG54K5T2TAtNEIq1vHHIFUUaYNGruvS+41CrJCu6noj11AsJD4jh6itas1K7lcpVFLqpfI0Oo7l4pagrYVKiZjN4A4YJ3ZiTqIh7kah2Rstx0dH0nI5gktMNqZR2SdN3RhbVZ8eWwlVZhlzIuR7qLKx5TSiILewkJaRlGvXdRmDZsaxXNwStLVQ0abm/YH1r3Nq0S/vop24setVcXN1U9suKRNznbKv5fWRKwsUalOr2GtltEJfU7Nmknvtcl1bJlSvk32qb6Nd45gWbS1Uurrwf0rIlS+BDXiV2ZHxys3VlQSMKpxbrhR8rusx7WpGVqAVAnwO5M52Vp2Nis0gVCEkUsrngnQ8OtWndgK3Fm0tVFJQheozbn1bmsWdA2W7uZOJ/2yND819CXeovZ0iNnIitwBPKV/l/VTbqeUbjfHgU8cL97gVKhi4AQ6ltoy7fbi12Z2cDj5WKDQyg2Ji5k/I8TFEK3K1Gk8n+RbjlnFrMW6FinaiQqkt425tbilXlWjn7NF4RDsIldS6rYB29y3GXT33uBUqzdzcxm3QourgF/oIarzDxqS1MV792njhHrdCpeoUmHEbN4ZW67fmW3MG3Tcjmr3WGo3xur+Nu3ru7kqttzD8NFQjP5c37vHF7bdhvPV7vGG8jvl43d/GXT33uM2o+BhPp2zjNm7qvSE/xusYt9I6N+725h63GRUtmnkqMm7jNm7jNm7jHq/cJlSE6FSlatzGbdzGbdzG3crcJlQMBoPBYDC0LEyoeGjX1JhxG7dxG7dxG3cncptQ8dCuqTHjNm7jNm7jNu5O5M4uVA4fPgwrV66EOXPmwJQpU+B1r3sd/PM//3OdyiqKAq6//nqYOXMmTJkyBQYHB+Gpp57K3ZRK0GlK1biN27iN27iNu5W5swuVm266CW699Vb4yle+Ak8++STcdNNNsHr1arjllltqZVavXg1r1qyB2267DbZu3QpHH300zJ8/H/bv35+7OdnRaUrVuI3buI3buI27lbmz/x2Vn/3sZ3DppZfCxRdfDAAAr3nNa+Bb3/oWPPTQQwDwJzV18803w6c+9Sm49NJLAQDgm9/8JvT19cF9990HV1xxRe4mGQwGg8FgaFNkz6i87W1vgw0bNsCvf/1rAAD4z//8T/jpT38KCxYsAACAnTt3wtDQEAwODtbq9Pb2wty5c2HLli2ozQMHDsDo6Gjdj8FgMBgMhs5H9ozKJz7xCRgdHYWTTz4ZJkyYAIcPH4bPfe5zsGjRIgAAGBoaAgCAvr6+unp9fX21ez5WrVoFN9544xHXm/05W7PSZ8Zt3MZt3MZt3O3MrUH2jMp3v/tduOuuu+Duu++G7du3w5133glf/OIX4c4774y2uWLFChgZGan97N69GwDa73M24zZu4zZu4zZu49Yhe0bl4x//OHziE5+oPWty+umnw29/+1tYtWoVLF68GPr7+wEAYHh4GGbOnFmrNzw8DGeeeSZqs6enB3p6enI31WAwGAwGQ4sje0blxRdfhO7uerMTJkyAsbExAACYM2cO9Pf3w4YNG2r3R0dHYevWrTBv3rzczalD+VFRMz4yMm7jNm7jNm7jNm49smdULrnkEvjc5z4Hs2fPhje+8Y3w6KOPwpe+9CX4+7//ewD4U6rp6quvhs9+9rNw0kknwZw5c2DlypUwMDAAl112We7m1MH/t9QxiP1Mz7iN27iN27iN27j1Iie7ULnllltg5cqV8OEPfxj27NkDAwMD8A//8A9w/fXX18pce+21sG/fPliyZAns3bsX3v72t8O6detg8uTJuZuDIuUBotTP9IzbuI3buI3buI1bUado5ldnIjE6Ogq9vb2wevVqmDJlSpKt8frEtXEbt3Ebt3Ebd6O5X3rpJbj22mthZGQEpk6dKqoz7v/XTznAzdBrxm3cxm3cxm3cxs1j3AuVEpQibMTEG7dxG7dxG7dxGzeOthcq2CD41/wnlUP3OdvGbdzGbdzGbdzGnc4tRdsLFUzF+df8J5W5++7AdnV1sZ+9GbdxG7dxG7dxG3cctxTZv/XT7igH1R9sF0VRzYNLxm3cxm3cxm3cnc6tRdtnVHLBT1FxSjD35Bq3cRu3cRu3cY8Xbi06UqjEfC6GqUD3unEbt3Ebt3Ebt3FXy42hI4VKysCkDqpxG7dxG7dxG7dx50PbCxXuKeNcTxyXtkJPNBu3cRu3cRu3cRu3jFuKthcqvnpz33PKTjtg2Odtxm3cxm3cxm3cxh3HLUXbCxUX1MBh17u6uoLKkrNp3MZt3MZt3MZt3Hm4OXSUUKHUGna9KI78ahZWTqoAjdu4jdu4jdu4jTuOm0NHCRWAIz8HK9/718vBCynA8neJKjRu4zZu4zZu4zbuOG4KHfcH3yQKL3Qf+4xOogqN27iN27iN27iNO46bQltnVHyFJlVsmFrU8Bi3cRu3cRu3cRt3PLcGbS1UtMrPLVcOXFdXV917CY9xG7dxG7dxG7dxx3Nr0NZCRQt3IP2BDQ20cRu3cRu3cRu3cTeee1wJlZB6TFV9xm3cxm3cxm3cxp0XbS1UYj5PM27jNm7jNm7jNu7mcmvQ1kJF83kahdgJMG7jNm7jNm7jNu7qRUxbC5WUAXIfBDJu4zZu4zZu4zbuxnFr0NZCJWWA/LrloFOvfjnjNm7jNm7jNm7jjuPWoK2FSokcqady0KlXv5xxG7dxG7dxG7dxp3FL0BFCpRGpJ+M2buM2buM2buNuPDpCqFSBHArTuI3buI3buI3buNNgQoXAeFW3xm3cxm3cxm3crcQ97oVKpyhO4zZu4zZu4zbuTuQe90LFR6dPuHEbt3Ebt3Ebdztxq4XK5s2b4ZJLLoGBgQHo6uqC++67r+5+URRw/fXXw8yZM2HKlCkwODgITz31VF2Z5557DhYtWgRTp06FadOmwZVXXgkvvPBCdCdSBib1iWTjNm7jNm7jNm7jjuOWQC1U9u3bB2eccQasXbsWvb969WpYs2YN3HbbbbB161Y4+uijYf78+bB///5amUWLFsETTzwB69evh/vvvx82b94MS5Ysie5Ep3wOZ9zGbdzGbdzGPZ64JZiorbBgwQJYsGABeq8oCrj55pvhU5/6FFx66aUAAPDNb34T+vr64L777oMrrrgCnnzySVi3bh08/PDDcPbZZwMAwC233ALvfve74Ytf/CIMDAwkdEePoiiaNknGbdzGbdzGbdzGzSPrMyo7d+6EoaEhGBwcrF3r7e2FuXPnwpYtWwAAYMuWLTBt2rSaSAEAGBwchO7ubti6dStq98CBAzA6Olr3kwvjVcUat3Ebt3Ebt3G3A3dWoTI0NAQAAH19fXXX+/r6aveGhoZgxowZdfcnTpwI06dPr5XxsWrVKujt7a39zJo1K2ezRei0h5OM27iN27iN27jbgbstvvWzYsUKGBkZqf3s3r277n7s/xKgyrnXi6JgU1vGbdzGbdzGbdzGHcctQVah0t/fDwAAw8PDddeHh4dr9/r7+2HPnj119w8dOgTPPfdcrYyPnp4emDp1at2Pi9injt1y7sC617u6ulh7xm3cxm3cxm3cxh3HLUFWoTJnzhzo7++HDRs21K6Njo7C1q1bYd68eQAAMG/ePNi7dy9s27atVmbjxo0wNjYGc+fOTeKPTS35ai/GjnEbt3Ebt3Ebt3HH26Gg/tbPCy+8AE8//XTt/c6dO+Gxxx6D6dOnw+zZs+Hqq6+Gz372s3DSSSfBnDlzYOXKlTAwMACXXXYZAACccsopcNFFF8FVV10Ft912Gxw8eBCWLVsGV1xxRfI3fmJVG6Ymtakq4zZu4zZu4zZu447j5qAWKo888gi8853vrL1fvnw5AAAsXrwY7rjjDrj22mth3759sGTJEti7dy+8/e1vh3Xr1sHkyZNrde666y5YtmwZXHDBBdDd3Q0LFy6ENWvWZOjO/4dkkLgyKQNs3MZt3MZt3MZt3HnQVeTO0TQAo6Oj0NvbC6tXr4YpU6Y0uzkGg8FgMBgEeOmll+Daa6+FkZGRI543pdAW3/oJIaS1yvv+q3s/91PPxm3cxm3cxm3cxp0O9Uc/rYhQiqm8779y9aVpK+M2buM2buM2buOO45agIzIqGFzlJ1GLOdWfcRu3cRu3cRu3cedBR2RUMFDKjytr3MZt3MZt3MZt3M3l9tERGRXqczPNNeM2buM2buM2buNuLLcEHSFUOOVHXcs10MZt3MZt3MZt3MZdHTpCqMSg6lSVcRu3cRu3cRu3cadj3AqVRqeujNu4jdu4jdu4jVuPjhYq3OduUjXI2TBu4zZu4zZu4zbu/NwuOlqoSJ5aDg2e5sln4zZu4zZu4zZu407ndtERQiVFsWGDp7Fn3MZt3MZt3MZt3HnsYegIoZJDscXaM27jNm7jNm7jNu7q7HWEUPFVW4yKc+to6hu3cRu3cRu3cRt3HLcEHSFUfNUWo+LcOpr6xm3cxm3cxm3cxh3HLUFHCJVU9Wfcxm3cxm3cxm3cjeeWoCOESqr6M27jNm7jNm7jNu7Gc0vQEUJFiyo/SzNu4zZu4zZu4zbufBiXQqXKz9KM27iN27iN27iNOx/GpVABaLwCNW7jNm7jNm7jNm49xq1QabQCNW7jNm7jNm7jNm49xq1QoTBeFKpxG7dxG7dxG3c7cI97oUINaiMm2riN27iN27iN27h5jHuhQv2hm0aktYzbuI3buI3buI2bx7gXKgaDwWAwGFoXHSlUcqScYm0Yt3Ebt3Ebt3Ebt330w2K8PAlt3MZt3MZt3MbdSdwYOlKoxMBXf42cKOM2buM2buM2buPGYULl/zBe1atxG7dxG7dxG3crc6uFyubNm+GSSy6BgYEB6Orqgvvuu6927+DBg3DdddfB6aefDkcffTQMDAzA3/3d38EzzzxTZ+O5556DRYsWwdSpU2HatGlw5ZVXwgsvvKBufKd9V9y4jdu4jdu4jXs8cGugFir79u2DM844A9auXXvEvRdffBG2b98OK1euhO3bt8P3vvc92LFjB/zlX/5lXblFixbBE088AevXr4f7778fNm/eDEuWLFE3vlRw0sHOOSnGbdzGbdzGbdzGXT0maissWLAAFixYgN7r7e2F9evX1137yle+Aueeey7s2rULZs+eDU8++SSsW7cOHn74YTj77LMBAOCWW26Bd7/73fDFL34RBgYG1J2QppyqSE0Zt3Ebt3Ebt3Ebd3Wo/BmVkZER6OrqgmnTpgEAwJYtW2DatGk1kQIAMDg4CN3d3bB161bUxoEDB2B0dLTupxEYryk54zZu4zZu4zbuVuGuVKjs378frrvuOnjf+94HU6dOBQCAoaEhmDFjRl25iRMnwvTp02FoaAi1s2rVKujt7a39zJo1q8pm19CpDyYZt3Ebt3Ebt3G3C3dlQuXgwYPwnve8B4qigFtvvTXJ1ooVK2BkZKT2s3v3brRcURSsgktRd6G6xm3cxm3cxm3cxp2/rvoZFQlKkfLb3/4WNm7cWMumAAD09/fDnj176sofOnQInnvuOejv70ft9fT0QE9PzxHX/Y6H1FuKuvPrFkVRd824jdu4jdu4jdu489fNnlEpRcpTTz0FP/7xj+G4446ruz9v3jzYu3cvbNu2rXZt48aNMDY2BnPnzlXz+Qqw/J27lqIYXT7jNm7jNm7jNm7j1nFroc6ovPDCC/D000/X3u/cuRMee+wxmD59OsycORP++q//GrZv3w73338/HD58uPbcyfTp02HSpElwyimnwEUXXQRXXXUV3HbbbXDw4EFYtmwZXHHFFepv/HR1dR2h0sr3mErE7mE2Q5yhe8Zt3MZt3MZt3Matv49BLVQeeeQReOc731l7v3z5cgAAWLx4MXz605+GH/zgBwAAcOaZZ9bV+8lPfgLnn38+AADcddddsGzZMrjgggugu7sbFi5cCGvWrFE3vhEoiiJqYI3buI3buI3buI07nVstVM4///yktA/An7Ird999t5a6KfAHuJETbtzGbdzGbdzG3WncWnTM//rxO48NRozA8q9jk2vcxm3cxm3cxm3ccdwhdIxQ8TuPDQY3OdTgSdSgcRu3cRu3cRu3ccdxh9AxQqUo+O9/U+jq6qqrh6nK8lqZLuPKGLdxG7dxG7dxGzfNrUXHCJWuriO/AcTBHUy3Hqci/VfjNm7jNm7jNm7j1nFr0TFCJQRf5UkHLHZgjdu4jdu4jdu4jTude9wIlRyDZdzGbdzGbdzGbdyNRSV/Qr9qlMpu//79R1yrYjBDn6sZt3Ebt3Ebt3Ebd5i7jNua52G6ipinZ5qM3/3udw37D8oGg8FgMBjyYvfu3XDCCSeIyralUBkbG4MdO3bAqaeeCrt37677p4eGxmF0dBRmzZplc9BE2Bw0HzYHzYfNQXOhGf+iKOD555+HgYEB6O6WPX3Slh/9dHd3w6tf/WoAAJg6daotzCbD5qD5sDloPmwOmg+bg+ZCOv69vb0qu+PmYVqDwWAwGAztBxMqBoPBYDAYWhZtK1R6enrghhtugJ6enmY3ZdzC5qD5sDloPmwOmg+bg+ai6vFvy4dpDQaDwWAwjA+0bUbFYDAYDAZD58OEisFgMBgMhpaFCRWDwWAwGAwtCxMqBoPBYDAYWhZtK1TWrl0Lr3nNa2Dy5Mkwd+5ceOihh5rdpI7Epz/96dq//y5/Tj755Nr9/fv3w9KlS+G4446DY445BhYuXAjDw8NNbHH7Y/PmzXDJJZfAwMAAdHV1wX333Vd3vygKuP7662HmzJkwZcoUGBwchKeeeqquzHPPPQeLFi2CqVOnwrRp0+DKK6+EF154oYG9aG+E5uD973//EfvioosuqitjcxCPVatWwTnnnAPHHnsszJgxAy677DLYsWNHXRmJ79m1axdcfPHF8IpXvAJmzJgBH//4x+HQoUON7ErbQjIH559//hH74IMf/GBdmRxz0JZC5Tvf+Q4sX74cbrjhBti+fTucccYZMH/+fNizZ0+zm9aReOMb3wjPPvts7eenP/1p7d4111wDP/zhD+Gee+6BTZs2wTPPPAOXX355E1vb/ti3bx+cccYZsHbtWvT+6tWrYc2aNXDbbbfB1q1b4eijj4b58+fX/ZPORYsWwRNPPAHr16+H+++/HzZv3gxLlixpVBfaHqE5AAC46KKL6vbFt771rbr7Ngfx2LRpEyxduhQefPBBWL9+PRw8eBAuvPBC2LdvX61MyPccPnwYLr74Ynj55ZfhZz/7Gdx5551wxx13wPXXX9+MLrUdJHMAAHDVVVfV7YPVq1fX7mWbg6INce655xZLly6tvT98+HAxMDBQrFq1qomt6kzccMMNxRlnnIHe27t3b3HUUUcV99xzT+3ak08+WQBAsWXLlga1sLMBAMW9995bez82Nlb09/cX//Iv/1K7tnfv3qKnp6f41re+VRRFUfzyl78sAKB4+OGHa2V+9KMfFV1dXcXvf//7hrW9U+DPQVEUxeLFi4tLL72UrGNzkBd79uwpAKDYtGlTURQy3/Pv//7vRXd3dzE0NFQrc+uttxZTp04tDhw40NgOdAD8OSiKoviLv/iL4qMf/ShZJ9cctF1G5eWXX4Zt27bB4OBg7Vp3dzcMDg7Cli1bmtiyzsVTTz0FAwMD8NrXvhYWLVoEu3btAgCAbdu2wcGDB+vm4uSTT4bZs2fbXFSEnTt3wtDQUN2Y9/b2wty5c2tjvmXLFpg2bRqcffbZtTKDg4PQ3d0NW7dubXibOxUPPPAAzJgxA97whjfAhz70IfjjH/9Yu2dzkBcjIyMAADB9+nQAkPmeLVu2wOmnnw59fX21MvPnz4fR0VF44oknGtj6zoA/ByXuuusuOP744+G0006DFStWwIsvvli7l2sO2u6fEv7hD3+Aw4cP13UcAKCvrw9+9atfNalVnYu5c+fCHXfcAW94wxvg2WefhRtvvBH+/M//HB5//HEYGhqCSZMmwbRp0+rq9PX1wdDQUHMa3OEoxxVb/+W9oaEhmDFjRt39iRMnwvTp021eMuGiiy6Cyy+/HObMmQO/+c1v4JOf/CQsWLAAtmzZAhMmTLA5yIixsTG4+uqr4bzzzoPTTjsNAEDke4aGhtB9Ut4zyIHNAQDA3/7t38KJJ54IAwMD8POf/xyuu+462LFjB3zve98DgHxz0HZCxdBYLFiwoPb7m970Jpg7dy6ceOKJ8N3vfhemTJnSxJYZDM3DFVdcUfv99NNPhze96U3wute9Dh544AG44IILmtiyzsPSpUvh8ccfr3s2ztBYUHPgPnN1+umnw8yZM+GCCy6A3/zmN/C6170uG3/bffRz/PHHw4QJE454unt4eBj6+/ub1Krxg2nTpsGf/dmfwdNPPw39/f3w8ssvw969e+vK2FxUh3JcufXf399/xIPlhw4dgueee87mpSK89rWvheOPPx6efvppALA5yIVly5bB/fffDz/5yU/ghBNOqF2X+J7+/n50n5T3DDJQc4Bh7ty5AAB1+yDHHLSdUJk0aRKcddZZsGHDhtq1sbEx2LBhA8ybN6+JLRsfeOGFF+A3v/kNzJw5E8466yw46qij6uZix44dsGvXLpuLijBnzhzo7++vG/PR0VHYunVrbcznzZsHe/fuhW3bttXKbNy4EcbGxmqOxJAXv/vd7+CPf/wjzJw5EwBsDlJRFAUsW7YM7r33Xti4cSPMmTOn7r7E98ybNw9+8Ytf1AnG9evXw9SpU+HUU09tTEfaGKE5wPDYY48BANTtgyxzEPHwb9Px7W9/u+jp6SnuuOOO4pe//GWxZMmSYtq0aXVPFhvy4GMf+1jxwAMPFDt37iz+4z/+oxgcHCyOP/74Ys+ePUVRFMUHP/jBYvbs2cXGjRuLRx55pJg3b14xb968Jre6vfH8888Xjz76aPHoo48WAFB86UtfKh599NHit7/9bVEURfGFL3yhmDZtWvH973+/+PnPf15ceumlxZw5c4qXXnqpZuOiiy4q3vzmNxdbt24tfvrTnxYnnXRS8b73va9ZXWo7cHPw/PPPF//0T/9UbNmypdi5c2fx4x//uHjLW95SnHTSScX+/ftrNmwO4vGhD32o6O3tLR544IHi2Wefrf28+OKLtTIh33Po0KHitNNOKy688MLiscceK9atW1e86lWvKlasWNGMLrUdQnPw9NNPF5/5zGeKRx55pNi5c2fx/e9/v3jta19bvOMd76jZyDUHbSlUiqIobrnllmL27NnFpEmTinPPPbd48MEHm92kjsR73/veYubMmcWkSZOKV7/61cV73/ve4umnn67df+mll4oPf/jDxStf+criFa94RfFXf/VXxbPPPtvEFrc/fvKTnxQAcMTP4sWLi6L401eUV65cWfT19RU9PT3FBRdcUOzYsaPOxh//+Mfife97X3HMMccUU6dOLT7wgQ8Uzz//fBN6057g5uDFF18sLrzwwuJVr3pVcdRRRxUnnnhicdVVVx1xULI5iAc29gBQ3H777bUyEt/z3//938WCBQuKKVOmFMcff3zxsY99rDh48GCDe9OeCM3Brl27ine84x3F9OnTi56enuL1r3998fGPf7wYGRmps5NjDrr+r0EGg8FgMBgMLYe2e0bFYDAYDAbD+IEJFYPBYDAYDC0LEyoGg8FgMBhaFiZUDAaDwWAwtCxMqBgMBoPBYGhZmFAxGAwGg8HQsjChYjAYDAaDoWVhQsVgMBgMBkPLwoSKwWAwGAyGloUJFYPBYDAYDC0LEyoGg8FgMBhaFiZUDAaDwWAwtCz+HxZZsx67eVFuAAAAAElFTkSuQmCC", + "text/plain": [ + "Figure()" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "Python: " + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "imshow(cig_lin[26,:,:]', cmap=\"gray\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "739ebc15-a9ad-4c5b-955a-7750381db132", + "metadata": {}, + "outputs": [], + "source": [ + "using Test\n", + "nh = n_offsets\n", + "ssodm = J_ext'*dlin\n", + "@test size(ssodm, 1) == nh\n", + "\n", + "ssor = zeros(Float32, size(ssodm)...)\n", + "ssor[26, :, :] .= dm.data\n", + "\n", + "dDe = J_ext*ssor\n", + "# @show norm(dDe - dD), norm(ssor[:] - dm[:])\n", + "a, b = dot(dlin, dDe), dot(ssodm[:], ssor[:])\n", + "\n", + "@test (a-b)/(a+b) ≈ 0 atol=sqrt(eps(1f0)) rtol=0" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "234a3dd9-5d71-4fad-8983-b89b27d1593d", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.05 s\n", + "Operator `forward` ran in 0.03 s\n", + "Operator `cig_sso` ran in 1.02 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.03 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.05 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.03 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.07 s\n", + "Operator `forward` ran in 0.03 s\n", + "Operator `cig_sso` ran in 1.04 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.08 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.27 s\n", + "Operator `forward` ran in 0.03 s\n", + "Operator `cig_sso` ran in 1.06 s\n", + "Operator `forward` ran in 0.03 s\n", + "Operator `cig_sso` ran in 1.09 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.20 s\n", + "Operator `forward` ran in 0.05 s\n", + "Operator `cig_sso` ran in 1.09 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.11 s\n", + "Operator `forward` ran in 0.04 s\n", + "Operator `cig_sso` ran in 1.07 s\n", + "Operator `forward` ran in 0.03 s\n", + "Operator `cig_sso` ran in 1.21 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.73 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.74 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.91 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.88 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.81 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.76 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.74 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.75 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.84 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.74 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.76 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.88 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.74 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.81 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.76 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.78 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.78 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.84 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.73 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.73 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.75 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.73 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", + "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.82 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1671168, (256, 128), 51, 1)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "107.049523 seconds (6.82 M allocations: 688.910 MiB, 0.04% gc time)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Operator `extborn` ran in 0.72 s\n" + ] + }, + { + "data": { + "text/plain": [ + "PhysicalParameter{Float32, 3} of size (51, 256, 128) with origin (-300.0f0, 0.0f0, 0.0f0) and spacing (12.0f0, 12.5f0, 12.5f0)\n" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "niter = 2\n", + "x_elsrtm1 = similar(cig_lin, Float32, J_ext.n) #zeros(Float32, size(cig_lin))\n", + "\n", + "@time lsqr!(x_elsrtm1, J_ext, dlin_ext; maxiter=niter)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "e736fa3e-3c56-47e9-b3c4-837743592f0b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "plot_cig (generic function with 1 method)" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "function plot_cig(cig)\n", + " d = (12.5f0, 12.5f0)\n", + "\n", + " cig_fs = 12\n", + "\n", + " # reshape data\n", + " y = reshape(permutedims(cig, (2, 3, 1)), n[1], n[2], n_offsets, 1)\n", + "\n", + " # rc settings\n", + " PythonPlot.rc(\"figure\", titlesize=cig_fs)\n", + " PythonPlot.rc(\"font\", family=\"serif\")\n", + " PythonPlot.rc(\"xtick\", labelsize=cig_fs)\n", + " PythonPlot.rc(\"ytick\", labelsize=cig_fs)\n", + " PythonPlot.rc(\"axes\", labelsize=cig_fs)\n", + " PythonPlot.rc(\"axes\", titlesize=cig_fs)\n", + "\n", + " # positions\n", + " xpos = 1.5f3\n", + " zpos = 0.8f3\n", + "\n", + " xgrid = Int(round(xpos / d[1]))\n", + " zgrid = Int(round(zpos / d[2]))\n", + "\n", + " # subplots\n", + " fig, axs = PythonPlot.subplots(\n", + " 2, 2,\n", + " figsize=(20, 12),\n", + " gridspec_kw=Dict(\"width_ratios\" => [3, 1],\n", + " \"height_ratios\" => [1, 3])\n", + " )\n", + "\n", + " # convert to Julia array (CRITICAL)\n", + " axs = pyconvert(Array, axs)\n", + "\n", + " PythonPlot.subplots_adjust(hspace=0.0, wspace=0.0)\n", + "\n", + " # color scaling\n", + " vmin1, vmax1 = (-1, 1) .* quantile(abs.(vec(y[:, zgrid, :, 1])), 0.99)\n", + " vmin2, vmax2 = (-1, 1) .* quantile(abs.(vec(y[:, :, div(n_offsets,2)+1, 1])), 0.99)\n", + " vmin3, vmax3 = (-1, 1) .* quantile(abs.(vec(y[xgrid, :, :, 1])), 0.99)\n", + "\n", + " # ======================\n", + " # Top-left\n", + " # ======================\n", + " ax = axs[1,1]\n", + " im1 = ax.imshow(\n", + " y[:, zgrid, :, 1]',\n", + " aspect=\"auto\",\n", + " cmap=\"gray\",\n", + " interpolation=\"none\",\n", + " vmin=vmin1,\n", + " vmax=vmax1,\n", + " extent=(0f0, (n[1]-1)*d[1], offset_start, offset_end)\n", + " )\n", + "\n", + " ax.set_xticklabels([])\n", + " ax.set_xlabel(\"\")\n", + "\n", + " ax.hlines(0, 0, (n[1]-1)*d[1], colors=\"b\", linewidth=3)\n", + " ax.vlines(xpos, offset_start, offset_end, colors=\"b\", linewidth=3)\n", + "\n", + " # ======================\n", + " # Bottom-left\n", + " # ======================\n", + " ax = axs[2,1]\n", + " im2 = ax.imshow(\n", + " y[:, :, div(n_offsets,2)+1, 1]',\n", + " aspect=\"auto\",\n", + " cmap=\"gray\",\n", + " interpolation=\"none\",\n", + " vmin=vmin2,\n", + " vmax=vmax2,\n", + " extent=(0f0, (n[1]-1)*d[1], (n[2]-1)*d[2], 0f0)\n", + " )\n", + "\n", + " ax.set_xlabel(\"X [m]\", fontsize=cig_fs)\n", + " ax.set_ylabel(\"Z [m]\", fontsize=cig_fs)\n", + "\n", + " ax.set_xticks([0, 500, 1000, 1500, 2000, 2500])\n", + " ax.set_xticklabels([\"0\", \"500\", \"1000\", \"1500\", \"2000\", \"2500\"])\n", + " ax.set_yticks([500, 1000, 1500])\n", + " ax.set_yticklabels([\"500\", \"1000\", \"1500\"])\n", + "\n", + " ax.vlines(xpos, 0, (n[2]-1)*d[2], colors=\"b\", linewidth=3)\n", + " ax.hlines(zpos, 0, (n[1]-1)*d[1], colors=\"b\", linewidth=3)\n", + "\n", + " # ======================\n", + " # Top-right (hidden)\n", + " # ======================\n", + " axs[1,2].set_visible(false)\n", + "\n", + " # ======================\n", + " # Bottom-right\n", + " # ======================\n", + " ax = axs[2,2]\n", + " im3 = ax.imshow(\n", + " y[xgrid, :, :, 1],\n", + " aspect=\"auto\",\n", + " cmap=\"gray\",\n", + " interpolation=\"none\",\n", + " vmin=vmin3,\n", + " vmax=vmax3,\n", + " extent=(offset_start, offset_end, (n[2]-1)*d[2], 0f0)\n", + " )\n", + "\n", + " ax.set_xlabel(\"Offset [m]\", fontsize=cig_fs)\n", + " ax.set_yticklabels([])\n", + " ax.set_ylabel(\"\")\n", + "\n", + " ax.vlines(0, 0, (n[2]-1)*d[2], colors=\"b\", linewidth=3)\n", + " ax.hlines(zpos, offset_end, offset_start, colors=\"b\", linewidth=3)\n", + "\n", + " # ======================\n", + " # Remove spines (safe)\n", + " # ======================\n", + " for ax in axs\n", + " for spine in [\"top\", \"right\", \"bottom\", \"left\"]\n", + " ax.spines[spine].set_visible(false)\n", + " end\n", + " end\n", + "\n", + " PythonPlot.show()\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "3c9de7c9-81e1-4389-8d4b-402ed7c3cd79", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "sys:1: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "Figure()" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_cig(cig_lin)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5b0b1ad5-ae1a-4133-8dc9-37464bc1bb11", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Julia 1.8.5 1.8.5", + "language": "julia", + "name": "julia-1.8.5-1.8" + }, + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.8.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/src/judiagent/rag/imagegather/examples/offset_map.jl b/src/judiagent/rag/imagegather/examples/offset_map.jl new file mode 100644 index 0000000..34832eb --- /dev/null +++ b/src/judiagent/rag/imagegather/examples/offset_map.jl @@ -0,0 +1,100 @@ +# # Offset map from differently weighted RTMs +# Author: Mathias Louboutin +# Date: June 2021 +# +# Estimate a residual-moveout offset map by reverse-time-migrating the same +# residual under two different offset-weighting functions and comparing the +# resulting images. The example uses a layered velocity model. + +using JUDI, LinearAlgebra, Images, PyPlot, DSP, ImageGather + +# # Set up model structure +n = (601, 333) # (x,y,z) or (x,z) +d = (15., 15.) +o = (0., 0.) + +# Velocity [km/s] +v = ones(Float32,n) .+ 0.5f0 +for i=1:12 + v[:,25*i+1:end] .= 1.5f0 + i*.25f0 +end +v0 = imfilter(v, Kernel.gaussian(5)) + +# Slowness squared [s^2/km^2] +m = (1f0 ./ v).^2 +m0 = (1f0 ./ v0).^2 + +# Setup info and model structure +nsrc = 1 # number of sources +model = Model(n, d, o, m; nb=40) +model0 = Model(n, d, o, m0; nb=40) + +# # Acquisition geometry +# Set up receiver geometry +nxrec = 401 +xrec = range(0f0, stop=(n[1] -1)*d[1], length=nxrec) +yrec = 0f0 +zrec = range(20f0, stop=20f0, length=nxrec) + +# receiver sampling and recording time +timeR = 4000f0 # receiver recording time [ms] +dtR = 4f0 # receiver sampling interval [ms] + +# Set up receiver structure +recGeometry = Geometry(xrec, yrec, zrec; dt=dtR, t=timeR, nsrc=nsrc) +# Set up source geometry (cell array with source locations for each shot) +xsrc = 4500f0 +ysrc = 0f0 +zsrc = 20f0 + +# source sampling and number of time steps +timeS = 4000f0 # ms +dtS = 4f0 # ms + +# Set up source structure +srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtS, t=timeS) +# setup wavelet +f0 = 0.015f0 # kHz +wavelet = ricker_wavelet(timeS, dtS, f0) +q = judiVector(srcGeometry, wavelet) + +################################################################################################### +# # Forward modeling and baseline RTM +opt = Options(space_order=16) +# Setup operators +F = judiModeling(model, srcGeometry, recGeometry; options=opt) +F0 = judiModeling(model0, srcGeometry, recGeometry; options=opt) +# Nonlinear modeling +dD = F*q + +# Make rtms +J = judiJacobian(F0, q) + +# # Apply offset weighting functions and compute offset map +# Get offsets and mute data +offs = abs.(xrec .- xsrc) +res = deepcopy(dD) +mute!(res.data[1], offs) +reso = deepcopy(res) + +rtm = J'*res + +omap = Array{Any}(undef, 2) +i = 1 + +# try a bunch of weighting functions +for (wf, iwf) = zip([x-> x./4000f0 .+ 1, x-> log.(x .+ 10)], [x -> 4000f0.*(x .- 1), x-> exp.(x) .- 10]) + reso.data[1] .= res.data[1] .* wf(offs)' + rtmo = J'*reso + omap[i] = iwf(offset_map(rtm.data, rtmo.data)) + global i+=1 +end + +# # Plot the offset map for each weighting +figure() +for (i, name)=enumerate(["shift", "log"]) + subplot(1,2,i) + imshow(omap[i]', vmin=0, vmax=4000, cmap="gist_ncar", aspect="auto") + colorbar() + title(name) +end diff --git a/src/judiagent/rag/imagegather/src/ImageGather.jl b/src/judiagent/rag/imagegather/src/ImageGather.jl new file mode 100644 index 0000000..4460cfa --- /dev/null +++ b/src/judiagent/rag/imagegather/src/ImageGather.jl @@ -0,0 +1,23 @@ +module ImageGather + + using JUDI + using JUDI.DSP, JUDI.PyCall + + import Base: getindex, * + import JUDI: judiAbstractJacobian, judiMultiSourceVector, judiComposedPropagator, judiJacobian, make_input, propagate + import JUDI.LinearAlgebra: adjoint + + const impl = PyNULL() + + function __init__() + pushfirst!(PyVector(pyimport("sys")."path"),dirname(pathof(ImageGather))) + copy!(impl, pyimport("implementation")) + end + # Utility functions + include("utils.jl") + # Surface offset gathers + include("surface_gather.jl") + # Subsurface offset gathers + include("subsurface_gather.jl") + +end # module diff --git a/src/judiagent/rag/imagegather/src/implementation.py b/src/judiagent/rag/imagegather/src/implementation.py new file mode 100644 index 0000000..44e7ea4 --- /dev/null +++ b/src/judiagent/rag/imagegather/src/implementation.py @@ -0,0 +1,160 @@ +from devito import Inc, Operator, Function, CustomDimension, norm +from devito.finite_differences.differentiable import Add +from devito.builtins import initialize_function +from devito.types.utils import DimensionTuple + +import numpy as np + +from propagators import forward, gradient +from geom_utils import src_rec, geom_expr +from sensitivity import grad_expr, lin_src +from fields import wavefield +from kernels import wave_kernel +from utils import opt_op + + +def double_rtm(model, wavelet, src_coords, res, res_o, rec_coords, space_order=8): + """ + """ + _, u, illum, _ = forward(model, src_coords, None, wavelet, space_order=space_order, + illum=True, save=True) + + # RTMs + rtm = gradient(model, res, rec_coords, u, space_order=space_order)[0] + rtmo = gradient(model, res_o, rec_coords, u, space_order=space_order)[0] + return rtm.data, rtmo.data, illum.data + + +def cig_grad(model, src_coords, wavelet, rec_coords, res, offsets, ic="as", space_order=8, omni=False, illum=False): + """ + """ + u = forward(model, src_coords, None, wavelet, space_order=space_order, save=True)[1] + # Setting adjoint wavefield + v = wavefield(model, space_order, fw=False) + + # Set up PDE expression and rearrange + pde = wave_kernel(model, v, fw=False) + + # Setup source and receiver + go_expr = geom_expr(model, v, src_coords=rec_coords, + wavelet=res, fw=False) + # Setup gradient wrt m with all offsets + ohs = make_offsets(offsets, model, omni) + + # Subsurface offsets. + hs = tuple(h.shape[0] for h in ohs.values()) + hd = tuple(h.indices[0] for h in ohs.values()) + gradm = Function(name="gradm", grid=model.grid, shape=(*hs, *u.shape[1:]), + dimensions=(*hd, *model.grid.dimensions)) + + uh, vh = shifted_wf(u, v, ohs) + g_expr = grad_expr(gradm, uh, vh, model, ic=ic) + + # Create operator and run + subs = model.grid.spacing_map + op = Operator(pde + go_expr + g_expr, subs=subs, name="cig_sso", opt=opt_op(model)) + + try: + op.cfunction + except: + op = Operator(pde + go_expr + g_expr, subs=subs, name="cig_sso", opt='advanced') + op.cfunction + + # Get bounds from offsets + dim_kw = make_kw(ohs, DimensionTuple(*u.shape[1:], getters=model.grid.dimensions)) + op(dt=model.critical_dt, **dim_kw) + + # Output + return gradm.data + + +def cig_lin(model, src_coords, wavelet, rec_coords, dm_ext, offsets, ic="as", space_order=8, omni=False): + """ + """ + nt = wavelet.shape[0] + dt = model.grid.time_dim.spacing + oh = make_offsets(offsets, model, omni) + + # Setting wavefield + u = wavefield(model, space_order, nt=nt) + ul = wavefield(model, space_order, name="l") + + # Set up PDE expression and rearrange + pde = wave_kernel(model, u) + qlin = ext_src(model, u, dm_ext, oh, ic=ic) + fact = 1 / (model.damp/dt + (model.m * model.irho)/dt**2) + pdel = wave_kernel(model, ul) + [Inc(ul.forward, fact * qlin)] + + # Setup source and receiver + go_expr = geom_expr(model, u, src_coords=src_coords, wavelet=wavelet) + go_exprl = geom_expr(model, ul, rec_coords=rec_coords, nt=nt) + _, rcvl = src_rec(model, ul, rec_coords=rec_coords, nt=nt) + # Create operator and run + subs = model.grid.spacing_map + op = Operator(pde + go_expr + pdel + go_exprl, + subs=subs, name="extborn", opt=opt_op(model)) + op.cfunction + + # Remove edge for offsets + dim_kw = make_kw(oh, DimensionTuple(*u.shape[1:], getters=model.grid.dimensions), + born=True) + op(dt=model.critical_dt, rcvul=rcvl, **dim_kw) + + # Output + return rcvl.data + + +def ext_src(model, u, dm_ext, oh, ic="as"): + # Extended perturbation + hs = (h.shape[0] for h in oh.values()) + hd = (h.indices[0] for h in oh.values()) + dm = Function(name="gradm", grid=model.grid, shape=(*hs, *u.shape[1:]), + dimensions=(*hd, *model.grid.dimensions), + space_order=u.space_order) + initialize_function(dm, dm_ext, (*((0, 0) for _ in oh.values()), *model.padsizes)) + + # extended source + uh = _shift(u, oh) + ql = -model.irho * _shift(uh.dt2 * dm, oh) + return ql + + +def make_offsets(offsets, model, omni): + dims = model.grid.dimensions + dims = dims if omni else (dims[0],) + ohs = dict() + for d in dims: + nh = offsets.shape[0] + offs = CustomDimension("off%s" % d.name, 0, nh-1, nh) + oh = Function(name="offv%s" % d.name, grid=model.grid, space_order=0, + dimensions=(offs,), shape=(nh,), dtype=np.int32) + oh.data[:] = offsets // model.grid.spacing[0] + ohs[d] = oh + return ohs + + +def shifted_wf(u, v, ohs): + uh = u + vh = v + for k, v in ohs.items(): + if v.shape[0] == 1: + continue + uh = uh._subs(k, k-v) + vh = vh._subs(k, k+v) + return uh, vh + + +def _shift(u, oh): + uh = u + for k, v in oh.items(): + uh = uh._subs(k, k-v) + return uh + + +def make_kw(ohs, shape, born=False): + kw = dict() + scale = 2 if born else 1 + for d, v in ohs.items(): + kw['%s_m' % d.name] = -scale*np.min(v.data.view(np.ndarray)) + kw['%s_M' % d.name] = shape[d] - scale*np.max(v.data.view(np.ndarray)) + return kw diff --git a/src/judiagent/rag/imagegather/src/subsurface_gather.jl b/src/judiagent/rag/imagegather/src/subsurface_gather.jl new file mode 100644 index 0000000..f43a4ac --- /dev/null +++ b/src/judiagent/rag/imagegather/src/subsurface_gather.jl @@ -0,0 +1,170 @@ +export judiExtendedJacobian + +struct judiExtendedJacobian{D, O, FT} <: judiAbstractJacobian{D, O, FT} + m::AbstractSize + n::AbstractSize + F::FT + q::judiMultiSourceVector + offsets::Vector{D} + dims::Vector{Symbol} +end + +# Avoids PhysicalParameter issue with lsqr! +import Base: similar + +function similar(x::Array{T,3}, ::Type{S}, n::AbstractSize) where {T,S} + return zeros(S, n[:h], n[:x], n[:z]) +end + +function similar(x::Array{T,4}, ::Type{S}, n::AbstractSize) where {T,S} + return zeros(S, n[:hx], n[:hz], n[:x], n[:z]) +end + +# Handle both 1D and 2D offset dimensions +space_offset(N::NTuple{2,<:Integer}, nh::Integer, ndim::Integer) = ndim == 1 ? AbstractSize((:h, :x, :z), (nh, N[1], N[2])) : AbstractSize((:hx, :hz, :x, :z), (nh, nh, N[1], N[2])) + + +""" + J = judiExtendedJacobian(F, q, offsets; options::JUDIOptions, omni=false, dims=nothing) + +Extended jacobian (extended Born modeling operator) for subsurface horsizontal offsets `offsets`. Its adjoint +comput the subsurface common offset volume. In succint way, the extened born modeling Operator can summarized in a linear algebra frmaework as: + +Options structure for seismic modeling. + +`omni`: If `true`, the extended jacobian will be computed for all dimensions. +`dims`: If `omni` is `false`, the extended jacobian will be computed for the dimension(s) specified in `dims`. + +""" +function judiExtendedJacobian(F::judiComposedPropagator{D, O}, q::judiMultiSourceVector, offsets; + options=nothing, omni=false, dims=nothing) where {D, O} + JUDI.update!