diff --git a/poetry.lock b/poetry.lock
index 329384e..f0e2dd8 100644
--- a/poetry.lock
+++ b/poetry.lock
@@ -1,4 +1,44 @@
-# This file is automatically @generated by Poetry 1.7.0 and should not be changed by hand.
+# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand.
+
+[[package]]
+name = "absl-py"
+version = "2.0.0"
+description = "Abseil Python Common Libraries, see https://github.com/abseil/abseil-py."
+optional = false
+python-versions = ">=3.7"
+files = [
+    {file = "absl-py-2.0.0.tar.gz", hash = "sha256:d9690211c5fcfefcdd1a45470ac2b5c5acd45241c3af71eed96bc5441746c0d5"},
+    {file = "absl_py-2.0.0-py3-none-any.whl", hash = "sha256:9a28abb62774ae4e8edbe2dd4c49ffcd45a6a848952a5eccc6a49f3f0fc1e2f3"},
+]
+
+[[package]]
+name = "appnope"
+version = "0.1.3"
+description = "Disable App Nap on macOS >= 10.9"
+optional = false
+python-versions = "*"
+files = [
+    {file = "appnope-0.1.3-py2.py3-none-any.whl", hash = "sha256:265a455292d0bd8a72453494fa24df5a11eb18373a60c7c0430889f22548605e"},
+    {file = "appnope-0.1.3.tar.gz", hash = "sha256:02bd91c4de869fbb1e1c50aafc4098827a7a54ab2f39d9dcba6c9547ed920e24"},
+]
+
+[[package]]
+name = "asttokens"
+version = "2.4.1"
+description = "Annotate AST trees with source code positions"
+optional = false
+python-versions = "*"
+files = [
+    {file = "asttokens-2.4.1-py2.py3-none-any.whl", hash = "sha256:051ed49c3dcae8913ea7cd08e46a606dba30b79993209636c4875bc1d637bc24"},
+    {file = "asttokens-2.4.1.tar.gz", hash = "sha256:b03869718ba9a6eb027e134bfdf69f38a236d681c83c160d510768af11254ba0"},
+]
+
+[package.dependencies]
+six = ">=1.12.0"
+
+[package.extras]
+astroid = ["astroid (>=1,<2)", "astroid (>=2,<4)"]
+test = ["astroid (>=1,<2)", "astroid (>=2,<4)", "pytest"]
 
 [[package]]
 name = "black"
@@ -46,6 +86,70 @@ d = ["aiohttp (>=3.7.4)", "aiohttp (>=3.7.4,!=3.9.0)"]
 jupyter = ["ipython (>=7.8.0)", "tokenize-rt (>=3.2.0)"]
 uvloop = ["uvloop (>=0.15.2)"]
 
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+version = "1.16.0"
+description = "Foreign Function Interface for Python calling C code."
+optional = false
+python-versions = ">=3.8"
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+
+[package.dependencies]
+pycparser = "*"
+
 [[package]]
 name = "click"
 version = "8.1.7"
@@ -71,6 +175,89 @@ files = [
     {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"},
 ]
 
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+optional = false
+python-versions = ">=3.8"
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+[package.dependencies]
+traitlets = ">=4"
+
+[package.extras]
+test = ["pytest"]
+
+[[package]]
+name = "debugpy"
+version = "1.8.0"
+description = "An implementation of the Debug Adapter Protocol for Python"
+optional = false
+python-versions = ">=3.8"
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+
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 version = "6.1.0"
@@ -106,6 +293,75 @@ tomli = {version = "*", markers = "python_version < \"3.11\""}
 [package.extras]
 develop = ["build", "twine"]
 
