diff --git a/pdm.lock b/pdm.lock
index 3cc2014..7593c6d 100644
--- a/pdm.lock
+++ b/pdm.lock
@@ -1,14 +1,43 @@
 # This file is @generated by PDM.
 # It is not intended for manual editing.
 
+[metadata]
+groups = ["default", "dev", "docs", "nox", "render", "test"]
+strategy = ["cross_platform"]
+lock_version = "4.5.0"
+content_hash = "sha256:6bf2570dd6b03f0e2e00310104fc547ff2aa31fe59f91d663c958bec06ed476b"
+
+[[metadata.targets]]
+requires_python = ">=3.8.1,<4.0"
+
+[[package]]
+name = "annotated-types"
+version = "0.7.0"
+requires_python = ">=3.8"
+summary = "Reusable constraint types to use with typing.Annotated"
+dependencies = [
+    "typing-extensions>=4.0.0; python_version < \"3.9\"",
+]
+files = [
+    {file = "annotated_types-0.7.0-py3-none-any.whl", hash = "sha256:1f02e8b43a8fbbc3f3e0d4f0f4bfc8131bcb4eebe8849b8e5c773f3a1c582a53"},
+    {file = "annotated_types-0.7.0.tar.gz", hash = "sha256:aff07c09a53a08bc8cfccb9c85b05f1aa9a2a6f23728d790723543408344ce89"},
+]
+
 [[package]]
 name = "anyio"
 version = "3.6.2"
 requires_python = ">=3.6.2"
 summary = "High level compatibility layer for multiple asynchronous event loop implementations"
 dependencies = [
+    "contextvars; python_version < \"3.7\"",
+    "dataclasses; python_version < \"3.7\"",
     "idna>=2.8",
     "sniffio>=1.1",
+    "typing-extensions; python_version < \"3.8\"",
+]
+files = [
+    {file = "anyio-3.6.2-py3-none-any.whl", hash = "sha256:fbbe32bd270d2a2ef3ed1c5d45041250284e31fc0a4df4a5a6071842051a51e3"},
+    {file = "anyio-3.6.2.tar.gz", hash = "sha256:25ea0d673ae30af41a0c442f81cf3b38c7e79fdc7b60335a4c14e05eb0947421"},
 ]
 
 [[package]]
@@ -16,6 +45,14 @@ name = "argcomplete"
 version = "2.1.2"
 requires_python = ">=3.6"
 summary = "Bash tab completion for argparse"
+dependencies = [
+    "importlib-metadata<6,>=0.23; python_version == \"3.6\"",
+    "importlib-metadata<6,>=0.23; python_version == \"3.7\"",
+]
+files = [
+    {file = "argcomplete-2.1.2-py3-none-any.whl", hash = "sha256:4ba9cdaa28c361d251edce884cd50b4b1215d65cdc881bd204426cdde9f52731"},
+    {file = "argcomplete-2.1.2.tar.gz", hash = "sha256:fc82ef070c607b1559b5c720529d63b54d9dcf2dcfc2632b10e6372314a34457"},
+]
 
 [[package]]
 name = "babel"
@@ -25,19 +62,47 @@ summary = "Internationalization utilities"
 dependencies = [
     "pytz>=2015.7; python_version < \"3.9\"",
 ]
+files = [
+    {file = "Babel-2.12.1-py3-none-any.whl", hash = "sha256:b4246fb7677d3b98f501a39d43396d3cafdc8eadb045f4a31be01863f655c610"},
+    {file = "Babel-2.12.1.tar.gz", hash = "sha256:cc2d99999cd01d44420ae725a21c9e3711b3aadc7976d6147f622d8581963455"},
+]
 
