Add first chapter

2023-01-20 00:01:37 +01:00 · 2023-01-20 00:01:37 +01:00 · ab05595812
parent 52a5cbc553
commit ab05595812
8 changed files with 1052 additions and 2 deletions
--- a/Statistik/Boxplot.png
+++ b/Statistik/Boxplot.png
--- a/Statistik/Diagrams.ipynb
+++ b/Statistik/Diagrams.ipynb
--- a/Statistik/Histogram.png
+++ b/Statistik/Histogram.png
--- a/Statistik/Probabilities.png
+++ b/Statistik/Probabilities.png
--- a/Statistik/Quantiles.png
+++ b/Statistik/Quantiles.png
--- a/Statistik/Summary.md
+++ b/Statistik/Summary.md
@ -1,9 +1,22 @@
+<style>
+  img {
+    max-height: 300px;
+  }
+</style>
+
 # Stochastik und Statistik

 - [Stochastik und Statistik](#stochastik-und-statistik)
  - [Deskriptive Statistik](#deskriptive-statistik)
    - [Merkmals-Typen](#merkmals-typen)
    - [Häufigkeiten](#häufigkeiten)
+      - [Klassierte Stichproben im Histogramm](#klassierte-stichproben-im-histogramm)
+    - [Kennwerte](#kennwerte)
+      - [Quantile](#quantile)
+      - [Boxplot](#boxplot)
+      - [Lage-Kennwerte](#lage-kennwerte)
+      - [Streuungs-Kennwerte](#streuungs-kennwerte)
+      - [Lagewerte in Klassierten Daten](#lagewerte-in-klassierten-daten)
 - [Glossar](#glossar)

 ## Deskriptive Statistik
@ -66,7 +79,7 @@ Frage: Wieviel kostet ein Mars-Riegel?
 | ----------------------- | ----------- | ------------------------------------------------------------------- |
 | Beliebiger Preis in CHF | Diskret     | Beträge, die nicht durch 5 Rappen teilbar sind, sind nicht möglich. |

-## Häufigkeiten
+### Häufigkeiten
 Eine Häufigkeit ist die Anzahl Male, die ein Merkmalsträger in der Stichprobe eine bestimmte Eigenschaft erfüllt.
 Diese kann auf verschiedene Weisen dargestellt werden.

@ -84,6 +97,14 @@ Die Funktion für die Häufigkeitsfunktion (auch genannt: Dichtefunktion) hat fo
  - Für diskrete Merkmale: _PMF_ (probability mass function)
  - Für stetige Merkmale: _PDF_ (probability density function)

+Zudem gibt es folgende Verteilungsfunktionen:
+  - $H(x)$ Absolute Summenhäufigkeit: Anzahl Merkmalträger mit Merkmal $x_i$ mit $x_i < x$
+  - $F(x)$ Kummulative Verteilungsfunktion _CDF_: Relative Häufigkeit der Merkmalträger mit Merkmal $x_i$ mit $x_i < x$
+
+Beispiele der wichtigsten Häufigkeits-Funktionen:
+
+![](./Probabilities.png)
+
 <div class="letters">

  - $f_i$: Relative Häufigkeit
@ -92,5 +113,112 @@ Die Funktion für die Häufigkeitsfunktion (auch genannt: Dichtefunktion) hat fo

 </div>

+#### Klassierte Stichproben im Histogramm
+Klassierte Stellen werden durch Grösse der Klasse geteilt, um diese zu berücksichtigen.
+
+Daraus gewonnene Daten können in einem Histogramm dargestellt werden.
+
+Beispiel:
+| Klasse                       | $[100,200[$                | $[200,500[$                 | $[500,800[$                 | $[800,1000[$               | $[1000,2000[$                | Total |
+| ---------------------------- | -------------------------- | --------------------------- | --------------------------- | -------------------------- | ---------------------------- | ----- |
+| Absolute Häufigkeit          | $35$                       | $182$                       | $317$                       | $84$                       | $132$                        | $750$ |
+| Relative Häufigkeit          | $\frac{35}{750}$           | $\frac{182}{750}$           | $\frac{317}{750}$           | $\frac{84}{750}$           | $\frac{132}{750}$            | $1$   |
+| Klassen-Grösse               | $100$                      | $300$                       | $300$                       | $200$                      | $1000$                       |
+| Säulenhöhe für Absolut       | $\frac{35}{100}$           | $\frac{182}{300}$           | $\frac{317}{300}$           | $\frac{84}{200}$           | $\frac{132}{1000}$           |       |
+| Säulenhöhe für Relativ (PDF) | $\frac{35}{750 \cdot 100}$ | $\frac{182}{750 \cdot 300}$ | $\frac{317}{750 \cdot 300}$ | $\frac{84}{750 \cdot 200}$ | $\frac{132}{750 \cdot 1000}$ |       |
+
+Histogramm der genannten Daten:
+
+![](./Histogram.png)
+
+### Kennwerte
+#### Quantile
+Ein $q$-Quantil definiert den Wert des $\lceil n \cdot q \rceil$-te Element.
+
+Folgende bekannte $q$-Quantile gibt es:
+  - $0.25$-Quantil: Das 1. Quartil
+  - $0.50$-Quantil: Das 2. Quartil auch "Median" oder "Zentralwert"
+  - $0.75$-Quantil: Das 3. Quartil
+
+Beispiel einer Statistik mit eingezeichneten Quartilen:
+
+![](./Quantiles.png)
+
+#### Boxplot
+  - Boxplots zeigen folgende Informationen
+    - Das 1. Quartil $Q_1$
+    - Den Median $Q_2$
+    - Das 3. Quartil $Q_3$
+    - Den Minimalwert (min. $1.5 \cdot (Q_3 - Q_1)$)
+    - Den Maximalwert (max. $1.5 \cdot (Q_3 - Q_1)$)
+
+![](Boxplot.png)
+
+#### Lage-Kennwerte
+  - Arithmetisches Mittel $\overline{x}$: Mittelwert der Stichprobenwerte
+  - Median $x_\text{med}$: Wert des 2. Quartil $Q_2$
+  - Modus $x_\text{mod}$: Der häufigste Wert in der Stichprobe
+
+#### Streuungs-Kennwerte
+
+<div class="formula">
+
+***Varianz $\tilde{s}^2$:***
+
+$$\tilde{s}^2 = \left(\frac{1}{n} \cdot \sum_{i = 1}^m{a_i^2 \cdot h_i}\right) - \tilde{x}^2$$
+
+alternative Schreibweisen:
+
+$$\begin{aligned}
+ \tilde{s}^2 &= \frac{1}{n} \cdot \sum_{i = 1}^n(x_i - \overline{x})^2 = \frac{1}{n} \cdot \sum_{i = 1}^m{h_i \cdot (a_i - \overline{x})^2} \\
+ &= \left(\frac{1}{n} \cdot \sum_{i = 1}^n x_i^2\right) - \overline{x}^2 = \left(\sum_{i = 1}^m{a_i^2 \cdot f_i}\right) - \overline{x}^2
+\end{aligned}
+$$
+
+***Standardabweichung $\tilde{s}$:***
+
+$$\tilde{s} = \sqrt{\tilde{s}^2}$$
+
+***Korrigierte Varianz $s^2$:***
+
+$$s^2 = \frac{n}{n - 1} \tilde{s}^2$$
+
+***Korrigierte Standardabweichung $s$:***
+
+$$s = \sqrt{s^2} = \sqrt{\frac{n}{n - 1}} \cdot \tilde{s}$$
+
+***Interquartilsabstand $IQR$:***
+
+$$IQR = Q_3 - Q_1$$
+
+</div>
+
+<div class="letters">
+
+  - $a_i$: $i$-te Merkmals-Ausprägung
+  - $m$: Anzahl unterschiedlicher Merkmals-Ausprägungen (oder Klassen)
+
+</div>
+
+#### Lagewerte in Klassierten Daten
+Einige Werte berechnen sich speziell in klassierten Daten.
