In optimal page replacement algorithm, information about all future page…

In optimal page replacement algorithm, information about all future page references is available to the operating system (OS). A modification of the optimal page replacement algorithm is as follows: 

The OS correctly predicts only up to next 4 page references (including the current page) at the time of allocating a frame to a page. 

A process accesses the pages in the following order of page numbers:

1, 3, 2, 4, 2, 3, 1, 2, 4, 3, 1, 4.

If the system has three memory frames that are initially empty, the number of page faults that will occur during execution of the process is ________ . (Answer in integer)?