+[[package]]
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+traitlets = ">=5.4.0"
+
+[package.extras]
+cov = ["coverage[toml]", "curio", "matplotlib", "pytest-cov", "trio"]
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+pyqt5 = ["pyqt5"]
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+test = ["flaky", "ipyparallel", "pre-commit", "pytest (>=7.0)", "pytest-asyncio", "pytest-cov", "pytest-timeout"]
+
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+description = "IPython: Productive Interactive Computing"
+optional = false
+python-versions = ">=3.10"
+files = [
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+
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+kernel = ["ipykernel"]
+nbconvert = ["nbconvert"]
+nbformat = ["nbformat"]
+notebook = ["ipywidgets", "notebook"]
+parallel = ["ipyparallel"]
+qtconsole = ["qtconsole"]
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+
 [[package]]
 name = "isort"
 version = "5.13.2"
@@ -120,6 +376,81 @@ files = [
 [package.extras]
 colors = ["colorama (>=0.4.6)"]
 
+[[package]]
+name = "jedi"
+version = "0.19.1"
+description = "An autocompletion tool for Python that can be used for text editors."
+optional = false
+python-versions = ">=3.6"
+files = [
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+python-versions = ">=3.5"
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+tests = ["pytest (>=4.6)"]
+
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 name = "mypy"
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@@ -189,6 +537,35 @@ files = [
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+test = ["pytest (>=7.2)", "pytest-cov (>=4.0)"]
+
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 name = "nodeenv"
 version = "1.8.0"
@@ -248,6 +625,46 @@ files = [
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+
 [[package]]
 name = "pastel"
 version = "0.2.1"
@@ -281,6 +792,20 @@ files = [
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 [[package]]
 name = "platformdirs"
 version = "4.1.0"
@@ -314,6 +839,93 @@ tomli = ">=1.2.2"
 [package.extras]
 poetry-plugin = ["poetry (>=1.0,<2.0)"]
 
+[[package]]
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+[package.dependencies]
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+
+[[package]]
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+description = ""
+optional = false
+python-versions = ">=3.8"
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+
+[[package]]
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+optional = false
+python-versions = "*"
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+]
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+[package.extras]
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+
 [[package]]
 name = "pycodestyle"
 version = "2.11.1"
@@ -325,6 +937,17 @@ files = [
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+[[package]]
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+description = "C parser in Python"
+optional = false
+python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
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+]
+
 [[package]]
 name = "pyflakes"
 version = "3.1.0"
@@ -336,6 +959,21 @@ files = [
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 ]
 
+[[package]]
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+description = "Pygments is a syntax highlighting package written in Python."
+optional = false
+python-versions = ">=3.7"
+files = [
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+
+[package.extras]
+plugins = ["importlib-metadata"]
+windows-terminal = ["colorama (>=0.4.6)"]
+
 [[package]]
 name = "pyright"
 version = "1.1.341"
@@ -354,6 +992,159 @@ nodeenv = ">=1.6.0"
 all = ["twine (>=3.4.1)"]
 dev = ["twine (>=3.4.1)"]
 
+[[package]]
+name = "python-dateutil"
+version = "2.8.2"
+description = "Extensions to the standard Python datetime module"
+optional = false
+python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
+files = [
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+
+[package.dependencies]
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+
+[[package]]
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+description = "World timezone definitions, modern and historical"
+optional = false
+python-versions = "*"
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+name = "pywin32"
+version = "306"
+description = "Python for Window Extensions"
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+python-versions = "*"
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+    {file = "pyzmq-25.1.2-pp38-pypy38_pp73-win_amd64.whl", hash = "sha256:8b14c75979ce932c53b79976a395cb2a8cd3aaf14aef75e8c2cb55a330b9b49d"},
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+    {file = "pyzmq-25.1.2-pp39-pypy39_pp73-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:9a18fff090441a40ffda8a7f4f18f03dc56ae73f148f1832e109f9bffa85df15"},
+    {file = "pyzmq-25.1.2-pp39-pypy39_pp73-manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:99a6b36f95c98839ad98f8c553d8507644c880cf1e0a57fe5e3a3f3969040882"},
+    {file = "pyzmq-25.1.2-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:4345c9a27f4310afbb9c01750e9461ff33d6fb74cd2456b107525bbeebcb5be3"},
+    {file = "pyzmq-25.1.2-pp39-pypy39_pp73-manylinux_2_28_x86_64.whl", hash = "sha256:3516e0b6224cf6e43e341d56da15fd33bdc37fa0c06af4f029f7d7dfceceabbc"},
+    {file = "pyzmq-25.1.2-pp39-pypy39_pp73-win_amd64.whl", hash = "sha256:146b9b1f29ead41255387fb07be56dc29639262c0f7344f570eecdcd8d683314"},
+    {file = "pyzmq-25.1.2.tar.gz", hash = "sha256:93f1aa311e8bb912e34f004cf186407a4e90eec4f0ecc0efd26056bf7eda0226"},
+]
+
+[package.dependencies]
+cffi = {version = "*", markers = "implementation_name == \"pypy\""}
+
 [[package]]
 name = "ruff"
 version = "0.1.8"
@@ -380,6 +1171,48 @@ files = [
     {file = "ruff-0.1.8.tar.gz", hash = "sha256:f7ee467677467526cfe135eab86a40a0e8db43117936ac4f9b469ce9cdb3fb62"},
 ]
 