+
+***Quantile:***
+
+Der Wert $R_q$ eines $q$-Quantils berechnet sich, indem folgendes durchgeführt wird:
+
+ 1. Erste Klasse $K$ mit einem $CDF > q$ finden
+ 2. $K_0$ auf untere und $K_1$ auf obere Grenze der Klasse $K$ setzen
+ 3. Folgendes berechnen:
+    $$R_q = K_0 + \frac{(K_1 - K_0) \cdot (q - CDF(K_0))}{CDF(K_1) - CDF(K_0)}$$
+ 4. $R_q$ entspricht nun dem $q$-Quartil
+
+***Modus:***
+
+ 1. Klasse $K$ mit grösster relativer Häufigkeit bestimmen
+ 2. $K_0$ auf untere und $K_1$ auf obere Grenze der Klasse $K$ setzen
+ 3. Folgendes berechnen:
+    $$x_\text{mod} = K_0 + \frac{K_1 - K_0}{2}$$
+
 # Glossar
  - Univariate Daten: Daten, welche nur ein Merkmal haben
--- a/15
+++ b/15
@ -0,0 +1,15 @@
+[[source]]
+url = "https://pypi.org/simple"
+verify_ssl = true
+name = "pypi"
+
+[packages]
+numpy = "*"
+matplotlib = "*"
+ipykernel = "*"
+scipy = "*"
+
+[dev-packages]
+
+[requires]
+python_version = "3.10"
--- a/Pipfile.lock
+++ b/Pipfile.lock
@ -0,0 +1,736 @@
+{
+    "_meta": {
+        "hash": {
+            "sha256": "308af88c13ba6a71880d47e85f5b22a050dbb02b8f0dc18b559524e3855185a3"
+        },
+        "pipfile-spec": 6,
+        "requires": {
+            "python_version": "3.10"
+        },
+        "sources": [
+            {
+                "name": "pypi",
+                "url": "https://pypi.org/simple",
+                "verify_ssl": true
+            }
+        ]
+    },
+    "default": {
+        "asttokens": {
+            "hashes": [
+                "sha256:4622110b2a6f30b77e1473affaa97e711bc2f07d3f10848420ff1898edbe94f3",
+                "sha256:6b0ac9e93fb0335014d382b8fa9b3afa7df546984258005da0b9e7095b3deb1c"
+            ],
+            "version": "==2.2.1"
+        },
+        "backcall": {
+            "hashes": [
+                "sha256:5cbdbf27be5e7cfadb448baf0aa95508f91f2bbc6c6437cd9cd06e2a4c215e1e",
+                "sha256:fbbce6a29f263178a1f7915c1940bde0ec2b2a967566fe1c65c1dfb7422bd255"
+            ],
+            "version": "==0.2.0"
+        },
+        "colorama": {
+            "hashes": [
+                "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44",
+                "sha256:4f1d9991f5acc0ca119f9d443620b77f9d6b33703e51011c16baf57afb285fc6"
+            ],
+            "markers": "sys_platform == 'win32'",
+            "version": "==0.4.6"
+        },
+        "comm": {
+            "hashes": [
+                "sha256:3e2f5826578e683999b93716285b3b1f344f157bf75fa9ce0a797564e742f062",
+                "sha256:9f3abf3515112fa7c55a42a6a5ab358735c9dccc8b5910a9d8e3ef5998130666"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==0.1.2"
+        },
+        "contourpy": {
+            "hashes": [
+                "sha256:031154ed61f7328ad7f97662e48660a150ef84ee1bc8876b6472af88bf5a9b98",
+                "sha256:0f9d350b639db6c2c233d92c7f213d94d2e444d8e8fc5ca44c9706cf72193772",
+                "sha256:130230b7e49825c98edf0b428b7aa1125503d91732735ef897786fe5452b1ec2",
+                "sha256:152fd8f730c31fd67fe0ffebe1df38ab6a669403da93df218801a893645c6ccc",
+                "sha256:1c71fdd8f1c0f84ffd58fca37d00ca4ebaa9e502fb49825484da075ac0b0b803",
+                "sha256:24847601071f740837aefb730e01bd169fbcaa610209779a78db7ebb6e6a7051",
+                "sha256:2e9ebb4425fc1b658e13bace354c48a933b842d53c458f02c86f371cecbedecc",
+                "sha256:30676ca45084ee61e9c3da589042c24a57592e375d4b138bd84d8709893a1ba4",
+                "sha256:31a55dccc8426e71817e3fe09b37d6d48ae40aae4ecbc8c7ad59d6893569c436",
+                "sha256:366a0cf0fc079af5204801786ad7a1c007714ee3909e364dbac1729f5b0849e5",
+                "sha256:38e2e577f0f092b8e6774459317c05a69935a1755ecfb621c0a98f0e3c09c9a5",
+                "sha256:3c184ad2433635f216645fdf0493011a4667e8d46b34082f5a3de702b6ec42e3",
+                "sha256:3caea6365b13119626ee996711ab63e0c9d7496f65641f4459c60a009a1f3e80",
+                "sha256:3e927b3868bd1e12acee7cc8f3747d815b4ab3e445a28d2e5373a7f4a6e76ba1",
+                "sha256:4ee3ee247f795a69e53cd91d927146fb16c4e803c7ac86c84104940c7d2cabf0",
+                "sha256:54d43960d809c4c12508a60b66cb936e7ed57d51fb5e30b513934a4a23874fae",
+                "sha256:57119b0116e3f408acbdccf9eb6ef19d7fe7baf0d1e9aaa5381489bc1aa56556",
+                "sha256:58569c491e7f7e874f11519ef46737cea1d6eda1b514e4eb5ac7dab6aa864d02",
+                "sha256:5a011cf354107b47c58ea932d13b04d93c6d1d69b8b6dce885e642531f847566",
+                "sha256:5caeacc68642e5f19d707471890f037a13007feba8427eb7f2a60811a1fc1350",
+                "sha256:5dd34c1ae752515318224cba7fc62b53130c45ac6a1040c8b7c1a223c46e8967",
+                "sha256:60835badb5ed5f4e194a6f21c09283dd6e007664a86101431bf870d9e86266c4",
+                "sha256:62398c80ef57589bdbe1eb8537127321c1abcfdf8c5f14f479dbbe27d0322e66",
+                "sha256:6381fa66866b0ea35e15d197fc06ac3840a9b2643a6475c8fff267db8b9f1e69",
+                "sha256:64757f6460fc55d7e16ed4f1de193f362104285c667c112b50a804d482777edd",
+                "sha256:69f8ff4db108815addd900a74df665e135dbbd6547a8a69333a68e1f6e368ac2",
+                "sha256:6c180d89a28787e4b73b07e9b0e2dac7741261dbdca95f2b489c4f8f887dd810",
+                "sha256:71b0bf0c30d432278793d2141362ac853859e87de0a7dee24a1cea35231f0d50",
+                "sha256:769eef00437edf115e24d87f8926955f00f7704bede656ce605097584f9966dc",
+                "sha256:7f6979d20ee5693a1057ab53e043adffa1e7418d734c1532e2d9e915b08d8ec2",
+                "sha256:87f4d8941a9564cda3f7fa6a6cd9b32ec575830780677932abdec7bcb61717b0",
+                "sha256:89ba9bb365446a22411f0673abf6ee1fea3b2cf47b37533b970904880ceb72f3",
+                "sha256:8acf74b5d383414401926c1598ed77825cd530ac7b463ebc2e4f46638f56cce6",
+                "sha256:9056c5310eb1daa33fc234ef39ebfb8c8e2533f088bbf0bc7350f70a29bde1ac",
+                "sha256:95c3acddf921944f241b6773b767f1cbce71d03307270e2d769fd584d5d1092d",
+                "sha256:9e20e5a1908e18aaa60d9077a6d8753090e3f85ca25da6e25d30dc0a9e84c2c6",
+                "sha256:a1e97b86f73715e8670ef45292d7cc033548266f07d54e2183ecb3c87598888f",
+                "sha256:a877ada905f7d69b2a31796c4b66e31a8068b37aa9b78832d41c82fc3e056ddd",
+                "sha256:a9d7587d2fdc820cc9177139b56795c39fb8560f540bba9ceea215f1f66e1566",
+                "sha256:abf298af1e7ad44eeb93501e40eb5a67abbf93b5d90e468d01fc0c4451971afa",
+                "sha256:ae90d5a8590e5310c32a7630b4b8618cef7563cebf649011da80874d0aa8f414",
+                "sha256:b6d0f9e1d39dbfb3977f9dd79f156c86eb03e57a7face96f199e02b18e58d32a",
+                "sha256:b8d587cc39057d0afd4166083d289bdeff221ac6d3ee5046aef2d480dc4b503c",
+                "sha256:c5210e5d5117e9aec8c47d9156d1d3835570dd909a899171b9535cb4a3f32693",
+                "sha256:cc331c13902d0f50845099434cd936d49d7a2ca76cb654b39691974cb1e4812d",
+                "sha256:ce41676b3d0dd16dbcfabcc1dc46090aaf4688fd6e819ef343dbda5a57ef0161",
+                "sha256:d8165a088d31798b59e91117d1f5fc3df8168d8b48c4acc10fc0df0d0bdbcc5e",
+                "sha256:e7281244c99fd7c6f27c1c6bfafba878517b0b62925a09b586d88ce750a016d2",
+                "sha256:e96a08b62bb8de960d3a6afbc5ed8421bf1a2d9c85cc4ea73f4bc81b4910500f",
+                "sha256:ed33433fc3820263a6368e532f19ddb4c5990855e4886088ad84fd7c4e561c71",
+                "sha256:efb8f6d08ca7998cf59eaf50c9d60717f29a1a0a09caa46460d33b2924839dbd",
