Posts

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Add files to a new Git Repository

Navigate to the location of the files to add:

git init

Add the remote repository:

git remote add origin <your-git-repo-url>

Note: If your Git repository already has files (like a README), you might need to pull first:

git pull origin master --allow-unrelated-histories

Then you can add and push your changes.

Add all existing files:

git add .

Create your first commit:

git commit -m "Initial commit"

Push to the remote repository:

git push -u origin master
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Phone Pouch

Ali Express

Casual Handbag Men Chest Bag Mens Shoulder Body Pack Oxford Fashion Man Side Sling Crossbody Bag for Male 2024 Travel Phone Bags

EC6610-Black

https://www.aliexpress.us/item/3256806428808691.html?spm=a2g0o.imagesearchproductlist.main.1.2746vpqzvpqzfE&pdp_npi=4%40dis%21USD%2124.71%2111.61%21%21%21180.64%2184.90%21%402103247017369720186666817e3e3c%2112000037828886485%21sea%21US%210%21ABX&curPageLogUid=XsDrW4gm0alV&utparam-url=scene%3Aimage_search%7Cquery_from%3Apc_web_image_search&_gl=1*12wt7tq*_gcl_au*ODY4NTgwMDY5LjE3MzY5NzE5NDk.*_ga*MTI1MzkwMDE1Ny4xNzM2OTcxOTUw*_ga_VED1YSGNC7*MTczNjk3MTk0OS4xLjEuMTczNjk3MjU4Ni40LjAuMA..&gatewayAdapt=4itemAdapt

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Cursor ARM Installation on Ubuntu

Use the following for installation of Cursor on ARM

curl -fsSL https://downloads.cursor.com/keys/anysphere.asc | gpg --dearmor | sudo tee /etc/apt/keyrings/cursor.gpg > /dev/null

echo "deb [arch=amd64,arm64 signed-by=/etc/apt/keyrings/cursor.gpg] https://downloads.cursor.com/aptrepo stable main" | sudo tee /etc/apt/sources.list.d/cursor.list > /dev/null

sudo apt update

sudo apt install cursor
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Download a HAR file with Brave

If you want to capture everything include passwords and parms, you need to turn on this feature because by default it sanitizes the HAR file.

Click (1) for settings

Make sure (2) is checked

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Using Cursor from Terminal CLI

Installation

Install the Cursor CLI by running:

curl https://cursor.com/install -fsS | bash

Usage Modes

1. Interactive Mode

Start an interactive session with the Cursor Agent:

cursor-agent

This opens a conversational interface where you can describe your coding tasks, review proposed changes, and approve commands.

2. Non-Interactive Mode

For scripting or automation purposes, use the non-interactive mode:

cursor-agent -p "Your prompt here"

Replace "Your prompt here" with your specific instruction. This mode is suitable for integrating Cursor into scripts, CI pipelines, or other automated workflows.

3. Shell Mode

Cursor CLI includes a Shell Mode that allows you to execute shell commands directly:

cursor-agent shell

In this mode, you can run quick, non-interactive commands without leaving your conversation. Note that commands timeout after 30 seconds, and long-running processes or interactive prompts are not supported.

Managing Sessions

Resume a Previous Conversation

cursor-agent resume

List All Previous Chats

cursor-agent ls

These commands help maintain context across multiple interactions.

Security

Before executing terminal commands, the CLI will prompt you for approval. Ensure you review and approve commands to maintain security.

Resources

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Digit Puzzle Solver

Problem Statement

Find all solutions where:

  • A 2-digit number multiplied by a 3-digit number equals a 5-digit number
  • All digits 0-9 are used exactly once across all three numbers
  • The first digit of the 5-digit result is 1

Solutions Found

The solver found 6 valid solutions:

Solution 2-digit 3-digit 5-digit Result Verification
1 27 594 16038 27 × 594 = 16038
2 36 495 17820 36 × 495 = 17820
3 39 402 15678 39 × 402 = 15678
4 45 396 17820 45 × 396 = 17820
5 52 367 19084 52 × 367 = 19084
6 54 297 16038 54 × 297 = 16038

Verification

Each solution satisfies all constraints:

Constraint 1: Correct Multiplication

All multiplications are verified to produce the correct 5-digit result.

Constraint 2: Unique Digits (0-9)

Each solution uses all digits 0-9 exactly once across the three numbers:

Example - Solution 1 (27 × 594 = 16038):

  • Digits used: 2, 7, 5, 9, 4, 1, 6, 0, 3, 8
  • All digits 0-9 present: ✅

Constraint 3: 5-digit Result Starting with 1

All results are 5-digit numbers in the range 15,000-19,999:

  • 16038 ✅
  • 17820 ✅
  • 15678 ✅
  • 19084 ✅

Key Observations

Multiple Solutions

  • The puzzle has 6 valid solutions, not just one
  • This demonstrates the richness of the constraint space

Duplicate Results

  • 16038 appears twice (solutions 1 and 6)
  • 17820 appears twice (solutions 2 and 4)
  • This shows different factor pairs can produce the same result

Range Analysis

  • 2-digit numbers: Range from 27 to 54
  • 3-digit numbers: Range from 297 to 594
  • 5-digit results: Range from 15,678 to 19,084

Mathematical Properties

  • All 5-digit results are in the 15,000-19,000 range
  • The smallest 2-digit number used is 27
  • The largest 2-digit number used is 54
  • Results are well-distributed across the valid range

Algorithm

The solver uses a brute-force approach:

  1. Iterate through all 2-digit numbers (10-99)
  2. Iterate through all 3-digit numbers (100-999)
  3. Calculate the product
  4. Check if product is 5-digit and starts with 1
  5. Verify all digits 0-9 are used exactly once
  6. Collect valid solutions

Files

  • solve_puzzle.py - Main solver program
  • PUZZLE.md - This documentation

Running the Solver

solve_puzzle-py.txt

python3 solve_puzzle.py

Conclusion

The conjecture that the first digit of the 5-digit number is 1 was correct. The puzzle has multiple valid solutions, each demonstrating the elegant constraint satisfaction where all digits 0-9 are used exactly once across the multiplication problem.