+[[package]]
+name = "scipy"
+version = "1.11.4"
+description = "Fundamental algorithms for scientific computing in Python"
+optional = false
+python-versions = ">=3.9"
+files = [
+    {file = "scipy-1.11.4-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:bc9a714581f561af0848e6b69947fda0614915f072dfd14142ed1bfe1b806710"},
+    {file = "scipy-1.11.4-cp310-cp310-macosx_12_0_arm64.whl", hash = "sha256:cf00bd2b1b0211888d4dc75656c0412213a8b25e80d73898083f402b50f47e41"},
+    {file = "scipy-1.11.4-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:b9999c008ccf00e8fbcce1236f85ade5c569d13144f77a1946bef8863e8f6eb4"},
+    {file = "scipy-1.11.4-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:933baf588daa8dc9a92c20a0be32f56d43faf3d1a60ab11b3f08c356430f6e56"},
+    {file = "scipy-1.11.4-cp310-cp310-musllinux_1_1_x86_64.whl", hash = "sha256:8fce70f39076a5aa62e92e69a7f62349f9574d8405c0a5de6ed3ef72de07f446"},
+    {file = "scipy-1.11.4-cp310-cp310-win_amd64.whl", hash = "sha256:6550466fbeec7453d7465e74d4f4b19f905642c89a7525571ee91dd7adabb5a3"},
+    {file = "scipy-1.11.4-cp311-cp311-macosx_10_9_x86_64.whl", hash = "sha256:f313b39a7e94f296025e3cffc2c567618174c0b1dde173960cf23808f9fae4be"},
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+    {file = "scipy-1.11.4-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:00150c5eae7b610c32589dda259eacc7c4f1665aedf25d921907f4d08a951b1c"},
+    {file = "scipy-1.11.4-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:530f9ad26440e85766509dbf78edcfe13ffd0ab7fec2560ee5c36ff74d6269ff"},
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+    {file = "scipy-1.11.4-cp311-cp311-win_amd64.whl", hash = "sha256:acf8ed278cc03f5aff035e69cb511741e0418681d25fbbb86ca65429c4f4d9cd"},
+    {file = "scipy-1.11.4-cp312-cp312-macosx_10_9_x86_64.whl", hash = "sha256:028eccd22e654b3ea01ee63705681ee79933652b2d8f873e7949898dda6d11b6"},
+    {file = "scipy-1.11.4-cp312-cp312-macosx_12_0_arm64.whl", hash = "sha256:2c6ff6ef9cc27f9b3db93a6f8b38f97387e6e0591600369a297a50a8e96e835d"},
+    {file = "scipy-1.11.4-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:b030c6674b9230d37c5c60ab456e2cf12f6784596d15ce8da9365e70896effc4"},
+    {file = "scipy-1.11.4-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:ad669df80528aeca5f557712102538f4f37e503f0c5b9541655016dd0932ca79"},
+    {file = "scipy-1.11.4-cp312-cp312-musllinux_1_1_x86_64.whl", hash = "sha256:ce7fff2e23ab2cc81ff452a9444c215c28e6305f396b2ba88343a567feec9660"},
+    {file = "scipy-1.11.4-cp312-cp312-win_amd64.whl", hash = "sha256:36750b7733d960d7994888f0d148d31ea3017ac15eef664194b4ef68d36a4a97"},
+    {file = "scipy-1.11.4-cp39-cp39-macosx_10_9_x86_64.whl", hash = "sha256:6e619aba2df228a9b34718efb023966da781e89dd3d21637b27f2e54db0410d7"},
+    {file = "scipy-1.11.4-cp39-cp39-macosx_12_0_arm64.whl", hash = "sha256:f3cd9e7b3c2c1ec26364856f9fbe78695fe631150f94cd1c22228456404cf1ec"},
+    {file = "scipy-1.11.4-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:d10e45a6c50211fe256da61a11c34927c68f277e03138777bdebedd933712fea"},
+    {file = "scipy-1.11.4-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:91af76a68eeae0064887a48e25c4e616fa519fa0d38602eda7e0f97d65d57937"},
+    {file = "scipy-1.11.4-cp39-cp39-musllinux_1_1_x86_64.whl", hash = "sha256:6df1468153a31cf55ed5ed39647279beb9cfb5d3f84369453b49e4b8502394fd"},
+    {file = "scipy-1.11.4-cp39-cp39-win_amd64.whl", hash = "sha256:ee410e6de8f88fd5cf6eadd73c135020bfbbbdfcd0f6162c36a7638a1ea8cc65"},
+    {file = "scipy-1.11.4.tar.gz", hash = "sha256:90a2b78e7f5733b9de748f589f09225013685f9b218275257f8a8168ededaeaa"},
+]
+
+[package.dependencies]
+numpy = ">=1.21.6,<1.28.0"
+
+[package.extras]
+dev = ["click", "cython-lint (>=0.12.2)", "doit (>=0.36.0)", "mypy", "pycodestyle", "pydevtool", "rich-click", "ruff", "types-psutil", "typing_extensions"]
+doc = ["jupytext", "matplotlib (>2)", "myst-nb", "numpydoc", "pooch", "pydata-sphinx-theme (==0.9.0)", "sphinx (!=4.1.0)", "sphinx-design (>=0.2.0)"]
+test = ["asv", "gmpy2", "mpmath", "pooch", "pytest", "pytest-cov", "pytest-timeout", "pytest-xdist", "scikit-umfpack", "threadpoolctl"]
+
 [[package]]
 name = "setuptools"
 version = "69.0.2"
@@ -396,6 +1229,50 @@ docs = ["furo", "jaraco.packaging (>=9.3)", "jaraco.tidelift (>=1.4)", "pygments
 testing = ["build[virtualenv]", "filelock (>=3.4.0)", "flake8-2020", "ini2toml[lite] (>=0.9)", "jaraco.develop (>=7.21)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "pip (>=19.1)", "pytest (>=6)", "pytest-black (>=0.3.7)", "pytest-checkdocs (>=2.4)", "pytest-cov", "pytest-enabler (>=2.2)", "pytest-mypy (>=0.9.1)", "pytest-perf", "pytest-ruff", "pytest-timeout", "pytest-xdist", "tomli-w (>=1.0.0)", "virtualenv (>=13.0.0)", "wheel"]
 testing-integration = ["build[virtualenv] (>=1.0.3)", "filelock (>=3.4.0)", "jaraco.envs (>=2.2)", "jaraco.path (>=3.2.0)", "packaging (>=23.1)", "pytest", "pytest-enabler", "pytest-xdist", "tomli", "virtualenv (>=13.0.0)", "wheel"]
 