+                "sha256:efe99298ba37e37787f6a2ea868265465410822f7bea163edcc1bd3903354ea9",
+                "sha256:f99e9486bf1bb979d95d5cffed40689cb595abb2b841f2991fc894b3452290e8",
+                "sha256:fc1464c97579da9f3ab16763c32e5c5d5bb5fa1ec7ce509a4ca6108b61b84fab",
+                "sha256:fd7dc0e6812b799a34f6d12fcb1000539098c249c8da54f3566c6a6461d0dbad"
+            ],
+            "markers": "python_version >= '3.8'",
+            "version": "==1.0.7"
+        },
+        "cycler": {
+            "hashes": [
+                "sha256:3a27e95f763a428a739d2add979fa7494c912a32c17c4c38c4d5f082cad165a3",
+                "sha256:9c87405839a19696e837b3b818fed3f5f69f16f1eec1a1ad77e043dcea9c772f"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==0.11.0"
+        },
+        "debugpy": {
+            "hashes": [
+                "sha256:048368f121c08b00bbded161e8583817af5055982d2722450a69efe2051621c2",
+                "sha256:0f9afcc8cad6424695f3356dc9a7406d5b18e37ee2e73f34792881a44b02cc50",
+                "sha256:15bc5febe0edc79726517b1f8d57d7ac7c784567b5ba804aab8b1c9d07a57018",
+                "sha256:17039e392d6f38388a68bd02c5f823b32a92142a851e96ba3ec52aeb1ce9d900",
+                "sha256:286ae0c2def18ee0dc8a61fa76d51039ca8c11485b6ed3ef83e3efe8a23926ae",
+                "sha256:377391341c4b86f403d93e467da8e2d05c22b683f08f9af3e16d980165b06b90",
+                "sha256:500dd4a9ff818f5c52dddb4a608c7de5371c2d7d905c505eb745556c579a9f11",
+                "sha256:5e55e6c79e215239dd0794ee0bf655412b934735a58e9d705e5c544f596f1603",
+                "sha256:62a06eb78378292ba6c427d861246574dc8b84471904973797b29dd33c7c2495",
+                "sha256:696165f021a6a17da08163eaae84f3faf5d8be68fb78cd78488dd347e625279c",
+                "sha256:74e4eca42055759032e3f1909d1374ba1d729143e0c2729bb8cb5e8b5807c458",
+                "sha256:7e84d9e4420122384cb2cc762a00b4e17cbf998022890f89b195ce178f78ff47",
+                "sha256:8116e40a1cd0593bd2aba01d4d560ee08f018da8e8fbd4cbd24ff09b5f0e41ef",
+                "sha256:8f3fab217fe7e2acb2d90732af1a871947def4e2b6654945ba1ebd94bd0bea26",
+                "sha256:947c686e8adb46726f3d5f19854f6aebf66c2edb91225643c7f44b40b064a235",
+                "sha256:9984fc00ab372c97f63786c400107f54224663ea293daab7b365a5b821d26309",
+                "sha256:9e809ef787802c808995e5b6ade714a25fa187f892b41a412d418a15a9c4a432",
+                "sha256:b5a74ecebe5253344501d9b23f74459c46428b30437fa9254cfb8cb129943242"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==1.6.5"
+        },
+        "decorator": {
+            "hashes": [
+                "sha256:637996211036b6385ef91435e4fae22989472f9d571faba8927ba8253acbc330",
+                "sha256:b8c3f85900b9dc423225913c5aace94729fe1fa9763b38939a95226f02d37186"
+            ],
+            "markers": "python_version >= '3.5'",
+            "version": "==5.1.1"
+        },
+        "entrypoints": {
+            "hashes": [
+                "sha256:b706eddaa9218a19ebcd67b56818f05bb27589b1ca9e8d797b74affad4ccacd4",
+                "sha256:f174b5ff827504fd3cd97cc3f8649f3693f51538c7e4bdf3ef002c8429d42f9f"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==0.4"
+        },
+        "executing": {
+            "hashes": [
+                "sha256:0314a69e37426e3608aada02473b4161d4caf5a4b244d1d0c48072b8fee7bacc",
+                "sha256:19da64c18d2d851112f09c287f8d3dbbdf725ab0e569077efb6cdcbd3497c107"
+            ],
+            "version": "==1.2.0"
+        },
+        "fonttools": {
+            "hashes": [
+                "sha256:2bb244009f9bf3fa100fc3ead6aeb99febe5985fa20afbfbaa2f8946c2fbdaf1",
+                "sha256:820466f43c8be8c3009aef8b87e785014133508f0de64ec469e4efb643ae54fb"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==4.38.0"
+        },
+        "ipykernel": {
+            "hashes": [
+                "sha256:1893c5b847033cd7a58f6843b04a9349ffb1031bc6588401cadc9adb58da428e",
+                "sha256:5d0675d5f48bf6a95fd517d7b70bcb3b2c5631b2069949b5c2d6e1d7477fb5a0"
+            ],
+            "index": "pypi",
+            "version": "==6.20.2"
+        },
+        "ipython": {
+            "hashes": [
+                "sha256:da01e6df1501e6e7c32b5084212ddadd4ee2471602e2cf3e0190f4de6b0ea481",
+                "sha256:f3bf2c08505ad2c3f4ed5c46ae0331a8547d36bf4b21a451e8ae80c0791db95b"
+            ],
+            "markers": "python_version >= '3.8'",
+            "version": "==8.8.0"
+        },
+        "jedi": {
+            "hashes": [
+                "sha256:203c1fd9d969ab8f2119ec0a3342e0b49910045abe6af0a3ae83a5764d54639e",
+                "sha256:bae794c30d07f6d910d32a7048af09b5a39ed740918da923c6b780790ebac612"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==0.18.2"
+        },
+        "jupyter-client": {
+            "hashes": [
+                "sha256:214668aaea208195f4c13d28eb272ba79f945fc0cf3f11c7092c20b2ca1980e7",
+                "sha256:52be28e04171f07aed8f20e1616a5a552ab9fee9cbbe6c1896ae170c3880d392"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==7.4.9"
+        },
+        "jupyter-core": {
+            "hashes": [
+                "sha256:82e1cff0ef804c38677eff7070d5ff1d45037fef01a2d9ba9e6b7b8201831e9f",
+                "sha256:d23ab7db81ca1759f13780cd6b65f37f59bf8e0186ac422d5ca4982cc7d56716"
+            ],
+            "markers": "python_version >= '3.8'",
+            "version": "==5.1.3"
+        },
+        "kiwisolver": {
+            "hashes": [
+                "sha256:02f79693ec433cb4b5f51694e8477ae83b3205768a6fb48ffba60549080e295b",
+                "sha256:03baab2d6b4a54ddbb43bba1a3a2d1627e82d205c5cf8f4c924dc49284b87166",
+                "sha256:1041feb4cda8708ce73bb4dcb9ce1ccf49d553bf87c3954bdfa46f0c3f77252c",
+                "sha256:10ee06759482c78bdb864f4109886dff7b8a56529bc1609d4f1112b93fe6423c",
+                "sha256:1d1573129aa0fd901076e2bfb4275a35f5b7aa60fbfb984499d661ec950320b0",
+                "sha256:283dffbf061a4ec60391d51e6155e372a1f7a4f5b15d59c8505339454f8989e4",
+                "sha256:28bc5b299f48150b5f822ce68624e445040595a4ac3d59251703779836eceff9",
+                "sha256:2a66fdfb34e05b705620dd567f5a03f239a088d5a3f321e7b6ac3239d22aa286",
+                "sha256:2e307eb9bd99801f82789b44bb45e9f541961831c7311521b13a6c85afc09767",
+                "sha256:2e407cb4bd5a13984a6c2c0fe1845e4e41e96f183e5e5cd4d77a857d9693494c",
+                "sha256:2f5e60fabb7343a836360c4f0919b8cd0d6dbf08ad2ca6b9cf90bf0c76a3c4f6",
+                "sha256:36dafec3d6d6088d34e2de6b85f9d8e2324eb734162fba59d2ba9ed7a2043d5b",
+                "sha256:3fe20f63c9ecee44560d0e7f116b3a747a5d7203376abeea292ab3152334d004",
+                "sha256:41dae968a94b1ef1897cb322b39360a0812661dba7c682aa45098eb8e193dbdf",
+                "sha256:4bd472dbe5e136f96a4b18f295d159d7f26fd399136f5b17b08c4e5f498cd494",
+                "sha256:4ea39b0ccc4f5d803e3337dd46bcce60b702be4d86fd0b3d7531ef10fd99a1ac",
+                "sha256:5853eb494c71e267912275e5586fe281444eb5e722de4e131cddf9d442615626",
+                "sha256:5bce61af018b0cb2055e0e72e7d65290d822d3feee430b7b8203d8a855e78766",
+                "sha256:6295ecd49304dcf3bfbfa45d9a081c96509e95f4b9d0eb7ee4ec0530c4a96514",
+                "sha256:62ac9cc684da4cf1778d07a89bf5f81b35834cb96ca523d3a7fb32509380cbf6",
