Here is a question about this article: The Western Chalukya Empire (Kannada:ಪಶ್ಚಿಮ ಚಾಲುಕ್ಯ ಸಾಮ್ರಾಜ್ಯ) ruled most of the western Deccan, South India, between the 10th and 12th centuries. Vast areas between the Narmada River in the north and Kaveri River in the south came under Chalukya control. During this period the other major ruling families of the Deccan, the Hoysalas, the Seuna Yadavas of Devagiri, the Kakatiya dynasty and the Southern Kalachuri, were subordinates of the Western Chalukyas and gained their independence only when the power of the Chalukya waned during the later half of the 12th century. The Western Chalukyas developed an architectural style known today as a transitional style, an architectural link between the style of the early Chalukya dynasty and that of the later Hoysala empire. Most of its monuments are in the districts bordering the Tungabhadra River in central Karnataka. Well known examples are the Kasivisvesvara Temple at Lakkundi, the Mallikarjuna Temple at Kuruvatti, the Kallesvara Temple at Bagali and the Mahadeva Temple at Itagi. This was an important period in the development of fine arts in Southern India, especially in literature as the Western Chalukya kings encouraged writers in the native language of Kannada, and Sanskrit like the philosopher and statesman Basava and the great mathematician Bhāskara II.
What is the answer to this question: During waht centuries did the Western Chalukya rule?
10th and 12th