+[[package]]
+name = "six"
+version = "1.16.0"
+description = "Python 2 and 3 compatibility utilities"
+optional = false
+python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*"
+files = [
+    {file = "six-1.16.0-py2.py3-none-any.whl", hash = "sha256:8abb2f1d86890a2dfb989f9a77cfcfd3e47c2a354b01111771326f8aa26e0254"},
+    {file = "six-1.16.0.tar.gz", hash = "sha256:1e61c37477a1626458e36f7b1d82aa5c9b094fa4802892072e49de9c60c4c926"},
+]
+
+[[package]]
+name = "stack-data"
+version = "0.6.3"
+description = "Extract data from python stack frames and tracebacks for informative displays"
+optional = false
+python-versions = "*"
+files = [
+    {file = "stack_data-0.6.3-py3-none-any.whl", hash = "sha256:d5558e0c25a4cb0853cddad3d77da9891a08cb85dd9f9f91b9f8cd66e511e695"},
+    {file = "stack_data-0.6.3.tar.gz", hash = "sha256:836a778de4fec4dcd1dcd89ed8abff8a221f58308462e1c4aa2a3cf30148f0b9"},
+]
+
+[package.dependencies]
+asttokens = ">=2.1.0"
+executing = ">=1.2.0"
+pure-eval = "*"
+
+[package.extras]
+tests = ["cython", "littleutils", "pygments", "pytest", "typeguard"]
+
+[[package]]
+name = "sympy"
+version = "1.12"
+description = "Computer algebra system (CAS) in Python"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "sympy-1.12-py3-none-any.whl", hash = "sha256:c3588cd4295d0c0f603d0f2ae780587e64e2efeedb3521e46b9bb1d08d184fa5"},
+    {file = "sympy-1.12.tar.gz", hash = "sha256:ebf595c8dac3e0fdc4152c51878b498396ec7f30e7a914d6071e674d49420fb8"},
+]
+
+[package.dependencies]
+mpmath = ">=0.19"
+
 [[package]]
 name = "tomli"
 version = "2.0.1"
@@ -407,6 +1284,26 @@ files = [
     {file = "tomli-2.0.1.tar.gz", hash = "sha256:de526c12914f0c550d15924c62d72abc48d6fe7364aa87328337a31007fe8a4f"},
 ]
 
