When was the region of Kashmir conquered, according to the Hijri calendar?

The entry of Islam into the Indian subcontinent began in the first century AH via Serendib to Kerala. Then, it entered the Sindh region during the Umayyad era under the leadership of Muhammad ibn al-Qasim al-Thaqafi in the year 90 AH. Islam permeated India through preachers, traders, and travelers. India was fully conquered during the reign of Sultan Mahmud ibn Sebüktigin al-Ghaznawi, who invaded Kashmir and Gujarat. The people of Kashmir embraced Islam at his hands in the year 407 AH.