Consider the following statements regarding the Bahmani Sultanate: 1. It was founded by Alauddin Hasan Bahman Shah in the 14th century following a rebellion against Muhammad bin Tughlaq. 2. The kingdom ultimately fragmented into five independent Deccan sultanates, including Bijapur and Golconda. 3. Mahmud Gawan was a brilliant Bahmani prime minister who successfully bridged the divide between the Afaqi (foreign) and Dakhni (local) nobles. Which of the statements given above is/are correct?