(F.options, options) + offsets = Vector{D}(offsets) + ndim = length(F.model.n) + if omni + dims = [:x, :y, :z][1:ndim] + else + if isnothing(dims) + dims = [:x] + else + dims = symvec(dims) + if ndim == 2 + dims[dims .== :z] .= :y + end + end + end + ndims_offset = length(dims) + return judiExtendedJacobian{D, :born, typeof(F)}(F.m, space_offset(F.model.n, length(offsets), ndims_offset), F, q, offsets, dims) +end + +symvec(s::Symbol) = [s] +symvec(s::Tuple) = [symvec(ss)[1] for ss in s]::Vector{Symbol} +symvec(s::Vector) = [symvec(ss)[1] for ss in s]::Vector{Symbol} + +adjoint(J::judiExtendedJacobian{D, O, FT}) where {D, O, FT} = judiExtendedJacobian{D, adjoint(O), FT}(J.n, J.m, J.F, J.q, J.offsets, J.dims) +getindex(J::judiExtendedJacobian{D, O, FT}, i) where {D, O, FT} = judiExtendedJacobian{D, O, FT}(J.m[i], J.n[i], J.F[i], J.q[i], J.offsets, J.dims) + +function make_input(J::judiExtendedJacobian{D, :adjoint_born, FT}, q) where {D, FT} + srcGeom, srcData = JUDI.make_src(J.q, J.F.qInjection) + recGeom, recData = JUDI.make_src(q, J.F.rInterpolation) + return srcGeom, srcData, recGeom, recData, nothing +end + +function make_input(J::judiExtendedJacobian{D, :born, FT}, dm) where {D<:Number, FT} + srcGeom, srcData = JUDI.make_src(J.q, J.F.qInjection) + return srcGeom, srcData, J.F.rInterpolation.data[1], nothing, dm +end + +*(J::judiExtendedJacobian{T, :born, O}, dm::Array{T, 3}) where {T, O} = J*vec(dm) +*(J::judiExtendedJacobian{T, :born, O}, dm::Array{T, 4}) where {T, O} = J*vec(dm) + +JUDI.process_input_data(::judiExtendedJacobian{D, :born, FT}, q::AbstractVector{D}) where {D<:Number, FT} = q +JUDI.process_input_data(::judiExtendedJacobian{D, :born, FT}, dm::PhysicalParameter{D}) where {D<:Number, FT} = vec(dm) +JUDI.process_input_data(::judiExtendedJacobian{D, :born, FT}, dm::Base.ReshapedArray{D}) where {D<:Number, FT} = vec(collect(dm)) + +############################################################ + +function propagate(J::judiExtendedJacobian{T, :born, O}, q::AbstractArray{T}, illum::Bool) where {T, O} + srcGeometry, srcData, recGeometry, _, dm = make_input(J, q) + # Load full geometry for out-of-core geometry containers + recGeometry = Geometry(recGeometry) + srcGeometry = Geometry(srcGeometry) + + # Avoid useless propage without perturbation + if minimum(dm) == 0 && maximum(dm) == 0 + return judiVector(recGeometry, zeros(Float32, recGeometry.nt[1], length(recGeometry.xloc[1]))) + end + + # Set up Python model structure + modelPy = devito_model(J.model, J.options) + nh = [length(J.offsets) for _=1:length(J.dims)] + dmd = reshape(dm, nh..., J.model.n...) + dtComp = pyconvert(Float32, modelPy.critical_dt) + + # Extrapolate input data to computational grid + qIn = time_resample(srcData, srcGeometry, dtComp) + + # Set up coordinates + src_coords = setup_grid(srcGeometry, J.model.n) # shifts source coordinates by origin + rec_coords = setup_grid(recGeometry, J.model.n) # shifts rec coordinates by origin + + # Devito interface + dD = impl.cig_lin(modelPy, src_coords, qIn, rec_coords, dmd, J.offsets, + ic=J.options.IC, space_order=J.options.space_order, dims=J.dims) + dD = time_resample(PyArray(dD), dtComp, recGeometry) + # Output shot record as judiVector + return judiVector{Float32, Matrix{Float32}}(1, recGeometry, [dD]) +end + +function propagate(J::judiExtendedJacobian{T, :adjoint_born, O}, q::AbstractArray{T}, illum::Bool) where {T, O} + srcGeometry, srcData, recGeometry, recData, _ = make_input(J, q) + # Load full geometry for out-of-core geometry containers + recGeometry = Geometry(recGeometry) + srcGeometry = Geometry(srcGeometry) + + # Set up Python model + modelPy = devito_model(J.model, J.options) + dtComp = pyconvert(Float32, modelPy.critical_dt) + + # Extrapolate input data to computational grid + qIn = time_resample(srcData, srcGeometry, dtComp) + dObserved = time_resample(recData, recGeometry, dtComp) + + # Set up coordinates + src_coords = setup_grid(srcGeometry, J.model.n) # shifts source coordinates by origin + rec_coords = setup_grid(recGeometry, J.model.n) # shifts rec coordinates by origin + + # Devito + g = impl.cig_grad(modelPy, src_coords, qIn, rec_coords, dObserved, J.offsets, + illum=false, ic=J.options.IC, space_order=J.options.space_order, dims=J.dims, + t_sub=J.options.subsampling_factor) + g = remove_padding_cig(PyArray(g), pyconvert(Tuple, modelPy.padsizes); true_adjoint=J.options.sum_padding) + return g +end + +# Forward: multi_src_propagate redirects +function JUDI.multi_src_propagate(J::judiExtendedJacobian{T, :born, O}, + dm::PhysicalParameter{T}) where {T, O} + return JUDI.multi_src_propagate(J, vec(dm)) +end + +function JUDI.multi_src_propagate(J::judiExtendedJacobian{T, :born, O}, + dm::Base.ReshapedArray{T}) where {T, O} + return JUDI.multi_src_propagate(J, vec(collect(dm))) +end + + +function remove_padding_cig(gradient::AbstractArray{DT}, nb::NTuple{Nd, NTuple{2, Int64}}; true_adjoint::Bool=false) where {DT, Nd} + no = ndims(gradient) - length(nb) + N = size(gradient)[no+1:end] + hd = tuple([Colon() for _=1:no]...) + if true_adjoint + for (dim, (nbl, nbr)) in enumerate(nb) + diml = dim+no + selectdim(gradient, diml, nbl+1) .+= dropdims(sum(selectdim(gradient, diml, 1:nbl), dims=diml), dims=diml) + selectdim(gradient, diml, N[dim]-nbr) .+= dropdims(sum(selectdim(gradient, diml, N[dim]-nbr+1:N[dim]), dims=diml), dims=diml) + end + end + out = gradient[hd..., [nbl+1:nn-nbr for ((nbl, nbr), nn) in zip(nb, N)]...] + return out +end diff --git a/src/judiagent/rag/imagegather/src/surface_gather.jl b/src/judiagent/rag/imagegather/src/surface_gather.jl new file mode 100644 index 0000000..6cbf2b1 --- /dev/null +++ b/src/judiagent/rag/imagegather/src/surface_gather.jl @@ -0,0 +1,99 @@ +import JUDI: AbstractModel + +export surface_gather, double_rtm_cig + +""" + surface_gather(model, q, data; offsets=nothing, options=Options()) + +Compute the surface offset gathers volume (nx (X ny) X nz X no) for via the double rtm method whith `no` offsets. + + +Parameters +* `model`: JUDI Model structure. +* `q`: Source, judiVector. +* `data`: Obeserved data, judiVector. +* `offsets`: List of offsets to compute the gather at. Optional (defaults to 0:10*model.d:model.extent) +* `options`: JUDI Options structure. +""" +function surface_gather(model::AbstractModel, q::judiVector, data::judiVector; offsets=nothing, options=Options()) + isnothing(offsets) && (offsets = 0f0:10*model.d[1]:(model.n[1]-1)*model.d[1]) + offsets = collect(offsets) + pool = JUDI._worker_pool() + # Distribute source + arg_func = i -> (model, q[i], data[i], offsets, options[i]) + # Distribute source + results = JUDI.run_and_reduce(double_rtm_cig, pool, q.nsrc, arg_func) + return results +end + +""" + double_rtm_cig(model, q, data, offsets, options) + +Compute the single shot contribution to the surface offset gather via double rtm. This single source contribution consists of the following steps: + +1. Mute direct arrival in the data. +2. Compute standard RTM ``R``. +3. Compute the offset RTM ``R_o`` for the the weighted data where each trace is weighted by its offset `(rec_x - src_x)`. +4. Compute the envelope ``R_e = \\mathcal{E}(R)`` and ``R_{oe} = \\mathcal{E}(R_o)``. +5. Compute the offset map ``\\frac{R_e \\odot R_{oe}}{R_e \\odot R_e + \\epsilon}``. +6. Apply illumination correction and laplace filter ``R_l = \\mathcal{D} \\Delta R``. +7. Compute each offset contribution ``\\mathcal{I}[:, h] = R_l \\odot \\delta[ha - h]_{tol}`` [`delta_h`](@ref). +8. Return ``\\mathcal{I}``. + +""" +function double_rtm_cig(model_full, q::judiVector, data::judiVector, offs, options) + # Load full geometry for out-of-core geometry containers + data.geometry = Geometry(data.geometry) + q.geometry = Geometry(q.geometry) + + # Limit model to area with sources/receivers + if options.limit_m == true + model = deepcopy(model_full) + model, _ = limit_model_to_receiver_area(q.geometry, data.geometry, model, options.buffer_size) + else + model = model_full + end + + # Set up Python model + modelPy = devito_model(model, options) + dtComp = get_dt(model; dt=options.dt_comp) + + # Extrapolate input data to computational grid + qIn = time_resample(make_input(q), q.geometry, dtComp)[1] + res = time_resample(make_input(data), data.geometry, dtComp)[1] + + # Set up coordinates + src_coords = setup_grid(q.geometry, model.n) # shifts source coordinates by origin + rec_coords = setup_grid(data.geometry, model.n) # shifts rec coordinates by origin + + # Src-rec offsets + scale = 5f3 + off_r = abs.(data.geometry.xloc[1] .- q.geometry.xloc[1]) .+ scale + + # mute + mute!(res, off_r .- scale; dt=dtComp/1f3, t0=.25) + res_o = res .* off_r' + # Double rtm + + rtm, rtmo, illum = JUDI.pylock() do + pycall(impl."double_rtm", Tuple{PyArray, PyArray, PyArray}, + modelPy, qIn, src_coords, res, res_o, rec_coords, space_order=options.space_order) + end + rtm = remove_padding(rtm, modelPy.padsizes) + rtmo = remove_padding(rtmo, modelPy.padsizes) + illum = remove_padding(illum, modelPy.padsizes) + + # offset map + h_map = offset_map(rtm, rtmo; scale=scale) + + rtm = laplacian(rtm) + rtm[illum .> 0] ./= illum[illum .> 0] + + soffs = zeros(Float32, model.n..., length(offs)) + + for (i, h) in enumerate(offs) + soffs[:, :, i] .+= rtm .* delta_h(h_map, h, 2*diff(offs)[1]) + end + GC.gc() + return soffs +end diff --git a/src/judiagent/rag/imagegather/src/utils.jl b/src/judiagent/rag/imagegather/src/utils.jl new file mode 100644 index 0000000..e44e345 --- /dev/null +++ b/src/judiagent/rag/imagegather/src/utils.jl @@ -0,0 +1,100 @@ +export mv_avg_2d, delta_h, envelope, mute, mute!, laplacian, offset_map + +""" + mv_avg_2d(x; k=5) + +2D moving average with a square window of width k +""" +function mv_avg_2d(x::AbstractArray{T, 2}; k=5) where T + out = 1f0 * x + nx, ny = size(x) + kl, kr = k÷2 + 1, k÷2 + for i=kl:nx-kr, j=kl:ny-kr + out[i, j] = sum(x[i+k, j+l] for k=-kr:kr, l=-kr:kr)/k^2 + end + out +end + + +""" + envelope(x) + +Envelope of a vector or a 2D matrix. The envelope over the first dimension is taken for a 2D matrix (see DSP `hilbert`) +""" +envelope(x::AbstractArray{T, 1}) where T = abs.(hilbert(x)) + + +""" + envelope(x) + +Envelope of a vector or a 1D vector (see DSP `hilbert`) + +""" +envelope(x::AbstractArray{T, 2}) where T = abs.(hilbert(x)) + + +""" + delta_h(ha, h, tol) + +Compute the binary mask where `ha` is within `tol` of `h`. +""" +delta_h(ha::AbstractArray{T, 2}, h::Number, tol::Number) where T = Float32.(abs.(h .- ha) .<= tol) + + +""" + mute!(shot, offsets;vp=1500, t0=1/10, dt=0.004) + +In place direct wave muting of a shot record with water sound speed `vp`, time sampling `dt` and firing time `t0`. +""" +function mute!(shot::AbstractArray{Ts, 2}, offsets::Vector{To}; vp=1500, t0=1/10, dt=.004) where {To, Ts} + length(offsets) == size(shot, 2) || throw(DimensionMismatch("Number of offsets has to match the number of traces")) + inds = trunc.(Integer, (offsets ./ vp .+ t0) ./ dt) + inds = min.(max.(1, inds), size(shot, 1)) + for (rx, i) = enumerate(inds) + shot[1:i, rx] .= 0f0 + end +end + + +""" + mute(shot, offsets;vp=1500, t0=1/10, dt=0.004) + +Direct wave muting of a shot record with water sound speed `vp`, time sampling `dt` and firing time `t0`. +""" +function mute(shot::AbstractArray{Ts, 2}, offsets::Vector{To}; vp=1500, t0=1/10, dt=.004) where {To, Ts} + out = Ts(1) .* shot + mute!(out, offsets; vp=vp, t0=t0, dt=dt) + out +end + + +""" + laplacian(image; hx=1, hy=1) + +2D laplacian of an image with grid spacings (hx, hy) +""" +function laplacian(image::AbstractArray{T, 2}; hx=1, hy=1) where T + scale = 1/(hx*hy) + out = 1 .* image + @views begin + out[2:end-1, 2:end-1] .= -4 .* image[2:end-1, 2:end-1] + out[2:end-1, 2:end-1] .+= image[1:end-2, 2:end-1] + image[2:end-1, 1:end-2] + out[2:end-1, 2:end-1] .+= image[3:end, 2:end-1] + image[2:end-1, 3:end] + end + return scale .* out +end + + +""" + offset_map(rtm, rtmo; scale=0) + +Return the regularized least-square division of rtm and rtmo. The regularization consists of the envelope and moving average +followed by the least-square division [`surface_gather`](@ref) +""" +function offset_map(rtm::AbstractArray{T, 2}, rtmo::AbstractArray{T, 2}; scale=0) where T + rtmn = mv_avg_2d(envelope(rtm)) + rtmo = mv_avg_2d(envelope(rtmo)) + + offset_map = rtmn .* rtmo ./ (rtmn .* rtmn .+ eps(Float32)) .- scale + return offset_map +end diff --git a/src/judiagent/rag/imagegather/test/runtests.jl b/src/judiagent/rag/imagegather/test/runtests.jl new file mode 100644 index 0000000..08fad29 --- /dev/null +++ b/src/judiagent/rag/imagegather/test/runtests.jl @@ -0,0 +1,79 @@ +using ImageGather, Test + +using JUDI, LinearAlgebra + +# Set up model structure +n = (301, 151) # (x,y,z) or (x,z) +d = (10., 10.) +o = (0., 0.) + +# Velocity [km/s] +v = 1.5f0 .* ones(Float32,n) +v[:, 76:end] .= 2.5f0 +v0 = 1.5f0 .* ones(Float32,n) +# Slowness squared [s^2/km^2] +m = (1f0 ./ v).^2 +m0 = (1f0 ./ v0).^2 + +# Setup info and model structure +nsrc = 1 # number of sources +model = Model(n, d, o, m; nb=40) +model0 = Model(n, d, o, m0; nb=40) + +dm = model.m - model0.m + +# Set up receiver geometry +nxrec = 151 +xrec = range(0f0, stop=(n[1] -1)*d[1], length=nxrec) +yrec = 0f0 +zrec = range(20f0, stop=20f0, length=nxrec) + +# receiver sampling and recording time +timeD = 2000f0 # receiver recording time [ms] +dtD = 4f0 # receiver sampling interval [ms] + +# Set up receiver structure +recGeometry = Geometry(xrec, yrec, zrec; dt=dtD, t=timeD, nsrc=nsrc) +# Set up source geometry (cell array with source locations for each shot) +xsrc = 1500f0 +ysrc = 0f0 +zsrc = 20f0 + +# Set up source structure +srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtD, t=timeD) +# setup wavelet +f0 = 0.015f0 # kHz +wavelet = ricker_wavelet(timeD, dtD, f0) +q = diff(judiVector(srcGeometry, wavelet)) + +################################################################################################### +opt = Options() +# Setup operators +F = judiModeling(model, srcGeometry, recGeometry; options=opt) +J0 = judiJacobian(F(model0), q) +# Nonlinear modeling +dD = J0*dm +rtm = J0'*dD + +# Common surface offset image gather +offsets = -40f0:model.d[1]:40f0 +nh = length(offsets) + +J = judiExtendedJacobian(F(model0), q, offsets) + +ssodm = J'*dD +@test size(ssodm, 1) == nh + +ssor = zeros(Float32, size(ssodm)...) +for h=1:size(ssor, 1) + ssor[h, :, :] .= dm.data +end + +dDe = J*ssor +# @show norm(dDe - dD), norm(ssor[:] - dm[:]) +a, b = dot(dD, dDe), dot(ssodm[:], ssor[:]) + +@test (a-b)/(a+b) ≈ 0 atol=sqrt(eps(1f0)) rtol=0 + +# Make sure zero offset is the rtm, remove the sumpadding +@test norm(rtm.data - ssodm[div(nh, 2)+1, :, :])/norm(rtm) ≈ 0f0 atol=1f-5 rtol=0 \ No newline at end of file diff --git a/src/judiagent/tools/__init__.py b/src/judiagent/tools/__init__.py index 21bd047..ea64c03 100644 --- a/src/judiagent/tools/__init__.py +++ b/src/judiagent/tools/__init__.py @@ -12,6 +12,7 @@ from judiagent.tools.retrieve import ( lookup_function_docs, search_codebase, + search_imagegather_examples, search_judi_examples, ) @@ -26,4 +27,5 @@ "lookup_function_docs", "search_codebase", "search_judi_examples", + "search_imagegather_examples", ] diff --git a/src/judiagent/tools/retrieve.py b/src/judiagent/tools/retrieve.py index ed27570..a4769f0 100644 --- a/src/judiagent/tools/retrieve.py +++ b/src/judiagent/tools/retrieve.py @@ -118,6 +118,18 @@ class JudiQueryInput(BaseModel): input_schema=JudiQueryInput, ) + +class ImageGatherQueryInput(BaseModel): + query: str = Field(description="Semantic query for ImageGather.jl examples and docs.") + + +search_imagegather_examples = _build_retrieval_tool( + tool_name="search_imagegather_examples", + doc_key="imagegather", + doc_label="ImageGather.jl", + input_schema=ImageGatherQueryInput, +) + # ----------------------------------------------------------------------- # Function documentation lookup # ----------------------------------------------------------------------- @@ -163,7 +175,7 @@ class CodeSearchInput(BaseModel): @tool( "search_codebase", description=( - "Keyword search across JUDI.jl docs and examples. " + "Keyword search across JUDI.jl and ImageGather.jl docs and examples. " "Returns up to 20 matches with file paths and line numbers." ), args_schema=CodeSearchInput, @@ -174,7 +186,10 @@ def search_codebase( use_regex: bool | None = False, ) -> str: try: - search_root = str(PROJECT_ROOT / "rag" / "judi") + search_roots = [ + str(PROJECT_ROOT / "rag" / "judi"), + str(PROJECT_ROOT / "rag" / "imagegather"), + ] cmd = ["grep", "-r", "-n"] cmd.append("-E" if use_regex else "-F") @@ -183,7 +198,8 @@ def search_codebase( else: cmd.extend(["--include=*.jl", "--include=*.md"]) - cmd.extend([query, search_root]) + cmd.append(query) + cmd.extend(search_roots) proc = subprocess.run(cmd, capture_output=True, text=True, timeout=10) if proc.stdout: From bddf43c1c005b849b6dece62e00cb10275d7ff8f Mon Sep 17 00:00:00 2001 From: fherrmann9 Date: Wed, 10 Jun 2026 18:40:45 -0400 Subject: [PATCH 2/4] Add unit tests for ImageGather.jl RAG integration Sixteen tests covering everything we wired in for the new corpus: - Catalog: imagegather is registered with both docs and examples entries, and its cache files / collection names / persist dirs are disjoint from JUDI's so the two indices cannot collide. - Source layout: imagegather/docs/src and imagegather/examples exist and contain files of the declared filetypes. - Tool surface: search_imagegather_examples is exported from judiagent.tools, has the expected name, and references the package in its description. - Codebase grep: search_codebase finds imagegather-only terms (proving the second search root was added) and still finds JUDI-only terms (regression guard for the widening). - Chunking: the JUDI-style `# # Heading` markers we added to the three example scripts produce multiple named chunks per file (instead of the prior one-chunk-per-file behavior), every chunk carries a non-empty heading, and the docs corpus chunks too. - Agent binding: both iterative_agent and react_agent register the new tool, and GATHER_INTELLIGENCE mentions it. - Provenance: the upstream LICENSE is present and THIRD_PARTY.md lists ImageGather.jl on branch ext_PhyParams. Co-Authored-By: Claude Opus 4.7 (1M context) --- tests/unit_tests/test_imagegather_rag.py | 188 +++++++++++++++++++++++ 1 file changed, 188 insertions(+) create mode 100644 tests/unit_tests/test_imagegather_rag.py diff --git a/tests/unit_tests/test_imagegather_rag.py b/tests/unit_tests/test_imagegather_rag.py new file mode 100644 index 0000000..132b76a --- /dev/null +++ b/tests/unit_tests/test_imagegather_rag.py @@ -0,0 +1,188 @@ +"""Unit tests for the ImageGather.jl RAG corpus integration. + +Cover the catalog wiring, retrieval tool surface, widened codebase grep, +chunked-output shape, and agent tool binding for the ``imagegather`` source. +""" + +from __future__ import annotations + +import os +import re +from pathlib import Path + +from judiagent.rag.catalog import RAG_CATALOG +from judiagent.rag.cache import load_chunked_documents +from judiagent.settings import PROJECT_ROOT +from judiagent.tools import search_imagegather_examples +from judiagent.tools.retrieve import search_codebase + + +IMAGEGATHER_EXAMPLE_FILES = ("layers_cig.jl", "layers_sscig.jl", "offset_map.jl") + + +# --------------------------------------------------------------------------- +# Catalog wiring +# --------------------------------------------------------------------------- + +def test_imagegather_corpora_registered_in_catalog(): + assert "imagegather" in RAG_CATALOG + assert set(RAG_CATALOG["imagegather"].keys()) == {"docs", "examples"} + + +def test_imagegather_corpus_specs_are_disjoint_from_judi(): + """Cache files, persist dirs, and collection names must not collide with JUDI.""" + judi = RAG_CATALOG["judi"] + ig = RAG_CATALOG["imagegather"] + + for kind in ("docs", "examples"): + assert ig[kind].cache_file != judi[kind].cache_file + assert ig[kind].collection_name != judi[kind].collection_name + # persist_dir is a callable; sample it with an arbitrary embedding family + assert ig[kind].persist_dir("openai") != judi[kind].persist_dir("openai") + assert "imagegather" in ig[kind].collection_name + assert "imagegather" in ig[kind].cache_file + assert "imagegather" in ig[kind].persist_dir("openai") + + +def test_imagegather_source_dirs_exist_and_contain_expected_filetypes(): + for kind in ("docs", "examples"): + spec = RAG_CATALOG["imagegather"][kind] + assert os.path.isdir(spec.source_dir), f"{kind}: {spec.source_dir} missing" + + matches = [ + f + for root, _, files in os.walk(spec.source_dir) + for f in files + if f.endswith(tuple("." + ext for ext in spec.filetypes)) + ] + assert matches, f"{kind}: no files matching {spec.filetypes} under {spec.source_dir}" + + +def test_imagegather_filetypes_match_source_kind(): + assert RAG_CATALOG["imagegather"]["docs"].filetypes == ("md",) + assert RAG_CATALOG["imagegather"]["examples"].filetypes == ("jl",) + + +# --------------------------------------------------------------------------- +# Retrieval tool surface +# --------------------------------------------------------------------------- + +def test_search_imagegather_examples_is_exported(): + # Imported at the top of this module via `from judiagent.tools import ...