 [[package]]
 name = "bezier"
-version = "2021.2.12"
+version = "2023.7.28"
+requires_python = ">=3.8"
 summary = "Helper for Bézier Curves, Triangles, and Higher Order Objects"
 dependencies = [
-    "numpy>=1.20.1",
+    "numpy>=1.24.2",
+]
+files = [
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 name = "black"
-version = "23.3.0"
-requires_python = ">=3.7"
+version = "24.8.0"
+requires_python = ">=3.8"
 summary = "The uncompromising code formatter."
 dependencies = [
     "click>=8.0.0",
@@ -46,7 +111,31 @@ dependencies = [
     "pathspec>=0.9.0",
     "platformdirs>=2",
     "tomli>=1.1.0; python_version < \"3.11\"",
-    "typing-extensions>=3.10.0.0; python_version < \"3.10\"",
+    "typing-extensions>=4.0.1; python_version < \"3.11\"",
+]
+files = [
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 [[package]]
@@ -57,12 +146,19 @@ summary = "cffi-based cairo bindings for Python"
 dependencies = [
     "cffi>=1.1.0",
 ]
+files = [
+    {file = "cairocffi-1.5.0.tar.gz", hash = "sha256:d105b49009d9b4970a459e38ff030cb5dfc8c8ee231e867d28f77ee9df44495e"},
+]
 
 [[package]]
 name = "certifi"
 version = "2022.12.7"
 requires_python = ">=3.6"
 summary = "Python package for providing Mozilla's CA Bundle."
+files = [
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+]
 
 [[package]]
 name = "cffi"
@@ -71,12 +167,119 @@ summary = "Foreign Function Interface for Python calling C code."
 dependencies = [
     "pycparser",
 ]
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 [[package]]
 name = "click"
@@ -85,6 +288,11 @@ requires_python = ">=3.7"
 summary = "Composable command line interface toolkit"
 dependencies = [
     "colorama; platform_system == \"Windows\"",
+    "importlib-metadata; python_version < \"3.8\"",
+]
+files = [
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+    {file = "click-8.1.3.tar.gz", hash = "sha256:7682dc8afb30297001674575ea00d1814d808d6a36af415a82bd481d37ba7b8e"},
 ]
 
 [[package]]
@@ -92,6 +300,10 @@ name = "colorama"
 version = "0.4.6"
 requires_python = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7"
 summary = "Cross-platform colored terminal text."
+files = [
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+]
 
 [[package]]
 name = "colorlog"
@@ -101,12 +313,60 @@ summary = "Add colours to the output of Python's logging module."
 dependencies = [
     "colorama; sys_platform == \"win32\"",
 ]
+files = [
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+]
 
 [[package]]
 name = "coverage"
 version = "7.2.2"
 requires_python = ">=3.7"
 summary = "Code coverage measurement for Python"
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-    "pydantic!=1.7,!=1.7.1,!=1.7.2,!=1.7.3,!=1.8,!=1.8.1,<2.0.0,>=1.6.2",
-    "starlette<0.27.0,>=0.26.1",
+    "pydantic!=1.8,!=1.8.1,!=2.0.0,!=2.0.1,!=2.1.0,<3.0.0,>=1.7.4",
+    "starlette<0.39.0,>=0.37.2",
+    "typing-extensions>=4.8.0",
+]
+files = [
+    {file = "fastapi-0.115.0-py3-none-any.whl", hash = "sha256:17ea427674467486e997206a5ab25760f6b09e069f099b96f5b55a32fb6f1631"},
+    {file = "fastapi-0.115.0.tar.gz", hash = "sha256:f93b4ca3529a8ebc6fc3fcf710e5efa8de3df9b41570958abf1d97d843138004"},
 ]
 
 [[package]]
@@ -157,6 +482,10 @@ name = "filelock"
 version = "3.10.7"
 requires_python = ">=3.7"
 summary = "A platform independent file lock."
+files = [
+    {file = "filelock-3.10.7-py3-none-any.whl", hash = "sha256:bde48477b15fde2c7e5a0713cbe72721cb5a5ad32ee0b8f419907960b9d75536"},
+    {file = "filelock-3.10.7.tar.gz", hash = "sha256:892be14aa8efc01673b5ed6589dbccb95f9a8596f0507e232626155495c18105"},
+]
 