+[[package]]
+name = "tornado"
+version = "6.4"
+description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
+optional = false
+python-versions = ">= 3.8"
+files = [
+    {file = "tornado-6.4-cp38-abi3-macosx_10_9_universal2.whl", hash = "sha256:02ccefc7d8211e5a7f9e8bc3f9e5b0ad6262ba2fbb683a6443ecc804e5224ce0"},
+    {file = "tornado-6.4-cp38-abi3-macosx_10_9_x86_64.whl", hash = "sha256:27787de946a9cffd63ce5814c33f734c627a87072ec7eed71f7fc4417bb16263"},
+    {file = "tornado-6.4-cp38-abi3-manylinux_2_17_aarch64.manylinux2014_aarch64.whl", hash = "sha256:f7894c581ecdcf91666a0912f18ce5e757213999e183ebfc2c3fdbf4d5bd764e"},
+    {file = "tornado-6.4-cp38-abi3-manylinux_2_5_i686.manylinux1_i686.manylinux_2_17_i686.manylinux2014_i686.whl", hash = "sha256:e43bc2e5370a6a8e413e1e1cd0c91bedc5bd62a74a532371042a18ef19e10579"},
+    {file = "tornado-6.4-cp38-abi3-manylinux_2_5_x86_64.manylinux1_x86_64.manylinux_2_17_x86_64.manylinux2014_x86_64.whl", hash = "sha256:f0251554cdd50b4b44362f73ad5ba7126fc5b2c2895cc62b14a1c2d7ea32f212"},
+    {file = "tornado-6.4-cp38-abi3-musllinux_1_1_aarch64.whl", hash = "sha256:fd03192e287fbd0899dd8f81c6fb9cbbc69194d2074b38f384cb6fa72b80e9c2"},
+    {file = "tornado-6.4-cp38-abi3-musllinux_1_1_i686.whl", hash = "sha256:88b84956273fbd73420e6d4b8d5ccbe913c65d31351b4c004ae362eba06e1f78"},
+    {file = "tornado-6.4-cp38-abi3-musllinux_1_1_x86_64.whl", hash = "sha256:71ddfc23a0e03ef2df1c1397d859868d158c8276a0603b96cf86892bff58149f"},
+    {file = "tornado-6.4-cp38-abi3-win32.whl", hash = "sha256:6f8a6c77900f5ae93d8b4ae1196472d0ccc2775cc1dfdc9e7727889145c45052"},
+    {file = "tornado-6.4-cp38-abi3-win_amd64.whl", hash = "sha256:10aeaa8006333433da48dec9fe417877f8bcc21f48dda8d661ae79da357b2a63"},
+    {file = "tornado-6.4.tar.gz", hash = "sha256:72291fa6e6bc84e626589f1c29d90a5a6d593ef5ae68052ee2ef000dfd273dee"},
+]
+
 [[package]]
 name = "tqdm"
 version = "4.66.1"
@@ -427,6 +1324,21 @@ notebook = ["ipywidgets (>=6)"]
 slack = ["slack-sdk"]
 telegram = ["requests"]
 
