From e0349cbfa5950245b5732353cf42d9f4dac8c888 Mon Sep 17 00:00:00 2001
From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com>
Date: Sun, 13 Sep 2026 11:51:29 +0000
Subject: [PATCH 1/6] Initial plan


From aadfe1a72078830179e7988f79e7ea42b499385f Mon Sep 17 00:00:00 2001
From: "copilot-swe-agent[bot]" <198982749+Copilot@users.noreply.github.com>
Date: Sun, 13 Sep 2026 11:53:51 +0000
Subject: [PATCH 2/6] fix: render Sphinx toctree on docs homepage

Co-authored-by: cclauss <3709715+cclauss@users.noreply.github.com>
---
 index.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/index.md b/index.md
index 0845a2aaa7d0..cff7c8e11752 100644
--- a/index.md
+++ b/index.md
@@ -1,6 +1,6 @@
 # TheAlgorithms/Python
 
-```text {toctree}
+```{toctree}
 :maxdepth: 2
 :caption: index.md
 

From 3700761c113cc4281017d7261c5b87d636f0464b Mon Sep 17 00:00:00 2001
From: Copilot <Copilot@users.noreply.github.com>
Date: Sun, 13 Sep 2026 11:54:13 +0000
Subject: [PATCH 3/6] updating DIRECTORY.md

---
 DIRECTORY.md | 1 +
 1 file changed, 1 insertion(+)

diff --git a/DIRECTORY.md b/DIRECTORY.md
index d2b0cf8fd16f..4906c4efd9df 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -752,6 +752,7 @@
   * [Decimal Isolate](maths/decimal_isolate.py)
   * [Decimal To Fraction](maths/decimal_to_fraction.py)
   * [Derangement](maths/derangement.py)
+  * [Digital Root](maths/digital_root.py)
   * [Dodecahedron](maths/dodecahedron.py)
   * [Double Factorial](maths/double_factorial.py)
   * [Dual Number Automatic Differentiation](maths/dual_number_automatic_differentiation.py)

From b5e490843faa4a0eb78c679c74fb1eb2f3dfc5e3 Mon Sep 17 00:00:00 2001
From: Christian Clauss <cclauss@me.com>
Date: Sun, 13 Sep 2026 15:15:19 +0200
Subject: [PATCH 4/6] tool.rumdl.per-file-ignores."index.md" = ["MD040"]

---
 pyproject.toml | 1 +
 1 file changed, 1 insertion(+)

diff --git a/pyproject.toml b/pyproject.toml
index 35a8473574b6..4e47462dfe70 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -242,3 +242,4 @@ disable = [
 exclude = [ "DIRECTORY.md", "docs/hacktober_2026_prep.md" ]
 flavor = "gfm"
 line-length = 350
+per-file-ignores."index.md" = ["MD040"]

From 71684901f26882e9e2648b4c2e9ad79e47fbd8cf Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Sun, 13 Sep 2026 13:15:31 +0000
Subject: [PATCH 5/6] [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci
---
 pyproject.toml | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/pyproject.toml b/pyproject.toml
index 4e47462dfe70..3ce2597d22f4 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -242,4 +242,4 @@ disable = [
 exclude = [ "DIRECTORY.md", "docs/hacktober_2026_prep.md" ]
 flavor = "gfm"
 line-length = 350
-per-file-ignores."index.md" = ["MD040"]
+per-file-ignores."index.md" = [ "MD040" ]

From 9e505219cdba3dc6e8d6c7d7cafb433ef5be7d6e Mon Sep 17 00:00:00 2001
From: Christian Clauss <cclauss@me.com>
Date: Sun, 13 Sep 2026 15:30:31 +0200
Subject: [PATCH 6/6] Fix comment formatting in index.md

---
 index.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/index.md b/index.md
index cff7c8e11752..e67a7224740e 100644
--- a/index.md
+++ b/index.md
@@ -1,10 +1,10 @@
 # TheAlgorithms/Python
 
+<!-- CONTRIBUTING.md must be the FIRST doc, and README.md can come after. -->
 ```{toctree}
 :maxdepth: 2
 :caption: index.md
 
-<!-- CONTRIBUTING.md must be the FIRST doc and README.md can come after. -->
 CONTRIBUTING.md
 README.md
 LICENSE.md