+                "sha256:70e7c2e7b750585569564e2e5ca9845acfaa5da56ac46df68414f29fea97be9f",
+                "sha256:7577c1987baa3adc4b3c62c33bd1118c3ef5c8ddef36f0f2c950ae0b199e100d",
+                "sha256:75facbe9606748f43428fc91a43edb46c7ff68889b91fa31f53b58894503a191",
+                "sha256:787518a6789009c159453da4d6b683f468ef7a65bbde796bcea803ccf191058d",
+                "sha256:78d6601aed50c74e0ef02f4204da1816147a6d3fbdc8b3872d263338a9052c51",
+                "sha256:7c43e1e1206cd421cd92e6b3280d4385d41d7166b3ed577ac20444b6995a445f",
+                "sha256:81e38381b782cc7e1e46c4e14cd997ee6040768101aefc8fa3c24a4cc58e98f8",
+                "sha256:841293b17ad704d70c578f1f0013c890e219952169ce8a24ebc063eecf775454",
+                "sha256:872b8ca05c40d309ed13eb2e582cab0c5a05e81e987ab9c521bf05ad1d5cf5cb",
+                "sha256:877272cf6b4b7e94c9614f9b10140e198d2186363728ed0f701c6eee1baec1da",
+                "sha256:8c808594c88a025d4e322d5bb549282c93c8e1ba71b790f539567932722d7bd8",
+                "sha256:8ed58b8acf29798b036d347791141767ccf65eee7f26bde03a71c944449e53de",
+                "sha256:91672bacaa030f92fc2f43b620d7b337fd9a5af28b0d6ed3f77afc43c4a64b5a",
+                "sha256:968f44fdbf6dd757d12920d63b566eeb4d5b395fd2d00d29d7ef00a00582aac9",
+                "sha256:9f85003f5dfa867e86d53fac6f7e6f30c045673fa27b603c397753bebadc3008",
+                "sha256:a553dadda40fef6bfa1456dc4be49b113aa92c2a9a9e8711e955618cd69622e3",
+                "sha256:a68b62a02953b9841730db7797422f983935aeefceb1679f0fc85cbfbd311c32",
+                "sha256:abbe9fa13da955feb8202e215c4018f4bb57469b1b78c7a4c5c7b93001699938",
+                "sha256:ad881edc7ccb9d65b0224f4e4d05a1e85cf62d73aab798943df6d48ab0cd79a1",
+                "sha256:b1792d939ec70abe76f5054d3f36ed5656021dcad1322d1cc996d4e54165cef9",
+                "sha256:b428ef021242344340460fa4c9185d0b1f66fbdbfecc6c63eff4b7c29fad429d",
+                "sha256:b533558eae785e33e8c148a8d9921692a9fe5aa516efbdff8606e7d87b9d5824",
+                "sha256:ba59c92039ec0a66103b1d5fe588fa546373587a7d68f5c96f743c3396afc04b",
+                "sha256:bc8d3bd6c72b2dd9decf16ce70e20abcb3274ba01b4e1c96031e0c4067d1e7cd",
+                "sha256:bc9db8a3efb3e403e4ecc6cd9489ea2bac94244f80c78e27c31dcc00d2790ac2",
+                "sha256:bf7d9fce9bcc4752ca4a1b80aabd38f6d19009ea5cbda0e0856983cf6d0023f5",
+                "sha256:c2dbb44c3f7e6c4d3487b31037b1bdbf424d97687c1747ce4ff2895795c9bf69",
+                "sha256:c79ebe8f3676a4c6630fd3f777f3cfecf9289666c84e775a67d1d358578dc2e3",
+                "sha256:c97528e64cb9ebeff9701e7938653a9951922f2a38bd847787d4a8e498cc83ae",
+                "sha256:d0611a0a2a518464c05ddd5a3a1a0e856ccc10e67079bb17f265ad19ab3c7597",
+                "sha256:d06adcfa62a4431d404c31216f0f8ac97397d799cd53800e9d3efc2fbb3cf14e",
+                "sha256:d41997519fcba4a1e46eb4a2fe31bc12f0ff957b2b81bac28db24744f333e955",
+                "sha256:d5b61785a9ce44e5a4b880272baa7cf6c8f48a5180c3e81c59553ba0cb0821ca",
+                "sha256:da152d8cdcab0e56e4f45eb08b9aea6455845ec83172092f09b0e077ece2cf7a",
+                "sha256:da7e547706e69e45d95e116e6939488d62174e033b763ab1496b4c29b76fabea",
+                "sha256:db5283d90da4174865d520e7366801a93777201e91e79bacbac6e6927cbceede",
+                "sha256:db608a6757adabb32f1cfe6066e39b3706d8c3aa69bbc353a5b61edad36a5cb4",
+                "sha256:e0ea21f66820452a3f5d1655f8704a60d66ba1191359b96541eaf457710a5fc6",
+                "sha256:e7da3fec7408813a7cebc9e4ec55afed2d0fd65c4754bc376bf03498d4e92686",
+                "sha256:e92a513161077b53447160b9bd8f522edfbed4bd9759e4c18ab05d7ef7e49408",
+                "sha256:ecb1fa0db7bf4cff9dac752abb19505a233c7f16684c5826d1f11ebd9472b871",
+                "sha256:efda5fc8cc1c61e4f639b8067d118e742b812c930f708e6667a5ce0d13499e29",
+                "sha256:f0a1dbdb5ecbef0d34eb77e56fcb3e95bbd7e50835d9782a45df81cc46949750",
+                "sha256:f0a71d85ecdd570ded8ac3d1c0f480842f49a40beb423bb8014539a9f32a5897",
+                "sha256:f4f270de01dd3e129a72efad823da90cc4d6aafb64c410c9033aba70db9f1ff0",
+                "sha256:f6cb459eea32a4e2cf18ba5fcece2dbdf496384413bc1bae15583f19e567f3b2",
+                "sha256:f8ad8285b01b0d4695102546b342b493b3ccc6781fc28c8c6a1bb63e95d22f09",
+                "sha256:f9f39e2f049db33a908319cf46624a569b36983c7c78318e9726a4cb8923b26c"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==1.4.4"
+        },
+        "matplotlib": {
+            "hashes": [
+                "sha256:01b7f521a9a73c383825813af255f8c4485d1706e4f3e2ed5ae771e4403a40ab",
+                "sha256:11011c97d62c1db7bc20509572557842dbb8c2a2ddd3dd7f20501aa1cde3e54e",
+                "sha256:1183877d008c752d7d535396096c910f4663e4b74a18313adee1213328388e1e",
+                "sha256:12f999661589981e74d793ee2f41b924b3b87d65fd929f6153bf0f30675c59b1",
+                "sha256:1c235bf9be052347373f589e018988cad177abb3f997ab1a2e2210c41562cc0c",
+                "sha256:1f4d69707b1677560cd952544ee4962f68ff07952fb9069ff8c12b56353cb8c9",
+                "sha256:1fcc4cad498533d3c393a160975acc9b36ffa224d15a6b90ae579eacee5d8579",
+                "sha256:2787a16df07370dcba385fe20cdd0cc3cfaabd3c873ddabca78c10514c799721",
+                "sha256:29f17b7f2e068dc346687cbdf80b430580bab42346625821c2d3abf3a1ec5417",
+                "sha256:38d38cb1ea1d80ee0f6351b65c6f76cad6060bbbead015720ba001348ae90f0c",
+                "sha256:3f56a7252eee8f3438447f75f5e1148a1896a2756a92285fe5d73bed6deebff4",
+                "sha256:5223affa21050fb6118353c1380c15e23aedfb436bf3e162c26dc950617a7519",
+                "sha256:57ad1aee29043163374bfa8990e1a2a10ff72c9a1bfaa92e9c46f6ea59269121",
+                "sha256:59400cc9451094b7f08cc3f321972e6e1db4cd37a978d4e8a12824bf7fd2f03b",
+                "sha256:68d94a436f62b8a861bf3ace82067a71bafb724b4e4f9133521e4d8012420dd7",
+                "sha256:6adc441b5b2098a4b904bbf9d9e92fb816fef50c55aa2ea6a823fc89b94bb838",
+                "sha256:6d81b11ede69e3a751424b98dc869c96c10256b2206bfdf41f9c720eee86844c",
+                "sha256:73b93af33634ed919e72811c9703e1105185cd3fb46d76f30b7f4cfbbd063f89",
+                "sha256:77b384cee7ab8cf75ffccbfea351a09b97564fc62d149827a5e864bec81526e5",
+                "sha256:79e501eb847f4a489eb7065bb8d3187117f65a4c02d12ea3a19d6c5bef173bcc",
+                "sha256:809119d1cba3ece3c9742eb01827fe7a0e781ea3c5d89534655a75e07979344f",
+                "sha256:80c166a0e28512e26755f69040e6bf2f946a02ffdb7c00bf6158cca3d2b146e6",
+                "sha256:81b409b2790cf8d7c1ef35920f01676d2ae7afa8241844e7aa5484fdf493a9a0",
+                "sha256:994637e2995b0342699b396a320698b07cd148bbcf2dd2fa2daba73f34dd19f2",
+                "sha256:9ceebaf73f1a3444fa11014f38b9da37ff7ea328d6efa1652241fe3777bfdab9",
+                "sha256:9fb8fb19d03abf3c5dab89a8677e62c4023632f919a62b6dd1d6d2dbf42cd9f5",
+                "sha256:acc3b1a4bddbf56fe461e36fb9ef94c2cb607fc90d24ccc650040bfcc7610de4",
+                "sha256:bbddfeb1495484351fb5b30cf5bdf06b3de0bc4626a707d29e43dfd61af2a780",
+                "sha256:bbf269e1d24bc25247095d71c7a969813f7080e2a7c6fa28931a603f747ab012",
+                "sha256:bebcff4c3ed02c6399d47329f3554193abd824d3d53b5ca02cf583bcd94470e2",