 [[package]]
 name = "ghp-import"
@@ -165,6 +494,10 @@ summary = "Copy your docs directly to the gh-pages branch."
 dependencies = [
     "python-dateutil>=2.8.1",
 ]
+files = [
+    {file = "ghp-import-2.1.0.tar.gz", hash = "sha256:9c535c4c61193c2df8871222567d7fd7e5014d835f97dc7b7439069e2413d343"},
+    {file = "ghp_import-2.1.0-py3-none-any.whl", hash = "sha256:8337dd7b50877f163d4c0289bc1f1c7f127550241988d568c1db512c4324a619"},
+]
 
 [[package]]
 name = "gitdb"
@@ -174,6 +507,10 @@ summary = "Git Object Database"
 dependencies = [
     "smmap<6,>=3.0.1",
 ]
+files = [
+    {file = "gitdb-4.0.10-py3-none-any.whl", hash = "sha256:c286cf298426064079ed96a9e4a9d39e7f3e9bf15ba60701e95f5492f28415c7"},
+    {file = "gitdb-4.0.10.tar.gz", hash = "sha256:6eb990b69df4e15bad899ea868dc46572c3f75339735663b81de79b06f17eb9a"},
+]
 
 [[package]]
 name = "gitpython"
@@ -182,6 +519,11 @@ requires_python = ">=3.7"
 summary = "GitPython is a Python library used to interact with Git repositories"
 dependencies = [
     "gitdb<5,>=4.0.1",
+    "typing-extensions>=3.7.4.3; python_version < \"3.8\"",
+]
+files = [
+    {file = "GitPython-3.1.31-py3-none-any.whl", hash = "sha256:f04893614f6aa713a60cbbe1e6a97403ef633103cdd0ef5eb6efe0deb98dbe8d"},
+    {file = "GitPython-3.1.31.tar.gz", hash = "sha256:8ce3bcf69adfdf7c7d503e78fd3b1c492af782d58893b650adb2ac8912ddd573"},
 ]
 
 [[package]]
@@ -192,6 +534,9 @@ dependencies = [
     "cairocffi",
     "numpy",
 ]
+files = [
+    {file = "gizeh-0.1.11.tar.gz", hash = "sha256:a12422d4d16e8b3dbdf2d51cb6633855c460404ace34c6509db30f7e3d55177b"},
+]
 
 [[package]]
 name = "griffe"
@@ -199,44 +544,67 @@ version = "0.26.0"
 requires_python = ">=3.7"
 summary = "Signatures for entire Python programs. Extract the structure, the frame, the skeleton of your project, to generate API documentation or find breaking changes in your API."
 dependencies = [
+    "cached-property; python_version < \"3.8\"",
     "colorama>=0.4",
 ]
+files = [
+    {file = "griffe-0.26.0-py3-none-any.whl", hash = "sha256:38f3f6bbe834501cc199a07b7b7e0e2550aaf19a9d1ee27acf879027e47c9b9e"},
+    {file = "griffe-0.26.0.tar.gz", hash = "sha256:08675ffe8c17139e7769e950dd21f8e98a2e76205cbbd2911d5dec26d2cbf1be"},
+]
 
 [[package]]
 name = "h11"
 version = "0.14.0"
 requires_python = ">=3.7"
 summary = "A pure-Python, bring-your-own-I/O implementation of HTTP/1.1"
+dependencies = [
+    "typing-extensions; python_version < \"3.8\"",
+]
+files = [
+    {file = "h11-0.14.0-py3-none-any.whl", hash = "sha256:e3fe4ac4b851c468cc8363d500db52c2ead036020723024a109d37346efaa761"},
+    {file = "h11-0.14.0.tar.gz", hash = "sha256:8f19fbbe99e72420ff35c00b27a34cb9937e902a8b810e2c88300c6f0a3b699d"},
+]
 
