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How to calculate the vaporization of a city?

I've been working on some calcs for Diablo from Isekai Maou's AP, specifically regarding the use of "The Flames of Ruination". I've already calced out the vaporization of the dirt in the beam's path from the manga, and the vaporization of the city's moat, but I have no idea how to calc the vaporization of the city itself. I've tried experimenting with some explosive yield formulas, but I can't find one that specifies an area of total near instant vaporization. The fireball radius of a nuke doesn't work, because it only reaches the necessary temperatures at a far smaller radius and for not enough time. I have the total perimeter of the city walls, the area inside of them, as well as the radius of a circle that circumscribes the whole city. I'm just hoping that there's some acceptable calc outside of trying to find the energy required to vaporize every individual structure in the city.
 
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