+                "sha256:c3f08df2ac4636249b8bc7a85b8b82c983bef1441595936f62c2918370ca7e1d",
+                "sha256:ca94f0362f6b6f424b555b956971dcb94b12d0368a6c3e07dc7a40d32d6d873d",
+                "sha256:d00c248ab6b92bea3f8148714837937053a083ff03b4c5e30ed37e28fc0e7e56",
+                "sha256:d2cfaa7fd62294d945b8843ea24228a27c8e7c5b48fa634f3c168153b825a21b",
+                "sha256:d5f18430f5cfa5571ab8f4c72c89af52aa0618e864c60028f11a857d62200cba",
+                "sha256:debeab8e2ab07e5e3dac33e12456da79c7e104270d2b2d1df92b9e40347cca75",
+                "sha256:dfba7057609ca9567b9704626756f0142e97ec8c5ba2c70c6e7bd1c25ef99f06",
+                "sha256:e0a64d7cc336b52e90f59e6d638ae847b966f68582a7af041e063d568e814740",
+                "sha256:eb9421c403ffd387fbe729de6d9a03005bf42faba5e8432f4e51e703215b49fc",
+                "sha256:faff486b36530a836a6b4395850322e74211cd81fc17f28b4904e1bd53668e3e",
+                "sha256:ff2aa84e74f80891e6bcf292ebb1dd57714ffbe13177642d65fee25384a30894"
+            ],
+            "index": "pypi",
+            "version": "==3.6.3"
+        },
+        "matplotlib-inline": {
+            "hashes": [
+                "sha256:f1f41aab5328aa5aaea9b16d083b128102f8712542f819fe7e6a420ff581b311",
+                "sha256:f887e5f10ba98e8d2b150ddcf4702c1e5f8b3a20005eb0f74bfdbd360ee6f304"
+            ],
+            "markers": "python_version >= '3.5'",
+            "version": "==0.1.6"
+        },
+        "nest-asyncio": {
+            "hashes": [
+                "sha256:b9a953fb40dceaa587d109609098db21900182b16440652454a146cffb06e8b8",
+                "sha256:d267cc1ff794403f7df692964d1d2a3fa9418ffea2a3f6859a439ff482fef290"
+            ],
+            "markers": "python_version >= '3.5'",
+            "version": "==1.5.6"
+        },
+        "numpy": {
+            "hashes": [
+                "sha256:0044f7d944ee882400890f9ae955220d29b33d809a038923d88e4e01d652acd9",
+                "sha256:0e3463e6ac25313462e04aea3fb8a0a30fb906d5d300f58b3bc2c23da6a15398",
+                "sha256:179a7ef0889ab769cc03573b6217f54c8bd8e16cef80aad369e1e8185f994cd7",
+                "sha256:2386da9a471cc00a1f47845e27d916d5ec5346ae9696e01a8a34760858fe9dd2",
+                "sha256:26089487086f2648944f17adaa1a97ca6aee57f513ba5f1c0b7ebdabbe2b9954",
+                "sha256:28bc9750ae1f75264ee0f10561709b1462d450a4808cd97c013046073ae64ab6",
+                "sha256:28e418681372520c992805bb723e29d69d6b7aa411065f48216d8329d02ba032",
+                "sha256:442feb5e5bada8408e8fcd43f3360b78683ff12a4444670a7d9e9824c1817d36",
+                "sha256:6ec0c021cd9fe732e5bab6401adea5a409214ca5592cd92a114f7067febcba0c",
+                "sha256:7094891dcf79ccc6bc2a1f30428fa5edb1e6fb955411ffff3401fb4ea93780a8",
+                "sha256:84e789a085aabef2f36c0515f45e459f02f570c4b4c4c108ac1179c34d475ed7",
+                "sha256:87a118968fba001b248aac90e502c0b13606721b1343cdaddbc6e552e8dfb56f",
+                "sha256:8e669fbdcdd1e945691079c2cae335f3e3a56554e06bbd45d7609a6cf568c700",
+                "sha256:ad2925567f43643f51255220424c23d204024ed428afc5aad0f86f3ffc080086",
+                "sha256:b0677a52f5d896e84414761531947c7a330d1adc07c3a4372262f25d84af7bf7",
+                "sha256:b07b40f5fb4fa034120a5796288f24c1fe0e0580bbfff99897ba6267af42def2",
+                "sha256:b09804ff570b907da323b3d762e74432fb07955701b17b08ff1b5ebaa8cfe6a9",
+                "sha256:b162ac10ca38850510caf8ea33f89edcb7b0bb0dfa5592d59909419986b72407",
+                "sha256:b31da69ed0c18be8b77bfce48d234e55d040793cebb25398e2a7d84199fbc7e2",
+                "sha256:caf65a396c0d1f9809596be2e444e3bd4190d86d5c1ce21f5fc4be60a3bc5b36",
+                "sha256:cfa1161c6ac8f92dea03d625c2d0c05e084668f4a06568b77a25a89111621566",
+                "sha256:dae46bed2cb79a58d6496ff6d8da1e3b95ba09afeca2e277628171ca99b99db1",
+                "sha256:ddc7ab52b322eb1e40521eb422c4e0a20716c271a306860979d450decbb51b8e",
+                "sha256:de92efa737875329b052982e37bd4371d52cabf469f83e7b8be9bb7752d67e51",
+                "sha256:e274f0f6c7efd0d577744f52032fdd24344f11c5ae668fe8d01aac0422611df1",
+                "sha256:ed5fb71d79e771ec930566fae9c02626b939e37271ec285e9efaf1b5d4370e7d",
+                "sha256:ef85cf1f693c88c1fd229ccd1055570cb41cdf4875873b7728b6301f12cd05bf",
+                "sha256:f1b739841821968798947d3afcefd386fa56da0caf97722a5de53e07c4ccedc7"
+            ],
+            "index": "pypi",
+            "version": "==1.24.1"
+        },
+        "packaging": {
+            "hashes": [
+                "sha256:714ac14496c3e68c99c29b00845f7a2b85f3bb6f1078fd9f72fd20f0570002b2",
+                "sha256:b6ad297f8907de0fa2fe1ccbd26fdaf387f5f47c7275fedf8cce89f99446cf97"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==23.0"
+        },
+        "parso": {
+            "hashes": [
+                "sha256:8c07be290bb59f03588915921e29e8a50002acaf2cdc5fa0e0114f91709fafa0",
+                "sha256:c001d4636cd3aecdaf33cbb40aebb59b094be2a74c556778ef5576c175e19e75"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==0.8.3"
+        },
+        "pickleshare": {
+            "hashes": [
+                "sha256:87683d47965c1da65cdacaf31c8441d12b8044cdec9aca500cd78fc2c683afca",
+                "sha256:9649af414d74d4df115d5d718f82acb59c9d418196b7b4290ed47a12ce62df56"
+            ],
+            "version": "==0.7.5"
+        },
+        "pillow": {
+            "hashes": [
+                "sha256:013016af6b3a12a2f40b704677f8b51f72cb007dac785a9933d5c86a72a7fe33",
+                "sha256:0845adc64fe9886db00f5ab68c4a8cd933ab749a87747555cec1c95acea64b0b",
+                "sha256:0884ba7b515163a1a05440a138adeb722b8a6ae2c2b33aea93ea3118dd3a899e",
+                "sha256:09b89ddc95c248ee788328528e6a2996e09eaccddeeb82a5356e92645733be35",
+                "sha256:0dd4c681b82214b36273c18ca7ee87065a50e013112eea7d78c7a1b89a739153",
+                "sha256:0e51f608da093e5d9038c592b5b575cadc12fd748af1479b5e858045fff955a9",
+                "sha256:0f3269304c1a7ce82f1759c12ce731ef9b6e95b6df829dccd9fe42912cc48569",
+                "sha256:16a8df99701f9095bea8a6c4b3197da105df6f74e6176c5b410bc2df2fd29a57",
+                "sha256:19005a8e58b7c1796bc0167862b1f54a64d3b44ee5d48152b06bb861458bc0f8",
+                "sha256:1b4b4e9dda4f4e4c4e6896f93e84a8f0bcca3b059de9ddf67dac3c334b1195e1",
+                "sha256:28676836c7796805914b76b1837a40f76827ee0d5398f72f7dcc634bae7c6264",
+                "sha256:2968c58feca624bb6c8502f9564dd187d0e1389964898f5e9e1fbc8533169157",
+                "sha256:3f4cc516e0b264c8d4ccd6b6cbc69a07c6d582d8337df79be1e15a5056b258c9",
+                "sha256:3fa1284762aacca6dc97474ee9c16f83990b8eeb6697f2ba17140d54b453e133",
+                "sha256:43521ce2c4b865d385e78579a082b6ad1166ebed2b1a2293c3be1d68dd7ca3b9",
+                "sha256:451f10ef963918e65b8869e17d67db5e2f4ab40e716ee6ce7129b0cde2876eab",
+                "sha256:46c259e87199041583658457372a183636ae8cd56dbf3f0755e0f376a7f9d0e6",
+                "sha256:46f39cab8bbf4a384ba7cb0bc8bae7b7062b6a11cfac1ca4bc144dea90d4a9f5",
+                "sha256:519e14e2c49fcf7616d6d2cfc5c70adae95682ae20f0395e9280db85e8d6c4df",
+                "sha256:53dcb50fbdc3fb2c55431a9b30caeb2f7027fcd2aeb501459464f0214200a503",
+                "sha256:54614444887e0d3043557d9dbc697dbb16cfb5a35d672b7a0fcc1ed0cf1c600b",
