docs: add comprehensive educational content for algorithm design and analysis

[Aarush-Pradhan]

Related Issue

Fixes #84

Description

This PR adds Algorithm Design and Analysis (ADA) notes under the Sem 5 ADA module.
It includes structured chapter-wise documentation with beginner-friendly explanations for core DSA concepts such as:

• Introduction to Algorithms
• Time and Space Complexity
• Searching and Sorting Algorithms
• Divide and Conquer Technique

The content is integrated into the existing Next.js documentation structure and follows the project’s modular chapter-based design.

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Type of Change

• Bug fix
• New feature
• Documentation update
• UI/UX improvement
• Refactor

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Screenshots / Demo

UI shows ADA course page with chapter-wise navigation working correctly.

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How Has This Been Tested?

• Verified locally using npm run dev
• Tested chapter navigation (Previous/Next buttons)
• Checked routing consistency under /sem5/ada2/[chapter]
• Ensured all chapter content renders properly without “Notes not found” errors

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Checklist

• My code follows the project structure and conventions
• I have tested the changes locally
• I have linked the related issue properly
• I have added screenshots where applicable
• No existing functionality was broken

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AI Usage

• I have used AI tools (ChatGPT, Copilot, Claude, etc.) and I have reviewed, verified, and understood all generated code/content before submitting this PR

If AI tools were used, briefly explain how:

Used ChatGPT for debugging routing issues in Next.js, fixing chapter navigation links.

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Additional Notes

This PR improves the ADA documentation module and ensures proper routing consistency across all chapters.

[vercel]

@Aarush-Pradhan is attempting to deploy a commit to the PushkarScripts Team on Vercel.

A member of the Team first needs to authorize it.

[pushkarscripts]

Since this PR is for ADA subject only, remove this file from the commit as its unrelated.

[Aarush-Pradhan]

I have updated the code from your main branch, so all the changes which i had made should be reverted into the code that is now in the main branch of your repo. If any further changes are required, feel free to let me know.

[pushkarscripts]

Make the necessary changes and update the PR.

[vercel]

Deployment failed with the following error:

The provided GitHub repository does not contain the requested branch or commit reference. Please ensure the repository is not empty.

[Aarush-Pradhan]

hey @pushkarscripts I've forcefully reset the sidebar.tsx file directly from the upstream main branch to completely remove those accidental changes.

The PR should now cleanly show only the documentation for the ADA subject. Let me know if everything looks good on your end now!