microsoft/calculator — reverse-engineered prompt

Build me a modern Windows Calculator style app that feels clean, fast, and familiar. I want it to handle normal everyday math right away as I type, plus a scientific mode with proper order of operations and advanced functions.

Please include a programmer mode for people who need binary, decimal, hex, and common developer calculations. Add date calculation too, like finding the difference between two dates or adding days, months, and years to a date.

I also want history and memory buttons, so users can reuse previous answers. Include unit converters for common measurements, and a currency converter that can use mock data in development but is easy to connect to real data later. Basic arithmetic should avoid rounding errors as much as possible, even for very large numbers.

Make it look and behave like a polished Windows app, with clear navigation between modes, responsive layout, keyboard support, and a simple build and run setup. Look up current Windows app docs online if you need to.