 [[package]]
 name = "httpcore"
-version = "0.16.3"
-requires_python = ">=3.7"
+version = "1.0.5"
+requires_python = ">=3.8"
 summary = "A minimal low-level HTTP client."
 dependencies = [
-    "anyio<5.0,>=3.0",
     "certifi",
     "h11<0.15,>=0.13",
-    "sniffio==1.*",
+]
+files = [
+    {file = "httpcore-1.0.5-py3-none-any.whl", hash = "sha256:421f18bac248b25d310f3cacd198d55b8e6125c107797b609ff9b7a6ba7991b5"},
+    {file = "httpcore-1.0.5.tar.gz", hash = "sha256:34a38e2f9291467ee3b44e89dd52615370e152954ba21721378a87b2960f7a61"},
 ]
 
 [[package]]
 name = "httpx"
-version = "0.24.0"
-requires_python = ">=3.7"
+version = "0.27.2"
+requires_python = ">=3.8"
 summary = "The next generation HTTP client."
 dependencies = [
+    "anyio",
     "certifi",
-    "httpcore<0.18.0,>=0.15.0",
+    "httpcore==1.*",
     "idna",
     "sniffio",
 ]
+files = [
+    {file = "httpx-0.27.2-py3-none-any.whl", hash = "sha256:7bb2708e112d8fdd7829cd4243970f0c223274051cb35ee80c03301ee29a3df0"},
+    {file = "httpx-0.27.2.tar.gz", hash = "sha256:f7c2be1d2f3c3c3160d441802406b206c2b76f5947b11115e6df10c6c65e66c2"},
+]
 
 [[package]]
 name = "idna"
 version = "3.4"
 requires_python = ">=3.5"
 summary = "Internationalized Domain Names in Applications (IDNA)"
+files = [
+    {file = "idna-3.4-py3-none-any.whl", hash = "sha256:90b77e79eaa3eba6de819a0c442c0b4ceefc341a7a2ab77d7562bf49f425c5c2"},
+    {file = "idna-3.4.tar.gz", hash = "sha256:814f528e8dead7d329833b91c5faa87d60bf71824cd12a7530b5526063d02cb4"},
+]
 
 [[package]]
 name = "imageio"
@@ -247,12 +615,24 @@ dependencies = [
     "numpy",
     "pillow>=8.3.2",
 ]
+files = [
+    {file = "imageio-2.27.0-py3-none-any.whl", hash = "sha256:24c6ad7d000e64eacc2861c402b6fb128f370cb0a6623cf796d83bca0d0d14d3"},
+    {file = "imageio-2.27.0.tar.gz", hash = "sha256:ee269c957785ef0373cc7a7323185956d83ec05e6cdf20b42a03ba7b74ac58c6"},
+]
 
 [[package]]
 name = "imageio-ffmpeg"
 version = "0.4.8"
 requires_python = ">=3.5"
 summary = "FFMPEG wrapper for Python"
+files = [
+    {file = "imageio-ffmpeg-0.4.8.tar.gz", hash = "sha256:fdaa05ad10fe070b7fa8e5f615cb0d28f3b9b791d00af6d2a11e694158d10aa9"},
+    {file = "imageio_ffmpeg-0.4.8-py3-none-macosx_10_9_intel.macosx_10_9_x86_64.macosx_10_10_intel.macosx_10_10_x86_64.whl", hash = "sha256:dba439a303d65061aef17d2ee9324ecfa9c6b4752bd0953b309fdbb79b38451e"},
+    {file = "imageio_ffmpeg-0.4.8-py3-none-manylinux2010_x86_64.whl", hash = "sha256:7caa9ce9fc0d7e2f3160ce8cb70a115e5211e0f048e5c1509163d8f89d1080df"},
+    {file = "imageio_ffmpeg-0.4.8-py3-none-manylinux2014_aarch64.whl", hash = "sha256:dd3ef9835df91570a1cbd9e36dfbc7d228fca42dbb11636e20df75d719de2949"},
+    {file = "imageio_ffmpeg-0.4.8-py3-none-win32.whl", hash = "sha256:0e2688120b3bdb367897450d07c1b1300e96a0bace03ba7de2eb8d738237ea9a"},
+    {file = "imageio_ffmpeg-0.4.8-py3-none-win_amd64.whl", hash = "sha256:120d70e6448617cad6213e47dee3a3310117c230f532dd614ed3059a78acf13a"},
+]
 