` + assert search_imagegather_examples is not None + assert search_imagegather_examples.name == "search_imagegather_examples" + + +def test_search_imagegather_examples_description_references_package(): + description = (search_imagegather_examples.description or "").lower() + assert "imagegather" in description + + +# --------------------------------------------------------------------------- +# Widened codebase grep +# --------------------------------------------------------------------------- + +def test_search_codebase_finds_imagegather_only_terms(): + """A query for a term that exists only in rag/imagegather should return hits + from that tree, proving the second search root was added.""" + result = search_codebase.invoke( + {"query": "judiExtendedJacobian", "file_pattern": None, "use_regex": False} + ) + assert "/rag/imagegather/" in result + assert "No matches" not in result + + +def test_search_codebase_still_finds_judi_only_terms(): + """Regression guard: widening the grep must not break JUDI-side hits.""" + result = search_codebase.invoke( + {"query": "judiModeling", "file_pattern": None, "use_regex": False} + ) + assert "/rag/judi/" in result + assert "No matches" not in result + + +# --------------------------------------------------------------------------- +# Chunking with JUDI-style headings +# --------------------------------------------------------------------------- + +def test_imagegather_example_files_carry_judi_style_headings(): + """Every example file must contain at least one ``# # Heading`` marker so the + Julia example chunker can split it into named sections.""" + examples_dir = Path(RAG_CATALOG["imagegather"]["examples"].source_dir) + heading_re = re.compile(r"^#\s+#\s+\S", re.MULTILINE) + + for name in IMAGEGATHER_EXAMPLE_FILES: + path = examples_dir / name + assert path.exists(), f"{path} missing" + headings = heading_re.findall(path.read_text()) + assert len(headings) >= 3, f"{name}: only {len(headings)} headings (want >= 3)" + + +def test_imagegather_examples_chunk_into_named_sections(): + spec = RAG_CATALOG["imagegather"]["examples"] + chunks = load_chunked_documents(spec) + + # 3 example files, each annotated with multiple `# #` sections. + assert len(chunks) >= len(IMAGEGATHER_EXAMPLE_FILES) * 3 + + # Every chunk has a non-empty heading and a source path under rag/imagegather/. + for chunk in chunks: + assert chunk.metadata.get("heading"), "chunk has no heading" + assert "rag/imagegather/" in chunk.metadata.get("source", "") + + # Each example file contributed at least one chunk. + chunked_sources = {Path(c.metadata["source"]).name for c in chunks} + for name in IMAGEGATHER_EXAMPLE_FILES: + assert name in chunked_sources, f"{name} contributed no chunks" + + +def test_imagegather_docs_chunk_non_empty(): + spec = RAG_CATALOG["imagegather"]["docs"] + chunks = load_chunked_documents(spec) + + assert chunks, "imagegather docs produced zero chunks" + for chunk in chunks: + assert "rag/imagegather/docs/" in chunk.metadata.get("source", "") + + +# --------------------------------------------------------------------------- +# Agent tool binding +# --------------------------------------------------------------------------- + +def test_iterative_agent_binds_imagegather_tool(): + from judiagent.agents.agent import iterative_agent + + tool_names = {t.name for t in iterative_agent.registered_tools} + assert "search_imagegather_examples" in tool_names + assert "search_judi_examples" in tool_names # regression guard + + +def test_react_agent_binds_imagegather_tool(): + from judiagent.agents.autonomous_agent import react_agent + + tool_names = {t.name for t in react_agent.registered_tools} + assert "search_imagegather_examples" in tool_names + assert "search_judi_examples" in tool_names + + +def test_gather_intelligence_prompt_mentions_imagegather_tool(): + from judiagent.prompting.shared import GATHER_INTELLIGENCE + + assert "search_imagegather_examples" in GATHER_INTELLIGENCE + assert "search_judi_examples" in GATHER_INTELLIGENCE + + +# --------------------------------------------------------------------------- +# Provenance and licensing +# --------------------------------------------------------------------------- + +def test_imagegather_license_file_present(): + license_path = PROJECT_ROOT / "rag" / "imagegather" / "LICENSE" + assert license_path.is_file(), "imagegather LICENSE missing" + assert "MIT" in license_path.read_text() + + +def test_third_party_doc_lists_imagegather(): + doc = (PROJECT_ROOT / "rag" / "THIRD_PARTY.md").read_text() + assert "ImageGather.jl" in doc + assert "ext_PhyParams" in doc From 7653685b49805037038ed59210615887e433bbd7 Mon Sep 17 00:00:00 2001 From: fherrmann9 Date: Wed, 10 Jun 2026 22:11:47 -0400 Subject: [PATCH 3/4] Address PR review: trim vendored corpus, use tmp_path in tests, ruff-clean MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Trim src/judiagent/rag/imagegather/ to the material actually used by RAG and attribution — drop the upstream Julia source (src/), tests (test/), CI configs (.github/), Project.toml manifests, docs build script (docs/make.jl), bib file, figures (docs/img/), and the example notebook. Keep LICENSE, README.md (which links to the upstream repo for the dropped artifacts), docs/src/*.md, and examples/*.jl. THIRD_PARTY.md and CHANGELOG.md updated to describe the trimmed snapshot accurately. Refactor the two chunking tests to use pytest tmp_path so the pickle cache no longer lands under src/judiagent/rag/loaded_store/. A small helper _spec_with_tmp_cache uses dataclasses.replace to override the spec's cache_file path while leaving every other field intact. Verified post-run that the loaded_store/ tree contains no imagegather pickles produced by the suite. Ruff-formatted import block in tests/unit_tests/test_imagegather_rag.py (ruff check src tests now passes). git diff --check is clean. Co-Authored-By: Claude Opus 4.7 (1M context) --- CHANGELOG.md | 7 +- src/judiagent/rag/THIRD_PARTY.md | 11 +- .../.github/workflows/CompatHelper.yml | 16 - .../imagegather/.github/workflows/TagBot.yml | 15 - .../imagegather/.github/workflows/docs.yml | 33 - .../.github/workflows/runtests.yml | 42 - src/judiagent/rag/imagegather/Project.toml | 18 - .../rag/imagegather/docs/Project.toml | 4 - .../rag/imagegather/docs/cig-refs.bib | 27 - .../rag/imagegather/docs/img/cig_cdp.png | Bin 340165 -> 0 bytes .../rag/imagegather/docs/img/cig_line.png | Bin 852112 -> 0 bytes src/judiagent/rag/imagegather/docs/make.jl | 11 - .../notebooks/CIG_Working_Example.ipynb | 1331 ----------------- .../rag/imagegather/src/ImageGather.jl | 23 - .../rag/imagegather/src/implementation.py | 160 -- .../rag/imagegather/src/subsurface_gather.jl | 170 --- .../rag/imagegather/src/surface_gather.jl | 99 -- src/judiagent/rag/imagegather/src/utils.jl | 100 -- .../rag/imagegather/test/runtests.jl | 79 - tests/unit_tests/test_imagegather_rag.py | 25 +- 20 files changed, 30 insertions(+), 2141 deletions(-) delete mode 100644 src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml delete mode 100644 src/judiagent/rag/imagegather/.github/workflows/TagBot.yml delete mode 100644 src/judiagent/rag/imagegather/.github/workflows/docs.yml delete mode 100644 src/judiagent/rag/imagegather/.github/workflows/runtests.yml delete mode 100644 src/judiagent/rag/imagegather/Project.toml delete mode 100644 src/judiagent/rag/imagegather/docs/Project.toml delete mode 100644 src/judiagent/rag/imagegather/docs/cig-refs.bib delete mode 100644 src/judiagent/rag/imagegather/docs/img/cig_cdp.png delete mode 100644 src/judiagent/rag/imagegather/docs/img/cig_line.png delete mode 100644 src/judiagent/rag/imagegather/docs/make.jl delete mode 100644 src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb delete mode 100644 src/judiagent/rag/imagegather/src/ImageGather.jl delete mode 100644 src/judiagent/rag/imagegather/src/implementation.py delete mode 100644 src/judiagent/rag/imagegather/src/subsurface_gather.jl delete mode 100644 src/judiagent/rag/imagegather/src/surface_gather.jl delete mode 100644 src/judiagent/rag/imagegather/src/utils.jl delete mode 100644 src/judiagent/rag/imagegather/test/runtests.jl diff --git a/CHANGELOG.md b/CHANGELOG.md index 8ddcdb0..150d171 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -6,8 +6,11 @@ - **ImageGather.jl as a second retrieval corpus.** The agent can now ground generated Julia in ImageGather.jl alongside JUDI.jl. - Cloned `slimgroup/ImageGather.jl@ext_PhyParams` into - `src/judiagent/rag/imagegather/` (`.git` stripped, upstream `LICENSE` - preserved at the corpus root). + `src/judiagent/rag/imagegather/` and trimmed it to the material needed + for retrieval and attribution: `docs/src/*.md`, `examples/*.jl`, the + upstream `LICENSE`, and the upstream `README.md` (which links to the + upstream repo for the figures, notebooks, source code, and tests that + were dropped from this snapshot). - Registered `imagegather/docs` (markdown) and `imagegather/examples` (Julia) in `RAG_CATALOG` (`src/judiagent/rag/catalog.py`), reusing the existing markdown and Julia-example chunkers. diff --git a/src/judiagent/rag/THIRD_PARTY.md b/src/judiagent/rag/THIRD_PARTY.md index 0477a10..8952a6b 100644 --- a/src/judiagent/rag/THIRD_PARTY.md +++ b/src/judiagent/rag/THIRD_PARTY.md @@ -37,11 +37,12 @@ project: for the referenced method papers (Giboli et al., SEG 2012; Dafni & Symes, GJI 2019) and the Zenodo DOI badge for software citation. -The example scripts at `src/judiagent/rag/imagegather/examples/` reference -figures under `docs/img/` and a notebook under `examples/notebooks/` that are -kept alongside the corpus for context but are not themselves ingested by the -retriever (the `imagegather` catalog entries only index `.md` files in -`docs/src/` and `.jl` files in `examples/`). +The vendored snapshot is trimmed to the material needed for retrieval and +attribution: `docs/src/*.md`, `examples/*.jl`, the upstream `LICENSE`, and +`README.md` (which links to the upstream repository for the figures, +notebooks, source code, and tests that were dropped from this snapshot). The +`imagegather` catalog entries only index `.md` files under `docs/src/` and +`.jl` files under `examples/`. ## Distribution Notes diff --git a/src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml b/src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml deleted file mode 100644 index c4652ff..0000000 --- a/src/judiagent/rag/imagegather/.github/workflows/CompatHelper.yml +++ /dev/null @@ -1,16 +0,0 @@ -name: CompatHelper - -on: - schedule: - - cron: '00 00 * * *' - workflow_dispatch: -jobs: - CompatHelper: - runs-on: ubuntu-latest - steps: - - name: Pkg.add("CompatHelper") - run: julia -e 'using Pkg; Pkg.add("CompatHelper")' - - name: CompatHelper.main() - env: - GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} - run: julia -e 'using CompatHelper; CompatHelper.main()' \ No newline at end of file diff --git a/src/judiagent/rag/imagegather/.github/workflows/TagBot.yml b/src/judiagent/rag/imagegather/.github/workflows/TagBot.yml deleted file mode 100644 index f49313b..0000000 --- a/src/judiagent/rag/imagegather/.github/workflows/TagBot.yml +++ /dev/null @@ -1,15 +0,0 @@ -name: TagBot -on: - issue_comment: - types: - - created - workflow_dispatch: -jobs: - TagBot: - if: github.event_name == 'workflow_dispatch' || github.actor == 'JuliaTagBot' - runs-on: ubuntu-latest - steps: - - uses: JuliaRegistries/TagBot@v1 - with: - token: ${{ secrets.GITHUB_TOKEN }} - ssh: ${{ secrets.DOCUMENTER_KEY }} diff --git a/src/judiagent/rag/imagegather/.github/workflows/docs.yml b/src/judiagent/rag/imagegather/.github/workflows/docs.yml deleted file mode 100644 index 4bcd58d..0000000 --- a/src/judiagent/rag/imagegather/.github/workflows/docs.yml +++ /dev/null @@ -1,33 +0,0 @@ -name: Documentation - -on: - push: - branches: - - main - tags: '*' - -jobs: - build: - runs-on: ubuntu-latest - steps: - - uses: actions/checkout@v3 - - - uses: julia-actions/setup-julia@latest - - - name: Add SLIM registery - run: | - julia --color=yes --check-bounds=yes -e 'using Pkg;Pkg.update();Pkg.Registry.add(RegistrySpec(url="https://github.com/slimgroup/SLIMregistryJL.git"))' - - - name: Install dependencies - run: julia --project=docs/ -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate()' - - - - name: Install devito - run: | - python -m pip install --upgrade pip - pip install devito - - - name: Build and deploy - env: - GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }} # For authentication with GitHub Actions token - run: julia --project=docs/ docs/make.jl diff --git a/src/judiagent/rag/imagegather/.github/workflows/runtests.yml b/src/judiagent/rag/imagegather/.github/workflows/runtests.yml deleted file mode 100644 index 9308880..0000000 --- a/src/judiagent/rag/imagegather/.github/workflows/runtests.yml +++ /dev/null @@ -1,42 +0,0 @@ -name: CI - -on: - push: - branches: - - main - pull_request: - branches: - - main - -jobs: - test: - name: Julia ${{ matrix.version }} - ${{ matrix.os }} - runs-on: ${{ matrix.os }} - env: - DEVITO_ARCH: gcc-9 - DEVITO_LANGUAGE: "openmp" - DEVITO_LOGGING: "ERROR" - OMP_NUM_THREADS: 1 - - strategy: - fail-fast: false - - matrix: - version: ['1.6', '1.7', '1.8', '1'] - os: [ubuntu-latest] - - steps: - - name: Checkout ImageGather.jl - uses: actions/checkout@v3 - - - name: Setup julia - uses: julia-actions/setup-julia@v1 - with: - version: ${{ matrix.version }} - - - name: Build ImageGather.jl - uses: julia-actions/julia-buildpkg@latest - - - name: Run tests - id: test - uses: julia-actions/julia-runtest@latest diff --git a/src/judiagent/rag/imagegather/Project.toml b/src/judiagent/rag/imagegather/Project.toml deleted file mode 100644 index a7dc60a..0000000 --- a/src/judiagent/rag/imagegather/Project.toml +++ /dev/null @@ -1,18 +0,0 @@ -name = "ImageGather" -uuid = "355d8124-6b2e-49b5-aab5-cdbc0a5fccbe" -authors = ["mloubout "] -version = "0.2.6" - -[deps] -JUDI = "f3b833dc-6b2e-5b9c-b940-873ed6319979" -LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" - -[compat] -JUDI = "3.3.1" -julia = "1" - -[extras] -Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" - -[targets] -test = ["Test"] diff --git a/src/judiagent/rag/imagegather/docs/Project.toml b/src/judiagent/rag/imagegather/docs/Project.toml deleted file mode 100644 index 7299ab9..0000000 --- a/src/judiagent/rag/imagegather/docs/Project.toml +++ /dev/null @@ -1,4 +0,0 @@ -[deps] -Bibliography = "f1be7e48-bf82-45af-a471-ae754a193061" -Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" -DocumenterCitations = "daee34ce-89f3-4625-b898-19384cb65244" diff --git a/src/judiagent/rag/imagegather/docs/cig-refs.bib b/src/judiagent/rag/imagegather/docs/cig-refs.bib deleted file mode 100644 index a1aebc7..0000000 --- a/src/judiagent/rag/imagegather/docs/cig-refs.bib +++ /dev/null @@ -1,27 +0,0 @@ - -@book{Giboli, -author = {Matteo Giboli and Reda Baina and Laurence Nicoletis and Bertrand Duquet}, -title = {Reverse Time Migration surface offset gathers part 1: a new method to produce ‘classical’ common image gathers}, -booktitle = {SEG Technical Program Expanded Abstracts 2012}, -chapter = {}, -pages = {1-5}, -year = {2012}, -doi = {10.1190/segam2012-1007.1}, -URL = {https://library.seg.org/doi/abs/10.1190/segam2012-1007.1}, -eprint = {https://library.seg.org/doi/pdf/10.1190/segam2012-1007.1}, - abstract = { Common image gathers (CIGs) are classical tools for velocity analysis and for imaging enhancement procedures. Conventionally, this output is available after application of Kirchhoff-type migration algorithms to properly sorted cubes of seismic data (i.e. common-offset). In geologically complex areas, Kirchhoff migration has been replaced by wave-field extrapolation (WE) based depth migration algorithms, such as RTM and one-way WE migration, which produce superior quality images. However, computing the CIGs from WE migrations is not straightforward and still represents a challenge. In this paper we propose a new method to produce Surface Offset CIGs using a reverse time propagator. Note, however, that the proposed scheme does not depend on the particular implementation of WE method. Our intent is to benefit from a two-way wave-field propagation scheme which overcomes the limitation of the asymptotic assumption of ray-based methods, while sorting the output migrated cubes in the same way. As a consequence, we are able to produce CIGs in complex areas (sub-salt, complex overburden, etc.) somewhat closer to the ‘true’ offset gathers. Furthermore, we can replace ‘classical’ Kirchhoff offset gathers as input of most of the standard post-migration processing tools. Because of years of know-how in Kirchhoff type migrations, this method allows for an easier interpretation of migration’s results and, compared to the cost to obtain subsurface CIGs, less computational effort is required. Furthermore, these gathers are potentially suited for velocity model building. We provide the mathematical details of the method and we demonstrate its validity on synthetic examples. } -} - -@article{sscig, - author = {Dafni, Raanan and Symes, William W}, - title = "{Generalized reflection tomography formulation based on subsurface offset extended imaging}", - journal = {Geophysical Journal International}, - volume = {216}, - number = {2}, - pages = {1025-1042}, - year = {2018}, - month = {11}, - abstract = "{The subsurface offset is a possible link connecting wave-equation migration methods, such as reverse-time migration, with the angle-domain. However, it describes an artificial reflection geometry that splits the reflection point between incident and scattered waves. The split configuration contradicts basic principles of continuum mechanics, as it represents action-at-a-distance, and has kinematics distinct from those of ordinary physical reflection. The angle-domain image, computed as a Radon transform of the subsurface offset image, implicitly inherits the split configuration, which distinguishes it from conventional angle-domain decomposition. As a consequence, it shows a dissimilar moveout response to erroneous migration velocity, but still carries valuable information about the migration velocity error.Conventional linearized traveltime inversion techniques, applied for velocity optimization, are most likely to fail while inverting angle-domain images produced from subsurface offset split reflections. These images should be labelled differently to highlight the split mechanism, and input to traveltime inversion algorithms only after a proper generalization. We present a modified linearized traveltime inversion formulation, appropriate for split reflections in the image space. The key ingredient in the algorithm is a subsurface offset depended extension of the traveltime change along migrated split reflection rays. A generalized reflection tomography scheme is proposed accordingly to tie imaging errors, in either the subsurface offset domain or its equivalent angle-domain map, to the migration velocity error.}", - issn = {0956-540X}, - doi = {10.1093/gji/ggy478}, - url = {https://doi.org/10.1093/gji/ggy478}} \ No newline at end of file diff --git a/src/judiagent/rag/imagegather/docs/img/cig_cdp.png b/src/judiagent/rag/imagegather/docs/img/cig_cdp.png deleted file mode 100644 index bb1c600372daef55239b2024ade772f42426a5e6..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 340165 zcmce8cRZHw-}fb}*mB*_jcSt&Hb$ zbl=bYx}WE{|9)Pt?{9o_xz6)Ej?eM=yw_QXrn=H;;tRwW4CeF=W%*ke%<%;b=GfK= zLiiJ}ywQ00A5m9@+pgLUmadQQIa^?E-g9-db#S${xzFTg;p}4LU@ypXjYp7+$=cP` z(M61x*Y3YQz~kU-#oNPK^%=h8q@%Kd3kE}a5B&!(UpmhQgNMP~keAiLrYw6s#u~S7 zZP&bA(Y+JTWfadZbob*c{ZZHCembTvcbQIJ3b-(-bdu}=lj{k*V<$7^P6ep@VqS^M z@FhN={lPuFWbxKb|Lxy{%++u!C700$y0#NL?%Ts-Px2C6=2Apm+Fr4R9wVXRx?Oa) 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b/src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb deleted file mode 100644 index b2a0f99..0000000 --- a/src/judiagent/rag/imagegather/examples/notebooks/CIG_Working_Example.ipynb +++ /dev/null @@ -1,1331 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 7, - "id": "bcc03572", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/Downloads/CIG_Practice`\n", - "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling JUDI [f3b833dc-6b2e-5b9c-b940-873ed6319979]\n", - "WARNING: using JUDI.nbl in module Main conflicts with an existing identifier.\n", - "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling PythonPlot [274fc56d-3b97-40fa-a1cd-1b4a50311bf9]\n", - "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling ImageGather [355d8124-6b2e-49b5-aab5-cdbc0a5fccbe]\n", - "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mJLD2 compat enabled\n" - ] - } - ], - "source": [ - "using Pkg\n", - "Pkg.activate(\"CIG_Practice\")\n", - "\n", - "# Pkg.add([\"ImageGather\", \"PythonPlot\", \"IterativeSolvers\", \"LinearAlgebra\", \"Statistics\", \"Random\"])\n", - "# Pkg.add(name=\"JUDI\", version=\"3.3.8\")\n", - "# Pkg.add(name=\"ImageGather\", version=\"0.2.6\")\n", - "\n", - "using JUDI\n", - "using PythonPlot\n", - "using PythonCall: pyconvert\n", - "using ImageGather\n", - "using Images\n", - "using LinearAlgebra\n", - "using IterativeSolvers\n", - "using Statistics\n", - "using Random" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "dad4a1d1-f4e2-425f-8ae4-8447b571dbad", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "JUDI Options : \n", - "\n", - "space_order : 8\n", - "free_surface : false\n", - "limit_m : false\n", - "buffer_size : 1000.0\n", - "save_data_to_disk : false\n", - "file_path : \n", - "file_name : shot\n", - "sum_padding : false\n", - "optimal_checkpointing : false\n", - "frequencies : Any[]\n", - "IC : as\n", - "subsampling_factor : 1\n", - "dft_subsampling_factor : 1\n", - "return_array : false\n", - "dt_comp : nothing\n", - "f0 : 0.015\n" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "## Acquisition set-up\n", - "startidx = 1\n", - "endidx = 1000\n", - "n_offsets = 51\n", - "offset_start = -300\n", - "offset_end = 300\n", - "\n", - "offsetrange = range(offset_start, stop=offset_end, length=n_offsets)\n", - "\n", - "f0 = 0.018f0\n", - "timeD = timeR = TD = 2000f0\n", - "dtD = 4f0\n", - "dtS = 4f0\n", - "nbl = 80\n", - "\n", - "wavelet = ricker_wavelet(TD, dtS, f0)\n", - "#wavelet = filter_data(wavelet, dtS; fmin=3f0, fmax=Inf)\n", - "\n", - "d = (12.5f0, 12.5f0)\n", - "o = (0f0, 0f0)\n", - "n = (256, 128)\n", - "\n", - "snr = 15f0\n", - "nsrc = 16\t# number of sources\n", - "nrec = n[1]\n", - "\n", - "# Set up receiver structure\n", - "xrec = range(0f0, stop=(n[1]-1)*d[1], length=nrec)\n", - "yrec = 0f0 # WE have to set the y coordiante to zero (or any number) for 2D modeling\n", - "zrec = range(d[1], stop=d[1], length=nrec)\n", - "\n", - "recGeometry = Geometry(xrec, yrec, zrec; dt=dtD, t=timeD, nsrc=nsrc)\n", - "\n", - "# Set up source structure\n", - "xsrc = convertToCell(range(0f0,stop=(n[1]-1)*d[1],length=nsrc))\n", - "ysrc = convertToCell(range(0f0, stop=0f0, length=nsrc))\n", - "zsrc = convertToCell(range(d[1], stop=d[1], length=nsrc))\n", - "\n", - "srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtD, t=timeD)\n", - "\n", - "q = judiVector(srcGeometry, wavelet)\n", - "opt = Options(isic=false)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "2f963218-3b03-4145-8322-094f33f65ce7", - "metadata": {}, - "outputs": [], - "source": [ - "## Velocity model\n", - "vp = zeros(Float32, 256,128);\n", - "vp0 = zeros(Float32, 256,128);\n", - "rho = zeros(Float32, 256,128);\n", - "vp .= 2.0;\n", - "vp[:,65:66] .= 2.5;\n", - "vp0 .= 2.0;\n", - "#vp0 = 1f0./imfilter(1f0./vp, Kernel.gaussian(20))\n", - "\n", - "## density model\n", - "# rho[:,1:64] .= 2.0;\n", - "# rho[:,65:end] .= 2.0;\n", - "#rho0 = imfilter(rho, Kernel.gaussian(10))\n", - "# model_p = Model(n, d, o, (1f0./vp).^2f0; rho=rho, nb=nbl)\n", - "# model_p0 = Model(n, d, o, (1f0./vp0).^2f0; rho=rho0, nb=nbl)\n", - "model = Model(n, d, o, (1f0./vp).^2f0; nb=nbl)\n", - "model0 = Model(n, d, o, (1f0./vp0).