+                "sha256:575d8912dca808edd9acd6f7795199332696d3469665ef26163cd090fa1f8bfa",
+                "sha256:5dd5a9c3091a0f414a963d427f920368e2b6a4c2f7527fdd82cde8ef0bc7a327",
+                "sha256:5f532a2ad4d174eb73494e7397988e22bf427f91acc8e6ebf5bb10597b49c493",
+                "sha256:60e7da3a3ad1812c128750fc1bc14a7ceeb8d29f77e0a2356a8fb2aa8925287d",
+                "sha256:653d7fb2df65efefbcbf81ef5fe5e5be931f1ee4332c2893ca638c9b11a409c4",
+                "sha256:6663977496d616b618b6cfa43ec86e479ee62b942e1da76a2c3daa1c75933ef4",
+                "sha256:6abfb51a82e919e3933eb137e17c4ae9c0475a25508ea88993bb59faf82f3b35",
+                "sha256:6c6b1389ed66cdd174d040105123a5a1bc91d0aa7059c7261d20e583b6d8cbd2",
+                "sha256:6d9dfb9959a3b0039ee06c1a1a90dc23bac3b430842dcb97908ddde05870601c",
+                "sha256:765cb54c0b8724a7c12c55146ae4647e0274a839fb6de7bcba841e04298e1011",
+                "sha256:7a21222644ab69ddd9967cfe6f2bb420b460dae4289c9d40ff9a4896e7c35c9a",
+                "sha256:7ac7594397698f77bce84382929747130765f66406dc2cd8b4ab4da68ade4c6e",
+                "sha256:7cfc287da09f9d2a7ec146ee4d72d6ea1342e770d975e49a8621bf54eaa8f30f",
+                "sha256:83125753a60cfc8c412de5896d10a0a405e0bd88d0470ad82e0869ddf0cb3848",
+                "sha256:847b114580c5cc9ebaf216dd8c8dbc6b00a3b7ab0131e173d7120e6deade1f57",
+                "sha256:87708d78a14d56a990fbf4f9cb350b7d89ee8988705e58e39bdf4d82c149210f",
+                "sha256:8a2b5874d17e72dfb80d917213abd55d7e1ed2479f38f001f264f7ce7bae757c",
+                "sha256:8f127e7b028900421cad64f51f75c051b628db17fb00e099eb148761eed598c9",
+                "sha256:94cdff45173b1919350601f82d61365e792895e3c3a3443cf99819e6fbf717a5",
+                "sha256:99d92d148dd03fd19d16175b6d355cc1b01faf80dae93c6c3eb4163709edc0a9",
+                "sha256:9a3049a10261d7f2b6514d35bbb7a4dfc3ece4c4de14ef5876c4b7a23a0e566d",
+                "sha256:9d9a62576b68cd90f7075876f4e8444487db5eeea0e4df3ba298ee38a8d067b0",
+                "sha256:9e5f94742033898bfe84c93c831a6f552bb629448d4072dd312306bab3bd96f1",
+                "sha256:a1c2d7780448eb93fbcc3789bf3916aa5720d942e37945f4056680317f1cd23e",
+                "sha256:a2e0f87144fcbbe54297cae708c5e7f9da21a4646523456b00cc956bd4c65815",
+                "sha256:a4dfdae195335abb4e89cc9762b2edc524f3c6e80d647a9a81bf81e17e3fb6f0",
+                "sha256:a96e6e23f2b79433390273eaf8cc94fec9c6370842e577ab10dabdcc7ea0a66b",
+                "sha256:aabdab8ec1e7ca7f1434d042bf8b1e92056245fb179790dc97ed040361f16bfd",
+                "sha256:b222090c455d6d1a64e6b7bb5f4035c4dff479e22455c9eaa1bdd4c75b52c80c",
+                "sha256:b52ff4f4e002f828ea6483faf4c4e8deea8d743cf801b74910243c58acc6eda3",
+                "sha256:b70756ec9417c34e097f987b4d8c510975216ad26ba6e57ccb53bc758f490dab",
+                "sha256:b8c2f6eb0df979ee99433d8b3f6d193d9590f735cf12274c108bd954e30ca858",
+                "sha256:b9b752ab91e78234941e44abdecc07f1f0d8f51fb62941d32995b8161f68cfe5",
+                "sha256:ba6612b6548220ff5e9df85261bddc811a057b0b465a1226b39bfb8550616aee",
+                "sha256:bd752c5ff1b4a870b7661234694f24b1d2b9076b8bf337321a814c612665f343",
+                "sha256:c3c4ed2ff6760e98d262e0cc9c9a7f7b8a9f61aa4d47c58835cdaf7b0b8811bb",
+                "sha256:c5c1362c14aee73f50143d74389b2c158707b4abce2cb055b7ad37ce60738d47",
+                "sha256:cb362e3b0976dc994857391b776ddaa8c13c28a16f80ac6522c23d5257156bed",
+                "sha256:d197df5489004db87d90b918033edbeee0bd6df3848a204bca3ff0a903bef837",
+                "sha256:d3b56206244dc8711f7e8b7d6cad4663917cd5b2d950799425076681e8766286",
+                "sha256:d5b2f8a31bd43e0f18172d8ac82347c8f37ef3e0b414431157718aa234991b28",
+                "sha256:d7081c084ceb58278dd3cf81f836bc818978c0ccc770cbbb202125ddabec6628",
+                "sha256:db74f5562c09953b2c5f8ec4b7dfd3f5421f31811e97d1dbc0a7c93d6e3a24df",
+                "sha256:df41112ccce5d47770a0c13651479fbcd8793f34232a2dd9faeccb75eb5d0d0d",
+                "sha256:e1339790c083c5a4de48f688b4841f18df839eb3c9584a770cbd818b33e26d5d",
+                "sha256:e621b0246192d3b9cb1dc62c78cfa4c6f6d2ddc0ec207d43c0dedecb914f152a",
+                "sha256:e8c5cf126889a4de385c02a2c3d3aba4b00f70234bfddae82a5eaa3ee6d5e3e6",
+                "sha256:e9d7747847c53a16a729b6ee5e737cf170f7a16611c143d95aa60a109a59c336",
+                "sha256:eaef5d2de3c7e9b21f1e762f289d17b726c2239a42b11e25446abf82b26ac132",
+                "sha256:ed3e4b4e1e6de75fdc16d3259098de7c6571b1a6cc863b1a49e7d3d53e036070",
+                "sha256:ef21af928e807f10bf4141cad4746eee692a0dd3ff56cfb25fce076ec3cc8abe",
+                "sha256:f09598b416ba39a8f489c124447b007fe865f786a89dbfa48bb5cf395693132a",
+                "sha256:f0caf4a5dcf610d96c3bd32932bfac8aee61c96e60481c2a0ea58da435e25acd",
+                "sha256:f6e78171be3fb7941f9910ea15b4b14ec27725865a73c15277bc39f5ca4f8391",
+                "sha256:f715c32e774a60a337b2bb8ad9839b4abf75b267a0f18806f6f4f5f1688c4b5a",
+                "sha256:fb5c1ad6bad98c57482236a21bf985ab0ef42bd51f7ad4e4538e89a997624e12"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==9.4.0"
+        },
+        "platformdirs": {
+            "hashes": [
+                "sha256:83c8f6d04389165de7c9b6f0c682439697887bca0aa2f1c87ef1826be3584490",
+                "sha256:e1fea1fe471b9ff8332e229df3cb7de4f53eeea4998d3b6bfff542115e998bd2"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==2.6.2"
+        },
+        "prompt-toolkit": {
+            "hashes": [
+                "sha256:3e163f254bef5a03b146397d7c1963bd3e2812f0964bb9a24e6ec761fd28db63",
+                "sha256:aa64ad242a462c5ff0363a7b9cfe696c20d55d9fc60c11fd8e632d064804d305"
+            ],
+            "markers": "python_full_version >= '3.6.2'",
+            "version": "==3.0.36"
+        },
+        "psutil": {
+            "hashes": [
+                "sha256:149555f59a69b33f056ba1c4eb22bb7bf24332ce631c44a319cec09f876aaeff",
+                "sha256:16653106f3b59386ffe10e0bad3bb6299e169d5327d3f187614b1cb8f24cf2e1",
+                "sha256:3d7f9739eb435d4b1338944abe23f49584bde5395f27487d2ee25ad9a8774a62",
+                "sha256:3ff89f9b835100a825b14c2808a106b6fdcc4b15483141482a12c725e7f78549",
+                "sha256:54c0d3d8e0078b7666984e11b12b88af2db11d11249a8ac8920dd5ef68a66e08",
+                "sha256:54d5b184728298f2ca8567bf83c422b706200bcbbfafdc06718264f9393cfeb7",
+                "sha256:6001c809253a29599bc0dfd5179d9f8a5779f9dffea1da0f13c53ee568115e1e",
+                "sha256:68908971daf802203f3d37e78d3f8831b6d1014864d7a85937941bb35f09aefe",
+                "sha256:6b92c532979bafc2df23ddc785ed116fced1f492ad90a6830cf24f4d1ea27d24",
+                "sha256:852dd5d9f8a47169fe62fd4a971aa07859476c2ba22c2254d4a1baa4e10b95ad",
+                "sha256:9120cd39dca5c5e1c54b59a41d205023d436799b1c8c4d3ff71af18535728e94",
+                "sha256:c1ca331af862803a42677c120aff8a814a804e09832f166f226bfd22b56feee8",
+                "sha256:efeae04f9516907be44904cc7ce08defb6b665128992a56957abc9b61dca94b7",
+                "sha256:fd8522436a6ada7b4aad6638662966de0d61d241cb821239b2ae7013d41a43d4"
+            ],
+            "markers": "python_version >= '2.7' and python_version not in '3.0, 3.1, 3.2, 3.3'",
