Early southeast asian rulers built palaces in the architectural style of

Early Southeast Asian rulers built palaces in the architectural style of the Greeks.

Explanation:

The Southeast Asian region had been under the 'influence of the Greeks' right since the arrival of the Aryans into the Indian subcontinent. The Greeks brought with them the art of profound architecture and since then, it was adopted by the Southeast Asian rulers and was continued for a long time with a significant essence of the local cultures. It was only after the arrival of the Mughals to Southeast Asia, the Mughal style of architecture flourished.

The peak above is part of the  sierra madre occidentals ,  a chain of volcanic mountains that runs through the middle of central america.