 [[package]]
 name = "importlib-metadata"
@@ -260,14 +640,36 @@ version = "6.1.0"
 requires_python = ">=3.7"
 summary = "Read metadata from Python packages"
 dependencies = [
+    "typing-extensions>=3.6.4; python_version < \"3.8\"",
     "zipp>=0.5",
 ]
+files = [
+    {file = "importlib_metadata-6.1.0-py3-none-any.whl", hash = "sha256:ff80f3b5394912eb1b108fcfd444dc78b7f1f3e16b16188054bd01cb9cb86f09"},
+    {file = "importlib_metadata-6.1.0.tar.gz", hash = "sha256:43ce9281e097583d758c2c708c4376371261a02c34682491a8e98352365aad20"},
+]
+
+[[package]]
+name = "importlib-resources"
+version = "6.4.5"
+requires_python = ">=3.8"
+summary = "Read resources from Python packages"
+dependencies = [
+    "zipp>=3.1.0; python_version < \"3.10\"",
+]
+files = [
+    {file = "importlib_resources-6.4.5-py3-none-any.whl", hash = "sha256:ac29d5f956f01d5e4bb63102a5a19957f1b9175e45649977264a1416783bb717"},
+    {file = "importlib_resources-6.4.5.tar.gz", hash = "sha256:980862a1d16c9e147a59603677fa2aa5fd82b87f223b6cb870695bcfce830065"},
+]
 
 [[package]]
 name = "iniconfig"
 version = "2.0.0"
 requires_python = ">=3.7"
 summary = "brain-dead simple config-ini parsing"
+files = [
+    {file = "iniconfig-2.0.0-py3-none-any.whl", hash = "sha256:b6a85871a79d2e3b22d2d1b94ac2824226a63c6b741c88f7ae975f18b6778374"},
+    {file = "iniconfig-2.0.0.tar.gz", hash = "sha256:2d91e135bf72d31a410b17c16da610a82cb55f6b0477d1a902134b24a455b8b3"},
+]
 
 [[package]]
 name = "jinja2"
@@ -277,72 +679,163 @@ summary = "A very fast and expressive template engine."
 dependencies = [
     "MarkupSafe>=2.0",
 ]
+files = [
+    {file = "Jinja2-3.1.2-py3-none-any.whl", hash = "sha256:6088930bfe239f0e6710546ab9c19c9ef35e29792895fed6e6e31a023a182a61"},
+    {file = "Jinja2-3.1.2.tar.gz", hash = "sha256:31351a702a408a9e7595a8fc6150fc3f43bb6bf7e319770cbc0db9df9437e852"},
+]
 
 [[package]]
 name = "markdown"
-version = "3.3.7"
-requires_python = ">=3.6"
-summary = "Python implementation of Markdown."
+version = "3.7"
+requires_python = ">=3.8"
+summary = "Python implementation of John Gruber's Markdown."
 dependencies = [
     "importlib-metadata>=4.4; python_version < \"3.10\"",
 ]
+files = [
+    {file = "Markdown-3.7-py3-none-any.whl", hash = "sha256:7eb6df5690b81a1d7942992c97fad2938e956e79df20cbc6186e9c3a77b1c803"},
+    {file = "markdown-3.7.tar.gz", hash = "sha256:2ae2471477cfd02dbbf038d5d9bc226d40def84b4fe2986e49b59b6b472bbed2"},
+]
 
