Merchant and Payment Command Processor

Part 1: Basic Command Processing

Problem Description

You are given a list of commands to simulate a basic merchant and payment system. Each command is a string containing keywords and parameters separated by spaces. You must maintain a mapping of merchants and their balances, as well as a record of payments.

Each command can be one of the following:

• INIT merchant_id balance: Initialize a merchant with a specific balance.
• CREATE payment_id merchant_id amount: Create a payment for a merchant. When a payment is successfully processed, the amount is added to the merchant’s balance.

Payment states and transitions are implied: once a payment is processed successfully, its amount is added to the merchant’s balance.

Input

A list of strings, each representing a command.

Output

Final state of each merchant's balance after all commands have been executed.

Example

Input:
[
  "INIT m1 1000",
  "CREATE p1 m1 200",
  "CREATE p2 m1 300"
]

Output:
{
  "m1": 1500
}

---

Part 2: Refund Feature

Problem Description

Building upon Part 1, support an additional command:

• REFUND payment_id: Refund the given payment. This subtracts the payment amount from the associated merchant's balance.

Only successfully created payments can be refunded.

Example

Input:
[
  "INIT m1 1000",
  "CREATE p1 m1 200",
  "REFUND p1"
]

Output:
{
  "m1": 1000
}

---

Part 3: Additional Command Variants

Problem Description

Add more commands or handle additional payment states if applicable. Commands so far include:

• INIT
• CREATE
• REFUND

Command semantics remain the same. Processing logic should ensure correct balance updates.

---

Part 4: Timestamp and Refund Limit

Problem Description

Each command now includes a timestamp as the first element (an integer). When initializing a merchant, a refund_limit is also included (in the same time unit as timestamps).

New format for INIT:

• timestamp INIT merchant_id balance refund_limit

The REFUND command should only succeed if it occurs within refund_limit time after the payment was created.

Example

Input:
[
  "1 INIT m1 1000 10",
  "2 CREATE p1 m1 200",
  "5 REFUND p1",
  "15 REFUND p1"
]

Output:
{
  "m1": 1000
}

Explanation:

• Refund at timestamp 5 is allowed (within refund limit).
• Refund at timestamp 15 is denied (outside refund window).

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