^2f0; nb=nbl)\n", - "dm = model.m - model0.m;" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "37b344b4-5344-4b15-b8b8-795a4dc9091b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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//jtatGghZQEdHBzwxx9/VKhXWRmREvGeuDuAo6Mj1q1bh4ULF2L06NFV1hs5ciRKS0vxf//3f2blK1euhJWVlXSfSPk/b3669eY3GzRr1gzBwcH46quvKp064tKlS7XpDgBgw4YNKC4ulj6vW7cOJSUlUtsCAwOhUqmwZMkSs3o1PXbLli1hNBorlJcHiTdOWVBaWlrlsHF1Ll68iG+++Ub6bDKZ8Mknn6BPnz5SFrFZs2YVshFbt27FhQsXKrQXqBhcVkbu911TcqYYsbGxwf/+9z/s2LHD7IJ58eJFfP755/Dz85OV/aqL+r4nriGVP20q53u9UadOnXD48GGzrObOnTuRmZlpVu+xxx7DhQsX8MEHH1TYx7Vr13D16tUqj9GxY0cEBARIy8CBA2vUxoai1+vN7hfNzMzEt99+i+HDh6NZs2Zo1qwZAgICsH37dly8eFGq98cff1S4H5RIqZiJu0NUNZx5o9GjR2Po0KF49dVX8ddff6F3797YtWsXvv32W0yfPl0KXPr06YPx48dj7dq1MBqNuO+++7Bnz55K/+/1rbfeQkJCAvz8/DBlyhR069YNOTk5+OWXX7B7927k5OTUqj9FRUXw9/fHY489hvT0dKxduxaDBg3CQw89BOD6PW/r1q3Dk08+iXvvvRchISFwdnZGRkYGvv/+ewwcOLBC8FIZHx8ffPHFF4iKikK/fv3g6OiI0aNHo3v37hgwYADmzp2LnJwcODk5YcuWLSgpKalxX+655x6Eh4fj6NGjcHV1xUcffYSsrCxs2rRJqvPggw9i8eLFmDx5Mu677z6cOHECMTExZtkU4PpFW6PRYP369WjVqhVatmwJPz+/SqdnkPt915TcKUbefPNN7NmzB4MHD0ZERARsbGywfv16FBUVYfny5bU6dk3U9z1xDal58+bo1q0bvvjiC9xzzz1wcnJCjx49pKkyqvL0009j27ZtCAoKwmOPPYazZ8/is88+q/DdPvnkk/jyyy/x7LPPIiEhAQMHDkRpaSlOnz6NL7/8Ej/99BN8fX0bsov1rkePHggMDDSbYgSA2dDvwoULsWvXLgwcOBDPPfec9D81PXr0sJhX19EdrkmeiaUGdeMUI9W5eYoRIa5PzTFjxgzh5uYmbG1tRZcuXcSyZcvMpnYQQohr166JadOmiTZt2oiWLVuK0aNHi8zMzEqnA8jKyhIRERHC3d1d2NraCq1WK/z9/cWGDRukOjWdYmT//v1i6tSponXr1sLR0VGEhoaK//77r0L9hIQEERgYKNRqtXBwcBCdOnUSkyZNMpt6ICwsTLRs2bLS4+Xl5YkJEyYIjUYjAJhN0XH27FkREBAg7O3thaurq3jllVdEfHx8pVOMdO/evdL9l38HP/30k+jVq5ewt7cXXl5eYuvWrWb1CgoKxMyZM0W7du1E8+bNxcCBA4Ver68wVYQQQnz77beiW7du0jQJ5ef05ilGhJD/fQMQERERlbb/5iksIHNaDiGESE5OFoGBgaJly5aiRYsWYsiQISIxMdGsTlW/5wULFggA4tKlS2bl1X2fDaWq77iyvzEhqj6f1Tl06JDw8fERdnZ2Zn9nt+rvO++8I+666y5hb28vBg4cKI4dO1bp76aoqEi8/fbbonv37sLe3l60bt1a+Pj4iEWLFgmj0VijtlanqvbW9BxWp/z8fvbZZ6JLly7C3t5e9O3b1+zvstyePXtE3759hZ2dnejUqZP48MMPxcyZM4WDg0ONjknUFKyE4B2jZDk2b96MyZMn4+jRoxaXGSAiyzBmzBikpqZWel8dkZLwnjgiIrpj3fyE8pkzZ/DDDz9UeC0ZkRLxnjgioiZSWlp6y4dsHB0da/26t9tN+eTXVWnevLmsV6TdqGPHjpg0aRI6duyI8+fPY926dbCzs8PLL79cl6YSNQoGcURETSQzM/OW7wRdsGCB9LL7O127du2qXR8WFobNmzfXaJ9BQUH4/PPPYTAYYG9vD51OhyVLllQ6WTCR0txR98StWbMGy5Ytg8FgQO/evbF69Wr079+/qZtFRHeogoICHDhwoNo6HTt2rPAU8p1q9+7d1a53c3OzmCeOqXZqeh3funUr5s2bh7/++gtdunTB22+/Lc0nClyfSHrBggX44IMPkJubi4EDB2LdunWWE8Q36WMVjWjLli3Czs5OfPTRRyI1NVVMmTJFaDQakZWV1dRNIyIioluo6XX84MGDolmzZmLp0qXi1KlT4rXXXhO2trbixIkTUp233npLqNVqsX37dvHrr7+Khx56SHTo0EFcu3atsbpVJ3dMJs7Pzw/9+vWT5gYrKyuDu7s7XnjhBcyZM6eJW0dERETVqel1/PHHH8fVq1exc+dOqWzAgAHo06cP1q9fDyEE3NzcMHPmTLz00ksArr+Oz9XVFZs3b0ZISEjjdKwO7oh74oqKipCcnIy5c+dKZdbW1ggICIBer690m8LCQrP3OpaVlSEnJwdt2rSp9StwiIiI6pMQAleuXIGbm1uN3v9cWwUFBRXea1xb4qbXDQLX3wNsb29foW5truN6vR5RUVFmZYGBgdi+fTsA4Ny5czAYDGavZlSr1fDz84Ner2cQpxT//vsvSktL4erqalbu6upa6bsbASA6OtpsZm8iIiKlyszMxN13392gxygoKECHDh1u+ZSwXI6OjsjLyzMrq+pBntpcxw0GQ6X1y9tf/s/q6ijdHRHE1cbcuXPNInij0QgPDw9kZmZCpVI1YcuIiIiuM5lMcHd3R6tWrRr8WEVFRTAYDPVyHSxv9837qiwLR1W7I4K4tm3bolmzZsjKyjIrz8rKkl4wfrOqUroqlYpBHBERKUpj3ubTqlWrOgeN5bfjy72m1uY6rtVqq61f/s+srCyz6WuysrLQp08f2X1pSnfEGxvs7Ozg4+ODPXv2SGVlZWXYs2cPdDpdE7aMiIjIsggh6mWpidpcx3U6nVl9AIiPj5fqd+jQAVqt1qyOyWRCUlKSxcQGd0QmDgCioqIQFhYGX19f9O/fH++++y6uXr2KyZMnN3XTiIiI6BZudR2fOHEi7rrrLkRHRwMAXnzxRQwZMgTvvPMORo0ahS1btuDYsWPYsGEDgOvZy+nTp+ONN95Aly5d0KFDB8ybNw9ubm4YM2ZMU3WzRu6YIO7xxx/HpUuXMH/+fBgMBvTp0wdxcXEVbmgkIiKiqtUmk1bZPmrqVtfxjIwMsyd077vvPsTGxuK1117DK6+8gi5dumD79u3o0aOHVOfll1/G1atXMXXqVOTm5mLQoEGIi4uDg4NDnfrXWO6YeeLqymQyQa1Ww2g08p44IiJShMa8NpUf67///quXBxvatGnDa2od3RH3xBERERHdbu6Y4VQiIiKqu6YaTqWKGMQRERGRbAzilIPDqUREREQWiJk4IiIiko2ZOOVgEEdERESyMYhTDg6nEhEREVkgZuKIiIhINmbilINBHBEREcnGIE45OJxKREREZIGYiSMiIiLZmIlTDgZxREREJBuDOOXgcCoRERGRBWImjoiIiGRjJk45GMQRERGRbAzilIPDqUREREQWiJk4IiIiko2ZOOVgEEdERESyMYhTDg6nEhEREVkgZuKIiIhINmbilINBHBEREcnGIE45OJxKREREZIGYiSMiIqIaYSZNGRjEERERkWwcTlUODqcSERERWSBm4oiIiEg2ZuKUg0EcERERycYgTjk4nEpERERkgZiJIyIiItmYiVMOBnFEREQkG4M45eBwKhEREZEFYiaOiIiIZGMmTjmYiSMiIiLZyoO4ui4NJScnB6GhoVCpVNBoNAgPD0deXl612xQUFCAiIgJt2rSBo6MjgoODkZWVZVZn2rRp8PHxgb29Pfr06dNg7a8JBnFERER02wgNDUVqairi4+Oxc+dOJCYmYurUqdVuM2PGDOzYsQNbt27F/v37cfHiRYwdO7ZCvaeeegqPP/54QzW9xjicSkRERLIpeTg1LS0NcXFxOHr0KHx9fQEAq1evxsiRI7F8+XK4ublV2MZoNGLjxo2IjY3FsGHDAACbNm2Ct7c3Dh8+jAEDBgAAVq1aBQC4dOkSfvvttwZpf00xE0dERESy1edwqslkMlsKCwvr1Da9Xg+NRiMFcAAQEBAAa2trJCUlVbpNcnIyiouLERAQIJV5eXnBw8MDer2+Tu1paAziiIiIqEm4u7tDrVZLS3R0dJ32ZzAY4OLiYlZmY2MDJycnGAyGKrexs7ODRqMxK3d1da1yG6VQfBAXHR2Nfv36oVWrVnBxccGYMWOQnp5uVkfODYkZGRkYNWoUWrRoARcXF8yaNQslJSWN2RUiIiKLV5+ZuMzMTBiNRmmZO3dupcecM2cOrKysql1Onz7dmKdBERR/T9z+/fsRERGBfv36oaSkBK+88gqGDx+OU6dOoWXLlgCu35D4/fffY+vWrVCr1YiMjMTYsWNx8OBBAEBpaSlGjRoFrVaLQ4cO4Z9//sHEiRNha2uLJUuWNGX3iIiILEp93hOnUqmgUqluWX/mzJmYNGlStXU6duwIrVaL7Oxss/KSkhLk5ORAq9VWup1Wq0VRURFyc3PNsnFZWVlVbqMUig/i4uLizD5v3rwZLi4uSE5OxuDBg2XdkLhr1y6cOnUKu3fvhqurK/r06YPXX38ds2fPxsKFC2FnZ9cUXSMiIiIZnJ2d4ezsfMt6Op0Oubm5SE5Oho+PDwBg7969KCsrg5+fX6Xb+Pj4wNbWFnv27EFwcDAAID09HRkZGdDpdPXXiQag+OHUmxmNRgCAk5MTAHk3JOr1evTs2ROurq5SncDAQJhMJqSmplZ6nMLCwgo3XBIREd3plDxPnLe3N4KCgjBlyhQcOXIEBw8eRGRkJEJCQqQnUy9cuAAvLy8cOXIEAKBWqxEeHo6oqCgkJCQgOTkZkydPhk6nk55MBYA//vgDKSkpMBgMuHbtGlJSUpCSkoKioqIG6Yscis/E3aisrAzTp0/HwIED0aNHDwDybkg0GAxmAVz5+vJ1lYmOjsaiRYvquQdERESWTclTjABATEwMIiMj4e/vD2trawQHB0vTgwBAcXEx0tPTkZ+fL5WtXLlSqltYWIjAwECsXbvWbL9PP/009u/fL33u27cvAODcuXNo3759g/WnOhYVxEVERODkyZM4cOBAgx9r7ty5iIqKkj6bTCa4u7s3+HGJiIio9pycnBAbG1vl+vbt21cIIh0cHLBmzRqsWbOmyu327dtXX02sNxYTxEVGRkozL999991SuZwbErVarZQ2vXF9+brK2Nvbw97evp57QUREZNmUnom7kyj+njghBCIjI/HNN99g79696NChg9n6G29ILHfzDYk6nQ4nTpwwe2IlPj4eKpUK3bp1a5yOEBER3QaUfE/cnUbxmbiIiAjExsbi22+/RatWraR72NRqNZo3b252Q6KTkxNUKhVeeOEFsxsShw8fjm7duuHJJ5/E0qVLYTAY8NprryEiIoLZNiIiIrJIig/i1q1bBwB44IEHzMo3bdokzRlzqxsSmzVrhp07d+K5556DTqdDy5YtERYWhsWLFzdWN4iIiG4LHE5VDivBMymLyWSCWq2G0WiUNTEhERFRQ2vMa1P5sX755Re0atWqTvu6cuUK7r33Xl5T60jx98QRERERUUWKH04lIiIiZeEgnjIwiCMiIiLZeE+ccnA4lYiIiMgCMRNHREREsjETpxwM4oiIiEg2BnHKweFUIiIiIgvETBwRERHJxkyccjCIIyIiItkYxCkHh1OJiIiILBAzcURERCQbM3HKwSCOiIiIZGMQpxwcTiUiIiKyQMzEERERkWzMxCkHgzgiIiKSjUGccnA4lYiIiMgCMRNHREREsjETpxwM4oiIiEg2BnHKweFUIiIiIgvETBwRERHJxkyccjCIIyIiItkYxCkHh1OJiIiILBAzcURERCQbM3HKwSCOiIiIZGMQpxwcTiUiIiKyQMzEERERkWzMxCkHM3FEREQkW3kQV9eloeTk5CA0NBQqlQoajQbh4eHIy8urdpuCggJERESgTZs2cHR0RHBwMLKysqT1v/76K8aPHw93d3c0b94c3t7eeO+99xqsD3IxiCMiIqLbRmhoKFJTUxEfH4+dO3ciMTERU6dOrXabGTNmYMeOHdi6dSv279+PixcvYuzYsdL65ORkuLi44LPPPkNqaipeffVVzJ07F//3f//X0N2plpVgTlMWk8kEtVoNo9EIlUrV1M0hIiJq1GtT+bH27NmDli1b1mlfV69ehb+/f723Oy0tDd26dcPRo0fh6+sLAIiLi8PIkSPx999/w83NrcI2RqMRzs7OiI2Nxbhx4wAAp0+fhre3N/R6PQYMGFDpsSIiIpCWloa9e/fWW/tripk4IiIikk3Jw6l6vR4ajUYK4AAgICAA1tbWSEpKqnSb5ORkFBcXIyAgQCrz8vKCh4cH9Hp9lccyGo1wcnKqv8bXAh9sICIioiZhMpnMPtvb28Pe3r7W+zMYDHBxcTErs7GxgZOTEwwGQ5Xb2NnZQaPRmJW7urpWuc2hQ4fwxRdf4Pvvv691W+sDM3FEREQkW31m4tzd3aFWq6UlOjq60mPOmTMHVlZW1S6nT59ulP6fPHkSDz/8MBYsWIDhw4c3yjGrwkwcERERyVafU4xkZmaa3RNXVRZu5syZmDRpUrX77NixI7RaLbKzs83KS0pKkJOTA61WW+l2Wq0WRUVFyM3NNcvGZWVlVdjm1KlT8Pf3x9SpU/Haa69V257GwCCOiIiImoRKpZL1YIOzszOcnZ1vWU+n0yE3NxfJycnw8fEBAOzduxdlZWXw8/OrdBsfHx/Y2tpiz549CA4OBgCkp6cjIyMDOp1Oqpeamophw4YhLCwMb775ppzuNTgOpxIREZFsSn6wwdvbG0FBQZgyZQqOHDmCgwcPIjIyEiEhIdKTqRcuXICXlxeOHDkCAFCr1QgPD0dUVBQSEhKQnJyMyZMnQ6fTSU+mnjx5EkOHDsXw4cMRFRUFg8EAg8GAS5cuNUg/5GImjoiIiGRT+hsbYmJiEBkZCX9/f1hbWyM4OBirVq2S1hcXFyM9PR35+flS2cqVK6W6hYWFCAwMxNq1a6X127Ztw6VLl/DZZ5/hs88+k8o9PT3x119/NVhfboXzxMnEeeKIiEhpmmKeuLi4uHqZJy4oKIjX1DqyqOHUt956C1ZWVpg+fbpUdqtXZQBARkYGRo0ahRYtWsDFxQWzZs1CSUlJI7eeiIjI8il5OPVOYzFB3NGjR/H++++jV69eZuW3elVGaWkpRo0ahaKiIhw6dAgff/wxNm/ejPnz5zd2F4iIiCwegzjlsIggLi8vD6Ghofjggw/QunVrqdxoNGLjxo1YsWIFhg0bBh8fH2zatAmHDh3C4cOHAQC7du3CqVOn8Nlnn6FPnz4YMWIEXn/9daxZswZFRUVN1SUiIiKiOrGIIC4iIgKjRo0yeyUGIO9VGXq9Hj179oSrq6tUJzAwECaTCampqVUes7CwECaTyWwhIiK60zETpxyKfzp1y5Yt+OWXX3D06NEK6+S8KsNgMJgFcOXry9dVJTo6GosWLapj64mIiG4vSn869U6i6ExcZmYmXnzxRcTExMDBwaFRjz137lwYjUZpyczMbNTjExEREVVH0UFccnIysrOzce+998LGxgY2NjbYv38/Vq1aBRsbG7i6ukqvyrjRja/K0Gq1FZ5WLf9c1Ss4gOuv/iifSVrujNJERES3Ow6nKoeigzh/f3+cOHECKSkp0uLr64vQ0FDp38tflVHu5ldl6HQ6nDhxwuxdavHx8VCpVOjWrVuj94mIiMiSMYhTDkXfE9eqVSv06NHDrKxly5Zo06aNVF7+qgwnJyeoVCq88MILZq/KGD58OLp164Ynn3wSS5cuhcFgwGuvvYaIiIgqX7RLREREpHSKDuLkuNWrMpo1a4adO3fiueeeg06nQ8uWLREWFobFixc3YauJiIgsEx9sUA6+dksmvnaLiIiUpileu7V9+/Z6ee3WmDFjeE2tI0XfE0dERERElbP44VQiIiJqPBxOVQ4GcURERCQbgzjl4HAqERERkQViJo6IiIhkYyZOORjEERERkWwM4pSDw6lEREREFoiZOCIiIqoRZtKUgUEcERERycbhVOXgcCoRERGRBWImjoiIiGRjJk45GMQRERGRbAzilIPDqUREREQWiJk4IiIiko2ZOOVgEEdERESyMYhTDg6nEhEREVkgZuKIiIhINmbilINBHBEREcnGIE45OJxKREREZIGYiSMiIiLZmIlTDgZxREREJBuDOOXgcCoRERHdNnJychAaGgqVSgWNRoPw8HDk5eVVu01BQQEiIiLQpk0bODo6Ijg4GFlZWdL6//77D0FBQXBzc4O9vT3c3d0RGRkJk8nU0N2pFoM4IiIikq08E1fXpaGEhoYiNTUV8fHx2LlzJxITEzF16tRqt5kxYwZ27NiBrVu3Yv/+/bh48SLGjh0rrbe2tsbDDz+M7777Dr///js2b96M3bt349lnn22wfshhJZjTlMVkMkGtVsNoNEKlUjV1c4iIiBr12lR+rI8//hgtWrSo077y8/MRFhZW7+1OS0tDt27dcPToUfj6+gIA4uLiMHLkSPz9999wc3OrsI3RaISzszNiY2Mxbtw4AMDp06fh7e0NvV6PAQMGVHqsVatWYdmyZcjMzKy39tcUM3FERETUJEwmk9lSWFhYp/3p9XpoNBopgAOAgIAAWFtbIykpqdJtkpOTUVxcjICAAKnMy8sLHh4e0Ov1lW5z8eJFfP311xgyZEid2ltXDOKIiIhItvocTnV3d4darZaW6OjoOrXNYDDAxcXFrMzGxgZOTk4wGAxVbmNnZweNRmNW7urqWmGb8ePHo0WLFrjrrrugUqnw4Ycf1qm9dcUgjoiIiGSrzyAuMzMTRqNRWubOnVvpMefMmQMrK6tql9OnTzd431euXIlffvkF3377Lc6ePYuoqKgGP2Z1OMUIERERNQmVSiXrnriZM2di0qRJ1dbp2LEjtFotsrOzzcpLSkqQk5MDrVZb6XZarRZFRUXIzc01y8ZlZWVV2Ear1UKr1cLLywtOTk64//77MW/ePLRr1+6WfWgIDOKIiIhItqaYJ87Z2RnOzs63rKfT6ZCbm4vk5GT4+PgAAPbu3YuysjL4+flVuo2Pjw9sbW2xZ88eBAcHAwDS09ORkZEBnU5X5bHKysoAoM738dUFgzgiIiKSTcmT/Xp7eyMoKAhTpkzB+vXrUVxcjMjISISEhEhPpl64cAH+/v745JNP0L9/f6jVaoSHhyMqKgpOTk5QqVR44YUXoNPppCdTf/jhB2RlZaFfv35wdHREamoqZs2ahYEDB6J9+/YN0hc5GMQRERHRbSMmJgaRkZHw9/eHtbU1goODsWrVKml9cXEx0tPTkZ+fL5WtXLlSqltYWIjAwECsXbtWWt+8eXN88MEHmDFjBgoLC+Hu7o6xY8dizpw5jdq3m3GeOJk4TxwRESlNU8wT9+GHH9bLPHFPP/00r6l1xEwcERERyabk4dQ7DacYISIiIrJAzMQRERGRbMzEKQeDOCIiIqoRBmHKwOFUIiIiIguk+CDuwoULeOKJJ9CmTRs0b94cPXv2xLFjx6T1QgjMnz8f7dq1Q/PmzREQEIAzZ86Y7SMnJwehoaFQqVTQaDQIDw9HXl5eY3eFiIjI4tXna7eobhQdxF2+fBkDBw6Era0tfvzxR5w6dQrvvPMOWrduLdVZunQpVq1ahfXr1yMpKQktW7ZEYGAgCgoKpDqhoaFITU1FfHw8du7cicTEREydOrUpukRERGTRGMQph6LviXv77bfh7u6OTZs2SWUdOnSQ/l0IgXfffRevvfYaHn74YQDAJ598AldXV2zfvh0hISFIS0tDXFwcjh49Cl9fXwDA6tWrMXLkSCxfvlyawZmIiIjIkig6E/fdd9/B19cXjz76KFxcXNC3b1988MEH0vpz587BYDAgICBAKlOr1fDz84NerwcA6PV6aDQaKYADgICAAFhbWyMpKanKYxcWFsJkMpktREREdzpm4pRD0UHcn3/+iXXr1qFLly746aef8Nxzz2HatGn4+OOPAQAGgwEA4Orqaradq6urtM5gMMDFxcVsvY2NDZycnKQ6lYmOjoZarZYWd3f3+uwaERGRRWIQpxyKDuLKyspw7733YsmSJejbty+mTp0qvdS2oc2dOxdGo1FaMjMzG/yYRERERHIpOohr164dunXrZlbm7e2NjIwMAIBWqwUAZGVlmdXJysqS1mm1WmRnZ5utLykpQU5OjlSnMvb29lCpVGYLERHRnY6ZOOVQdBA3cOBApKenm5X9/vvv8PT0BHD9IQetVos9e/ZI600mE5KSkqDT6QAAOp0Oubm5SE5Olurs3bsXZWVl8PPza4ReEBER3T4YxCmHop9OnTFjBu677z4sWbIEjz32GI4cOYINGzZgw4YNAAArKytMnz4db7zxBrp06YIOHTpg3rx5cHNzw5gxYwBcz9wFBQVJw7DFxcWIjIxESEgIn0wlIiIii6XoIK5fv3745ptvMHfuXCxevBgdOnTAu+++i9DQUKnOyy+/jKtXr2Lq1KnIzc3FoEGDEBcXBwcHB6lOTEwMIiMj4e/vD2trawQHB2PVqlVN0SUiIiKLxnenKoeV4JmUxWQyQa1Ww2g08v44IiJShMa8NpUfa9WqVWjevHmd9nXt2jVMmzaN19Q6UvQ9cURERERUOUUPpxIREZGycDhVORjEERERkWwM4pSDw6lEREREFoiZOCIiIpKNmTjlYBBHREREsjGIUw4OpxIRERFZIGbiiIiISDZm4pSDQRwRERHJxiBOOTicSkRERGSBmIkjIiIi2ZiJUw4GcURERCQbgzjl4HAqERERkQViJo6IiIhkYyZOOZiJIyIiIrJAzMQRERFRjTCTpgzMxBEREZFs5cOpdV0aSk5ODkJDQ6FSqaDRaBAeHo68vLxqtykoKEBERATatGkDR0dHBAcHIysrq9K6//33H+6++25YWVkhNze3AXogH4M4IiIium2EhoYiNTUV8fHx2LlzJxITEzF16tRqt5kxYwZ27NiBrVu3Yv/+/bh48SLGjh1bad3w8HD06tWrIZpeYwziiIiISDYlZ+LS0tIQFxeHDz/8EH5+fhg0aBBWr16NLVu24OLFi5VuYzQasXHjRqxYsQLDhg2Dj48PNm3ahEOHDuHw4cNmddetW4fc3Fy89NJLDdL+mmIQR0RERLLVZxBnMpnMlsLCwjq1Ta/XQ6PRwNfXVyoLCAiAtbU1kpKSKt0mOTkZxcXFCAgIkMq8vLzg4eEBvV4vlZ06dQqLFy/GJ598AmtrZYRPymgFERER3XHc3d2hVqulJTo6uk77MxgMcHFxMSuzsbGBk5MTDAZDldvY2dlBo9GYlbu6ukrbFBYWYvz48Vi2bBk8PDzq1Mb6xKdTiYiISLb6nCcuMzMTKpVKKre3t6+0/pw5c/D2229Xu8+0tLQ6tak6c+fOhbe3N5544okGO0ZtMIgjIiIi2eoziFOpVGZBXFVmzpyJSZMmVVunY8eO0Gq1yM7ONisvKSlBTk4OtFptpdtptVoUFRUhNzfXLBuXlZUlbbN3716cOHEC27ZtM2t/27Zt8eqrr2LRokW37ENDYBBHREREiubs7AxnZ+db1tPpdMjNzUVycjJ8fHwAXA/AysrK4OfnV+k2Pj4+sLW1xZ49exAcHAwASE9PR0ZGBnQ6HQDgq6++wrVr16Rtjh49iqeeego///wzOnXqVNfu1RqDOCIiIpJNya/d8vb2RlBQEKZMmYL169ejuLgYkZGRCAkJgZubGwDgwoUL8Pf3xyeffIL+/ftDrVYjPDwcUVFRcHJygkqlwgsvvACdTocBAwYAQIVA7d9//5WOd/O9dI2JQRwRERHJpuQgDgBiYmIQGRkJf39/WFtbIzg4GKtWrZLWFxcXIz09Hfn5+VLZypUrpbqFhYUIDAzE2rVrG6yN9aVGQVxaWhq2bNmCn3/+GefPn0d+fj6cnZ3Rt29fBAYGIjg4uMqbEomIiIgampOTE2JjY6tc3759+wpBpIODA9asWYM1a9bIOsYDDzygiFePyZpi5JdffkFAQAD69u2LAwcOwM/PD9OnT8frr7+OJ554AkIIvPrqq3Bzc8Pbb79d53leiIiISJmUPNnvnUZWJi44OBizZs3Ctm3bqh371ev1eO+99/DOO+/glVdeqa82EhERkUIofTj1TiIriPv9999ha2t7y3o6nQ46nQ7FxcV1bhgRERERVU1WECcngKtLfSIiIrIMzMQpR62eTj169CgSEhKQnZ2NsrIys3UrVqyol4YRERGR8jCIU44aB3FLlizBa6+9hq5du8LV1RVWVlbSuhv/nYiIiIgaTo2DuPfeew8fffTRLV9/QURERLcfZuKUo8ZBnLW1NQYOHNgQbSEiIiKFYxBXOwUFBVi9enWVt6P98ssvNd5njYO4GTNmYM2aNXj33XdrfDAiIiKiO1F4eDh27dqFcePGoX///vVyC1qNg7iXXnoJo0aNQqdOndCtW7cKT6J+/fXXdW4UERERKRMzcbWzc+dO/PDDD/U6minrjQ03mjZtGhISEnDPPfegTZs2UKvVZkt9Ki0txbx589ChQwc0b94cnTp1wuuvv2725QshMH/+fLRr1w7NmzdHQEAAzpw5Y7afnJwchIaGQqVSQaPRIDw8HHl5efXaViIiojsB39hQO3fddRdatWpVr/uscSbu448/xldffYVRo0bVa0Mq8/bbb2PdunX4+OOP0b17dxw7dgyTJ0+GWq3GtGnTAABLly7FqlWr8PHHH6NDhw6YN28eAgMDcerUKTg4OAAAQkND8c8//yA+Ph7FxcWYPHkypk6dWu271YiIiIjqyzvvvIPZs2dj/fr18PT0rJd91jiIc3JyQqdOnerl4Ldy6NAhPPzww1LA2L59e3z++ec4cuQIgOv/N/Duu+/itddew8MPPwwA+OSTT+Dq6ort27cjJCQEaWlpiIuLw9GjR+Hr6wsAWL16NUaOHInly5fDzc2tUfpCRER0O+Bwau34+vqioKAAHTt2RIsWLSrcjpaTk1PjfdY4iFu4cCEWLFiATZs2oUWLFjU+YE3cd9992LBhA37//Xfcc889+PXXX3HgwAFpQuFz587BYDAgICBA2katVsPPzw96vR4hISHQ6/XQaDRSAAcAAQEBsLa2RlJSEh555JEatSknJ4evFSMiIkW4cuVKox+TQVztjB8/HhcuXMCSJUsqzLNbWzUO4latWoWzZ8/C1dUV7du3rxBJ1uYR2arMmTMHJpMJXl5eaNasGUpLS/Hmm28iNDQUAGAwGAAArq6uZtu5urpK6wwGA1xcXMzW29jYwMnJSapTmcLCQhQWFkqfTSYTAGDdunWwt7eve+eIiIjq6MbrFCnboUOHoNfr0bt373rbZ42DuDFjxtTbwW/lyy+/RExMDGJjY9G9e3ekpKRg+vTpcHNzQ1hYWIMeOzo6GosWLapQ/v777/PNFEREpAhNldG6EzNpdeXl5YVr167V6z5rHMQtWLCgXhtQnVmzZmHOnDkICQkBAPTs2RPnz59HdHQ0wsLCoNVqAQBZWVlo166dtF1WVhb69OkDANBqtcjOzjbbb0lJCXJycqTtKzN37lxERUVJn00mE9zd3WE0Guure0RERBaHw6m189Zbb2HmzJl488030bNnzwojmSqVqsb7lBXECSGaJPuUn58Pa2vzWVCaNWsmzXLcoUMHaLVa7NmzRwraTCYTkpKS8NxzzwEAdDodcnNzkZycDB8fHwDA3r17UVZWBj8/vyqPbW9vz2FTIiIiqhdBQUEAgGHDhpnFVOUxVmlpaY33KSuI6969O+bPn4+xY8fCzs6uynpnzpzBihUr4OnpiTlz5tS4MTcbPXo03nzzTXh4eKB79+44fvw4VqxYgaeeegoAYGVlhenTp+ONN95Aly5dpClG3NzcpGFfb29vBAUFYcqUKVi/fj2Ki4sRGRmJkJAQPplKRERUQ8zE1U5CQkK971NWELd69WrMnj0bzz//PP73v//B19cXbm5ucHBwwOXLl3Hq1CkcOHAAqampiIyMlLJgdbV69WrMmzcPzz//PLKzs+Hm5oZnnnkG8+fPl+q8/PLLuHr1KqZOnYrc3FwMGjQIcXFx0hxxABATE4PIyEj4+/vD2toawcHBWLVqVa3apNFoeE8cEREpghACubm5jX5MBnE1N2TIEADXRwN37tyJf//9F126dMHTTz9tdktYTViJGpzJAwcO4IsvvsDPP/+M8+fP49q1a2jbti369u2LwMBAhIaGonXr1rVqiNKZTCao1WrMmTOHw6xERKQIhYWFeOutt2A0Gmt1T1VNlF8HZ82aVefrYGFhIZYtW9Yo7W5qb7zxBu69916MHDkS7777LpYvX47+/ftDCIGkpCTk5eUhMTFRui2sJmr0YMOgQYMwaNCgGh/kdvLMM8/c9j84IiKyDCaTCW+99VajHpOZuJp5//33ERcXh4KCAhw5cgRnz56VguCioiKEh4cjKioKe/furfG+a/x06p3OycmJQRwRESmCjU3jX8YZxNXMpUuXoNFocODAgQpZTDs7O7zyyiu47777arVv61tXISIiIqLa0Gg0yMzMxA8//FDpO1PPnz9f61vRmIkjIiIi2ZiJq5mgoCA8+OCDuHr1KoqLizFq1Cj07t0bRUVFOHDgAGbPno0JEybUat8M4oiIiEg2BnE1s2bNGvTr1w/du3dH7969MXnyZHz33XfSTBdhYWF4/fXXa7VvBnFEREREDaRly5aIiIiQPm/fvh0XL17EP//8g86dO0OtVtd63zW+J27YsGGVvlP08uXLGDZsWK0bQkRERMpXnomr63Inc3Nzg4+PT50COKAWmbh9+/bhxIkTOH78OGJiYtCyZUsA1x+T3b9/f50aQ0RERMrG4VTlqNXTqbt374bBYMCAAQPw119/1XOTiIiIiOhWahXEtWvXDvv370fPnj3Rr18/7Nu3r56bRURERErE4VTlqHEQV/40hb29PWJjY/Hiiy8iKCgIa9eurffGERERkbIoPYjLyclBaGgoVCoVNBoNwsPDkZeXV+02BQUFiIiIQJs2beDo6Ijg4GBkZWWZ1bGysqqwbNmypcH6IUeN74m7+cS/9tpr8Pb2RlhYWL01ioiIiKg2QkND8c8//yA+Ph7FxcWYPHkypk6ditjY2Cq3mTFjBr7//nts3boVarUakZGRGDt2LA4ePGhWb9OmTQgKCpI+azSahuqGLDUO4s6dOwdnZ2ezsuDgYHh5eeHYsWP11jAiIiJSHiU/2JCWloa4uDgcPXoUvr6+AIDVq1dj5MiRWL58Odzc3CpsYzQasXHjRsTGxkqzbGzatAne3t44fPgwBgwYINXVaDTQarUN0vbaqPFwqqenpzSkeqPu3bszG0dERHSbU/Jwql6vh0ajkQI4AAgICIC1tTWSkpIq3SY5ORnFxcUICAiQyry8vODh4QG9Xm9WNyIiAm3btkX//v3x0UcfNfm9fZzsl4iIiJqEyWQy+2xvb2/2gviaMhgMcHFxMSuzsbGBk5MTDAZDldvY2dlVGBp1dXU122bx4sUYNmwYWrRogV27duH5559HXl4epk2bVuv21lWtnk4lIiKiO1N9ZuLc3d2hVqulJTo6utJjzpkzp9IHC25cTp8+3aD9njdvHgYOHIi+ffti9uzZePnll7Fs2bIGPeatMBNHREREstXnPXGZmZlQqVRSeVVZuJkzZ2LSpEnV7rNjx47QarXIzs42Ky8pKUFOTk6V97JptVoUFRUhNzfXLBuXlZVV7f1vfn5+eP3111FYWFin7GFdMIgjIiKiJqFSqcyCuKo4OztXeKiyMjqdDrm5uUhOToaPjw8AYO/evSgrK4Ofn1+l2/j4+MDW1hZ79uxBcHAwACA9PR0ZGRnQ6XRVHislJQWtW7dusgAOYBBHRERENaDkp1O9vb0RFBSEKVOmYP369SguLkZkZCRCQkKkJ1MvXLgAf39/fPLJJ+jfvz/UajXCw8MRFRUFJycnqFQqvPDCC9DpdNKTqTt27EBWVhYGDBgABwcHxMfHY8mSJXjppZcapB9yMYgjIiIi2ZQcxAFATEwMIiMj4e/vD2trawQHB2PVqlXS+uLiYqSnpyM/P18qW7lypVS3sLAQgYGBZi8xsLW1xZo1azBjxgwIIdC5c2esWLECU6ZMabB+yGElmvr5WAthMpmgVqthNBplpX6JiIgaWmNem8qP9cwzz9R5CLGwsBDvv/8+r6l1xEwcERER1QjzP8rAII6IiIhkU/pw6p2E88QRERERWSBm4oiIiEg2ZuKUg0EcERERycYgTjk4nEpERERkgZiJIyIiItmYiVMOBnFEREQkG4M45eBwKhEREZEFYiaOiIiIZGMmTjkYxBEREZFsDOKUg8OpRERERBaImTgiIiKSjZk45WAQR0RERLIxiFMODqcSERERWSBm4oiIiEg2ZuKUo0kzcYmJiRg9ejTc3NxgZWWF7du3m60XQmD+/Plo164dmjdvjoCAAJw5c8asTk5ODkJDQ6FSqaDRaBAeHo68vDyzOr/99hvuv/9+ODg4wN3dHUuXLm3orhEREd2WyoO4ui5Ud00axF29ehW9e/fGmjVrKl2/dOlSrFq1CuvXr0dSUhJatmyJwMBAFBQUSHVCQ0ORmpqK+Ph47Ny5E4mJiZg6daq03mQyYfjw4fD09ERycjKWLVuGhQsXYsOGDQ3ePyIiIqKG0qTDqSNGjMCIESMqXSeEwLvvvovXXnsNDz/8MADgk08+gaurK7Zv346QkBCkpaUhLi4OR48eha+vLwBg9erVGDlyJJYvXw43NzfExMSgqKgIH330Eezs7NC9e3ekpKRgxYoVZsEeERER3RqHU5VDsQ82nDt3DgaDAQEBAVKZWq2Gn58f9Ho9AECv10Oj0UgBHAAEBATA2toaSUlJUp3BgwfDzs5OqhMYGIj09HRcvny5kXpDRER0e+BwqnIo9sEGg8EAAHB1dTUrd3V1ldYZDAa4uLiYrbexsYGTk5NZnQ4dOlTYR/m61q1bV3r8wsJCFBYWSp9NJlMdekNERERUvxSbiWtq0dHRUKvV0uLu7t7UTSIiImpyzMQph2KDOK1WCwDIysoyK8/KypLWabVaZGdnm60vKSlBTk6OWZ3K9nHjMSozd+5cGI1GacnMzKxbh4iIiG4DDOKUQ7FBXIcOHaDVarFnzx6pzGQyISkpCTqdDgCg0+mQm5uL5ORkqc7evXtRVlYGPz8/qU5iYiKKi4ulOvHx8ejatWuVQ6kAYG9vD5VKZbYQERERKUWTBnF5eXlISUlBSkoKgOsPM6SkpCAjIwNWVlaYPn063njjDXz33Xc4ceIEJk6cCDc3N4wZMwYA4O3tjaCgIEyZMgVHjhzBwYMHERkZiZCQELi5uQEAJkyYADs7O4SHhyM1NRVffPEF3nvvPURFRTVRr4mIiCwXM3HK0aQPNhw7dgxDhw6VPpcHVmFhYdi8eTNefvllXL16FVOnTkVubi4GDRqEuLg4ODg4SNvExMQgMjIS/v7+sLa2RnBwMFatWiWtV6vV2LVrFyIiIuDj44O2bdti/vz5nF6EiIioFjjFiHJYCZ5JWUwmE9RqNYxGI4dWiYhIERrz2lR+rMcee8xs2q7aKCoqwpdffslrah0pdooRIiIiUibmf5SBQRwRERHJxuFU5VDs06lEREREVDVm4oiIiEg2ZuKUg0EcERERycYgTjk4nEpERES3jZycHISGhkKlUkGj0SA8PBx5eXnVblNQUICIiAi0adMGjo6OCA4OrvC2JwDYvHkzevXqBQcHB7i4uCAiIqKhuiELgzgiIiKSTemT/YaGhiI1NRXx8fHYuXMnEhMTbzk37IwZM7Bjxw5s3boV+/fvx8WLFzF27FizOitWrMCrr76KOXPmIDU1Fbt370ZgYGCD9UMOzhMnE+eJIyIipWmKeeIeeeQR2Nra1mlfxcXF+Oabb+q93WlpaejWrRuOHj0KX19fAEBcXBxGjhyJv//+W3qb042MRiOcnZ0RGxuLcePGAQBOnz4Nb29v6PV6DBgwAJcvX8Zdd92FHTt2wN/fv97aW1fMxBEREdFtQa/XQ6PRSAEcAAQEBMDa2hpJSUmVbpOcnIzi4mIEBARIZV5eXvDw8IBerwdw/Z3rZWVluHDhAry9vXH33XfjscceQ2ZmZsN26BYYxBEREZFs9TmcajKZzJbCwsI6tc1gMMDFxcWszMbGBk5OTjAYDFVuY2dnB41GY1bu6uoqbfPnn3+irKwMS5Yswbvvvott27YhJycH//vf/1BUVFSnNtcFgzgiIiKSrT6DOHd3d6jVammJjo6u9Jhz5syBlZVVtcvp06cbrM9lZWUoLi7GqlWrEBgYiAEDBuDzzz/HmTNnkJCQ0GDHvRVOMUJERERNIjMz0+yeOHt7+0rrzZw5E5MmTap2Xx07doRWq0V2drZZeUlJCXJycqDVaivdTqvVoqioCLm5uWbZuKysLGmbdu3aAQC6desmrXd2dkbbtm2RkZFRbbsaEoM4IiIikq0+54lTqVSyHmxwdnaGs7PzLevpdDrk5uYiOTkZPj4+AIC9e/eirKwMfn5+lW7j4+MDW1tb7NmzB8HBwQCA9PR0ZGRkQKfTAQAGDhwold99990Ark9l8u+//8LT0/OW7WooHE4lIiIi2ZQ8xYi3tzeCgoIwZcoUHDlyBAcPHkRkZCRCQkKkJ1MvXLgALy8vHDlyBACgVqsRHh6OqKgoJCQkIDk5GZMnT4ZOp8OAAQMAAPfccw8efvhhvPjiizh06BBOnjyJsLAweHl5YejQoQ3SFzkYxBEREdFtIyYmBl5eXvD398fIkSMxaNAgbNiwQVpfXFyM9PR05OfnS2UrV67Egw8+iODgYAwePBharRZff/212X4/+eQT+Pn5YdSoURgyZAhsbW0RFxdX5+lW6oLzxMnEeeKIiEhpmmKeuAcffLBe5onbuXMnr6l1xHviiIiISDa+O1U5OJxKREREZIGYiSMiIiLZmIlTDgZxREREJBuDOOXgcCoRERGRBWImjoiIiGRjJk45GMQRERGRbAzilIPDqUREREQWiJk4IiIiko2ZOOVgEEdERESyMYhTDg6nEhEREVkgZuKIiIhINmbilINBHBEREdUIgzBl4HAqERERkQViJo6IiIhk43CqcjCIIyIiItkYxCkHh1OJiIiILBAzcURERCQbM3HKwSCOiIiIZGMQpxwcTiUiIiKyQMzEERERkWzMxClHk2biEhMTMXr0aLi5ucHKygrbt2+X1hUXF2P27Nno2bMnWrZsCTc3N0ycOBEXL14020dOTg5CQ0OhUqmg0WgQHh6OvLw8szq//fYb7r//fjg4OMDd3R1Lly5tjO4RERHddsqDuLouVHdNGsRdvXoVvXv3xpo1ayqsy8/Pxy+//IJ58+bhl19+wddff4309HQ89NBDZvVCQ0ORmpqK+Ph47Ny5E4mJiZg6daq03mQyYfjw4fD09ERycjKWLVuGhQsXYsOGDQ3ePyIiIqKG0qTDqSNGjMCIESMqXadWqxEfH29W9n//93/o378/MjIy4OHhgbS0NMTFxeHo0aPw9fUFAKxevRojR47E8uXL4ebmhpiYGBQVFeGjjz6CnZ0dunfvjpSUFKxYscIs2CMiIqJb43CqcljUgw1GoxFWVlbQaDQAAL1eD41GIwVwABAQEABra2skJSVJdQYPHgw7OzupTmBgINLT03H58uVGbT8REZGl43CqcljMgw0FBQWYPXs2xo8fD5VKBQAwGAxwcXExq2djYwMnJycYDAapTocOHczquLq6Sutat25d6fEKCwtRWFgofTaZTPXWFyIiIqK6sohMXHFxMR577DEIIbBu3bpGOWZ0dDTUarW0uLu7N8pxiYiIlIyZOOVQfBBXHsCdP38e8fHxUhYOALRaLbKzs83ql5SUICcnB1qtVqqTlZVlVqf8c3mdysydOxdGo1FaMjMz66tLREREFotBnHIoOogrD+DOnDmD3bt3o02bNmbrdTodcnNzkZycLJXt3bsXZWVl8PPzk+okJiaiuLhYqhMfH4+uXbtWOZQKAPb29lCpVGYLERERkVI0aRCXl5eHlJQUpKSkAADOnTuHlJQUZGRkoLi4GOPGjcOxY8cQExOD0tJSGAwGGAwGFBUVAQC8vb0RFBSEKVOm4MiRIzh48CAiIyMREhICNzc3AMCECRNgZ2eH8PBwpKam4osvvsB7772HqKiopuo2ERGRxWImTjma9MGGY8eOYejQodLn8sAqLCwMCxcuxHfffQcA6NOnj9l2CQkJeOCBBwAAMTExiIyMhL+/P6ytrREcHIxVq1ZJddVqNXbt2oWIiAj4+Pigbdu2mD9/PqcXISIiqgVOMaIcTRrEPfDAA9V+kXK+ZCcnJ8TGxlZbp1evXvj5559r3D4iIiIipVL0PXFERESkLEofTpXzOs6bFRQUICIiAm3atIGjoyOCg4PNHorcvHkzrKysKl1ufsCyMTGIIyIiItmUHsTd6nWclZkxYwZ27NiBrVu3Yv/+/bh48SLGjh0rrX/88cfxzz//mC2BgYEYMmRIhflqG5PFTPZLREREVB05r+O8mdFoxMaNGxEbG4thw4YBADZt2gRvb28cPnwYAwYMQPPmzdG8eXNpm0uXLmHv3r3YuHFj43SsCszEERERkWz1mYkzmUxmy41vSqoNOa/jvFlycjKKi4sREBAglXl5ecHDwwN6vb7SbT755BO0aNEC48aNq1N764pBHBEREclWn0Gcu7u72duRoqOj69Q2Oa/jrGwbOzs76b3s5VxdXavcZuPGjZgwYYJZdq4pcDiViIiImkRmZqbZZPr29vaV1pszZw7efvvtaveVlpZWr22ril6vR1paGj799NNGOV51GMQRERGRbPU5T5zcNyLNnDkTkyZNqrZOx44dZb2O82ZarRZFRUXIzc01y8ZlZWVVus2HH36IPn36wMfH55btbmgM4oiIiKhGGnuyXmdnZzg7O9+y3o2v4ywPsm5+HefNfHx8YGtriz179iA4OBgAkJ6ejoyMDOh0OrO6eXl5+PLLL+s87FtfeE8cERER3RbkvI7zwoUL8PLywpEjRwBcf7NTeHg4oqKikJCQgOTkZEyePBk6nQ4DBgww2/8XX3yBkpISPPHEE43et8owE0dERESyKf21W7d6HWdxcTHS09ORn58vla1cuVKqW1hYiMDAQKxdu7bCvjdu3IixY8dWeAiiqVgJvsBMFpPJBLVaDaPRKGv8noiIqKE15rWp/Fh9+/ZFs2bN6rSv0tJSHD9+nNfUOuJwKhEREZEF4nAqERERyab04dQ7CYM4IiIiko1BnHJwOJWIiIjIAjETR0RERLIxE6ccDOKIiIhINgZxysHhVCIiIiILxEwcERERycZMnHIwiCMiIiLZGMQpB4dTiYiIiCwQM3FEREQkGzNxysEgjoiIiGRjEKccHE4lIiIiskDMxBEREZFszMQpB4M4IiIiko1BnHJwOJWIiIjIAjETR0RERLIxE6ccDOKIiIhINgZxysHhVCIiIiILxEwcERERycZMnHIwiCMiIiLZGMQpB4dTiYiIiCwQM3FEREQkGzNxysEgjoiIiGqEQZgycDiViIiIyAIxE0dERESycThVOZo0E5eYmIjRo0fDzc0NVlZW2L59e5V1n332WVhZWeHdd981K8/JyUFoaChUKhU0Gg3Cw8ORl5dnVue3337D/fffDwcHB7i7u2Pp0qUN0BsiIqLbX3kQV9eF6q5Jg7irV6+id+/eWLNmTbX1vvnmGxw+fBhubm4V1oWGhiI1NRXx8fHYuXMnEhMTMXXqVGm9yWTC8OHD4enpieTkZCxbtgwLFy7Ehg0b6r0/RERERI2lSYdTR4wYgREjRlRb58KFC3jhhRfw008/YdSoUWbr0tLSEBcXh6NHj8LX1xcAsHr1aowcORLLly+Hm5sbYmJiUFRUhI8++gh2dnbo3r07UlJSsGLFCrNgj4iIiG6Nw6nKoegHG8rKyvDkk09i1qxZ6N69e4X1er0eGo1GCuAAICAgANbW1khKSpLqDB48GHZ2dlKdwMBApKen4/Llyw3fCSIiotsIh1OVQ9EPNrz99tuwsbHBtGnTKl1vMBjg4uJiVmZjYwMnJycYDAapTocOHczquLq6Sutat25d6b4LCwtRWFgofTaZTLXuBxEREVF9U2wQl5ycjPfeew+//PILrKysGv340dHRWLRoUaMfl4iISMk4nKocih1O/fnnn5GdnQ0PDw/Y2NjAxsYG58+fx8yZM9G+fXsAgFarRXZ2ttl2JSUlyMnJgVarlepkZWWZ1Sn/XF6nMnPnzoXRaJSWzMzMeuwdERGRZVL6cKqcWStuVlBQgIiICLRp0waOjo4IDg6uEDscPXoU/v7+0Gg0aN26NQIDA/Hrr782WD/kUGwQ9+STT+K3335DSkqKtLi5uWHWrFn46aefAAA6nQ65ublITk6Wttu7dy/Kysrg5+cn1UlMTERxcbFUJz4+Hl27dq1yKBUA7O3toVKpzBYiIiJStlvNWlGZGTNmYMeOHdi6dSv279+PixcvYuzYsdL6vLw8BAUFwcPDA0lJSThw4ABatWqFwMBAs/iisVmJJsxp5uXl4Y8//gAA9O3bFytWrMDQoUPh5OQEDw+PCvXbt2+P6dOnY/r06VLZiBEjkJWVhfXr16O4uBiTJ0+Gr68vYmNjAQBGoxFdu3bF8OHDMXv2bJw8eRJPPfUUVq5cWaOnU00mE9RqNYxGIwM6IiJShMa8NpUf66677oK1dd1yQGVlZbhw4UK9tzstLQ3dunUzm7UiLi4OI0eOxN9//13pVGVGoxHOzs6IjY3FuHHjAACnT5+Gt7c39Ho9BgwYgGPHjqFfv37IyMiAu7s7AODEiRPo1asXzpw5g86dO9dbH2qiSTNxx44dQ9++fdG3b18AQFRUFPr27Yv58+fL3kdMTAy8vLzg7++PkSNHYtCgQWZzwKnVauzatQvnzp2Dj48PZs6cifnz53N6ESIiolqoz+FUk8lkttz4QGFtyJm14mbJyckoLi5GQECAVObl5QUPDw/o9XoAQNeuXdGmTRts3LgRRUVFuHbtGjZu3Ahvb2/pFq+m0KQPNjzwwAM1Ghf/66+/KpQ5OTlJWbeq9OrVCz///HNNm0dEREQNqDyrVW7BggVYuHBhrfcnZ9aKyraxs7ODRqMxK3d1dZW2adWqFfbt24cxY8bg9ddfBwB06dIFP/30E2xsmi6UUuw9cURERKQ89ZmJy8zMNHuIcO7cuZUec86cObCysqp2OX36dIP1+dq1awgPD8fAgQNx+PBhHDx4ED169MCoUaNw7dq1BjvurSh2ihEiIiJSnvqcYkTug4MzZ87EpEmTqq3TsWNHWbNW3Eyr1aKoqAi5ublm2bisrCxpm9jYWPz111/Q6/XS/YCxsbFo3bo1vv32W4SEhNyyDw2BQRwREREpmrOzM5ydnW9Z78ZZK3x8fABUnLXiZj4+PrC1tcWePXsQHBwMAEhPT0dGRgZ0Oh0AID8/H9bW1mbz1pZ/Lisrq2v3ao3DqURERCSbkueJ8/b2RlBQEKZMmYIjR47g4MGDiIyMREhIiPRk6oULF+Dl5YUjR44AuP4AZHh4OKKiopCQkIDk5GRMnjwZOp0OAwYMAAD873//w+XLlxEREYG0tDSkpqZi8uTJsLGxwdChQxukL3IwE0dERESyKf2NDTExMYiMjIS/vz+sra0RHByMVatWSeuLi4uRnp6O/Px8qWzlypVS3cLCQgQGBmLt2rXSei8vL+zYsQOLFi2CTqeDtbU1+vbti7i4OLRr167B+nIrTTpPnCXhPHFERKQ0TTFPnIuLS73ME5ednc1rah0xE0dERESyKT0TdydhEEdERESyMYhTDj7YQERERGSBmIkjIiIi2ZiJUw4GcURERCQbgzjl4HAqERERkQViJo6IiIhkYyZOORjEERERUY0wCFMGDqcSERERWSBm4oiIiEi2+sjCMZNXPxjEERERkWwM4pSDw6lEREREFoiZOCIiIpKNmTjlYBBHREREsjGIUw4OpxIRERFZIGbiiIiISDZm4pSDQRwRERHJxiBOOTicSkRERGSBmIkjIiIi2ZiJUw4GcURERCQbgzjl4HAqERERkQViJo6IiIhkYyZOORjEERERkWwM4pSDw6lEREREFoiZOCIiIpKNmTjlYBBHREREsjGIUw4OpxIRERFZIGbiiIiISDZm4pSDQRwRERHJxiBOOTicSkRERGSBmIkjIiIi2ZiJU44mzcQlJiZi9OjRcHNzg5WVFbZv316hTlpaGh566CGo1Wq0bNkS/fr1Q0ZGhrS+oKAAERERaNOmDRwdHREcHIysrCyzfWRkZGDUqFFo0aIFXFxcMGvWLJSUlDR094iIiG47Qoh6WajumjSIu3r1Knr37o01a9ZUuv7s2bMYNGgQvLy8sG/fPvz222+YN28eHBwcpDozZszAjh07sHXrVuzfvx8XL17E2LFjpfWlpaUYNWoUioqKcOjQIXz88cfYvHkz5s+f3+D9IyIiImooVkIh4bCVlRW++eYbjBkzRioLCQmBra0tPv3000q3MRqNcHZ2RmxsLMaNGwcAOH36NLy9vaHX6zFgwAD8+OOPePDBB3Hx4kW4uroCANavX4/Zs2fj0qVLsLOzk9U+k8kEtVoNo9EIlUpVt84SERHVg8a8NpUfC7h+za6L8tCD19S6UeyDDWVlZfj+++9xzz33IDAwEC4uLvDz8zMbck1OTkZxcTECAgKkMi8vL3h4eECv1wMA9Ho9evbsKQVwABAYGAiTyYTU1NRG6w8REdHtgkOpyqDYBxuys7ORl5eHt956C2+88QbefvttxMXFYezYsUhISMCQIUNgMBhgZ2cHjUZjtq2rqysMBgMAwGAwmAVw5evL11WlsLAQhYWF0mej0Qjg+v+JEBERKUH5NYmB0Z1JsUFcWVkZAODhhx/GjBkzAAB9+vTBoUOHsH79egwZMqRBjx8dHY1FixZVKHd3d2/Q4xIREdXUlStXpKHOhmJnZwetVlttAqQmtFqt7FuaqHKKDeLatm0LGxsbdOvWzazc29sbBw4cAHD9B1BUVITc3FyzbFxWVha0Wq1U58iRI2b7KH96tbxOZebOnYuoqCjpc25uLjw9PZGRkdHgfyhKZjKZ4O7ujszMzDv6Pgaeh+t4Hq7jefj/eC6ua6zzIITAlStX4Obm1mDHKOfg4IBz586hqKioXvZnZ2dn9qAi1Zxigzg7Ozv069cP6enpZuW///47PD09AQA+Pj6wtbXFnj17EBwcDABIT09HRkYGdDodAECn0+HNN99EdnY2XFxcAADx8fFQqVQVAsQb2dvbw97evkK5Wq2+o//DVE6lUvE8gOehHM/DdTwP/x/PxXWNcR4aM7Hg4ODAwEtBmjSIy8vLwx9//CF9PnfuHFJSUuDk5AQPDw/MmjULjz/+OAYPHoyhQ4ciLi4OO3bswL59+wBc/+GGh4cjKioKTk5OUKlUeOGFF6DT6TBgwAAAwPDhw9GtWzc8+eSTWLp0KQwGA1577TVERERUGqQRERERWYImDeKOHTuGoUOHSp/Lhy/DwsKwefNmPPLII1i/fj2io6Mxbdo0dO3aFV999RUGDRokbbNy5UpYW1sjODgYhYWFCAwMxNq1a6X1zZo1w86dO/Hcc89Bp9OhZcuWCAsLw+LFixuvo0RERET1rEmDuAceeOCWT9Q89dRTeOqpp6pc7+DggDVr1lQ5YTAAeHp64ocffqh1O4Hrw6sLFiy447N3PA/X8Txcx/NwHc/D/8dzcR3PAzUGxUz2S0RERETyKXayXyIiIiKqGoM4IiIiIgvEII6IiIjIAjGIk2HNmjVo3749HBwc4OfnV2HyYEu3cOFCWFlZmS1eXl7S+oKCAkRERKBNmzZwdHREcHCwNGFyuYyMDIwaNQotWrSAi4sLZs2ahZKSksbuSo0kJiZi9OjRcHNzg5WVldl7eYHrk2jOnz8f7dq1Q/PmzREQEIAzZ86Y1cnJyUFoaChUKhU0Gg3Cw8ORl5dnVue3337D/fffDwcHB7i7u2Pp0qUN3bUaudV5mDRpUoXfR1BQkFmd2+E8REdHo1+/fmjVqhVcXFwwZsyYCvNU1tffwr59+3DvvffC3t4enTt3xubNmxu6e7LJOQ8PPPBAhd/Es88+a1bH0s/DunXr0KtXL2meN51Ohx9//FFafyf8FsgCCKrWli1bhJ2dnfjoo49EamqqmDJlitBoNCIrK6upm1ZvFixYILp37y7++ecfabl06ZK0/tlnnxXu7u5iz5494tixY2LAgAHivvvuk9aXlJSIHj16iICAAHH8+HHxww8/iLZt24q5c+c2RXdk++GHH8Srr74qvv76awFAfPPNN2br33rrLaFWq8X27dvFr7/+Kh566CHRoUMHce3aNalOUFCQ6N27tzh8+LD4+eefRefOncX48eOl9UajUbi6uorQ0FBx8uRJ8fnnn4vmzZuL999/v7G6eUu3Og9hYWEiKCjI7PeRk5NjVud2OA+BgYFi06ZN4uTJkyIlJUWMHDlSeHh4iLy8PKlOffwt/Pnnn6JFixYiKipKnDp1SqxevVo0a9ZMxMXFNWp/qyLnPAwZMkRMmTLF7DdhNBql9bfDefjuu+/E999/L37//XeRnp4uXnnlFWFraytOnjwphLgzfgukfAzibqF///4iIiJC+lxaWirc3NxEdHR0E7aqfi1YsED07t270nW5ubnC1tZWbN26VSpLS0sTAIRerxdCXA8CrK2thcFgkOqsW7dOqFQqUVhY2KBtry83By9lZWVCq9WKZcuWSWW5ubnC3t5efP7550IIIU6dOiUAiKNHj0p1fvzxR2FlZSUuXLgghBBi7dq1onXr1mbnYfbs2aJr164N3KPaqSqIe/jhh6vc5nY8D0IIkZ2dLQCI/fv3CyHq72/h5ZdfFt27dzc71uOPPy4CAwMbuku1cvN5EOJ6EPfiiy9Wuc3teB6EEKJ169biww8/vGN/C6Q8HE6tRlFREZKTkxEQECCVWVtbIyAgAHq9vglbVv/OnDkDNzc3dOzYEaGhocjIyAAAJCcno7i42OwceHl5wcPDQzoHer0ePXv2hKurq1QnMDAQJpMJqampjduRenLu3DkYDAazfqvVavj5+Zn1W6PRwNfXV6oTEBAAa2trJCUlSXUGDx5s9pLnwMBApKen4/Lly43Um7rbt28fXFxc0LVrVzz33HP477//pHW363kwGo0AACcnJwD197eg1+vN9lFeR6n/Tbn5PJSLiYlB27Zt0aNHD8ydOxf5+fnSutvtPJSWlmLLli24evUqdDrdHftbIOVR7LtTleDff/9FaWmp2R8hALi6uuL06dNN1Kr65+fnh82bN6Nr1674559/sGjRItx///04efIkDAYD7OzsoNFozLZxdXWFwWAAABgMhkrPUfk6S1Te7sr6dWO/y9/HW87GxgZOTk5mdTp06FBhH+XrWrdu3SDtr09BQUEYO3YsOnTogLNnz+KVV17BiBEjoNfr0axZs9vyPJSVlWH69OkYOHAgevToAQD19rdQVR2TyYRr166hefPmDdGlWqnsPADAhAkT4OnpCTc3N/z222+YPXs20tPT8fXXXwO4fc7DiRMnoNPpUFBQAEdHR3zzzTfo1q0bUlJS7rjfAikTgzjCiBEjpH/v1asX/Pz84OnpiS+//JL/ESGEhIRI/96zZ0/06tULnTp1wr59++Dv79+ELWs4EREROHnyJA4cONDUTWlSVZ2HqVOnSv/es2dPtGvXDv7+/jh79iw6derU2M1sMF27dkVKSgqMRiO2bduGsLAw7N+/v6mbRSThcGo12rZti2bNmlV44igrKwtarbaJWtXwNBoN7rnnHvzxxx/QarUoKipCbm6uWZ0bz4FWq630HJWvs0Tl7a7uu9dqtcjOzjZbX1JSgpycnNv63HTs2BFt27bFH3/8AeD2Ow+RkZHYuXMnEhIScPfdd0vl9fW3UFUdlUqlqP9pquo8VMbPzw8AzH4Tt8N5sLOzQ+fOneHj44Po6Gj07t0b77333h33WyDlYhBXDTs7O/j4+GDPnj1SWVlZGfbs2QOdTteELWtYeXl5OHv2LNq1awcfHx/Y2tqanYP09HRkZGRI50Cn0+HEiRNmF/L4+HioVCp069at0dtfHzp06ACtVmvWb5PJhKSkJLN+5+bmIjk5Waqzd+9elJWVSRc1nU6HxMREFBcXS3Xi4+PRtWtXxQ0hyvX333/jv//+Q7t27QDcPudBCIHIyEh888032Lt3b4Xh3/r6W9DpdGb7KK+jlP+m3Oo8VCYlJQUAzH4Tln4eKlNWVobCwsI75rdAFqCpn6xQui1btgh7e3uxefNmcerUKTF16lSh0WjMnjiydDNnzhT79u0T586dEwcPHhQBAQGibdu2Ijs7Wwhx/VF6Dw8PsXfvXnHs2DGh0+mETqeTti9/lH748OEiJSVFxMXFCWdnZ8VPMXLlyhVx/Phxcfz4cQFArFixQhw/flycP39eCHF9ihGNRiO+/fZb8dtvv4mHH3640ilG+vbtK5KSksSBAwdEly5dzKbWyM3NFa6uruLJJ58UJ0+eFFu2bBEtWrRQ1NQa1Z2HK1euiJdeekno9Xpx7tw5sXv3bnHvvfeKLl26iIKCAmkft8N5eO6554RarRb79u0zmzojPz9fqlMffwvl00rMmjVLpKWliTVr1ihqWolbnYc//vhDLF68WBw7dkycO3dOfPvtt6Jjx45i8ODB0j5uh/MwZ84csX//fnHu3Dnx22+/iTlz5ggrKyuxa9cuIcSd8Vsg5WMQJ8Pq1auFh4eHsLOzE/379xeHDx9u6ibVq8cff1y0a9dO2NnZibvuuks8/vjj4o8//pDWX7t2TTz//POidevWokWLFuKRRx4R//zzj9k+/vrrLzFixAjRvHlz0bZtWzFz5kxRXFzc2F2pkYSEBAGgwhIWFiaEuD7NyLx584Srq6uwt7cX/v7+Ij093Wwf//33nxg/frxwdHQUKpVKTJ48WVy5csWszq+//ioGDRok7O3txV133SXeeuutxuqiLNWdh/z8fDF8+HDh7OwsbG1thaenp5gyZUqF/4m5Hc5DZecAgNi0aZNUp77+FhISEkSfPn2EnZ2d6Nixo9kxmtqtzkNGRoYYPHiwcHJyEvb29qJz585i1qxZZvPECWH55+Gpp54Snp6ews7OTjg7Owt/f38pgBPizvgtkPJZCSFE4+X9iIiIiKg+8J44IiIiIgvEII6IiIjIAjGIIyIiIrJADOKIiIiILBCDOCIiIiILxCCOiIiIyAIxiCMiIiKyQAziiIiIiCwQgzgiahQbN27E8OHD67SPf//9Fy4uLvj777/rqVVERJaLb2wgogZXUFCAjh07YuvWrRg4cGCd9vXSSy/h8uXL2LhxYz21jojIMjETR0QNbtu2bVCpVHUO4ABg8uTJiImJQU5OTj20jIjIcjGIIyLZLl26BK1WiyVLlkhlhw4dgp2dHfbs2VPldlu2bMHo0aPNyiZNmoQxY8ZgyZIlcHV1hUajweLFi1FSUoJZs2bByckJd999NzZt2mS2Xffu3eHm5oZvvvmmfjtHRGRhGMQRkWzOzs746KOPsHDhQhw7dgxXrlzBk08+icjISPj7+1e53YEDB+Dr61uhfO/evbh48SISExOxYsUKLFiwAA8++CBat26NpKQkPPvss3jmmWcq3APXv39//Pzzz/XePyIiS8J74oioxiIiIrB79274+vrixIkTOHr0KOzt7Sutm5ubi9atWyMxMRH333+/VD5p0iTs27cPf/75J6ytr///pJeXF1xcXJCYmAgAKC0thVqtxocffoiQkBBp26ioKBw/fhwJCQkN2EsiImWzaeoGEJHlWb58OXr06IGtW7ciOTm5ygAOAK5duwYAcHBwqLCue/fuUgAHAK6urujRo4f0uVmzZmjTpg2ys7PNtmvevDny8/Pr2g0iIovG4VQiqrGzZ8/i4sWLKCsrw19//VVt3TZt2sDKygqXL1+usM7W1tbss5WVVaVlZWVlZmU5OTlwdnauXeOJiG4TDOKIqEaKiorwxBNP4PHHH8frr7+Op59+ukKm7EZ2dnbo1q0bTp06VW9tOHnyJPr27Vtv+yMiskQM4oioRl599VUYjUasWrUKs2fPxj333IOnnnqq2m0CAwNx4MCBejl+fn4+kpOT6zxxMBGRpWMQR0Sy7du3D++++y4+/fRTqFQqWFtb49NPP8XPP/+MdevWVbldeHg4fvjhBxiNxjq34dtvv4WHh4fZQxJERHciPp1KRI3i0Ucfxb333ou5c+fWaT8DBgzAtGnTMGHChHpqGRGRZWImjogaxbJly+Do6Finffz7778YO3Ysxo8fX0+tIiKyXMzEEREREVkgZuKIiIiILBCDOCIiIiILxCCOiIiIyAIxiCMiIiKyQAziiIiIiCwQgzgiIiIiC8QgjoiIiMgCMYgjIiIiskAM4oiIiIgsEIM4IiIiIgv0/wCB/IdSD8kx1AAAAABJRU5ErkJggg==", - "text/plain": [ - "Figure()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "Python: None" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "imshow(dm.data', cmap=\"gray\", aspect=\"auto\",\n", - " extent=[0, n[1]*d[1], n[2]*d[2], 0])\n", - "colorbar(label=\"δm\")\n", - "xlabel(\"x (m)\")\n", - "ylabel(\"z (m)\")\n", - "title(\"Model perturbation: δm = m_true - m_bg\")\n", - "tight_layout()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "cb177192-5bfd-4528-b8f9-d37d7e3d674f", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mDeprecated model.n, use size(model)\n", - "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39m caller = ip:0x0\n", - "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Core :-1\u001b[39m\n", - "Building born operator\n", - "Operator `born` ran in 0.07 s\n", - "Operator `born` ran in 0.13 s\n", - "Operator `born` ran in 0.10 s\n", - "Operator `born` ran in 0.12 s\n", - "Operator `born` ran in 0.10 s\n", - "Operator `born` ran in 0.10 s\n", - "Operator `born` ran in 0.14 s\n", - "Operator `born` ran in 0.11 s\n", - "Operator `born` ran in 0.10 s\n", - "Operator `born` ran in 0.09 s\n", - "Operator `born` ran in 0.08 s\n", - "Operator `born` ran in 0.09 s\n", - "Operator `born` ran in 0.10 s\n", - "Operator `born` ran in 0.09 s\n", - "Operator `born` ran in 0.08 s\n", - "Operator `born` ran in 0.09 s\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 22.212305 seconds (22.95 M allocations: 1.245 GiB, 15.72% gc time, 34.51% compilation time: 1% of which was recompilation)\n" - ] - }, - { - "data": { - "text/plain": [ - "judiVector{Float32, Matrix{Float32}} with 16 sources\n" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "F = judiModeling(model, srcGeometry, recGeometry, options=opt)\n", - "F0 = judiModeling(model0, srcGeometry, recGeometry, options=opt)\n", - "\n", - "J = judiJacobian(F0, q)\n", - "J_ext = judiExtendedJacobian(F0, q, offsetrange)\n", - "dm_ext = zeros(Float32, n_offsets, n...)\n", - "dm_ext[26,:,:] = dm\n", - "@time dlin = J * dm\n", - "#@time dlin_ext = J_ext * dm_ext" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "5ab77c96-be9b-458c-b6b3-59ceeda287da", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 42.730819 seconds (3.56 M allocations: 268.030 MiB, 0.10% gc time, 3.36% compilation time)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Operator `extborn` ran in 0.85 s\n", - "Operator `extborn` ran in 0.85 s\n", - "Operator `extborn` ran in 0.92 s\n", - "Operator `extborn` ran in 0.89 s\n", - "Operator `extborn` ran in 0.88 s\n", - "Operator `extborn` ran in 0.88 s\n", - "Operator `extborn` ran in 0.88 s\n", - "Operator `extborn` ran in 0.94 s\n", - "Operator `extborn` ran in 0.96 s\n", - "Operator `extborn` ran in 0.86 s\n", - "Operator `extborn` ran in 0.91 s\n", - "Operator `extborn` ran in 0.97 s\n", - "Operator `extborn` ran in 1.01 s\n", - "Operator `extborn` ran in 0.90 s\n", - "Operator `extborn` ran in 0.95 s\n", - "Operator `extborn` ran in 0.87 s\n" - ] - }, - { - "data": { - "text/plain": [ - "judiVector{Float32, Matrix{Float32}} with 16 sources\n" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "@time dlin_ext = J_ext * dm_ext" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "a29fb2bf-6170-4e05-9679-5787b3c24000", - "metadata": {}, - "outputs": [], - "source": [ - "data_extent = [xrec[1], xrec[end], 1f-3*timeR, 0];" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "1ab7cbf4-187a-4d73-be62-99acce0bea8a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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gALZs2WJ7nra2NvT19aGiosJJ9jzDr2aueBKroFIVRtwYDPHFq7pNZqp55XLgj+OnLcezrTBuFzGOZ7vs3r0b3/3ud/HDH/4QJ06cwIc//OF5i5fs2bOH7v/AAw/gc5/7HB555BHU1dUhHA4jHA5jdHQUADA6OopPfvKTeP7559Hc3IyDBw/iPe95D1asWIGdO3d6dJmpiR86U1aAxLoC+bGCGgwLAa+n3YvSJ/h9hdNUwXHMx4033oienh7ce++9CIfD2LRp07zFS9LT39Y03/72tzE9PY2//du/jUjnvvvuw+c//3ksWrQIx44dww9/+EMMDg6isrIS11xzDb70pS/FZK2PVMKPBc5gMBhExKO9M21q8uAq4NTJ4iXNzc3KtLKysvCf//mfbrIhRPZSJsAUPIMhWTALwi1M+EUGyTY/lwUTcCrGl+92YcWGH1wXBoPf8GNjanCG6MWGfi0Xfr2uaPCd+OAfsnnoBoPBkBzI2mOvB4l+t6b4Ad+JD4PBkPyYzsEQS5KpbBm3ixgjPjRh/ZMGgyE6/NiYeokoNiIZSFVXdiLzbMSHGCM+NEnFCmcwGFKTZO1sYtUO+nkavhEfYoz4MMQUvrHyYyUyGAyxxe8BqQsRX4sPkUqPtvDKlL+pFHqYRsRgsCfRbpd4tJ0LpQ0wlg8xvhYfsXhgfiwEscTcL4Mh9Ui2tjOV2xEjPsQ4Xl7dYDAYDIZUxMTuJQ++tnwYDAZDKpKqs0qSnURYEIzlQ4wRHwaDwZCE+LHDWYgY8SHGuF0MMSUtLS3iL9bnMhiSGVNG7YlHW+HHzjzVMJaP/0csortl59BJ1y4/qsppl36sZuzIVq1kTcixvM+xmsmUynh1b+3ujdsy7QSvl+YW1adkWW/C69kusbo+r2eweFEHde5dPOu6sXyIMeLj/5Fsr3O22zcZI8dlwiOW5/SSVMhjovDi3sSz3CUiDa/xMk/JfO+9Ti/ZnqURH2KM28VgMBgMvsKPVky/seAsH07Mj8kUce6Xd8vEO//xHDGQ8uLEtM4+V/5zqj/reKBynSTzfdTJUzIvyOekPfLyOnTrl2qfRLRBxvIxnwUnPpw8xGRqtJIpL9Hgx0pEUMW12B2j+myQI7pPqXAfU70eOLmvyeY+ive9N+JDzIITHwaDwWAwxAsjPsT4LuZDZ5pWso6GvCJZri/Vn0Oy5y/VSAWLhEFNLJ6bKQsLE19aPmI5UyQVSJbrS/XnkOz5SzXY+2nubWpinptzjOVDjO/ERyLX5jC8jblvBoM/cRJUrYPXa9EkW5tjxIcY37ldZLh9eF4UnIUCv7hPvO+bMd8a/EQ8Vvp0Q7K2h6TNSXV370LBd5YPGabAxZ5EN0qJPr9BH69HzwYDIdncvcbyIWbBiA+DwZA8+LEx9ZqFdI+8Xk4+mTDiQ8yCcbsY4oPKwmSsT8mFeR6GZIF00H7sZA1ijOXD4Cmm8UgdzLMyGGKPsXyIMeLDI/xsNnQL79c398VgcM5Ci4+RLYufyvcglfMeK4z48AhTuCIxJn2DwT1sB7zQ2pZUehO2wT1GfBhigmk4DIboMALeHxi3ixgjPgwGgyHJSGRnsxCtLbHEiA8xRnwYYo5oBOfHymQw+IGFUDfjeY1GfIgxU20NBoPB4HvYFWONSyvxGMuHIeb4UbUbDAbvidWswUS+UdlYPsQY8WEwGOKOiStQs1Cn7uu8m8VtuonCiA8xC8LtkqwvaDIYFip+bEwN9ui0xTqdtWnPUx9X4uPhhx9GXV0dMjMzsW3bNrz44ovSfffv308LHPnLzMyM2MeyLNx7772oqKhAVlYWduzYgdOnT7vJmhDT0BkMhlTCr8uNe3VNqXRf2GcZzZ/fcCw+fvKTn2D37t2477778PLLL2Pjxo3YuXMnuru7pcfk5+ejs7OT/p07dy7i9y9/+cv45je/iX379uGFF15ATk4Odu7cicnJSedXJMGPDy9VYIWnwWAwLCSM+BDjWHx87Wtfwx133IHbb78da9aswb59+5CdnY1HHnlEekxaWhpCoRD9Ky8vp79ZloWHHnoIn/3sZ/Ge97wHGzZswKOPPoqOjg48+eSTji/Iy06Oj46OZ+fJW4vsXtiWrB08nx8+n8mWXxWi+yx6Trp/0R7v5DxeXbtXqO5DrM6hs69BTqyeVSyeuyH5cSQ+pqenceTIEezYsePtBNLTsWPHDhw+fFh63OjoKJYuXYqamhq85z3vweuvv05/a2pqQjgcjkgzGAxi27Zt0jSnpqYwPDwc8UfwUiWyacVbfTpRvsmskO2UfLLlV4Us/9GMZLwaFcV6xOR12VLdh1idQ2dfg5xYPSuv73uyPcdkqsfJhCPx0dvbi9nZ2QjLBQCUl5cjHA4Lj2loaMAjjzyCX/7yl/g//+f/YG5uDpdeeina2toAgB7nJM29e/ciGAzSv5qaGieXYTAYDIYkwrJiM8slGTDiQ0zMZ7ts374dt9xyCzZt2oQrrrgCv/jFL1BaWop///d/d53mnj17MDQ0RP9aW1s9zLEhkXjlZoi3GV3UQNhZd5w2Kn5sgBJBMjTmsXSRpSqxfibmPicXjtb5KCkpwaJFi9DV1RWxvaurC6FQSCuNJUuW4MILL8SZM2cAgB7X1dWFioqKiDQ3bdokTCMQCCAQCDjJuiFFSFZTrh2iBs0ursVpI2gaTW9IhvuYaPGzEEnUPfdC7PqxvDiyfGRkZGDz5s04ePAg3TY3N4eDBw9i+/btWmnMzs7itddeo0Kjvr4eoVAoIs3h4WG88MIL2mkaDAaDwZCMGLeLGMcrnO7evRu33nortmzZgq1bt+Khhx7C2NgYbr/9dgDALbfcgqqqKuzduxcA8MUvfhGXXHIJVqxYgcHBQXzlK1/BuXPn8IEPfADAW6OQj33sY/iXf/kXrFy5EvX19fjc5z6HyspK7Nq1y5OL1BnpRPtw09Jit2KjXf51zsumkah8siR7ZUqG0bFbYnFvU/l+OCFZyyV//5M1nyyqMuMk/7J0nN6DRJVhY/kQ41h83Hjjjejp6cG9996LcDiMTZs24cCBAzRgtKWlBenpbxtUBgYGcMcddyAcDqOwsBCbN2/Gn//8Z6xZs4bu86lPfQpjY2P44Ac/iMHBQVx22WU4cODAvMXI3BKPBxfLc3iRdqrfg3jjp2vxAnM/Eksq3v9kc6Gm4j30M2mWD57I8PAwgsEg7rnnHhMLYjAYDAYlU1NTuP/++zE0NIT8/PyYnIP0S08++SRycnKiSmtsbAy7du2KaX7jjXmxnCFuqFxTKrOyrrmUTNfzgZ42LGBS0cVikGPcLmKM+DDEDVUFcvtbNPsaDMnIQizDZtCw8DDiw2AwGAwJx68CxFg+xBjx4UN0KjEx7bIrC8ZjkZ94nMcr/NoYukVWZtw8V/bemvts8PPzN+JDjBEfPkSnoLL7xKtgp1oFSrX8xhpZmXFznxJR/gwGQ/JgxIfBYDAYkgrespbKAtVYPsQsWPGR6gXaMB/zTA1+IR6LAsaaaNysqXrNMvx2PV6wYMWHKQz+wzxTg99I5TJtFgczqIj5W20NBoPB4I5ELAme6KX0/fYuk0S92+Xhhx9GXV0dMjMzsW3bNrz44ovSfb/73e/i8ssvR2FhIQoLC7Fjxw7l/l5gxIcN5hXM3mHuo8GQ/OjOlIsVfmtzEyE+fvKTn2D37t2477778PLLL2Pjxo3YuXMnuru7hfsfOnQIN998M/74xz/i8OHDqKmpwTXXXIP29nYvboEQIz4U+KkCGAyG1CHZ32bqN4EQSxIhPr72ta/hjjvuwO233441a9Zg3759yM7OxiOPPCLc/0c/+hH++Z//GZs2bcLq1avxve99j76xPlYY8aEg2RuAVMPcR4Mh+bFr92LRLhIxw/55iV+E0vDwcMTf1NTUvH2mp6dx5MgR7Nixg25LT0/Hjh07cPjwYa3zjI+P4/z58ygqKvIs7zxGfBgMBkOSEatOOFnP7UWMg136icJLy0dNTQ2CwSD927t377zz9fb2YnZ2lr5pnlBeXo5wOKyV509/+tOorKyMEDBes2BnuxgMBoPBEGu8XOejtbU14q22sXiL+/3334/HH38chw4dQmZmpufpE4z4cIFoRGBcCgaDwSsS3Z74YZ0RP5Kfnx8hPkSUlJRg0aJF6Orqitje1dWFUCikPPbBBx/E/fffjz/84Q/YsGFD1PlVYdwuLoi1idBgMBgSiWnbvCPeAacZGRnYvHlzRLAoCR7dvn279Lgvf/nL+NKXvoQDBw5gy5YtUV2zDsbyYTAYDAZDjPDS7aLL7t27ceutt2LLli3YunUrHnroIYyNjeH2228HANxyyy2oqqqiMSMPPPAA7r33Xjz22GOoq6ujsSG5ubnIzc2NKu8yjPhwgWW9/b4Bv0RRGwwGAwvp8OLRxqXaG6+TnRtvvBE9PT249957EQ6HsWnTJhw4cIAGoba0tCA9/W3Hx7e//W1MT0/jb//2byPSue+++/D5z38+Jnk04sMFpKIY4WEwGPxKvGe7+JVEWD4A4K677sJdd90l/O3QoUMR35ubm13kKjp8Jz6MgjYYDIbUwe8vhEyU+Eh2fBdwaoKkUgdjOTIYDMR9bdqDhYXvLB+G1MGIRIPBwOKVFSSZLODG8iHGiA8beDWeiELgdkTA5jWR8/ZTbV0Up/c7ma/FC3TuR6LugRd1I1lRXVui2yE/rUAaa4z4EGPEhw3J8NC9yEOilxdOJZI1v4nyjSfr/QCSO2/RkmzXlmz5UZFMeTXiQ4zvYj4MBr/ixwbIYDAsTIzlwxAV7HonC7FzlJnGU+le+OEavCTe8QIyd0YyxS0Y3GMsH2KM+DBEBakUfqwcgL2rww/X7fQa/C40431tsvP5+R4vJIz4EGPcLgaDAt1K78fGQcZCulaDwRAbjOXDI+IxGvRq1sFCNOc6dQ+xS+frLDPth1VvnQotJ68YMG9JNSQL8V4Lylg+xBjx4RHxKBxencOPBZmHFxlO3UNsZynrXEUizi/3ViXSdO4Nj11afrlvhuQn3gMEIz7EGLdLEpPKo+hE41VltVtrwY+NAmB//7wqm36+h4bkxbSticdYPpIY0yjHDt0FnFTBgLwrIRYNWiJnoqiuiT+/03yaN0IbYkkyLA7JnttYPuZjxIdhQSBzw0STnuo7v13U2erGnkRDNKtk2h3rNI5DdS8MBi9Jps7aiA8xRnwYFgSxqLw6y8YnOh7EyTmdiCM34sGPDajBYHDHghUfqtFXqr2LZKGiY+oXzVpRHes0bRkitwQ/S0T0m+j8dpYCUbr8Z35/kRUiGrGhu1aFkzrHH28sJsmBk5l9XjwzP8yUStV8x5IFKz6S7aVNBuc4MfXzn9ltonRi4e5Q5UVnGq/O705m6Yj2YacjR9PoO5mGq5u+ER7JQTTWtFifLxkxbhcxrma7PPzww6irq0NmZia2bduGF198UbrvlVdeibS0tHl/119/Pd3ntttum/f7tdde6yZrBp9ByoPXaRISXalFdcOLv2jyw/4X4SRWxevnF4vyYDDEEiI+ov3zG44tHz/5yU+we/du7Nu3D9u2bcNDDz2EnTt34uTJkygrK5u3/y9+8QtMT0/T7319fdi4cSP+7u/+LmK/a6+9Fj/4wQ/o90Ag4DRrrkmmzmihIjP9uxll2R0jOofTDs0r11yylTed69J1weia552s9WHnGkq2+7mQMO2owQmOxcfXvvY13HHHHbj99tsBAPv27cNvfvMbPPLII7jnnnvm7V9UVBTx/fHHH0d2dvY88REIBBAKhbTyMDU1hampKfp9eHjY6WVEYCpK4vHiGbhNw4nLg5zDy/x6MWXXq3gI2XU5EVtO8+FV/TP1OLGY+y/GuF3EOHK7TE9P48iRI9ixY8fbCaSnY8eOHTh8+LBWGt///vdx0003IScnJ2L7oUOHUFZWhoaGBnz4wx9GX1+fNI29e/ciGAzSv5qamnn7eGmKNniH22eh8zxZYWAnEnTdFnamT9V57PIjug635dRJgCyfH5EliN+uMgNH4/6xMyvrpGfXMJu6n5x42S4n8zM2bhcxjsRHb28vZmdnUV5eHrG9vLwc4XDY9vgXX3wRx48fxwc+8IGI7ddeey0effRRHDx4EA888ACeeeYZXHfddZidnRWms2fPHgwNDdG/1tbWefsshIeXijh5FmzjJHuefCfIH8cHV6rS0+l0RXnkz6ObH/a3WMV98Ncvyo8qT6L7wKNzH2Wdg+xcsrT541Rpi9IzJA9etsvmGacecZ3t8v3vfx/r16/H1q1bI7bfdNNN9PP69euxYcMGLF++HIcOHcLVV189L51AIBDXmBBDYlBZEwD7kRMfA+AkFoQcqxIVyY5X+ZTdBz62w0mQqirOQ+SG4tM3nY0hVTBuFzGOxEdJSQkWLVqErq6uiO1dXV228RpjY2N4/PHH8cUvftH2PMuWLUNJSQnOnDkjFB8qnASvGRKLm85Ex00hc4WwHZlOWipx48YFIMpPLHEqnETxLboCRnU/2Dopq5+ic7Pb3eRDdn9lz9/gXxL5rI34EONIfGRkZGDz5s04ePAgdu3aBQCYm5vDwYMHcddddymP/dnPfoapqSn8wz/8g+152tra0NfXh4qKCifZA+DPh+RXvHhWTtLQcZE4Pa9I6Ki2idKIFTrCyc49o8qjjgATpUv20RWfTgYUOvsY0bHwMP1C8uHY7bJ7927ceuut2LJlC7Zu3YqHHnoIY2NjdPbLLbfcgqqqKuzduzfiuO9///vYtWsXiouLI7aPjo7iC1/4At773vciFAqhsbERn/rUp7BixQrs3LkzikszJAt2nYfdCNuuE3SSDp+mbMTNflb913Xl2HX4ou9u0BE5c3Nztufj8yiLEdG5LtE9dWJlEYmZaMqS6niDwWuM5UOMY/Fx4403oqenB/feey/C4TA2bdqEAwcO0CDUlpYWpKdHxrGePHkSzz33HH7/+9/PS2/RokU4duwYfvjDH2JwcBCVlZW45ppr8KUvfcnEdaQgok7FruKoRsfsf3a7XYCnLD982qQjFgWyqiwXKheNLPBTFuhp15nLUOVPdi2y67TbX5U/u+uye76ya3PqrhFZU1RCyMSQGOKBER9iXAWc3nXXXVI3y6FDh+Zta2hokN68rKws/Od//qebbBiSkHhUMpXFQNbZ6Ha2onTT0tKQnp4+T1Sw29nf2c/keJH4kOVZda2ia7P7TSU+5ubm5t0Tso3/jRdq5LvsnpHPZDAiEynku+x6VFYSt24hXWuawRAtRnyIWbDvdjHEFrugPjeNv65FQ/bH5otPlxUR5POiRYvmbWM/qwQFfx/4PPAdueizLL/8PZBZG1SWF9388kKE/J+dnaXfRWKFFSZkyjyfB3If+Wtg86bjsrG7PzJridP0DKmNec7JhREfBm3szNTsiNSNK0V0LicdOz9SZ/fhO7z09HQqLhYtWkRFBbudFxmic7IdsOhvdnZ23mdZ581eA3sO1bOws8aI/tjrZa+VbGfTWrJkScT5RKKOXAt/rfy94Z+NjmVJJUjsBKXMxUKOEZVLlVXNj6PPVETH6iUiUWLTWD7EGPFh0MauAsg6CplQYffVFRsyoSFKj7VgkM528eLFwk5Y1MmwgmF2dpb+zczM0P/nz5+nn8l2so1sJ8fPzMzQvLNChP3P3zN+5M/fY5EIEYkPcq2LFi2inxcvXkzvx5IlS7B48WIsWrQIS5YswaJFi7B48WIsWbJk3r78fSMChc27SICRe8ILEvJZ9vxkgkQmRkTlSyZQRPeVL3OG5CLVOnIjPsQY8WGICbKOANATG6wAEAkONi3emkE6S/Yzuw+BpEdEAxEO58+fx8zMDKanp+n3qakpKjampqYi9mUFB9vJylwRosaIdJBOXALsPqLP/P1lO3UA86w/vBBZvHgxMjIyqAgJBALzPmdkZFCxQv6Tv8WLF88ToayVhBVm7L0j+87MzNDrEAkRUWwNORd7H3QsI6p7bMz1BoP3GPFhiApRI64aZapGrqRz5kfFZB9yLDt6Z4UGKzh4awZJkxUORFBMT09jcnIS58+fx+TkJKampuhnVoiwVg929M5fM99Bkj9iReDdHaKgVZnrgT2XygXC30PRdtL5q/LPWkxYkUFERyAQoJ+zsrKQkZGBjIwMBAIBLFmyhO4rEiTkvKz4YIUgsRSR3/hywAtP0T0TWZFEAlZUVkXCw4iR1MdYPpIDIz4MjuFHlaq4BJHYIMeJTO98TADbAbIigxUaixYtovuTdKanp6krZHJyEtPT05iamsLExAR9K/L4+DgVIZOTk9SywY7IRZ0yayEgVgLyedGiRbQzZi0H5DPrzmA7ZD7mQhRvwt933qrCWxFY9w+5Ltayc/78eSqqiJWHfOZdS1NTU/Nmt/DijwgPVogEAgFkZ2dHfCaCJCMjI8KlQ66PXA95Dqx7i7Uqkc8isceLE7bcAfOnWKvKOnucER6pj4n5SA6M+Fig6JqdRdiZs0Ujdj62QSU2VLEIrNuApMVaMCYmJjA9PY3x8XEqNMbGxqjgmJiYiOh82QBPABGCgHSa7OeMjAzk5OQgIyMDmZmZyMrKop1tZmZmRMe7ePFiZGZmznNhkGvhY1BEVhByX0TPQBQDw1pleHcSEWNEXJB7wlp8yD0kn8fGxqhliNw7si8rWqampjA6Okrzx8aXECsIK0Sys7ORnZ1Nt5F7l5mZSY/LzMyk6bFuGd7VxQe6yixPbJkkgtUuzoYv207rTDT1zGDwM0Z8LFCiFR4sKsHBiw2+s2c7KdasTzppYg0A3g4AJVYM0imOjo5SkUGEBvnPjtrJuUmnRMRARkYGFQzZ2dnIyclBIBBAXl4e7Rjz8vKQmZmJzMxM5ObmIhAIRIiPzMzMiPSI4OADXGWBk+x9k7kBVM9B5lrgY2fYAFDWokDuFS9ExsbGMDk5Se/z5OQkxsfH6efR0VGMj49H3HPyXIjAGR8fp9dBnikRb0TMEfHG3mciVIhViVhMMjMzI4J4SZlghRZ7raSc8QHIZDtfXnWEiC5GeBiM5UOMER8GJXZig3xn9xdNt2R99aywCAQCEYKDdBLkOOIaIB3hxMQEJiYmMDw8HNERsnEbIpFBxEVubi7t2AoKCpCVlYW8vDwEg0FkZWUhPz+f7kM6QpG7gHX/iOIyRPdPFJ9hF5AqC07l/6viIIiFhX9WqjyzrhsiUti4GFbkjYyMYHJyEkNDQ1SMDA4OYmxsDOPj4/RZEevJzMwMRkdHMTw8DAARrhciQjIzM5Gfn4+srCz6XAKBAP2djT0B3hamrNuItW4RsQUAMzMz84SIKlZEFBejun8GA4sRH2KM+PAhvJ+a/awKruP35fdTBUCKplCyAoC1BPCWAZIeG19ATP/Dw8MYHR3FxMQEhoaGaAc2Pj5OO5i5uTnakbCj6dzcXGRlZaGwsBB5eXnIzc1FcXEx/a2wsBBZWVnIzc1Fbm4uFSlsHAdrtiewooqMstnZG6TD5l0DpCNkg1b5GAbZFGJRgCQfGEruNfnMxpKwgk80lZafqUKuOTs7O8LVBUR29GwcCXF1ESFCLFH9/f0YGxvD8PAw+vv7MT4+jqGhISpaiJAhlhRyTWzwKhGCubm5yM/Pp+KQiELi3iLPkLWSsXlkrSUk6FY0JVskrmXPRFSnZJ0FH7Bq3DKGhYoRHz5EJh74z3bmZbIf2xjzI3e+0yT7s53b4sWL6dRM0gmSc5KYgcnJSYyMjFCrBvk8NDQUESRKzkM60dzcXOTl5dHRcWFhIRUZBQUFyM3NRUlJCXJzc5GTk4OCggI6giZWF/LHj3zZtTvYToy4KIj7h/3MTtHlZ8mw4oMIFdlMFJ1nI3o+okXEWPHBBrsSywHptMlndgYLicVg92WfKxuXwc+kIR0+EY+jo6MYGBjA+Pg4BgYG0N/fj9HRUfT19VGrycDAABUw5LkPDQ2ht7eXumtycnKoZYQ8+4KCAuoiy8nJoXnMyMig95Y8Q2JJYwUjKce8gONnTtk9H15MiL7b1VWDvzCWDzFGfCxAnAaMsrNI+OA+AtvJsWtAsLNSyLFs7ADpjIaHh6llY2RkhHbks7OzNO2cnBwaqFhSUoK8vDwUFhairKwMeXl5KC4uRlFREXJyclBYWBgR0Eg6TfYesJ0OmflC3ANkJE9mypC4BjZolQ3YZAWHyNrBBkayws3O0qFqdEQxI6KZHnxAq8gKws7WYQUHO32WxGCw8Rh80C27LkhGRgbS0tJQVFRE80zu08TEBHWjDQ4OYnBwECMjI+ju7sbg4CCGhobQ3d2NkZERjIyMYGhoKMI6QsocEUrEspWdnU3LQE5ODvLz82mwa1ZWFr2nbKwLKyxZcSgSc6xbkI+n4Z+XsWoYACM+ZBjxkQLwplpgfsMm2ke0r1PBQTpKVnQQ2LgH1uzNLupFRprj4+M0BoCMeEdGRjA4OEhHudPT0/Q6AoEANbEHg0Hk5eUhFAqhoKAABQUFqKioQH5+PgoKClBUVISsrCwaKEo6PwLJPzkHsVKQQFWSNxLDMD4+HiE4yAwQNv6EnZbLjqD51UtFf/xzcNKwqJ4z/0z55yt61qIl5lkXDCsmiCghHTlxcRAhQtxcxD3CBo6y05GJxaq0tJRav4goIWJjdHQU3d3dGBoaQn9/P8LhMIaHh9HX14e+vj6Mj49TkUpELCmLRIQQC1h2djYtRyTv7HWQZ8gG3bIBrLxFRBQ8TJ6NbAqvG1eLyCVqSE3MM5yPER8pgM5sB1WHxAfMiUbJvFmZFxzkWNbsTqZQEhM9iQsgFgQiMMbGxtDX10fjNwYGBqjVYHZ2lo7Gg8EgsrOzUVhYiJKSEuTn56OyshIlJSUIBoNUcBCLB7sSJ+sWmp2dpbM0pqenaRAkcemwQauk8yKCg5j62UXIRNM6RVYLu2cnEgD8dp3nySMSMrL/suBJPs+s9YS1mJD/rDuNlAPi9iCWCDZYlLhDSOwGuy+xXqSlpaGgoCBiQThiIenp6cHIyAh6e3sRDocxNDSEcDiM3t5ejIyMUEEyNTWF7u5umncyk4ZYxohVjASz5ubmRsSKsGvDEOFM3H2kLMiECG8VYesNue9un6vB4DeM+PAJssBRfvQlW2acnRHAulTIqJg1w7MjWHIeMj2TiIuxsTH09vZicHCQBhgSSwFr2SgqKkJ+fj6Ki4tRWVlJrRplZWXIz89HWVkZ7UBycnIiRAbJJ1mLgsy8ILEiRHSQuJGJiQk6WmbXrWAX2GKDEfnAWVa88R206L/os+h4dhv7LPnPPDLRwX/m//gZNvxnVqCQVUZFYpfvhNkgYiJK2BgNIgLIfyIAgsFghEggwoYEBpeVlaGuro6K2uHhYVq+iHWkra0Nvb29GBgYQGdnJxW+ZFZNOBxGS0sLFUYkNogI2+zsbASDQSqGSNAqESKsm419lw+pHyohInOtsc9cVocNqY9xu4gx4iNB2DU0Tk2zJC1R48Z3hGRfO8FBTO4kOJMIDnIO0qGTjoAED5IZDSMjIzRtslBXVlYWysrKqHWjtrYWhYWFKC8vRygUoqZyYuInI2Lipyd/RGSwQYzDw8PUsjE0NERHwmQqLmvNYGec8PeM/OeFg2wxMNk2Pg3RH39OkXtNhp3FQyRC+I6QX2WWj0cR/fFCRbQSLBvwys4eYt01xDXDBo4WFRVRt0lhYSEVLWR6bTAYRDAYxNzcHOrq6miMTm9vL/r6+jA4OIjW1lb09vait7cXbW1tGB4epjElY2NjGBoaQldXF5YsWULdMbm5uSgvL6d5IUKE/PFChAhXHSGyaNGiCAsI67okM7XYeycbSMjKRrRtiCG2GPEhxoiPBGFXmJzGAfAFXNT5sR0F/44SVnAQ/z4beEjSJ/ERY2Nj6O7uxvDwMAYGBtDb20vFADFNZ2Rk0OC/iooKlJaWori4GHV1dSguLkZJSQkqKipobIdonQ92bY/BwUGMjo5SkUOmb5JAVWLpYGM0+HgMvpNkOwxR58F2oiIB4lRwsOcln9n8iD7rPH/ZZ5EYYS0bMsuH3Z9qqjAraom1glwTayUhZYsIjEAggPz8fBpYTNwkeXl5KCoqQnZ2Ng0sZRcpy8/PR0lJCX3W/f39GBwcxMDAAFpaWmjMSGtrKw1kJQGsnZ2d6O7upsImLy+Pxhfl5eXRGCNiyQkEAnQ6NR8PxMYBpaVFTnVmpz+LLEzkP19WVOXByzbEYIg3RnwkMexoh7dwkP/sKEpk+gfeXpeCffMqERxkLQe2E2AFx+zsbIQJOxwO09kIPT091H1hWRYNPC0uLkZ+fj6qqqpQVVVFBUdpaSkKCwtRWlpK4wHYWBPSURFXCYkVIS6Uvr4+jI6OUtFBzs2+l4Wf9gu8LcT498Go3oArEh+8yNAVGuS/jrhwIjr4smK33c46QsqSyDrCW0RY8cGKDXb1VH6WD/t9eno64prZAFfyRywjZIp0Tk4OgsEgFSVFRUV0cTgSu5GVlYXq6mpUVVXBsiysX7+eLnrW1taG/v5+tLW1RXwmC6L19PSgt7cXaWlpaGpqQm5uLoLBILWIkOnbrFgCELHiLpk1Rdx55Lmz8TJsGVTFD8lEqhEVqYWxfIgx4iPBqEyjfIfFj1zZfUgDzu7LThtk3wyalpZGR43EJ8+uFkmmnpJOv6urC/39/XTUSDp8y7LozIWysjIUFBSgsrIStbW1KC4uxtKlSxEKhRAMBlFUVERdN2xQHpllwoqL/v5+OiOG/GcDRNkgQPa6AESIBV5c8IttiYQIu+IlKzhEriuZ0OA/63yPFaKypbKU8P95EUK2y1wzIvHBv6mWFyrsflNTU/Se9vX1UQsJmTZNBAhZPI7EbpSWllL3CesyIZaLUCiEpUuXYnJyEoODg+js7ER/fz+am5vR0dGB3t5enDt3DoODg9R9NzQ0hI6ODrS1tVGxU15ejry8PCpIWCFiWRZyc3PnvbiQBK6mpaXh/PnzEWuusOWKd4ORP5GQVXVGMneMyHVjiD1GfIgx4iPBqIQHu48slkO0ABgrONg4DnZmQW5uLhUc6enp1J89MDCA0dFR9PT0oKuri1o4SPwEAGRmZtLZJ0VFRaioqMDy5ctRUlKCmpoaVFRU0KA+9j0apHElAanDw8N0FkN/fz91pRD/PBElshfBEaFBroF9YRv/1lj+XTGsKZy1ZhABR7az95t9LqJG3GnDHkufPEnbaT5FHRb/mRclsvgR3jrCCxHyPNk3CbMuMiIyAWB4eJgKSSJi2VVsiRWEFQbEWkGClckaMUVFRaitrcX58+fR39+Pnp4eDAwMoLGxEeFwGOFwGE1NTdR1Mzo6iqGhIXR2dqK5uRnZ2dkoLS1FWVkZgsEgddGQmKasrCxYlkWndvMr8pI6yZZLIkR4t4xMhKjiPXTaFIMh0RjxkSTwDYPINM5aOESCg50OShor4gohFgoiPsiiX1NTU+jv76drKHR0dGB4eJgGkJ4/fx4AkJOTg9LSUlRVVaGsrAzl5eVoaGhAaWkpKioqUFFRQf3z/Aqm09PTGBoawtDQEJ15MDQ0hMHBQfT29tJgUTJrhfjQefeJSFywK3ayy4WLLBz8+gyscGPvr9vYC/YYHVERy9GM27R1LTQqUQJEum5Ytw1v6WCtIOwL4vjyTGbdEKsCAPT399NgVtLpZ2Zm0uX08/PzqRApKipCaWkpXfODBL1WV1ejsrISs7OzWL9+PQYGBqgQ6erqQnt7O86ePYuBgQEa4zQyMoKuri4qaMrKylBSUkItf2S5fnahMyJEyBRwdgXYtLS0iDIsc8uwlidZbIgfR8ipjrF8iDHiw0PcmDVFjYdIcPCxBqRB4l8vDrxlESCzCsgURmKGJg05iaUYGBiggXi9vb10Suzc3BxtOCsqKlBVVYXS0lKsXr0aoVAI5eXlqK2tjXiVPIFdFpus7xEOhzEwMECFDQlaJTNRyMJd7CiPNMrsa+hJA82/3I21csiCQu2sGV7Buy+SlWiu206g8fEkvBBhrSRsXAhrHWAXcRMtU0/EM3FxkDLQ3d1Np8sWFhbSmJHS0lLk5+ejtLQUpaWldDspvyQgemZmBqtWrcLg4CC6u7vR2NiI7u5uNDc3o7m5mQawkpca9vb2UiFSVVWFoqIiFBcXU0FOXgFgWRby8vLmvQWYuJtYSx4rmoG36rTIIkLuPy9G7MpeLK1uhkiM+BBjxIeHOGnMZQGkbCGTLenMNsTkTZ0AaBwHCcAjbhbSUPf19WFgYACDg4N0FgD5I408ifAnPvLS0lI0NDSgurqaWj7Y96KQxpDMNGFHiOFwGP39/XRxKDJzhfWFs3Eo/EwIdrov/5lYOETuE5lFw+kz4p9PtPu4gRW0ss/RpC1CJ127fVSjcl6Y8O4aPoCVlHP2TbWyl8URQULO393dTeuBaBG7UChEA6RLS0upZbCwsBAFBQWora3F6tWraezT2bNn0d3djdOnT6O1tRV9fX1ob2+nMVLd3d10Vk5VVRWdRl5eXk6FSEFBAQDQ4GrevTgxMRHhRmQtIgDm3S9esPPPx4lrxmCIF0Z8eIho1MGOTtj/5DdecPCdKIE1Q5NlyAFEvPmTmJMzMzORlpaG2dlZ6k4ZGhpCS0sLXYipp6eHpkcW+yotLcXy5ctRXl6OFStW0CmxlZWVdKEo4O3lysmiXgMDA9Rd093djZ6eHhosSszMExMT82JQ0tLSqIhhrRlkui8rOIirRTT7RDTyU7kPZA2v0+26eHm87LNTnMR9iI51KlxUo3KZhYSPH2FdMKQesHWC/cwuqT8xMQEAdAl2svx7VlYWfR8QWU2XBLGGQiE6tTYYDKKgoABVVVVYuXIlnfV17tw5dHd344033kBHRwe6u7vR1tZG15np7u6mL70jQqSqqgolJSXUJUMWMyMr8JJ1c9hrIoKct4jw90nXGsK3SaJnKtonluhabJzumwwYy4cYIz48RFRAZCNA0nCQffhRO9mPNzvPzc1FTEkMBoN0TQ6yGBIbx9He3o7Ozk4MDAwgHA7TRZICgQBtaFeuXIlQKIT6+no0NDSgpKQE1dXVdAouGXERMUNe9NXe3k7jNrq6uui7Wsg7U4hvm9wX3qpBlmhn37DKLkrFulH4WBdR4+rk2bgRGl43APFoUHRiNpymJyvnonR1OgpeMFqWRa1qIneNKICVuO3IzBIi1nkrIVkgbHh4GIsXL6aWiqysLBq3QcRCQUEBSkpKUFJSguzsbBrTRGbXrFixAuPj49iwYQPa2trQ2dmJ48ePo6urC52dnQiHwxgbG6PWQBKoSoRITU0NtcaQ9U1mZ2cxMjKCyclJKtxnZ2dpveUtgIsXL46I+2Lvl6yeiJ6h7LnFCyflMdU6YiM+xBjxEUNEo202aEw0ywJ427JARj7kGGIRIMtSk3gL0vCQxZPIgkpkqemxsTHMzMxgyZIldBS3cuVKVFdXo7a2FmvWrEFJSQlCoRB9C2haWho1fZPZKGQZa+KqIctYE0FCFl4iHQW5Ltaawb71lhUcJHaDXWuDvS9uXCduzM1uKjnvDkkmnOTHjYhjt8tiP2Tpq6wk/O8q6wg/dVckRPgXAhL3zOTkJIaGhpCeno5wOEzrFXHFFBUVUSFSXl6OsrIyOmuGxHKUlpZi3bp1GBsbw9atW9HR0YHW1lYqRNra2tDT04PBwUH09PTg3LlzyMnJQWVlJXX71NTUIC8vDzk5OSgpKaF5JuvZkGBs8scuY8+6aFiBJhMh5N4mW1n1K0Z8iDHiwwanvnXRvnyAGB+rQDp6EmTHWjlIA0P8xcRkTBoPMoukr68PTU1NVBQMDg7i/PnzsCwLBQUFyM/Px/Lly1FbW4vq6mqsX7+e+qKLiooiTLkzMzMYHx+nAajt7e30VeednZ0R78wg+SUCiZ2JQgQH+xI6UbCoaCaKyo2ia7WIhRXDC9eMkzLlRWyHLjrWCafH6zw3u/PIXDasEGE73szMzIjpvGy9IsGdojcTkwXs0tPT0dfXh0AggOzsbJw9exZ5eXkoKSmh7x+qrKxEcXExndVCZriUlJTQVwtcdNFF6OzsxNmzZ3HixAl0d3fj3Llz1O3Z29tLFzNbunQpysrKqGWECJysrKwIaw0RIuw1sfWKnenFr73C3kvWwqr7bAwGLzHiwwbdhl/mWmGDwXjRAYCO2oh5lUxtJe9CIW8BJRaJ9PR0+nKtoaEhnD17Fr29vdTMSxpW8n6KmpoaLF++HJWVlVi/fj2qq6tRXl6O0tJS2mgBoIKjp6cHw8PD6OjooCKGrGpK3otBAv1YwUHcJ8QdJBMcbLAoHxyqsmzoWDGiDayLVwMcrZhNBLr3RhZkqnusyPyvii8h5+PXkmEtI7pChLw0jsQzkZVR+/v76YsQm5qa6PLr5eXl1H1SUFAQ8dI8IlZIGqdOnUI4HMaJEydw5swZdHV1oaWlhbplenp6qFVy+fLlKC4uRigUQllZGZ0+nJOTg/Pnz9O3Q7Mr/AKIsCiy69yQmTLEGsK2SbK4EIN3GMuHGCM+ooRvbEXT4NhFhNiGgLy6nYy8Fi1ahEAgQBsxsoIiGcUMDQ1hZGQE586dQzgcpibd8fFxTE5O0jeEhkIhNDQ0oLKyEmvXrsWyZcvoiIpYGizLoiuZdnV1YWBgAF1dXWhtbaVTDMkL4oiFg8xOIaIhKyuLNnaZmZlUZBCfNBu7wa+1Qe6N2xG1EyuHbppuIQ25yvXgREREa+3QOT5WFhUnsQOiZygSLzJriOg7qWO8m4ZfCp4PVOWFCBkMEFFOZrP09PQgIyMDTU1NVHBUVlbSabpLly6lIoLEZBUUFKC6uhrj4+O45JJL0NjYiM7OThw7dgzNzc3UTdrb24twOIy2tjYEg0EaAF5UVITKykoUFRXR5ebJW6TJW6PJdzJllwgRVvQvXrw4Il5GJEBkrq5EiWA/uIeM+BDjO/ER60ZVNjqXiQ62s7Wstxfd4t/9QFZIJC9ZIx03mcLa3t6O9vZ29PT0oKmpiS7KlZaWhtzc3AjB0dDQgDVr1qCsrIyacMnS6SQug7x9lvigSVAcWfSLBL2RxooIB/Zlc6zgII0du9AX/zI2kdiQNS6pZNWwi0VxWh6jLb86xyfSleNEkPDlQzRCF6VHBAhrGWGnhhM3Db/AGbHqkWDp6enpCKskeYsueR1ARkYG2tvbEQwGkZ+fj5qaGpSUlKC0tBS1tbV0sTMiRILBIKqrqzE2NoZNmzbh7NmzaGtrwyuvvEKtjeFwGJ2dnXRpdyJe6urqqBAhLpnc3FwqjgYHB2n+xsfHqQuUrZvE0sm/c4fcR/71AaJn49QaHE3d82Ona3gL34kPrxtVdnQgSp9YEAj8u0UARATBTUxMRASQZmVl0SWfA4EAMjMz6X79/f1oaWlBT08Pzp49S10ixMpRWFiI5cuXo7q6GsuWLcOFF16IUCiEuro65OXlUdOrZVl0KWky1bapqQl9fX10tEWmzZKGdnZ2ll4LWfuArCTJiw9ecLDTYO2eCTu6Em232+ZmH0NiUblRVPvqjoJl7huSPjuThl3OPBAIRKwVwr6Vl32LLbudTI3t7e1FRkYGOjo6qLWjtraWvn6gqqqKrvFB4jkKCwuxYsUKjI6OYsOGDXQRs6NHj9IZM729vejt7UVLSwuamppQVFSEZcuW0cXMysrK6ICFLGBGloMneSQBqqQes+uHsEvak7bMToToYuriWxjLhxjfiQ8Zbs13soBHUTwHCfYi+xJzLmm8iAUhOzubvv2ViI/09HRMTU3Rhqa3t5eOishsErKGx8qVK7F06VLU1tZi8+bNqKqqQm1tLSoqKuhKo8S0StYkIC/RIu6Ujo4OGmA3Pj4+z8JBXuRF1kUgcRxEcMgW+tJxpXghNHSfJTv6lY2gRZ/t0pJ9Z9MWHSvaR5aubt6cunt0AkNV5+d/569J9rtoH6f5coOui4YIkbm5uQghws6YIa5S0qkTdw1ZPI/U00AggHPnztH3y9TU1KCoqCji3UckpousIkxWHH799dfR2tqKU6dO4bXXXkNvby/a29vR3NyMc+fOobGxERUVFSgpKcGqVatQVlZG37ibk5OD4uJiDA0NRby2gOSTDCLYekxECLuMPREhokGEHzvCWGLEhxhfiw+2srgVHnwa7PtG2HgO0mkTfzJrrp2dnaXCgfiJyXLMxJzb2dmJnp4etLW14cyZM9QNQkzElZWVWLp0KSorK7FlyxbU19ejtrY2YolzALSRIVP7Wlpa0NHRgf7+frS3t9NX1Y+MjMyzcJBGk4gM8pl3qbDuFF1Treqz6LsM1X524sEudsBONKkEg93x7P2xi4sQ3UtVTIkTIWUXnyK7DtF9kj1zu99l20TYuVdE+6jKiEgskW3sjC/WIsK+loCNDyFChLyLiHXTEIsIccu0t7fTd81UV1ejuLgYdXV19K28xJJZUFCAsrIyGnd19OhRtLW14fXXX8fp06ep9XJoaAhLlixBS0sLnbK7atUqunYPESOFhYUYGBigC58Rt9L09HTEgCIt7e33y7AuGdLm8a8oiLZD9UMshyE6fC0+oincbPQ8qYCsb5QdNaSlpdEREmmI2FkrZMny7OxsFBQU0LRJQ9LV1YU333wTPT09dCprWloasrKysHTpUpSXl2Pjxo1YvXo1XZeDWE+ICXlmZoYKjo6ODrp8ent7O30t/fDwMF3/gDQiRBQRkcF+5k20oumwdvfcreCIxkrlBCcxQuy+0bj3dNxQsg5bVzTY7aOTf69dmNGi466xixmxQ+SeIf/ZTpnUcWLZJLFcbP0nwarkDc4ZGRloa2tDc3MzjQ8JhUIoLS1FXV0ddZ2QgQlxofb396OxsRHHjh1Da2srjh07hra2NvoCvI6ODmRnZ6O5uRmhUIi6Yck6JNnZ2Th//jx9mePExARGR0fpiqpkui4RI8SCS9wx5LpZCy+5T25FyEISHsbyIcbX4sMOfsQks3SwU0rZhbDI78QXTKbqkTgJIjhIlDpxrXR1daGvrw9vvvkmDSwjVo60tDQ6HXb16tXYsGEDampqsG7dOpSWliIvL4/mj8yA6e/vR1dXFxobG9HX14fOzk50d3dT3y9ZNwQAnQ5LXCkk7oQ0PuyKo7yFw86lohIasm06v0WDE2uGCF5wOBErbtDNb6zzEQ3xzpvKOuLUUib6TmK32FgRYg2Zm5tDVlZWRBwIK0SIlYRYG8bGxtDf34+MjAy0tLSgqKgIBQUFqKuro+vu1NXV0YBSYslYtmwZ1q9fj97eXhw/fhwnTpzAuXPncOzYMfT09GBoaAhHjhyhcSWrVq2iaZEA1YqKChQWFmJychJ9fX0YGRmh7iIysMjOzo6YtUZEFytESDvFWj7JfeY72mQto/HEiA8xjsXHs88+i6985Ss4cuQIOjs78cQTT2DXrl3KYw4dOoTdu3fj9ddfR01NDT772c/itttui9jn4Ycfxle+8hWEw2Fs3LgR3/rWt7B161an2dNCR3SQzpo1x5JRAYCIVRMnJiZomrm5udTCUVBQQDtzErfR2NiIlpYWuvgQeQNsMBhEcXExamtrcdFFF6G2thYbNmygU/fIwmJzc3N0VcbBwUGcOXMGPT09dIoeWeKcNHzEZEoCzogrhSydzs9UIeJKZOGQ+XydWDdkMRhOnp3bDthpTAcwX3CoXC8yq4VOrIgTd4noHPw+sk5YJaDsYj1k+dfJQ7TPStahqfYj+8rKHG8VUd1f/vmzs2fYKayZmZkRM2bIoITUR9JmkDfx9vf3IzMzE+FwmL4Nl0yNr6ysRHl5OXWBVlZWoqysjLYN4XAYf/nLX3DmzBk0NTXh5MmTGBsbw7lz59DX10cXQ2toaEBZWRltS4LBIHJycmjMV09PD52qS5adz8jIQHZ29rzgVBK7xq5izL6HirRR5F6ryqshtjjtU3/2s5/hc5/7HJqbm7Fy5Uo88MADePe73x2z/DkWH2NjY9i4cSP+6Z/+CX/zN39ju39TUxOuv/56fOhDH8KPfvQjHDx4EB/4wAdQUVGBnTt3AgB+8pOfYPfu3di3bx+2bduGhx56CDt37sTJkydRVlbm/Kok2IkO1sdJKhWpfGQ/0rCQIC4Sz0GmvZWWltIg0unpaRrwefbsWYTDYZw8eZK6QdLT0+mo5sILL0RdXR3WrFmD9evXo6ioCIWFhRFuHSJgmpqa6Dof586do0KEdauwa3GwgoN9ER0/U0U1JZa9f9G6UqL1FYs+26HT+Yk6XCexETr72Y22nezL/65yqbh1ydilpZuHaJ+VSiypjuPLnEqoyBC5bniLCGk7lixZQt0UxCLCumPIYINYQsg02ZGREXR2diI7Oxutra30bbhkwbHq6moUFhbSKbt5eXlYsWIFVq9ejebmZrS0tODw4cM4d+4czp49i9bWVnR0dKC9vZ1aWFasWBGx5g+ZlRMMBjEyMoLh4WH6hmvyfqYlS5ZEvMWauGNIrBoRInwMGLm/rBCRPUe/kwjLh9M+9c9//jNuvvlm7N27F3/1V3+Fxx57DLt27cLLL7+MdevWRZV3GWlWFHclLS3N1vLx6U9/Gr/5zW9w/Phxuu2mm27C4OAgDhw4AADYtm0bLr74Yvzrv/4rgLdmatTU1OAjH/kI7rnnnnlpkmAvwvDwMGpqanDPPfcgEAhE7CtqNNjOlX81Nak87EwOMh2NrCZIIsJJjASZ7paXl4fFixfTEURTUxON52hra6PBnmQFxLVr12LFihVYuXIltm3bhrKyMvo2TZI/4jNubW2l74ggy6gPDg5iYGCArk/A5p3EbpBgVH7FURKzIhMcfIOr81mEH82FBn/gxCWnK3rZtoRYHtl3zJD3yZw/fx7j4+MRa/4QAoEAHcyQN+2SdT7Ylz6yqxNPTU2hqakJzc3NOH36NJ5//nm0t7fj7NmzGBwchGVZyM7ORlVVFcrKyrB27VpUVVXRt/qS/Pb19WF0dJSuaEwGYsQ1S2bmpaWlRayRwr6tmrWakvpPRIjuvY81U1NTuP/++zE0NIT8/PyYnGN4eBjBYBD33HMPnRDglsnJSdx///1obW2NyC+xZvM47VNvvPFGjI2N4de//jXddskll2DTpk3Yt29fVHmXEfOYj8OHD2PHjh0R23bu3ImPfexjAIDp6WkcOXIEe/bsob+np6djx44dOHz4sDDNvXv34gtf+ILtuVWWDnZeO4F1PRDzITGZkih24sIgbhUSTAq8tXBPa2sruru7cfbsWZw8eRJ9fX3o6uqifuJVq1Zh5cqVqKurw6WXXor6+nosXbqUvl+FnJes89Hc3EzX+SArkbJmUhJjQqbPEeFBGgsS28HPVGEbCNW9k1krnMZ0GAzJhqi8qtxh5HfVKJ61iJBYCLIuDnHLkPe1ZGVl0Xix8fHxCHcNGcAMDQ0hOzsbLS0tOHfuHHXLkBkzZWVlWLRoEXJycrBmzRrU19djy5YtaGhoQHNzM1577TW8+uqr6OrqQkdHB86cOYNz586htbWVzp5bu3YtjT2prKzE1NQUioqK0NPTQ4NlyYKGU1NTETFiJPaNxJWR+BBehJBBHLmXC80S4lXbWFNTE/H9vvvuw+c///mIbW761MOHD2P37t0R23bu3Iknn3zSk3yLiLn4CIfDKC8vj9hWXl6O4eFhTExMYGBgALOzs8J93nzzTWGae/bsibhRxPJBsHOvsNPI2BcxkTUyLMuioxLiq01LS6OxHHl5eSgrK6OzQciyy52dnXjttdfoexvGx8eRlpZGTaRVVVW45JJLsHr1aixduhQrVqygFhZSgScnJ6ngIOZUsvQ5ecU2sXKQPBE3SlZWFv3MvueBnQpst/CXE7Gh85uKaOI3Ug2vrzWR98vPz8ouhkS2r+h+kLrGxocQC+Ts7Cx1zbLuGF6IkPe4kKDynJwcNDY20iXdSWBpcXExnSWTk5ODa665BkNDQ7j00kvx8ssvo7m5GUeOHKFB6U1NTdTN09jYiJqaGtTW1mLFihXIzc1FWVkZ8vPzMTExQVdDJsGpU1NTWLRoEXJzcyOm67LroljWWwsbsgsO8jMIF6IIiRaR5YOnt7fXcZ8q66fD4bAHuRaTkrNdZKYmvjCrRAexAJA3Qaanp0eMPMbHx6lSJ9PfSIUkr7EfGBjAwMAAjh8/jra2Npw7dw4dHR1UrFRVVSEUCmHjxo00pmPdunUIBoPIzs4GAOrO6erqQk9PD1pbW9HY2Bjxdlr25VHk+knsBis+2OXO2cBRXnDwozk3LhUvlLzb+I1UxOtrTeT98vuzkgW38r/JUMXAkMEOWb+HCBESqDo9PY2srKx5gapkheLBwUH09fWhvb0deXl5aG5uRkVFBcrLy9HQ0EAtshkZGSgpKaFB7P39/bj44ovxyiuvoKmpCS+99BJdMfmll17C6dOnUVxcjPXr16OyshJ1dXUIhULIz89HMBhEUVERxsbG6CBoamoKAwMDtO3JycmhM+nIWiHk/TlkkMcHsfMxIbL2ib337D5O2yBZurHGy5iP/Pz8mLmJ4k3MxUcoFEJXV1fEtq6uLuTn5yMrK4uulSHaJxQKOT4fG/AERLpXSOElnTNxrxCf6cjISMRrqskSyKWlpcjJyUFeXh7dj/hXW1tb8cYbb2BkZATj4+PIyclBaWkp6uvrcfHFF1MzaHV1NYLBIPX9kWmyxC1z8uRJaj0Jh8M0CI3km31FPVl9lFg7iODg32TpNnDUrUslmhFxso7kU2WU73QEmarPSoVuAKrT4FceXcuIqIMkVk42nmxubo7OmJmZmUEgEIiYmsu6Ysgbd8l0WfIKhoKCArS1tdF1Purq6pCTk4OcnJwIl0pDQwPC4TBWr16NN954A01NTThx4gRGRkbQ19eHnp4elJaWYunSpVi/fj3KyspQU1NDp/wGg0E6Tbe3t5daa6empmh7xAansm8SJveCtLvEHcNbQWQiw02wsN2zjAfxDjgtKSlx3KfK+mk3fbAuMRcf27dvx29/+9uIbU899RS2b98O4K33m2zevBkHDx6kgatzc3M4ePAg7rrrLkfnYoUHqdSse4WNfSC/kTdCktVIlyxZgmAwiPLycuTl5aGoqIhGeHd0dKCpqQkdHR04evQoXarcsiy6RPKWLVuwbNkybNq0CRs2bKArDZJKND09jf7+fgwMDODkyZPo7OxEZ2cnWltb6UJgk5OTtLARUZGVlUXdKuQ/8bvygoMVXyyxtnBE0yEl60g+GTtZGU7ymshnFSvxojNDxovz2nWG5Pr46+TFCOl8WSFCAtmJtYO4ZsiqqcQVTCwjZGHBjIwMdHZ2oqioKGLZ9draWoRCIToDb+XKlaivr8fq1atp/Mezzz6LxsZG2rYNDw/j7NmzaGxsRCgUwgUXXICVK1eiuLgYJSUlyM3Nxfnz51FUVISBgQE6C29qagpjY2PUHUOmCBN3E4kLOX/+PG2r+OBUXogYnOOmT92+fTsOHjxIYzGByH46FjgWH6Ojozhz5gz93tTUhKNHj6KoqAi1tbXYs2cP2tvb8eijjwIAPvShD+Ff//Vf8alPfQr/9E//hKeffho//elP8Zvf/IamsXv3btx6663YsmULtm7dioceeghjY2O4/fbbHeWNFGAyG4VYDFhzIABagUllIR12SUkJNTEWFhYiPT0dMzMzOHfuHLq7u/Haa6+hsbGRvv01IyMDOTk5WLVqFZYvX441a9bgsssuoy+SIiuQAsDIyAhGR0fR1NSE1tZWOv12YGAAQ0NDEcudE6sMCU4j7hV2uXMysuBNmaIG0anosKv4yTryXcik0vNIpbyqcOue4QUJ65Jh49CIa5XEUZB1Q8jKpCRWhLeGtLW10XVDqqqqsHLlSmrNIMKgvLwcBQUFWLduHVavXo1Tp07hzTffxHPPPUcHQ2TKbmNjI1atWoXKykqsX78eoVAIwWAQtbW1KC4uxujoKDo6OjA2NkZnypCXUObk5NBrIe6Y6elpumAZuV7RqqmimBA37pZojvOCeFs+APs+9ZZbbkFVVRX27t0LAPjoRz+KK664Al/96ldx/fXX4/HHH8dLL72E73znO1HlW4Vj8fHSSy/hqquuot9J4Oett96K/fv3o7OzEy0tLfT3+vp6/OY3v8HHP/5xfOMb30B1dTW+973v0TU+gLem+fT09ODee+9FOBzGpk2bcODAgXkBMHaw5j0y5ZQUehKpff78eYyMjFAVnpGRQf1olZWV1MIwPDxM3/76+uuvo6OjA6dPn6axF8S1UldXhyuvvBIrVqzAqlWrUFpaGrEY2cTEBMLhMH2p26lTp9Dd3Y2BgQFqtiQBpIsWLUIgEKBxHCQv/Avd2ABSu0ZPVPB1rR4y4t15xEvsJEpUxSvozojG6JE9K74eqWbJkOcg6hBZawjw9hoiZNAxMzODrKwsKkRI/AW7cBmZnt/R0YG2tja0t7ejuLgYK1asQF1dHYqLi1FZWUnFzYYNG1BfX49t27ahoaEBp0+fxquvvopXX32Vxp719/cjLy8P586dw6pVq1BVVYXVq1fTlVPz8vLoass9PT2YmprC0NAQJicnaUwI+3Zssvw8WSuEvW5VTIjbTjyRlpREiA+7PrWlpSXCQn7ppZfisccew2c/+1l85jOfwcqVK/Hkk0/GbI0PIMp1PpIFMp/67rvvpqY+Yj1g1+gYGxujooO81rqyspIu2pOeno7R0VH09vbi2LFjaG9vx5tvvolwOIzJyUlkZGTQlzi94x3vwLp167Bq1SqsXbuWigPg7Xn3Z86cQXd3N06fPo3W1lYasU5m0szOzlIxQXylmZmZdPVREtfBCw4dtwr73a2Fw2AwRIdM7IlmyajijtiAeXbdEHaWDGnfyCALeMuaQlZdJvEbpaWlWL16Naqrq1FSUoKsrCx6buLKaW5uxnPPPYezZ8/iyJEjaGlpoTFxpaWlKC4uxqZNm1BXV4eamhpUVlbSF2t2d3djeHgYPT09GB0dpe0cESDsWiHkOsigkVih2beDE3eUytLklHiu8/GJT3xCOEHCCVNTU3jwwQdjmt94k5KzXWQQNwiZe37+/Hm6Ut/Y2Bgt1KWlpSgpKUFBQQGKioqoKfDMmTNoa2vD6dOn8cYbb2BoaAjDw8PIy8tDVVUV1qxZgwsvvBArV67EZZddRt00bJwJcck0NTXh9OnT6O3tRVtbG521QhZHS09PR05OTkS0OOsnlb1BlsCPAuxcLCxGdBgM8YG1NvGfZciECflO2gZiuSWz9DIzM+kiZmS67vT0NJ2uS5YEyMvLQ3t7O32x3Zo1axAMBpGfn49AIIDq6mo646W9vR0bN27ECy+8gObmZrzxxhsYHBxEb28vuru7UV1djerqamzZsgXl5eUIhUKoqqqibWxnZydGR0dpbEh6ejomJycjgubJ9UxNTVFxRVZNZa1ArAhJpSDxRFg+UgFfiQ/ioiDR1+TNjQDo1DPWvbJ48WIMDAygo6MDra2t+Mtf/kIX45menkZmZiaWLl2KCy+8EMuWLcPll1+ONWvWoKKiArm5ufS8JIg0HA7jjTfeQHd3N31/C/v6egD0HStEKLGzVshiRKL3q/DwYkMlOnRiOADxezBEn2Xf2TTIZ1k+VA0y/5vbWQuq/KvSEuVDdD2i62JR3Qu78+pen2h/1f0X3VvVtamOF12rTtlR5Ue0v8jkriozojzZdfyqOiZ6Hk7vm+w4Ub2RQY5hg1TZ5c6JECELgZGpumRVZrJGBztLpqioCG1tbVRE1NfXU0FQXV1NA043bNiApqYmPPvss3jjjTfQ1tZGg1PJoG3p0qVYuXIlLrjgAgSDQYRCIeTl5WFsbAzhcBh9fX0YGxvD4OAgxsfHEQgEEAwGIxYsI1Zj8pqIubm5iAEYuUesEOHbyGQSHoARHzJ8JT7IsuvDw8N0ild+fj5yc3MRCoUiTIw9PT3o7e2lC/CcO3cO4XAYaWlpCAQC9KVuW7duxSWXXIKamhosX748whRIhMUbb7xB/atNTU0YHh7G4OAgJicnqT+Tfb8KCSLNycmhgoOsN8L6PUXYWTtk+6qQNfoiS4toVCbbV3YeNn+qRoMPMnPSsdnlX5YHu2uzO4/b3+zuhd3xOseK9lF1enblQSd9meCRiWo2T3xZk51TZY534t4giGIyZM/K7ShbJZpEgkl0XSSYnl3AjEzXJWuFECsIESLERUPehNvW1obOzk6UlpairKwMF1xwASoqKrB06VIUFBRg8eLFCAaDuPzyy7F582ZceOGFOHr0KE6dOoVnnnkGbW1t6OrqwrFjx9DY2IijR49i06ZNqKmpwerVq1FZWUmXcO/t7cXw8DDa29tp2zk5OUldzbm5ubQtJAKEjYljXc/s7CD21Rg65dqQHPhKfPT399MApczMTASDQVRVVdEps+SFcGfOnMHJkydx7tw5HD9+nAZtkbnwK1aswFVXXYXly5fjwgsvRHFxMV2fgyhz8sKm9vZ2uox6b28vBgcH6UiEBJCSwFHi72RnrZAgUt7KwVceHReLamSng5tO1qkFwsn57PLhtOH3Mg9e49TyEA+8OJfoWYk6cqeCz+t8ytLTFVlusbMKqUQ8+c8uIsiuakxESGZmJl05lZ2uSzp3MkuGvBqCxIasWbMGxcXFKC8vx5IlS5CTk4MNGzaguroa/f39WLlyJV577TWcOHECr7zyCoaHh9HS0oLBwUGUlJTg1KlTuPDCC1FRUYH6+nqUlZWhtLQUwWCQThEm1hDSBhMhQqzDxB1DXONkcEaECLluIkBE9ynRIsRYPsT4SnxMTk4iJycHoVAIBQUFKC8vR25uLubm5jAwMIBTp06hra0NL730Ejo6OjAwMICZmRkUFhaitrYWl112GRoaGnDRRRdh48aNyMvLo4FCMzMz9AVvXV1deP3119HZ2UlfZ09cPZb11vReMq+eCA7yjhUSmMouciZqfN24Vbwo4LqNqd2+XptB3Y48dRp3u0ZKZZKX/a6bDyfESnjoXJ+uuFVZlnSsTLHAiYvETdpeCBAeNyN3djl3drZfRkbGvFkyo6Oj9DOxFo+MjGBkZAQtLS10mm15eTldG4SszFxYWEgHahdffDGam5vxhz/8AadOncKJEyfowIys+lxRUYGLLroIK1asQGlpKSoqKlBQUICJiQkqVsgfCb7Pz8+PaC9nZmboWkysO4Zd44is3cTeU7ZtTVQHbsSHGF+Jj4qKChosRdwYHR0dCIfDOHbsGN544w10dXWhq6uLrp1xwQUXYM2aNVi3bh2uvPJKhEIhOh3Jst5+02N/fz9OnDiB5uZm+u4WsqopO1WWTJMls2lIBWJXVZVNkyXoCA7ZtmhwM9pMhOXA7blloi0eJIuFxS1O8i+7z4m6B7E8b6zSlsWYiPaRuWTYuJC5uTlqhSUvtWNj46anp6koGRsbQ19fH/r6+pCfn48zZ85gxYoVNP6jsLAQOTk5yMrKwgUXXICGhgasXLkSjY2NeO211/D000+jtbUVzc3NOHPmDJqbm9HY2IjVq1ejtrYWmzdvRmlpKX1PFpmi29raivHxcTpFlyyDwFqL2bcAk+BU9g3krAghLm9+gBfvjtyIDzG+Eh+rVq1CRUUFZmdnMTg4iNbWVhw5cgStra04ceIEfUV0UVERfbPsNddcg4aGBqxYsYIuS2tZb61EOjIygo6ODpw8eRLhcBhnzpyh70MYHh6mKpuYCAOBAF3Eh5g72QV2SAUB5CZBtqCqCpzoOKfuj1ia8UUj5ViZqNnf3RxHUI3a7fa1y0MqoLJWqeIPnOLEwuQkTa/Lsm6aXlk/ZBYm3nLEbifthUiEsIuWEYsscQWTNmp6eprGWPCzZMh6RGTZ9aKiIrS3t2PZsmUIhUKoq6ujg6qVK1eiqqoKGzduxLJly3Dq1Ck8//zzOHbsGPr7+9HW1oaBgQG8/vrraGtrQ0NDA+rq6rBy5UoUFhaiqKgIeXl5GBgYQDgcxuDgIMbGxjAxMUHfp0Us0YFAgL5gkwTYElcMO7gji5jJRIghsfhKfOTk5GBoaAjHjh2j8Rxnz57F2NgYLMtCaWkpysvL8Y53vAObN29GQ0MDNm3aRNfSsCwLk5OTGBsbo+t7nD59mr5ZliwKNjMzg/T0dFqJc3Nz563RQfyV/HQxgiqGQ9WJynDTucZrROjFedh7IxJubq6fT9vpb37D7lp174WX4oR3PzgVg9Ggm6aXbkU7F5hoOy9C2G1s+qQdIkKEuGMCgQANRCVLE7CrqPb19WF0dBSZmZno7OxEY2MjysrKsG7dOjojhryrKysrC3/1V3+F3t5eXHLJJTh06BDOnDmD559/Hj09Peju7sYf//hHnDx5EqFQCJdeeilqa2vpWiGlpaUIhUJobW2lU4MHBweRnp6OiYkJ5Obm0naWuGDIS0CJNYQVIpZlCUVIPDGWDzG+Eh8vv/wy2tra8OKLL6K3txd9fX0IBAIoLCzEsmXLsH37djQ0NFD3SjAYRFpaGg1mCofD6OzsRFNTE95880309vais7MTw8PDdFEwsux5Tk4OXZODWDuI9YMNiJI1BnYBpCzJUvDcxle4PRdB1eG4GZHH+n668dcnEq/zqwqS5D/b5UvnHMk2ko21RRGYHwMlQzTgSEtLo0GpZLYdeatuIBCgAalk0TLWGjI2Nobe3l7k5uaio6MDVVVVqKqqwoYNG+jL5zIyMlBVVYXKykosX74cbW1tdK2Qs2fP0ti71tZWtLe3o76+HitXrsSWLVvo+2Py8vLosu3hcBijo6Po7+/H2NgYAoEAioqKImJCiAVkenoaACLcMcTtxAuReGHEhxhfiY8DBw6gubkZQ0NDSE9PR35+PjZs2IDly5fjiiuuwObNm1FVVYWioiJ6zOTkJHp6etDV1YXXXnsN4XAYra2t6OzspEsVE9MlCRwNBAIRJkDyDheyKFha2vyXu6niOOxiO0Q4DQ4FxOZbHVeDzKzL7y9y6YjOLcqL6ppU20W/q64hHpU41RoKp/kVmf51zyPrNFXPXeccdmWAL/OqOqCLrCzrlmE7d6Qqb/z9kLlmRPuQz6SdItZZ0SwZ8rZaIkDIsunkXVXEEtLd3Y2qqirU1dWhvr6erltEFjJbvnw51q9fj1OnTuGpp57CmTNn0N7ejra2NvT29uLEiRPo6OhAXV0d1q5di7q6OvoWXfICu5aWFoyNjWFoaAhTU1PIzc1FTk4OtTxnZGRQa8309DRtt4kIIYPBeAoPgxxfiY9XX30VaWlp9G2OF154Ia6++mosW7YM69evp7NLLMuir6x//fXX0draSl+gNDw8jKGhIaqgycwVsi4HO2WWVFa7IFI7i4fsuwhVAydD5m4RpaG7ze432TlU3/nPbjtxWQeXaqIgWXErltn/bsuwrNPVLWey/25w4sZ0Wq90fmdxIgZFsSGsO2Zubo4OssibdclaIeQFdjMzMxgcHMTo6CjC4TB6e3tRUlKCUCiEdevWoaKiAsuXL0deXh4WL16MsrIyvOtd78L27duxYcMGHDlyBK+//jqeeeYZDAwMoL+/H3/4wx9QXFyMV199FZdccgmqq6vpC+3IOk3kPTM9PT3o7+/H4OAgioqK6EvscnJyMDs7S9d8mp2dxeTk5Lz3YpFXYcQDY/kQ4yvxUVxcjKqqKrzrXe/CBRdcgK1bt6K+vh7Z2dkAQAtlV1cXGhsb0d7ejjfeeAM9PT3o6+vD4OAgfX8CcaOQQs2uSEpWKWVX3gPmN5Beig5CspmYvULWqaiQjSQNyY9qZO60jCezCyaW6FguVaJEJPxJnATprMnKqWStkKysrAghQt4v09bWhr6+PrS3t9O1QhobG7F27VqUlJSgrKwM6enpKCgowFVXXYXVq1ejs7MTK1euxPHjx3Hs2DGcPXuWWqHb2tpQVVWFLVu2YN26dSgtLUVVVRUKCwvp28GJ+Ojp6aEDQuL2IQs4kjf/kvfHkAFjPMuJER9ifCU+3v3ud+OSSy7B1VdfTd/dAoC+vpms0fHaa6/RBXXa29vpyn+W9dYqgVlZWdSUx65IqloUDHAmOkSFSccFYQff2Dg19bo5h+p87P7seZ10GKkWQxFvvHimyYDOM9YVnHz5kpVBnXsmc2W4cZfonIf9rsqvjktG5O4UXQd/DBsXQmJDSHAqWbqdzDqZnJzExMQEdVOPj4+jo6MD7e3t6OzsREVFBdasWYPq6mrk5+dj8eLFCIVCKCsrQ0VFBU6ePIljx47hd7/7Hc6dO0eXa+/u7kZTUxMaGxtRX1+Piy++mK7Empubi56eHvT09KClpQWTk5Po7e2lS8sXFBTQJQ5YdwxZ+Zq8eM+QOHwlPj74wQ9i06ZNyMzMpJVubGwMAwMDOHnyJE6dOoVwOIzGxkYMDQ3RVfWIz5MEkRLxQQKxyFRZ4ju0q/Q6IkOETsNih10aXnRQTlwluudTdSpGeKhJddHhBLtYBt00ZDFIIpxaZLyouzrfdZDFXOnkgY0LIe4YsjIziQshA7eRkRHq6hgZGaFrhfT09KCgoABnz57FypUrUVlZiXXr1tEBHXGnbN68GWvWrMGbb76Jw4cP409/+hP6+vrQ1dWFp59+Gvn5+Th16hQ2bNiA+vp6NDQ0oLq6GlVVVSguLkZvby+doktc6sQdk5ubi8WLF2N2dhZjY2M4f/48ZmZmHN9LtxjLhxhfiY8LLriAuljGx8fR39+P48ePo6OjA6dOnUJ7ezuGhoYwODhIo5+JbzMQCNC3OmZmZtIoatZMZ+decSs6UhkdC4adCPLjfVnIxNsSoyNIdPOSSBdONMGvOmkDkRZKlQWEFVwkcJP8kY6cDM7YtULGx8epO2ZycpK+UK6vrw8dHR0oLS1FZ2cn6uvrUVVVRZduX7x4Ma644gqsW7cOW7ZsQUNDA06ePIk//elP6OrqQm9vL5599lmcPXsWlZWVuOKKK7B06VJUV1dj2bJlKC8vR2VlJR1Y9vf308UkCwsLqSU7GAzSN4vHCyM+xPhKfJCFZZqamtDR0YHTp0/T966Q2StkNVJijiPzxsn0WdEaHbJRuUp0qKLOnaAT8S5qNHTTcJIPgs4oUXRvDMlHLDq8ZLDEuHHh6KYXrWs0Hti5QHUCVEW/EcsvcT0TSwhZfZTMCCRChCzh3tXVhZGREbS3t6OnpweNjY2oqqrCpk2b6DtfSGBqSUkJKioq0NLSgjVr1uC//uu/0NTUhDNnzuDcuXNob29HOBxGQ0MDVq9ejYsvvhjBYBBLly5FXl4efWNvV1cXJicn0dHRgfz8fOTk5KCoqAiBQCBpn9tCwlfio6mpCUNDQzh69Ci6urrQ2tqKnp4eWgHIwjpk6XOyRge7Qin7rgBVp68TQOpFx6sbQe800t4r2AbKr0IjmTuZaPHrdemg4/5UkcyizamlRyQ02HKvcsfIpuhOTEzQRcvYeJDh4WF0dnYiGAyira0NNTU1qKurw5o1a2i7XFtbS2NFtmzZgtOnT+N3v/sdTp48Saf3dnZ24uWXX8bZs2exYsUKrF27FjU1NQgGg6ioqMC5c+fQ19dHX4UxPDyMsbEx5Ofn05Wm44GxfIjxlfj4r//6L3R1ddHX2g8PD2NmZgZpaWkRb5TNzc2lU2azsrKEL3oD5ldIXdGRSuh2rCpzrc6x5FypyELuoL0kGUScTln0Iq4k1ZAFu/Lw90H2Rl32Td4kOJW8UZesrTQwMICRkREaZNrd3Y3KykosW7aMzlopLi7G5Zdfjo0bN2LFihU4fPgwjh8/jj/96U8YGRlBZ2cn/vCHP+D111/H66+/jne+852orKzE0qVLsXLlSlRXV6OwsJAu7z4wMIDx8fHY3UgBRnyI8ZX4eP755zE0NETfu2JZFrVqkDngZGle4lrhF6BhYUf0TmetEFSmT1kUviwNUQNhF3HPB9fZ+cJFwXiya9PFjxXH4Jxk6MDdlkW7ztiunqnSEtVTWdqy9JzMklFtE12XCJEIIZYQdopuRkYGpqenkZmZSd0w7IvsSJBoR0cH+vr6EAqF0NTUhHXr1qGkpATl5eXUmnLVVVdhxYoVaGtrQ319PY4dO4YTJ07QSQQtLS3o7OxEXV0dLr74YqxevRrBYBBr165FaWkp+vr6cPr0aQwPD2NwcFB6P2OBaQPn4yvxce7cOfqqZTI3nbhViPAQuVdEqOI6+H14+MZE9LvoM0mTtb6ohIxd48Rvt2ug7K5LdB2mUhn8imhwoGoHREGdZLuTmSyqAYbquxPRYicEVe0Dm7boOtgFvcjrKIiVmQgRMkuGLFpGXDKtra04e/YsWltbUVFRQV0pZEXp5cuXY+nSpaivr8fx48fx2muv4Ve/+hXa29vR0dGBo0eP4vTp0zh+/Di2b9+O+vp6XHTRRSguLqbxJO3t7Whvb1devyH2+Ep8zMzMRLx3JTs7my4QRpb7JZVCVHEIrKVD17Ui6+hFFgjV8apGSRZUKmtsZOd1IjRUplgvhYcTk3wymO9jgVeBwcl0b3RH3W7TBuzFfrTps99l1yKqUzqBnKJ2QrSvnXWE/8x/V1lCRZZYlbWV3Zdvt9h92Vfck9gQ8s6VyclJTE1NYcmSJRFv1J2cnMTw8DCdKtve3o4LLrgAlZWVWLVqFZ2iu3TpUhQXF2PTpk2oqanBsWPH8Pzzz+PVV1/F2NgYTp8+jf7+fpSXl9N3y1RXV6OiogLBYBDl5eXCZxMLjNtFjK/ER15eHv0jSpudMitaGIzFqehgK6JKAJD/osouw65xEaUlEh58nlSFWNT4xavQ61huVPsmE247Ql2XmuqcTu5jPISK18+PzbOq440Vbl2RMlerqvMmiNoQlQhh0+V/k51f1SbJBBH7WVVXiQhh1wohVpCMjAy6SNnIyAjOnz9PZ6j09fWhu7sbnZ2dKCsrQ2dnJ5YvX47y8nIUFhZSV/rf/M3fYOvWrbj00kvxq1/9CqdOncKRI0dojMe5c+dw4sQJ+o6vUCgU8X6vWGPEhxhfiY/i4mI6pYpMmSVr+cuim+3cK7LGhjQAoopsh0gYiMSLqsNQjfacuE3YY5KtgCe7yJDhRb51zOK6na9b07vuueNJKpQJmbVQJ+8yy4SoTdARlXYC3m4gZGe5UlmH+PJJlm4n1mcSj0csH5mZmdQCMjExQVdPJUGp7PogmzdvRlFREV3JdMWKFVi+fDmWL1+OU6dO4dChQ/jjH/+Ijo4O9Pf344UXXsCxY8fQ1NSEDRs2oLq6WvYIDHHCV+KjoKCAWj3spsyqRIcTV4RdJbc7TraPTofhZmTMb0skOo2k23QBuUlbdh9U1ik707fdcbI0ZHnmfxMdZ2dKtzuH1yZ42X2R7aNrBXRLLNPWOS+LyKooQlS/nYhHJ8JDJw2VKOHT4J+p6HhiCSFihF0rhAiRrKwsjIyMYHp6msaCTExM0FVTz549i76+PtTX16Ourg7Lly/HkiVLkJaWhrVr12Lp0qVYu3YtVq5ciTfeeAN/+MMfEA6HMTo6ihdeeAEtLS0oLCwUXlcsMJYPMb4SH7m5ucjOzlbGdLixdOjgtoHzumFU5T+RBVjUEHphNpeNwlQNtuwY/nhRoyEaifIdPm/VYtNWjRTZ72zHKetAVI2aShCJrpt/FiLhIbsHonuk+i67DpU1zw12HWs80amXXlvM4tUmqcSmLF12ii6ZIEBeBEfc5ZOTkwgEAnRxyNHRUUxOTqK7uxv9/f04c+YMKisrcdFFF6G6uhp1dXVYsmQJcnNzsXLlSpSWliIcDmPdunV49tlncfLkSZw4cQLt7e1obW11dW/cYMSHGF+JD7LSXjxFR7LgxFoTi2uNpgNSpcMeazeK5tMRXbNKbMj208mnTFTI0hF1/jp5lKWrOo+og+ePk1lxZEJLJ29EOKnEnqqu6ly3KF8qdCxLXltMZBYoWT5SFd12hb1GYp22rLeWcCfTc1khQhYqI1N0JyYm0Nraiv7+frS2tqK3txdVVVVYvnw5Nm7ciGAwiLy8PBQVFSE/Px9VVVXYsGEDTp06hSeeeAKnT59GW1tb3Nf7METiK/Fht1aHaJtdB6Eyd8v2UTXKTkyldvmT4aRzcoJdPt2mxWKXDm8O1hnpOdkuSo9/frJnKrIWyJ6lqDzo3E/RdRN009O5x7Lnqzo/L1LY+6U6r911i84vS0N1rAw7URetIHBS91T72glsPg3Z/k6tTKJ7oyvSZKJWlAYbE7Jo0SLMzMxErBWSkZFBZ8SQ1VPHxsYwMTGBjo4OtLS0oK+vD1VVVVi9ejVKSkqQkZGB/Px8XHzxxbjgggtQXV2N559/Hq+88gp++ctf2l67FxjLhxhfiQ8Wu1GkahtB1uCJGnK+c9JJR5Uem6ZTYlVQVR0pu12UF9U91IEXjKJ8sGnrjMrtGlVRI8lu5/OnW05Ev8uOc0K06Ymelei6ZfdctY+O5UJ2vKqjs+tAdcuj6rdksUjI7rkIO3Fod7zqOJ3ziwZsOnlNS4uMCSELQc7MzFAXzNTUFIaHh+lbdPv7+zEyMkJfQFdWVobGxkZs2LAB5eXlqK6upqulXn311bjgggtw5ZVXGvGRYHwnPrwQHW7xsoGyy59bYWJ3Pp2GVzVSFOVT9/yq0SublqhTE6Uh68D4fdnjdSwydqIiVXEillTlhBfk/D46I3CVuOGFvkwM210jv10kcO0sMTrb7bArc7I65pWwjxUqMasSsESAsKumzs7O0hkyxAoyMTFBLSAzMzMYGRlBc3MznZ4bDodRWVmJjRs3oqamBgUFBfS9MQUFBfG5CQYpvhIfvPAQmVD9gtfXojOKYRsOJyN5UXrs/nyjb2cC5xsz1XOWNeB2jb1by4zsHCqTtd2oUHU9qs5XRyDK0neCqrMWPSuROFHlkS93vOBU5UfWAdoJTFmaIoGic7wKO9Gd6sjKr0xQsvsTVzoRImTFVLJWCFmojLhipqamaHDq6Ogompub0dXVhdWrV6O6uhpr165FIBCI6701lg8xvhMfdp2R7Di7hkNVWXTT0DmfrJNKFG7EhZM0Vd91TOOyUZXonF5aa0RWFt19+f3typCbbXajd/64aFwLutfupMNXWUV0rTFOz6kimS1cXrmF7NLx4jxORDf/n12ojIgQdqGy8fFxOkWXnRXT19eHtrY2lJWVoaOjAytWrEBeXl5U1+EEIz7E+FJ8sN910DGh8qZeN2nY5clONMlG0smEF4JMdZyq0dLpZO32082z6Lmq8qyDzuhcdZzIqhCLzsTtM3aCk+twSqzyHCtUVh6CzJqoa82RtWv8vvxx5BxOywS/j+6AgFhAiBDh36JLhAgJRJ2ZmUFPTw/GxsbQ0dGBgYEBNDU1IRgMKs/nJUZ8iPGV+ADU/lGdCqE6RsfUKxrpiUbcbgqTVwUwmsbX7ljZSNTOWuTEwmI3WnaSdycWDNl1ODlOF5V52u4YVRqy/d3kTec4L8qZ10JBp/wkk0BxUu9lAxje8seLDTvLLrs9mvsic5npCCwW4o4hsSFkRWvyrhiyUBl5eR2JDxkfH0d3dzeys7NdX4PBG3wlPnTMeCrcjFD5bV6Zeb1C5WoQNQT8iIbfXyddFr7RE6XD78sfz+dVdZ06iEaJOmZgPv+iEaDqeDe4FQhuz607ItV59k7zwt5HmSWRP7eszIjypjpOdM2ykb1ufnTzEQ9k16r6blf2ZL+7qQcyyw37O18uyHfy3i4yM0a2UNn09DRdqCyelgRj+RDjK/ERL9xYUXicKn236I4enTYesnRloyW7dO0aYy9G2LJ8RNtwJssI2QvsOiZAz6TP7itLg+/U3T5DWcfoxOIjG+3bncPJZ7tr9VqQiMSPTNwnAh1LpJ1YJAKEt4Kw7piMjAwqRMjL66ampuJwhW9fgxEf80l3esCzzz6LG264AZWVlUhLS8OTTz6p3P8Xv/gF3vWud6G0tBT5+fnYvn07/vM//zNin89//vMRhSgtLQ2rV692mjXXOH2w0QoPsk+iC1QsGh6dzitWebG7n7JRqJd5WAg4uU9uRaPds3J7bjuRoCOQ3f6ucy+8LIPJ3g6pnj2fL3ab6I/AvrQuJycHeXl5KCwsRHFxMUpKSlBcXIxgMIjc3NyYX59BjWPxMTY2ho0bN+Lhhx/W2v/ZZ5/Fu971Lvz2t7/FkSNHcNVVV+GGG27AK6+8ErHf2rVr0dnZSf+ee+45p1lzTbJ2OjqNnWhkw5qNZe4WWdoy1wg7MhSdQ3ROu1GXzrWJ0pftJ8s3+cy7TlTpqxq4hYqsU+B/k90z3fLKPyvRudj/OvmVlQ+7vItG2zpl3S5fsvzx+yx0dEUIC7GCEItHTk4OgsEgCgsLUVpaSkVIvK8h2j+/4djtct111+G6667T3v+hhx6K+P6//tf/wi9/+Uv86le/woUXXvh2RhYvRigUcpqdpMLrAuJm1OjU0sA29GTkRT6zv4s+k+sVmURFx9mZWGXXodqPPz8/mhUJEFk+2eOTRZDaPQv+GcQy36ryJjKVy9IQdejsZ1aAqM4lumbZ82RRpc3eV9n95PPBlz2+TsnElE6Zjsa15YRYl51oEd1jHtEzJaulEncM+xK7eOGFeDDiwwPm5uYwMjKCoqKiiO2nT59GZWUlMjMzsX37duzduxe1tbXCNMiyuoTh4eGY5llFPAuFqqEV/SY6HpAHxYkEiGxfUbo6AoTPu0g0iH5n0xWh2q7TkTlF1oF6jRM3QaxM9l64O9jtsnIkOl7WgasEgExIi84ts1zI9pPlU1bO+TzxiMq5nUjXEVhukD0T1bXFAtV57NoRYP79IFNzLcuiIoS8VdeQOOL+BB588EGMjo7iv//3/063bdu2Dfv378eBAwfw7W9/G01NTbj88ssxMjIiTGPv3r0IBoP0r6amJiZ5TTa1aTda43/jrQ3sd9FnWXqyfWV/fP747Xa/6fwuuydu93GK6Hr9RKyvTzddkbVDVl50BZldWRYdy/9uJwp18iHLi+za7dKKFSorUCywO4+dK2Zubk4qFpcsWYJAIIDMzEzP822XX+N2iSSu4uOxxx7DF77wBfz0pz9FWVkZ3X7dddfh7/7u77Bhwwbs3LkTv/3tbzE4OIif/vSnwnT27NmDoaEh+tfa2io9p+yh8SMe2ejdLh2vG2hRQbMreKKRkld5MXiP3YjazTFu0kk2ZFYI0T6ybV5fnyhtJ/VdJz92bZTueZx0Um7uE38O0X/d61W1u9Hkh/8sSpcsUBYvjPgQEze3y+OPP44PfOAD+NnPfoYdO3Yo9y0oKMCqVatw5swZ4e+BQACBQEDrvDojDtF/VTqxMLmrTKsqM6PKHGu3XZSmaHTH/+7mWkh6OnnhrysZYPPN3w/Z/ZFdqxuTue5o3kk6qjzyv8dj5GtXB+1ECSm7OuXNybNyeu3s+dn8kG2y6xHVQ9kI3q488ucSpaGLKh+i/zrpydJwC38/dM9rSBxxsXz8+Mc/xu23344f//jHuP766233Hx0dRWNjIyoqKmKar2hHoCzRFGY+TVUDJRIJfGOjEit8mjKRw6crOl6mzlXCQ3b9fIPtBU5HZCpkDZdKeLD/kw1dkeemc5CNRPnf+c92yMqGSHSQtPk6QvJkJwLY/XXugaqM8XVVVl/Z/7I6we/Dnl/UNrjF7TNKJPwzUFkQ4nlNxvIhxrHlY3R0NMIi0dTUhKNHj6KoqAi1tbXYs2cP2tvb8eijjwJ4y9Vy66234hvf+Aa2bduGcDgMAMjKyqLr63/iE5/ADTfcgKVLl6KjowP33XcfFi1ahJtvvtmLa5Si6lBE20W4LRSi42QVQ7Uv/13WCMv2Idtl4kB2HpWQ4LEbPcZqFOLVqMrJuWTfZcTDoiDC7plEky/Rfdf5HC2qdGXCmv2drx86HZXoOPYcdr+z/1V1UDSq10lPlZYM3X1EJINFwU5cyrbFMj/Rns+IDwAvvfQSrrrqKvp99+7dAIBbb70V+/fvR2dnJ1paWujv3/nOdzAzM4M777wTd955J91O9geAtrY23Hzzzejr60NpaSkuu+wyPP/88ygtLXV7XfMqrI5pOZ64NZM7PcZJhx/Le5AMjZLXeHFNibwvXpnlUwnda3bScdsd50R4ORWDdvnkj9N5rl5ZcWMhbEVpiNKTWWF5YRkv/CgeosWx+LjyyiuVN5IICsKhQ4ds03z88cedZsMWpxXOrpKawpOaJMqyYDB4iZMynOyxDW6sbqr22W5gye5j2vHkwbzbBWIfayywS19mLmQrq6oyqfzeqpEA/100epHlPV6dO+/T1j1vMja+Bn1E7pF4nVfXWqrTWbLbWURuGTuXAdmX/V3kstHZJmondFxUOti5q3R/88pSwqZv3C6Jx9fiQ1VpdB+mlw/drgKp/NQiP7oTM7Abk61O3mMp1FTXYUTFwsCL+ASnOHWviESIk85VlZad+OeP1XWzyNKJlzvWiVvcqRjR+T2eGPEhxrfLvKkCIhMhPHTRCXIjv+s0FKKANJ30El3YjbhYWLgtb27Kid25nKYpsyqK9tMRU7I8eDVit3NB6LQ90ZyXTUcWTKsKEpW1cTqWZd321RB7fGf5sOtgo00j1uhaOHSVv90oiB9hGcuCIRHEs7x5fS5da4EX53VqPXWzr1fn0B3QsG0Q3x6pzsuLDZXLmv3dWD6SA9+Jj3jgpanXrmKwlZJ8F40W7Py0fJqxjm8xJD/x9n0vNERxFKr4DnY7D7u/LF3VNp30VMfIBkOqmDJ+Xx282lc16Ip3m2fEh5gFIT50AsJUplNZ4RWlIWtUVHlSCQ/ReXR8uiLsBItdPqMhFr75WKF7X1Id3Wvw2/1wWxbddKQiVwJb72VtiCw9WbqiNHmBwR8rOr+dxUHWxqmsEtG6mwz+xFfiQ+RDlIkO0T52Clk3MEqnAomEh1szqFO3TKxGIvFIJx6kUkcaD/x2P9yWxWiPUw1sdNotPk3RiFpXvPDotiG6wkklkFSk0iBFF2P5EOMr8aHrKxT95nUH7wQ/VjiDweDNbBPZdieDI5VIUOVHla5ue+hl22Yn0nSOizdGfIjxlfgg2Pkkddwbooet6wd1us2JWVuUf1HeZIXVSQX0syhy0mgZxKSyO8aLsu3EzcoeA9i3Q6LvsuNE6cuO59PQdcmo4kdUqPaX3TOVC8bOReT0XIbE4TvxQQouW1lE5j9Vg6FTwUQmVFk+2P29MPmqGi4v8XOFTdZOMZWI5h666ci8xIuy7aZO63Se7L2xG1TYDZZkgoZtG0Vp8O0k247yz073Wdq1maL8i45NNYzlQ4yvxAevzlUmOpXVQsdSYhdwxVdcVX6dXqPofLEkkRYQu2eRLPlJhrx5Qbyuz2lafF7cpJFKqGIqRNYJWTtn9/xUbSK7ze6ey9pTWRvott2LJo1EYcSHGF+JD17V6/oGRSMYuxGKkxGMl77QRFS4eJxT1tHxo7FEI8tPMuTNC5L1+pIpL/FC5p61G/SI0nHq7rVrs3SOdeOWcoJbd1e8MeJDjG9XOLVzU7DYNWy6Dz6V1XmicdO5mHubutg9O3Y0b3DupiBE6+5Vpa3rEor1c5Tlg+/0TXlKLnxl+VD5MFVWEB0rh+g4XtlHW7h1XDWq4/yA6h7zxOOaRflZiIjKdjT3wu5YO/O+rD4mC167huyuW3YvZM/NziKh46a2a6/s2mIv0BFciXQbk/Mby8d8fCU+VHEX/D66BVJWidnjvSrYIleDk+NSAbtGOVEiQ4YTK0wqPQenJMu1ubWQ8Z1frK8nVunbuYBF22RtoEpQ6rpkRGmJBmM6gikadGJRVPvFEiM+xPhKfADqSifbz0mabo5PFF6Pvtzmwe/+elUDLPqu0/CKgiuj9W+LAhbt0vADstGxn64RsI/TiCYNN/nwOt7NDSJXkN+ee6riO/HBojI5qoinmY7voNweG29U5lrVd6fpOU3H6TlkzzraMqAz8tQ9nnzXzVM0wYJO8uiUWD1Dp+dwEpuV6h1VPNoyty4wp4I6muuIhaXaybmN5WM+vgs4tXtIfKdg5+qwa5RkBUu3wJH9VPuyJkzyOdFWDZ18u01P9KeDXeMiSksk/mTP1q1LyKmrSZYPPh3VuUX7qPKvc638fqrno/sMncZKeVFOnKSfChZOFU7vre7vdm4sp+2s6je34kaUjpdtlpvzRvMXK/r7+/G+970P+fn5KCgowPvf/36Mjo4q9//IRz6ChoYGZGVloba2Fv/jf/wPDA0NOTqv78QHi6yykM+qhk+38ebTYButaBsuO7+pbJubfZzmS/VbohpsvkF0it391fGt2zUeOtvZa+HLn0yYyNIUHSfbz+5ekO2Jspx4hciqJPtNti0VsRO/MpcE+ztBZNnjy5VsMMC2kTqihE1bdD4n12i330Lkfe97H15//XU89dRT+PWvf41nn30WH/zgB6X7d3R0oKOjAw8++CCOHz+O/fv348CBA3j/+9/v6Ly+crvwBVkUbyAahfLbeL+4Thp8Wuy+dpWXz7/s92iIxr0jSsOL9ERpe9koeHEPF1ojlWz3P5rzue2IZAIk2nrj9Hi7NsJNPtg2SRWTxOdBZQXSdYXZWTbsxLBItLD7y/KvI3BiiReWC3L88PBwxPZAIIBAIOA63RMnTuDAgQP4y1/+gi1btgAAvvWtb+Hd7343HnzwQVRWVs47Zt26dfj5z39Ovy9fvhz/83/+T/zDP/wDZmZmsHixnqzwleWDdUmwFYx3VYi2sdt5Za1KlxzH/mfTY9NlcWJWEzWWbguzk+N08uxVhXaSlupZ8iMwN38G57i5x+x3u7rpJg9eXwuPbv7c5icWZVPUVonaQFEd00mb3ZcVBaI/9jde3NjlQ/VZdK2y88eDaNsj9tnX1NQgGAzSv71790aVt8OHD6OgoIAKDwDYsWMH0tPT8cILL2inMzQ0hPz8fG3hAfjM8sHjpIDJCq1doyMTHm6Rjbrs9iHIRiii7aJKHw0qa4iTkaPOaIs/XyLQHWmnEk4tWm4tArqduc4zdiOoY/GsYpl2rIlFXYq2/XV7jkS3C7GktbUV+fn59Hs0Vg8ACIfDKCsri9i2ePFiFBUVIRwOa6XR29uLL33pS0pXjQhfiw9WeatMeSKlzn8WpcFv449TEasKYmcadSJkVL+L7qdMLLgVaG7vkZsRsxtSsZOxw+k1RWMR8IpYns9N2rESTG6PjxY3AxRRuygTtqL2V7Qfj0zsuRXEscILqxU5Pj8/P0J8yLjnnnvwwAMPKPc5ceJEVHkC3nIDXX/99VizZg0+//nPOzrWt+JDZMYTbWdRmSJZAaJS6U5MsbrH2FV+HWuH6DMvquwaCaeQ9NyOoHWuyZB8ePlcnHR6svIjy49OOXdjreO/R1te7TrgWNcDLwSY0zaX3yZq43h3HdmmOwCMF16KD13uvvtu3Hbbbcp9li1bhlAohO7u7ojtMzMz6O/vRygUUh4/MjKCa6+9Fnl5eXjiiSewZMkSR3n0rfhg0RUcon1lHbiTc0SLW+uESkyJ/uucyw4nlh87sRFthxBroukYE4UXeRYJ1lhhl7ZokOD1OaJJw0uXpo44j+Xz8FL06wymeHHBbxf9xl6/aoAXb8tRvMVHaWkpSktLbffbvn07BgcHceTIEWzevBkA8PTTT2Nubg7btm2THjc8PIydO3ciEAjgP/7jP5CZmekof4DPAk4B8TQuWYVkCwV7HPludw72e6wLtxcF2C59EXwlZ7/rwh7HNxDs+fk/r7ATYXweZXlX7edHVNctGunr3mcvEZUZlTk+2uene6ysPLu9Fyo3Bb+f6Fm4rbex2JeFb3/Z7TpCgj8mWUR+qnDBBRfg2muvxR133IEXX3wRf/rTn3DXXXfhpptuojNd2tvbsXr1arz44osA3hIe11xzDcbGxvD9738fw8PDCIfDCIfDmJ2d1T63rywfKvcB+V1mHmVdBGwHKRpZ6bgTvBoVx8OsSs7j9ne3v8ULvoGSfY7mHtiRDPfBLW7yrnPPY4XTZ+xk4ODlCFZlJdTNg05+RBYEp3nl8yv7LVpE7TKBP6+oLZdZqmVWk3iRzKLoRz/6Ee666y5cffXVSE9Px3vf+15885vfpL+fP38eJ0+exPj4OADg5ZdfpjNhVqxYEZFWU1MT6urqtM7rK/HBiwbRf35/0Xe+gMrMgASVe8CrDsuLymLX2Lkd6bi5Ttn+saykunlkn7vs2pK5MfEa2X1TdeTxsAba5cluAKKThgq3gw+VxcLueF2xoUpD557YiR8dC7EOovZUdC7ZfqLvovZbtn88SITbxQlFRUV47LHHpL/X1dVFnP/KK6/0JD++Eh8sMsFgZx0RoVLUqrSSSXjYpROrUX08O2k7keA2LwtJaIiIxX2LlaDTGZHbdc5OzmE3CLHr+Pi2SVcYObV46KRpt02nLkUrSnTbVj4fvOhgt4sGkYbE40vxoeq4dTp10ehJdlyszHgi8SQzI4ryJMqr03OLvus0BLFENUKzs2zFEtOoOScR4sQuPS8EiSxtlYWU/65T33TzpZuWqN4D4sGXHW7rg64QEv1m51axs7LEimS3fCQKX4oPVccs2k91nN3vfDoi0RANMtGjqkjRjo7sBFs0FSGaxt3NsW7FVzyO8RMysWDXcTi5b06fpRv3gI4girZe61gK7fKrc++cWGLt2gGvLLFO2yZyjKrN5dNP5CBEhBEfYnwpPlSNhExY8PurBISdFUR2bjdEU5GcmlyduqF0zqkzIhQdp/u7qjHzY4VNVnRH9QQnZSiafHhZBkQdIMGu3PO/RSuKZKN7u+vXsfaq8uDkOmVp6KISGvz9U/0usyIbEovvxIedmdFJh8wXWLcdpFt0GzDdtEQNh1PzrsisyVbuaCq1ylKV7I2Fcbs4w65sy1CV4WRCZhW1O8aJy1SnU3aCjqVKZz+v0XW7iLbFwnrjFGP5EOM78aGySoi2s7/rmiVFownZqMjO5aNjXWGPsUtXhpNKqpOOk0ZSV9SIPkdDPAWBHxuHWOK2k7SzcOmWYy/iEZxaFnXrOY/s+nQ6Za8tpbp5cFsfZK4WmYuc/awzwIo2f24w4kOM78SHClXBZAsvH9shSkc26nDiy1QJHieFzU3jGwucWmJiTSpU2Fg9r2S/9ljlT5SunUXBab11gk79diLoRYOPZLT+OBX+/LWLrKkyK7TIpcKfn9+WbPdrIeJ4hdNnn30WN9xwAyorK5GWloYnn3xSuf+hQ4eomZ7949+Y9/DDD6Ourg6ZmZnYtm0bXU3NK+xGHSJlrfosqlx2lY31P0Zb+BPdubDP0hBdIG0s/gxyZAKF//PqXG6fja6lM1nroO59ZK9RNAgUDRp17mey3BdTp8U4Fh9jY2PYuHEjHn74YUfHnTx5Ep2dnfSPfY3vT37yE+zevRv33XcfXn75ZWzcuBE7d+6c98IbHbxoOEQNkUxxi46R5YPd5uVoJdmFgKyx95pYdSA6+LFxiCXxeFai+ujkvLL66zQdHrZTVbUhsusRWUpSGdF90NlHp122SyceGPEhxrHb5brrrsN1113n+ERlZWUoKCgQ/va1r30Nd9xxB26//XYAwL59+/Cb3/wGjzzyCO655x5H53H7kHQLJK/K2XOKTH38Obw0+8XahCi7RtnvThtgr/FjBfUriXS7qVwCTkbqXiBrI2LdSarqq25dttvPzX3iXSui9la0XeRqUeUpnm2FF+LBj21b3F4st2nTJlRUVOBd73oX/vSnP9Ht09PTOHLkCHbs2PF2ptLTsWPHDhw+fFiY1tTUFIaHhyP+7PDSykD+iwoVazoUnTdR1gk3alo00lD9zp9P9pvBkEhU5Z6vH7GwzKgsG6rfddOJ9th4nF+VJisQ+HvCt6uyNkn1P5mtxAuJmIuPiooK7Nu3Dz//+c/x85//HDU1Nbjyyivx8ssvAwB6e3sxOzuL8vLyiOPKy8vnxYUQ9u7di2AwSP9qamrobyqTaLTmUoLMjSDq0EUixK3ZVCZ0yG/JZLJTjaq8zI8XZnBD4kj2ZyeqS164Xfh4jmS6Zq+I5rpYASISIyILBr8vuy2RbaJxu4iJ+WyXhoYGNDQ00O+XXnopGhsb8fWvfx3/+3//b1dp7tmzB7t376bfh4eHIwSILk5dBQSZ+Y/dxu4bjYlXtb+bAilKgzdrin4XoXP/Ym0BSZZKqWPyNcwnle8ZX7Zl9cdJOjL8KE5kqFy5rPiTWUZkbnHROeKBcbuISchU261bt+K5554DAJSUlGDRokXo6uqK2KerqwuhUEh4fCAQQCAQiDofvIhwikx48HERouP4fIi2xQI+f3amXi/Ms3bH+KFi+eEaYo1KpKcCbst7ql2nU7weYPDWDNk+snsrspSwLIRnkgrELeaD5ejRo6ioqAAAZGRkYPPmzTh48CD9fW5uDgcPHsT27dvjkh+3BZF354gKu6zw8yMllQk31SqKLBaG/c3P5kSDGJ1OJZmRlVvW5erWGilqN5LRDWWHk/qtsgjbuVNlbSf7m8zdHu+yZ9wuYhxbPkZHR3HmzBn6vampCUePHkVRURFqa2uxZ88etLe349FHHwUAPPTQQ6ivr8fatWsxOTmJ733ve3j66afx+9//nqaxe/du3HrrrdiyZQu2bt2Khx56CGNjY3T2i1NE1geZKU9mhXBTSHkzn51VwU26Xo8s+Ou1Ez52biRZB2N3L/lRsc4xBkMywJdTHTerzjEii4JOWyarw6I6xqYjO55PS+XycIKbtswurzppxlvQGbeLGMfi46WXXsJVV11Fv5PYi1tvvRX79+9HZ2cnWlpa6O/T09O4++670d7ejuzsbGzYsAF/+MMfItK48cYb0dPTg3vvvRfhcBibNm3CgQMH5gWh6iCq1CI3A4soToPf18nD1y3YTsVErCqMk0bE7jcdoSRqNFN9VGxIftzWZ6+wc63qDHj4tkw1OJC1e6o6KhtA8b/r3EsvBhFO3cT8fqI0DMlBmuWDln54eBjBYBD33HMPMjMzhZ2gSvGTz+zvXt0WWcHX7aiTFaejI7vffVAMXZFI/7PxfScO3XaI3YdsFz0zleVS1cbJLI6iAZnqvNEiO6fd/nbbZExNTeH+++/H0NAQ8vPz3WXaBtIvbdu2DYsXRxdeOTMzgxdeeCGm+Y03vny3C1sRVZ2g3QjAaaVSjSRk51btk0hkDQHZpjLRykYnqmeyUEVIIq93od3rZEFlbVC1F7wAkQkEO4sH/10mhNj0ZQMFr8qQrkWD31+2LZkGdMbtIsaX4gNw3rmLLBFOzbTJUti9QOa+UokyJxXejLoNiUTlEvQibbfpqCyiIpeLm5gHFXbWhngSjYDwU1vsV3wrPkTITHU6xzk5B8FtBRDFRLiJpYglMkuFnXlYJ6jN7hzJiBFTqUUsn5Vd2jrtEG9xEFk9VG2CrA0RpaPKX7zKtarNI99JflINY/kQs6DEh52pjt/mxgKi8tWq0pC5ilTn49P2smKKzu20Atjl3+uGRLehjEWD6sfGwRA77Oqu6ruOtUMmKlTnFB0bTblWxXbZDaBSUWTIMOJDzIIQH04sArzq539zim7DQLarTK3sd91r0rWaiI5zkrbsN1FHb2fajcaUrCMsVG4jp+eLJW4a7kTjhfVNVF51xHg05/PK3SLCSXnUqRs6Fgu7ummXdy+fo06eYi1GEmmZNOJDjC/Fh10HrtrfibsjGr8uOZfqHKpGSdWp852UWwGicw1OLDM62LlaYtmIJIvoIMjucTI3RF6WLdVnL/EqXb6+quqnm/vkxGLBty129UrlIvUK/p7oDLZIPtyWK6/bPYN3+FJ8OC1kupU5WlSigGwXuV74NHi3jKqh072GWFVOHROuTPCJsHPjJHPHbPAvsjropLOPhRtStC2RdUQmilT7uzmHF+l4iWmX5uNL8aFCp5PV7Yid+kbt3AmyUYCossr+i9LVQWXOjQY3cSJO8hOPkbEhsbgVo/HEzlKn6yLljxXt46aOJtPIP1b5SJbr4zFuFzELSnzwHVW0lTsat4udOncyOhDlx6k1wQu/qhOciAryPdGjNkNiSMVnzlo5VYMOHbel3Xa2XjitV24RxZ+I6qioHZLlNVqBZOfSMSQXC0p86FgHdEco0RRqu9gRmShif7Nzt+gGpXmNqvFxmo7qu8HgB2Tl2knd1BlUeR2Lw9dzPj5JJSxU7V8sAl0TjbF8iFlQ4sMrZK4BNwVENIJg0xbtr8qTbF/euqGbttMKLLNYeIWxfhhYVHFPicSrDlRFvONJ2LZD5u6UiQ6VyPLKvZQsYoPHiA8xRnzAm2hq/jObtu7xfCWWiRuRgNAJduOPZ/eJh4nSjxXIkFj4EbcO8RQqoo7ZqXvULg2n+fAavh3RPb+qvUlWIWHwDiM+EJs57tHmgd0u82WqhIsqbZm1RbSP6rMuXjV8up2Grk/dsDDRGRDEc6SaamVU5Pq1E1ai48g2t+1tqggUY/kQY8SHgEQXapUZWWekJ7N4yLbpjFa89svy8IFosjwn+tkY/I/uKF23Q3ATvySzdrADj1h0SHbBrDLrq44bV9dVwx+T6vFfRnyIMeJDgBedXDSFxcuAKV2fqhO/a6wbPaejRqfmWz9WZEP80Ok4nbqBnJwzliLcLlg1GguoCCduaYO/WJDig7cs8BUqFm4YVYS3znlUsR+yfUXp8SMnUWwJnz9RrEg8UAUTun1WRngYdHFSzmXlSmdUr7L4xaLOOXW7qn6TtaWi/Qh2bY8IndgYGYm2mBrLh5gFKT5kFVoVd8GiW5h1ArFk+4vOL6rAon1Fflh+f9Fnuzy6aWDdIBppuX1Wdr/7sVIbvMGLsiGro6I6p+O68Ao37lv+N1GdZEWIrP1RuZXt8iIacNiRaOuJER9iFpT40HVB2KEjRtwWeJ1O1U28h8hsy1YKWaesshKp8hsNMouUF2kaDF5iJy5EvyUSmZXFzj0pEhKq41XthZO2QzRoSvQ9dIoRH2IWlPhwO1oG1IU+3jEHMjeJqLO2y5uuCdUrcSXLRzS/89iNygypTzxieUT1w8mxTn/3Kv92bZVqwGEn+HXbFdl3p9foRGykojBZyPhOfPD+TJ0KpZumKH3d44HYdtgqoaCbTiz8yzo4dUmpnqfIpGuEh/+I5nnqlgcd14SsLZC5FkQDhliIpmiP89py6zZdVbvLb7OzyiZKnBjLhxjfiQ+7TtmNktaJoVClrdoWi0KlagxTGd3Rosz1ZDAA3pYHlUCx6wQTVR/dntdpGxILd6msPdex9ibqfhvxIcZ34oPgRQG0swq4dUWIKpBTeB+qjs9WZEJWiSCV2Vnm45X95nUjFEu8bqSSseFw2on4HZ0yzqN7X1QdqOzc0aAbpyWL/+C36dwH2T5uLMUi7NrzVB9YLUR8KT503CR2lgzAecCjnSCQmQ7doJM3J64ZnTSc+Hl1f4slquegQtUQ+wW/XY8uqo7WrgNlP0fjMon1vRd1yLI4KNFn2TY3Azo34kDmmlK5U2XtoUhMxrvsG8uHGF+KD5EfUKfiRWst0a3MupVAp3ETVTo3nb1otKSKl5H9lkwuH94kLmuUdfCjAFmIyAYjKgGiak/sLI6xwsmAiM23G7ezrntZVc90kVlpdNpxUf50RFWsMeJDjC/FB5AaZjidPPKVX2YWFo0OnHxmKytbWVTxE2zDJkpPlO9key5uR2QyUrmRiObZJNt1q6xdKpGhm55X2FnlVBYWmRWAT19VH3XzxZ/DzqXr9n7xYskNydbGGMT4VnzwiDo/1WjeLi2RyU/0u6pxiWZkoPpNZoHRMVPq/KZyU4lGlPFCdq91nrkTi49f8dO1uXGt8b+r6rDM6ud1PvlBgZt6y6fBbrerD+zxdueR7R8vEmVhtcNYPsQsGPGhU0l0C66dWTGZTH4idCqpqPGVmZ5lIyuZadarUY1dWk6euUqw6ebLjw3EQkH27OzKUCLEtUoQqcQEa6UUlXuVu0IldkT7u7muaEmGtlWEER9iFoz4SEW8LHAy36+T0ZDOiIdUNJFwIft4cR1epOUGO7Hjx0aCxYt7Hqt75CRvunlwYqmUiW0vEQl8matGhk4+RaKFHOtFXU5WoWCIH74TH7qVXTRq17UGeJFHnXS87Mx0TKcil4zsO9/wieJGZNfjVcPjJi27Y3TcUrI0/S48AO86U9X9cnsvo8mb18IhXgKLLXtu6wNJ10nb6eVI3k1bLEorWQWNsXyI8Z34kCFT7KpRtJ3JUvRZFEPA/65ClUfRftGiOo/IKsJ/tnM96e7vBH70J0P0nGQmafKbyrQsyofoGIM9quem80zZ/VRWNjcWDrvzxgOdDlhWd3XiNlRpOD23HXwds3Nx6Yh92f6xcvdGgxEfYnwnPlRmflnhkylnUeG2+yyrQDoiR3Ucj1cjbdVIX+czmwabLx1RZifYvMKu4XU6yuKP82PDkKyI7jVvfXPaoeo8v3g/Y9WAw05Ai9Kxc4HKBkde1UWddpjPi05aur8lcoBgxIeY9ERnwGtY86NugUv06NWNiTEW5xdVepmIEzX4KsuQSsjFqjP3UpwRjJUjtdARtGz55f/iiZ01SFQ/2Lojqk8yd4zMysnWY7s8qYjmHuoe4yRvfuy8Ux3fWT78jtMRhOo30ShRZqFQfWbPpbJ86ObN7vd4dgo651KNUhcCqnvk9X1w+uyjLSux6AjtzmVXx8hnlaVCZSFS5VdlmUw2nOQp0flfSO2BLr4TH6rRgQy7UUUsSHSFVnWYogaNNR3aCRKZlUR2j0VuHK/uTawqfaIbs2RioTSssbxOkZiQCQzA2UBAhu7AIprrMRi3iwzfiQ9dEv0w41Exnbox7PKk8qWLBAhv/uXzInLF6OQjFYjmGhJdNpOZWMUFJRod16NOjAZ/f1QDB1m8iKpOGwxe4Tjm49lnn8UNN9yAyspKpKWl4cknn1Tuf9tttwl9qWvXrqX7fP7zn5/3++rVqx1fDAsfh6BSn3ynmgh/r1ew1+qF4ibwjaIsaE3WSPGihG8U2f+ivOuYjGX5jsVfrEh24ZFs98/rcq4iXtfDnk+VF1HeROmxv7H1lq2TovsoGmzI8hLPOpJqiNpkN39+w7H4GBsbw8aNG/Hwww9r7f+Nb3wDnZ2d9K+1tRVFRUX4u7/7u4j91q5dG7Hfc8895zRrAOw7X9U2pw/bjwUCmN+gq6wVIsEhExXs73wa5L/KusJvd3otfq3E8SReDWmixJ9TvDap8/VIta/ddn6bSPiz9dnt/V0onaVbjPgQ49jtct111+G6667T3j8YDCIYDNLvTz75JAYGBnD77bdHZmTxYoRCIafZiTmiCiz6nCzo5MmuIMtGULL9ZKZb2Xl40cFuZ9PxY4VjScbrsys/8cqzU+uWH+CtErLfyWdWSLDb7Dordj+3yOqwwaBL3GM+vv/972PHjh1YunRpxPbTp0+jsrISmZmZ2L59O/bu3Yva2lphGlNTU5iamqLfh4eHo8qTXxovXWTXaycW7NJkR1Mis7AsXX7kxwsZPo9Onle0z3ahNa5eXK+be+7FeaMpv9Gk7zYt3orIf2a3qax/dr+L0rPbR5eF1na6wWvrmF+I6zofHR0d+N3vfocPfOADEdu3bduG/fv348CBA/j2t7+NpqYmXH755RgZGRGms3fvXmpRCQaDqKmpiSpfqgfLd6ReFwKRW8LJcV7v6xReLPAjKpH7ReWC4T+zx7gZsRkTZ/yJ9n6LXACy717kSTfPXt0Xkn+yjfznYy9E5xXVJ/43kQvUy3KtaxmV5W+h4bYN8nubFFfLxw9/+EMUFBRg165dEdtZN86GDRuwbds2LF26FD/96U/x/ve/f146e/bswe7du+n34eHhqAUISzwftNtRSDxH/7rpixpW/vpEFhG7+y0a2YlwahXRIREju1RqaOLhHlNZ0dy4QePt0rMrl7pWC1Ge+aBR0e/s8V7UEVEasjST3U1tSBxxEx+WZeGRRx7BP/7jPyIjI0O5b0FBAVatWoUzZ84Ifw8EAggEAlHlRxYg6eQ4v+GlH5dvEEUCgnwXbVOly3/mG2AvnpGOIDKkTmyGXWfpZDTvBJEAVyGrC6LtfP1RxVLJzi+ylsjylEqiOJnwwnLhx3sfN7fLM888gzNnzggtGTyjo6NobGxERUVFzPLj1JwlcgWovqvO62R7KiHyQ7PbRe4rWUPJompM2c+pauKVuR38htdm52jqXLzcLDpWDF13i0rIs2k6KT9O92X/i65Fhtf10U15SJQLw7hdxDi2fIyOjkZYJJqamnD06FEUFRWhtrYWe/bsQXt7Ox599NGI477//e9j27ZtWLdu3bw0P/GJT+CGG27A0qVL0dHRgfvuuw+LFi3CzTff7OKSYofKhOi0AutuTwTRjnR0G13VNrt0RZ/jaeL10sWTTM8+leAFp5u6FUsXjEocsN9VeRFdn0y4q46JJt92vzm16HiB23wkAmP5EONYfLz00ku46qqr6HcSe3Hrrbdi//796OzsREtLS8QxQ0ND+PnPf45vfOMbwjTb2tpw8803o6+vD6Wlpbjsssvw/PPPo7S01Gn2PIcdlSRr4XZKLK+FvV/8OcnvfD50KpZM7PmxUhKcuJFS4T4ksv7IOvpE3DfROWVWQ9VxqvLhdDCUqPsQ7zIR73gfgxzH4uPKK69UPrz9+/fP2xYMBjE+Pi495vHHH3eajbjBm/KddgTJKFiitdIA9qMuWWCp6B6K3DGyQDn+eJW7xcsYENE1xYOFILKiweuRvRfILBwqa6DIpSGrF3Zlwcn12eUtlujcj1icL97XmuyWj/7+fnzkIx/Br371K6Snp+O9730vvvGNbyA3N1crX+9+97tx4MABPPHEE/Mmk6hYsO92cYqu73ahI2pwZYKC/c+jGuWJ0pal4+Uz8bLRX2jE496o6qIT64COsFaJAZVVRZW2TtySbn0h+UhFdAc9qXJ9yS4+3ve+96GzsxNPPfUUzp8/j9tvvx0f/OAH8dhjj9ke+9BDD7l+DkZ8COA7Ot3RJxt7IDqOj1GQjTrcVDC7c/DXZ5eGzNKgi138RTRpitJOBreYkzzw++qIJ1G5cltW440T4WZ3PbrP3Ot7ICvTTsq36Dpl353kyclxovIjK1fsMTpWElWb5qauqtoh3TLlxL2b7PALakY78/PEiRM4cOAA/vKXv2DLli0AgG9961t497vfjQcffBCVlZXSY48ePYqvfvWreOmll1xNDonrImOpgqzS8RCh4cQ8yptYVY2UyPUgyicrekTn4vMpGl3xjYbI0iDLRzKg05jFMt/sveX/2HOrrECqZyVreEX/k/H58KiuRybKWGEv6yDjhc5AxA4d60w8YO8rnw+2LPJlUtQeydotO2uRqPyKBIeTe5QsdUHUJrj5A4CampqIBTb37t0bVd4OHz6MgoICKjwAYMeOHUhPT8cLL7wgPW58fBx///d/j4cfftj1a1GM5UMDlZCwO479z3+2O053m9ORl6jB1k0/mUcQdiMqXYHiphNwUhb4c+g+K9W+yYDdiFinI5GNjnWtDrG0/PADB53fnZYntxYCGU7qg44VRufe6+wvO9bNM2fzLCORllEvRBA5vrW1Ffn5+XR7tOtdhcNhlJWVRWxbvHgxioqKEA6Hpcd9/OMfx6WXXor3vOc9rs9txIcCpwUmmTsGlmgbN6fmTzt086FjgrVrvPnRVzxGn26Eq9t9neClkLS7b07vq5sOJtb1T2QdkFleeCuATETaXU+iOk3dc3qRv2jSSIZ6FE/y8/MjxIeMe+65Bw888IBynxMnTrjKw3/8x3/g6aefxiuvvOLqeIIRH1GQKmJDRqLzL3L/EERmWnabaGTMixOZ5YA1BS9kvGyMRWnF+/4monMRlU0dISa7X6o64SRP8cKLczm1DHl57njgpeVDl7vvvhu33Xabcp9ly5YhFAqhu7s7YvvMzAz6+/ul7pSnn34ajY2NKCgoiNj+3ve+F5dffjkOHTqklUcjPmxQjVBMB/YWMh+9k+NF/mCVu0dm4hXFVthZO1hSsXFLVpyUBd17LXN3xAtWvPLbZLEMdiKZ7Ed+Z4/zq/XVC/h7m6yWjUSIj9LSUq11srZv347BwUEcOXIEmzdvBvCWuJibm8O2bduEx9xzzz3zXg67fv16fP3rX8cNN9ygnUcjPmyIR4FeqB2eToyAqJEnv7PbZA21zrZYxgkY9NBxp+g8n3g8S/4cIqucLA+ifVSxEk7bA78PiJzUc4M9F1xwAa699lrccccd2LdvH86fP4+77roLN910E53p0t7ejquvvhqPPvootm7dilAoJLSK1NbWor6+XvvcRnzEAN24A9WxOoFndjEQIh+0FwFtqvywuOk0VJ9F39ltOtfiJADP4D1expmIiLcVRPXdbn+C14IhmjZEZtGxO5eTc6jS0Lm2VCMRlg8n/OhHP8Jdd92Fq6++mi4y9s1vfpP+fv78eZw8eVK5UKgbjPjwGJEpVeULVgkENwqfD3RjzyPyTdu5O3SuT9X5R1Np4j2KS5ZRo5M4AqfiNtG4dSPoCt5Eoio/0YheO+uIrF476fBF+9qVQdX1sr/ZtXGic8gGMvw2XfdXIkl28VFUVKRcUKyurk6r33GKER9RIuq8WQEgeigiE63od10Ro2vJYBsDu7TY63NqifAKr9PWvT+JQHZfRR2M7HmIhKeoQ0kl2PwmIu9OBKnqvkeDqoNnfyflg++Q2f98GbErSzqCSiZaRPvLnqFssMRfKwu/TdWmJpJkFx+JwoiPGBGtX1LUKLg16+ruq7sNSB4rAUHHaiNqLHVcVsmArBMR7WO3zes88eiY6lMFty4HVVmLpnzJLAM6+RX9bmdVcdOm6A6AZPvyVpNUKi8GfXwrPuJZaKM5V7J1crroWlu8RmYpkpmgye+iY0UWJTuzrcwqxe+jsy0anJjqZSbwWKHTAUZbN+06YRF2VkhRvmSmfbvzyCwL0dYXHZHtBC/ScZKGzvXrCBSSll0asn3iLWiMgJqPb8VHPB+27rl0KlE8Oge3DaDuaJv/3a6zdoJspMT+puNPVrmddP3QsvyISJTLIFHn1zHZR5Mnp6KDCFRZGVbVQZkoYfNhZ92QCVyv6nu0ddqLvDgRFvz+um2g7nO32y/RA6ZEpJFs+FZ8JAK7BtXrUYtbojX5OiGWfli+UxFZLXRM47L0ZEIrUVafVEJmZUoEOs+IN/PzZUBVbkS/8WVEtY8X1xJtnY63BUS1fzQi35A6GPHhIdGagGXbVaN9nX39hKpTY4WHbNQvEiY6+/LwIkU2Mk4VFpJvXec6nYhmu3JiOlN7dN0kui7VZMJYPsQY8ZEAnBakVC54Oo2s0+tTpSkz68rOKzOP66YXKzN6vIlVGfM63WjvcTRWK1FZ0SlvibAqpBp2MVZOj0smjPgQY8SHR6g6sHicMx7EqnN1E1CmEyQocqvIjtEJIlTt58RikijcdLbREIvyIhr5yuIuyGfRcWwe7dJX7W93bpl1TObG8WMnEw0699uQmhjx4RGJDigkuG3s7TprnbSj6Wx0758spkPU+auEgpM4ACd5i+b4WBPvfMQimFIUNyXqvGUWLVU8D28JI99F+4lEhUxg2NUfJ65Wt3FXusclynrntK4kS53SwVg+xBjxsQBx25l6nYdYBL7KRrz8dtE2Ph1RGk5MwKJOyW4k7nfzuhtEQkNl/WCfrezZ6Twr0blkwlZlbYlWMJDPXtYXlYtIx10Zy3JqZ21KNYz4EOM78eFmtOr2wSY6SM+Nu8ILvPBty6wE7DmcoApEU3VesmuRjWrtfPzR3BuvGnQvLQ7JisxywX4WCRD2WN1nJRM8dp9F33Wvx00aTojmfPEUHmSbrG67STeZy/VCwnfiw2nBiqYgxroQOx1pu0k/nsfp4EWcAaC2VogEiGi7KF1dH7/qfDJTvVdWET80rnaWK/Y38pk91q6DUlmyZM/H7llFUy9kZSYVcCsC3Kbhpnwnsk4Yy4cY34kPP5EoC0YqI+oMnFow+M+qzkz3OH4fO/Hit+fiBl5A8s9T9NzsLF38dvY4drssDdHnRFtAU4mF6Go04kOMER8Coh3JRNN56FZOvzZ4bkyqLLojU9EIWmTelcUJyHz/7O+yTksn314JkGR3wcjSFT0rXojwAkT2rOzOx6fH54PfJspPNKR65xutRc7O6pPq7ZwRH2KM+BAQbWMQzfHxNq2r0onlKDwWlUnHr6uygMj2dYvM8qESOGxHqiOI+LS9vgZZul6h6mhU7jAdV5lIVMrun+we2z2rWHYssufp5Hl4WX9laXldj/zY0RrmY8SHQYjI/OykIUu060DlDlF9VuU52hgZ2Tlkli3Z717d12S0nulct939Eu2rStcuHzrn8RqddGXWNS9QuQxV1iPDfIzlQ4wRHzHAbUX0qgLrBsM5PZeT/e32tfvdqworGvW6HcHqHKeTlt0+sjyrrol81kVHbIn2t0P3udlZIuysFrJnqcq702elcw5ZGdAlmjqoI6jctkPsf920ZPvbuRz9jhEfYoz4iAGySqoy+Xs5ctAd5el2uCqSuVLILBui2AGZ+V8mOEQNq8qVoxI9onOT3/h03Y7kRflJFCrhxN9bmQBRCRY2PdX5VHVOJlRkz0p2nIpYWQp02hK78io7xmk+DAYZRnzECFEHB8hHA8lqskxkAyLrxN0giqtQ7ct3/mwadlYkmbhRxRXIhBKfdz/AXyt/H2TPyq6uyNwQKqEm64T5fNg9K9l3GbGs7zppi+6Nqo74rQzGE2P5ELMgxIesEXej/kXI/KOqhoofyXpBMggZUePvVb7cVkBRntjtMiuIKP+yPKiep6ihF30X5VF3tJ2s4pVHJhAA8fPgET0rpwKF/G53z+ysS7r3XWcfL9siuzzolrFY4EZQq+qd6hxOzxMrjPgQsyDEh12FjLbhVo3QZZ2SW1O5jjUlkYhGi17ly8sGUiSOdDtGURqy42RuA9k9kZUT2Uhe9D1Z0bEC2nXyOhYsO7Gm86y8EhV8np0cp0rPaRqigZfqe6xwcx7j7vEnvhMfyTIKjIXJnG+sU3X0Gw3R3E/ZSNbJCNhuu9tz2OGHZ2snknXunZ04sbOWOD1fvOqVkwGEah/VQMipBUGWvuncnWEsH2J8Jz5i2VDIRvKqyu1k1Csa1Yn84KJ0RWkngxuGzQdPovPFI4vVIL8B85+xqrFn91E9C9V5ZM9etW+y3VcW3fohunbVsxBZrfhjddwLokGD1/c0Xs8oFtaNVOwEEy2YFup9t8N34iNWiDoP0YjLyWhYtJ+OuZ/fX5Z2MndCbollQ8LffzsXjKjj4/cR5Vs1srZzGdgdl+wCRLd+yMSfbH+CSoQ5sWCptnuBqAx7cT4/dlLRYu5JcmLEhyaqRtPLRsppWsnayRB0rDwyEmG5EQkOu84p2k7OLi9e/pYq2IkyGU7rpI6ws9suSksmnFToCJJkFpYGMcbyIWZBiw/VKElmxtUdwarOxWJnkpfl1c41oHPd8UBVaezyq3JpxNqUqnuPZUGL7GfVM9N5VrI88ccnU8ekclHabVNZlGTnIefSueei84pcmHz+neRF9J1FdL066cqOS5bnDiRXOUwGjPgQk+5k57179+Liiy9GXl4eysrKsGvXLpw8edL2uJ/97GdYvXo1MjMzsX79evz2t7+N+N2yLNx7772oqKhAVlYWduzYgdOnTzu7EhfwJl42PypzL2mgRGnpnJP9E6WnMwKS5V3UKcv82qp94ollWdp/8cyvSCDwz0pVDvjj3bhERGVFlA9RXhKJKH9kO6DuOPlr1jmP6P6I0hblRZRf3fO7RVSm+bw5Ob8qLUNicdK+6bR9fsGR+HjmmWdw55134vnnn8dTTz2F8+fP45prrsHY2Jj0mD//+c+4+eab8f73vx+vvPIKdu3ahV27duH48eN0ny9/+cv45je/iX379uGFF15ATk4Odu7cicnJSfdXJsCuA3Ni5mdHZ3z6svPIzq37u11+7ESFzkiMz7+T0VyywQs90Z8IVTnh7wv7X3XfVOdxUhb4/Dl5VqKyGg065V223YnlSnSPZflXbYvmWemgU950BYXsGtlt8RJIuvuQz6K2RPZcvCiDhtQkzYri6fX09KCsrAzPPPMM3vnOdwr3ufHGGzE2NoZf//rXdNsll1yCTZs2Yd++fbAsC5WVlbj77rvxiU98AgAwNDSE8vJy7N+/HzfddNO8NKempjA1NUW/Dw0Noba2Fh//+McRCATcXo7BYDAYFgBTU1P4+te/jsHBQQSDwZicY3h42PO0h4aGkJ+f72maCcOKgtOnT1sArNdee026T01NjfX1r389Ytu9995rbdiwwbIsy2psbLQAWK+88krEPu985zut//E//ocwzfvuu88CYP7Mn/kzf+bP/Ln+a21tjaYLVDIxMWGFQiHP8hoKhayJiYmY5TfeuA44nZubw8c+9jG84x3vwLp166T7hcNhlJeXR2wrLy9HOBymv5Ntsn149uzZg927d9Pvg4ODWLp0KVpaWmKmYpOV4eFh1NTUoLW11T+KWANz3ea6FwoL9dpjed2WZWFkZASVlZWepsuSmZmJpqYmTE9Pe5JeRkYGMjMzPUkrGXAtPu68804cP34czz33nJf50SIQCAjdK8FgcEFVTpb8/PwFee3muhcWC/W6gYV77bG67ngMVDMzM30lGLzEUcAp4a677sKvf/1r/PGPf0R1dbVy31AohK6urohtXV1dCIVC9HeyTbaPwWAwGAwG/+BIfFiWhbvuugtPPPEEnn76adTX19ses337dhw8eDBi21NPPYXt27cDAOrr6xEKhSL2GR4exgsvvED3MRgMBoPB4B8cuV3uvPNOPPbYY/jlL3+JvLw8GpMRDAaRlZUFALjllltQVVWFvXv3AgA++tGP4oorrsBXv/pVXH/99Xj88cfx0ksv4Tvf+Q6At6aLfexjH8O//Mu/YOXKlaivr8fnPvc5VFZWYteuXVr5CgQCuO+++xbkTJeFeu3mus11LxQW6rUv1OteKDiaaiubU/6DH/wAt912GwDgyiuvRF1dHfbv309//9nPfobPfvazaG5uxsqVK/HlL38Z7373u+nvlmXhvvvuw3e+8x0MDg7isssuw7/9279h1apV7q7KYDAYDAZD0hLVOh8Gg8FgMBgMTnEVcGowGAwGg8HgFiM+DAaDwWAwxBUjPgwGg8FgMMQVIz4MBoPBYDDEFV+Ij4cffhh1dXXIzMzEtm3b8OKLLyY6S1Hx+c9/ft6bMFevXk1/n5ycxJ133oni4mLk5ubive9977xF2lpaWnD99dcjOzsbZWVl+OQnP4mZmZl4X4qSZ599FjfccAMqKyuRlpaGJ598MuJ3y7Jw7733oqKiAllZWdixYwdOnz4dsU9/fz/e9773IT8/HwUFBXj/+9+P0dHRiH2OHTuGyy+/HJmZmaipqcGXv/zlWF+aErvrvu222+Y9/2uvvTZin1S87r179+Liiy9GXl4eysrKsGvXLpw8eTJiH6/K9qFDh3DRRRchEAhgxYoVEbPv4o3OdV955ZXznvmHPvShiH1S7bq//e1vY8OGDXSF0u3bt+N3v/sd/d2Pz9rggMS9VsYbHn/8cSsjI8N65JFHrNdff9264447rIKCAqurqyvRWXPNfffdZ61du9bq7Oykfz09PfT3D33oQ1ZNTY118OBB66WXXrIuueQS69JLL6W/z8zMWOvWrbN27NhhvfLKK9Zvf/tbq6SkxNqzZ08iLkfKb3/7W+v/+//+P+sXv/iFBcB64oknIn6///77rWAwaD355JPWq6++av31X/+1VV9fH/FypWuvvdbauHGj9fzzz1v/9V//Za1YscK6+eab6e9DQ0NWeXm59b73vc86fvy49eMf/9jKysqy/v3f/z1elzkPu+u+9dZbrWuvvTbi+ff390fsk4rXvXPnTusHP/iBdfz4cevo0aPWu9/9bqu2ttYaHR2l+3hRts+ePWtlZ2dbu3fvtt544w3rW9/6lrVo0SLrwIEDcb1egs51X3HFFdYdd9wR8cyHhobo76l43f/xH/9h/eY3v7FOnTplnTx50vrMZz5jLVmyxDp+/LhlWf581gZ9Ul58bN261brzzjvp99nZWauystLau3dvAnMVHffdd5+1ceNG4W+Dg4PWkiVLrJ/97Gd024kTJywA1uHDhy3LeqtzS09Pt8LhMN3n29/+tpWfn29NTU3FNO9u4Tvhubk5KxQKWV/5ylfotsHBQSsQCFg//vGPLcuyrDfeeMMCYP3lL3+h+/zud7+z0tLSrPb2dsuyLOvf/u3frMLCwojr/vSnP201NDTE+Ir0kImP97znPdJj/HDdlmVZ3d3dFgDrmWeesSzLu7L9qU99ylq7dm3EuW688UZr586dsb4kLfjrtqy3xMdHP/pR6TF+uG7LsqzCwkLre9/73oJ51gY5Ke12mZ6expEjR7Bjxw66LT09HTt27MDhw4cTmLPoOX36NCorK7Fs2TK8733vQ0tLCwDgyJEjOH/+fMQ1r169GrW1tfSaDx8+jPXr10e8KXjnzp0YHh7G66+/Ht8LcUlTUxPC4XDEdQaDQWzbti3iOgsKCrBlyxa6z44dO5Ceno4XXniB7vPOd74TGRkZdJ+dO3fi5MmTGBgYiNPVOOfQoUMoKytDQ0MDPvzhD6Ovr4/+5pfrHhoaAgAUFRUB8K5sHz58OCINsk+ytAn8dRN+9KMfoaSkBOvWrcOePXswPj5Of0v1656dncXjjz+OsbExbN++fcE8a4Mc12+1TQZ6e3sxOzsbUTgBoLy8HG+++WaCchU927Ztw/79+9HQ0IDOzk584QtfwOWXX47jx48jHA4jIyMDBQUFEceUl5fT5e7D4bDwnpDfUgGST9F1sNdZVlYW8fvixYtRVFQUsQ//DiL2XhQWFsYk/9Fw7bXX4m/+5m9QX1+PxsZGfOYzn8F1112Hw4cPY9GiRb647rm5OXzsYx/DO97xDqxbt47my4uyLdtneHgYExMT9FUQiUB03QDw93//91i6dCkqKytx7NgxfPrTn8bJkyfxi1/8AkDqXvdrr72G7du3Y3JyErm5uXjiiSewZs0aHD161PfP2qAmpcWHX7nuuuvo5w0bNmDbtm1YunQpfvrTn5rKtAC46aab6Of169djw4YNWL58OQ4dOoSrr746gTnzjjvvvBPHjx/Hc889l+isxBXZdX/wgx+kn9evX4+KigpcffXVaGxsxPLly+OdTc9oaGjA0aNHMTQ0hP/7f/8vbr31VjzzzDOJzpYhCUhpt0tJSQkWLVo0L0K6q6sLoVAoQbnynoKCAqxatQpnzpxBKBTC9PQ0BgcHI/ZhrzkUCgnvCfktFSD5VD3bUCiE7u7uiN9nZmbQ39/vq3uxbNkylJSU4MyZMwBS/7rvuusu/PrXv8Yf//hHVFdX0+1elW3ZPvn5+QkV77LrFrFt2zYAiHjmqXjdGRkZWLFiBTZv3oy9e/di48aN+MY3vuH7Z22wJ6XFR0ZGBjZv3oyDBw/SbXNzczh48CC2b9+ewJx5y+joKBobG1FRUYHNmzdjyZIlEdd88uRJtLS00Gvevn07XnvttYgO6qmnnkJ+fj7WrFkT9/y7ob6+HqFQKOI6h4eH8cILL0Rc5+DgII4cOUL3efrppzE3N0cb7+3bt+PZZ5/F+fPn6T5PPfUUGhoaEu560KWtrQ19fX2oqKgAkLrXbVkW7rrrLjzxxBN4+umn57mFvCrb27dvj0iD7JOoNsHuukUcPXoUACKeeapdt4i5uTlMTU359lkbHJDoiNdoefzxx61AIGDt37/feuONN6wPfvCDVkFBQUSEdKpx9913W4cOHbKampqsP/3pT9aOHTuskpISq7u727Kst6ao1dbWWk8//bT10ksvWdu3b7e2b99OjydT1K655hrr6NGj1oEDB6zS0tKkm2o7MjJivfLKK9Yrr7xiAbC+9rWvWa+88op17tw5y7LemmpbUFBg/fKXv7SOHTtmvec97xFOtb3wwgutF154wXruueeslStXRkw5HRwctMrLy61//Md/tI4fP249/vjjVnZ2dkKnnKque2RkxPrEJz5hHT582GpqarL+8Ic/WBdddJG1cuVKa3JykqaRitf94Q9/2AoGg9ahQ4cippSOj4/Tfbwo22T65Sc/+UnrxIkT1sMPP5zQ6Zd2133mzBnri1/8ovXSSy9ZTU1N1i9/+Utr2bJl1jvf+U6aRipe9z333GM988wzVlNTk3Xs2DHrnnvusdL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- "text/plain": [ - "Figure()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "Python: None" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "imshow(dlin.data[8], vmin=-0.5, vmax=0.5, cmap=\"gray\", aspect=\"auto\", extent=data_extent);colorbar()\n", - "savefig(\"J*dm_standard\")" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "5e32b57c-204b-4ab2-9c17-bca884e93414", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "Figure()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "Python: None" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "imshow(dlin_ext.data[8], vmin=-0.5, vmax=0.5, cmap=\"gray\", aspect=\"auto\", extent=data_extent);colorbar()\n", - "savefig(\"J_ext*dm_ext_extended\")" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "7b0e2922-45d1-4217-a007-8d80e48f7cef", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Building forward operator\n", - "Operator `forward` ran in 0.04 s\n", - "Building adjoint born operator\n", - "Operator `gradient` ran in 0.05 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.05 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.05 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.05 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `gradient` ran in 0.06 s\n" - ] - }, - { - "data": { - "text/plain": [ - "PhysicalParameter{Float32, 2} of size (256, 128) with origin (0.0f0, 0.0f0) and spacing (12.5f0, 12.5f0)\n" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rtm_lin = J'*dlin" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "cd24c659-7593-4675-9d57-120dc1427a18", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Building forward operator\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.25 s\n", - "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mDeprecated model.d, use spacing(model)\n", - "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39m caller = ip:0x0\n", - "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Core :-1\u001b[39m\n", - "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mDeprecated model.o, use origin(model)\n", - "\u001b[33m\u001b[1m│ \u001b[22m\u001b[39m caller = ip:0x0\n", - "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Core :-1\u001b[39m\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.28 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.25 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.22 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.27 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.27 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.29 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.26 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.26 s\n", - "Operator `forward` ran in 0.05 s\n", - "Operator `cig_sso` ran in 1.21 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.17 s\n", - "Operator `forward` ran in 0.03 s\n", - "Operator `cig_sso` ran in 1.24 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.19 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.27 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.18 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.23 s\n" - ] - }, - { - "data": { - "text/plain": [ - "PhysicalParameter{Float32, 3} of size (51, 256, 128) with origin (-300.0f0, 0.0f0, 0.0f0) and spacing (12.0f0, 12.5f0, 12.5f0)\n" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cig_lin = J_ext'*dlin_ext" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "fc3d12ec-4d53-4d57-bcf2-df31102e76f4", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "Figure()" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "Python: " - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "imshow(cig_lin[26,:,:]', cmap=\"gray\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "739ebc15-a9ad-4c5b-955a-7750381db132", - "metadata": {}, - "outputs": [], - "source": [ - "using Test\n", - "nh = n_offsets\n", - "ssodm = J_ext'*dlin\n", - "@test size(ssodm, 1) == nh\n", - "\n", - "ssor = zeros(Float32, size(ssodm)...)\n", - "ssor[26, :, :] .= dm.data\n", - "\n", - "dDe = J_ext*ssor\n", - "# @show norm(dDe - dD), norm(ssor[:] - dm[:])\n", - "a, b = dot(dlin, dDe), dot(ssodm[:], ssor[:])\n", - "\n", - "@test (a-b)/(a+b) ≈ 0 atol=sqrt(eps(1f0)) rtol=0" - ] - }, - { - "cell_type": "code", - "execution_count": 47, - "id": "234a3dd9-5d71-4fad-8983-b89b27d1593d", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.05 s\n", - "Operator `forward` ran in 0.03 s\n", - "Operator `cig_sso` ran in 1.02 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.03 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.05 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.03 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.07 s\n", - "Operator `forward` ran in 0.03 s\n", - "Operator `cig_sso` ran in 1.04 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.08 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.27 s\n", - "Operator `forward` ran in 0.03 s\n", - "Operator `cig_sso` ran in 1.06 s\n", - "Operator `forward` ran in 0.03 s\n", - "Operator `cig_sso` ran in 1.09 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.20 s\n", - "Operator `forward` ran in 0.05 s\n", - "Operator `cig_sso` ran in 1.09 s\n", - "Operator `forward` ran in 0.04 s\n", - "Operator `cig_sso` ran in 1.11 s\n", - "Operator 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- "output_type": "stream", - "text": [ - "Operator `extborn` ran in 0.75 s\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(1671168, (256, 128), 51, 1)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Operator `extborn` ran in 0.73 s\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = (1671168, (256, 128), 51, 1)\n", - "(length(dm), J.model.n, length(J.offsets), length(J.dims)) = " - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Operator `extborn` ran in 0.82 s\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(1671168, (256, 128), 51, 1)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Operator `extborn` ran in 0.72 s\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "107.049523 seconds (6.82 M allocations: 688.910 MiB, 0.04% gc time)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Operator `extborn` ran in 0.72 s\n" - ] - }, - { - "data": { - "text/plain": [ - "PhysicalParameter{Float32, 3} of size (51, 256, 128) with origin (-300.0f0, 0.0f0, 0.0f0) and spacing (12.0f0, 12.5f0, 12.5f0)\n" - ] - }, - "execution_count": 47, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "niter = 2\n", - "x_elsrtm1 = similar(cig_lin, Float32, J_ext.n) #zeros(Float32, size(cig_lin))\n", - "\n", - "@time lsqr!(x_elsrtm1, J_ext, dlin_ext; maxiter=niter)" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "e736fa3e-3c56-47e9-b3c4-837743592f0b", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "plot_cig (generic function with 1 method)" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "function plot_cig(cig)\n", - " d = (12.5f0, 12.5f0)\n", - "\n", - " cig_fs = 12\n", - "\n", - " # reshape data\n", - " y = reshape(permutedims(cig, (2, 3, 1)), n[1], n[2], n_offsets, 1)\n", - "\n", - " # rc settings\n", - " PythonPlot.rc(\"figure\", titlesize=cig_fs)\n", - " PythonPlot.rc(\"font\", family=\"serif\")\n", - " PythonPlot.rc(\"xtick\", labelsize=cig_fs)\n", - " PythonPlot.rc(\"ytick\", labelsize=cig_fs)\n", - " PythonPlot.rc(\"axes\", labelsize=cig_fs)\n", - " PythonPlot.rc(\"axes\", titlesize=cig_fs)\n", - "\n", - " # positions\n", - " xpos = 1.5f3\n", - " zpos = 0.8f3\n", - "\n", - " xgrid = Int(round(xpos / d[1]))\n", - " zgrid = Int(round(zpos / d[2]))\n", - "\n", - " # subplots\n", - " fig, axs = PythonPlot.subplots(\n", - " 2, 2,\n", - " figsize=(20, 12),\n", - " gridspec_kw=Dict(\"width_ratios\" => [3, 1],\n", - " \"height_ratios\" => [1, 3])\n", - " )\n", - "\n", - " # convert to Julia array (CRITICAL)\n", - " axs = pyconvert(Array, axs)\n", - "\n", - " PythonPlot.subplots_adjust(hspace=0.0, wspace=0.0)\n", - "\n", - " # color scaling\n", - " vmin1, vmax1 = (-1, 1) .* quantile(abs.(vec(y[:, zgrid, :, 1])), 0.99)\n", - " vmin2, vmax2 = (-1, 1) .* quantile(abs.(vec(y[:, :, div(n_offsets,2)+1, 1])), 0.99)\n", - " vmin3, vmax3 = (-1, 1) .* quantile(abs.(vec(y[xgrid, :, :, 1])), 0.99)\n", - "\n", - " # ======================\n", - " # Top-left\n", - " # ======================\n", - " ax = axs[1,1]\n", - " im1 = ax.imshow(\n", - " y[:, zgrid, :, 1]',\n", - " aspect=\"auto\",\n", - " cmap=\"gray\",\n", - " interpolation=\"none\",\n", - " vmin=vmin1,\n", - " vmax=vmax1,\n", - " extent=(0f0, (n[1]-1)*d[1], offset_start, offset_end)\n", - " )\n", - "\n", - " ax.set_xticklabels([])\n", - " ax.set_xlabel(\"\")\n", - "\n", - " ax.hlines(0, 0, (n[1]-1)*d[1], colors=\"b\", linewidth=3)\n", - " ax.vlines(xpos, offset_start, offset_end, colors=\"b\", linewidth=3)\n", - "\n", - " # ======================\n", - " # Bottom-left\n", - " # ======================\n", - " ax = axs[2,1]\n", - " im2 = ax.imshow(\n", - " y[:, :, div(n_offsets,2)+1, 1]',\n", - " aspect=\"auto\",\n", - " cmap=\"gray\",\n", - " interpolation=\"none\",\n", - " vmin=vmin2,\n", - " vmax=vmax2,\n", - " extent=(0f0, (n[1]-1)*d[1], (n[2]-1)*d[2], 0f0)\n", - " )\n", - "\n", - " ax.set_xlabel(\"X [m]\", fontsize=cig_fs)\n", - " ax.set_ylabel(\"Z [m]\", fontsize=cig_fs)\n", - "\n", - " ax.set_xticks([0, 500, 1000, 1500, 2000, 2500])\n", - " ax.set_xticklabels([\"0\", \"500\", \"1000\", \"1500\", \"2000\", \"2500\"])\n", - " ax.set_yticks([500, 1000, 1500])\n", - " ax.set_yticklabels([\"500\", \"1000\", \"1500\"])\n", - "\n", - " ax.vlines(xpos, 0, (n[2]-1)*d[2], colors=\"b\", linewidth=3)\n", - " ax.hlines(zpos, 0, (n[1]-1)*d[1], colors=\"b\", linewidth=3)\n", - "\n", - " # ======================\n", - " # Top-right (hidden)\n", - " # ======================\n", - " axs[1,2].set_visible(false)\n", - "\n", - " # ======================\n", - " # Bottom-right\n", - " # ======================\n", - " ax = axs[2,2]\n", - " im3 = ax.imshow(\n", - " y[xgrid, :, :, 1],\n", - " aspect=\"auto\",\n", - " cmap=\"gray\",\n", - " interpolation=\"none\",\n", - " vmin=vmin3,\n", - " vmax=vmax3,\n", - " extent=(offset_start, offset_end, (n[2]-1)*d[2], 0f0)\n", - " )\n", - "\n", - " ax.set_xlabel(\"Offset [m]\", fontsize=cig_fs)\n", - " ax.set_yticklabels([])\n", - " ax.set_ylabel(\"\")\n", - "\n", - " ax.vlines(0, 0, (n[2]-1)*d[2], colors=\"b\", linewidth=3)\n", - " ax.hlines(zpos, offset_end, offset_start, colors=\"b\", linewidth=3)\n", - "\n", - " # ======================\n", - " # Remove spines (safe)\n", - " # ======================\n", - " for ax in axs\n", - " for spine in [\"top\", \"right\", \"bottom\", \"left\"]\n", - " ax.spines[spine].set_visible(false)\n", - " end\n", - " end\n", - "\n", - " PythonPlot.show()\n", - "end" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "3c9de7c9-81e1-4389-8d4b-402ed7c3cd79", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "sys:1: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n" - ] - }, - { - "data": { - "image/png": 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- "text/plain": [ - "Figure()" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plot_cig(cig_lin)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5b0b1ad5-ae1a-4133-8dc9-37464bc1bb11", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Julia 1.8.5 1.8.5", - "language": "julia", - "name": "julia-1.8.5-1.8" - }, - "language_info": { - "file_extension": ".jl", - "mimetype": "application/julia", - "name": "julia", - "version": "1.8.5" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/src/judiagent/rag/imagegather/src/ImageGather.jl b/src/judiagent/rag/imagegather/src/ImageGather.jl deleted file mode 100644 index 4460cfa..0000000 --- a/src/judiagent/rag/imagegather/src/ImageGather.jl +++ /dev/null @@ -1,23 +0,0 @@ -module ImageGather - - using JUDI - using JUDI.DSP, JUDI.PyCall - - import Base: getindex, * - import JUDI: judiAbstractJacobian, judiMultiSourceVector, judiComposedPropagator, judiJacobian, make_input, propagate - import JUDI.LinearAlgebra: adjoint - - const impl = PyNULL() - - function __init__() - pushfirst!