Expense Splitter App

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1. 1. Project Setup

   Create a Next.js PWA for an Expense Splitter app.
   
   Features:
   - Landing page with "Start a Group" CTA
   - Create group: name, invite link generation
   - Group dashboard: members, expenses list, balance summary
   - Add expense modal: amount, description, who paid, split type (equal/exact/percentage)
   - Each member sees their balance (owed/owing)
   
   Use Supabase auth (magic link for easy onboarding) and database. Make it installable as PWA for mobile.

2. 2. Core Feature

   Implement the settlement optimization algorithm:
   
   1. Calculate net balance for each person (total paid - total owed)
   2. People with positive balance are owed money; negative balance owe money
   3. Implement minimum transaction algorithm:
      - Sort creditors and debtors
      - Match largest debtor with largest creditor
      - Settle minimum of both amounts
      - Repeat until all settled
   4. Display settlement plan: "Alice pays Bob $50" etc.
   
   This minimizes total number of transactions needed.

3. 3. Payment Integration

   Add payment links for settlement:
   
   - Generate Venmo deep links: venmo://paycharge?txn=pay&recipients={username}&amount={amount}¬e={description}
   - Generate PayPal.me links: paypal.me/{username}/{amount}
   - Add "Mark as Paid" button to manually record settlements
   - Send push notification when someone marks payment complete
   - Keep history of all settlements
   
   Allow users to save their Venmo/PayPal username in settings.