 [[package]]
 name = "markupsafe"
 version = "2.1.2"
 requires_python = ">=3.7"
 summary = "Safely add untrusted strings to HTML/XML markup."
+files = [
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 name = "mergedeep"
 version = "1.3.4"
 requires_python = ">=3.6"
 summary = "A deep merge function for 🐍."
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+version = "2.1.3"
 summary = "Manage multiple versions of your MkDocs-powered documentation"
 dependencies = [
-    "jinja2",
+    "importlib-metadata",
+    "importlib-resources",
+    "jinja2>=2.7",
     "mkdocs>=1.0",
+    "pyparsing>=3.0",
+    "pyyaml-env-tag",
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 name = "mkdocs"
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-requires_python = ">=3.7"
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+requires_python = ">=3.8"
 summary = "Project documentation with Markdown."
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     "colorama>=0.4; platform_system == \"Windows\"",
     "ghp-import>=1.0",
-    "importlib-metadata>=4.3; python_version < \"3.10\"",
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     "jinja2>=2.11.1",
-    "markdown<3.4,>=3.2.1",
+    "markdown>=3.3.6",
+    "markupsafe>=2.0.1",
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+    "mkdocs-get-deps>=0.2.0",
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+    "pathspec>=0.11.1",
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 name = "mkdocs-autorefs"
-version = "0.4.1"
-requires_python = ">=3.7"
+version = "1.2.0"
+requires_python = ">=3.8"
 summary = "Automatically link across pages in MkDocs."
 dependencies = [
     "Markdown>=3.3",
+    "markupsafe>=2.0.1",
     "mkdocs>=1.1",
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+]
+
+[[package]]
+name = "mkdocs-get-deps"
+version = "0.2.0"
+requires_python = ">=3.8"
+summary = "MkDocs extension that lists all dependencies according to a mkdocs.yml file"
+dependencies = [
+    "importlib-metadata>=4.3; python_version < \"3.10\"",
+    "mergedeep>=1.3.4",
+    "platformdirs>=2.2.0",
+    "pyyaml>=5.1",
+]
+files = [
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+]
 
 [[package]]
 name = "mkdocs-git-revision-date-localized-plugin"
-version = "1.2.0"
-requires_python = ">=3.6"
+version = "1.2.9"
+requires_python = ">=3.8"
 summary = "Mkdocs plugin that enables displaying the localized date of the last git modification of a markdown file."
 dependencies = [
     "GitPython",
@@ -350,44 +843,65 @@ dependencies = [
     "mkdocs>=1.0",
     "pytz",
 ]
+files = [
+    {file = "mkdocs_git_revision_date_localized_plugin-1.2.9-py3-none-any.whl", hash = "sha256:dea5c8067c23df30275702a1708885500fadf0abfb595b60e698bffc79c7a423"},
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+]
 
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 name = "mkdocs-material"
-version = "9.1.6"
-requires_python = ">=3.7"
+version = "9.5.35"
+requires_python = ">=3.8"
 summary = "Documentation that simply works"
 dependencies = [
-    "colorama>=0.4",
-    "jinja2>=3.0",
-    "markdown>=3.2",
-    "mkdocs-material-extensions>=1.1",
-    "mkdocs>=1.4.2",
-    "pygments>=2.14",
-    "pymdown-extensions>=9.9.1",
-    "regex>=2022.4.24",
-    "requests>=2.26",
+    "babel~=2.10",
+    "colorama~=0.4",
+    "jinja2~=3.0",
+    "markdown~=3.2",
+    "mkdocs-material-extensions~=1.3",
+    "mkdocs~=1.6",
+    "paginate~=0.5",
+    "pygments~=2.16",
+    "pymdown-extensions~=10.2",
+    "regex>=2022.4",
+    "requests~=2.26",
+]
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 ]
 
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-version = "1.1.1"
-requires_python = ">=3.7"
+version = "1.3.1"
+requires_python = ">=3.8"
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+]
 
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-version = "0.21.2"
-requires_python = ">=3.7"
+version = "0.26.1"
+requires_python = ">=3.8"
 summary = "Automatic documentation from sources, for MkDocs."
 dependencies = [
     "Jinja2>=2.11.1",
-    "Markdown>=3.3",
+    "Markdown>=3.6",
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-    "mkdocs-autorefs>=0.3.1",
-    "mkdocs>=1.2",
+    "click>=7.0",
+    "importlib-metadata>=4.6; python_version < \"3.10\"",
+    "mkdocs-autorefs>=1.2",
+    "mkdocs>=1.4",
+    "platformdirs>=2.2",
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+]
 
 [[package]]
 name = "mkdocstrings-python"
@@ -398,16 +912,24 @@ dependencies = [
     "griffe>=0.24",
     "mkdocstrings>=0.20",
 ]
+files = [
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+version = "0.26.1"
 extras = ["python"]
-requires_python = ">=3.7"
+requires_python = ">=3.8"
 summary = "Automatic documentation from sources, for MkDocs."
 dependencies = [
     "mkdocstrings-python>=0.5.2",
-    "mkdocstrings==0.21.2",
+    "mkdocstrings==0.26.1",
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@@ -417,6 +939,7 @@ summary = "Video editing with Python"
 dependencies = [
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     "imageio-ffmpeg>=0.2.0; python_version >= \"3.4\"",
+    "imageio<2.5,>=2.0; python_version < \"3.4\"",
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     "numpy; python_version >= \"2.7\"",
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@@ -424,23 +947,37 @@ dependencies = [
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     "tqdm<5.0,>=4.11.2",
 ]
+files = [
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 requires_python = ">=3.5"
 summary = "Type system extensions for programs checked with the mypy type checker."
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-version = "2022.11.21"
+version = "2024.4.15"
 requires_python = ">=3.7"
 summary = "Flexible test automation."
 dependencies = [
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+    "argcomplete<4.0,>=1.9.4",
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+    "importlib-metadata; python_version < \"3.8\"",
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-    "virtualenv>=14",
+    "tomli>=1; python_version < \"3.11\"",
+    "typing-extensions>=3.7.4; python_version < \"3.8\"",
+    "virtualenv>=20.14.1",
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@@ -448,36 +985,154 @@ name = "numpy"
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 summary = "Fundamental package for array computing in Python"
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@@ -486,70 +1141,215 @@ summary = "Log and progress bar manager for console, notebooks, web..."
 dependencies = [
     "tqdm",
 ]
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 name = "pytest-xdist"
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 dependencies = [
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 [[package]]
@@ -560,17 +1360,55 @@ summary = "Extensions to the standard Python datetime module"
 dependencies = [
     "six>=1.5",
 ]
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diff --git a/pyproject.toml b/pyproject.toml
index 722cc07..4eb706b 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -11,9 +11,9 @@ authors = [
     {name = "Quaternion Media", email = "qm@quaternion.media"}
 ]
 dependencies = [
-    "fastapi~=0.95",
+    "fastapi~=0.115",
     "moviepy~=1.0",
-    "pydantic~=1.10",
+    "pydantic~=2.9",
 ]
 requires-python = ">=3.8.1,<4.0"
 readme = "README.md"
@@ -27,32 +27,32 @@ repository = "https://github.com/quaternionmedia/otto"
 [project.optional-dependencies]
 render = [
     "gizeh~=0.1",
-    "bezier~=2021.2",
-    "tqdm~=4.65",
+    "bezier~=2023.7",
+    "tqdm~=4.66",
 ]
 test = [
-    "pytest~=7.3",
-    "httpx~=0.24",
-    "pytest-cov~=4.0",
-    "pytest-xdist~=3.2",
+    "pytest~=8.3",
+    "httpx~=0.27",
+    "pytest-cov~=5.0",
+    "pytest-xdist~=3.6",
 ]
 docs = [
-    "mkdocs~=1.4",
-    "mkdocs-material~=9.1",
+    "mkdocs~=1.6",
+    "mkdocs-material~=9.5",
     "mkdocs-git-revision-date-localized-plugin~=1.2",
-    "mike~=1.1",
-    "mkdocstrings[python]~=0.21",
-    "setuptools~=67.6",
+    "mike~=2.1",
+    "mkdocstrings[python]~=0.26",
+    "setuptools~=75.1",
 ]
 
 [tool.pdm.dev-dependencies]
 dev = [
-    "uvicorn~=0.21",
-    "black~=23.3",
-    "ruff~=0.0",
+    "uvicorn~=0.30",
+    "black~=24.8",
+    "ruff~=0.6",
 ]
 nox = [
-    "nox~=2022.11",
+    "nox~=2024.4",
 ]