Which of the following statement(s) is/ are found to be correct? I. The history of Chalukyas, the Karnataka rulers, is classified into three eras: Early Western Eraknown as the Chalukyas of Badami, Later Western Era-known as the Chalukyas of Kalyani and the Eastern Chalukya Era-known as the Chalukyas of Vengi. II. Pulakeshin I was the first independent ruler of Badami with Vatapi in Bijapur as his capital. III. Pulakeshin II defeated the mighty Harsha of Kanauj and won the three kingdoms of Maharashtra, Konkana and Karnata.