===== ISTEM =====
Solve the following programming task.

TASK: Payment and Refund Reconciliation

Write a function 'reconcile(transactions)' that processes a list of payment and refund transactions in order and returns a dict with two keys, 'balances' and 'rejected'.

Each transaction is a dict with the keys 'id' (str), 'type' ('payment' or 'refund'), 'account' (str) and 'amount' (int, in cents). A refund also has 'refers_to', the id of the payment it refunds. You can assume every transaction has these keys with these types.

Process the transactions in list order:
- A transaction whose id has already appeared earlier in the list is rejected with reason 'duplicate', whether or not the earlier one was accepted.
- A transaction whose amount is 0 or negative is rejected with reason 'invalid_amount'.
- A refund is rejected with reason 'unknown_payment' if 'refers_to' is not the id of an earlier, accepted payment. This includes ids of refunds, ids of rejected payments, and ids of payments that appear later in the list.
- A refund is rejected with reason 'account_mismatch' if its account differs from the account of the payment it refers to.
- A refund is rejected with reason 'over_refund' if the accepted refunds for that payment, including this one, would add up to more than the payment's amount.
- If more than one reason applies, use the first one in the order listed above.
- An accepted payment adds its amount to its account's balance; an accepted refund subtracts its amount. Rejected transactions change nothing.

Return:
- 'balances': a dict mapping each account that appears in at least one accepted transaction to its final balance in cents. Accounts that appear only in rejected transactions are not included.
- 'rejected': a list of (id, reason) tuples, in the order the rejected transactions appeared.

STARTER CODE (python):
def reconcile(transactions: list) -> dict:
    # Write your code here
    pass


RULES:
- Keep the function name and signature EXACTLY as given.
- Return working code only. No explanations.
- Put the code in a single ``` block.
- Try to solve it first. If you genuinely cannot, write only this single
  line instead of producing faulty code: CANNOT_SOLVE

===== HAM YANIT =====
```python
def reconcile(transactions: list) -> dict:
    balances = {}
    rejected = []
    seen = set()
    payments = {}

    for transaction in transactions:
        transaction_id = transaction["id"]

        if transaction_id in seen:
            rejected.append((transaction_id, "duplicate"))
            continue
        seen.add(transaction_id)

        amount = transaction["amount"]
        if amount <= 0:
            rejected.append((transaction_id, "invalid_amount"))
            continue

        account = transaction["account"]

        if transaction["type"] == "payment":
            payments[transaction_id] = {
                "account": account,
                "remaining": amount,
            }
            balances[account] = balances.get(account, 0) + amount
            continue

        payment = payments.get(transaction["refers_to"])
        if payment is None:
            rejected.append((transaction_id, "unknown_payment"))
        elif account != payment["account"]:
            rejected.append((transaction_id, "account_mismatch"))
        elif amount > payment["remaining"]:
            rejected.append((transaction_id, "over_refund"))
        else:
            payment["remaining"] -= amount
            balances[account] -= amount

    return {"balances": balances, "rejected": rejected}
```