+[[package]]
+name = "traitlets"
+version = "5.14.0"
+description = "Traitlets Python configuration system"
+optional = false
+python-versions = ">=3.8"
+files = [
+    {file = "traitlets-5.14.0-py3-none-any.whl", hash = "sha256:f14949d23829023013c47df20b4a76ccd1a85effb786dc060f34de7948361b33"},
+    {file = "traitlets-5.14.0.tar.gz", hash = "sha256:fcdaa8ac49c04dfa0ed3ee3384ef6dfdb5d6f3741502be247279407679296772"},
+]
+
+[package.extras]
+docs = ["myst-parser", "pydata-sphinx-theme", "sphinx"]
+test = ["argcomplete (>=3.0.3)", "mypy (>=1.7.0)", "pre-commit", "pytest (>=7.0,<7.5)", "pytest-mock", "pytest-mypy-testing"]
+
 [[package]]
 name = "typing-extensions"
 version = "4.9.0"
@@ -438,7 +1350,29 @@ files = [
     {file = "typing_extensions-4.9.0.tar.gz", hash = "sha256:23478f88c37f27d76ac8aee6c905017a143b0b1b886c3c9f66bc2fd94f9f5783"},
 ]
 
+[[package]]
+name = "tzdata"
+version = "2023.3"
+description = "Provider of IANA time zone data"
+optional = false
+python-versions = ">=2"
+files = [
+    {file = "tzdata-2023.3-py2.py3-none-any.whl", hash = "sha256:7e65763eef3120314099b6939b5546db7adce1e7d6f2e179e3df563c70511eda"},
+    {file = "tzdata-2023.3.tar.gz", hash = "sha256:11ef1e08e54acb0d4f95bdb1be05da659673de4acbd21bf9c69e94cc5e907a3a"},
+]
+
+[[package]]
+name = "wcwidth"
+version = "0.2.12"
+description = "Measures the displayed width of unicode strings in a terminal"
+optional = false
+python-versions = "*"
+files = [
+    {file = "wcwidth-0.2.12-py2.py3-none-any.whl", hash = "sha256:f26ec43d96c8cbfed76a5075dac87680124fa84e0855195a6184da9c187f133c"},
+    {file = "wcwidth-0.2.12.tar.gz", hash = "sha256:f01c104efdf57971bcb756f054dd58ddec5204dd15fa31d6503ea57947d97c02"},
+]
+
 [metadata]
 lock-version = "2.0"
 python-versions = "^3.10"
-content-hash = "521c6aaa6b475990a5eaaf354b2104231c9c1d8a50be79bb9d5be4e63eb9aefd"
+content-hash = "b05e052aed9ec92c0edf386f9143271d69f3fc6e4c56a638721a16d7fcb2065b"
diff --git a/pyproject.toml b/pyproject.toml
index 98fc71e..f57e7d4 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -11,6 +11,11 @@ packages = [{ include = "holt59", from = "src" }]
 python = "^3.10"
 numpy = "^1.26.2"
 tqdm = "^4.66.1"
+parse = "^1.20.0"
+scipy = "^1.11.4"
+ortools = "^9.8.3296"
+sympy = "^1.12"
+networkx = "^3.2.1"
 
