Was Baasha still king of Israel in the 36th year of the reign of King Asa of Judah?

In 2 Chronicles we read of how King Asa of Judah’s political dealings removed the threat of King Baasha of Israel. Baasha was building Ramah to close off Judah, but Asa sent tribute to Baasha’s ally King Ben-hadad of Aram, breaking their alliance and forcing Baasha to withdraw. This took place in the 36th year of Asa’s reign:

In the thirty-sixth year of the reign of Asa, King Baasha of Israel went up against Judah, and built Ramah, to prevent anyone from going out or coming into the territory of King Asa of Judah. Then Asa took silver and gold from the treasures of the house of the Lord and the king’s house, and sent them to King Ben-hadad of Aram, who resided in Damascus, saying, ‘Let there be an alliance between me and you, like that between my father and your father; I am sending to you silver and gold; go, break your alliance with King Baasha of Israel, so that he may withdraw from me.’ Ben-hadad listened to King Asa, and sent the commanders of his armies against the cities of Israel. They conquered Ijon, Dan, Abel-maim, and all the store-cities of Naphtali. When Baasha heard of it, he stopped building Ramah, and let his work cease. Then King Asa brought all Judah, and they carried away the stones of Ramah and its timber, with which Baasha had been building, and with them he built up Geba and Mizpah. [2 Chronicles 16:1-6 (NRSV)]

The curious thing about this is that according to 1 Kings, Baasha’s reign ended in the 27th year of Asa’s reign:

In the third year of King Asa of Judah, Baasha son of Ahijah began to reign over all Israel at Tirzah; he reigned for twenty-four years. [1 Kings 15:33 (NRSV)]

If Baasha began to reign in Asa’s 3rd year and reigned for 24 years, then his reign would have ended in Asa’s 27th year.

So was Baasha dead or alive in the 36th year of the reign of King Asa?