+            "version": "==5.9.4"
+        },
+        "pure-eval": {
+            "hashes": [
+                "sha256:01eaab343580944bc56080ebe0a674b39ec44a945e6d09ba7db3cb8cec289350",
+                "sha256:2b45320af6dfaa1750f543d714b6d1c520a1688dec6fd24d339063ce0aaa9ac3"
+            ],
+            "version": "==0.2.2"
+        },
+        "pygments": {
+            "hashes": [
+                "sha256:b3ed06a9e8ac9a9aae5a6f5dbe78a8a58655d17b43b93c078f094ddc476ae297",
+                "sha256:fa7bd7bd2771287c0de303af8bfdfc731f51bd2c6a47ab69d117138893b82717"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==2.14.0"
+        },
+        "pyparsing": {
+            "hashes": [
+                "sha256:2b020ecf7d21b687f219b71ecad3631f644a47f01403fa1d1036b0c6416d70fb",
+                "sha256:5026bae9a10eeaefb61dab2f09052b9f4307d44aee4eda64b309723d8d206bbc"
+            ],
+            "markers": "python_full_version >= '3.6.8'",
+            "version": "==3.0.9"
+        },
+        "python-dateutil": {
+            "hashes": [
+                "sha256:0123cacc1627ae19ddf3c27a5de5bd67ee4586fbdd6440d9748f8abb483d3e86",
+                "sha256:961d03dc3453ebbc59dbdea9e4e11c5651520a876d0f4db161e8674aae935da9"
+            ],
+            "markers": "python_version >= '2.7' and python_version not in '3.0, 3.1, 3.2, 3.3'",
+            "version": "==2.8.2"
+        },
+        "pywin32": {
+            "hashes": [
+                "sha256:109f98980bfb27e78f4df8a51a8198e10b0f347257d1e265bb1a32993d0c973d",
+                "sha256:13362cc5aa93c2beaf489c9c9017c793722aeb56d3e5166dadd5ef82da021fe1",
+                "sha256:19ca459cd2e66c0e2cc9a09d589f71d827f26d47fe4a9d09175f6aa0256b51c2",
+                "sha256:326f42ab4cfff56e77e3e595aeaf6c216712bbdd91e464d167c6434b28d65990",
+                "sha256:421f6cd86e84bbb696d54563c48014b12a23ef95a14e0bdba526be756d89f116",
+                "sha256:48d8b1659284f3c17b68587af047d110d8c44837736b8932c034091683e05863",
+                "sha256:4ecd404b2c6eceaca52f8b2e3e91b2187850a1ad3f8b746d0796a98b4cea04db",
+                "sha256:50768c6b7c3f0b38b7fb14dd4104da93ebced5f1a50dc0e834594bff6fbe1271",
+                "sha256:56d7a9c6e1a6835f521788f53b5af7912090674bb84ef5611663ee1595860fc7",
+                "sha256:73e819c6bed89f44ff1d690498c0a811948f73777e5f97c494c152b850fad478",
+                "sha256:742eb905ce2187133a29365b428e6c3b9001d79accdc30aa8969afba1d8470f4",
+                "sha256:9d968c677ac4d5cbdaa62fd3014ab241718e619d8e36ef8e11fb930515a1e918",
+                "sha256:9dd98384da775afa009bc04863426cb30596fd78c6f8e4e2e5bbf4edf8029504",
+                "sha256:a55db448124d1c1484df22fa8bbcbc45c64da5e6eae74ab095b9ea62e6d00496"
+            ],
+            "markers": "sys_platform == 'win32' and platform_python_implementation != 'PyPy'",
+            "version": "==305"
+        },
+        "pyzmq": {
+            "hashes": [
+                "sha256:00c94fd4c9dd3c95aace0c629a7fa713627a5c80c1819326b642adf6c4b8e2a2",
+                "sha256:01d53958c787cfea34091fcb8ef36003dbb7913b8e9f8f62a0715234ebc98b70",
+                "sha256:0282bba9aee6e0346aa27d6c69b5f7df72b5a964c91958fc9e0c62dcae5fdcdc",
+                "sha256:02f5cb60a7da1edd5591a15efa654ffe2303297a41e1b40c3c8942f8f11fc17c",
+                "sha256:0645b5a2d2a06fd8eb738018490c514907f7488bf9359c6ee9d92f62e844b76f",
+                "sha256:0a154ef810d44f9d28868be04641f837374a64e7449df98d9208e76c260c7ef1",
+                "sha256:0a90b2480a26aef7c13cff18703ba8d68e181facb40f78873df79e6d42c1facc",
+                "sha256:0e8d00228db627ddd1b418c7afd81820b38575f237128c9650365f2dd6ac3443",
+                "sha256:17e1cb97d573ea84d7cd97188b42ca6f611ab3ee600f6a75041294ede58e3d20",
+                "sha256:183e18742be3621acf8908903f689ec520aee3f08449bfd29f583010ca33022b",
+                "sha256:1f6116991568aac48b94d6d8aaed6157d407942ea385335a6ed313692777fb9d",
+                "sha256:20638121b0bdc80777ce0ec8c1f14f1ffec0697a1f88f0b564fa4a23078791c4",
+                "sha256:2754fa68da08a854f4816e05160137fa938a2347276471103d31e04bcee5365c",
+                "sha256:28bcb2e66224a7ac2843eb632e4109d6b161479e7a2baf24e37210461485b4f1",
+                "sha256:293a7c2128690f496057f1f1eb6074f8746058d13588389981089ec45d8fdc77",
+                "sha256:2a73af6504e0d2805e926abf136ebf536735a13c22f709be7113c2ec65b4bec3",
+                "sha256:2d05d904f03ddf1e0d83d97341354dfe52244a619b5a1440a5f47a5b3451e84e",
+                "sha256:2e7b87638ee30ab13230e37ce5331b3e730b1e0dda30120b9eeec3540ed292c8",
+                "sha256:3100dddcada66ec5940ed6391ebf9d003cc3ede3d320748b2737553019f58230",
+                "sha256:31e523d067ce44a04e876bed3ff9ea1ff8d1b6636d16e5fcace9d22f8c564369",
+                "sha256:3594c0ff604e685d7e907860b61d0e10e46c74a9ffca168f6e9e50ea934ee440",
+                "sha256:3670e8c5644768f214a3b598fe46378a4a6f096d5fb82a67dfd3440028460565",
+                "sha256:4046d03100aca266e70d54a35694cb35d6654cfbef633e848b3c4a8d64b9d187",
+                "sha256:4725412e27612f0d7d7c2f794d89807ad0227c2fc01dd6146b39ada49c748ef9",
+                "sha256:484c2c4ee02c1edc07039f42130bd16e804b1fe81c4f428e0042e03967f40c20",
+                "sha256:487305c2a011fdcf3db1f24e8814bb76d23bc4d2f46e145bc80316a59a9aa07d",
+                "sha256:4a1bc30f0c18444d51e9b0d0dd39e3a4e7c53ee74190bebef238cd58de577ea9",
+                "sha256:4c25c95416133942280faaf068d0fddfd642b927fb28aaf4ab201a738e597c1e",
+                "sha256:4cbb885f347eba7ab7681c450dee5b14aed9f153eec224ec0c3f299273d9241f",
+                "sha256:4d3d604fe0a67afd1aff906e54da557a5203368a99dcc50a70eef374f1d2abef",
+                "sha256:4e295f7928a31ae0f657e848c5045ba6d693fe8921205f408ca3804b1b236968",
+                "sha256:5049e75cc99db65754a3da5f079230fb8889230cf09462ec972d884d1704a3ed",
+                "sha256:5050f5c50b58a6e38ccaf9263a356f74ef1040f5ca4030225d1cb1a858c5b7b6",
+                "sha256:526f884a27e8bba62fe1f4e07c62be2cfe492b6d432a8fdc4210397f8cf15331",
+                "sha256:531866c491aee5a1e967c286cfa470dffac1e2a203b1afda52d62b58782651e9",
+                "sha256:5605621f2181f20b71f13f698944deb26a0a71af4aaf435b34dd90146092d530",
+                "sha256:58fc3ad5e1cfd2e6d24741fbb1e216b388115d31b0ca6670f894187f280b6ba6",
+                "sha256:60ecbfe7669d3808ffa8a7dd1487d6eb8a4015b07235e3b723d4b2a2d4de7203",
+                "sha256:610d2d112acd4e5501fac31010064a6c6efd716ceb968e443cae0059eb7b86de",
+                "sha256:6136bfb0e5a9cf8c60c6ac763eb21f82940a77e6758ea53516c8c7074f4ff948",
+                "sha256:62b9e80890c0d2408eb42d5d7e1fc62a5ce71be3288684788f74cf3e59ffd6e2",
+                "sha256:656281d496aaf9ca4fd4cea84e6d893e3361057c4707bd38618f7e811759103c",
+                "sha256:66509c48f7446b640eeae24b60c9c1461799a27b1b0754e438582e36b5af3315",
+                "sha256:6bf3842af37af43fa953e96074ebbb5315f6a297198f805d019d788a1021dbc8",
+                "sha256:731b208bc9412deeb553c9519dca47136b5a01ca66667cafd8733211941b17e4",
+                "sha256:75243e422e85a62f0ab7953dc315452a56b2c6a7e7d1a3c3109ac3cc57ed6b47",
+                "sha256:7877264aa851c19404b1bb9dbe6eed21ea0c13698be1eda3784aab3036d1c861",
+                "sha256:81f99fb1224d36eb91557afec8cdc2264e856f3464500b55749020ce4c848ef2",