 [tool.poetry.scripts]
 holt59-aoc = "holt59.aoc.__main__:main"
@@ -39,6 +44,7 @@ mypy = "^1.7.1"
 isort = "^5.13.2"
 ruff = "^0.1.8"
 poethepoet = "^0.24.4"
+ipykernel = "^6.27.1"
 
 [build-system]
 requires = ["poetry-core"]
diff --git a/src/holt59/aoc/2023/day24.py b/src/holt59/aoc/2023/day24.py
index 992bf35..e7e481a 100644
--- a/src/holt59/aoc/2023/day24.py
+++ b/src/holt59/aoc/2023/day24.py
@@ -1,13 +1,69 @@
 import sys
 from collections import defaultdict
 from dataclasses import dataclass
+import numpy as np
+
+from sympy import solve, symbols
+
 
 lines = sys.stdin.read().splitlines()
 
+positions = [
+    np.array([int(c) for c in line.split("@")[0].strip().split(", ")]) for line in lines
+]
+velocities = [
+    np.array([int(c) for c in line.split("@")[1].strip().split(", ")]) for line in lines
+]
+
 # part 1
-answer_1 = ...
+low, high = [7, 27] if len(positions) <= 10 else [200000000000000, 400000000000000]
+count = 0
+for i, (p1, v1) in enumerate(zip(positions, velocities)):
+    for p2, v2 in zip(positions[i + 1:], velocities[i + 1:]):
+        p, r = p1[:2], v1[:2]
+        q, s = p2[:2], v2[:2]
+
+        rs = np.cross(r, s)
+        qpr = np.cross((q - p), r)
+
+        if rs == 0:
+            # assume there are no colinear lines
+            continue
+        else:
+            assert rs != 0
+            t = np.cross((q - p), s) / rs 
+            u = np.cross((q - p), r) / rs
+
+            if t >= 0 and u >= 0:
+                c = p + t * r
+
+                if low <= c[0] <= high and low <= c[1] <= high:
+                    count += 1
+
+answer_1 = count
 print(f"answer 1 is {answer_1}")
 
 # part 2
-answer_2 = ...
+# equation
+#   p1 + t1 * v1 == p0 + t1 * v0
+#   p2 + t2 * v2 == p0 + t2 * v0
+#   p3 + t3 * v3 == p0 + t3 * v0
+#      ...
+#   pn + tn * vn == p0 + tn * v0
+# 
+
+# we can solve with only 3 lines since each lines contains 3 
+# equations (x / y / z), so 3 lines give 9 equations and 9
+# variables: position (3), velocities (3) and times (3).
+n = 3
+
+x, y, z, vx, vy, vz, *ts = symbols('x y z vx vy vz ' + ' '.join(f't{i}' for i in range(n + 1)))
+equations = []
+for i, ti in zip(range(n), ts):
+    for p, d, pi, di in zip((x, y, z), (vx, vy, vz), positions[i], velocities[i]):
+        equations.append(p + ti * d - pi - ti * di)
+
+r = solve(equations, [x, y, z, vx, vy, vz] + list(ts), dict=True)[0]
+
+answer_2 = r[x] + r[y] + r[z]
 print(f"answer 2 is {answer_2}")
diff --git a/src/holt59/aoc/inputs/holt59/2023/day24.txt b/src/holt59/aoc/inputs/holt59/2023/day24.txt
index e69de29..8fd4e47 100644
--- a/src/holt59/aoc/inputs/holt59/2023/day24.txt
+++ b/src/holt59/aoc/inputs/holt59/2023/day24.txt
@@ -0,0 +1,300 @@
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diff --git a/src/holt59/aoc/inputs/tests/2023/day24.txt b/src/holt59/aoc/inputs/tests/2023/day24.txt
index e69de29..35963dc 100644
--- a/src/holt59/aoc/inputs/tests/2023/day24.txt
+++ b/src/holt59/aoc/inputs/tests/2023/day24.txt
@@ -0,0 +1,5 @@
+19, 13, 30 @ -2,  1, -2
+18, 19, 22 @ -1, -1, -2
+20, 25, 34 @ -2, -2, -4
+12, 31, 28 @ -1, -2, -1
+20, 19, 15 @  1, -5, -3