Accounts receivable lanes

A billing run groups an accounts receivable ledger into three collection lanes before it prints. Each row is a string id|balance_cents|days_past_due, for example INV-1042|1500|4, and the fields are always in that order. Balance is in cents and can be zero or negative once a credit is applied. Days past due can be negative when the invoice is not due yet. A row belongs to the paid lane when its balance is zero or below, whatever its days say. Otherwise it belongs to the overdue lane when days past due is greater than zero, and to the due lane when days past due is zero or below. Return only the ids, overdue lane first, then due, then paid. Within a lane keep the order the rows arrived. An empty ledger returns an empty list.