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feat(routesF): currency denomination breakdown #895

Description

@davedumto

Summary

Break an amount into the fewest bills/coins for a currency.

Requirements

  • POST { amount, currency?: USD }
  • Bundle denomination tables (USD, EUR, NGN) inside folder
  • Return { breakdown: [{ denomination, count }], total_pieces }
  • Cent precision
  • Tests verify minimal-piece breakdown

Scope Constraint - READ BEFORE STARTING

All files for this task must live inside app/api/routesF/. This includes the route handler, helpers/utilities, types, and tests. Do NOT modify, import from, or add files to lib/, utils/, types/, components/, or anywhere else outside app/api/routesF/. If you need shared logic, duplicate it inside your subfolder. Keeping everything scoped to this folder is intentional - it keeps these tasks independent and mergeable in any order.

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