+                "sha256:8539216173135e9e89f6b1cc392e74e6b935b91e8c76106cf50e7a02ab02efe5",
+                "sha256:85456f0d8f3268eecd63dede3b99d5bd8d3b306310c37d4c15141111d22baeaf",
+                "sha256:866eabf7c1315ef2e93e34230db7cbf672e0d7c626b37c11f7e870c8612c3dcc",
+                "sha256:926236ca003aec70574754f39703528947211a406f5c6c8b3e50eca04a9e87fc",
+                "sha256:930e6ad4f2eaac31a3d0c2130619d25db754b267487ebc186c6ad18af2a74018",
+                "sha256:94f0a7289d0f5c80807c37ebb404205e7deb737e8763eb176f4770839ee2a287",
+                "sha256:9a2d5e419bd39a1edb6cdd326d831f0120ddb9b1ff397e7d73541bf393294973",
+                "sha256:9ca6db34b26c4d3e9b0728841ec9aa39484eee272caa97972ec8c8e231b20c7e",
+                "sha256:9f72ea279b2941a5203e935a4588b9ba8a48aeb9a926d9dfa1986278bd362cb8",
+                "sha256:a0e7ef9ac807db50b4eb6f534c5dcc22f998f5dae920cc28873d2c1d080a4fc9",
+                "sha256:a1cd4a95f176cdc0ee0a82d49d5830f13ae6015d89decbf834c273bc33eeb3d3",
+                "sha256:a9c464cc508177c09a5a6122b67f978f20e2954a21362bf095a0da4647e3e908",
+                "sha256:ac97e7d647d5519bcef48dd8d3d331f72975afa5c4496c95f6e854686f45e2d9",
+                "sha256:af1fbfb7ad6ac0009ccee33c90a1d303431c7fb594335eb97760988727a37577",
+                "sha256:b055a1cddf8035966ad13aa51edae5dc8f1bba0b5d5e06f7a843d8b83dc9b66b",
+                "sha256:b6f75b4b8574f3a8a0d6b4b52606fc75b82cb4391471be48ab0b8677c82f9ed4",
+                "sha256:b90bb8dfbbd138558f1f284fecfe328f7653616ff9a972433a00711d9475d1a9",
+                "sha256:be05504af0619d1cffa500af1e0ede69fb683f301003851f5993b5247cc2c576",
+                "sha256:c21a5f4e54a807df5afdef52b6d24ec1580153a6bcf0607f70a6e1d9fa74c5c3",
+                "sha256:c48f257da280b3be6c94e05bd575eddb1373419dbb1a72c3ce64e88f29d1cd6d",
+                "sha256:cac602e02341eaaf4edfd3e29bd3fdef672e61d4e6dfe5c1d065172aee00acee",
+                "sha256:ccb3e1a863222afdbda42b7ca8ac8569959593d7abd44f5a709177d6fa27d266",
+                "sha256:e1081d7030a1229c8ff90120346fb7599b54f552e98fcea5170544e7c6725aab",
+                "sha256:e14df47c1265356715d3d66e90282a645ebc077b70b3806cf47efcb7d1d630cb",
+                "sha256:e4bba04ea779a3d7ef25a821bb63fd0939142c88e7813e5bd9c6265a20c523a2",
+                "sha256:e99629a976809fe102ef73e856cf4b2660acd82a412a51e80ba2215e523dfd0a",
+                "sha256:f330a1a2c7f89fd4b0aa4dcb7bf50243bf1c8da9a2f1efc31daf57a2046b31f2",
+                "sha256:f3f96d452e9580cb961ece2e5a788e64abaecb1232a80e61deffb28e105ff84a",
+                "sha256:fc7c1421c5b1c916acf3128bf3cc7ea7f5018b58c69a6866d70c14190e600ce9"
+            ],
+            "markers": "python_version >= '3.6'",
+            "version": "==25.0.0"
+        },
+        "scipy": {
+            "hashes": [
+                "sha256:0490dc499fe23e4be35b8b6dd1e60a4a34f0c4adb30ac671e6332446b3cbbb5a",
+                "sha256:0ab2a58064836632e2cec31ca197d3695c86b066bc4818052b3f5381bfd2a728",
+                "sha256:151f066fe7d6653c3ffefd489497b8fa66d7316e3e0d0c0f7ff6acca1b802809",
+                "sha256:16ba05d3d1b9f2141004f3f36888e05894a525960b07f4c2bfc0456b955a00be",
+                "sha256:27e548276b5a88b51212b61f6dda49a24acf5d770dff940bd372b3f7ced8c6c2",
+                "sha256:2ad449db4e0820e4b42baccefc98ec772ad7818dcbc9e28b85aa05a536b0f1a2",
+                "sha256:2f9ea0a37aca111a407cb98aa4e8dfde6e5d9333bae06dfa5d938d14c80bb5c3",
+                "sha256:38bfbd18dcc69eeb589811e77fae552fa923067fdfbb2e171c9eac749885f210",
+                "sha256:3afcbddb4488ac950ce1147e7580178b333a29cd43524c689b2e3543a080a2c8",
+                "sha256:42ab8b9e7dc1ebe248e55f54eea5307b6ab15011a7883367af48dd781d1312e4",
+                "sha256:441cab2166607c82e6d7a8683779cb89ba0f475b983c7e4ab88f3668e268c143",
+                "sha256:4bd0e3278126bc882d10414436e58fa3f1eca0aa88b534fcbf80ed47e854f46c",
+                "sha256:4df25a28bd22c990b22129d3c637fd5c3be4b7c94f975dca909d8bab3309b694",
+                "sha256:5cd7a30970c29d9768a7164f564d1fbf2842bfc77b7d114a99bc32703ce0bf48",
+                "sha256:6e4497e5142f325a5423ff5fda2fff5b5d953da028637ff7c704378c8c284ea7",
+                "sha256:6faf86ef7717891195ae0537e48da7524d30bc3b828b30c9b115d04ea42f076f",
+                "sha256:954ff69d2d1bf666b794c1d7216e0a746c9d9289096a64ab3355a17c7c59db54",
+                "sha256:9b878c671655864af59c108c20e4da1e796154bd78c0ed6bb02bc41c84625686",
+                "sha256:b901b423c91281a974f6cd1c36f5c6c523e665b5a6d5e80fcb2334e14670eefd",
+                "sha256:c8b3cbc636a87a89b770c6afc999baa6bcbb01691b5ccbbc1b1791c7c0a07540",
+                "sha256:e096b062d2efdea57f972d232358cb068413dc54eec4f24158bcbb5cb8bddfd8"
+            ],
+            "index": "pypi",
+            "version": "==1.10.0"
+        },
+        "six": {
+            "hashes": [
+                "sha256:1e61c37477a1626458e36f7b1d82aa5c9b094fa4802892072e49de9c60c4c926",
+                "sha256:8abb2f1d86890a2dfb989f9a77cfcfd3e47c2a354b01111771326f8aa26e0254"
+            ],
+            "markers": "python_version >= '2.7' and python_version not in '3.0, 3.1, 3.2, 3.3'",
+            "version": "==1.16.0"
+        },
+        "stack-data": {
+            "hashes": [
+                "sha256:32d2dd0376772d01b6cb9fc996f3c8b57a357089dec328ed4b6553d037eaf815",
+                "sha256:cbb2a53eb64e5785878201a97ed7c7b94883f48b87bfb0bbe8b623c74679e4a8"
+            ],
+            "version": "==0.6.2"
+        },
+        "tornado": {
+            "hashes": [
+                "sha256:1d54d13ab8414ed44de07efecb97d4ef7c39f7438cf5e976ccd356bebb1b5fca",
+                "sha256:20f638fd8cc85f3cbae3c732326e96addff0a15e22d80f049e00121651e82e72",
+                "sha256:5c87076709343557ef8032934ce5f637dbb552efa7b21d08e89ae7619ed0eb23",
+                "sha256:5f8c52d219d4995388119af7ccaa0bcec289535747620116a58d830e7c25d8a8",
+                "sha256:6fdfabffd8dfcb6cf887428849d30cf19a3ea34c2c248461e1f7d718ad30b66b",
+                "sha256:87dcafae3e884462f90c90ecc200defe5e580a7fbbb4365eda7c7c1eb809ebc9",
+                "sha256:9b630419bde84ec666bfd7ea0a4cb2a8a651c2d5cccdbdd1972a0c859dfc3c13",
+                "sha256:b8150f721c101abdef99073bf66d3903e292d851bee51910839831caba341a75",
+                "sha256:ba09ef14ca9893954244fd872798b4ccb2367c165946ce2dd7376aebdde8e3ac",
+                "sha256:d3a2f5999215a3a06a4fc218026cd84c61b8b2b40ac5296a6db1f1451ef04c1e",
+                "sha256:e5f923aa6a47e133d1cf87d60700889d7eae68988704e20c75fb2d65677a8e4b"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==6.2"
+        },
+        "traitlets": {
+            "hashes": [
+                "sha256:32500888f5ff7bbf3b9267ea31748fa657aaf34d56d85e60f91dda7dc7f5785b",
+                "sha256:a1ca5df6414f8b5760f7c5f256e326ee21b581742114545b462b35ffe3f04861"
+            ],
+            "markers": "python_version >= '3.7'",
+            "version": "==5.8.1"
+        },
+        "wcwidth": {
+            "hashes": [
+                "sha256:795b138f6875577cd91bba52baf9e445cd5118fd32723b460e30a0af30ea230e",
+                "sha256:a5220780a404dbe3353789870978e472cfe477761f06ee55077256e509b156d0"
+            ],
+            "version": "==0.2.6"
+        }
+    },
+    "develop": {}
+}