(PyVector(pyimport("sys")."path"),dirname(pathof(ImageGather))) - copy!(impl, pyimport("implementation")) - end - # Utility functions - include("utils.jl") - # Surface offset gathers - include("surface_gather.jl") - # Subsurface offset gathers - include("subsurface_gather.jl") - -end # module diff --git a/src/judiagent/rag/imagegather/src/implementation.py b/src/judiagent/rag/imagegather/src/implementation.py deleted file mode 100644 index 44e7ea4..0000000 --- a/src/judiagent/rag/imagegather/src/implementation.py +++ /dev/null @@ -1,160 +0,0 @@ -from devito import Inc, Operator, Function, CustomDimension, norm -from devito.finite_differences.differentiable import Add -from devito.builtins import initialize_function -from devito.types.utils import DimensionTuple - -import numpy as np - -from propagators import forward, gradient -from geom_utils import src_rec, geom_expr -from sensitivity import grad_expr, lin_src -from fields import wavefield -from kernels import wave_kernel -from utils import opt_op - - -def double_rtm(model, wavelet, src_coords, res, res_o, rec_coords, space_order=8): - """ - """ - _, u, illum, _ = forward(model, src_coords, None, wavelet, space_order=space_order, - illum=True, save=True) - - # RTMs - rtm = gradient(model, res, rec_coords, u, space_order=space_order)[0] - rtmo = gradient(model, res_o, rec_coords, u, space_order=space_order)[0] - return rtm.data, rtmo.data, illum.data - - -def cig_grad(model, src_coords, wavelet, rec_coords, res, offsets, ic="as", space_order=8, omni=False, illum=False): - """ - """ - u = forward(model, src_coords, None, wavelet, space_order=space_order, save=True)[1] - # Setting adjoint wavefield - v = wavefield(model, space_order, fw=False) - - # Set up PDE expression and rearrange - pde = wave_kernel(model, v, fw=False) - - # Setup source and receiver - go_expr = geom_expr(model, v, src_coords=rec_coords, - wavelet=res, fw=False) - # Setup gradient wrt m with all offsets - ohs = make_offsets(offsets, model, omni) - - # Subsurface offsets. - hs = tuple(h.shape[0] for h in ohs.values()) - hd = tuple(h.indices[0] for h in ohs.values()) - gradm = Function(name="gradm", grid=model.grid, shape=(*hs, *u.shape[1:]), - dimensions=(*hd, *model.grid.dimensions)) - - uh, vh = shifted_wf(u, v, ohs) - g_expr = grad_expr(gradm, uh, vh, model, ic=ic) - - # Create operator and run - subs = model.grid.spacing_map - op = Operator(pde + go_expr + g_expr, subs=subs, name="cig_sso", opt=opt_op(model)) - - try: - op.cfunction - except: - op = Operator(pde + go_expr + g_expr, subs=subs, name="cig_sso", opt='advanced') - op.cfunction - - # Get bounds from offsets - dim_kw = make_kw(ohs, DimensionTuple(*u.shape[1:], getters=model.grid.dimensions)) - op(dt=model.critical_dt, **dim_kw) - - # Output - return gradm.data - - -def cig_lin(model, src_coords, wavelet, rec_coords, dm_ext, offsets, ic="as", space_order=8, omni=False): - """ - """ - nt = wavelet.shape[0] - dt = model.grid.time_dim.spacing - oh = make_offsets(offsets, model, omni) - - # Setting wavefield - u = wavefield(model, space_order, nt=nt) - ul = wavefield(model, space_order, name="l") - - # Set up PDE expression and rearrange - pde = wave_kernel(model, u) - qlin = ext_src(model, u, dm_ext, oh, ic=ic) - fact = 1 / (model.damp/dt + (model.m * model.irho)/dt**2) - pdel = wave_kernel(model, ul) + [Inc(ul.forward, fact * qlin)] - - # Setup source and receiver - go_expr = geom_expr(model, u, src_coords=src_coords, wavelet=wavelet) - go_exprl = geom_expr(model, ul, rec_coords=rec_coords, nt=nt) - _, rcvl = src_rec(model, ul, rec_coords=rec_coords, nt=nt) - # Create operator and run - subs = model.grid.spacing_map - op = Operator(pde + go_expr + pdel + go_exprl, - subs=subs, name="extborn", opt=opt_op(model)) - op.cfunction - - # Remove edge for offsets - dim_kw = make_kw(oh, DimensionTuple(*u.shape[1:], getters=model.grid.dimensions), - born=True) - op(dt=model.critical_dt, rcvul=rcvl, **dim_kw) - - # Output - return rcvl.data - - -def ext_src(model, u, dm_ext, oh, ic="as"): - # Extended perturbation - hs = (h.shape[0] for h in oh.values()) - hd = (h.indices[0] for h in oh.values()) - dm = Function(name="gradm", grid=model.grid, shape=(*hs, *u.shape[1:]), - dimensions=(*hd, *model.grid.dimensions), - space_order=u.space_order) - initialize_function(dm, dm_ext, (*((0, 0) for _ in oh.values()), *model.padsizes)) - - # extended source - uh = _shift(u, oh) - ql = -model.irho * _shift(uh.dt2 * dm, oh) - return ql - - -def make_offsets(offsets, model, omni): - dims = model.grid.dimensions - dims = dims if omni else (dims[0],) - ohs = dict() - for d in dims: - nh = offsets.shape[0] - offs = CustomDimension("off%s" % d.name, 0, nh-1, nh) - oh = Function(name="offv%s" % d.name, grid=model.grid, space_order=0, - dimensions=(offs,), shape=(nh,), dtype=np.int32) - oh.data[:] = offsets // model.grid.spacing[0] - ohs[d] = oh - return ohs - - -def shifted_wf(u, v, ohs): - uh = u - vh = v - for k, v in ohs.items(): - if v.shape[0] == 1: - continue - uh = uh._subs(k, k-v) - vh = vh._subs(k, k+v) - return uh, vh - - -def _shift(u, oh): - uh = u - for k, v in oh.items(): - uh = uh._subs(k, k-v) - return uh - - -def make_kw(ohs, shape, born=False): - kw = dict() - scale = 2 if born else 1 - for d, v in ohs.items(): - kw['%s_m' % d.name] = -scale*np.min(v.data.view(np.ndarray)) - kw['%s_M' % d.name] = shape[d] - scale*np.max(v.data.view(np.ndarray)) - return kw diff --git a/src/judiagent/rag/imagegather/src/subsurface_gather.jl b/src/judiagent/rag/imagegather/src/subsurface_gather.jl deleted file mode 100644 index f43a4ac..0000000 --- a/src/judiagent/rag/imagegather/src/subsurface_gather.jl +++ /dev/null @@ -1,170 +0,0 @@ -export judiExtendedJacobian - -struct judiExtendedJacobian{D, O, FT} <: judiAbstractJacobian{D, O, FT} - m::AbstractSize - n::AbstractSize - F::FT - q::judiMultiSourceVector - offsets::Vector{D} - dims::Vector{Symbol} -end - -# Avoids PhysicalParameter issue with lsqr! -import Base: similar - -function similar(x::Array{T,3}, ::Type{S}, n::AbstractSize) where {T,S} - return zeros(S, n[:h], n[:x], n[:z]) -end - -function similar(x::Array{T,4}, ::Type{S}, n::AbstractSize) where {T,S} - return zeros(S, n[:hx], n[:hz], n[:x], n[:z]) -end - -# Handle both 1D and 2D offset dimensions -space_offset(N::NTuple{2,<:Integer}, nh::Integer, ndim::Integer) = ndim == 1 ? AbstractSize((:h, :x, :z), (nh, N[1], N[2])) : AbstractSize((:hx, :hz, :x, :z), (nh, nh, N[1], N[2])) - - -""" - J = judiExtendedJacobian(F, q, offsets; options::JUDIOptions, omni=false, dims=nothing) - -Extended jacobian (extended Born modeling operator) for subsurface horsizontal offsets `offsets`. Its adjoint -comput the subsurface common offset volume. In succint way, the extened born modeling Operator can summarized in a linear algebra frmaework as: - -Options structure for seismic modeling. - -`omni`: If `true`, the extended jacobian will be computed for all dimensions. -`dims`: If `omni` is `false`, the extended jacobian will be computed for the dimension(s) specified in `dims`. - -""" -function judiExtendedJacobian(F::judiComposedPropagator{D, O}, q::judiMultiSourceVector, offsets; - options=nothing, omni=false, dims=nothing) where {D, O} - JUDI.update!(F.options, options) - offsets = Vector{D}(offsets) - ndim = length(F.model.n) - if omni - dims = [:x, :y, :z][1:ndim] - else - if isnothing(dims) - dims = [:x] - else - dims = symvec(dims) - if ndim == 2 - dims[dims .== :z] .= :y - end - end - end - ndims_offset = length(dims) - return judiExtendedJacobian{D, :born, typeof(F)}(F.m, space_offset(F.model.n, length(offsets), ndims_offset), F, q, offsets, dims) -end - -symvec(s::Symbol) = [s] -symvec(s::Tuple) = [symvec(ss)[1] for ss in s]::Vector{Symbol} -symvec(s::Vector) = [symvec(ss)[1] for ss in s]::Vector{Symbol} - -adjoint(J::judiExtendedJacobian{D, O, FT}) where {D, O, FT} = judiExtendedJacobian{D, adjoint(O), FT}(J.n, J.m, J.F, J.q, J.offsets, J.dims) -getindex(J::judiExtendedJacobian{D, O, FT}, i) where {D, O, FT} = judiExtendedJacobian{D, O, FT}(J.m[i], J.n[i], J.F[i], J.q[i], J.offsets, J.dims) - -function make_input(J::judiExtendedJacobian{D, :adjoint_born, FT}, q) where {D, FT} - srcGeom, srcData = JUDI.make_src(J.q, J.F.qInjection) - recGeom, recData = JUDI.make_src(q, J.F.rInterpolation) - return srcGeom, srcData, recGeom, recData, nothing -end - -function make_input(J::judiExtendedJacobian{D, :born, FT}, dm) where {D<:Number, FT} - srcGeom, srcData = JUDI.make_src(J.q, J.F.qInjection) - return srcGeom, srcData, J.F.rInterpolation.data[1], nothing, dm -end - -*(J::judiExtendedJacobian{T, :born, O}, dm::Array{T, 3}) where {T, O} = J*vec(dm) -*(J::judiExtendedJacobian{T, :born, O}, dm::Array{T, 4}) where {T, O} = J*vec(dm) - -JUDI.process_input_data(::judiExtendedJacobian{D, :born, FT}, q::AbstractVector{D}) where {D<:Number, FT} = q -JUDI.process_input_data(::judiExtendedJacobian{D, :born, FT}, dm::PhysicalParameter{D}) where {D<:Number, FT} = vec(dm) -JUDI.process_input_data(::judiExtendedJacobian{D, :born, FT}, dm::Base.ReshapedArray{D}) where {D<:Number, FT} = vec(collect(dm)) - -############################################################ - -function propagate(J::judiExtendedJacobian{T, :born, O}, q::AbstractArray{T}, illum::Bool) where {T, O} - srcGeometry, srcData, recGeometry, _, dm = make_input(J, q) - # Load full geometry for out-of-core geometry containers - recGeometry = Geometry(recGeometry) - srcGeometry = Geometry(srcGeometry) - - # Avoid useless propage without perturbation - if minimum(dm) == 0 && maximum(dm) == 0 - return judiVector(recGeometry, zeros(Float32, recGeometry.nt[1], length(recGeometry.xloc[1]))) - end - - # Set up Python model structure - modelPy = devito_model(J.model, J.options) - nh = [length(J.offsets) for _=1:length(J.dims)] - dmd = reshape(dm, nh..., J.model.n...) - dtComp = pyconvert(Float32, modelPy.critical_dt) - - # Extrapolate input data to computational grid - qIn = time_resample(srcData, srcGeometry, dtComp) - - # Set up coordinates - src_coords = setup_grid(srcGeometry, J.model.n) # shifts source coordinates by origin - rec_coords = setup_grid(recGeometry, J.model.n) # shifts rec coordinates by origin - - # Devito interface - dD = impl.cig_lin(modelPy, src_coords, qIn, rec_coords, dmd, J.offsets, - ic=J.options.IC, space_order=J.options.space_order, dims=J.dims) - dD = time_resample(PyArray(dD), dtComp, recGeometry) - # Output shot record as judiVector - return judiVector{Float32, Matrix{Float32}}(1, recGeometry, [dD]) -end - -function propagate(J::judiExtendedJacobian{T, :adjoint_born, O}, q::AbstractArray{T}, illum::Bool) where {T, O} - srcGeometry, srcData, recGeometry, recData, _ = make_input(J, q) - # Load full geometry for out-of-core geometry containers - recGeometry = Geometry(recGeometry) - srcGeometry = Geometry(srcGeometry) - - # Set up Python model - modelPy = devito_model(J.model, J.options) - dtComp = pyconvert(Float32, modelPy.critical_dt) - - # Extrapolate input data to computational grid - qIn = time_resample(srcData, srcGeometry, dtComp) - dObserved = time_resample(recData, recGeometry, dtComp) - - # Set up coordinates - src_coords = setup_grid(srcGeometry, J.model.n) # shifts source coordinates by origin - rec_coords = setup_grid(recGeometry, J.model.n) # shifts rec coordinates by origin - - # Devito - g = impl.cig_grad(modelPy, src_coords, qIn, rec_coords, dObserved, J.offsets, - illum=false, ic=J.options.IC, space_order=J.options.space_order, dims=J.dims, - t_sub=J.options.subsampling_factor) - g = remove_padding_cig(PyArray(g), pyconvert(Tuple, modelPy.padsizes); true_adjoint=J.options.sum_padding) - return g -end - -# Forward: multi_src_propagate redirects -function JUDI.multi_src_propagate(J::judiExtendedJacobian{T, :born, O}, - dm::PhysicalParameter{T}) where {T, O} - return JUDI.multi_src_propagate(J, vec(dm)) -end - -function JUDI.multi_src_propagate(J::judiExtendedJacobian{T, :born, O}, - dm::Base.ReshapedArray{T}) where {T, O} - return JUDI.multi_src_propagate(J, vec(collect(dm))) -end - - -function remove_padding_cig(gradient::AbstractArray{DT}, nb::NTuple{Nd, NTuple{2, Int64}}; true_adjoint::Bool=false) where {DT, Nd} - no = ndims(gradient) - length(nb) - N = size(gradient)[no+1:end] - hd = tuple([Colon() for _=1:no]...) - if true_adjoint - for (dim, (nbl, nbr)) in enumerate(nb) - diml = dim+no - selectdim(gradient, diml, nbl+1) .+= dropdims(sum(selectdim(gradient, diml, 1:nbl), dims=diml), dims=diml) - selectdim(gradient, diml, N[dim]-nbr) .+= dropdims(sum(selectdim(gradient, diml, N[dim]-nbr+1:N[dim]), dims=diml), dims=diml) - end - end - out = gradient[hd..., [nbl+1:nn-nbr for ((nbl, nbr), nn) in zip(nb, N)]...] - return out -end diff --git a/src/judiagent/rag/imagegather/src/surface_gather.jl b/src/judiagent/rag/imagegather/src/surface_gather.jl deleted file mode 100644 index 6cbf2b1..0000000 --- a/src/judiagent/rag/imagegather/src/surface_gather.jl +++ /dev/null @@ -1,99 +0,0 @@ -import JUDI: AbstractModel - -export surface_gather, double_rtm_cig - -""" - surface_gather(model, q, data; offsets=nothing, options=Options()) - -Compute the surface offset gathers volume (nx (X ny) X nz X no) for via the double rtm method whith `no` offsets. - - -Parameters -* `model`: JUDI Model structure. -* `q`: Source, judiVector. -* `data`: Obeserved data, judiVector. -* `offsets`: List of offsets to compute the gather at. Optional (defaults to 0:10*model.d:model.extent) -* `options`: JUDI Options structure. -""" -function surface_gather(model::AbstractModel, q::judiVector, data::judiVector; offsets=nothing, options=Options()) - isnothing(offsets) && (offsets = 0f0:10*model.d[1]:(model.n[1]-1)*model.d[1]) - offsets = collect(offsets) - pool = JUDI._worker_pool() - # Distribute source - arg_func = i -> (model, q[i], data[i], offsets, options[i]) - # Distribute source - results = JUDI.run_and_reduce(double_rtm_cig, pool, q.nsrc, arg_func) - return results -end - -""" - double_rtm_cig(model, q, data, offsets, options) - -Compute the single shot contribution to the surface offset gather via double rtm. This single source contribution consists of the following steps: - -1. Mute direct arrival in the data. -2. Compute standard RTM ``R``. -3. Compute the offset RTM ``R_o`` for the the weighted data where each trace is weighted by its offset `(rec_x - src_x)`. -4. Compute the envelope ``R_e = \\mathcal{E}(R)`` and ``R_{oe} = \\mathcal{E}(R_o)``. -5. Compute the offset map ``\\frac{R_e \\odot R_{oe}}{R_e \\odot R_e + \\epsilon}``. -6. Apply illumination correction and laplace filter ``R_l = \\mathcal{D} \\Delta R``. -7. Compute each offset contribution ``\\mathcal{I}[:, h] = R_l \\odot \\delta[ha - h]_{tol}`` [`delta_h`](@ref). -8. Return ``\\mathcal{I}``. - -""" -function double_rtm_cig(model_full, q::judiVector, data::judiVector, offs, options) - # Load full geometry for out-of-core geometry containers - data.geometry = Geometry(data.geometry) - q.geometry = Geometry(q.geometry) - - # Limit model to area with sources/receivers - if options.limit_m == true - model = deepcopy(model_full) - model, _ = limit_model_to_receiver_area(q.geometry, data.geometry, model, options.buffer_size) - else - model = model_full - end - - # Set up Python model - modelPy = devito_model(model, options) - dtComp = get_dt(model; dt=options.dt_comp) - - # Extrapolate input data to computational grid - qIn = time_resample(make_input(q), q.geometry, dtComp)[1] - res = time_resample(make_input(data), data.geometry, dtComp)[1] - - # Set up coordinates - src_coords = setup_grid(q.geometry, model.n) # shifts source coordinates by origin - rec_coords = setup_grid(data.geometry, model.n) # shifts rec coordinates by origin - - # Src-rec offsets - scale = 5f3 - off_r = abs.(data.geometry.xloc[1] .- q.geometry.xloc[1]) .+ scale - - # mute - mute!(res, off_r .- scale; dt=dtComp/1f3, t0=.25) - res_o = res .* off_r' - # Double rtm - - rtm, rtmo, illum = JUDI.pylock() do - pycall(impl."double_rtm", Tuple{PyArray, PyArray, PyArray}, - modelPy, qIn, src_coords, res, res_o, rec_coords, space_order=options.space_order) - end - rtm = remove_padding(rtm, modelPy.padsizes) - rtmo = remove_padding(rtmo, modelPy.padsizes) - illum = remove_padding(illum, modelPy.padsizes) - - # offset map - h_map = offset_map(rtm, rtmo; scale=scale) - - rtm = laplacian(rtm) - rtm[illum .> 0] ./= illum[illum .> 0] - - soffs = zeros(Float32, model.n..., length(offs)) - - for (i, h) in enumerate(offs) - soffs[:, :, i] .+= rtm .* delta_h(h_map, h, 2*diff(offs)[1]) - end - GC.gc() - return soffs -end diff --git a/src/judiagent/rag/imagegather/src/utils.jl b/src/judiagent/rag/imagegather/src/utils.jl deleted file mode 100644 index e44e345..0000000 --- a/src/judiagent/rag/imagegather/src/utils.jl +++ /dev/null @@ -1,100 +0,0 @@ -export mv_avg_2d, delta_h, envelope, mute, mute!, laplacian, offset_map - -""" - mv_avg_2d(x; k=5) - -2D moving average with a square window of width k -""" -function mv_avg_2d(x::AbstractArray{T, 2}; k=5) where T - out = 1f0 * x - nx, ny = size(x) - kl, kr = k÷2 + 1, k÷2 - for i=kl:nx-kr, j=kl:ny-kr - out[i, j] = sum(x[i+k, j+l] for k=-kr:kr, l=-kr:kr)/k^2 - end - out -end - - -""" - envelope(x) - -Envelope of a vector or a 2D matrix. The envelope over the first dimension is taken for a 2D matrix (see DSP `hilbert`) -""" -envelope(x::AbstractArray{T, 1}) where T = abs.(hilbert(x)) - - -""" - envelope(x) - -Envelope of a vector or a 1D vector (see DSP `hilbert`) - -""" -envelope(x::AbstractArray{T, 2}) where T = abs.(hilbert(x)) - - -""" - delta_h(ha, h, tol) - -Compute the binary mask where `ha` is within `tol` of `h`. -""" -delta_h(ha::AbstractArray{T, 2}, h::Number, tol::Number) where T = Float32.(abs.(h .- ha) .<= tol) - - -""" - mute!(shot, offsets;vp=1500, t0=1/10, dt=0.004) - -In place direct wave muting of a shot record with water sound speed `vp`, time sampling `dt` and firing time `t0`. -""" -function mute!(shot::AbstractArray{Ts, 2}, offsets::Vector{To}; vp=1500, t0=1/10, dt=.004) where {To, Ts} - length(offsets) == size(shot, 2) || throw(DimensionMismatch("Number of offsets has to match the number of traces")) - inds = trunc.(Integer, (offsets ./ vp .+ t0) ./ dt) - inds = min.(max.(1, inds), size(shot, 1)) - for (rx, i) = enumerate(inds) - shot[1:i, rx] .= 0f0 - end -end - - -""" - mute(shot, offsets;vp=1500, t0=1/10, dt=0.004) - -Direct wave muting of a shot record with water sound speed `vp`, time sampling `dt` and firing time `t0`. -""" -function mute(shot::AbstractArray{Ts, 2}, offsets::Vector{To}; vp=1500, t0=1/10, dt=.004) where {To, Ts} - out = Ts(1) .* shot - mute!(out, offsets; vp=vp, t0=t0, dt=dt) - out -end - - -""" - laplacian(image; hx=1, hy=1) - -2D laplacian of an image with grid spacings (hx, hy) -""" -function laplacian(image::AbstractArray{T, 2}; hx=1, hy=1) where T - scale = 1/(hx*hy) - out = 1 .* image - @views begin - out[2:end-1, 2:end-1] .= -4 .* image[2:end-1, 2:end-1] - out[2:end-1, 2:end-1] .+= image[1:end-2, 2:end-1] + image[2:end-1, 1:end-2] - out[2:end-1, 2:end-1] .+= image[3:end, 2:end-1] + image[2:end-1, 3:end] - end - return scale .* out -end - - -""" - offset_map(rtm, rtmo; scale=0) - -Return the regularized least-square division of rtm and rtmo. The regularization consists of the envelope and moving average -followed by the least-square division [`surface_gather`](@ref) -""" -function offset_map(rtm::AbstractArray{T, 2}, rtmo::AbstractArray{T, 2}; scale=0) where T - rtmn = mv_avg_2d(envelope(rtm)) - rtmo = mv_avg_2d(envelope(rtmo)) - - offset_map = rtmn .* rtmo ./ (rtmn .* rtmn .+ eps(Float32)) .- scale - return offset_map -end diff --git a/src/judiagent/rag/imagegather/test/runtests.jl b/src/judiagent/rag/imagegather/test/runtests.jl deleted file mode 100644 index 08fad29..0000000 --- a/src/judiagent/rag/imagegather/test/runtests.jl +++ /dev/null @@ -1,79 +0,0 @@ -using ImageGather, Test - -using JUDI, LinearAlgebra - -# Set up model structure -n = (301, 151) # (x,y,z) or (x,z) -d = (10., 10.) -o = (0., 0.) - -# Velocity [km/s] -v = 1.5f0 .* ones(Float32,n) -v[:, 76:end] .= 2.5f0 -v0 = 1.5f0 .* ones(Float32,n) -# Slowness squared [s^2/km^2] -m = (1f0 ./ v).^2 -m0 = (1f0 ./ v0).^2 - -# Setup info and model structure -nsrc = 1 # number of sources -model = Model(n, d, o, m; nb=40) -model0 = Model(n, d, o, m0; nb=40) - -dm = model.m - model0.m - -# Set up receiver geometry -nxrec = 151 -xrec = range(0f0, stop=(n[1] -1)*d[1], length=nxrec) -yrec = 0f0 -zrec = range(20f0, stop=20f0, length=nxrec) - -# receiver sampling and recording time -timeD = 2000f0 # receiver recording time [ms] -dtD = 4f0 # receiver sampling interval [ms] - -# Set up receiver structure -recGeometry = Geometry(xrec, yrec, zrec; dt=dtD, t=timeD, nsrc=nsrc) -# Set up source geometry (cell array with source locations for each shot) -xsrc = 1500f0 -ysrc = 0f0 -zsrc = 20f0 - -# Set up source structure -srcGeometry = Geometry(xsrc, ysrc, zsrc; dt=dtD, t=timeD) -# setup wavelet -f0 = 0.015f0 # kHz -wavelet = ricker_wavelet(timeD, dtD, f0) -q = diff(judiVector(srcGeometry, wavelet)) - -################################################################################################### -opt = Options() -# Setup operators -F = judiModeling(model, srcGeometry, recGeometry; options=opt) -J0 = judiJacobian(F(model0), q) -# Nonlinear modeling -dD = J0*dm -rtm = J0'*dD - -# Common surface offset image gather -offsets = -40f0:model.d[1]:40f0 -nh = length(offsets) - -J = judiExtendedJacobian(F(model0), q, offsets) - -ssodm = J'*dD -@test size(ssodm, 1) == nh - -ssor = zeros(Float32, size(ssodm)...) -for h=1:size(ssor, 1) - ssor[h, :, :] .= dm.data -end - -dDe = J*ssor -# @show norm(dDe - dD), norm(ssor[:] - dm[:]) -a, b = dot(dD, dDe), dot(ssodm[:], ssor[:]) - -@test (a-b)/(a+b) ≈ 0 atol=sqrt(eps(1f0)) rtol=0 - -# Make sure zero offset is the rtm, remove the sumpadding -@test norm(rtm.data - ssodm[div(nh, 2)+1, :, :])/norm(rtm) ≈ 0f0 atol=1f-5 rtol=0 \ No newline at end of file diff --git a/tests/unit_tests/test_imagegather_rag.py b/tests/unit_tests/test_imagegather_rag.py index 132b76a..ec48ecb 100644 --- a/tests/unit_tests/test_imagegather_rag.py +++ b/tests/unit_tests/test_imagegather_rag.py @@ -8,18 +8,23 @@ import os import re +from dataclasses import replace from pathlib import Path -from judiagent.rag.catalog import RAG_CATALOG from judiagent.rag.cache import load_chunked_documents +from judiagent.rag.catalog import RAG_CATALOG, CorpusSpec from judiagent.settings import PROJECT_ROOT from judiagent.tools import search_imagegather_examples from judiagent.tools.retrieve import search_codebase - IMAGEGATHER_EXAMPLE_FILES = ("layers_cig.jl", "layers_sscig.jl", "offset_map.jl") +def _spec_with_tmp_cache(spec: CorpusSpec, tmp_path: Path, filename: str) -> CorpusSpec: + """Return a copy of ``spec`` whose pickle cache lives under ``tmp_path``.""" + return replace(spec, cache_file=str(tmp_path / filename)) + + # --------------------------------------------------------------------------- # Catalog wiring # --------------------------------------------------------------------------- @@ -118,8 +123,12 @@ def test_imagegather_example_files_carry_judi_style_headings(): assert len(headings) >= 3, f"{name}: only {len(headings)} headings (want >= 3)" -def test_imagegather_examples_chunk_into_named_sections(): - spec = RAG_CATALOG["imagegather"]["examples"] +def test_imagegather_examples_chunk_into_named_sections(tmp_path): + spec = _spec_with_tmp_cache( + RAG_CATALOG["imagegather"]["examples"], + tmp_path, + "loaded_imagegather_examples.pkl", + ) chunks = load_chunked_documents(spec) # 3 example files, each annotated with multiple `# #` sections. @@ -136,8 +145,12 @@ def test_imagegather_examples_chunk_into_named_sections(): assert name in chunked_sources, f"{name} contributed no chunks" -def test_imagegather_docs_chunk_non_empty(): - spec = RAG_CATALOG["imagegather"]["docs"] +def test_imagegather_docs_chunk_non_empty(tmp_path): + spec = _spec_with_tmp_cache( + RAG_CATALOG["imagegather"]["docs"], + tmp_path, + "loaded_imagegather_docs.pkl", + ) chunks = load_chunked_documents(spec) assert chunks, "imagegather docs produced zero chunks" From 7fe499faca4d738ca91f912b683ebb0ef7fa69af Mon Sep 17 00:00:00 2001 From: fherrmann9 Date: Wed, 10 Jun 2026 22:22:30 -0400 Subject: [PATCH 4/4] Drop bogus 'Programming Language :: Julia' PyPI classifier MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit This classifier is not registered on PyPI's trove list, so hatchling's metadata.validate_fields() raises ValueError during build_editable, which in turn makes `uv sync` / `uv run` fail with: Failed to build judiagent ... Unknown classifier in field `project.classifiers`: Programming Language :: Julia Removing the single offending line unblocks editable installs. The "Julia" keyword on line 13 is untouched — project.keywords is free-form, only classifiers are validated against the trove list. Co-Authored-By: Claude Opus 4.7 (1M context) --- pyproject.toml | 1 - 1 file changed, 1 deletion(-) diff --git a/pyproject.toml b/pyproject.toml index 3c14761..9311ecf 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -22,7 +22,6 @@ classifiers = [ "License :: OSI Approved :: MIT License", "Programming Language :: Python :: 3", "Programming Language :: Python :: 3.12", - "Programming Language :: Julia", "Topic :: Scientific/Engineering", ] dependencies = [